Datasets:
WhySoCodius
/
in-context-grid-reasoning

Dataset card Data Studio Files
xet
 Community
1
task_id
stringlengths
10
10
rule
stringclasses
40 values
rule_kind
stringclasses
2 values
rule_description
stringclasses
40 values
num_colors
int64
4
6
grid_h
int64
3
6
grid_w
int64
3
6
num_support
int64
2
4
support
listlengths
2
4
query_input
stringlengths
17
71
query_output
stringlengths
7
99
icgr-00589
add_mod
atomic
Add a fixed constant to every cell, modulo the colour count.
5
5
3
4
[ { "input": "2 2 0;1 3 1;2 0 1;1 3 4;0 3 0", "output": "4 4 2;3 0 3;4 2 3;3 0 1;2 0 2" }, { "input": "2 4 1;2 0 3;2 3 3;4 4 0;2 2 3", "output": "4 1 3;4 2 0;4 0 0;1 1 2;4 4 0" }, { "input": "4 4 2;4 3 4;0 2 4;1 1 4;3 0 1", "output": "1 1 4;1 0 1;2 4 1;3 3 1;0 2 3" }, { "input"...
1 4 4;3 3 1;4 0 3;1 3 1;1 4 3
3 1 1;0 0 3;1 2 0;3 0 3;3 1 0
icgr-00404
add_mod+shift_rows
composed
Add a fixed constant to every cell, modulo the colour count. Then, Cyclically shift every row right by a fixed amount.
6
4
3
3
[ { "input": "0 0 5;4 0 1;1 5 2;1 5 2", "output": "2 3 3;4 1 3;5 4 2;5 4 2" }, { "input": "0 1 1;0 0 4;2 5 2;0 2 0", "output": "4 3 4;1 3 3;5 5 2;3 3 5" }, { "input": "4 4 4;4 0 4;2 3 2;0 4 2", "output": "1 1 1;1 1 3;5 5 0;5 3 1" } ]
1 4 4;0 4 0;5 5 1;2 5 5
1 4 1;3 3 1;4 2 2;2 5 2
icgr-00686
flip_h
atomic
Mirror the grid left-to-right.
6
3
5
4
[ { "input": "1 2 5 2 2;5 1 2 2 2;4 3 0 4 5", "output": "2 2 5 2 1;2 2 2 1 5;5 4 0 3 4" }, { "input": "0 5 0 2 1;4 2 0 3 0;1 2 4 4 3", "output": "1 2 0 5 0;0 3 0 2 4;3 4 4 2 1" }, { "input": "4 1 5 2 3;3 3 4 5 4;1 4 3 0 5", "output": "3 2 5 1 4;4 5 4 3 3;5 0 3 4 1" }, { "input"...
5 3 1 0 0;1 5 3 4 3;4 4 2 4 1
0 0 1 3 5;3 4 3 5 1;1 4 2 4 4
icgr-00899
flip_v
atomic
Mirror the grid top-to-bottom.
4
3
4
3
[ { "input": "0 1 2 0;1 3 0 1;1 3 2 2", "output": "1 3 2 2;1 3 0 1;0 1 2 0" }, { "input": "1 1 1 0;3 0 0 0;2 1 1 1", "output": "2 1 1 1;3 0 0 0;1 1 1 0" }, { "input": "1 1 2 1;3 1 1 0;1 2 0 3", "output": "1 2 0 3;3 1 1 0;1 1 2 1" } ]
1 2 2 1;2 3 1 1;1 1 3 3
1 1 3 3;2 3 1 1;1 2 2 1
icgr-00677
border
atomic
Paint the outer border of the grid a fixed colour.
5
4
5
4
[ { "input": "1 2 3 1 2;3 2 0 2 1;1 0 3 4 4;0 3 4 0 2", "output": "0 0 0 0 0;0 2 0 2 0;0 0 3 4 0;0 0 0 0 0" }, { "input": "0 1 2 1 3;4 2 2 1 3;2 4 3 4 1;2 2 2 0 1", "output": "0 0 0 0 0;0 2 2 1 0;0 4 3 4 0;0 0 0 0 0" }, { "input": "4 4 0 2 0;0 4 3 4 2;0 0 1 1 0;1 3 0 3 3", "output": "0...
0 3 2 2 1;3 4 2 0 0;2 0 3 0 2;0 1 0 3 1
0 0 0 0 0;0 4 2 0 0;0 0 3 0 0;0 0 0 0 0
icgr-00362
max_pool2
atomic
Replace each non-overlapping 2x2 block with its maximum value.
5
4
6
4
[ { "input": "2 0 1 3 2 3;1 2 3 1 0 0;3 0 2 0 3 1;0 4 4 0 1 3", "output": "2 3 3;4 4 3" }, { "input": "3 2 2 1 2 3;0 3 1 3 4 0;4 3 1 3 1 1;3 0 0 0 4 4", "output": "3 3 4;4 3 4" }, { "input": "0 0 3 4 4 4;4 2 0 4 2 3;1 3 0 2 0 4;1 3 3 2 4 3", "output": "4 4 4;3 3 4" }, { "input"...
0 1 4 0 3 3;4 3 2 2 0 0;4 3 0 0 4 3;3 2 0 3 0 3
4 4 3;4 3 4
icgr-00139
shift_rows+flip_v
composed
Cyclically shift every row right by a fixed amount. Then, Mirror the grid top-to-bottom.
4
5
3
2
[ { "input": "2 0 2;3 3 3;0 2 2;0 1 0;2 0 0", "output": "0 0 2;1 0 0;2 2 0;3 3 3;0 2 2" }, { "input": "1 3 2;1 0 1;3 2 0;0 3 3;3 2 2", "output": "2 2 3;3 3 0;2 0 3;0 1 1;3 2 1" } ]
2 2 3;0 0 2;1 3 1;2 1 0;0 3 3
3 3 0;1 0 2;3 1 1;0 2 0;2 3 2
icgr-00261
tile_h
atomic
Concatenate the grid with a copy of itself, side by side.
5
5
3
2
[ { "input": "2 2 4;3 2 4;0 1 0;3 1 4;2 1 4", "output": "2 2 4 2 2 4;3 2 4 3 2 4;0 1 0 0 1 0;3 1 4 3 1 4;2 1 4 2 1 4" }, { "input": "4 3 2;2 4 1;3 0 4;2 2 3;3 1 1", "output": "4 3 2 4 3 2;2 4 1 2 4 1;3 0 4 3 0 4;2 2 3 2 2 3;3 1 1 3 1 1" } ]
2 0 4;2 2 4;2 3 1;3 1 3;2 4 4
2 0 4 2 0 4;2 2 4 2 2 4;2 3 1 2 3 1;3 1 3 3 1 3;2 4 4 2 4 4
icgr-00771
tile_h
atomic
Concatenate the grid with a copy of itself, side by side.
6
3
5
4
[ { "input": "3 2 0 0 5;4 1 3 0 0;0 2 2 0 2", "output": "3 2 0 0 5 3 2 0 0 5;4 1 3 0 0 4 1 3 0 0;0 2 2 0 2 0 2 2 0 2" }, { "input": "1 5 0 1 2;3 0 3 0 3;4 0 5 1 5", "output": "1 5 0 1 2 1 5 0 1 2;3 0 3 0 3 3 0 3 0 3;4 0 5 1 5 4 0 5 1 5" }, { "input": "2 2 0 1 1;3 4 2 2 4;4 3 2 2 5", "o...
3 1 3 4 1;4 3 1 4 5;3 1 3 5 1
3 1 3 4 1 3 1 3 4 1;4 3 1 4 5 4 3 1 4 5;3 1 3 5 1 3 1 3 5 1
icgr-00992
flip_h
atomic
Mirror the grid left-to-right.
6
4
5
4
[ { "input": "5 1 0 2 1;4 5 0 5 2;1 4 2 0 0;0 5 1 2 4", "output": "1 2 0 1 5;2 5 0 5 4;0 0 2 4 1;4 2 1 5 0" }, { "input": "0 0 4 1 3;0 3 0 0 0;0 2 1 3 5;2 1 2 1 0", "output": "3 1 4 0 0;0 0 0 3 0;5 3 1 2 0;0 1 2 1 2" }, { "input": "5 5 0 2 1;5 4 1 0 1;3 3 3 0 4;1 2 3 2 0", "output": "1...
4 5 4 0 5;0 5 0 0 3;1 2 3 2 4;0 2 1 3 2
5 0 4 5 4;3 0 0 5 0;4 2 3 2 1;2 3 1 2 0
icgr-00548
flip_h
atomic
Mirror the grid left-to-right.
6
4
5
3
[ { "input": "2 2 5 4 2;2 4 2 5 2;0 0 1 1 1;2 5 0 2 3", "output": "2 4 5 2 2;2 5 2 4 2;1 1 1 0 0;3 2 0 5 2" }, { "input": "2 1 3 4 5;2 0 3 3 3;2 5 1 0 5;3 5 2 5 2", "output": "5 4 3 1 2;3 3 3 0 2;5 0 1 5 2;2 5 2 5 3" }, { "input": "0 4 0 3 5;1 2 4 0 2;5 5 4 4 0;1 2 4 4 4", "output": "5...
0 1 1 3 2;3 1 1 5 2;1 4 5 0 2;1 4 2 0 1
2 3 1 1 0;2 5 1 1 3;2 0 5 4 1;1 0 2 4 1
icgr-00620
color_swap+flip_v
composed
Swap two colours everywhere they appear. Then, Mirror the grid top-to-bottom.
