input: Carry out the bubble sort algorithm on -66, 6, -50, 7, 64, 87, 34, -11 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-66, 6, -50, 7, 64, 87, 34, -11]

Pass 1:
  Compare -66 and 6
  No swap needed
  Compare 6 and -50
  Swap 6 and -50
  List after swap: [-66, -50, 6, 7, 64, 87, 34, -11]
  Compare 6 and 7
  No swap needed
  Compare 7 and 64
  No swap needed
  Compare 64 and 87
  No swap needed
  Compare 87 and 34
  Swap 87 and 34
  List after swap: [-66, -50, 6, 7, 64, 34, 87, -11]
  Compare 87 and -11
  Swap 87 and -11
  List after swap: [-66, -50, 6, 7, 64, 34, -11, 87]

Pass 2:
  Compare -66 and -50
  No swap needed
  Compare -50 and 6
  No swap needed
  Compare 6 and 7
  No swap needed
  Compare 7 and 64
  No swap needed
  Compare 64 and 34
  Swap 64 and 34
  List after swap: [-66, -50, 6, 7, 34, 64, -11, 87]
  Compare 64 and -11
  Swap 64 and -11
  List after swap: [-66, -50, 6, 7, 34, -11, 64, 87]

Pass 3:
  Compare -66 and -50
  No swap needed
  Compare -50 and 6
  No swap needed
  Compare 6 and 7
  No swap needed
  Compare 7 and 34
  No swap needed
  Compare 34 and -11
  Swap 34 and -11
  List after swap: [-66, -50, 6, 7, -11, 34, 64, 87]

Pass 4:
  Compare -66 and -50
  No swap needed
  Compare -50 and 6
  No swap needed
  Compare 6 and 7
  No swap needed
  Compare 7 and -11
  Swap 7 and -11
  List after swap: [-66, -50, 6, -11, 7, 34, 64, 87]

Pass 5:
  Compare -66 and -50
  No swap needed
  Compare -50 and 6
  No swap needed
  Compare 6 and -11
  Swap 6 and -11
  List after swap: [-66, -50, -11, 6, 7, 34, 64, 87]

Pass 6:
  Compare -66 and -50
  No swap needed
  Compare -50 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -50, -11, 6, 7, 34, 64, 87]
</think>

<response>-66, -50, -11, 6, 7, 34, 64, 87</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -75, -48, -80, -31.

output:
<think>
Initial list: [-75, -48, -80, -31]

Pass 1:
  Compare -75 and -48
  No swap needed
  Compare -48 and -80
  Swap -48 and -80
  List after swap: [-75, -80, -48, -31]
  Compare -48 and -31
  No swap needed

Pass 2:
  Compare -75 and -80
  Swap -75 and -80
  List after swap: [-80, -75, -48, -31]
  Compare -75 and -48
  No swap needed

Pass 3:
  Compare -80 and -75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -75, -48, -31]
</think>

<response>-80, -75, -48, -31</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 32, 28, 64, -49, -26, -77, 23, -5.

output:
<think>
Initial list: [32, 28, 64, -49, -26, -77, 23, -5]

Pass 1:
  Compare 32 and 28
  Swap 32 and 28
  List after swap: [28, 32, 64, -49, -26, -77, 23, -5]
  Compare 32 and 64
  No swap needed
  Compare 64 and -49
  Swap 64 and -49
  List after swap: [28, 32, -49, 64, -26, -77, 23, -5]
  Compare 64 and -26
  Swap 64 and -26
  List after swap: [28, 32, -49, -26, 64, -77, 23, -5]
  Compare 64 and -77
  Swap 64 and -77
  List after swap: [28, 32, -49, -26, -77, 64, 23, -5]
  Compare 64 and 23
  Swap 64 and 23
  List after swap: [28, 32, -49, -26, -77, 23, 64, -5]
  Compare 64 and -5
  Swap 64 and -5
  List after swap: [28, 32, -49, -26, -77, 23, -5, 64]

Pass 2:
  Compare 28 and 32
  No swap needed
  Compare 32 and -49
  Swap 32 and -49
  List after swap: [28, -49, 32, -26, -77, 23, -5, 64]
  Compare 32 and -26
  Swap 32 and -26
  List after swap: [28, -49, -26, 32, -77, 23, -5, 64]
  Compare 32 and -77
  Swap 32 and -77
  List after swap: [28, -49, -26, -77, 32, 23, -5, 64]
  Compare 32 and 23
  Swap 32 and 23
  List after swap: [28, -49, -26, -77, 23, 32, -5, 64]
  Compare 32 and -5
  Swap 32 and -5
  List after swap: [28, -49, -26, -77, 23, -5, 32, 64]

Pass 3:
  Compare 28 and -49
  Swap 28 and -49
  List after swap: [-49, 28, -26, -77, 23, -5, 32, 64]
  Compare 28 and -26
  Swap 28 and -26
  List after swap: [-49, -26, 28, -77, 23, -5, 32, 64]
  Compare 28 and -77
  Swap 28 and -77
  List after swap: [-49, -26, -77, 28, 23, -5, 32, 64]
  Compare 28 and 23
  Swap 28 and 23
  List after swap: [-49, -26, -77, 23, 28, -5, 32, 64]
  Compare 28 and -5
  Swap 28 and -5
  List after swap: [-49, -26, -77, 23, -5, 28, 32, 64]

Pass 4:
  Compare -49 and -26
  No swap needed
  Compare -26 and -77
  Swap -26 and -77
  List after swap: [-49, -77, -26, 23, -5, 28, 32, 64]
  Compare -26 and 23
  No swap needed
  Compare 23 and -5
  Swap 23 and -5
  List after swap: [-49, -77, -26, -5, 23, 28, 32, 64]

Pass 5:
  Compare -49 and -77
  Swap -49 and -77
  List after swap: [-77, -49, -26, -5, 23, 28, 32, 64]
  Compare -49 and -26
  No swap needed
  Compare -26 and -5
  No swap needed

Pass 6:
  Compare -77 and -49
  No swap needed
  Compare -49 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -49, -26, -5, 23, 28, 32, 64]
</think>

