input: Sort these integers 71, -27, 35, 28, -35, 80, 54, 1 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [71, -27, 35, 28, -35, 80, 54, 1]

Pass 1:
  Compare 71 and -27
  Swap 71 and -27
  List after swap: [-27, 71, 35, 28, -35, 80, 54, 1]
  Compare 71 and 35
  Swap 71 and 35
  List after swap: [-27, 35, 71, 28, -35, 80, 54, 1]
  Compare 71 and 28
  Swap 71 and 28
  List after swap: [-27, 35, 28, 71, -35, 80, 54, 1]
  Compare 71 and -35
  Swap 71 and -35
  List after swap: [-27, 35, 28, -35, 71, 80, 54, 1]
  Compare 71 and 80
  No swap needed
  Compare 80 and 54
  Swap 80 and 54
  List after swap: [-27, 35, 28, -35, 71, 54, 80, 1]
  Compare 80 and 1
  Swap 80 and 1
  List after swap: [-27, 35, 28, -35, 71, 54, 1, 80]

Pass 2:
  Compare -27 and 35
  No swap needed
  Compare 35 and 28
  Swap 35 and 28
  List after swap: [-27, 28, 35, -35, 71, 54, 1, 80]
  Compare 35 and -35
  Swap 35 and -35
  List after swap: [-27, 28, -35, 35, 71, 54, 1, 80]
  Compare 35 and 71
  No swap needed
  Compare 71 and 54
  Swap 71 and 54
  List after swap: [-27, 28, -35, 35, 54, 71, 1, 80]
  Compare 71 and 1
  Swap 71 and 1
  List after swap: [-27, 28, -35, 35, 54, 1, 71, 80]

Pass 3:
  Compare -27 and 28
  No swap needed
  Compare 28 and -35
  Swap 28 and -35
  List after swap: [-27, -35, 28, 35, 54, 1, 71, 80]
  Compare 28 and 35
  No swap needed
  Compare 35 and 54
  No swap needed
  Compare 54 and 1
  Swap 54 and 1
  List after swap: [-27, -35, 28, 35, 1, 54, 71, 80]

Pass 4:
  Compare -27 and -35
  Swap -27 and -35
  List after swap: [-35, -27, 28, 35, 1, 54, 71, 80]
  Compare -27 and 28
  No swap needed
  Compare 28 and 35
  No swap needed
  Compare 35 and 1
  Swap 35 and 1
  List after swap: [-35, -27, 28, 1, 35, 54, 71, 80]

Pass 5:
  Compare -35 and -27
  No swap needed
  Compare -27 and 28
  No swap needed
  Compare 28 and 1
  Swap 28 and 1
  List after swap: [-35, -27, 1, 28, 35, 54, 71, 80]

Pass 6:
  Compare -35 and -27
  No swap needed
  Compare -27 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-35, -27, 1, 28, 35, 54, 71, 80]
</think>

<response>-35, -27, 1, 28, 35, 54, 71, 80</response>


input: Perform a bubble sort on the integers -16, 78, -13, 15, -77, 88, 29, 27, 97, -55, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-16, 78, -13, 15, -77, 88, 29, 27, 97, -55]

Pass 1:
  Compare -16 and 78
  No swap needed
  Compare 78 and -13
  Swap 78 and -13
  List after swap: [-16, -13, 78, 15, -77, 88, 29, 27, 97, -55]
  Compare 78 and 15
  Swap 78 and 15
  List after swap: [-16, -13, 15, 78, -77, 88, 29, 27, 97, -55]
  Compare 78 and -77
  Swap 78 and -77
  List after swap: [-16, -13, 15, -77, 78, 88, 29, 27, 97, -55]
  Compare 78 and 88
  No swap needed
  Compare 88 and 29
  Swap 88 and 29
  List after swap: [-16, -13, 15, -77, 78, 29, 88, 27, 97, -55]
  Compare 88 and 27
  Swap 88 and 27
  List after swap: [-16, -13, 15, -77, 78, 29, 27, 88, 97, -55]
  Compare 88 and 97
  No swap needed
  Compare 97 and -55
  Swap 97 and -55
  List after swap: [-16, -13, 15, -77, 78, 29, 27, 88, -55, 97]

Pass 2:
  Compare -16 and -13
  No swap needed
  Compare -13 and 15
  No swap needed
  Compare 15 and -77
  Swap 15 and -77
  List after swap: [-16, -13, -77, 15, 78, 29, 27, 88, -55, 97]
  Compare 15 and 78
  No swap needed
  Compare 78 and 29
  Swap 78 and 29
  List after swap: [-16, -13, -77, 15, 29, 78, 27, 88, -55, 97]
  Compare 78 and 27
  Swap 78 and 27
  List after swap: [-16, -13, -77, 15, 29, 27, 78, 88, -55, 97]
  Compare 78 and 88
  No swap needed
  Compare 88 and -55
  Swap 88 and -55
  List after swap: [-16, -13, -77, 15, 29, 27, 78, -55, 88, 97]

Pass 3:
  Compare -16 and -13
  No swap needed
  Compare -13 and -77
  Swap -13 and -77
  List after swap: [-16, -77, -13, 15, 29, 27, 78, -55, 88, 97]
  Compare -13 and 15
  No swap needed
  Compare 15 and 29
  No swap needed
  Compare 29 and 27
  Swap 29 and 27
  List after swap: [-16, -77, -13, 15, 27, 29, 78, -55, 88, 97]
  Compare 29 and 78
  No swap needed
  Compare 78 and -55
  Swap 78 and -55
  List after swap: [-16, -77, -13, 15, 27, 29, -55, 78, 88, 97]

Pass 4:
  Compare -16 and -77
  Swap -16 and -77
  List after swap: [-77, -16, -13, 15, 27, 29, -55, 78, 88, 97]
  Compare -16 and -13
  No swap needed
  Compare -13 and 15
  No swap needed
  Compare 15 and 27
  No swap needed
  Compare 27 and 29
  No swap needed
  Compare 29 and -55
  Swap 29 and -55
  List after swap: [-77, -16, -13, 15, 27, -55, 29, 78, 88, 97]

Pass 5:
  Compare -77 and -16
  No swap needed
  Compare -16 and -13
  No swap needed
  Compare -13 and 15
  No swap needed
  Compare 15 and 27
  No swap needed
  Compare 27 and -55
  Swap 27 and -55
  List after swap: [-77, -16, -13, 15, -55, 27, 29, 78, 88, 97]

Pass 6:
  Compare -77 and -16
  No swap needed
  Compare -16 and -13
  No swap needed
  Compare -13 and 15
  No swap needed
  Compare 15 and -55
  Swap 15 and -55
  List after swap: [-77, -16, -13, -55, 15, 27, 29, 78, 88, 97]

Pass 7:
  Compare -77 and -16
  No swap needed
  Compare -16 and -13
  No swap needed
  Compare -13 and -55
  Swap -13 and -55
  List after swap: [-77, -16, -55, -13, 15, 27, 29, 78, 88, 97]

Pass 8:
  Compare -77 and -16
  No swap needed
  Compare -16 and -55
  Swap -16 and -55
  List after swap: [-77, -55, -16, -13, 15, 27, 29, 78, 88, 97]

Pass 9:
  Compare -77 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -55, -16, -13, 15, 27, 29, 78, 88, 97]
</think>

<response>-77, -55, -16, -13, 15, 27, 29, 78, 88, 97</response>


input: Demonstrate how bubble sort orders the integers 18, 2, 68, 82, -32, 51, -88, -87 in ascending sequence, showing all steps.

output:
<think>
Initial list: [18, 2, 68, 82, -32, 51, -88, -87]

Pass 1:
  Compare 18 and 2
  Swap 18 and 2
  List after swap: [2, 18, 68, 82, -32, 51, -88, -87]
  Compare 18 and 68
  No swap needed
  Compare 68 and 82
  No swap needed
  Compare 82 and -32
  Swap 82 and -32
  List after swap: [2, 18, 68, -32, 82, 51, -88, -87]
  Compare 82 and 51
  Swap 82 and 51
  List after swap: [2, 18, 68, -32, 51, 82, -88, -87]
  Compare 82 and -88
  Swap 82 and -88
  List after swap: [2, 18, 68, -32, 51, -88, 82, -87]
  Compare 82 and -87
  Swap 82 and -87
  List after swap: [2, 18, 68, -32, 51, -88, -87, 82]

Pass 2:
  Compare 2 and 18
  No swap needed
  Compare 18 and 68
  No swap needed
  Compare 68 and -32
  Swap 68 and -32
  List after swap: [2, 18, -32, 68, 51, -88, -87, 82]
  Compare 68 and 51
  Swap 68 and 51
  List after swap: [2, 18, -32, 51, 68, -88, -87, 82]
  Compare 68 and -88
  Swap 68 and -88
  List after swap: [2, 18, -32, 51, -88, 68, -87, 82]
  Compare 68 and -87
  Swap 68 and -87
  List after swap: [2, 18, -32, 51, -88, -87, 68, 82]

Pass 3:
  Compare 2 and 18
  No swap needed
  Compare 18 and -32
  Swap 18 and -32
  List after swap: [2, -32, 18, 51, -88, -87, 68, 82]
  Compare 18 and 51
  No swap needed
  Compare 51 and -88
  Swap 51 and -88
  List after swap: [2, -32, 18, -88, 51, -87, 68, 82]
  Compare 51 and -87
  Swap 51 and -87
  List after swap: [2, -32, 18, -88, -87, 51, 68, 82]

Pass 4:
  Compare 2 and -32
  Swap 2 and -32
  List after swap: [-32, 2, 18, -88, -87, 51, 68, 82]
  Compare 2 and 18
  No swap needed
  Compare 18 and -88
  Swap 18 and -88
  List after swap: [-32, 2, -88, 18, -87, 51, 68, 82]
  Compare 18 and -87
  Swap 18 and -87
  List after swap: [-32, 2, -88, -87, 18, 51, 68, 82]

Pass 5:
  Compare -32 and 2
  No swap needed
  Compare 2 and -88
  Swap 2 and -88
  List after swap: [-32, -88, 2, -87, 18, 51, 68, 82]
  Compare 2 and -87
  Swap 2 and -87
  List after swap: [-32, -88, -87, 2, 18, 51, 68, 82]

Pass 6:
  Compare -32 and -88
  Swap -32 and -88
  List after swap: [-88, -32, -87, 2, 18, 51, 68, 82]
  Compare -32 and -87
  Swap -32 and -87
  List after swap: [-88, -87, -32, 2, 18, 51, 68, 82]

Pass 7:
  Compare -88 and -87
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -87, -32, 2, 18, 51, 68, 82]
</think>

<response>-88, -87, -32, 2, 18, 51, 68, 82</response>


input: Perform a bubble sort on the integers 33, 14, 60, -66, -58, 69, 52, -20, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [33, 14, 60, -66, -58, 69, 52, -20]

Pass 1:
  Compare 33 and 14
  Swap 33 and 14
  List after swap: [14, 33, 60, -66, -58, 69, 52, -20]
  Compare 33 and 60
  No swap needed
  Compare 60 and -66
  Swap 60 and -66
  List after swap: [14, 33, -66, 60, -58, 69, 52, -20]
  Compare 60 and -58
  Swap 60 and -58
  List after swap: [14, 33, -66, -58, 60, 69, 52, -20]
  Compare 60 and 69
  No swap needed
  Compare 69 and 52
  Swap 69 and 52
  List after swap: [14, 33, -66, -58, 60, 52, 69, -20]
  Compare 69 and -20
  Swap 69 and -20
  List after swap: [14, 33, -66, -58, 60, 52, -20, 69]

Pass 2:
  Compare 14 and 33
  No swap needed
  Compare 33 and -66
  Swap 33 and -66
  List after swap: [14, -66, 33, -58, 60, 52, -20, 69]
  Compare 33 and -58
  Swap 33 and -58
  List after swap: [14, -66, -58, 33, 60, 52, -20, 69]
  Compare 33 and 60
  No swap needed
  Compare 60 and 52
  Swap 60 and 52
  List after swap: [14, -66, -58, 33, 52, 60, -20, 69]
  Compare 60 and -20
  Swap 60 and -20
  List after swap: [14, -66, -58, 33, 52, -20, 60, 69]

Pass 3:
  Compare 14 and -66
  Swap 14 and -66
  List after swap: [-66, 14, -58, 33, 52, -20, 60, 69]
  Compare 14 and -58
  Swap 14 and -58
  List after swap: [-66, -58, 14, 33, 52, -20, 60, 69]
  Compare 14 and 33
  No swap needed
  Compare 33 and 52
  No swap needed
  Compare 52 and -20
  Swap 52 and -20
  List after swap: [-66, -58, 14, 33, -20, 52, 60, 69]

Pass 4:
  Compare -66 and -58
  No swap needed
  Compare -58 and 14
  No swap needed
  Compare 14 and 33
  No swap needed
  Compare 33 and -20
  Swap 33 and -20
  List after swap: [-66, -58, 14, -20, 33, 52, 60, 69]

Pass 5:
  Compare -66 and -58
  No swap needed
  Compare -58 and 14
  No swap needed
  Compare 14 and -20
  Swap 14 and -20
  List after swap: [-66, -58, -20, 14, 33, 52, 60, 69]

Pass 6:
  Compare -66 and -58
  No swap needed
  Compare -58 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -58, -20, 14, 33, 52, 60, 69]
</think>

<response>-66, -58, -20, 14, 33, 52, 60, 69</response>


input: Implement bubble sort on 2, 14, -93, -87 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [2, 14, -93, -87]

Pass 1:
  Compare 2 and 14
  No swap needed
  Compare 14 and -93
  Swap 14 and -93
  List after swap: [2, -93, 14, -87]
  Compare 14 and -87
  Swap 14 and -87
  List after swap: [2, -93, -87, 14]

Pass 2:
  Compare 2 and -93
  Swap 2 and -93
  List after swap: [-93, 2, -87, 14]
  Compare 2 and -87
  Swap 2 and -87
  List after swap: [-93, -87, 2, 14]

Pass 3:
  Compare -93 and -87
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -87, 2, 14]
</think>

<response>-93, -87, 2, 14</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -57, 18.

output:
<think>
Initial list: [-57, 18]

Pass 1:
  Compare -57 and 18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, 18]
</think>

<response>-57, 18</response>


input: Use the bubble sort technique to reorder -51, -17, -37, 5, -55, 88 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-51, -17, -37, 5, -55, 88]

Pass 1:
  Compare -51 and -17
  No swap needed
  Compare -17 and -37
  Swap -17 and -37
  List after swap: [-51, -37, -17, 5, -55, 88]
  Compare -17 and 5
  No swap needed
  Compare 5 and -55
  Swap 5 and -55
  List after swap: [-51, -37, -17, -55, 5, 88]
  Compare 5 and 88
  No swap needed

Pass 2:
  Compare -51 and -37
  No swap needed
  Compare -37 and -17
  No swap needed
  Compare -17 and -55
  Swap -17 and -55
  List after swap: [-51, -37, -55, -17, 5, 88]
  Compare -17 and 5
  No swap needed