5
4
4
2
[ { "input": "2 3 4 4;2 4 2 2;2 1 3 3;0 0 4 0", "output": "0 0 2 0;4 1 3 3;4 2 4 4;4 3 2 2" }, { "input": "0 4 3 4;3 3 4 0;3 1 4 3;2 3 0 1", "output": "4 3 0 1;3 1 2 3;3 3 2 0;0 2 3 2" } ]
0 4 0 0;4 1 4 4;4 1 4 4;4 3 3 2
2 3 3 4;2 1 2 2;2 1 2 2;0 2 0 0
icgr-00928
flip_h
atomic
Mirror the grid left-to-right.
5
5
3
2
[ { "input": "1 1 4;0 1 1;0 0 1;0 0 1;4 0 3", "output": "4 1 1;1 1 0;1 0 0;1 0 0;3 0 4" }, { "input": "4 0 4;2 1 1;2 2 4;2 4 3;3 1 1", "output": "4 0 4;1 1 2;4 2 2;3 4 2;1 1 3" } ]
4 1 2;2 2 4;4 1 3;0 3 2;4 0 1
2 1 4;4 2 2;3 1 4;2 3 0;1 0 4
icgr-00579
border+color_swap
composed
Paint the outer border of the grid a fixed colour. Then, Swap two colours everywhere they appear.
4
5
4
3
[ { "input": "2 1 0 0;0 1 3 2;1 3 1 3;2 0 3 3;2 2 0 0", "output": "2 2 2 2;2 1 3 2;2 3 1 2;2 2 3 2;2 2 2 2" }, { "input": "0 3 0 0;2 0 2 3;0 3 2 0;2 0 0 1;0 1 3 3", "output": "2 2 2 2;2 2 0 2;2 3 0 2;2 2 2 2;2 2 2 2" }, { "input": "0 2 3 3;1 0 2 0;3 2 3 0;2 3 1 0;2 1 1 3", "output": "2...
3 1 1 2;0 1 1 1;3 1 2 2;3 1 3 2;1 3 3 2
2 2 2 2;2 1 1 2;2 1 0 2;2 1 3 2;2 2 2 2
icgr-00822
border+flip_h
composed
Paint the outer border of the grid a fixed colour. Then, Mirror the grid left-to-right.
6
4
4
4
[ { "input": "2 4 5 3;1 0 1 3;3 1 5 5;2 3 5 2", "output": "1 1 1 1;1 1 0 1;1 5 1 1;1 1 1 1" }, { "input": "5 0 2 3;2 3 2 3;4 4 1 1;0 5 1 5", "output": "1 1 1 1;1 2 3 1;1 1 4 1;1 1 1 1" }, { "input": "5 2 3 4;5 5 4 1;2 2 4 4;4 3 1 5", "output": "1 1 1 1;1 4 5 1;1 4 2 1;1 1 1 1" }, {...
0 5 3 1;3 0 1 4;0 1 1 2;2 1 5 1
1 1 1 1;1 1 0 1;1 1 1 1;1 1 1 1
icgr-00878
shift_rows
atomic
Cyclically shift every row right by a fixed amount.
4
3
5
3
[ { "input": "0 3 3 1 3;2 1 1 1 3;0 3 0 3 0", "output": "3 0 3 3 1;3 2 1 1 1;0 0 3 0 3" }, { "input": "3 1 1 2 2;0 1 3 1 1;0 2 2 2 0", "output": "2 3 1 1 2;1 0 1 3 1;0 0 2 2 2" }, { "input": "0 1 3 2 0;3 0 1 3 3;1 3 0 3 2", "output": "0 0 1 3 2;3 3 0 1 3;2 1 3 0 3" } ]
3 1 2 3 1;3 1 0 1 0;1 3 0 3 0
1 3 1 2 3;0 3 1 0 1;0 1 3 0 3
icgr-00066
shift_rows
atomic
Cyclically shift every row right by a fixed amount.
4
5
4
4
[ { "input": "1 2 2 2;2 0 2 3;2 2 2 2;2 2 3 3;3 1 3 0", "output": "2 2 1 2;2 3 2 0;2 2 2 2;3 3 2 2;3 0 3 1" }, { "input": "3 1 3 2;1 0 0 1;2 0 3 2;0 1 3 2;0 1 1 2", "output": "3 2 3 1;0 1 1 0;3 2 2 0;3 2 0 1;1 2 0 1" }, { "input": "1 2 1 0;0 2 0 0;0 1 2 2;1 2 3 1;2 0 3 0", "output": "1...
1 0 3 3;2 2 1 2;3 1 0 1;0 1 2 3;2 0 2 3
3 3 1 0;1 2 2 2;0 1 3 1;2 3 0 1;2 3 2 0
icgr-00703
add_mod+shift_rows
composed
Add a fixed constant to every cell, modulo the colour count. Then, Cyclically shift every row right by a fixed amount.
5
4
3
2
[ { "input": "1 4 2;1 0 3;4 1 0;2 1 4", "output": "4 3 1;0 3 2;2 1 3;1 4 3" }, { "input": "4 2 2;2 1 0;1 4 0;3 1 1", "output": "4 1 4;2 4 3;2 3 1;3 0 3" } ]
1 1 2;4 2 3;1 4 3;2 4 0
4 3 3;0 1 4;0 3 1;2 4 1
icgr-00913
flip_v
atomic
Mirror the grid top-to-bottom.
4
3
5
4
[ { "input": "2 2 2 0 0;1 1 3 0 0;1 1 0 2 1", "output": "1 1 0 2 1;1 1 3 0 0;2 2 2 0 0" }, { "input": "2 0 1 0 0;3 3 0 2 1;1 0 3 2 3", "output": "1 0 3 2 3;3 3 0 2 1;2 0 1 0 0" }, { "input": "2 3 0 3 0;2 1 0 1 0;2 3 2 0 2", "output": "2 3 2 0 2;2 1 0 1 0;2 3 0 3 0" }, { "input"...
1 1 3 1 2;2 3 0 3 0;1 2 3 1 1
1 2 3 1 1;2 3 0 3 0;1 1 3 1 2
icgr-00487
shift_rows
atomic
Cyclically shift every row right by a fixed amount.
4
5
3
2
[ { "input": "2 1 1;0 3 1;0 0 3;2 0 3;2 0 1", "output": "1 2 1;1 0 3;3 0 0;3 2 0;1 2 0" }, { "input": "3 2 2;0 0 3;1 0 2;2 0 1;2 2 0", "output": "2 3 2;3 0 0;2 1 0;1 2 0;0 2 2" } ]
3 0 1;0 1 3;0 1 1;3 2 3;2 0 2
1 3 0;3 0 1;1 0 1;3 3 2;2 2 0
icgr-00835
transpose
atomic
Swap rows and columns (transpose).
5
5
5
3
[ { "input": "0 4 2 4 1;4 1 4 0 1;0 1 2 0 3;3 3 0 2 1;4 1 4 2 1", "output": "0 4 0 3 4;4 1 1 3 1;2 4 2 0 4;4 0 0 2 2;1 1 3 1 1" }, { "input": "0 1 0 0 1;3 0 3 0 1;2 1 1 2 2;4 3 1 4 0;0 0 4 2 3", "output": "0 3 2 4 0;1 0 1 3 0;0 3 1 1 4;0 0 2 4 2;1 1 2 0 3" }, { "input": "3 3 2 3 0;4 2 0 4 ...
2 3 4 2 4;4 1 2 2 0;0 3 1 2 0;4 1 2 3 1;3 2 3 2 2
2 4 0 4 3;3 1 3 1 2;4 2 1 2 3;2 2 2 3 2;4 0 0 1 2
icgr-00706
border+flip_h
composed
Paint the outer border of the grid a fixed colour. Then, Mirror the grid left-to-right.
6
4
3
4
[ { "input": "4 2 4;3 5 4;1 0 4;3 0 3", "output": "0 0 0;0 5 0;0 0 0;0 0 0" }, { "input": "5 4 4;4 1 4;1 0 5;1 1 3", "output": "0 0 0;0 1 0;0 0 0;0 0 0" }, { "input": "5 3 2;4 5 2;2 4 2;4 2 2", "output": "0 0 0;0 5 0;0 4 0;0 0 0" }, { "input": "2 1 3;5 2 1;3 5 4;2 0 2", "ou...
5 5 3;1 4 2;0 1 5;1 3 1
0 0 0;0 4 0;0 1 0;0 0 0
icgr-00449
flip_h
atomic
Mirror the grid left-to-right.
4
4
5
3
[ { "input": "2 1 1 2 1;0 0 1 3 2;0 0 1 3 1;0 2 3 1 2", "output": "1 2 1 1 2;2 3 1 0 0;1 3 1 0 0;2 1 3 2 0" }, { "input": "0 2 2 1 0;2 0 0 2 2;1 3 3 1 1;0 3 2 1 1", "output": "0 1 2 2 0;2 2 0 0 2;1 1 3 3 1;1 1 2 3 0" }, { "input": "3 3 1 2 1;0 3 3 3 1;0 2 2 3 2;3 2 1 1 3", "output": "1...
1 0 2 1 2;2 0 3 1 0;0 3 1 1 1;2 1 2 3 0
2 1 2 0 1;0 1 3 0 2;1 1 1 3 0;0 3 2 1 2
icgr-00933
border+flip_v
composed
Paint the outer border of the grid a fixed colour. Then, Mirror the grid top-to-bottom.
