Datasets:
prompt
stringclasses 1
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36
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No, there is no motif.
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Is there a house motif in this graph?
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No, there is no motif.
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Is there a house motif in this graph?
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Yes, there is a motif.
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Is there a house motif in this graph?
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No, there is no motif.
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Is there a house motif in this graph?
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Yes, there is a motif.
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Is there a house motif in this graph?
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Yes, there is a motif.
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Is there a house motif in this graph?
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Yes, there is a motif.
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Is there a house motif in this graph?
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Yes, there is a motif.
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Is there a house motif in this graph?
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Yes, there is a motif.
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| 26
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Is there a house motif in this graph?
|
Yes, there is a motif.
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Is there a house motif in this graph?
|
No, there is no motif.
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| 19
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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?
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Is there a house motif in this graph?
|
Yes, there is a motif.
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Is there a house motif in this graph?
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No, there is no motif.
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| 27
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Is there a house motif in this graph?
|
No, there is no motif.
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| 14
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Is there a house motif in this graph?
|
No, there is no motif.
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| 20
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Is there a house motif in this graph?
|
No, there is no motif.
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| 19
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Is there a house motif in this graph?
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No, there is no motif.
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17
],
[
5,
9
],
[
6,
18
],
[
0,
4
],
[
0,
7
],
[
1,
16
]
] | 19
| 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
] |
[
[
0,
1
],
[
0,
2
],
[
0,
5
],
[
0,
11
],
[
6,
8
],
[
7,
8
],
[
8,
9
],
[
8,
10
],
[
5,
8
],
[
4,
8
],
[
1,
6
],
[
3,
6
],
[
4,
6
],
[
1,
11
],
[
4,
7
],
[
9,
10
],
[
2,
3
]
] | 12
| 17
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
0,
2,
3,
6,
9
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15
] |
[
[
4,
10
],
[
4,
14
],
[
1,
4
],
[
4,
8
],
[
10,
13
],
[
11,
13
],
[
5,
13
],
[
12,
15
],
[
5,
15
],
[
1,
12
],
[
5,
7
],
[
5,
14
],
[
5,
8
],
[
7,
14
],
[
7,
8
],
[
6,
9
],
[
3,
6
],
[
0,
6
],
[
0,
9
],
[
2,
9
],
[
2,
3
],
[
9,
10
]
] | 16
| 22
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
3,
7,
9,
15,
16
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19
] |
[
[
5,
19
],
[
5,
12
],
[
5,
11
],
[
5,
18
],
[
12,
19
],
[
1,
19
],