Pass 3:
  Compare -51 and -37
  No swap needed
  Compare -37 and -55
  Swap -37 and -55
  List after swap: [-51, -55, -37, -17, 5, 88]
  Compare -37 and -17
  No swap needed

Pass 4:
  Compare -51 and -55
  Swap -51 and -55
  List after swap: [-55, -51, -37, -17, 5, 88]
  Compare -51 and -37
  No swap needed

Pass 5:
  Compare -55 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, -51, -37, -17, 5, 88]
</think>

<response>-55, -51, -37, -17, 5, 88</response>


input: Use the bubble sort technique to reorder -68, -36, -90, 1, -71, 52 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-68, -36, -90, 1, -71, 52]

Pass 1:
  Compare -68 and -36
  No swap needed
  Compare -36 and -90
  Swap -36 and -90
  List after swap: [-68, -90, -36, 1, -71, 52]
  Compare -36 and 1
  No swap needed
  Compare 1 and -71
  Swap 1 and -71
  List after swap: [-68, -90, -36, -71, 1, 52]
  Compare 1 and 52
  No swap needed

Pass 2:
  Compare -68 and -90
  Swap -68 and -90
  List after swap: [-90, -68, -36, -71, 1, 52]
  Compare -68 and -36
  No swap needed
  Compare -36 and -71
  Swap -36 and -71
  List after swap: [-90, -68, -71, -36, 1, 52]
  Compare -36 and 1
  No swap needed

Pass 3:
  Compare -90 and -68
  No swap needed
  Compare -68 and -71
  Swap -68 and -71
  List after swap: [-90, -71, -68, -36, 1, 52]
  Compare -68 and -36
  No swap needed

Pass 4:
  Compare -90 and -71
  No swap needed
  Compare -71 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -71, -68, -36, 1, 52]
</think>

<response>-90, -71, -68, -36, 1, 52</response>


input: Implement bubble sort on -86, -89, -68, 17, -88, -74, -50, -49 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-86, -89, -68, 17, -88, -74, -50, -49]

Pass 1:
  Compare -86 and -89
  Swap -86 and -89
  List after swap: [-89, -86, -68, 17, -88, -74, -50, -49]
  Compare -86 and -68
  No swap needed
  Compare -68 and 17
  No swap needed
  Compare 17 and -88
  Swap 17 and -88
  List after swap: [-89, -86, -68, -88, 17, -74, -50, -49]
  Compare 17 and -74
  Swap 17 and -74
  List after swap: [-89, -86, -68, -88, -74, 17, -50, -49]
  Compare 17 and -50
  Swap 17 and -50
  List after swap: [-89, -86, -68, -88, -74, -50, 17, -49]
  Compare 17 and -49
  Swap 17 and -49
  List after swap: [-89, -86, -68, -88, -74, -50, -49, 17]

Pass 2:
  Compare -89 and -86
  No swap needed
  Compare -86 and -68
  No swap needed
  Compare -68 and -88
  Swap -68 and -88
  List after swap: [-89, -86, -88, -68, -74, -50, -49, 17]
  Compare -68 and -74
  Swap -68 and -74
  List after swap: [-89, -86, -88, -74, -68, -50, -49, 17]
  Compare -68 and -50
  No swap needed
  Compare -50 and -49
  No swap needed

Pass 3:
  Compare -89 and -86
  No swap needed
  Compare -86 and -88
  Swap -86 and -88
  List after swap: [-89, -88, -86, -74, -68, -50, -49, 17]
  Compare -86 and -74
  No swap needed
  Compare -74 and -68
  No swap needed
  Compare -68 and -50
  No swap needed

Pass 4:
  Compare -89 and -88
  No swap needed
  Compare -88 and -86
  No swap needed
  Compare -86 and -74
  No swap needed
  Compare -74 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -88, -86, -74, -68, -50, -49, 17]
</think>

<response>-89, -88, -86, -74, -68, -50, -49, 17</response>


input: Demonstrate how bubble sort orders the integers 47, 59, 54, 66, -38, -92, 51, 14, -99 in ascending sequence, showing all steps.

output:
<think>
Initial list: [47, 59, 54, 66, -38, -92, 51, 14, -99]

Pass 1:
  Compare 47 and 59
  No swap needed
  Compare 59 and 54
  Swap 59 and 54
  List after swap: [47, 54, 59, 66, -38, -92, 51, 14, -99]
  Compare 59 and 66
  No swap needed
  Compare 66 and -38
  Swap 66 and -38
  List after swap: [47, 54, 59, -38, 66, -92, 51, 14, -99]
  Compare 66 and -92
  Swap 66 and -92
  List after swap: [47, 54, 59, -38, -92, 66, 51, 14, -99]
  Compare 66 and 51
  Swap 66 and 51
  List after swap: [47, 54, 59, -38, -92, 51, 66, 14, -99]
  Compare 66 and 14
  Swap 66 and 14
  List after swap: [47, 54, 59, -38, -92, 51, 14, 66, -99]
  Compare 66 and -99
  Swap 66 and -99
  List after swap: [47, 54, 59, -38, -92, 51, 14, -99, 66]

Pass 2:
  Compare 47 and 54
  No swap needed
  Compare 54 and 59
  No swap needed
  Compare 59 and -38
  Swap 59 and -38
  List after swap: [47, 54, -38, 59, -92, 51, 14, -99, 66]
  Compare 59 and -92
  Swap 59 and -92
  List after swap: [47, 54, -38, -92, 59, 51, 14, -99, 66]
  Compare 59 and 51
  Swap 59 and 51
  List after swap: [47, 54, -38, -92, 51, 59, 14, -99, 66]
  Compare 59 and 14
  Swap 59 and 14
  List after swap: [47, 54, -38, -92, 51, 14, 59, -99, 66]
  Compare 59 and -99
  Swap 59 and -99
  List after swap: [47, 54, -38, -92, 51, 14, -99, 59, 66]

Pass 3:
  Compare 47 and 54
  No swap needed
  Compare 54 and -38
  Swap 54 and -38
  List after swap: [47, -38, 54, -92, 51, 14, -99, 59, 66]
  Compare 54 and -92
  Swap 54 and -92
  List after swap: [47, -38, -92, 54, 51, 14, -99, 59, 66]
  Compare 54 and 51
  Swap 54 and 51
  List after swap: [47, -38, -92, 51, 54, 14, -99, 59, 66]
  Compare 54 and 14
  Swap 54 and 14
  List after swap: [47, -38, -92, 51, 14, 54, -99, 59, 66]
  Compare 54 and -99
  Swap 54 and -99
  List after swap: [47, -38, -92, 51, 14, -99, 54, 59, 66]

Pass 4:
  Compare 47 and -38
  Swap 47 and -38
  List after swap: [-38, 47, -92, 51, 14, -99, 54, 59, 66]
  Compare 47 and -92
  Swap 47 and -92
  List after swap: [-38, -92, 47, 51, 14, -99, 54, 59, 66]
  Compare 47 and 51
  No swap needed
  Compare 51 and 14
  Swap 51 and 14
  List after swap: [-38, -92, 47, 14, 51, -99, 54, 59, 66]
  Compare 51 and -99
  Swap 51 and -99
  List after swap: [-38, -92, 47, 14, -99, 51, 54, 59, 66]

Pass 5:
  Compare -38 and -92
  Swap -38 and -92
  List after swap: [-92, -38, 47, 14, -99, 51, 54, 59, 66]
  Compare -38 and 47
  No swap needed
  Compare 47 and 14
  Swap 47 and 14
  List after swap: [-92, -38, 14, 47, -99, 51, 54, 59, 66]
  Compare 47 and -99
  Swap 47 and -99
  List after swap: [-92, -38, 14, -99, 47, 51, 54, 59, 66]

Pass 6:
  Compare -92 and -38
  No swap needed
  Compare -38 and 14
  No swap needed
  Compare 14 and -99
  Swap 14 and -99
  List after swap: [-92, -38, -99, 14, 47, 51, 54, 59, 66]

Pass 7:
  Compare -92 and -38
  No swap needed
  Compare -38 and -99
  Swap -38 and -99
  List after swap: [-92, -99, -38, 14, 47, 51, 54, 59, 66]

Pass 8:
  Compare -92 and -99
  Swap -92 and -99
  List after swap: [-99, -92, -38, 14, 47, 51, 54, 59, 66]

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

Final sorted list: [-99, -92, -38, 14, 47, 51, 54, 59, 66]
</think>

<response>-99, -92, -38, 14, 47, 51, 54, 59, 66</response>


input: Arrange the numbers 3, 61, -59, -93, -42, -31, 5 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [3, 61, -59, -93, -42, -31, 5]

Pass 1:
  Compare 3 and 61
  No swap needed
  Compare 61 and -59
  Swap 61 and -59
  List after swap: [3, -59, 61, -93, -42, -31, 5]
  Compare 61 and -93
  Swap 61 and -93
  List after swap: [3, -59, -93, 61, -42, -31, 5]
  Compare 61 and -42
  Swap 61 and -42
  List after swap: [3, -59, -93, -42, 61, -31, 5]
  Compare 61 and -31
  Swap 61 and -31
  List after swap: [3, -59, -93, -42, -31, 61, 5]
  Compare 61 and 5
  Swap 61 and 5
  List after swap: [3, -59, -93, -42, -31, 5, 61]

Pass 2:
  Compare 3 and -59
  Swap 3 and -59
  List after swap: [-59, 3, -93, -42, -31, 5, 61]
  Compare 3 and -93
  Swap 3 and -93
  List after swap: [-59, -93, 3, -42, -31, 5, 61]
  Compare 3 and -42
  Swap 3 and -42
  List after swap: [-59, -93, -42, 3, -31, 5, 61]
  Compare 3 and -31
  Swap 3 and -31
  List after swap: [-59, -93, -42, -31, 3, 5, 61]
  Compare 3 and 5
  No swap needed

Pass 3:
  Compare -59 and -93
  Swap -59 and -93
  List after swap: [-93, -59, -42, -31, 3, 5, 61]
  Compare -59 and -42
  No swap needed
  Compare -42 and -31
  No swap needed
  Compare -31 and 3
  No swap needed

Pass 4:
  Compare -93 and -59
  No swap needed
  Compare -59 and -42
  No swap needed
  Compare -42 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -59, -42, -31, 3, 5, 61]
</think>

<response>-93, -59, -42, -31, 3, 5, 61</response>


input: Execute bubble sort to sort 23, -23, -10, -40, 34, 71, -20, 69, 1, -8 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [23, -23, -10, -40, 34, 71, -20, 69, 1, -8]

Pass 1:
  Compare 23 and -23
  Swap 23 and -23
  List after swap: [-23, 23, -10, -40, 34, 71, -20, 69, 1, -8]
  Compare 23 and -10
  Swap 23 and -10
  List after swap: [-23, -10, 23, -40, 34, 71, -20, 69, 1, -8]
  Compare 23 and -40
  Swap 23 and -40
  List after swap: [-23, -10, -40, 23, 34, 71, -20, 69, 1, -8]
  Compare 23 and 34
  No swap needed
  Compare 34 and 71
  No swap needed
  Compare 71 and -20
  Swap 71 and -20
  List after swap: [-23, -10, -40, 23, 34, -20, 71, 69, 1, -8]
  Compare 71 and 69
  Swap 71 and 69
  List after swap: [-23, -10, -40, 23, 34, -20, 69, 71, 1, -8]
  Compare 71 and 1
  Swap 71 and 1
  List after swap: [-23, -10, -40, 23, 34, -20, 69, 1, 71, -8]
  Compare 71 and -8
  Swap 71 and -8
  List after swap: [-23, -10, -40, 23, 34, -20, 69, 1, -8, 71]

Pass 2:
  Compare -23 and -10
  No swap needed
  Compare -10 and -40
  Swap -10 and -40
  List after swap: [-23, -40, -10, 23, 34, -20, 69, 1, -8, 71]
  Compare -10 and 23
  No swap needed
  Compare 23 and 34
  No swap needed
  Compare 34 and -20
  Swap 34 and -20
  List after swap: [-23, -40, -10, 23, -20, 34, 69, 1, -8, 71]
  Compare 34 and 69
  No swap needed
  Compare 69 and 1
  Swap 69 and 1
  List after swap: [-23, -40, -10, 23, -20, 34, 1, 69, -8, 71]
  Compare 69 and -8
  Swap 69 and -8
  List after swap: [-23, -40, -10, 23, -20, 34, 1, -8, 69, 71]

Pass 3:
  Compare -23 and -40
  Swap -23 and -40
  List after swap: [-40, -23, -10, 23, -20, 34, 1, -8, 69, 71]
  Compare -23 and -10
  No swap needed
  Compare -10 and 23
  No swap needed
  Compare 23 and -20
  Swap 23 and -20
  List after swap: [-40, -23, -10, -20, 23, 34, 1, -8, 69, 71]
  Compare 23 and 34
  No swap needed
  Compare 34 and 1
  Swap 34 and 1
  List after swap: [-40, -23, -10, -20, 23, 1, 34, -8, 69, 71]
  Compare 34 and -8
  Swap 34 and -8
  List after swap: [-40, -23, -10, -20, 23, 1, -8, 34, 69, 71]

Pass 4:
  Compare -40 and -23
  No swap needed
  Compare -23 and -10
  No swap needed
  Compare -10 and -20
  Swap -10 and -20
  List after swap: [-40, -23, -20, -10, 23, 1, -8, 34, 69, 71]
  Compare -10 and 23
  No swap needed
  Compare 23 and 1
  Swap 23 and 1
  List after swap: [-40, -23, -20, -10, 1, 23, -8, 34, 69, 71]
  Compare 23 and -8
  Swap 23 and -8
  List after swap: [-40, -23, -20, -10, 1, -8, 23, 34, 69, 71]

Pass 5:
  Compare -40 and -23
  No swap needed
  Compare -23 and -20
  No swap needed
  Compare -20 and -10
  No swap needed
  Compare -10 and 1
  No swap needed
  Compare 1 and -8
  Swap 1 and -8
  List after swap: [-40, -23, -20, -10, -8, 1, 23, 34, 69, 71]

Pass 6:
  Compare -40 and -23
  No swap needed
  Compare -23 and -20
  No swap needed
  Compare -20 and -10
  No swap needed
  Compare -10 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-40, -23, -20, -10, -8, 1, 23, 34, 69, 71]
</think>

<response>-40, -23, -20, -10, -8, 1, 23, 34, 69, 71</response>


input: Sort these integers -83, -95, 38, 49, -68, -16 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-83, -95, 38, 49, -68, -16]

Pass 1:
  Compare -83 and -95
  Swap -83 and -95
  List after swap: [-95, -83, 38, 49, -68, -16]
  Compare -83 and 38
  No swap needed
  Compare 38 and 49
  No swap needed
  Compare 49 and -68
  Swap 49 and -68
  List after swap: [-95, -83, 38, -68, 49, -16]
  Compare 49 and -16
  Swap 49 and -16
  List after swap: [-95, -83, 38, -68, -16, 49]