4
3
4
2
[ { "input": "3 1 1 3;0 0 2 3;2 3 0 2", "output": "3 3 3 3;3 0 2 3;3 3 3 3" }, { "input": "2 1 0 2;3 1 0 1;3 0 2 2", "output": "3 3 3 3;3 1 0 3;3 3 3 3" } ]
3 0 1 2;1 2 1 3;3 1 3 3
3 3 3 3;3 2 1 3;3 3 3 3
icgr-00134
shift_rows+color_swap
composed
Cyclically shift every row right by a fixed amount. Then, Swap two colours everywhere they appear.
6
5
3
2
[ { "input": "2 3 1;2 4 0;1 2 0;1 2 4;3 2 4", "output": "1 2 3;0 2 4;0 1 2;4 1 2;4 3 2" }, { "input": "0 4 2;4 1 5;2 3 2;5 1 3;3 4 0", "output": "2 0 4;5 4 1;2 2 3;3 5 1;0 3 4" } ]
3 4 3;2 1 1;2 3 4;4 0 5;5 2 2
3 3 4;1 2 1;4 2 3;5 4 0;2 5 2
icgr-00616
transpose
atomic
Swap rows and columns (transpose).
6
5
4
2
[ { "input": "3 4 5 5;3 2 4 4;0 4 3 0;4 1 2 4;4 3 3 0", "output": "3 3 0 4 4;4 2 4 1 3;5 4 3 2 3;5 4 0 4 0" }, { "input": "0 4 1 1;5 5 3 1;2 3 0 1;2 2 0 2;2 0 2 1", "output": "0 5 2 2 2;4 5 3 2 0;1 3 0 0 2;1 1 1 2 1" } ]
3 4 2 5;3 3 4 1;1 4 1 4;1 0 2 1;2 3 3 2
3 3 1 1 2;4 3 4 0 3;2 4 1 2 3;5 1 4 1 2
icgr-00333
border
atomic
Paint the outer border of the grid a fixed colour.
4
4
5
3
[ { "input": "3 0 0 3 2;0 3 0 3 0;0 1 0 2 0;0 1 0 2 2", "output": "1 1 1 1 1;1 3 0 3 1;1 1 0 2 1;1 1 1 1 1" }, { "input": "0 1 1 0 1;3 0 0 2 2;1 1 3 0 1;3 2 0 0 1", "output": "1 1 1 1 1;1 0 0 2 1;1 1 3 0 1;1 1 1 1 1" }, { "input": "2 1 2 0 1;3 3 0 1 2;2 1 3 3 3;2 2 1 0 0", "output": "1...
2 3 3 3 1;1 2 1 2 2;3 2 0 1 3;2 1 0 3 0
1 1 1 1 1;1 2 1 2 1;1 2 0 1 1;1 1 1 1 1
icgr-00843
border
atomic
Paint the outer border of the grid a fixed colour.
6
4
5
2
[ { "input": "3 0 3 0 4;4 0 4 3 4;5 5 2 1 3;1 3 4 3 3", "output": "4 4 4 4 4;4 0 4 3 4;4 5 2 1 4;4 4 4 4 4" }, { "input": "1 2 5 3 2;5 2 1 0 2;5 4 1 5 3;2 3 4 1 5", "output": "4 4 4 4 4;4 2 1 0 4;4 4 1 5 4;4 4 4 4 4" } ]
1 3 4 4 0;5 0 3 1 4;4 2 4 3 2;4 0 1 1 5
4 4 4 4 4;4 0 3 1 4;4 2 4 3 4;4 4 4 4 4
icgr-00397
color_swap+flip_h
composed
Swap two colours everywhere they appear. Then, Mirror the grid left-to-right.
5
3
4
4
[ { "input": "4 0 2 0;3 1 3 3;3 3 3 0", "output": "0 2 0 3;4 4 1 4;0 4 4 4" }, { "input": "2 4 3 2;3 3 1 3;4 3 4 4", "output": "2 4 3 2;4 1 4 4;3 3 4 3" }, { "input": "4 1 0 2;0 0 4 4;3 4 3 4", "output": "2 0 1 3;3 3 0 0;3 4 3 4" }, { "input": "3 3 3 4;3 0 2 1;0 2 0 1", "ou...
1 4 4 3;3 4 4 1;2 4 2 2
4 3 3 1;1 3 3 4;2 2 3 2
icgr-00666
rotate90
atomic
Rotate the grid 90 degrees clockwise.
5
3
3
2
[ { "input": "3 2 2;1 4 4;2 4 4", "output": "2 1 3;4 4 2;4 4 2" }, { "input": "1 1 3;0 1 1;1 0 3", "output": "1 0 1;0 1 1;3 1 3" } ]
2 1 4;0 3 3;2 3 1
2 0 2;3 3 1;1 3 4
icgr-00206
flip_v
atomic
Mirror the grid top-to-bottom.
5
3
3
2
[ { "input": "4 3 3;2 2 1;1 3 3", "output": "1 3 3;2 2 1;4 3 3" }, { "input": "1 4 4;4 0 3;0 1 4", "output": "0 1 4;4 0 3;1 4 4" } ]
3 4 2;3 1 1;3 0 1
3 0 1;3 1 1;3 4 2
icgr-00995
color_swap+flip_h
composed
Swap two colours everywhere they appear. Then, Mirror the grid left-to-right.
4
5
5
2
[ { "input": "1 1 0 0 2;2 3 0 1 1;3 3 1 1 3;2 2 2 2 0;0 1 1 0 0", "output": "2 1 1 0 0;0 0 1 3 2;3 0 0 3 3;1 2 2 2 2;1 1 0 0 1" }, { "input": "2 1 1 0 2;1 0 3 1 0;0 3 3 3 1;3 1 0 1 2;1 0 2 3 1", "output": "2 1 0 0 2;1 0 3 1 0;0 3 3 3 1;2 0 1 0 3;0 3 2 1 0" } ]
1 1 0 3 0;3 3 2 1 1;1 1 0 1 0;2 3 3 0 0;0 1 0 2 2
1 3 1 0 0;0 0 2 3 3;1 0 1 0 0;1 1 3 3 2;2 2 1 0 1
icgr-00169
shift_rows
atomic
Cyclically shift every row right by a fixed amount.
6
5
3
2
[ { "input": "2 2 4;5 0 0;3 2 3;0 0 3;5 0 2", "output": "2 4 2;0 0 5;2 3 3;0 3 0;0 2 5" }, { "input": "3 2 1;5 4 5;4 0 3;1 3 5;4 2 4", "output": "2 1 3;4 5 5;0 3 4;3 5 1;2 4 4" } ]
5 4 2;4 1 4;0 0 1;2 2 0;3 0 4
4 2 5;1 4 4;0 1 0;2 0 2;0 4 3
icgr-00378
transpose
atomic
Swap rows and columns (transpose).
6
4
4
2
[ { "input": "2 4 3 4;0 0 5 2;1 1 3 5;5 4 4 2", "output": "2 0 1 5;4 0 1 4;3 5 3 4;4 2 5 2" }, { "input": "5 0 2 4;2 2 3 4;0 0 5 4;0 4 3 5", "output": "5 2 0 0;0 2 0 4;2 3 5 3;4 4 4 5" } ]
0 1 2 2;4 0 3 2;1 1 1 2;5 4 5 3
0 4 1 5;1 0 1 4;2 3 1 5;2 2 2 3
icgr-00951
shift_rows+add_mod
composed
Cyclically shift every row right by a fixed amount. Then, Add a fixed constant to every cell, modulo the colour count.
4
3
5
3
[ { "input": "3 3 0 0 0;0 3 0 3 2;2 2 3 3 1", "output": "1 1 0 0 1;0 3 1 0 1;0 2 3 3 0" }, { "input": "1 2 3 1 0;1 1 0 2 3;2 1 3 3 3", "output": "2 1 2 3 0;3 0 2 2 1;0 0 3 2 0" }, { "input": "0 1 0 1 3;1 2 3 1 3;3 2 1 2 1", "output": "2 0 1 2 1;2 0 2 3 0;3 2 0 3 2" } ]
3 0 2 2 1;1 0 3 2 0;3 2 0 1 3
3 2 0 1 3;3 1 2 1 0;2 0 0 3 1
icgr-00568
shift_rows+flip_h
composed
Cyclically shift every row right by a fixed amount. Then, Mirror the grid left-to-right.
6
4
5
3
[ { "input": "2 0 1 5 3;2 1 0 1 5;1 0 1 4 1;1 0 1 2 4", "output": "1 0 2 3 5;0 1 2 5 1;1 0 1 1 4;1 0 1 4 2" }, { "input": "1 5 5 4 3;4 3 0 5 0;1 4 0 1 2;1 4 4 5 1", "output": "5 5 1 3 4;0 3 4 0 5;0 4 1 2 1;4 4 1 1 5" }, { "input": "3 1 5 3 1;2 5 5 3 4;0 2 0 4 1;0 3 1 4 3", "output": "5...
1 1 2 0 3;4 0 3 4 1;3 2 4 3 4;0 2 2 5 5
2 1 1 3 0;3 0 4 1 4;4 2 3 4 3;2 2 0 5 5
icgr-00138
shift_rows+flip_h
composed
Cyclically shift every row right by a fixed amount. Then, Mirror the grid left-to-right.
5
5
4
4
[ { "input": "1 2 2 4;2 0 3 3;1 3 0 2;3 4 4 2;2 2 0 4", "output": "2 2 1 4;3 0 2 3;0 3 1 2;4 4 3 2;0 2 2 4" }, { "input": "0 2 1 1;0 2 4 1;3 2 0 4;2 1 3 3;0 3 4 1", "output": "1 2 0 1;4 2 0 1;0 2 3 4;3 1 2 3;4 3 0 1" }, { "input": "0 4 4 0;0 0 3 1;2 4 2 4;3 1 4 4;3 2 0 3", "output": "4...
