puzzle listlengths 9 9 | solution listlengths 9 9 | difficulty stringclasses 5
values |
|---|---|---|
[
[
6,
9,
0,
0,
0,
0,
0,
1,
3
],
[
0,
0,
2,
0,
9,
0,
0,
7,
0
],
[
4,
0,
0,
0,
0,
3,
0,
0,
0
],
[
9,
0,
0,
0,
0,
0,
3,
4,
5
],
[
1,
0,
0,
0,
... | [
[
6,
9,
7,
5,
4,
8,
2,
1,
3
],
[
8,
3,
2,
1,
9,
6,
5,
7,
4
],
[
4,
1,
5,
2,
7,
3,
9,
6,
8
],
[
9,
2,
6,
7,
8,
1,
3,
4,
5
],
[
1,
8,
4,
9,
... | very_easy |
[
[
9,
0,
0,
1,
0,
8,
0,
7,
6
],
[
0,
8,
0,
0,
5,
0,
2,
1,
0
],
[
0,
1,
0,
6,
0,
0,
0,
0,
0
],
[
0,
0,
0,
4,
9,
0,
0,
6,
7
],
[
6,
0,
0,
0,
... | [
[
9,
3,
5,
1,
2,
8,
4,
7,
6
],
[
7,
8,
6,
9,
5,
4,
2,
1,
3
],
[
2,
1,
4,
6,
7,
3,
8,
5,
9
],
[
8,
5,
1,
4,
9,
2,
3,
6,
7
],
[
6,
4,
2,
3,
... | very_easy |
[
[
0,
0,
0,
0,
0,
1,
3,
0,
2
],
[
0,
0,
8,
5,
0,
4,
7,
6,
0
],
[
5,
0,
7,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
3,
8,
4,
0,
0
],
[
0,
3,
4,
0,
... | [
[
4,
9,
6,
7,
8,
1,
3,
5,
2
],
[
3,
2,
8,
5,
9,
4,
7,
6,
1
],
[
5,
1,
7,
3,
6,
2,
9,
8,
4
],
[
1,
5,
2,
6,
3,
8,
4,
9,
7
],
[
7,
3,
4,
9,
... | very_easy |
[
[
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
0,
0,
8,
9,
0,
2,
0,
0,
5
],
[
3,
0,
2,
4,
0,
0,
0,
0,
0
],
[
8,
0,
0,
7,
0,
0,
2,
0,
0
],
[
0,
0,
0,
8,
... | [
[
1,
9,
4,
6,
5,
7,
3,
2,
8
],
[
7,
6,
8,
9,
3,
2,
4,
1,
5
],
[
3,
5,
2,
4,
1,
8,
9,
6,
7
],
[
8,
3,
5,
7,
6,
9,
2,
4,
1
],
[
4,
1,
6,
8,
... | very_easy |
[
[
0,
4,
9,
0,
0,
7,
8,
0,
0
],
[
0,
6,
7,
4,
3,
0,
1,
0,
0
],
[
0,
0,
1,
0,
8,
5,
6,
0,
0
],
[
0,
0,
0,
2,
9,
0,
5,
3,
0
],
[
0,
0,
0,
0,
... | [
[
5,
4,
9,
1,
6,
7,
8,
2,
3
],
[
8,
6,
7,
4,
3,
2,
1,
5,
9
],
[
3,
2,
1,
9,
8,
5,
6,
4,
7
],
[
4,
7,
6,
2,
9,
1,
5,
3,
8
],
[
2,
5,
8,
3,
... | very_easy |
[
[
2,
0,
9,
0,
0,
0,
0,
8,
0
],
[
5,
0,
7,
0,
6,
4,
0,
0,
2
],
[
0,
4,
0,
0,
9,
2,
0,
0,
0
],
[
0,
9,
0,
0,
0,
0,
2,
5,
0
],
[
4,
0,
1,
0,
... | [
[
2,
6,
9,
3,
1,
7,
4,
8,
5
],
[
5,
1,
7,
8,
6,
4,
9,
3,
2
],
[
8,
4,
3,
5,
9,
2,
6,
1,
7
],
[
3,
9,
6,
7,
4,
8,
2,
5,
1
],
[
4,
8,
1,
2,
... | very_easy |
[
[
0,
0,
0,
0,
0,
7,
0,
0,
6
],
[
0,
4,
0,
0,
5,
0,
3,
7,
9
],
[
7,
0,
0,
0,
0,
0,
5,
2,
0
],
[
0,
6,
1,
0,
0,
0,
4,
5,
0
],
[
0,
7,
4,
1,
... | [
[
8,
5,
9,
3,
2,
7,
1,
4,
6
],
[
6,
4,
2,
8,
5,
1,
3,
7,
9
],
[
7,
1,
3,
4,
6,
9,
5,
2,
8
],
[
3,
6,
1,
2,
9,
8,
4,
5,
7
],
[
5,
7,
4,
1,
... | very_easy |
[
[
0,
5,
0,
6,
0,
0,
7,
0,
2
],
[
0,
0,
0,
5,
0,
0,
0,
1,
0
],
[
1,
0,
0,
3,
0,
2,
0,
0,
4
],
[
0,
6,
1,
0,
5,
8,
4,
0,
0
],
[
0,
4,
0,
2,
... | [
[
8,
5,
4,
6,
9,
1,
7,
3,
2
],
[
3,
2,
7,
5,
8,
4,
9,
1,
6
],
[
1,
9,
6,
3,
7,
2,
5,
8,
4
],
[
2,
6,
1,
9,
5,
8,
4,
7,
3
],
[
7,
4,
8,
2,
... | very_easy |
[
[
7,
6,
9,
0,
0,
0,
0,
0,
0
],
[
5,
0,
3,
4,
0,
1,
9,
7,
6
],
[
0,
1,
4,
7,
6,
9,
0,
0,
5
],
[
1,
0,
5,
2,
7,
0,
0,
3,
9
],
[
0,
0,
6,
1,
... | [
[
7,
6,
9,
5,
3,
2,
8,
4,
1
],
[
5,
2,
3,
4,
8,
1,
9,
7,
6
],
[
8,
1,
4,
7,
6,
9,
3,
2,
5
],
[
1,
4,
5,
2,
7,
8,
6,
3,
9
],
[
2,
8,
6,
1,
... | very_easy |
[
[
0,
0,
2,
0,
9,
4,
0,
0,
7
],
[
8,
7,
0,
1,
0,
0,
0,
6,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
3
],
[
0,
8,
0,
4,
0,
5,
0,
0,
2
],
[
2,
0,
0,
0,
... | [
[
1,
3,
2,
6,
9,
4,
5,
8,
7
],
[
8,
7,
5,
1,
2,
3,
9,
6,
4
],
[
4,
6,
9,
5,
7,
8,
1,
2,
3
],
[
3,
8,
7,
4,
1,
5,
6,
9,
2
],
[
2,
1,
6,
9,
... | very_easy |
[
[
3,
1,
0,
0,
2,
4,
0,
7,
0
],
[
0,
0,
7,
9,
0,
5,
1,
0,
2
],
[
2,
0,
0,
0,
0,
0,
0,
9,
3
],
[
0,
0,
0,
3,
0,
0,
7,
0,
6
],
[
0,
2,
0,
0,
... | [
[
3,
1,
9,
6,
2,
4,
8,
7,
5
],
[
4,
8,
7,
9,
3,
5,
1,
6,
2
],
[
2,
5,
6,
1,
7,
8,
4,
9,
3
],
[
5,
9,
8,
3,
1,
2,
7,
4,
6
],
[
7,
2,
1,
4,
... | very_easy |
[
[
3,
0,
0,
9,
0,
0,
8,
7,
0
],
[
0,
0,
5,
0,
4,
0,
0,
0,
0
],
[
1,
0,
0,
0,
3,
8,
4,
0,
0
],
[
8,
4,
0,
0,
0,
1,
9,
0,
0
],
[
0,
3,
2,
0,
... | [
[
3,
2,
4,
9,
1,
5,
8,
7,
6
],
[
6,
8,
5,
2,
4,
7,
1,
9,
3
],
[
1,
9,
7,
6,
3,
8,
4,
5,
2
],
[
8,
4,
6,
5,
2,
1,
9,
3,
7
],
[
5,
3,
2,
7,
... | very_easy |
[
[
7,
0,
1,
9,
0,
8,
0,
0,
0
],
[
0,
8,
0,
0,
3,
4,
0,
0,
9
],
[
0,
9,
0,
0,
2,
5,
6,
0,
0
],
[
1,
6,
7,
2,
0,
0,
3,
0,
0
],
[
3,
0,