[
4,
19
],
[
2,
19
],
[
13,
19
],
[
10,
19
],
[
6,
19
],
[
17,
19
],
[
18,
19
],
[
8,
19
],
[
1,
12
],
[
12,
14
],
[
0,
1
],
[
2,
4
],
[
4,
17
],
[
0,
14
],
[
0,
6
],
[
0,
17
],
[
0,
8
],
[
13,
17
],
[
8,
18
],
[
7,
16
],
[
7,
9
],
[
7,
15
],
[
15,
16
],
[
3,
16
],
[
3,
9
],
[
11,
16
]
] | 20
| 32
|
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
] |
[
[
4,
11
],
[
4,
7
],
[
3,
4
],
[
4,
8
],
[
4,
5
],
[
2,
9
],
[
9,
10
],
[
0,
9
],
[
6,
9
],
[
1,
2
],
[
2,
6
],
[
3,
7
],
[
7,
10
],
[
3,
8
],
[
1,
8
]
] | 12
| 15
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
4,
5,
6,
10,
15
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19
] |
[
[
0,
2
],
[
2,
3
],
[
2,
16
],
[
2,
14
],
[
1,
2
],
[
2,
7
],
[
2,
9
],
[
0,
18
],
[
0,
17
],
[
1,
3
],
[
3,
11
],
[
3,
12
],
[
11,
18
],
[
17,
18
],
[
8,
18
],
[
9,
18
],
[
13,
18
],
[
14,
16
],
[
1,
14
],
[
7,
14
],
[
14,
19
],
[
1,
13
],
[
11,
19
],
[
9,
17
],
[
12,
17
],
[
5,
10
],
[
6,
10
],
[
10,
15
],
[
5,
15
],
[
4,
5
],
[
4,
6
],
[
4,
17
]
] | 20
| 32
|
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
] |
[
[
5,
10
],
[
2,
5
],
[
1,
5
],
[
5,
9
],
[
5,
6
],
[
4,
5
],
[
5,
7
],
[
5,
8
],
[
10,
13
],
[
3,
10
],
[
2,
10
],
[
10,
11
],
[
1,
10
],
[
10,
12
],
[
0,
10
],
[
8,
10
],
[
1,
13
],
[
6,
13
],
[
7,
13
],
[
1,
3
],
[
3,
12
],
[
0,
2
],
[
4,
9
],
[
7,
9
]
] | 14
| 24
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
4,
12,
14,
15,
17
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17
] |
[
[
3,
5
],
[
8,
10
],
[
8,
16
],
[
1,
8
],
[
8,
9
],
[
7,
8
],
[
8,
13
],
[
10,
16
],
[
1,
10
],
[
9,
10
],
[
6,
10
],
[
0,
10
],
[
1,
11
],
[
1,
7
],
[
3,
11
],
[
7,
9
],
[
9,
13
],
[
0,
2
],
[
12,
17
],
[
12,
15
],
[
4,
12
],
[
4,
17
],
[
14,
17
],
[
14,
15
],
[
6,
15
]
] | 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
],
[
0,
16
],
[
13,
16
],
[
7,
16
],
[
8,
16
],
[
10,
16
],
[
6,
16
],
[
1,
16
],
[
11,
16
],
[
2,
16
],
[
4,
9
],
[
9,
10
],
[
6,
9
],
[
1,
9
],
[
9,
11
],
[
3,
9
],
[
0,
12
],
[
5,
13
],
[
4,
5
],
[
5,
15
],
[
8,
15
],
[
8,
11
],
[
4,
12
],
[
10,
14
],
[
3,
10
],
[
1,
2
]
] | 17
| 26
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
3,
7,
10,
15,
16
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17
] |
[
[
0,
2
],
[
2,
14
],
[
0,
14
],
[
0,
12
],
[
0,
5
],
[
12,
14
],
[
14,
17
],
[
1,
14
],
[
13,
14
],
[
11,
12
],
[
12,
13
],
[
6,
8
],
[
5,
6
],
[
6,
13
],
[
9,
11
],
[
4,
11
],
[
4,
8
],
[
8,
13
],
[
3,
15
],
[
10,
15
],
[
7,
15
],
[
3,
7
],
[
3,
16
],
[
10,
16
],
[
10,
14
]
] | 18
| 25
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
5,
7,
15,
18,
19
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19
] |
[
[
11,
16
],
[
2,
16
],
[
10,
16
],
[
6,
12
],
[
4,
6
],
[
6,
14
],
[
6,
10
],
[
8,
12
],
[
8,
11
],
[
8,
9
],
[
3,
8
],
[
8,
13
],
[
0,
8
],
[
4,
12
],
[
12,
13
],
[
2,
4
],
[
4,
17
],
[
11,
14
],
[
9,
14
],
[
3,
14
],
[
1,
14
],
[
7,
18
],
[
15,
18
],
[
18,
19
],
[
7,
19
],
[
5,
7
],
[
5,
15
],
[
3,
19
]
] | 20
| 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
] |
[
[
4,
11
],
[
2,
4
],
[
4,
12
],
[
4,
7
],
[
4,
9
],
[
4,
13
],
[
5,
6
],
[
5,
14
],
[
3,
5
],
[
1,
5
],
[
0,
6
],
[
0,
14
],
[
0,
13
],
[
6,
7
],
[
2,
11
],
[
11,
14
],
[
11,
12
],
[
2,
10
],
[
8,
10
],
[
10,
15
],
[
8,
15
],
[
12,
13
],
[
1,
13
]
] | 16
| 23
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
0,
6,
7,
8,
12
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14
] |
[
[
4,
14
],
[
4,
9
],
[
9,
14
],
[
3,
14
],
[
1,
9
],
[
9,
13
],
[
9,
11
],
[
3,
9
],
[
9,
10
],
[
2,
11
],
[
5,
11
],
[
5,
10
],
[
0,
7
],
[
0,
6
],
[
0,
8
],
[
7,
8
],
[
7,
12
],
[
6,
12
],
[
0,
5
]
] | 15
| 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,
13,
14,
15,
16
] |
[
[
2,
15
],
[
2,
9
],
[
2,
8
],
[
1,
2
],
[
2,
5
],
[
2,
11
],
[
2,
12
],
[
2,
13
],
[
9,
10
],
[
6,
10
],
[
3,
10
],
[
10,
14
],
[
1,
15
],
[
4,
9
],
[
0,
4
],
[
4,
7
],
[
4,
8
],
[
4,
5
],
[
4,
11
],
[
4,
12
],
[
4,
