Datasets:
prompt
stringclasses 1
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stringclasses 2
values | motif_nodes
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35
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Is there a house motif in this graph?
|
Yes, there is a motif.
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[
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| 12
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
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Is there a house motif in this graph?
|
Yes, there is a motif.
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| 12
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Is there a house motif in this graph?
|
No, there is no motif.
|
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| 22
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Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
0,
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[
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| 10
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
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[
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[
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| 8
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Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
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13,
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| 29
|
Is there a house motif in this graph?
|
No, there is no motif.
|
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| 27
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Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
1,
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[
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| 13
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
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| 18
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Is there a house motif in this graph?
|
Yes, there is a motif.
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| 19
|
Is there a house motif in this graph?
|
No, there is no motif.
|
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| 30
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
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| 17
|
Is there a house motif in this graph?
|
No, there is no motif.
|
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| 21
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
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| 10
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
3,
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14
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| 17
|
Is there a house motif in this graph?
|
No, there is no motif.
|
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| 30
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
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| 11
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
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| 25
|
Is there a house motif in this graph?
|
No, there is no motif.
|
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| 33
|
Is there a house motif in this graph?
|
No, there is no motif.
|
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| 33
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
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| 11
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10
] |
[
[
0,
8
],
[
0,
2
],
[
0,
10
],
[
0,
6
],
[
2,
8
],
[
4,
8
],
[
6,
8
],
[
7,
8
],
[
5,
9
],
[
2,
3
],
[
4,
10
],
[
1,
4
],
[
4,
7
],
[
9,
10
],
[
3,
10
],
[
1,
3
]
] | 11
| 16
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
3,
4,
7,
18,
19
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19
] |
[
[
2,
11
],
[
11,
13
],
[
11,
15
],
[
11,
12
],
[
8,
11
],
[
11,
17
],
[
11,
16
],
[
0,
11
],
[
5,
11
],
[
9,
11
],
[
10,
11
],
[
11,
14
],
[
6,
13
],
[
6,
15
],
[
6,
12
],
[
6,
8
],
[
0,
6
],
[
1,
6
],
[
2,
14
],
[
12,
17
],
[
9,
12
],
[
10,
12
],
[
4,
19
],
[
4,
18
],
[
4,
7
],
[
7,
19
],
[
3,
19
],
[
3,
18
],
[
3,
17
]
] | 20
| 29
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12
] |
[
[
3,
7
],
[
3,
8
],
[
3,
11
],
[
9,
10
],
[
1,
7
],
[
7,
9
],
[
2,
7
],
[
6,
7
],
[
1,
11
],
[
9,
12
],
[
4,
9
],
[
5,
12
],
[
0,
12
],
[
6,
12
],
[
5,
8
],
[
2,
11
]
] | 13
| 16
