input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 41, 71, 55, 24, 89, -99, 38, 69, -55.

output:
<think>
Initial list: [41, 71, 55, 24, 89, -99, 38, 69, -55]

Pass 1:
  Compare 41 and 71
  No swap needed
  Compare 71 and 55
  Swap 71 and 55
  List after swap: [41, 55, 71, 24, 89, -99, 38, 69, -55]
  Compare 71 and 24
  Swap 71 and 24
  List after swap: [41, 55, 24, 71, 89, -99, 38, 69, -55]
  Compare 71 and 89
  No swap needed
  Compare 89 and -99
  Swap 89 and -99
  List after swap: [41, 55, 24, 71, -99, 89, 38, 69, -55]
  Compare 89 and 38
  Swap 89 and 38
  List after swap: [41, 55, 24, 71, -99, 38, 89, 69, -55]
  Compare 89 and 69
  Swap 89 and 69
  List after swap: [41, 55, 24, 71, -99, 38, 69, 89, -55]
  Compare 89 and -55
  Swap 89 and -55
  List after swap: [41, 55, 24, 71, -99, 38, 69, -55, 89]

Pass 2:
  Compare 41 and 55
  No swap needed
  Compare 55 and 24
  Swap 55 and 24
  List after swap: [41, 24, 55, 71, -99, 38, 69, -55, 89]
  Compare 55 and 71
  No swap needed
  Compare 71 and -99
  Swap 71 and -99
  List after swap: [41, 24, 55, -99, 71, 38, 69, -55, 89]
  Compare 71 and 38
  Swap 71 and 38
  List after swap: [41, 24, 55, -99, 38, 71, 69, -55, 89]
  Compare 71 and 69
  Swap 71 and 69
  List after swap: [41, 24, 55, -99, 38, 69, 71, -55, 89]
  Compare 71 and -55
  Swap 71 and -55
  List after swap: [41, 24, 55, -99, 38, 69, -55, 71, 89]

Pass 3:
  Compare 41 and 24
  Swap 41 and 24
  List after swap: [24, 41, 55, -99, 38, 69, -55, 71, 89]
  Compare 41 and 55
  No swap needed
  Compare 55 and -99
  Swap 55 and -99
  List after swap: [24, 41, -99, 55, 38, 69, -55, 71, 89]
  Compare 55 and 38
  Swap 55 and 38
  List after swap: [24, 41, -99, 38, 55, 69, -55, 71, 89]
  Compare 55 and 69
  No swap needed
  Compare 69 and -55
  Swap 69 and -55
  List after swap: [24, 41, -99, 38, 55, -55, 69, 71, 89]

Pass 4:
  Compare 24 and 41
  No swap needed
  Compare 41 and -99
  Swap 41 and -99
  List after swap: [24, -99, 41, 38, 55, -55, 69, 71, 89]
  Compare 41 and 38
  Swap 41 and 38
  List after swap: [24, -99, 38, 41, 55, -55, 69, 71, 89]
  Compare 41 and 55
  No swap needed
  Compare 55 and -55
  Swap 55 and -55
  List after swap: [24, -99, 38, 41, -55, 55, 69, 71, 89]

Pass 5:
  Compare 24 and -99
  Swap 24 and -99
  List after swap: [-99, 24, 38, 41, -55, 55, 69, 71, 89]
  Compare 24 and 38
  No swap needed
  Compare 38 and 41
  No swap needed
  Compare 41 and -55
  Swap 41 and -55
  List after swap: [-99, 24, 38, -55, 41, 55, 69, 71, 89]

Pass 6:
  Compare -99 and 24
  No swap needed
  Compare 24 and 38
  No swap needed
  Compare 38 and -55
  Swap 38 and -55
  List after swap: [-99, 24, -55, 38, 41, 55, 69, 71, 89]

Pass 7:
  Compare -99 and 24
  No swap needed
  Compare 24 and -55
  Swap 24 and -55
  List after swap: [-99, -55, 24, 38, 41, 55, 69, 71, 89]

Pass 8:
  Compare -99 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -55, 24, 38, 41, 55, 69, 71, 89]
</think>

<response>-99, -55, 24, 38, 41, 55, 69, 71, 89</response>


input: Demonstrate how bubble sort orders the integers 62, -62, -69, 34, -8, 97, 8, -79, -3 in ascending sequence, showing all steps.

output:
<think>
Initial list: [62, -62, -69, 34, -8, 97, 8, -79, -3]

Pass 1:
  Compare 62 and -62
  Swap 62 and -62
  List after swap: [-62, 62, -69, 34, -8, 97, 8, -79, -3]
  Compare 62 and -69
  Swap 62 and -69
  List after swap: [-62, -69, 62, 34, -8, 97, 8, -79, -3]
  Compare 62 and 34
  Swap 62 and 34
  List after swap: [-62, -69, 34, 62, -8, 97, 8, -79, -3]
  Compare 62 and -8
  Swap 62 and -8
  List after swap: [-62, -69, 34, -8, 62, 97, 8, -79, -3]
  Compare 62 and 97
  No swap needed
  Compare 97 and 8
  Swap 97 and 8
  List after swap: [-62, -69, 34, -8, 62, 8, 97, -79, -3]
  Compare 97 and -79
  Swap 97 and -79
  List after swap: [-62, -69, 34, -8, 62, 8, -79, 97, -3]
  Compare 97 and -3
  Swap 97 and -3
  List after swap: [-62, -69, 34, -8, 62, 8, -79, -3, 97]

Pass 2:
  Compare -62 and -69
  Swap -62 and -69
  List after swap: [-69, -62, 34, -8, 62, 8, -79, -3, 97]
  Compare -62 and 34
  No swap needed
  Compare 34 and -8
  Swap 34 and -8
  List after swap: [-69, -62, -8, 34, 62, 8, -79, -3, 97]
  Compare 34 and 62
  No swap needed
  Compare 62 and 8
  Swap 62 and 8
  List after swap: [-69, -62, -8, 34, 8, 62, -79, -3, 97]
  Compare 62 and -79
  Swap 62 and -79
  List after swap: [-69, -62, -8, 34, 8, -79, 62, -3, 97]
  Compare 62 and -3
  Swap 62 and -3
  List after swap: [-69, -62, -8, 34, 8, -79, -3, 62, 97]

Pass 3:
  Compare -69 and -62
  No swap needed
  Compare -62 and -8
  No swap needed
  Compare -8 and 34
  No swap needed
  Compare 34 and 8
  Swap 34 and 8
  List after swap: [-69, -62, -8, 8, 34, -79, -3, 62, 97]
  Compare 34 and -79
  Swap 34 and -79
  List after swap: [-69, -62, -8, 8, -79, 34, -3, 62, 97]
  Compare 34 and -3
  Swap 34 and -3
  List after swap: [-69, -62, -8, 8, -79, -3, 34, 62, 97]

Pass 4:
  Compare -69 and -62
  No swap needed
  Compare -62 and -8
  No swap needed
  Compare -8 and 8
  No swap needed
  Compare 8 and -79
  Swap 8 and -79
  List after swap: [-69, -62, -8, -79, 8, -3, 34, 62, 97]
  Compare 8 and -3
  Swap 8 and -3
  List after swap: [-69, -62, -8, -79, -3, 8, 34, 62, 97]

Pass 5:
  Compare -69 and -62
  No swap needed
  Compare -62 and -8
  No swap needed
  Compare -8 and -79
  Swap -8 and -79
  List after swap: [-69, -62, -79, -8, -3, 8, 34, 62, 97]
  Compare -8 and -3
  No swap needed

Pass 6:
  Compare -69 and -62
  No swap needed
  Compare -62 and -79
  Swap -62 and -79
  List after swap: [-69, -79, -62, -8, -3, 8, 34, 62, 97]
  Compare -62 and -8
  No swap needed

Pass 7:
  Compare -69 and -79
  Swap -69 and -79
  List after swap: [-79, -69, -62, -8, -3, 8, 34, 62, 97]
  Compare -69 and -62
  No swap needed

Pass 8:
  Compare -79 and -69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -69, -62, -8, -3, 8, 34, 62, 97]
</think>

<response>-79, -69, -62, -8, -3, 8, 34, 62, 97</response>


input: Sort the list 51, -45, 49, 79, -71, 52, -68, 84, 68 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [51, -45, 49, 79, -71, 52, -68, 84, 68]

Pass 1:
  Compare 51 and -45
  Swap 51 and -45
  List after swap: [-45, 51, 49, 79, -71, 52, -68, 84, 68]
  Compare 51 and 49
  Swap 51 and 49
  List after swap: [-45, 49, 51, 79, -71, 52, -68, 84, 68]
  Compare 51 and 79
  No swap needed
  Compare 79 and -71
  Swap 79 and -71
  List after swap: [-45, 49, 51, -71, 79, 52, -68, 84, 68]
  Compare 79 and 52
  Swap 79 and 52
  List after swap: [-45, 49, 51, -71, 52, 79, -68, 84, 68]
  Compare 79 and -68
  Swap 79 and -68
  List after swap: [-45, 49, 51, -71, 52, -68, 79, 84, 68]
  Compare 79 and 84
  No swap needed
  Compare 84 and 68
  Swap 84 and 68
  List after swap: [-45, 49, 51, -71, 52, -68, 79, 68, 84]

Pass 2:
  Compare -45 and 49
  No swap needed
  Compare 49 and 51
  No swap needed
  Compare 51 and -71
  Swap 51 and -71
  List after swap: [-45, 49, -71, 51, 52, -68, 79, 68, 84]
  Compare 51 and 52
  No swap needed
  Compare 52 and -68
  Swap 52 and -68
  List after swap: [-45, 49, -71, 51, -68, 52, 79, 68, 84]
  Compare 52 and 79
  No swap needed
  Compare 79 and 68
  Swap 79 and 68
  List after swap: [-45, 49, -71, 51, -68, 52, 68, 79, 84]

Pass 3:
  Compare -45 and 49
  No swap needed
  Compare 49 and -71
  Swap 49 and -71
  List after swap: [-45, -71, 49, 51, -68, 52, 68, 79, 84]
  Compare 49 and 51
  No swap needed
  Compare 51 and -68
  Swap 51 and -68
  List after swap: [-45, -71, 49, -68, 51, 52, 68, 79, 84]
  Compare 51 and 52
  No swap needed
  Compare 52 and 68
  No swap needed

Pass 4:
  Compare -45 and -71
  Swap -45 and -71
  List after swap: [-71, -45, 49, -68, 51, 52, 68, 79, 84]
  Compare -45 and 49
  No swap needed
  Compare 49 and -68
  Swap 49 and -68
  List after swap: [-71, -45, -68, 49, 51, 52, 68, 79, 84]
  Compare 49 and 51
  No swap needed
  Compare 51 and 52
  No swap needed

Pass 5:
  Compare -71 and -45
  No swap needed
  Compare -45 and -68
  Swap -45 and -68
  List after swap: [-71, -68, -45, 49, 51, 52, 68, 79, 84]
  Compare -45 and 49
  No swap needed
  Compare 49 and 51
  No swap needed

Pass 6:
  Compare -71 and -68
  No swap needed
  Compare -68 and -45
  No swap needed
  Compare -45 and 49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -68, -45, 49, 51, 52, 68, 79, 84]
</think>

<response>-71, -68, -45, 49, 51, 52, 68, 79, 84</response>


input: Sort these integers 25, -93, 51, -5, 91, -35, -40 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [25, -93, 51, -5, 91, -35, -40]

Pass 1:
  Compare 25 and -93
  Swap 25 and -93
  List after swap: [-93, 25, 51, -5, 91, -35, -40]
  Compare 25 and 51
  No swap needed
  Compare 51 and -5
  Swap 51 and -5
  List after swap: [-93, 25, -5, 51, 91, -35, -40]
  Compare 51 and 91
  No swap needed
  Compare 91 and -35
  Swap 91 and -35
  List after swap: [-93, 25, -5, 51, -35, 91, -40]
  Compare 91 and -40
  Swap 91 and -40
  List after swap: [-93, 25, -5, 51, -35, -40, 91]

Pass 2:
  Compare -93 and 25
  No swap needed
  Compare 25 and -5
  Swap 25 and -5
  List after swap: [-93, -5, 25, 51, -35, -40, 91]
  Compare 25 and 51
  No swap needed
  Compare 51 and -35
  Swap 51 and -35
  List after swap: [-93, -5, 25, -35, 51, -40, 91]
  Compare 51 and -40
  Swap 51 and -40
  List after swap: [-93, -5, 25, -35, -40, 51, 91]

Pass 3:
  Compare -93 and -5
  No swap needed
  Compare -5 and 25
  No swap needed
  Compare 25 and -35
  Swap 25 and -35
  List after swap: [-93, -5, -35, 25, -40, 51, 91]
  Compare 25 and -40
  Swap 25 and -40
  List after swap: [-93, -5, -35, -40, 25, 51, 91]

Pass 4:
  Compare -93 and -5
  No swap needed
  Compare -5 and -35
  Swap -5 and -35
  List after swap: [-93, -35, -5, -40, 25, 51, 91]
  Compare -5 and -40
  Swap -5 and -40
  List after swap: [-93, -35, -40, -5, 25, 51, 91]

Pass 5:
  Compare -93 and -35
  No swap needed
  Compare -35 and -40
  Swap -35 and -40
  List after swap: [-93, -40, -35, -5, 25, 51, 91]

Pass 6:
  Compare -93 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -40, -35, -5, 25, 51, 91]
</think>

<response>-93, -40, -35, -5, 25, 51, 91</response>


input: Use the bubble sort technique to reorder -57, 11, -39, 13 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-57, 11, -39, 13]

Pass 1:
  Compare -57 and 11
  No swap needed
  Compare 11 and -39
  Swap 11 and -39
  List after swap: [-57, -39, 11, 13]
  Compare 11 and 13
  No swap needed

Pass 2:
  Compare -57 and -39
  No swap needed
  Compare -39 and 11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -39, 11, 13]
</think>

<response>-57, -39, 11, 13</response>


input: Demonstrate how bubble sort orders the integers -41, 80, -72, 26, 8, 1, 20 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-41, 80, -72, 26, 8, 1, 20]

Pass 1:
  Compare -41 and 80
  No swap needed
  Compare 80 and -72
  Swap 80 and -72
  List after swap: [-41, -72, 80, 26, 8, 1, 20]
  Compare 80 and 26
  Swap 80 and 26
  List after swap: [-41, -72, 26, 80, 8, 1, 20]
  Compare 80 and 8
  Swap 80 and 8
  List after swap: [-41, -72, 26, 8, 80, 1, 20]
  Compare 80 and 1
  Swap 80 and 1
  List after swap: [-41, -72, 26, 8, 1, 80, 20]
  Compare 80 and 20
  Swap 80 and 20
  List after swap: [-41, -72, 26, 8, 1, 20, 80]

Pass 2:
  Compare -41 and -72
  Swap -41 and -72
  List after swap: [-72, -41, 26, 8, 1, 20, 80]
  Compare -41 and 26
  No swap needed
  Compare 26 and 8
  Swap 26 and 8
  List after swap: [-72, -41, 8, 26, 1, 20, 80]
  Compare 26 and 1
  Swap 26 and 1
  List after swap: [-72, -41, 8, 1, 26, 20, 80]
  Compare 26 and 20
  Swap 26 and 20
  List after swap: [-72, -41, 8, 1, 20, 26, 80]

