### Sorting an array of size (n) : 32
n^2 for this array is : 1024.0<br>
nlogn for this array is : 160.0

| ARRAY NATURE | ALGORITHM | TIME ELAPSED (ns) | COMPARES | EXCHANGES |
|--|--|--|--|--|
| ALREADY SORTED | Selection Sort | 146007.0 | 496.0 | 31.0 |
| ALREADY SORTED | Insertion Sort | 18685.0 | 31.0 | 0.0 |
| ALREADY SORTED | Shell Sort | 10791.0 | 78.0 | 0.0 |
| ALREADY SORTED | Merge Sort | 56837.0 | 160.0 | 0.0 |
| ALREADY SORTED | Quick Sort | 44935.0 | 558.0 | 31.0 |
| ALREADY SORTED | Three Way Quick Sort | 84400.0 | 357.0 | 195.0 |
| ALREADY SORTED | Heap Sort | 35678.0 | 231.0 | 146.0 |
| PARTIALLY SORTED | Selection Sort | 31420.0 | 496.0 | 31.0 |
| PARTIALLY SORTED | Insertion Sort | 10620.0 | 100.0 | 70.0 |
| PARTIALLY SORTED | Shell Sort | 12814.0 | 121.0 | 48.0 |
| PARTIALLY SORTED | Merge Sort | 28103.0 | 160.0 | 0.0 |
| PARTIALLY SORTED | Quick Sort | 17834.0 | 187.0 | 30.0 |
| PARTIALLY SORTED | Three Way Quick Sort | 53461.0 | 240.0 | 145.0 |
| PARTIALLY SORTED | Heap Sort | 10079.0 | 226.0 | 142.0 |
| REVERSE SORTED | Selection Sort | 31490.0 | 496.0 | 31.0 |
| REVERSE SORTED | Insertion Sort | 51979.0 | 496.0 | 496.0 |
| REVERSE SORTED | Shell Sort | 19998.0 | 114.0 | 58.0 |
| REVERSE SORTED | Merge Sort | 24306.0 | 160.0 | 0.0 |
| REVERSE SORTED | Quick Sort | 38042.0 | 542.0 | 31.0 |
| REVERSE SORTED | Three Way Quick Sort | 55355.0 | 496.0 | 496.0 |
| REVERSE SORTED | Heap Sort | 8726.0 | 202.0 | 112.0 |
| RANDOMLY ORDERED | Selection Sort | 38714.0 | 496.0 | 31.0 |
| RANDOMLY ORDERED | Insertion Sort | 28294.0 | 282.0 | 255.0 |
| RANDOMLY ORDERED | Shell Sort | 15409.0 | 152.0 | 89.0 |
| RANDOMLY ORDERED | Merge Sort | 25057.0 | 160.0 | 0.0 |
| RANDOMLY ORDERED | Quick Sort | 18345.0 | 228.0 | 37.0 |
| RANDOMLY ORDERED | Three Way Quick Sort | 27702.0 | 229.0 | 157.0 |
| RANDOMLY ORDERED | Heap Sort | 9458.0 | 218.0 | 133.0 |
| FEW FREQUENTLY OCCURING | Selection Sort | 32061.0 | 496.0 | 31.0 |
| FEW FREQUENTLY OCCURING | Insertion Sort | 21601.0 | 213.0 | 183.0 |
| FEW FREQUENTLY OCCURING | Shell Sort | 11792.0 | 118.0 | 50.0 |
| FEW FREQUENTLY OCCURING | Merge Sort | 26440.0 | 160.0 | 0.0 |
| FEW FREQUENTLY OCCURING | Quick Sort | 17994.0 | 203.0 | 38.0 |
| FEW FREQUENTLY OCCURING | Three Way Quick Sort | 17162.0 | 192.0 | 80.0 |
| FEW FREQUENTLY OCCURING | Heap Sort | 9138.0 | 223.0 | 128.0 |

