query stringlengths 4.29k 25.9k | completion stringlengths 159 840 | num_query_tokens int64 1.15k 17.3k | num_completion_tokens int64 37 191 | num_tokens int64 1.25k 17.4k | abstraction_first stringlengths 155 1.68k | invalid_solution_first stringlengths 13 6.06k | reward_first float64 0.06 1 | advantage_chosen float64 0 0.94 | reward_chosen float64 0.06 1 | min_valid float64 0 0.94 | max_valid float64 0.06 1 | mean_valid float64 0.01 1 | completion_rejected stringlengths 164 1.2k | reward_rejected float64 0 0.94 | reward_diff float64 0.06 1 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
# 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 correspondence, object extraction, color mapping
description:
In the input, you will see several grey objects on a black background, and a row of colored pixels at the top.
To make the output, extract each grey object and change its color to match the color of the corresponding pixel in the row above i... | 3,547 | 66 | 3,613 | concepts:
color correspondence, filling, objects
description:
In the input, you will see several grey objects on a black background, and a row of colored pixels at the top.
To make the output, replace each grey object with the color of the corresponding pixel in the row at the same index,
and fill the grey object with... | To solve this problem, we need to map an input grid to an output grid by replacing each connected region of `5`s (grey objects) with a color from the top row of the input grid. The color for each region is determined by the order of non-zero values in the top row, sorted by their column positions.
### Approach
1. **Ex... | 0.5 | 0.25 | 0.75 | 0.0625 | 0.875 | 0.578125 | concepts:
object detection, color mapping, grid transformation
description:
In the input, you will see several colored objects on a black background, and a row of colored pixels at the top.
To make the output, replace the color of each object with the color of the pixel that corresponds to its position in the row of p... | 0.5 | 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:
line drawing, color mapping
description:
In the input, you will see a grid with a single colored pixel in the center and several colored pixels scattered around the grid.
To make the output, draw lines from the center pixel to each of the scattered colored pixels.
Each line should be colored the same as the ... | 3,564 | 70 | 3,634 | concepts:
color correspondence, diagonal lines, grid transformation
description:
In the input, you will see a grid with colored pixels at the corners and the center.
To make the output, draw diagonal lines from each corner pixel to the center pixel, coloring the lines with the color of the corner pixel. | To solve this problem, we need to transform an input grid into an output grid by drawing diagonal lines between pairs of non-zero values in the input grid. Each non-zero value in the input appears exactly twice, and these two positions form a diagonal line (either with a slope of 1 or -1). The output grid is generated ... | 0.0625 | 0.25 | 0.3125 | 0 | 0.3125 | 0.050781 | concepts:
pattern generation, diagonal lines, color matching
description:
In the input, you will see a grid with a black background and several colored pixels.
To create the output, draw diagonal lines from each colored pixel to the opposite corners of the grid.
The color of the line should match the color of the pixe... | 0 | 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, rotation, grid manipulation
description:
In the input you will see a grid with a central pattern of four differently-colored pixels in a square shape.
To make the output, extract the central pattern, rotate it 90 degrees clockwise, and place it in the center of a new grid. | 1,690 | 64 | 1,754 | concepts:
pattern extraction, rotation, color mapping
description:
In the input you will see a grid with a central pattern that has four different colors in the corners.
To make the output, you should extract the central pattern, rotate it 90 degrees clockwise,
and fill the corners of the output grid with the colors f... | To solve this problem, we need to transform a given 4x4 grid into another 4x4 grid based on specific patterns observed in the examples. The key insight from the examples is that the central 2x2 portion of the input grid is placed in the first and last rows of the output grid, specifically at the first and last columns ... | 1 | 0 | 1 | 0.9375 | 1 | 0.996094 | concepts:
pattern generation, rotation
description:
In the input you will see a grid with a pattern in the center.
To make the output, rotate the pattern 90 degrees clockwise and place it in the output grid. | 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, filling, object detection
description:
In the input, you will see a grid with a colored rectangle in the center and some scattered colored pixels around it.