0 4 2 1;1 4 0 0;0 3 1 3;0 0 2 4;3 1 4 3
2 4 0 1;0 4 1 0;1 3 0 3;2 0 0 4;4 1 3 3
icgr-00941
flip_v+color_swap
composed
Mirror the grid top-to-bottom. Then, Swap two colours everywhere they appear.
4
3
4
3
[ { "input": "3 2 0 1;2 3 0 0;2 3 1 1", "output": "2 0 1 1;2 0 3 3;0 2 3 1" }, { "input": "0 0 0 0;2 3 3 0;0 2 0 1", "output": "3 2 3 1;2 0 0 3;3 3 3 3" }, { "input": "2 3 0 0;2 1 3 3;2 1 0 3", "output": "2 1 3 0;2 1 0 0;2 0 3 3" } ]
2 0 0 2;2 1 2 2;0 2 0 0
3 2 3 3;2 1 2 2;2 3 3 2
icgr-00344
transpose
atomic
Swap rows and columns (transpose).
4
4
3
2
[ { "input": "2 3 3;1 3 3;0 2 1;0 2 0", "output": "2 1 0 0;3 3 2 2;3 3 1 0" }, { "input": "3 2 1;0 3 1;1 2 3;2 3 0", "output": "3 0 1 2;2 3 2 3;1 1 3 0" } ]
1 2 0;0 1 3;3 2 2;0 0 3
1 0 3 0;2 1 2 0;0 3 2 3
icgr-00388
shift_rows
atomic
Cyclically shift every row right by a fixed amount.
4
4
3
3
[ { "input": "1 3 0;0 2 3;2 0 3;3 1 2", "output": "3 0 1;2 3 0;0 3 2;1 2 3" }, { "input": "0 1 3;2 1 3;1 2 3;0 0 1", "output": "1 3 0;1 3 2;2 3 1;0 1 0" }, { "input": "3 0 2;0 3 1;2 2 0;0 2 0", "output": "0 2 3;3 1 0;2 0 2;2 0 0" } ]
1 2 3;2 0 3;1 2 2;0 0 0
2 3 1;0 3 2;2 2 1;0 0 0
icgr-00200
border
atomic
Paint the outer border of the grid a fixed colour.
5
4
5
3
[ { "input": "0 2 0 2 4;2 0 1 3 4;0 4 3 3 0;0 1 3 4 4", "output": "2 2 2 2 2;2 0 1 3 2;2 4 3 3 2;2 2 2 2 2" }, { "input": "1 0 1 0 4;3 3 2 4 4;2 2 3 1 2;4 1 3 1 4", "output": "2 2 2 2 2;2 3 2 4 2;2 2 3 1 2;2 2 2 2 2" }, { "input": "4 0 1 2 1;4 3 4 3 1;0 2 0 4 3;2 1 1 2 4", "output": "2...
1 2 0 1 3;0 0 4 4 3;0 4 2 4 4;2 2 3 1 4
2 2 2 2 2;2 0 4 4 2;2 4 2 4 2;2 2 2 2 2
icgr-00640
shift_rows+color_swap
composed
Cyclically shift every row right by a fixed amount. Then, Swap two colours everywhere they appear.
5
5
5
2
[ { "input": "3 3 1 0 0;2 3 4 4 2;4 1 1 0 3;4 0 4 2 0;1 2 4 2 0", "output": "0 3 3 4 0;2 2 3 1 1;3 1 4 4 0;0 1 0 1 2;0 4 2 1 2" }, { "input": "3 0 2 0 1;2 4 4 2 0;3 0 4 2 1;2 2 2 1 3;1 4 1 2 4", "output": "4 3 0 2 0;0 2 1 1 2;4 3 0 1 2;3 2 2 2 4;1 4 1 4 2" } ]
2 2 2 0 2;0 3 3 4 2;2 0 1 2 4;1 3 2 1 1;4 4 2 3 2
2 2 2 2 0;2 0 3 3 1;1 2 0 4 2;4 4 3 2 4;2 1 1 2 3
icgr-00665
tile_h
atomic
Concatenate the grid with a copy of itself, side by side.
4
5
5
2
[ { "input": "2 0 0 3 2;3 3 2 3 0;2 2 3 2 3;3 3 3 1 2;0 2 0 0 0", "output": "2 0 0 3 2 2 0 0 3 2;3 3 2 3 0 3 3 2 3 0;2 2 3 2 3 2 2 3 2 3;3 3 3 1 2 3 3 3 1 2;0 2 0 0 0 0 2 0 0 0" }, { "input": "3 0 2 2 0;0 3 2 0 1;3 2 2 3 0;0 3 2 1 1;0 3 1 3 1", "output": "3 0 2 2 0 3 0 2 2 0;0 3 2 0 1 0 3 2 0 1;3 ...
3 2 2 2 1;1 2 0 0 0;0 2 3 0 2;1 0 3 1 1;1 2 3 3 2
3 2 2 2 1 3 2 2 2 1;1 2 0 0 0 1 2 0 0 0;0 2 3 0 2 0 2 3 0 2;1 0 3 1 1 1 0 3 1 1;1 2 3 3 2 1 2 3 3 2
icgr-00963
rotate90
atomic
Rotate the grid 90 degrees clockwise.
5
4
3
3
[ { "input": "0 3 2;3 0 4;3 4 4;1 2 1", "output": "1 3 3 0;2 4 0 3;1 4 4 2" }, { "input": "2 2 0;1 3 1;2 1 4;2 0 3", "output": "2 2 1 2;0 1 3 2;3 4 1 0" }, { "input": "1 2 1;2 1 0;3 2 4;2 2 1", "output": "2 3 2 1;2 2 1 2;1 4 0 1" } ]
3 2 0;4 3 0;3 3 2;4 4 1
4 3 4 3;4 3 3 2;1 2 0 0
icgr-00107
flip_v+border
composed
Mirror the grid top-to-bottom. Then, Paint the outer border of the grid a fixed colour.
5
5
3
4
[ { "input": "3 4 2;2 4 3;4 1 4;1 4 1;0 0 3", "output": "2 2 2;2 4 2;2 1 2;2 4 2;2 2 2" }, { "input": "2 3 2;1 1 3;3 2 1;3 4 3;1 3 1", "output": "2 2 2;2 4 2;2 2 2;2 1 2;2 2 2" }, { "input": "2 4 2;3 2 2;1 3 2;2 1 2;0 4 1", "output": "2 2 2;2 1 2;2 3 2;2 2 2;2 2 2" }, { "input"...
0 1 2;1 1 3;3 0 4;3 1 1;2 2 3
2 2 2;2 1 2;2 0 2;2 1 2;2 2 2
icgr-00818
add_mod
atomic
Add a fixed constant to every cell, modulo the colour count.
5
4
3
2
[ { "input": "0 2 1;2 2 3;0 4 4;0 2 0", "output": "2 4 3;4 4 0;2 1 1;2 4 2" }, { "input": "0 3 4;0 0 3;4 1 2;2 2 0", "output": "2 0 1;2 2 0;1 3 4;4 4 2" } ]
3 0 1;0 1 0;2 4 1;2 2 0
0 2 3;2 3 2;4 1 3;4 4 2
icgr-00497
border+add_mod
composed
Paint the outer border of the grid a fixed colour. Then, Add a fixed constant to every cell, modulo the colour count.
4
3
4
4
[ { "input": "0 0 3 2;3 1 2 3;3 1 1 1", "output": "2 2 2 2;2 2 3 2;2 2 2 2" }, { "input": "2 2 0 2;3 3 3 3;1 1 3 2", "output": "2 2 2 2;2 0 0 2;2 2 2 2" }, { "input": "3 1 0 0;0 3 2 2;0 3 2 3", "output": "2 2 2 2;2 0 3 2;2 2 2 2" }, { "input": "0 2 1 1;3 0 3 3;3 3 3 0", "ou...
2 0 3 2;1 0 1 3;3 1 0 3
2 2 2 2;2 1 2 2;2 2 2 2
icgr-00545
rotate90
atomic
Rotate the grid 90 degrees clockwise.
5
4
4
2
[ { "input": "2 3 2 3;1 2 0 0;0 0 0 0;4 3 3 1", "output": "4 0 1 2;3 0 2 3;3 0 0 2;1 0 0 3" }, { "input": "0 2 0 0;4 4 3 2;3 1 4 0;2 3 1 2", "output": "2 3 4 0;3 1 4 2;1 4 3 0;2 0 2 0" } ]
4 4 2 4;2 4 1 2;2 2 0 2;3 1 4 4
3 2 2 4;1 2 4 4;4 0 1 2;4 2 2 4
icgr-00973
rotate90
atomic
Rotate the grid 90 degrees clockwise.
6
3
5
2
[ { "input": "4 2 5 2 1;4 4 1 4 4;0 5 5 3 1", "output": "0 4 4;5 4 2;5 1 5;3 4 2;1 4 1" }, { "input": "3 4 2 0 5;1 2 3 0 2;5 2 2 1 4", "output": "5 1 3;2 2 4;2 3 2;1 0 0;4 2 5" } ]
0 4 3 3 0;0 0 2 5 5;1 1 0 1 5
1 0 0;1 0 4;0 2 3;1 5 3;5 5 0
icgr-00798
flip_h+flip_v
composed
Mirror the grid left-to-right. Then, Mirror the grid top-to-bottom.
