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10 Commits

Author SHA1 Message Date
Greg Kamradt
f3283f7274 readme updates 2025-05-15 16:15:22 -07:00
Greg Kamradt
2c42f4d6f2 Update faa9f03d with edits 2025-05-15 16:12:29 -07:00
Greg Kamradt
f4852d1766 faa9f03d first text index removed 2025-05-15 16:07:33 -07:00
Greg Kamradt
fa11dfc31c removing first test index f560132c 2025-05-15 16:06:45 -07:00
Greg Kamradt
f85d970504 removing b6f77b65 first test index 2025-05-15 16:04:52 -07:00
Greg Kamradt
fb0a4bfce8 removing abc82100 first test index 2025-05-15 16:04:03 -07:00
Greg Kamradt
124910ab8e removing 4a21e3da first test index 2025-05-15 16:02:37 -07:00
Greg Kamradt
1ef37bc909 changelog update 2025-04-17 10:37:44 -07:00
Greg Kamradt
14fba87526 task update 2025-04-17 10:36:10 -07:00
Greg Kamradt
fd80c5ad77 adding 2 tasks 2025-04-15 14:33:56 -07:00
8 changed files with 8084 additions and 505 deletions

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@ -4,9 +4,15 @@ This document tracks changes and updates to the ARC-AGI-2 dataset tasks.
## Updates
### 2025-04-17
* Public eval task `d8e07eb2` - [Single train pair update](https://github.com/arcprize/ARC-AGI-2/commit/14fba87526c727b80b3a9b85d5933fd7825b991f)
### 2025-04-14
* Public Eval Tasks were updated with minor adjustments (off-by-one-pixel errors and slight ambiguities) to train and test pairs. No major task refactors. Updated tasks:
* `38007db0` - [Single test pair update](https://github.com/arcprize/ARC-AGI-2/commit/385b761253cf7157ad503909f4d8224b8d85ca97#diff-41216bd1be9cb219575a44e2a21a7dcf18667c75dfa292d52ea7878a3148bcd1)
* `36a08778` - [Single test pair update](https://github.com/arcprize/ARC-AGI-2/commit/385b761253cf7157ad503909f4d8224b8d85ca97)
* `247ef758` - [Single test pair update](https://github.com/arcprize/ARC-AGI-2/commit/8b454b595552981fc9aa8e9540f3e68c92b0f03a)
* `f560132c` - [Single test pair update](https://github.com/arcprize/ARC-AGI-2/commit/30c145f7c524c932d95d4a512abdd5318ef21bf9)
* `f931b4a8` - [Train pair update](https://github.com/arcprize/ARC-AGI-2/commit/86a8149f53ce915c069cf586f061eb0af0204713)

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@ -152,36 +152,6 @@
}
],
"test": [
{
"input": [
[3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 4, 3, 3, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 4, 0, 3, 0, 8, 7, 7, 7, 0, 0],
[0, 0, 4, 0, 3, 0, 8, 0, 0, 7, 0, 0],
[0, 0, 4, 0, 3, 0, 8, 0, 0, 7, 0, 0],
[0, 0, 6, 5, 5, 5, 5, 5, 0, 7, 0, 0],
[0, 0, 6, 0, 0, 0, 0, 5, 0, 7, 0, 0],
[0, 0, 6, 0, 0, 0, 0, 5, 0, 7, 0, 0],
[0, 3, 1, 1, 1, 0, 2, 2, 2, 2, 9, 0],
[0, 3, 0, 0, 1, 0, 2, 0, 0, 0, 9, 0],
[0, 3, 0, 0, 1, 0, 2, 0, 0, 0, 9, 0]
],
"output": [
[3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0],
[0, 0, 4, 0, 0, 0, 0, 0, 0, 7, 0, 0],
[0, 0, 4, 0, 0, 0, 8, 7, 7, 7, 0, 0],
[0, 0, 4, 0, 0, 0, 8, 5, 0, 7, 0, 0],
[0, 0, 4, 0, 0, 0, 8, 5, 0, 7, 0, 0],
[0, 0, 6, 5, 5, 5, 5, 5, 0, 7, 0, 0],
[0, 0, 6, 0, 1, 0, 2, 2, 2, 2, 9, 0],
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[7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],

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@ -1,468 +1,468 @@
{
"train": [
{
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[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]
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[8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8],
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[8, 8, 4, 8, 4, 8, 8, 2, 2, 8, 8, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
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[8, 8, 4, 4, 4, 8, 8, 8, 2, 8, 8, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
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]
},
{
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[8, 8, 0, 8, 8, 8, 8, 1, 1, 1, 8, 8, 6, 6, 6, 8, 8, 2, 2, 8, 8, 8],
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[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
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[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]
]
},
{
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[8, 8, 7, 7, 7, 8, 8, 8, 1, 8, 8, 8, 8, 8, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 8, 8, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 2, 8, 8, 5, 8, 8, 8, 8, 1, 1, 8, 8, 8],
[8, 8, 4, 4, 4, 8, 8, 8, 2, 8, 8, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 9, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 9, 9, 9, 8, 8, 6, 8, 6, 8, 8, 4, 4, 4, 8, 8, 2, 8, 2, 8, 8],