Pass 3:
  Compare -72 and -41
  No swap needed
  Compare -41 and 8
  No swap needed
  Compare 8 and 1
  Swap 8 and 1
  List after swap: [-72, -41, 1, 8, 20, 26, 80]
  Compare 8 and 20
  No swap needed

Pass 4:
  Compare -72 and -41
  No swap needed
  Compare -41 and 1
  No swap needed
  Compare 1 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -41, 1, 8, 20, 26, 80]
</think>

<response>-72, -41, 1, 8, 20, 26, 80</response>


input: Sort these integers 4, -72, 18, -8, 63, -45 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [4, -72, 18, -8, 63, -45]

Pass 1:
  Compare 4 and -72
  Swap 4 and -72
  List after swap: [-72, 4, 18, -8, 63, -45]
  Compare 4 and 18
  No swap needed
  Compare 18 and -8
  Swap 18 and -8
  List after swap: [-72, 4, -8, 18, 63, -45]
  Compare 18 and 63
  No swap needed
  Compare 63 and -45
  Swap 63 and -45
  List after swap: [-72, 4, -8, 18, -45, 63]

Pass 2:
  Compare -72 and 4
  No swap needed
  Compare 4 and -8
  Swap 4 and -8
  List after swap: [-72, -8, 4, 18, -45, 63]
  Compare 4 and 18
  No swap needed
  Compare 18 and -45
  Swap 18 and -45
  List after swap: [-72, -8, 4, -45, 18, 63]

Pass 3:
  Compare -72 and -8
  No swap needed
  Compare -8 and 4
  No swap needed
  Compare 4 and -45
  Swap 4 and -45
  List after swap: [-72, -8, -45, 4, 18, 63]

Pass 4:
  Compare -72 and -8
  No swap needed
  Compare -8 and -45
  Swap -8 and -45
  List after swap: [-72, -45, -8, 4, 18, 63]

Pass 5:
  Compare -72 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -45, -8, 4, 18, 63]
</think>

<response>-72, -45, -8, 4, 18, 63</response>


input: Execute bubble sort to sort 31, -8 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [31, -8]

Pass 1:
  Compare 31 and -8
  Swap 31 and -8
  List after swap: [-8, 31]

Pass 2:
  No swaps in this pass, list is sorted.

Final sorted list: [-8, 31]
</think>

<response>-8, 31</response>


input: Use the bubble sort technique to reorder -46, 83, -21, -15, -13, -34, -1, -57 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-46, 83, -21, -15, -13, -34, -1, -57]

Pass 1:
  Compare -46 and 83
  No swap needed
  Compare 83 and -21
  Swap 83 and -21
  List after swap: [-46, -21, 83, -15, -13, -34, -1, -57]
  Compare 83 and -15
  Swap 83 and -15
  List after swap: [-46, -21, -15, 83, -13, -34, -1, -57]
  Compare 83 and -13
  Swap 83 and -13
  List after swap: [-46, -21, -15, -13, 83, -34, -1, -57]
  Compare 83 and -34
  Swap 83 and -34
  List after swap: [-46, -21, -15, -13, -34, 83, -1, -57]
  Compare 83 and -1
  Swap 83 and -1
  List after swap: [-46, -21, -15, -13, -34, -1, 83, -57]
  Compare 83 and -57
  Swap 83 and -57
  List after swap: [-46, -21, -15, -13, -34, -1, -57, 83]

Pass 2:
  Compare -46 and -21
  No swap needed
  Compare -21 and -15
  No swap needed
  Compare -15 and -13
  No swap needed
  Compare -13 and -34
  Swap -13 and -34
  List after swap: [-46, -21, -15, -34, -13, -1, -57, 83]
  Compare -13 and -1
  No swap needed
  Compare -1 and -57
  Swap -1 and -57
  List after swap: [-46, -21, -15, -34, -13, -57, -1, 83]

Pass 3:
  Compare -46 and -21
  No swap needed
  Compare -21 and -15
  No swap needed
  Compare -15 and -34
  Swap -15 and -34
  List after swap: [-46, -21, -34, -15, -13, -57, -1, 83]
  Compare -15 and -13
  No swap needed
  Compare -13 and -57
  Swap -13 and -57
  List after swap: [-46, -21, -34, -15, -57, -13, -1, 83]

Pass 4:
  Compare -46 and -21
  No swap needed
  Compare -21 and -34
  Swap -21 and -34
  List after swap: [-46, -34, -21, -15, -57, -13, -1, 83]
  Compare -21 and -15
  No swap needed
  Compare -15 and -57
  Swap -15 and -57
  List after swap: [-46, -34, -21, -57, -15, -13, -1, 83]

Pass 5:
  Compare -46 and -34
  No swap needed
  Compare -34 and -21
  No swap needed
  Compare -21 and -57
  Swap -21 and -57
  List after swap: [-46, -34, -57, -21, -15, -13, -1, 83]

Pass 6:
  Compare -46 and -34
  No swap needed
  Compare -34 and -57
  Swap -34 and -57
  List after swap: [-46, -57, -34, -21, -15, -13, -1, 83]

Pass 7:
  Compare -46 and -57
  Swap -46 and -57
  List after swap: [-57, -46, -34, -21, -15, -13, -1, 83]

Pass 8:
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -46, -34, -21, -15, -13, -1, 83]
</think>

<response>-57, -46, -34, -21, -15, -13, -1, 83</response>


input: Using the bubble sort method, sort -55, 89 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-55, 89]

Pass 1:
  Compare -55 and 89
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, 89]
</think>

<response>-55, 89</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 20, 38, 99, -21, 30, 78, -92, 43.

output:
<think>
Initial list: [20, 38, 99, -21, 30, 78, -92, 43]

Pass 1:
  Compare 20 and 38
  No swap needed
  Compare 38 and 99
  No swap needed
  Compare 99 and -21
  Swap 99 and -21
  List after swap: [20, 38, -21, 99, 30, 78, -92, 43]
  Compare 99 and 30
  Swap 99 and 30
  List after swap: [20, 38, -21, 30, 99, 78, -92, 43]
  Compare 99 and 78
  Swap 99 and 78
  List after swap: [20, 38, -21, 30, 78, 99, -92, 43]
  Compare 99 and -92
  Swap 99 and -92
  List after swap: [20, 38, -21, 30, 78, -92, 99, 43]
  Compare 99 and 43
  Swap 99 and 43
  List after swap: [20, 38, -21, 30, 78, -92, 43, 99]

Pass 2:
  Compare 20 and 38
  No swap needed
  Compare 38 and -21
  Swap 38 and -21
  List after swap: [20, -21, 38, 30, 78, -92, 43, 99]
  Compare 38 and 30
  Swap 38 and 30
  List after swap: [20, -21, 30, 38, 78, -92, 43, 99]
  Compare 38 and 78
  No swap needed
  Compare 78 and -92
  Swap 78 and -92
  List after swap: [20, -21, 30, 38, -92, 78, 43, 99]
  Compare 78 and 43
  Swap 78 and 43
  List after swap: [20, -21, 30, 38, -92, 43, 78, 99]

Pass 3:
  Compare 20 and -21
  Swap 20 and -21
  List after swap: [-21, 20, 30, 38, -92, 43, 78, 99]
  Compare 20 and 30
  No swap needed
  Compare 30 and 38
  No swap needed
  Compare 38 and -92
  Swap 38 and -92
  List after swap: [-21, 20, 30, -92, 38, 43, 78, 99]
  Compare 38 and 43
  No swap needed

Pass 4:
  Compare -21 and 20
  No swap needed
  Compare 20 and 30
  No swap needed
  Compare 30 and -92
  Swap 30 and -92
  List after swap: [-21, 20, -92, 30, 38, 43, 78, 99]
  Compare 30 and 38
  No swap needed

Pass 5:
  Compare -21 and 20
  No swap needed
  Compare 20 and -92
  Swap 20 and -92
  List after swap: [-21, -92, 20, 30, 38, 43, 78, 99]
  Compare 20 and 30
  No swap needed

Pass 6:
  Compare -21 and -92
  Swap -21 and -92
  List after swap: [-92, -21, 20, 30, 38, 43, 78, 99]
  Compare -21 and 20
  No swap needed

Pass 7:
  Compare -92 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -21, 20, 30, 38, 43, 78, 99]
</think>

<response>-92, -21, 20, 30, 38, 43, 78, 99</response>


input: Implement bubble sort on 81, -76, 62, -16, 10, -9, 51, -98, -78 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [81, -76, 62, -16, 10, -9, 51, -98, -78]

Pass 1:
  Compare 81 and -76
  Swap 81 and -76
  List after swap: [-76, 81, 62, -16, 10, -9, 51, -98, -78]
  Compare 81 and 62
  Swap 81 and 62
  List after swap: [-76, 62, 81, -16, 10, -9, 51, -98, -78]
  Compare 81 and -16
  Swap 81 and -16
  List after swap: [-76, 62, -16, 81, 10, -9, 51, -98, -78]
  Compare 81 and 10
  Swap 81 and 10
  List after swap: [-76, 62, -16, 10, 81, -9, 51, -98, -78]
  Compare 81 and -9
  Swap 81 and -9
  List after swap: [-76, 62, -16, 10, -9, 81, 51, -98, -78]
  Compare 81 and 51
  Swap 81 and 51
  List after swap: [-76, 62, -16, 10, -9, 51, 81, -98, -78]
  Compare 81 and -98
  Swap 81 and -98
  List after swap: [-76, 62, -16, 10, -9, 51, -98, 81, -78]
  Compare 81 and -78
  Swap 81 and -78
  List after swap: [-76, 62, -16, 10, -9, 51, -98, -78, 81]

Pass 2:
  Compare -76 and 62
  No swap needed
  Compare 62 and -16
  Swap 62 and -16
  List after swap: [-76, -16, 62, 10, -9, 51, -98, -78, 81]
  Compare 62 and 10
  Swap 62 and 10
  List after swap: [-76, -16, 10, 62, -9, 51, -98, -78, 81]
  Compare 62 and -9
  Swap 62 and -9
  List after swap: [-76, -16, 10, -9, 62, 51, -98, -78, 81]
  Compare 62 and 51
  Swap 62 and 51
  List after swap: [-76, -16, 10, -9, 51, 62, -98, -78, 81]
  Compare 62 and -98
  Swap 62 and -98
  List after swap: [-76, -16, 10, -9, 51, -98, 62, -78, 81]
  Compare 62 and -78
  Swap 62 and -78
  List after swap: [-76, -16, 10, -9, 51, -98, -78, 62, 81]

Pass 3:
  Compare -76 and -16
  No swap needed
  Compare -16 and 10
  No swap needed
  Compare 10 and -9
  Swap 10 and -9
  List after swap: [-76, -16, -9, 10, 51, -98, -78, 62, 81]
  Compare 10 and 51
  No swap needed
  Compare 51 and -98
  Swap 51 and -98
  List after swap: [-76, -16, -9, 10, -98, 51, -78, 62, 81]
  Compare 51 and -78
  Swap 51 and -78
  List after swap: [-76, -16, -9, 10, -98, -78, 51, 62, 81]

Pass 4:
  Compare -76 and -16
  No swap needed
  Compare -16 and -9
  No swap needed
  Compare -9 and 10
  No swap needed
  Compare 10 and -98
  Swap 10 and -98
  List after swap: [-76, -16, -9, -98, 10, -78, 51, 62, 81]
  Compare 10 and -78
  Swap 10 and -78
  List after swap: [-76, -16, -9, -98, -78, 10, 51, 62, 81]

Pass 5:
  Compare -76 and -16
  No swap needed
  Compare -16 and -9
  No swap needed
  Compare -9 and -98
  Swap -9 and -98
  List after swap: [-76, -16, -98, -9, -78, 10, 51, 62, 81]
  Compare -9 and -78
  Swap -9 and -78
  List after swap: [-76, -16, -98, -78, -9, 10, 51, 62, 81]

Pass 6:
  Compare -76 and -16
  No swap needed
  Compare -16 and -98
  Swap -16 and -98
  List after swap: [-76, -98, -16, -78, -9, 10, 51, 62, 81]
  Compare -16 and -78
  Swap -16 and -78
  List after swap: [-76, -98, -78, -16, -9, 10, 51, 62, 81]

Pass 7:
  Compare -76 and -98
  Swap -76 and -98
  List after swap: [-98, -76, -78, -16, -9, 10, 51, 62, 81]
  Compare -76 and -78
  Swap -76 and -78
  List after swap: [-98, -78, -76, -16, -9, 10, 51, 62, 81]

Pass 8:
  Compare -98 and -78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -78, -76, -16, -9, 10, 51, 62, 81]
</think>

<response>-98, -78, -76, -16, -9, 10, 51, 62, 81</response>


input: Use the bubble sort technique to reorder 7, 76 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [7, 76]

Pass 1:
  Compare 7 and 76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [7, 76]
</think>

<response>7, 76</response>


input: Use the bubble sort technique to reorder -96, 40, -47, 39, -37, 59, -25, 72, -33 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-96, 40, -47, 39, -37, 59, -25, 72, -33]

Pass 1:
  Compare -96 and 40
  No swap needed
  Compare 40 and -47
  Swap 40 and -47
  List after swap: [-96, -47, 40, 39, -37, 59, -25, 72, -33]
  Compare 40 and 39
  Swap 40 and 39
  List after swap: [-96, -47, 39, 40, -37, 59, -25, 72, -33]
  Compare 40 and -37
  Swap 40 and -37
  List after swap: [-96, -47, 39, -37, 40, 59, -25, 72, -33]
  Compare 40 and 59
  No swap needed
  Compare 59 and -25
  Swap 59 and -25
  List after swap: [-96, -47, 39, -37, 40, -25, 59, 72, -33]
  Compare 59 and 72
  No swap needed
  Compare 72 and -33
  Swap 72 and -33
  List after swap: [-96, -47, 39, -37, 40, -25, 59, -33, 72]

Pass 2:
  Compare -96 and -47
  No swap needed
  Compare -47 and 39
  No swap needed
  Compare 39 and -37
  Swap 39 and -37
  List after swap: [-96, -47, -37, 39, 40, -25, 59, -33, 72]
  Compare 39 and 40
  No swap needed
  Compare 40 and -25
  Swap 40 and -25
  List after swap: [-96, -47, -37, 39, -25, 40, 59, -33, 72]
  Compare 40 and 59
  No swap needed
  Compare 59 and -33
  Swap 59 and -33
  List after swap: [-96, -47, -37, 39, -25, 40, -33, 59, 72]

Pass 3:
  Compare -96 and -47
  No swap needed
  Compare -47 and -37
  No swap needed
  Compare -37 and 39
  No swap needed
  Compare 39 and -25
  Swap 39 and -25
  List after swap: [-96, -47, -37, -25, 39, 40, -33, 59, 72]
  Compare 39 and 40
  No swap needed
  Compare 40 and -33
  Swap 40 and -33
  List after swap: [-96, -47, -37, -25, 39, -33, 40, 59, 72]

