input: Implement bubble sort on -99, -95, 45, 60, -83 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-99, -95, 45, 60, -83]

Pass 1:
  Compare -99 and -95
  No swap needed
  Compare -95 and 45
  No swap needed
  Compare 45 and 60
  No swap needed
  Compare 60 and -83
  Swap 60 and -83
  List after swap: [-99, -95, 45, -83, 60]

Pass 2:
  Compare -99 and -95
  No swap needed
  Compare -95 and 45
  No swap needed
  Compare 45 and -83
  Swap 45 and -83
  List after swap: [-99, -95, -83, 45, 60]

Pass 3:
  Compare -99 and -95
  No swap needed
  Compare -95 and -83
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -95, -83, 45, 60]
</think>

<response>-99, -95, -83, 45, 60</response>


input: Use the bubble sort technique to reorder 11, -16, -53, -62, -82, 80, -41, -49, -27, 72 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [11, -16, -53, -62, -82, 80, -41, -49, -27, 72]

Pass 1:
  Compare 11 and -16
  Swap 11 and -16
  List after swap: [-16, 11, -53, -62, -82, 80, -41, -49, -27, 72]
  Compare 11 and -53
  Swap 11 and -53
  List after swap: [-16, -53, 11, -62, -82, 80, -41, -49, -27, 72]
  Compare 11 and -62
  Swap 11 and -62
  List after swap: [-16, -53, -62, 11, -82, 80, -41, -49, -27, 72]
  Compare 11 and -82
  Swap 11 and -82
  List after swap: [-16, -53, -62, -82, 11, 80, -41, -49, -27, 72]
  Compare 11 and 80
  No swap needed
  Compare 80 and -41
  Swap 80 and -41
  List after swap: [-16, -53, -62, -82, 11, -41, 80, -49, -27, 72]
  Compare 80 and -49
  Swap 80 and -49
  List after swap: [-16, -53, -62, -82, 11, -41, -49, 80, -27, 72]
  Compare 80 and -27
  Swap 80 and -27
  List after swap: [-16, -53, -62, -82, 11, -41, -49, -27, 80, 72]
  Compare 80 and 72
  Swap 80 and 72
  List after swap: [-16, -53, -62, -82, 11, -41, -49, -27, 72, 80]

Pass 2:
  Compare -16 and -53
  Swap -16 and -53
  List after swap: [-53, -16, -62, -82, 11, -41, -49, -27, 72, 80]
  Compare -16 and -62
  Swap -16 and -62
  List after swap: [-53, -62, -16, -82, 11, -41, -49, -27, 72, 80]
  Compare -16 and -82
  Swap -16 and -82
  List after swap: [-53, -62, -82, -16, 11, -41, -49, -27, 72, 80]
  Compare -16 and 11
  No swap needed
  Compare 11 and -41
  Swap 11 and -41
  List after swap: [-53, -62, -82, -16, -41, 11, -49, -27, 72, 80]
  Compare 11 and -49
  Swap 11 and -49
  List after swap: [-53, -62, -82, -16, -41, -49, 11, -27, 72, 80]
  Compare 11 and -27
  Swap 11 and -27
  List after swap: [-53, -62, -82, -16, -41, -49, -27, 11, 72, 80]
  Compare 11 and 72
  No swap needed

Pass 3:
  Compare -53 and -62
  Swap -53 and -62
  List after swap: [-62, -53, -82, -16, -41, -49, -27, 11, 72, 80]
  Compare -53 and -82
  Swap -53 and -82
  List after swap: [-62, -82, -53, -16, -41, -49, -27, 11, 72, 80]
  Compare -53 and -16
  No swap needed
  Compare -16 and -41
  Swap -16 and -41
  List after swap: [-62, -82, -53, -41, -16, -49, -27, 11, 72, 80]
  Compare -16 and -49
  Swap -16 and -49
  List after swap: [-62, -82, -53, -41, -49, -16, -27, 11, 72, 80]
  Compare -16 and -27
  Swap -16 and -27
  List after swap: [-62, -82, -53, -41, -49, -27, -16, 11, 72, 80]
  Compare -16 and 11
  No swap needed

Pass 4:
  Compare -62 and -82
  Swap -62 and -82
  List after swap: [-82, -62, -53, -41, -49, -27, -16, 11, 72, 80]
  Compare -62 and -53
  No swap needed
  Compare -53 and -41
  No swap needed
  Compare -41 and -49
  Swap -41 and -49
  List after swap: [-82, -62, -53, -49, -41, -27, -16, 11, 72, 80]
  Compare -41 and -27
  No swap needed
  Compare -27 and -16
  No swap needed

Pass 5:
  Compare -82 and -62
  No swap needed
  Compare -62 and -53
  No swap needed
  Compare -53 and -49
  No swap needed
  Compare -49 and -41
  No swap needed
  Compare -41 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -62, -53, -49, -41, -27, -16, 11, 72, 80]
</think>

<response>-82, -62, -53, -49, -41, -27, -16, 11, 72, 80</response>


input: Implement bubble sort on 87, 72 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [87, 72]

Pass 1:
  Compare 87 and 72
  Swap 87 and 72
  List after swap: [72, 87]

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

Final sorted list: [72, 87]
</think>

<response>72, 87</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 16, -75.

output:
<think>
Initial list: [16, -75]

Pass 1:
  Compare 16 and -75
  Swap 16 and -75
  List after swap: [-75, 16]

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

Final sorted list: [-75, 16]
</think>

<response>-75, 16</response>


input: Use the bubble sort technique to reorder -22, 99, -46, 7, -20 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-22, 99, -46, 7, -20]

Pass 1:
  Compare -22 and 99
  No swap needed
  Compare 99 and -46
  Swap 99 and -46
  List after swap: [-22, -46, 99, 7, -20]
  Compare 99 and 7
  Swap 99 and 7
  List after swap: [-22, -46, 7, 99, -20]
  Compare 99 and -20
  Swap 99 and -20
  List after swap: [-22, -46, 7, -20, 99]

Pass 2:
  Compare -22 and -46
  Swap -22 and -46
  List after swap: [-46, -22, 7, -20, 99]
  Compare -22 and 7
  No swap needed
  Compare 7 and -20
  Swap 7 and -20
  List after swap: [-46, -22, -20, 7, 99]

Pass 3:
  Compare -46 and -22
  No swap needed
  Compare -22 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-46, -22, -20, 7, 99]
</think>

<response>-46, -22, -20, 7, 99</response>


input: Execute bubble sort to sort -96, -47, 1, 20 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-96, -47, 1, 20]

Pass 1:
  Compare -96 and -47
  No swap needed
  Compare -47 and 1
  No swap needed
  Compare 1 and 20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -47, 1, 20]
</think>

<response>-96, -47, 1, 20</response>


input: Execute bubble sort to sort -7, 89, 61, -70 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-7, 89, 61, -70]

Pass 1:
  Compare -7 and 89
  No swap needed
  Compare 89 and 61
  Swap 89 and 61
  List after swap: [-7, 61, 89, -70]
  Compare 89 and -70
  Swap 89 and -70
  List after swap: [-7, 61, -70, 89]

Pass 2:
  Compare -7 and 61
  No swap needed
  Compare 61 and -70
  Swap 61 and -70
  List after swap: [-7, -70, 61, 89]

Pass 3:
  Compare -7 and -70
  Swap -7 and -70
  List after swap: [-70, -7, 61, 89]

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

Final sorted list: [-70, -7, 61, 89]
</think>

<response>-70, -7, 61, 89</response>


input: Demonstrate how bubble sort orders the integers -88, -80 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-88, -80]

Pass 1:
  Compare -88 and -80
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -80]
</think>

<response>-88, -80</response>


input: Using the bubble sort method, sort 44, -95, -93, -44, 79, -98, 95, -85, 4 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [44, -95, -93, -44, 79, -98, 95, -85, 4]

Pass 1:
  Compare 44 and -95
  Swap 44 and -95
  List after swap: [-95, 44, -93, -44, 79, -98, 95, -85, 4]
  Compare 44 and -93
  Swap 44 and -93
  List after swap: [-95, -93, 44, -44, 79, -98, 95, -85, 4]
  Compare 44 and -44
  Swap 44 and -44
  List after swap: [-95, -93, -44, 44, 79, -98, 95, -85, 4]
  Compare 44 and 79
  No swap needed
  Compare 79 and -98
  Swap 79 and -98
  List after swap: [-95, -93, -44, 44, -98, 79, 95, -85, 4]
  Compare 79 and 95
  No swap needed
  Compare 95 and -85
  Swap 95 and -85
  List after swap: [-95, -93, -44, 44, -98, 79, -85, 95, 4]
  Compare 95 and 4
  Swap 95 and 4
  List after swap: [-95, -93, -44, 44, -98, 79, -85, 4, 95]

Pass 2:
  Compare -95 and -93
  No swap needed
  Compare -93 and -44
  No swap needed
  Compare -44 and 44
  No swap needed
  Compare 44 and -98
  Swap 44 and -98
  List after swap: [-95, -93, -44, -98, 44, 79, -85, 4, 95]
  Compare 44 and 79
  No swap needed
  Compare 79 and -85
  Swap 79 and -85
  List after swap: [-95, -93, -44, -98, 44, -85, 79, 4, 95]
  Compare 79 and 4
  Swap 79 and 4
  List after swap: [-95, -93, -44, -98, 44, -85, 4, 79, 95]

Pass 3:
  Compare -95 and -93
  No swap needed
  Compare -93 and -44
  No swap needed
  Compare -44 and -98
  Swap -44 and -98
  List after swap: [-95, -93, -98, -44, 44, -85, 4, 79, 95]
  Compare -44 and 44
  No swap needed
  Compare 44 and -85
  Swap 44 and -85
  List after swap: [-95, -93, -98, -44, -85, 44, 4, 79, 95]
  Compare 44 and 4
  Swap 44 and 4
  List after swap: [-95, -93, -98, -44, -85, 4, 44, 79, 95]

Pass 4:
  Compare -95 and -93
  No swap needed
  Compare -93 and -98
  Swap -93 and -98
  List after swap: [-95, -98, -93, -44, -85, 4, 44, 79, 95]
  Compare -93 and -44
  No swap needed
  Compare -44 and -85
  Swap -44 and -85
  List after swap: [-95, -98, -93, -85, -44, 4, 44, 79, 95]
  Compare -44 and 4
  No swap needed

Pass 5:
  Compare -95 and -98
  Swap -95 and -98
  List after swap: [-98, -95, -93, -85, -44, 4, 44, 79, 95]
  Compare -95 and -93
  No swap needed
  Compare -93 and -85
  No swap needed
  Compare -85 and -44
  No swap needed

Pass 6:
  Compare -98 and -95
  No swap needed
  Compare -95 and -93
  No swap needed
  Compare -93 and -85
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -95, -93, -85, -44, 4, 44, 79, 95]
</think>

<response>-98, -95, -93, -85, -44, 4, 44, 79, 95</response>


input: Sort these integers 74, 94, 16, -99, -15 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [74, 94, 16, -99, -15]

Pass 1:
  Compare 74 and 94
  No swap needed
  Compare 94 and 16
  Swap 94 and 16
  List after swap: [74, 16, 94, -99, -15]
  Compare 94 and -99
  Swap 94 and -99
  List after swap: [74, 16, -99, 94, -15]
  Compare 94 and -15
  Swap 94 and -15
  List after swap: [74, 16, -99, -15, 94]

Pass 2:
  Compare 74 and 16
  Swap 74 and 16
  List after swap: [16, 74, -99, -15, 94]
  Compare 74 and -99
  Swap 74 and -99
  List after swap: [16, -99, 74, -15, 94]
  Compare 74 and -15
  Swap 74 and -15
  List after swap: [16, -99, -15, 74, 94]

Pass 3:
  Compare 16 and -99
  Swap 16 and -99
  List after swap: [-99, 16, -15, 74, 94]
  Compare 16 and -15
  Swap 16 and -15
  List after swap: [-99, -15, 16, 74, 94]

Pass 4:
  Compare -99 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -15, 16, 74, 94]
</think>

<response>-99, -15, 16, 74, 94</response>


input: Execute bubble sort to sort -59, -88, -30, -92, 96, 58, 25, -51, 20, -21 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-59, -88, -30, -92, 96, 58, 25, -51, 20, -21]

Pass 1:
  Compare -59 and -88
  Swap -59 and -88
  List after swap: [-88, -59, -30, -92, 96, 58, 25, -51, 20, -21]
  Compare -59 and -30
  No swap needed
  Compare -30 and -92
  Swap -30 and -92
  List after swap: [-88, -59, -92, -30, 96, 58, 25, -51, 20, -21]
  Compare -30 and 96
  No swap needed
  Compare 96 and 58
  Swap 96 and 58
  List after swap: [-88, -59, -92, -30, 58, 96, 25, -51, 20, -21]
  Compare 96 and 25
  Swap 96 and 25
  List after swap: [-88, -59, -92, -30, 58, 25, 96, -51, 20, -21]
  Compare 96 and -51
  Swap 96 and -51
  List after swap: [-88, -59, -92, -30, 58, 25, -51, 96, 20, -21]
  Compare 96 and 20
  Swap 96 and 20
  List after swap: [-88, -59, -92, -30, 58, 25, -51, 20, 96, -21]
  Compare 96 and -21
  Swap 96 and -21
  List after swap: [-88, -59, -92, -30, 58, 25, -51, 20, -21, 96]

Pass 2:
  Compare -88 and -59
  No swap needed
  Compare -59 and -92
  Swap -59 and -92
  List after swap: [-88, -92, -59, -30, 58, 25, -51, 20, -21, 96]
  Compare -59 and -30
  No swap needed
  Compare -30 and 58
  No swap needed
  Compare 58 and 25
  Swap 58 and 25
  List after swap: [-88, -92, -59, -30, 25, 58, -51, 20, -21, 96]
  Compare 58 and -51
  Swap 58 and -51
  List after swap: [-88, -92, -59, -30, 25, -51, 58, 20, -21, 96]
  Compare 58 and 20
  Swap 58 and 20
  List after swap: [-88, -92, -59, -30, 25, -51, 20, 58, -21, 96]
  Compare 58 and -21
  Swap 58 and -21
  List after swap: [-88, -92, -59, -30, 25, -51, 20, -21, 58, 96]

Pass 3:
  Compare -88 and -92
  Swap -88 and -92
  List after swap: [-92, -88, -59, -30, 25, -51, 20, -21, 58, 96]
  Compare -88 and -59
  No swap needed
  Compare -59 and -30
  No swap needed
  Compare -30 and 25
  No swap needed
  Compare 25 and -51
  Swap 25 and -51
  List after swap: [-92, -88, -59, -30, -51, 25, 20, -21, 58, 96]
  Compare 25 and 20
  Swap 25 and 20
  List after swap: [-92, -88, -59, -30, -51, 20, 25, -21, 58, 96]
  Compare 25 and -21
  Swap 25 and -21
  List after swap: [-92, -88, -59, -30, -51, 20, -21, 25, 58, 96]

