diff --git a/share/goodie/cheat_sheets/json/array-sorting.json b/share/goodie/cheat_sheets/json/array-sorting.json index 0ea1084bba1..a839b5d9ce7 100644 --- a/share/goodie/cheat_sheets/json/array-sorting.json +++ b/share/goodie/cheat_sheets/json/array-sorting.json @@ -1,58 +1,67 @@ { "id": "array_sorting_cheat_sheet", "name": "Array Sorting Algorithms", - "description": "Summary of Big-O time complexities for Array Sorting Algorithms", + "description": "Summary of Big-O time and memory complexities for Array Sorting Algorithms when n = size of array, k = range of elements", "metadata": { "sourceName": "Wikipedia", "sourceUrl": "https://en.wikipedia.org/wiki/Sorting_algorithm" }, "aliases": [ - "array sorting algorithms", "array sorting algorithm", "sorting complexity" - + "array sorting algorithms", "array sorting algorithm", "sorting complexity", "sorting time complexity", "sorting memory complexity", "sorting algorithmic complexity", "sorting time", "sorting memory", "sorting algorithm", + "array sort", "array sort algorithms", "array sort algorithm", "sort complexity", "sort time complexity", "sort memory complexity", "sort algorithmic complexity", "sort time", "sort memory", "sort algorithm" ], "template_type": "code", "section_order": [ "Quick Sort", "Merge Sort", "Heap Sort", - "Tim Sort", "Bubble Sort", "Insertion Sort", "Selection Sort", - "Tree Sort", - "Shell Sort", "Bucket Sort", "Radix Sort", "Counting Sort", + "Tim Sort", + "Shell Sort", + "Tree Sort", + "Comb Sort", "Cube Sort" ], "sections": { "Quick Sort": [ { - "val": "n log( n )", + "val": "n ⋅ log( n )", "key": "Best" }, { - "val": "n log( n )", + "val": "n ⋅ log( n )", "key": "Average" }, { "val": "n²", "key": "Worst" + }, + { + "val": "n", + "key": "Auxiliary memory" } ], "Merge Sort": [ { - "val": "n log( n )", + "val": "n ⋅ log( n )", "key": "Best" }, { - "val": "n log( n )", + "val": "n ⋅ log( n )", "key": "Average" }, { - "val": "n log( n )", + "val": "n ⋅ log( n )", "key": "Worst" + }, + { + "val": "n", + "key": "Auxiliary memory" } ], "Tim Sort": [ @@ -62,25 +71,33 @@ }, { "key":"Average", - "val":"n log( n )" + "val":"n ⋅ log( n )" }, { "key":"Worst", - "val":"n log( n )" + "val":"n ⋅ log( n )" + }, + { + "val": "n", + "key": "Auxiliary memory" } ], "Heap Sort": [ { - "val": "n log( n )", + "val": "n ⋅ log( n )", "key": "Best" }, { - "val": "n log( n )", + "val": "n ⋅ log( n )", "key": "Average" }, { - "val": "n log( n )", + "val": "n ⋅ log( n )", "key": "Worst" + }, + { + "val": "Constant", + "key": "Auxiliary memory" } ], "Bubble Sort": [ @@ -95,6 +112,10 @@ { "val": "n²", "key": "Worst" + }, + { + "val": "Constant", + "key": "Auxiliary memory" } ], "Insertion Sort": [ @@ -109,6 +130,10 @@ { "val": "n²", "key": "Worst" + }, + { + "val": "Constant", + "key": "Auxiliary memory" } ], "Selection Sort": [ @@ -123,20 +148,28 @@ { "val": "n²", "key": "Worst" + }, + { + "val": "Constant", + "key": "Auxiliary memory" } ], "Tree Sort": [ { "key":"Best", - "val":"n log( n )" + "val":"n ⋅ log( n )" }, { "key":"Average", - "val":"n log( n )" + "val":"n ⋅ log( n )" }, { "key":"Worst", "val":"n²" + }, + { + "key":"Auxiliary memory", + "val":"n" } ], "Shell Sort": [ @@ -145,12 +178,16 @@ "key": "Best" }, { - "val": "( n log( n ) )²", + "val": "( n ⋅ log( n ) )²", "key": "Average" }, { - "val": "( n log( n ) )²", + "val": "( n ⋅ log( n ) )²", "key": "Worst" + }, + { + "val": "Constant", + "key": "Auxiliary memory" } ], "Bucket Sort": [ @@ -165,20 +202,28 @@ { "val": "n²", "key": "Worst" + }, + { + "val": "n ⋅ k", + "key": "Auxiliary memory" } ], "Radix Sort": [ { - "val": "nk", + "val": "n ⋅ k", "key": "Best" }, { - "val": "nk", + "val": "n ⋅ k", "key": "Average" }, { - "val": "nk", + "val": "n ⋅ k", "key": "Worst" + }, + { + "val": "n + k", + "key": "Auxiliary memory" } ], "Counting Sort": [ @@ -193,6 +238,28 @@ { "key":"Worst", "val":"n + k" + }, + { + "key":"Auxiliary memory", + "val":"n + k" + } + ], + "Comb Sort": [ + { + "key":"Best", + "val":"n ⋅ log( n )" + }, + { + "key":"Average", + "val":"n² / 2ᵖ where p = number of increments" + }, + { + "key":"Worst", + "val":"n²" + }, + { + "key":"Auxiliary memory", + "val":"Constant" } ], "Cube Sort": [ @@ -202,11 +269,15 @@ }, { "key":"Average", - "val":"n log( n )" + "val":"n ⋅ log( n )" }, { "key":"Worst", - "val":"n log( n )" + "val":"n ⋅ log( n )" + }, + { + "key":"Auxiliary memory", + "val":"n" } ] }