Pass 4:
  Compare -96 and -47
  No swap needed
  Compare -47 and -37
  No swap needed
  Compare -37 and -25
  No swap needed
  Compare -25 and 39
  No swap needed
  Compare 39 and -33
  Swap 39 and -33
  List after swap: [-96, -47, -37, -25, -33, 39, 40, 59, 72]

Pass 5:
  Compare -96 and -47
  No swap needed
  Compare -47 and -37
  No swap needed
  Compare -37 and -25
  No swap needed
  Compare -25 and -33
  Swap -25 and -33
  List after swap: [-96, -47, -37, -33, -25, 39, 40, 59, 72]

Pass 6:
  Compare -96 and -47
  No swap needed
  Compare -47 and -37
  No swap needed
  Compare -37 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -47, -37, -33, -25, 39, 40, 59, 72]
</think>

<response>-96, -47, -37, -33, -25, 39, 40, 59, 72</response>


input: Arrange the numbers -8, 69, 4, -58, -78, -2 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-8, 69, 4, -58, -78, -2]

Pass 1:
  Compare -8 and 69
  No swap needed
  Compare 69 and 4
  Swap 69 and 4
  List after swap: [-8, 4, 69, -58, -78, -2]
  Compare 69 and -58
  Swap 69 and -58
  List after swap: [-8, 4, -58, 69, -78, -2]
  Compare 69 and -78
  Swap 69 and -78
  List after swap: [-8, 4, -58, -78, 69, -2]
  Compare 69 and -2
  Swap 69 and -2
  List after swap: [-8, 4, -58, -78, -2, 69]

Pass 2:
  Compare -8 and 4
  No swap needed
  Compare 4 and -58
  Swap 4 and -58
  List after swap: [-8, -58, 4, -78, -2, 69]
  Compare 4 and -78
  Swap 4 and -78
  List after swap: [-8, -58, -78, 4, -2, 69]
  Compare 4 and -2
  Swap 4 and -2
  List after swap: [-8, -58, -78, -2, 4, 69]

Pass 3:
  Compare -8 and -58
  Swap -8 and -58
  List after swap: [-58, -8, -78, -2, 4, 69]
  Compare -8 and -78
  Swap -8 and -78
  List after swap: [-58, -78, -8, -2, 4, 69]
  Compare -8 and -2
  No swap needed

Pass 4:
  Compare -58 and -78
  Swap -58 and -78
  List after swap: [-78, -58, -8, -2, 4, 69]
  Compare -58 and -8
  No swap needed

Pass 5:
  Compare -78 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -58, -8, -2, 4, 69]
</think>

<response>-78, -58, -8, -2, 4, 69</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 66, 90, -82, 63, -43, 62, -78, -87.

output:
<think>
Initial list: [66, 90, -82, 63, -43, 62, -78, -87]

Pass 1:
  Compare 66 and 90
  No swap needed
  Compare 90 and -82
  Swap 90 and -82
  List after swap: [66, -82, 90, 63, -43, 62, -78, -87]
  Compare 90 and 63
  Swap 90 and 63
  List after swap: [66, -82, 63, 90, -43, 62, -78, -87]
  Compare 90 and -43
  Swap 90 and -43
  List after swap: [66, -82, 63, -43, 90, 62, -78, -87]
  Compare 90 and 62
  Swap 90 and 62
  List after swap: [66, -82, 63, -43, 62, 90, -78, -87]
  Compare 90 and -78
  Swap 90 and -78
  List after swap: [66, -82, 63, -43, 62, -78, 90, -87]
  Compare 90 and -87
  Swap 90 and -87
  List after swap: [66, -82, 63, -43, 62, -78, -87, 90]

Pass 2:
  Compare 66 and -82
  Swap 66 and -82
  List after swap: [-82, 66, 63, -43, 62, -78, -87, 90]
  Compare 66 and 63
  Swap 66 and 63
  List after swap: [-82, 63, 66, -43, 62, -78, -87, 90]
  Compare 66 and -43
  Swap 66 and -43
  List after swap: [-82, 63, -43, 66, 62, -78, -87, 90]
  Compare 66 and 62
  Swap 66 and 62
  List after swap: [-82, 63, -43, 62, 66, -78, -87, 90]
  Compare 66 and -78
  Swap 66 and -78
  List after swap: [-82, 63, -43, 62, -78, 66, -87, 90]
  Compare 66 and -87
  Swap 66 and -87
  List after swap: [-82, 63, -43, 62, -78, -87, 66, 90]

Pass 3:
  Compare -82 and 63
  No swap needed
  Compare 63 and -43
  Swap 63 and -43
  List after swap: [-82, -43, 63, 62, -78, -87, 66, 90]
  Compare 63 and 62
  Swap 63 and 62
  List after swap: [-82, -43, 62, 63, -78, -87, 66, 90]
  Compare 63 and -78
  Swap 63 and -78
  List after swap: [-82, -43, 62, -78, 63, -87, 66, 90]
  Compare 63 and -87
  Swap 63 and -87
  List after swap: [-82, -43, 62, -78, -87, 63, 66, 90]

Pass 4:
  Compare -82 and -43
  No swap needed
  Compare -43 and 62
  No swap needed
  Compare 62 and -78
  Swap 62 and -78
  List after swap: [-82, -43, -78, 62, -87, 63, 66, 90]
  Compare 62 and -87
  Swap 62 and -87
  List after swap: [-82, -43, -78, -87, 62, 63, 66, 90]

Pass 5:
  Compare -82 and -43
  No swap needed
  Compare -43 and -78
  Swap -43 and -78
  List after swap: [-82, -78, -43, -87, 62, 63, 66, 90]
  Compare -43 and -87
  Swap -43 and -87
  List after swap: [-82, -78, -87, -43, 62, 63, 66, 90]

Pass 6:
  Compare -82 and -78
  No swap needed
  Compare -78 and -87
  Swap -78 and -87
  List after swap: [-82, -87, -78, -43, 62, 63, 66, 90]

Pass 7:
  Compare -82 and -87
  Swap -82 and -87
  List after swap: [-87, -82, -78, -43, 62, 63, 66, 90]

Pass 8:
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -82, -78, -43, 62, 63, 66, 90]
</think>

<response>-87, -82, -78, -43, 62, 63, 66, 90</response>


input: Implement bubble sort on -45, -54, -87, 16, 90, -80, -34, -68, -65, -93 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-45, -54, -87, 16, 90, -80, -34, -68, -65, -93]

Pass 1:
  Compare -45 and -54
  Swap -45 and -54
  List after swap: [-54, -45, -87, 16, 90, -80, -34, -68, -65, -93]
  Compare -45 and -87
  Swap -45 and -87
  List after swap: [-54, -87, -45, 16, 90, -80, -34, -68, -65, -93]
  Compare -45 and 16
  No swap needed
  Compare 16 and 90
  No swap needed
  Compare 90 and -80
  Swap 90 and -80
  List after swap: [-54, -87, -45, 16, -80, 90, -34, -68, -65, -93]
  Compare 90 and -34
  Swap 90 and -34
  List after swap: [-54, -87, -45, 16, -80, -34, 90, -68, -65, -93]
  Compare 90 and -68
  Swap 90 and -68
  List after swap: [-54, -87, -45, 16, -80, -34, -68, 90, -65, -93]
  Compare 90 and -65
  Swap 90 and -65
  List after swap: [-54, -87, -45, 16, -80, -34, -68, -65, 90, -93]
  Compare 90 and -93
  Swap 90 and -93
  List after swap: [-54, -87, -45, 16, -80, -34, -68, -65, -93, 90]

Pass 2:
  Compare -54 and -87
  Swap -54 and -87
  List after swap: [-87, -54, -45, 16, -80, -34, -68, -65, -93, 90]
  Compare -54 and -45
  No swap needed
  Compare -45 and 16
  No swap needed
  Compare 16 and -80
  Swap 16 and -80
  List after swap: [-87, -54, -45, -80, 16, -34, -68, -65, -93, 90]
  Compare 16 and -34
  Swap 16 and -34
  List after swap: [-87, -54, -45, -80, -34, 16, -68, -65, -93, 90]
  Compare 16 and -68
  Swap 16 and -68
  List after swap: [-87, -54, -45, -80, -34, -68, 16, -65, -93, 90]
  Compare 16 and -65
  Swap 16 and -65
  List after swap: [-87, -54, -45, -80, -34, -68, -65, 16, -93, 90]
  Compare 16 and -93
  Swap 16 and -93
  List after swap: [-87, -54, -45, -80, -34, -68, -65, -93, 16, 90]

Pass 3:
  Compare -87 and -54
  No swap needed
  Compare -54 and -45
  No swap needed
  Compare -45 and -80
  Swap -45 and -80
  List after swap: [-87, -54, -80, -45, -34, -68, -65, -93, 16, 90]
  Compare -45 and -34
  No swap needed
  Compare -34 and -68
  Swap -34 and -68
  List after swap: [-87, -54, -80, -45, -68, -34, -65, -93, 16, 90]
  Compare -34 and -65
  Swap -34 and -65
  List after swap: [-87, -54, -80, -45, -68, -65, -34, -93, 16, 90]
  Compare -34 and -93
  Swap -34 and -93
  List after swap: [-87, -54, -80, -45, -68, -65, -93, -34, 16, 90]

Pass 4:
  Compare -87 and -54
  No swap needed
  Compare -54 and -80
  Swap -54 and -80
  List after swap: [-87, -80, -54, -45, -68, -65, -93, -34, 16, 90]
  Compare -54 and -45
  No swap needed
  Compare -45 and -68
  Swap -45 and -68
  List after swap: [-87, -80, -54, -68, -45, -65, -93, -34, 16, 90]
  Compare -45 and -65
  Swap -45 and -65
  List after swap: [-87, -80, -54, -68, -65, -45, -93, -34, 16, 90]
  Compare -45 and -93
  Swap -45 and -93
  List after swap: [-87, -80, -54, -68, -65, -93, -45, -34, 16, 90]

Pass 5:
  Compare -87 and -80
  No swap needed
  Compare -80 and -54
  No swap needed
  Compare -54 and -68
  Swap -54 and -68
  List after swap: [-87, -80, -68, -54, -65, -93, -45, -34, 16, 90]
  Compare -54 and -65
  Swap -54 and -65
  List after swap: [-87, -80, -68, -65, -54, -93, -45, -34, 16, 90]
  Compare -54 and -93
  Swap -54 and -93
  List after swap: [-87, -80, -68, -65, -93, -54, -45, -34, 16, 90]

Pass 6:
  Compare -87 and -80
  No swap needed
  Compare -80 and -68
  No swap needed
  Compare -68 and -65
  No swap needed
  Compare -65 and -93
  Swap -65 and -93
  List after swap: [-87, -80, -68, -93, -65, -54, -45, -34, 16, 90]

Pass 7:
  Compare -87 and -80
  No swap needed
  Compare -80 and -68
  No swap needed
  Compare -68 and -93
  Swap -68 and -93
  List after swap: [-87, -80, -93, -68, -65, -54, -45, -34, 16, 90]

Pass 8:
  Compare -87 and -80
  No swap needed
  Compare -80 and -93
  Swap -80 and -93
  List after swap: [-87, -93, -80, -68, -65, -54, -45, -34, 16, 90]

Pass 9:
  Compare -87 and -93
  Swap -87 and -93
  List after swap: [-93, -87, -80, -68, -65, -54, -45, -34, 16, 90]

Pass 10:
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -87, -80, -68, -65, -54, -45, -34, 16, 90]
</think>

<response>-93, -87, -80, -68, -65, -54, -45, -34, 16, 90</response>


input: Implement bubble sort on -89, 68, 33, 82, 53, 12, 8, -31, -54 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-89, 68, 33, 82, 53, 12, 8, -31, -54]

Pass 1:
  Compare -89 and 68
  No swap needed
  Compare 68 and 33
  Swap 68 and 33
  List after swap: [-89, 33, 68, 82, 53, 12, 8, -31, -54]
  Compare 68 and 82
  No swap needed
  Compare 82 and 53
  Swap 82 and 53
  List after swap: [-89, 33, 68, 53, 82, 12, 8, -31, -54]
  Compare 82 and 12
  Swap 82 and 12
  List after swap: [-89, 33, 68, 53, 12, 82, 8, -31, -54]
  Compare 82 and 8
  Swap 82 and 8
  List after swap: [-89, 33, 68, 53, 12, 8, 82, -31, -54]
  Compare 82 and -31
  Swap 82 and -31
  List after swap: [-89, 33, 68, 53, 12, 8, -31, 82, -54]
  Compare 82 and -54
  Swap 82 and -54
  List after swap: [-89, 33, 68, 53, 12, 8, -31, -54, 82]

Pass 2:
  Compare -89 and 33
  No swap needed
  Compare 33 and 68
  No swap needed
  Compare 68 and 53
  Swap 68 and 53
  List after swap: [-89, 33, 53, 68, 12, 8, -31, -54, 82]
  Compare 68 and 12
  Swap 68 and 12
  List after swap: [-89, 33, 53, 12, 68, 8, -31, -54, 82]
  Compare 68 and 8
  Swap 68 and 8
  List after swap: [-89, 33, 53, 12, 8, 68, -31, -54, 82]
  Compare 68 and -31
  Swap 68 and -31
  List after swap: [-89, 33, 53, 12, 8, -31, 68, -54, 82]
  Compare 68 and -54
  Swap 68 and -54
  List after swap: [-89, 33, 53, 12, 8, -31, -54, 68, 82]

Pass 3:
  Compare -89 and 33
  No swap needed
  Compare 33 and 53
  No swap needed
  Compare 53 and 12
  Swap 53 and 12
  List after swap: [-89, 33, 12, 53, 8, -31, -54, 68, 82]
  Compare 53 and 8
  Swap 53 and 8
  List after swap: [-89, 33, 12, 8, 53, -31, -54, 68, 82]
  Compare 53 and -31
  Swap 53 and -31
  List after swap: [-89, 33, 12, 8, -31, 53, -54, 68, 82]
  Compare 53 and -54
  Swap 53 and -54
  List after swap: [-89, 33, 12, 8, -31, -54, 53, 68, 82]

Pass 4:
  Compare -89 and 33
  No swap needed
  Compare 33 and 12
  Swap 33 and 12
  List after swap: [-89, 12, 33, 8, -31, -54, 53, 68, 82]
  Compare 33 and 8
  Swap 33 and 8
  List after swap: [-89, 12, 8, 33, -31, -54, 53, 68, 82]
  Compare 33 and -31
  Swap 33 and -31
  List after swap: [-89, 12, 8, -31, 33, -54, 53, 68, 82]
  Compare 33 and -54
  Swap 33 and -54
  List after swap: [-89, 12, 8, -31, -54, 33, 53, 68, 82]

Pass 5:
  Compare -89 and 12
  No swap needed
  Compare 12 and 8
  Swap 12 and 8
  List after swap: [-89, 8, 12, -31, -54, 33, 53, 68, 82]
  Compare 12 and -31
  Swap 12 and -31
  List after swap: [-89, 8, -31, 12, -54, 33, 53, 68, 82]
  Compare 12 and -54
  Swap 12 and -54
  List after swap: [-89, 8, -31, -54, 12, 33, 53, 68, 82]

