query stringlengths 4.64k 26.4k | completion stringlengths 152 1.23k | num_query_tokens int64 1.26k 17.6k | num_completion_tokens int64 32 405 | num_tokens int64 1.32k 17.7k | abstraction_first stringlengths 147 953 | invalid_solution_first stringlengths 0 6.15k | reward_first float64 0 1 | advantage_chosen float64 -1 1 | reward_chosen float64 0 1 | min_valid float64 0 1 | max_valid float64 0 1 | mean_valid float64 0 1 |
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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:
scaling, object detection
description:
In the input, you will see a grid with a single blue pixel and a larger yellow square surrounding it.
To make the output, scale the blue pixel to the size of the yellow square and place it in the center of the yellow square. | 6,199 | 59 | 6,258 | concepts:
object detection, pattern filling
description:
In the input you will see a grid containing a blue pixel surrounded by a yellow border.
To make the output grid, you should fill the area inside the yellow border with a blue square pattern of size 2x2. | To solve this problem, we need to map an input grid to an output grid by transforming a single blue pixel (value 1) surrounded by a yellow border (value 4) into a 2x2 blue square pattern (value 1) positioned one row above and two columns to the left of the original blue pixel. The solution involves identifying the posi... | 0 | 0 | 0 | 0 | 0 | 0 |
# 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:
boundary detection, color filling
description:
In the input grid, you will see a mix of colored pixels, where some pixels are colored red and others are colored green.
The red pixels form closed shapes, while the green pixels are scattered throughout the grid.
To create the output, you should fill the interi... | 4,254 | 78 | 4,332 | concepts:
topology, boundary detection
description:
The input grid consists of a black background with several colored shapes.
To create the output, find the boundaries of each colored shape and color the interior of these shapes blue.
The boundaries themselves should remain unchanged. | To solve this problem, we need to map an input grid to an output grid where the interiors of all colored shapes (specifically regions of `2`s) are filled with `1`s, while the boundaries of these shapes remain unchanged. The solution involves identifying connected regions of `2`s, determining their minimal bounding rect... | 0.5625 | -0.125 | 0.4375 | 0.375 | 0.9375 | 0.609375 |
# 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 mapping, pattern repetition
description:
In the input, you will see a grid with a horizontal line of colors on the top row, and a vertical line of colors on the left column.
To make the output, repeat the colors in the top row to fill the entire grid horizontally, and repeat the colors in the left colu... | 1,991 | 89 | 2,080 | concepts:
color correspondence, horizontal stripe pattern
description:
In the input, you will see a grid with a single row of colored pixels at the top.
Below this row, there is a grey line.
To make the output, create a series of horizontal stripes below the grey line,
where each stripe corresponds to a color in the t... | To solve this problem, we need to map an input grid to an output grid based on specific patterns observed in the given examples. The key insight is that the number of zero rows to be kept after the grey line (second row) in the output is determined by the count of elements in the top row (first row) that are greater th... | 0 | 0 | 0 | 0 | 0.0625 | 0.015625 |
# 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 inversion, object detection, cropping
description:
In the input, you will see several colored objects on a black background. Each object has a single pixel of a different color inside it.
To make the output, invert the color of each object (change its color to its complementary color) and crop the outp... | 9,079 | 76 | 9,155 | concepts:
object detection, color mapping
description:
In the input you will see several 3x3 green squares, each containing a single colored pixel.
To make the output, create a 3x3 grid where each cell corresponds to the color of the pixel in the corresponding green square from the input.
Each green square should be r... | To solve this problem, we need to map an input grid to an output grid based on specific patterns observed in the examples. The key insight from the examples is that the output grid contains a 3x3 block at the top-left corner where the center cell holds the smallest non-3 value found in the input grid, and all other cel... | 0 | 0 | 0 | 0 | 0 | 0 |
# 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, bounding box
description:
In the input you will see several colored objects on a black background.
To make the output, identify the largest colored object and change all other objects to the color of the largest object. | 4,148 | 51 | 4,199 | concepts:
color extraction, object detection, bounding box
description:
In the input, you will see a grid with several colored objects scattered throughout.
To create the output, find the object with the largest area and extract its color.
Fill the output grid with this color, while keeping the background black. | To solve this problem, we need to map an input grid to an output grid by identifying the largest connected component (by area) of non-zero cells and then filling the output grid with this component's color within its bounding box, while keeping the rest of the grid as zeros.
### Approach
1. **Identify Connected Compon... | 0 | 0 | 0 | 0 | 0 | 0 |
# 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, grid manipulation
description:
In the input, you will see a grid filled with colored pixels. The goal is to count the occurrences of each color in the grid and create a new grid where each row corresponds to a unique color found in the input grid.
The number of rows in the out... | 2,301 | 120 | 2,421 | concepts:
counting, color mapping, grid transformation
description:
In the input you will see a grid with various colored pixels.
To make the output, count the number of each color pixel in the grid.
Then, create a new grid where each row corresponds to a unique color found in the input,
and the number of pixels in ea... | To solve this problem, we need to map an input grid to an output grid based on specific transformation rules. The key insight from the problem examples and description is that the output consists of unique non-zero numbers from the input grid, sorted in descending order, each presented as a single-element list. The out... | 0.0625 | 0.75 | 0.8125 | 0 | 0.875 | 0.167969 |
# 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, area calculation
description:
In the input you will see a grid with various colored objects.
