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Open Claude Desktopgraph-algorithms
The organizer’s problem statement is available at the official source link.
sample trace
Counting Graphs: graph algorithms walkthrough
Counting Graphs: use the linked editorial?s graph algorithms idea on the published sample, then verify the displayed output.
Published input1
5 4
1 2
2 3
1 4
3 5
7
4 6
1 2
2 3
3 4
1 3
2 4
1 4
5 5
1 2
2 3
3 4
4 5
1 5
5 7
1 2
1 3
1 5
2 4
3 3
3 4
4 5
6 6
1 2
2 3
3 4
4 5
5 6
6 6
6 7
1 2
2 3
1 3
1 4
4 5
5 6
1 6
10 10
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
22 28
1 2
2 3
3 4
4 5
5 6
6 7
1 7
1 8
3 9
8 10
10 11
10 12
10 13
10 14
11 15
12 16
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9 15
9 16
9 17
9 18
15 19
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16 22modelAlgorithm ideaRepresent the task?s objects and connections as a graph, then use the editorial?s traversal or path method to obtain the requested property.task resultExpected output3
45
35
11
1
15
371842544
256838540
- 1
Model
Make one vertex per task object and add an edge for each permitted relationship. - 2
Process
Traverse or relax the graph according to the task?s path or reachability rule. - 3
Read
Use the reached set or path result to produce the requested output. - 4
Verify the sample
Use the published sample output to check the result of this idea on the displayed input.
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