0,
6,
... | [
[
7,
5,
1,
9,
6,
8,
4,
3,
2
],
[
6,
8,
2,
7,
3,
4,
1,
5,
9
],
[
4,
9,
3,
1,
2,
5,
6,
8,
7
],
[
1,
6,
7,
2,
5,
9,
3,
4,
8
],
[
3,
4,
9,
6,
... | very_easy |
[
[
0,
0,
2,
7,
0,
4,
8,
0,
0
],
[
4,
0,
9,
0,
5,
0,
0,
0,
0
],
[
0,
7,
5,
9,
0,
0,
0,
0,
1
],
[
2,
5,
7,
0,
4,
1,
9,
0,
8
],
[
0,
0,
8,
2,
... | [
[
3,
6,
2,
7,
1,
4,
8,
5,
9
],
[
4,
1,
9,
8,
5,
3,
2,
6,
7
],
[
8,
7,
5,
9,
2,
6,
3,
4,
1
],
[
2,
5,
7,
6,
4,
1,
9,
3,
8
],
[
1,
4,
8,
2,
... | very_easy |
[
[
0,
0,
0,
0,
1,
0,
0,
6,
0
],
[
2,
3,
0,
0,
6,
7,
8,
0,
0
],
[
1,
7,
0,
4,
0,
0,
5,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
... | [
[
5,
4,
8,
2,
1,
3,
9,
6,
7
],
[
2,
3,
9,
5,
6,
7,
8,
1,
4
],
[
1,
7,
6,
4,
9,
8,
5,
3,
2
],
[
8,
2,
1,
9,
4,
5,
6,
7,
3
],
[
4,
6,
7,
3,
... | very_easy |
[
[
0,
0,
0,
0,
5,
6,
4,
0,
2
],
[
8,
0,
0,
3,
0,
4,
0,
0,
5
],
[
4,
0,
0,
2,
0,
8,
3,
7,
0
],
[
0,
1,
8,
0,
0,
2,
7,
0,
9
],
[
3,
0,
2,
0,
... | [
[
9,
3,
1,
7,
5,
6,
4,
8,
2
],
[
8,
2,
7,
3,
1,
4,
6,
9,
5
],
[
4,
5,
6,
2,
9,
8,
3,
7,
1
],
[
5,
1,
8,
6,
4,
2,
7,
3,
9
],
[
3,
6,
2,
9,
... | very_easy |
[
[
0,
0,
1,
0,
0,
0,
0,
7,
0
],
[
6,
5,
4,
0,
0,
1,
2,
0,
0
],
[
9,
0,
0,
0,
0,
2,
1,
0,
4
],
[
0,
0,
0,
0,
2,
9,
0,
0,
0
],
[
0,
0,
0,
6,
... | [
[
8,
2,
1,
4,
9,
5,
6,
7,
3
],
[
6,
5,
4,
3,
7,
1,
2,
8,
9
],
[
9,
3,
7,
8,
6,
2,
1,
5,
4
],
[
7,
4,
3,
1,
2,
9,
5,
6,
8
],
[
5,
8,
9,
6,
... | very_easy |
[
[
0,
3,
8,
0,
0,
0,
0,
0,
0
],
[
2,
0,
9,
8,
5,
0,
0,
0,
3
],
[
0,
0,
1,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
1,
0,
0,
8,
0,
2
],
[
0,
0,
0,
2,
... | [
[
4,
3,
8,
6,
1,
9,
5,
2,
7
],
[
2,
7,
9,
8,
5,
4,
1,
6,
3
],
[
5,
6,
1,
7,
3,
2,
9,
8,
4
],
[
9,
4,
5,
1,
7,
6,
8,
3,
2
],
[
7,
1,
3,
2,
... | very_easy |
[
[
3,
0,
1,
4,
0,
7,
0,
0,
0
],
[
2,
0,
9,
8,
3,
1,
0,
0,
4
],
[
0,
0,
0,
6,
0,
0,
0,
0,
0
],
[
0,
2,
8,
3,
0,
5,
4,
0,
0
],
[
0,
7,
0,
0,
... | [
[
3,
8,
1,
4,
5,
7,
2,
9,
6
],
[
2,
6,
9,
8,
3,
1,
7,
5,
4
],
[
7,
4,
5,
6,
2,
9,
3,
1,
8
],
[
1,
2,
8,
3,
9,
5,
4,
6,
7
],
[
9,
7,
3,
2,
... | very_easy |
[
[
8,
0,
0,
0,
5,
9,
0,
2,
0
],
[
5,
0,
0,
2,
0,
6,
8,
0,
0
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
9,
5,
0,
2,
0,
4,
0,
0
],
[
0,
3,
0,
0,
... | [
[
8,
6,
4,
1,
5,
9,
7,
2,
3
],
[
5,
7,
9,
2,
3,
6,
8,
4,
1
],
[
3,
2,
1,
7,
8,
4,
6,
9,
5
],
[
6,
9,
5,
3,
2,
1,
4,
7,
8
],
[
2,
3,
8,
6,
... | very_easy |
[
[
0,
0,
0,
0,
0,
3,
0,
7,
0
],
[
8,
5,
0,
0,
0,
0,
9,
0,
0
],
[
0,
0,
0,
6,
0,
0,
0,
3,
1
],
[
0,
1,
0,
5,
0,
4,
0,
0,
6
],
[
0,
3,
0,
0,
... | [
[
6,
2,
1,
9,
5,
3,
8,
7,
4
],
[
8,
5,
3,
4,
7,
1,
9,
6,
2
],
[
7,
9,
4,
6,
2,
8,
5,
3,
1
],
[
9,
1,
7,
5,
3,
4,
2,
8,
6
],
[
5,
3,
8,
2,
... | very_easy |
[
[
0,
0,
0,
3,
0,
9,
4,
1,
0
],
[
9,
8,
4,
0,
0,
0,
0,
0,
3
],
[
0,
0,
1,
0,
0,
0,
6,
7,
0
],
[
0,
0,
5,
6,
0,
8,
0,
0,
0
],
[
0,
0,
0,
0,
... | [
[
7,
5,
6,
3,
2,
9,
4,
1,
8
],
[
9,
8,
4,
1,
6,
7,
5,
2,
3
],
[
3,
2,
1,
8,
4,
5,
6,
7,
9
],
[
1,
3,
5,
6,
7,
8,
2,
9,
4
],
[
4,
7,
2,
5,
... | very_easy |
[
[
0,
0,
2,
8,
6,
0,
1,
9,
0
],
[
0,
0,
0,
0,
0,
1,
0,
8,
5
],
[
0,
1,
0,
9,
0,
2,
0,
0,
0
],
[
5,
0,
0,
1,
0,
0,
0,
3,
0
],
[
3,
0,
0,
6,
... | [
[
7,
5,
2,
8,
6,
4,
1,
9,
3
],
[
4,
6,
9,
7,
3,
1,
2,
8,
5
],
[
8,
1,
3,
9,
5,
2,
4,
6,
7
],
[
5,
2,
4,
1,
8,
7,
6,
3,
9
],
[
3,
7,
1,
6,
... | very_easy |
[
[
0,
3,
8,
7,
0,
9,
5,
0,
0
],
[
5,
0,
0,
0,
8,
0,
0,
0,
3
],
[
0,
0,
0,
3,
0,
0,
0,
8,
9
],
[
8,
0,
3,
0,
7,
0,
0,
0,
0
],
[
0,
5,
0,
0,
... | [
[
1,
3,
8,
7,
4,
9,
5,
6,
2
],
[
5,
6,
9,
1,
8,
2,
4,
7,
3
],
[
7,
4,
2,
3,
6,
5,
1,
8,
9
],
[
8,
1,
3,
2,
7,
4,
9,
5,
6
],
[
4,
5,
7,
6,
... | very_easy |
[
[
0,
3,
1,
0,
0,
7,
2,
0,
0
],
[
0,
4,
0,
0,
0,
5,
7,
0,
6
],
[
7,
0,
8,
0,
0,
0,
9,
0,
1
],
[
0,
0,
0,
0,
2,
0,
0,
1,
0
],
[
0,
0,
2,
0,
... | [
[
6,
3,
1,
8,
9,
7,
2,
5,
4
],
[
2,
4,
9,
3,
1,
5,
7,
8,
6
],
[
7,
5,
8,
6,
4,
2,
9,
3,
1
],
[
4,
9,
6,
7,
2,
8,
3,
1,
5
],
[
8,
1,
2,
5,
... | very_easy |
[
[
5,
0,
1,
0,
0,
0,
0,
0,
0
],
[
4,
0,
0,
0,
5,
7,
2,
0,
6
],
[
2,
0,
0,
0,
1,
0,
0,
0,
3