To create the output grid, change the color of all objects with an area greater than 10 to orange,
and all objects with an area less than or equal to 10 to green. | 8,511 | 67 | 8,578 | concepts:
filling, object detection
description:
The input consists of a black grid containing several hollow grey shapes. Each shape is a polygon made of grey lines.
To create the output, fill in the hollow grey shapes with green if they have an even number of sides, and with orange if they have an odd number of side... | To solve this problem, we need to map an input grid to an output grid where each hollow grey shape (represented by `5` in the input) is filled with `7` (green) if it has an even number of sides, or `3` (orange) if it has an odd number of sides.
### Approach
1. **Problem Analysis**: The input grid consists of `0`s (ba... | 0 | 0.125 | 0.125 | 0 | 0.3125 | 0.082031 |
# 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
description:
In the input you will see a grid with several colored objects.
To make the output grid, you should detect all yellow objects and change their color to green. | 3,482 | 43 | 3,525 | concepts:
color transformation, object detection
description:
In the input, you will see a grid with a yellow object and a blue object.
To create the output, change the color of the yellow object to green if it is larger than the blue object,
or change it to yellow if it is smaller than the blue object. | To solve this problem, we need to map an input grid to an output grid by identifying the largest contiguous rectangle of non-zero values and changing all cells within this rectangle to the value `3`. The solution involves iterating through all possible rectangles in the grid to find the one with the largest area that c... | 0.5625 | 0.4375 | 1 | 0 | 1 | 0.769531 |
# 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:
scaling, color change, object detection
description:
In the input you will see a grid with a blue object and a yellow object.
To make the output grid, you should scale the blue object to the size of the yellow object and change its color to red. | 2,028 | 56 | 2,084 | concepts:
object detection, color transformation
description:
In the input, you will see a grid with several blue squares and a yellow square.
To create the output, you should change the color of the blue squares to red if they are adjacent to the yellow square,
and leave the other blue squares unchanged. | To solve this problem, we need to map an input grid to an output grid based on specific transformation rules. The key insight from the examples is that blue squares (represented by `1`) adjacent to yellow squares (represented by `4`) in the input grid should be transformed to red (`2`), while yellow squares should be t... | 0 | 0 | 0 | 0 | 0 | 0 |
# 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:
bounding box, color filling, pixel manipulation
description:
In the input you will see a grid with several colored pixels forming a shape.
To make the output, you should find the bounding box of the colored shape and fill that box with the same color as the shape.
The output grid should retain the original s... | 5,970 | 83 | 6,053 | concepts:
shape detection, bounding box, color filling
description:
In the input, you will see a grid containing several colored shapes. Each shape is surrounded by a black background.
To make the output, detect the bounding box of each shape and fill it with the color of the shape.
The output grid should have the sam... | To solve this problem, we need to map an input grid to an output grid where each connected shape (region of the same non-zero value) is replaced by its bounding box filled with the shape's color. The bounding box is the smallest rectangle that contains all the cells of the connected shape.
### Approach
1. **Problem An... | 0 | 0 | 0 | 0 | 0 | 0 |
# 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 transformation, grid manipulation
description:
In the input you will see a grid containing a pattern of colored pixels surrounded by a black background.
To make the output, extract the central pattern and change its color to match the average color of the surrounding pixels. | 4,548 | 57 | 4,605 | concepts:
color transformation, shape detection
description:
In the input, you will see a grid containing various colored shapes. Each shape is surrounded by a border of a different color.
To create the output, change the color of each shape to the color of its border, while keeping the border intact. | To solve this problem, we need to transform an input grid into an output grid by changing the inner parts of each non-zero shape to the color of its border while keeping the border intact. The key insight is that for each connected component of non-zero cells (a shape), the border color is the color of the cell immedia... | 0 | 0 | 0 | 0 | 0 | 0 |
# 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 matching, color transformation, grid manipulation
description:
In the input you will see a grid containing a pattern of colored pixels.
To make the output, you should identify the most frequently occurring color in the input grid,
and then change all other colors to match the most frequently occurrin... | 2,752 | 86 | 2,838 | concepts:
color matching, sliding, grid manipulation
description:
In the input, you will see a grid with colored pixels and a colored square in the bottom right corner.
To make the output, slide the square left and up until it matches the color of the pixel it overlaps with. | To solve this problem, we need to transform an input grid into an output grid based on specific transformation rules derived from the provided examples. The key observation from the examples is that for each row in the grid, the non-zero elements are reversed and placed at the beginning of the row, followed by zeros to... | 0 | 0 | 0 | 0 | 0 | 0 |
# 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 blending, object merging
description:
In the input, you will see a grid with several colored objects. Each object is a solid color and has a unique color.
To create the output, merge all objects of the same color into one single object, and change their color to a blended color.
The blended color is ca... | 5,454 | 80 | 5,534 | concepts:
object detection, stacking, color transformation
description:
In the input you will see several colored objects stacked on top of each other.
To make the output, you should move each object down until it hits the lowest possible position in the grid,
while maintaining their original colors. If multiple objec... | To solve this problem, we need to map an input grid to an output grid where each connected component (object) of non-zero values is moved to the top of its respective column. This approach ensures that all non-zero values in a column are stacked at the top, with zeros filling the remaining positions below them. This tr... | 0 | 0 | 0 | 0 | 0 | 0 |
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