[8, 8, 8, 8, 9, 8, 8, 6, 8, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]
],
"output": [
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 4, 8, 4, 8, 8, 2, 2, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 8, 2, 8, 8, 8, 4, 8, 4, 8, 8, 2, 2, 2, 8, 8, 2, 8, 2, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 4, 4, 4, 8, 8, 8, 2, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 3, 2, 3, 2, 3, 8, 0, 8, 8, 8, 8, 8, 8, 7, 8, 8, 9, 8, 9, 8, 8],
[8, 3, 3, 2, 3, 3, 8, 0, 0, 0, 8, 8, 8, 8, 7, 8, 8, 9, 9, 8, 8, 8],
[8, 3, 2, 3, 2, 3, 8, 0, 8, 0, 8, 8, 7, 7, 7, 8, 8, 9, 9, 9, 8, 8],
[8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 7, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 7, 7, 8, 8, 8, 1, 8, 8, 8, 8, 8, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 3, 4, 3, 4, 3, 3, 2, 2, 3, 3, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 3, 4, 3, 4, 3, 3, 2, 2, 2, 3, 8, 5, 8, 8, 8, 8, 1, 1, 8, 8, 8],
[8, 3, 4, 4, 4, 3, 3, 3, 2, 3, 3, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8],
[8, 8, 9, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 4, 8, 8, 3, 2, 2, 2, 3, 8],
[8, 8, 9, 9, 9, 8, 8, 6, 8, 6, 8, 8, 4, 4, 4, 8, 3, 2, 3, 2, 3, 8],
[8, 8, 8, 8, 9, 8, 8, 6, 8, 6, 8, 8, 8, 4, 8, 8, 3, 2, 2, 2, 3, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]
]
},
{
"input": [
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 0, 0, 0, 8, 8, 2, 2, 8, 8, 8, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8],
[8, 8, 0, 0, 0, 8, 8, 2, 2, 2, 8, 8, 7, 7, 7, 8, 8, 8, 8, 6, 8, 8],
[8, 8, 0, 0, 0, 8, 8, 8, 2, 8, 8, 8, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 8, 8, 8, 8, 8, 7, 8, 8, 9, 8, 9, 8, 8],
[8, 8, 8, 2, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 7, 8, 8, 9, 9, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 0, 8, 8, 7, 7, 7, 8, 8, 9, 9, 9, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 7, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 7, 7, 8, 8, 8, 1, 8, 8, 8, 8, 8, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 8, 8, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 2, 8, 8, 5, 8, 8, 8, 8, 1, 1, 8, 8, 8],
[8, 8, 4, 4, 4, 8, 8, 8, 2, 8, 8, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 9, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 9, 9, 9, 8, 8, 6, 8, 6, 8, 8, 4, 4, 4, 8, 8, 2, 8, 2, 8, 8],
[8, 8, 8, 8, 9, 8, 8, 6, 8, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]
],
"output": [
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 0, 0, 0, 8, 8, 2, 2, 8, 8, 8, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8],
[8, 8, 0, 0, 0, 8, 8, 2, 2, 2, 8, 8, 7, 7, 7, 8, 8, 8, 8, 6, 8, 8],
[8, 8, 0, 0, 0, 8, 8, 8, 2, 8, 8, 8, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 8, 8, 8, 8, 8, 7, 8, 8, 9, 8, 9, 8, 8],
[8, 8, 8, 2, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 7, 8, 8, 9, 9, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 0, 8, 8, 7, 7, 7, 8, 8, 9, 9, 9, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8],
[8, 3, 7, 3, 3, 3, 8, 1, 1, 1, 8, 3, 3, 6, 6, 3, 3, 0, 0, 0, 3, 8],
[8, 3, 7, 7, 7, 3, 8, 8, 1, 8, 8, 3, 3, 3, 6, 3, 3, 0, 0, 0, 3, 8],
[8, 3, 7, 3, 3, 3, 8, 1, 1, 1, 8, 3, 3, 6, 6, 3, 3, 0, 0, 0, 3, 8],
[8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8],
[8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 4, 8, 4, 8, 3, 2, 2, 3, 3, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 8, 4, 8, 4, 8, 3, 2, 2, 2, 3, 8, 5, 8, 8, 8, 8, 1, 1, 8, 8, 8],
[8, 8, 4, 4, 4, 8, 3, 3, 2, 3, 3, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 9, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 9, 9, 9, 8, 8, 6, 8, 6, 8, 8, 4, 4, 4, 8, 8, 2, 8, 2, 8, 8],
[8, 8, 8, 8, 9, 8, 8, 6, 8, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]
]
},
{
"input": [
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 1, 1, 1, 8, 8, 1, 8, 1, 8, 8, 9, 8, 9, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 1, 8, 8, 8, 1, 1, 8, 8, 8, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 1, 1, 1, 8, 8, 1, 8, 1, 8, 8, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 8, 8, 8, 8, 8, 7, 8, 8, 9, 8, 9, 8, 8],
[8, 8, 8, 2, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 7, 8, 8, 9, 9, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 0, 8, 8, 7, 7, 7, 8, 8, 9, 9, 9, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 7, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 7, 7, 8, 8, 8, 1, 8, 8, 8, 8, 8, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 8, 8, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 2, 8, 8, 5, 8, 8, 8, 8, 1, 1, 8, 8, 8],