Pass 4:
  Compare -92 and -88
  No swap needed
  Compare -88 and -59
  No swap needed
  Compare -59 and -30
  No swap needed
  Compare -30 and -51
  Swap -30 and -51
  List after swap: [-92, -88, -59, -51, -30, 20, -21, 25, 58, 96]
  Compare -30 and 20
  No swap needed
  Compare 20 and -21
  Swap 20 and -21
  List after swap: [-92, -88, -59, -51, -30, -21, 20, 25, 58, 96]

Pass 5:
  Compare -92 and -88
  No swap needed
  Compare -88 and -59
  No swap needed
  Compare -59 and -51
  No swap needed
  Compare -51 and -30
  No swap needed
  Compare -30 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -88, -59, -51, -30, -21, 20, 25, 58, 96]
</think>

<response>-92, -88, -59, -51, -30, -21, 20, 25, 58, 96</response>


input: Use the bubble sort technique to reorder 82, 1, -86, -96, -71, -100, 33, -41, 64, -36 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [82, 1, -86, -96, -71, -100, 33, -41, 64, -36]

Pass 1:
  Compare 82 and 1
  Swap 82 and 1
  List after swap: [1, 82, -86, -96, -71, -100, 33, -41, 64, -36]
  Compare 82 and -86
  Swap 82 and -86
  List after swap: [1, -86, 82, -96, -71, -100, 33, -41, 64, -36]
  Compare 82 and -96
  Swap 82 and -96
  List after swap: [1, -86, -96, 82, -71, -100, 33, -41, 64, -36]
  Compare 82 and -71
  Swap 82 and -71
  List after swap: [1, -86, -96, -71, 82, -100, 33, -41, 64, -36]
  Compare 82 and -100
  Swap 82 and -100
  List after swap: [1, -86, -96, -71, -100, 82, 33, -41, 64, -36]
  Compare 82 and 33
  Swap 82 and 33
  List after swap: [1, -86, -96, -71, -100, 33, 82, -41, 64, -36]
  Compare 82 and -41
  Swap 82 and -41
  List after swap: [1, -86, -96, -71, -100, 33, -41, 82, 64, -36]
  Compare 82 and 64
  Swap 82 and 64
  List after swap: [1, -86, -96, -71, -100, 33, -41, 64, 82, -36]
  Compare 82 and -36
  Swap 82 and -36
  List after swap: [1, -86, -96, -71, -100, 33, -41, 64, -36, 82]

Pass 2:
  Compare 1 and -86
  Swap 1 and -86
  List after swap: [-86, 1, -96, -71, -100, 33, -41, 64, -36, 82]
  Compare 1 and -96
  Swap 1 and -96
  List after swap: [-86, -96, 1, -71, -100, 33, -41, 64, -36, 82]
  Compare 1 and -71
  Swap 1 and -71
  List after swap: [-86, -96, -71, 1, -100, 33, -41, 64, -36, 82]
  Compare 1 and -100
  Swap 1 and -100
  List after swap: [-86, -96, -71, -100, 1, 33, -41, 64, -36, 82]
  Compare 1 and 33
  No swap needed
  Compare 33 and -41
  Swap 33 and -41
  List after swap: [-86, -96, -71, -100, 1, -41, 33, 64, -36, 82]
  Compare 33 and 64
  No swap needed
  Compare 64 and -36
  Swap 64 and -36
  List after swap: [-86, -96, -71, -100, 1, -41, 33, -36, 64, 82]

Pass 3:
  Compare -86 and -96
  Swap -86 and -96
  List after swap: [-96, -86, -71, -100, 1, -41, 33, -36, 64, 82]
  Compare -86 and -71
  No swap needed
  Compare -71 and -100
  Swap -71 and -100
  List after swap: [-96, -86, -100, -71, 1, -41, 33, -36, 64, 82]
  Compare -71 and 1
  No swap needed
  Compare 1 and -41
  Swap 1 and -41
  List after swap: [-96, -86, -100, -71, -41, 1, 33, -36, 64, 82]
  Compare 1 and 33
  No swap needed
  Compare 33 and -36
  Swap 33 and -36
  List after swap: [-96, -86, -100, -71, -41, 1, -36, 33, 64, 82]

Pass 4:
  Compare -96 and -86
  No swap needed
  Compare -86 and -100
  Swap -86 and -100
  List after swap: [-96, -100, -86, -71, -41, 1, -36, 33, 64, 82]
  Compare -86 and -71
  No swap needed
  Compare -71 and -41
  No swap needed
  Compare -41 and 1
  No swap needed
  Compare 1 and -36
  Swap 1 and -36
  List after swap: [-96, -100, -86, -71, -41, -36, 1, 33, 64, 82]

Pass 5:
  Compare -96 and -100
  Swap -96 and -100
  List after swap: [-100, -96, -86, -71, -41, -36, 1, 33, 64, 82]
  Compare -96 and -86
  No swap needed
  Compare -86 and -71
  No swap needed
  Compare -71 and -41
  No swap needed
  Compare -41 and -36
  No swap needed

Pass 6:
  Compare -100 and -96
  No swap needed
  Compare -96 and -86
  No swap needed
  Compare -86 and -71
  No swap needed
  Compare -71 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -96, -86, -71, -41, -36, 1, 33, 64, 82]
</think>

<response>-100, -96, -86, -71, -41, -36, 1, 33, 64, 82</response>


input: Perform a bubble sort on the integers 16, 53, 8, -59, -27, 39, 70, -24, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [16, 53, 8, -59, -27, 39, 70, -24]

Pass 1:
  Compare 16 and 53
  No swap needed
  Compare 53 and 8
  Swap 53 and 8
  List after swap: [16, 8, 53, -59, -27, 39, 70, -24]
  Compare 53 and -59
  Swap 53 and -59
  List after swap: [16, 8, -59, 53, -27, 39, 70, -24]
  Compare 53 and -27
  Swap 53 and -27
  List after swap: [16, 8, -59, -27, 53, 39, 70, -24]
  Compare 53 and 39
  Swap 53 and 39
  List after swap: [16, 8, -59, -27, 39, 53, 70, -24]
  Compare 53 and 70
  No swap needed
  Compare 70 and -24
  Swap 70 and -24
  List after swap: [16, 8, -59, -27, 39, 53, -24, 70]

Pass 2:
  Compare 16 and 8
  Swap 16 and 8
  List after swap: [8, 16, -59, -27, 39, 53, -24, 70]
  Compare 16 and -59
  Swap 16 and -59
  List after swap: [8, -59, 16, -27, 39, 53, -24, 70]
  Compare 16 and -27
  Swap 16 and -27
  List after swap: [8, -59, -27, 16, 39, 53, -24, 70]
  Compare 16 and 39
  No swap needed
  Compare 39 and 53
  No swap needed
  Compare 53 and -24
  Swap 53 and -24
  List after swap: [8, -59, -27, 16, 39, -24, 53, 70]

Pass 3:
  Compare 8 and -59
  Swap 8 and -59
  List after swap: [-59, 8, -27, 16, 39, -24, 53, 70]
  Compare 8 and -27
  Swap 8 and -27
  List after swap: [-59, -27, 8, 16, 39, -24, 53, 70]
  Compare 8 and 16
  No swap needed
  Compare 16 and 39
  No swap needed
  Compare 39 and -24
  Swap 39 and -24
  List after swap: [-59, -27, 8, 16, -24, 39, 53, 70]

Pass 4:
  Compare -59 and -27
  No swap needed
  Compare -27 and 8
  No swap needed
  Compare 8 and 16
  No swap needed
  Compare 16 and -24
  Swap 16 and -24
  List after swap: [-59, -27, 8, -24, 16, 39, 53, 70]

Pass 5:
  Compare -59 and -27
  No swap needed
  Compare -27 and 8
  No swap needed
  Compare 8 and -24
  Swap 8 and -24
  List after swap: [-59, -27, -24, 8, 16, 39, 53, 70]

Pass 6:
  Compare -59 and -27
  No swap needed
  Compare -27 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, -27, -24, 8, 16, 39, 53, 70]
</think>

<response>-59, -27, -24, 8, 16, 39, 53, 70</response>


input: Implement bubble sort on -35, 68, 38 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-35, 68, 38]

Pass 1:
  Compare -35 and 68
  No swap needed
  Compare 68 and 38
  Swap 68 and 38
  List after swap: [-35, 38, 68]

Pass 2:
  Compare -35 and 38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-35, 38, 68]
</think>

<response>-35, 38, 68</response>


input: Sort the list 62, -86, -36, -90, 98, -88, -82, 57, -81, 14 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [62, -86, -36, -90, 98, -88, -82, 57, -81, 14]

Pass 1:
  Compare 62 and -86
  Swap 62 and -86
  List after swap: [-86, 62, -36, -90, 98, -88, -82, 57, -81, 14]
  Compare 62 and -36
  Swap 62 and -36
  List after swap: [-86, -36, 62, -90, 98, -88, -82, 57, -81, 14]
  Compare 62 and -90
  Swap 62 and -90
  List after swap: [-86, -36, -90, 62, 98, -88, -82, 57, -81, 14]
  Compare 62 and 98
  No swap needed
  Compare 98 and -88
  Swap 98 and -88
  List after swap: [-86, -36, -90, 62, -88, 98, -82, 57, -81, 14]
  Compare 98 and -82
  Swap 98 and -82
  List after swap: [-86, -36, -90, 62, -88, -82, 98, 57, -81, 14]
  Compare 98 and 57
  Swap 98 and 57
  List after swap: [-86, -36, -90, 62, -88, -82, 57, 98, -81, 14]
  Compare 98 and -81
  Swap 98 and -81
  List after swap: [-86, -36, -90, 62, -88, -82, 57, -81, 98, 14]
  Compare 98 and 14
  Swap 98 and 14
  List after swap: [-86, -36, -90, 62, -88, -82, 57, -81, 14, 98]

Pass 2:
  Compare -86 and -36
  No swap needed
  Compare -36 and -90
  Swap -36 and -90
  List after swap: [-86, -90, -36, 62, -88, -82, 57, -81, 14, 98]
  Compare -36 and 62
  No swap needed
  Compare 62 and -88
  Swap 62 and -88
  List after swap: [-86, -90, -36, -88, 62, -82, 57, -81, 14, 98]
  Compare 62 and -82
  Swap 62 and -82
  List after swap: [-86, -90, -36, -88, -82, 62, 57, -81, 14, 98]
  Compare 62 and 57
  Swap 62 and 57
  List after swap: [-86, -90, -36, -88, -82, 57, 62, -81, 14, 98]
  Compare 62 and -81
  Swap 62 and -81
  List after swap: [-86, -90, -36, -88, -82, 57, -81, 62, 14, 98]
  Compare 62 and 14
  Swap 62 and 14
  List after swap: [-86, -90, -36, -88, -82, 57, -81, 14, 62, 98]

Pass 3:
  Compare -86 and -90
  Swap -86 and -90
  List after swap: [-90, -86, -36, -88, -82, 57, -81, 14, 62, 98]
  Compare -86 and -36
  No swap needed
  Compare -36 and -88
  Swap -36 and -88
  List after swap: [-90, -86, -88, -36, -82, 57, -81, 14, 62, 98]
  Compare -36 and -82
  Swap -36 and -82
  List after swap: [-90, -86, -88, -82, -36, 57, -81, 14, 62, 98]
  Compare -36 and 57
  No swap needed
  Compare 57 and -81
  Swap 57 and -81
  List after swap: [-90, -86, -88, -82, -36, -81, 57, 14, 62, 98]
  Compare 57 and 14
  Swap 57 and 14
  List after swap: [-90, -86, -88, -82, -36, -81, 14, 57, 62, 98]

Pass 4:
  Compare -90 and -86
  No swap needed
  Compare -86 and -88
  Swap -86 and -88
  List after swap: [-90, -88, -86, -82, -36, -81, 14, 57, 62, 98]
  Compare -86 and -82
  No swap needed
  Compare -82 and -36
  No swap needed
  Compare -36 and -81
  Swap -36 and -81
  List after swap: [-90, -88, -86, -82, -81, -36, 14, 57, 62, 98]
  Compare -36 and 14
  No swap needed

Pass 5:
  Compare -90 and -88
  No swap needed
  Compare -88 and -86
  No swap needed
  Compare -86 and -82
  No swap needed
  Compare -82 and -81
  No swap needed
  Compare -81 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -88, -86, -82, -81, -36, 14, 57, 62, 98]
</think>

<response>-90, -88, -86, -82, -81, -36, 14, 57, 62, 98</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 9, -7, 42, -84, 65.

output:
<think>
Initial list: [9, -7, 42, -84, 65]

Pass 1:
  Compare 9 and -7
  Swap 9 and -7
  List after swap: [-7, 9, 42, -84, 65]
  Compare 9 and 42
  No swap needed
  Compare 42 and -84
  Swap 42 and -84
  List after swap: [-7, 9, -84, 42, 65]
  Compare 42 and 65
  No swap needed

Pass 2:
  Compare -7 and 9
  No swap needed
  Compare 9 and -84
  Swap 9 and -84
  List after swap: [-7, -84, 9, 42, 65]
  Compare 9 and 42
  No swap needed

Pass 3:
  Compare -7 and -84
  Swap -7 and -84
  List after swap: [-84, -7, 9, 42, 65]
  Compare -7 and 9
  No swap needed

Pass 4:
  Compare -84 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -7, 9, 42, 65]
</think>

<response>-84, -7, 9, 42, 65</response>


input: Arrange the numbers 20, 44, 62, 69, -41, -10, -7, -37, 4 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [20, 44, 62, 69, -41, -10, -7, -37, 4]

Pass 1:
  Compare 20 and 44
  No swap needed
  Compare 44 and 62
  No swap needed
  Compare 62 and 69
  No swap needed
  Compare 69 and -41
  Swap 69 and -41
  List after swap: [20, 44, 62, -41, 69, -10, -7, -37, 4]
  Compare 69 and -10
  Swap 69 and -10
  List after swap: [20, 44, 62, -41, -10, 69, -7, -37, 4]
  Compare 69 and -7
  Swap 69 and -7
  List after swap: [20, 44, 62, -41, -10, -7, 69, -37, 4]
  Compare 69 and -37
  Swap 69 and -37
  List after swap: [20, 44, 62, -41, -10, -7, -37, 69, 4]
  Compare 69 and 4
  Swap 69 and 4
  List after swap: [20, 44, 62, -41, -10, -7, -37, 4, 69]

Pass 2:
  Compare 20 and 44
  No swap needed
  Compare 44 and 62
  No swap needed
  Compare 62 and -41
  Swap 62 and -41
  List after swap: [20, 44, -41, 62, -10, -7, -37, 4, 69]
  Compare 62 and -10
  Swap 62 and -10
  List after swap: [20, 44, -41, -10, 62, -7, -37, 4, 69]
  Compare 62 and -7
  Swap 62 and -7
  List after swap: [20, 44, -41, -10, -7, 62, -37, 4, 69]
  Compare 62 and -37
  Swap 62 and -37
  List after swap: [20, 44, -41, -10, -7, -37, 62, 4, 69]
  Compare 62 and 4
  Swap 62 and 4
  List after swap: [20, 44, -41, -10, -7, -37, 4, 62, 69]

