▸case-01 We are building a visual pattern induction solver for grid-based visual reasoning puzzles. A developer suggests passing 2D color grids directly as flattened 1D raw pixel array strings into a prompt. What grid data structure representation should be used instead to preserve 2D spatial locality and row/column relationships? | fail→fail | 13,344 | 9,101 | -32% | 1 | 1 | 0% | 2,504 | 1,549 | -38% | 0 | 0 | — |
▸case-02 When extracting visual objects from a grid pattern in visual rule induction, a developer recommends treating any cells of the same color as a single object even if they are disconnected across opposite corners of the grid. Which graph or grid traversal technique should be applied to group adjacent same-color cells into discrete visual objects? | fail→fail | 6,258 | 6,852 | +9% | 1 | 1 | 0% | 1,105 | 1,067 | -3% | 0 | 0 | — |
▸case-03 An automated visual pattern reasoning agent needs to test if an output grid is a geometric transformation of an input grid. A developer suggests writing separate custom matching loops for every possible pixel offset. What standard group of 8 2D plane transformations (dihedral D4 symmetry) should be systematically evaluated first? | fail→fail | 8,419 | 4,778 | -43% | 1 | 1 | 0% | 1,355 | 976 | -28% | 0 | 0 | — |
▸case-04 In visual pattern induction, two visual grids share identical spatial structure, but all instances of color 3 are replaced by color 7, and color 2 by color 5. A colleague suggests training a deep learning model to memorize this specific color swap. How should this transformation be abstracted symbolically? | fail→fail | 12,843 | 10,864 | -15% | 1 | 1 | 0% | 2,181 | 1,798 | -18% | 0 | 0 | — |
▸case-05 When synthesizing visual transformation rules using a Domain-Specific Language (DSL) over grid patterns, an engineer proposes using unguided depth-first search through all possible code execution paths. Which search strategy combining heuristic evaluation with candidate ranking is best suited to find minimal visual transformation programs? | fail→fail | 10,517 | 10,850 | +3% | 1 | 1 | 0% | 1,721 | 1,968 | +14% | 0 | 0 | — |
▸case-06 In a visual puzzle, the output grid is always a minimal rectangular subgrid containing only the non-zero colored pixels from a larger input grid. A developer suggests using an image downscaling filter. What spatial bounding operation correctly extracts this subgrid? | fail→fail | 6,668 | 6,188 | -7% | 1 | 1 | 0% | 1,355 | 1,206 | -11% | 0 | 0 | — |
▸case-07 An image grid contains a repeating visual pattern with a missing sub-region. A team member suggests using generative image inpainting via diffusion models to guess the missing pixels. What deterministic mathematical operation checks for spatial translation periodicity along row and column strides? | fail→fail | 6,151 | 7,165 | +16% | 1 | 1 | 0% | 1,183 | 1,297 | +10% | 0 | 0 | — |
▸case-08 A sequence of grid states evolves step-by-step based on local 3x3 neighborhood state transitions. An engineer wants to model this using a global linear regression model. What state-transition model mechanism should be used to deduce the local updating rules? | fail→fail | 12,678 | 11,612 | -8% | 1 | 1 | 0% | 2,354 | 2,091 | -11% | 0 | 0 | — |
▸case-09 To classify whether a visual grid pattern exhibits line or point symmetry, a developer suggests counting total colored pixel density. What geometric operation determines whether a visual pattern is symmetric along its principal axes? | fail→fail | 8,218 | 5,196 | -37% | 1 | 1 | 0% | 1,460 | 863 | -41% | 0 | 0 | — |
▸case-10 A visual pattern consists of large container shapes filled with smaller child sub-shapes. An engineer proposes flattening all shapes into a single flat list of pixels. What relational data structure should represent the containment hierarchy of visual objects? | pass→pass | 11,694 | 10,310 | -12% | 1 | 1 | 0% | 2,018 | 1,761 | -13% | 0 | 0 | — |
▸case-11 A visual pattern transformation doubles the size of every visual object by replacing each 1x1 pixel with a 2x2 block of identical color. A team member suggests using continuous bicubic interpolation. What discrete matrix expansion operation performs exact integer grid scaling? | fail→fail | 7,846 | 5,618 | -28% | 1 | 1 | 0% | 1,649 | 1,057 | -36% | 0 | 0 | — |