[8, 8, 4, 4, 4, 8, 8, 8, 2, 8, 8, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 9, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 9, 9, 9, 8, 8, 6, 8, 6, 8, 8, 4, 4, 4, 8, 8, 2, 8, 2, 8, 8],
[8, 8, 8, 8, 9, 8, 8, 6, 8, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]
],
"output": [
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 1, 1, 1, 8, 8, 1, 8, 1, 8, 8, 9, 8, 9, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 1, 8, 8, 8, 1, 1, 8, 8, 8, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 1, 1, 1, 8, 8, 1, 8, 1, 8, 8, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 8, 8, 8, 8, 8, 7, 8, 3, 9, 3, 9, 3, 8],
[8, 8, 8, 2, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 7, 8, 3, 9, 9, 3, 3, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 0, 8, 8, 7, 7, 7, 8, 3, 9, 9, 9, 3, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8],
[8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 7, 8, 8, 8, 3, 1, 1, 1, 3, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 7, 7, 8, 3, 3, 1, 3, 3, 8, 8, 8, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 8, 8, 8, 3, 1, 1, 1, 3, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 8, 8, 8, 5, 5, 8, 8, 3, 1, 3, 1, 3, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 2, 8, 8, 5, 8, 8, 8, 3, 1, 1, 3, 3, 8],
[8, 8, 4, 4, 4, 8, 8, 8, 2, 8, 8, 8, 5, 5, 8, 8, 3, 1, 3, 1, 3, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 9, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 9, 9, 9, 8, 8, 6, 8, 6, 8, 8, 4, 4, 4, 8, 8, 2, 8, 2, 8, 8],
[8, 8, 8, 8, 9, 8, 8, 6, 8, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]
]
}
],
"test": [
{
"input": [
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 0, 0, 0, 8, 8, 1, 8, 1, 8, 8, 9, 8, 9, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 0, 0, 0, 8, 8, 1, 1, 8, 8, 8, 9, 9, 8, 8, 8, 2, 8, 2, 8, 8],
[8, 8, 0, 0, 0, 8, 8, 1, 8, 1, 8, 8, 9, 9, 9, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 8, 8, 8, 8, 8, 7, 8, 8, 9, 8, 9, 8, 8],
[8, 8, 8, 2, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 7, 8, 8, 9, 9, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 0, 8, 8, 7, 7, 7, 8, 8, 9, 9, 9, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 7, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 7, 7, 8, 8, 8, 1, 8, 8, 8, 8, 8, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 8, 8, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 2, 8, 8, 5, 8, 8, 8, 8, 1, 1, 8, 8, 8],
[8, 8, 4, 4, 4, 8, 8, 8, 2, 8, 8, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 9, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 9, 9, 9, 8, 8, 6, 8, 6, 8, 8, 4, 4, 4, 8, 8, 2, 8, 2, 8, 8],
[8, 8, 8, 8, 9, 8, 8, 6, 8, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]
],
"output": [
[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],
[3, 3, 0, 0, 0, 3, 3, 1, 3, 1, 3, 3, 9, 3, 9, 3, 3, 2, 2, 2, 3, 3],
[3, 3, 0, 0, 0, 3, 3, 1, 1, 3, 3, 3, 9, 9, 3, 3, 3, 2, 3, 2, 3, 3],
[3, 3, 0, 0, 0, 3, 3, 1, 3, 1, 3, 3, 9, 9, 9, 3, 3, 2, 2, 2, 3, 3],
[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 8, 8, 8, 8, 8, 7, 8, 3, 9, 3, 9, 3, 8],
[8, 8, 8, 2, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 7, 8, 3, 9, 9, 3, 3, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 0, 8, 8, 7, 7, 7, 8, 3, 9, 9, 9, 3, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8],
[8, 8, 7, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 3, 0, 0, 0, 3, 8],
[8, 8, 7, 7, 7, 8, 8, 8, 1, 8, 8, 8, 8, 8, 6, 8, 3, 0, 0, 0, 3, 8],
[8, 8, 7, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 3, 0, 0, 0, 3, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 8, 8, 8, 5, 5, 8, 8, 3, 1, 3, 1, 3, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 2, 8, 8, 5, 8, 8, 8, 3, 1, 1, 3, 3, 8],
[8, 8, 4, 4, 4, 8, 8, 8, 2, 8, 8, 8, 5, 5, 8, 8, 3, 1, 3, 1, 3, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8],
[8, 8, 9, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 4, 8, 8, 3, 2, 2, 2, 3, 8],
[8, 8, 9, 9, 9, 8, 8, 6, 8, 6, 8, 8, 4, 4, 4, 8, 3, 2, 3, 2, 3, 8],
[8, 8, 8, 8, 9, 8, 8, 6, 8, 6, 8, 8, 8, 4, 8, 8, 3, 2, 2, 2, 3, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],
[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]
]
},
{
"input": [
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 7, 8, 8, 8, 8, 2, 2, 8, 8, 8, 5, 5, 8, 8, 8],