<response>-77, -49, -26, -5, 23, 28, 32, 64</response>


input: Execute bubble sort to sort 28, -23, 80, 33, 48, 0, -66, 54 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [28, -23, 80, 33, 48, 0, -66, 54]

Pass 1:
  Compare 28 and -23
  Swap 28 and -23
  List after swap: [-23, 28, 80, 33, 48, 0, -66, 54]
  Compare 28 and 80
  No swap needed
  Compare 80 and 33
  Swap 80 and 33
  List after swap: [-23, 28, 33, 80, 48, 0, -66, 54]
  Compare 80 and 48
  Swap 80 and 48
  List after swap: [-23, 28, 33, 48, 80, 0, -66, 54]
  Compare 80 and 0
  Swap 80 and 0
  List after swap: [-23, 28, 33, 48, 0, 80, -66, 54]
  Compare 80 and -66
  Swap 80 and -66
  List after swap: [-23, 28, 33, 48, 0, -66, 80, 54]
  Compare 80 and 54
  Swap 80 and 54
  List after swap: [-23, 28, 33, 48, 0, -66, 54, 80]

Pass 2:
  Compare -23 and 28
  No swap needed
  Compare 28 and 33
  No swap needed
  Compare 33 and 48
  No swap needed
  Compare 48 and 0
  Swap 48 and 0
  List after swap: [-23, 28, 33, 0, 48, -66, 54, 80]
  Compare 48 and -66
  Swap 48 and -66
  List after swap: [-23, 28, 33, 0, -66, 48, 54, 80]
  Compare 48 and 54
  No swap needed

Pass 3:
  Compare -23 and 28
  No swap needed
  Compare 28 and 33
  No swap needed
  Compare 33 and 0
  Swap 33 and 0
  List after swap: [-23, 28, 0, 33, -66, 48, 54, 80]
  Compare 33 and -66
  Swap 33 and -66
  List after swap: [-23, 28, 0, -66, 33, 48, 54, 80]
  Compare 33 and 48
  No swap needed

Pass 4:
  Compare -23 and 28
  No swap needed
  Compare 28 and 0
  Swap 28 and 0
  List after swap: [-23, 0, 28, -66, 33, 48, 54, 80]
  Compare 28 and -66
  Swap 28 and -66
  List after swap: [-23, 0, -66, 28, 33, 48, 54, 80]
  Compare 28 and 33
  No swap needed

Pass 5:
  Compare -23 and 0
  No swap needed
  Compare 0 and -66
  Swap 0 and -66
  List after swap: [-23, -66, 0, 28, 33, 48, 54, 80]
  Compare 0 and 28
  No swap needed

Pass 6:
  Compare -23 and -66
  Swap -23 and -66
  List after swap: [-66, -23, 0, 28, 33, 48, 54, 80]
  Compare -23 and 0
  No swap needed

Pass 7:
  Compare -66 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -23, 0, 28, 33, 48, 54, 80]
</think>

<response>-66, -23, 0, 28, 33, 48, 54, 80</response>


input: Demonstrate how bubble sort orders the integers 67, 87, -72, 64, 37 in ascending sequence, showing all steps.

output:
<think>
Initial list: [67, 87, -72, 64, 37]

Pass 1:
  Compare 67 and 87
  No swap needed
  Compare 87 and -72
  Swap 87 and -72
  List after swap: [67, -72, 87, 64, 37]
  Compare 87 and 64
  Swap 87 and 64
  List after swap: [67, -72, 64, 87, 37]
  Compare 87 and 37
  Swap 87 and 37
  List after swap: [67, -72, 64, 37, 87]

Pass 2:
  Compare 67 and -72
  Swap 67 and -72
  List after swap: [-72, 67, 64, 37, 87]
  Compare 67 and 64
  Swap 67 and 64
  List after swap: [-72, 64, 67, 37, 87]
  Compare 67 and 37
  Swap 67 and 37
  List after swap: [-72, 64, 37, 67, 87]

Pass 3:
  Compare -72 and 64
  No swap needed
  Compare 64 and 37
  Swap 64 and 37
  List after swap: [-72, 37, 64, 67, 87]

Pass 4:
  Compare -72 and 37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, 37, 64, 67, 87]
</think>

<response>-72, 37, 64, 67, 87</response>


input: Use the bubble sort technique to reorder 91, -74, -56, -13 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [91, -74, -56, -13]

Pass 1:
  Compare 91 and -74
  Swap 91 and -74
  List after swap: [-74, 91, -56, -13]
  Compare 91 and -56
  Swap 91 and -56
  List after swap: [-74, -56, 91, -13]
  Compare 91 and -13
  Swap 91 and -13
  List after swap: [-74, -56, -13, 91]

Pass 2:
  Compare -74 and -56
  No swap needed
  Compare -56 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -56, -13, 91]
</think>

<response>-74, -56, -13, 91</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -93, -35, -70.

output:
<think>
Initial list: [-93, -35, -70]

Pass 1:
  Compare -93 and -35
  No swap needed
  Compare -35 and -70
  Swap -35 and -70
  List after swap: [-93, -70, -35]

Pass 2:
  Compare -93 and -70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -70, -35]
</think>

<response>-93, -70, -35</response>


input: Sort the list -65, -75, -80, -28 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-65, -75, -80, -28]

Pass 1:
  Compare -65 and -75
  Swap -65 and -75
  List after swap: [-75, -65, -80, -28]
  Compare -65 and -80
  Swap -65 and -80
  List after swap: [-75, -80, -65, -28]
  Compare -65 and -28
  No swap needed

Pass 2:
  Compare -75 and -80
  Swap -75 and -80
  List after swap: [-80, -75, -65, -28]
  Compare -75 and -65
  No swap needed

Pass 3:
  Compare -80 and -75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -75, -65, -28]
</think>

<response>-80, -75, -65, -28</response>


input: Carry out the bubble sort algorithm on -44, 96, -42, -32, -57, -75, 24, -89, -65, 60 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-44, 96, -42, -32, -57, -75, 24, -89, -65, 60]