],
[
0,
0,
9,
0,
0,
3,
4,
0,
0
],
[
0,
4,
0,
8,
... | [
[
5,
3,
1,
2,
9,
6,
8,
4,
7
],
[
4,
9,
8,
3,
5,
7,
2,
1,
6
],
[
2,
7,
6,
4,
1,
8,
9,
5,
3
],
[
1,
2,
9,
5,
6,
3,
4,
7,
8
],
[
6,
4,
3,
8,
... | very_easy |
[
[
0,
6,
0,
0,
0,
1,
0,
0,
0
],
[
0,
0,
4,
7,
9,
5,
6,
0,
0
],
[
7,
0,
0,
3,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
6,
0,
9,
1
],
[
0,
8,
9,
5,
... | [
[
5,
6,
3,
4,
2,
1,
7,
8,
9
],
[
8,
1,
4,
7,
9,
5,
6,
2,
3
],
[
7,
9,
2,
3,
6,
8,
5,
1,
4
],
[
2,
7,
5,
8,
4,
6,
3,
9,
1
],
[
1,
8,
9,
5,
... | very_easy |
[
[
2,
6,
0,
0,
0,
0,
0,
8,
9
],
[
4,
0,
0,
0,
0,
1,
0,
5,
7
],
[
0,
0,
7,
0,
3,
0,
0,
0,
2
],
[
0,
7,
0,
0,
4,
0,
0,
6,
3
],
[
3,
8,
2,
0,
... | [
[
2,
6,
1,
4,
5,
7,
3,
8,
9
],
[
4,
3,
8,
2,
9,
1,
6,
5,
7
],
[
5,
9,
7,
8,
3,
6,
1,
4,
2
],
[
9,
7,
5,
1,
4,
2,
8,
6,
3
],
[
3,
8,
2,
9,
... | very_easy |
[
[
0,
5,
0,
0,
0,
0,
7,
2,
0
],
[
4,
1,
7,
3,
0,
0,
6,
8,
0
],
[
6,
0,
9,
0,
0,
4,
0,
0,
3
],
[
0,
3,
0,
0,
9,
2,
8,
0,
5
],
[
0,
8,
5,
0,
... | [
[
8,
5,
3,
9,
1,
6,
7,
2,
4
],
[
4,
1,
7,
3,
2,
5,
6,
8,
9
],
[
6,
2,
9,
8,
7,
4,
1,
5,
3
],
[
7,
3,
6,
4,
9,
2,
8,
1,
5
],
[
2,
8,
5,
1,
... | very_easy |
[
[
9,
0,
0,
0,
0,
0,
7,
0,
0
],
[
0,
0,
0,
9,
0,
0,
1,
2,
6
],
[
6,
2,
7,
0,
8,
0,
0,
0,
5
],
[
2,
0,
6,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
... | [
[
9,
5,
1,
2,
6,
3,
7,
8,
4
],
[
3,
8,
4,
9,
7,
5,
1,
2,
6
],
[
6,
2,
7,
4,
8,
1,
9,
3,
5
],
[
2,
1,
6,
5,
4,
9,
8,
7,
3
],
[
4,
7,
9,
1,
... | very_easy |
[
[
0,
0,
0,
0,
0,
0,
4,
0,
7
],
[
3,
0,
4,
9,
5,
6,
0,
0,
0
],
[
0,
0,
2,
0,
0,
0,
9,
3,
6
],
[
6,
0,
1,
0,
0,
7,
0,
0,
0
],
[
4,
0,
0,
3,
... | [
[
9,
6,
8,
2,
1,
3,
4,
5,
7
],
[
3,
7,
4,
9,
5,
6,
2,
1,
8
],
[
1,
5,
2,
8,
7,
4,
9,
3,
6
],
[
6,
2,
1,
4,
9,
7,
5,
8,
3
],
[
4,
8,
5,
3,
... | very_easy |
[
[
0,
6,
5,
0,
0,
0,
9,
0,
7
],
[
9,
0,
0,
4,
0,
0,
0,
0,
0
],
[
3,
7,
4,
0,
0,
0,
5,
2,
0
],
[
0,
1,
0,
9,
0,
0,
7,
5,
0
],
[
5,
0,
9,
0,
... | [
[
1,
6,
5,
2,
8,
3,
9,
4,
7
],
[
9,
2,
8,
4,
5,
7,
1,
6,
3
],
[
3,
7,
4,
6,
9,
1,
5,
2,
8
],
[
6,
1,
3,
9,
2,
8,
7,
5,
4
],
[
5,
4,
9,
3,
... | very_easy |
[
[
0,
6,
9,
0,
4,
0,
0,
0,
2
],
[
2,
0,
8,
0,
1,
0,
9,
0,
0
],
[
0,
0,
4,
5,
0,
0,
0,
0,
7
],
[
0,
8,
0,
0,
0,
1,
6,
2,
5
],
[
0,
0,
0,
2,
... | [
[
5,
6,
9,
7,
4,
8,
1,
3,
2
],
[
2,
7,
8,
6,
1,
3,
9,
5,
4
],
[
1,
3,
4,
5,
2,
9,
8,
6,
7
],
[
3,
8,
7,
4,
9,
1,
6,
2,
5
],
[
6,
9,
1,
2,
... | very_easy |
[
[
9,
0,
1,
2,
0,
4,
0,
0,
6
],
[
0,
0,
0,
5,
0,
0,
0,
2,
0
],
[
2,
7,
5,
0,
3,
0,
0,
8,
0
],
[
0,
0,
4,
9,
0,
0,
0,
3,
0
],
[
1,
0,
0,
0,
... | [
[
9,
3,
1,
2,
8,
4,
5,
7,
6
],
[
6,
4,
8,
5,
1,
7,
3,
2,
9
],
[
2,
7,
5,
6,
3,
9,
4,
8,
1
],
[
5,
8,
4,
9,
6,
2,
1,
3,
7
],
[
1,
2,
3,
7,
... | very_easy |
[
[
0,
0,
0,
0,
0,
8,
0,
0,
7
],
[
0,
4,
6,
3,
0,
0,
0,
0,
2
],
[
8,
2,
3,
0,
0,
0,
0,
0,
5
],
[
0,
0,
0,
0,
1,
0,
0,
9,
3
],
[
5,
3,
4,
0,
... | [
[
1,
9,
5,
2,
4,
8,
6,
3,
7
],
[
7,
4,
6,
3,
5,
9,
8,
1,
2
],
[
8,
2,
3,
1,
6,
7,
9,
4,
5
],
[
6,
8,
7,
5,
1,
4,
2,
9,
3
],
[
5,
3,
4,
9,
... | very_easy |
[
[
0,
0,
0,
0,
3,
0,
8,
4,
2
],
[
0,
0,
4,
0,
0,
9,
0,
7,
3
],
[
0,
6,
3,
8,
2,
0,
5,
0,
0
],
[
9,
0,
0,
0,
0,
0,
0,
5,
0
],
[
8,
0,
0,
9,
... | [
[
1,
9,
5,
6,
3,
7,
8,
4,
2
],
[
2,
8,
4,
1,
5,
9,
6,
7,
3
],
[
7,
6,
3,
8,
2,
4,
5,
1,
9
],
[
9,
7,
2,
3,
6,
8,
4,
5,
1
],
[
8,
3,
1,
9,
... | very_easy |
[
[
3,
0,
0,
0,
0,
0,
8,
0,
0
],
[
0,
0,
0,
0,
0,
7,
0,
2,
0
],
[
0,
0,
0,
0,
0,
6,
0,
0,
5
],
[
8,
6,
9,
2,
0,
0,
0,
0,
3
],
[
0,
1,
0,
0,
... | [
[
3,
5,
6,
4,
2,
9,
8,
7,
1
],
[
1,
9,
8,
5,
3,
7,
4,
2,
6
],
[
7,
2,
4,
1,
8,
6,
9,
3,
5
],
[
8,
6,
9,
2,
7,
4,
1,
5,
3
],
[
5,
1,
3,
6,
... | very_easy |
[
[
0,
0,
0,
5,
8,
3,
6,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
1,
2,
6,
3,
0,
0
],
[
0,
0,
0,
0,
6,
0,
8,
0,
9
],
[
0,
0,
0,
8,
... | [
[
4,
9,
1,
5,
8,
3,
6,
7,
2
],
[
2,
3,
6,
7,
4,
9,
1,
8,
5
],
[
5,
8,
7,
1,
2,
6,
3,
9,
4
],
[
3,
5,
4,
2,
6,
7,
8,
1,
9
],
[
9,
6,
2,
8,
... | very_easy |
[
[
0,
0,
0,
4,
2,
5,
9,
0,
0
],
[
0,
3,
0,
0,