[8, 8, 8, 2, 8, 8, 8, 7, 7, 7, 8, 8, 2, 2, 2, 8, 8, 5, 8, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 7, 8, 8, 8, 8, 8, 2, 8, 8, 8, 5, 5, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 8, 8, 8, 8, 8, 7, 8, 8, 9, 8, 9, 8, 8],
[8, 8, 8, 2, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 7, 8, 8, 9, 9, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 0, 8, 8, 7, 7, 7, 8, 8, 9, 9, 9, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 7, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 7, 7, 8, 8, 8, 1, 8, 8, 8, 8, 8, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 8, 8, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 2, 8, 8, 5, 8, 8, 8, 8, 1, 1, 8, 8, 8],
[8, 8, 4, 4, 4, 8, 8, 8, 2, 8, 8, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 9, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 9, 9, 9, 8, 8, 6, 8, 6, 8, 8, 4, 4, 4, 8, 8, 2, 8, 2, 8, 8],
[8, 8, 8, 8, 9, 8, 8, 6, 8, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]
],
"output": [
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 7, 8, 8, 8, 8, 2, 2, 8, 8, 8, 5, 5, 8, 8, 8],
[8, 8, 8, 2, 8, 8, 8, 7, 7, 7, 8, 8, 2, 2, 2, 8, 8, 5, 8, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 7, 8, 8, 8, 8, 8, 2, 8, 8, 8, 5, 5, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 3, 2, 3, 2, 3, 8, 0, 8, 8, 8, 8, 8, 8, 7, 8, 8, 9, 8, 9, 8, 8],
[8, 3, 3, 2, 3, 3, 8, 0, 0, 0, 8, 8, 8, 8, 7, 8, 8, 9, 9, 8, 8, 8],
[8, 3, 2, 3, 2, 3, 8, 0, 8, 0, 8, 8, 7, 7, 7, 8, 8, 9, 9, 9, 8, 8],
[8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 3, 7, 3, 3, 3, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 3, 7, 7, 7, 3, 8, 8, 1, 8, 8, 8, 8, 8, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 3, 7, 3, 3, 3, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8],
[8, 8, 4, 8, 4, 8, 3, 2, 2, 3, 3, 3, 5, 5, 3, 3, 8, 1, 8, 1, 8, 8],
[8, 8, 4, 8, 4, 8, 3, 2, 2, 2, 3, 3, 5, 3, 3, 3, 8, 1, 1, 8, 8, 8],
[8, 8, 4, 4, 4, 8, 3, 3, 2, 3, 3, 3, 5, 5, 3, 3, 8, 1, 8, 1, 8, 8],
[8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 9, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 9, 9, 9, 8, 8, 6, 8, 6, 8, 8, 4, 4, 4, 8, 8, 2, 8, 2, 8, 8],
[8, 8, 8, 8, 9, 8, 8, 6, 8, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]
]
}
]
}
"train": [
{
"input": [
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 0, 0, 0, 8, 8, 1, 1, 1, 8, 8, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8],
[8, 8, 0, 0, 0, 8, 8, 8, 1, 8, 8, 8, 7, 7, 7, 8, 8, 8, 8, 6, 8, 8],
[8, 8, 0, 0, 0, 8, 8, 1, 1, 1, 8, 8, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 8, 8, 8, 8, 8, 7, 8, 8, 9, 8, 9, 8, 8],
[8, 8, 8, 2, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 7, 8, 8, 9, 9, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 0, 8, 8, 7, 7, 7, 8, 8, 9, 9, 9, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 7, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 7, 7, 8, 8, 8, 1, 8, 8, 8, 8, 8, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 8, 8, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 2, 8, 8, 5, 8, 8, 8, 8, 1, 1, 8, 8, 8],
[8, 8, 4, 4, 4, 8, 8, 8, 2, 8, 8, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 9, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 9, 9, 9, 8, 8, 6, 8, 6, 8, 8, 4, 4, 4, 8, 8, 2, 8, 2, 8, 8],
[8, 8, 8, 8, 9, 8, 8, 6, 8, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]
],
"output": [
[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],
[3, 3, 0, 0, 0, 3, 3, 1, 1, 1, 3, 3, 7, 3, 3, 3, 3, 3, 6, 6, 3, 3],
[3, 3, 0, 0, 0, 3, 3, 3, 1, 3, 3, 3, 7, 7, 7, 3, 3, 3, 3, 6, 3, 3],
[3, 3, 0, 0, 0, 3, 3, 1, 1, 1, 3, 3, 7, 3, 3, 3, 3, 3, 6, 6, 3, 3],
[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 8, 8, 8, 8, 8, 7, 8, 8, 9, 8, 9, 8, 8],
[8, 8, 8, 2, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 7, 8, 8, 9, 9, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 0, 8, 8, 7, 7, 7, 8, 8, 9, 9, 9, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8],
[8, 3, 7, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 6, 6, 3, 3, 0, 0, 0, 3, 8],
[8, 3, 7, 7, 7, 3, 3, 3, 1, 3, 3, 3, 3, 3, 6, 3, 3, 0, 0, 0, 3, 8],
[8, 3, 7, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 6, 6, 3, 3, 0, 0, 0, 3, 8],
[8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 8, 8, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 2, 8, 8, 5, 8, 8, 8, 8, 1, 1, 8, 8, 8],
[8, 8, 4, 4, 4, 8, 8, 8, 2, 8, 8, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 9, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 9, 9, 9, 8, 8, 6, 8, 6, 8, 8, 4, 4, 4, 8, 8, 2, 8, 2, 8, 8],