13
],
[
4,
16
],
[
6,
9
],
[
3,
6
],
[
0,
7
],
[
0,
1
],
[
11,
13
]
] | 17
| 27
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
0,
3,
7,
17,
19
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19
] |
[
[
1,
13
],
[
1,
4
],
[
5,
13
],
[
2,
13
],
[
13,
15
],
[
13,
16
],
[
8,
13
],
[
4,
13
],
[
13,
14
],
[
12,
13
],
[
13,
18
],
[
9,
10
],
[
4,
9
],
[
9,
11
],
[
5,
16
],
[
5,
14
],
[
5,
11
],
[
2,
15
],
[
2,
8
],
[
2,
12
],
[
2,
18
],
[
6,
15
],
[
6,
12
],
[
6,
11
],
[
0,
3
],
[
0,
19
],
[
0,
17
],
[
3,
17
],
[
3,
7
],
[
7,
19
],
[
3,
10
]
] | 20
| 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,
18,
19
] |
[
[
3,
4
],
[
0,
4
],
[
1,
4
],
[
4,
14
],
[
4,
18
],
[
4,
11
],
[
4,
8
],
[
2,
3
],
[
2,
13
],
[
1,
2
],
[
2,
15
],
[
2,
19
],
[
2,
17
],
[
2,
7
],
[
2,
11
],
[
2,
8
],
[
3,
6
],
[
3,
12
],
[
3,
16
],
[
5,
13
],
[
9,
13
],
[
0,
14
],
[
1,
12
],
[
14,
15
],
[
5,
18
],
[
17,
18
],
[
12,
19
],
[
10,
12
],
[
8,
12
],
[
10,
17
],
[
7,
16
],
[
9,
16
]
] | 20
| 32
|
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
] |
[
[
5,
13
],
[
3,
5
],
[
4,
5
],
[
5,
6
],
[
2,
5
],
[
1,
9
],
[
8,
9
],
[
9,
14
],
[
7,
9
],
[
1,
13
],
[
10,
13
],
[
12,
13
],
[
4,
13
],
[
11,
13
],
[
3,
7
],
[
1,
10
],
[
1,
8
],
[
2,
14
],
[
7,
12
],
[
0,
12
],
[
4,
12
],
[
0,
7
],
[
2,
7
],
[
0,
4
]
] | 15
| 24
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10
] |
[
[
2,
7
],
[
4,
7
],
[
2,
6
],
[
2,
9
],
[
2,
3
],
[
1,
2
],
[
0,
6
],
[
5,
6
],
[
6,
9
],
[
3,
6
],
[
6,
10
],
[
6,
8
],
[
0,
3
],
[
4,
8
],
[
1,
4
],
[
9,
10
]
] | 11
| 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
] |
[
[
8,
9
],
[
7,
9
],
[
9,
16
],
[
6,
9
],
[
9,
11
],
[
4,
9
],
[
9,
17
],
[
9,
14
],
[
5,
9
],
[
9,
12
],
[
2,
3
],
[
3,
6
],
[
3,
11
],
[
8,
13
],
[
10,
13
],
[
7,
8
],
[
8,
11
],
[
8,
12
],
[
2,
16
],
[
16,
17
],
[
15,
16
],
[
2,
14
],
[
6,
11
],
[
4,
10
],
[
0,
10
],
[
1,
10
],
[
1,
4
],
[
4,
5
],
[
14,
17
],
[
1,
5
],
[
5,
12
]
] | 18
| 31
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
1,
4,
7,
11,
12
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13
] |
[
[
9,
13
],
[
2,
9
],
[
3,
9
],
[
5,
9
],
[
0,
9
],
[
8,
10
],
[
0,
10
],
[
6,
8
],
[
5,
6
],
[
1,
4
],
[
1,
11
],
[
1,
12
],
[
4,
12
],
[
4,
7
],
[
7,
11
],
[
4,
10
]
] | 14
| 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
] |
[
[
9,
10
],
[
0,
10
],
[
7,
9
],
[
3,
9
],
[
0,
4
],
[
0,
7
],
[
0,
5
],
[
0,
2
],
[
0,
1
],
[
2,
5
],
[
5,
6
],
[
5,
8
],
[
2,
3
],
[
2,
6
]
] | 11
| 14
|
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,
6
],
[
5,
6
],
[
3,
6
],
[
2,
10
],
[
10,
14
],
[
8,
10
],
[
9,
10
],
[
7,
10
],
[
5,
10
],
[
2,
13
],
[
9,
13
],
[
7,
13
],
[
3,
13
],
[
8,
14
],
[
12,
14
],
[
14,
15
],
[
8,
11
],
[
4,
8
],
[
0,
9
],
[
1,
9
],
[
0,
7
],
[
3,
4
],
[
1,
3
]
] | 16
| 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,
12,
13,
14,
15,
16,
17,
18,
19
] |
[
[
14,
19
],
[
13,
19
],
[
1,
19
],
[
3,
19
],
[
6,
19
],
[
4,
19
],
[
8,
19
],
[
13,
14
],
[
12,
14
],
[
0,
14
],
[
12,
18
],
[
17,
18
],
[
16,
18
],
[
10,
18
],
[
1,
3
],
[
1,
11
],
[
1,
15
],
[
1,
10
],
[
1,
4
],
[
1,
9
],
[
1,
8
],
[
11,
17
],
[
16,
17
],
[
2,
17
],
[
11,
15
],
[
4,
15
],
[
7,
15
],
[
5,
15
],
[
8,
15
],
[
2,
7
],
[
2,
5
],
[
4,
9
]
] | 20
| 32
|
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,
11
],
[
1,
2
],
[
2,
10
],
[
2,
6
],
[
2,
7
],
[
2,
4
],
[
1,
3
],
[
1,
5
],
[
1,
6
],
[
1,
4
],
[
5,
8
],
[
8,
9
],
[
0,
8
],
[
0,
5
],
[
6,
12
]
] | 13
| 15
|
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
] |
[
[
6,
11
],
[
3,
6
],
[
1,
6
],
[
0,
6
],
[
6,
10
],
[
6,
9
],
[
7,
12
],
[
8,
12
],
[
5,
12
],
[
4,
12
],
[
10,
12
],
[
2,
12
],
[
1,
3
],
[
3,
7
],
[
5,
8
],
[
0,
8
],
[
4,
5
],
[
0,
4
],
[
2,
9
]
] | 13
| 19
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
0,
1,
6,
8,
19
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19
] |
[
[
9,
11
],
[
9,
10
],
[
4,
15
],
[
4,
7
],
[
3,
4
],
[
4,
13
],
[