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19
] |
[
[
8,
18
],
[
8,
10
],
[
8,
16
],
[
5,
8
],
[
6,
8
],
[
8,
9
],
[
0,
10
],
[
4,
10
],
[
10,
12
],
[
10,
11
],
[
7,
16
],
[
5,
16
],
[
2,
16
],
[
6,
16
],
[
0,
7
],
[
7,
11
],
[
0,
3
],
[
0,
14
],
[
0,
12
],
[
0,
19
],
[
0,
15
],
[
3,
14
],
[
1,
3
],
[
4,
5
],
[
5,
15
],
[
5,
13
],
[
2,
9
],
[
14,
19
],
[
14,
17
],
[
17,
19
],
[
13,
15
]
] | 20
| 31
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
0,
2,
5,
6,
7
] |
[
0,
1,
2,
3,
4,
5,
6,
7
] |
[
[
1,
3
],
[
3,
4
],
[
2,
7
],
[
0,
2
],
[
2,
5
],
[
5,
7
],
[
6,
7
],
[
0,
6
],
[
1,
7
]
] | 8
| 9
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
0,
1,
3,
4,
5
] |
[
0,
1,
2,
3,
4,
5,
6,
7
] |
[
[
2,
6
],
[
1,
4
],
[
1,
3
],
[
0,
1
],
[
0,
4
],
[
4,
5
],
[
3,
5
],
[
1,
7
]
] | 8
| 8
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11
] |
[
[
6,
10
],
[
6,
11
],
[
5,
10
],
[
5,
11
],
[
5,
8
],
[
4,
5
],
[
3,
5
],
[
2,
10
],
[
3,
10
],
[
0,
10
],
[
7,
10
],
[
1,
11
],
[
1,
8
],
[
4,
9
],
[
4,
7
],
[
0,
1
],
[
2,
9
]
] | 12
| 17
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12
] |
[
[
2,
6
],
[
2,
9
],
[
3,
7
],
[
4,
12
],
[
0,
12
],
[
1,
12
],
[
7,
12
],
[
8,
12
],
[
0,
4
],
[
1,
4
],
[
4,
6
],
[
4,
11
],
[
4,
5
],
[
6,
11
],
[
6,
10
],
[
9,
11
],
[
5,
11
],
[
8,
9
],
[
9,
10
]
] | 13
| 19
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12
] |
[
[
1,
12
],
[
10,
12
],
[
9,
12
],
[
11,
12
],
[
1,
8
],
[
0,
1
],
[
1,
10
],
[
1,
7
],
[
3,
8
],
[
7,
8
],
[
8,
11
],
[
2,
8
],
[
5,
8
],
[
0,
3
],
[
0,
6
],
[
4,
10
],
[
3,
9
],
[
6,
7
],
[
2,
9
],
[
4,
6
]
] | 13
| 20
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19
] |
[
[
1,
19
],
[
1,
18
],
[
1,
10
],
[
1,
15
],
[
1,
7
],
[
0,
17
],
[
14,
17
],
[
0,
8
],
[
0,
14
],
[
0,
5
],
[
0,
4
],
[
7,
19
],
[
8,
18
],
[
13,
18
],
[
16,
18
],
[
11,
18
],
[
3,
18
],
[
4,
18
],
[
9,
18
],
[
8,
15
],
[
11,
14
],
[
10,
14
],
[
12,
14
],
[
5,
16
],
[
6,
16
],
[
2,
16
],
[
3,
6
],
[
6,
9
],
[
2,
12
]
] | 20
| 29
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
1,
2,
4,
6,
9
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9
] |
[
[
5,
7
],
[
7,
8
],
[
3,
7
],
[
5,
8
],
[
3,
5
],
[
2,
9
],
[
4,
9
],
[
6,
9
],
[
2,
6
],
[
1,
2
],
[
1,
4
],
[
5,
6
]
] | 10
| 12
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7
] |
[
[
0,
7
],
[
4,
7
],
[
6,
7
],
[
5,
7
],
[
0,
5
],
[
1,
4
],
[
2,
4
],
[
2,
6
],
[
1,
3
]
] | 8
| 9
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17
] |
[
[
3,
6
],
[
3,
11
],
[
3,
5
],
[
0,
3
],
[
3,
8
],
[
3,
4
],
[
3,
7
],
[
5,
17
],
[
2,
6
],
[
6,
14
],
[
6,
7
],
[
6,
9
],
[
1,
6
],
[
11,
16
],
[
0,
5
],
[
5,
14
],
[
2,
16
],
[
2,
12
],
[
2,
15
],
[
2,
9
],
[
2,
13
],
[
10,
16
],
[
4,
8
],
[
8,
12
],
[
8,
15
],
[
1,
8
],
[
12,
13
]
] | 18
| 27
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18
] |
[
[
2,
12
],
[
2,
3
],
[
2,
16
],
[
2,
14
],
[
2,
9
],
[
2,
11
],
[
2,
17
],
[
2,
18
],
[
3,
12
],
[
7,
12
],
[
8,
12
],
[
9,
12
],
[
11,
12
],
[
6,
12
],
[
4,
12
],
[
3,
5
],
[
3,
6
],
[
7,
16
],
[
14,
15
],
[
5,
15
],
[
13,
15
],
[
1,
15
],
[
15,
18
],
[
7,
8
],
[
0,
7
],
[
10,
14
],
[
8,
10
],
[
0,
1
],
[
4,
6
]
] | 19
| 29
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10
] |
[
[
0,
8
],
[
0,
5
],
[
0,
2
],
[
4,
9
],
[
9,
10
],
[
1,
4
],
[
4,
8
],
[
2,
4
],
[
3,
4
],
[
5,
8
],
[
8,
10
],
[
6,
8
],
[
3,
8
],
[
7,
8
],
[
7,
10
]
] | 11
| 15
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9
] |
[
[
4,
6
],
[
4,
5
],
[
4,
8
],
[
0,
4
],
[
4,
9
],
[
3,
5
],
[
0,
8
],
[
7,
8
],
[
8,
9
],
[
3,
8
],
[
1,
8
],
[
0,
7
],
[
0,
2
]
] | 10
| 13
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
0,
1,
6,
7,
9
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9
] |
[
[
2,
5
],
[
5,
8
],
[
2,
3
],
[
3,
4
],
[
7,
9
],
[
6,
9
],
[
1,
9
],
[
1,
7
],
[
0,
7
],
[
0,
6
],
[
1,
4
]
] | 10
| 11
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
1,
3,
4,
5,
6
] |
[
0,
1,
2,
3,
4,
5,
6,
7
] |
[
[
0,
7
],
[
5,
6
],
[
4,
6
],
[
1,
6
],
[
1,
5
],
[
3,
5
],
[
3,
4
],
[
0,
4
]
] | 8
| 8
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
0,
1,
6,
8,
12
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14
] |
[
[
5,
11
],
[
2,
11
],
[
3,
11
],
[
7,
11
],
[
4,
5
],
[
5,
14
],
[
3,
10
],
[
3,
9
],
[
7,
10
],
[
1,
8
],
[
6,
8
],
[
8,
12
],
[
1,
12
],
[
0,
1
],
[
0,
6
],
[
5,
12
]
] | 15
| 16
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
1,
3,
4,
14,
15