[8, 8, 8, 8, 9, 8, 8, 6, 8, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],
[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]
]
},
{
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[8, 8, 0, 8, 8, 8, 8, 1, 1, 1, 8, 8, 6, 6, 6, 8, 8, 2, 2, 8, 8, 8],
[8, 8, 0, 0, 0, 8, 8, 8, 1, 8, 8, 8, 6, 8, 6, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 0, 8, 0, 8, 8, 1, 1, 1, 8, 8, 6, 8, 6, 8, 8, 8, 2, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 8, 8, 8, 8, 8, 7, 8, 8, 9, 8, 9, 8, 8],
[8, 8, 8, 2, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 7, 8, 8, 9, 9, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 0, 8, 8, 7, 7, 7, 8, 8, 9, 9, 9, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 7, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 7, 7, 8, 8, 8, 1, 8, 8, 8, 8, 8, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 8, 8, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 2, 8, 8, 5, 8, 8, 8, 8, 1, 1, 8, 8, 8],
[8, 8, 4, 4, 4, 8, 8, 8, 2, 8, 8, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
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[8, 8, 9, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 9, 9, 9, 8, 8, 6, 8, 6, 8, 8, 4, 4, 4, 8, 8, 2, 8, 2, 8, 8],
[8, 8, 8, 8, 9, 8, 8, 6, 8, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]
],
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[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],
[3, 3, 0, 3, 3, 3, 3, 1, 1, 1, 3, 3, 6, 6, 6, 3, 3, 2, 2, 3, 3, 3],
[3, 3, 0, 0, 0, 3, 3, 3, 1, 3, 3, 3, 6, 3, 6, 3, 3, 2, 2, 2, 3, 3],
[3, 3, 0, 3, 0, 3, 3, 1, 1, 1, 3, 3, 6, 3, 6, 3, 3, 3, 2, 3, 3, 3],
[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 3, 0, 3, 3, 3, 8, 8, 8, 7, 8, 8, 9, 8, 9, 8, 8],
[8, 8, 8, 2, 8, 8, 3, 0, 0, 0, 3, 8, 8, 8, 7, 8, 8, 9, 9, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 3, 0, 3, 0, 3, 8, 7, 7, 7, 8, 8, 9, 9, 9, 8, 8],
[8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 7, 8, 8, 8, 3, 1, 1, 1, 3, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 7, 7, 8, 3, 3, 1, 3, 3, 8, 8, 8, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 8, 8, 8, 3, 1, 1, 1, 3, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 4, 8, 4, 8, 3, 2, 2, 3, 3, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 8, 4, 8, 4, 8, 3, 2, 2, 2, 3, 8, 5, 8, 8, 8, 8, 1, 1, 8, 8, 8],
[8, 8, 4, 4, 4, 8, 3, 3, 2, 3, 3, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 9, 8, 8, 8, 3, 6, 6, 6, 3, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 9, 9, 9, 8, 3, 6, 3, 6, 3, 8, 4, 4, 4, 8, 8, 2, 8, 2, 8, 8],
[8, 8, 8, 8, 9, 8, 3, 6, 3, 6, 3, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],
[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]
]
},
{
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[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 4, 8, 4, 8, 8, 2, 2, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 8, 2, 8, 8, 8, 4, 8, 4, 8, 8, 2, 2, 2, 8, 8, 2, 8, 2, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 4, 4, 4, 8, 8, 8, 2, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 8, 8, 8, 8, 8, 7, 8, 8, 9, 8, 9, 8, 8],
[8, 8, 8, 2, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 7, 8, 8, 9, 9, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 0, 8, 8, 7, 7, 7, 8, 8, 9, 9, 9, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 7, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 7, 7, 8, 8, 8, 1, 8, 8, 8, 8, 8, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 8, 8, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 2, 8, 8, 5, 8, 8, 8, 8, 1, 1, 8, 8, 8],
[8, 8, 4, 4, 4, 8, 8, 8, 2, 8, 8, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 9, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 9, 9, 9, 8, 8, 6, 8, 6, 8, 8, 4, 4, 4, 8, 8, 2, 8, 2, 8, 8],
[8, 8, 8, 8, 9, 8, 8, 6, 8, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]
],
"output": [
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 4, 8, 4, 8, 8, 2, 2, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 8, 2, 8, 8, 8, 4, 8, 4, 8, 8, 2, 2, 2, 8, 8, 2, 8, 2, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 4, 4, 4, 8, 8, 8, 2, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 3, 2, 3, 2, 3, 8, 0, 8, 8, 8, 8, 8, 8, 7, 8, 8, 9, 8, 9, 8, 8],
[8, 3, 3, 2, 3, 3, 8, 0, 0, 0, 8, 8, 8, 8, 7, 8, 8, 9, 9, 8, 8, 8],
[8, 3, 2, 3, 2, 3, 8, 0, 8, 0, 8, 8, 7, 7, 7, 8, 8, 9, 9, 9, 8, 8],
