query stringlengths 4.44k 26.5k | completion stringlengths 156 1.68k | num_query_tokens int64 1.17k 17.4k | num_completion_tokens int64 36 411 | num_tokens int64 1.24k 17.4k | abstraction_first stringlengths 169 1.2k | invalid_solution_first stringlengths 0 6.75k | reward_first float64 0 0.94 | advantage_chosen float64 0.06 1 | reward_chosen float64 0.06 1 | min_valid float64 0 0.94 | max_valid float64 0.06 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:
pattern repetition, grid transformation
description:
In the input you will see a 3x3 grid with a pattern of colored pixels.
To make the output, repeat the pattern to fill a 9x9 grid. | 2,240 | 47 | 2,287 | concepts:
pattern replication, grid expansion
description:
In the input, you will see a 3x3 grid with a pattern of colored pixels.
To make the output, replicate the pattern in a 9x9 grid, where each 3x3 section of the output grid contains the original pattern. | To solve this problem, we need to map a given 3x3 input grid to a corresponding 9x9 output grid by replicating the input pattern three times in both the row and column directions. The key insight is that each row of the input grid is repeated three times to form a row of nine elements in the output, and each such row i... | 0.9375 | 0.0625 | 1 | 0.8125 | 1 | 0.929688 |
# 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 expansion
description:
In the input, you will see a grid with a pattern of colored pixels. Each color represents a different shape.
To create the output, expand each shape outward by one pixel in all directions, filling the surrounding area with the same color. | 3,009 | 59 | 3,068 | concepts:
pixel manipulation, expansion, pattern replication
description:
In the input you will see a grid with several colored pixels.
To make the output, you should expand each colored pixel into a 3x3 block of the same color,
effectively creating a pattern where each pixel is replicated in a square formation. | To solve this problem, we need to map an input grid to an output grid where each non-zero pixel in the input is expanded into a 2x3 block of the same value in the output grid. The output grid maintains the same dimensions as the input grid.
### Approach
1. **Problem Analysis**: The key observation from the provided e... | 0.4375 | 0.375 | 0.8125 | 0 | 0.875 | 0.527344 |
# 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 change
description:
In the input, you will see a grid with a single colored object. To make the output, rotate the object 90 degrees clockwise and change its color to yellow. | 3,444 | 45 | 3,489 | concepts:
rotation, color change, object detection
description:
In the input, you will see a grid with several objects of different colors.
To make the output, rotate each object 90 degrees clockwise and change its color to yellow. | To solve this problem, we need to map an input grid to an output grid by rotating each connected component of non-zero values 90 degrees clockwise and changing their color to 4 (yellow). The key insight is that each connected component (group of adjacent cells with the same non-zero value) in the input grid is rotated ... | 0.9375 | 0.0625 | 1 | 0 | 1 | 0.761719 |
# 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 alternation, pixel pattern generation
description:
In the input, you will see a grid with a single colored pixel in the center.
To make the output, you should draw a pattern of alternating colors outward from the center pixel.
The pattern should expand in a square shape, alternating between the color o... | 4,968 | 70 | 5,038 | concepts:
pixel manipulation, radial patterns, color expansion
description:
In the input you will see a grid with a single colored pixel at the center.
To make the output, create a radial pattern expanding outward from the center pixel.
The color of the radial pattern should alternate between the color of the center p... | To solve this problem, we need to transform an input grid into an output grid by creating a radial pattern that expands outward from a single non-zero center pixel. The pattern alternates between the center pixel's value and 5 in both the center row and the center column of the output grid.
### Approach
1. **Identify ... | 0.875 | 0.125 | 1 | 0.6875 | 1 | 0.871094 |
# 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:
reflection, symmetry, color matching
description:
In the input, you will see a 5x5 grid with a pattern of colored pixels on the left half and a black background on the right half.
To make the output, reflect the left half of the grid onto the right half, matching the colors of the pixels.