Pass 3:
  Compare 20 and 44
  No swap needed
  Compare 44 and -41
  Swap 44 and -41
  List after swap: [20, -41, 44, -10, -7, -37, 4, 62, 69]
  Compare 44 and -10
  Swap 44 and -10
  List after swap: [20, -41, -10, 44, -7, -37, 4, 62, 69]
  Compare 44 and -7
  Swap 44 and -7
  List after swap: [20, -41, -10, -7, 44, -37, 4, 62, 69]
  Compare 44 and -37
  Swap 44 and -37
  List after swap: [20, -41, -10, -7, -37, 44, 4, 62, 69]
  Compare 44 and 4
  Swap 44 and 4
  List after swap: [20, -41, -10, -7, -37, 4, 44, 62, 69]

Pass 4:
  Compare 20 and -41
  Swap 20 and -41
  List after swap: [-41, 20, -10, -7, -37, 4, 44, 62, 69]
  Compare 20 and -10
  Swap 20 and -10
  List after swap: [-41, -10, 20, -7, -37, 4, 44, 62, 69]
  Compare 20 and -7
  Swap 20 and -7
  List after swap: [-41, -10, -7, 20, -37, 4, 44, 62, 69]
  Compare 20 and -37
  Swap 20 and -37
  List after swap: [-41, -10, -7, -37, 20, 4, 44, 62, 69]
  Compare 20 and 4
  Swap 20 and 4
  List after swap: [-41, -10, -7, -37, 4, 20, 44, 62, 69]

Pass 5:
  Compare -41 and -10
  No swap needed
  Compare -10 and -7
  No swap needed
  Compare -7 and -37
  Swap -7 and -37
  List after swap: [-41, -10, -37, -7, 4, 20, 44, 62, 69]
  Compare -7 and 4
  No swap needed

Pass 6:
  Compare -41 and -10
  No swap needed
  Compare -10 and -37
  Swap -10 and -37
  List after swap: [-41, -37, -10, -7, 4, 20, 44, 62, 69]
  Compare -10 and -7
  No swap needed

Pass 7:
  Compare -41 and -37
  No swap needed
  Compare -37 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-41, -37, -10, -7, 4, 20, 44, 62, 69]
</think>

<response>-41, -37, -10, -7, 4, 20, 44, 62, 69</response>


input: Sort these integers -98, -55, 87, -88, 3, 97, 27, -74, 59 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-98, -55, 87, -88, 3, 97, 27, -74, 59]

Pass 1:
  Compare -98 and -55
  No swap needed
  Compare -55 and 87
  No swap needed
  Compare 87 and -88
  Swap 87 and -88
  List after swap: [-98, -55, -88, 87, 3, 97, 27, -74, 59]
  Compare 87 and 3
  Swap 87 and 3
  List after swap: [-98, -55, -88, 3, 87, 97, 27, -74, 59]
  Compare 87 and 97
  No swap needed
  Compare 97 and 27
  Swap 97 and 27
  List after swap: [-98, -55, -88, 3, 87, 27, 97, -74, 59]
  Compare 97 and -74
  Swap 97 and -74
  List after swap: [-98, -55, -88, 3, 87, 27, -74, 97, 59]
  Compare 97 and 59
  Swap 97 and 59
  List after swap: [-98, -55, -88, 3, 87, 27, -74, 59, 97]

Pass 2:
  Compare -98 and -55
  No swap needed
  Compare -55 and -88
  Swap -55 and -88
  List after swap: [-98, -88, -55, 3, 87, 27, -74, 59, 97]
  Compare -55 and 3
  No swap needed
  Compare 3 and 87
  No swap needed
  Compare 87 and 27
  Swap 87 and 27
  List after swap: [-98, -88, -55, 3, 27, 87, -74, 59, 97]
  Compare 87 and -74
  Swap 87 and -74
  List after swap: [-98, -88, -55, 3, 27, -74, 87, 59, 97]
  Compare 87 and 59
  Swap 87 and 59
  List after swap: [-98, -88, -55, 3, 27, -74, 59, 87, 97]

Pass 3:
  Compare -98 and -88
  No swap needed
  Compare -88 and -55
  No swap needed
  Compare -55 and 3
  No swap needed
  Compare 3 and 27
  No swap needed
  Compare 27 and -74
  Swap 27 and -74
  List after swap: [-98, -88, -55, 3, -74, 27, 59, 87, 97]
  Compare 27 and 59
  No swap needed

Pass 4:
  Compare -98 and -88
  No swap needed
  Compare -88 and -55
  No swap needed
  Compare -55 and 3
  No swap needed
  Compare 3 and -74
  Swap 3 and -74
  List after swap: [-98, -88, -55, -74, 3, 27, 59, 87, 97]
  Compare 3 and 27
  No swap needed

Pass 5:
  Compare -98 and -88
  No swap needed
  Compare -88 and -55
  No swap needed
  Compare -55 and -74
  Swap -55 and -74
  List after swap: [-98, -88, -74, -55, 3, 27, 59, 87, 97]
  Compare -55 and 3
  No swap needed

Pass 6:
  Compare -98 and -88
  No swap needed
  Compare -88 and -74
  No swap needed
  Compare -74 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -88, -74, -55, 3, 27, 59, 87, 97]
</think>

<response>-98, -88, -74, -55, 3, 27, 59, 87, 97</response>


input: Arrange the numbers -35, 1, -36, -63, 20, 41, -9 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-35, 1, -36, -63, 20, 41, -9]

Pass 1:
  Compare -35 and 1
  No swap needed
  Compare 1 and -36
  Swap 1 and -36
  List after swap: [-35, -36, 1, -63, 20, 41, -9]
  Compare 1 and -63
  Swap 1 and -63
  List after swap: [-35, -36, -63, 1, 20, 41, -9]
  Compare 1 and 20
  No swap needed
  Compare 20 and 41
  No swap needed
  Compare 41 and -9
  Swap 41 and -9
  List after swap: [-35, -36, -63, 1, 20, -9, 41]

Pass 2:
  Compare -35 and -36
  Swap -35 and -36
  List after swap: [-36, -35, -63, 1, 20, -9, 41]
  Compare -35 and -63
  Swap -35 and -63
  List after swap: [-36, -63, -35, 1, 20, -9, 41]
  Compare -35 and 1
  No swap needed
  Compare 1 and 20
  No swap needed
  Compare 20 and -9
  Swap 20 and -9
  List after swap: [-36, -63, -35, 1, -9, 20, 41]

Pass 3:
  Compare -36 and -63
  Swap -36 and -63
  List after swap: [-63, -36, -35, 1, -9, 20, 41]
  Compare -36 and -35
  No swap needed
  Compare -35 and 1
  No swap needed
  Compare 1 and -9
  Swap 1 and -9
  List after swap: [-63, -36, -35, -9, 1, 20, 41]

Pass 4:
  Compare -63 and -36
  No swap needed
  Compare -36 and -35
  No swap needed
  Compare -35 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -36, -35, -9, 1, 20, 41]
</think>

<response>-63, -36, -35, -9, 1, 20, 41</response>


input: Carry out the bubble sort algorithm on 98, -27, 47, -12 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [98, -27, 47, -12]

Pass 1:
  Compare 98 and -27
  Swap 98 and -27
  List after swap: [-27, 98, 47, -12]
  Compare 98 and 47
  Swap 98 and 47
  List after swap: [-27, 47, 98, -12]
  Compare 98 and -12
  Swap 98 and -12
  List after swap: [-27, 47, -12, 98]

Pass 2:
  Compare -27 and 47
  No swap needed
  Compare 47 and -12
  Swap 47 and -12
  List after swap: [-27, -12, 47, 98]

Pass 3:
  Compare -27 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-27, -12, 47, 98]
</think>

<response>-27, -12, 47, 98</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 48, 10, 1, 82, -24, 41.

output:
<think>
Initial list: [48, 10, 1, 82, -24, 41]

Pass 1:
  Compare 48 and 10
  Swap 48 and 10
  List after swap: [10, 48, 1, 82, -24, 41]
  Compare 48 and 1
  Swap 48 and 1
  List after swap: [10, 1, 48, 82, -24, 41]
  Compare 48 and 82
  No swap needed
  Compare 82 and -24
  Swap 82 and -24
  List after swap: [10, 1, 48, -24, 82, 41]
  Compare 82 and 41
  Swap 82 and 41
  List after swap: [10, 1, 48, -24, 41, 82]

Pass 2:
  Compare 10 and 1
  Swap 10 and 1
  List after swap: [1, 10, 48, -24, 41, 82]
  Compare 10 and 48
  No swap needed
  Compare 48 and -24
  Swap 48 and -24
  List after swap: [1, 10, -24, 48, 41, 82]
  Compare 48 and 41
  Swap 48 and 41
  List after swap: [1, 10, -24, 41, 48, 82]

Pass 3:
  Compare 1 and 10
  No swap needed
  Compare 10 and -24
  Swap 10 and -24
  List after swap: [1, -24, 10, 41, 48, 82]
  Compare 10 and 41
  No swap needed

Pass 4:
  Compare 1 and -24
  Swap 1 and -24
  List after swap: [-24, 1, 10, 41, 48, 82]
  Compare 1 and 10
  No swap needed

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

Final sorted list: [-24, 1, 10, 41, 48, 82]
</think>

<response>-24, 1, 10, 41, 48, 82</response>


input: Perform a bubble sort on the integers 55, 8, 49, 71, 97, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [55, 8, 49, 71, 97]

Pass 1:
  Compare 55 and 8
  Swap 55 and 8
  List after swap: [8, 55, 49, 71, 97]
  Compare 55 and 49
  Swap 55 and 49
  List after swap: [8, 49, 55, 71, 97]
  Compare 55 and 71
  No swap needed
  Compare 71 and 97
  No swap needed

Pass 2:
  Compare 8 and 49
  No swap needed
  Compare 49 and 55
  No swap needed
  Compare 55 and 71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [8, 49, 55, 71, 97]
</think>

<response>8, 49, 55, 71, 97</response>


input: Use the bubble sort technique to reorder -84, 81, 79, -47, 31, 10, 94, -51, 97 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-84, 81, 79, -47, 31, 10, 94, -51, 97]

Pass 1:
  Compare -84 and 81
  No swap needed
  Compare 81 and 79
  Swap 81 and 79
  List after swap: [-84, 79, 81, -47, 31, 10, 94, -51, 97]
  Compare 81 and -47
  Swap 81 and -47
  List after swap: [-84, 79, -47, 81, 31, 10, 94, -51, 97]
  Compare 81 and 31
  Swap 81 and 31
  List after swap: [-84, 79, -47, 31, 81, 10, 94, -51, 97]
  Compare 81 and 10
  Swap 81 and 10
  List after swap: [-84, 79, -47, 31, 10, 81, 94, -51, 97]
  Compare 81 and 94
  No swap needed
  Compare 94 and -51
  Swap 94 and -51
  List after swap: [-84, 79, -47, 31, 10, 81, -51, 94, 97]
  Compare 94 and 97
  No swap needed

Pass 2:
  Compare -84 and 79
  No swap needed
  Compare 79 and -47
  Swap 79 and -47
  List after swap: [-84, -47, 79, 31, 10, 81, -51, 94, 97]
  Compare 79 and 31
  Swap 79 and 31
  List after swap: [-84, -47, 31, 79, 10, 81, -51, 94, 97]
  Compare 79 and 10
  Swap 79 and 10
  List after swap: [-84, -47, 31, 10, 79, 81, -51, 94, 97]
  Compare 79 and 81
  No swap needed
  Compare 81 and -51
  Swap 81 and -51
  List after swap: [-84, -47, 31, 10, 79, -51, 81, 94, 97]
  Compare 81 and 94
  No swap needed

Pass 3:
  Compare -84 and -47
  No swap needed
  Compare -47 and 31
  No swap needed
  Compare 31 and 10
  Swap 31 and 10
  List after swap: [-84, -47, 10, 31, 79, -51, 81, 94, 97]
  Compare 31 and 79
  No swap needed
  Compare 79 and -51
  Swap 79 and -51
  List after swap: [-84, -47, 10, 31, -51, 79, 81, 94, 97]
  Compare 79 and 81
  No swap needed

Pass 4:
  Compare -84 and -47
  No swap needed
  Compare -47 and 10
  No swap needed
  Compare 10 and 31
  No swap needed
  Compare 31 and -51
  Swap 31 and -51
  List after swap: [-84, -47, 10, -51, 31, 79, 81, 94, 97]
  Compare 31 and 79
  No swap needed

Pass 5:
  Compare -84 and -47
  No swap needed
  Compare -47 and 10
  No swap needed
  Compare 10 and -51
  Swap 10 and -51
  List after swap: [-84, -47, -51, 10, 31, 79, 81, 94, 97]
  Compare 10 and 31
  No swap needed

Pass 6:
  Compare -84 and -47
  No swap needed
  Compare -47 and -51
  Swap -47 and -51
  List after swap: [-84, -51, -47, 10, 31, 79, 81, 94, 97]
  Compare -47 and 10
  No swap needed

Pass 7:
  Compare -84 and -51
  No swap needed
  Compare -51 and -47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -51, -47, 10, 31, 79, 81, 94, 97]
</think>

<response>-84, -51, -47, 10, 31, 79, 81, 94, 97</response>


input: Perform a bubble sort on the integers 12, -8, 18, -36, -69, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [12, -8, 18, -36, -69]

Pass 1:
  Compare 12 and -8
  Swap 12 and -8
  List after swap: [-8, 12, 18, -36, -69]
  Compare 12 and 18
  No swap needed
  Compare 18 and -36
  Swap 18 and -36
  List after swap: [-8, 12, -36, 18, -69]
  Compare 18 and -69
  Swap 18 and -69
  List after swap: [-8, 12, -36, -69, 18]

Pass 2:
  Compare -8 and 12
  No swap needed
  Compare 12 and -36
  Swap 12 and -36
  List after swap: [-8, -36, 12, -69, 18]
  Compare 12 and -69
  Swap 12 and -69
  List after swap: [-8, -36, -69, 12, 18]

Pass 3:
  Compare -8 and -36
  Swap -8 and -36
  List after swap: [-36, -8, -69, 12, 18]
  Compare -8 and -69
  Swap -8 and -69
  List after swap: [-36, -69, -8, 12, 18]

Pass 4:
  Compare -36 and -69
  Swap -36 and -69
  List after swap: [-69, -36, -8, 12, 18]

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

Final sorted list: [-69, -36, -8, 12, 18]
</think>

<response>-69, -36, -8, 12, 18</response>


input: Execute bubble sort to sort -90, 40, 84, 79, -16 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-90, 40, 84, 79, -16]

Pass 1:
  Compare -90 and 40
  No swap needed
  Compare 40 and 84
  No swap needed
  Compare 84 and 79
  Swap 84 and 79
  List after swap: [-90, 40, 79, 84, -16]
  Compare 84 and -16
  Swap 84 and -16
  List after swap: [-90, 40, 79, -16, 84]