Pass 1:
  Compare -44 and 96
  No swap needed
  Compare 96 and -42
  Swap 96 and -42
  List after swap: [-44, -42, 96, -32, -57, -75, 24, -89, -65, 60]
  Compare 96 and -32
  Swap 96 and -32
  List after swap: [-44, -42, -32, 96, -57, -75, 24, -89, -65, 60]
  Compare 96 and -57
  Swap 96 and -57
  List after swap: [-44, -42, -32, -57, 96, -75, 24, -89, -65, 60]
  Compare 96 and -75
  Swap 96 and -75
  List after swap: [-44, -42, -32, -57, -75, 96, 24, -89, -65, 60]
  Compare 96 and 24
  Swap 96 and 24
  List after swap: [-44, -42, -32, -57, -75, 24, 96, -89, -65, 60]
  Compare 96 and -89
  Swap 96 and -89
  List after swap: [-44, -42, -32, -57, -75, 24, -89, 96, -65, 60]
  Compare 96 and -65
  Swap 96 and -65
  List after swap: [-44, -42, -32, -57, -75, 24, -89, -65, 96, 60]
  Compare 96 and 60
  Swap 96 and 60
  List after swap: [-44, -42, -32, -57, -75, 24, -89, -65, 60, 96]

Pass 2:
  Compare -44 and -42
  No swap needed
  Compare -42 and -32
  No swap needed
  Compare -32 and -57
  Swap -32 and -57
  List after swap: [-44, -42, -57, -32, -75, 24, -89, -65, 60, 96]
  Compare -32 and -75
  Swap -32 and -75
  List after swap: [-44, -42, -57, -75, -32, 24, -89, -65, 60, 96]
  Compare -32 and 24
  No swap needed
  Compare 24 and -89
  Swap 24 and -89
  List after swap: [-44, -42, -57, -75, -32, -89, 24, -65, 60, 96]
  Compare 24 and -65
  Swap 24 and -65
  List after swap: [-44, -42, -57, -75, -32, -89, -65, 24, 60, 96]
  Compare 24 and 60
  No swap needed

Pass 3:
  Compare -44 and -42
  No swap needed
  Compare -42 and -57
  Swap -42 and -57
  List after swap: [-44, -57, -42, -75, -32, -89, -65, 24, 60, 96]
  Compare -42 and -75
  Swap -42 and -75
  List after swap: [-44, -57, -75, -42, -32, -89, -65, 24, 60, 96]
  Compare -42 and -32
  No swap needed
  Compare -32 and -89
  Swap -32 and -89
  List after swap: [-44, -57, -75, -42, -89, -32, -65, 24, 60, 96]
  Compare -32 and -65
  Swap -32 and -65
  List after swap: [-44, -57, -75, -42, -89, -65, -32, 24, 60, 96]
  Compare -32 and 24
  No swap needed

Pass 4:
  Compare -44 and -57
  Swap -44 and -57
  List after swap: [-57, -44, -75, -42, -89, -65, -32, 24, 60, 96]
  Compare -44 and -75
  Swap -44 and -75
  List after swap: [-57, -75, -44, -42, -89, -65, -32, 24, 60, 96]
  Compare -44 and -42
  No swap needed
  Compare -42 and -89
  Swap -42 and -89
  List after swap: [-57, -75, -44, -89, -42, -65, -32, 24, 60, 96]
  Compare -42 and -65
  Swap -42 and -65
  List after swap: [-57, -75, -44, -89, -65, -42, -32, 24, 60, 96]
  Compare -42 and -32
  No swap needed

Pass 5:
  Compare -57 and -75
  Swap -57 and -75
  List after swap: [-75, -57, -44, -89, -65, -42, -32, 24, 60, 96]
  Compare -57 and -44
  No swap needed
  Compare -44 and -89
  Swap -44 and -89
  List after swap: [-75, -57, -89, -44, -65, -42, -32, 24, 60, 96]
  Compare -44 and -65
  Swap -44 and -65
  List after swap: [-75, -57, -89, -65, -44, -42, -32, 24, 60, 96]
  Compare -44 and -42
  No swap needed

Pass 6:
  Compare -75 and -57
  No swap needed
  Compare -57 and -89
  Swap -57 and -89
  List after swap: [-75, -89, -57, -65, -44, -42, -32, 24, 60, 96]
  Compare -57 and -65
  Swap -57 and -65
  List after swap: [-75, -89, -65, -57, -44, -42, -32, 24, 60, 96]
  Compare -57 and -44
  No swap needed

Pass 7:
  Compare -75 and -89
  Swap -75 and -89
  List after swap: [-89, -75, -65, -57, -44, -42, -32, 24, 60, 96]
  Compare -75 and -65
  No swap needed
  Compare -65 and -57
  No swap needed

Pass 8:
  Compare -89 and -75
  No swap needed
  Compare -75 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -75, -65, -57, -44, -42, -32, 24, 60, 96]
</think>

<response>-89, -75, -65, -57, -44, -42, -32, 24, 60, 96</response>


input: Demonstrate how bubble sort orders the integers -57, 34, -68, -19, 95, -59, -75, 62 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-57, 34, -68, -19, 95, -59, -75, 62]

Pass 1:
  Compare -57 and 34
  No swap needed
  Compare 34 and -68
  Swap 34 and -68
  List after swap: [-57, -68, 34, -19, 95, -59, -75, 62]
  Compare 34 and -19
  Swap 34 and -19
  List after swap: [-57, -68, -19, 34, 95, -59, -75, 62]
  Compare 34 and 95
  No swap needed
  Compare 95 and -59
  Swap 95 and -59
  List after swap: [-57, -68, -19, 34, -59, 95, -75, 62]
  Compare 95 and -75
  Swap 95 and -75
  List after swap: [-57, -68, -19, 34, -59, -75, 95, 62]
  Compare 95 and 62
  Swap 95 and 62
  List after swap: [-57, -68, -19, 34, -59, -75, 62, 95]

Pass 2:
  Compare -57 and -68
  Swap -57 and -68
  List after swap: [-68, -57, -19, 34, -59, -75, 62, 95]
  Compare -57 and -19
  No swap needed
  Compare -19 and 34
  No swap needed
  Compare 34 and -59
  Swap 34 and -59
  List after swap: [-68, -57, -19, -59, 34, -75, 62, 95]
  Compare 34 and -75
  Swap 34 and -75
  List after swap: [-68, -57, -19, -59, -75, 34, 62, 95]
  Compare 34 and 62
  No swap needed

