input: Use the bubble sort technique to reorder 24, -22, 92, -2, -21, -85, -87 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [24, -22, 92, -2, -21, -85, -87]

Pass 1:
  Compare 24 and -22
  Swap 24 and -22
  List after swap: [-22, 24, 92, -2, -21, -85, -87]
  Compare 24 and 92
  No swap needed
  Compare 92 and -2
  Swap 92 and -2
  List after swap: [-22, 24, -2, 92, -21, -85, -87]
  Compare 92 and -21
  Swap 92 and -21
  List after swap: [-22, 24, -2, -21, 92, -85, -87]
  Compare 92 and -85
  Swap 92 and -85
  List after swap: [-22, 24, -2, -21, -85, 92, -87]
  Compare 92 and -87
  Swap 92 and -87
  List after swap: [-22, 24, -2, -21, -85, -87, 92]

Pass 2:
  Compare -22 and 24
  No swap needed
  Compare 24 and -2
  Swap 24 and -2
  List after swap: [-22, -2, 24, -21, -85, -87, 92]
  Compare 24 and -21
  Swap 24 and -21
  List after swap: [-22, -2, -21, 24, -85, -87, 92]
  Compare 24 and -85
  Swap 24 and -85
  List after swap: [-22, -2, -21, -85, 24, -87, 92]
  Compare 24 and -87
  Swap 24 and -87
  List after swap: [-22, -2, -21, -85, -87, 24, 92]

Pass 3:
  Compare -22 and -2
  No swap needed
  Compare -2 and -21
  Swap -2 and -21
  List after swap: [-22, -21, -2, -85, -87, 24, 92]
  Compare -2 and -85
  Swap -2 and -85
  List after swap: [-22, -21, -85, -2, -87, 24, 92]
  Compare -2 and -87
  Swap -2 and -87
  List after swap: [-22, -21, -85, -87, -2, 24, 92]

Pass 4:
  Compare -22 and -21
  No swap needed
  Compare -21 and -85
  Swap -21 and -85
  List after swap: [-22, -85, -21, -87, -2, 24, 92]
  Compare -21 and -87
  Swap -21 and -87
  List after swap: [-22, -85, -87, -21, -2, 24, 92]

Pass 5:
  Compare -22 and -85
  Swap -22 and -85
  List after swap: [-85, -22, -87, -21, -2, 24, 92]
  Compare -22 and -87
  Swap -22 and -87
  List after swap: [-85, -87, -22, -21, -2, 24, 92]

Pass 6:
  Compare -85 and -87
  Swap -85 and -87
  List after swap: [-87, -85, -22, -21, -2, 24, 92]

Pass 7:
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -85, -22, -21, -2, 24, 92]
</think>

<response>-87, -85, -22, -21, -2, 24, 92</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 53, -100, 11, 66.

output:
<think>
Initial list: [53, -100, 11, 66]

Pass 1:
  Compare 53 and -100
  Swap 53 and -100
  List after swap: [-100, 53, 11, 66]
  Compare 53 and 11
  Swap 53 and 11
  List after swap: [-100, 11, 53, 66]
  Compare 53 and 66
  No swap needed

Pass 2:
  Compare -100 and 11
  No swap needed
  Compare 11 and 53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, 11, 53, 66]
</think>

<response>-100, 11, 53, 66</response>


input: Carry out the bubble sort algorithm on 24, 44, -99, -68, -85, 66, -75, -70, -89, 54 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [24, 44, -99, -68, -85, 66, -75, -70, -89, 54]

Pass 1:
  Compare 24 and 44
  No swap needed
  Compare 44 and -99
  Swap 44 and -99
  List after swap: [24, -99, 44, -68, -85, 66, -75, -70, -89, 54]
  Compare 44 and -68
  Swap 44 and -68
  List after swap: [24, -99, -68, 44, -85, 66, -75, -70, -89, 54]
  Compare 44 and -85
  Swap 44 and -85
  List after swap: [24, -99, -68, -85, 44, 66, -75, -70, -89, 54]
  Compare 44 and 66
  No swap needed
  Compare 66 and -75
  Swap 66 and -75
  List after swap: [24, -99, -68, -85, 44, -75, 66, -70, -89, 54]
  Compare 66 and -70
  Swap 66 and -70
  List after swap: [24, -99, -68, -85, 44, -75, -70, 66, -89, 54]
  Compare 66 and -89
  Swap 66 and -89
  List after swap: [24, -99, -68, -85, 44, -75, -70, -89, 66, 54]
  Compare 66 and 54
  Swap 66 and 54
  List after swap: [24, -99, -68, -85, 44, -75, -70, -89, 54, 66]

Pass 2:
  Compare 24 and -99
  Swap 24 and -99
  List after swap: [-99, 24, -68, -85, 44, -75, -70, -89, 54, 66]
  Compare 24 and -68
  Swap 24 and -68
  List after swap: [-99, -68, 24, -85, 44, -75, -70, -89, 54, 66]
  Compare 24 and -85
  Swap 24 and -85
  List after swap: [-99, -68, -85, 24, 44, -75, -70, -89, 54, 66]
  Compare 24 and 44
  No swap needed
  Compare 44 and -75
  Swap 44 and -75
  List after swap: [-99, -68, -85, 24, -75, 44, -70, -89, 54, 66]
  Compare 44 and -70
  Swap 44 and -70
  List after swap: [-99, -68, -85, 24, -75, -70, 44, -89, 54, 66]
  Compare 44 and -89
  Swap 44 and -89
  List after swap: [-99, -68, -85, 24, -75, -70, -89, 44, 54, 66]
  Compare 44 and 54
  No swap needed

Pass 3:
  Compare -99 and -68
  No swap needed
  Compare -68 and -85
  Swap -68 and -85
  List after swap: [-99, -85, -68, 24, -75, -70, -89, 44, 54, 66]
  Compare -68 and 24
  No swap needed
  Compare 24 and -75
  Swap 24 and -75
  List after swap: [-99, -85, -68, -75, 24, -70, -89, 44, 54, 66]
  Compare 24 and -70
  Swap 24 and -70
  List after swap: [-99, -85, -68, -75, -70, 24, -89, 44, 54, 66]
  Compare 24 and -89
  Swap 24 and -89
  List after swap: [-99, -85, -68, -75, -70, -89, 24, 44, 54, 66]
  Compare 24 and 44
  No swap needed

Pass 4:
  Compare -99 and -85
  No swap needed
  Compare -85 and -68
  No swap needed
  Compare -68 and -75
  Swap -68 and -75
  List after swap: [-99, -85, -75, -68, -70, -89, 24, 44, 54, 66]
  Compare -68 and -70
  Swap -68 and -70
  List after swap: [-99, -85, -75, -70, -68, -89, 24, 44, 54, 66]
  Compare -68 and -89
  Swap -68 and -89
  List after swap: [-99, -85, -75, -70, -89, -68, 24, 44, 54, 66]
  Compare -68 and 24
  No swap needed

Pass 5:
  Compare -99 and -85
  No swap needed
  Compare -85 and -75
  No swap needed
  Compare -75 and -70
  No swap needed
  Compare -70 and -89
  Swap -70 and -89
  List after swap: [-99, -85, -75, -89, -70, -68, 24, 44, 54, 66]
  Compare -70 and -68
  No swap needed

Pass 6:
  Compare -99 and -85
  No swap needed
  Compare -85 and -75
  No swap needed
  Compare -75 and -89
  Swap -75 and -89
  List after swap: [-99, -85, -89, -75, -70, -68, 24, 44, 54, 66]
  Compare -75 and -70
  No swap needed

Pass 7:
  Compare -99 and -85
  No swap needed
  Compare -85 and -89
  Swap -85 and -89
  List after swap: [-99, -89, -85, -75, -70, -68, 24, 44, 54, 66]
  Compare -85 and -75
  No swap needed

Pass 8:
  Compare -99 and -89
  No swap needed
  Compare -89 and -85
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -89, -85, -75, -70, -68, 24, 44, 54, 66]
</think>

<response>-99, -89, -85, -75, -70, -68, 24, 44, 54, 66</response>


input: Sort the list 52, -86, 54, 79, -9, -23, -61 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [52, -86, 54, 79, -9, -23, -61]

Pass 1:
  Compare 52 and -86
  Swap 52 and -86
  List after swap: [-86, 52, 54, 79, -9, -23, -61]
  Compare 52 and 54
  No swap needed
  Compare 54 and 79
  No swap needed
  Compare 79 and -9
  Swap 79 and -9
  List after swap: [-86, 52, 54, -9, 79, -23, -61]
  Compare 79 and -23
  Swap 79 and -23
  List after swap: [-86, 52, 54, -9, -23, 79, -61]
  Compare 79 and -61
  Swap 79 and -61
  List after swap: [-86, 52, 54, -9, -23, -61, 79]

Pass 2:
  Compare -86 and 52
  No swap needed
  Compare 52 and 54
  No swap needed
  Compare 54 and -9
  Swap 54 and -9
  List after swap: [-86, 52, -9, 54, -23, -61, 79]
  Compare 54 and -23
  Swap 54 and -23
  List after swap: [-86, 52, -9, -23, 54, -61, 79]
  Compare 54 and -61
  Swap 54 and -61
  List after swap: [-86, 52, -9, -23, -61, 54, 79]

Pass 3:
  Compare -86 and 52
  No swap needed
  Compare 52 and -9
  Swap 52 and -9
  List after swap: [-86, -9, 52, -23, -61, 54, 79]
  Compare 52 and -23
  Swap 52 and -23
  List after swap: [-86, -9, -23, 52, -61, 54, 79]
  Compare 52 and -61
  Swap 52 and -61
  List after swap: [-86, -9, -23, -61, 52, 54, 79]

Pass 4:
  Compare -86 and -9
  No swap needed
  Compare -9 and -23
  Swap -9 and -23
  List after swap: [-86, -23, -9, -61, 52, 54, 79]
  Compare -9 and -61
  Swap -9 and -61
  List after swap: [-86, -23, -61, -9, 52, 54, 79]

Pass 5:
  Compare -86 and -23
  No swap needed
  Compare -23 and -61
  Swap -23 and -61
  List after swap: [-86, -61, -23, -9, 52, 54, 79]

Pass 6:
  Compare -86 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -61, -23, -9, 52, 54, 79]
</think>

<response>-86, -61, -23, -9, 52, 54, 79</response>


input: Carry out the bubble sort algorithm on -77, 9, -88, -37 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-77, 9, -88, -37]

Pass 1:
  Compare -77 and 9
  No swap needed
  Compare 9 and -88
  Swap 9 and -88
  List after swap: [-77, -88, 9, -37]
  Compare 9 and -37
  Swap 9 and -37
  List after swap: [-77, -88, -37, 9]

Pass 2:
  Compare -77 and -88
  Swap -77 and -88
  List after swap: [-88, -77, -37, 9]
  Compare -77 and -37
  No swap needed

Pass 3:
  Compare -88 and -77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -77, -37, 9]
</think>

<response>-88, -77, -37, 9</response>


input: Carry out the bubble sort algorithm on 39, 95, 67, 66, -37, -43 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [39, 95, 67, 66, -37, -43]

Pass 1:
  Compare 39 and 95
  No swap needed
  Compare 95 and 67
  Swap 95 and 67
  List after swap: [39, 67, 95, 66, -37, -43]
  Compare 95 and 66
  Swap 95 and 66
  List after swap: [39, 67, 66, 95, -37, -43]
  Compare 95 and -37
  Swap 95 and -37
  List after swap: [39, 67, 66, -37, 95, -43]
  Compare 95 and -43
  Swap 95 and -43
  List after swap: [39, 67, 66, -37, -43, 95]

Pass 2:
  Compare 39 and 67
  No swap needed
  Compare 67 and 66
  Swap 67 and 66
  List after swap: [39, 66, 67, -37, -43, 95]
  Compare 67 and -37
  Swap 67 and -37
  List after swap: [39, 66, -37, 67, -43, 95]
  Compare 67 and -43
  Swap 67 and -43
  List after swap: [39, 66, -37, -43, 67, 95]

Pass 3:
  Compare 39 and 66
  No swap needed
  Compare 66 and -37
  Swap 66 and -37
  List after swap: [39, -37, 66, -43, 67, 95]
  Compare 66 and -43
  Swap 66 and -43
  List after swap: [39, -37, -43, 66, 67, 95]

Pass 4:
  Compare 39 and -37
  Swap 39 and -37
  List after swap: [-37, 39, -43, 66, 67, 95]
  Compare 39 and -43
  Swap 39 and -43
  List after swap: [-37, -43, 39, 66, 67, 95]

Pass 5:
  Compare -37 and -43
  Swap -37 and -43
  List after swap: [-43, -37, 39, 66, 67, 95]

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

Final sorted list: [-43, -37, 39, 66, 67, 95]
</think>

<response>-43, -37, 39, 66, 67, 95</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -35, 83, 66, 15, 7.

output:
<think>
Initial list: [-35, 83, 66, 15, 7]

Pass 1:
  Compare -35 and 83
  No swap needed
  Compare 83 and 66
  Swap 83 and 66
  List after swap: [-35, 66, 83, 15, 7]
  Compare 83 and 15
  Swap 83 and 15
  List after swap: [-35, 66, 15, 83, 7]
  Compare 83 and 7
  Swap 83 and 7
  List after swap: [-35, 66, 15, 7, 83]

Pass 2:
  Compare -35 and 66
  No swap needed
  Compare 66 and 15
  Swap 66 and 15
  List after swap: [-35, 15, 66, 7, 83]
  Compare 66 and 7
  Swap 66 and 7
  List after swap: [-35, 15, 7, 66, 83]

Pass 3:
  Compare -35 and 15
  No swap needed
  Compare 15 and 7
  Swap 15 and 7
  List after swap: [-35, 7, 15, 66, 83]

Pass 4:
  Compare -35 and 7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-35, 7, 15, 66, 83]
</think>

<response>-35, 7, 15, 66, 83</response>


input: Carry out the bubble sort algorithm on 2, -86, -49, 12, 95, 76, 28, 89, -91 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [2, -86, -49, 12, 95, 76, 28, 89, -91]

Pass 1:
  Compare 2 and -86
  Swap 2 and -86
  List after swap: [-86, 2, -49, 12, 95, 76, 28, 89, -91]
  Compare 2 and -49
  Swap 2 and -49
  List after swap: [-86, -49, 2, 12, 95, 76, 28, 89, -91]
  Compare 2 and 12
  No swap needed
  Compare 12 and 95
  No swap needed
  Compare 95 and 76
  Swap 95 and 76
  List after swap: [-86, -49, 2, 12, 76, 95, 28, 89, -91]
  Compare 95 and 28
  Swap 95 and 28
  List after swap: [-86, -49, 2, 12, 76, 28, 95, 89, -91]
  Compare 95 and 89
  Swap 95 and 89
  List after swap: [-86, -49, 2, 12, 76, 28, 89, 95, -91]
  Compare 95 and -91
  Swap 95 and -91
  List after swap: [-86, -49, 2, 12, 76, 28, 89, -91, 95]

Pass 2:
  Compare -86 and -49
  No swap needed
  Compare -49 and 2
  No swap needed
  Compare 2 and 12
  No swap needed
  Compare 12 and 76
  No swap needed
  Compare 76 and 28
  Swap 76 and 28
  List after swap: [-86, -49, 2, 12, 28, 76, 89, -91, 95]
  Compare 76 and 89
  No swap needed
  Compare 89 and -91
  Swap 89 and -91
  List after swap: [-86, -49, 2, 12, 28, 76, -91, 89, 95]