0,
0,
0,
5,
0
],
[
5,
0,
2,
0,
0,
0,
4,
7,
1
],
[
0,
0,
0,
5,
0,
7,
0,
4,
9
],
[
9,
0,
0,
6,
... | [
[
7,
8,
1,
4,
2,
5,
9,
3,
6
],
[
6,
3,
4,
7,
9,
1,
2,
5,
8
],
[
5,
9,
2,
3,
6,
8,
4,
7,
1
],
[
3,
2,
8,
5,
1,
7,
6,
4,
9
],
[
9,
1,
5,
6,
... | very_easy |
[
[
0,
0,
0,
5,
0,
0,
7,
0,
0
],
[
0,
6,
0,
1,
9,
0,
0,
0,
0
],
[
9,
2,
0,
0,
7,
4,
0,
6,
0
],
[
4,
1,
9,
0,
0,
6,
8,
0,
0
],
[
8,
0,
3,
0,
... | [
[
1,
3,
4,
5,
6,
2,
7,
8,
9
],
[
7,
6,
8,
1,
9,
3,
4,
2,
5
],
[
9,
2,
5,
8,
7,
4,
3,
6,
1
],
[
4,
1,
9,
7,
2,
6,
8,
5,
3
],
[
8,
7,
3,
9,
... | very_easy |
[
[
0,
0,
0,
0,
6,
7,
9,
0,
8
],
[
0,
0,
0,
4,
0,
8,
1,
7,
0
],
[
3,
0,
0,
0,
0,
0,
0,
0,
0
],
[
8,
4,
0,
7,
0,
0,
3,
0,
1
],
[
0,
6,
0,
5,
... | [
[
5,
1,
4,
3,
6,
7,
9,
2,
8
],
[
6,
2,
9,
4,
5,
8,
1,
7,
3
],
[
3,
8,
7,
9,
2,
1,
5,
6,
4
],
[
8,
4,
2,
7,
9,
6,
3,
5,
1
],
[
1,
6,
3,
5,
... | very_easy |
[
[
9,
7,
1,
0,
0,
3,
0,
2,
5
],
[
6,
5,
3,
0,
0,
0,
7,
9,
4
],
[
0,
4,
8,
0,
9,
0,
1,
3,
6
],
[
1,
0,
6,
9,
5,
8,
0,
0,
0
],
[
0,
8,
0,
0,
... | [
[
9,
7,
1,
4,
6,
3,
8,
2,
5
],
[
6,
5,
3,
8,
1,
2,
7,
9,
4
],
[
2,
4,
8,
5,
9,
7,
1,
3,
6
],
[
1,
3,
6,
9,
5,
8,
2,
4,
7
],
[
5,
8,
7,
2,
... | very_easy |
[
[
0,
0,
0,
0,
6,
0,
0,
0,
4
],
[
9,
6,
0,
0,
0,
3,
8,
0,
0
],
[
1,
0,
4,
0,
0,
0,
6,
2,
9
],
[
0,
0,
8,
9,
2,
0,
5,
7,
3
],
[
0,
0,
0,
0,
... | [
[
8,
2,
5,
1,
6,
9,
7,
3,
4
],
[
9,
6,
7,
2,
4,
3,
8,
5,
1
],
[
1,
3,
4,
8,
7,
5,
6,
2,
9
],
[
4,
1,
8,
9,
2,
6,
5,
7,
3
],
[
5,
7,
3,
4,
... | very_easy |
[
[
0,
0,
1,
9,
0,
0,
0,
0,
5
],
[
0,
0,
6,
0,
4,
8,
0,
9,
1
],
[
4,
0,
0,
5,
2,
0,
7,
0,
0
],
[
0,
2,
0,
0,
0,
0,
0,
5,
8
],
[
0,
0,
0,
0,
... | [
[
2,
3,
1,
9,
7,
6,
4,
8,
5
],
[
7,
5,
6,
3,
4,
8,
2,
9,
1
],
[
4,
9,
8,
5,
2,
1,
7,
6,
3
],
[
9,
2,
4,
1,
3,
7,
6,
5,
8
],
[
3,
6,
7,
8,
... | very_easy |
[
[
3,
8,
7,
0,
4,
0,
0,
0,
0
],
[
6,
4,
0,
0,
0,
0,
5,
3,
0
],
[
5,
1,
2,
7,
3,
0,
4,
0,
8
],
[
0,
0,
0,
0,
7,
0,
0,
2,
4
],
[
0,
0,
0,
6,
... | [
[
3,
8,
7,
5,
4,
9,
2,
1,
6
],
[
6,
4,
9,
1,
2,
8,
5,
3,
7
],
[
5,
1,
2,
7,
3,
6,
4,
9,
8
],
[
8,
5,
3,
9,
7,
1,
6,
2,
4
],
[
4,
9,
1,
6,
... | very_easy |
[
[
1,
0,
6,
2,
0,
9,
0,
0,
0
],
[
3,
0,
0,
0,
0,
0,
0,
0,
9
],
[
0,
0,
5,
0,
4,
0,
6,
1,
0
],
[
0,
8,
3,
6,
0,
0,
0,
2,
0
],
[
0,
0,
7,
4,
... | [
[
1,
4,
6,
2,
8,
9,
7,
5,
3
],
[
3,
7,
8,
5,
1,
6,
2,
4,
9
],
[
9,
2,
5,
3,
4,
7,
6,
1,
8
],
[
4,
8,
3,
6,
9,
5,
1,
2,
7
],
[
5,
1,
7,
4,
... | very_easy |
[
[
0,
0,
8,
0,
0,
0,
0,
0,
6
],
[
2,
0,
0,
6,
0,
5,
0,
0,
0
],
[
0,
1,
6,
9,
0,
0,
2,
0,
0
],
[
6,
2,
0,
0,
0,
7,
0,
0,
0
],
[
0,
0,
0,
8,
... | [
[
5,
9,
8,
7,
2,
1,
3,
4,
6
],
[
2,
4,
3,
6,
8,
5,
9,
7,
1
],
[
7,
1,
6,
9,
3,
4,
2,
5,
8
],
[
6,
2,
9,
3,
4,
7,
8,
1,
5
],
[
1,
5,
7,
8,
... | very_easy |
[
[
9,
0,
0,
3,
4,
0,
6,
0,
5
],
[
0,
1,
6,
0,
2,
5,
7,
0,
0
],
[
0,
5,
3,
6,
7,
0,
8,
0,
2
],
[
7,
0,
0,
0,
0,
0,
2,
0,
0
],
[
5,
3,
8,
0,
... | [
[
9,
2,
7,
3,
4,
8,
6,
1,
5
],
[
8,
1,
6,
9,
2,
5,
7,
3,
4
],
[
4,
5,
3,
6,
7,
1,
8,
9,
2
],
[
7,
4,
1,
5,
9,
3,
2,
6,
8
],
[
5,
3,
8,
4,
... | very_easy |
[
[
9,
0,
0,
8,
0,
1,
6,
7,
0
],
[
0,
1,
3,
7,
0,
5,
0,
0,
9
],
[
6,
0,
7,
0,
2,
4,
0,
0,
3
],
[
0,
2,
0,
0,
1,
0,
0,
0,
0
],
[
3,
0,
0,
0,
... | [
[
9,
4,
2,
8,
3,
1,
6,
7,
5
],
[
8,
1,
3,
7,
6,
5,
4,
2,
9
],
[
6,
5,
7,
9,
2,
4,
1,
8,
3
],
[
4,
2,
9,
3,
1,
7,
5,
6,
8
],
[
3,
6,
8,
4,
... | very_easy |
[
[
7,
8,
0,
9,
0,
5,
0,
3,
4
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
3,
0,
0,
8,
0,
0,
1,
0,
9
],
[
8,
0,
7,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
6,
... | [
[
7,
8,
6,
9,
1,
5,
2,
3,
4
],
[
5,
9,
1,
3,
2,
4,
7,
8,
6
],
[
3,
2,
4,
8,
7,
6,
1,
5,
9
],
[
8,
6,
7,
5,
4,
1,
9,
2,
3
],
[
1,
5,
3,
6,
... | very_easy |
[
[
4,
3,
0,
0,
0,
0,
0,
5,
0
],
[
0,
8,
0,
5,
0,
7,
2,
0,
1
],
[
2,
0,
7,
0,
0,
1,
0,
9,
6
],
[
7,
0,
2,
0,
5,
0,
1,
3,
9
],
[
8,
1,
5,
0,
... | [
[
4,
3,
1,
9,
6,
2,
7,
5,
8
],
[
9,
8,
6,
5,
3,
7,
2,
4,
1
],
[
2,
5,
7,
4,
8,
1,
3,
9,
6
],
[
7,
4,
2,
8,
5,
6,
1,
3,
9
],
[
8,
1,
5,
3,
... | very_easy |
[