Pass 2:
  Compare -95 and -83
  No swap needed
  Compare -83 and 38
  No swap needed
  Compare 38 and -68
  Swap 38 and -68
  List after swap: [-95, -83, -68, 38, -16, 49]
  Compare 38 and -16
  Swap 38 and -16
  List after swap: [-95, -83, -68, -16, 38, 49]

Pass 3:
  Compare -95 and -83
  No swap needed
  Compare -83 and -68
  No swap needed
  Compare -68 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -83, -68, -16, 38, 49]
</think>

<response>-95, -83, -68, -16, 38, 49</response>


input: Demonstrate how bubble sort orders the integers 10, 94, -86, -54, -3 in ascending sequence, showing all steps.

output:
<think>
Initial list: [10, 94, -86, -54, -3]

Pass 1:
  Compare 10 and 94
  No swap needed
  Compare 94 and -86
  Swap 94 and -86
  List after swap: [10, -86, 94, -54, -3]
  Compare 94 and -54
  Swap 94 and -54
  List after swap: [10, -86, -54, 94, -3]
  Compare 94 and -3
  Swap 94 and -3
  List after swap: [10, -86, -54, -3, 94]

Pass 2:
  Compare 10 and -86
  Swap 10 and -86
  List after swap: [-86, 10, -54, -3, 94]
  Compare 10 and -54
  Swap 10 and -54
  List after swap: [-86, -54, 10, -3, 94]
  Compare 10 and -3
  Swap 10 and -3
  List after swap: [-86, -54, -3, 10, 94]

Pass 3:
  Compare -86 and -54
  No swap needed
  Compare -54 and -3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -54, -3, 10, 94]
</think>

<response>-86, -54, -3, 10, 94</response>


input: Execute bubble sort to sort 45, 9, 33, 85, 22 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [45, 9, 33, 85, 22]

Pass 1:
  Compare 45 and 9
  Swap 45 and 9
  List after swap: [9, 45, 33, 85, 22]
  Compare 45 and 33
  Swap 45 and 33
  List after swap: [9, 33, 45, 85, 22]
  Compare 45 and 85
  No swap needed
  Compare 85 and 22
  Swap 85 and 22
  List after swap: [9, 33, 45, 22, 85]

Pass 2:
  Compare 9 and 33
  No swap needed
  Compare 33 and 45
  No swap needed
  Compare 45 and 22
  Swap 45 and 22
  List after swap: [9, 33, 22, 45, 85]

Pass 3:
  Compare 9 and 33
  No swap needed
  Compare 33 and 22
  Swap 33 and 22
  List after swap: [9, 22, 33, 45, 85]

Pass 4:
  Compare 9 and 22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [9, 22, 33, 45, 85]
</think>

<response>9, 22, 33, 45, 85</response>


input: Implement bubble sort on 58, -54, 44, 72, -34, -26 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [58, -54, 44, 72, -34, -26]

Pass 1:
  Compare 58 and -54
  Swap 58 and -54
  List after swap: [-54, 58, 44, 72, -34, -26]
  Compare 58 and 44
  Swap 58 and 44
  List after swap: [-54, 44, 58, 72, -34, -26]
  Compare 58 and 72
  No swap needed
  Compare 72 and -34
  Swap 72 and -34
  List after swap: [-54, 44, 58, -34, 72, -26]
  Compare 72 and -26
  Swap 72 and -26
  List after swap: [-54, 44, 58, -34, -26, 72]

Pass 2:
  Compare -54 and 44
  No swap needed
  Compare 44 and 58
  No swap needed
  Compare 58 and -34
  Swap 58 and -34
  List after swap: [-54, 44, -34, 58, -26, 72]
  Compare 58 and -26
  Swap 58 and -26
  List after swap: [-54, 44, -34, -26, 58, 72]

Pass 3:
  Compare -54 and 44
  No swap needed
  Compare 44 and -34
  Swap 44 and -34
  List after swap: [-54, -34, 44, -26, 58, 72]
  Compare 44 and -26
  Swap 44 and -26
  List after swap: [-54, -34, -26, 44, 58, 72]

Pass 4:
  Compare -54 and -34
  No swap needed
  Compare -34 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-54, -34, -26, 44, 58, 72]
</think>

<response>-54, -34, -26, 44, 58, 72</response>


input: Using the bubble sort method, sort -11, -34, -30, -38 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-11, -34, -30, -38]

Pass 1:
  Compare -11 and -34
  Swap -11 and -34
  List after swap: [-34, -11, -30, -38]
  Compare -11 and -30
  Swap -11 and -30
  List after swap: [-34, -30, -11, -38]
  Compare -11 and -38
  Swap -11 and -38
  List after swap: [-34, -30, -38, -11]

Pass 2:
  Compare -34 and -30
  No swap needed
  Compare -30 and -38
  Swap -30 and -38
  List after swap: [-34, -38, -30, -11]

Pass 3:
  Compare -34 and -38
  Swap -34 and -38
  List after swap: [-38, -34, -30, -11]

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

Final sorted list: [-38, -34, -30, -11]
</think>

<response>-38, -34, -30, -11</response>


input: Sort these integers -2, -74, -95, -30, -84, 63, -55, 61, -90, -22 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-2, -74, -95, -30, -84, 63, -55, 61, -90, -22]

Pass 1:
  Compare -2 and -74
  Swap -2 and -74
  List after swap: [-74, -2, -95, -30, -84, 63, -55, 61, -90, -22]
  Compare -2 and -95
  Swap -2 and -95
  List after swap: [-74, -95, -2, -30, -84, 63, -55, 61, -90, -22]
  Compare -2 and -30
  Swap -2 and -30
  List after swap: [-74, -95, -30, -2, -84, 63, -55, 61, -90, -22]
  Compare -2 and -84
  Swap -2 and -84
  List after swap: [-74, -95, -30, -84, -2, 63, -55, 61, -90, -22]
  Compare -2 and 63
  No swap needed
  Compare 63 and -55
  Swap 63 and -55
  List after swap: [-74, -95, -30, -84, -2, -55, 63, 61, -90, -22]
  Compare 63 and 61
  Swap 63 and 61
  List after swap: [-74, -95, -30, -84, -2, -55, 61, 63, -90, -22]
  Compare 63 and -90
  Swap 63 and -90
  List after swap: [-74, -95, -30, -84, -2, -55, 61, -90, 63, -22]
  Compare 63 and -22
  Swap 63 and -22
  List after swap: [-74, -95, -30, -84, -2, -55, 61, -90, -22, 63]

Pass 2:
  Compare -74 and -95
  Swap -74 and -95
  List after swap: [-95, -74, -30, -84, -2, -55, 61, -90, -22, 63]
  Compare -74 and -30
  No swap needed
  Compare -30 and -84
  Swap -30 and -84
  List after swap: [-95, -74, -84, -30, -2, -55, 61, -90, -22, 63]
  Compare -30 and -2
  No swap needed
  Compare -2 and -55
  Swap -2 and -55
  List after swap: [-95, -74, -84, -30, -55, -2, 61, -90, -22, 63]
  Compare -2 and 61
  No swap needed
  Compare 61 and -90
  Swap 61 and -90
  List after swap: [-95, -74, -84, -30, -55, -2, -90, 61, -22, 63]
  Compare 61 and -22
  Swap 61 and -22
  List after swap: [-95, -74, -84, -30, -55, -2, -90, -22, 61, 63]

Pass 3:
  Compare -95 and -74
  No swap needed
  Compare -74 and -84
  Swap -74 and -84
  List after swap: [-95, -84, -74, -30, -55, -2, -90, -22, 61, 63]
  Compare -74 and -30
  No swap needed
  Compare -30 and -55
  Swap -30 and -55
  List after swap: [-95, -84, -74, -55, -30, -2, -90, -22, 61, 63]
  Compare -30 and -2
  No swap needed
  Compare -2 and -90
  Swap -2 and -90
  List after swap: [-95, -84, -74, -55, -30, -90, -2, -22, 61, 63]
  Compare -2 and -22
  Swap -2 and -22
  List after swap: [-95, -84, -74, -55, -30, -90, -22, -2, 61, 63]

Pass 4:
  Compare -95 and -84
  No swap needed
  Compare -84 and -74
  No swap needed
  Compare -74 and -55
  No swap needed
  Compare -55 and -30
  No swap needed
  Compare -30 and -90
  Swap -30 and -90
  List after swap: [-95, -84, -74, -55, -90, -30, -22, -2, 61, 63]
  Compare -30 and -22
  No swap needed

Pass 5:
  Compare -95 and -84
  No swap needed
  Compare -84 and -74
  No swap needed
  Compare -74 and -55
  No swap needed
  Compare -55 and -90
  Swap -55 and -90
  List after swap: [-95, -84, -74, -90, -55, -30, -22, -2, 61, 63]
  Compare -55 and -30
  No swap needed

Pass 6:
  Compare -95 and -84
  No swap needed
  Compare -84 and -74
  No swap needed
  Compare -74 and -90
  Swap -74 and -90
  List after swap: [-95, -84, -90, -74, -55, -30, -22, -2, 61, 63]
  Compare -74 and -55
  No swap needed

Pass 7:
  Compare -95 and -84
  No swap needed
  Compare -84 and -90
  Swap -84 and -90
  List after swap: [-95, -90, -84, -74, -55, -30, -22, -2, 61, 63]
  Compare -84 and -74
  No swap needed

Pass 8:
  Compare -95 and -90
  No swap needed
  Compare -90 and -84
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -90, -84, -74, -55, -30, -22, -2, 61, 63]
</think>

<response>-95, -90, -84, -74, -55, -30, -22, -2, 61, 63</response>


input: Execute bubble sort to sort 66, -17 in increasing order and detail each phase of the sorting process.

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

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

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

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

<response>-17, 66</response>


input: Using the bubble sort method, sort -21, 88, 44, -2 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-21, 88, 44, -2]

Pass 1:
  Compare -21 and 88
  No swap needed
  Compare 88 and 44
  Swap 88 and 44
  List after swap: [-21, 44, 88, -2]
  Compare 88 and -2
  Swap 88 and -2
  List after swap: [-21, 44, -2, 88]

Pass 2:
  Compare -21 and 44
  No swap needed
  Compare 44 and -2
  Swap 44 and -2
  List after swap: [-21, -2, 44, 88]

Pass 3:
  Compare -21 and -2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-21, -2, 44, 88]
</think>

<response>-21, -2, 44, 88</response>


input: Perform a bubble sort on the integers 83, -55, 20, -1, 88, 57, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [83, -55, 20, -1, 88, 57]

Pass 1:
  Compare 83 and -55
  Swap 83 and -55
  List after swap: [-55, 83, 20, -1, 88, 57]
  Compare 83 and 20
  Swap 83 and 20
  List after swap: [-55, 20, 83, -1, 88, 57]
  Compare 83 and -1
  Swap 83 and -1
  List after swap: [-55, 20, -1, 83, 88, 57]
  Compare 83 and 88
  No swap needed
  Compare 88 and 57
  Swap 88 and 57
  List after swap: [-55, 20, -1, 83, 57, 88]

Pass 2:
  Compare -55 and 20
  No swap needed
  Compare 20 and -1
  Swap 20 and -1
  List after swap: [-55, -1, 20, 83, 57, 88]
  Compare 20 and 83
  No swap needed
  Compare 83 and 57
  Swap 83 and 57
  List after swap: [-55, -1, 20, 57, 83, 88]

Pass 3:
  Compare -55 and -1
  No swap needed
  Compare -1 and 20
  No swap needed
  Compare 20 and 57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, -1, 20, 57, 83, 88]
</think>

<response>-55, -1, 20, 57, 83, 88</response>


input: Using the bubble sort method, sort 11, -64, 83, 50 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [11, -64, 83, 50]

Pass 1:
  Compare 11 and -64
  Swap 11 and -64
  List after swap: [-64, 11, 83, 50]
  Compare 11 and 83
  No swap needed
  Compare 83 and 50
  Swap 83 and 50
  List after swap: [-64, 11, 50, 83]

Pass 2:
  Compare -64 and 11
  No swap needed
  Compare 11 and 50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, 11, 50, 83]
</think>

<response>-64, 11, 50, 83</response>


input: Sort the list 25, 27, -81 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [25, 27, -81]

Pass 1:
  Compare 25 and 27
  No swap needed
  Compare 27 and -81
  Swap 27 and -81
  List after swap: [25, -81, 27]

Pass 2:
  Compare 25 and -81
  Swap 25 and -81
  List after swap: [-81, 25, 27]

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

Final sorted list: [-81, 25, 27]
</think>

<response>-81, 25, 27</response>


input: Use the bubble sort technique to reorder -32, -9 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-32, -9]

Pass 1:
  Compare -32 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-32, -9]
</think>

<response>-32, -9</response>


input: Sort these integers -16, 13, -62, 90, 24, 68, -15, 97, -93 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-16, 13, -62, 90, 24, 68, -15, 97, -93]

Pass 1:
  Compare -16 and 13
  No swap needed
  Compare 13 and -62
  Swap 13 and -62
  List after swap: [-16, -62, 13, 90, 24, 68, -15, 97, -93]
  Compare 13 and 90
  No swap needed
  Compare 90 and 24
  Swap 90 and 24
  List after swap: [-16, -62, 13, 24, 90, 68, -15, 97, -93]
  Compare 90 and 68
  Swap 90 and 68
  List after swap: [-16, -62, 13, 24, 68, 90, -15, 97, -93]
  Compare 90 and -15
  Swap 90 and -15
  List after swap: [-16, -62, 13, 24, 68, -15, 90, 97, -93]
  Compare 90 and 97
  No swap needed
  Compare 97 and -93
  Swap 97 and -93
  List after swap: [-16, -62, 13, 24, 68, -15, 90, -93, 97]

Pass 2:
  Compare -16 and -62
  Swap -16 and -62
  List after swap: [-62, -16, 13, 24, 68, -15, 90, -93, 97]
  Compare -16 and 13
  No swap needed
  Compare 13 and 24
  No swap needed
  Compare 24 and 68
  No swap needed
  Compare 68 and -15
  Swap 68 and -15
  List after swap: [-62, -16, 13, 24, -15, 68, 90, -93, 97]
  Compare 68 and 90
  No swap needed
  Compare 90 and -93
  Swap 90 and -93
  List after swap: [-62, -16, 13, 24, -15, 68, -93, 90, 97]

Pass 3:
  Compare -62 and -16
  No swap needed
  Compare -16 and 13
  No swap needed
  Compare 13 and 24
  No swap needed
  Compare 24 and -15
  Swap 24 and -15
  List after swap: [-62, -16, 13, -15, 24, 68, -93, 90, 97]
  Compare 24 and 68
  No swap needed
  Compare 68 and -93
  Swap 68 and -93
  List after swap: [-62, -16, 13, -15, 24, -93, 68, 90, 97]