Pass 2:
  Compare -90 and 40
  No swap needed
  Compare 40 and 79
  No swap needed
  Compare 79 and -16
  Swap 79 and -16
  List after swap: [-90, 40, -16, 79, 84]

Pass 3:
  Compare -90 and 40
  No swap needed
  Compare 40 and -16
  Swap 40 and -16
  List after swap: [-90, -16, 40, 79, 84]

Pass 4:
  Compare -90 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -16, 40, 79, 84]
</think>

<response>-90, -16, 40, 79, 84</response>


input: Carry out the bubble sort algorithm on 41, -51 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [41, -51]

Pass 1:
  Compare 41 and -51
  Swap 41 and -51
  List after swap: [-51, 41]

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

Final sorted list: [-51, 41]
</think>

<response>-51, 41</response>


input: Arrange the numbers -81, -41, -1, 22 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-81, -41, -1, 22]

Pass 1:
  Compare -81 and -41
  No swap needed
  Compare -41 and -1
  No swap needed
  Compare -1 and 22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -41, -1, 22]
</think>

<response>-81, -41, -1, 22</response>


input: Using the bubble sort method, sort 23, 86 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [23, 86]

Pass 1:
  Compare 23 and 86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [23, 86]
</think>

<response>23, 86</response>


input: Arrange the numbers -68, -32, 76 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-68, -32, 76]

Pass 1:
  Compare -68 and -32
  No swap needed
  Compare -32 and 76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -32, 76]
</think>

<response>-68, -32, 76</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -32, -88, 21, -42, 84, -2, -35, 56.

output:
<think>
Initial list: [-32, -88, 21, -42, 84, -2, -35, 56]

Pass 1:
  Compare -32 and -88
  Swap -32 and -88
  List after swap: [-88, -32, 21, -42, 84, -2, -35, 56]
  Compare -32 and 21
  No swap needed
  Compare 21 and -42
  Swap 21 and -42
  List after swap: [-88, -32, -42, 21, 84, -2, -35, 56]
  Compare 21 and 84
  No swap needed
  Compare 84 and -2
  Swap 84 and -2
  List after swap: [-88, -32, -42, 21, -2, 84, -35, 56]
  Compare 84 and -35
  Swap 84 and -35
  List after swap: [-88, -32, -42, 21, -2, -35, 84, 56]
  Compare 84 and 56
  Swap 84 and 56
  List after swap: [-88, -32, -42, 21, -2, -35, 56, 84]

Pass 2:
  Compare -88 and -32
  No swap needed
  Compare -32 and -42
  Swap -32 and -42
  List after swap: [-88, -42, -32, 21, -2, -35, 56, 84]
  Compare -32 and 21
  No swap needed
  Compare 21 and -2
  Swap 21 and -2
  List after swap: [-88, -42, -32, -2, 21, -35, 56, 84]
  Compare 21 and -35
  Swap 21 and -35
  List after swap: [-88, -42, -32, -2, -35, 21, 56, 84]
  Compare 21 and 56
  No swap needed

Pass 3:
  Compare -88 and -42
  No swap needed
  Compare -42 and -32
  No swap needed
  Compare -32 and -2
  No swap needed
  Compare -2 and -35
  Swap -2 and -35
  List after swap: [-88, -42, -32, -35, -2, 21, 56, 84]
  Compare -2 and 21
  No swap needed

Pass 4:
  Compare -88 and -42
  No swap needed
  Compare -42 and -32
  No swap needed
  Compare -32 and -35
  Swap -32 and -35
  List after swap: [-88, -42, -35, -32, -2, 21, 56, 84]
  Compare -32 and -2
  No swap needed

Pass 5:
  Compare -88 and -42
  No swap needed
  Compare -42 and -35
  No swap needed
  Compare -35 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -42, -35, -32, -2, 21, 56, 84]
</think>

<response>-88, -42, -35, -32, -2, 21, 56, 84</response>


input: Use the bubble sort technique to reorder 25, 44, -78, 97, 60, 9, 15, -2, 58 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [25, 44, -78, 97, 60, 9, 15, -2, 58]

Pass 1:
  Compare 25 and 44
  No swap needed
  Compare 44 and -78
  Swap 44 and -78
  List after swap: [25, -78, 44, 97, 60, 9, 15, -2, 58]
  Compare 44 and 97
  No swap needed
  Compare 97 and 60
  Swap 97 and 60
  List after swap: [25, -78, 44, 60, 97, 9, 15, -2, 58]
  Compare 97 and 9
  Swap 97 and 9
  List after swap: [25, -78, 44, 60, 9, 97, 15, -2, 58]
  Compare 97 and 15
  Swap 97 and 15
  List after swap: [25, -78, 44, 60, 9, 15, 97, -2, 58]
  Compare 97 and -2
  Swap 97 and -2
  List after swap: [25, -78, 44, 60, 9, 15, -2, 97, 58]
  Compare 97 and 58
  Swap 97 and 58
  List after swap: [25, -78, 44, 60, 9, 15, -2, 58, 97]

Pass 2:
  Compare 25 and -78
  Swap 25 and -78
  List after swap: [-78, 25, 44, 60, 9, 15, -2, 58, 97]
  Compare 25 and 44
  No swap needed
  Compare 44 and 60
  No swap needed
  Compare 60 and 9
  Swap 60 and 9
  List after swap: [-78, 25, 44, 9, 60, 15, -2, 58, 97]
  Compare 60 and 15
  Swap 60 and 15
  List after swap: [-78, 25, 44, 9, 15, 60, -2, 58, 97]
  Compare 60 and -2
  Swap 60 and -2
  List after swap: [-78, 25, 44, 9, 15, -2, 60, 58, 97]
  Compare 60 and 58
  Swap 60 and 58
  List after swap: [-78, 25, 44, 9, 15, -2, 58, 60, 97]

Pass 3:
  Compare -78 and 25
  No swap needed
  Compare 25 and 44
  No swap needed
  Compare 44 and 9
  Swap 44 and 9
  List after swap: [-78, 25, 9, 44, 15, -2, 58, 60, 97]
  Compare 44 and 15
  Swap 44 and 15
  List after swap: [-78, 25, 9, 15, 44, -2, 58, 60, 97]
  Compare 44 and -2
  Swap 44 and -2
  List after swap: [-78, 25, 9, 15, -2, 44, 58, 60, 97]
  Compare 44 and 58
  No swap needed

Pass 4:
  Compare -78 and 25
  No swap needed
  Compare 25 and 9
  Swap 25 and 9
  List after swap: [-78, 9, 25, 15, -2, 44, 58, 60, 97]
  Compare 25 and 15
  Swap 25 and 15
  List after swap: [-78, 9, 15, 25, -2, 44, 58, 60, 97]
  Compare 25 and -2
  Swap 25 and -2
  List after swap: [-78, 9, 15, -2, 25, 44, 58, 60, 97]
  Compare 25 and 44
  No swap needed

Pass 5:
  Compare -78 and 9
  No swap needed
  Compare 9 and 15
  No swap needed
  Compare 15 and -2
  Swap 15 and -2
  List after swap: [-78, 9, -2, 15, 25, 44, 58, 60, 97]
  Compare 15 and 25
  No swap needed

Pass 6:
  Compare -78 and 9
  No swap needed
  Compare 9 and -2
  Swap 9 and -2
  List after swap: [-78, -2, 9, 15, 25, 44, 58, 60, 97]
  Compare 9 and 15
  No swap needed

Pass 7:
  Compare -78 and -2
  No swap needed
  Compare -2 and 9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -2, 9, 15, 25, 44, 58, 60, 97]
</think>

<response>-78, -2, 9, 15, 25, 44, 58, 60, 97</response>


input: Sort these integers -57, -2, 40 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-57, -2, 40]

Pass 1:
  Compare -57 and -2
  No swap needed
  Compare -2 and 40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -2, 40]
</think>

<response>-57, -2, 40</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -71, 17, -38, -44, -26, -100, 93.

output:
<think>
Initial list: [-71, 17, -38, -44, -26, -100, 93]

Pass 1:
  Compare -71 and 17
  No swap needed
  Compare 17 and -38
  Swap 17 and -38
  List after swap: [-71, -38, 17, -44, -26, -100, 93]
  Compare 17 and -44
  Swap 17 and -44
  List after swap: [-71, -38, -44, 17, -26, -100, 93]
  Compare 17 and -26
  Swap 17 and -26
  List after swap: [-71, -38, -44, -26, 17, -100, 93]
  Compare 17 and -100
  Swap 17 and -100
  List after swap: [-71, -38, -44, -26, -100, 17, 93]
  Compare 17 and 93
  No swap needed

Pass 2:
  Compare -71 and -38
  No swap needed
  Compare -38 and -44
  Swap -38 and -44
  List after swap: [-71, -44, -38, -26, -100, 17, 93]
  Compare -38 and -26
  No swap needed
  Compare -26 and -100
  Swap -26 and -100
  List after swap: [-71, -44, -38, -100, -26, 17, 93]
  Compare -26 and 17
  No swap needed

Pass 3:
  Compare -71 and -44
  No swap needed
  Compare -44 and -38
  No swap needed
  Compare -38 and -100
  Swap -38 and -100
  List after swap: [-71, -44, -100, -38, -26, 17, 93]
  Compare -38 and -26
  No swap needed

Pass 4:
  Compare -71 and -44
  No swap needed
  Compare -44 and -100
  Swap -44 and -100
  List after swap: [-71, -100, -44, -38, -26, 17, 93]
  Compare -44 and -38
  No swap needed

Pass 5:
  Compare -71 and -100
  Swap -71 and -100
  List after swap: [-100, -71, -44, -38, -26, 17, 93]
  Compare -71 and -44
  No swap needed

Pass 6:
  Compare -100 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -71, -44, -38, -26, 17, 93]
</think>

<response>-100, -71, -44, -38, -26, 17, 93</response>


input: Sort the list -4, -2, 63, 84, -64, 2, 86, -12 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-4, -2, 63, 84, -64, 2, 86, -12]

Pass 1:
  Compare -4 and -2
  No swap needed
  Compare -2 and 63
  No swap needed
  Compare 63 and 84
  No swap needed
  Compare 84 and -64
  Swap 84 and -64
  List after swap: [-4, -2, 63, -64, 84, 2, 86, -12]
  Compare 84 and 2
  Swap 84 and 2
  List after swap: [-4, -2, 63, -64, 2, 84, 86, -12]
  Compare 84 and 86
  No swap needed
  Compare 86 and -12
  Swap 86 and -12
  List after swap: [-4, -2, 63, -64, 2, 84, -12, 86]

Pass 2:
  Compare -4 and -2
  No swap needed
  Compare -2 and 63
  No swap needed
  Compare 63 and -64
  Swap 63 and -64
  List after swap: [-4, -2, -64, 63, 2, 84, -12, 86]
  Compare 63 and 2
  Swap 63 and 2
  List after swap: [-4, -2, -64, 2, 63, 84, -12, 86]
  Compare 63 and 84
  No swap needed
  Compare 84 and -12
  Swap 84 and -12
  List after swap: [-4, -2, -64, 2, 63, -12, 84, 86]

Pass 3:
  Compare -4 and -2
  No swap needed
  Compare -2 and -64
  Swap -2 and -64
  List after swap: [-4, -64, -2, 2, 63, -12, 84, 86]
  Compare -2 and 2
  No swap needed
  Compare 2 and 63
  No swap needed
  Compare 63 and -12
  Swap 63 and -12
  List after swap: [-4, -64, -2, 2, -12, 63, 84, 86]

Pass 4:
  Compare -4 and -64
  Swap -4 and -64
  List after swap: [-64, -4, -2, 2, -12, 63, 84, 86]
  Compare -4 and -2
  No swap needed
  Compare -2 and 2
  No swap needed
  Compare 2 and -12
  Swap 2 and -12
  List after swap: [-64, -4, -2, -12, 2, 63, 84, 86]

Pass 5:
  Compare -64 and -4
  No swap needed
  Compare -4 and -2
  No swap needed
  Compare -2 and -12
  Swap -2 and -12
  List after swap: [-64, -4, -12, -2, 2, 63, 84, 86]

Pass 6:
  Compare -64 and -4
  No swap needed
  Compare -4 and -12
  Swap -4 and -12
  List after swap: [-64, -12, -4, -2, 2, 63, 84, 86]

Pass 7:
  Compare -64 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -12, -4, -2, 2, 63, 84, 86]
</think>

<response>-64, -12, -4, -2, 2, 63, 84, 86</response>


input: Perform a bubble sort on the integers 41, 87, -32, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [41, 87, -32]

Pass 1:
  Compare 41 and 87
  No swap needed
  Compare 87 and -32
  Swap 87 and -32
  List after swap: [41, -32, 87]

Pass 2:
  Compare 41 and -32
  Swap 41 and -32
  List after swap: [-32, 41, 87]

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

Final sorted list: [-32, 41, 87]
</think>

<response>-32, 41, 87</response>


input: Implement bubble sort on 66, 75, 55, 58, 62, 95, -17, 90, 47 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [66, 75, 55, 58, 62, 95, -17, 90, 47]

Pass 1:
  Compare 66 and 75
  No swap needed
  Compare 75 and 55
  Swap 75 and 55
  List after swap: [66, 55, 75, 58, 62, 95, -17, 90, 47]
  Compare 75 and 58
  Swap 75 and 58
  List after swap: [66, 55, 58, 75, 62, 95, -17, 90, 47]
  Compare 75 and 62
  Swap 75 and 62
  List after swap: [66, 55, 58, 62, 75, 95, -17, 90, 47]
  Compare 75 and 95
  No swap needed
  Compare 95 and -17
  Swap 95 and -17
  List after swap: [66, 55, 58, 62, 75, -17, 95, 90, 47]
  Compare 95 and 90
  Swap 95 and 90
  List after swap: [66, 55, 58, 62, 75, -17, 90, 95, 47]
  Compare 95 and 47
  Swap 95 and 47
  List after swap: [66, 55, 58, 62, 75, -17, 90, 47, 95]

Pass 2:
  Compare 66 and 55
  Swap 66 and 55
  List after swap: [55, 66, 58, 62, 75, -17, 90, 47, 95]
  Compare 66 and 58
  Swap 66 and 58
  List after swap: [55, 58, 66, 62, 75, -17, 90, 47, 95]
  Compare 66 and 62
  Swap 66 and 62
  List after swap: [55, 58, 62, 66, 75, -17, 90, 47, 95]
  Compare 66 and 75
  No swap needed
  Compare 75 and -17
  Swap 75 and -17
  List after swap: [55, 58, 62, 66, -17, 75, 90, 47, 95]
  Compare 75 and 90
  No swap needed
  Compare 90 and 47
  Swap 90 and 47
  List after swap: [55, 58, 62, 66, -17, 75, 47, 90, 95]