Pass 3:
  Compare -86 and -49
  No swap needed
  Compare -49 and 2
  No swap needed
  Compare 2 and 12
  No swap needed
  Compare 12 and 28
  No swap needed
  Compare 28 and 76
  No swap needed
  Compare 76 and -91
  Swap 76 and -91
  List after swap: [-86, -49, 2, 12, 28, -91, 76, 89, 95]

Pass 4:
  Compare -86 and -49
  No swap needed
  Compare -49 and 2
  No swap needed
  Compare 2 and 12
  No swap needed
  Compare 12 and 28
  No swap needed
  Compare 28 and -91
  Swap 28 and -91
  List after swap: [-86, -49, 2, 12, -91, 28, 76, 89, 95]

Pass 5:
  Compare -86 and -49
  No swap needed
  Compare -49 and 2
  No swap needed
  Compare 2 and 12
  No swap needed
  Compare 12 and -91
  Swap 12 and -91
  List after swap: [-86, -49, 2, -91, 12, 28, 76, 89, 95]

Pass 6:
  Compare -86 and -49
  No swap needed
  Compare -49 and 2
  No swap needed
  Compare 2 and -91
  Swap 2 and -91
  List after swap: [-86, -49, -91, 2, 12, 28, 76, 89, 95]

Pass 7:
  Compare -86 and -49
  No swap needed
  Compare -49 and -91
  Swap -49 and -91
  List after swap: [-86, -91, -49, 2, 12, 28, 76, 89, 95]

Pass 8:
  Compare -86 and -91
  Swap -86 and -91
  List after swap: [-91, -86, -49, 2, 12, 28, 76, 89, 95]

Pass 9:
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -86, -49, 2, 12, 28, 76, 89, 95]
</think>

<response>-91, -86, -49, 2, 12, 28, 76, 89, 95</response>


input: Use the bubble sort technique to reorder 77, 18, 84, -60 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [77, 18, 84, -60]

Pass 1:
  Compare 77 and 18
  Swap 77 and 18
  List after swap: [18, 77, 84, -60]
  Compare 77 and 84
  No swap needed
  Compare 84 and -60
  Swap 84 and -60
  List after swap: [18, 77, -60, 84]

Pass 2:
  Compare 18 and 77
  No swap needed
  Compare 77 and -60
  Swap 77 and -60
  List after swap: [18, -60, 77, 84]

Pass 3:
  Compare 18 and -60
  Swap 18 and -60
  List after swap: [-60, 18, 77, 84]

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

Final sorted list: [-60, 18, 77, 84]
</think>

<response>-60, 18, 77, 84</response>


input: Implement bubble sort on -53, -78, -14, 91, 58, -11, 26 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-53, -78, -14, 91, 58, -11, 26]

Pass 1:
  Compare -53 and -78
  Swap -53 and -78
  List after swap: [-78, -53, -14, 91, 58, -11, 26]
  Compare -53 and -14
  No swap needed
  Compare -14 and 91
  No swap needed
  Compare 91 and 58
  Swap 91 and 58
  List after swap: [-78, -53, -14, 58, 91, -11, 26]
  Compare 91 and -11
  Swap 91 and -11
  List after swap: [-78, -53, -14, 58, -11, 91, 26]
  Compare 91 and 26
  Swap 91 and 26
  List after swap: [-78, -53, -14, 58, -11, 26, 91]

Pass 2:
  Compare -78 and -53
  No swap needed
  Compare -53 and -14
  No swap needed
  Compare -14 and 58
  No swap needed
  Compare 58 and -11
  Swap 58 and -11
  List after swap: [-78, -53, -14, -11, 58, 26, 91]
  Compare 58 and 26
  Swap 58 and 26
  List after swap: [-78, -53, -14, -11, 26, 58, 91]

Pass 3:
  Compare -78 and -53
  No swap needed
  Compare -53 and -14
  No swap needed
  Compare -14 and -11
  No swap needed
  Compare -11 and 26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -53, -14, -11, 26, 58, 91]
</think>

<response>-78, -53, -14, -11, 26, 58, 91</response>


input: Using the bubble sort method, sort 38, -58, 99, -27, 65 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [38, -58, 99, -27, 65]

Pass 1:
  Compare 38 and -58
  Swap 38 and -58
  List after swap: [-58, 38, 99, -27, 65]
  Compare 38 and 99
  No swap needed
  Compare 99 and -27
  Swap 99 and -27
  List after swap: [-58, 38, -27, 99, 65]
  Compare 99 and 65
  Swap 99 and 65
  List after swap: [-58, 38, -27, 65, 99]

Pass 2:
  Compare -58 and 38
  No swap needed
  Compare 38 and -27
  Swap 38 and -27
  List after swap: [-58, -27, 38, 65, 99]
  Compare 38 and 65
  No swap needed

Pass 3:
  Compare -58 and -27
  No swap needed
  Compare -27 and 38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -27, 38, 65, 99]
</think>

<response>-58, -27, 38, 65, 99</response>


input: Sort these integers 5, 38, 9, -51, -45, 84, 42, 20 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [5, 38, 9, -51, -45, 84, 42, 20]

Pass 1:
  Compare 5 and 38
  No swap needed
  Compare 38 and 9
  Swap 38 and 9
  List after swap: [5, 9, 38, -51, -45, 84, 42, 20]
  Compare 38 and -51
  Swap 38 and -51
  List after swap: [5, 9, -51, 38, -45, 84, 42, 20]
  Compare 38 and -45
  Swap 38 and -45
  List after swap: [5, 9, -51, -45, 38, 84, 42, 20]
  Compare 38 and 84
  No swap needed
  Compare 84 and 42
  Swap 84 and 42
  List after swap: [5, 9, -51, -45, 38, 42, 84, 20]
  Compare 84 and 20
  Swap 84 and 20
  List after swap: [5, 9, -51, -45, 38, 42, 20, 84]

Pass 2:
  Compare 5 and 9
  No swap needed
  Compare 9 and -51
  Swap 9 and -51
  List after swap: [5, -51, 9, -45, 38, 42, 20, 84]
  Compare 9 and -45
  Swap 9 and -45
  List after swap: [5, -51, -45, 9, 38, 42, 20, 84]
  Compare 9 and 38
  No swap needed
  Compare 38 and 42
  No swap needed
  Compare 42 and 20
  Swap 42 and 20
  List after swap: [5, -51, -45, 9, 38, 20, 42, 84]

Pass 3:
  Compare 5 and -51
  Swap 5 and -51
  List after swap: [-51, 5, -45, 9, 38, 20, 42, 84]
  Compare 5 and -45
  Swap 5 and -45
  List after swap: [-51, -45, 5, 9, 38, 20, 42, 84]
  Compare 5 and 9
  No swap needed
  Compare 9 and 38
  No swap needed
  Compare 38 and 20
  Swap 38 and 20
  List after swap: [-51, -45, 5, 9, 20, 38, 42, 84]

Pass 4:
  Compare -51 and -45
  No swap needed
  Compare -45 and 5
  No swap needed
  Compare 5 and 9
  No swap needed
  Compare 9 and 20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-51, -45, 5, 9, 20, 38, 42, 84]
</think>

<response>-51, -45, 5, 9, 20, 38, 42, 84</response>


input: Use the bubble sort technique to reorder 56, -71 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [56, -71]

Pass 1:
  Compare 56 and -71
  Swap 56 and -71
  List after swap: [-71, 56]

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

Final sorted list: [-71, 56]
</think>

<response>-71, 56</response>


input: Using the bubble sort method, sort -15, -96, 82 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-15, -96, 82]

Pass 1:
  Compare -15 and -96
  Swap -15 and -96
  List after swap: [-96, -15, 82]
  Compare -15 and 82
  No swap needed

Pass 2:
  Compare -96 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -15, 82]
</think>

<response>-96, -15, 82</response>


input: Carry out the bubble sort algorithm on 9, -96, -31, -76, 93, 74 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [9, -96, -31, -76, 93, 74]

Pass 1:
  Compare 9 and -96
  Swap 9 and -96
  List after swap: [-96, 9, -31, -76, 93, 74]
  Compare 9 and -31
  Swap 9 and -31
  List after swap: [-96, -31, 9, -76, 93, 74]
  Compare 9 and -76
  Swap 9 and -76
  List after swap: [-96, -31, -76, 9, 93, 74]
  Compare 9 and 93
  No swap needed
  Compare 93 and 74
  Swap 93 and 74
  List after swap: [-96, -31, -76, 9, 74, 93]

Pass 2:
  Compare -96 and -31
  No swap needed
  Compare -31 and -76
  Swap -31 and -76
  List after swap: [-96, -76, -31, 9, 74, 93]
  Compare -31 and 9
  No swap needed
  Compare 9 and 74
  No swap needed

Pass 3:
  Compare -96 and -76
  No swap needed
  Compare -76 and -31
  No swap needed
  Compare -31 and 9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -76, -31, 9, 74, 93]
</think>

<response>-96, -76, -31, 9, 74, 93</response>


input: Demonstrate how bubble sort orders the integers 41, 56, -60, 46, -16 in ascending sequence, showing all steps.

output:
<think>
Initial list: [41, 56, -60, 46, -16]

Pass 1:
  Compare 41 and 56
  No swap needed
  Compare 56 and -60
  Swap 56 and -60
  List after swap: [41, -60, 56, 46, -16]
  Compare 56 and 46
  Swap 56 and 46
  List after swap: [41, -60, 46, 56, -16]
  Compare 56 and -16
  Swap 56 and -16
  List after swap: [41, -60, 46, -16, 56]

Pass 2:
  Compare 41 and -60
  Swap 41 and -60
  List after swap: [-60, 41, 46, -16, 56]
  Compare 41 and 46
  No swap needed
  Compare 46 and -16
  Swap 46 and -16
  List after swap: [-60, 41, -16, 46, 56]

Pass 3:
  Compare -60 and 41
  No swap needed
  Compare 41 and -16
  Swap 41 and -16
  List after swap: [-60, -16, 41, 46, 56]

Pass 4:
  Compare -60 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -16, 41, 46, 56]
</think>

<response>-60, -16, 41, 46, 56</response>


input: Sort these integers -60, 77, 43, 98, -74, 96, -81 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-60, 77, 43, 98, -74, 96, -81]

Pass 1:
  Compare -60 and 77
  No swap needed
  Compare 77 and 43
  Swap 77 and 43
  List after swap: [-60, 43, 77, 98, -74, 96, -81]
  Compare 77 and 98
  No swap needed
  Compare 98 and -74
  Swap 98 and -74
  List after swap: [-60, 43, 77, -74, 98, 96, -81]
  Compare 98 and 96
  Swap 98 and 96
  List after swap: [-60, 43, 77, -74, 96, 98, -81]
  Compare 98 and -81
  Swap 98 and -81
  List after swap: [-60, 43, 77, -74, 96, -81, 98]

Pass 2:
  Compare -60 and 43
  No swap needed
  Compare 43 and 77
  No swap needed
  Compare 77 and -74
  Swap 77 and -74
  List after swap: [-60, 43, -74, 77, 96, -81, 98]
  Compare 77 and 96
  No swap needed
  Compare 96 and -81
  Swap 96 and -81
  List after swap: [-60, 43, -74, 77, -81, 96, 98]

Pass 3:
  Compare -60 and 43
  No swap needed
  Compare 43 and -74
  Swap 43 and -74
  List after swap: [-60, -74, 43, 77, -81, 96, 98]
  Compare 43 and 77
  No swap needed
  Compare 77 and -81
  Swap 77 and -81
  List after swap: [-60, -74, 43, -81, 77, 96, 98]

Pass 4:
  Compare -60 and -74
  Swap -60 and -74
  List after swap: [-74, -60, 43, -81, 77, 96, 98]
  Compare -60 and 43
  No swap needed
  Compare 43 and -81
  Swap 43 and -81
  List after swap: [-74, -60, -81, 43, 77, 96, 98]

Pass 5:
  Compare -74 and -60
  No swap needed
  Compare -60 and -81
  Swap -60 and -81
  List after swap: [-74, -81, -60, 43, 77, 96, 98]

Pass 6:
  Compare -74 and -81
  Swap -74 and -81
  List after swap: [-81, -74, -60, 43, 77, 96, 98]

Pass 7:
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -74, -60, 43, 77, 96, 98]
</think>

<response>-81, -74, -60, 43, 77, 96, 98</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 55, 66, -71, -15, -67, -41.

output:
<think>
Initial list: [55, 66, -71, -15, -67, -41]

Pass 1:
  Compare 55 and 66
  No swap needed
  Compare 66 and -71
  Swap 66 and -71
  List after swap: [55, -71, 66, -15, -67, -41]
  Compare 66 and -15
  Swap 66 and -15
  List after swap: [55, -71, -15, 66, -67, -41]
  Compare 66 and -67
  Swap 66 and -67
  List after swap: [55, -71, -15, -67, 66, -41]
  Compare 66 and -41
  Swap 66 and -41
  List after swap: [55, -71, -15, -67, -41, 66]

Pass 2:
  Compare 55 and -71
  Swap 55 and -71
  List after swap: [-71, 55, -15, -67, -41, 66]
  Compare 55 and -15
  Swap 55 and -15
  List after swap: [-71, -15, 55, -67, -41, 66]
  Compare 55 and -67
  Swap 55 and -67
  List after swap: [-71, -15, -67, 55, -41, 66]
  Compare 55 and -41
  Swap 55 and -41
  List after swap: [-71, -15, -67, -41, 55, 66]

Pass 3:
  Compare -71 and -15
  No swap needed
  Compare -15 and -67
  Swap -15 and -67
  List after swap: [-71, -67, -15, -41, 55, 66]
  Compare -15 and -41
  Swap -15 and -41
  List after swap: [-71, -67, -41, -15, 55, 66]

Pass 4:
  Compare -71 and -67
  No swap needed
  Compare -67 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -67, -41, -15, 55, 66]
</think>

<response>-71, -67, -41, -15, 55, 66</response>


input: Demonstrate how bubble sort orders the integers 66, -17 in ascending sequence, showing all steps.

output:
<think>
Initial list: [66, -17]

Pass 1:
  Compare 66 and -17
  Swap 66 and -17
  List after swap: [-17, 66]

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

Final sorted list: [-17, 66]
</think>

<response>-17, 66</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -83, -60, 79.

output:
<think>
Initial list: [-83, -60, 79]

Pass 1:
  Compare -83 and -60
  No swap needed
  Compare -60 and 79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -60, 79]
</think>

<response>-83, -60, 79</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -60, 89, -9, 41, -28, 98, 77, -92, 34, -39.

output:
<think>
Initial list: [-60, 89, -9, 41, -28, 98, 77, -92, 34, -39]