4,
16
],
[
4,
17
],
[
7,
18
],
[
2,
18
],
[
12,
18
],
[
17,
18
],
[
11,
15
],
[
7,
11
],
[
5,
7
],
[
7,
14
],
[
2,
16
],
[
3,
13
],
[
3,
10
],
[
11,
12
],
[
12,
16
],
[
5,
16
],
[
5,
17
],
[
1,
6
],
[
1,
8
],
[
0,
1
],
[
0,
6
],
[
6,
19
],
[
8,
19
],
[
1,
18
]
] | 20
| 30
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
0,
4,
6,
8,
11
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11
] |
[
[
3,
7
],
[
1,
9
],
[
1,
10
],
[
1,
5
],
[
1,
2
],
[
2,
9
],
[
6,
8
],
[
6,
11
],
[
4,
6
],
[
4,
8
],
[
0,
8
],
[
0,
11
],
[
5,
6
]
] | 12
| 13
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
3,
6,
7,
8,
10
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10
] |
[
[
4,
5
],
[
2,
4
],
[
0,
9
],
[
0,
1
],
[
1,
5
],
[
6,
7
],
[
7,
8
],
[
3,
7
],
[
3,
6
],
[
6,
10
],
[
8,
10
],
[
0,
6
]
] | 11
| 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
] |
[
[
2,
10
],
[
9,
10
],
[
6,
10
],
[
1,
10
],
[
10,
13
],
[
3,
10
],
[
10,
11
],
[
4,
10
],
[
2,
9
],
[
2,
6
],
[
2,
13
],
[
2,
8
],
[
2,
5
],
[
0,
9
],
[
3,
9
],
[
1,
11
],
[
12,
13
],
[
5,
8
],
[
7,
12
],
[
4,
7
]
] | 14
| 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
] |
[
[
4,
10
],
[
4,
7
],
[
6,
10
],
[
0,
6
],
[
5,
6
],
[
6,
9
],
[
1,
10
],
[
3,
10
],
[
1,
8
],
[
2,
8
],
[
0,
2
],
[
1,
7
],
[
1,
5
]
] | 11
| 13
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
2,
4,
8,
10,
17
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18
] |
[
[
12,
14
],
[
6,
14
],
[
0,
14
],
[
14,
16
],
[
14,
15
],
[
5,
12
],
[
5,
6
],
[
5,
7
],
[
5,
16
],
[
5,
15
],
[
1,
5
],
[
3,
5
],
[
5,
9
],
[
5,
13
],
[
12,
15
],
[
7,
18
],
[
0,
7
],
[
11,
18
],
[
1,
11
],
[
3,
9
],
[
10,
17
],
[
8,
17
],
[
2,
17
],
[
2,
10
],
[
4,
10
],
[
4,
8
],
[
10,
18
]
] | 19
| 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
] |
[
[
9,
15
],
[
4,
15
],
[
1,
15
],
[
14,
15
],
[
7,
15
],
[
2,
15
],
[
5,
15
],
[
10,
15
],
[
8,
12
],
[
1,
12
],
[
12,
14
],
[
6,
12
],
[
5,
12
],
[
3,
8
],
[
4,
8
],
[
8,
13
],
[
7,
8
],
[
8,
10
],
[
2,
9
],
[
3,
13
],
[
0,
4
],
[
1,
11
],
[
10,
11
]
] | 16
| 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
] |
[
[
2,
10
],
[
2,
7
],
[
2,
6
],
[
2,
4
],
[
2,
3
],
[
1,
2
],
[
2,
8
],
[
0,
2
],
[
4,
10
],
[
5,
10
],
[
8,
10
],
[
0,
10
],
[
7,
9
],
[
7,
8
],
[
6,
9
],
[
3,
6
],
[
4,
8
],
[
5,
9
]
] | 11
| 18
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
0,
1,
3,
4,
11
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11
] |
[
[
5,
10
],
[
5,
7
],
[
5,
8
],
[
6,
10
],
[
2,
7
],
[
2,
9
],
[
3,
4
],
[
0,
3
],
[
1,
3
],
[
1,
4
],
[
4,
11
],
[
0,
11
],
[
1,
5
]
] | 12
| 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
] |
[
[
4,
9
],
[
2,
9
],
[
3,
9
],
[
5,
9
],
[
9,
10
],
[
6,
9
],
[
9,
11
],
[
1,
9
],
[
0,
3
],
[
0,
5
],
[
0,
8
],
[
0,
11
],
[
0,
1
],
[
4,
7
],
[
6,
8
],
[
7,
8
]
] | 12
| 16
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
4,
5,
6,
7,
8
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11
] |
[
[
9,
10
],
[
1,
10
],
[
0,
11
],
[
0,
3
],
[
0,
2
],
[
0,
9
],
[
1,
11
],
[
6,
7
],
[
5,
6
],
[
6,
8
],
[
7,
8
],
[
4,
7
],
[
4,
5
],
[
5,
10
]
] | 12
| 14
|
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
] |
[
[
4,
6
],
[
6,
9
],
[
1,
6
],
[
5,
6
],
[
10,
11
],
[
8,
11
],
[
2,
11
],
[
5,
11
],
[
0,
7
],
[
7,
12
],
[
4,
10
],
[
0,
10
],
[
9,
10
],
[
3,
8
],
[
8,
12
],
[
0,
1
],
[
0,
5
],
[
1,
3
]
] | 13
| 18
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
0,
3,
7,
9,
11
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11
] |
[
[
4,
8
],
[
2,
4
],
[
4,
10
],
[
1,
4
],
[
2,
5
],
[
5,
10
],
[
5,
6
],
[
7,
9
],
[
3,
9
],
[
9,
11
],
[
7,
11
],
[
0,
7
],
[
0,
3
],
[
2,
7
]
] | 12
| 14
|
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
] |
[
[
4,
11
],
[
2,
4
],
[
4,
7
],
[
4,
5
],
[
4,
8
],
[
3,
4
],
[
0,
4
],
[
4,
10
],
[
7,
9
],
[
8,
9
],
[
6,
9
],
[
3,
9
],
[
1,
9
],
[
9,
10
],
[
5,
11
],
[
0,
2
],
[
1,
6
]
] | 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,