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18
] |
[
[
0,
6
],
[
6,
13
],
[
6,
10
],
[
9,
11
],
[
9,
16
],
[
2,
9
],
[
9,
12
],
[
5,
9
],
[
9,
10
],
[
9,
18
],
[
0,
11
],
[
0,
13
],
[
0,
16
],
[
0,
2
],
[
0,
17
],
[
7,
13
],
[
16,
17
],
[
2,
12
],
[
2,
7
],
[
2,
5
],
[
2,
8
],
[
8,
10
],
[
8,
18
],
[
4,
14
],
[
1,
14
],
[
14,
15
],
[
4,
15
],
[
3,
4
],
[
1,
3
],
[
4,
8
]
] | 19
| 30
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17
] |
[
[
3,
14
],
[
1,
3
],
[
2,
3
],
[
3,
17
],
[
3,
11
],
[
3,
6
],
[
3,
13
],
[
3,
10
],
[
3,
15
],
[
3,
9
],
[
4,
14
],
[
1,
14
],
[
2,
14
],
[
11,
14
],
[
13,
14
],
[
8,
14
],
[
4,
17
],
[
4,
7
],
[
4,
8
],
[
4,
10
],
[
0,
4
],
[
1,
6
],
[
1,
7
],
[
1,
15
],
[
1,
12
],
[
1,
9
],
[
11,
16
],
[
5,
13
],
[
10,
16
],
[
5,
15
],
[
0,
12
]
] | 18
| 31
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15
] |
[
[
2,
11
],
[
2,
13
],
[
2,
10
],
[
2,
5
],
[
2,
9
],
[
2,
4
],
[
2,
14
],
[
2,
6
],
[
13,
14
],
[
5,
10
],
[
7,
10
],
[
10,
12
],
[
5,
9
],
[
5,
6
],
[
3,
5
],
[
5,
15
],
[
4,
9
],
[
8,
9
],
[
0,
9
],
[
1,
9
],
[
3,
14
],
[
1,
6
],
[
12,
15
]
] | 16
| 23
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
0,
2,
5,
7,
8
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8
] |
[
[
1,
3
],
[
1,
6
],
[
3,
4
],
[
4,
6
],
[
5,
8
],
[
0,
5
],
[
5,
7
],
[
7,
8
],
[
2,
8
],
[
0,
2
],
[
1,
2
]
] | 9
| 11
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
3,
5,
7,
8,
10
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10
] |
[
[
1,
6
],
[
1,
4
],
[
1,
2
],
[
0,
1
],
[
6,
9
],
[
0,
9
],
[
2,
4
],
[
5,
10
],
[
3,
10
],
[
7,
10
],
[
5,
7
],
[
5,
8
],
[
3,
8
],
[
2,
8
]
] | 11
| 14
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
5,
6,
7,
15,
17
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17
] |
[
[
1,
4
],
[
1,
8
],
[
1,
11
],
[
1,
2
],
[
1,
9
],
[
1,
14
],
[
1,
12
],
[
4,
13
],
[
10,
16
],
[
2,
16
],
[
10,
13
],
[
12,
13
],
[
0,
13
],
[
9,
10
],
[
2,
14
],
[
3,
9
],
[
0,
9
],
[
15,
17
],
[
5,
17
],
[
7,
17
],
[
7,
15
],
[
6,
15
],
[
5,
6
],
[
13,
15
]
] | 18
| 24
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7
] |
[
[
1,
3
],
[
5,
7
],
[
3,
7
],
[
6,
7
],
[
2,
7
],
[
4,
7
],
[
2,
3
],
[
0,
3
],
[
2,
4
],
[
0,
4
]
] | 8
| 10
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
0,
1,
5,
8,
9
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11
] |
[
[
7,
11
],
[
2,
11
],
[
6,
11
],
[
3,
11
],
[
6,
10
],
[
4,
10
],
[
1,
8
],
[
1,
5
],
[
0,
1
],
[
0,
8
],
[
8,
9
],
[
5,
9
],
[
7,
8
]
] | 12
| 13
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
1,
2,
4,
8,
9
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9
] |
[
[
3,
7
],
[
0,
6
],
[
0,
5
],
[
5,
7
],
[
1,
2
],
[
1,
8
],
[
1,
4
],
[
2,
4
],
[
2,
9
],
[
8,
9
],
[
0,
8
]
] | 10
| 11
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
3,
5,
11,
13,
14
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17
] |
[
[
4,
15
],
[
0,
4
],
[
2,
4
],
[
4,
6
],
[
4,
17
],
[
4,
10
],
[
2,
15
],
[
7,
15
],
[
8,
15
],
[
0,
1
],
[
2,
6
],
[
6,
16
],
[
7,
12
],
[
7,
9
],
[
8,
9
],
[
1,
10
],
[
1,
16
],
[
5,
14
],
[
13,
14
],
[
11,
14
],
[
5,
11
],
[
3,
5
],
[
3,
13
],
[
0,
14
]
] | 18
| 24
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
5,
7,
8,
11,
12
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14
] |
[
[
9,
10
],
[
3,
9
],
[
4,
9
],
[
1,
10
],
[
10,
13
],
[
0,
10
],
[
6,
10
],
[
1,
13
],
[
13,
14
],
[
3,
14
],
[
6,
14
],
[
2,
3
],
[
0,
3
],
[
5,
12
],
[
11,
12
],
[
8,
12
],
[
5,
8
],
[
5,
7
],
[
7,
11
],
[
2,
7
]
] | 15
| 20
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17
] |
[
[
2,
4
],
[
7,
13
],
[
9,
13
],
[
10,
13
],
[
13,
17
],
[
1,
13
],
[
8,
13
],
[
6,
13
],
[
7,
15
],
[
7,
14
],
[
0,
7
],
[
7,
16
],
[
4,
9
],
[
9,
16
],
[
10,
15
],
[
5,
15
],
[
8,
15
],
[
12,
15
],
[
11,
15
],
[
10,
17
],
[
1,
10
],
[
10,
11
],
[
3,
10
],
[
14,
17
],
[
1,
5
],
[
1,
6
],
[
1,
12
],
[
1,
3
]
] | 18
| 28
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
3,
14,
15,
16,
18
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18
] |
[
[
4,
5
],
[
4,
13
],
[
4,
11
],
[
4,
9
],
[
4,
17
],
[
4,
6
],
[
2,
5
],
[
5,
13
],
[
5,
8
],
[
5,
11
],
[
5,
17
],
[
0,
5
],
[
1,
5
],
[
5,
10
],
[
5,
12
],
[
5,
6
],
[
2,
9
],
[
2,
7
],
[
1,
2
],
[
7,
9
],
[
10,
17
],
[
3,
16
],
[
14,
16
],
[
15,
16
],
[
3,
15
],
[
3,
18
],
[
14,
18
],
[
1,
14
]
] | 19
| 28
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
1,
6,
9,
12,
16
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18