[8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 7, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 7, 7, 8, 8, 8, 1, 8, 8, 8, 8, 8, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 3, 4, 3, 4, 3, 3, 2, 2, 3, 3, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 3, 4, 3, 4, 3, 3, 2, 2, 2, 3, 8, 5, 8, 8, 8, 8, 1, 1, 8, 8, 8],
[8, 3, 4, 4, 4, 3, 3, 3, 2, 3, 3, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8],
[8, 8, 9, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 4, 8, 8, 3, 2, 2, 2, 3, 8],
[8, 8, 9, 9, 9, 8, 8, 6, 8, 6, 8, 8, 4, 4, 4, 8, 3, 2, 3, 2, 3, 8],
[8, 8, 8, 8, 9, 8, 8, 6, 8, 6, 8, 8, 8, 4, 8, 8, 3, 2, 2, 2, 3, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]
]
},
{
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[8, 8, 0, 0, 0, 8, 8, 2, 2, 8, 8, 8, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8],
[8, 8, 0, 0, 0, 8, 8, 2, 2, 2, 8, 8, 7, 7, 7, 8, 8, 8, 8, 6, 8, 8],
[8, 8, 0, 0, 0, 8, 8, 8, 2, 8, 8, 8, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 8, 8, 8, 8, 8, 7, 8, 8, 9, 8, 9, 8, 8],
[8, 8, 8, 2, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 7, 8, 8, 9, 9, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 0, 8, 8, 7, 7, 7, 8, 8, 9, 9, 9, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 7, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 7, 7, 8, 8, 8, 1, 8, 8, 8, 8, 8, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 8, 8, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 2, 8, 8, 5, 8, 8, 8, 8, 1, 1, 8, 8, 8],
[8, 8, 4, 4, 4, 8, 8, 8, 2, 8, 8, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 9, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 9, 9, 9, 8, 8, 6, 8, 6, 8, 8, 4, 4, 4, 8, 8, 2, 8, 2, 8, 8],
[8, 8, 8, 8, 9, 8, 8, 6, 8, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]
],
"output": [
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 0, 0, 0, 8, 8, 2, 2, 8, 8, 8, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8],
[8, 8, 0, 0, 0, 8, 8, 2, 2, 2, 8, 8, 7, 7, 7, 8, 8, 8, 8, 6, 8, 8],
[8, 8, 0, 0, 0, 8, 8, 8, 2, 8, 8, 8, 7, 8, 8, 8, 8, 8, 6, 6, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 8, 8, 8, 8, 8, 7, 8, 8, 9, 8, 9, 8, 8],
[8, 8, 8, 2, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 7, 8, 8, 9, 9, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 0, 8, 8, 7, 7, 7, 8, 8, 9, 9, 9, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8],
[8, 3, 7, 3, 3, 3, 8, 1, 1, 1, 8, 3, 3, 6, 6, 3, 3, 0, 0, 0, 3, 8],
[8, 3, 7, 7, 7, 3, 8, 8, 1, 8, 8, 3, 3, 3, 6, 3, 3, 0, 0, 0, 3, 8],
[8, 3, 7, 3, 3, 3, 8, 1, 1, 1, 8, 3, 3, 6, 6, 3, 3, 0, 0, 0, 3, 8],
[8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8],
[8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 4, 8, 4, 8, 3, 2, 2, 3, 3, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 8, 4, 8, 4, 8, 3, 2, 2, 2, 3, 8, 5, 8, 8, 8, 8, 1, 1, 8, 8, 8],
[8, 8, 4, 4, 4, 8, 3, 3, 2, 3, 3, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 9, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 9, 9, 9, 8, 8, 6, 8, 6, 8, 8, 4, 4, 4, 8, 8, 2, 8, 2, 8, 8],
[8, 8, 8, 8, 9, 8, 8, 6, 8, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]
]
},
{
"input": [
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 1, 1, 1, 8, 8, 1, 8, 1, 8, 8, 9, 8, 9, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 1, 8, 8, 8, 1, 1, 8, 8, 8, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 1, 1, 1, 8, 8, 1, 8, 1, 8, 8, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 8, 8, 8, 8, 8, 7, 8, 8, 9, 8, 9, 8, 8],
[8, 8, 8, 2, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 7, 8, 8, 9, 9, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 0, 8, 8, 7, 7, 7, 8, 8, 9, 9, 9, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 7, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 7, 7, 8, 8, 8, 1, 8, 8, 8, 8, 8, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 8, 8, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 2, 8, 8, 5, 8, 8, 8, 8, 1, 1, 8, 8, 8],
[8, 8, 4, 4, 4, 8, 8, 8, 2, 8, 8, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 9, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 9, 9, 9, 8, 8, 6, 8, 6, 8, 8, 4, 4, 4, 8, 8, 2, 8, 2, 8, 8],
[8, 8, 8, 8, 9, 8, 8, 6, 8, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]
],
"output": [
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 1, 1, 1, 8, 8, 1, 8, 1, 8, 8, 9, 8, 9, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 1, 8, 8, 8, 1, 1, 8, 8, 8, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 1, 1, 1, 8, 8, 1, 8, 1, 8, 8, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 8, 8, 8, 8, 8, 7, 8, 3, 9, 3, 9, 3, 8],