Pass 3:
  Compare -68 and -57
  No swap needed
  Compare -57 and -19
  No swap needed
  Compare -19 and -59
  Swap -19 and -59
  List after swap: [-68, -57, -59, -19, -75, 34, 62, 95]
  Compare -19 and -75
  Swap -19 and -75
  List after swap: [-68, -57, -59, -75, -19, 34, 62, 95]
  Compare -19 and 34
  No swap needed

Pass 4:
  Compare -68 and -57
  No swap needed
  Compare -57 and -59
  Swap -57 and -59
  List after swap: [-68, -59, -57, -75, -19, 34, 62, 95]
  Compare -57 and -75
  Swap -57 and -75
  List after swap: [-68, -59, -75, -57, -19, 34, 62, 95]
  Compare -57 and -19
  No swap needed

Pass 5:
  Compare -68 and -59
  No swap needed
  Compare -59 and -75
  Swap -59 and -75
  List after swap: [-68, -75, -59, -57, -19, 34, 62, 95]
  Compare -59 and -57
  No swap needed

Pass 6:
  Compare -68 and -75
  Swap -68 and -75
  List after swap: [-75, -68, -59, -57, -19, 34, 62, 95]
  Compare -68 and -59
  No swap needed

Pass 7:
  Compare -75 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -68, -59, -57, -19, 34, 62, 95]
</think>

<response>-75, -68, -59, -57, -19, 34, 62, 95</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 39, 34, 59, -72, -73, 74, 48, -60, 52, -5.

output:
<think>
Initial list: [39, 34, 59, -72, -73, 74, 48, -60, 52, -5]

Pass 1:
  Compare 39 and 34
  Swap 39 and 34
  List after swap: [34, 39, 59, -72, -73, 74, 48, -60, 52, -5]
  Compare 39 and 59
  No swap needed
  Compare 59 and -72
  Swap 59 and -72
  List after swap: [34, 39, -72, 59, -73, 74, 48, -60, 52, -5]
  Compare 59 and -73
  Swap 59 and -73
  List after swap: [34, 39, -72, -73, 59, 74, 48, -60, 52, -5]
  Compare 59 and 74
  No swap needed
  Compare 74 and 48
  Swap 74 and 48
  List after swap: [34, 39, -72, -73, 59, 48, 74, -60, 52, -5]
  Compare 74 and -60
  Swap 74 and -60
  List after swap: [34, 39, -72, -73, 59, 48, -60, 74, 52, -5]
  Compare 74 and 52
  Swap 74 and 52
  List after swap: [34, 39, -72, -73, 59, 48, -60, 52, 74, -5]
  Compare 74 and -5
  Swap 74 and -5
  List after swap: [34, 39, -72, -73, 59, 48, -60, 52, -5, 74]

Pass 2:
  Compare 34 and 39
  No swap needed
  Compare 39 and -72
  Swap 39 and -72
  List after swap: [34, -72, 39, -73, 59, 48, -60, 52, -5, 74]
  Compare 39 and -73
  Swap 39 and -73
  List after swap: [34, -72, -73, 39, 59, 48, -60, 52, -5, 74]
  Compare 39 and 59
  No swap needed
  Compare 59 and 48
  Swap 59 and 48
  List after swap: [34, -72, -73, 39, 48, 59, -60, 52, -5, 74]
  Compare 59 and -60
  Swap 59 and -60
  List after swap: [34, -72, -73, 39, 48, -60, 59, 52, -5, 74]
  Compare 59 and 52
  Swap 59 and 52
  List after swap: [34, -72, -73, 39, 48, -60, 52, 59, -5, 74]
  Compare 59 and -5
  Swap 59 and -5
  List after swap: [34, -72, -73, 39, 48, -60, 52, -5, 59, 74]

Pass 3:
  Compare 34 and -72
  Swap 34 and -72
  List after swap: [-72, 34, -73, 39, 48, -60, 52, -5, 59, 74]
  Compare 34 and -73
  Swap 34 and -73
  List after swap: [-72, -73, 34, 39, 48, -60, 52, -5, 59, 74]
  Compare 34 and 39
  No swap needed
  Compare 39 and 48
  No swap needed
  Compare 48 and -60
  Swap 48 and -60
  List after swap: [-72, -73, 34, 39, -60, 48, 52, -5, 59, 74]
  Compare 48 and 52
  No swap needed
  Compare 52 and -5
  Swap 52 and -5
  List after swap: [-72, -73, 34, 39, -60, 48, -5, 52, 59, 74]

Pass 4:
  Compare -72 and -73
  Swap -72 and -73
  List after swap: [-73, -72, 34, 39, -60, 48, -5, 52, 59, 74]
  Compare -72 and 34
  No swap needed
  Compare 34 and 39
  No swap needed
  Compare 39 and -60
  Swap 39 and -60
  List after swap: [-73, -72, 34, -60, 39, 48, -5, 52, 59, 74]
  Compare 39 and 48
  No swap needed
  Compare 48 and -5
  Swap 48 and -5
  List after swap: [-73, -72, 34, -60, 39, -5, 48, 52, 59, 74]

Pass 5:
  Compare -73 and -72
  No swap needed
  Compare -72 and 34
  No swap needed
  Compare 34 and -60
  Swap 34 and -60
  List after swap: [-73, -72, -60, 34, 39, -5, 48, 52, 59, 74]
  Compare 34 and 39
  No swap needed
  Compare 39 and -5
  Swap 39 and -5
  List after swap: [-73, -72, -60, 34, -5, 39, 48, 52, 59, 74]

Pass 6:
  Compare -73 and -72
  No swap needed
  Compare -72 and -60
  No swap needed
  Compare -60 and 34
  No swap needed
  Compare 34 and -5
  Swap 34 and -5
  List after swap: [-73, -72, -60, -5, 34, 39, 48, 52, 59, 74]

Pass 7:
  Compare -73 and -72
  No swap needed
  Compare -72 and -60
  No swap needed
  Compare -60 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -72, -60, -5, 34, 39, 48, 52, 59, 74]
</think>