To make the output, you should fill the rectangle with the color of the nearest scattered pixel. | 3,447 | 56 | 3,503 | concepts:
color matching, filling, boundary detection
description:
In the input, you will see a colored rectangle and some scattered colored pixels.
To make the output, fill the rectangle with the color of the nearest scattered pixel.
If there are multiple closest pixels, choose the one that is located in the upper le... | To solve this problem, we need to map an input grid to an output grid by replacing all cells of the most frequent non-zero color (the "colored rectangle") with the other non-zero color (the "scattered pixels"). The key insight is that the largest contiguous block of a single non-zero color forms the "colored rectangle,... | 0.8125 | 0.1875 | 1 | 0.0625 | 1 | 0.445313 | concepts:
color matching, filling, boundary detection
description:
In the input, you will see a colored rectangle and some scattered colored pixels.
To make the output, fill the rectangle with the color of the nearest scattered pixel.
If there are multiple closest pixels, choose the one that is located in the upper le... | 0.8125 | 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, pixel manipulation
description:
In the input, you will see a grid filled with various colored pixels, including green and yellow pixels.
To create the output grid, you need to:
1. Detect all the green pixels.
2. For each green pixel, replace it with a 3x3 block of oran... | 4,249 | 113 | 4,362 | concepts:
color transformation, pixel manipulation
description:
In the input, you will see a grid with scattered green and yellow pixels.
To make the output, transform all green pixels into orange and all yellow pixels into red.
Additionally, for every orange pixel, create a 3x3 square of orange pixels centered on it.... | To solve this problem, we need to transform an input grid into an output grid based on specific rules. The input grid contains only 0s, 3s, and 4s. The transformation involves:
1. Replacing every 3 in the input grid with a 3x3 block of 7s centered at that position.
2. Replacing every 4 in the input grid with a 3x3 bloc... | 0.6875 | 0.1875 | 0.875 | 0 | 0.875 | 0.246094 | concepts:
color transformation, pattern detection
description:
In the input, you will see a grid with a black background and colored pixels scattered throughout.
The goal is to find all the isolated green and yellow pixels (1x1 size) and replace them with orange and red squares (3x3 size) respectively.
If a green pixe... | 0.25 | 0.625 |
# 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, reflection, symmetry
description:
In the input, you will see a grid with a pattern of colored pixels.
To make the output, reflect the pattern across the vertical axis of the grid.
Each colored pixel should be mirrored to the corresponding position on the opposite side of the grid. | 2,737 | 62 | 2,799 | concepts:
color mapping, symmetry, mirroring
description:
In the input, you will see a grid with a pattern of colored pixels.
To make the output, mirror the pattern along the vertical axis and change the color of the mirrored pixels
to the color of the corresponding pixel in the original pattern. | To solve this problem, we need to transform an input grid into an output grid by mirroring the pattern along the vertical axis and adjusting the colors of the mirrored pixels to match the corresponding pixels in the original grid. The key insight is that this transformation is equivalent to rotating the entire grid 180... | 0.9375 | 0.0625 | 1 | 0.3125 | 1 | 0.917969 | concepts:
reflection, color mapping
description:
In the input, you will see a grid with colored pixels arranged in a specific pattern.
To make the output, reflect the pattern across the vertical axis of the grid.
Each color should remain the same in the reflected 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:
boundary detection, color filling, object interior
description:
The input grid consists of a background color (black) and several colored shapes (not black).
The task is to find the boundaries of these shapes and fill the interior of each shape with a new color (yellow).
The output grid should maintain the o... | 10,199 | 73 | 10,272 | concepts:
topology, boundary detection, color transformation
description:
The input grid consists of a background color (black) and several colored regions. Each colored region is surrounded by black pixels.
To produce the output, you need to find the boundaries of each colored region and then fill the interior of the... | To solve this problem, we need to map an input grid to an output grid where all non-zero values in the input grid are replaced with the value `4`. The zero values (background) remain unchanged. This transformation effectively converts all colored regions in the input grid to a single yellow color (represented by `4`) w... | 1 | 0 | 1 | 0.375 | 1 | 0.898438 | concepts:
object detection, color transformation
description:
In the input, you will see a grid containing various colored objects, each represented as a connected component.