Pass 4:
  Compare -62 and -16
  No swap needed
  Compare -16 and 13
  No swap needed
  Compare 13 and -15
  Swap 13 and -15
  List after swap: [-62, -16, -15, 13, 24, -93, 68, 90, 97]
  Compare 13 and 24
  No swap needed
  Compare 24 and -93
  Swap 24 and -93
  List after swap: [-62, -16, -15, 13, -93, 24, 68, 90, 97]

Pass 5:
  Compare -62 and -16
  No swap needed
  Compare -16 and -15
  No swap needed
  Compare -15 and 13
  No swap needed
  Compare 13 and -93
  Swap 13 and -93
  List after swap: [-62, -16, -15, -93, 13, 24, 68, 90, 97]

Pass 6:
  Compare -62 and -16
  No swap needed
  Compare -16 and -15
  No swap needed
  Compare -15 and -93
  Swap -15 and -93
  List after swap: [-62, -16, -93, -15, 13, 24, 68, 90, 97]

Pass 7:
  Compare -62 and -16
  No swap needed
  Compare -16 and -93
  Swap -16 and -93
  List after swap: [-62, -93, -16, -15, 13, 24, 68, 90, 97]

Pass 8:
  Compare -62 and -93
  Swap -62 and -93
  List after swap: [-93, -62, -16, -15, 13, 24, 68, 90, 97]

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

Final sorted list: [-93, -62, -16, -15, 13, 24, 68, 90, 97]
</think>

<response>-93, -62, -16, -15, 13, 24, 68, 90, 97</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 2, 70, 34, 6.

output:
<think>
Initial list: [2, 70, 34, 6]

Pass 1:
  Compare 2 and 70
  No swap needed
  Compare 70 and 34
  Swap 70 and 34
  List after swap: [2, 34, 70, 6]
  Compare 70 and 6
  Swap 70 and 6
  List after swap: [2, 34, 6, 70]

Pass 2:
  Compare 2 and 34
  No swap needed
  Compare 34 and 6
  Swap 34 and 6
  List after swap: [2, 6, 34, 70]

Pass 3:
  Compare 2 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [2, 6, 34, 70]
</think>

<response>2, 6, 34, 70</response>


input: Arrange the numbers 88, 32, -47, -44, -54, -72, -60, 79, 60, 61 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [88, 32, -47, -44, -54, -72, -60, 79, 60, 61]

Pass 1:
  Compare 88 and 32
  Swap 88 and 32
  List after swap: [32, 88, -47, -44, -54, -72, -60, 79, 60, 61]
  Compare 88 and -47
  Swap 88 and -47
  List after swap: [32, -47, 88, -44, -54, -72, -60, 79, 60, 61]
  Compare 88 and -44
  Swap 88 and -44
  List after swap: [32, -47, -44, 88, -54, -72, -60, 79, 60, 61]
  Compare 88 and -54
  Swap 88 and -54
  List after swap: [32, -47, -44, -54, 88, -72, -60, 79, 60, 61]
  Compare 88 and -72
  Swap 88 and -72
  List after swap: [32, -47, -44, -54, -72, 88, -60, 79, 60, 61]
  Compare 88 and -60
  Swap 88 and -60
  List after swap: [32, -47, -44, -54, -72, -60, 88, 79, 60, 61]
  Compare 88 and 79
  Swap 88 and 79
  List after swap: [32, -47, -44, -54, -72, -60, 79, 88, 60, 61]
  Compare 88 and 60
  Swap 88 and 60
  List after swap: [32, -47, -44, -54, -72, -60, 79, 60, 88, 61]
  Compare 88 and 61
  Swap 88 and 61
  List after swap: [32, -47, -44, -54, -72, -60, 79, 60, 61, 88]

Pass 2:
  Compare 32 and -47
  Swap 32 and -47
  List after swap: [-47, 32, -44, -54, -72, -60, 79, 60, 61, 88]
  Compare 32 and -44
  Swap 32 and -44
  List after swap: [-47, -44, 32, -54, -72, -60, 79, 60, 61, 88]
  Compare 32 and -54
  Swap 32 and -54
  List after swap: [-47, -44, -54, 32, -72, -60, 79, 60, 61, 88]
  Compare 32 and -72
  Swap 32 and -72
  List after swap: [-47, -44, -54, -72, 32, -60, 79, 60, 61, 88]
  Compare 32 and -60
  Swap 32 and -60
  List after swap: [-47, -44, -54, -72, -60, 32, 79, 60, 61, 88]
  Compare 32 and 79
  No swap needed
  Compare 79 and 60
  Swap 79 and 60
  List after swap: [-47, -44, -54, -72, -60, 32, 60, 79, 61, 88]
  Compare 79 and 61
  Swap 79 and 61
  List after swap: [-47, -44, -54, -72, -60, 32, 60, 61, 79, 88]

Pass 3:
  Compare -47 and -44
  No swap needed
  Compare -44 and -54
  Swap -44 and -54
  List after swap: [-47, -54, -44, -72, -60, 32, 60, 61, 79, 88]
  Compare -44 and -72
  Swap -44 and -72
  List after swap: [-47, -54, -72, -44, -60, 32, 60, 61, 79, 88]
  Compare -44 and -60
  Swap -44 and -60
  List after swap: [-47, -54, -72, -60, -44, 32, 60, 61, 79, 88]
  Compare -44 and 32
  No swap needed
  Compare 32 and 60
  No swap needed
  Compare 60 and 61
  No swap needed

Pass 4:
  Compare -47 and -54
  Swap -47 and -54
  List after swap: [-54, -47, -72, -60, -44, 32, 60, 61, 79, 88]
  Compare -47 and -72
  Swap -47 and -72
  List after swap: [-54, -72, -47, -60, -44, 32, 60, 61, 79, 88]
  Compare -47 and -60
  Swap -47 and -60
  List after swap: [-54, -72, -60, -47, -44, 32, 60, 61, 79, 88]
  Compare -47 and -44
  No swap needed
  Compare -44 and 32
  No swap needed
  Compare 32 and 60
  No swap needed

Pass 5:
  Compare -54 and -72
  Swap -54 and -72
  List after swap: [-72, -54, -60, -47, -44, 32, 60, 61, 79, 88]
  Compare -54 and -60
  Swap -54 and -60
  List after swap: [-72, -60, -54, -47, -44, 32, 60, 61, 79, 88]
  Compare -54 and -47
  No swap needed
  Compare -47 and -44
  No swap needed
  Compare -44 and 32
  No swap needed

Pass 6:
  Compare -72 and -60
  No swap needed
  Compare -60 and -54
  No swap needed
  Compare -54 and -47
  No swap needed
  Compare -47 and -44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -60, -54, -47, -44, 32, 60, 61, 79, 88]
</think>

<response>-72, -60, -54, -47, -44, 32, 60, 61, 79, 88</response>


input: Execute bubble sort to sort -83, -85 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-83, -85]

Pass 1:
  Compare -83 and -85
  Swap -83 and -85
  List after swap: [-85, -83]

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

Final sorted list: [-85, -83]
</think>

<response>-85, -83</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -53, 30, 1, 36, 77.

output:
<think>
Initial list: [-53, 30, 1, 36, 77]

Pass 1:
  Compare -53 and 30
  No swap needed
  Compare 30 and 1
  Swap 30 and 1
  List after swap: [-53, 1, 30, 36, 77]
  Compare 30 and 36
  No swap needed
  Compare 36 and 77
  No swap needed

Pass 2:
  Compare -53 and 1
  No swap needed
  Compare 1 and 30
  No swap needed
  Compare 30 and 36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-53, 1, 30, 36, 77]
</think>

<response>-53, 1, 30, 36, 77</response>


input: Sort the list 22, 77, -42, -38, -80 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [22, 77, -42, -38, -80]

Pass 1:
  Compare 22 and 77
  No swap needed
  Compare 77 and -42
  Swap 77 and -42
  List after swap: [22, -42, 77, -38, -80]
  Compare 77 and -38
  Swap 77 and -38
  List after swap: [22, -42, -38, 77, -80]
  Compare 77 and -80
  Swap 77 and -80
  List after swap: [22, -42, -38, -80, 77]

Pass 2:
  Compare 22 and -42
  Swap 22 and -42
  List after swap: [-42, 22, -38, -80, 77]
  Compare 22 and -38
  Swap 22 and -38
  List after swap: [-42, -38, 22, -80, 77]
  Compare 22 and -80
  Swap 22 and -80
  List after swap: [-42, -38, -80, 22, 77]

Pass 3:
  Compare -42 and -38
  No swap needed
  Compare -38 and -80
  Swap -38 and -80
  List after swap: [-42, -80, -38, 22, 77]

Pass 4:
  Compare -42 and -80
  Swap -42 and -80
  List after swap: [-80, -42, -38, 22, 77]

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

Final sorted list: [-80, -42, -38, 22, 77]
</think>

<response>-80, -42, -38, 22, 77</response>


input: Sort these integers 3, 87, 97, 69, -30, -35, 44, -75, -55 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [3, 87, 97, 69, -30, -35, 44, -75, -55]

Pass 1:
  Compare 3 and 87
  No swap needed
  Compare 87 and 97
  No swap needed
  Compare 97 and 69
  Swap 97 and 69
  List after swap: [3, 87, 69, 97, -30, -35, 44, -75, -55]
  Compare 97 and -30
  Swap 97 and -30
  List after swap: [3, 87, 69, -30, 97, -35, 44, -75, -55]
  Compare 97 and -35
  Swap 97 and -35
  List after swap: [3, 87, 69, -30, -35, 97, 44, -75, -55]
  Compare 97 and 44
  Swap 97 and 44
  List after swap: [3, 87, 69, -30, -35, 44, 97, -75, -55]
  Compare 97 and -75
  Swap 97 and -75
  List after swap: [3, 87, 69, -30, -35, 44, -75, 97, -55]
  Compare 97 and -55
  Swap 97 and -55
  List after swap: [3, 87, 69, -30, -35, 44, -75, -55, 97]

Pass 2:
  Compare 3 and 87
  No swap needed
  Compare 87 and 69
  Swap 87 and 69
  List after swap: [3, 69, 87, -30, -35, 44, -75, -55, 97]
  Compare 87 and -30
  Swap 87 and -30
  List after swap: [3, 69, -30, 87, -35, 44, -75, -55, 97]
  Compare 87 and -35
  Swap 87 and -35
  List after swap: [3, 69, -30, -35, 87, 44, -75, -55, 97]
  Compare 87 and 44
  Swap 87 and 44
  List after swap: [3, 69, -30, -35, 44, 87, -75, -55, 97]
  Compare 87 and -75
  Swap 87 and -75
  List after swap: [3, 69, -30, -35, 44, -75, 87, -55, 97]
  Compare 87 and -55
  Swap 87 and -55
  List after swap: [3, 69, -30, -35, 44, -75, -55, 87, 97]

Pass 3:
  Compare 3 and 69
  No swap needed
  Compare 69 and -30
  Swap 69 and -30
  List after swap: [3, -30, 69, -35, 44, -75, -55, 87, 97]
  Compare 69 and -35
  Swap 69 and -35
  List after swap: [3, -30, -35, 69, 44, -75, -55, 87, 97]
  Compare 69 and 44
  Swap 69 and 44
  List after swap: [3, -30, -35, 44, 69, -75, -55, 87, 97]
  Compare 69 and -75
  Swap 69 and -75
  List after swap: [3, -30, -35, 44, -75, 69, -55, 87, 97]
  Compare 69 and -55
  Swap 69 and -55
  List after swap: [3, -30, -35, 44, -75, -55, 69, 87, 97]

Pass 4:
  Compare 3 and -30
  Swap 3 and -30
  List after swap: [-30, 3, -35, 44, -75, -55, 69, 87, 97]
  Compare 3 and -35
  Swap 3 and -35
  List after swap: [-30, -35, 3, 44, -75, -55, 69, 87, 97]
  Compare 3 and 44
  No swap needed
  Compare 44 and -75
  Swap 44 and -75
  List after swap: [-30, -35, 3, -75, 44, -55, 69, 87, 97]
  Compare 44 and -55
  Swap 44 and -55
  List after swap: [-30, -35, 3, -75, -55, 44, 69, 87, 97]

Pass 5:
  Compare -30 and -35
  Swap -30 and -35
  List after swap: [-35, -30, 3, -75, -55, 44, 69, 87, 97]
  Compare -30 and 3
  No swap needed
  Compare 3 and -75
  Swap 3 and -75
  List after swap: [-35, -30, -75, 3, -55, 44, 69, 87, 97]
  Compare 3 and -55
  Swap 3 and -55
  List after swap: [-35, -30, -75, -55, 3, 44, 69, 87, 97]

Pass 6:
  Compare -35 and -30
  No swap needed
  Compare -30 and -75
  Swap -30 and -75
  List after swap: [-35, -75, -30, -55, 3, 44, 69, 87, 97]
  Compare -30 and -55
  Swap -30 and -55
  List after swap: [-35, -75, -55, -30, 3, 44, 69, 87, 97]

Pass 7:
  Compare -35 and -75
  Swap -35 and -75
  List after swap: [-75, -35, -55, -30, 3, 44, 69, 87, 97]
  Compare -35 and -55
  Swap -35 and -55
  List after swap: [-75, -55, -35, -30, 3, 44, 69, 87, 97]

Pass 8:
  Compare -75 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -55, -35, -30, 3, 44, 69, 87, 97]
</think>

<response>-75, -55, -35, -30, 3, 44, 69, 87, 97</response>


input: Sort these integers 26, 47, 80, 88, 39 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [26, 47, 80, 88, 39]

Pass 1:
  Compare 26 and 47
  No swap needed
  Compare 47 and 80
  No swap needed
  Compare 80 and 88
  No swap needed
  Compare 88 and 39
  Swap 88 and 39
  List after swap: [26, 47, 80, 39, 88]

Pass 2:
  Compare 26 and 47
  No swap needed
  Compare 47 and 80
  No swap needed
  Compare 80 and 39
  Swap 80 and 39
  List after swap: [26, 47, 39, 80, 88]

Pass 3:
  Compare 26 and 47
  No swap needed
  Compare 47 and 39
  Swap 47 and 39
  List after swap: [26, 39, 47, 80, 88]

Pass 4:
  Compare 26 and 39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [26, 39, 47, 80, 88]
</think>

<response>26, 39, 47, 80, 88</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 36, -44, 5.

output:
<think>
Initial list: [36, -44, 5]

Pass 1:
  Compare 36 and -44
  Swap 36 and -44
  List after swap: [-44, 36, 5]
  Compare 36 and 5
  Swap 36 and 5
  List after swap: [-44, 5, 36]

Pass 2:
  Compare -44 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-44, 5, 36]
</think>

<response>-44, 5, 36</response>


input: Carry out the bubble sort algorithm on 41, -30 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [41, -30]

Pass 1:
  Compare 41 and -30
  Swap 41 and -30
  List after swap: [-30, 41]