<response>-73, -72, -60, -5, 34, 39, 48, 52, 59, 74</response>


input: Using the bubble sort method, sort -60, -61, -14, -20, 19, -68, 72, 52, -67 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-60, -61, -14, -20, 19, -68, 72, 52, -67]

Pass 1:
  Compare -60 and -61
  Swap -60 and -61
  List after swap: [-61, -60, -14, -20, 19, -68, 72, 52, -67]
  Compare -60 and -14
  No swap needed
  Compare -14 and -20
  Swap -14 and -20
  List after swap: [-61, -60, -20, -14, 19, -68, 72, 52, -67]
  Compare -14 and 19
  No swap needed
  Compare 19 and -68
  Swap 19 and -68
  List after swap: [-61, -60, -20, -14, -68, 19, 72, 52, -67]
  Compare 19 and 72
  No swap needed
  Compare 72 and 52
  Swap 72 and 52
  List after swap: [-61, -60, -20, -14, -68, 19, 52, 72, -67]
  Compare 72 and -67
  Swap 72 and -67
  List after swap: [-61, -60, -20, -14, -68, 19, 52, -67, 72]

Pass 2:
  Compare -61 and -60
  No swap needed
  Compare -60 and -20
  No swap needed
  Compare -20 and -14
  No swap needed
  Compare -14 and -68
  Swap -14 and -68
  List after swap: [-61, -60, -20, -68, -14, 19, 52, -67, 72]
  Compare -14 and 19
  No swap needed
  Compare 19 and 52
  No swap needed
  Compare 52 and -67
  Swap 52 and -67
  List after swap: [-61, -60, -20, -68, -14, 19, -67, 52, 72]

Pass 3:
  Compare -61 and -60
  No swap needed
  Compare -60 and -20
  No swap needed
  Compare -20 and -68
  Swap -20 and -68
  List after swap: [-61, -60, -68, -20, -14, 19, -67, 52, 72]
  Compare -20 and -14
  No swap needed
  Compare -14 and 19
  No swap needed
  Compare 19 and -67
  Swap 19 and -67
  List after swap: [-61, -60, -68, -20, -14, -67, 19, 52, 72]

Pass 4:
  Compare -61 and -60
  No swap needed
  Compare -60 and -68
  Swap -60 and -68
  List after swap: [-61, -68, -60, -20, -14, -67, 19, 52, 72]
  Compare -60 and -20
  No swap needed
  Compare -20 and -14
  No swap needed
  Compare -14 and -67
  Swap -14 and -67
  List after swap: [-61, -68, -60, -20, -67, -14, 19, 52, 72]

Pass 5:
  Compare -61 and -68
  Swap -61 and -68
  List after swap: [-68, -61, -60, -20, -67, -14, 19, 52, 72]
  Compare -61 and -60
  No swap needed
  Compare -60 and -20
  No swap needed
  Compare -20 and -67
  Swap -20 and -67
  List after swap: [-68, -61, -60, -67, -20, -14, 19, 52, 72]

Pass 6:
  Compare -68 and -61
  No swap needed
  Compare -61 and -60
  No swap needed
  Compare -60 and -67
  Swap -60 and -67
  List after swap: [-68, -61, -67, -60, -20, -14, 19, 52, 72]

Pass 7:
  Compare -68 and -61
  No swap needed
  Compare -61 and -67
  Swap -61 and -67
  List after swap: [-68, -67, -61, -60, -20, -14, 19, 52, 72]

Pass 8:
  Compare -68 and -67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -67, -61, -60, -20, -14, 19, 52, 72]
</think>

<response>-68, -67, -61, -60, -20, -14, 19, 52, 72</response>


input: Use the bubble sort technique to reorder -45, -79, 44, -91, 11 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-45, -79, 44, -91, 11]

Pass 1:
  Compare -45 and -79
  Swap -45 and -79
  List after swap: [-79, -45, 44, -91, 11]
  Compare -45 and 44
  No swap needed
  Compare 44 and -91
  Swap 44 and -91
  List after swap: [-79, -45, -91, 44, 11]
  Compare 44 and 11
  Swap 44 and 11
  List after swap: [-79, -45, -91, 11, 44]

Pass 2:
  Compare -79 and -45
  No swap needed
  Compare -45 and -91
  Swap -45 and -91
  List after swap: [-79, -91, -45, 11, 44]
  Compare -45 and 11
  No swap needed

Pass 3:
  Compare -79 and -91
  Swap -79 and -91
  List after swap: [-91, -79, -45, 11, 44]
  Compare -79 and -45
  No swap needed

Pass 4:
  Compare -91 and -79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -79, -45, 11, 44]
</think>

<response>-91, -79, -45, 11, 44</response>


input: Sort these integers -98, 92, -93, 16 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-98, 92, -93, 16]

Pass 1:
  Compare -98 and 92
  No swap needed
  Compare 92 and -93
  Swap 92 and -93
  List after swap: [-98, -93, 92, 16]
  Compare 92 and 16
  Swap 92 and 16
  List after swap: [-98, -93, 16, 92]

Pass 2:
  Compare -98 and -93
  No swap needed
  Compare -93 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -93, 16, 92]
</think>

<response>-98, -93, 16, 92</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -44, -21, -82.

output:
<think>
Initial list: [-44, -21, -82]

Pass 1:
  Compare -44 and -21
  No swap needed
  Compare -21 and -82
  Swap -21 and -82
  List after swap: [-44, -82, -21]

Pass 2:
  Compare -44 and -82
  Swap -44 and -82
  List after swap: [-82, -44, -21]

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

Final sorted list: [-82, -44, -21]
</think>

<response>-82, -44, -21</response>


input: Sort the list 16, 38, -96, 84, -75, -58 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [16, 38, -96, 84, -75, -58]

Pass 1:
  Compare 16 and 38
  No swap needed
  Compare 38 and -96
  Swap 38 and -96
  List after swap: [16, -96, 38, 84, -75, -58]
  Compare 38 and 84
  No swap needed
  Compare 84 and -75
  Swap 84 and -75
  List after swap: [16, -96, 38, -75, 84, -58]
  Compare 84 and -58
  Swap 84 and -58
  List after swap: [16, -96, 38, -75, -58, 84]

