Add challenge 74: N-body Gravitational Force (Medium)#196
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Add challenge 74: N-body Gravitational Force (Medium)#196claude[bot] wants to merge 1 commit intomainfrom
claude[bot] wants to merge 1 commit intomainfrom
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Teaches the all-pairs O(N²) parallel computation pattern: each output depends on all N inputs, requiring shared-memory tiling to avoid the global-memory bandwidth bottleneck. Force uses the softened gravity formula with ε = 1e-3, tested on sizes up to N = 8,192. Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
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Summary
Why this challenge?
Unlike the many element-wise challenges already in the repo, this is a genuine all-pairs computation where every output depends on all N inputs. The natural optimization (shared-memory tiling to amortize global loads across a block of particles) is the same conceptual leap as GEMM tiling but applied to a completely different physics problem — making it educational without being a duplicate.
Test plan
pre-commit run --all-filespasses (Black, isort, flake8, clang-format)run_challenge.py --action runpasses on NVIDIA TESLA T4 (example test)<p>, uses<h2>sections, first example matchesgenerate_example_test(), LaTeX bmatrix used consistently, performance bullet present🤖 Generated with Claude Code