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

Final sorted list: [-30, 41]
</think>

<response>-30, 41</response>


input: Implement bubble sort on 62, 38, 43, -72, 49, 18, -84 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [62, 38, 43, -72, 49, 18, -84]

Pass 1:
  Compare 62 and 38
  Swap 62 and 38
  List after swap: [38, 62, 43, -72, 49, 18, -84]
  Compare 62 and 43
  Swap 62 and 43
  List after swap: [38, 43, 62, -72, 49, 18, -84]
  Compare 62 and -72
  Swap 62 and -72
  List after swap: [38, 43, -72, 62, 49, 18, -84]
  Compare 62 and 49
  Swap 62 and 49
  List after swap: [38, 43, -72, 49, 62, 18, -84]
  Compare 62 and 18
  Swap 62 and 18
  List after swap: [38, 43, -72, 49, 18, 62, -84]
  Compare 62 and -84
  Swap 62 and -84
  List after swap: [38, 43, -72, 49, 18, -84, 62]

Pass 2:
  Compare 38 and 43
  No swap needed
  Compare 43 and -72
  Swap 43 and -72
  List after swap: [38, -72, 43, 49, 18, -84, 62]
  Compare 43 and 49
  No swap needed
  Compare 49 and 18
  Swap 49 and 18
  List after swap: [38, -72, 43, 18, 49, -84, 62]
  Compare 49 and -84
  Swap 49 and -84
  List after swap: [38, -72, 43, 18, -84, 49, 62]

Pass 3:
  Compare 38 and -72
  Swap 38 and -72
  List after swap: [-72, 38, 43, 18, -84, 49, 62]
  Compare 38 and 43
  No swap needed
  Compare 43 and 18
  Swap 43 and 18
  List after swap: [-72, 38, 18, 43, -84, 49, 62]
  Compare 43 and -84
  Swap 43 and -84
  List after swap: [-72, 38, 18, -84, 43, 49, 62]

Pass 4:
  Compare -72 and 38
  No swap needed
  Compare 38 and 18
  Swap 38 and 18
  List after swap: [-72, 18, 38, -84, 43, 49, 62]
  Compare 38 and -84
  Swap 38 and -84
  List after swap: [-72, 18, -84, 38, 43, 49, 62]

Pass 5:
  Compare -72 and 18
  No swap needed
  Compare 18 and -84
  Swap 18 and -84
  List after swap: [-72, -84, 18, 38, 43, 49, 62]

Pass 6:
  Compare -72 and -84
  Swap -72 and -84
  List after swap: [-84, -72, 18, 38, 43, 49, 62]

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

Final sorted list: [-84, -72, 18, 38, 43, 49, 62]
</think>

<response>-84, -72, 18, 38, 43, 49, 62</response>


input: Execute bubble sort to sort -11, -7, -90, -81, -59, 93, -42 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-11, -7, -90, -81, -59, 93, -42]

Pass 1:
  Compare -11 and -7
  No swap needed
  Compare -7 and -90
  Swap -7 and -90
  List after swap: [-11, -90, -7, -81, -59, 93, -42]
  Compare -7 and -81
  Swap -7 and -81
  List after swap: [-11, -90, -81, -7, -59, 93, -42]
  Compare -7 and -59
  Swap -7 and -59
  List after swap: [-11, -90, -81, -59, -7, 93, -42]
  Compare -7 and 93
  No swap needed
  Compare 93 and -42
  Swap 93 and -42
  List after swap: [-11, -90, -81, -59, -7, -42, 93]

Pass 2:
  Compare -11 and -90
  Swap -11 and -90
  List after swap: [-90, -11, -81, -59, -7, -42, 93]
  Compare -11 and -81
  Swap -11 and -81
  List after swap: [-90, -81, -11, -59, -7, -42, 93]
  Compare -11 and -59
  Swap -11 and -59
  List after swap: [-90, -81, -59, -11, -7, -42, 93]
  Compare -11 and -7
  No swap needed
  Compare -7 and -42
  Swap -7 and -42
  List after swap: [-90, -81, -59, -11, -42, -7, 93]

Pass 3:
  Compare -90 and -81
  No swap needed
  Compare -81 and -59
  No swap needed
  Compare -59 and -11
  No swap needed
  Compare -11 and -42
  Swap -11 and -42
  List after swap: [-90, -81, -59, -42, -11, -7, 93]

Pass 4:
  Compare -90 and -81
  No swap needed
  Compare -81 and -59
  No swap needed
  Compare -59 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -81, -59, -42, -11, -7, 93]
</think>

<response>-90, -81, -59, -42, -11, -7, 93</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -100, 12.

output:
<think>
Initial list: [-100, 12]

Pass 1:
  Compare -100 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, 12]
</think>

<response>-100, 12</response>


input: Demonstrate how bubble sort orders the integers -61, -4, -64, 99, 42, -18, 43, -66 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-61, -4, -64, 99, 42, -18, 43, -66]

Pass 1:
  Compare -61 and -4
  No swap needed
  Compare -4 and -64
  Swap -4 and -64
  List after swap: [-61, -64, -4, 99, 42, -18, 43, -66]
  Compare -4 and 99
  No swap needed
  Compare 99 and 42
  Swap 99 and 42
  List after swap: [-61, -64, -4, 42, 99, -18, 43, -66]
  Compare 99 and -18
  Swap 99 and -18
  List after swap: [-61, -64, -4, 42, -18, 99, 43, -66]
  Compare 99 and 43
  Swap 99 and 43
  List after swap: [-61, -64, -4, 42, -18, 43, 99, -66]
  Compare 99 and -66
  Swap 99 and -66
  List after swap: [-61, -64, -4, 42, -18, 43, -66, 99]

Pass 2:
  Compare -61 and -64
  Swap -61 and -64
  List after swap: [-64, -61, -4, 42, -18, 43, -66, 99]
  Compare -61 and -4
  No swap needed
  Compare -4 and 42
  No swap needed
  Compare 42 and -18
  Swap 42 and -18
  List after swap: [-64, -61, -4, -18, 42, 43, -66, 99]
  Compare 42 and 43
  No swap needed
  Compare 43 and -66
  Swap 43 and -66
  List after swap: [-64, -61, -4, -18, 42, -66, 43, 99]

Pass 3:
  Compare -64 and -61
  No swap needed
  Compare -61 and -4
  No swap needed
  Compare -4 and -18
  Swap -4 and -18
  List after swap: [-64, -61, -18, -4, 42, -66, 43, 99]
  Compare -4 and 42
  No swap needed
  Compare 42 and -66
  Swap 42 and -66
  List after swap: [-64, -61, -18, -4, -66, 42, 43, 99]

Pass 4:
  Compare -64 and -61
  No swap needed
  Compare -61 and -18
  No swap needed
  Compare -18 and -4
  No swap needed
  Compare -4 and -66
  Swap -4 and -66
  List after swap: [-64, -61, -18, -66, -4, 42, 43, 99]

Pass 5:
  Compare -64 and -61
  No swap needed
  Compare -61 and -18
  No swap needed
  Compare -18 and -66
  Swap -18 and -66
  List after swap: [-64, -61, -66, -18, -4, 42, 43, 99]

Pass 6:
  Compare -64 and -61
  No swap needed
  Compare -61 and -66
  Swap -61 and -66
  List after swap: [-64, -66, -61, -18, -4, 42, 43, 99]

Pass 7:
  Compare -64 and -66
  Swap -64 and -66
  List after swap: [-66, -64, -61, -18, -4, 42, 43, 99]

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

Final sorted list: [-66, -64, -61, -18, -4, 42, 43, 99]
</think>

<response>-66, -64, -61, -18, -4, 42, 43, 99</response>


input: Arrange the numbers -35, 93, 68, 66, 13, 49, 41, 90, 71, 38 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-35, 93, 68, 66, 13, 49, 41, 90, 71, 38]

Pass 1:
  Compare -35 and 93
  No swap needed
  Compare 93 and 68
  Swap 93 and 68
  List after swap: [-35, 68, 93, 66, 13, 49, 41, 90, 71, 38]
  Compare 93 and 66
  Swap 93 and 66
  List after swap: [-35, 68, 66, 93, 13, 49, 41, 90, 71, 38]
  Compare 93 and 13
  Swap 93 and 13
  List after swap: [-35, 68, 66, 13, 93, 49, 41, 90, 71, 38]
  Compare 93 and 49
  Swap 93 and 49
  List after swap: [-35, 68, 66, 13, 49, 93, 41, 90, 71, 38]
  Compare 93 and 41
  Swap 93 and 41
  List after swap: [-35, 68, 66, 13, 49, 41, 93, 90, 71, 38]
  Compare 93 and 90
  Swap 93 and 90
  List after swap: [-35, 68, 66, 13, 49, 41, 90, 93, 71, 38]
  Compare 93 and 71
  Swap 93 and 71
  List after swap: [-35, 68, 66, 13, 49, 41, 90, 71, 93, 38]
  Compare 93 and 38
  Swap 93 and 38
  List after swap: [-35, 68, 66, 13, 49, 41, 90, 71, 38, 93]

Pass 2:
  Compare -35 and 68
  No swap needed
  Compare 68 and 66
  Swap 68 and 66
  List after swap: [-35, 66, 68, 13, 49, 41, 90, 71, 38, 93]
  Compare 68 and 13
  Swap 68 and 13
  List after swap: [-35, 66, 13, 68, 49, 41, 90, 71, 38, 93]
  Compare 68 and 49
  Swap 68 and 49
  List after swap: [-35, 66, 13, 49, 68, 41, 90, 71, 38, 93]
  Compare 68 and 41
  Swap 68 and 41
  List after swap: [-35, 66, 13, 49, 41, 68, 90, 71, 38, 93]
  Compare 68 and 90
  No swap needed
  Compare 90 and 71
  Swap 90 and 71
  List after swap: [-35, 66, 13, 49, 41, 68, 71, 90, 38, 93]
  Compare 90 and 38
  Swap 90 and 38
  List after swap: [-35, 66, 13, 49, 41, 68, 71, 38, 90, 93]

Pass 3:
  Compare -35 and 66
  No swap needed
  Compare 66 and 13
  Swap 66 and 13
  List after swap: [-35, 13, 66, 49, 41, 68, 71, 38, 90, 93]
  Compare 66 and 49
  Swap 66 and 49
  List after swap: [-35, 13, 49, 66, 41, 68, 71, 38, 90, 93]
  Compare 66 and 41
  Swap 66 and 41
  List after swap: [-35, 13, 49, 41, 66, 68, 71, 38, 90, 93]
  Compare 66 and 68
  No swap needed
  Compare 68 and 71
  No swap needed
  Compare 71 and 38
  Swap 71 and 38
  List after swap: [-35, 13, 49, 41, 66, 68, 38, 71, 90, 93]

Pass 4:
  Compare -35 and 13
  No swap needed
  Compare 13 and 49
  No swap needed
  Compare 49 and 41
  Swap 49 and 41
  List after swap: [-35, 13, 41, 49, 66, 68, 38, 71, 90, 93]
  Compare 49 and 66
  No swap needed
  Compare 66 and 68
  No swap needed
  Compare 68 and 38
  Swap 68 and 38
  List after swap: [-35, 13, 41, 49, 66, 38, 68, 71, 90, 93]

Pass 5:
  Compare -35 and 13
  No swap needed
  Compare 13 and 41
  No swap needed
  Compare 41 and 49
  No swap needed
  Compare 49 and 66
  No swap needed
  Compare 66 and 38
  Swap 66 and 38
  List after swap: [-35, 13, 41, 49, 38, 66, 68, 71, 90, 93]

Pass 6:
  Compare -35 and 13
  No swap needed
  Compare 13 and 41
  No swap needed
  Compare 41 and 49
  No swap needed
  Compare 49 and 38
  Swap 49 and 38
  List after swap: [-35, 13, 41, 38, 49, 66, 68, 71, 90, 93]

Pass 7:
  Compare -35 and 13
  No swap needed
  Compare 13 and 41
  No swap needed
  Compare 41 and 38
  Swap 41 and 38
  List after swap: [-35, 13, 38, 41, 49, 66, 68, 71, 90, 93]

Pass 8:
  Compare -35 and 13
  No swap needed
  Compare 13 and 38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-35, 13, 38, 41, 49, 66, 68, 71, 90, 93]
</think>

<response>-35, 13, 38, 41, 49, 66, 68, 71, 90, 93</response>


input: Carry out the bubble sort algorithm on 26, 38, -1, 39, -57, -14, 21, 76 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [26, 38, -1, 39, -57, -14, 21, 76]

Pass 1:
  Compare 26 and 38
  No swap needed
  Compare 38 and -1
  Swap 38 and -1
  List after swap: [26, -1, 38, 39, -57, -14, 21, 76]
  Compare 38 and 39
  No swap needed
  Compare 39 and -57
  Swap 39 and -57
  List after swap: [26, -1, 38, -57, 39, -14, 21, 76]
  Compare 39 and -14
  Swap 39 and -14
  List after swap: [26, -1, 38, -57, -14, 39, 21, 76]
  Compare 39 and 21
  Swap 39 and 21
  List after swap: [26, -1, 38, -57, -14, 21, 39, 76]
  Compare 39 and 76
  No swap needed

Pass 2:
  Compare 26 and -1
  Swap 26 and -1
  List after swap: [-1, 26, 38, -57, -14, 21, 39, 76]
  Compare 26 and 38
  No swap needed
  Compare 38 and -57
  Swap 38 and -57
  List after swap: [-1, 26, -57, 38, -14, 21, 39, 76]
  Compare 38 and -14
  Swap 38 and -14
  List after swap: [-1, 26, -57, -14, 38, 21, 39, 76]
  Compare 38 and 21
  Swap 38 and 21
  List after swap: [-1, 26, -57, -14, 21, 38, 39, 76]
  Compare 38 and 39
  No swap needed

Pass 3:
  Compare -1 and 26
  No swap needed
  Compare 26 and -57
  Swap 26 and -57
  List after swap: [-1, -57, 26, -14, 21, 38, 39, 76]
  Compare 26 and -14
  Swap 26 and -14
  List after swap: [-1, -57, -14, 26, 21, 38, 39, 76]
  Compare 26 and 21
  Swap 26 and 21
  List after swap: [-1, -57, -14, 21, 26, 38, 39, 76]
  Compare 26 and 38
  No swap needed

Pass 4:
  Compare -1 and -57
  Swap -1 and -57
  List after swap: [-57, -1, -14, 21, 26, 38, 39, 76]
  Compare -1 and -14
  Swap -1 and -14
  List after swap: [-57, -14, -1, 21, 26, 38, 39, 76]
  Compare -1 and 21
  No swap needed
  Compare 21 and 26
  No swap needed

Pass 5:
  Compare -57 and -14
  No swap needed
  Compare -14 and -1
  No swap needed
  Compare -1 and 21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -14, -1, 21, 26, 38, 39, 76]
</think>

<response>-57, -14, -1, 21, 26, 38, 39, 76</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 36, 38, 41, 54, 98, -38, -99, -68.