Pass 6:
  Compare -89 and 8
  No swap needed
  Compare 8 and -31
  Swap 8 and -31
  List after swap: [-89, -31, 8, -54, 12, 33, 53, 68, 82]
  Compare 8 and -54
  Swap 8 and -54
  List after swap: [-89, -31, -54, 8, 12, 33, 53, 68, 82]

Pass 7:
  Compare -89 and -31
  No swap needed
  Compare -31 and -54
  Swap -31 and -54
  List after swap: [-89, -54, -31, 8, 12, 33, 53, 68, 82]

Pass 8:
  Compare -89 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -54, -31, 8, 12, 33, 53, 68, 82]
</think>

<response>-89, -54, -31, 8, 12, 33, 53, 68, 82</response>


input: Sort the list -2, -91 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-2, -91]

Pass 1:
  Compare -2 and -91
  Swap -2 and -91
  List after swap: [-91, -2]

Pass 2:
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -2]
</think>

<response>-91, -2</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -81, -22.

output:
<think>
Initial list: [-81, -22]

Pass 1:
  Compare -81 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -22]
</think>

<response>-81, -22</response>


input: Arrange the numbers -83, -1, 94, 44, 60, -63, -45, -9, 25 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-83, -1, 94, 44, 60, -63, -45, -9, 25]

Pass 1:
  Compare -83 and -1
  No swap needed
  Compare -1 and 94
  No swap needed
  Compare 94 and 44
  Swap 94 and 44
  List after swap: [-83, -1, 44, 94, 60, -63, -45, -9, 25]
  Compare 94 and 60
  Swap 94 and 60
  List after swap: [-83, -1, 44, 60, 94, -63, -45, -9, 25]
  Compare 94 and -63
  Swap 94 and -63
  List after swap: [-83, -1, 44, 60, -63, 94, -45, -9, 25]
  Compare 94 and -45
  Swap 94 and -45
  List after swap: [-83, -1, 44, 60, -63, -45, 94, -9, 25]
  Compare 94 and -9
  Swap 94 and -9
  List after swap: [-83, -1, 44, 60, -63, -45, -9, 94, 25]
  Compare 94 and 25
  Swap 94 and 25
  List after swap: [-83, -1, 44, 60, -63, -45, -9, 25, 94]

Pass 2:
  Compare -83 and -1
  No swap needed
  Compare -1 and 44
  No swap needed
  Compare 44 and 60
  No swap needed
  Compare 60 and -63
  Swap 60 and -63
  List after swap: [-83, -1, 44, -63, 60, -45, -9, 25, 94]
  Compare 60 and -45
  Swap 60 and -45
  List after swap: [-83, -1, 44, -63, -45, 60, -9, 25, 94]
  Compare 60 and -9
  Swap 60 and -9
  List after swap: [-83, -1, 44, -63, -45, -9, 60, 25, 94]
  Compare 60 and 25
  Swap 60 and 25
  List after swap: [-83, -1, 44, -63, -45, -9, 25, 60, 94]

Pass 3:
  Compare -83 and -1
  No swap needed
  Compare -1 and 44
  No swap needed
  Compare 44 and -63
  Swap 44 and -63
  List after swap: [-83, -1, -63, 44, -45, -9, 25, 60, 94]
  Compare 44 and -45
  Swap 44 and -45
  List after swap: [-83, -1, -63, -45, 44, -9, 25, 60, 94]
  Compare 44 and -9
  Swap 44 and -9
  List after swap: [-83, -1, -63, -45, -9, 44, 25, 60, 94]
  Compare 44 and 25
  Swap 44 and 25
  List after swap: [-83, -1, -63, -45, -9, 25, 44, 60, 94]

Pass 4:
  Compare -83 and -1
  No swap needed
  Compare -1 and -63
  Swap -1 and -63
  List after swap: [-83, -63, -1, -45, -9, 25, 44, 60, 94]
  Compare -1 and -45
  Swap -1 and -45
  List after swap: [-83, -63, -45, -1, -9, 25, 44, 60, 94]
  Compare -1 and -9
  Swap -1 and -9
  List after swap: [-83, -63, -45, -9, -1, 25, 44, 60, 94]
  Compare -1 and 25
  No swap needed

Pass 5:
  Compare -83 and -63
  No swap needed
  Compare -63 and -45
  No swap needed
  Compare -45 and -9
  No swap needed
  Compare -9 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -63, -45, -9, -1, 25, 44, 60, 94]
</think>

<response>-83, -63, -45, -9, -1, 25, 44, 60, 94</response>


input: Sort these integers 12, 42, -63, -65, 32, -21, 29 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [12, 42, -63, -65, 32, -21, 29]

Pass 1:
  Compare 12 and 42
  No swap needed
  Compare 42 and -63
  Swap 42 and -63
  List after swap: [12, -63, 42, -65, 32, -21, 29]
  Compare 42 and -65
  Swap 42 and -65
  List after swap: [12, -63, -65, 42, 32, -21, 29]
  Compare 42 and 32
  Swap 42 and 32
  List after swap: [12, -63, -65, 32, 42, -21, 29]
  Compare 42 and -21
  Swap 42 and -21
  List after swap: [12, -63, -65, 32, -21, 42, 29]
  Compare 42 and 29
  Swap 42 and 29
  List after swap: [12, -63, -65, 32, -21, 29, 42]

Pass 2:
  Compare 12 and -63
  Swap 12 and -63
  List after swap: [-63, 12, -65, 32, -21, 29, 42]
  Compare 12 and -65
  Swap 12 and -65
  List after swap: [-63, -65, 12, 32, -21, 29, 42]
  Compare 12 and 32
  No swap needed
  Compare 32 and -21
  Swap 32 and -21
  List after swap: [-63, -65, 12, -21, 32, 29, 42]
  Compare 32 and 29
  Swap 32 and 29
  List after swap: [-63, -65, 12, -21, 29, 32, 42]

Pass 3:
  Compare -63 and -65
  Swap -63 and -65
  List after swap: [-65, -63, 12, -21, 29, 32, 42]
  Compare -63 and 12
  No swap needed
  Compare 12 and -21
  Swap 12 and -21
  List after swap: [-65, -63, -21, 12, 29, 32, 42]
  Compare 12 and 29
  No swap needed

Pass 4:
  Compare -65 and -63
  No swap needed
  Compare -63 and -21
  No swap needed
  Compare -21 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -63, -21, 12, 29, 32, 42]
</think>

<response>-65, -63, -21, 12, 29, 32, 42</response>


input: Sort these integers -6, -22, 1, 61, -20 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-6, -22, 1, 61, -20]

Pass 1:
  Compare -6 and -22
  Swap -6 and -22
  List after swap: [-22, -6, 1, 61, -20]
  Compare -6 and 1
  No swap needed
  Compare 1 and 61
  No swap needed
  Compare 61 and -20
  Swap 61 and -20
  List after swap: [-22, -6, 1, -20, 61]

Pass 2:
  Compare -22 and -6
  No swap needed
  Compare -6 and 1
  No swap needed
  Compare 1 and -20
  Swap 1 and -20
  List after swap: [-22, -6, -20, 1, 61]

Pass 3:
  Compare -22 and -6
  No swap needed
  Compare -6 and -20
  Swap -6 and -20
  List after swap: [-22, -20, -6, 1, 61]

Pass 4:
  Compare -22 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-22, -20, -6, 1, 61]
</think>

<response>-22, -20, -6, 1, 61</response>


input: Using the bubble sort method, sort 29, -12, -15, -28 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [29, -12, -15, -28]

Pass 1:
  Compare 29 and -12
  Swap 29 and -12
  List after swap: [-12, 29, -15, -28]
  Compare 29 and -15
  Swap 29 and -15
  List after swap: [-12, -15, 29, -28]
  Compare 29 and -28
  Swap 29 and -28
  List after swap: [-12, -15, -28, 29]

Pass 2:
  Compare -12 and -15
  Swap -12 and -15
  List after swap: [-15, -12, -28, 29]
  Compare -12 and -28
  Swap -12 and -28
  List after swap: [-15, -28, -12, 29]

Pass 3:
  Compare -15 and -28
  Swap -15 and -28
  List after swap: [-28, -15, -12, 29]

Pass 4:
  No swaps in this pass, list is sorted.

Final sorted list: [-28, -15, -12, 29]
</think>

<response>-28, -15, -12, 29</response>


input: Execute bubble sort to sort -59, 78 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-59, 78]

Pass 1:
  Compare -59 and 78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, 78]
</think>

<response>-59, 78</response>


input: Demonstrate how bubble sort orders the integers -29, -1, 27, 42, -78 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-29, -1, 27, 42, -78]

Pass 1:
  Compare -29 and -1
  No swap needed
  Compare -1 and 27
  No swap needed
  Compare 27 and 42
  No swap needed
  Compare 42 and -78
  Swap 42 and -78
  List after swap: [-29, -1, 27, -78, 42]

Pass 2:
  Compare -29 and -1
  No swap needed
  Compare -1 and 27
  No swap needed
  Compare 27 and -78
  Swap 27 and -78
  List after swap: [-29, -1, -78, 27, 42]

Pass 3:
  Compare -29 and -1
  No swap needed
  Compare -1 and -78
  Swap -1 and -78
  List after swap: [-29, -78, -1, 27, 42]

Pass 4:
  Compare -29 and -78
  Swap -29 and -78
  List after swap: [-78, -29, -1, 27, 42]

Pass 5:
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -29, -1, 27, 42]
</think>

<response>-78, -29, -1, 27, 42</response>


input: Sort these integers 35, -87, -97, -54, -47, -90, -35 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [35, -87, -97, -54, -47, -90, -35]

Pass 1:
  Compare 35 and -87
  Swap 35 and -87
  List after swap: [-87, 35, -97, -54, -47, -90, -35]
  Compare 35 and -97
  Swap 35 and -97
  List after swap: [-87, -97, 35, -54, -47, -90, -35]
  Compare 35 and -54
  Swap 35 and -54
  List after swap: [-87, -97, -54, 35, -47, -90, -35]
  Compare 35 and -47
  Swap 35 and -47
  List after swap: [-87, -97, -54, -47, 35, -90, -35]
  Compare 35 and -90
  Swap 35 and -90
  List after swap: [-87, -97, -54, -47, -90, 35, -35]
  Compare 35 and -35
  Swap 35 and -35
  List after swap: [-87, -97, -54, -47, -90, -35, 35]

Pass 2:
  Compare -87 and -97
  Swap -87 and -97
  List after swap: [-97, -87, -54, -47, -90, -35, 35]
  Compare -87 and -54
  No swap needed
  Compare -54 and -47
  No swap needed
  Compare -47 and -90
  Swap -47 and -90
  List after swap: [-97, -87, -54, -90, -47, -35, 35]
  Compare -47 and -35
  No swap needed

Pass 3:
  Compare -97 and -87
  No swap needed
  Compare -87 and -54
  No swap needed
  Compare -54 and -90
  Swap -54 and -90
  List after swap: [-97, -87, -90, -54, -47, -35, 35]
  Compare -54 and -47
  No swap needed

Pass 4:
  Compare -97 and -87
  No swap needed
  Compare -87 and -90
  Swap -87 and -90
  List after swap: [-97, -90, -87, -54, -47, -35, 35]
  Compare -87 and -54
  No swap needed

Pass 5:
  Compare -97 and -90
  No swap needed
  Compare -90 and -87
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -90, -87, -54, -47, -35, 35]
</think>

<response>-97, -90, -87, -54, -47, -35, 35</response>


input: Arrange the numbers 48, -57, 55, 98, 68, 26 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [48, -57, 55, 98, 68, 26]

Pass 1:
  Compare 48 and -57
  Swap 48 and -57
  List after swap: [-57, 48, 55, 98, 68, 26]
  Compare 48 and 55
  No swap needed
  Compare 55 and 98
  No swap needed
  Compare 98 and 68
  Swap 98 and 68
  List after swap: [-57, 48, 55, 68, 98, 26]
  Compare 98 and 26
  Swap 98 and 26
  List after swap: [-57, 48, 55, 68, 26, 98]

Pass 2:
  Compare -57 and 48
  No swap needed
  Compare 48 and 55
  No swap needed
  Compare 55 and 68
  No swap needed
  Compare 68 and 26
  Swap 68 and 26
  List after swap: [-57, 48, 55, 26, 68, 98]

Pass 3:
  Compare -57 and 48
  No swap needed
  Compare 48 and 55
  No swap needed
  Compare 55 and 26
  Swap 55 and 26
  List after swap: [-57, 48, 26, 55, 68, 98]

Pass 4:
  Compare -57 and 48
  No swap needed
  Compare 48 and 26
  Swap 48 and 26
  List after swap: [-57, 26, 48, 55, 68, 98]

Pass 5:
  Compare -57 and 26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, 26, 48, 55, 68, 98]
</think>

<response>-57, 26, 48, 55, 68, 98</response>


input: Perform a bubble sort on the integers -2, 89, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-2, 89]

Pass 1:
  Compare -2 and 89
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-2, 89]
</think>

<response>-2, 89</response>


input: Use the bubble sort technique to reorder -46, 92, 4, -42, -91, 33 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-46, 92, 4, -42, -91, 33]

Pass 1:
  Compare -46 and 92
  No swap needed
  Compare 92 and 4
  Swap 92 and 4
  List after swap: [-46, 4, 92, -42, -91, 33]
  Compare 92 and -42
  Swap 92 and -42
  List after swap: [-46, 4, -42, 92, -91, 33]
  Compare 92 and -91
  Swap 92 and -91
  List after swap: [-46, 4, -42, -91, 92, 33]
  Compare 92 and 33
  Swap 92 and 33
  List after swap: [-46, 4, -42, -91, 33, 92]

Pass 2:
  Compare -46 and 4
  No swap needed
  Compare 4 and -42
  Swap 4 and -42
  List after swap: [-46, -42, 4, -91, 33, 92]
  Compare 4 and -91
  Swap 4 and -91
  List after swap: [-46, -42, -91, 4, 33, 92]
  Compare 4 and 33
  No swap needed

Pass 3:
  Compare -46 and -42
  No swap needed
  Compare -42 and -91
  Swap -42 and -91
  List after swap: [-46, -91, -42, 4, 33, 92]
  Compare -42 and 4
  No swap needed

Pass 4:
  Compare -46 and -91
  Swap -46 and -91
  List after swap: [-91, -46, -42, 4, 33, 92]
  Compare -46 and -42
  No swap needed

Pass 5:
  Compare -91 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -46, -42, 4, 33, 92]
</think>

<response>-91, -46, -42, 4, 33, 92</response>


input: Execute bubble sort to sort -28, 23, 5, -43, 21, -83, -72, 10 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-28, 23, 5, -43, 21, -83, -72, 10]

Pass 1:
  Compare -28 and 23
  No swap needed
  Compare 23 and 5
  Swap 23 and 5
  List after swap: [-28, 5, 23, -43, 21, -83, -72, 10]
  Compare 23 and -43
  Swap 23 and -43
  List after swap: [-28, 5, -43, 23, 21, -83, -72, 10]
  Compare 23 and 21
  Swap 23 and 21
  List after swap: [-28, 5, -43, 21, 23, -83, -72, 10]
  Compare 23 and -83
  Swap 23 and -83
  List after swap: [-28, 5, -43, 21, -83, 23, -72, 10]
  Compare 23 and -72
  Swap 23 and -72
  List after swap: [-28, 5, -43, 21, -83, -72, 23, 10]
  Compare 23 and 10
  Swap 23 and 10
  List after swap: [-28, 5, -43, 21, -83, -72, 10, 23]