[
5,
6,
4,
0,
0,
0,
0,
9,
0
],
[
1,
8,
3,
6,
9,
0,
0,
2,
0
],
[
7,
0,
2,
5,
0,
8,
0,
0,
0
],
[
9,
4,
8,
0,
5,
0,
0,
0,
0
],
[
0,
0,
0,
0,
... | [
[
5,
6,
4,
3,
2,
1,
7,
9,
8
],
[
1,
8,
3,
6,
9,
7,
4,
2,
5
],
[
7,
9,
2,
5,
4,
8,
3,
6,
1
],
[
9,
4,
8,
7,
5,
6,
1,
3,
2
],
[
6,
2,
1,
9,
... | very_easy |
[
[
0,
8,
5,
0,
0,
0,
1,
9,
0
],
[
7,
9,
0,
0,
2,
0,
6,
0,
8
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
9,
0,
6,
8,
0,
7,
0,
0,
0
],
[
0,
7,
0,
6,
... | [
[
4,
8,
5,
7,
3,
6,
1,
9,
2
],
[
7,
9,
3,
1,
2,
5,
6,
4,
8
],
[
6,
1,
2,
4,
8,
9,
3,
7,
5
],
[
9,
5,
6,
8,
1,
7,
4,
2,
3
],
[
2,
7,
8,
6,
... | very_easy |
[
[
0,
0,
5,
0,
0,
0,
0,
0,
9
],
[
0,
2,
9,
0,
0,
1,
7,
0,
0
],
[
0,
3,
0,
0,
5,
0,
8,
1,
0
],
[
0,
0,
0,
0,
0,
0,
9,
0,
0
],
[
0,
9,
7,
0,
... | [
[
8,
1,
5,
7,
3,
4,
2,
6,
9
],
[
4,
2,
9,
8,
6,
1,
7,
5,
3
],
[
7,
3,
6,
2,
5,
9,
8,
1,
4
],
[
3,
4,
8,
5,
1,
6,
9,
2,
7
],
[
1,
9,
7,
3,
... | very_easy |
[
[
2,
0,
0,
8,
0,
9,
0,
6,
0
],
[
0,
0,
0,
0,
0,
0,
0,
7,
5
],
[
0,
3,
5,
0,
0,
0,
2,
9,
8
],
[
3,
0,
0,
9,
0,
0,
1,
5,
0
],
[
0,
1,
6,
3,
... | [
[
2,
4,
7,
8,
5,
9,
3,
6,
1
],
[
8,
6,
9,
2,
3,
1,
4,
7,
5
],
[
1,
3,
5,
7,
6,
4,
2,
9,
8
],
[
3,
7,
8,
9,
4,
2,
1,
5,
6
],
[
5,
1,
6,
3,
... | very_easy |
[
[
9,
0,
0,
0,
6,
0,
0,
2,
0
],
[
0,
0,
6,
0,
0,
0,
0,
0,
0
],
[
8,
0,
0,
0,
0,
0,
0,
9,
0
],
[
0,
6,
0,
3,
0,
0,
7,
5,
0
],
[
0,
2,
0,
0,
... | [
[
9,
7,
3,
5,
6,
1,
8,
2,
4
],
[
2,
5,
6,
9,
8,
4,
1,
7,
3
],
[
8,
4,
1,
2,
3,
7,
5,
9,
6
],
[
4,
6,
8,
3,
2,
9,
7,
5,
1
],
[
7,
2,
5,
4,
... | very_easy |
[
[
3,
1,
0,
0,
0,
7,
0,
0,
0
],
[
7,
0,
0,
0,
9,
0,
0,
2,
0
],
[
0,
0,
4,
0,
0,
0,
0,
7,
0
],
[
2,
0,
0,
3,
0,
5,
0,
1,
0
],
[
0,
3,
0,
0,
... | [
[
3,
1,
2,
5,
8,
7,
9,
4,
6
],
[
7,
8,
5,
6,
9,
4,
1,
2,
3
],
[
9,
6,
4,
2,
1,
3,
8,
7,
5
],
[
2,
9,
7,
3,
6,
5,
4,
1,
8
],
[
5,
3,
1,
4,
... | very_easy |
[
[
5,
0,
3,
0,
8,
0,
0,
9,
2
],
[
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
2,
7,
0,
9,
0,
6,
0,
0,
5
],
[
7,
0,
0,
0,
0,
0,
1,
2,
0
],
[
6,
3,
9,
0,
... | [
[
5,
6,
3,
1,
8,
4,
7,
9,
2
],
[
4,
9,
8,
7,
2,
5,
3,
6,
1
],
[
2,
7,
1,
9,
3,
6,
8,
4,
5
],
[
7,
8,
5,
6,
4,
3,
1,
2,
9
],
[
6,
3,
9,
2,
... | very_easy |
[
[
0,
0,
1,
3,
5,
0,
7,
0,
0
],
[
3,
5,
0,
4,
0,
0,
6,
1,
0
],
[
7,
0,
0,
2,
0,
0,
0,
3,
5
],
[
5,
0,
2,
8,
4,
3,
0,
0,
0
],
[
0,
0,
0,
0,
... | [
[
9,
2,
1,
3,
5,
6,
7,
8,
4
],
[
3,
5,
8,
4,
9,
7,
6,
1,
2
],
[
7,
6,
4,
2,
1,
8,
9,
3,
5
],
[
5,
9,
2,
8,
4,
3,
1,
7,
6
],
[
8,
7,
6,
9,
... | very_easy |
[
[
0,
2,
0,
8,
0,
7,
3,
0,
0
],
[
0,
0,
0,
1,
9,
0,
2,
6,
0
],
[
0,
3,
0,
0,
0,
0,
0,
8,
7
],
[
8,
0,
5,
4,
0,
2,
7,
0,
0
],
[
7,
0,
2,
6,
... | [
[
5,
2,
6,
8,
4,
7,
3,
1,
9
],
[
4,
8,
7,
1,
9,
3,
2,
6,
5
],
[
1,
3,
9,
5,
2,
6,
4,
8,
7
],
[
8,
6,
5,
4,
1,
2,
7,
9,
3
],
[
7,
9,
2,
6,
... | very_easy |
[
[
0,
6,
0,
9,
0,
1,
0,
5,
3
],
[
0,
0,
0,
0,
0,
8,
0,
0,
9
],
[
9,
8,
3,
0,
0,
0,
0,
2,
0
],
[
0,
0,
7,
6,
0,
0,
0,
0,
1
],
[
5,
0,
0,
0,
... | [
[
4,
6,
2,
9,
7,
1,
8,
5,
3
],
[
7,
5,
1,
3,
2,
8,
4,
6,
9
],
[
9,
8,
3,
4,
5,
6,
1,
2,
7
],
[
3,
4,
7,
6,
8,
2,
5,
9,
1
],
[
5,
9,
6,
7,
... | very_easy |
[
[
0,
3,
7,
0,
0,
0,
0,
0,
0
],
[
0,
6,
0,
2,
1,
3,
0,
0,
0
],
[
1,
0,
2,
5,
0,
8,
0,
3,
4
],
[
0,
5,
0,
0,
0,
7,
3,
0,
8
],
[
0,
7,
0,
1,
... | [
[
8,
3,
7,
9,
6,
4,
2,
1,
5
],
[
4,
6,
5,
2,
1,
3,
8,
7,
9
],
[
1,
9,
2,
5,
7,
8,
6,
3,
4
],
[
6,
5,
1,
4,
9,
7,
3,
2,
8
],
[
9,
7,
3,
1,
... | very_easy |
[
[
2,
0,
0,
0,
0,
6,
9,
0,
0
],
[
0,
0,
3,
0,
0,
7,
0,
0,
5
],
[
0,
0,
6,
5,
0,
3,
4,
2,
0
],
[
0,
0,
0,
0,
0,
0,
0,
3,
4
],
[
0,
0,
1,
6,
... | [
[
2,
5,
8,
4,
1,
6,
9,
7,
3
],
[
9,
4,
3,
2,
8,
7,
1,
6,
5
],
[
7,
1,
6,
5,
9,
3,
4,
2,
8
],
[
6,
7,
9,
1,
5,
2,
8,
3,
4
],
[
3,
2,
1,
6,
... | very_easy |
[
[
6,
0,
0,
0,
8,
0,
7,
0,
3
],
[
3,
8,
1,
0,
0,
6,
0,
9,
4
],
[
7,
5,
4,
0,
9,
0,
0,
0,
0
],
[
0,
2,
0,
0,
7,
8,
0,
4,
0
],
[
5,
0,
7,
0,
... | [
[
6,
9,
2,
4,
8,
5,
7,
1,
3
],
[
3,
8,
1,
7,
2,
6,
5,
9,
4
],
[
7,
5,
4,
3,
9,
1,
6,
8,
2
],
[
9,
2,
3,
6,
7,
8,