output:
<think>
Initial list: [36, 38, 41, 54, 98, -38, -99, -68]

Pass 1:
  Compare 36 and 38
  No swap needed
  Compare 38 and 41
  No swap needed
  Compare 41 and 54
  No swap needed
  Compare 54 and 98
  No swap needed
  Compare 98 and -38
  Swap 98 and -38
  List after swap: [36, 38, 41, 54, -38, 98, -99, -68]
  Compare 98 and -99
  Swap 98 and -99
  List after swap: [36, 38, 41, 54, -38, -99, 98, -68]
  Compare 98 and -68
  Swap 98 and -68
  List after swap: [36, 38, 41, 54, -38, -99, -68, 98]

Pass 2:
  Compare 36 and 38
  No swap needed
  Compare 38 and 41
  No swap needed
  Compare 41 and 54
  No swap needed
  Compare 54 and -38
  Swap 54 and -38
  List after swap: [36, 38, 41, -38, 54, -99, -68, 98]
  Compare 54 and -99
  Swap 54 and -99
  List after swap: [36, 38, 41, -38, -99, 54, -68, 98]
  Compare 54 and -68
  Swap 54 and -68
  List after swap: [36, 38, 41, -38, -99, -68, 54, 98]

Pass 3:
  Compare 36 and 38
  No swap needed
  Compare 38 and 41
  No swap needed
  Compare 41 and -38
  Swap 41 and -38
  List after swap: [36, 38, -38, 41, -99, -68, 54, 98]
  Compare 41 and -99
  Swap 41 and -99
  List after swap: [36, 38, -38, -99, 41, -68, 54, 98]
  Compare 41 and -68
  Swap 41 and -68
  List after swap: [36, 38, -38, -99, -68, 41, 54, 98]

Pass 4:
  Compare 36 and 38
  No swap needed
  Compare 38 and -38
  Swap 38 and -38
  List after swap: [36, -38, 38, -99, -68, 41, 54, 98]
  Compare 38 and -99
  Swap 38 and -99
  List after swap: [36, -38, -99, 38, -68, 41, 54, 98]
  Compare 38 and -68
  Swap 38 and -68
  List after swap: [36, -38, -99, -68, 38, 41, 54, 98]

Pass 5:
  Compare 36 and -38
  Swap 36 and -38
  List after swap: [-38, 36, -99, -68, 38, 41, 54, 98]
  Compare 36 and -99
  Swap 36 and -99
  List after swap: [-38, -99, 36, -68, 38, 41, 54, 98]
  Compare 36 and -68
  Swap 36 and -68
  List after swap: [-38, -99, -68, 36, 38, 41, 54, 98]

Pass 6:
  Compare -38 and -99
  Swap -38 and -99
  List after swap: [-99, -38, -68, 36, 38, 41, 54, 98]
  Compare -38 and -68
  Swap -38 and -68
  List after swap: [-99, -68, -38, 36, 38, 41, 54, 98]

Pass 7:
  Compare -99 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -68, -38, 36, 38, 41, 54, 98]
</think>

<response>-99, -68, -38, 36, 38, 41, 54, 98</response>


input: Execute bubble sort to sort 25, 65, -82, -80, 3, -55, 0 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [25, 65, -82, -80, 3, -55, 0]

Pass 1:
  Compare 25 and 65
  No swap needed
  Compare 65 and -82
  Swap 65 and -82
  List after swap: [25, -82, 65, -80, 3, -55, 0]
  Compare 65 and -80
  Swap 65 and -80
  List after swap: [25, -82, -80, 65, 3, -55, 0]
  Compare 65 and 3
  Swap 65 and 3
  List after swap: [25, -82, -80, 3, 65, -55, 0]
  Compare 65 and -55
  Swap 65 and -55
  List after swap: [25, -82, -80, 3, -55, 65, 0]
  Compare 65 and 0
  Swap 65 and 0
  List after swap: [25, -82, -80, 3, -55, 0, 65]

Pass 2:
  Compare 25 and -82
  Swap 25 and -82
  List after swap: [-82, 25, -80, 3, -55, 0, 65]
  Compare 25 and -80
  Swap 25 and -80
  List after swap: [-82, -80, 25, 3, -55, 0, 65]
  Compare 25 and 3
  Swap 25 and 3
  List after swap: [-82, -80, 3, 25, -55, 0, 65]
  Compare 25 and -55
  Swap 25 and -55
  List after swap: [-82, -80, 3, -55, 25, 0, 65]
  Compare 25 and 0
  Swap 25 and 0
  List after swap: [-82, -80, 3, -55, 0, 25, 65]

Pass 3:
  Compare -82 and -80
  No swap needed
  Compare -80 and 3
  No swap needed
  Compare 3 and -55
  Swap 3 and -55
  List after swap: [-82, -80, -55, 3, 0, 25, 65]
  Compare 3 and 0
  Swap 3 and 0
  List after swap: [-82, -80, -55, 0, 3, 25, 65]

Pass 4:
  Compare -82 and -80
  No swap needed
  Compare -80 and -55
  No swap needed
  Compare -55 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -80, -55, 0, 3, 25, 65]
</think>

<response>-82, -80, -55, 0, 3, 25, 65</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -15, -18, -47, 13, -57, 30, 47.

output:
<think>
Initial list: [-15, -18, -47, 13, -57, 30, 47]

Pass 1:
  Compare -15 and -18
  Swap -15 and -18
  List after swap: [-18, -15, -47, 13, -57, 30, 47]
  Compare -15 and -47
  Swap -15 and -47
  List after swap: [-18, -47, -15, 13, -57, 30, 47]
  Compare -15 and 13
  No swap needed
  Compare 13 and -57
  Swap 13 and -57
  List after swap: [-18, -47, -15, -57, 13, 30, 47]
  Compare 13 and 30
  No swap needed
  Compare 30 and 47
  No swap needed

Pass 2:
  Compare -18 and -47
  Swap -18 and -47
  List after swap: [-47, -18, -15, -57, 13, 30, 47]
  Compare -18 and -15
  No swap needed
  Compare -15 and -57
  Swap -15 and -57
  List after swap: [-47, -18, -57, -15, 13, 30, 47]
  Compare -15 and 13
  No swap needed
  Compare 13 and 30
  No swap needed

Pass 3:
  Compare -47 and -18
  No swap needed
  Compare -18 and -57
  Swap -18 and -57
  List after swap: [-47, -57, -18, -15, 13, 30, 47]
  Compare -18 and -15
  No swap needed
  Compare -15 and 13
  No swap needed

Pass 4:
  Compare -47 and -57
  Swap -47 and -57
  List after swap: [-57, -47, -18, -15, 13, 30, 47]
  Compare -47 and -18
  No swap needed
  Compare -18 and -15
  No swap needed

Pass 5:
  Compare -57 and -47
  No swap needed
  Compare -47 and -18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -47, -18, -15, 13, 30, 47]
</think>

<response>-57, -47, -18, -15, 13, 30, 47</response>


input: Execute bubble sort to sort -27, 73, 29, 76, -3, -8, -94 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-27, 73, 29, 76, -3, -8, -94]

Pass 1:
  Compare -27 and 73
  No swap needed
  Compare 73 and 29
  Swap 73 and 29
  List after swap: [-27, 29, 73, 76, -3, -8, -94]
  Compare 73 and 76
  No swap needed
  Compare 76 and -3
  Swap 76 and -3
  List after swap: [-27, 29, 73, -3, 76, -8, -94]
  Compare 76 and -8
  Swap 76 and -8
  List after swap: [-27, 29, 73, -3, -8, 76, -94]
  Compare 76 and -94
  Swap 76 and -94
  List after swap: [-27, 29, 73, -3, -8, -94, 76]

Pass 2:
  Compare -27 and 29
  No swap needed
  Compare 29 and 73
  No swap needed
  Compare 73 and -3
  Swap 73 and -3
  List after swap: [-27, 29, -3, 73, -8, -94, 76]
  Compare 73 and -8
  Swap 73 and -8
  List after swap: [-27, 29, -3, -8, 73, -94, 76]
  Compare 73 and -94
  Swap 73 and -94
  List after swap: [-27, 29, -3, -8, -94, 73, 76]

Pass 3:
  Compare -27 and 29
  No swap needed
  Compare 29 and -3
  Swap 29 and -3
  List after swap: [-27, -3, 29, -8, -94, 73, 76]
  Compare 29 and -8
  Swap 29 and -8
  List after swap: [-27, -3, -8, 29, -94, 73, 76]
  Compare 29 and -94
  Swap 29 and -94
  List after swap: [-27, -3, -8, -94, 29, 73, 76]

Pass 4:
  Compare -27 and -3
  No swap needed
  Compare -3 and -8
  Swap -3 and -8
  List after swap: [-27, -8, -3, -94, 29, 73, 76]
  Compare -3 and -94
  Swap -3 and -94
  List after swap: [-27, -8, -94, -3, 29, 73, 76]

Pass 5:
  Compare -27 and -8
  No swap needed
  Compare -8 and -94
  Swap -8 and -94
  List after swap: [-27, -94, -8, -3, 29, 73, 76]

Pass 6:
  Compare -27 and -94
  Swap -27 and -94
  List after swap: [-94, -27, -8, -3, 29, 73, 76]

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

Final sorted list: [-94, -27, -8, -3, 29, 73, 76]
</think>

<response>-94, -27, -8, -3, 29, 73, 76</response>


input: Using the bubble sort method, sort 70, 71, 47, -52, -13, 73, 98, -95, -25 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [70, 71, 47, -52, -13, 73, 98, -95, -25]

Pass 1:
  Compare 70 and 71
  No swap needed
  Compare 71 and 47
  Swap 71 and 47
  List after swap: [70, 47, 71, -52, -13, 73, 98, -95, -25]
  Compare 71 and -52
  Swap 71 and -52
  List after swap: [70, 47, -52, 71, -13, 73, 98, -95, -25]
  Compare 71 and -13
  Swap 71 and -13
  List after swap: [70, 47, -52, -13, 71, 73, 98, -95, -25]
  Compare 71 and 73
  No swap needed
  Compare 73 and 98
  No swap needed
  Compare 98 and -95
  Swap 98 and -95
  List after swap: [70, 47, -52, -13, 71, 73, -95, 98, -25]
  Compare 98 and -25
  Swap 98 and -25
  List after swap: [70, 47, -52, -13, 71, 73, -95, -25, 98]

Pass 2:
  Compare 70 and 47
  Swap 70 and 47
  List after swap: [47, 70, -52, -13, 71, 73, -95, -25, 98]
  Compare 70 and -52
  Swap 70 and -52
  List after swap: [47, -52, 70, -13, 71, 73, -95, -25, 98]
  Compare 70 and -13
  Swap 70 and -13
  List after swap: [47, -52, -13, 70, 71, 73, -95, -25, 98]
  Compare 70 and 71
  No swap needed
  Compare 71 and 73
  No swap needed
  Compare 73 and -95
  Swap 73 and -95
  List after swap: [47, -52, -13, 70, 71, -95, 73, -25, 98]
  Compare 73 and -25
  Swap 73 and -25
  List after swap: [47, -52, -13, 70, 71, -95, -25, 73, 98]

Pass 3:
  Compare 47 and -52
  Swap 47 and -52
  List after swap: [-52, 47, -13, 70, 71, -95, -25, 73, 98]
  Compare 47 and -13
  Swap 47 and -13
  List after swap: [-52, -13, 47, 70, 71, -95, -25, 73, 98]
  Compare 47 and 70
  No swap needed
  Compare 70 and 71
  No swap needed
  Compare 71 and -95
  Swap 71 and -95
  List after swap: [-52, -13, 47, 70, -95, 71, -25, 73, 98]
  Compare 71 and -25
  Swap 71 and -25
  List after swap: [-52, -13, 47, 70, -95, -25, 71, 73, 98]

Pass 4:
  Compare -52 and -13
  No swap needed
  Compare -13 and 47
  No swap needed
  Compare 47 and 70
  No swap needed
  Compare 70 and -95
  Swap 70 and -95
  List after swap: [-52, -13, 47, -95, 70, -25, 71, 73, 98]
  Compare 70 and -25
  Swap 70 and -25
  List after swap: [-52, -13, 47, -95, -25, 70, 71, 73, 98]

Pass 5:
  Compare -52 and -13
  No swap needed
  Compare -13 and 47
  No swap needed
  Compare 47 and -95
  Swap 47 and -95
  List after swap: [-52, -13, -95, 47, -25, 70, 71, 73, 98]
  Compare 47 and -25
  Swap 47 and -25
  List after swap: [-52, -13, -95, -25, 47, 70, 71, 73, 98]

Pass 6:
  Compare -52 and -13
  No swap needed
  Compare -13 and -95
  Swap -13 and -95
  List after swap: [-52, -95, -13, -25, 47, 70, 71, 73, 98]
  Compare -13 and -25
  Swap -13 and -25
  List after swap: [-52, -95, -25, -13, 47, 70, 71, 73, 98]

Pass 7:
  Compare -52 and -95
  Swap -52 and -95
  List after swap: [-95, -52, -25, -13, 47, 70, 71, 73, 98]
  Compare -52 and -25
  No swap needed

Pass 8:
  Compare -95 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -52, -25, -13, 47, 70, 71, 73, 98]
</think>

<response>-95, -52, -25, -13, 47, 70, 71, 73, 98</response>


input: Sort these integers 62, 65, -71, -18, -80, 71, -96, 17, 97 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [62, 65, -71, -18, -80, 71, -96, 17, 97]

Pass 1:
  Compare 62 and 65
  No swap needed
  Compare 65 and -71
  Swap 65 and -71
  List after swap: [62, -71, 65, -18, -80, 71, -96, 17, 97]
  Compare 65 and -18
  Swap 65 and -18
  List after swap: [62, -71, -18, 65, -80, 71, -96, 17, 97]
  Compare 65 and -80
  Swap 65 and -80
  List after swap: [62, -71, -18, -80, 65, 71, -96, 17, 97]
  Compare 65 and 71
  No swap needed
  Compare 71 and -96
  Swap 71 and -96
  List after swap: [62, -71, -18, -80, 65, -96, 71, 17, 97]
  Compare 71 and 17
  Swap 71 and 17
  List after swap: [62, -71, -18, -80, 65, -96, 17, 71, 97]
  Compare 71 and 97
  No swap needed

Pass 2:
  Compare 62 and -71
  Swap 62 and -71
  List after swap: [-71, 62, -18, -80, 65, -96, 17, 71, 97]
  Compare 62 and -18
  Swap 62 and -18
  List after swap: [-71, -18, 62, -80, 65, -96, 17, 71, 97]
  Compare 62 and -80
  Swap 62 and -80
  List after swap: [-71, -18, -80, 62, 65, -96, 17, 71, 97]
  Compare 62 and 65
  No swap needed
  Compare 65 and -96
  Swap 65 and -96
  List after swap: [-71, -18, -80, 62, -96, 65, 17, 71, 97]
  Compare 65 and 17
  Swap 65 and 17
  List after swap: [-71, -18, -80, 62, -96, 17, 65, 71, 97]
  Compare 65 and 71
  No swap needed