Pass 3:
  Compare 55 and 58
  No swap needed
  Compare 58 and 62
  No swap needed
  Compare 62 and 66
  No swap needed
  Compare 66 and -17
  Swap 66 and -17
  List after swap: [55, 58, 62, -17, 66, 75, 47, 90, 95]
  Compare 66 and 75
  No swap needed
  Compare 75 and 47
  Swap 75 and 47
  List after swap: [55, 58, 62, -17, 66, 47, 75, 90, 95]

Pass 4:
  Compare 55 and 58
  No swap needed
  Compare 58 and 62
  No swap needed
  Compare 62 and -17
  Swap 62 and -17
  List after swap: [55, 58, -17, 62, 66, 47, 75, 90, 95]
  Compare 62 and 66
  No swap needed
  Compare 66 and 47
  Swap 66 and 47
  List after swap: [55, 58, -17, 62, 47, 66, 75, 90, 95]

Pass 5:
  Compare 55 and 58
  No swap needed
  Compare 58 and -17
  Swap 58 and -17
  List after swap: [55, -17, 58, 62, 47, 66, 75, 90, 95]
  Compare 58 and 62
  No swap needed
  Compare 62 and 47
  Swap 62 and 47
  List after swap: [55, -17, 58, 47, 62, 66, 75, 90, 95]

Pass 6:
  Compare 55 and -17
  Swap 55 and -17
  List after swap: [-17, 55, 58, 47, 62, 66, 75, 90, 95]
  Compare 55 and 58
  No swap needed
  Compare 58 and 47
  Swap 58 and 47
  List after swap: [-17, 55, 47, 58, 62, 66, 75, 90, 95]

Pass 7:
  Compare -17 and 55
  No swap needed
  Compare 55 and 47
  Swap 55 and 47
  List after swap: [-17, 47, 55, 58, 62, 66, 75, 90, 95]

Pass 8:
  Compare -17 and 47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-17, 47, 55, 58, 62, 66, 75, 90, 95]
</think>

<response>-17, 47, 55, 58, 62, 66, 75, 90, 95</response>


input: Using the bubble sort method, sort -34, -56, 18, 84, 83, -87, -16 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-34, -56, 18, 84, 83, -87, -16]

Pass 1:
  Compare -34 and -56
  Swap -34 and -56
  List after swap: [-56, -34, 18, 84, 83, -87, -16]
  Compare -34 and 18
  No swap needed
  Compare 18 and 84
  No swap needed
  Compare 84 and 83
  Swap 84 and 83
  List after swap: [-56, -34, 18, 83, 84, -87, -16]
  Compare 84 and -87
  Swap 84 and -87
  List after swap: [-56, -34, 18, 83, -87, 84, -16]
  Compare 84 and -16
  Swap 84 and -16
  List after swap: [-56, -34, 18, 83, -87, -16, 84]

Pass 2:
  Compare -56 and -34
  No swap needed
  Compare -34 and 18
  No swap needed
  Compare 18 and 83
  No swap needed
  Compare 83 and -87
  Swap 83 and -87
  List after swap: [-56, -34, 18, -87, 83, -16, 84]
  Compare 83 and -16
  Swap 83 and -16
  List after swap: [-56, -34, 18, -87, -16, 83, 84]

Pass 3:
  Compare -56 and -34
  No swap needed
  Compare -34 and 18
  No swap needed
  Compare 18 and -87
  Swap 18 and -87
  List after swap: [-56, -34, -87, 18, -16, 83, 84]
  Compare 18 and -16
  Swap 18 and -16
  List after swap: [-56, -34, -87, -16, 18, 83, 84]

Pass 4:
  Compare -56 and -34
  No swap needed
  Compare -34 and -87
  Swap -34 and -87
  List after swap: [-56, -87, -34, -16, 18, 83, 84]
  Compare -34 and -16
  No swap needed

Pass 5:
  Compare -56 and -87
  Swap -56 and -87
  List after swap: [-87, -56, -34, -16, 18, 83, 84]
  Compare -56 and -34
  No swap needed

Pass 6:
  Compare -87 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -56, -34, -16, 18, 83, 84]
</think>

<response>-87, -56, -34, -16, 18, 83, 84</response>


input: Sort the list -27, -83, 78, 24, -57, -10 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-27, -83, 78, 24, -57, -10]

Pass 1:
  Compare -27 and -83
  Swap -27 and -83
  List after swap: [-83, -27, 78, 24, -57, -10]
  Compare -27 and 78
  No swap needed
  Compare 78 and 24
  Swap 78 and 24
  List after swap: [-83, -27, 24, 78, -57, -10]
  Compare 78 and -57
  Swap 78 and -57
  List after swap: [-83, -27, 24, -57, 78, -10]
  Compare 78 and -10
  Swap 78 and -10
  List after swap: [-83, -27, 24, -57, -10, 78]

Pass 2:
  Compare -83 and -27
  No swap needed
  Compare -27 and 24
  No swap needed
  Compare 24 and -57
  Swap 24 and -57
  List after swap: [-83, -27, -57, 24, -10, 78]
  Compare 24 and -10
  Swap 24 and -10
  List after swap: [-83, -27, -57, -10, 24, 78]

Pass 3:
  Compare -83 and -27
  No swap needed
  Compare -27 and -57
  Swap -27 and -57
  List after swap: [-83, -57, -27, -10, 24, 78]
  Compare -27 and -10
  No swap needed

Pass 4:
  Compare -83 and -57
  No swap needed
  Compare -57 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -57, -27, -10, 24, 78]
</think>

<response>-83, -57, -27, -10, 24, 78</response>


input: Perform a bubble sort on the integers 50, 36, 48, -61, -52, 55, -79, -63, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [50, 36, 48, -61, -52, 55, -79, -63]

Pass 1:
  Compare 50 and 36
  Swap 50 and 36
  List after swap: [36, 50, 48, -61, -52, 55, -79, -63]
  Compare 50 and 48
  Swap 50 and 48
  List after swap: [36, 48, 50, -61, -52, 55, -79, -63]
  Compare 50 and -61
  Swap 50 and -61
  List after swap: [36, 48, -61, 50, -52, 55, -79, -63]
  Compare 50 and -52
  Swap 50 and -52
  List after swap: [36, 48, -61, -52, 50, 55, -79, -63]
  Compare 50 and 55
  No swap needed
  Compare 55 and -79
  Swap 55 and -79
  List after swap: [36, 48, -61, -52, 50, -79, 55, -63]
  Compare 55 and -63
  Swap 55 and -63
  List after swap: [36, 48, -61, -52, 50, -79, -63, 55]

Pass 2:
  Compare 36 and 48
  No swap needed
  Compare 48 and -61
  Swap 48 and -61
  List after swap: [36, -61, 48, -52, 50, -79, -63, 55]
  Compare 48 and -52
  Swap 48 and -52
  List after swap: [36, -61, -52, 48, 50, -79, -63, 55]
  Compare 48 and 50
  No swap needed
  Compare 50 and -79
  Swap 50 and -79
  List after swap: [36, -61, -52, 48, -79, 50, -63, 55]
  Compare 50 and -63
  Swap 50 and -63
  List after swap: [36, -61, -52, 48, -79, -63, 50, 55]

Pass 3:
  Compare 36 and -61
  Swap 36 and -61
  List after swap: [-61, 36, -52, 48, -79, -63, 50, 55]
  Compare 36 and -52
  Swap 36 and -52
  List after swap: [-61, -52, 36, 48, -79, -63, 50, 55]
  Compare 36 and 48
  No swap needed
  Compare 48 and -79
  Swap 48 and -79
  List after swap: [-61, -52, 36, -79, 48, -63, 50, 55]
  Compare 48 and -63
  Swap 48 and -63
  List after swap: [-61, -52, 36, -79, -63, 48, 50, 55]

Pass 4:
  Compare -61 and -52
  No swap needed
  Compare -52 and 36
  No swap needed
  Compare 36 and -79
  Swap 36 and -79
  List after swap: [-61, -52, -79, 36, -63, 48, 50, 55]
  Compare 36 and -63
  Swap 36 and -63
  List after swap: [-61, -52, -79, -63, 36, 48, 50, 55]

Pass 5:
  Compare -61 and -52
  No swap needed
  Compare -52 and -79
  Swap -52 and -79
  List after swap: [-61, -79, -52, -63, 36, 48, 50, 55]
  Compare -52 and -63
  Swap -52 and -63
  List after swap: [-61, -79, -63, -52, 36, 48, 50, 55]

Pass 6:
  Compare -61 and -79
  Swap -61 and -79
  List after swap: [-79, -61, -63, -52, 36, 48, 50, 55]
  Compare -61 and -63
  Swap -61 and -63
  List after swap: [-79, -63, -61, -52, 36, 48, 50, 55]

Pass 7:
  Compare -79 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -63, -61, -52, 36, 48, 50, 55]
</think>

<response>-79, -63, -61, -52, 36, 48, 50, 55</response>


input: Sort the list -48, 77, 39, -55, 73, -15, -50, -25, 76, -42 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-48, 77, 39, -55, 73, -15, -50, -25, 76, -42]

Pass 1:
  Compare -48 and 77
  No swap needed
  Compare 77 and 39
  Swap 77 and 39
  List after swap: [-48, 39, 77, -55, 73, -15, -50, -25, 76, -42]
  Compare 77 and -55
  Swap 77 and -55
  List after swap: [-48, 39, -55, 77, 73, -15, -50, -25, 76, -42]
  Compare 77 and 73
  Swap 77 and 73
  List after swap: [-48, 39, -55, 73, 77, -15, -50, -25, 76, -42]
  Compare 77 and -15
  Swap 77 and -15
  List after swap: [-48, 39, -55, 73, -15, 77, -50, -25, 76, -42]
  Compare 77 and -50
  Swap 77 and -50
  List after swap: [-48, 39, -55, 73, -15, -50, 77, -25, 76, -42]
  Compare 77 and -25
  Swap 77 and -25
  List after swap: [-48, 39, -55, 73, -15, -50, -25, 77, 76, -42]
  Compare 77 and 76
  Swap 77 and 76
  List after swap: [-48, 39, -55, 73, -15, -50, -25, 76, 77, -42]
  Compare 77 and -42
  Swap 77 and -42
  List after swap: [-48, 39, -55, 73, -15, -50, -25, 76, -42, 77]

Pass 2:
  Compare -48 and 39
  No swap needed
  Compare 39 and -55
  Swap 39 and -55
  List after swap: [-48, -55, 39, 73, -15, -50, -25, 76, -42, 77]
  Compare 39 and 73
  No swap needed
  Compare 73 and -15
  Swap 73 and -15
  List after swap: [-48, -55, 39, -15, 73, -50, -25, 76, -42, 77]
  Compare 73 and -50
  Swap 73 and -50
  List after swap: [-48, -55, 39, -15, -50, 73, -25, 76, -42, 77]
  Compare 73 and -25
  Swap 73 and -25
  List after swap: [-48, -55, 39, -15, -50, -25, 73, 76, -42, 77]
  Compare 73 and 76
  No swap needed
  Compare 76 and -42
  Swap 76 and -42
  List after swap: [-48, -55, 39, -15, -50, -25, 73, -42, 76, 77]

Pass 3:
  Compare -48 and -55
  Swap -48 and -55
  List after swap: [-55, -48, 39, -15, -50, -25, 73, -42, 76, 77]
  Compare -48 and 39
  No swap needed
  Compare 39 and -15
  Swap 39 and -15
  List after swap: [-55, -48, -15, 39, -50, -25, 73, -42, 76, 77]
  Compare 39 and -50
  Swap 39 and -50
  List after swap: [-55, -48, -15, -50, 39, -25, 73, -42, 76, 77]
  Compare 39 and -25
  Swap 39 and -25
  List after swap: [-55, -48, -15, -50, -25, 39, 73, -42, 76, 77]
  Compare 39 and 73
  No swap needed
  Compare 73 and -42
  Swap 73 and -42
  List after swap: [-55, -48, -15, -50, -25, 39, -42, 73, 76, 77]

Pass 4:
  Compare -55 and -48
  No swap needed
  Compare -48 and -15
  No swap needed
  Compare -15 and -50
  Swap -15 and -50
  List after swap: [-55, -48, -50, -15, -25, 39, -42, 73, 76, 77]
  Compare -15 and -25
  Swap -15 and -25
  List after swap: [-55, -48, -50, -25, -15, 39, -42, 73, 76, 77]
  Compare -15 and 39
  No swap needed
  Compare 39 and -42
  Swap 39 and -42
  List after swap: [-55, -48, -50, -25, -15, -42, 39, 73, 76, 77]

Pass 5:
  Compare -55 and -48
  No swap needed
  Compare -48 and -50
  Swap -48 and -50
  List after swap: [-55, -50, -48, -25, -15, -42, 39, 73, 76, 77]
  Compare -48 and -25
  No swap needed
  Compare -25 and -15
  No swap needed
  Compare -15 and -42
  Swap -15 and -42
  List after swap: [-55, -50, -48, -25, -42, -15, 39, 73, 76, 77]

Pass 6:
  Compare -55 and -50
  No swap needed
  Compare -50 and -48
  No swap needed
  Compare -48 and -25
  No swap needed
  Compare -25 and -42
  Swap -25 and -42
  List after swap: [-55, -50, -48, -42, -25, -15, 39, 73, 76, 77]

Pass 7:
  Compare -55 and -50
  No swap needed
  Compare -50 and -48
  No swap needed
  Compare -48 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, -50, -48, -42, -25, -15, 39, 73, 76, 77]
</think>

<response>-55, -50, -48, -42, -25, -15, 39, 73, 76, 77</response>


input: Execute bubble sort to sort 20, -100, -70, 62, 19, 3, -18, -47, -36 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [20, -100, -70, 62, 19, 3, -18, -47, -36]

Pass 1:
  Compare 20 and -100
  Swap 20 and -100
  List after swap: [-100, 20, -70, 62, 19, 3, -18, -47, -36]
  Compare 20 and -70
  Swap 20 and -70
  List after swap: [-100, -70, 20, 62, 19, 3, -18, -47, -36]
  Compare 20 and 62
  No swap needed
  Compare 62 and 19
  Swap 62 and 19
  List after swap: [-100, -70, 20, 19, 62, 3, -18, -47, -36]
  Compare 62 and 3
  Swap 62 and 3
  List after swap: [-100, -70, 20, 19, 3, 62, -18, -47, -36]
  Compare 62 and -18
  Swap 62 and -18
  List after swap: [-100, -70, 20, 19, 3, -18, 62, -47, -36]
  Compare 62 and -47
  Swap 62 and -47
  List after swap: [-100, -70, 20, 19, 3, -18, -47, 62, -36]
  Compare 62 and -36
  Swap 62 and -36
  List after swap: [-100, -70, 20, 19, 3, -18, -47, -36, 62]

Pass 2:
  Compare -100 and -70
  No swap needed
  Compare -70 and 20
  No swap needed
  Compare 20 and 19
  Swap 20 and 19
  List after swap: [-100, -70, 19, 20, 3, -18, -47, -36, 62]
  Compare 20 and 3
  Swap 20 and 3
  List after swap: [-100, -70, 19, 3, 20, -18, -47, -36, 62]
  Compare 20 and -18
  Swap 20 and -18
  List after swap: [-100, -70, 19, 3, -18, 20, -47, -36, 62]
  Compare 20 and -47
  Swap 20 and -47
  List after swap: [-100, -70, 19, 3, -18, -47, 20, -36, 62]
  Compare 20 and -36
  Swap 20 and -36
  List after swap: [-100, -70, 19, 3, -18, -47, -36, 20, 62]