To create the output grid, you should identify all objects that are not black and change their color to yellow.
If an object is black, it should... | 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 transformation, pixel manipulation
description:
In the input you will see a grid with various colored pixels.
To make the output, change the color of each pixel according to the following rules:
- If the pixel is red, change it to blue.
- If the pixel is blue, change it to green.
- If the pixel is gree... | 3,006 | 161 | 3,167 | concepts:
color transformation, grid manipulation
description:
In the input, you will see a grid filled with various colors. To create the output, change all the green pixels to green,
and all the blue pixels to blue. Additionally, draw a red line along the leftmost column of the grid,
and a green line along the topmo... | To solve this problem, we need to transform an input grid into an output grid based on specific rules derived from the given examples. The key observation is that the output grid is constructed by modifying the input grid in two distinct ways: the first row is transformed to start with a `3` followed by `1`s, and each ... | 0.5 | 0.0625 | 0.5625 | 0.0625 | 0.6875 | 0.332031 | concepts:
color transformation, pixel manipulation
description:
In the input, you will see a grid with colored pixels. The top row contains a sequence of colored pixels, and the rest of the grid contains various colors.
To make the output, change the color of the pixels in the top row to a new color based on their ori... | 0.25 | 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:
color inversion, pattern generation
description:
In the input you will see a 4x4 grid with a pattern of colored pixels.
To make the output, you should invert the colors of the input pattern,
where each color is replaced by its complementary color from a predefined palette. | 1,905 | 59 | 1,964 | concepts:
color mapping, grid transformation
description:
The input is a 4x4 grid where each pixel can be one of ten colors.
To create the output, transform the colors according to the following mapping:
red -> green, blue -> orange, yellow -> pink, green -> red, pink -> yellow,
orange -> blue, grey -> black, pink -> ... | To solve this problem, we need to map each pixel in a 4x4 input grid to a corresponding pixel in the output grid based on a specific color transformation rule. The key insight is that each color (represented by an integer) is mapped to another color according to a predefined set of swaps.
### Approach
1. **Problem An... | 1 | 0 | 1 | 0.125 | 1 | 0.929688 | concepts:
color inversion, grid transformation
description:
In the input, you will see a 4x4 grid with a pattern of colored pixels.
To make the output, invert the colors of the pattern (i.e., change each color to its complementary color)
and place the inverted pattern in the center of the output grid, which is larger ... | 0.875 | 0.125 |
# 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 generation, rotation, tiling
description:
In the input you will see a 3x3 grid with a pattern of colored pixels.
To make the output, rotate the pattern 90 degrees clockwise and tile it to fill a 9x9 grid. | 2,239 | 57 | 2,296 | concepts:
scaling, color transformation
description:
In the input you will see a 3x3 grid with a pattern of colored pixels.
To make the output, scale the pattern to a 9x9 grid by repeating the pattern,
and change the color of the scaled pattern to match the color of the top-left pixel of the input grid. | To solve this problem, we need to map a given 3x3 input grid to a 9x9 output grid by repeating the input pattern both horizontally and vertically. The key insight is that each row of the input grid is repeated three times to form a row of the output grid, and each such row is then repeated three times to form the compl... | 0.875 | 0.0625 | 0.9375 | 0.8125 | 1 | 0.929688 | concepts:
scaling, color transformation
description:
In the input you will see a 3x3 grid with a pattern of colored pixels.
To make the output, scale the pattern to a 9x9 grid by repeating the pattern,
and change the color of the scaled pattern to match the color of the top-left pixel of the input grid. | 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 blending, shape extraction, noise removal
description:
In the input, you will see a black background with several colored shapes. Some of these shapes are surrounded by noise pixels of the same color.
To create the output, remove the noise pixels that do not significantly touch any shape (defined as ha... | 6,196 | 93 | 6,289 | concepts:
noise reduction, object detection, topology
description:
In the input you will see a grid with various colored shapes and random "noise" pixels scattered around.
The noise pixels are the same colors as the shapes.