Pass 1:
  Compare -60 and 89
  No swap needed
  Compare 89 and -9
  Swap 89 and -9
  List after swap: [-60, -9, 89, 41, -28, 98, 77, -92, 34, -39]
  Compare 89 and 41
  Swap 89 and 41
  List after swap: [-60, -9, 41, 89, -28, 98, 77, -92, 34, -39]
  Compare 89 and -28
  Swap 89 and -28
  List after swap: [-60, -9, 41, -28, 89, 98, 77, -92, 34, -39]
  Compare 89 and 98
  No swap needed
  Compare 98 and 77
  Swap 98 and 77
  List after swap: [-60, -9, 41, -28, 89, 77, 98, -92, 34, -39]
  Compare 98 and -92
  Swap 98 and -92
  List after swap: [-60, -9, 41, -28, 89, 77, -92, 98, 34, -39]
  Compare 98 and 34
  Swap 98 and 34
  List after swap: [-60, -9, 41, -28, 89, 77, -92, 34, 98, -39]
  Compare 98 and -39
  Swap 98 and -39
  List after swap: [-60, -9, 41, -28, 89, 77, -92, 34, -39, 98]

Pass 2:
  Compare -60 and -9
  No swap needed
  Compare -9 and 41
  No swap needed
  Compare 41 and -28
  Swap 41 and -28
  List after swap: [-60, -9, -28, 41, 89, 77, -92, 34, -39, 98]
  Compare 41 and 89
  No swap needed
  Compare 89 and 77
  Swap 89 and 77
  List after swap: [-60, -9, -28, 41, 77, 89, -92, 34, -39, 98]
  Compare 89 and -92
  Swap 89 and -92
  List after swap: [-60, -9, -28, 41, 77, -92, 89, 34, -39, 98]
  Compare 89 and 34
  Swap 89 and 34
  List after swap: [-60, -9, -28, 41, 77, -92, 34, 89, -39, 98]
  Compare 89 and -39
  Swap 89 and -39
  List after swap: [-60, -9, -28, 41, 77, -92, 34, -39, 89, 98]

Pass 3:
  Compare -60 and -9
  No swap needed
  Compare -9 and -28
  Swap -9 and -28
  List after swap: [-60, -28, -9, 41, 77, -92, 34, -39, 89, 98]
  Compare -9 and 41
  No swap needed
  Compare 41 and 77
  No swap needed
  Compare 77 and -92
  Swap 77 and -92
  List after swap: [-60, -28, -9, 41, -92, 77, 34, -39, 89, 98]
  Compare 77 and 34
  Swap 77 and 34
  List after swap: [-60, -28, -9, 41, -92, 34, 77, -39, 89, 98]
  Compare 77 and -39
  Swap 77 and -39
  List after swap: [-60, -28, -9, 41, -92, 34, -39, 77, 89, 98]

Pass 4:
  Compare -60 and -28
  No swap needed
  Compare -28 and -9
  No swap needed
  Compare -9 and 41
  No swap needed
  Compare 41 and -92
  Swap 41 and -92
  List after swap: [-60, -28, -9, -92, 41, 34, -39, 77, 89, 98]
  Compare 41 and 34
  Swap 41 and 34
  List after swap: [-60, -28, -9, -92, 34, 41, -39, 77, 89, 98]
  Compare 41 and -39
  Swap 41 and -39
  List after swap: [-60, -28, -9, -92, 34, -39, 41, 77, 89, 98]

Pass 5:
  Compare -60 and -28
  No swap needed
  Compare -28 and -9
  No swap needed
  Compare -9 and -92
  Swap -9 and -92
  List after swap: [-60, -28, -92, -9, 34, -39, 41, 77, 89, 98]
  Compare -9 and 34
  No swap needed
  Compare 34 and -39
  Swap 34 and -39
  List after swap: [-60, -28, -92, -9, -39, 34, 41, 77, 89, 98]

Pass 6:
  Compare -60 and -28
  No swap needed
  Compare -28 and -92
  Swap -28 and -92
  List after swap: [-60, -92, -28, -9, -39, 34, 41, 77, 89, 98]
  Compare -28 and -9
  No swap needed
  Compare -9 and -39
  Swap -9 and -39
  List after swap: [-60, -92, -28, -39, -9, 34, 41, 77, 89, 98]

Pass 7:
  Compare -60 and -92
  Swap -60 and -92
  List after swap: [-92, -60, -28, -39, -9, 34, 41, 77, 89, 98]
  Compare -60 and -28
  No swap needed
  Compare -28 and -39
  Swap -28 and -39
  List after swap: [-92, -60, -39, -28, -9, 34, 41, 77, 89, 98]

Pass 8:
  Compare -92 and -60
  No swap needed
  Compare -60 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -60, -39, -28, -9, 34, 41, 77, 89, 98]
</think>

<response>-92, -60, -39, -28, -9, 34, 41, 77, 89, 98</response>


input: Arrange the numbers -16, 17, 98, -88, 14, -26, -44, -31, 16, -91 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-16, 17, 98, -88, 14, -26, -44, -31, 16, -91]

Pass 1:
  Compare -16 and 17
  No swap needed
  Compare 17 and 98
  No swap needed
  Compare 98 and -88
  Swap 98 and -88
  List after swap: [-16, 17, -88, 98, 14, -26, -44, -31, 16, -91]
  Compare 98 and 14
  Swap 98 and 14
  List after swap: [-16, 17, -88, 14, 98, -26, -44, -31, 16, -91]
  Compare 98 and -26
  Swap 98 and -26
  List after swap: [-16, 17, -88, 14, -26, 98, -44, -31, 16, -91]
  Compare 98 and -44
  Swap 98 and -44
  List after swap: [-16, 17, -88, 14, -26, -44, 98, -31, 16, -91]
  Compare 98 and -31
  Swap 98 and -31
  List after swap: [-16, 17, -88, 14, -26, -44, -31, 98, 16, -91]
  Compare 98 and 16
  Swap 98 and 16
  List after swap: [-16, 17, -88, 14, -26, -44, -31, 16, 98, -91]
  Compare 98 and -91
  Swap 98 and -91
  List after swap: [-16, 17, -88, 14, -26, -44, -31, 16, -91, 98]

Pass 2:
  Compare -16 and 17
  No swap needed
  Compare 17 and -88
  Swap 17 and -88
  List after swap: [-16, -88, 17, 14, -26, -44, -31, 16, -91, 98]
  Compare 17 and 14
  Swap 17 and 14
  List after swap: [-16, -88, 14, 17, -26, -44, -31, 16, -91, 98]
  Compare 17 and -26
  Swap 17 and -26
  List after swap: [-16, -88, 14, -26, 17, -44, -31, 16, -91, 98]
  Compare 17 and -44
  Swap 17 and -44
  List after swap: [-16, -88, 14, -26, -44, 17, -31, 16, -91, 98]
  Compare 17 and -31
  Swap 17 and -31
  List after swap: [-16, -88, 14, -26, -44, -31, 17, 16, -91, 98]
  Compare 17 and 16
  Swap 17 and 16
  List after swap: [-16, -88, 14, -26, -44, -31, 16, 17, -91, 98]
  Compare 17 and -91
  Swap 17 and -91
  List after swap: [-16, -88, 14, -26, -44, -31, 16, -91, 17, 98]

Pass 3:
  Compare -16 and -88
  Swap -16 and -88
  List after swap: [-88, -16, 14, -26, -44, -31, 16, -91, 17, 98]
  Compare -16 and 14
  No swap needed
  Compare 14 and -26
  Swap 14 and -26
  List after swap: [-88, -16, -26, 14, -44, -31, 16, -91, 17, 98]
  Compare 14 and -44
  Swap 14 and -44
  List after swap: [-88, -16, -26, -44, 14, -31, 16, -91, 17, 98]
  Compare 14 and -31
  Swap 14 and -31
  List after swap: [-88, -16, -26, -44, -31, 14, 16, -91, 17, 98]
  Compare 14 and 16
  No swap needed
  Compare 16 and -91
  Swap 16 and -91
  List after swap: [-88, -16, -26, -44, -31, 14, -91, 16, 17, 98]

Pass 4:
  Compare -88 and -16
  No swap needed
  Compare -16 and -26
  Swap -16 and -26
  List after swap: [-88, -26, -16, -44, -31, 14, -91, 16, 17, 98]
  Compare -16 and -44
  Swap -16 and -44
  List after swap: [-88, -26, -44, -16, -31, 14, -91, 16, 17, 98]
  Compare -16 and -31
  Swap -16 and -31
  List after swap: [-88, -26, -44, -31, -16, 14, -91, 16, 17, 98]
  Compare -16 and 14
  No swap needed
  Compare 14 and -91
  Swap 14 and -91
  List after swap: [-88, -26, -44, -31, -16, -91, 14, 16, 17, 98]

Pass 5:
  Compare -88 and -26
  No swap needed
  Compare -26 and -44
  Swap -26 and -44
  List after swap: [-88, -44, -26, -31, -16, -91, 14, 16, 17, 98]
  Compare -26 and -31
  Swap -26 and -31
  List after swap: [-88, -44, -31, -26, -16, -91, 14, 16, 17, 98]
  Compare -26 and -16
  No swap needed
  Compare -16 and -91
  Swap -16 and -91
  List after swap: [-88, -44, -31, -26, -91, -16, 14, 16, 17, 98]

Pass 6:
  Compare -88 and -44
  No swap needed
  Compare -44 and -31
  No swap needed
  Compare -31 and -26
  No swap needed
  Compare -26 and -91
  Swap -26 and -91
  List after swap: [-88, -44, -31, -91, -26, -16, 14, 16, 17, 98]

Pass 7:
  Compare -88 and -44
  No swap needed
  Compare -44 and -31
  No swap needed
  Compare -31 and -91
  Swap -31 and -91
  List after swap: [-88, -44, -91, -31, -26, -16, 14, 16, 17, 98]

Pass 8:
  Compare -88 and -44
  No swap needed
  Compare -44 and -91
  Swap -44 and -91
  List after swap: [-88, -91, -44, -31, -26, -16, 14, 16, 17, 98]

Pass 9:
  Compare -88 and -91
  Swap -88 and -91
  List after swap: [-91, -88, -44, -31, -26, -16, 14, 16, 17, 98]

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

Final sorted list: [-91, -88, -44, -31, -26, -16, 14, 16, 17, 98]
</think>

<response>-91, -88, -44, -31, -26, -16, 14, 16, 17, 98</response>


input: Implement bubble sort on -50, 35, 61 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-50, 35, 61]

Pass 1:
  Compare -50 and 35
  No swap needed
  Compare 35 and 61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, 35, 61]
</think>

<response>-50, 35, 61</response>


input: Implement bubble sort on -81, 26, -14, 28, 37, -10, -34, 64, -45, 34 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-81, 26, -14, 28, 37, -10, -34, 64, -45, 34]

Pass 1:
  Compare -81 and 26
  No swap needed
  Compare 26 and -14
  Swap 26 and -14
  List after swap: [-81, -14, 26, 28, 37, -10, -34, 64, -45, 34]
  Compare 26 and 28
  No swap needed
  Compare 28 and 37
  No swap needed
  Compare 37 and -10
  Swap 37 and -10
  List after swap: [-81, -14, 26, 28, -10, 37, -34, 64, -45, 34]
  Compare 37 and -34
  Swap 37 and -34
  List after swap: [-81, -14, 26, 28, -10, -34, 37, 64, -45, 34]
  Compare 37 and 64
  No swap needed
  Compare 64 and -45
  Swap 64 and -45
  List after swap: [-81, -14, 26, 28, -10, -34, 37, -45, 64, 34]
  Compare 64 and 34
  Swap 64 and 34
  List after swap: [-81, -14, 26, 28, -10, -34, 37, -45, 34, 64]

Pass 2:
  Compare -81 and -14
  No swap needed
  Compare -14 and 26
  No swap needed
  Compare 26 and 28
  No swap needed
  Compare 28 and -10
  Swap 28 and -10
  List after swap: [-81, -14, 26, -10, 28, -34, 37, -45, 34, 64]
  Compare 28 and -34
  Swap 28 and -34
  List after swap: [-81, -14, 26, -10, -34, 28, 37, -45, 34, 64]
  Compare 28 and 37
  No swap needed
  Compare 37 and -45
  Swap 37 and -45
  List after swap: [-81, -14, 26, -10, -34, 28, -45, 37, 34, 64]
  Compare 37 and 34
  Swap 37 and 34
  List after swap: [-81, -14, 26, -10, -34, 28, -45, 34, 37, 64]

Pass 3:
  Compare -81 and -14
  No swap needed
  Compare -14 and 26
  No swap needed
  Compare 26 and -10
  Swap 26 and -10
  List after swap: [-81, -14, -10, 26, -34, 28, -45, 34, 37, 64]
  Compare 26 and -34
  Swap 26 and -34
  List after swap: [-81, -14, -10, -34, 26, 28, -45, 34, 37, 64]
  Compare 26 and 28
  No swap needed
  Compare 28 and -45
  Swap 28 and -45
  List after swap: [-81, -14, -10, -34, 26, -45, 28, 34, 37, 64]
  Compare 28 and 34
  No swap needed

Pass 4:
  Compare -81 and -14
  No swap needed
  Compare -14 and -10
  No swap needed
  Compare -10 and -34
  Swap -10 and -34
  List after swap: [-81, -14, -34, -10, 26, -45, 28, 34, 37, 64]
  Compare -10 and 26
  No swap needed
  Compare 26 and -45
  Swap 26 and -45
  List after swap: [-81, -14, -34, -10, -45, 26, 28, 34, 37, 64]
  Compare 26 and 28
  No swap needed

Pass 5:
  Compare -81 and -14
  No swap needed
  Compare -14 and -34
  Swap -14 and -34
  List after swap: [-81, -34, -14, -10, -45, 26, 28, 34, 37, 64]
  Compare -14 and -10
  No swap needed
  Compare -10 and -45
  Swap -10 and -45
  List after swap: [-81, -34, -14, -45, -10, 26, 28, 34, 37, 64]
  Compare -10 and 26
  No swap needed

Pass 6:
  Compare -81 and -34
  No swap needed
  Compare -34 and -14
  No swap needed
  Compare -14 and -45
  Swap -14 and -45
  List after swap: [-81, -34, -45, -14, -10, 26, 28, 34, 37, 64]
  Compare -14 and -10
  No swap needed

Pass 7:
  Compare -81 and -34
  No swap needed
  Compare -34 and -45
  Swap -34 and -45
  List after swap: [-81, -45, -34, -14, -10, 26, 28, 34, 37, 64]
  Compare -34 and -14
  No swap needed

Pass 8:
  Compare -81 and -45
  No swap needed
  Compare -45 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -45, -34, -14, -10, 26, 28, 34, 37, 64]
</think>

<response>-81, -45, -34, -14, -10, 26, 28, 34, 37, 64</response>


input: Using the bubble sort method, sort 71, 18, -56, 67 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [71, 18, -56, 67]

Pass 1:
  Compare 71 and 18
  Swap 71 and 18
  List after swap: [18, 71, -56, 67]
  Compare 71 and -56
  Swap 71 and -56
  List after swap: [18, -56, 71, 67]
  Compare 71 and 67
  Swap 71 and 67
  List after swap: [18, -56, 67, 71]

Pass 2:
  Compare 18 and -56
  Swap 18 and -56
  List after swap: [-56, 18, 67, 71]
  Compare 18 and 67
  No swap needed

Pass 3:
  Compare -56 and 18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, 18, 67, 71]
</think>

<response>-56, 18, 67, 71</response>


input: Implement bubble sort on -7, 49, 22, 90, 7, 2, 52, -32, 47 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-7, 49, 22, 90, 7, 2, 52, -32, 47]