Pass 3:
  Compare -100 and -70
  No swap needed
  Compare -70 and 19
  No swap needed
  Compare 19 and 3
  Swap 19 and 3
  List after swap: [-100, -70, 3, 19, -18, -47, -36, 20, 62]
  Compare 19 and -18
  Swap 19 and -18
  List after swap: [-100, -70, 3, -18, 19, -47, -36, 20, 62]
  Compare 19 and -47
  Swap 19 and -47
  List after swap: [-100, -70, 3, -18, -47, 19, -36, 20, 62]
  Compare 19 and -36
  Swap 19 and -36
  List after swap: [-100, -70, 3, -18, -47, -36, 19, 20, 62]

Pass 4:
  Compare -100 and -70
  No swap needed
  Compare -70 and 3
  No swap needed
  Compare 3 and -18
  Swap 3 and -18
  List after swap: [-100, -70, -18, 3, -47, -36, 19, 20, 62]
  Compare 3 and -47
  Swap 3 and -47
  List after swap: [-100, -70, -18, -47, 3, -36, 19, 20, 62]
  Compare 3 and -36
  Swap 3 and -36
  List after swap: [-100, -70, -18, -47, -36, 3, 19, 20, 62]

Pass 5:
  Compare -100 and -70
  No swap needed
  Compare -70 and -18
  No swap needed
  Compare -18 and -47
  Swap -18 and -47
  List after swap: [-100, -70, -47, -18, -36, 3, 19, 20, 62]
  Compare -18 and -36
  Swap -18 and -36
  List after swap: [-100, -70, -47, -36, -18, 3, 19, 20, 62]

Pass 6:
  Compare -100 and -70
  No swap needed
  Compare -70 and -47
  No swap needed
  Compare -47 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -70, -47, -36, -18, 3, 19, 20, 62]
</think>

<response>-100, -70, -47, -36, -18, 3, 19, 20, 62</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -74, -58.

output:
<think>
Initial list: [-74, -58]

Pass 1:
  Compare -74 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -58]
</think>

<response>-74, -58</response>


input: Demonstrate how bubble sort orders the integers 69, -62, -4, 96, 83, -93, 38, 80 in ascending sequence, showing all steps.

output:
<think>
Initial list: [69, -62, -4, 96, 83, -93, 38, 80]

Pass 1:
  Compare 69 and -62
  Swap 69 and -62
  List after swap: [-62, 69, -4, 96, 83, -93, 38, 80]
  Compare 69 and -4
  Swap 69 and -4
  List after swap: [-62, -4, 69, 96, 83, -93, 38, 80]
  Compare 69 and 96
  No swap needed
  Compare 96 and 83
  Swap 96 and 83
  List after swap: [-62, -4, 69, 83, 96, -93, 38, 80]
  Compare 96 and -93
  Swap 96 and -93
  List after swap: [-62, -4, 69, 83, -93, 96, 38, 80]
  Compare 96 and 38
  Swap 96 and 38
  List after swap: [-62, -4, 69, 83, -93, 38, 96, 80]
  Compare 96 and 80
  Swap 96 and 80
  List after swap: [-62, -4, 69, 83, -93, 38, 80, 96]

Pass 2:
  Compare -62 and -4
  No swap needed
  Compare -4 and 69
  No swap needed
  Compare 69 and 83
  No swap needed
  Compare 83 and -93
  Swap 83 and -93
  List after swap: [-62, -4, 69, -93, 83, 38, 80, 96]
  Compare 83 and 38
  Swap 83 and 38
  List after swap: [-62, -4, 69, -93, 38, 83, 80, 96]
  Compare 83 and 80
  Swap 83 and 80
  List after swap: [-62, -4, 69, -93, 38, 80, 83, 96]

Pass 3:
  Compare -62 and -4
  No swap needed
  Compare -4 and 69
  No swap needed
  Compare 69 and -93
  Swap 69 and -93
  List after swap: [-62, -4, -93, 69, 38, 80, 83, 96]
  Compare 69 and 38
  Swap 69 and 38
  List after swap: [-62, -4, -93, 38, 69, 80, 83, 96]
  Compare 69 and 80
  No swap needed

Pass 4:
  Compare -62 and -4
  No swap needed
  Compare -4 and -93
  Swap -4 and -93
  List after swap: [-62, -93, -4, 38, 69, 80, 83, 96]
  Compare -4 and 38
  No swap needed
  Compare 38 and 69
  No swap needed

Pass 5:
  Compare -62 and -93
  Swap -62 and -93
  List after swap: [-93, -62, -4, 38, 69, 80, 83, 96]
  Compare -62 and -4
  No swap needed
  Compare -4 and 38
  No swap needed

Pass 6:
  Compare -93 and -62
  No swap needed
  Compare -62 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -62, -4, 38, 69, 80, 83, 96]
</think>

<response>-93, -62, -4, 38, 69, 80, 83, 96</response>


input: Arrange the numbers -31, -99, -48, 67, -63, -98, -69, 12, -38 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-31, -99, -48, 67, -63, -98, -69, 12, -38]

Pass 1:
  Compare -31 and -99
  Swap -31 and -99
  List after swap: [-99, -31, -48, 67, -63, -98, -69, 12, -38]
  Compare -31 and -48
  Swap -31 and -48
  List after swap: [-99, -48, -31, 67, -63, -98, -69, 12, -38]
  Compare -31 and 67
  No swap needed
  Compare 67 and -63
  Swap 67 and -63
  List after swap: [-99, -48, -31, -63, 67, -98, -69, 12, -38]
  Compare 67 and -98
  Swap 67 and -98
  List after swap: [-99, -48, -31, -63, -98, 67, -69, 12, -38]
  Compare 67 and -69
  Swap 67 and -69
  List after swap: [-99, -48, -31, -63, -98, -69, 67, 12, -38]
  Compare 67 and 12
  Swap 67 and 12
  List after swap: [-99, -48, -31, -63, -98, -69, 12, 67, -38]
  Compare 67 and -38
  Swap 67 and -38
  List after swap: [-99, -48, -31, -63, -98, -69, 12, -38, 67]

Pass 2:
  Compare -99 and -48
  No swap needed
  Compare -48 and -31
  No swap needed
  Compare -31 and -63
  Swap -31 and -63
  List after swap: [-99, -48, -63, -31, -98, -69, 12, -38, 67]
  Compare -31 and -98
  Swap -31 and -98
  List after swap: [-99, -48, -63, -98, -31, -69, 12, -38, 67]
  Compare -31 and -69
  Swap -31 and -69
  List after swap: [-99, -48, -63, -98, -69, -31, 12, -38, 67]
  Compare -31 and 12
  No swap needed
  Compare 12 and -38
  Swap 12 and -38
  List after swap: [-99, -48, -63, -98, -69, -31, -38, 12, 67]

Pass 3:
  Compare -99 and -48
  No swap needed
  Compare -48 and -63
  Swap -48 and -63
  List after swap: [-99, -63, -48, -98, -69, -31, -38, 12, 67]
  Compare -48 and -98
  Swap -48 and -98
  List after swap: [-99, -63, -98, -48, -69, -31, -38, 12, 67]
  Compare -48 and -69
  Swap -48 and -69
  List after swap: [-99, -63, -98, -69, -48, -31, -38, 12, 67]
  Compare -48 and -31
  No swap needed
  Compare -31 and -38
  Swap -31 and -38
  List after swap: [-99, -63, -98, -69, -48, -38, -31, 12, 67]

Pass 4:
  Compare -99 and -63
  No swap needed
  Compare -63 and -98
  Swap -63 and -98
  List after swap: [-99, -98, -63, -69, -48, -38, -31, 12, 67]
  Compare -63 and -69
  Swap -63 and -69
  List after swap: [-99, -98, -69, -63, -48, -38, -31, 12, 67]
  Compare -63 and -48
  No swap needed
  Compare -48 and -38
  No swap needed

Pass 5:
  Compare -99 and -98
  No swap needed
  Compare -98 and -69
  No swap needed
  Compare -69 and -63
  No swap needed
  Compare -63 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -98, -69, -63, -48, -38, -31, 12, 67]
</think>

<response>-99, -98, -69, -63, -48, -38, -31, 12, 67</response>


input: Demonstrate how bubble sort orders the integers 39, -35, 16, 13, 80, -18, -83, -27, -8 in ascending sequence, showing all steps.

output:
<think>
Initial list: [39, -35, 16, 13, 80, -18, -83, -27, -8]

Pass 1:
  Compare 39 and -35
  Swap 39 and -35
  List after swap: [-35, 39, 16, 13, 80, -18, -83, -27, -8]
  Compare 39 and 16
  Swap 39 and 16
  List after swap: [-35, 16, 39, 13, 80, -18, -83, -27, -8]
  Compare 39 and 13
  Swap 39 and 13
  List after swap: [-35, 16, 13, 39, 80, -18, -83, -27, -8]
  Compare 39 and 80
  No swap needed
  Compare 80 and -18
  Swap 80 and -18
  List after swap: [-35, 16, 13, 39, -18, 80, -83, -27, -8]
  Compare 80 and -83
  Swap 80 and -83
  List after swap: [-35, 16, 13, 39, -18, -83, 80, -27, -8]
  Compare 80 and -27
  Swap 80 and -27
  List after swap: [-35, 16, 13, 39, -18, -83, -27, 80, -8]
  Compare 80 and -8
  Swap 80 and -8
  List after swap: [-35, 16, 13, 39, -18, -83, -27, -8, 80]

Pass 2:
  Compare -35 and 16
  No swap needed
  Compare 16 and 13
  Swap 16 and 13
  List after swap: [-35, 13, 16, 39, -18, -83, -27, -8, 80]
  Compare 16 and 39
  No swap needed
  Compare 39 and -18
  Swap 39 and -18
  List after swap: [-35, 13, 16, -18, 39, -83, -27, -8, 80]
  Compare 39 and -83
  Swap 39 and -83
  List after swap: [-35, 13, 16, -18, -83, 39, -27, -8, 80]
  Compare 39 and -27
  Swap 39 and -27
  List after swap: [-35, 13, 16, -18, -83, -27, 39, -8, 80]
  Compare 39 and -8
  Swap 39 and -8
  List after swap: [-35, 13, 16, -18, -83, -27, -8, 39, 80]

Pass 3:
  Compare -35 and 13
  No swap needed
  Compare 13 and 16
  No swap needed
  Compare 16 and -18
  Swap 16 and -18
  List after swap: [-35, 13, -18, 16, -83, -27, -8, 39, 80]
  Compare 16 and -83
  Swap 16 and -83
  List after swap: [-35, 13, -18, -83, 16, -27, -8, 39, 80]
  Compare 16 and -27
  Swap 16 and -27
  List after swap: [-35, 13, -18, -83, -27, 16, -8, 39, 80]
  Compare 16 and -8
  Swap 16 and -8
  List after swap: [-35, 13, -18, -83, -27, -8, 16, 39, 80]

Pass 4:
  Compare -35 and 13
  No swap needed
  Compare 13 and -18
  Swap 13 and -18
  List after swap: [-35, -18, 13, -83, -27, -8, 16, 39, 80]
  Compare 13 and -83
  Swap 13 and -83
  List after swap: [-35, -18, -83, 13, -27, -8, 16, 39, 80]
  Compare 13 and -27
  Swap 13 and -27
  List after swap: [-35, -18, -83, -27, 13, -8, 16, 39, 80]
  Compare 13 and -8
  Swap 13 and -8
  List after swap: [-35, -18, -83, -27, -8, 13, 16, 39, 80]

Pass 5:
  Compare -35 and -18
  No swap needed
  Compare -18 and -83
  Swap -18 and -83
  List after swap: [-35, -83, -18, -27, -8, 13, 16, 39, 80]
  Compare -18 and -27
  Swap -18 and -27
  List after swap: [-35, -83, -27, -18, -8, 13, 16, 39, 80]
  Compare -18 and -8
  No swap needed

Pass 6:
  Compare -35 and -83
  Swap -35 and -83
  List after swap: [-83, -35, -27, -18, -8, 13, 16, 39, 80]
  Compare -35 and -27
  No swap needed
  Compare -27 and -18
  No swap needed

Pass 7:
  Compare -83 and -35
  No swap needed
  Compare -35 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -35, -27, -18, -8, 13, 16, 39, 80]
</think>

<response>-83, -35, -27, -18, -8, 13, 16, 39, 80</response>


input: Sort these integers -35, -36, -50, 42, -72, 62 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-35, -36, -50, 42, -72, 62]

Pass 1:
  Compare -35 and -36
  Swap -35 and -36
  List after swap: [-36, -35, -50, 42, -72, 62]
  Compare -35 and -50
  Swap -35 and -50
  List after swap: [-36, -50, -35, 42, -72, 62]
  Compare -35 and 42
  No swap needed
  Compare 42 and -72
  Swap 42 and -72
  List after swap: [-36, -50, -35, -72, 42, 62]
  Compare 42 and 62
  No swap needed

Pass 2:
  Compare -36 and -50
  Swap -36 and -50
  List after swap: [-50, -36, -35, -72, 42, 62]
  Compare -36 and -35
  No swap needed
  Compare -35 and -72
  Swap -35 and -72
  List after swap: [-50, -36, -72, -35, 42, 62]
  Compare -35 and 42
  No swap needed

Pass 3:
  Compare -50 and -36
  No swap needed
  Compare -36 and -72
  Swap -36 and -72
  List after swap: [-50, -72, -36, -35, 42, 62]
  Compare -36 and -35
  No swap needed

Pass 4:
  Compare -50 and -72
  Swap -50 and -72
  List after swap: [-72, -50, -36, -35, 42, 62]
  Compare -50 and -36
  No swap needed

Pass 5:
  Compare -72 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -50, -36, -35, 42, 62]
</think>

<response>-72, -50, -36, -35, 42, 62</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 6, 16, -54, 22, 17, 20.

output:
<think>
Initial list: [6, 16, -54, 22, 17, 20]

Pass 1:
  Compare 6 and 16
  No swap needed
  Compare 16 and -54
  Swap 16 and -54
  List after swap: [6, -54, 16, 22, 17, 20]
  Compare 16 and 22
  No swap needed
  Compare 22 and 17
  Swap 22 and 17
  List after swap: [6, -54, 16, 17, 22, 20]
  Compare 22 and 20
  Swap 22 and 20
  List after swap: [6, -54, 16, 17, 20, 22]

Pass 2:
  Compare 6 and -54
  Swap 6 and -54
  List after swap: [-54, 6, 16, 17, 20, 22]
  Compare 6 and 16
  No swap needed
  Compare 16 and 17
  No swap needed
  Compare 17 and 20
  No swap needed