6
4
5
2
[ { "input": "1 1 1 2 0;2 4 5 1 1;1 3 3 1 0;2 4 3 5 3", "output": "3 5 3 4 2;0 1 3 3 1;1 1 5 4 2;0 2 1 1 1" }, { "input": "4 0 4 3 5;5 0 1 5 4;3 5 5 3 1;1 4 1 2 2", "output": "2 2 1 4 1;1 3 5 5 3;4 5 1 0 5;5 3 4 0 4" } ]
2 0 1 4 1;3 4 4 0 2;1 4 5 0 3;5 2 4 2 1
1 2 4 2 5;3 0 5 4 1;2 0 4 4 3;1 4 1 0 2
icgr-00121
add_mod+shift_rows
composed
Add a fixed constant to every cell, modulo the colour count. Then, Cyclically shift every row right by a fixed amount.
5
4
3
2
[ { "input": "1 0 4;4 1 1;2 0 3;1 2 2", "output": "4 3 0;0 0 3;4 2 1;1 1 0" }, { "input": "4 0 0;0 0 0;4 1 1;2 0 1", "output": "4 4 3;4 4 4;0 0 3;4 0 1" } ]
4 3 4;4 1 0;4 3 0;3 1 0
2 3 3;0 4 3;2 4 3;0 4 2
icgr-00805
flip_h+add_mod
composed
Mirror the grid left-to-right. Then, Add a fixed constant to every cell, modulo the colour count.
4
4
5
2
[ { "input": "1 3 1 3 1;0 3 0 0 2;2 2 0 1 1;2 0 0 1 0", "output": "0 2 0 2 0;1 3 3 2 3;0 0 3 1 1;3 0 3 3 1" }, { "input": "1 1 3 3 3;3 3 3 2 0;3 1 2 2 3;1 2 3 0 2", "output": "2 2 2 0 0;3 1 2 2 2;2 1 1 0 2;1 3 2 1 0" } ]
0 1 0 3 3;2 3 1 3 2;1 3 0 0 3;3 0 3 1 2
2 2 3 0 3;1 2 0 2 1;2 3 3 2 0;1 0 2 3 2
icgr-00130
transpose
atomic
Swap rows and columns (transpose).
5
5
4
2
[ { "input": "1 3 2 2;2 4 2 4;1 0 2 2;1 0 1 0;0 4 2 0", "output": "1 2 1 1 0;3 4 0 0 4;2 2 2 1 2;2 4 2 0 0" }, { "input": "4 0 2 1;2 4 3 1;3 0 4 0;1 0 0 3;2 2 0 1", "output": "4 2 3 1 2;0 4 0 0 2;2 3 4 0 0;1 1 0 3 1" } ]
2 3 3 3;2 0 2 2;2 3 3 4;4 3 1 3;0 4 0 4
2 2 2 4 0;3 0 3 3 4;3 2 3 1 0;3 2 4 3 4
icgr-00180
shift_rows+flip_v
composed
Cyclically shift every row right by a fixed amount. Then, Mirror the grid top-to-bottom.
4
3
3
2
[ { "input": "3 0 3;1 1 0;2 3 3", "output": "3 2 3;0 1 1;3 3 0" }, { "input": "2 1 0;2 3 0;1 2 2", "output": "2 1 2;0 2 3;0 2 1" } ]
1 1 0;2 2 1;2 3 2
2 2 3;1 2 2;0 1 1
icgr-00135
rotate90
atomic
Rotate the grid 90 degrees clockwise.
4
3
4
3
[ { "input": "1 1 3 3;3 3 0 2;0 1 0 2", "output": "0 3 1;1 3 1;0 0 3;2 2 3" }, { "input": "1 2 3 2;1 3 0 3;3 1 2 3", "output": "3 1 1;1 3 2;2 0 3;3 3 2" }, { "input": "3 3 3 2;1 3 2 2;2 0 2 0", "output": "2 1 3;0 3 3;2 2 3;0 2 2" } ]
2 3 1 3;0 3 2 3;3 0 3 1
3 0 2;0 3 3;3 2 1;1 3 3
icgr-00085
flip_h
atomic
Mirror the grid left-to-right.
4
4
5
2
[ { "input": "0 0 3 1 3;0 3 1 2 3;2 0 0 0 1;2 0 3 2 0", "output": "3 1 3 0 0;3 2 1 3 0;1 0 0 0 2;0 2 3 0 2" }, { "input": "3 3 3 0 1;2 2 0 0 3;0 1 2 3 0;1 0 1 0 3", "output": "1 0 3 3 3;3 0 0 2 2;0 3 2 1 0;3 0 1 0 1" } ]
2 0 1 2 0;0 0 1 2 2;1 2 3 0 2;0 2 0 2 3
0 2 1 0 2;2 2 1 0 0;2 0 3 2 1;3 2 0 2 0
icgr-00291
flip_v+color_swap
composed
Mirror the grid top-to-bottom. Then, Swap two colours everywhere they appear.
6
5
5
4
[ { "input": "5 1 2 1 1;5 0 2 4 3;1 3 0 4 2;2 2 5 4 5;2 5 0 3 2", "output": "1 5 0 3 1;1 1 5 4 5;2 3 0 4 1;5 0 1 4 3;5 2 1 2 2" }, { "input": "4 3 4 4 2;4 5 5 1 0;1 5 0 4 1;2 4 0 4 3;0 3 5 5 0", "output": "0 3 5 5 0;1 4 0 4 3;2 5 0 4 2;4 5 5 2 0;4 3 4 4 1" }, { "input": "1 3 5 2 4;1 4 3 5 ...
1 0 0 4 5;5 4 5 5 5;0 2 2 4 1;0 5 4 2 2;1 5 2 1 3
2 5 1 2 3;0 5 4 1 1;0 1 1 4 2;5 4 5 5 5;2 0 0 4 5
icgr-00752
border+color_swap
composed
Paint the outer border of the grid a fixed colour. Then, Swap two colours everywhere they appear.
4
5
4
2
[ { "input": "1 1 2 2;1 3 1 3;1 2 1 3;1 2 1 0;3 3 3 2", "output": "3 3 3 3;3 3 1 3;3 0 1 3;3 0 1 3;3 3 3 3" }, { "input": "0 0 3 0;2 1 2 1;3 1 1 1;1 2 2 0;1 2 3 3", "output": "3 3 3 3;3 1 0 3;3 1 1 3;3 0 0 3;3 3 3 3" } ]
2 1 3 2;2 1 0 3;0 1 1 0;3 3 0 2;3 0 2 1
3 3 3 3;3 1 2 3;3 1 1 3;3 3 2 3;3 3 3 3
icgr-00088
shift_rows+border
composed
Cyclically shift every row right by a fixed amount. Then, Paint the outer border of the grid a fixed colour.
6
3
3
3
[ { "input": "4 1 5;2 2 3;5 4 3", "output": "1 1 1;1 2 1;1 1 1" }, { "input": "1 0 5;3 5 3;5 1 4", "output": "1 1 1;1 3 1;1 1 1" }, { "input": "5 3 4;0 0 4;0 1 5", "output": "1 1 1;1 0 1;1 1 1" } ]
5 2 2;4 5 2;4 2 0
1 1 1;1 4 1;1 1 1
icgr-00042
rotate90
atomic
Rotate the grid 90 degrees clockwise.
4
4
5
2
[ { "input": "2 2 0 3 1;2 2 2 0 1;1 2 2 2 2;2 0 3 0 0", "output": "2 1 2 2;0 2 2 2;3 2 2 0;0 2 0 3;0 2 1 1" }, { "input": "3 1 0 2 0;1 2 1 0 1;0 0 0 0 3;0 3 1 0 1", "output": "0 0 1 3;3 0 2 1;1 0 1 0;0 0 0 2;1 3 1 0" } ]
2 3 3 0 1;2 3 0 1 1;3 3 2 0 1;1 3 3 1 1
1 3 2 2;3 3 3 3;3 2 0 3;1 0 1 0;1 1 1 1
icgr-00379
flip_h+shift_rows
composed
Mirror the grid left-to-right. Then, Cyclically shift every row right by a fixed amount.
5
5
4
2
[ { "input": "0 2 4 2;4 4 0 0;4 2 3 0;4 1 0 1;1 2 2 3", "output": "0 2 4 2;4 0 0 4;4 0 3 2;4 1 0 1;1 3 2 2" }, { "input": "4 1 0 1;2 2 2 2;3 1 2 1;4 4 1 2;4 4 1 0", "output": "4 1 0 1;2 2 2 2;3 1 2 1;4 2 1 4;4 0 1 4" } ]
0 0 1 2;0 3 2 1;1 0 3 0;3 2 0 3;3 1 3 4
0 2 1 0;0 1 2 3;1 0 3 0;3 3 0 2;3 4 3 1
icgr-00598
transpose
atomic
Swap rows and columns (transpose).
4
4
3
2
[ { "input": "0 3 0;3 3 0;1 2 0;1 1 3", "output": "0 3 1 1;3 3 2 1;0 0 0 3" }, { "input": "0 2 3;2 2 2;0 1 2;3 2 1", "output": "0 2 0 3;2 2 1 2;3 2 2 1" } ]
1 1 2;1 3 1;0 1 2;0 0 3
1 1 0 0;1 3 1 0;2 1 2 3
icgr-00776
flip_h+add_mod
composed
Mirror the grid left-to-right. Then, Add a fixed constant to every cell, modulo the colour count.