1,
4,
5
],
[
5,
4,
7,
1,
... | very_easy |
[
[
0,
6,
0,
4,
0,
5,
0,
2,
3
],
[
2,
0,
4,
0,
0,
9,
0,
0,
0
],
[
0,
7,
0,
0,
0,
2,
0,
8,
4
],
[
1,
8,
0,
3,
0,
6,
0,
4,
0
],
[
0,
0,
0,
0,
... | [
[
8,
6,
1,
4,
7,
5,
9,
2,
3
],
[
2,
5,
4,
8,
3,
9,
7,
6,
1
],
[
9,
7,
3,
1,
6,
2,
5,
8,
4
],
[
1,
8,
7,
3,
9,
6,
2,
4,
5
],
[
5,
9,
2,
7,
... | very_easy |
[
[
8,
0,
0,
0,
0,
0,
5,
6,
7
],
[
6,
4,
0,
0,
0,
0,
1,
0,
0
],
[
0,
1,
9,
0,
6,
0,
0,
3,
0
],
[
0,
0,
8,
3,
0,
0,
0,
5,
0
],
[
0,
0,
0,
0,
... | [
[
8,
3,
2,
9,
1,
4,
5,
6,
7
],
[
6,
4,
5,
7,
3,
8,
1,
2,
9
],
[
7,
1,
9,
5,
6,
2,
8,
3,
4
],
[
9,
7,
8,
3,
4,
6,
2,
5,
1
],
[
2,
6,
4,
1,
... | very_easy |
[
[
0,
5,
0,
0,
0,
0,
8,
3,
6
],
[
3,
4,
8,
0,
0,
0,
0,
0,
1
],
[
1,
0,
0,
0,
8,
9,
2,
0,
5
],
[
7,
8,
1,
0,
0,
6,
5,
0,
4
],
[
5,
3,
0,
0,
... | [
[
2,
5,
9,
1,
4,
7,
8,
3,
6
],
[
3,
4,
8,
6,
5,
2,
9,
7,
1
],
[
1,
7,
6,
3,
8,
9,
2,
4,
5
],
[
7,
8,
1,
9,
3,
6,
5,
2,
4
],
[
5,
3,
4,
7,
... | very_easy |
[
[
7,
0,
1,
0,
3,
0,
0,
0,
4
],
[
0,
0,
0,
1,
6,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
7,
6,
0,
9
],
[
0,
0,
8,
9,
0,
0,
5,
0,
0
],
[
5,
0,
4,
7,
... | [
[
7,
6,
1,
2,
3,
9,
8,
5,
4
],
[
4,
9,
5,
1,
6,
8,
7,
3,
2
],
[
2,
8,
3,
5,
4,
7,
6,
1,
9
],
[
6,
2,
8,
9,
1,
4,
5,
7,
3
],
[
5,
1,
4,
7,
... | very_easy |
[
[
0,
5,
8,
0,
3,
0,
0,
1,
9
],
[
0,
1,
6,
7,
0,
9,
0,
0,
0
],
[
7,
0,
0,
8,
1,
0,
0,
3,
0
],
[
0,
0,
9,
0,
0,
0,
0,
6,
5
],
[
0,
0,
0,
5,
... | [
[
4,
5,
8,
2,
3,
6,
7,
1,
9
],
[
3,
1,
6,
7,
4,
9,
5,
8,
2
],
[
7,
9,
2,
8,
1,
5,
6,
3,
4
],
[
8,
2,
9,
3,
7,
1,
4,
6,
5
],
[
6,
3,
7,
5,
... | very_easy |
[
[
7,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
5,
9,
0,
0,
1,
0
],
[
4,
8,
0,
6,
0,
2,
9,
0,
0
],
[
0,
9,
0,
0,
1,
6,
4,
0,
5
],
[
0,
0,
0,
0,
... | [
[
7,
5,
9,
8,
3,
1,
6,
2,
4
],
[
3,
6,
2,
5,
9,
4,
7,
1,
8
],
[
4,
8,
1,
6,
7,
2,
9,
5,
3
],
[
2,
9,
8,
7,
1,
6,
4,
3,
5
],
[
1,
4,
3,
2,
... | very_easy |
[
[
0,
0,
0,
0,
9,
2,
8,
0,
4
],
[
0,
5,
8,
6,
1,
0,
0,
0,
0
],
[
3,
0,
0,
0,
0,
0,
6,
0,
0
],
[
0,
4,
6,
8,
5,
7,
3,
0,
0
],
[
0,
3,
5,
0,
... | [
[
7,
6,
1,
3,
9,
2,
8,
5,
4
],
[
2,
5,
8,
6,
1,
4,
9,
3,
7
],
[
3,
9,
4,
5,
7,
8,
6,
2,
1
],
[
1,
4,
6,
8,
5,
7,
3,
9,
2
],
[
9,
3,
5,
2,
... | very_easy |
[
[
3,
0,
9,
0,
0,
0,
0,
0,
0
],
[
0,
0,
1,
9,
0,
0,
0,
0,
2
],
[
4,
0,
0,
0,
5,
2,
0,
3,
6
],
[
0,
0,
0,
4,
0,
0,
2,
0,
0
],
[
0,
3,
0,
0,
... | [
[
3,
2,
9,
8,
7,
6,
4,
1,
5
],
[
6,
5,
1,
9,
4,
3,
8,
7,
2
],
[
4,
8,
7,
1,
5,
2,
9,
3,
6
],
[
7,
6,
5,
4,
3,
9,
2,
8,
1
],
[
9,
3,
2,
5,
... | very_easy |
[
[
2,
0,
5,
0,
0,
4,
9,
0,
0
],
[
0,
8,
9,
0,
2,
5,
0,
0,
4
],
[
4,
0,
3,
7,
0,
0,
0,
0,
0
],
[
1,
9,
8,
0,
0,
0,
0,
4,
5
],
[
3,
7,
0,
0,
... | [
[
2,
6,
5,
3,
8,
4,
9,
7,
1
],
[
7,
8,
9,
1,
2,
5,
6,
3,
4
],
[
4,
1,
3,
7,
9,
6,
5,
8,
2
],
[
1,
9,
8,
2,
6,
7,
3,
4,
5
],
[
3,
7,
2,
4,
... | very_easy |
[
[
0,
0,
0,
0,
0,
2,
0,
0,
0
],
[
0,
8,
0,
0,
4,
0,
2,
0,
6
],
[
0,
0,
0,
6,
5,
0,
8,
0,
3
],
[
9,
1,
0,
0,
0,
0,
0,
0,
2
],
[
0,
2,
0,
9,
... | [
[
6,
4,
3,
7,
8,
2,
1,
9,
5
],
[
5,
8,
9,
1,
4,
3,
2,
7,
6
],
[
1,
7,
2,
6,
5,
9,
8,
4,
3
],
[
9,
1,
7,
5,
6,
8,
4,
3,
2
],
[
4,
2,
6,
9,
... | very_easy |
[
[
0,
6,
0,
4,
0,
2,
9,
0,
1
],
[
0,
0,
9,
7,
6,
1,
2,
3,
4
],
[
2,
0,
4,
9,
0,
0,
5,
0,
7
],
[
9,
4,
8,
1,
0,
0,
0,
0,
5
],
[
0,
3,
0,
0,
... | [
[
3,
6,
7,
4,
5,
2,
9,
8,
1
],
[
5,
8,
9,
7,
6,
1,
2,
3,
4
],
[
2,
1,
4,
9,
3,
8,
5,
6,
7
],
[
9,
4,
8,
1,
2,
3,
6,
7,
5
],
[
7,
3,
5,
8,
... | very_easy |
[
[
6,
8,
7,
4,
9,
0,
0,
0,
0
],
[
0,
2,
3,
0,
0,
6,
9,
0,
0
],
[
0,
9,
0,
2,
0,
0,
7,
0,
4
],
[
0,
0,
0,
0,
1,
0,
0,
9,
0
],
[
0,
0,
0,
8,
... | [
[
6,
8,
7,
4,
9,
1,
5,
2,
3
],
[
4,
2,
3,
7,
5,
6,
9,
8,
1
],
[
1,
9,
5,
2,
8,
3,
7,
6,
4
],
[
7,
5,
8,
3,
1,
2,
4,
9,
6
],
[
3,
1,
9,
8,
... | very_easy |
[
[
0,
6,
0,
1,
0,
0,
7,
3,
9
],
[
0,
0,
0,
0,
3,
0,
0,
4,
6
],
[
0,
0,
0,
7,
0,
5,
1,
0,
8
],
[
0,
0,
6,
0,
9,
0,
0,
1,
3
],
[
0,
9,
0,
3,
... | [
[
5,
6,
2,
1,
4,
8,
7,
3,
9
],
[
8,
1,
7,
2,
3,
9,
5,
4,
6
],
[
3,
4,