13,
14,
15,
16,
17
] |
[
[
8,
13
],
[
2,
8
],
[
1,
11
],
[
1,
7
],
[
1,
9
],
[
1,
4
],
[
13,
17
],
[
12,
13
],
[
0,
13
],
[
2,
13
],
[
9,
13
],
[
13,
16
],
[
5,
11
],
[
5,
7
],
[
5,
14
],
[
5,
16
],
[
4,
5
],
[
12,
17
],
[
15,
17
],
[
10,
17
],
[
3,
17
],
[
10,
12
],
[
11,
15
],
[
3,
11
],
[
6,
11
],
[
6,
10
],
[
3,
14
],
[
3,
4
],
[
2,
14
]
] | 18
| 29
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
0,
7,
12,
14,
15
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19
] |
[
[
2,
3
],
[
2,
11
],
[
1,
2
],
[
2,
9
],
[
2,
8
],
[
2,
13
],
[
3,
9
],
[
3,
8
],
[
3,
17
],
[
11,
19
],
[
11,
18
],
[
10,
11
],
[
11,
16
],
[
4,
11
],
[
5,
11
],
[
11,
13
],
[
1,
6
],
[
17,
19
],
[
10,
19
],
[
16,
19
],
[
5,
19
],
[
10,
16
],
[
6,
10
],
[
5,
10
],
[
6,
16
],
[
7,
12
],
[
0,
12
],
[
12,
15
],
[
7,
15
],
[
7,
14
],
[
0,
14
],
[
14,
16
]
] | 20
| 32
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
0,
6,
10,
11,
12
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14
] |
[
[
1,
4
],
[
1,
14
],
[
1,
13
],
[
1,
2
],
[
4,
8
],
[
4,
7
],
[
8,
9
],
[
7,
8
],
[
5,
8
],
[
3,
8
],
[
9,
14
],
[
2,
13
],
[
2,
3
],
[
10,
12
],
[
10,
11
],
[
0,
10
],
[
0,
12
],
[
6,
12
],
[
6,
11
],
[
0,
4
]
] | 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
] |
[
[
9,
10
],
[
4,
10
],
[
10,
12
],
[
9,
14
],
[
6,
9
],
[
9,
11
],
[
4,
9
],
[
1,
9
],
[
5,
8
],
[
5,
11
],
[
5,
7
],
[
3,
14
],
[
8,
14
],
[
7,
14
],
[
0,
14
],
[
3,
13
],
[
6,
8
],
[
8,
13
],
[
2,
8
],
[
1,
2
]
] | 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
] |
[
[
9,
15
],
[
0,
15
],
[
1,
15
],
[
15,
16
],
[
14,
15
],
[
10,
15
],
[
7,
15
],
[
4,
15
],
[
6,
15
],
[
5,
15
],
[
0,
8
],
[
1,
8
],
[
6,
8
],
[
3,
9
],
[
9,
11
],
[
9,
14
],
[
9,
13
],
[
4,
9
],
[
3,
11
],
[
3,
12
],
[
7,
16
],
[
4,
11
],
[
2,
11
],
[
5,
10
],
[
7,
12
]
] | 17
| 25
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
0,
7,
8,
11,
12
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19
] |
[
[
3,
19
],
[
3,
16
],
[
2,
3
],
[
3,
9
],
[
3,
15
],
[
3,
4
],
[
3,
14
],
[
5,
16
],
[
2,
5
],
[
5,
10
],
[
5,
14
],
[
5,
18
],
[
13,
16
],
[
10,
13
],
[
4,
13
],
[
2,
19
],
[
10,
19
],
[
1,
19
],
[
17,
19
],
[
4,
19
],
[
6,
16
],
[
6,
18
],
[
2,
17
],
[
1,
14
],
[
8,
11
],
[
0,
8
],
[
7,
8
],
[
7,
11
],
[
11,
12
],
[
0,
12
],
[
7,
10
]
] | 20
| 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
] |
[
[
8,
14
],
[
10,
14
],
[
4,
14
],
[
2,
14
],
[
0,
14
],
[
9,
13
],
[
12,
13
],
[
13,
16
],
[
13,
15
],
[
11,
13
],
[
13,
17
],
[
6,
13
],
[
4,
13
],
[
0,
13
],
[
9,
12
],
[
1,
7
],
[
8,
12
],
[
8,
10
],
[
1,
8
],
[
12,
15
],
[
12,
17
],
[
10,
16
],
[
2,
10
],
[
5,
15
],
[
3,
17
],
[
5,
17
]
] | 18
| 26
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
0,
1,
2,
5,
6
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9
] |
[
[
3,
7
],
[
7,
9
],
[
3,
9
],
[
3,
8
],
[
8,
9
],
[
4,
9
],
[
0,
1
],
[
0,
5
],
[
0,
2
],
[
1,
2
],
[
1,
6
],
[
5,
6
],
[
2,
8
]
] | 10
| 13
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
0,
1,
2,
4,
9
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10
] |
[
[
5,
6
],
[
6,
7
],
[
5,
10
],
[
3,
10
],
[
8,
10
],
[
7,
10
],
[
1,
9
],
[
2,
9
],
[
0,
9
],
[
0,
1
],
[
1,
4
],
[
2,
4
],
[
4,
8
]
] | 11
| 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,
13,
14,
15,
16,
17,
18
] |
[
[
14,
18
],
[
8,
14
],
[
1,
14
],
[
5,
14
],
[
7,
14
],
[
10,
14
],
[
12,
14
],
[
14,
16
],
[
0,
18
],
[
0,
8
],
[
0,
10
],
[
0,
16
],
[
6,
18
],
[
4,
18
],
[
13,
18
],
[
17,
18
],
[
9,
18
],
[
2,
18
],
[
5,
6
],
[
8,
9
],
[
1,
4
],
[
4,
5
],
[
4,
15
],
[
3,
4
],
[
1,
13
],
[
10,
13
],
[
11,
13
],
[
12,
17
],
[
7,
9
],
[
7,
15
],
[
2,
10
]
] | 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
] |
[
[
0,
4
],
[
0,
6
],
[
0,
3
],
[
4,
6
],
[
4,
12
],
[
3,
4
],
[
4,
11
],
[
1,
4
],
[
4,
10
],
[
4,
8
],
[
4,
14
],
[
4,
9
],
[
4,
7
],
[
4,
5
],
[
2,
13
],
[
6,
12
],
[
3,
12
],
[
10,
12
],
[
2,
11
],
[