Pass 3:
  Compare -54 and 6
  No swap needed
  Compare 6 and 16
  No swap needed
  Compare 16 and 17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-54, 6, 16, 17, 20, 22]
</think>

<response>-54, 6, 16, 17, 20, 22</response>


input: Demonstrate how bubble sort orders the integers 99, 75, -5, 42, 7, -14, -66, 14, 47 in ascending sequence, showing all steps.

output:
<think>
Initial list: [99, 75, -5, 42, 7, -14, -66, 14, 47]

Pass 1:
  Compare 99 and 75
  Swap 99 and 75
  List after swap: [75, 99, -5, 42, 7, -14, -66, 14, 47]
  Compare 99 and -5
  Swap 99 and -5
  List after swap: [75, -5, 99, 42, 7, -14, -66, 14, 47]
  Compare 99 and 42
  Swap 99 and 42
  List after swap: [75, -5, 42, 99, 7, -14, -66, 14, 47]
  Compare 99 and 7
  Swap 99 and 7
  List after swap: [75, -5, 42, 7, 99, -14, -66, 14, 47]
  Compare 99 and -14
  Swap 99 and -14
  List after swap: [75, -5, 42, 7, -14, 99, -66, 14, 47]
  Compare 99 and -66
  Swap 99 and -66
  List after swap: [75, -5, 42, 7, -14, -66, 99, 14, 47]
  Compare 99 and 14
  Swap 99 and 14
  List after swap: [75, -5, 42, 7, -14, -66, 14, 99, 47]
  Compare 99 and 47
  Swap 99 and 47
  List after swap: [75, -5, 42, 7, -14, -66, 14, 47, 99]

Pass 2:
  Compare 75 and -5
  Swap 75 and -5
  List after swap: [-5, 75, 42, 7, -14, -66, 14, 47, 99]
  Compare 75 and 42
  Swap 75 and 42
  List after swap: [-5, 42, 75, 7, -14, -66, 14, 47, 99]
  Compare 75 and 7
  Swap 75 and 7
  List after swap: [-5, 42, 7, 75, -14, -66, 14, 47, 99]
  Compare 75 and -14
  Swap 75 and -14
  List after swap: [-5, 42, 7, -14, 75, -66, 14, 47, 99]
  Compare 75 and -66
  Swap 75 and -66
  List after swap: [-5, 42, 7, -14, -66, 75, 14, 47, 99]
  Compare 75 and 14
  Swap 75 and 14
  List after swap: [-5, 42, 7, -14, -66, 14, 75, 47, 99]
  Compare 75 and 47
  Swap 75 and 47
  List after swap: [-5, 42, 7, -14, -66, 14, 47, 75, 99]

Pass 3:
  Compare -5 and 42
  No swap needed
  Compare 42 and 7
  Swap 42 and 7
  List after swap: [-5, 7, 42, -14, -66, 14, 47, 75, 99]
  Compare 42 and -14
  Swap 42 and -14
  List after swap: [-5, 7, -14, 42, -66, 14, 47, 75, 99]
  Compare 42 and -66
  Swap 42 and -66
  List after swap: [-5, 7, -14, -66, 42, 14, 47, 75, 99]
  Compare 42 and 14
  Swap 42 and 14
  List after swap: [-5, 7, -14, -66, 14, 42, 47, 75, 99]
  Compare 42 and 47
  No swap needed

Pass 4:
  Compare -5 and 7
  No swap needed
  Compare 7 and -14
  Swap 7 and -14
  List after swap: [-5, -14, 7, -66, 14, 42, 47, 75, 99]
  Compare 7 and -66
  Swap 7 and -66
  List after swap: [-5, -14, -66, 7, 14, 42, 47, 75, 99]
  Compare 7 and 14
  No swap needed
  Compare 14 and 42
  No swap needed

Pass 5:
  Compare -5 and -14
  Swap -5 and -14
  List after swap: [-14, -5, -66, 7, 14, 42, 47, 75, 99]
  Compare -5 and -66
  Swap -5 and -66
  List after swap: [-14, -66, -5, 7, 14, 42, 47, 75, 99]
  Compare -5 and 7
  No swap needed
  Compare 7 and 14
  No swap needed

Pass 6:
  Compare -14 and -66
  Swap -14 and -66
  List after swap: [-66, -14, -5, 7, 14, 42, 47, 75, 99]
  Compare -14 and -5
  No swap needed
  Compare -5 and 7
  No swap needed

Pass 7:
  Compare -66 and -14
  No swap needed
  Compare -14 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -14, -5, 7, 14, 42, 47, 75, 99]
</think>

<response>-66, -14, -5, 7, 14, 42, 47, 75, 99</response>


input: Execute bubble sort to sort 87, -47, 16, 41, 68, 0, 89, -97, 34 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [87, -47, 16, 41, 68, 0, 89, -97, 34]

Pass 1:
  Compare 87 and -47
  Swap 87 and -47
  List after swap: [-47, 87, 16, 41, 68, 0, 89, -97, 34]
  Compare 87 and 16
  Swap 87 and 16
  List after swap: [-47, 16, 87, 41, 68, 0, 89, -97, 34]
  Compare 87 and 41
  Swap 87 and 41
  List after swap: [-47, 16, 41, 87, 68, 0, 89, -97, 34]
  Compare 87 and 68
  Swap 87 and 68
  List after swap: [-47, 16, 41, 68, 87, 0, 89, -97, 34]
  Compare 87 and 0
  Swap 87 and 0
  List after swap: [-47, 16, 41, 68, 0, 87, 89, -97, 34]
  Compare 87 and 89
  No swap needed
  Compare 89 and -97
  Swap 89 and -97
  List after swap: [-47, 16, 41, 68, 0, 87, -97, 89, 34]
  Compare 89 and 34
  Swap 89 and 34
  List after swap: [-47, 16, 41, 68, 0, 87, -97, 34, 89]

Pass 2:
  Compare -47 and 16
  No swap needed
  Compare 16 and 41
  No swap needed
  Compare 41 and 68
  No swap needed
  Compare 68 and 0
  Swap 68 and 0
  List after swap: [-47, 16, 41, 0, 68, 87, -97, 34, 89]
  Compare 68 and 87
  No swap needed
  Compare 87 and -97
  Swap 87 and -97
  List after swap: [-47, 16, 41, 0, 68, -97, 87, 34, 89]
  Compare 87 and 34
  Swap 87 and 34
  List after swap: [-47, 16, 41, 0, 68, -97, 34, 87, 89]

Pass 3:
  Compare -47 and 16
  No swap needed
  Compare 16 and 41
  No swap needed
  Compare 41 and 0
  Swap 41 and 0
  List after swap: [-47, 16, 0, 41, 68, -97, 34, 87, 89]
  Compare 41 and 68
  No swap needed
  Compare 68 and -97
  Swap 68 and -97
  List after swap: [-47, 16, 0, 41, -97, 68, 34, 87, 89]
  Compare 68 and 34
  Swap 68 and 34
  List after swap: [-47, 16, 0, 41, -97, 34, 68, 87, 89]

Pass 4:
  Compare -47 and 16
  No swap needed
  Compare 16 and 0
  Swap 16 and 0
  List after swap: [-47, 0, 16, 41, -97, 34, 68, 87, 89]
  Compare 16 and 41
  No swap needed
  Compare 41 and -97
  Swap 41 and -97
  List after swap: [-47, 0, 16, -97, 41, 34, 68, 87, 89]
  Compare 41 and 34
  Swap 41 and 34
  List after swap: [-47, 0, 16, -97, 34, 41, 68, 87, 89]

Pass 5:
  Compare -47 and 0
  No swap needed
  Compare 0 and 16
  No swap needed
  Compare 16 and -97
  Swap 16 and -97
  List after swap: [-47, 0, -97, 16, 34, 41, 68, 87, 89]
  Compare 16 and 34
  No swap needed

Pass 6:
  Compare -47 and 0
  No swap needed
  Compare 0 and -97
  Swap 0 and -97
  List after swap: [-47, -97, 0, 16, 34, 41, 68, 87, 89]
  Compare 0 and 16
  No swap needed

Pass 7:
  Compare -47 and -97
  Swap -47 and -97
  List after swap: [-97, -47, 0, 16, 34, 41, 68, 87, 89]
  Compare -47 and 0
  No swap needed

Pass 8:
  Compare -97 and -47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -47, 0, 16, 34, 41, 68, 87, 89]
</think>

<response>-97, -47, 0, 16, 34, 41, 68, 87, 89</response>


input: Using the bubble sort method, sort 52, -98, 8 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [52, -98, 8]

Pass 1:
  Compare 52 and -98
  Swap 52 and -98
  List after swap: [-98, 52, 8]
  Compare 52 and 8
  Swap 52 and 8
  List after swap: [-98, 8, 52]

Pass 2:
  Compare -98 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, 8, 52]
</think>

<response>-98, 8, 52</response>


input: Demonstrate how bubble sort orders the integers 16, 65, -39, 96 in ascending sequence, showing all steps.

output:
<think>
Initial list: [16, 65, -39, 96]

Pass 1:
  Compare 16 and 65
  No swap needed
  Compare 65 and -39
  Swap 65 and -39
  List after swap: [16, -39, 65, 96]
  Compare 65 and 96
  No swap needed

Pass 2:
  Compare 16 and -39
  Swap 16 and -39
  List after swap: [-39, 16, 65, 96]
  Compare 16 and 65
  No swap needed

Pass 3:
  Compare -39 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-39, 16, 65, 96]
</think>

<response>-39, 16, 65, 96</response>


input: Use the bubble sort technique to reorder -73, -80, -31, -48, -17 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-73, -80, -31, -48, -17]

Pass 1:
  Compare -73 and -80
  Swap -73 and -80
  List after swap: [-80, -73, -31, -48, -17]
  Compare -73 and -31
  No swap needed
  Compare -31 and -48
  Swap -31 and -48
  List after swap: [-80, -73, -48, -31, -17]
  Compare -31 and -17
  No swap needed

Pass 2:
  Compare -80 and -73
  No swap needed
  Compare -73 and -48
  No swap needed
  Compare -48 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -73, -48, -31, -17]
</think>

<response>-80, -73, -48, -31, -17</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -43, -59, 31, -50, -44, -39, -23, -84.

output:
<think>
Initial list: [-43, -59, 31, -50, -44, -39, -23, -84]

Pass 1:
  Compare -43 and -59
  Swap -43 and -59
  List after swap: [-59, -43, 31, -50, -44, -39, -23, -84]
  Compare -43 and 31
  No swap needed
  Compare 31 and -50
  Swap 31 and -50
  List after swap: [-59, -43, -50, 31, -44, -39, -23, -84]
  Compare 31 and -44
  Swap 31 and -44
  List after swap: [-59, -43, -50, -44, 31, -39, -23, -84]
  Compare 31 and -39
  Swap 31 and -39
  List after swap: [-59, -43, -50, -44, -39, 31, -23, -84]
  Compare 31 and -23
  Swap 31 and -23
  List after swap: [-59, -43, -50, -44, -39, -23, 31, -84]
  Compare 31 and -84
  Swap 31 and -84
  List after swap: [-59, -43, -50, -44, -39, -23, -84, 31]

Pass 2:
  Compare -59 and -43
  No swap needed
  Compare -43 and -50
  Swap -43 and -50
  List after swap: [-59, -50, -43, -44, -39, -23, -84, 31]
  Compare -43 and -44
  Swap -43 and -44
  List after swap: [-59, -50, -44, -43, -39, -23, -84, 31]
  Compare -43 and -39
  No swap needed
  Compare -39 and -23
  No swap needed
  Compare -23 and -84
  Swap -23 and -84
  List after swap: [-59, -50, -44, -43, -39, -84, -23, 31]

Pass 3:
  Compare -59 and -50
  No swap needed
  Compare -50 and -44
  No swap needed
  Compare -44 and -43
  No swap needed
  Compare -43 and -39
  No swap needed
  Compare -39 and -84
  Swap -39 and -84
  List after swap: [-59, -50, -44, -43, -84, -39, -23, 31]

Pass 4:
  Compare -59 and -50
  No swap needed
  Compare -50 and -44
  No swap needed
  Compare -44 and -43
  No swap needed
  Compare -43 and -84
  Swap -43 and -84
  List after swap: [-59, -50, -44, -84, -43, -39, -23, 31]

Pass 5:
  Compare -59 and -50
  No swap needed
  Compare -50 and -44
  No swap needed
  Compare -44 and -84
  Swap -44 and -84
  List after swap: [-59, -50, -84, -44, -43, -39, -23, 31]

Pass 6:
  Compare -59 and -50
  No swap needed
  Compare -50 and -84
  Swap -50 and -84
  List after swap: [-59, -84, -50, -44, -43, -39, -23, 31]

Pass 7:
  Compare -59 and -84
  Swap -59 and -84
  List after swap: [-84, -59, -50, -44, -43, -39, -23, 31]

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

Final sorted list: [-84, -59, -50, -44, -43, -39, -23, 31]
</think>

<response>-84, -59, -50, -44, -43, -39, -23, 31</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -66, -70, -97, -27, 88, 30, -1, -71, -91, 71.

output:
<think>
Initial list: [-66, -70, -97, -27, 88, 30, -1, -71, -91, 71]

Pass 1:
  Compare -66 and -70
  Swap -66 and -70
  List after swap: [-70, -66, -97, -27, 88, 30, -1, -71, -91, 71]
  Compare -66 and -97
  Swap -66 and -97
  List after swap: [-70, -97, -66, -27, 88, 30, -1, -71, -91, 71]
  Compare -66 and -27
  No swap needed
  Compare -27 and 88
  No swap needed
  Compare 88 and 30
  Swap 88 and 30
  List after swap: [-70, -97, -66, -27, 30, 88, -1, -71, -91, 71]
  Compare 88 and -1
  Swap 88 and -1
  List after swap: [-70, -97, -66, -27, 30, -1, 88, -71, -91, 71]
  Compare 88 and -71
  Swap 88 and -71
  List after swap: [-70, -97, -66, -27, 30, -1, -71, 88, -91, 71]
  Compare 88 and -91
  Swap 88 and -91
  List after swap: [-70, -97, -66, -27, 30, -1, -71, -91, 88, 71]
  Compare 88 and 71
  Swap 88 and 71
  List after swap: [-70, -97, -66, -27, 30, -1, -71, -91, 71, 88]

Pass 2:
  Compare -70 and -97
  Swap -70 and -97
  List after swap: [-97, -70, -66, -27, 30, -1, -71, -91, 71, 88]
  Compare -70 and -66
  No swap needed
  Compare -66 and -27
  No swap needed
  Compare -27 and 30
  No swap needed
  Compare 30 and -1
  Swap 30 and -1
  List after swap: [-97, -70, -66, -27, -1, 30, -71, -91, 71, 88]
  Compare 30 and -71
  Swap 30 and -71
  List after swap: [-97, -70, -66, -27, -1, -71, 30, -91, 71, 88]
  Compare 30 and -91
  Swap 30 and -91
  List after swap: [-97, -70, -66, -27, -1, -71, -91, 30, 71, 88]
  Compare 30 and 71
  No swap needed