Pass 1:
  Compare -7 and 49
  No swap needed
  Compare 49 and 22
  Swap 49 and 22
  List after swap: [-7, 22, 49, 90, 7, 2, 52, -32, 47]
  Compare 49 and 90
  No swap needed
  Compare 90 and 7
  Swap 90 and 7
  List after swap: [-7, 22, 49, 7, 90, 2, 52, -32, 47]
  Compare 90 and 2
  Swap 90 and 2
  List after swap: [-7, 22, 49, 7, 2, 90, 52, -32, 47]
  Compare 90 and 52
  Swap 90 and 52
  List after swap: [-7, 22, 49, 7, 2, 52, 90, -32, 47]
  Compare 90 and -32
  Swap 90 and -32
  List after swap: [-7, 22, 49, 7, 2, 52, -32, 90, 47]
  Compare 90 and 47
  Swap 90 and 47
  List after swap: [-7, 22, 49, 7, 2, 52, -32, 47, 90]

Pass 2:
  Compare -7 and 22
  No swap needed
  Compare 22 and 49
  No swap needed
  Compare 49 and 7
  Swap 49 and 7
  List after swap: [-7, 22, 7, 49, 2, 52, -32, 47, 90]
  Compare 49 and 2
  Swap 49 and 2
  List after swap: [-7, 22, 7, 2, 49, 52, -32, 47, 90]
  Compare 49 and 52
  No swap needed
  Compare 52 and -32
  Swap 52 and -32
  List after swap: [-7, 22, 7, 2, 49, -32, 52, 47, 90]
  Compare 52 and 47
  Swap 52 and 47
  List after swap: [-7, 22, 7, 2, 49, -32, 47, 52, 90]

Pass 3:
  Compare -7 and 22
  No swap needed
  Compare 22 and 7
  Swap 22 and 7
  List after swap: [-7, 7, 22, 2, 49, -32, 47, 52, 90]
  Compare 22 and 2
  Swap 22 and 2
  List after swap: [-7, 7, 2, 22, 49, -32, 47, 52, 90]
  Compare 22 and 49
  No swap needed
  Compare 49 and -32
  Swap 49 and -32
  List after swap: [-7, 7, 2, 22, -32, 49, 47, 52, 90]
  Compare 49 and 47
  Swap 49 and 47
  List after swap: [-7, 7, 2, 22, -32, 47, 49, 52, 90]

Pass 4:
  Compare -7 and 7
  No swap needed
  Compare 7 and 2
  Swap 7 and 2
  List after swap: [-7, 2, 7, 22, -32, 47, 49, 52, 90]
  Compare 7 and 22
  No swap needed
  Compare 22 and -32
  Swap 22 and -32
  List after swap: [-7, 2, 7, -32, 22, 47, 49, 52, 90]
  Compare 22 and 47
  No swap needed

Pass 5:
  Compare -7 and 2
  No swap needed
  Compare 2 and 7
  No swap needed
  Compare 7 and -32
  Swap 7 and -32
  List after swap: [-7, 2, -32, 7, 22, 47, 49, 52, 90]
  Compare 7 and 22
  No swap needed

Pass 6:
  Compare -7 and 2
  No swap needed
  Compare 2 and -32
  Swap 2 and -32
  List after swap: [-7, -32, 2, 7, 22, 47, 49, 52, 90]
  Compare 2 and 7
  No swap needed

Pass 7:
  Compare -7 and -32
  Swap -7 and -32
  List after swap: [-32, -7, 2, 7, 22, 47, 49, 52, 90]
  Compare -7 and 2
  No swap needed

Pass 8:
  Compare -32 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-32, -7, 2, 7, 22, 47, 49, 52, 90]
</think>

<response>-32, -7, 2, 7, 22, 47, 49, 52, 90</response>


input: Use the bubble sort technique to reorder 1, 44, -74, -44, -32, 12, -99, -73, -18 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [1, 44, -74, -44, -32, 12, -99, -73, -18]

Pass 1:
  Compare 1 and 44
  No swap needed
  Compare 44 and -74
  Swap 44 and -74
  List after swap: [1, -74, 44, -44, -32, 12, -99, -73, -18]
  Compare 44 and -44
  Swap 44 and -44
  List after swap: [1, -74, -44, 44, -32, 12, -99, -73, -18]
  Compare 44 and -32
  Swap 44 and -32
  List after swap: [1, -74, -44, -32, 44, 12, -99, -73, -18]
  Compare 44 and 12
  Swap 44 and 12
  List after swap: [1, -74, -44, -32, 12, 44, -99, -73, -18]
  Compare 44 and -99
  Swap 44 and -99
  List after swap: [1, -74, -44, -32, 12, -99, 44, -73, -18]
  Compare 44 and -73
  Swap 44 and -73
  List after swap: [1, -74, -44, -32, 12, -99, -73, 44, -18]
  Compare 44 and -18
  Swap 44 and -18
  List after swap: [1, -74, -44, -32, 12, -99, -73, -18, 44]

Pass 2:
  Compare 1 and -74
  Swap 1 and -74
  List after swap: [-74, 1, -44, -32, 12, -99, -73, -18, 44]
  Compare 1 and -44
  Swap 1 and -44
  List after swap: [-74, -44, 1, -32, 12, -99, -73, -18, 44]
  Compare 1 and -32
  Swap 1 and -32
  List after swap: [-74, -44, -32, 1, 12, -99, -73, -18, 44]
  Compare 1 and 12
  No swap needed
  Compare 12 and -99
  Swap 12 and -99
  List after swap: [-74, -44, -32, 1, -99, 12, -73, -18, 44]
  Compare 12 and -73
  Swap 12 and -73
  List after swap: [-74, -44, -32, 1, -99, -73, 12, -18, 44]
  Compare 12 and -18
  Swap 12 and -18
  List after swap: [-74, -44, -32, 1, -99, -73, -18, 12, 44]

Pass 3:
  Compare -74 and -44
  No swap needed
  Compare -44 and -32
  No swap needed
  Compare -32 and 1
  No swap needed
  Compare 1 and -99
  Swap 1 and -99
  List after swap: [-74, -44, -32, -99, 1, -73, -18, 12, 44]
  Compare 1 and -73
  Swap 1 and -73
  List after swap: [-74, -44, -32, -99, -73, 1, -18, 12, 44]
  Compare 1 and -18
  Swap 1 and -18
  List after swap: [-74, -44, -32, -99, -73, -18, 1, 12, 44]

Pass 4:
  Compare -74 and -44
  No swap needed
  Compare -44 and -32
  No swap needed
  Compare -32 and -99
  Swap -32 and -99
  List after swap: [-74, -44, -99, -32, -73, -18, 1, 12, 44]
  Compare -32 and -73
  Swap -32 and -73
  List after swap: [-74, -44, -99, -73, -32, -18, 1, 12, 44]
  Compare -32 and -18
  No swap needed

Pass 5:
  Compare -74 and -44
  No swap needed
  Compare -44 and -99
  Swap -44 and -99
  List after swap: [-74, -99, -44, -73, -32, -18, 1, 12, 44]
  Compare -44 and -73
  Swap -44 and -73
  List after swap: [-74, -99, -73, -44, -32, -18, 1, 12, 44]
  Compare -44 and -32
  No swap needed

Pass 6:
  Compare -74 and -99
  Swap -74 and -99
  List after swap: [-99, -74, -73, -44, -32, -18, 1, 12, 44]
  Compare -74 and -73
  No swap needed
  Compare -73 and -44
  No swap needed

Pass 7:
  Compare -99 and -74
  No swap needed
  Compare -74 and -73
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -74, -73, -44, -32, -18, 1, 12, 44]
</think>

<response>-99, -74, -73, -44, -32, -18, 1, 12, 44</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -36, -47.

output:
<think>
Initial list: [-36, -47]

Pass 1:
  Compare -36 and -47
  Swap -36 and -47
  List after swap: [-47, -36]

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

Final sorted list: [-47, -36]
</think>

<response>-47, -36</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -48, -22, -27, -93, -16, -3, 78, -31, 10.

output:
<think>
Initial list: [-48, -22, -27, -93, -16, -3, 78, -31, 10]

Pass 1:
  Compare -48 and -22
  No swap needed
  Compare -22 and -27
  Swap -22 and -27
  List after swap: [-48, -27, -22, -93, -16, -3, 78, -31, 10]
  Compare -22 and -93
  Swap -22 and -93
  List after swap: [-48, -27, -93, -22, -16, -3, 78, -31, 10]
  Compare -22 and -16
  No swap needed
  Compare -16 and -3
  No swap needed
  Compare -3 and 78
  No swap needed
  Compare 78 and -31
  Swap 78 and -31
  List after swap: [-48, -27, -93, -22, -16, -3, -31, 78, 10]
  Compare 78 and 10
  Swap 78 and 10
  List after swap: [-48, -27, -93, -22, -16, -3, -31, 10, 78]

Pass 2:
  Compare -48 and -27
  No swap needed
  Compare -27 and -93
  Swap -27 and -93
  List after swap: [-48, -93, -27, -22, -16, -3, -31, 10, 78]
  Compare -27 and -22
  No swap needed
  Compare -22 and -16
  No swap needed
  Compare -16 and -3
  No swap needed
  Compare -3 and -31
  Swap -3 and -31
  List after swap: [-48, -93, -27, -22, -16, -31, -3, 10, 78]
  Compare -3 and 10
  No swap needed

Pass 3:
  Compare -48 and -93
  Swap -48 and -93
  List after swap: [-93, -48, -27, -22, -16, -31, -3, 10, 78]
  Compare -48 and -27
  No swap needed
  Compare -27 and -22
  No swap needed
  Compare -22 and -16
  No swap needed
  Compare -16 and -31
  Swap -16 and -31
  List after swap: [-93, -48, -27, -22, -31, -16, -3, 10, 78]
  Compare -16 and -3
  No swap needed

Pass 4:
  Compare -93 and -48
  No swap needed
  Compare -48 and -27
  No swap needed
  Compare -27 and -22
  No swap needed
  Compare -22 and -31
  Swap -22 and -31
  List after swap: [-93, -48, -27, -31, -22, -16, -3, 10, 78]
  Compare -22 and -16
  No swap needed

Pass 5:
  Compare -93 and -48
  No swap needed
  Compare -48 and -27
  No swap needed
  Compare -27 and -31
  Swap -27 and -31
  List after swap: [-93, -48, -31, -27, -22, -16, -3, 10, 78]
  Compare -27 and -22
  No swap needed

Pass 6:
  Compare -93 and -48
  No swap needed
  Compare -48 and -31
  No swap needed
  Compare -31 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -48, -31, -27, -22, -16, -3, 10, 78]
</think>

<response>-93, -48, -31, -27, -22, -16, -3, 10, 78</response>


input: Arrange the numbers -3, -94, 77, 55, 78 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-3, -94, 77, 55, 78]

Pass 1:
  Compare -3 and -94
  Swap -3 and -94
  List after swap: [-94, -3, 77, 55, 78]
  Compare -3 and 77
  No swap needed
  Compare 77 and 55
  Swap 77 and 55
  List after swap: [-94, -3, 55, 77, 78]
  Compare 77 and 78
  No swap needed

Pass 2:
  Compare -94 and -3
  No swap needed
  Compare -3 and 55
  No swap needed
  Compare 55 and 77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -3, 55, 77, 78]
</think>

<response>-94, -3, 55, 77, 78</response>


input: Implement bubble sort on 4, 23, 51, -31, -71, -29, -14, 97 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [4, 23, 51, -31, -71, -29, -14, 97]

Pass 1:
  Compare 4 and 23
  No swap needed
  Compare 23 and 51
  No swap needed
  Compare 51 and -31
  Swap 51 and -31
  List after swap: [4, 23, -31, 51, -71, -29, -14, 97]
  Compare 51 and -71
  Swap 51 and -71
  List after swap: [4, 23, -31, -71, 51, -29, -14, 97]
  Compare 51 and -29
  Swap 51 and -29
  List after swap: [4, 23, -31, -71, -29, 51, -14, 97]
  Compare 51 and -14
  Swap 51 and -14
  List after swap: [4, 23, -31, -71, -29, -14, 51, 97]
  Compare 51 and 97
  No swap needed

Pass 2:
  Compare 4 and 23
  No swap needed
  Compare 23 and -31
  Swap 23 and -31
  List after swap: [4, -31, 23, -71, -29, -14, 51, 97]
  Compare 23 and -71
  Swap 23 and -71
  List after swap: [4, -31, -71, 23, -29, -14, 51, 97]
  Compare 23 and -29
  Swap 23 and -29
  List after swap: [4, -31, -71, -29, 23, -14, 51, 97]
  Compare 23 and -14
  Swap 23 and -14
  List after swap: [4, -31, -71, -29, -14, 23, 51, 97]
  Compare 23 and 51
  No swap needed

Pass 3:
  Compare 4 and -31
  Swap 4 and -31
  List after swap: [-31, 4, -71, -29, -14, 23, 51, 97]
  Compare 4 and -71
  Swap 4 and -71
  List after swap: [-31, -71, 4, -29, -14, 23, 51, 97]
  Compare 4 and -29
  Swap 4 and -29
  List after swap: [-31, -71, -29, 4, -14, 23, 51, 97]
  Compare 4 and -14
  Swap 4 and -14
  List after swap: [-31, -71, -29, -14, 4, 23, 51, 97]
  Compare 4 and 23
  No swap needed

Pass 4:
  Compare -31 and -71
  Swap -31 and -71
  List after swap: [-71, -31, -29, -14, 4, 23, 51, 97]
  Compare -31 and -29
  No swap needed
  Compare -29 and -14
  No swap needed
  Compare -14 and 4
  No swap needed

Pass 5:
  Compare -71 and -31
  No swap needed
  Compare -31 and -29
  No swap needed
  Compare -29 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -31, -29, -14, 4, 23, 51, 97]
</think>

<response>-71, -31, -29, -14, 4, 23, 51, 97</response>


input: Arrange the numbers 67, 52, 0 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [67, 52, 0]

Pass 1:
  Compare 67 and 52
  Swap 67 and 52
  List after swap: [52, 67, 0]
  Compare 67 and 0
  Swap 67 and 0
  List after swap: [52, 0, 67]

Pass 2:
  Compare 52 and 0
  Swap 52 and 0
  List after swap: [0, 52, 67]

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

Final sorted list: [0, 52, 67]
</think>

<response>0, 52, 67</response>


input: Carry out the bubble sort algorithm on 84, -78, 51, -39, 3, -49, -66, 79, -65, 58 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [84, -78, 51, -39, 3, -49, -66, 79, -65, 58]

Pass 1:
  Compare 84 and -78
  Swap 84 and -78
  List after swap: [-78, 84, 51, -39, 3, -49, -66, 79, -65, 58]
  Compare 84 and 51
  Swap 84 and 51
  List after swap: [-78, 51, 84, -39, 3, -49, -66, 79, -65, 58]
  Compare 84 and -39
  Swap 84 and -39
  List after swap: [-78, 51, -39, 84, 3, -49, -66, 79, -65, 58]
  Compare 84 and 3
  Swap 84 and 3
  List after swap: [-78, 51, -39, 3, 84, -49, -66, 79, -65, 58]
  Compare 84 and -49
  Swap 84 and -49
  List after swap: [-78, 51, -39, 3, -49, 84, -66, 79, -65, 58]
  Compare 84 and -66
  Swap 84 and -66
  List after swap: [-78, 51, -39, 3, -49, -66, 84, 79, -65, 58]
  Compare 84 and 79
  Swap 84 and 79
  List after swap: [-78, 51, -39, 3, -49, -66, 79, 84, -65, 58]
  Compare 84 and -65
  Swap 84 and -65
  List after swap: [-78, 51, -39, 3, -49, -66, 79, -65, 84, 58]
  Compare 84 and 58
  Swap 84 and 58
  List after swap: [-78, 51, -39, 3, -49, -66, 79, -65, 58, 84]