] |
[
[
0,
17
],
[
3,
17
],
[
14,
17
],
[
7,
17
],
[
4,
17
],
[
0,
11
],
[
0,
14
],
[
0,
13
],
[
0,
10
],
[
0,
4
],
[
0,
15
],
[
3,
11
],
[
2,
11
],
[
2,
3
],
[
3,
13
],
[
3,
5
],
[
3,
15
],
[
2,
8
],
[
7,
14
],
[
5,
14
],
[
10,
13
],
[
13,
18
],
[
8,
10
],
[
4,
18
],
[
1,
16
],
[
6,
16
],
[
12,
16
],
[
1,
12
],
[
1,
9
],
[
6,
9
],
[
5,
16
]
] | 19
| 31
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7
] |
[
[
4,
7
],
[
2,
4
],
[
0,
4
],
[
1,
2
],
[
1,
5
],
[
1,
6
],
[
1,
3
],
[
0,
1
],
[
3,
6
]
] | 8
| 9
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
0,
1,
3,
5,
6
] |
[
0,
1,
2,
3,
4,
5,
6,
7
] |
[
[
2,
7
],
[
5,
6
],
[
1,
5
],
[
0,
5
],
[
0,
6
],
[
3,
6
],
[
1,
3
],
[
4,
6
]
] | 8
| 8
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17
] |
[
[
12,
14
],
[
4,
12
],
[
2,
12
],
[
5,
14
],
[
0,
14
],
[
3,
14
],
[
14,
17
],
[
11,
14
],
[
14,
15
],
[
13,
14
],
[
1,
14
],
[
4,
14
],
[
9,
14
],
[
6,
14
],
[
14,
16
],
[
8,
14
],
[
10,
14
],
[
7,
14
],
[
0,
13
],
[
0,
8
],
[
0,
7
],
[
9,
17
],
[
15,
16
],
[
10,
15
]
] | 18
| 24
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7
] |
[
[
0,
4
],
[
0,
2
],
[
0,
1
],
[
0,
6
],
[
0,
7
],
[
4,
6
],
[
4,
5
],
[
2,
3
],
[
1,
2
],
[
3,
5
]
] | 8
| 10
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
0,
3,
4,
5,
7
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9
] |
[
[
8,
9
],
[
1,
9
],
[
1,
2
],
[
0,
5
],
[
4,
5
],
[
5,
7
],
[
0,
7
],
[
0,
3
],
[
3,
4
],
[
1,
3
]
] | 10
| 10
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19
] |
[
[
0,
3
],
[
3,
6
],
[
3,
10
],
[
3,
4
],
[
3,
11
],
[
3,
12
],
[
3,
17
],
[
0,
18
],
[
0,
6
],
[
0,
4
],
[
0,
5
],
[
0,
7
],
[
0,
9
],
[
0,
14
],
[
0,
1
],
[
0,
13
],
[
0,
8
],
[
0,
2
],
[
7,
18
],
[
15,
18
],
[
6,
9
],
[
6,
19
],
[
10,
16
],
[
8,
10
],
[
5,
13
],
[
9,
15
],
[
14,
16
],
[
12,
16
],
[
14,
17
],
[
11,
15
],
[
1,
11
],
[
12,
19
],
[
2,
17
]
] | 20
| 33
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17
] |
[
[
10,
12
],
[
7,
13
],
[
1,
13
],
[
0,
13
],
[
13,
17
],
[
5,
13
],
[
1,
6
],
[
6,
11
],
[
6,
8
],
[
2,
6
],
[
1,
10
],
[
10,
11
],
[
9,
10
],
[
4,
10
],
[
3,
10
],
[
10,
17
],
[
10,
14
],
[
9,
11
],
[
9,
16
],
[
2,
9
],
[
0,
16
],
[
4,
16
],
[
5,
16
],
[
0,
15
],
[
3,
4
]
] | 18
| 25
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
2,
10,
12,
15,
17
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18
] |
[
[
3,
8
],
[
3,
9
],
[
1,
3
],
[
3,
13
],
[
3,
7
],
[
3,
4
],
[
3,
18
],
[
3,
16
],
[
3,
6
],
[
8,
11
],
[
8,
13
],
[
4,
8
],
[
6,
8
],
[
1,
11
],
[
1,
7
],
[
1,
5
],
[
11,
14
],
[
0,
13
],
[
13,
18
],
[
5,
13
],
[
0,
14
],
[
16,
18
],
[
2,
10
],
[
10,
17
],
[
10,
12
],
[
2,
12
],
[
2,
15
],
[
15,
17
],
[
10,
16
]
] | 19
| 29
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14
] |
[
[
2,
7
],
[
2,
8
],
[
2,
5
],
[
2,
13
],
[
2,
6
],
[
2,
4
],
[
1,
2
],
[
2,
14
],
[
2,
9
],
[
2,
3
],
[
7,
8
],
[
4,
7
],
[
7,
14
],
[
7,
9
],
[
5,
8
],
[
8,
11
],
[
5,
11
],
[
10,
13
],
[
6,
12
],
[
0,
6
],
[
4,
12
],
[
1,
12
],
[
0,
14
]
] | 15
| 23
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11
] |
[
[
7,
8
],
[
8,
10
],
[
6,
8
],
[
0,
8
],
[
1,
8
],
[
4,
8
],
[
5,
8
],
[
3,
7
],
[
7,
9
],
[
0,
7
],
[
3,
10
],
[
2,
10
],
[
3,
9
],
[
9,
11
],
[
2,
9
],
[
0,
5
],
[
1,
11
]
] | 12
| 17
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
2,
3,
5,
10,
12
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12
] |
[
[
7,
11
],
[
9,
11
],
[
1,
11
],
[
6,
7
],
[
4,
7
],
[
7,
9
],
[
0,
7
],
[
4,
6
],
[
3,
5
],
[
5,
10
],
[
2,
5
],
[
2,
3
],
[
3,
12
],
[
10,
12
],
[
11,
12
]
] | 13
| 15
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
1,
3,
4,
5,
7
] |
[
0,
1,
2,
3,
4,
5,
6,
7
] |
[
[
0,
6
],
[
2,
6
],
[
1,
4
],
[
1,
3
],
[
1,
5
],
[
4,
5
],
[
4,
7
],
[
3,
7
],
[
1,
6
]
] | 8
| 9
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
1,
4,
5,
6,
7
] |
[
0,
1,
2,
3,
4,
5,
6,
7
] |
[
[
0,
2
],
[
0,
3
],
[
2,
3
],
[
5,
7
],
[
4,
5
],
[
1,
5
],
[
1,
7
],
[
6,
7
],
[
4,
6
],
[
1,
2
]
] | 8
| 10
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16
] |
[
[
0,
15
],
[
14,
15
],
[
3,
15
],
[
11,
15
],
[
6,
15
],
[
4,
15
],
[
2,
15
],
[
0,
3
],
[
0,
11
],
[
0,
1
],
[
0,
16
],
[
10,
14
],
[
7,
14
],
[
4,
11
],
[
10,
11
],
[
8,
11
],
[
2,
11
],
[
5,
11
],
[
6,
9
],
[
6,
16
],
[
4,
7
],
[
4,
8
],
[
1,
13
],
[
12,
13
],
[
5,
13
],
[
7,
12
],
[
8,
9
]
] | 17
| 27
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8
] |
[
[
7,