Pass 2:
  Compare 16 and -96
  Swap 16 and -96
  List after swap: [-96, 16, 38, -75, -58, 84]
  Compare 16 and 38
  No swap needed
  Compare 38 and -75
  Swap 38 and -75
  List after swap: [-96, 16, -75, 38, -58, 84]
  Compare 38 and -58
  Swap 38 and -58
  List after swap: [-96, 16, -75, -58, 38, 84]

Pass 3:
  Compare -96 and 16
  No swap needed
  Compare 16 and -75
  Swap 16 and -75
  List after swap: [-96, -75, 16, -58, 38, 84]
  Compare 16 and -58
  Swap 16 and -58
  List after swap: [-96, -75, -58, 16, 38, 84]

Pass 4:
  Compare -96 and -75
  No swap needed
  Compare -75 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -75, -58, 16, 38, 84]
</think>

<response>-96, -75, -58, 16, 38, 84</response>


input: Demonstrate how bubble sort orders the integers -88, 79, -65, 85, -84, 62 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-88, 79, -65, 85, -84, 62]

Pass 1:
  Compare -88 and 79
  No swap needed
  Compare 79 and -65
  Swap 79 and -65
  List after swap: [-88, -65, 79, 85, -84, 62]
  Compare 79 and 85
  No swap needed
  Compare 85 and -84
  Swap 85 and -84
  List after swap: [-88, -65, 79, -84, 85, 62]
  Compare 85 and 62
  Swap 85 and 62
  List after swap: [-88, -65, 79, -84, 62, 85]

Pass 2:
  Compare -88 and -65
  No swap needed
  Compare -65 and 79
  No swap needed
  Compare 79 and -84
  Swap 79 and -84
  List after swap: [-88, -65, -84, 79, 62, 85]
  Compare 79 and 62
  Swap 79 and 62
  List after swap: [-88, -65, -84, 62, 79, 85]

Pass 3:
  Compare -88 and -65
  No swap needed
  Compare -65 and -84
  Swap -65 and -84
  List after swap: [-88, -84, -65, 62, 79, 85]
  Compare -65 and 62
  No swap needed

Pass 4:
  Compare -88 and -84
  No swap needed
  Compare -84 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -84, -65, 62, 79, 85]
</think>

<response>-88, -84, -65, 62, 79, 85</response>


input: Implement bubble sort on 32, -72, 7, 38, -54, -15, -99, 67, 81 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [32, -72, 7, 38, -54, -15, -99, 67, 81]

Pass 1:
  Compare 32 and -72
  Swap 32 and -72
  List after swap: [-72, 32, 7, 38, -54, -15, -99, 67, 81]
  Compare 32 and 7
  Swap 32 and 7
  List after swap: [-72, 7, 32, 38, -54, -15, -99, 67, 81]
  Compare 32 and 38
  No swap needed
  Compare 38 and -54
  Swap 38 and -54
  List after swap: [-72, 7, 32, -54, 38, -15, -99, 67, 81]
  Compare 38 and -15
  Swap 38 and -15
  List after swap: [-72, 7, 32, -54, -15, 38, -99, 67, 81]
  Compare 38 and -99
  Swap 38 and -99
  List after swap: [-72, 7, 32, -54, -15, -99, 38, 67, 81]
  Compare 38 and 67
  No swap needed
  Compare 67 and 81
  No swap needed

Pass 2:
  Compare -72 and 7
  No swap needed
  Compare 7 and 32
  No swap needed
  Compare 32 and -54
  Swap 32 and -54
  List after swap: [-72, 7, -54, 32, -15, -99, 38, 67, 81]
  Compare 32 and -15
  Swap 32 and -15
  List after swap: [-72, 7, -54, -15, 32, -99, 38, 67, 81]
  Compare 32 and -99
  Swap 32 and -99
  List after swap: [-72, 7, -54, -15, -99, 32, 38, 67, 81]
  Compare 32 and 38
  No swap needed
  Compare 38 and 67
  No swap needed

Pass 3:
  Compare -72 and 7
  No swap needed
  Compare 7 and -54
  Swap 7 and -54
  List after swap: [-72, -54, 7, -15, -99, 32, 38, 67, 81]
  Compare 7 and -15
  Swap 7 and -15
  List after swap: [-72, -54, -15, 7, -99, 32, 38, 67, 81]
  Compare 7 and -99
  Swap 7 and -99
  List after swap: [-72, -54, -15, -99, 7, 32, 38, 67, 81]
  Compare 7 and 32
  No swap needed
  Compare 32 and 38
  No swap needed

Pass 4:
  Compare -72 and -54
  No swap needed
  Compare -54 and -15
  No swap needed
  Compare -15 and -99
  Swap -15 and -99
  List after swap: [-72, -54, -99, -15, 7, 32, 38, 67, 81]
  Compare -15 and 7
  No swap needed
  Compare 7 and 32
  No swap needed

Pass 5:
  Compare -72 and -54
  No swap needed
  Compare -54 and -99
  Swap -54 and -99
  List after swap: [-72, -99, -54, -15, 7, 32, 38, 67, 81]
  Compare -54 and -15
  No swap needed
  Compare -15 and 7
  No swap needed

Pass 6:
  Compare -72 and -99
  Swap -72 and -99
  List after swap: [-99, -72, -54, -15, 7, 32, 38, 67, 81]
  Compare -72 and -54
  No swap needed
  Compare -54 and -15
  No swap needed

Pass 7:
  Compare -99 and -72
  No swap needed
  Compare -72 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -72, -54, -15, 7, 32, 38, 67, 81]
</think>

<response>-99, -72, -54, -15, 7, 32, 38, 67, 81</response>


input: Carry out the bubble sort algorithm on 65, -11, 61 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [65, -11, 61]

Pass 1:
  Compare 65 and -11
  Swap 65 and -11
  List after swap: [-11, 65, 61]
  Compare 65 and 61
  Swap 65 and 61
  List after swap: [-11, 61, 65]

Pass 2:
  Compare -11 and 61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-11, 61, 65]
</think>

<response>-11, 61, 65</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 2, 81, 51, -96, 17, 15, 88.

output:
<think>
Initial list: [2, 81, 51, -96, 17, 15, 88]