1,
9
],
[
5,
7
]
] | 15
| 21
|
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
] |
[
[
2,
15
],
[
0,
15
],
[
7,
15
],
[
15,
17
],
[
1,
15
],
[
4,
15
],
[
15,
18
],
[
13,
15
],
[
15,
16
],
[
14,
15
],
[
12,
15
],
[
5,
15
],
[
2,
10
],
[
1,
2
],
[
2,
4
],
[
2,
6
],
[
2,
13
],
[
2,
9
],
[
2,
8
],
[
2,
19
],
[
2,
11
],
[
3,
7
],
[
3,
13
],
[
3,
12
],
[
3,
11
],
[
1,
10
],
[
1,
7
],
[
7,
9
],
[
7,
19
],
[
17,
18
],
[
1,
4
],
[
5,
6
],
[
8,
12
]
] | 20
| 33
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
1,
4,
6,
7,
11
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13
] |
[
[
3,
12
],
[
8,
12
],
[
10,
12
],
[
12,
13
],
[
2,
3
],
[
3,
5
],
[
0,
8
],
[
5,
8
],
[
0,
9
],
[
9,
10
],
[
2,
13
],
[
4,
11
],
[
7,
11
],
[
6,
11
],
[
4,
6
],
[
1,
4
],
[
1,
7
],
[
6,
10
]
] | 14
| 18
|
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,
4
],
[
4,
11
],
[
4,
6
],
[
0,
10
],
[
0,
12
],
[
0,
5
],
[
0,
11
],
[
0,
7
],
[
0,
9
],
[
0,
2
],
[
0,
1
],
[
0,
8
],
[
9,
10
],
[
5,
12
],
[
3,
12
],
[
3,
5
],
[
2,
7
],
[
7,
8
],
[
1,
9
]
] | 13
| 19
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
3,
7,
12,
13,
14
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19
] |
[
[
4,
18
],
[
4,
8
],
[
4,
11
],
[
2,
4
],
[
4,
15
],
[
4,
5
],
[
18,
19
],
[
10,
18
],
[
17,
19
],
[
9,
19
],
[
2,
19
],
[
16,
19
],
[
8,
17
],
[
11,
17
],
[
15,
17
],
[
8,
16
],
[
9,
10
],
[
6,
9
],
[
1,
9
],
[
0,
15
],
[
0,
1
],
[
12,
13
],
[
13,
14
],
[
7,
13
],
[
7,
12
],
[
3,
12
],
[
3,
14
],
[
6,
7
]
] | 20
| 28
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
1,
2,
5,
7,
11
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15
] |
[
[
4,
10
],
[
4,
8
],
[
0,
4
],
[
4,
15
],
[
0,
3
],
[
10,
14
],
[
8,
14
],
[
6,
14
],
[
14,
15
],
[
6,
13
],
[
6,
9
],
[
12,
15
],
[
2,
7
],
[
2,
11
],
[
2,
5
],
[
5,
7
],
[
1,
7
],
[
1,
11
],
[
7,
14
]
] | 16
| 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
] |
[
[
5,
6
],
[
6,
10
],
[
1,
6
],
[
3,
6
],
[
5,
10
],
[
5,
8
],
[
0,
5
],
[
7,
8
],
[
4,
8
],
[
1,
11
],
[
1,
2
],
[
1,
7
],
[
1,
3
],
[
0,
11
],
[
0,
4
],
[
3,
9
]
] | 12
| 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,
14
],
[
6,
11
],
[
1,
6
],
[
6,
7
],
[
6,
12
],
[
6,
9
],
[
11,
13
],
[
13,
16
],
[
5,
13
],
[
1,
13
],
[
13,
19
],
[
4,
13
],
[
13,
17
],
[
13,
15
],
[
7,
13
],
[
13,
18
],
[
10,
11
],
[
8,
10
],
[
3,
10
],
[
2,
10
],
[
0,
8
],
[
4,
8
],
[
8,
15
],
[
8,
12
],
[
5,
19
],
[
3,
5
],
[
0,
1
],
[
15,
19
],
[
4,
15
],
[
4,
9
],
[
2,
17
],
[
12,
17
]
] | 20
| 32
|
Is there a house motif in this graph?
|
No, there is no motif.
|
[] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10
] |
[
[
4,
9
],
[
0,
3
],
[
0,
2
],
[
0,
5
],
[
0,
6
],
[
3,
7
],
[
3,
8
],
[
2,
7
],
[
8,
10
],
[
1,
8
],
[
1,
2
],
[
6,
10
],
[
4,
6
]
] | 11
| 13
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
1,
9,
14,
16,
19
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19
] |
[
[
8,
17
],
[
8,
11
],
[
4,
8
],
[
6,
8
],
[
8,
18
],
[
5,
8
],
[
8,
13
],
[
3,
8
],
[
8,
15
],
[
2,
8
],
[
15,
17
],
[
10,
17
],
[
4,
11
],
[
4,
18
],
[
4,
13
],
[
4,
7
],
[
3,
4
],
[
5,
18
],
[
0,
7
],
[
7,
10
],
[
0,
12
],
[
0,
10
],
[
9,
19
],
[
9,
14
],
[
1,
9
],
[
1,
19
],
[
16,
19
],
[
14,
16
],
[
11,
14
]
] | 20
| 29
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
0,
1,
2,
6,
10
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13
] |
[
[
8,
13
],
[
7,
13
],
[
12,
13
],
[
4,
13
],
[
11,
13
],
[
9,
13
],
[
5,
13
],
[
7,
8
],
[
8,
9
],
[
4,
7
],
[
4,
11
],
[
3,
5
],
[
6,
10
],
[
2,
6
],
[
0,
6
],
[
0,
10
],
[
1,
10
],
[
1,
2
],
[
6,
7
]
] | 14
| 19
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
2,
5,
11,
12,
13
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17
] |
[
[
3,
17
],
[
3,
4
],
[
3,
7
],
[
6,
17
],
[
9,
17
],
[
14,
17
],
[
1,
17
],
[
16,
17
],
[
15,
17
],
[
4,
14
],
[
4,
10
],
[
4,
15
],
[
7,
14
],
[
0,
14
],
[
1,
10
],
[
0,
10
],
[
8,
10
],
[
11,
13
],
[
12,
13
],
[
2,