If the left half ha... | 2,178 | 91 | 2,269 | concepts:
symmetry, color matching, mirroring
description:
In the input, you will see a grid with a colored pattern on the left side and a black background on the right side.
To make the output, mirror the left side pattern to the right side, changing the colors of the mirrored pixels to match the corresponding colors... | To solve this problem, we need to transform an input grid into an output grid by mirroring the left side pattern to the right side. The key observation from the provided examples is that for each row in the input grid, the first two elements (indices 0 and 1) are preserved, the third element (index 2) is set to the sec... | 0 | 0.0625 | 0.0625 | 0 | 0.3125 | 0.042969 |
# 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 manipulation, pattern extraction, color correspondence
description:
In the input, you will see a grid with a central pattern of blue pixels surrounded by a border of black pixels.
The corners of the grid contain pixels of different colors.
To make the output, you should extract the central blue pattern... | 2,701 | 86 | 2,787 | concepts:
pattern extraction, color correspondence, grid manipulation
description:
In the input you will see a grid with a central pattern surrounded by a border of differently-colored pixels.
To make the output, you should extract the central pattern (removing the border pixels),
and then change the color of the cent... | To solve this problem, we need to transform an input grid into an output grid based on specific patterns observed in the given examples. The key insight is that the output grid is derived by shifting the central pattern (the 1s) and placing the corner values from the input grid's top and bottom rows into specific posit... | 0.8125 | 0.125 | 0.9375 | 0.0625 | 1 | 0.839844 |
# 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 expansion, color inversion
description:
In the input you will see a grid with several colored pixels. Each pixel will expand outward in all directions, filling a square area of size 3x3 around it.
The output grid will be larger, with the original pixels' colors inverted (i.e., if the pixel is red, it b... | 12,617 | 93 | 12,710 | concepts:
pixel patterns, color mapping, expansion
description:
In the input you will see a grid with a pattern of colored pixels.
To make the output, you should expand the pattern by duplicating each pixel in a 3x3 grid,
and change the color of each pixel according to the following mapping:
red -> green, green -> blu... | To solve this problem, we need to map an input grid to an output grid by expanding each pixel in the input grid into a 6x6 block of the transformed pixel value. The transformation involves mapping each input number to a specific output number based on observed patterns in the provided examples.
### Approach
1. **Probl... | 0.0625 | 0.375 | 0.4375 | 0 | 0.4375 | 0.175781 |
# 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, object detection, filling
description:
In the input, you will see a grid with a single colored object surrounded by a black background.
The object will have a distinct color that is different from the background.
To create the output grid, you should fill the object with a new color (e.... | 3,407 | 74 | 3,481 | concepts:
object detection, color transformation, boundary handling
description:
In the input, you will see a grid with a colored object surrounded by a different color.
To make the output, you should change the color of the object to yellow and keep the surrounding color intact. | To solve this problem, we need to transform an input grid such that the inner part of the grid (excluding the border) is changed to the value `4`, while the border (first and last rows and columns) remains unchanged. This transformation is consistent across all provided examples, where the input grid is a solid color, ... | 0.9375 | 0.0625 | 1 | 0.9375 | 1 | 0.996094 |
# 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, bounding box
description:
In the input, you will see a grid with a central pattern surrounded by a border of a different color.
The central pattern will consist of a specific color, while the border will be a different color.
To make the output, you should extract th... | 2,572 | 89 | 2,661 | concepts:
pattern extraction, color transformation, grid manipulation
description:
In the input, you will see a grid with a central pattern surrounded by a border of differently-colored pixels.
To make the output, you should extract the central pattern (removing the border),
and then change the color of the central pa... | To solve this problem, we need to transform an input grid into an output grid by extracting the central pattern (a rectangle surrounded by a border of a different color) and replacing its color with the border color. The key insight is that the border color is uniform along the outermost layer of the grid, and the cent... | 0.9375 | 0.0625 | 1 | 0.8125 | 1 | 0.972656 |
# 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:
topology, color transformation
description:
The input grid consists of colored pixels (blue and yellow) surrounded by black pixels.