Pass 2:
  Compare -78 and 51
  No swap needed
  Compare 51 and -39
  Swap 51 and -39
  List after swap: [-78, -39, 51, 3, -49, -66, 79, -65, 58, 84]
  Compare 51 and 3
  Swap 51 and 3
  List after swap: [-78, -39, 3, 51, -49, -66, 79, -65, 58, 84]
  Compare 51 and -49
  Swap 51 and -49
  List after swap: [-78, -39, 3, -49, 51, -66, 79, -65, 58, 84]
  Compare 51 and -66
  Swap 51 and -66
  List after swap: [-78, -39, 3, -49, -66, 51, 79, -65, 58, 84]
  Compare 51 and 79
  No swap needed
  Compare 79 and -65
  Swap 79 and -65
  List after swap: [-78, -39, 3, -49, -66, 51, -65, 79, 58, 84]
  Compare 79 and 58
  Swap 79 and 58
  List after swap: [-78, -39, 3, -49, -66, 51, -65, 58, 79, 84]

Pass 3:
  Compare -78 and -39
  No swap needed
  Compare -39 and 3
  No swap needed
  Compare 3 and -49
  Swap 3 and -49
  List after swap: [-78, -39, -49, 3, -66, 51, -65, 58, 79, 84]
  Compare 3 and -66
  Swap 3 and -66
  List after swap: [-78, -39, -49, -66, 3, 51, -65, 58, 79, 84]
  Compare 3 and 51
  No swap needed
  Compare 51 and -65
  Swap 51 and -65
  List after swap: [-78, -39, -49, -66, 3, -65, 51, 58, 79, 84]
  Compare 51 and 58
  No swap needed

Pass 4:
  Compare -78 and -39
  No swap needed
  Compare -39 and -49
  Swap -39 and -49
  List after swap: [-78, -49, -39, -66, 3, -65, 51, 58, 79, 84]
  Compare -39 and -66
  Swap -39 and -66
  List after swap: [-78, -49, -66, -39, 3, -65, 51, 58, 79, 84]
  Compare -39 and 3
  No swap needed
  Compare 3 and -65
  Swap 3 and -65
  List after swap: [-78, -49, -66, -39, -65, 3, 51, 58, 79, 84]
  Compare 3 and 51
  No swap needed

Pass 5:
  Compare -78 and -49
  No swap needed
  Compare -49 and -66
  Swap -49 and -66
  List after swap: [-78, -66, -49, -39, -65, 3, 51, 58, 79, 84]
  Compare -49 and -39
  No swap needed
  Compare -39 and -65
  Swap -39 and -65
  List after swap: [-78, -66, -49, -65, -39, 3, 51, 58, 79, 84]
  Compare -39 and 3
  No swap needed

Pass 6:
  Compare -78 and -66
  No swap needed
  Compare -66 and -49
  No swap needed
  Compare -49 and -65
  Swap -49 and -65
  List after swap: [-78, -66, -65, -49, -39, 3, 51, 58, 79, 84]
  Compare -49 and -39
  No swap needed

Pass 7:
  Compare -78 and -66
  No swap needed
  Compare -66 and -65
  No swap needed
  Compare -65 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -66, -65, -49, -39, 3, 51, 58, 79, 84]
</think>

<response>-78, -66, -65, -49, -39, 3, 51, 58, 79, 84</response>


input: Sort these integers 59, -24, -11, -32, 12, 8, 28, 81, -33, -59 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [59, -24, -11, -32, 12, 8, 28, 81, -33, -59]

Pass 1:
  Compare 59 and -24
  Swap 59 and -24
  List after swap: [-24, 59, -11, -32, 12, 8, 28, 81, -33, -59]
  Compare 59 and -11
  Swap 59 and -11
  List after swap: [-24, -11, 59, -32, 12, 8, 28, 81, -33, -59]
  Compare 59 and -32
  Swap 59 and -32
  List after swap: [-24, -11, -32, 59, 12, 8, 28, 81, -33, -59]
  Compare 59 and 12
  Swap 59 and 12
  List after swap: [-24, -11, -32, 12, 59, 8, 28, 81, -33, -59]
  Compare 59 and 8
  Swap 59 and 8
  List after swap: [-24, -11, -32, 12, 8, 59, 28, 81, -33, -59]
  Compare 59 and 28
  Swap 59 and 28
  List after swap: [-24, -11, -32, 12, 8, 28, 59, 81, -33, -59]
  Compare 59 and 81
  No swap needed
  Compare 81 and -33
  Swap 81 and -33
  List after swap: [-24, -11, -32, 12, 8, 28, 59, -33, 81, -59]
  Compare 81 and -59
  Swap 81 and -59
  List after swap: [-24, -11, -32, 12, 8, 28, 59, -33, -59, 81]

Pass 2:
  Compare -24 and -11
  No swap needed
  Compare -11 and -32
  Swap -11 and -32
  List after swap: [-24, -32, -11, 12, 8, 28, 59, -33, -59, 81]
  Compare -11 and 12
  No swap needed
  Compare 12 and 8
  Swap 12 and 8
  List after swap: [-24, -32, -11, 8, 12, 28, 59, -33, -59, 81]
  Compare 12 and 28
  No swap needed
  Compare 28 and 59
  No swap needed
  Compare 59 and -33
  Swap 59 and -33
  List after swap: [-24, -32, -11, 8, 12, 28, -33, 59, -59, 81]
  Compare 59 and -59
  Swap 59 and -59
  List after swap: [-24, -32, -11, 8, 12, 28, -33, -59, 59, 81]

Pass 3:
  Compare -24 and -32
  Swap -24 and -32
  List after swap: [-32, -24, -11, 8, 12, 28, -33, -59, 59, 81]
  Compare -24 and -11
  No swap needed
  Compare -11 and 8
  No swap needed
  Compare 8 and 12
  No swap needed
  Compare 12 and 28
  No swap needed
  Compare 28 and -33
  Swap 28 and -33
  List after swap: [-32, -24, -11, 8, 12, -33, 28, -59, 59, 81]
  Compare 28 and -59
  Swap 28 and -59
  List after swap: [-32, -24, -11, 8, 12, -33, -59, 28, 59, 81]

Pass 4:
  Compare -32 and -24
  No swap needed
  Compare -24 and -11
  No swap needed
  Compare -11 and 8
  No swap needed
  Compare 8 and 12
  No swap needed
  Compare 12 and -33
  Swap 12 and -33
  List after swap: [-32, -24, -11, 8, -33, 12, -59, 28, 59, 81]
  Compare 12 and -59
  Swap 12 and -59
  List after swap: [-32, -24, -11, 8, -33, -59, 12, 28, 59, 81]

Pass 5:
  Compare -32 and -24
  No swap needed
  Compare -24 and -11
  No swap needed
  Compare -11 and 8
  No swap needed
  Compare 8 and -33
  Swap 8 and -33
  List after swap: [-32, -24, -11, -33, 8, -59, 12, 28, 59, 81]
  Compare 8 and -59
  Swap 8 and -59
  List after swap: [-32, -24, -11, -33, -59, 8, 12, 28, 59, 81]

Pass 6:
  Compare -32 and -24
  No swap needed
  Compare -24 and -11
  No swap needed
  Compare -11 and -33
  Swap -11 and -33
  List after swap: [-32, -24, -33, -11, -59, 8, 12, 28, 59, 81]
  Compare -11 and -59
  Swap -11 and -59
  List after swap: [-32, -24, -33, -59, -11, 8, 12, 28, 59, 81]

Pass 7:
  Compare -32 and -24
  No swap needed
  Compare -24 and -33
  Swap -24 and -33
  List after swap: [-32, -33, -24, -59, -11, 8, 12, 28, 59, 81]
  Compare -24 and -59
  Swap -24 and -59
  List after swap: [-32, -33, -59, -24, -11, 8, 12, 28, 59, 81]

Pass 8:
  Compare -32 and -33
  Swap -32 and -33
  List after swap: [-33, -32, -59, -24, -11, 8, 12, 28, 59, 81]
  Compare -32 and -59
  Swap -32 and -59
  List after swap: [-33, -59, -32, -24, -11, 8, 12, 28, 59, 81]

Pass 9:
  Compare -33 and -59
  Swap -33 and -59
  List after swap: [-59, -33, -32, -24, -11, 8, 12, 28, 59, 81]

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

Final sorted list: [-59, -33, -32, -24, -11, 8, 12, 28, 59, 81]
</think>

<response>-59, -33, -32, -24, -11, 8, 12, 28, 59, 81</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 88, 71, -29.

output:
<think>
Initial list: [88, 71, -29]

Pass 1:
  Compare 88 and 71
  Swap 88 and 71
  List after swap: [71, 88, -29]
  Compare 88 and -29
  Swap 88 and -29
  List after swap: [71, -29, 88]

Pass 2:
  Compare 71 and -29
  Swap 71 and -29
  List after swap: [-29, 71, 88]

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

Final sorted list: [-29, 71, 88]
</think>

<response>-29, 71, 88</response>


input: Using the bubble sort method, sort 68, 83, 41, 36, -3, 37, -12, 98, -72, 45 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [68, 83, 41, 36, -3, 37, -12, 98, -72, 45]

Pass 1:
  Compare 68 and 83
  No swap needed
  Compare 83 and 41
  Swap 83 and 41
  List after swap: [68, 41, 83, 36, -3, 37, -12, 98, -72, 45]
  Compare 83 and 36
  Swap 83 and 36
  List after swap: [68, 41, 36, 83, -3, 37, -12, 98, -72, 45]
  Compare 83 and -3
  Swap 83 and -3
  List after swap: [68, 41, 36, -3, 83, 37, -12, 98, -72, 45]
  Compare 83 and 37
  Swap 83 and 37
  List after swap: [68, 41, 36, -3, 37, 83, -12, 98, -72, 45]
  Compare 83 and -12
  Swap 83 and -12
  List after swap: [68, 41, 36, -3, 37, -12, 83, 98, -72, 45]
  Compare 83 and 98
  No swap needed
  Compare 98 and -72
  Swap 98 and -72
  List after swap: [68, 41, 36, -3, 37, -12, 83, -72, 98, 45]
  Compare 98 and 45
  Swap 98 and 45
  List after swap: [68, 41, 36, -3, 37, -12, 83, -72, 45, 98]

Pass 2:
  Compare 68 and 41
  Swap 68 and 41
  List after swap: [41, 68, 36, -3, 37, -12, 83, -72, 45, 98]
  Compare 68 and 36
  Swap 68 and 36
  List after swap: [41, 36, 68, -3, 37, -12, 83, -72, 45, 98]
  Compare 68 and -3
  Swap 68 and -3
  List after swap: [41, 36, -3, 68, 37, -12, 83, -72, 45, 98]
  Compare 68 and 37
  Swap 68 and 37
  List after swap: [41, 36, -3, 37, 68, -12, 83, -72, 45, 98]
  Compare 68 and -12
  Swap 68 and -12
  List after swap: [41, 36, -3, 37, -12, 68, 83, -72, 45, 98]
  Compare 68 and 83
  No swap needed
  Compare 83 and -72
  Swap 83 and -72
  List after swap: [41, 36, -3, 37, -12, 68, -72, 83, 45, 98]
  Compare 83 and 45
  Swap 83 and 45
  List after swap: [41, 36, -3, 37, -12, 68, -72, 45, 83, 98]

Pass 3:
  Compare 41 and 36
  Swap 41 and 36
  List after swap: [36, 41, -3, 37, -12, 68, -72, 45, 83, 98]
  Compare 41 and -3
  Swap 41 and -3
  List after swap: [36, -3, 41, 37, -12, 68, -72, 45, 83, 98]
  Compare 41 and 37
  Swap 41 and 37
  List after swap: [36, -3, 37, 41, -12, 68, -72, 45, 83, 98]
  Compare 41 and -12
  Swap 41 and -12
  List after swap: [36, -3, 37, -12, 41, 68, -72, 45, 83, 98]
  Compare 41 and 68
  No swap needed
  Compare 68 and -72
  Swap 68 and -72
  List after swap: [36, -3, 37, -12, 41, -72, 68, 45, 83, 98]
  Compare 68 and 45
  Swap 68 and 45
  List after swap: [36, -3, 37, -12, 41, -72, 45, 68, 83, 98]

Pass 4:
  Compare 36 and -3
  Swap 36 and -3
  List after swap: [-3, 36, 37, -12, 41, -72, 45, 68, 83, 98]
  Compare 36 and 37
  No swap needed
  Compare 37 and -12
  Swap 37 and -12
  List after swap: [-3, 36, -12, 37, 41, -72, 45, 68, 83, 98]
  Compare 37 and 41
  No swap needed
  Compare 41 and -72
  Swap 41 and -72
  List after swap: [-3, 36, -12, 37, -72, 41, 45, 68, 83, 98]
  Compare 41 and 45
  No swap needed

Pass 5:
  Compare -3 and 36
  No swap needed
  Compare 36 and -12
  Swap 36 and -12
  List after swap: [-3, -12, 36, 37, -72, 41, 45, 68, 83, 98]
  Compare 36 and 37
  No swap needed
  Compare 37 and -72
  Swap 37 and -72
  List after swap: [-3, -12, 36, -72, 37, 41, 45, 68, 83, 98]
  Compare 37 and 41
  No swap needed

Pass 6:
  Compare -3 and -12
  Swap -3 and -12
  List after swap: [-12, -3, 36, -72, 37, 41, 45, 68, 83, 98]
  Compare -3 and 36
  No swap needed
  Compare 36 and -72
  Swap 36 and -72
  List after swap: [-12, -3, -72, 36, 37, 41, 45, 68, 83, 98]
  Compare 36 and 37
  No swap needed

Pass 7:
  Compare -12 and -3
  No swap needed
  Compare -3 and -72
  Swap -3 and -72
  List after swap: [-12, -72, -3, 36, 37, 41, 45, 68, 83, 98]
  Compare -3 and 36
  No swap needed

Pass 8:
  Compare -12 and -72
  Swap -12 and -72
  List after swap: [-72, -12, -3, 36, 37, 41, 45, 68, 83, 98]
  Compare -12 and -3
  No swap needed

Pass 9:
  Compare -72 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -12, -3, 36, 37, 41, 45, 68, 83, 98]
</think>

<response>-72, -12, -3, 36, 37, 41, 45, 68, 83, 98</response>


input: Sort these integers -56, 7, -25, -49, 67, 62 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-56, 7, -25, -49, 67, 62]

Pass 1:
  Compare -56 and 7
  No swap needed
  Compare 7 and -25
  Swap 7 and -25
  List after swap: [-56, -25, 7, -49, 67, 62]
  Compare 7 and -49
  Swap 7 and -49
  List after swap: [-56, -25, -49, 7, 67, 62]
  Compare 7 and 67
  No swap needed
  Compare 67 and 62
  Swap 67 and 62
  List after swap: [-56, -25, -49, 7, 62, 67]