6
3
3
3
[ { "input": "2 1 1;2 4 3;5 4 5", "output": "0 0 1;2 3 1;4 3 4" }, { "input": "5 4 3;4 2 4;1 0 0", "output": "2 3 4;3 1 3;5 5 0" }, { "input": "5 2 0;3 2 0;4 3 2", "output": "5 1 4;5 1 2;1 2 3" } ]
0 2 2;4 3 1;0 1 4
1 1 5;0 2 3;3 0 5
icgr-00233
add_mod
atomic
Add a fixed constant to every cell, modulo the colour count.
6
3
4
3
[ { "input": "3 3 2 3;0 0 4 3;5 3 5 5", "output": "4 4 3 4;1 1 5 4;0 4 0 0" }, { "input": "3 4 2 3;1 2 0 5;5 1 0 4", "output": "4 5 3 4;2 3 1 0;0 2 1 5" }, { "input": "0 3 5 0;1 5 1 1;3 3 5 2", "output": "1 4 0 1;2 0 2 2;4 4 0 3" } ]
2 4 3 3;1 2 1 2;0 5 2 0
3 5 4 4;2 3 2 3;1 0 3 1
icgr-00332
color_swap
atomic
Swap two colours everywhere they appear.
4
3
5
2
[ { "input": "1 1 3 3 1;0 0 0 3 2;0 2 0 0 2", "output": "1 1 3 3 1;2 2 2 3 0;2 0 2 2 0" }, { "input": "3 3 2 0 3;3 1 1 0 0;1 1 3 3 2", "output": "3 3 0 2 3;3 1 1 2 2;1 1 3 3 0" } ]
3 0 0 1 3;2 1 2 2 3;3 1 0 1 3
3 2 2 1 3;0 1 0 0 3;3 1 2 1 3
icgr-00853
max_pool2
atomic
Replace each non-overlapping 2x2 block with its maximum value.
6
4
4
3
[ { "input": "2 3 2 3;3 0 5 0;2 1 2 4;5 5 3 0", "output": "3 5;5 4" }, { "input": "5 3 5 5;1 2 3 2;1 2 4 1;0 2 5 5", "output": "5 5;2 5" }, { "input": "2 0 2 3;5 3 0 4;0 3 0 3;0 5 3 2", "output": "5 4;5 3" } ]
0 3 5 1;4 1 4 2;2 1 5 4;3 1 2 2
4 5;3 5
icgr-00276
border
atomic
Paint the outer border of the grid a fixed colour.
6
5
5
4
[ { "input": "0 4 2 4 2;3 1 5 2 1;0 5 3 0 4;2 1 0 3 1;2 3 0 5 4", "output": "5 5 5 5 5;5 1 5 2 5;5 5 3 0 5;5 1 0 3 5;5 5 5 5 5" }, { "input": "3 5 2 0 1;5 4 3 4 3;4 0 3 4 4;5 0 1 5 2;3 0 3 3 3", "output": "5 5 5 5 5;5 4 3 4 5;5 0 3 4 5;5 0 1 5 5;5 5 5 5 5" }, { "input": "3 1 5 0 5;1 0 3 4 ...
4 4 4 3 5;2 5 5 1 5;2 5 0 0 5;2 5 5 3 2;5 0 4 3 4
5 5 5 5 5;5 5 5 1 5;5 5 0 0 5;5 5 5 3 5;5 5 5 5 5
icgr-00699
rotate90
atomic
Rotate the grid 90 degrees clockwise.
6
4
3
2
[ { "input": "5 1 0;4 3 0;3 0 1;1 2 5", "output": "1 3 4 5;2 0 3 1;5 1 0 0" }, { "input": "3 1 5;0 2 4;1 0 3;4 1 0", "output": "4 1 0 3;1 0 2 1;0 3 4 5" } ]
0 2 4;3 5 4;2 5 4;3 0 3
3 2 3 0;0 5 5 2;3 4 4 4
icgr-00894
add_mod+flip_v
composed
Add a fixed constant to every cell, modulo the colour count. Then, Mirror the grid top-to-bottom.
6
5
4
4
[ { "input": "1 4 4 3;3 1 5 1;2 3 2 0;5 0 2 5;0 5 3 3", "output": "3 2 0 0;2 3 5 2;5 0 5 3;0 4 2 4;4 1 1 0" }, { "input": "1 5 2 1;2 1 1 5;4 4 4 1;3 4 5 0;2 5 3 0", "output": "5 2 0 3;0 1 2 3;1 1 1 4;5 4 4 2;4 2 5 4" }, { "input": "2 5 1 1;3 2 2 5;5 2 1 2;5 4 3 4;2 4 4 3", "output": "5...
1 2 5 2;3 1 3 3;1 3 4 1;4 1 4 1;2 0 3 5
5 3 0 2;1 4 1 4;4 0 1 4;0 4 0 0;4 5 2 5
icgr-00812
tile_h
atomic
Concatenate the grid with a copy of itself, side by side.
6
3
4
3
[ { "input": "4 1 0 4;3 4 1 3;2 2 4 0", "output": "4 1 0 4 4 1 0 4;3 4 1 3 3 4 1 3;2 2 4 0 2 2 4 0" }, { "input": "0 4 2 1;2 0 3 4;4 5 4 2", "output": "0 4 2 1 0 4 2 1;2 0 3 4 2 0 3 4;4 5 4 2 4 5 4 2" }, { "input": "2 4 4 2;4 3 3 5;5 5 1 2", "output": "2 4 4 2 2 4 4 2;4 3 3 5 4 3 3 5;5...
5 4 0 2;5 3 2 5;4 4 0 5
5 4 0 2 5 4 0 2;5 3 2 5 5 3 2 5;4 4 0 5 4 4 0 5
icgr-00728
color_swap+flip_h
composed
Swap two colours everywhere they appear. Then, Mirror the grid left-to-right.
5
4
3
4
[ { "input": "4 2 3;4 0 2;1 4 0;0 1 0", "output": "3 2 4;2 0 4;0 4 1;0 1 0" }, { "input": "2 1 2;0 3 4;1 2 0;2 0 4", "output": "2 1 2;4 3 0;0 2 1;4 0 2" }, { "input": "3 0 0;4 0 0;1 1 4;0 3 2", "output": "0 0 3;0 0 4;4 1 1;2 3 0" }, { "input": "0 4 0;0 3 3;3 3 4;2 4 4", "ou...
1 4 2;2 2 3;0 3 4;1 4 0
2 4 1;3 2 2;4 3 0;0 4 1
icgr-00971
border+color_swap
composed
Paint the outer border of the grid a fixed colour. Then, Swap two colours everywhere they appear.
5
3
4
4
[ { "input": "2 3 1 0;3 4 3 2;0 3 4 0", "output": "3 3 3 3;3 0 3 3;3 3 3 3" }, { "input": "2 4 4 4;0 1 1 3;1 1 4 2", "output": "3 3 3 3;3 1 1 3;3 3 3 3" }, { "input": "4 3 0 0;1 2 2 0;3 2 3 3", "output": "3 3 3 3;3 2 2 3;3 3 3 3" }, { "input": "3 3 2 3;2 0 3 0;1 3 4 0", "ou...
2 3 4 1;4 2 4 4;2 0 3 3
3 3 3 3;3 2 0 3;3 3 3 3
icgr-00939
color_swap+border
composed
Swap two colours everywhere they appear. Then, Paint the outer border of the grid a fixed colour.
5
5
4
2
[ { "input": "2 1 4 1;1 2 1 1;1 3 1 2;0 1 3 3;3 4 4 4", "output": "0 0 0 0;0 2 1 0;0 3 1 0;0 1 3 0;0 0 0 0" }, { "input": "4 2 2 4;1 0 3 0;1 2 4 4;0 0 2 2;3 1 1 0", "output": "0 0 0 0;0 4 3 0;0 2 0 0;0 4 2 0;0 0 0 0" } ]
3 1 3 1;2 2 1 1;1 1 0 4;1 1 3 3;0 3 2 0
0 0 0 0;0 2 1 0;0 1 4 0;0 1 3 0;0 0 0 0
icgr-00528
border
atomic
Paint the outer border of the grid a fixed colour.
4
4
3
4
[ { "input": "2 0 0;0 3 2;0 1 0;3 2 0", "output": "3 3 3;3 3 3;3 1 3;3 3 3" }, { "input": "0 3 0;1 1 2;2 1 1;3 3 1", "output": "3 3 3;3 1 3;3 1 3;3 3 3" }, { "input": "1 3 3;3 3 0;0 3 0;1 3 0", "output": "3 3 3;3 3 3;3 3 3;3 3 3" }, { "input": "2 0 0;1 2 2;0 3 1;1 1 3", "ou...
2 3 3;2 3 1;2 0 3;3 1 0
3 3 3;3 3 3;3 0 3;3 3 3
icgr-00221
border+flip_v
composed
Paint the outer border of the grid a fixed colour. Then, Mirror the grid top-to-bottom.
5
5
5
2
[ { "input": "3 4 0 1 1;3 1 3 4 0;0 2 0 1 4;1 0 4 4 1;4 0 1 2 2", "output": "1 1 1 1 1;1 0 4 4 1;1 2 0 1 1;1 1 3 4 1;1 1 1 1 1" }, { "input": "1 0 1 4 4;2 4 2 0 4;2 3 1 1 1;2 1 2 1 4;3 2 0 0 2", "output": "1 1 1 1 1;1 1 2 1 1;1 3 1 1 1;1 4 2 0 1;1 1 1 1 1" } ]
2 0 4 0 3;2 3 1 3 1;1 2 0 3 2;4 3 4 0 4;2 1 4 1 0
1 1 1 1 1;1 3 4 0 1;1 2 0 3 1;1 3 1 3 1;1 1 1 1 1
icgr-00925
color_swap+shift_rows
composed
Swap two colours everywhere they appear. Then, Cyclically shift every row right by a fixed amount.