Pass 1:
  Compare 2 and 81
  No swap needed
  Compare 81 and 51
  Swap 81 and 51
  List after swap: [2, 51, 81, -96, 17, 15, 88]
  Compare 81 and -96
  Swap 81 and -96
  List after swap: [2, 51, -96, 81, 17, 15, 88]
  Compare 81 and 17
  Swap 81 and 17
  List after swap: [2, 51, -96, 17, 81, 15, 88]
  Compare 81 and 15
  Swap 81 and 15
  List after swap: [2, 51, -96, 17, 15, 81, 88]
  Compare 81 and 88
  No swap needed

Pass 2:
  Compare 2 and 51
  No swap needed
  Compare 51 and -96
  Swap 51 and -96
  List after swap: [2, -96, 51, 17, 15, 81, 88]
  Compare 51 and 17
  Swap 51 and 17
  List after swap: [2, -96, 17, 51, 15, 81, 88]
  Compare 51 and 15
  Swap 51 and 15
  List after swap: [2, -96, 17, 15, 51, 81, 88]
  Compare 51 and 81
  No swap needed

Pass 3:
  Compare 2 and -96
  Swap 2 and -96
  List after swap: [-96, 2, 17, 15, 51, 81, 88]
  Compare 2 and 17
  No swap needed
  Compare 17 and 15
  Swap 17 and 15
  List after swap: [-96, 2, 15, 17, 51, 81, 88]
  Compare 17 and 51
  No swap needed

Pass 4:
  Compare -96 and 2
  No swap needed
  Compare 2 and 15
  No swap needed
  Compare 15 and 17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, 2, 15, 17, 51, 81, 88]
</think>

<response>-96, 2, 15, 17, 51, 81, 88</response>


input: Execute bubble sort to sort -72, -55, 15, -76, -56, 52 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-72, -55, 15, -76, -56, 52]

Pass 1:
  Compare -72 and -55
  No swap needed
  Compare -55 and 15
  No swap needed
  Compare 15 and -76
  Swap 15 and -76
  List after swap: [-72, -55, -76, 15, -56, 52]
  Compare 15 and -56
  Swap 15 and -56
  List after swap: [-72, -55, -76, -56, 15, 52]
  Compare 15 and 52
  No swap needed

Pass 2:
  Compare -72 and -55
  No swap needed
  Compare -55 and -76
  Swap -55 and -76
  List after swap: [-72, -76, -55, -56, 15, 52]
  Compare -55 and -56
  Swap -55 and -56
  List after swap: [-72, -76, -56, -55, 15, 52]
  Compare -55 and 15
  No swap needed

Pass 3:
  Compare -72 and -76
  Swap -72 and -76
  List after swap: [-76, -72, -56, -55, 15, 52]
  Compare -72 and -56
  No swap needed
  Compare -56 and -55
  No swap needed

Pass 4:
  Compare -76 and -72
  No swap needed
  Compare -72 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -72, -56, -55, 15, 52]
</think>

<response>-76, -72, -56, -55, 15, 52</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 62, 61.

output:
<think>
Initial list: [62, 61]

Pass 1:
  Compare 62 and 61
  Swap 62 and 61
  List after swap: [61, 62]

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

Final sorted list: [61, 62]
</think>

<response>61, 62</response>


input: Using the bubble sort method, sort 95, 38 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [95, 38]

Pass 1:
  Compare 95 and 38
  Swap 95 and 38
  List after swap: [38, 95]

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

Final sorted list: [38, 95]
</think>

<response>38, 95</response>


input: Using the bubble sort method, sort -76, 4, 80, 46, -54, 82, -18, 33, -88, -75 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-76, 4, 80, 46, -54, 82, -18, 33, -88, -75]

Pass 1:
  Compare -76 and 4
  No swap needed
  Compare 4 and 80
  No swap needed
  Compare 80 and 46
  Swap 80 and 46
  List after swap: [-76, 4, 46, 80, -54, 82, -18, 33, -88, -75]
  Compare 80 and -54
  Swap 80 and -54
  List after swap: [-76, 4, 46, -54, 80, 82, -18, 33, -88, -75]
  Compare 80 and 82
  No swap needed
  Compare 82 and -18
  Swap 82 and -18
  List after swap: [-76, 4, 46, -54, 80, -18, 82, 33, -88, -75]
  Compare 82 and 33
  Swap 82 and 33
  List after swap: [-76, 4, 46, -54, 80, -18, 33, 82, -88, -75]
  Compare 82 and -88
  Swap 82 and -88
  List after swap: [-76, 4, 46, -54, 80, -18, 33, -88, 82, -75]
  Compare 82 and -75
  Swap 82 and -75
  List after swap: [-76, 4, 46, -54, 80, -18, 33, -88, -75, 82]

Pass 2:
  Compare -76 and 4
  No swap needed
  Compare 4 and 46
  No swap needed
  Compare 46 and -54
  Swap 46 and -54
  List after swap: [-76, 4, -54, 46, 80, -18, 33, -88, -75, 82]
  Compare 46 and 80
  No swap needed
  Compare 80 and -18
  Swap 80 and -18
  List after swap: [-76, 4, -54, 46, -18, 80, 33, -88, -75, 82]
  Compare 80 and 33
  Swap 80 and 33
  List after swap: [-76, 4, -54, 46, -18, 33, 80, -88, -75, 82]
  Compare 80 and -88
  Swap 80 and -88
  List after swap: [-76, 4, -54, 46, -18, 33, -88, 80, -75, 82]
  Compare 80 and -75
  Swap 80 and -75
  List after swap: [-76, 4, -54, 46, -18, 33, -88, -75, 80, 82]

Pass 3:
  Compare -76 and 4
  No swap needed
  Compare 4 and -54
  Swap 4 and -54
  List after swap: [-76, -54, 4, 46, -18, 33, -88, -75, 80, 82]
  Compare 4 and 46
  No swap needed
  Compare 46 and -18
  Swap 46 and -18
  List after swap: [-76, -54, 4, -18, 46, 33, -88, -75, 80, 82]
  Compare 46 and 33
  Swap 46 and 33
  List after swap: [-76, -54, 4, -18, 33, 46, -88, -75, 80, 82]
  Compare 46 and -88
  Swap 46 and -88
  List after swap: [-76, -54, 4, -18, 33, -88, 46, -75, 80, 82]
  Compare 46 and -75
  Swap 46 and -75
  List after swap: [-76, -54, 4, -18, 33, -88, -75, 46, 80, 82]