9,
7,
6,
5,
1,
2,
8
],
[
2,
5,
6,
8,
9,
7,
4,
1,
3
],
[
7,
9,
4,
3,
... | very_easy |
[
[
3,
2,
0,
0,
0,
4,
0,
1,
0
],
[
1,
0,
0,
0,
0,
9,
5,
0,
4
],
[
4,
0,
0,
0,
6,
0,
0,
7,
0
],
[
6,
0,
0,
5,
0,
0,
0,
0,
1
],
[
0,
7,
1,
6,
... | [
[
3,
2,
8,
7,
5,
4,
6,
1,
9
],
[
1,
6,
7,
2,
3,
9,
5,
8,
4
],
[
4,
9,
5,
8,
6,
1,
3,
7,
2
],
[
6,
8,
9,
5,
2,
7,
4,
3,
1
],
[
5,
7,
1,
6,
... | very_easy |
[
[
0,
4,
0,
0,
0,
0,
7,
0,
0
],
[
6,
8,
0,
0,
7,
5,
0,
3,
9
],
[
0,
0,
0,
0,
0,
1,
2,
0,
0
],
[
0,
0,
8,
7,
0,
4,
6,
2,
0
],
[
0,
0,
0,
1,
... | [
[
2,
4,
5,
3,
8,
9,
7,
1,
6
],
[
6,
8,
1,
2,
7,
5,
4,
3,
9
],
[
7,
3,
9,
4,
6,
1,
2,
8,
5
],
[
9,
1,
8,
7,
5,
4,
6,
2,
3
],
[
4,
6,
3,
1,
... | very_easy |
[
[
0,
0,
7,
4,
8,
0,
1,
0,
0
],
[
0,
0,
6,
3,
0,
0,
0,
0,
0
],
[
8,
5,
4,
1,
0,
2,
0,
3,
0
],
[
0,
7,
0,
0,
0,
0,
0,
0,
8
],
[
0,
0,
0,
0,
... | [
[
3,
9,
7,
4,
8,
5,
1,
2,
6
],
[
2,
1,
6,
3,
9,
7,
4,
8,
5
],
[
8,
5,
4,
1,
6,
2,
7,
3,
9
],
[
4,
7,
5,
6,
3,
9,
2,
1,
8
],
[
9,
8,
2,
7,
... | very_easy |
[
[
0,
0,
0,
0,
0,
4,
1,
5,
7
],
[
0,
4,
0,
0,
1,
9,
2,
3,
8
],
[
0,
7,
1,
2,
3,
0,
6,
4,
9
],
[
2,
0,
0,
0,
9,
3,
7,
0,
5
],
[
0,
0,
0,
0,
... | [
[
3,
2,
9,
8,
6,
4,
1,
5,
7
],
[
6,
4,
5,
7,
1,
9,
2,
3,
8
],
[
8,
7,
1,
2,
3,
5,
6,
4,
9
],
[
2,
8,
6,
4,
9,
3,
7,
1,
5
],
[
5,
3,
4,
1,
... | very_easy |
[
[
0,
0,
0,
3,
0,
0,
0,
4,
1
],
[
9,
0,
0,
7,
0,
1,
0,
3,
0
],
[
0,
0,
8,
0,
0,
0,
5,
0,
0
],
[
4,
6,
0,
5,
1,
2,
0,
0,
3
],
[
0,
0,
0,
8,
... | [
[
7,
5,
2,
3,
8,
9,
6,
4,
1
],
[
9,
4,
6,
7,
5,
1,
8,
3,
2
],
[
1,
3,
8,
6,
2,
4,
5,
9,
7
],
[
4,
6,
7,
5,
1,
2,
9,
8,
3
],
[
2,
1,
9,
8,
... | very_easy |
[
[
0,
5,
4,
7,
1,
0,
6,
0,
2
],
[
0,
0,
0,
0,
4,
0,
8,
0,
1
],
[
1,
0,
8,
0,
2,
3,
7,
0,
5
],
[
3,
9,
0,
0,
0,
0,
2,
0,
6
],
[
6,
4,
0,
0,
... | [
[
9,
5,
4,
7,
1,
8,
6,
3,
2
],
[
2,
7,
3,
5,
4,
6,
8,
9,
1
],
[
1,
6,
8,
9,
2,
3,
7,
4,
5
],
[
3,
9,
7,
4,
5,
1,
2,
8,
6
],
[
6,
4,
2,
8,
... | very_easy |
[
[
0,
9,
0,
0,
0,
0,
3,
7,
0
],
[
0,
7,
3,
0,
0,
1,
0,
2,
0
],
[
0,
0,
0,
5,
0,
0,
0,
0,
0
],
[
3,
0,
0,
6,
0,
4,
2,
5,
0
],
[
0,
5,
0,
0,
... | [
[
5,
9,
8,
2,
4,
6,
3,
7,
1
],
[
6,
7,
3,
8,
9,
1,
4,
2,
5
],
[
2,
4,
1,
5,
7,
3,
9,
8,
6
],
[
3,
1,
7,
6,
8,
4,
2,
5,
9
],
[
4,
5,
9,
3,
... | very_easy |
[
[
0,
0,
7,
0,
0,
0,
0,
0,
3
],
[
2,
0,
0,
0,
0,
4,
0,
0,
7
],
[
0,
0,
5,
8,
0,
0,
0,
0,
0
],
[
4,
0,
6,
0,
8,
9,
0,
3,
0
],
[
7,
0,
1,
0,
... | [
[
1,
4,
7,
5,
9,
6,
8,
2,
3
],
[
2,
9,
8,
1,
3,
4,
6,
5,
7
],
[
3,
6,
5,
8,
2,
7,
1,
4,
9
],
[
4,
2,
6,
7,
8,
9,
5,
3,
1
],
[
7,
5,
1,
4,
... | very_easy |
[
[
0,
0,
0,
5,
8,
9,
0,
0,
2
],
[
3,
6,
0,
0,
0,
2,
0,
0,
0
],
[
0,
0,
2,
3,
0,
0,
0,
0,
9
],
[
0,
0,
0,
0,
4,
7,
5,
0,
0
],
[
0,
0,
6,
2,
... | [
[
1,
4,
7,
5,
8,
9,
6,
3,
2
],
[
3,
6,
9,
4,
7,
2,
1,
8,
5
],
[
8,
5,
2,
3,
6,
1,
4,
7,
9
],
[
2,
3,
1,
9,
4,
7,
5,
6,
8
],
[
4,
8,
6,
2,
... | very_easy |
[
[
0,
9,
0,
0,
1,
0,
6,
7,
0
],
[
0,
0,
0,
5,
7,
0,
0,
0,
0
],
[
2,
7,
0,
0,
0,
6,
5,
0,
0
],
[
0,
6,
0,
4,
0,
8,
0,
0,
1
],
[
0,
0,
0,
0,
... | [
[
5,
9,
3,
2,
1,
4,
6,
7,
8
],
[
8,
4,
6,
5,
7,
3,
1,
9,
2
],
[
2,
7,
1,
9,
8,
6,
5,
4,
3
],
[
3,
6,
7,
4,
9,
8,
2,
5,
1
],
[
9,
1,
5,
7,
... | very_easy |
[
[
4,
0,
0,
3,
0,
0,
0,
0,
0
],
[
5,
7,
0,
0,
1,
0,
0,
0,
0
],
[
0,
0,
9,
0,
0,
7,
0,
0,
0
],
[
0,
0,
0,
5,
0,
1,
0,
0,
3
],
[
0,
0,
0,
9,
... | [
[
4,
8,
1,
3,
9,
2,
6,
5,
7
],
[
5,
7,
6,
4,
1,
8,
3,
2,
9
],
[
2,
3,
9,
6,
5,
7,
4,
1,
8
],
[
9,
6,
2,
5,
8,
1,
7,
4,
3
],
[
3,
1,
4,
9,
... | very_easy |
[
[
0,
0,
0,
0,
0,
0,
0,
0,
6
],
[
6,
0,
8,
0,
0,
0,
0,
7,
0
],
[
1,
7,
3,
0,
0,
0,
9,
0,
0
],
[
3,
8,
0,
0,
0,
0,
7,
0,
2
],
[
7,
0,
0,
5,
... | [
[
2,
4,
9,
3,
7,
1,
5,
8,
6
],
[
6,
5,
8,
2,
4,
9,
3,
7,
1
],
[
1,
7,
3,
6,
8,
5,
9,
2,
4
],
[
3,
8,
5,
4,
9,
6,
7,
1,
2
],
[
7,
1,
4,
5,
... | very_easy |
[
[
0,
0,
0,
5,
0,
3,
6,
0,
0
],
[
1,
0,
0,
9,
0,
0,
8,
0,
2
],
[
6,
0,
0,
1,
0,
0,
0,
5,
0
],
[
0,
0,
1,
0,
9,
0,
0,
4,
0
],
[
9,
5,
0,
0,
... | [
[
4,
9,
8,
5,
2,
3,
6,
7,
1
],
[
1,
7,
5,
9,
6,
4,
8,
3,
2
],
[
6,