[8, 8, 8, 2, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 7, 8, 3, 9, 9, 3, 3, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 0, 8, 8, 7, 7, 7, 8, 3, 9, 9, 9, 3, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8],
[8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 7, 8, 8, 8, 3, 1, 1, 1, 3, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 7, 7, 8, 3, 3, 1, 3, 3, 8, 8, 8, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 8, 8, 8, 3, 1, 1, 1, 3, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 8, 8, 8, 5, 5, 8, 8, 3, 1, 3, 1, 3, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 2, 8, 8, 5, 8, 8, 8, 3, 1, 1, 3, 3, 8],
[8, 8, 4, 4, 4, 8, 8, 8, 2, 8, 8, 8, 5, 5, 8, 8, 3, 1, 3, 1, 3, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 9, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 9, 9, 9, 8, 8, 6, 8, 6, 8, 8, 4, 4, 4, 8, 8, 2, 8, 2, 8, 8],
[8, 8, 8, 8, 9, 8, 8, 6, 8, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]
]
}
],
"test": [
{
"input": [
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 0, 0, 0, 8, 8, 1, 8, 1, 8, 8, 9, 8, 9, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 0, 0, 0, 8, 8, 1, 1, 8, 8, 8, 9, 9, 8, 8, 8, 2, 8, 2, 8, 8],
[8, 8, 0, 0, 0, 8, 8, 1, 8, 1, 8, 8, 9, 9, 9, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 8, 8, 8, 8, 8, 7, 8, 8, 9, 8, 9, 8, 8],
[8, 8, 8, 2, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 7, 8, 8, 9, 9, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 0, 8, 8, 7, 7, 7, 8, 8, 9, 9, 9, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 7, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 7, 7, 8, 8, 8, 1, 8, 8, 8, 8, 8, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 8, 8, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 2, 8, 8, 5, 8, 8, 8, 8, 1, 1, 8, 8, 8],
[8, 8, 4, 4, 4, 8, 8, 8, 2, 8, 8, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 9, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 9, 9, 9, 8, 8, 6, 8, 6, 8, 8, 4, 4, 4, 8, 8, 2, 8, 2, 8, 8],
[8, 8, 8, 8, 9, 8, 8, 6, 8, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]
],
"output": [
[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],
[3, 3, 0, 0, 0, 3, 3, 1, 3, 1, 3, 3, 9, 3, 9, 3, 3, 2, 2, 2, 3, 3],
[3, 3, 0, 0, 0, 3, 3, 1, 1, 3, 3, 3, 9, 9, 3, 3, 3, 2, 3, 2, 3, 3],
[3, 3, 0, 0, 0, 3, 3, 1, 3, 1, 3, 3, 9, 9, 9, 3, 3, 2, 2, 2, 3, 3],
[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 8, 8, 8, 8, 8, 7, 8, 3, 9, 3, 9, 3, 8],
[8, 8, 8, 2, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 7, 8, 3, 9, 9, 3, 3, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 0, 8, 8, 7, 7, 7, 8, 3, 9, 9, 9, 3, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8],
[8, 8, 7, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 3, 0, 0, 0, 3, 8],
[8, 8, 7, 7, 7, 8, 8, 8, 1, 8, 8, 8, 8, 8, 6, 8, 3, 0, 0, 0, 3, 8],
[8, 8, 7, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 3, 0, 0, 0, 3, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 8, 8, 8, 5, 5, 8, 8, 3, 1, 3, 1, 3, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 2, 8, 8, 5, 8, 8, 8, 3, 1, 1, 3, 3, 8],
[8, 8, 4, 4, 4, 8, 8, 8, 2, 8, 8, 8, 5, 5, 8, 8, 3, 1, 3, 1, 3, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8],
[8, 8, 9, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 4, 8, 8, 3, 2, 2, 2, 3, 8],
[8, 8, 9, 9, 9, 8, 8, 6, 8, 6, 8, 8, 4, 4, 4, 8, 3, 2, 3, 2, 3, 8],
[8, 8, 8, 8, 9, 8, 8, 6, 8, 6, 8, 8, 8, 4, 8, 8, 3, 2, 2, 2, 3, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],
[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]
]
},
{
"input": [
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 7, 8, 8, 8, 8, 2, 2, 8, 8, 8, 5, 5, 8, 8, 8],
[8, 8, 8, 2, 8, 8, 8, 7, 7, 7, 8, 8, 2, 2, 2, 8, 8, 5, 8, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 7, 8, 8, 8, 8, 8, 2, 8, 8, 8, 5, 5, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 8, 8, 8, 8, 8, 7, 8, 8, 9, 8, 9, 8, 8],
[8, 8, 8, 2, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 7, 8, 8, 9, 9, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 0, 8, 0, 8, 8, 7, 7, 7, 8, 8, 9, 9, 9, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 7, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 7, 7, 8, 8, 8, 1, 8, 8, 8, 8, 8, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 7, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 8, 8, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 8, 4, 8, 4, 8, 8, 2, 2, 2, 8, 8, 5, 8, 8, 8, 8, 1, 1, 8, 8, 8],