13
],
[
2,
11
],
[
5,
11
],
[
5,
12
],
[
10,
12
]
] | 18
| 24
|
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,
14
],
[
2,
14
],
[
9,
14
],
[
14,
16
],
[
8,
14
],
[
13,
14
],
[
6,
14
],
[
10,
14
],
[
14,
15
],
[
1,
14
],
[
4,
14
],
[
11,
12
],
[
10,
12
],
[
3,
12
],
[
0,
2
],
[
0,
7
],
[
7,
11
],
[
5,
11
],
[
6,
11
],
[
2,
8
],
[
3,
7
],
[
1,
8
],
[
5,
10
],
[
3,
5
],
[
6,
15
],
[
3,
4
]
] | 17
| 26
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
0,
1,
4,
13,
14
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15
] |
[
[
3,
6
],
[
3,
11
],
[
3,
12
],
[
3,
9
],
[
3,
15
],
[
3,
10
],
[
2,
12
],
[
2,
8
],
[
2,
5
],
[
2,
7
],
[
6,
15
],
[
6,
7
],
[
5,
11
],
[
7,
8
],
[
8,
10
],
[
9,
10
],
[
13,
14
],
[
0,
13
],
[
4,
13
],
[
4,
14
],
[
1,
14
],
[
0,
1
],
[
0,
7
]
] | 16
| 23
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
4,
10,
11,
13,
16
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19
] |
[
[
6,
14
],
[
0,
6
],
[
3,
6
],
[
1,
12
],
[
0,
12
],
[
12,
19
],
[
2,
12
],
[
8,
12
],
[
15,
18
],
[
14,
18
],
[
2,
18
],
[
5,
18
],
[
1,
15
],
[
3,
15
],
[
7,
15
],
[
1,
17
],
[
9,
17
],
[
3,
17
],
[
2,
17
],
[
8,
17
],
[
5,
17
],
[
7,
17
],
[
0,
5
],
[
0,
7
],
[
3,
19
],
[
4,
13
],
[
11,
13
],
[
13,
16
],
[
4,
16
],
[
4,
10
],
[
10,
11
],
[
9,
13
]
] | 20
| 32
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
0,
4,
6,
11,
14
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16
] |
[
[
15,
16
],
[
12,
15
],
[
9,
15
],
[
3,
15
],
[
5,
15
],
[
2,
10
],
[
2,
3
],
[
2,
8
],
[
9,
10
],
[
7,
10
],
[
8,
10
],
[
10,
13
],
[
5,
12
],
[
12,
13
],
[
1,
12
],
[
1,
5
],
[
0,
6
],
[
6,
11
],
[
6,
14
],
[
0,
14
],
[
0,
4
],
[
4,
11
],
[
0,
15
]
] | 17
| 23
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
0,
2,
5,
10,
13
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15
] |
[
[
1,
3
],
[
3,
7
],
[
3,
11
],
[
3,
9
],
[
3,
6
],
[
8,
14
],
[
7,
8
],
[
8,
12
],
[
1,
15
],
[
1,
4
],
[
11,
14
],
[
14,
15
],
[
9,
14
],
[
4,
14
],
[
6,
14
],
[
4,
7
],
[
11,
12
],
[
5,
10
],
[
0,
5
],
[
2,
5
],
[
2,
10
],
[
10,
13
],
[
0,
13
],
[
9,
10
]
] | 16
| 24
|
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
] |
[
[
12,
13
],
[
10,
13
],
[
13,
15
],
[
13,
14
],
[
3,
13
],
[
2,
13
],
[
10,
12
],
[
12,
15
],
[
0,
12
],
[
9,
12
],
[
11,
12
],
[
5,
12
],
[
6,
12
],
[
3,
12
],
[
8,
12
],
[
1,
12
],
[
2,
12
],
[
4,
12
],
[
10,
14
],
[
4,
10
],
[
0,
11
],
[
6,
9
],
[
5,
11
],
[
0,
7
]
] | 16
| 24
|
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
] |
[
[
10,
11
],
[
1,
10
],
[
5,
10
],
[
3,
11
],
[
5,
11
],
[
8,
11
],
[
7,
11
],
[
6,
11
],
[
0,
11
],
[
4,
11
],
[
2,
11
],
[
3,
9
],
[
0,
8
],
[
2,
6
],
[
4,
9
]
] | 12
| 15
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
0,
5,
11,
14,
15
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15
] |
[
[
7,
13
],
[
4,
7
],
[
1,
9
],
[
9,
10
],
[
9,
12
],
[
6,
8
],
[
8,
13
],
[
3,
8
],
[
1,
2
],
[
4,
10
],
[
0,
5
],
[
0,
15
],
[
0,
14
],
[
5,
14
],
[
5,
11
],
[
11,
15
],
[
8,
11
]
] | 16
| 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
] |
[
[
8,
10
],
[
1,
8
],
[
5,
8
],
[
7,
8
],
[
9,
10
],
[
4,
10
],
[
3,
9
],
[
3,
4
],
[
3,
6
],
[
1,
9
],
[
2,
9
],
[
0,
1
],
[
5,
7
],
[
2,
5
]
] | 11
| 14
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
1,
6,
7,
12,
18
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19
] |
[
[
3,
5
],
[
5,
10
],
[
5,
15
],
[
5,
8
],
[
0,
14
],
[
14,
19
],
[
14,
17
],
[
0,
11
],
[
3,
11
],
[
2,
3
],
[
3,
19
],
[
3,
8
],
[
3,
9
],
[
13,
16
],
[
13,
15
],
[
13,
17
],
[
10,
17
],
[
8,
11
],
[
2,
4
],
[
2,
9
],
[
15,
16
],
[
1,
7
],
[
1,
18
],
[
1,
6
],
[
6,
7
],
[
7,
12
],
[
12,
18
],
[
6,
11
]
] | 20
| 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
] |
[
[
2,
7
],
[
2,
8
],
[
2,
3
],
[
4,
7
],
[
0,
7
],
[
1,
7
],
[
3,
7
],
[
7,
9
],
[
6,
7
],
[
8,
10
],
[
4,
10
],
[
3,
9
],
[
5,
9
]
] | 11
| 13
|
Is there a house motif in this graph?
|
Yes, there is a motif.