### Sorting an array of size (n) : 512
n^2 for this array is : 262144.0<br>
nlogn for this array is : 4608.0

| ARRAY NATURE | ALGORITHM | TIME ELAPSED (ns) | COMPARES | EXCHANGES |
|--|--|--|--|--|
| ALREADY SORTED | Selection Sort | 4850717.0 | 130816.0 | 511.0 |
| ALREADY SORTED | Insertion Sort | 35989.0 | 511.0 | 0.0 |
| ALREADY SORTED | Shell Sort | 158500.0 | 2529.0 | 0.0 |
| ALREADY SORTED | Merge Sort | 449562.0 | 4608.0 | 0.0 |
| ALREADY SORTED | Quick Sort | 3002463.0 | 131838.0 | 511.0 |
| ALREADY SORTED | Three Way Quick Sort | 1673142.0 | 25227.0 | 13149.0 |
| ALREADY SORTED | Heap Sort | 254052.0 | 7958.0 | 4464.0 |
| PARTIALLY SORTED | Selection Sort | 1965597.0 | 130816.0 | 511.0 |
| PARTIALLY SORTED | Insertion Sort | 2597005.0 | 29114.0 | 28607.0 |
| PARTIALLY SORTED | Shell Sort | 425297.0 | 5355.0 | 2949.0 |
| PARTIALLY SORTED | Merge Sort | 298236.0 | 4608.0 | 0.0 |
| PARTIALLY SORTED | Quick Sort | 188748.0 | 6429.0 | 952.0 |
| PARTIALLY SORTED | Three Way Quick Sort | 300219.0 | 9526.0 | 5537.0 |
| PARTIALLY SORTED | Heap Sort | 221880.0 | 7689.0 | 4266.0 |
| REVERSE SORTED | Selection Sort | 1964334.0 | 130816.0 | 511.0 |
| REVERSE SORTED | Insertion Sort | 8566013.0 | 130816.0 | 130816.0 |
| REVERSE SORTED | Shell Sort | 501150.0 | 4098.0 | 1790.0 |
| REVERSE SORTED | Merge Sort | 133242.0 | 4608.0 | 0.0 |
| REVERSE SORTED | Quick Sort | 2777496.0 | 131582.0 | 511.0 |
| REVERSE SORTED | Three Way Quick Sort | 4018770.0 | 130816.0 | 130816.0 |
| REVERSE SORTED | Heap Sort | 316731.0 | 7203.0 | 3772.0 |
| RANDOMLY ORDERED | Selection Sort | 2139577.0 | 130816.0 | 511.0 |
| RANDOMLY ORDERED | Insertion Sort | 1740760.0 | 66207.0 | 65704.0 |
| RANDOMLY ORDERED | Shell Sort | 845052.0 | 5834.0 | 3503.0 |
| RANDOMLY ORDERED | Merge Sort | 170153.0 | 4608.0 | 0.0 |
| RANDOMLY ORDERED | Quick Sort | 137871.0 | 5685.0 | 1068.0 |
| RANDOMLY ORDERED | Three Way Quick Sort | 266034.0 | 6785.0 | 4434.0 |
| RANDOMLY ORDERED | Heap Sort | 304848.0 | 7658.0 | 4172.0 |
| FEW FREQUENTLY OCCURING | Selection Sort | 5186584.0 | 130816.0 | 511.0 |
| FEW FREQUENTLY OCCURING | Insertion Sort | 1422557.0 | 57576.0 | 57067.0 |
| FEW FREQUENTLY OCCURING | Shell Sort | 432791.0 | 4097.0 | 1723.0 |
| FEW FREQUENTLY OCCURING | Merge Sort | 154453.0 | 4608.0 | 0.0 |
| FEW FREQUENTLY OCCURING | Quick Sort | 278238.0 | 15531.0 | 906.0 |
| FEW FREQUENTLY OCCURING | Three Way Quick Sort | 63401.0 | 2489.0 | 969.0 |
| FEW FREQUENTLY OCCURING | Heap Sort | 280381.0 | 7212.0 | 3819.0 |