[8, 8, 4, 4, 4, 8, 8, 8, 2, 8, 8, 8, 5, 5, 8, 8, 8, 1, 8, 1, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 9, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 9, 9, 9, 8, 8, 6, 8, 6, 8, 8, 4, 4, 4, 8, 8, 2, 8, 2, 8, 8],
[8, 8, 8, 8, 9, 8, 8, 6, 8, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]
],
"output": [
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 7, 8, 8, 8, 8, 2, 2, 8, 8, 8, 5, 5, 8, 8, 8],
[8, 8, 8, 2, 8, 8, 8, 7, 7, 7, 8, 8, 2, 2, 2, 8, 8, 5, 8, 8, 8, 8],
[8, 8, 2, 8, 2, 8, 8, 7, 8, 8, 8, 8, 8, 2, 8, 8, 8, 5, 5, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 3, 2, 3, 2, 3, 8, 0, 8, 8, 8, 8, 8, 8, 7, 8, 8, 9, 8, 9, 8, 8],
[8, 3, 3, 2, 3, 3, 8, 0, 0, 0, 8, 8, 8, 8, 7, 8, 8, 9, 9, 8, 8, 8],
[8, 3, 2, 3, 2, 3, 8, 0, 8, 0, 8, 8, 7, 7, 7, 8, 8, 9, 9, 9, 8, 8],
[8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 3, 7, 3, 3, 3, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 3, 7, 7, 7, 3, 8, 8, 1, 8, 8, 8, 8, 8, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 3, 7, 3, 3, 3, 8, 1, 1, 1, 8, 8, 8, 6, 6, 8, 8, 0, 0, 0, 8, 8],
[8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8],
[8, 8, 4, 8, 4, 8, 3, 2, 2, 3, 3, 3, 5, 5, 3, 3, 8, 1, 8, 1, 8, 8],
[8, 8, 4, 8, 4, 8, 3, 2, 2, 2, 3, 3, 5, 3, 3, 3, 8, 1, 1, 8, 8, 8],
[8, 8, 4, 4, 4, 8, 3, 3, 2, 3, 3, 3, 5, 5, 3, 3, 8, 1, 8, 1, 8, 8],
[8, 8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[8, 8, 9, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 9, 9, 9, 8, 8, 6, 8, 6, 8, 8, 4, 4, 4, 8, 8, 2, 8, 2, 8, 8],
[8, 8, 8, 8, 9, 8, 8, 6, 8, 6, 8, 8, 8, 4, 8, 8, 8, 2, 2, 2, 8, 8],
[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],
[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]
]
}
]
}

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@ -4,14 +4,14 @@ This repository contains the ARC-AGI-2 task data (ARC-AGI-1 can be found [here](
*"ARC can be seen as a general artificial intelligence benchmark, as a program synthesis benchmark, or as a psychometric intelligence test. It is targeted at both humans and artificially intelligent systems that aim at emulating a human-like form of general fluid intelligence."*
A foundational description of the dataset, its goals, and its underlying logic, can be found in: [On the Measure of Intelligence](https://arxiv.org/abs/1911.01547) and the [ARC-AGI-2 Presentation](https://docs.google.com/presentation/d/1hQrGh5YI6MK3PalQYSQs4CQERrYBQZue8PBLjjHIMgI/edit?usp=sharing)
A foundational description of the dataset, its goals, and its underlying logic, can be found in: [On the Measure of Intelligence](https://arxiv.org/abs/1911.01547), the [ARC-AGI-2 Presentation](https://docs.google.com/presentation/d/1hQrGh5YI6MK3PalQYSQs4CQERrYBQZue8PBLjjHIMgI/edit?usp=sharing) and [ARC-AGI-2 Technical Report](http://arcprize.org/blog/arc-agi-2-technical-report)
## Dataset composition
ARC-AGI-2 contains 1,000 training tasks and 120 public evaluation tasks.
ARC-AGI-2 contains 1,000 public training tasks and 120 public evaluation tasks.
The training tasks are intended to demonstrate the task format and the Core Knowledge priors used by ARC-AGI. They can be used for training AI models.
The public evaluation tasks are intended for testing AI models that have never seen these tasks before. Average human performance on these tasks in our test sample was 60%.
The public evaluation tasks are intended for testing AI models that have never seen these tasks before. Average human performance on these tasks in our test sample was 66%.
ARC-AGI-2 also features two private test sets not included in the repo:
@ -48,7 +48,7 @@ When looking at a task, a test-taker has access to inputs & outputs of the demon
## Usage of the testing interface
You can view tasks on [ARCPrize.org/play](https://arcprize.org/play) or clone the [ARC-AGI testing interface](https://github.com/fchollet/ARC-AGI/tree/master/apps) located at `apps/testing_interface.html`. Open it in a web browser (Chrome recommended). It will prompt you to select a task JSON file.
You can view tasks on [ARCPrize.org/play](https://arcprize.org/play) or clone the [ARC-AGI-1 testing interface](https://github.com/fchollet/ARC-AGI/tree/master/apps). Open it in a web browser (Chrome recommended). It will prompt you to select a task JSON file.
After loading a task, you will enter the test space, which looks like this: