feat: updated doc and example about using old partial proof

[vinhtc27]

Changes:

• Updated Readme in rln module
• Updated partial.rs example in rln-cli module

[github-actions]

Benchmark for 2490438

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Test	Base	PR	%
FullMerkleTree::::full_depth_gen	13.0±0.15ms	12.7±0.11ms	-2.31%
OptimalMerkleTree::::full_depth_gen	692.8±5.01µs	687.3±9.04µs	-0.79%
Pmtree::delete	51.3±0.30µs	50.7±0.21µs	-1.17%
Pmtree::get	298.4±6.95ns	295.6±4.40ns	-0.94%
Pmtree::get_empty_leaves_indices	8.4±0.11ns	8.4±0.26ns	0.00%
Pmtree::get_subtree_root	373.5±8.47ns	371.1±6.12ns	-0.64%
Pmtree::override_range	100.1±0.75µs	100.1±0.82µs	0.00%
Pmtree::set	50.7±0.38µs	50.7±0.49µs	0.00%
Set/FullMerkleTree::::set/1	518.1±4.88µs	521.2±5.60µs	+0.60%
Set/FullMerkleTree::::set/10	5.2±0.01ms	5.2±0.01ms	0.00%
Set/FullMerkleTree::::set/100	52.0±0.06ms	52.3±0.12ms	+0.58%
Set/FullMerkleTree::::set_range/1	518.2±4.96µs	521.8±7.36µs	+0.69%
Set/FullMerkleTree::::set_range/10	708.3±3.52µs	711.1±6.79µs	+0.40%
Set/FullMerkleTree::::set_range/100	1858.4±31.35µs	1859.5±35.72µs	+0.06%
Set/OptimalMerkleTree::::set/1	519.0±3.91µs	521.3±3.89µs	+0.44%
Set/OptimalMerkleTree::::set/10	5.2±0.02ms	5.3±0.07ms	+1.92%
Set/OptimalMerkleTree::::set/100	52.3±0.13ms	52.1±0.20ms	-0.38%
Set/OptimalMerkleTree::::set_range/1	521.0±13.83µs	521.3±4.15µs	+0.06%
Set/OptimalMerkleTree::::set_range/10	720.0±5.71µs	721.8±7.14µs	+0.25%
Set/OptimalMerkleTree::::set_range/100	1816.0±38.28µs	1818.9±41.97µs	+0.16%
rln_finish_partial_proof	67.6±0.97ms	67.2±0.78ms	-0.59%
rln_full_proof	184.6±2.63ms	185.8±9.92ms	+0.65%
rln_partial_proof_generation	127.7±1.23ms	128.1±2.94ms	+0.31%

[github-actions]

Benchmark for 2490438

Click to view benchmark

Test	Base	PR	%
FullMerkleTree::delete	17.0±0.20µs	16.9±0.26µs	-0.59%
FullMerkleTree::get	0.8±0.01ns	0.8±0.01ns	0.00%
FullMerkleTree::get_empty_leaves_indices	983.5±11.71µs	982.1±7.36µs	-0.14%
FullMerkleTree::get_subtree_root	11.6±0.09ns	12.8±1.80ns	+10.34%
FullMerkleTree::override_range	2.3±0.08ms	2.3±0.12ms	0.00%
FullMerkleTree::set	8.5±0.11µs	8.5±0.10µs	0.00%
OptimalMerkleTree::delete	19.9±0.25µs	19.7±0.29µs	-1.01%
OptimalMerkleTree::get	52.8±0.46ns	53.5±2.99ns	+1.33%
OptimalMerkleTree::get_empty_leaves_indices	983.9±13.80µs	981.8±5.82µs	-0.21%
OptimalMerkleTree::get_subtree_root	26.0±0.39ns	27.8±2.95ns	+6.92%
OptimalMerkleTree::override_range	5.0±0.39ms	4.7±0.40ms	-6.00%
OptimalMerkleTree::set	10.0±0.23µs	10.1±0.17µs	+1.00%
poseidon Fr/Array hash/10	138.9±0.65µs 70.3 KElem/sec	N/A	N/A
poseidon Fr/Array hash/100	1495.9±1.49µs 65.3 KElem/sec	N/A	N/A
poseidon Fr/Array hash/1000	15.1±0.02ms 64.8 KElem/sec	N/A	N/A
poseidon Fr/Single hash	13.8±0.01µs 69.4 MElem/sec	N/A	N/A
validate_override_range/FullMerkleTree/override_range/1024	591.6±30.40µs	591.9±23.20µs	+0.05%
validate_override_range/FullMerkleTree/override_range/64	96.9±14.73µs	97.2±14.30µs	+0.31%
validate_override_range/FullMerkleTree/override_range/65536	436.1±0.84ms	437.2±1.71ms	+0.25%
validate_override_range/FullMerkleTree/override_range/8192	8.8±0.08ms	8.9±0.06ms	+1.14%
validate_override_range/OptimalMerkleTree/override_range/1024	793.9±47.28µs	797.3±42.82µs	+0.43%
validate_override_range/OptimalMerkleTree/override_range/64	131.7±22.44µs	148.5±25.29µs	+12.76%
validate_override_range/OptimalMerkleTree/override_range/65536	459.8±1.78ms	462.0±1.57ms	+0.48%
validate_override_range/OptimalMerkleTree/override_range/8192	10.3±0.60ms	10.2±0.11ms	-0.97%
validate_override_range/validate_only/1024	8.0±0.08µs	10.6±0.26µs	+32.50%
validate_override_range/validate_only/64	354.3±5.57ns	350.6±2.32ns	-1.04%
validate_override_range/validate_only/65536	845.5±6.84µs	844.3±7.97µs	-0.14%
validate_override_range/validate_only/8192	104.0±1.74µs	102.2±1.50µs	-1.73%