Pass 2:
  Compare -28 and 5
  No swap needed
  Compare 5 and -43
  Swap 5 and -43
  List after swap: [-28, -43, 5, 21, -83, -72, 10, 23]
  Compare 5 and 21
  No swap needed
  Compare 21 and -83
  Swap 21 and -83
  List after swap: [-28, -43, 5, -83, 21, -72, 10, 23]
  Compare 21 and -72
  Swap 21 and -72
  List after swap: [-28, -43, 5, -83, -72, 21, 10, 23]
  Compare 21 and 10
  Swap 21 and 10
  List after swap: [-28, -43, 5, -83, -72, 10, 21, 23]

Pass 3:
  Compare -28 and -43
  Swap -28 and -43
  List after swap: [-43, -28, 5, -83, -72, 10, 21, 23]
  Compare -28 and 5
  No swap needed
  Compare 5 and -83
  Swap 5 and -83
  List after swap: [-43, -28, -83, 5, -72, 10, 21, 23]
  Compare 5 and -72
  Swap 5 and -72
  List after swap: [-43, -28, -83, -72, 5, 10, 21, 23]
  Compare 5 and 10
  No swap needed

Pass 4:
  Compare -43 and -28
  No swap needed
  Compare -28 and -83
  Swap -28 and -83
  List after swap: [-43, -83, -28, -72, 5, 10, 21, 23]
  Compare -28 and -72
  Swap -28 and -72
  List after swap: [-43, -83, -72, -28, 5, 10, 21, 23]
  Compare -28 and 5
  No swap needed

Pass 5:
  Compare -43 and -83
  Swap -43 and -83
  List after swap: [-83, -43, -72, -28, 5, 10, 21, 23]
  Compare -43 and -72
  Swap -43 and -72
  List after swap: [-83, -72, -43, -28, 5, 10, 21, 23]
  Compare -43 and -28
  No swap needed

Pass 6:
  Compare -83 and -72
  No swap needed
  Compare -72 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -72, -43, -28, 5, 10, 21, 23]
</think>

<response>-83, -72, -43, -28, 5, 10, 21, 23</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -81, -25, -51, -93, 23, 13.

output:
<think>
Initial list: [-81, -25, -51, -93, 23, 13]

Pass 1:
  Compare -81 and -25
  No swap needed
  Compare -25 and -51
  Swap -25 and -51
  List after swap: [-81, -51, -25, -93, 23, 13]
  Compare -25 and -93
  Swap -25 and -93
  List after swap: [-81, -51, -93, -25, 23, 13]
  Compare -25 and 23
  No swap needed
  Compare 23 and 13
  Swap 23 and 13
  List after swap: [-81, -51, -93, -25, 13, 23]

Pass 2:
  Compare -81 and -51
  No swap needed
  Compare -51 and -93
  Swap -51 and -93
  List after swap: [-81, -93, -51, -25, 13, 23]
  Compare -51 and -25
  No swap needed
  Compare -25 and 13
  No swap needed

Pass 3:
  Compare -81 and -93
  Swap -81 and -93
  List after swap: [-93, -81, -51, -25, 13, 23]
  Compare -81 and -51
  No swap needed
  Compare -51 and -25
  No swap needed

Pass 4:
  Compare -93 and -81
  No swap needed
  Compare -81 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -81, -51, -25, 13, 23]
</think>

<response>-93, -81, -51, -25, 13, 23</response>


input: Arrange the numbers -78, 11 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-78, 11]

Pass 1:
  Compare -78 and 11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, 11]
</think>

<response>-78, 11</response>


input: Execute bubble sort to sort -58, 35, -64 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-58, 35, -64]

Pass 1:
  Compare -58 and 35
  No swap needed
  Compare 35 and -64
  Swap 35 and -64
  List after swap: [-58, -64, 35]

Pass 2:
  Compare -58 and -64
  Swap -58 and -64
  List after swap: [-64, -58, 35]

Pass 3:
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -58, 35]
</think>

<response>-64, -58, 35</response>


input: Carry out the bubble sort algorithm on 51, 88, 97, 78, -14, -9, -94, 11, 8 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [51, 88, 97, 78, -14, -9, -94, 11, 8]

Pass 1:
  Compare 51 and 88
  No swap needed
  Compare 88 and 97
  No swap needed
  Compare 97 and 78
  Swap 97 and 78
  List after swap: [51, 88, 78, 97, -14, -9, -94, 11, 8]
  Compare 97 and -14
  Swap 97 and -14
  List after swap: [51, 88, 78, -14, 97, -9, -94, 11, 8]
  Compare 97 and -9
  Swap 97 and -9
  List after swap: [51, 88, 78, -14, -9, 97, -94, 11, 8]
  Compare 97 and -94
  Swap 97 and -94
  List after swap: [51, 88, 78, -14, -9, -94, 97, 11, 8]
  Compare 97 and 11
  Swap 97 and 11
  List after swap: [51, 88, 78, -14, -9, -94, 11, 97, 8]
  Compare 97 and 8
  Swap 97 and 8
  List after swap: [51, 88, 78, -14, -9, -94, 11, 8, 97]

Pass 2:
  Compare 51 and 88
  No swap needed
  Compare 88 and 78
  Swap 88 and 78
  List after swap: [51, 78, 88, -14, -9, -94, 11, 8, 97]
  Compare 88 and -14
  Swap 88 and -14
  List after swap: [51, 78, -14, 88, -9, -94, 11, 8, 97]
  Compare 88 and -9
  Swap 88 and -9
  List after swap: [51, 78, -14, -9, 88, -94, 11, 8, 97]
  Compare 88 and -94
  Swap 88 and -94
  List after swap: [51, 78, -14, -9, -94, 88, 11, 8, 97]
  Compare 88 and 11
  Swap 88 and 11
  List after swap: [51, 78, -14, -9, -94, 11, 88, 8, 97]
  Compare 88 and 8
  Swap 88 and 8
  List after swap: [51, 78, -14, -9, -94, 11, 8, 88, 97]

Pass 3:
  Compare 51 and 78
  No swap needed
  Compare 78 and -14
  Swap 78 and -14
  List after swap: [51, -14, 78, -9, -94, 11, 8, 88, 97]
  Compare 78 and -9
  Swap 78 and -9
  List after swap: [51, -14, -9, 78, -94, 11, 8, 88, 97]
  Compare 78 and -94
  Swap 78 and -94
  List after swap: [51, -14, -9, -94, 78, 11, 8, 88, 97]
  Compare 78 and 11
  Swap 78 and 11
  List after swap: [51, -14, -9, -94, 11, 78, 8, 88, 97]
  Compare 78 and 8
  Swap 78 and 8
  List after swap: [51, -14, -9, -94, 11, 8, 78, 88, 97]

Pass 4:
  Compare 51 and -14
  Swap 51 and -14
  List after swap: [-14, 51, -9, -94, 11, 8, 78, 88, 97]
  Compare 51 and -9
  Swap 51 and -9
  List after swap: [-14, -9, 51, -94, 11, 8, 78, 88, 97]
  Compare 51 and -94
  Swap 51 and -94
  List after swap: [-14, -9, -94, 51, 11, 8, 78, 88, 97]
  Compare 51 and 11
  Swap 51 and 11
  List after swap: [-14, -9, -94, 11, 51, 8, 78, 88, 97]
  Compare 51 and 8
  Swap 51 and 8
  List after swap: [-14, -9, -94, 11, 8, 51, 78, 88, 97]

Pass 5:
  Compare -14 and -9
  No swap needed
  Compare -9 and -94
  Swap -9 and -94
  List after swap: [-14, -94, -9, 11, 8, 51, 78, 88, 97]
  Compare -9 and 11
  No swap needed
  Compare 11 and 8
  Swap 11 and 8
  List after swap: [-14, -94, -9, 8, 11, 51, 78, 88, 97]

Pass 6:
  Compare -14 and -94
  Swap -14 and -94
  List after swap: [-94, -14, -9, 8, 11, 51, 78, 88, 97]
  Compare -14 and -9
  No swap needed
  Compare -9 and 8
  No swap needed

Pass 7:
  Compare -94 and -14
  No swap needed
  Compare -14 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -14, -9, 8, 11, 51, 78, 88, 97]
</think>

<response>-94, -14, -9, 8, 11, 51, 78, 88, 97</response>


input: Implement bubble sort on -40, 2, 56, -10 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-40, 2, 56, -10]

Pass 1:
  Compare -40 and 2
  No swap needed
  Compare 2 and 56
  No swap needed
  Compare 56 and -10
  Swap 56 and -10
  List after swap: [-40, 2, -10, 56]

Pass 2:
  Compare -40 and 2
  No swap needed
  Compare 2 and -10
  Swap 2 and -10
  List after swap: [-40, -10, 2, 56]

Pass 3:
  Compare -40 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-40, -10, 2, 56]
</think>

<response>-40, -10, 2, 56</response>


input: Using the bubble sort method, sort 28, -90, 69 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [28, -90, 69]

Pass 1:
  Compare 28 and -90
  Swap 28 and -90
  List after swap: [-90, 28, 69]
  Compare 28 and 69
  No swap needed

Pass 2:
  Compare -90 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, 28, 69]
</think>

<response>-90, 28, 69</response>


input: Arrange the numbers -29, 7, 1, 64, -84, -31, 83, -24, 89 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-29, 7, 1, 64, -84, -31, 83, -24, 89]

Pass 1:
  Compare -29 and 7
  No swap needed
  Compare 7 and 1
  Swap 7 and 1
  List after swap: [-29, 1, 7, 64, -84, -31, 83, -24, 89]
  Compare 7 and 64
  No swap needed
  Compare 64 and -84
  Swap 64 and -84
  List after swap: [-29, 1, 7, -84, 64, -31, 83, -24, 89]
  Compare 64 and -31
  Swap 64 and -31
  List after swap: [-29, 1, 7, -84, -31, 64, 83, -24, 89]
  Compare 64 and 83
  No swap needed
  Compare 83 and -24
  Swap 83 and -24
  List after swap: [-29, 1, 7, -84, -31, 64, -24, 83, 89]
  Compare 83 and 89
  No swap needed

Pass 2:
  Compare -29 and 1
  No swap needed
  Compare 1 and 7
  No swap needed
  Compare 7 and -84
  Swap 7 and -84
  List after swap: [-29, 1, -84, 7, -31, 64, -24, 83, 89]
  Compare 7 and -31
  Swap 7 and -31
  List after swap: [-29, 1, -84, -31, 7, 64, -24, 83, 89]
  Compare 7 and 64
  No swap needed
  Compare 64 and -24
  Swap 64 and -24
  List after swap: [-29, 1, -84, -31, 7, -24, 64, 83, 89]
  Compare 64 and 83
  No swap needed

Pass 3:
  Compare -29 and 1
  No swap needed
  Compare 1 and -84
  Swap 1 and -84
  List after swap: [-29, -84, 1, -31, 7, -24, 64, 83, 89]
  Compare 1 and -31
  Swap 1 and -31
  List after swap: [-29, -84, -31, 1, 7, -24, 64, 83, 89]
  Compare 1 and 7
  No swap needed
  Compare 7 and -24
  Swap 7 and -24
  List after swap: [-29, -84, -31, 1, -24, 7, 64, 83, 89]
  Compare 7 and 64
  No swap needed

Pass 4:
  Compare -29 and -84
  Swap -29 and -84
  List after swap: [-84, -29, -31, 1, -24, 7, 64, 83, 89]
  Compare -29 and -31
  Swap -29 and -31
  List after swap: [-84, -31, -29, 1, -24, 7, 64, 83, 89]
  Compare -29 and 1
  No swap needed
  Compare 1 and -24
  Swap 1 and -24
  List after swap: [-84, -31, -29, -24, 1, 7, 64, 83, 89]
  Compare 1 and 7
  No swap needed

Pass 5:
  Compare -84 and -31
  No swap needed
  Compare -31 and -29
  No swap needed
  Compare -29 and -24
  No swap needed
  Compare -24 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -31, -29, -24, 1, 7, 64, 83, 89]
</think>

<response>-84, -31, -29, -24, 1, 7, 64, 83, 89</response>


input: Use the bubble sort technique to reorder -65, 72, 79, -14, 4, 59, 37, -21, -36 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-65, 72, 79, -14, 4, 59, 37, -21, -36]

Pass 1:
  Compare -65 and 72
  No swap needed
  Compare 72 and 79
  No swap needed
  Compare 79 and -14
  Swap 79 and -14
  List after swap: [-65, 72, -14, 79, 4, 59, 37, -21, -36]
  Compare 79 and 4
  Swap 79 and 4
  List after swap: [-65, 72, -14, 4, 79, 59, 37, -21, -36]
  Compare 79 and 59
  Swap 79 and 59
  List after swap: [-65, 72, -14, 4, 59, 79, 37, -21, -36]
  Compare 79 and 37
  Swap 79 and 37
  List after swap: [-65, 72, -14, 4, 59, 37, 79, -21, -36]
  Compare 79 and -21
  Swap 79 and -21
  List after swap: [-65, 72, -14, 4, 59, 37, -21, 79, -36]
  Compare 79 and -36
  Swap 79 and -36
  List after swap: [-65, 72, -14, 4, 59, 37, -21, -36, 79]

Pass 2:
  Compare -65 and 72
  No swap needed
  Compare 72 and -14
  Swap 72 and -14
  List after swap: [-65, -14, 72, 4, 59, 37, -21, -36, 79]
  Compare 72 and 4
  Swap 72 and 4
  List after swap: [-65, -14, 4, 72, 59, 37, -21, -36, 79]
  Compare 72 and 59
  Swap 72 and 59
  List after swap: [-65, -14, 4, 59, 72, 37, -21, -36, 79]
  Compare 72 and 37
  Swap 72 and 37
  List after swap: [-65, -14, 4, 59, 37, 72, -21, -36, 79]
  Compare 72 and -21
  Swap 72 and -21
  List after swap: [-65, -14, 4, 59, 37, -21, 72, -36, 79]
  Compare 72 and -36
  Swap 72 and -36
  List after swap: [-65, -14, 4, 59, 37, -21, -36, 72, 79]

Pass 3:
  Compare -65 and -14
  No swap needed
  Compare -14 and 4
  No swap needed
  Compare 4 and 59
  No swap needed
  Compare 59 and 37
  Swap 59 and 37
  List after swap: [-65, -14, 4, 37, 59, -21, -36, 72, 79]
  Compare 59 and -21
  Swap 59 and -21
  List after swap: [-65, -14, 4, 37, -21, 59, -36, 72, 79]
  Compare 59 and -36
  Swap 59 and -36
  List after swap: [-65, -14, 4, 37, -21, -36, 59, 72, 79]

Pass 4:
  Compare -65 and -14
  No swap needed
  Compare -14 and 4
  No swap needed
  Compare 4 and 37
  No swap needed
  Compare 37 and -21
  Swap 37 and -21
  List after swap: [-65, -14, 4, -21, 37, -36, 59, 72, 79]
  Compare 37 and -36
  Swap 37 and -36
  List after swap: [-65, -14, 4, -21, -36, 37, 59, 72, 79]