To make the output, remove the noise pixels while keeping the shapes intact. | To solve this problem, we need to create a function that maps an input grid to an output grid by removing noise pixels while keeping the shapes intact. The noise pixels are defined as single-pixel components (i.e., pixels that are isolated and not part of a larger connected component of the same value).
### Approach
... | 0.0625 | 0.375 | 0.4375 | 0 | 0.625 | 0.128906 | concepts:
object detection, color matching, noise removal
description:
In the input, you will see a grid with several colored circles and some random noise pixels.
To create the output grid, you should remove the noise pixels that do not touch any circles,
and for the noise pixels that touch circles, change their colo... | 0 | 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:
color mapping, pixel manipulation
description:
In the input, you will see a grid filled with colored pixels.
To make the output, change each color according to the following mapping:
red -> green, green -> blue, blue -> red, yellow -> blue, blue -> yellow.
All other colors remain unchanged. | 2,877 | 65 | 2,942 | concepts:
color mapping, pixel manipulation
description:
In the input, you will see a grid filled with colored pixels. Each color represents a different shape:
- Red represents a triangle
- Blue represents a square
- Green represents a circle
- Yellow represents a star
To make the output, replace each shape with its c... | To solve this problem, we need to map each integer in the input grid to a corresponding integer in the output grid based on a specific substitution rule. The examples provided show that each input value (0-4) consistently maps to a specific output value (1-3).
### Approach
1. **Problem Analysis**: The problem require... | 1 | 0 | 1 | 0.9375 | 1 | 0.996094 | concepts:
color mapping, pattern transformation
description:
The input is a grid where each column consists of pixels of different colors.
To create the output, change each color according to the following mapping:
red -> green, green -> blue, blue -> yellow, yellow -> red.
Additionally, if a column has a mix of color... | 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 transformation, pattern extraction
description:
In the input, you will see a grid with a central pattern surrounded by a border of black pixels.
The corners of the grid contain four differently-colored pixels.
To create the output, you should extract the central pattern and change its color to match th... | 2,768 | 87 | 2,855 | concepts:
pattern extraction, color transformation, boundary detection
description:
In the input you will see a grid with a central pattern surrounded by a border of black pixels.
The corners of the grid will contain four differently-colored pixels.
To make the output, you should extract the central pattern (removing ... | To solve this problem, we need to transform an input grid into an output grid by following specific rules derived from the given examples. The key insight is that the central pattern (the inner non-border region) and the four corner pixels of the grid should be modified to match the value of the top-left corner pixel.
... | 0.9375 | 0.0625 | 1 | 0.5625 | 1 | 0.871094 | concepts:
pattern extraction, color transformation, grid manipulation
description:
In the input you will see a grid with a central pattern and four differently-colored pixels at the corners.
To make the output, you should extract the central pattern (removing the corner pixels)
and change the color of the central patt... | 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:
shape recognition, color extraction
description:
In the input you will see a grid filled with various shapes made of colored pixels.
Each shape is surrounded by a black border. To create the output grid, identify the shape that has
the most unique color (the color that appears the most in that shape) and ret... | 3,780 | 79 | 3,859 | concepts:
object detection, color transformation, bounding box
description:
In the input you will see a grid with various colored objects. Each object is a solid color.
To make the output, create a grid where each pixel represents the bounding box of each object.
The color of each pixel should be the color of the corr... | To solve this problem, we need to map an input grid to an output grid where the output is a single-element grid containing the color of the object that has a "hole" in its bounding box. A hole is defined as any zero (background) pixel present within the minimal bounding box of the object.
### Approach
1. **Identify C... | 0.4375 | 0 | 0.4375 | 0 | 0.4375 | 0.164063 | concepts:
object detection, cropping, color extraction
description:
In the input, you will see a grid with several colored objects, some of which are surrounded by a border of a different color.
To make the output, extract the color of the object that is surrounded by the border and output it as a single pixel in the ... | 0.25 | 0.1875 |
End of preview. Expand in Data Studio
README.md exists but content is empty.
- Downloads last month
- 2