feat: add some TheAlgorithm benches

[art049]

• feat: implement benchmarks for TheAlgorithms (backtracking, big_interger, bit_manipulation)
• chore: DO NOT MERGE test latest runner version

[codspeed-hq]

CodSpeed Walltime Performance Report

Merging #73 will degrade performances by 48.41%

_{Comparing add-the-algorithm-benches (fc95e0e) with main (1ff6bcf)}

Summary

⚡ 1 improvements
❌ 4 regressions
✅ 32 untouched benchmarks
🆕 61 new benchmarks

⚠️ Please fix the performance issues or acknowledge them on CodSpeed.

Benchmarks breakdown

	Benchmark	BASE	HEAD	Change
⚡	iterative[20]	5.2 µs	5 µs	+3.36%
❌	iterative[5]	4 µs	4.3 µs	-5.34%
❌	recursive[0]	3.9 µs	4.5 µs	-13.37%
❌	recursive_memoized[BTreeMap<u64, u64>, 20]	1.8 µs	3.4 µs	-48.41%
🆕	generate_combinations[5]	N/A	3.1 µs	N/A
🆕	generate_combinations[6]	N/A	2.7 µs	N/A
🆕	generate_combinations[7]	N/A	2 µs	N/A
🆕	generate_combinations[8]	N/A	3.1 µs	N/A
🆕	generate_combinations[9]	N/A	4.2 µs	N/A
🆕	generate_parentheses[3]	N/A	2.3 µs	N/A
🆕	generate_parentheses[4]	N/A	6.8 µs	N/A
🆕	generate_parentheses[5]	N/A	20.6 µs	N/A
🆕	generate_parentheses[6]	N/A	68.9 µs	N/A
🆕	graph_coloring[3]	N/A	1 µs	N/A
🆕	graph_coloring[4]	N/A	3.5 µs	N/A
🆕	graph_coloring[5]	N/A	2.2 µs	N/A
🆕	graph_coloring[6]	N/A	4.3 µs	N/A
🆕	hamiltonian_cycle[4]	N/A	4.6 µs	N/A
🆕	hamiltonian_cycle[5]	N/A	5.1 µs	N/A
🆕	hamiltonian_cycle[6]	N/A	5.7 µs	N/A
...	...	...	...	...

ℹ️ Only the first 20 benchmarks are displayed. Go to the app to view all benchmarks.

[codspeed-hq]

CodSpeed Instrumentation Performance Report

Merging #73 will degrade performances by 7.82%

_{Comparing add-the-algorithm-benches (a0b46d4) with main (1ff6bcf)}

Summary

⚡ 1 improvements
❌ 2 regressions
✅ 88 untouched benchmarks
🆕 61 new benchmarks

⚠️ Please fix the performance issues or acknowledge them on CodSpeed.

Benchmarks breakdown

	Benchmark	BASE	HEAD	Change
⚡	mut_borrow	895.8 ns	866.7 ns	+3.37%
❌	recursive_memoized[HashMap<u64, u64>, 0]	776.4 ns	805.6 ns	-3.62%
🆕	generate_combinations[5]	N/A	8.1 µs	N/A
🆕	generate_combinations[6]	N/A	10.6 µs	N/A
🆕	generate_combinations[7]	N/A	291.2 µs	N/A
🆕	generate_combinations[8]	N/A	17.2 µs	N/A
🆕	generate_combinations[9]	N/A	24 µs	N/A
🆕	generate_parentheses[3]	N/A	9.7 µs	N/A
🆕	generate_parentheses[4]	N/A	17.8 µs	N/A
🆕	generate_parentheses[5]	N/A	42.4 µs	N/A
🆕	generate_parentheses[6]	N/A	124.1 µs	N/A
🆕	graph_coloring[3]	N/A	7.8 µs	N/A
🆕	graph_coloring[4]	N/A	5.6 µs	N/A
🆕	graph_coloring[5]	N/A	5.3 µs	N/A
🆕	graph_coloring[6]	N/A	5.5 µs	N/A
🆕	hamiltonian_cycle[4]	N/A	6.6 µs	N/A
🆕	hamiltonian_cycle[5]	N/A	6.8 µs	N/A
🆕	hamiltonian_cycle[6]	N/A	7.1 µs	N/A
🆕	hamiltonian_cycle[7]	N/A	7.4 µs	N/A
🆕	knight_tour[5]	N/A	666.3 µs	N/A
...	...	...	...	...

ℹ️ Only the first 20 benchmarks are displayed. Go to the app to view all benchmarks.