Pass 5:
  Compare -65 and -14
  No swap needed
  Compare -14 and 4
  No swap needed
  Compare 4 and -21
  Swap 4 and -21
  List after swap: [-65, -14, -21, 4, -36, 37, 59, 72, 79]
  Compare 4 and -36
  Swap 4 and -36
  List after swap: [-65, -14, -21, -36, 4, 37, 59, 72, 79]

Pass 6:
  Compare -65 and -14
  No swap needed
  Compare -14 and -21
  Swap -14 and -21
  List after swap: [-65, -21, -14, -36, 4, 37, 59, 72, 79]
  Compare -14 and -36
  Swap -14 and -36
  List after swap: [-65, -21, -36, -14, 4, 37, 59, 72, 79]

Pass 7:
  Compare -65 and -21
  No swap needed
  Compare -21 and -36
  Swap -21 and -36
  List after swap: [-65, -36, -21, -14, 4, 37, 59, 72, 79]

Pass 8:
  Compare -65 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -36, -21, -14, 4, 37, 59, 72, 79]
</think>

<response>-65, -36, -21, -14, 4, 37, 59, 72, 79</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -19, 29, 74, -26, 25, -87, -96, 14.

output:
<think>
Initial list: [-19, 29, 74, -26, 25, -87, -96, 14]

Pass 1:
  Compare -19 and 29
  No swap needed
  Compare 29 and 74
  No swap needed
  Compare 74 and -26
  Swap 74 and -26
  List after swap: [-19, 29, -26, 74, 25, -87, -96, 14]
  Compare 74 and 25
  Swap 74 and 25
  List after swap: [-19, 29, -26, 25, 74, -87, -96, 14]
  Compare 74 and -87
  Swap 74 and -87
  List after swap: [-19, 29, -26, 25, -87, 74, -96, 14]
  Compare 74 and -96
  Swap 74 and -96
  List after swap: [-19, 29, -26, 25, -87, -96, 74, 14]
  Compare 74 and 14
  Swap 74 and 14
  List after swap: [-19, 29, -26, 25, -87, -96, 14, 74]

Pass 2:
  Compare -19 and 29
  No swap needed
  Compare 29 and -26
  Swap 29 and -26
  List after swap: [-19, -26, 29, 25, -87, -96, 14, 74]
  Compare 29 and 25
  Swap 29 and 25
  List after swap: [-19, -26, 25, 29, -87, -96, 14, 74]
  Compare 29 and -87
  Swap 29 and -87
  List after swap: [-19, -26, 25, -87, 29, -96, 14, 74]
  Compare 29 and -96
  Swap 29 and -96
  List after swap: [-19, -26, 25, -87, -96, 29, 14, 74]
  Compare 29 and 14
  Swap 29 and 14
  List after swap: [-19, -26, 25, -87, -96, 14, 29, 74]

Pass 3:
  Compare -19 and -26
  Swap -19 and -26
  List after swap: [-26, -19, 25, -87, -96, 14, 29, 74]
  Compare -19 and 25
  No swap needed
  Compare 25 and -87
  Swap 25 and -87
  List after swap: [-26, -19, -87, 25, -96, 14, 29, 74]
  Compare 25 and -96
  Swap 25 and -96
  List after swap: [-26, -19, -87, -96, 25, 14, 29, 74]
  Compare 25 and 14
  Swap 25 and 14
  List after swap: [-26, -19, -87, -96, 14, 25, 29, 74]

Pass 4:
  Compare -26 and -19
  No swap needed
  Compare -19 and -87
  Swap -19 and -87
  List after swap: [-26, -87, -19, -96, 14, 25, 29, 74]
  Compare -19 and -96
  Swap -19 and -96
  List after swap: [-26, -87, -96, -19, 14, 25, 29, 74]
  Compare -19 and 14
  No swap needed

Pass 5:
  Compare -26 and -87
  Swap -26 and -87
  List after swap: [-87, -26, -96, -19, 14, 25, 29, 74]
  Compare -26 and -96
  Swap -26 and -96
  List after swap: [-87, -96, -26, -19, 14, 25, 29, 74]
  Compare -26 and -19
  No swap needed

Pass 6:
  Compare -87 and -96
  Swap -87 and -96
  List after swap: [-96, -87, -26, -19, 14, 25, 29, 74]
  Compare -87 and -26
  No swap needed

Pass 7:
  Compare -96 and -87
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -87, -26, -19, 14, 25, 29, 74]
</think>

<response>-96, -87, -26, -19, 14, 25, 29, 74</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -4, -45, 37, 33, 64, 42.

output:
<think>
Initial list: [-4, -45, 37, 33, 64, 42]

Pass 1:
  Compare -4 and -45
  Swap -4 and -45
  List after swap: [-45, -4, 37, 33, 64, 42]
  Compare -4 and 37
  No swap needed
  Compare 37 and 33
  Swap 37 and 33
  List after swap: [-45, -4, 33, 37, 64, 42]
  Compare 37 and 64
  No swap needed
  Compare 64 and 42
  Swap 64 and 42
  List after swap: [-45, -4, 33, 37, 42, 64]

Pass 2:
  Compare -45 and -4
  No swap needed
  Compare -4 and 33
  No swap needed
  Compare 33 and 37
  No swap needed
  Compare 37 and 42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-45, -4, 33, 37, 42, 64]
</think>

<response>-45, -4, 33, 37, 42, 64</response>


input: Sort these integers -16, -66, 51, 90 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-16, -66, 51, 90]

Pass 1:
  Compare -16 and -66
  Swap -16 and -66
  List after swap: [-66, -16, 51, 90]
  Compare -16 and 51
  No swap needed
  Compare 51 and 90
  No swap needed

Pass 2:
  Compare -66 and -16
  No swap needed
  Compare -16 and 51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -16, 51, 90]
</think>

<response>-66, -16, 51, 90</response>


input: Implement bubble sort on -19, 27, 19 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-19, 27, 19]

Pass 1:
  Compare -19 and 27
  No swap needed
  Compare 27 and 19
  Swap 27 and 19
  List after swap: [-19, 19, 27]

Pass 2:
  Compare -19 and 19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-19, 19, 27]
</think>

<response>-19, 19, 27</response>


input: Sort the list -35, 42 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-35, 42]

Pass 1:
  Compare -35 and 42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-35, 42]
</think>

<response>-35, 42</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 74, 24, -60, 35, 38, 51.

output:
<think>
Initial list: [74, 24, -60, 35, 38, 51]

Pass 1:
  Compare 74 and 24
  Swap 74 and 24
  List after swap: [24, 74, -60, 35, 38, 51]
  Compare 74 and -60
  Swap 74 and -60
  List after swap: [24, -60, 74, 35, 38, 51]
  Compare 74 and 35
  Swap 74 and 35
  List after swap: [24, -60, 35, 74, 38, 51]
  Compare 74 and 38
  Swap 74 and 38
  List after swap: [24, -60, 35, 38, 74, 51]
  Compare 74 and 51
  Swap 74 and 51
  List after swap: [24, -60, 35, 38, 51, 74]

Pass 2:
  Compare 24 and -60
  Swap 24 and -60
  List after swap: [-60, 24, 35, 38, 51, 74]
  Compare 24 and 35
  No swap needed
  Compare 35 and 38
  No swap needed
  Compare 38 and 51
  No swap needed

Pass 3:
  Compare -60 and 24
  No swap needed
  Compare 24 and 35
  No swap needed
  Compare 35 and 38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, 24, 35, 38, 51, 74]
</think>

<response>-60, 24, 35, 38, 51, 74</response>


input: Execute bubble sort to sort 21, 4, -26, -30, 76, -44, -27, -97, 12, -22 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [21, 4, -26, -30, 76, -44, -27, -97, 12, -22]

Pass 1:
  Compare 21 and 4
  Swap 21 and 4
  List after swap: [4, 21, -26, -30, 76, -44, -27, -97, 12, -22]
  Compare 21 and -26
  Swap 21 and -26
  List after swap: [4, -26, 21, -30, 76, -44, -27, -97, 12, -22]
  Compare 21 and -30
  Swap 21 and -30
  List after swap: [4, -26, -30, 21, 76, -44, -27, -97, 12, -22]
  Compare 21 and 76
  No swap needed
  Compare 76 and -44
  Swap 76 and -44
  List after swap: [4, -26, -30, 21, -44, 76, -27, -97, 12, -22]
  Compare 76 and -27
  Swap 76 and -27
  List after swap: [4, -26, -30, 21, -44, -27, 76, -97, 12, -22]
  Compare 76 and -97
  Swap 76 and -97
  List after swap: [4, -26, -30, 21, -44, -27, -97, 76, 12, -22]
  Compare 76 and 12
  Swap 76 and 12
  List after swap: [4, -26, -30, 21, -44, -27, -97, 12, 76, -22]
  Compare 76 and -22
  Swap 76 and -22
  List after swap: [4, -26, -30, 21, -44, -27, -97, 12, -22, 76]

Pass 2:
  Compare 4 and -26
  Swap 4 and -26
  List after swap: [-26, 4, -30, 21, -44, -27, -97, 12, -22, 76]
  Compare 4 and -30
  Swap 4 and -30
  List after swap: [-26, -30, 4, 21, -44, -27, -97, 12, -22, 76]
  Compare 4 and 21
  No swap needed
  Compare 21 and -44
  Swap 21 and -44
  List after swap: [-26, -30, 4, -44, 21, -27, -97, 12, -22, 76]
  Compare 21 and -27
  Swap 21 and -27
  List after swap: [-26, -30, 4, -44, -27, 21, -97, 12, -22, 76]
  Compare 21 and -97
  Swap 21 and -97
  List after swap: [-26, -30, 4, -44, -27, -97, 21, 12, -22, 76]
  Compare 21 and 12
  Swap 21 and 12
  List after swap: [-26, -30, 4, -44, -27, -97, 12, 21, -22, 76]
  Compare 21 and -22
  Swap 21 and -22
  List after swap: [-26, -30, 4, -44, -27, -97, 12, -22, 21, 76]

Pass 3:
  Compare -26 and -30
  Swap -26 and -30
  List after swap: [-30, -26, 4, -44, -27, -97, 12, -22, 21, 76]
  Compare -26 and 4
  No swap needed
  Compare 4 and -44
  Swap 4 and -44
  List after swap: [-30, -26, -44, 4, -27, -97, 12, -22, 21, 76]
  Compare 4 and -27
  Swap 4 and -27
  List after swap: [-30, -26, -44, -27, 4, -97, 12, -22, 21, 76]
  Compare 4 and -97
  Swap 4 and -97
  List after swap: [-30, -26, -44, -27, -97, 4, 12, -22, 21, 76]
  Compare 4 and 12
  No swap needed
  Compare 12 and -22
  Swap 12 and -22
  List after swap: [-30, -26, -44, -27, -97, 4, -22, 12, 21, 76]

Pass 4:
  Compare -30 and -26
  No swap needed
  Compare -26 and -44
  Swap -26 and -44
  List after swap: [-30, -44, -26, -27, -97, 4, -22, 12, 21, 76]
  Compare -26 and -27
  Swap -26 and -27
  List after swap: [-30, -44, -27, -26, -97, 4, -22, 12, 21, 76]
  Compare -26 and -97
  Swap -26 and -97
  List after swap: [-30, -44, -27, -97, -26, 4, -22, 12, 21, 76]
  Compare -26 and 4
  No swap needed
  Compare 4 and -22
  Swap 4 and -22
  List after swap: [-30, -44, -27, -97, -26, -22, 4, 12, 21, 76]

Pass 5:
  Compare -30 and -44
  Swap -30 and -44
  List after swap: [-44, -30, -27, -97, -26, -22, 4, 12, 21, 76]
  Compare -30 and -27
  No swap needed
  Compare -27 and -97
  Swap -27 and -97
  List after swap: [-44, -30, -97, -27, -26, -22, 4, 12, 21, 76]
  Compare -27 and -26
  No swap needed
  Compare -26 and -22
  No swap needed

Pass 6:
  Compare -44 and -30
  No swap needed
  Compare -30 and -97
  Swap -30 and -97
  List after swap: [-44, -97, -30, -27, -26, -22, 4, 12, 21, 76]
  Compare -30 and -27
  No swap needed
  Compare -27 and -26
  No swap needed

Pass 7:
  Compare -44 and -97
  Swap -44 and -97
  List after swap: [-97, -44, -30, -27, -26, -22, 4, 12, 21, 76]
  Compare -44 and -30
  No swap needed
  Compare -30 and -27
  No swap needed

Pass 8:
  Compare -97 and -44
  No swap needed
  Compare -44 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -44, -30, -27, -26, -22, 4, 12, 21, 76]
</think>

<response>-97, -44, -30, -27, -26, -22, 4, 12, 21, 76</response>


input: Using the bubble sort method, sort -20, -22, 61, -83, -81, 35, -29, -17, -80 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-20, -22, 61, -83, -81, 35, -29, -17, -80]

Pass 1:
  Compare -20 and -22
  Swap -20 and -22
  List after swap: [-22, -20, 61, -83, -81, 35, -29, -17, -80]
  Compare -20 and 61
  No swap needed
  Compare 61 and -83
  Swap 61 and -83
  List after swap: [-22, -20, -83, 61, -81, 35, -29, -17, -80]
  Compare 61 and -81
  Swap 61 and -81
  List after swap: [-22, -20, -83, -81, 61, 35, -29, -17, -80]
  Compare 61 and 35
  Swap 61 and 35
  List after swap: [-22, -20, -83, -81, 35, 61, -29, -17, -80]
  Compare 61 and -29
  Swap 61 and -29
  List after swap: [-22, -20, -83, -81, 35, -29, 61, -17, -80]
  Compare 61 and -17
  Swap 61 and -17
  List after swap: [-22, -20, -83, -81, 35, -29, -17, 61, -80]
  Compare 61 and -80
  Swap 61 and -80
  List after swap: [-22, -20, -83, -81, 35, -29, -17, -80, 61]

Pass 2:
  Compare -22 and -20
  No swap needed
  Compare -20 and -83
  Swap -20 and -83
  List after swap: [-22, -83, -20, -81, 35, -29, -17, -80, 61]
  Compare -20 and -81
  Swap -20 and -81
  List after swap: [-22, -83, -81, -20, 35, -29, -17, -80, 61]
  Compare -20 and 35
  No swap needed
  Compare 35 and -29
  Swap 35 and -29
  List after swap: [-22, -83, -81, -20, -29, 35, -17, -80, 61]
  Compare 35 and -17
  Swap 35 and -17
  List after swap: [-22, -83, -81, -20, -29, -17, 35, -80, 61]
  Compare 35 and -80
  Swap 35 and -80
  List after swap: [-22, -83, -81, -20, -29, -17, -80, 35, 61]

Pass 3:
  Compare -22 and -83
  Swap -22 and -83
  List after swap: [-83, -22, -81, -20, -29, -17, -80, 35, 61]
  Compare -22 and -81
  Swap -22 and -81
  List after swap: [-83, -81, -22, -20, -29, -17, -80, 35, 61]
  Compare -22 and -20
  No swap needed
  Compare -20 and -29
  Swap -20 and -29
  List after swap: [-83, -81, -22, -29, -20, -17, -80, 35, 61]
  Compare -20 and -17
  No swap needed
  Compare -17 and -80
  Swap -17 and -80
  List after swap: [-83, -81, -22, -29, -20, -80, -17, 35, 61]