Pass 3:
  Compare -97 and -70
  No swap needed
  Compare -70 and -66
  No swap needed
  Compare -66 and -27
  No swap needed
  Compare -27 and -1
  No swap needed
  Compare -1 and -71
  Swap -1 and -71
  List after swap: [-97, -70, -66, -27, -71, -1, -91, 30, 71, 88]
  Compare -1 and -91
  Swap -1 and -91
  List after swap: [-97, -70, -66, -27, -71, -91, -1, 30, 71, 88]
  Compare -1 and 30
  No swap needed

Pass 4:
  Compare -97 and -70
  No swap needed
  Compare -70 and -66
  No swap needed
  Compare -66 and -27
  No swap needed
  Compare -27 and -71
  Swap -27 and -71
  List after swap: [-97, -70, -66, -71, -27, -91, -1, 30, 71, 88]
  Compare -27 and -91
  Swap -27 and -91
  List after swap: [-97, -70, -66, -71, -91, -27, -1, 30, 71, 88]
  Compare -27 and -1
  No swap needed

Pass 5:
  Compare -97 and -70
  No swap needed
  Compare -70 and -66
  No swap needed
  Compare -66 and -71
  Swap -66 and -71
  List after swap: [-97, -70, -71, -66, -91, -27, -1, 30, 71, 88]
  Compare -66 and -91
  Swap -66 and -91
  List after swap: [-97, -70, -71, -91, -66, -27, -1, 30, 71, 88]
  Compare -66 and -27
  No swap needed

Pass 6:
  Compare -97 and -70
  No swap needed
  Compare -70 and -71
  Swap -70 and -71
  List after swap: [-97, -71, -70, -91, -66, -27, -1, 30, 71, 88]
  Compare -70 and -91
  Swap -70 and -91
  List after swap: [-97, -71, -91, -70, -66, -27, -1, 30, 71, 88]
  Compare -70 and -66
  No swap needed

Pass 7:
  Compare -97 and -71
  No swap needed
  Compare -71 and -91
  Swap -71 and -91
  List after swap: [-97, -91, -71, -70, -66, -27, -1, 30, 71, 88]
  Compare -71 and -70
  No swap needed

Pass 8:
  Compare -97 and -91
  No swap needed
  Compare -91 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -91, -71, -70, -66, -27, -1, 30, 71, 88]
</think>

<response>-97, -91, -71, -70, -66, -27, -1, 30, 71, 88</response>


input: Use the bubble sort technique to reorder -81, 9, 47, 26, 69, -41, -61 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-81, 9, 47, 26, 69, -41, -61]

Pass 1:
  Compare -81 and 9
  No swap needed
  Compare 9 and 47
  No swap needed
  Compare 47 and 26
  Swap 47 and 26
  List after swap: [-81, 9, 26, 47, 69, -41, -61]
  Compare 47 and 69
  No swap needed
  Compare 69 and -41
  Swap 69 and -41
  List after swap: [-81, 9, 26, 47, -41, 69, -61]
  Compare 69 and -61
  Swap 69 and -61
  List after swap: [-81, 9, 26, 47, -41, -61, 69]

Pass 2:
  Compare -81 and 9
  No swap needed
  Compare 9 and 26
  No swap needed
  Compare 26 and 47
  No swap needed
  Compare 47 and -41
  Swap 47 and -41
  List after swap: [-81, 9, 26, -41, 47, -61, 69]
  Compare 47 and -61
  Swap 47 and -61
  List after swap: [-81, 9, 26, -41, -61, 47, 69]

Pass 3:
  Compare -81 and 9
  No swap needed
  Compare 9 and 26
  No swap needed
  Compare 26 and -41
  Swap 26 and -41
  List after swap: [-81, 9, -41, 26, -61, 47, 69]
  Compare 26 and -61
  Swap 26 and -61
  List after swap: [-81, 9, -41, -61, 26, 47, 69]

Pass 4:
  Compare -81 and 9
  No swap needed
  Compare 9 and -41
  Swap 9 and -41
  List after swap: [-81, -41, 9, -61, 26, 47, 69]
  Compare 9 and -61
  Swap 9 and -61
  List after swap: [-81, -41, -61, 9, 26, 47, 69]

Pass 5:
  Compare -81 and -41
  No swap needed
  Compare -41 and -61
  Swap -41 and -61
  List after swap: [-81, -61, -41, 9, 26, 47, 69]

Pass 6:
  Compare -81 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -61, -41, 9, 26, 47, 69]
</think>

<response>-81, -61, -41, 9, 26, 47, 69</response>


input: Implement bubble sort on 82, 69, 61, -57, 65, -53, 25, -18 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [82, 69, 61, -57, 65, -53, 25, -18]

Pass 1:
  Compare 82 and 69
  Swap 82 and 69
  List after swap: [69, 82, 61, -57, 65, -53, 25, -18]
  Compare 82 and 61
  Swap 82 and 61
  List after swap: [69, 61, 82, -57, 65, -53, 25, -18]
  Compare 82 and -57
  Swap 82 and -57
  List after swap: [69, 61, -57, 82, 65, -53, 25, -18]
  Compare 82 and 65
  Swap 82 and 65
  List after swap: [69, 61, -57, 65, 82, -53, 25, -18]
  Compare 82 and -53
  Swap 82 and -53
  List after swap: [69, 61, -57, 65, -53, 82, 25, -18]
  Compare 82 and 25
  Swap 82 and 25
  List after swap: [69, 61, -57, 65, -53, 25, 82, -18]
  Compare 82 and -18
  Swap 82 and -18
  List after swap: [69, 61, -57, 65, -53, 25, -18, 82]

Pass 2:
  Compare 69 and 61
  Swap 69 and 61
  List after swap: [61, 69, -57, 65, -53, 25, -18, 82]
  Compare 69 and -57
  Swap 69 and -57
  List after swap: [61, -57, 69, 65, -53, 25, -18, 82]
  Compare 69 and 65
  Swap 69 and 65
  List after swap: [61, -57, 65, 69, -53, 25, -18, 82]
  Compare 69 and -53
  Swap 69 and -53
  List after swap: [61, -57, 65, -53, 69, 25, -18, 82]
  Compare 69 and 25
  Swap 69 and 25
  List after swap: [61, -57, 65, -53, 25, 69, -18, 82]
  Compare 69 and -18
  Swap 69 and -18
  List after swap: [61, -57, 65, -53, 25, -18, 69, 82]

Pass 3:
  Compare 61 and -57
  Swap 61 and -57
  List after swap: [-57, 61, 65, -53, 25, -18, 69, 82]
  Compare 61 and 65
  No swap needed
  Compare 65 and -53
  Swap 65 and -53
  List after swap: [-57, 61, -53, 65, 25, -18, 69, 82]
  Compare 65 and 25
  Swap 65 and 25
  List after swap: [-57, 61, -53, 25, 65, -18, 69, 82]
  Compare 65 and -18
  Swap 65 and -18
  List after swap: [-57, 61, -53, 25, -18, 65, 69, 82]

Pass 4:
  Compare -57 and 61
  No swap needed
  Compare 61 and -53
  Swap 61 and -53
  List after swap: [-57, -53, 61, 25, -18, 65, 69, 82]
  Compare 61 and 25
  Swap 61 and 25
  List after swap: [-57, -53, 25, 61, -18, 65, 69, 82]
  Compare 61 and -18
  Swap 61 and -18
  List after swap: [-57, -53, 25, -18, 61, 65, 69, 82]

Pass 5:
  Compare -57 and -53
  No swap needed
  Compare -53 and 25
  No swap needed
  Compare 25 and -18
  Swap 25 and -18
  List after swap: [-57, -53, -18, 25, 61, 65, 69, 82]

Pass 6:
  Compare -57 and -53
  No swap needed
  Compare -53 and -18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -53, -18, 25, 61, 65, 69, 82]
</think>

<response>-57, -53, -18, 25, 61, 65, 69, 82</response>


input: Use the bubble sort technique to reorder -31, 67, 33, -23, 94 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-31, 67, 33, -23, 94]

Pass 1:
  Compare -31 and 67
  No swap needed
  Compare 67 and 33
  Swap 67 and 33
  List after swap: [-31, 33, 67, -23, 94]
  Compare 67 and -23
  Swap 67 and -23
  List after swap: [-31, 33, -23, 67, 94]
  Compare 67 and 94
  No swap needed

Pass 2:
  Compare -31 and 33
  No swap needed
  Compare 33 and -23
  Swap 33 and -23
  List after swap: [-31, -23, 33, 67, 94]
  Compare 33 and 67
  No swap needed

Pass 3:
  Compare -31 and -23
  No swap needed
  Compare -23 and 33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-31, -23, 33, 67, 94]
</think>

<response>-31, -23, 33, 67, 94</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -72, -51, 91, 56, -36.

output:
<think>
Initial list: [-72, -51, 91, 56, -36]

Pass 1:
  Compare -72 and -51
  No swap needed
  Compare -51 and 91
  No swap needed
  Compare 91 and 56
  Swap 91 and 56
  List after swap: [-72, -51, 56, 91, -36]
  Compare 91 and -36
  Swap 91 and -36
  List after swap: [-72, -51, 56, -36, 91]

Pass 2:
  Compare -72 and -51
  No swap needed
  Compare -51 and 56
  No swap needed
  Compare 56 and -36
  Swap 56 and -36
  List after swap: [-72, -51, -36, 56, 91]

Pass 3:
  Compare -72 and -51
  No swap needed
  Compare -51 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -51, -36, 56, 91]
</think>

<response>-72, -51, -36, 56, 91</response>


input: Demonstrate how bubble sort orders the integers 99, 20, 77, -22, -67, 57 in ascending sequence, showing all steps.

output:
<think>
Initial list: [99, 20, 77, -22, -67, 57]

Pass 1:
  Compare 99 and 20
  Swap 99 and 20
  List after swap: [20, 99, 77, -22, -67, 57]
  Compare 99 and 77
  Swap 99 and 77
  List after swap: [20, 77, 99, -22, -67, 57]
  Compare 99 and -22
  Swap 99 and -22
  List after swap: [20, 77, -22, 99, -67, 57]
  Compare 99 and -67
  Swap 99 and -67
  List after swap: [20, 77, -22, -67, 99, 57]
  Compare 99 and 57
  Swap 99 and 57
  List after swap: [20, 77, -22, -67, 57, 99]

Pass 2:
  Compare 20 and 77
  No swap needed
  Compare 77 and -22
  Swap 77 and -22
  List after swap: [20, -22, 77, -67, 57, 99]
  Compare 77 and -67
  Swap 77 and -67
  List after swap: [20, -22, -67, 77, 57, 99]
  Compare 77 and 57
  Swap 77 and 57
  List after swap: [20, -22, -67, 57, 77, 99]

Pass 3:
  Compare 20 and -22
  Swap 20 and -22
  List after swap: [-22, 20, -67, 57, 77, 99]
  Compare 20 and -67
  Swap 20 and -67
  List after swap: [-22, -67, 20, 57, 77, 99]
  Compare 20 and 57
  No swap needed

Pass 4:
  Compare -22 and -67
  Swap -22 and -67
  List after swap: [-67, -22, 20, 57, 77, 99]
  Compare -22 and 20
  No swap needed

Pass 5:
  Compare -67 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -22, 20, 57, 77, 99]
</think>

<response>-67, -22, 20, 57, 77, 99</response>


input: Sort the list 20, -17, 56, -28, -56, -78 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [20, -17, 56, -28, -56, -78]

Pass 1:
  Compare 20 and -17
  Swap 20 and -17
  List after swap: [-17, 20, 56, -28, -56, -78]
  Compare 20 and 56
  No swap needed
  Compare 56 and -28
  Swap 56 and -28
  List after swap: [-17, 20, -28, 56, -56, -78]
  Compare 56 and -56
  Swap 56 and -56
  List after swap: [-17, 20, -28, -56, 56, -78]
  Compare 56 and -78
  Swap 56 and -78
  List after swap: [-17, 20, -28, -56, -78, 56]

Pass 2:
  Compare -17 and 20
  No swap needed
  Compare 20 and -28
  Swap 20 and -28
  List after swap: [-17, -28, 20, -56, -78, 56]
  Compare 20 and -56
  Swap 20 and -56
  List after swap: [-17, -28, -56, 20, -78, 56]
  Compare 20 and -78
  Swap 20 and -78
  List after swap: [-17, -28, -56, -78, 20, 56]

Pass 3:
  Compare -17 and -28
  Swap -17 and -28
  List after swap: [-28, -17, -56, -78, 20, 56]
  Compare -17 and -56
  Swap -17 and -56
  List after swap: [-28, -56, -17, -78, 20, 56]
  Compare -17 and -78
  Swap -17 and -78
  List after swap: [-28, -56, -78, -17, 20, 56]

Pass 4:
  Compare -28 and -56
  Swap -28 and -56
  List after swap: [-56, -28, -78, -17, 20, 56]
  Compare -28 and -78
  Swap -28 and -78
  List after swap: [-56, -78, -28, -17, 20, 56]

Pass 5:
  Compare -56 and -78
  Swap -56 and -78
  List after swap: [-78, -56, -28, -17, 20, 56]

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

Final sorted list: [-78, -56, -28, -17, 20, 56]
</think>

<response>-78, -56, -28, -17, 20, 56</response>


input: Using the bubble sort method, sort 19, -82, -27, -55, -1, 54 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [19, -82, -27, -55, -1, 54]

Pass 1:
  Compare 19 and -82
  Swap 19 and -82
  List after swap: [-82, 19, -27, -55, -1, 54]
  Compare 19 and -27
  Swap 19 and -27
  List after swap: [-82, -27, 19, -55, -1, 54]
  Compare 19 and -55
  Swap 19 and -55
  List after swap: [-82, -27, -55, 19, -1, 54]
  Compare 19 and -1
  Swap 19 and -1
  List after swap: [-82, -27, -55, -1, 19, 54]
  Compare 19 and 54
  No swap needed

Pass 2:
  Compare -82 and -27
  No swap needed
  Compare -27 and -55
  Swap -27 and -55
  List after swap: [-82, -55, -27, -1, 19, 54]
  Compare -27 and -1
  No swap needed
  Compare -1 and 19
  No swap needed

Pass 3:
  Compare -82 and -55
  No swap needed
  Compare -55 and -27
  No swap needed
  Compare -27 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -55, -27, -1, 19, 54]
</think>

<response>-82, -55, -27, -1, 19, 54</response>


input: Arrange the numbers 60, -73, 97, 0 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [60, -73, 97, 0]

Pass 1:
  Compare 60 and -73
  Swap 60 and -73
  List after swap: [-73, 60, 97, 0]
  Compare 60 and 97
  No swap needed
  Compare 97 and 0
  Swap 97 and 0
  List after swap: [-73, 60, 0, 97]

Pass 2:
  Compare -73 and 60
  No swap needed
  Compare 60 and 0
  Swap 60 and 0
  List after swap: [-73, 0, 60, 97]

Pass 3:
  Compare -73 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, 0, 60, 97]
</think>

<response>-73, 0, 60, 97</response>