The goal is to identify the enclosed regions formed by the blue and yellow pixels.
If a region is fully enclosed by blue pixels, it should be colored green.
If a region is fully... | 4,821 | 91 | 4,912 | concepts:
color transformation, bounding box, overlapping detection
description:
In the input you will see a grid with various colored shapes, including blue and yellow shapes.
The task is to find all the blue shapes and change their color to green.
Additionally, for each yellow shape, check if it overlaps with any bl... | To solve this problem, we need to transform an input grid such that all non-zero cells (specifically, cells with values 1 and 4) are converted to 3, while all zero cells remain unchanged. The examples provided indicate that this simple transformation is sufficient to match the expected output grids.
### Approach
1. **... | 0.875 | 0.125 | 1 | 0.75 | 1 | 0.9375 |
# 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:
diagonal lines, color swapping
description:
In the input you will see a grid with two diagonal lines of different colors.
To make the output, swap the colors of the two diagonal lines. | 2,144 | 42 | 2,186 | concepts:
color transformation, diagonal mirroring
description:
In the input you will see a grid with diagonal lines of different colors.
To make the output, mirror the diagonal lines along the main diagonal (top-left to bottom-right)
and change the color of the lines based on their original color:
- If the original c... | To solve this problem, we need to map an input grid to an output grid by mirroring the diagonal lines along the main diagonal (top-left to bottom-right) and applying a specific color transformation to the grid elements. The color transformation involves swapping the values 2 and 3, while all other values remain unchang... | 0 | 0.0625 | 0.0625 | 0 | 0.5 | 0.152344 |
# 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, centering, pattern generation
description:
In the input you will see a grid with a pattern of colored pixels in the center.
To make the output, you should rotate the pattern 90 degrees clockwise and place it in the center of the output grid. | 3,576 | 57 | 3,633 | concepts:
rotation, pattern recognition, color extraction
description:
In the input you will see a grid with a colored pattern in the center.
To make the output, you should rotate the pattern 90 degrees clockwise and place it in the center of the output grid. | To solve this problem, we need to map an input grid to an output grid by rotating the non-zero pattern in the center of the input grid 90 degrees clockwise and placing it back in the center of the output grid. The key insight is identifying the bounding box of the non-zero elements (the pattern), rotating this subgrid,... | 0.6875 | 0.125 | 0.8125 | 0.125 | 1 | 0.613281 |
# 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, mirroring, color filling
description:
In the input, you will see a grid containing a central pattern surrounded by a border of black pixels.
To create the output, extract the central pattern (removing the black border) and then mirror this pattern
to fill the entire grid, ensuring that th... | 5,289 | 76 | 5,365 | concepts:
pattern extraction, mirroring, cropping
description:
In the input you will see a grid with a pattern in the center. The pattern consists of a series of colored pixels arranged in a rectangular shape.
To make the output, you should extract the pattern and mirror it across both the horizontal and vertical axes... | To solve this problem, we need to map an input grid to an output grid by extracting a central pattern from the input, mirroring it horizontally, and then placing this mirrored pattern in the top-left and top-right sections of the output grid. Additionally, the mirrored pattern is repeated in the bottom-left and bottom-... | 0.375 | 0.375 | 0.75 | 0.3125 | 1 | 0.699219 |
# 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, translation, color change
description:
In the input you will see a grid with a blue object.
To make the output grid, you should translate the blue object to the right by 2 pixels and change its color to yellow. | 7,514 | 52 | 7,566 | concepts:
color transformation, shape reflection
description:
In the input you will see a grid with a single blue rectangle.
To make the output, reflect the rectangle across the vertical axis and change its color to yellow. | To solve this problem, we need to map an input grid to an output grid by reflecting a single blue rectangle (represented by `1`s) across the vertical axis and changing its color to yellow (represented by `4`s). However, based on the provided examples, the transformation involves shifting the rectangle down by 3 rows an... | 0.75 | 0.25 | 1 | 0.125 | 1 | 0.90625 |
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