8
],
[
2,
8
],
[
0,
5
],
[
5,
7
],
[
4,
5
],
[
3,
5
],
[
5,
6
],
[
0,
4
],
[
0,
2
],
[
1,
4
],
[
3,
6
]
] | 9
| 11
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9
] |
[
[
5,
6
],
[
5,
8
],
[
3,
5
],
[
1,
5
],
[
5,
7
],
[
6,
8
],
[
0,
6
],
[
1,
6
],
[
4,
6
],
[
0,
8
],
[
8,
9
],
[
0,
9
],
[
3,
9
],
[
7,
9
],
[
2,
9
],
[
1,
4
]
] | 10
| 16
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14
] |
[
[
3,
9
],
[
8,
9
],
[
2,
9
],
[
4,
9
],
[
3,
6
],
[
6,
8
],
[
0,
6
],
[
6,
7
],
[
6,
12
],
[
6,
13
],
[
0,
3
],
[
8,
10
],
[
5,
8
],
[
4,
8
],
[
1,
8
],
[
0,
7
],
[
0,
10
],
[
0,
2
],
[
0,
11
],
[
0,
14
],
[
7,
13
],
[
1,
7
],
[
10,
12
],
[
5,
10
],
[
10,
11
]
] | 15
| 25
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12
] |
[
[
0,
12
],
[
2,
6
],
[
1,
6
],
[
6,
7
],
[
5,
6
],
[
3,
6
],
[
2,
9
],
[
0,
1
],
[
1,
9
],
[
1,
8
],
[
1,
4
],
[
0,
11
],
[
0,
8
],
[
0,
3
],
[
7,
9
],
[
5,
8
],
[
5,
10
],
[
3,
4
]
] | 13
| 18
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
1,
6,
7,
8,
9
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9
] |
[
[
4,
5
],
[
0,
4
],
[
7,
8
],
[
1,
7
],
[
7,
9
],
[
8,
9
],
[
6,
8
],
[
1,
6
],
[
5,
8
]
] | 10
| 9
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
1,
2,
8,
9,
11
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11
] |
[
[
3,
4
],
[
3,
6
],
[
3,
10
],
[
3,
5
],
[
4,
6
],
[
4,
7
],
[
4,
5
],
[
7,
10
],
[
1,
8
],
[
8,
11
],
[
2,
8
],
[
1,
2
],
[
1,
9
],
[
9,
11
],
[
5,
9
]
] | 12
| 15
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
7,
8,
9,
10,
11
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17
] |
[
[
1,
2
],
[
2,
17
],
[
2,
14
],
[
2,
12
],
[
2,
3
],
[
2,
13
],
[
2,
15
],
[
0,
2
],
[
1,
6
],
[
6,
17
],
[
6,
12
],
[
5,
6
],
[
6,
13
],
[
6,
16
],
[
3,
5
],
[
5,
15
],
[
5,
16
],
[
0,
16
],
[
9,
11
],
[
7,
11
],
[
10,
11
],
[
9,
10
],
[
8,
9
],
[
7,
8
],
[
4,
11
]
] | 18
| 25
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16
] |
[
[
9,
16
],
[
11,
15
],
[
5,
15
],
[
0,
15
],
[
11,
12
],
[
5,
11
],
[
7,
11
],
[
4,
11
],
[
10,
12
],
[
1,
12
],
[
2,
12
],
[
6,
12
],
[
0,
12
],
[
9,
12
],
[
3,
12
],
[
8,
12
],
[
7,
12
],
[
12,
13
],
[
3,
5
],
[
2,
10
],
[
6,
10
],
[
10,
14
],
[
2,
4
],
[
0,
8
],
[
0,
13
]
] | 17
| 25
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16
] |
[
[
5,
8
],
[
4,
8
],
[
1,
8
],
[
6,
8
],
[
2,
8
],
[
0,
8
],
[
8,
11
],
[
9,
15
],
[
9,
14
],
[
5,
15
],
[
5,
10
],
[
4,
7
],
[
4,
13
],
[
4,
16
],
[
4,
12
],
[
1,
7
],
[
1,
3
],
[
1,
10
],
[
7,
13
],
[
7,
14
],
[
2,
7
],
[
13,
16
],
[
3,
13
],
[
6,
15
],
[
0,
15
],
[
6,
11
],
[
6,
12
]
] | 17
| 27
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
3,
4,
6,
8,
10
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12
] |
[
[
9,
12
],
[
0,
9
],
[
7,
9
],
[
2,
9
],
[
9,
11
],
[
1,
9
],
[
3,
8
],
[
8,
10
],
[
4,
8
],
[
3,
4
],
[
3,
6
],
[
6,
10
],
[
0,
10
]
] | 13
| 13
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12
] |
[
[
0,
11
],
[
0,
9
],
[
11,
12
],
[
4,
11
],
[
6,
11
],
[
5,
11
],
[
10,
11
],
[
4,
12
],
[
6,
12
],
[
3,
12
],
[
8,
12
],
[
5,
12
],
[
2,
12
],
[
7,
12
],
[
1,
6
],
[
1,
3
],
[
9,
10
],
[
2,
7
]
] | 13
| 18
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
4,
12,
13,
15,
19
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19
] |
[
[
0,
5
],
[
3,
6
],
[
3,
7
],
[
1,
6
],
[
1,
16
],
[
1,
11
],
[
1,
18
],
[
1,
17
],
[
6,
7
],
[
2,
6
],
[
6,
17
],
[
14,
16
],
[
7,
9
],
[
8,
14
],
[
9,
18
],
[
2,
8
],
[
0,
8
],
[
8,
10
],
[
0,
10
],
[
15,
19
],
[
12,
15
],
[
4,
15
],
[
4,
19
],
[
13,
19
],
[
12,
13
],
[
0,
15
]
] | 20
| 26
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8
] |
[
[
4,
8
],
[
0,
4
],
[
4,
7
],
[
1,
4
],
[
3,
4
],
[
2,
4
],
[
4,
5
],
[
4,
6
],
[
0,
1
],
[
0,
6
],
[
2,
7
],
[
1,
5
]
] | 9
| 12
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15
] |
[
[
2,
15
],
[
2,
6
],
[
11,
15
],
[
3,
15
],
[
9,
15
],
[
8,
15
],
[
10,
15
],
[
1,
15
],
[
14,
15
],
[
3,
11
],
[
4,
11
],
[
5,
11
],
[
3,
4
],
[
3,
8
],
[
0,
3
],
[
3,
10
],
[
3,
7
],
[
1,
6
],
[
4,
13
],
[
5,
9
],
[
9,
13
],
[
9,
14
],
[
0,
8
],
[
1,
12
],
[
1,
7
]
] | 16
| 25
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
1,
6,
10,
12,
16
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18
] |
[
[
3,
13
],
[
3,
17
],
[
0,
3
],
[
3,
18
],
[
3,
14
],
[
3,
15
],
[
3,
9
],
[
3,
4
],
[
3,
8
],
[
3,
5
],
[
2,
13
],
[
11,
13
],
[
0,
2
],
[
0,
14
],
[
2,
18
],
[
2,
11
],
[
2,
5
],
[
4,
18
],
[
7,
18
],
[
8,
