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Problems for "splitting numbers" for benchmarks?
Examples that come to mind are breadth-first search on a larger graph, AES encryption-decryption/LZW compression-decompression 4 GB of data in memory, sum of squares of numbers from 1 to 100,000. Help complete the list.
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You have strange associations with "number splitting": your examples are entirely integer.
I would suggest matrix inversion, difur numerical solution, ray tracing.
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