Pass 3:
  Compare -71 and -18
  No swap needed
  Compare -18 and -80
  Swap -18 and -80
  List after swap: [-71, -80, -18, 62, -96, 17, 65, 71, 97]
  Compare -18 and 62
  No swap needed
  Compare 62 and -96
  Swap 62 and -96
  List after swap: [-71, -80, -18, -96, 62, 17, 65, 71, 97]
  Compare 62 and 17
  Swap 62 and 17
  List after swap: [-71, -80, -18, -96, 17, 62, 65, 71, 97]
  Compare 62 and 65
  No swap needed

Pass 4:
  Compare -71 and -80
  Swap -71 and -80
  List after swap: [-80, -71, -18, -96, 17, 62, 65, 71, 97]
  Compare -71 and -18
  No swap needed
  Compare -18 and -96
  Swap -18 and -96
  List after swap: [-80, -71, -96, -18, 17, 62, 65, 71, 97]
  Compare -18 and 17
  No swap needed
  Compare 17 and 62
  No swap needed

Pass 5:
  Compare -80 and -71
  No swap needed
  Compare -71 and -96
  Swap -71 and -96
  List after swap: [-80, -96, -71, -18, 17, 62, 65, 71, 97]
  Compare -71 and -18
  No swap needed
  Compare -18 and 17
  No swap needed

Pass 6:
  Compare -80 and -96
  Swap -80 and -96
  List after swap: [-96, -80, -71, -18, 17, 62, 65, 71, 97]
  Compare -80 and -71
  No swap needed
  Compare -71 and -18
  No swap needed

Pass 7:
  Compare -96 and -80
  No swap needed
  Compare -80 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -80, -71, -18, 17, 62, 65, 71, 97]
</think>

<response>-96, -80, -71, -18, 17, 62, 65, 71, 97</response>


input: Sort these integers -69, -39, -9, 11, -8, -47, 88 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-69, -39, -9, 11, -8, -47, 88]

Pass 1:
  Compare -69 and -39
  No swap needed
  Compare -39 and -9
  No swap needed
  Compare -9 and 11
  No swap needed
  Compare 11 and -8
  Swap 11 and -8
  List after swap: [-69, -39, -9, -8, 11, -47, 88]
  Compare 11 and -47
  Swap 11 and -47
  List after swap: [-69, -39, -9, -8, -47, 11, 88]
  Compare 11 and 88
  No swap needed

Pass 2:
  Compare -69 and -39
  No swap needed
  Compare -39 and -9
  No swap needed
  Compare -9 and -8
  No swap needed
  Compare -8 and -47
  Swap -8 and -47
  List after swap: [-69, -39, -9, -47, -8, 11, 88]
  Compare -8 and 11
  No swap needed

Pass 3:
  Compare -69 and -39
  No swap needed
  Compare -39 and -9
  No swap needed
  Compare -9 and -47
  Swap -9 and -47
  List after swap: [-69, -39, -47, -9, -8, 11, 88]
  Compare -9 and -8
  No swap needed

Pass 4:
  Compare -69 and -39
  No swap needed
  Compare -39 and -47
  Swap -39 and -47
  List after swap: [-69, -47, -39, -9, -8, 11, 88]
  Compare -39 and -9
  No swap needed

Pass 5:
  Compare -69 and -47
  No swap needed
  Compare -47 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -47, -39, -9, -8, 11, 88]
</think>

<response>-69, -47, -39, -9, -8, 11, 88</response>


input: Implement bubble sort on 30, 63, 23, -70 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [30, 63, 23, -70]

Pass 1:
  Compare 30 and 63
  No swap needed
  Compare 63 and 23
  Swap 63 and 23
  List after swap: [30, 23, 63, -70]
  Compare 63 and -70
  Swap 63 and -70
  List after swap: [30, 23, -70, 63]

Pass 2:
  Compare 30 and 23
  Swap 30 and 23
  List after swap: [23, 30, -70, 63]
  Compare 30 and -70
  Swap 30 and -70
  List after swap: [23, -70, 30, 63]

Pass 3:
  Compare 23 and -70
  Swap 23 and -70
  List after swap: [-70, 23, 30, 63]

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

Final sorted list: [-70, 23, 30, 63]
</think>

<response>-70, 23, 30, 63</response>


input: Implement bubble sort on 86, 85, 56 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [86, 85, 56]

Pass 1:
  Compare 86 and 85
  Swap 86 and 85
  List after swap: [85, 86, 56]
  Compare 86 and 56
  Swap 86 and 56
  List after swap: [85, 56, 86]

Pass 2:
  Compare 85 and 56
  Swap 85 and 56
  List after swap: [56, 85, 86]

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

Final sorted list: [56, 85, 86]
</think>

<response>56, 85, 86</response>


input: Use the bubble sort technique to reorder 73, -4 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [73, -4]

Pass 1:
  Compare 73 and -4
  Swap 73 and -4
  List after swap: [-4, 73]

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

Final sorted list: [-4, 73]
</think>

<response>-4, 73</response>


input: Demonstrate how bubble sort orders the integers 95, 70, 86, -26, 32, 97 in ascending sequence, showing all steps.

output:
<think>
Initial list: [95, 70, 86, -26, 32, 97]

Pass 1:
  Compare 95 and 70
  Swap 95 and 70
  List after swap: [70, 95, 86, -26, 32, 97]
  Compare 95 and 86
  Swap 95 and 86
  List after swap: [70, 86, 95, -26, 32, 97]
  Compare 95 and -26
  Swap 95 and -26
  List after swap: [70, 86, -26, 95, 32, 97]
  Compare 95 and 32
  Swap 95 and 32
  List after swap: [70, 86, -26, 32, 95, 97]
  Compare 95 and 97
  No swap needed

Pass 2:
  Compare 70 and 86
  No swap needed
  Compare 86 and -26
  Swap 86 and -26
  List after swap: [70, -26, 86, 32, 95, 97]
  Compare 86 and 32
  Swap 86 and 32
  List after swap: [70, -26, 32, 86, 95, 97]
  Compare 86 and 95
  No swap needed

Pass 3:
  Compare 70 and -26
  Swap 70 and -26
  List after swap: [-26, 70, 32, 86, 95, 97]
  Compare 70 and 32
  Swap 70 and 32
  List after swap: [-26, 32, 70, 86, 95, 97]
  Compare 70 and 86
  No swap needed

Pass 4:
  Compare -26 and 32
  No swap needed
  Compare 32 and 70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-26, 32, 70, 86, 95, 97]
</think>

<response>-26, 32, 70, 86, 95, 97</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 15, -28, -95, 13, 27.

output:
<think>
Initial list: [15, -28, -95, 13, 27]

Pass 1:
  Compare 15 and -28
  Swap 15 and -28
  List after swap: [-28, 15, -95, 13, 27]
  Compare 15 and -95
  Swap 15 and -95
  List after swap: [-28, -95, 15, 13, 27]
  Compare 15 and 13
  Swap 15 and 13
  List after swap: [-28, -95, 13, 15, 27]
  Compare 15 and 27
  No swap needed

Pass 2:
  Compare -28 and -95
  Swap -28 and -95
  List after swap: [-95, -28, 13, 15, 27]
  Compare -28 and 13
  No swap needed
  Compare 13 and 15
  No swap needed

Pass 3:
  Compare -95 and -28
  No swap needed
  Compare -28 and 13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -28, 13, 15, 27]
</think>

<response>-95, -28, 13, 15, 27</response>


input: Execute bubble sort to sort -93, 37, -28 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-93, 37, -28]

Pass 1:
  Compare -93 and 37
  No swap needed
  Compare 37 and -28
  Swap 37 and -28
  List after swap: [-93, -28, 37]

Pass 2:
  Compare -93 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -28, 37]
</think>

<response>-93, -28, 37</response>


input: Sort the list 67, -82, -62, 17 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [67, -82, -62, 17]

Pass 1:
  Compare 67 and -82
  Swap 67 and -82
  List after swap: [-82, 67, -62, 17]
  Compare 67 and -62
  Swap 67 and -62
  List after swap: [-82, -62, 67, 17]
  Compare 67 and 17
  Swap 67 and 17
  List after swap: [-82, -62, 17, 67]

Pass 2:
  Compare -82 and -62
  No swap needed
  Compare -62 and 17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -62, 17, 67]
</think>

<response>-82, -62, 17, 67</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 95, 66, 6, -28, 49, -88.

output:
<think>
Initial list: [95, 66, 6, -28, 49, -88]

Pass 1:
  Compare 95 and 66
  Swap 95 and 66
  List after swap: [66, 95, 6, -28, 49, -88]
  Compare 95 and 6
  Swap 95 and 6
  List after swap: [66, 6, 95, -28, 49, -88]
  Compare 95 and -28
  Swap 95 and -28
  List after swap: [66, 6, -28, 95, 49, -88]
  Compare 95 and 49
  Swap 95 and 49
  List after swap: [66, 6, -28, 49, 95, -88]
  Compare 95 and -88
  Swap 95 and -88
  List after swap: [66, 6, -28, 49, -88, 95]

Pass 2:
  Compare 66 and 6
  Swap 66 and 6
  List after swap: [6, 66, -28, 49, -88, 95]
  Compare 66 and -28
  Swap 66 and -28
  List after swap: [6, -28, 66, 49, -88, 95]
  Compare 66 and 49
  Swap 66 and 49
  List after swap: [6, -28, 49, 66, -88, 95]
  Compare 66 and -88
  Swap 66 and -88
  List after swap: [6, -28, 49, -88, 66, 95]

Pass 3:
  Compare 6 and -28
  Swap 6 and -28
  List after swap: [-28, 6, 49, -88, 66, 95]
  Compare 6 and 49
  No swap needed
  Compare 49 and -88
  Swap 49 and -88
  List after swap: [-28, 6, -88, 49, 66, 95]

Pass 4:
  Compare -28 and 6
  No swap needed
  Compare 6 and -88
  Swap 6 and -88
  List after swap: [-28, -88, 6, 49, 66, 95]

Pass 5:
  Compare -28 and -88
  Swap -28 and -88
  List after swap: [-88, -28, 6, 49, 66, 95]

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

Final sorted list: [-88, -28, 6, 49, 66, 95]
</think>

<response>-88, -28, 6, 49, 66, 95</response>


input: Execute bubble sort to sort -93, -89, -30, 32 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-93, -89, -30, 32]

Pass 1:
  Compare -93 and -89
  No swap needed
  Compare -89 and -30
  No swap needed
  Compare -30 and 32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -89, -30, 32]
</think>

<response>-93, -89, -30, 32</response>


input: Demonstrate how bubble sort orders the integers -80, 19, 87, 67, 2, 29, 7 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-80, 19, 87, 67, 2, 29, 7]

Pass 1:
  Compare -80 and 19
  No swap needed
  Compare 19 and 87
  No swap needed
  Compare 87 and 67
  Swap 87 and 67
  List after swap: [-80, 19, 67, 87, 2, 29, 7]
  Compare 87 and 2
  Swap 87 and 2
  List after swap: [-80, 19, 67, 2, 87, 29, 7]
  Compare 87 and 29
  Swap 87 and 29
  List after swap: [-80, 19, 67, 2, 29, 87, 7]
  Compare 87 and 7
  Swap 87 and 7
  List after swap: [-80, 19, 67, 2, 29, 7, 87]

Pass 2:
  Compare -80 and 19
  No swap needed
  Compare 19 and 67
  No swap needed
  Compare 67 and 2
  Swap 67 and 2
  List after swap: [-80, 19, 2, 67, 29, 7, 87]
  Compare 67 and 29
  Swap 67 and 29
  List after swap: [-80, 19, 2, 29, 67, 7, 87]
  Compare 67 and 7
  Swap 67 and 7
  List after swap: [-80, 19, 2, 29, 7, 67, 87]

Pass 3:
  Compare -80 and 19
  No swap needed
  Compare 19 and 2
  Swap 19 and 2
  List after swap: [-80, 2, 19, 29, 7, 67, 87]
  Compare 19 and 29
  No swap needed
  Compare 29 and 7
  Swap 29 and 7
  List after swap: [-80, 2, 19, 7, 29, 67, 87]

Pass 4:
  Compare -80 and 2
  No swap needed
  Compare 2 and 19
  No swap needed
  Compare 19 and 7
  Swap 19 and 7
  List after swap: [-80, 2, 7, 19, 29, 67, 87]

Pass 5:
  Compare -80 and 2
  No swap needed
  Compare 2 and 7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, 2, 7, 19, 29, 67, 87]
</think>

<response>-80, 2, 7, 19, 29, 67, 87</response>


input: Arrange the numbers 61, -37, -78, 85, -95, -17, -15 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [61, -37, -78, 85, -95, -17, -15]

Pass 1:
  Compare 61 and -37
  Swap 61 and -37
  List after swap: [-37, 61, -78, 85, -95, -17, -15]
  Compare 61 and -78
  Swap 61 and -78
  List after swap: [-37, -78, 61, 85, -95, -17, -15]
  Compare 61 and 85
  No swap needed
  Compare 85 and -95
  Swap 85 and -95
  List after swap: [-37, -78, 61, -95, 85, -17, -15]
  Compare 85 and -17
  Swap 85 and -17
  List after swap: [-37, -78, 61, -95, -17, 85, -15]
  Compare 85 and -15
  Swap 85 and -15
  List after swap: [-37, -78, 61, -95, -17, -15, 85]

Pass 2:
  Compare -37 and -78
  Swap -37 and -78
  List after swap: [-78, -37, 61, -95, -17, -15, 85]
  Compare -37 and 61
  No swap needed
  Compare 61 and -95
  Swap 61 and -95
  List after swap: [-78, -37, -95, 61, -17, -15, 85]
  Compare 61 and -17
  Swap 61 and -17
  List after swap: [-78, -37, -95, -17, 61, -15, 85]
  Compare 61 and -15
  Swap 61 and -15
  List after swap: [-78, -37, -95, -17, -15, 61, 85]

Pass 3:
  Compare -78 and -37
  No swap needed
  Compare -37 and -95
  Swap -37 and -95
  List after swap: [-78, -95, -37, -17, -15, 61, 85]
  Compare -37 and -17
  No swap needed
  Compare -17 and -15
  No swap needed

Pass 4:
  Compare -78 and -95
  Swap -78 and -95
  List after swap: [-95, -78, -37, -17, -15, 61, 85]
  Compare -78 and -37
  No swap needed
  Compare -37 and -17
  No swap needed

Pass 5:
  Compare -95 and -78
  No swap needed
  Compare -78 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -78, -37, -17, -15, 61, 85]
</think>

<response>-95, -78, -37, -17, -15, 61, 85</response>


input: Sort these integers -31, 4, 91, -47, -77, -88, -93 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-31, 4, 91, -47, -77, -88, -93]

