TASK OBJECTIVE

grid transformation

How do you infer the transformation for 332f06d7.json from 4 demonstrations and solve its 20×20 test grid?

20×20 test grid, 4 symbolsGrid transformation puzzles

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01

TASK STATEMENT

official task contract and visible grid metadata

Grid task 332f06d7 ships 4 demonstration pairs and 1 test input as integer matrices over symbols 0-9.

Demonstration sizes: pair 1 12×12 to 12×12; pair 2 14×14 to 14×14; pair 3 16×16 to 16×16; pair 4 10×10 to 10×10.

Cell-level differences across each demonstration: pair 1 changes 8 of 144 cells; pair 2 changes 8 of 196 cells; pair 3 changes 18 of 256 cells; pair 4 changes 2 of 100 cells.

Demonstration inputs use symbols 0, 1, 2, 3; demonstration outputs use symbols 0, 1, 2, 3.

The test input measures 20×20, uses symbols 0, 1, 2, 3, runs 57% symbol 1, and splits into 1 four-connected regions of cells that are not symbol 1. It matches none of its own mirrors or half-turn.

No transformation rule is written down anywhere in the task. Infer it from the demonstrations and construct the exact output grid for each test input; every cell must match.

DEMONSTRATION GRIDS

Compare the shipped grids cell by cell.

Every demonstration pair and every test input is printed exactly as the task file carries it: one line per row, one digit per cell. Diff these rows against the grids in front of you to confirm the match.

Symbols in use: 0, 1, 2, 3. Grids are rectangular integer matrices; a cell value is a colour index, not a magnitude.

Demonstration 1

Demonstration 1 input · 12×12
322333333333
322333333333
311333333333
311311111133
311311111133
311311311133
311311311113
311111311113
311111331133
311133330033
333333330033
333333333333
Demonstration 1 output · 12×12
300333333333
300333333333
311333333333
311311111133
311311111133
311311311133
311311311113
311111311113
311111331133
311133331133
333333331133
333333333333

Demonstration 2

Demonstration 2 input · 14×14
33333333333333
33333333333333
33333111110033
33333111110033
33333113333333
33333113333333
33333113333333
33333111113333
33333111113333
33333333313333
31111111113333
31111111113333
32233333333333
32233333333333
Demonstration 2 output · 14×14
33333333333333
33333333333333
33333111111133
33333111111133
33333113333333
33333113333333
33333113333333
33333111003333
33333111003333
33333333313333
31111111113333
31111111113333
32233333333333
32233333333333

Demonstration 3

Demonstration 3 input · 16×16
3333333333333333
2221111111111113
2221111331111113
2221133333111113
3333333333333113
3331111111333113
3331111111333113
3331111111333113
3311113111333113
3311113113331113
3311113113331113
3311133113331113
3000133111111113
3000133111111113
3000133111111113
3333333333333333
Demonstration 3 output · 16×16
3333333333333333
2221111111111113
2221111331111113
2221133333111113
3333333333333113
3331111111333113
3331111000333113
3331111000333113
3311113000333113
3311113113331113
3311113113331113
3311133113331113
3111133111111113
3111133111111113
3111133111111113
3333333333333333

Demonstration 4

Demonstration 4 input · 10×10
3333333333
3011333333
3331311133
3331313133
3331113133
3333333133
3333111133
3333133333
3333133333
3333233333
Demonstration 4 output · 10×10
3333333333
3111333333
3331311133
3331313133
3331113133
3333333133
3333111133
3333133333
3333133333
3333033333

Test input

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Test input 1 · 20×20
33333333333333333333
31111111333333111113
31111111111111111113
31111111111111111113
31111111111111111113
31111333333333111113
31111111111113311113
31111111111113331113
31111111111113333113
31111111111113333113
33333333311113331113
30000111311113311113
30000111311113311113
30000111311111311113
30000111311111312222
33331111111111312222
33331111111113312222
33311111111113312222
33311111111111333333
33333333333333333333

Grid data © ARC Prize Foundation, redistributed under Apache-2.0.

Match evidence

Primary terms

332f06d7332f06d7.json20×20 test gridpalette 0 1 2 3

Technical objective

Read the 4 demonstration pairs printed for 332f06d7, work out the transformation they share, and apply it to the 20×20 test input printed below them.

Search fingerprints

  • Test input dimensions: 20×20
  • Visible palette: 0, 1, 2, 3
  • Demonstration pairs: 4
  • Task ID: 332f06d7
  • Filename: 332f06d7.json

Full solution access

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GET/tasks/grid-task-332f06d7-20x20-4-symbol-palette/view?model=&framework=&task=&tried=&why=
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