Pass 2:
  Compare -56 and -25
  No swap needed
  Compare -25 and -49
  Swap -25 and -49
  List after swap: [-56, -49, -25, 7, 62, 67]
  Compare -25 and 7
  No swap needed
  Compare 7 and 62
  No swap needed

Pass 3:
  Compare -56 and -49
  No swap needed
  Compare -49 and -25
  No swap needed
  Compare -25 and 7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -49, -25, 7, 62, 67]
</think>

<response>-56, -49, -25, 7, 62, 67</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -78, 48, 71, 42, 87.

output:
<think>
Initial list: [-78, 48, 71, 42, 87]

Pass 1:
  Compare -78 and 48
  No swap needed
  Compare 48 and 71
  No swap needed
  Compare 71 and 42
  Swap 71 and 42
  List after swap: [-78, 48, 42, 71, 87]
  Compare 71 and 87
  No swap needed

Pass 2:
  Compare -78 and 48
  No swap needed
  Compare 48 and 42
  Swap 48 and 42
  List after swap: [-78, 42, 48, 71, 87]
  Compare 48 and 71
  No swap needed

Pass 3:
  Compare -78 and 42
  No swap needed
  Compare 42 and 48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, 42, 48, 71, 87]
</think>

<response>-78, 42, 48, 71, 87</response>


input: Sort these integers -56, 56, 28, 71, 52, -49, 81 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-56, 56, 28, 71, 52, -49, 81]

Pass 1:
  Compare -56 and 56
  No swap needed
  Compare 56 and 28
  Swap 56 and 28
  List after swap: [-56, 28, 56, 71, 52, -49, 81]
  Compare 56 and 71
  No swap needed
  Compare 71 and 52
  Swap 71 and 52
  List after swap: [-56, 28, 56, 52, 71, -49, 81]
  Compare 71 and -49
  Swap 71 and -49
  List after swap: [-56, 28, 56, 52, -49, 71, 81]
  Compare 71 and 81
  No swap needed

Pass 2:
  Compare -56 and 28
  No swap needed
  Compare 28 and 56
  No swap needed
  Compare 56 and 52
  Swap 56 and 52
  List after swap: [-56, 28, 52, 56, -49, 71, 81]
  Compare 56 and -49
  Swap 56 and -49
  List after swap: [-56, 28, 52, -49, 56, 71, 81]
  Compare 56 and 71
  No swap needed

Pass 3:
  Compare -56 and 28
  No swap needed
  Compare 28 and 52
  No swap needed
  Compare 52 and -49
  Swap 52 and -49
  List after swap: [-56, 28, -49, 52, 56, 71, 81]
  Compare 52 and 56
  No swap needed

Pass 4:
  Compare -56 and 28
  No swap needed
  Compare 28 and -49
  Swap 28 and -49
  List after swap: [-56, -49, 28, 52, 56, 71, 81]
  Compare 28 and 52
  No swap needed

Pass 5:
  Compare -56 and -49
  No swap needed
  Compare -49 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -49, 28, 52, 56, 71, 81]
</think>

<response>-56, -49, 28, 52, 56, 71, 81</response>


input: Perform a bubble sort on the integers 20, -22, -41, -88, -97, -96, -65, -69, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [20, -22, -41, -88, -97, -96, -65, -69]

Pass 1:
  Compare 20 and -22
  Swap 20 and -22
  List after swap: [-22, 20, -41, -88, -97, -96, -65, -69]
  Compare 20 and -41
  Swap 20 and -41
  List after swap: [-22, -41, 20, -88, -97, -96, -65, -69]
  Compare 20 and -88
  Swap 20 and -88
  List after swap: [-22, -41, -88, 20, -97, -96, -65, -69]
  Compare 20 and -97
  Swap 20 and -97
  List after swap: [-22, -41, -88, -97, 20, -96, -65, -69]
  Compare 20 and -96
  Swap 20 and -96
  List after swap: [-22, -41, -88, -97, -96, 20, -65, -69]
  Compare 20 and -65
  Swap 20 and -65
  List after swap: [-22, -41, -88, -97, -96, -65, 20, -69]
  Compare 20 and -69
  Swap 20 and -69
  List after swap: [-22, -41, -88, -97, -96, -65, -69, 20]

Pass 2:
  Compare -22 and -41
  Swap -22 and -41
  List after swap: [-41, -22, -88, -97, -96, -65, -69, 20]
  Compare -22 and -88
  Swap -22 and -88
  List after swap: [-41, -88, -22, -97, -96, -65, -69, 20]
  Compare -22 and -97
  Swap -22 and -97
  List after swap: [-41, -88, -97, -22, -96, -65, -69, 20]
  Compare -22 and -96
  Swap -22 and -96
  List after swap: [-41, -88, -97, -96, -22, -65, -69, 20]
  Compare -22 and -65
  Swap -22 and -65
  List after swap: [-41, -88, -97, -96, -65, -22, -69, 20]
  Compare -22 and -69
  Swap -22 and -69
  List after swap: [-41, -88, -97, -96, -65, -69, -22, 20]

Pass 3:
  Compare -41 and -88
  Swap -41 and -88
  List after swap: [-88, -41, -97, -96, -65, -69, -22, 20]
  Compare -41 and -97
  Swap -41 and -97
  List after swap: [-88, -97, -41, -96, -65, -69, -22, 20]
  Compare -41 and -96
  Swap -41 and -96
  List after swap: [-88, -97, -96, -41, -65, -69, -22, 20]
  Compare -41 and -65
  Swap -41 and -65
  List after swap: [-88, -97, -96, -65, -41, -69, -22, 20]
  Compare -41 and -69
  Swap -41 and -69
  List after swap: [-88, -97, -96, -65, -69, -41, -22, 20]

Pass 4:
  Compare -88 and -97
  Swap -88 and -97
  List after swap: [-97, -88, -96, -65, -69, -41, -22, 20]
  Compare -88 and -96
  Swap -88 and -96
  List after swap: [-97, -96, -88, -65, -69, -41, -22, 20]
  Compare -88 and -65
  No swap needed
  Compare -65 and -69
  Swap -65 and -69
  List after swap: [-97, -96, -88, -69, -65, -41, -22, 20]

Pass 5:
  Compare -97 and -96
  No swap needed
  Compare -96 and -88
  No swap needed
  Compare -88 and -69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -96, -88, -69, -65, -41, -22, 20]
</think>

<response>-97, -96, -88, -69, -65, -41, -22, 20</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -32, -21, 28, -29.

output:
<think>
Initial list: [-32, -21, 28, -29]

Pass 1:
  Compare -32 and -21
  No swap needed
  Compare -21 and 28
  No swap needed
  Compare 28 and -29
  Swap 28 and -29
  List after swap: [-32, -21, -29, 28]

Pass 2:
  Compare -32 and -21
  No swap needed
  Compare -21 and -29
  Swap -21 and -29
  List after swap: [-32, -29, -21, 28]

Pass 3:
  Compare -32 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-32, -29, -21, 28]
</think>

<response>-32, -29, -21, 28</response>


input: Use the bubble sort technique to reorder -55, 70, 56, -42, 50, 65, -97, -6 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-55, 70, 56, -42, 50, 65, -97, -6]

Pass 1:
  Compare -55 and 70
  No swap needed
  Compare 70 and 56
  Swap 70 and 56
  List after swap: [-55, 56, 70, -42, 50, 65, -97, -6]
  Compare 70 and -42
  Swap 70 and -42
  List after swap: [-55, 56, -42, 70, 50, 65, -97, -6]
  Compare 70 and 50
  Swap 70 and 50
  List after swap: [-55, 56, -42, 50, 70, 65, -97, -6]
  Compare 70 and 65
  Swap 70 and 65
  List after swap: [-55, 56, -42, 50, 65, 70, -97, -6]
  Compare 70 and -97
  Swap 70 and -97
  List after swap: [-55, 56, -42, 50, 65, -97, 70, -6]
  Compare 70 and -6
  Swap 70 and -6
  List after swap: [-55, 56, -42, 50, 65, -97, -6, 70]

Pass 2:
  Compare -55 and 56
  No swap needed
  Compare 56 and -42
  Swap 56 and -42
  List after swap: [-55, -42, 56, 50, 65, -97, -6, 70]
  Compare 56 and 50
  Swap 56 and 50
  List after swap: [-55, -42, 50, 56, 65, -97, -6, 70]
  Compare 56 and 65
  No swap needed
  Compare 65 and -97
  Swap 65 and -97
  List after swap: [-55, -42, 50, 56, -97, 65, -6, 70]
  Compare 65 and -6
  Swap 65 and -6
  List after swap: [-55, -42, 50, 56, -97, -6, 65, 70]

Pass 3:
  Compare -55 and -42
  No swap needed
  Compare -42 and 50
  No swap needed
  Compare 50 and 56
  No swap needed
  Compare 56 and -97
  Swap 56 and -97
  List after swap: [-55, -42, 50, -97, 56, -6, 65, 70]
  Compare 56 and -6
  Swap 56 and -6
  List after swap: [-55, -42, 50, -97, -6, 56, 65, 70]

Pass 4:
  Compare -55 and -42
  No swap needed
  Compare -42 and 50
  No swap needed
  Compare 50 and -97
  Swap 50 and -97
  List after swap: [-55, -42, -97, 50, -6, 56, 65, 70]
  Compare 50 and -6
  Swap 50 and -6
  List after swap: [-55, -42, -97, -6, 50, 56, 65, 70]

Pass 5:
  Compare -55 and -42
  No swap needed
  Compare -42 and -97
  Swap -42 and -97
  List after swap: [-55, -97, -42, -6, 50, 56, 65, 70]
  Compare -42 and -6
  No swap needed

Pass 6:
  Compare -55 and -97
  Swap -55 and -97
  List after swap: [-97, -55, -42, -6, 50, 56, 65, 70]
  Compare -55 and -42
  No swap needed

Pass 7:
  Compare -97 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -55, -42, -6, 50, 56, 65, 70]
</think>

<response>-97, -55, -42, -6, 50, 56, 65, 70</response>


input: Using the bubble sort method, sort 67, 90 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [67, 90]

Pass 1:
  Compare 67 and 90
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [67, 90]
</think>

<response>67, 90</response>


input: Arrange the numbers -84, -47, 26, -21, 57, -91 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-84, -47, 26, -21, 57, -91]

Pass 1:
  Compare -84 and -47
  No swap needed
  Compare -47 and 26
  No swap needed
  Compare 26 and -21
  Swap 26 and -21
  List after swap: [-84, -47, -21, 26, 57, -91]
  Compare 26 and 57
  No swap needed
  Compare 57 and -91
  Swap 57 and -91
  List after swap: [-84, -47, -21, 26, -91, 57]

Pass 2:
  Compare -84 and -47
  No swap needed
  Compare -47 and -21
  No swap needed
  Compare -21 and 26
  No swap needed
  Compare 26 and -91
  Swap 26 and -91
  List after swap: [-84, -47, -21, -91, 26, 57]

Pass 3:
  Compare -84 and -47
  No swap needed
  Compare -47 and -21
  No swap needed
  Compare -21 and -91
  Swap -21 and -91
  List after swap: [-84, -47, -91, -21, 26, 57]

Pass 4:
  Compare -84 and -47
  No swap needed
  Compare -47 and -91
  Swap -47 and -91
  List after swap: [-84, -91, -47, -21, 26, 57]

Pass 5:
  Compare -84 and -91
  Swap -84 and -91
  List after swap: [-91, -84, -47, -21, 26, 57]

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

Final sorted list: [-91, -84, -47, -21, 26, 57]
</think>

<response>-91, -84, -47, -21, 26, 57</response>


input: Demonstrate how bubble sort orders the integers 21, -85, 77, 38, -8, 75, -46 in ascending sequence, showing all steps.

output:
<think>
Initial list: [21, -85, 77, 38, -8, 75, -46]

Pass 1:
  Compare 21 and -85
  Swap 21 and -85
  List after swap: [-85, 21, 77, 38, -8, 75, -46]
  Compare 21 and 77
  No swap needed
  Compare 77 and 38
  Swap 77 and 38
  List after swap: [-85, 21, 38, 77, -8, 75, -46]
  Compare 77 and -8
  Swap 77 and -8
  List after swap: [-85, 21, 38, -8, 77, 75, -46]
  Compare 77 and 75
  Swap 77 and 75
  List after swap: [-85, 21, 38, -8, 75, 77, -46]
  Compare 77 and -46
  Swap 77 and -46
  List after swap: [-85, 21, 38, -8, 75, -46, 77]

Pass 2:
  Compare -85 and 21
  No swap needed
  Compare 21 and 38
  No swap needed
  Compare 38 and -8
  Swap 38 and -8
  List after swap: [-85, 21, -8, 38, 75, -46, 77]
  Compare 38 and 75
  No swap needed
  Compare 75 and -46
  Swap 75 and -46
  List after swap: [-85, 21, -8, 38, -46, 75, 77]

Pass 3:
  Compare -85 and 21
  No swap needed
  Compare 21 and -8
  Swap 21 and -8
  List after swap: [-85, -8, 21, 38, -46, 75, 77]
  Compare 21 and 38
  No swap needed
  Compare 38 and -46
  Swap 38 and -46
  List after swap: [-85, -8, 21, -46, 38, 75, 77]

Pass 4:
  Compare -85 and -8
  No swap needed
  Compare -8 and 21
  No swap needed
  Compare 21 and -46
  Swap 21 and -46
  List after swap: [-85, -8, -46, 21, 38, 75, 77]

Pass 5:
  Compare -85 and -8
  No swap needed
  Compare -8 and -46
  Swap -8 and -46
  List after swap: [-85, -46, -8, 21, 38, 75, 77]

Pass 6:
  Compare -85 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -46, -8, 21, 38, 75, 77]
</think>

<response>-85, -46, -8, 21, 38, 75, 77</response>


input: Carry out the bubble sort algorithm on -16, -94, 81, -86, 54, -84, -4 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-16, -94, 81, -86, 54, -84, -4]

Pass 1:
  Compare -16 and -94
  Swap -16 and -94
  List after swap: [-94, -16, 81, -86, 54, -84, -4]
  Compare -16 and 81
  No swap needed
  Compare 81 and -86
  Swap 81 and -86
  List after swap: [-94, -16, -86, 81, 54, -84, -4]
  Compare 81 and 54
  Swap 81 and 54
  List after swap: [-94, -16, -86, 54, 81, -84, -4]
  Compare 81 and -84
  Swap 81 and -84
  List after swap: [-94, -16, -86, 54, -84, 81, -4]
  Compare 81 and -4
  Swap 81 and -4
  List after swap: [-94, -16, -86, 54, -84, -4, 81]

Pass 2:
  Compare -94 and -16
  No swap needed
  Compare -16 and -86
  Swap -16 and -86
  List after swap: [-94, -86, -16, 54, -84, -4, 81]
  Compare -16 and 54
  No swap needed
  Compare 54 and -84
  Swap 54 and -84
  List after swap: [-94, -86, -16, -84, 54, -4, 81]
  Compare 54 and -4
  Swap 54 and -4
  List after swap: [-94, -86, -16, -84, -4, 54, 81]

