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Open Claude Desktopcombinatorics
The organizer’s problem statement is available at the official source link.
sample trace
Maximize Minimum Difference: combinatorics walkthrough
Maximize Minimum Difference: use the linked editorial?s combinatorics idea on the published sample, then verify the displayed output.
Published input3 4
0
1
1 1
2
0 2
2 3
9 11
2
0 5
6 9
3
0 5
6 9
1 0
4
0 5
6 9
1 0
4 7
5
0 5
6 9
1 0
4 7
2 6
6
0 5
6 9
1 0
4 7
2 6
9 3
7
0 5
6 9
1 0
4 7
2 6
9 3
5 2
8
0 5
6 9
1 0
4 7
2 6
9 3
5 2
7 4
9
0 5
6 9
1 0
4 7
2 6
9 3
5 2
7 4
3 1
10
0 5
6 9
1 0
4 7
2 6
9 3
5 2
7 4
3 1
8 10
10 11
0
1
3 8
2
3 8
5 7
3
3 8
5 7
4 2
4
3 8
5 7
4 2
10 6
5
3 8
5 7
4 2
10 6
8 10
6
3 8
5 7
4 2
10 6
8 10
1 9
7
3 8
5 7
4 2
10 6
8 10
1 9
7 5
8
3 8
5 7
4 2
10 6
8 10
1 9
7 5
2 3
9
3 8
5 7
4 2
10 6
8 10
1 9
7 5
2 3
6 0
5 987
3
654 321
543 210
432 106
2
654 321
543 210
1
654 321
1
0 493
0modelAlgorithm ideaCount the valid arrangements by splitting them into disjoint cases or independent choices.task resultExpected output2
0
1
6
6
1
1
1
1
1
1
1
160
20
8
7
2
1
1
1
1
1
0
538184948
693625420
932738155
251798971
- 1
Cases
Partition the possible configurations so each valid outcome belongs to one case. - 2
Count
Count each case using the independent choices identified by the task. - 3
Combine
Sum the disjoint case counts and apply any required modulus or bound. - 4
Verify the sample
Use the published sample output to check the result of this idea on the displayed input.
Tools
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