|
[
2,
3,
5,
6,
7
] |
[
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10
] |
[
[
1,
8
],
[
0,
8
],
[
4,
8
],
[
8,
9
],
[
8,
10
],
[
0,
4
],
[
4,
9
],
[
9,
10
],
[
2,
3
],
[
2,
6
],
[
2,
7
],
[
3,
7
],
[
3,
5
],
[
5,
6
],
[
6,
9
]
] | 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,
10,
11,
12
] |
[
[
1,
8
],
[
1,
6
],
[
1,
10
],
[
0,
1
],
[
1,
4
],
[
1,
3
],
[
7,
12
],
[
0,
7
],
[
7,
11
],
[
2,
7
],
[
8,
10
],
[
8,
12
],
[
4,
8
],
[
2,
8
],
[
6,
11
],
[
6,
9
],
[
0,
9
],
[
3,
11
],
[
5,
9
]
] | 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,
13,
14,
15,
16
] |
[
[
5,
13
],
[
0,
13
],
[
13,
14
],
[
5,
11
],
[
1,
5
],
[
5,
9
],
[
5,
16
],
[
4,
5
],
[
2,
5
],
[
5,
6
],
[
8,
12
],
[
1,
8
],
[
8,
9
],
[
7,
8
],
[
0,
8
],
[
6,
8
],
[
3,
8
],
[
10,
11
],
[
11,
15
],
[
7,
11
],
[
11,
14
],
[
10,
16
],
[
3,
7
]
] | 17
| 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,
12,
13
] |
[
[
2,
4
],
[
4,
8
],
[
4,
12
],
[
4,
13
],
[
9,
10
],
[
0,
7
],
[
0,
11
],
[
0,
8
],
[
0,
12
],
[
0,
3
],
[
0,
13
],
[
0,
5
],
[
2,
11
],
[
6,
7
],
[
1,
11
],
[
5,
11
],
[
8,
10
],
[
10,
13
],
[
3,
6
]
] | 14
| 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,
13,
14,
15,
16
] |
[
[
2,
11
],
[
11,
16
],
[
11,
13
],
[
7,
11
],
[
11,
12
],
[
4,
15
],
[
3,
4
],
[
4,
10
],
[
4,
13
],
[
4,
7
],
[
1,
4
],
[
4,
12
],
[
0,
2
],
[
2,
6
],
[
2,
13
],
[
2,
7
],
[
2,
8
],
[
2,
5
],
[
2,
12
],
[
0,
6
],
[
0,
3
],
[
3,
9
],
[
3,
14
],
[
5,
8
],
[
8,
9
]
] | 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
] |
[
[
6,
9
],
[
5,
6
],
[
6,
13
],
[
3,
6
],
[
6,
11
],
[
0,
9
],
[
0,
10
],
[
1,
7
],
[
1,
12
],
[
1,
4
],
[
1,
2
],
[
1,
11
],
[
7,
10
],
[
10,
13
],
[
8,
10
],
[
5,
12
],
[
4,
5
],
[
4,
8
],
[
2,
8
]
] | 14
| 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
] |
[
[
6,
12
],
[
4,
12
],
[
7,
12
],
[
3,
12
],
[
2,
12
],
[
1,
12
],
[
5,
6
],
[
5,
8
],
[
5,
11
],
[
0,
5
],
[
6,
11
],
[
1,
6
],
[
8,
11
],
[
8,
9
],
[
4,
7
],
[
7,
9
],
[
7,
10
],
[
1,
7
],
[
0,
2
],
[
9,
10
],
[
2,
3
]
] | 13
| 21
|
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
] |
[
[
4,
8
],
[
8,
9
],
[
2,
8
],
[
8,
12
],
[
1,
8
],
[
8,
11
],
[
8,
16
],
[
8,
17
],
[
0,
3
],
[
0,
2
],
[
0,
1
],
[
0,
11
],
[
0,
10
],
[
0,
17
],
[
0,
7
],
[
4,
9
],
[
4,
6
],
[
3,
4
],
[
4,
18
],
[
4,
5
],
[
4,
7
],
[
4,
15
],
[
9,
16
],
[
6,
14
],
[
14,
18
],
[
12,
14
],
[
14,
17
],
[
13,
18
],
[
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,
15,
16,
17,
18,
19
] |
[
[
10,
13
],
[
11,
13
],
[
4,
16
],
[
10,
16
],
[
9,
16
],
[
3,
16
],
[
4,
18
],
[
4,
5
],
[
2,
4
],
[
4,
19
],
[
10,
18
],
[
10,
17
],
[
2,
10
],
[
14,
18
],
[
6,
18
],
[
0,
18
],
[
7,
17
],
[
17,
19
],
[
1,
17
],
[
12,
17
],
[
5,
15
],
[
5,
11
],
[
5,
7
],
[
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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, motif-type classification (house vs 5-cycle), and shortest-path QA.
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).shortest_path: Answer the length of the shortest path between two nodes in a Barabási–Albert graph.
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.selected_nodes(List[int]):[src, dst]node indices for shortest-path prompts (only forshortest_path).path-length(int): Shortest path distance betweensrcanddst, or-1if disconnected (only forshortest_path).
Node Count Distribution
Node counts depend on the underlying base generator and motif size:
`ba_shapes` (Barabási–Albert, `num_edges = 2`)
`tree_cycle` (Prüfer trees + 6-cycle motif)
`tree_grid` (Prüfer trees + 3×3 grid motif)
`tree_grid_v2` (Prüfer trees + 3×2 grid motif)
`ba_two_motifs` (Barabási–Albert; house vs 5-cycle motifs)
`shortest_path` (Barabási–Albert, `num_edges = 2`)
Observed frequencies across the full 2,000-example splits for each subset are shown in the per-subset histograms.
Data Splits
| Subset | Split | Total | Positive | Negative |
|---|---|---|---|---|
| ba_shapes | Train | 1000 | 498 | 502 |
| ba_shapes | Val | 500 | 260 | 240 |
| ba_shapes | Test | 500 | 242 | 258 |
| ba_two_motifs | Train | 1000 | 1000 | 0 |
| ba_two_motifs | Val | 500 | 500 | 0 |
| ba_two_motifs | Test | 500 | 500 | 0 |
| shortest_path | Train | 1000 | 997 | 3 |
| shortest_path | Val | 500 | 499 | 1 |
| shortest_path | Test | 500 | 497 | 3 |
| tree_cycle | Train | 1000 | 500 | 500 |
| tree_cycle | Val | 500 | 253 | 247 |
| tree_cycle | Test | 500 | 247 | 253 |
| tree_grid | Train | 1000 | 488 | 512 |
| tree_grid | Val | 500 | 248 | 252 |
| tree_grid | Test | 500 | 264 | 236 |
| tree_grid_v2 | Train | 1000 | 487 | 513 |
| tree_grid_v2 | Val | 500 | 252 | 248 |
| tree_grid_v2 | Test | 500 | 261 | 239 |
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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