11
],
[
7,
11
],
[
10,
16
],
[
12,
16
],
[
1,
16
],
[
1,
10
],
[
6,
10
],
[
6,
12
],
[
8,
12
]
] | 19
| 28
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18
] |
[
[
1,
5
],
[
5,
8
],
[
2,
5
],
[
5,
16
],
[
4,
5
],
[
5,
14
],
[
5,
18
],
[
5,
9
],
[
5,
7
],
[
0,
16
],
[
0,
13
],
[
0,
18
],
[
1,
17
],
[
2,
10
],
[
10,
17
],
[
10,
11
],
[
4,
10
],
[
10,
15
],
[
8,
15
],
[
11,
17
],
[
13,
17
],
[
3,
17
],
[
9,
17
],
[
6,
16
],
[
11,
12
],
[
11,
14
],
[
3,
13
],
[
4,
12
],
[
6,
12
],
[
7,
14
]
] | 19
| 30
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18
] |
[
[
2,
8
],
[
8,
14
],
[
8,
17
],
[
8,
9
],
[
5,
8
],
[
2,
13
],
[
2,
16
],
[
2,
4
],
[
2,
11
],
[
2,
7
],
[
2,
15
],
[
4,
13
],
[
12,
13
],
[
7,
13
],
[
13,
15
],
[
0,
13
],
[
5,
13
],
[
14,
16
],
[
14,
17
],
[
0,
14
],
[
16,
18
],
[
4,
11
],
[
1,
4
],
[
4,
6
],
[
10,
11
],
[
1,
12
],
[
10,
12
],
[
3,
12
],
[
6,
18
],
[
3,
18
],
[
9,
17
]
] | 19
| 31
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17
] |
[
[
5,
13
],
[
6,
13
],
[
5,
14
],
[
2,
14
],
[
10,
14
],
[
12,
14
],
[
14,
17
],
[
0,
14
],
[
2,
5
],
[
4,
5
],
[
5,
15
],
[
3,
5
],
[
5,
6
],
[
2,
4
],
[
2,
15
],
[
2,
16
],
[
3,
10
],
[
1,
4
],
[
1,
8
],
[
1,
17
],
[
1,
7
],
[
1,
11
],
[
3,
16
]
] | 18
| 23
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
1,
5,
8,
13,
17
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19
] |
[
[
0,
11
],
[
11,
16
],
[
11,
14
],
[
2,
15
],
[
2,
3
],
[
2,
12
],
[
2,
10
],
[
2,
7
],
[
2,
9
],
[
2,
14
],
[
15,
18
],
[
4,
15
],
[
3,
12
],
[
3,
10
],
[
3,
19
],
[
0,
6
],
[
12,
16
],
[
10,
18
],
[
7,
10
],
[
9,
10
],
[
16,
19
],
[
8,
13
],
[
5,
8
],
[
1,
8
],
[
1,
13
],
[
13,
17
],
[
5,
17
],
[
5,
12
]
] | 20
| 28
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7
] |
[
[
0,
1
],
[
0,
2
],
[
0,
7
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[
3,
5
],
[
2,
3
],
[
1,
7
],
[
5,
6
],
[
4,
7
]
] | 8
| 8
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
0,
3,
4,
9,
12
] |
[
0,
1,
2,
3,
4,
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11,
12,
13
] |
[
[
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[
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[
3,
9
],
[
3,
12
],
[
0,
12
],
[
9,
11
]
] | 14
| 19
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
1,
2,
7,
10,
12
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12
] |
[
[
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[
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[
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[
5,
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[
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[
1,
2
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[
1,
7
],
[
7,
12
],
[
10,
12
],
[
3,
7
]
] | 13
| 15
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
0,
1,
9,
14,
16
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16
] |
[
[
6,
7
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[
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[
8,
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],
[
8,
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[
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[
6,
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[
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[
2,
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[
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[
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[
4,
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[
13,
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16
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[
0,
16
],
[
0,
14
],
[
1,
14
],
[
0,
4
]
] | 17
| 23
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
1,
2,
3,
5,
10
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
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10
] |
[
[
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4,
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[
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4
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[
6,
9
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[
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[
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10
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[
1,
10
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[
3,
10
],
[
2,
3
],
[
2,
5
],
[
1,
5
],
[
2,
4
]
] | 11
| 13