Pass 1:
  Compare -31 and 4
  No swap needed
  Compare 4 and 91
  No swap needed
  Compare 91 and -47
  Swap 91 and -47
  List after swap: [-31, 4, -47, 91, -77, -88, -93]
  Compare 91 and -77
  Swap 91 and -77
  List after swap: [-31, 4, -47, -77, 91, -88, -93]
  Compare 91 and -88
  Swap 91 and -88
  List after swap: [-31, 4, -47, -77, -88, 91, -93]
  Compare 91 and -93
  Swap 91 and -93
  List after swap: [-31, 4, -47, -77, -88, -93, 91]

Pass 2:
  Compare -31 and 4
  No swap needed
  Compare 4 and -47
  Swap 4 and -47
  List after swap: [-31, -47, 4, -77, -88, -93, 91]
  Compare 4 and -77
  Swap 4 and -77
  List after swap: [-31, -47, -77, 4, -88, -93, 91]
  Compare 4 and -88
  Swap 4 and -88
  List after swap: [-31, -47, -77, -88, 4, -93, 91]
  Compare 4 and -93
  Swap 4 and -93
  List after swap: [-31, -47, -77, -88, -93, 4, 91]

Pass 3:
  Compare -31 and -47
  Swap -31 and -47
  List after swap: [-47, -31, -77, -88, -93, 4, 91]
  Compare -31 and -77
  Swap -31 and -77
  List after swap: [-47, -77, -31, -88, -93, 4, 91]
  Compare -31 and -88
  Swap -31 and -88
  List after swap: [-47, -77, -88, -31, -93, 4, 91]
  Compare -31 and -93
  Swap -31 and -93
  List after swap: [-47, -77, -88, -93, -31, 4, 91]

Pass 4:
  Compare -47 and -77
  Swap -47 and -77
  List after swap: [-77, -47, -88, -93, -31, 4, 91]
  Compare -47 and -88
  Swap -47 and -88
  List after swap: [-77, -88, -47, -93, -31, 4, 91]
  Compare -47 and -93
  Swap -47 and -93
  List after swap: [-77, -88, -93, -47, -31, 4, 91]

Pass 5:
  Compare -77 and -88
  Swap -77 and -88
  List after swap: [-88, -77, -93, -47, -31, 4, 91]
  Compare -77 and -93
  Swap -77 and -93
  List after swap: [-88, -93, -77, -47, -31, 4, 91]

Pass 6:
  Compare -88 and -93
  Swap -88 and -93
  List after swap: [-93, -88, -77, -47, -31, 4, 91]

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

Final sorted list: [-93, -88, -77, -47, -31, 4, 91]
</think>

<response>-93, -88, -77, -47, -31, 4, 91</response>


input: Use the bubble sort technique to reorder -46, 45, -35, 79, -49, 44, 15, -28, 0, 72 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-46, 45, -35, 79, -49, 44, 15, -28, 0, 72]

Pass 1:
  Compare -46 and 45
  No swap needed
  Compare 45 and -35
  Swap 45 and -35
  List after swap: [-46, -35, 45, 79, -49, 44, 15, -28, 0, 72]
  Compare 45 and 79
  No swap needed
  Compare 79 and -49
  Swap 79 and -49
  List after swap: [-46, -35, 45, -49, 79, 44, 15, -28, 0, 72]
  Compare 79 and 44
  Swap 79 and 44
  List after swap: [-46, -35, 45, -49, 44, 79, 15, -28, 0, 72]
  Compare 79 and 15
  Swap 79 and 15
  List after swap: [-46, -35, 45, -49, 44, 15, 79, -28, 0, 72]
  Compare 79 and -28
  Swap 79 and -28
  List after swap: [-46, -35, 45, -49, 44, 15, -28, 79, 0, 72]
  Compare 79 and 0
  Swap 79 and 0
  List after swap: [-46, -35, 45, -49, 44, 15, -28, 0, 79, 72]
  Compare 79 and 72
  Swap 79 and 72
  List after swap: [-46, -35, 45, -49, 44, 15, -28, 0, 72, 79]

Pass 2:
  Compare -46 and -35
  No swap needed
  Compare -35 and 45
  No swap needed
  Compare 45 and -49
  Swap 45 and -49
  List after swap: [-46, -35, -49, 45, 44, 15, -28, 0, 72, 79]
  Compare 45 and 44
  Swap 45 and 44
  List after swap: [-46, -35, -49, 44, 45, 15, -28, 0, 72, 79]
  Compare 45 and 15
  Swap 45 and 15
  List after swap: [-46, -35, -49, 44, 15, 45, -28, 0, 72, 79]
  Compare 45 and -28
  Swap 45 and -28
  List after swap: [-46, -35, -49, 44, 15, -28, 45, 0, 72, 79]
  Compare 45 and 0
  Swap 45 and 0
  List after swap: [-46, -35, -49, 44, 15, -28, 0, 45, 72, 79]
  Compare 45 and 72
  No swap needed

Pass 3:
  Compare -46 and -35
  No swap needed
  Compare -35 and -49
  Swap -35 and -49
  List after swap: [-46, -49, -35, 44, 15, -28, 0, 45, 72, 79]
  Compare -35 and 44
  No swap needed
  Compare 44 and 15
  Swap 44 and 15
  List after swap: [-46, -49, -35, 15, 44, -28, 0, 45, 72, 79]
  Compare 44 and -28
  Swap 44 and -28
  List after swap: [-46, -49, -35, 15, -28, 44, 0, 45, 72, 79]
  Compare 44 and 0
  Swap 44 and 0
  List after swap: [-46, -49, -35, 15, -28, 0, 44, 45, 72, 79]
  Compare 44 and 45
  No swap needed

Pass 4:
  Compare -46 and -49
  Swap -46 and -49
  List after swap: [-49, -46, -35, 15, -28, 0, 44, 45, 72, 79]
  Compare -46 and -35
  No swap needed
  Compare -35 and 15
  No swap needed
  Compare 15 and -28
  Swap 15 and -28
  List after swap: [-49, -46, -35, -28, 15, 0, 44, 45, 72, 79]
  Compare 15 and 0
  Swap 15 and 0
  List after swap: [-49, -46, -35, -28, 0, 15, 44, 45, 72, 79]
  Compare 15 and 44
  No swap needed

Pass 5:
  Compare -49 and -46
  No swap needed
  Compare -46 and -35
  No swap needed
  Compare -35 and -28
  No swap needed
  Compare -28 and 0
  No swap needed
  Compare 0 and 15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-49, -46, -35, -28, 0, 15, 44, 45, 72, 79]
</think>

<response>-49, -46, -35, -28, 0, 15, 44, 45, 72, 79</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -32, -70, -33, -45, -30, 67, -67.

output:
<think>
Initial list: [-32, -70, -33, -45, -30, 67, -67]

Pass 1:
  Compare -32 and -70
  Swap -32 and -70
  List after swap: [-70, -32, -33, -45, -30, 67, -67]
  Compare -32 and -33
  Swap -32 and -33
  List after swap: [-70, -33, -32, -45, -30, 67, -67]
  Compare -32 and -45
  Swap -32 and -45
  List after swap: [-70, -33, -45, -32, -30, 67, -67]
  Compare -32 and -30
  No swap needed
  Compare -30 and 67
  No swap needed
  Compare 67 and -67
  Swap 67 and -67
  List after swap: [-70, -33, -45, -32, -30, -67, 67]

Pass 2:
  Compare -70 and -33
  No swap needed
  Compare -33 and -45
  Swap -33 and -45
  List after swap: [-70, -45, -33, -32, -30, -67, 67]
  Compare -33 and -32
  No swap needed
  Compare -32 and -30
  No swap needed
  Compare -30 and -67
  Swap -30 and -67
  List after swap: [-70, -45, -33, -32, -67, -30, 67]

Pass 3:
  Compare -70 and -45
  No swap needed
  Compare -45 and -33
  No swap needed
  Compare -33 and -32
  No swap needed
  Compare -32 and -67
  Swap -32 and -67
  List after swap: [-70, -45, -33, -67, -32, -30, 67]

Pass 4:
  Compare -70 and -45
  No swap needed
  Compare -45 and -33
  No swap needed
  Compare -33 and -67
  Swap -33 and -67
  List after swap: [-70, -45, -67, -33, -32, -30, 67]

Pass 5:
  Compare -70 and -45
  No swap needed
  Compare -45 and -67
  Swap -45 and -67
  List after swap: [-70, -67, -45, -33, -32, -30, 67]

Pass 6:
  Compare -70 and -67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -67, -45, -33, -32, -30, 67]
</think>

<response>-70, -67, -45, -33, -32, -30, 67</response>


input: Carry out the bubble sort algorithm on 6, -69, 77, -42, 60, -56, -38, 46, -31, 98 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [6, -69, 77, -42, 60, -56, -38, 46, -31, 98]

Pass 1:
  Compare 6 and -69
  Swap 6 and -69
  List after swap: [-69, 6, 77, -42, 60, -56, -38, 46, -31, 98]
  Compare 6 and 77
  No swap needed
  Compare 77 and -42
  Swap 77 and -42
  List after swap: [-69, 6, -42, 77, 60, -56, -38, 46, -31, 98]
  Compare 77 and 60
  Swap 77 and 60
  List after swap: [-69, 6, -42, 60, 77, -56, -38, 46, -31, 98]
  Compare 77 and -56
  Swap 77 and -56
  List after swap: [-69, 6, -42, 60, -56, 77, -38, 46, -31, 98]
  Compare 77 and -38
  Swap 77 and -38
  List after swap: [-69, 6, -42, 60, -56, -38, 77, 46, -31, 98]
  Compare 77 and 46
  Swap 77 and 46
  List after swap: [-69, 6, -42, 60, -56, -38, 46, 77, -31, 98]
  Compare 77 and -31
  Swap 77 and -31
  List after swap: [-69, 6, -42, 60, -56, -38, 46, -31, 77, 98]
  Compare 77 and 98
  No swap needed

Pass 2:
  Compare -69 and 6
  No swap needed
  Compare 6 and -42
  Swap 6 and -42
  List after swap: [-69, -42, 6, 60, -56, -38, 46, -31, 77, 98]
  Compare 6 and 60
  No swap needed
  Compare 60 and -56
  Swap 60 and -56
  List after swap: [-69, -42, 6, -56, 60, -38, 46, -31, 77, 98]
  Compare 60 and -38
  Swap 60 and -38
  List after swap: [-69, -42, 6, -56, -38, 60, 46, -31, 77, 98]
  Compare 60 and 46
  Swap 60 and 46
  List after swap: [-69, -42, 6, -56, -38, 46, 60, -31, 77, 98]
  Compare 60 and -31
  Swap 60 and -31
  List after swap: [-69, -42, 6, -56, -38, 46, -31, 60, 77, 98]
  Compare 60 and 77
  No swap needed

Pass 3:
  Compare -69 and -42
  No swap needed
  Compare -42 and 6
  No swap needed
  Compare 6 and -56
  Swap 6 and -56
  List after swap: [-69, -42, -56, 6, -38, 46, -31, 60, 77, 98]
  Compare 6 and -38
  Swap 6 and -38
  List after swap: [-69, -42, -56, -38, 6, 46, -31, 60, 77, 98]
  Compare 6 and 46
  No swap needed
  Compare 46 and -31
  Swap 46 and -31
  List after swap: [-69, -42, -56, -38, 6, -31, 46, 60, 77, 98]
  Compare 46 and 60
  No swap needed

Pass 4:
  Compare -69 and -42
  No swap needed
  Compare -42 and -56
  Swap -42 and -56
  List after swap: [-69, -56, -42, -38, 6, -31, 46, 60, 77, 98]
  Compare -42 and -38
  No swap needed
  Compare -38 and 6
  No swap needed
  Compare 6 and -31
  Swap 6 and -31
  List after swap: [-69, -56, -42, -38, -31, 6, 46, 60, 77, 98]
  Compare 6 and 46
  No swap needed

Pass 5:
  Compare -69 and -56
  No swap needed
  Compare -56 and -42
  No swap needed
  Compare -42 and -38
  No swap needed
  Compare -38 and -31
  No swap needed
  Compare -31 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -56, -42, -38, -31, 6, 46, 60, 77, 98]
</think>

<response>-69, -56, -42, -38, -31, 6, 46, 60, 77, 98</response>


input: Arrange the numbers 18, -75, -89 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [18, -75, -89]

Pass 1:
  Compare 18 and -75
  Swap 18 and -75
  List after swap: [-75, 18, -89]
  Compare 18 and -89
  Swap 18 and -89
  List after swap: [-75, -89, 18]

Pass 2:
  Compare -75 and -89
  Swap -75 and -89
  List after swap: [-89, -75, 18]

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

Final sorted list: [-89, -75, 18]
</think>

<response>-89, -75, 18</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 2, 68, -77, -46, -95, 54, -51.

output:
<think>
Initial list: [2, 68, -77, -46, -95, 54, -51]

Pass 1:
  Compare 2 and 68
  No swap needed
  Compare 68 and -77
  Swap 68 and -77
  List after swap: [2, -77, 68, -46, -95, 54, -51]
  Compare 68 and -46
  Swap 68 and -46
  List after swap: [2, -77, -46, 68, -95, 54, -51]
  Compare 68 and -95
  Swap 68 and -95
  List after swap: [2, -77, -46, -95, 68, 54, -51]
  Compare 68 and 54
  Swap 68 and 54
  List after swap: [2, -77, -46, -95, 54, 68, -51]
  Compare 68 and -51
  Swap 68 and -51
  List after swap: [2, -77, -46, -95, 54, -51, 68]

Pass 2:
  Compare 2 and -77
  Swap 2 and -77
  List after swap: [-77, 2, -46, -95, 54, -51, 68]
  Compare 2 and -46
  Swap 2 and -46
  List after swap: [-77, -46, 2, -95, 54, -51, 68]
  Compare 2 and -95
  Swap 2 and -95
  List after swap: [-77, -46, -95, 2, 54, -51, 68]
  Compare 2 and 54
  No swap needed
  Compare 54 and -51
  Swap 54 and -51
  List after swap: [-77, -46, -95, 2, -51, 54, 68]

Pass 3:
  Compare -77 and -46
  No swap needed
  Compare -46 and -95
  Swap -46 and -95
  List after swap: [-77, -95, -46, 2, -51, 54, 68]
  Compare -46 and 2
  No swap needed
  Compare 2 and -51
  Swap 2 and -51
  List after swap: [-77, -95, -46, -51, 2, 54, 68]

Pass 4:
  Compare -77 and -95
  Swap -77 and -95
  List after swap: [-95, -77, -46, -51, 2, 54, 68]
  Compare -77 and -46
  No swap needed
  Compare -46 and -51
  Swap -46 and -51
  List after swap: [-95, -77, -51, -46, 2, 54, 68]

Pass 5:
  Compare -95 and -77
  No swap needed
  Compare -77 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -77, -51, -46, 2, 54, 68]
</think>

<response>-95, -77, -51, -46, 2, 54, 68</response>