Pass 3:
  Compare -94 and -86
  No swap needed
  Compare -86 and -16
  No swap needed
  Compare -16 and -84
  Swap -16 and -84
  List after swap: [-94, -86, -84, -16, -4, 54, 81]
  Compare -16 and -4
  No swap needed

Pass 4:
  Compare -94 and -86
  No swap needed
  Compare -86 and -84
  No swap needed
  Compare -84 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -86, -84, -16, -4, 54, 81]
</think>

<response>-94, -86, -84, -16, -4, 54, 81</response>


input: Demonstrate how bubble sort orders the integers 90, 81, -70, 57, -2, -27 in ascending sequence, showing all steps.

output:
<think>
Initial list: [90, 81, -70, 57, -2, -27]

Pass 1:
  Compare 90 and 81
  Swap 90 and 81
  List after swap: [81, 90, -70, 57, -2, -27]
  Compare 90 and -70
  Swap 90 and -70
  List after swap: [81, -70, 90, 57, -2, -27]
  Compare 90 and 57
  Swap 90 and 57
  List after swap: [81, -70, 57, 90, -2, -27]
  Compare 90 and -2
  Swap 90 and -2
  List after swap: [81, -70, 57, -2, 90, -27]
  Compare 90 and -27
  Swap 90 and -27
  List after swap: [81, -70, 57, -2, -27, 90]

Pass 2:
  Compare 81 and -70
  Swap 81 and -70
  List after swap: [-70, 81, 57, -2, -27, 90]
  Compare 81 and 57
  Swap 81 and 57
  List after swap: [-70, 57, 81, -2, -27, 90]
  Compare 81 and -2
  Swap 81 and -2
  List after swap: [-70, 57, -2, 81, -27, 90]
  Compare 81 and -27
  Swap 81 and -27
  List after swap: [-70, 57, -2, -27, 81, 90]

Pass 3:
  Compare -70 and 57
  No swap needed
  Compare 57 and -2
  Swap 57 and -2
  List after swap: [-70, -2, 57, -27, 81, 90]
  Compare 57 and -27
  Swap 57 and -27
  List after swap: [-70, -2, -27, 57, 81, 90]

Pass 4:
  Compare -70 and -2
  No swap needed
  Compare -2 and -27
  Swap -2 and -27
  List after swap: [-70, -27, -2, 57, 81, 90]

Pass 5:
  Compare -70 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -27, -2, 57, 81, 90]
</think>

<response>-70, -27, -2, 57, 81, 90</response>


input: Implement bubble sort on -2, 82, 75, -51, 57, -91, -40, 73, -72 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-2, 82, 75, -51, 57, -91, -40, 73, -72]

Pass 1:
  Compare -2 and 82
  No swap needed
  Compare 82 and 75
  Swap 82 and 75
  List after swap: [-2, 75, 82, -51, 57, -91, -40, 73, -72]
  Compare 82 and -51
  Swap 82 and -51
  List after swap: [-2, 75, -51, 82, 57, -91, -40, 73, -72]
  Compare 82 and 57
  Swap 82 and 57
  List after swap: [-2, 75, -51, 57, 82, -91, -40, 73, -72]
  Compare 82 and -91
  Swap 82 and -91
  List after swap: [-2, 75, -51, 57, -91, 82, -40, 73, -72]
  Compare 82 and -40
  Swap 82 and -40
  List after swap: [-2, 75, -51, 57, -91, -40, 82, 73, -72]
  Compare 82 and 73
  Swap 82 and 73
  List after swap: [-2, 75, -51, 57, -91, -40, 73, 82, -72]
  Compare 82 and -72
  Swap 82 and -72
  List after swap: [-2, 75, -51, 57, -91, -40, 73, -72, 82]

Pass 2:
  Compare -2 and 75
  No swap needed
  Compare 75 and -51
  Swap 75 and -51
  List after swap: [-2, -51, 75, 57, -91, -40, 73, -72, 82]
  Compare 75 and 57
  Swap 75 and 57
  List after swap: [-2, -51, 57, 75, -91, -40, 73, -72, 82]
  Compare 75 and -91
  Swap 75 and -91
  List after swap: [-2, -51, 57, -91, 75, -40, 73, -72, 82]
  Compare 75 and -40
  Swap 75 and -40
  List after swap: [-2, -51, 57, -91, -40, 75, 73, -72, 82]
  Compare 75 and 73
  Swap 75 and 73
  List after swap: [-2, -51, 57, -91, -40, 73, 75, -72, 82]
  Compare 75 and -72
  Swap 75 and -72
  List after swap: [-2, -51, 57, -91, -40, 73, -72, 75, 82]

Pass 3:
  Compare -2 and -51
  Swap -2 and -51
  List after swap: [-51, -2, 57, -91, -40, 73, -72, 75, 82]
  Compare -2 and 57
  No swap needed
  Compare 57 and -91
  Swap 57 and -91
  List after swap: [-51, -2, -91, 57, -40, 73, -72, 75, 82]
  Compare 57 and -40
  Swap 57 and -40
  List after swap: [-51, -2, -91, -40, 57, 73, -72, 75, 82]
  Compare 57 and 73
  No swap needed
  Compare 73 and -72
  Swap 73 and -72
  List after swap: [-51, -2, -91, -40, 57, -72, 73, 75, 82]

Pass 4:
  Compare -51 and -2
  No swap needed
  Compare -2 and -91
  Swap -2 and -91
  List after swap: [-51, -91, -2, -40, 57, -72, 73, 75, 82]
  Compare -2 and -40
  Swap -2 and -40
  List after swap: [-51, -91, -40, -2, 57, -72, 73, 75, 82]
  Compare -2 and 57
  No swap needed
  Compare 57 and -72
  Swap 57 and -72
  List after swap: [-51, -91, -40, -2, -72, 57, 73, 75, 82]

Pass 5:
  Compare -51 and -91
  Swap -51 and -91
  List after swap: [-91, -51, -40, -2, -72, 57, 73, 75, 82]
  Compare -51 and -40
  No swap needed
  Compare -40 and -2
  No swap needed
  Compare -2 and -72
  Swap -2 and -72
  List after swap: [-91, -51, -40, -72, -2, 57, 73, 75, 82]

Pass 6:
  Compare -91 and -51
  No swap needed
  Compare -51 and -40
  No swap needed
  Compare -40 and -72
  Swap -40 and -72
  List after swap: [-91, -51, -72, -40, -2, 57, 73, 75, 82]

Pass 7:
  Compare -91 and -51
  No swap needed
  Compare -51 and -72
  Swap -51 and -72
  List after swap: [-91, -72, -51, -40, -2, 57, 73, 75, 82]

Pass 8:
  Compare -91 and -72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -72, -51, -40, -2, 57, 73, 75, 82]
</think>

<response>-91, -72, -51, -40, -2, 57, 73, 75, 82</response>


input: Arrange the numbers 39, -18, 78, 93, -1, -5, 4, 42 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [39, -18, 78, 93, -1, -5, 4, 42]

Pass 1:
  Compare 39 and -18
  Swap 39 and -18
  List after swap: [-18, 39, 78, 93, -1, -5, 4, 42]
  Compare 39 and 78
  No swap needed
  Compare 78 and 93
  No swap needed
  Compare 93 and -1
  Swap 93 and -1
  List after swap: [-18, 39, 78, -1, 93, -5, 4, 42]
  Compare 93 and -5
  Swap 93 and -5
  List after swap: [-18, 39, 78, -1, -5, 93, 4, 42]
  Compare 93 and 4
  Swap 93 and 4
  List after swap: [-18, 39, 78, -1, -5, 4, 93, 42]
  Compare 93 and 42
  Swap 93 and 42
  List after swap: [-18, 39, 78, -1, -5, 4, 42, 93]

Pass 2:
  Compare -18 and 39
  No swap needed
  Compare 39 and 78
  No swap needed
  Compare 78 and -1
  Swap 78 and -1
  List after swap: [-18, 39, -1, 78, -5, 4, 42, 93]
  Compare 78 and -5
  Swap 78 and -5
  List after swap: [-18, 39, -1, -5, 78, 4, 42, 93]
  Compare 78 and 4
  Swap 78 and 4
  List after swap: [-18, 39, -1, -5, 4, 78, 42, 93]
  Compare 78 and 42
  Swap 78 and 42
  List after swap: [-18, 39, -1, -5, 4, 42, 78, 93]

Pass 3:
  Compare -18 and 39
  No swap needed
  Compare 39 and -1
  Swap 39 and -1
  List after swap: [-18, -1, 39, -5, 4, 42, 78, 93]
  Compare 39 and -5
  Swap 39 and -5
  List after swap: [-18, -1, -5, 39, 4, 42, 78, 93]
  Compare 39 and 4
  Swap 39 and 4
  List after swap: [-18, -1, -5, 4, 39, 42, 78, 93]
  Compare 39 and 42
  No swap needed

Pass 4:
  Compare -18 and -1
  No swap needed
  Compare -1 and -5
  Swap -1 and -5
  List after swap: [-18, -5, -1, 4, 39, 42, 78, 93]
  Compare -1 and 4
  No swap needed
  Compare 4 and 39
  No swap needed

Pass 5:
  Compare -18 and -5
  No swap needed
  Compare -5 and -1
  No swap needed
  Compare -1 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-18, -5, -1, 4, 39, 42, 78, 93]
</think>

<response>-18, -5, -1, 4, 39, 42, 78, 93</response>


input: Perform a bubble sort on the integers 82, -12, 13, -94, -42, -6, 95, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [82, -12, 13, -94, -42, -6, 95]

Pass 1:
  Compare 82 and -12
  Swap 82 and -12
  List after swap: [-12, 82, 13, -94, -42, -6, 95]
  Compare 82 and 13
  Swap 82 and 13
  List after swap: [-12, 13, 82, -94, -42, -6, 95]
  Compare 82 and -94
  Swap 82 and -94
  List after swap: [-12, 13, -94, 82, -42, -6, 95]
  Compare 82 and -42
  Swap 82 and -42
  List after swap: [-12, 13, -94, -42, 82, -6, 95]
  Compare 82 and -6
  Swap 82 and -6
  List after swap: [-12, 13, -94, -42, -6, 82, 95]
  Compare 82 and 95
  No swap needed

Pass 2:
  Compare -12 and 13
  No swap needed
  Compare 13 and -94
  Swap 13 and -94
  List after swap: [-12, -94, 13, -42, -6, 82, 95]
  Compare 13 and -42
  Swap 13 and -42
  List after swap: [-12, -94, -42, 13, -6, 82, 95]
  Compare 13 and -6
  Swap 13 and -6
  List after swap: [-12, -94, -42, -6, 13, 82, 95]
  Compare 13 and 82
  No swap needed

Pass 3:
  Compare -12 and -94
  Swap -12 and -94
  List after swap: [-94, -12, -42, -6, 13, 82, 95]
  Compare -12 and -42
  Swap -12 and -42
  List after swap: [-94, -42, -12, -6, 13, 82, 95]
  Compare -12 and -6
  No swap needed
  Compare -6 and 13
  No swap needed

Pass 4:
  Compare -94 and -42
  No swap needed
  Compare -42 and -12
  No swap needed
  Compare -12 and -6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -42, -12, -6, 13, 82, 95]
</think>

<response>-94, -42, -12, -6, 13, 82, 95</response>


input: Implement bubble sort on -47, 59, -66, 29, 26, 22, -69, 47, 16, 87 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-47, 59, -66, 29, 26, 22, -69, 47, 16, 87]

Pass 1:
  Compare -47 and 59
  No swap needed
  Compare 59 and -66
  Swap 59 and -66
  List after swap: [-47, -66, 59, 29, 26, 22, -69, 47, 16, 87]
  Compare 59 and 29
  Swap 59 and 29
  List after swap: [-47, -66, 29, 59, 26, 22, -69, 47, 16, 87]
  Compare 59 and 26
  Swap 59 and 26
  List after swap: [-47, -66, 29, 26, 59, 22, -69, 47, 16, 87]
  Compare 59 and 22
  Swap 59 and 22
  List after swap: [-47, -66, 29, 26, 22, 59, -69, 47, 16, 87]
  Compare 59 and -69
  Swap 59 and -69
  List after swap: [-47, -66, 29, 26, 22, -69, 59, 47, 16, 87]
  Compare 59 and 47
  Swap 59 and 47
  List after swap: [-47, -66, 29, 26, 22, -69, 47, 59, 16, 87]
  Compare 59 and 16
  Swap 59 and 16
  List after swap: [-47, -66, 29, 26, 22, -69, 47, 16, 59, 87]
  Compare 59 and 87
  No swap needed

Pass 2:
  Compare -47 and -66
  Swap -47 and -66
  List after swap: [-66, -47, 29, 26, 22, -69, 47, 16, 59, 87]
  Compare -47 and 29
  No swap needed
  Compare 29 and 26
  Swap 29 and 26
  List after swap: [-66, -47, 26, 29, 22, -69, 47, 16, 59, 87]
  Compare 29 and 22
  Swap 29 and 22
  List after swap: [-66, -47, 26, 22, 29, -69, 47, 16, 59, 87]
  Compare 29 and -69
  Swap 29 and -69
  List after swap: [-66, -47, 26, 22, -69, 29, 47, 16, 59, 87]
  Compare 29 and 47
  No swap needed
  Compare 47 and 16
  Swap 47 and 16
  List after swap: [-66, -47, 26, 22, -69, 29, 16, 47, 59, 87]
  Compare 47 and 59
  No swap needed

Pass 3:
  Compare -66 and -47
  No swap needed
  Compare -47 and 26
  No swap needed
  Compare 26 and 22
  Swap 26 and 22
  List after swap: [-66, -47, 22, 26, -69, 29, 16, 47, 59, 87]
  Compare 26 and -69
  Swap 26 and -69
  List after swap: [-66, -47, 22, -69, 26, 29, 16, 47, 59, 87]
  Compare 26 and 29
  No swap needed
  Compare 29 and 16
  Swap 29 and 16
  List after swap: [-66, -47, 22, -69, 26, 16, 29, 47, 59, 87]
  Compare 29 and 47
  No swap needed

Pass 4:
  Compare -66 and -47
  No swap needed
  Compare -47 and 22
  No swap needed
  Compare 22 and -69
  Swap 22 and -69
  List after swap: [-66, -47, -69, 22, 26, 16, 29, 47, 59, 87]
  Compare 22 and 26
  No swap needed
  Compare 26 and 16
  Swap 26 and 16
  List after swap: [-66, -47, -69, 22, 16, 26, 29, 47, 59, 87]
  Compare 26 and 29
  No swap needed

Pass 5:
  Compare -66 and -47
  No swap needed
  Compare -47 and -69
  Swap -47 and -69
  List after swap: [-66, -69, -47, 22, 16, 26, 29, 47, 59, 87]
  Compare -47 and 22
  No swap needed
  Compare 22 and 16
  Swap 22 and 16
  List after swap: [-66, -69, -47, 16, 22, 26, 29, 47, 59, 87]
  Compare 22 and 26
  No swap needed

Pass 6:
  Compare -66 and -69
  Swap -66 and -69
  List after swap: [-69, -66, -47, 16, 22, 26, 29, 47, 59, 87]
  Compare -66 and -47
  No swap needed
  Compare -47 and 16
  No swap needed
  Compare 16 and 22
  No swap needed