2,
3,
1,
7,
8,
4,
5,
9
],
[
3,
8,
1,
7,
9,
2,
5,
4,
6
],
[
9,
5,
6,
8,
... | very_easy |
[
[
6,
9,
0,
0,
0,
0,
0,
1,
3
],
[
0,
0,
2,
0,
9,
0,
0,
7,
0
],
[
4,
0,
0,
0,
0,
3,
0,
0,
0
],
[
9,
0,
0,
0,
0,
0,
3,
4,
5
],
[
1,
0,
0,
0,
... | [
[
6,
9,
7,
5,
4,
8,
2,
1,
3
],
[
8,
3,
2,
1,
9,
6,
5,
7,
4
],
[
4,
1,
5,
2,
7,
3,
9,
6,
8
],
[
9,
2,
6,
7,
8,
1,
3,
4,
5
],
[
1,
8,
4,
9,
... | easy |
[
[
9,
0,
0,
0,
0,
8,
0,
7,
0
],
[
0,
8,
0,
0,
5,
0,
2,
0,
0
],
[
0,
1,
0,
6,
0,
0,
0,
0,
0
],
[
0,
0,
0,
4,
9,
0,
0,
6,
0
],
[
6,
0,
0,
0,
... | [
[
9,
3,
5,
1,
2,
8,
4,
7,
6
],
[
7,
8,
6,
9,
5,
4,
2,
1,
3
],
[
2,
1,
4,
6,
7,
3,
8,
5,
9
],
[
8,
5,
1,
4,
9,
2,
3,
6,
7
],
[
6,
4,
2,
3,
... | easy |
[
[
0,
0,
0,
0,
0,
1,
3,
0,
2
],
[
0,
0,
8,
0,
0,
4,
7,
0,
0
],
[
5,
0,
7,
0,
0,
0,
0,
8,
0
],
[
0,
0,
0,
0,
3,
8,
4,
0,
0
],
[
0,
3,
4,
0,
... | [
[
4,
9,
6,
7,
8,
1,
3,
5,
2
],
[
3,
2,
8,
5,
9,
4,
7,
6,
1
],
[
5,
1,
7,
3,
6,
2,
9,
8,
4
],
[
1,
5,
2,
6,
3,
8,
4,
9,
7
],
[
7,
3,
4,
9,
... | easy |
[
[
0,
0,
0,
0,
0,
0,
0,
0,
8
],
[
0,
0,
0,
9,
0,
2,
0,
0,
5
],
[
3,
0,
2,
4,
0,
0,
0,
0,
0
],
[
0,
0,
0,
7,
0,
0,
2,
0,
0
],
[
0,
0,
0,
0,
... | [
[
1,
9,
4,
6,
5,
7,
3,
2,
8
],
[
7,
6,
8,
9,
3,
2,
4,
1,
5
],
[
3,
5,
2,
4,
1,
8,
9,
6,
7
],
[
8,
3,
5,
7,
6,
9,
2,
4,
1
],
[
4,
1,
6,
8,
... | easy |
[
[
0,
4,
9,
0,
0,
7,
0,
0,
0
],
[
0,
6,
7,
4,
3,
0,
1,
0,
0
],
[
0,
0,
1,
0,
8,
5,
6,
0,
0
],
[
0,
0,
0,
0,
9,
0,
5,
3,
0
],
[
0,
0,
0,
0,
... | [
[
5,
4,
9,
1,
6,
7,
8,
2,
3
],
[
8,
6,
7,
4,
3,
2,
1,
5,
9
],
[
3,
2,
1,
9,
8,
5,
6,
4,
7
],
[
4,
7,
6,
2,
9,
1,
5,
3,
8
],
[
2,
5,
8,
3,
... | easy |
[
[
0,
0,
9,
0,
0,
0,
0,
8,
0
],
[
5,
0,
0,
0,
6,
4,
0,
0,
0
],
[
0,
4,
0,
0,
9,
2,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
2,
5,
0
],
[
4,
0,
1,
0,
... | [
[
2,
6,
9,
3,
1,
7,
4,
8,
5
],
[
5,
1,
7,
8,
6,
4,
9,
3,
2
],
[
8,
4,
3,
5,
9,
2,
6,
1,
7
],
[
3,
9,
6,
7,
4,
8,
2,
5,
1
],
[
4,
8,
1,
2,
... | easy |
[
[
0,
0,
0,
0,
0,
7,
0,
0,
6
],
[
0,
4,
0,
0,
5,
0,
3,
0,
9
],
[
7,
0,
0,
0,
0,
0,
5,
2,
0
],
[
0,
6,
0,
0,
0,
0,
4,
5,
0
],
[
0,
0,
0,
1,
... | [
[
8,
5,
9,
3,
2,
7,
1,
4,
6
],
[
6,
4,
2,
8,
5,
1,
3,
7,
9
],
[
7,
1,
3,
4,
6,
9,
5,
2,
8
],
[
3,
6,
1,
2,
9,
8,
4,
5,
7
],
[
5,
7,
4,
1,
... | easy |
[
[
0,
5,
0,
6,
0,
0,
7,
0,
2
],
[
0,
0,
0,
5,
0,
0,
0,
1,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
4
],
[
0,
0,
1,
0,
5,
8,
4,
0,
0
],
[
0,
4,
0,
2,
... | [
[
8,
5,
4,
6,
9,
1,
7,
3,
2
],
[
3,
2,
7,
5,
8,
4,
9,
1,
6
],
[
1,
9,
6,
3,
7,
2,
5,
8,
4
],
[
2,
6,
1,
9,
5,
8,
4,
7,
3
],
[
7,
4,
8,
2,
... | easy |
[
[
0,
6,
9,
0,
0,
0,
0,
0,
0
],
[
5,
0,
3,
4,
0,
1,
0,
0,
0
],
[
0,
0,
0,
7,
0,
9,
0,
0,
0
],
[
1,
0,
5,
2,
0,
0,
0,
3,
9
],
[
0,
0,
0,
1,
... | [
[
7,
6,
9,
5,
3,
2,
8,
4,
1
],
[
5,
2,
3,
4,
8,
1,
9,
7,
6
],
[
8,
1,
4,
7,
6,
9,
3,
2,
5
],
[
1,
4,
5,
2,
7,
8,
6,
3,
9
],
[
2,
8,
6,
1,
... | easy |
[
[
0,
0,
2,
0,
9,
4,
0,
0,
7
],
[
8,
7,
0,
1,
0,
0,
0,
6,
0
],
[
0,
0,
0,
0,
0,
8,
0,
0,
3
],
[
0,
8,
0,
4,
0,
5,
0,
0,
2
],
[
2,
0,
0,
0,
... | [
[
1,
3,
2,
6,
9,
4,
5,
8,
7
],
[
8,
7,
5,
1,
2,
3,
9,
6,
4
],
[
4,
6,
9,
5,
7,
8,
1,
2,
3
],
[
3,
8,
7,
4,
1,
5,
6,
9,
2
],
[
2,
1,
6,
9,
... | easy |
End of preview. Expand in Data Studio
Sudoku Dataset
Summary
9x9 Sudoku puzzles, each with a unique solution, rated by the hardest human solving technique they require.
| Difficulty | Techniques needed |
|---|---|
very_easy |
Naked singles |
easy |
Hidden singles |
medium |
Locked candidates, naked and hidden pairs |
hard |
Naked and hidden triples, X-Wing, Swordfish |
extreme |
None of the above is enough |
Each puzzle is the one with the fewest clues that its difficulty level still solves, along a random clue-removal path.
Data Structure
Columns:
"puzzle": The 9x9 grid as a list of rows,0for empty cells."solution": The solved 9x9 grid as a list of rows."difficulty": One ofvery_easy,easy,medium,hard,extreme.
Generation script
The script used to generate this dataset can be found here.
- Downloads last month
- 79