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
7,
8,
10,
14,
18
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
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9,
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11,
12,
13,
14,
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16,
17,
18
] |
[
[
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[
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[
11,
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[
6,
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[
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[
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15
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[
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[
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[
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[
1,
3
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[
3,
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[
3,
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[
2,
3
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[
13,
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[
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[
1,
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[
7,
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[
10,
18
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[
8,
10
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[
7,
8
],
[
7,
14
],
[
14,
18
],
[
16,
18
]
] | 19
| 28
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17
] |
[
[
3,
5
],
[
3,
7
],
[
3,
6
],
[
5,
7
],
[
5,
17
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[
2,
5
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[
5,
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[
5,
6
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8,
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11,
14
],
[
1,
14
],
[
14,
16
],
[
1,
10
],
[
13,
16
]
] | 18
| 29
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9
] |
[
[
0,
4
],
[
2,
4
],
[
4,
9
],
[
1,
7
],
[
0,
9
],
[
5,
9
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[
6,
7
],
[
3,
7
],
[
7,
8
],
[
6,
8
],
[
5,
6
]
] | 10
| 11
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
0,
2,
3,
5,
6
] |
[
0,
1,
2,
3,
4,
5,
6,
7
] |
[
[
1,
7
],
[
4,
7
],
[
3,
6
],
[
5,
6
],
[
2,
6
],
[
2,
3
],
[
0,
3
],
[
0,
5
],
[
3,
4
]
] | 8
| 9
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17
] |
[
[
15,
17
],
[
9,
17
],
[
7,
17
],
[
11,
16
],
[
15,
16
],
[
14,
16
],
[
6,
16
],
[
2,
16
],
[
9,
16
],
[
12,
16
],
[
8,
16
],
[
7,
16
],
[
3,
16
],
[
13,
16
],
[
11,
14
],
[
6,
11
],
[
2,
11
],
[
10,
11
],
[
0,
11
],
[
1,
11
],
[
5,
11
],
[
1,
15
],
[
6,
8
],
[
6,
10
],
[
0,
2
],
[
9,
12
],
[
9,
13
],
[
4,
8
],
[
4,
10
],
[
1,
3
]
] | 18
| 30
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8
] |
[
[
0,
7
],
[
7,
8
],
[
3,
7
],
[
2,
7
],
[
0,
8
],
[
0,
5
],
[
0,
2
],
[
0,
6
],
[
3,
8
],
[
1,
8
],
[
4,
8
],
[
1,
5
],
[
1,
6
]
] | 9
| 13
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
0,
1,
3,
11,
17
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18
] |
[
[
7,
18
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[
7,
8
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[
2,
7
],
[
5,
7
],
[
7,
9
],
[
2,
12
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[
6,
12
],
[
4,
18
],
[
8,
16
],
[
8,
13
],
[
2,
16
],
[
2,
13
],
[
2,
10
],
[
14,
16
],
[
4,
5
],
[
5,
14
],
[
5,
15
],
[
5,
10
],
[
6,
13
],
[
9,
14
],
[
3,
17
],
[
1,
17
],
[
11,
17
],
[
3,
11
],
[
0,
3
],
[
0,
1
],
[
0,
8
]
] | 19
| 27
|
MotifQA
Dataset Summary
MotifQA is a synthetic graph question-answering benchmark focused on detecting graph motifs inside small random graphs. Each example pairs a textual prompt with an answer sentence, a list of nodes highlighted as the motif (when present), and an explicit graph description(nodes and edges). In this QA dataset, all graphs are homogenous and undirected. Subsets cover both yes/no motif detection and motif-type classification (house vs 5-cycle).
Subsets
ba_shapes(default): Detect a five-node house motif inside Barabási–Albert graphs.tree_cycle: Detect a 6-node cycle inside random binary trees.tree_grid: Detect a 3×3 grid motif inside random binary trees.ba_two_motifs: Classify whether a Barabási–Albert graph contains a house motif or a 5-cycle motif (every graph has exactly one of the two).