### Sorting an array of size (n) : 1024
n^2 for this array is : 1048576.0<br>
nlogn for this array is : 10240.0

| ARRAY NATURE | ALGORITHM | TIME ELAPSED (ns) | COMPARES | EXCHANGES |
|--|--|--|--|--|
| ALREADY SORTED | Selection Sort | 7498749.0 | 523776.0 | 1023.0 |
| ALREADY SORTED | Insertion Sort | 22482.0 | 1023.0 | 0.0 |
| ALREADY SORTED | Shell Sort | 311771.0 | 5601.0 | 0.0 |
| ALREADY SORTED | Merge Sort | 276915.0 | 10240.0 | 0.0 |
| ALREADY SORTED | Quick Sort | 6711786.0 | 525822.0 | 1023.0 |
| ALREADY SORTED | Three Way Quick Sort | 3649069.0 | 70999.0 | 36808.0 |
| ALREADY SORTED | Heap Sort | 546827.0 | 18060.0 | 9968.0 |
| PARTIALLY SORTED | Selection Sort | 5672566.0 | 523776.0 | 1023.0 |
| PARTIALLY SORTED | Insertion Sort | 1121306.0 | 119251.0 | 118229.0 |
| PARTIALLY SORTED | Shell Sort | 888765.0 | 12869.0 | 7515.0 |
| PARTIALLY SORTED | Merge Sort | 998493.0 | 10240.0 | 0.0 |
| PARTIALLY SORTED | Quick Sort | 220528.0 | 13342.0 | 2143.0 |
| PARTIALLY SORTED | Three Way Quick Sort | 1015716.0 | 18425.0 | 10928.0 |
| PARTIALLY SORTED | Heap Sort | 412432.0 | 17351.0 | 9501.0 |
| REVERSE SORTED | Selection Sort | 5445486.0 | 523776.0 | 1023.0 |
| REVERSE SORTED | Insertion Sort | 4216956.0 | 523776.0 | 523776.0 |
| REVERSE SORTED | Shell Sort | 618302.0 | 9175.0 | 4430.0 |
| REVERSE SORTED | Merge Sort | 923041.0 | 10240.0 | 0.0 |
| REVERSE SORTED | Quick Sort | 7040860.0 | 525310.0 | 1023.0 |
| REVERSE SORTED | Three Way Quick Sort | 3.3696654E7 | 523776.0 | 523776.0 |
| REVERSE SORTED | Heap Sort | 374319.0 | 16407.0 | 8542.0 |
| RANDOMLY ORDERED | Selection Sort | 538151.0 | 523776.0 | 1023.0 |
| RANDOMLY ORDERED | Insertion Sort | 2208077.0 | 263988.0 | 262976.0 |
| RANDOMLY ORDERED | Shell Sort | 985999.0 | 13931.0 | 8766.0 |
| RANDOMLY ORDERED | Merge Sort | 1100978.0 | 10240.0 | 0.0 |
| RANDOMLY ORDERED | Quick Sort | 244102.0 | 13790.0 | 2377.0 |
| RANDOMLY ORDERED | Three Way Quick Sort | 911649.0 | 16118.0 | 10074.0 |
| RANDOMLY ORDERED | Heap Sort | 414616.0 | 17306.0 | 9311.0 |
| FEW FREQUENTLY OCCURING | Selection Sort | 536507.0 | 523776.0 | 1023.0 |
| FEW FREQUENTLY OCCURING | Insertion Sort | 1991185.0 | 241533.0 | 240512.0 |
| FEW FREQUENTLY OCCURING | Shell Sort | 561314.0 | 8621.0 | 3374.0 |
| FEW FREQUENTLY OCCURING | Merge Sort | 990428.0 | 10240.0 | 0.0 |
| FEW FREQUENTLY OCCURING | Quick Sort | 746566.0 | 59026.0 | 1844.0 |
| FEW FREQUENTLY OCCURING | Three Way Quick Sort | 229926.0 | 4749.0 | 1894.0 |
| FEW FREQUENTLY OCCURING | Heap Sort | 172988.0 | 16171.0 | 8449.0 |