Pass 4:
  Compare -83 and -81
  No swap needed
  Compare -81 and -22
  No swap needed
  Compare -22 and -29
  Swap -22 and -29
  List after swap: [-83, -81, -29, -22, -20, -80, -17, 35, 61]
  Compare -22 and -20
  No swap needed
  Compare -20 and -80
  Swap -20 and -80
  List after swap: [-83, -81, -29, -22, -80, -20, -17, 35, 61]

Pass 5:
  Compare -83 and -81
  No swap needed
  Compare -81 and -29
  No swap needed
  Compare -29 and -22
  No swap needed
  Compare -22 and -80
  Swap -22 and -80
  List after swap: [-83, -81, -29, -80, -22, -20, -17, 35, 61]

Pass 6:
  Compare -83 and -81
  No swap needed
  Compare -81 and -29
  No swap needed
  Compare -29 and -80
  Swap -29 and -80
  List after swap: [-83, -81, -80, -29, -22, -20, -17, 35, 61]

Pass 7:
  Compare -83 and -81
  No swap needed
  Compare -81 and -80
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -81, -80, -29, -22, -20, -17, 35, 61]
</think>

<response>-83, -81, -80, -29, -22, -20, -17, 35, 61</response>


input: Carry out the bubble sort algorithm on -75, -42, -86, -82, 66, 86, 96, -13, 0, -64 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-75, -42, -86, -82, 66, 86, 96, -13, 0, -64]

Pass 1:
  Compare -75 and -42
  No swap needed
  Compare -42 and -86
  Swap -42 and -86
  List after swap: [-75, -86, -42, -82, 66, 86, 96, -13, 0, -64]
  Compare -42 and -82
  Swap -42 and -82
  List after swap: [-75, -86, -82, -42, 66, 86, 96, -13, 0, -64]
  Compare -42 and 66
  No swap needed
  Compare 66 and 86
  No swap needed
  Compare 86 and 96
  No swap needed
  Compare 96 and -13
  Swap 96 and -13
  List after swap: [-75, -86, -82, -42, 66, 86, -13, 96, 0, -64]
  Compare 96 and 0
  Swap 96 and 0
  List after swap: [-75, -86, -82, -42, 66, 86, -13, 0, 96, -64]
  Compare 96 and -64
  Swap 96 and -64
  List after swap: [-75, -86, -82, -42, 66, 86, -13, 0, -64, 96]

Pass 2:
  Compare -75 and -86
  Swap -75 and -86
  List after swap: [-86, -75, -82, -42, 66, 86, -13, 0, -64, 96]
  Compare -75 and -82
  Swap -75 and -82
  List after swap: [-86, -82, -75, -42, 66, 86, -13, 0, -64, 96]
  Compare -75 and -42
  No swap needed
  Compare -42 and 66
  No swap needed
  Compare 66 and 86
  No swap needed
  Compare 86 and -13
  Swap 86 and -13
  List after swap: [-86, -82, -75, -42, 66, -13, 86, 0, -64, 96]
  Compare 86 and 0
  Swap 86 and 0
  List after swap: [-86, -82, -75, -42, 66, -13, 0, 86, -64, 96]
  Compare 86 and -64
  Swap 86 and -64
  List after swap: [-86, -82, -75, -42, 66, -13, 0, -64, 86, 96]

Pass 3:
  Compare -86 and -82
  No swap needed
  Compare -82 and -75
  No swap needed
  Compare -75 and -42
  No swap needed
  Compare -42 and 66
  No swap needed
  Compare 66 and -13
  Swap 66 and -13
  List after swap: [-86, -82, -75, -42, -13, 66, 0, -64, 86, 96]
  Compare 66 and 0
  Swap 66 and 0
  List after swap: [-86, -82, -75, -42, -13, 0, 66, -64, 86, 96]
  Compare 66 and -64
  Swap 66 and -64
  List after swap: [-86, -82, -75, -42, -13, 0, -64, 66, 86, 96]

Pass 4:
  Compare -86 and -82
  No swap needed
  Compare -82 and -75
  No swap needed
  Compare -75 and -42
  No swap needed
  Compare -42 and -13
  No swap needed
  Compare -13 and 0
  No swap needed
  Compare 0 and -64
  Swap 0 and -64
  List after swap: [-86, -82, -75, -42, -13, -64, 0, 66, 86, 96]

Pass 5:
  Compare -86 and -82
  No swap needed
  Compare -82 and -75
  No swap needed
  Compare -75 and -42
  No swap needed
  Compare -42 and -13
  No swap needed
  Compare -13 and -64
  Swap -13 and -64
  List after swap: [-86, -82, -75, -42, -64, -13, 0, 66, 86, 96]

Pass 6:
  Compare -86 and -82
  No swap needed
  Compare -82 and -75
  No swap needed
  Compare -75 and -42
  No swap needed
  Compare -42 and -64
  Swap -42 and -64
  List after swap: [-86, -82, -75, -64, -42, -13, 0, 66, 86, 96]

Pass 7:
  Compare -86 and -82
  No swap needed
  Compare -82 and -75
  No swap needed
  Compare -75 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -82, -75, -64, -42, -13, 0, 66, 86, 96]
</think>

<response>-86, -82, -75, -64, -42, -13, 0, 66, 86, 96</response>


input: Using the bubble sort method, sort 31, 89, 53, 71, 99, -70 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [31, 89, 53, 71, 99, -70]

Pass 1:
  Compare 31 and 89
  No swap needed
  Compare 89 and 53
  Swap 89 and 53
  List after swap: [31, 53, 89, 71, 99, -70]
  Compare 89 and 71
  Swap 89 and 71
  List after swap: [31, 53, 71, 89, 99, -70]
  Compare 89 and 99
  No swap needed
  Compare 99 and -70
  Swap 99 and -70
  List after swap: [31, 53, 71, 89, -70, 99]

Pass 2:
  Compare 31 and 53
  No swap needed
  Compare 53 and 71
  No swap needed
  Compare 71 and 89
  No swap needed
  Compare 89 and -70
  Swap 89 and -70
  List after swap: [31, 53, 71, -70, 89, 99]

Pass 3:
  Compare 31 and 53
  No swap needed
  Compare 53 and 71
  No swap needed
  Compare 71 and -70
  Swap 71 and -70
  List after swap: [31, 53, -70, 71, 89, 99]

Pass 4:
  Compare 31 and 53
  No swap needed
  Compare 53 and -70
  Swap 53 and -70
  List after swap: [31, -70, 53, 71, 89, 99]

Pass 5:
  Compare 31 and -70
  Swap 31 and -70
  List after swap: [-70, 31, 53, 71, 89, 99]

Pass 6:
  No swaps in this pass, list is sorted.

Final sorted list: [-70, 31, 53, 71, 89, 99]
</think>

<response>-70, 31, 53, 71, 89, 99</response>


input: Using the bubble sort method, sort -7, -19, 71 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-7, -19, 71]

Pass 1:
  Compare -7 and -19
  Swap -7 and -19
  List after swap: [-19, -7, 71]
  Compare -7 and 71
  No swap needed

Pass 2:
  Compare -19 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-19, -7, 71]
</think>

<response>-19, -7, 71</response>


input: Demonstrate how bubble sort orders the integers 7, -37, 59, 27 in ascending sequence, showing all steps.

output:
<think>
Initial list: [7, -37, 59, 27]

Pass 1:
  Compare 7 and -37
  Swap 7 and -37
  List after swap: [-37, 7, 59, 27]
  Compare 7 and 59
  No swap needed
  Compare 59 and 27
  Swap 59 and 27
  List after swap: [-37, 7, 27, 59]

Pass 2:
  Compare -37 and 7
  No swap needed
  Compare 7 and 27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-37, 7, 27, 59]
</think>

<response>-37, 7, 27, 59</response>


input: Arrange the numbers -72, -59, -4, 99 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-72, -59, -4, 99]

Pass 1:
  Compare -72 and -59
  No swap needed
  Compare -59 and -4
  No swap needed
  Compare -4 and 99
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -59, -4, 99]
</think>

<response>-72, -59, -4, 99</response>


input: Arrange the numbers 27, -89, -55, 1, 5, 62, 80, 57, -42, -82 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [27, -89, -55, 1, 5, 62, 80, 57, -42, -82]

Pass 1:
  Compare 27 and -89
  Swap 27 and -89
  List after swap: [-89, 27, -55, 1, 5, 62, 80, 57, -42, -82]
  Compare 27 and -55
  Swap 27 and -55
  List after swap: [-89, -55, 27, 1, 5, 62, 80, 57, -42, -82]
  Compare 27 and 1
  Swap 27 and 1
  List after swap: [-89, -55, 1, 27, 5, 62, 80, 57, -42, -82]
  Compare 27 and 5
  Swap 27 and 5
  List after swap: [-89, -55, 1, 5, 27, 62, 80, 57, -42, -82]
  Compare 27 and 62
  No swap needed
  Compare 62 and 80
  No swap needed
  Compare 80 and 57
  Swap 80 and 57
  List after swap: [-89, -55, 1, 5, 27, 62, 57, 80, -42, -82]
  Compare 80 and -42
  Swap 80 and -42
  List after swap: [-89, -55, 1, 5, 27, 62, 57, -42, 80, -82]
  Compare 80 and -82
  Swap 80 and -82
  List after swap: [-89, -55, 1, 5, 27, 62, 57, -42, -82, 80]

Pass 2:
  Compare -89 and -55
  No swap needed
  Compare -55 and 1
  No swap needed
  Compare 1 and 5
  No swap needed
  Compare 5 and 27
  No swap needed
  Compare 27 and 62
  No swap needed
  Compare 62 and 57
  Swap 62 and 57
  List after swap: [-89, -55, 1, 5, 27, 57, 62, -42, -82, 80]
  Compare 62 and -42
  Swap 62 and -42
  List after swap: [-89, -55, 1, 5, 27, 57, -42, 62, -82, 80]
  Compare 62 and -82
  Swap 62 and -82
  List after swap: [-89, -55, 1, 5, 27, 57, -42, -82, 62, 80]

Pass 3:
  Compare -89 and -55
  No swap needed
  Compare -55 and 1
  No swap needed
  Compare 1 and 5
  No swap needed
  Compare 5 and 27
  No swap needed
  Compare 27 and 57
  No swap needed
  Compare 57 and -42
  Swap 57 and -42
  List after swap: [-89, -55, 1, 5, 27, -42, 57, -82, 62, 80]
  Compare 57 and -82
  Swap 57 and -82
  List after swap: [-89, -55, 1, 5, 27, -42, -82, 57, 62, 80]

Pass 4:
  Compare -89 and -55
  No swap needed
  Compare -55 and 1
  No swap needed
  Compare 1 and 5
  No swap needed
  Compare 5 and 27
  No swap needed
  Compare 27 and -42
  Swap 27 and -42
  List after swap: [-89, -55, 1, 5, -42, 27, -82, 57, 62, 80]
  Compare 27 and -82
  Swap 27 and -82
  List after swap: [-89, -55, 1, 5, -42, -82, 27, 57, 62, 80]

Pass 5:
  Compare -89 and -55
  No swap needed
  Compare -55 and 1
  No swap needed
  Compare 1 and 5
  No swap needed
  Compare 5 and -42
  Swap 5 and -42
  List after swap: [-89, -55, 1, -42, 5, -82, 27, 57, 62, 80]
  Compare 5 and -82
  Swap 5 and -82
  List after swap: [-89, -55, 1, -42, -82, 5, 27, 57, 62, 80]

Pass 6:
  Compare -89 and -55
  No swap needed
  Compare -55 and 1
  No swap needed
  Compare 1 and -42
  Swap 1 and -42
  List after swap: [-89, -55, -42, 1, -82, 5, 27, 57, 62, 80]
  Compare 1 and -82
  Swap 1 and -82
  List after swap: [-89, -55, -42, -82, 1, 5, 27, 57, 62, 80]

Pass 7:
  Compare -89 and -55
  No swap needed
  Compare -55 and -42
  No swap needed
  Compare -42 and -82
  Swap -42 and -82
  List after swap: [-89, -55, -82, -42, 1, 5, 27, 57, 62, 80]

Pass 8:
  Compare -89 and -55
  No swap needed
  Compare -55 and -82
  Swap -55 and -82
  List after swap: [-89, -82, -55, -42, 1, 5, 27, 57, 62, 80]

Pass 9:
  Compare -89 and -82
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -82, -55, -42, 1, 5, 27, 57, 62, 80]
</think>

<response>-89, -82, -55, -42, 1, 5, 27, 57, 62, 80</response>


input: Sort the list 44, 81, -92, -73 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [44, 81, -92, -73]

Pass 1:
  Compare 44 and 81
  No swap needed
  Compare 81 and -92
  Swap 81 and -92
  List after swap: [44, -92, 81, -73]
  Compare 81 and -73
  Swap 81 and -73
  List after swap: [44, -92, -73, 81]

Pass 2:
  Compare 44 and -92
  Swap 44 and -92
  List after swap: [-92, 44, -73, 81]
  Compare 44 and -73
  Swap 44 and -73
  List after swap: [-92, -73, 44, 81]

Pass 3:
  Compare -92 and -73
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -73, 44, 81]
</think>

<response>-92, -73, 44, 81</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -24, 6, -23, 27.

output:
<think>
Initial list: [-24, 6, -23, 27]

Pass 1:
  Compare -24 and 6
  No swap needed
  Compare 6 and -23
  Swap 6 and -23
  List after swap: [-24, -23, 6, 27]
  Compare 6 and 27
  No swap needed

Pass 2:
  Compare -24 and -23
  No swap needed
  Compare -23 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-24, -23, 6, 27]
</think>

<response>-24, -23, 6, 27</response>


input: Implement bubble sort on 2, -86, 32, -92, 20, -27, 11, -82, -64, 35 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [2, -86, 32, -92, 20, -27, 11, -82, -64, 35]

Pass 1:
  Compare 2 and -86
  Swap 2 and -86
  List after swap: [-86, 2, 32, -92, 20, -27, 11, -82, -64, 35]
  Compare 2 and 32
  No swap needed
  Compare 32 and -92
  Swap 32 and -92
  List after swap: [-86, 2, -92, 32, 20, -27, 11, -82, -64, 35]
  Compare 32 and 20
  Swap 32 and 20
  List after swap: [-86, 2, -92, 20, 32, -27, 11, -82, -64, 35]
  Compare 32 and -27
  Swap 32 and -27
  List after swap: [-86, 2, -92, 20, -27, 32, 11, -82, -64, 35]
  Compare 32 and 11
  Swap 32 and 11
  List after swap: [-86, 2, -92, 20, -27, 11, 32, -82, -64, 35]
  Compare 32 and -82
  Swap 32 and -82
  List after swap: [-86, 2, -92, 20, -27, 11, -82, 32, -64, 35]
  Compare 32 and -64
  Swap 32 and -64
  List after swap: [-86, 2, -92, 20, -27, 11, -82, -64, 32, 35]
  Compare 32 and 35
  No swap needed

