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Open Claude Desktopdynamic-programming · graph-algorithms · sorting
The organizer’s problem statement is available at the official source link.
sample trace
Minimum Longest Trip: dynamic programming walkthrough
Minimum Longest Trip: use the linked editorial?s dynamic programming, graph algorithms idea on the published sample, then verify the displayed output.
Published input4 5
4 3 10
4 2 10
3 1 10
2 1 10
4 1 10
4 5
4 3 4
4 2 2
3 1 5
2 1 10
4 1 1
4 5
4 3 2
4 2 2
3 1 5
2 1 10
4 1 1
4 5
4 3 2
4 2 2
3 1 10
2 1 5
4 1 1modelAlgorithm ideaTrack smaller states that summarize partial solutions. For each state, combine the legal predecessor states; the full-task state gives the result.task resultExpected output0 0
1 10
1 10
2 20
0 0
1 10
1 5
2 12
0 0
1 10
1 5
2 7
0 0
1 5
1 10
2 7
- 1
State
Choose a compact value for each partial subproblem so later choices need only that summary. - 2
Transition
Combine legal smaller states to compute reachability, a count, or an optimum for the next state. - 3
Finish
Read the state representing the full task and compare it with the published sample 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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