6
3
5
2
[ { "input": "5 5 5 3 0;2 3 3 3 4;3 3 0 2 5", "output": "3 0 5 5 5;3 4 2 3 3;2 5 3 3 0" }, { "input": "5 0 0 5 0;5 2 1 3 2;5 5 1 1 4", "output": "5 0 5 0 0;3 2 5 2 1;1 4 5 5 1" } ]
1 0 1 0 0;4 1 5 5 0;0 1 5 5 5
0 0 1 0 1;5 0 4 1 5;5 5 0 1 5
icgr-00444
flip_h
atomic
Mirror the grid left-to-right.
5
3
5
2
[ { "input": "1 4 0 3 3;3 2 3 2 0;0 2 3 0 2", "output": "3 3 0 4 1;0 2 3 2 3;2 0 3 2 0" }, { "input": "0 2 3 3 3;4 3 0 2 2;1 3 2 1 0", "output": "3 3 3 2 0;2 2 0 3 4;0 1 2 3 1" } ]
3 2 4 4 3;2 0 3 4 1;4 2 4 2 1
3 4 4 2 3;1 4 3 0 2;1 2 4 2 4
icgr-00459
color_swap
atomic
Swap two colours everywhere they appear.
6
4
4
4
[ { "input": "1 0 1 4;1 0 4 2;2 0 5 2;0 1 5 5", "output": "1 0 1 5;1 0 5 2;2 0 4 2;0 1 4 4" }, { "input": "5 3 3 3;1 3 4 5;1 3 3 0;1 1 1 0", "output": "4 3 3 3;1 3 5 4;1 3 3 0;1 1 1 0" }, { "input": "5 4 5 0;1 0 0 3;1 3 0 0;5 4 3 2", "output": "4 5 4 0;1 0 0 3;1 3 0 0;4 5 3 2" }, {...
2 3 2 1;5 0 5 3;4 3 1 4;0 2 3 4
2 3 2 1;4 0 4 3;5 3 1 5;0 2 3 5
icgr-00290
flip_h
atomic
Mirror the grid left-to-right.
5
4
4
2
[ { "input": "4 2 1 0;3 3 0 2;2 0 2 2;1 0 0 3", "output": "0 1 2 4;2 0 3 3;2 2 0 2;3 0 0 1" }, { "input": "3 0 1 3;3 4 0 3;0 4 4 2;4 0 1 3", "output": "3 1 0 3;3 0 4 3;2 4 4 0;3 1 0 4" } ]
4 2 2 3;1 4 4 0;2 1 0 2;3 0 3 2
3 2 2 4;0 4 4 1;2 0 1 2;2 3 0 3
icgr-00416
shift_rows+flip_h
composed
Cyclically shift every row right by a fixed amount. Then, Mirror the grid left-to-right.
6
5
3
3
[ { "input": "0 1 4;4 4 4;3 3 5;3 5 2;1 1 4", "output": "0 4 1;4 4 4;3 5 3;3 2 5;1 4 1" }, { "input": "3 2 2;2 2 4;4 5 0;5 4 4;3 2 5", "output": "3 2 2;2 4 2;4 0 5;5 4 4;3 5 2" }, { "input": "3 3 4;1 5 5;5 2 2;0 2 4;4 3 2", "output": "3 4 3;1 5 5;5 2 2;0 4 2;4 2 3" } ]
2 0 2;5 0 2;4 1 3;4 1 4;2 5 0
2 2 0;5 2 0;4 3 1;4 4 1;2 0 5
icgr-00061
border
atomic
Paint the outer border of the grid a fixed colour.
4
5
3
2
[ { "input": "3 1 0;2 1 1;0 3 1;1 0 1;2 3 3", "output": "1 1 1;1 1 1;1 3 1;1 0 1;1 1 1" }, { "input": "1 2 2;3 1 0;2 2 2;3 3 3;0 1 3", "output": "1 1 1;1 1 1;1 2 1;1 3 1;1 1 1" } ]
2 1 1;1 3 3;3 0 0;2 2 1;2 1 3
1 1 1;1 3 1;1 0 1;1 2 1;1 1 1
icgr-00743
border
atomic
Paint the outer border of the grid a fixed colour.
6
4
3
3
[ { "input": "0 1 4;3 4 0;2 4 4;4 1 0", "output": "0 0 0;0 4 0;0 4 0;0 0 0" }, { "input": "4 2 0;2 3 3;2 4 0;1 4 4", "output": "0 0 0;0 3 0;0 4 0;0 0 0" }, { "input": "2 0 5;3 5 0;0 0 1;1 0 5", "output": "0 0 0;0 5 0;0 0 0;0 0 0" } ]
5 1 3;4 3 1;5 5 2;2 2 2
0 0 0;0 3 0;0 5 0;0 0 0
icgr-00124
border
atomic
Paint the outer border of the grid a fixed colour.
6
3
4
2
[ { "input": "4 4 0 1;5 5 3 2;3 3 3 0", "output": "4 4 4 4;4 5 3 4;4 4 4 4" }, { "input": "1 5 3 2;1 0 0 0;4 2 3 3", "output": "4 4 4 4;4 0 0 4;4 4 4 4" } ]
0 5 0 5;4 5 4 5;3 4 4 1
4 4 4 4;4 5 4 4;4 4 4 4
icgr-00594
tile_h
atomic
Concatenate the grid with a copy of itself, side by side.
5
3
4
4
[ { "input": "2 1 1 2;4 2 2 4;3 2 3 2", "output": "2 1 1 2 2 1 1 2;4 2 2 4 4 2 2 4;3 2 3 2 3 2 3 2" }, { "input": "0 4 0 4;1 0 3 1;2 3 3 2", "output": "0 4 0 4 0 4 0 4;1 0 3 1 1 0 3 1;2 3 3 2 2 3 3 2" }, { "input": "1 2 2 4;0 4 1 3;3 3 3 3", "output": "1 2 2 4 1 2 2 4;0 4 1 3 0 4 1 3;3...
4 4 4 3;2 4 3 2;1 0 2 0
4 4 4 3 4 4 4 3;2 4 3 2 2 4 3 2;1 0 2 0 1 0 2 0
icgr-00023
flip_h
atomic
Mirror the grid left-to-right.
5
4
4
2
[ { "input": "1 2 1 1;0 4 3 2;0 2 4 1;1 2 2 2", "output": "1 1 2 1;2 3 4 0;1 4 2 0;2 2 2 1" }, { "input": "2 4 2 1;3 4 3 2;4 1 3 3;3 3 0 3", "output": "1 2 4 2;2 3 4 3;3 3 1 4;3 0 3 3" } ]
0 3 4 3;3 3 4 1;0 4 0 1;2 2 3 2
3 4 3 0;1 4 3 3;1 0 4 0;2 3 2 2
icgr-00930
max_pool2
atomic
Replace each non-overlapping 2x2 block with its maximum value.
6
4
4
2
[ { "input": "1 5 0 5;5 4 5 3;0 2 5 5;5 3 2 1", "output": "5 5;5 5" }, { "input": "0 3 2 3;5 2 2 4;2 1 2 1;0 2 2 3", "output": "5 4;2 3" } ]
5 4 2 4;3 4 1 4;2 5 1 4;2 1 4 2
5 4;5 4
icgr-00131
color_swap+flip_h
composed
Swap two colours everywhere they appear. Then, Mirror the grid left-to-right.
6
4
4
3
[ { "input": "4 1 1 2;0 5 3 1;5 3 4 4;3 1 3 3", "output": "2 1 1 4;1 3 5 0;4 4 3 5;3 3 1 3" }, { "input": "3 5 1 1;0 5 4 5;4 4 3 1;2 0 2 1", "output": "1 1 5 3;5 4 5 0;1 3 4 4;1 2 0 2" }, { "input": "3 0 0 2;2 3 3 1;1 2 0 4;2 4 3 4", "output": "2 0 0 3;1 3 3 2;4 0 2 1;4 3 4 2" } ]
0 0 4 0;1 3 3 0;0 1 3 5;4 5 4 3
0 4 0 0;0 3 3 1;5 3 1 0;3 4 5 4
icgr-00218
max_pool2
atomic
Replace each non-overlapping 2x2 block with its maximum value.
5
6
6
4
[ { "input": "2 3 1 0 4 3;2 3 0 3 4 0;2 2 2 1 1 2;1 0 2 1 2 0;0 4 4 2 4 4;0 2 4 0 2 3", "output": "3 3 4;2 2 2;4 4 4" }, { "input": "2 3 4 1 0 0;2 2 0 3 4 3;4 0 3 4 3 4;1 2 3 0 3 4;2 4 1 1 3 0;0 0 2 0 1 1", "output": "3 4 4;4 4 4;4 2 3" }, { "input": "3 3 0 4 4 2;3 0 3 2 1 4;2 0 1 4 1 4;4 ...
0 4 3 2 1 3;2 3 3 2 1 4;1 4 3 1 4 0;4 2 0 0 2 3;4 2 4 1 4 2;3 3 3 4 1 2
4 3 4;4 3 4;4 4 4
icgr-00172
add_mod+border
composed
Add a fixed constant to every cell, modulo the colour count. Then, Paint the outer border of the grid a fixed colour.