Pass 2:
  Compare -86 and 2
  No swap needed
  Compare 2 and -92
  Swap 2 and -92
  List after swap: [-86, -92, 2, 20, -27, 11, -82, -64, 32, 35]
  Compare 2 and 20
  No swap needed
  Compare 20 and -27
  Swap 20 and -27
  List after swap: [-86, -92, 2, -27, 20, 11, -82, -64, 32, 35]
  Compare 20 and 11
  Swap 20 and 11
  List after swap: [-86, -92, 2, -27, 11, 20, -82, -64, 32, 35]
  Compare 20 and -82
  Swap 20 and -82
  List after swap: [-86, -92, 2, -27, 11, -82, 20, -64, 32, 35]
  Compare 20 and -64
  Swap 20 and -64
  List after swap: [-86, -92, 2, -27, 11, -82, -64, 20, 32, 35]
  Compare 20 and 32
  No swap needed

Pass 3:
  Compare -86 and -92
  Swap -86 and -92
  List after swap: [-92, -86, 2, -27, 11, -82, -64, 20, 32, 35]
  Compare -86 and 2
  No swap needed
  Compare 2 and -27
  Swap 2 and -27
  List after swap: [-92, -86, -27, 2, 11, -82, -64, 20, 32, 35]
  Compare 2 and 11
  No swap needed
  Compare 11 and -82
  Swap 11 and -82
  List after swap: [-92, -86, -27, 2, -82, 11, -64, 20, 32, 35]
  Compare 11 and -64
  Swap 11 and -64
  List after swap: [-92, -86, -27, 2, -82, -64, 11, 20, 32, 35]
  Compare 11 and 20
  No swap needed

Pass 4:
  Compare -92 and -86
  No swap needed
  Compare -86 and -27
  No swap needed
  Compare -27 and 2
  No swap needed
  Compare 2 and -82
  Swap 2 and -82
  List after swap: [-92, -86, -27, -82, 2, -64, 11, 20, 32, 35]
  Compare 2 and -64
  Swap 2 and -64
  List after swap: [-92, -86, -27, -82, -64, 2, 11, 20, 32, 35]
  Compare 2 and 11
  No swap needed

Pass 5:
  Compare -92 and -86
  No swap needed
  Compare -86 and -27
  No swap needed
  Compare -27 and -82
  Swap -27 and -82
  List after swap: [-92, -86, -82, -27, -64, 2, 11, 20, 32, 35]
  Compare -27 and -64
  Swap -27 and -64
  List after swap: [-92, -86, -82, -64, -27, 2, 11, 20, 32, 35]
  Compare -27 and 2
  No swap needed

Pass 6:
  Compare -92 and -86
  No swap needed
  Compare -86 and -82
  No swap needed
  Compare -82 and -64
  No swap needed
  Compare -64 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -86, -82, -64, -27, 2, 11, 20, 32, 35]
</think>

<response>-92, -86, -82, -64, -27, 2, 11, 20, 32, 35</response>


input: Sort the list -19, -32, -52, -74, 17 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-19, -32, -52, -74, 17]

Pass 1:
  Compare -19 and -32
  Swap -19 and -32
  List after swap: [-32, -19, -52, -74, 17]
  Compare -19 and -52
  Swap -19 and -52
  List after swap: [-32, -52, -19, -74, 17]
  Compare -19 and -74
  Swap -19 and -74
  List after swap: [-32, -52, -74, -19, 17]
  Compare -19 and 17
  No swap needed

Pass 2:
  Compare -32 and -52
  Swap -32 and -52
  List after swap: [-52, -32, -74, -19, 17]
  Compare -32 and -74
  Swap -32 and -74
  List after swap: [-52, -74, -32, -19, 17]
  Compare -32 and -19
  No swap needed

Pass 3:
  Compare -52 and -74
  Swap -52 and -74
  List after swap: [-74, -52, -32, -19, 17]
  Compare -52 and -32
  No swap needed

Pass 4:
  Compare -74 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -52, -32, -19, 17]
</think>

<response>-74, -52, -32, -19, 17</response>


input: Sort these integers -21, 39, -2, -4, -47, -33, -35, -98, -61, -75 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-21, 39, -2, -4, -47, -33, -35, -98, -61, -75]

Pass 1:
  Compare -21 and 39
  No swap needed
  Compare 39 and -2
  Swap 39 and -2
  List after swap: [-21, -2, 39, -4, -47, -33, -35, -98, -61, -75]
  Compare 39 and -4
  Swap 39 and -4
  List after swap: [-21, -2, -4, 39, -47, -33, -35, -98, -61, -75]
  Compare 39 and -47
  Swap 39 and -47
  List after swap: [-21, -2, -4, -47, 39, -33, -35, -98, -61, -75]
  Compare 39 and -33
  Swap 39 and -33
  List after swap: [-21, -2, -4, -47, -33, 39, -35, -98, -61, -75]
  Compare 39 and -35
  Swap 39 and -35
  List after swap: [-21, -2, -4, -47, -33, -35, 39, -98, -61, -75]
  Compare 39 and -98
  Swap 39 and -98
  List after swap: [-21, -2, -4, -47, -33, -35, -98, 39, -61, -75]
  Compare 39 and -61
  Swap 39 and -61
  List after swap: [-21, -2, -4, -47, -33, -35, -98, -61, 39, -75]
  Compare 39 and -75
  Swap 39 and -75
  List after swap: [-21, -2, -4, -47, -33, -35, -98, -61, -75, 39]

Pass 2:
  Compare -21 and -2
  No swap needed
  Compare -2 and -4
  Swap -2 and -4
  List after swap: [-21, -4, -2, -47, -33, -35, -98, -61, -75, 39]
  Compare -2 and -47
  Swap -2 and -47
  List after swap: [-21, -4, -47, -2, -33, -35, -98, -61, -75, 39]
  Compare -2 and -33
  Swap -2 and -33
  List after swap: [-21, -4, -47, -33, -2, -35, -98, -61, -75, 39]
  Compare -2 and -35
  Swap -2 and -35
  List after swap: [-21, -4, -47, -33, -35, -2, -98, -61, -75, 39]
  Compare -2 and -98
  Swap -2 and -98
  List after swap: [-21, -4, -47, -33, -35, -98, -2, -61, -75, 39]
  Compare -2 and -61
  Swap -2 and -61
  List after swap: [-21, -4, -47, -33, -35, -98, -61, -2, -75, 39]
  Compare -2 and -75
  Swap -2 and -75
  List after swap: [-21, -4, -47, -33, -35, -98, -61, -75, -2, 39]

Pass 3:
  Compare -21 and -4
  No swap needed
  Compare -4 and -47
  Swap -4 and -47
  List after swap: [-21, -47, -4, -33, -35, -98, -61, -75, -2, 39]
  Compare -4 and -33
  Swap -4 and -33
  List after swap: [-21, -47, -33, -4, -35, -98, -61, -75, -2, 39]
  Compare -4 and -35
  Swap -4 and -35
  List after swap: [-21, -47, -33, -35, -4, -98, -61, -75, -2, 39]
  Compare -4 and -98
  Swap -4 and -98
  List after swap: [-21, -47, -33, -35, -98, -4, -61, -75, -2, 39]
  Compare -4 and -61
  Swap -4 and -61
  List after swap: [-21, -47, -33, -35, -98, -61, -4, -75, -2, 39]
  Compare -4 and -75
  Swap -4 and -75
  List after swap: [-21, -47, -33, -35, -98, -61, -75, -4, -2, 39]

Pass 4:
  Compare -21 and -47
  Swap -21 and -47
  List after swap: [-47, -21, -33, -35, -98, -61, -75, -4, -2, 39]
  Compare -21 and -33
  Swap -21 and -33
  List after swap: [-47, -33, -21, -35, -98, -61, -75, -4, -2, 39]
  Compare -21 and -35
  Swap -21 and -35
  List after swap: [-47, -33, -35, -21, -98, -61, -75, -4, -2, 39]
  Compare -21 and -98
  Swap -21 and -98
  List after swap: [-47, -33, -35, -98, -21, -61, -75, -4, -2, 39]
  Compare -21 and -61
  Swap -21 and -61
  List after swap: [-47, -33, -35, -98, -61, -21, -75, -4, -2, 39]
  Compare -21 and -75
  Swap -21 and -75
  List after swap: [-47, -33, -35, -98, -61, -75, -21, -4, -2, 39]

Pass 5:
  Compare -47 and -33
  No swap needed
  Compare -33 and -35
  Swap -33 and -35
  List after swap: [-47, -35, -33, -98, -61, -75, -21, -4, -2, 39]
  Compare -33 and -98
  Swap -33 and -98
  List after swap: [-47, -35, -98, -33, -61, -75, -21, -4, -2, 39]
  Compare -33 and -61
  Swap -33 and -61
  List after swap: [-47, -35, -98, -61, -33, -75, -21, -4, -2, 39]
  Compare -33 and -75
  Swap -33 and -75
  List after swap: [-47, -35, -98, -61, -75, -33, -21, -4, -2, 39]

Pass 6:
  Compare -47 and -35
  No swap needed
  Compare -35 and -98
  Swap -35 and -98
  List after swap: [-47, -98, -35, -61, -75, -33, -21, -4, -2, 39]
  Compare -35 and -61
  Swap -35 and -61
  List after swap: [-47, -98, -61, -35, -75, -33, -21, -4, -2, 39]
  Compare -35 and -75
  Swap -35 and -75
  List after swap: [-47, -98, -61, -75, -35, -33, -21, -4, -2, 39]

Pass 7:
  Compare -47 and -98
  Swap -47 and -98
  List after swap: [-98, -47, -61, -75, -35, -33, -21, -4, -2, 39]
  Compare -47 and -61
  Swap -47 and -61
  List after swap: [-98, -61, -47, -75, -35, -33, -21, -4, -2, 39]
  Compare -47 and -75
  Swap -47 and -75
  List after swap: [-98, -61, -75, -47, -35, -33, -21, -4, -2, 39]

Pass 8:
  Compare -98 and -61
  No swap needed
  Compare -61 and -75
  Swap -61 and -75
  List after swap: [-98, -75, -61, -47, -35, -33, -21, -4, -2, 39]

Pass 9:
  Compare -98 and -75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -75, -61, -47, -35, -33, -21, -4, -2, 39]
</think>

<response>-98, -75, -61, -47, -35, -33, -21, -4, -2, 39</response>


input: Sort the list -42, -11 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-42, -11]

Pass 1:
  Compare -42 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-42, -11]
</think>

<response>-42, -11</response>


input: Carry out the bubble sort algorithm on -19, 43, -36, 97, 61 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-19, 43, -36, 97, 61]

Pass 1:
  Compare -19 and 43
  No swap needed
  Compare 43 and -36
  Swap 43 and -36
  List after swap: [-19, -36, 43, 97, 61]
  Compare 43 and 97
  No swap needed
  Compare 97 and 61
  Swap 97 and 61
  List after swap: [-19, -36, 43, 61, 97]

Pass 2:
  Compare -19 and -36
  Swap -19 and -36
  List after swap: [-36, -19, 43, 61, 97]
  Compare -19 and 43
  No swap needed
  Compare 43 and 61
  No swap needed

Pass 3:
  Compare -36 and -19
  No swap needed
  Compare -19 and 43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-36, -19, 43, 61, 97]
</think>

<response>-36, -19, 43, 61, 97</response>


input: Perform a bubble sort on the integers 49, 16, -44, -83, 60, 6, -68, 12, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [49, 16, -44, -83, 60, 6, -68, 12]

Pass 1:
  Compare 49 and 16
  Swap 49 and 16
  List after swap: [16, 49, -44, -83, 60, 6, -68, 12]
  Compare 49 and -44
  Swap 49 and -44
  List after swap: [16, -44, 49, -83, 60, 6, -68, 12]
  Compare 49 and -83
  Swap 49 and -83
  List after swap: [16, -44, -83, 49, 60, 6, -68, 12]
  Compare 49 and 60
  No swap needed
  Compare 60 and 6
  Swap 60 and 6
  List after swap: [16, -44, -83, 49, 6, 60, -68, 12]
  Compare 60 and -68
  Swap 60 and -68
  List after swap: [16, -44, -83, 49, 6, -68, 60, 12]
  Compare 60 and 12
  Swap 60 and 12
  List after swap: [16, -44, -83, 49, 6, -68, 12, 60]

Pass 2:
  Compare 16 and -44
  Swap 16 and -44
  List after swap: [-44, 16, -83, 49, 6, -68, 12, 60]
  Compare 16 and -83
  Swap 16 and -83
  List after swap: [-44, -83, 16, 49, 6, -68, 12, 60]
  Compare 16 and 49
  No swap needed
  Compare 49 and 6
  Swap 49 and 6
  List after swap: [-44, -83, 16, 6, 49, -68, 12, 60]
  Compare 49 and -68
  Swap 49 and -68
  List after swap: [-44, -83, 16, 6, -68, 49, 12, 60]
  Compare 49 and 12
  Swap 49 and 12
  List after swap: [-44, -83, 16, 6, -68, 12, 49, 60]

Pass 3:
  Compare -44 and -83
  Swap -44 and -83
  List after swap: [-83, -44, 16, 6, -68, 12, 49, 60]
  Compare -44 and 16
  No swap needed
  Compare 16 and 6
  Swap 16 and 6
  List after swap: [-83, -44, 6, 16, -68, 12, 49, 60]
  Compare 16 and -68
  Swap 16 and -68
  List after swap: [-83, -44, 6, -68, 16, 12, 49, 60]
  Compare 16 and 12
  Swap 16 and 12
  List after swap: [-83, -44, 6, -68, 12, 16, 49, 60]

Pass 4:
  Compare -83 and -44
  No swap needed
  Compare -44 and 6
  No swap needed
  Compare 6 and -68
  Swap 6 and -68
  List after swap: [-83, -44, -68, 6, 12, 16, 49, 60]
  Compare 6 and 12
  No swap needed

Pass 5:
  Compare -83 and -44
  No swap needed
  Compare -44 and -68
  Swap -44 and -68
  List after swap: [-83, -68, -44, 6, 12, 16, 49, 60]
  Compare -44 and 6
  No swap needed

Pass 6:
  Compare -83 and -68
  No swap needed
  Compare -68 and -44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -68, -44, 6, 12, 16, 49, 60]
</think>

<response>-83, -68, -44, 6, 12, 16, 49, 60</response>


input: Carry out the bubble sort algorithm on 68, 17, -20, 0 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [68, 17, -20, 0]

Pass 1:
  Compare 68 and 17
  Swap 68 and 17
  List after swap: [17, 68, -20, 0]
  Compare 68 and -20
  Swap 68 and -20
  List after swap: [17, -20, 68, 0]
  Compare 68 and 0
  Swap 68 and 0
  List after swap: [17, -20, 0, 68]

Pass 2:
  Compare 17 and -20
  Swap 17 and -20
  List after swap: [-20, 17, 0, 68]
  Compare 17 and 0
  Swap 17 and 0
  List after swap: [-20, 0, 17, 68]

Pass 3:
  Compare -20 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-20, 0, 17, 68]
</think>

<response>-20, 0, 17, 68</response>