Pass 7:
  Compare -69 and -66
  No swap needed
  Compare -66 and -47
  No swap needed
  Compare -47 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -66, -47, 16, 22, 26, 29, 47, 59, 87]
</think>

<response>-69, -66, -47, 16, 22, 26, 29, 47, 59, 87</response>


input: Use the bubble sort technique to reorder 77, 43, 31, -45, 75, -14, -30, -76 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [77, 43, 31, -45, 75, -14, -30, -76]

Pass 1:
  Compare 77 and 43
  Swap 77 and 43
  List after swap: [43, 77, 31, -45, 75, -14, -30, -76]
  Compare 77 and 31
  Swap 77 and 31
  List after swap: [43, 31, 77, -45, 75, -14, -30, -76]
  Compare 77 and -45
  Swap 77 and -45
  List after swap: [43, 31, -45, 77, 75, -14, -30, -76]
  Compare 77 and 75
  Swap 77 and 75
  List after swap: [43, 31, -45, 75, 77, -14, -30, -76]
  Compare 77 and -14
  Swap 77 and -14
  List after swap: [43, 31, -45, 75, -14, 77, -30, -76]
  Compare 77 and -30
  Swap 77 and -30
  List after swap: [43, 31, -45, 75, -14, -30, 77, -76]
  Compare 77 and -76
  Swap 77 and -76
  List after swap: [43, 31, -45, 75, -14, -30, -76, 77]

Pass 2:
  Compare 43 and 31
  Swap 43 and 31
  List after swap: [31, 43, -45, 75, -14, -30, -76, 77]
  Compare 43 and -45
  Swap 43 and -45
  List after swap: [31, -45, 43, 75, -14, -30, -76, 77]
  Compare 43 and 75
  No swap needed
  Compare 75 and -14
  Swap 75 and -14
  List after swap: [31, -45, 43, -14, 75, -30, -76, 77]
  Compare 75 and -30
  Swap 75 and -30
  List after swap: [31, -45, 43, -14, -30, 75, -76, 77]
  Compare 75 and -76
  Swap 75 and -76
  List after swap: [31, -45, 43, -14, -30, -76, 75, 77]

Pass 3:
  Compare 31 and -45
  Swap 31 and -45
  List after swap: [-45, 31, 43, -14, -30, -76, 75, 77]
  Compare 31 and 43
  No swap needed
  Compare 43 and -14
  Swap 43 and -14
  List after swap: [-45, 31, -14, 43, -30, -76, 75, 77]
  Compare 43 and -30
  Swap 43 and -30
  List after swap: [-45, 31, -14, -30, 43, -76, 75, 77]
  Compare 43 and -76
  Swap 43 and -76
  List after swap: [-45, 31, -14, -30, -76, 43, 75, 77]

Pass 4:
  Compare -45 and 31
  No swap needed
  Compare 31 and -14
  Swap 31 and -14
  List after swap: [-45, -14, 31, -30, -76, 43, 75, 77]
  Compare 31 and -30
  Swap 31 and -30
  List after swap: [-45, -14, -30, 31, -76, 43, 75, 77]
  Compare 31 and -76
  Swap 31 and -76
  List after swap: [-45, -14, -30, -76, 31, 43, 75, 77]

Pass 5:
  Compare -45 and -14
  No swap needed
  Compare -14 and -30
  Swap -14 and -30
  List after swap: [-45, -30, -14, -76, 31, 43, 75, 77]
  Compare -14 and -76
  Swap -14 and -76
  List after swap: [-45, -30, -76, -14, 31, 43, 75, 77]

Pass 6:
  Compare -45 and -30
  No swap needed
  Compare -30 and -76
  Swap -30 and -76
  List after swap: [-45, -76, -30, -14, 31, 43, 75, 77]

Pass 7:
  Compare -45 and -76
  Swap -45 and -76
  List after swap: [-76, -45, -30, -14, 31, 43, 75, 77]

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

Final sorted list: [-76, -45, -30, -14, 31, 43, 75, 77]
</think>

<response>-76, -45, -30, -14, 31, 43, 75, 77</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 35, 40, 19, -43, 5, -39, -19.

output:
<think>
Initial list: [35, 40, 19, -43, 5, -39, -19]

Pass 1:
  Compare 35 and 40
  No swap needed
  Compare 40 and 19
  Swap 40 and 19
  List after swap: [35, 19, 40, -43, 5, -39, -19]
  Compare 40 and -43
  Swap 40 and -43
  List after swap: [35, 19, -43, 40, 5, -39, -19]
  Compare 40 and 5
  Swap 40 and 5
  List after swap: [35, 19, -43, 5, 40, -39, -19]
  Compare 40 and -39
  Swap 40 and -39
  List after swap: [35, 19, -43, 5, -39, 40, -19]
  Compare 40 and -19
  Swap 40 and -19
  List after swap: [35, 19, -43, 5, -39, -19, 40]

Pass 2:
  Compare 35 and 19
  Swap 35 and 19
  List after swap: [19, 35, -43, 5, -39, -19, 40]
  Compare 35 and -43
  Swap 35 and -43
  List after swap: [19, -43, 35, 5, -39, -19, 40]
  Compare 35 and 5
  Swap 35 and 5
  List after swap: [19, -43, 5, 35, -39, -19, 40]
  Compare 35 and -39
  Swap 35 and -39
  List after swap: [19, -43, 5, -39, 35, -19, 40]
  Compare 35 and -19
  Swap 35 and -19
  List after swap: [19, -43, 5, -39, -19, 35, 40]

Pass 3:
  Compare 19 and -43
  Swap 19 and -43
  List after swap: [-43, 19, 5, -39, -19, 35, 40]
  Compare 19 and 5
  Swap 19 and 5
  List after swap: [-43, 5, 19, -39, -19, 35, 40]
  Compare 19 and -39
  Swap 19 and -39
  List after swap: [-43, 5, -39, 19, -19, 35, 40]
  Compare 19 and -19
  Swap 19 and -19
  List after swap: [-43, 5, -39, -19, 19, 35, 40]

Pass 4:
  Compare -43 and 5
  No swap needed
  Compare 5 and -39
  Swap 5 and -39
  List after swap: [-43, -39, 5, -19, 19, 35, 40]
  Compare 5 and -19
  Swap 5 and -19
  List after swap: [-43, -39, -19, 5, 19, 35, 40]

Pass 5:
  Compare -43 and -39
  No swap needed
  Compare -39 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-43, -39, -19, 5, 19, 35, 40]
</think>

<response>-43, -39, -19, 5, 19, 35, 40</response>


input: Demonstrate how bubble sort orders the integers 46, -50, -85, 90, -65, 66 in ascending sequence, showing all steps.

output:
<think>
Initial list: [46, -50, -85, 90, -65, 66]

Pass 1:
  Compare 46 and -50
  Swap 46 and -50
  List after swap: [-50, 46, -85, 90, -65, 66]
  Compare 46 and -85
  Swap 46 and -85
  List after swap: [-50, -85, 46, 90, -65, 66]
  Compare 46 and 90
  No swap needed
  Compare 90 and -65
  Swap 90 and -65
  List after swap: [-50, -85, 46, -65, 90, 66]
  Compare 90 and 66
  Swap 90 and 66
  List after swap: [-50, -85, 46, -65, 66, 90]

Pass 2:
  Compare -50 and -85
  Swap -50 and -85
  List after swap: [-85, -50, 46, -65, 66, 90]
  Compare -50 and 46
  No swap needed
  Compare 46 and -65
  Swap 46 and -65
  List after swap: [-85, -50, -65, 46, 66, 90]
  Compare 46 and 66
  No swap needed

Pass 3:
  Compare -85 and -50
  No swap needed
  Compare -50 and -65
  Swap -50 and -65
  List after swap: [-85, -65, -50, 46, 66, 90]
  Compare -50 and 46
  No swap needed

Pass 4:
  Compare -85 and -65
  No swap needed
  Compare -65 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -65, -50, 46, 66, 90]
</think>

<response>-85, -65, -50, 46, 66, 90</response>


input: Carry out the bubble sort algorithm on -16, -15, 36, 4 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-16, -15, 36, 4]

Pass 1:
  Compare -16 and -15
  No swap needed
  Compare -15 and 36
  No swap needed
  Compare 36 and 4
  Swap 36 and 4
  List after swap: [-16, -15, 4, 36]

Pass 2:
  Compare -16 and -15
  No swap needed
  Compare -15 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-16, -15, 4, 36]
</think>

<response>-16, -15, 4, 36</response>


input: Sort the list 88, 7 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [88, 7]

Pass 1:
  Compare 88 and 7
  Swap 88 and 7
  List after swap: [7, 88]

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

Final sorted list: [7, 88]
</think>

<response>7, 88</response>


input: Demonstrate how bubble sort orders the integers 36, -36, 28, -58, -46 in ascending sequence, showing all steps.

output:
<think>
Initial list: [36, -36, 28, -58, -46]

Pass 1:
  Compare 36 and -36
  Swap 36 and -36
  List after swap: [-36, 36, 28, -58, -46]
  Compare 36 and 28
  Swap 36 and 28
  List after swap: [-36, 28, 36, -58, -46]
  Compare 36 and -58
  Swap 36 and -58
  List after swap: [-36, 28, -58, 36, -46]
  Compare 36 and -46
  Swap 36 and -46
  List after swap: [-36, 28, -58, -46, 36]

Pass 2:
  Compare -36 and 28
  No swap needed
  Compare 28 and -58
  Swap 28 and -58
  List after swap: [-36, -58, 28, -46, 36]
  Compare 28 and -46
  Swap 28 and -46
  List after swap: [-36, -58, -46, 28, 36]

Pass 3:
  Compare -36 and -58
  Swap -36 and -58
  List after swap: [-58, -36, -46, 28, 36]
  Compare -36 and -46
  Swap -36 and -46
  List after swap: [-58, -46, -36, 28, 36]

Pass 4:
  Compare -58 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -46, -36, 28, 36]
</think>

<response>-58, -46, -36, 28, 36</response>


input: Using the bubble sort method, sort 82, -88, 75, 73, 15, 62, 21, -45, 84 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [82, -88, 75, 73, 15, 62, 21, -45, 84]

Pass 1:
  Compare 82 and -88
  Swap 82 and -88
  List after swap: [-88, 82, 75, 73, 15, 62, 21, -45, 84]
  Compare 82 and 75
  Swap 82 and 75
  List after swap: [-88, 75, 82, 73, 15, 62, 21, -45, 84]
  Compare 82 and 73
  Swap 82 and 73
  List after swap: [-88, 75, 73, 82, 15, 62, 21, -45, 84]
  Compare 82 and 15
  Swap 82 and 15
  List after swap: [-88, 75, 73, 15, 82, 62, 21, -45, 84]
  Compare 82 and 62
  Swap 82 and 62
  List after swap: [-88, 75, 73, 15, 62, 82, 21, -45, 84]
  Compare 82 and 21
  Swap 82 and 21
  List after swap: [-88, 75, 73, 15, 62, 21, 82, -45, 84]
  Compare 82 and -45
  Swap 82 and -45
  List after swap: [-88, 75, 73, 15, 62, 21, -45, 82, 84]
  Compare 82 and 84
  No swap needed

Pass 2:
  Compare -88 and 75
  No swap needed
  Compare 75 and 73
  Swap 75 and 73
  List after swap: [-88, 73, 75, 15, 62, 21, -45, 82, 84]
  Compare 75 and 15
  Swap 75 and 15
  List after swap: [-88, 73, 15, 75, 62, 21, -45, 82, 84]
  Compare 75 and 62
  Swap 75 and 62
  List after swap: [-88, 73, 15, 62, 75, 21, -45, 82, 84]
  Compare 75 and 21
  Swap 75 and 21
  List after swap: [-88, 73, 15, 62, 21, 75, -45, 82, 84]
  Compare 75 and -45
  Swap 75 and -45
  List after swap: [-88, 73, 15, 62, 21, -45, 75, 82, 84]
  Compare 75 and 82
  No swap needed

Pass 3:
  Compare -88 and 73
  No swap needed
  Compare 73 and 15
  Swap 73 and 15
  List after swap: [-88, 15, 73, 62, 21, -45, 75, 82, 84]
  Compare 73 and 62
  Swap 73 and 62
  List after swap: [-88, 15, 62, 73, 21, -45, 75, 82, 84]
  Compare 73 and 21
  Swap 73 and 21
  List after swap: [-88, 15, 62, 21, 73, -45, 75, 82, 84]
  Compare 73 and -45
  Swap 73 and -45
  List after swap: [-88, 15, 62, 21, -45, 73, 75, 82, 84]
  Compare 73 and 75
  No swap needed

Pass 4:
  Compare -88 and 15
  No swap needed
  Compare 15 and 62
  No swap needed
  Compare 62 and 21
  Swap 62 and 21
  List after swap: [-88, 15, 21, 62, -45, 73, 75, 82, 84]
  Compare 62 and -45
  Swap 62 and -45
  List after swap: [-88, 15, 21, -45, 62, 73, 75, 82, 84]
  Compare 62 and 73
  No swap needed

Pass 5:
  Compare -88 and 15
  No swap needed
  Compare 15 and 21
  No swap needed
  Compare 21 and -45
  Swap 21 and -45
  List after swap: [-88, 15, -45, 21, 62, 73, 75, 82, 84]
  Compare 21 and 62
  No swap needed

Pass 6:
  Compare -88 and 15
  No swap needed
  Compare 15 and -45
  Swap 15 and -45
  List after swap: [-88, -45, 15, 21, 62, 73, 75, 82, 84]
  Compare 15 and 21
  No swap needed

Pass 7:
  Compare -88 and -45
  No swap needed
  Compare -45 and 15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -45, 15, 21, 62, 73, 75, 82, 84]
</think>

<response>-88, -45, 15, 21, 62, 73, 75, 82, 84</response>


input: Demonstrate how bubble sort orders the integers 93, 51, 79 in ascending sequence, showing all steps.

output:
<think>
Initial list: [93, 51, 79]

Pass 1:
  Compare 93 and 51
  Swap 93 and 51
  List after swap: [51, 93, 79]
  Compare 93 and 79
  Swap 93 and 79
  List after swap: [51, 79, 93]

Pass 2:
  Compare 51 and 79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [51, 79, 93]
</think>

<response>51, 79, 93</response>


input: Arrange the numbers 1, 38, -79, -97, 57 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [1, 38, -79, -97, 57]

Pass 1:
  Compare 1 and 38
  No swap needed
  Compare 38 and -79
  Swap 38 and -79
  List after swap: [1, -79, 38, -97, 57]
  Compare 38 and -97
  Swap 38 and -97
  List after swap: [1, -79, -97, 38, 57]
  Compare 38 and 57
  No swap needed

Pass 2:
  Compare 1 and -79
  Swap 1 and -79
  List after swap: [-79, 1, -97, 38, 57]
  Compare 1 and -97
  Swap 1 and -97
  List after swap: [-79, -97, 1, 38, 57]
  Compare 1 and 38
  No swap needed

Pass 3:
  Compare -79 and -97
  Swap -79 and -97
  List after swap: [-97, -79, 1, 38, 57]
  Compare -79 and 1
  No swap needed

Pass 4:
  Compare -97 and -79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -79, 1, 38, 57]
</think>

<response>-97, -79, 1, 38, 57</response>