6
4
4
4
[ { "input": "5 5 5 2;0 0 4 1;1 5 5 4;5 3 0 5", "output": "1 1 1 1;1 2 0 1;1 1 1 1;1 1 1 1" }, { "input": "5 2 5 3;5 0 5 3;5 1 1 0;2 3 2 3", "output": "1 1 1 1;1 2 1 1;1 3 3 1;1 1 1 1" }, { "input": "0 2 4 4;3 5 1 3;5 2 2 4;2 2 5 2", "output": "1 1 1 1;1 1 3 1;1 4 4 1;1 1 1 1" }, {...
3 2 1 5;3 5 5 1;3 5 3 4;4 2 5 5
1 1 1 1;1 1 1 1;1 1 5 1;1 1 1 1
icgr-00435
flip_v+add_mod
composed
Mirror the grid top-to-bottom. Then, Add a fixed constant to every cell, modulo the colour count.
5
5
4
2
[ { "input": "4 0 4 3;2 2 1 3;3 2 4 2;0 1 3 2;2 3 0 4", "output": "3 4 1 0;1 2 4 3;4 3 0 3;3 3 2 4;0 1 0 4" }, { "input": "4 4 2 3;3 2 4 4;0 1 0 4;3 2 3 3;1 0 4 0", "output": "2 1 0 1;4 3 4 4;1 2 1 0;4 3 0 0;0 0 3 4" } ]
1 3 4 0;0 2 0 3;2 1 0 4;4 3 3 1;4 0 1 0
0 1 2 1;0 4 4 2;3 2 1 0;1 3 1 4;2 4 0 1
icgr-00741
transpose
atomic
Swap rows and columns (transpose).
6
3
5
2
[ { "input": "3 3 0 0 2;4 2 5 5 3;1 2 4 3 0", "output": "3 4 1;3 2 2;0 5 4;0 5 3;2 3 0" }, { "input": "0 0 2 5 1;3 5 2 0 5;1 2 5 3 0", "output": "0 3 1;0 5 2;2 2 5;5 0 3;1 5 0" } ]
3 2 1 4 5;5 4 2 2 3;0 0 5 1 3
3 5 0;2 4 0;1 2 5;4 2 1;5 3 3
icgr-00468
flip_v
atomic
Mirror the grid top-to-bottom.
6
4
3
3
[ { "input": "0 3 5;0 0 3;4 2 1;4 4 0", "output": "4 4 0;4 2 1;0 0 3;0 3 5" }, { "input": "5 4 0;4 0 5;1 1 3;5 5 2", "output": "5 5 2;1 1 3;4 0 5;5 4 0" }, { "input": "4 4 5;3 3 4;1 5 5;4 4 5", "output": "4 4 5;1 5 5;3 3 4;4 4 5" } ]
0 4 4;4 1 5;1 2 2;5 2 5
5 2 5;1 2 2;4 1 5;0 4 4
icgr-00062
shift_rows
atomic
Cyclically shift every row right by a fixed amount.
5
3
5
4
[ { "input": "1 2 0 4 1;1 3 3 0 4;2 3 0 0 4", "output": "4 1 1 2 0;0 4 1 3 3;0 4 2 3 0" }, { "input": "1 3 1 2 1;2 0 3 1 4;3 4 4 2 4", "output": "2 1 1 3 1;1 4 2 0 3;2 4 3 4 4" }, { "input": "0 0 1 0 2;1 1 3 0 0;3 0 0 3 3", "output": "0 2 0 0 1;0 0 1 1 3;3 3 3 0 0" }, { "input"...
1 4 4 4 4;3 4 1 3 4;1 4 2 2 4
4 4 1 4 4;3 4 3 4 1;2 4 1 4 2
icgr-00653
max_pool2
atomic
Replace each non-overlapping 2x2 block with its maximum value.
6
6
4
3
[ { "input": "4 5 4 4;1 1 2 3;5 1 1 4;1 0 2 0;1 0 2 3;3 2 1 1", "output": "5 4;5 4;3 3" }, { "input": "2 5 0 2;3 0 2 0;0 5 2 1;0 3 4 0;2 0 0 3;2 2 1 0", "output": "5 2;5 4;2 3" }, { "input": "0 0 3 1;3 4 2 1;3 5 4 5;1 2 0 1;1 3 4 2;1 1 2 3", "output": "4 3;5 5;3 4" } ]
2 0 2 5;1 1 1 0;0 2 4 3;2 3 0 5;2 2 2 5;0 1 5 2
2 5;3 5;2 5
icgr-00194
tile_h
atomic
Concatenate the grid with a copy of itself, side by side.
5
4
3
3
[ { "input": "4 3 2;1 3 1;4 0 3;0 1 0", "output": "4 3 2 4 3 2;1 3 1 1 3 1;4 0 3 4 0 3;0 1 0 0 1 0" }, { "input": "1 0 0;4 0 2;1 1 2;2 4 3", "output": "1 0 0 1 0 0;4 0 2 4 0 2;1 1 2 1 1 2;2 4 3 2 4 3" }, { "input": "3 1 4;1 0 0;2 2 0;3 0 4", "output": "3 1 4 3 1 4;1 0 0 1 0 0;2 2 0 2 2...
3 2 3;4 3 0;0 3 0;1 3 1
3 2 3 3 2 3;4 3 0 4 3 0;0 3 0 0 3 0;1 3 1 1 3 1
icgr-00828
rotate90
atomic
Rotate the grid 90 degrees clockwise.
5
5
4
2
[ { "input": "0 2 0 1;0 1 2 1;1 4 3 4;2 0 4 1;2 4 2 0", "output": "2 2 1 0 0;4 0 4 1 2;2 4 3 2 0;0 1 4 1 1" }, { "input": "0 0 3 1;3 4 4 0;1 3 3 4;1 3 0 4;2 2 2 4", "output": "2 1 1 3 0;2 3 3 4 0;2 0 3 4 3;4 4 4 0 1" } ]
0 4 2 3;0 2 4 3;2 3 1 0;1 4 3 0;4 2 1 0
4 1 2 0 0;2 4 3 2 4;1 3 1 4 2;0 0 0 3 3
icgr-00712
transpose
atomic
Swap rows and columns (transpose).
5
5
5
4
[ { "input": "2 2 0 0 1;3 0 1 4 4;3 2 4 1 4;0 2 0 2 3;4 0 4 4 2", "output": "2 3 3 0 4;2 0 2 2 0;0 1 4 0 4;0 4 1 2 4;1 4 4 3 2" }, { "input": "3 3 0 4 0;2 0 2 4 1;3 1 3 2 2;0 0 0 0 3;1 2 1 3 0", "output": "3 2 3 0 1;3 0 1 0 2;0 2 3 0 1;4 4 2 0 3;0 1 2 3 0" }, { "input": "3 2 4 2 3;0 1 1 2 ...
4 4 2 3 0;1 3 0 2 2;0 3 1 4 1;4 4 1 4 2;1 4 2 4 2
4 1 0 4 1;4 3 3 4 4;2 0 1 1 2;3 2 4 4 4;0 2 1 2 2
icgr-00513
add_mod
atomic
Add a fixed constant to every cell, modulo the colour count.
5
5
5
3
[ { "input": "0 0 1 1 2;4 4 2 3 2;0 1 2 3 1;1 2 2 4 4;3 1 2 3 3", "output": "1 1 2 2 3;0 0 3 4 3;1 2 3 4 2;2 3 3 0 0;4 2 3 4 4" }, { "input": "3 0 0 4 2;0 1 4 4 0;3 1 0 3 0;4 2 2 0 3;0 1 0 1 3", "output": "4 1 1 0 3;1 2 0 0 1;4 2 1 4 1;0 3 3 1 4;1 2 1 2 4" }, { "input": "1 0 1 2 3;1 4 2 0 ...
2 1 3 4 2;2 3 2 2 4;4 1 3 0 4;4 1 1 3 0;3 0 3 0 2
3 2 4 0 3;3 4 3 3 0;0 2 4 1 0;0 2 2 4 1;4 1 4 1 3
icgr-00981
transpose
atomic
Swap rows and columns (transpose).
6
5
4
2
[ { "input": "2 4 1 1;4 2 5 2;5 5 5 3;2 4 1 0;2 4 0 1", "output": "2 4 5 2 2;4 2 5 4 4;1 5 5 1 0;1 2 3 0 1" }, { "input": "0 2 0 4;0 0 4 5;1 5 0 0;0 2 3 0;1 0 2 1", "output": "0 0 1 0 1;2 0 5 2 0;0 4 0 3 2;4 5 0 0 1" } ]
5 3 3 5;4 2 4 5;2 1 4 5;3 0 5 5;3 3 4 1
5 4 2 3 3;3 2 1 0 3;3 4 4 5 4;5 5 5 5 1
icgr-00632
color_swap+flip_v
composed
Swap two colours everywhere they appear. Then, Mirror the grid top-to-bottom.
6
5
5
4
[ { "input": "3 1 4 0 1;3 3 2 1 3;0 5 4 4 5;2 0 2 2 3;3 5 2 3 4", "output": "3 5 0 3 4;0 2 0 0 3;2 5 4 4 5;3 3 0 1 3;3 1 4 2 1" }, { "input": "4 3 1 0 2;5 3 5 5 0;4 0 0 2 2;0 4 4 4 5;0 0 0 0 2", "output": "2 2 2 2 0;2 4 4 4 5;4 2 2 0 0;5 3 5 5 2;4 3 1 2 0" }, { "input": "0 4 5 0 1;1 2 3 0 ...
3 0 4 2 5;0 2 2 0 3;2 4 2 0 1;1 0 5 5 0;3 0 0 5 1
3 2 2 5 1;1 2 5 5 2;0 4 0 2 1;2 0 0 2 3;3 2 4 0 5