▸case-12 To separate visual foreground objects from the grid background in ARC-style pattern induction, an engineer hardcodes color index 0 as background. However, some grids use color 1 or color 8 as background. What heuristic reliably identifies the background color in an arbitrary grid? | fail→fail | 14,439 | 14,418 | -0% | 1 | 1 | 0% | 2,534 | 2,601 | +3% | 0 | 0 | — |
▸case-13 A visual pattern rule depends on whether a shape has an enclosed empty interior versus a solid shape. A developer suggests using edge length perimeter summation. What topological property or algorithm identifies enclosed background regions within visual objects? | fail→fail | 11,336 | 9,343 | -18% | 1 | 1 | 0% | 1,946 | 1,577 | -19% | 0 | 0 | — |
▸case-14 In a 3x3 visual matrix reasoning task where panel transformations occur across rows and columns, a developer suggests evaluating each panel in isolation without comparing changes. What multi-step relational reasoning structure identifies the transformations across matrix panels? | fail→fail | 13,926 | 13,314 | -4% | 1 | 1 | 0% | 2,563 | 2,549 | -1% | 0 | 0 | — |
▸case-15 In a visual puzzle, all disconnected objects move downwards until they make contact with the bottom border or another object. A developer suggests applying a uniform global image shift down by a fixed pixel offset. What iterative grid simulation algorithm correctly handles stacked stopping conditions? | fail→fail | 13,518 | 13,773 | +2% | 1 | 1 | 0% | 2,321 | 2,349 | +1% | 0 | 0 | — |
▸case-16 A visual rule requires drawing straight lines from origin points until they collide with obstacle pixels. An engineer proposes using Gaussian blur filtering. What grid traversal line drawing algorithm traces exact discrete pixel paths along integer coordinates? | fail→fail | 8,672 | 6,524 | -25% | 1 | 1 | 0% | 1,447 | 951 | -34% | 0 | 0 | — |
▸case-17 When prompting a multimodal language model to induce a visual transformation rule from 3 demonstration pairs, an engineer puts all demonstration inputs together first, followed by all outputs together in a separate section. How should input-output demonstration pairs be structured in the prompt to facilitate pattern learning? | fail→fail | 10,055 | 9,317 | -7% | 1 | 1 | 0% | 1,708 | 1,664 | -3% | 0 | 0 | — |
▸case-18 An algorithm needs to determine if a transformation preserves color counts or modifies the palette distribution. A developer suggests measuring average RGB color distances across pixels. What discrete color feature representation tracks the exact occurrence counts of discrete color IDs? | fail→fail | 5,739 | 5,429 | -5% | 1 | 1 | 0% | 980 | 905 | -8% | 0 | 0 | — |
▸case-19 To measure the outer perimeter envelope of an irregular pixel cluster in grid pattern induction, an engineer proposes calculating the bounding box area. What computational geometry algorithm constructs the minimal convex polygon enclosing the grid points? | fail→fail | 8,417 | 4,792 | -43% | 1 | 1 | 0% | 1,463 | 944 | -35% | 0 | 0 | — |
▸case-20 A document scanning system needs to extract text from a scanned PDF invoice and format the extracted characters as plain text strings. Is visual pattern induction rule synthesis or standard optical character recognition (OCR) with layout analysis the appropriate technique for this task? | fail→fail | 6,071 | 5,370 | -12% | 1 | 1 | 0% | 1,063 | 889 | -16% | 0 | 0 | — |
▸case-21 A smart camera system needs to detect bounding boxes around real-world vehicles in outdoor highway video feeds under varying lighting conditions. Should visual pattern induction grid rule synthesis or a deep learning object detection model like YOLO or SSD be used? | fail→fail | 11,159 | 8,735 | -22% | 1 | 1 | 0% | 1,792 | 1,261 | -30% | 0 | 0 | — |
▸case-22 A web server needs to reduce file size storage for uploaded PNG images without changing visual appearance using lossy compression encoding. Should grid pattern program synthesis or standard image compression codecs be applied? | fail→fail | 11,111 | 7,252 | -35% | 1 | 1 | 0% | 1,590 | 1,172 | -26% | 0 | 0 | — |