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Fig 1.

Wall-3 Sort example (first page).

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Fig 2.

Wall-3 Sort example (second page).

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Table 1.

Data size condition and time complexity for different values of L.

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Table 1 Expand

Fig 3.

Wall-L complexity analysis: (Left) Exponent of n decreases as L increases; (Right) Actual growth rates show how higher L values approach behavior.

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Table 2.

Wall-1 block sizes for different input sizes and layer depths L.

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Table 2 Expand

Table 3.

Stack depth comparison: Classical log2n Algorithms vs. k-way Merge Sort and Wall-L.

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Table 3 Expand

Fig 4.

The grouped bar chart illustrates how the execution time scales with input size (N) for each algorithm in a high computing environment.

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Table 4.

Experimental results of approximate execution times in seconds of different sorting algorithms under a high computing environment.

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Table 5.

Experimental results show execution time and survivability of recursive sorting algorithms under artificial stack-depth limiting environments ().

The sign × indicates a recursion error, and ✓ indicates successful execution.

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Table 6.

Feature-wise comparison of Wall-L sorting with classical sorting algorithms.

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