Dataset Structure
Data Fields
prompt(string): Natural-language question about the presence of motif.response(string): Short-form answer sentence. e.g.,"Yes, there is a motif."or"No, there is no motif.".motif_nodes(List[int]): Node indices comprising the motif; empty list when the motif is absent.nodes(List[int]): Enumeration of all node identifiers in the graph (ranges from0tonnodes - 1).edges(List[List[int]]): List of undirected edges; every edge appears once as[min_node, max_node].nnodes(int): Total number of nodes.nedges(int): Total number of edges.
Data Splits
| Subset | Split | Total | Positive | Negative |
|---|---|---|---|---|
| ba_shapes | Train | 1000 | 511 | 489 |
| ba_shapes | Val | 500 | 246 | 254 |
| ba_shapes | Test | 500 | 243 | 257 |
| tree_cycle | Train | 1000 | 496 | 504 |
| tree_cycle | Val | 500 | 245 | 255 |
| tree_cycle | Test | 500 | 259 | 241 |
| tree_grid | Train | 1000 | 508 | 492 |
| tree_grid | Val | 500 | 242 | 258 |
| tree_grid | Test | 500 | 250 | 250 |
Detection subsets are approximately balanced across splits. The ba_two_motifs subset contains only motif-bearing graphs; label counts are:
| Subset | Split | Total | House | Cycle |
|---|---|---|---|---|
| ba_two_motifs | Train | 1000 | 513 | 487 |
| ba_two_motifs | Val | 500 | 241 | 259 |
| ba_two_motifs | Test | 500 | 246 | 254 |
Node Count Distribution
Node counts depend on the underlying base generator and motif size:
ba_shapes(Barabási–Albert,num_edges = 2): 8–20 nodes.tree_cycle(Prüfer trees + 6-cycle motif): 10–20 nodes.tree_grid(Prüfer trees + 3×3 grid motif): 10–20 nodes.ba_two_motifs(Barabási–Albert; house vs 5-cycle motifs): 8–20 nodes.
Observed frequencies across the full 2,000-example splits for each subset are shown in the per-subset histograms.
Data Creation
Source Data
All examples are synthetically generated using PyTorch Geometric (2.7.0) primitives:
- Detection subsets: positive samples start from certain base graphs whose node counts are drawn from a uniform distribution before a motif is injected, yielding final graphs with 8–20 or 10-20 nodes depending on the type of base graphs (BA or tree).
Negative samples use the same process with node counts drawn from
range(MIN_NODES, MAX_NODES + 1)and no motif. ba_two_motifs: both classes contain motifs injected into Barabási–Albert graphs—house motifs vs 5-cycle motifs—with final graphs spanning 8–20 nodes.
Generation Process
- Create class-specific graph pools (
ExplainerDatasetfor motif-bearing graphs andNegativeGraphsfor motif-free graphs, or two differentExplainerDatasetinstances forba_two_motifs). - Randomly shuffle node indices via the custom
ShuffleNodestransform to prevent positional bias. - Convert graphs to text QA format:
- Construct the prompt and answer sentence.
- Record motif node indices and extract the explicit graph topology.
- Shuffle and split into train/validation/test partitions (50/25/25).
- Serialize each subset to JSON Lines (
train.jsonl,val.jsonl,test.jsonl).
Visualization utilities (src/utils.py) can render example graphs with highlighted motifs;
pre-generated figures are stored in fig/.
Annotations
Annotations are automatically derived from the generation pipeline; no human annotation was performed.
Considerations for Using the Data
- Edges are stored once per undirected connection with node identifiers sorted; duplicate each entry if your pipeline expects bidirectional edges.
- Natural-language responses are templated sentences, so linguistic diversity is limited.
Usage
Loading with 🤗 Datasets
from datasets import load_dataset
ds = load_dataset("naoki/motif-qa", name="ba_shapes")
print(ds["train"][0]["response"])
Working with Graph Topology
import torch
from torch_geometric.data import Data
from src.utils import visualize_graph
example = ds["train"][0]
# Build a PyG data object from the serialized edge list.
edge_index = torch.tensor(example["edges"], dtype=torch.long).t().contiguous()
graph = Data(edge_index=edge_index, num_nodes=example["nnodes"])
# Attach the motif mask expected by `visualize_graph`.
graph.node_mask = torch.zeros(example["nnodes"])
graph.node_mask[example["motif_nodes"]] = 1
visualize_graph(graph, "motif_example.png")
The script saves a PNG with motif nodes highlighted in orange.
Use absolute imports (e.g., from motif_qa.src.utils import visualize_graph) if you install the project as a package.
Interactive Viewer (Streamlit)
Launch the interactive graph viewer:
streamlit run viewer.py
The sidebar lets you pick the dataset source (local JSONL or Hugging Face Hub), subset, split, and sample index. You can switch between an interactive PyVis view and a static NetworkX view to intuitively understand graph structures.
Regenerating the Dataset Locally
python generator.py \
--num-pos-samples 1000 \
--num-neg-samples 1000 \
--out-dir data
This command reproduces 2,000 examples and overwrites the JSONL files.
Validating with datasets-cli
Run the standard Hugging Face check from the repository root:
datasets-cli test . --all_configs
The command materializes the ba_shapes subset via the built-in JSON loader.
Limitations and Biases
- Only a house motif is considered; absence of other motifs may bias models toward motif-specific heuristics.
- Graph topologies follow Barabási–Albert statistics; performance on other graph families is untested.
- Answers are deterministic and class-balanced, so real-world noise is not represented.
License
Released under the MIT License.
Citation
If you use this dataset, please cite the repository:
@software{motifqa2025,
author = {Naoki Shimoda},
title = {MotifQA: Synthetic Graph Motif Question Answering Dataset},
year = {2025},
url = {https://huggingface.co/datasets/naos-ku/motif-qa}
}
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