Pass 4:
  Compare -76 and -54
  No swap needed
  Compare -54 and 4
  No swap needed
  Compare 4 and -18
  Swap 4 and -18
  List after swap: [-76, -54, -18, 4, 33, -88, -75, 46, 80, 82]
  Compare 4 and 33
  No swap needed
  Compare 33 and -88
  Swap 33 and -88
  List after swap: [-76, -54, -18, 4, -88, 33, -75, 46, 80, 82]
  Compare 33 and -75
  Swap 33 and -75
  List after swap: [-76, -54, -18, 4, -88, -75, 33, 46, 80, 82]

Pass 5:
  Compare -76 and -54
  No swap needed
  Compare -54 and -18
  No swap needed
  Compare -18 and 4
  No swap needed
  Compare 4 and -88
  Swap 4 and -88
  List after swap: [-76, -54, -18, -88, 4, -75, 33, 46, 80, 82]
  Compare 4 and -75
  Swap 4 and -75
  List after swap: [-76, -54, -18, -88, -75, 4, 33, 46, 80, 82]

Pass 6:
  Compare -76 and -54
  No swap needed
  Compare -54 and -18
  No swap needed
  Compare -18 and -88
  Swap -18 and -88
  List after swap: [-76, -54, -88, -18, -75, 4, 33, 46, 80, 82]
  Compare -18 and -75
  Swap -18 and -75
  List after swap: [-76, -54, -88, -75, -18, 4, 33, 46, 80, 82]

Pass 7:
  Compare -76 and -54
  No swap needed
  Compare -54 and -88
  Swap -54 and -88
  List after swap: [-76, -88, -54, -75, -18, 4, 33, 46, 80, 82]
  Compare -54 and -75
  Swap -54 and -75
  List after swap: [-76, -88, -75, -54, -18, 4, 33, 46, 80, 82]

Pass 8:
  Compare -76 and -88
  Swap -76 and -88
  List after swap: [-88, -76, -75, -54, -18, 4, 33, 46, 80, 82]
  Compare -76 and -75
  No swap needed

Pass 9:
  Compare -88 and -76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -76, -75, -54, -18, 4, 33, 46, 80, 82]
</think>

<response>-88, -76, -75, -54, -18, 4, 33, 46, 80, 82</response>


input: Sort the list -50, -16, 73, -88, 49 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-50, -16, 73, -88, 49]

Pass 1:
  Compare -50 and -16
  No swap needed
  Compare -16 and 73
  No swap needed
  Compare 73 and -88
  Swap 73 and -88
  List after swap: [-50, -16, -88, 73, 49]
  Compare 73 and 49
  Swap 73 and 49
  List after swap: [-50, -16, -88, 49, 73]

Pass 2:
  Compare -50 and -16
  No swap needed
  Compare -16 and -88
  Swap -16 and -88
  List after swap: [-50, -88, -16, 49, 73]
  Compare -16 and 49
  No swap needed

Pass 3:
  Compare -50 and -88
  Swap -50 and -88
  List after swap: [-88, -50, -16, 49, 73]
  Compare -50 and -16
  No swap needed

Pass 4:
  Compare -88 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -50, -16, 49, 73]
</think>

<response>-88, -50, -16, 49, 73</response>


input: Demonstrate how bubble sort orders the integers 17, -72, 87, -63, 75, 83, -90, -61 in ascending sequence, showing all steps.

output:
<think>
Initial list: [17, -72, 87, -63, 75, 83, -90, -61]

Pass 1:
  Compare 17 and -72
  Swap 17 and -72
  List after swap: [-72, 17, 87, -63, 75, 83, -90, -61]
  Compare 17 and 87
  No swap needed
  Compare 87 and -63
  Swap 87 and -63
  List after swap: [-72, 17, -63, 87, 75, 83, -90, -61]
  Compare 87 and 75
  Swap 87 and 75
  List after swap: [-72, 17, -63, 75, 87, 83, -90, -61]
  Compare 87 and 83
  Swap 87 and 83
  List after swap: [-72, 17, -63, 75, 83, 87, -90, -61]
  Compare 87 and -90
  Swap 87 and -90
  List after swap: [-72, 17, -63, 75, 83, -90, 87, -61]
  Compare 87 and -61
  Swap 87 and -61
  List after swap: [-72, 17, -63, 75, 83, -90, -61, 87]

Pass 2:
  Compare -72 and 17
  No swap needed
  Compare 17 and -63
  Swap 17 and -63
  List after swap: [-72, -63, 17, 75, 83, -90, -61, 87]
  Compare 17 and 75
  No swap needed
  Compare 75 and 83
  No swap needed
  Compare 83 and -90
  Swap 83 and -90
  List after swap: [-72, -63, 17, 75, -90, 83, -61, 87]
  Compare 83 and -61
  Swap 83 and -61
  List after swap: [-72, -63, 17, 75, -90, -61, 83, 87]

Pass 3:
  Compare -72 and -63
  No swap needed
  Compare -63 and 17
  No swap needed
  Compare 17 and 75
  No swap needed
  Compare 75 and -90
  Swap 75 and -90
  List after swap: [-72, -63, 17, -90, 75, -61, 83, 87]
  Compare 75 and -61
  Swap 75 and -61
  List after swap: [-72, -63, 17, -90, -61, 75, 83, 87]

Pass 4:
  Compare -72 and -63
  No swap needed
  Compare -63 and 17
  No swap needed
  Compare 17 and -90
  Swap 17 and -90
  List after swap: [-72, -63, -90, 17, -61, 75, 83, 87]
  Compare 17 and -61
  Swap 17 and -61
  List after swap: [-72, -63, -90, -61, 17, 75, 83, 87]

Pass 5:
  Compare -72 and -63
  No swap needed
  Compare -63 and -90
  Swap -63 and -90
  List after swap: [-72, -90, -63, -61, 17, 75, 83, 87]
  Compare -63 and -61
  No swap needed

Pass 6:
  Compare -72 and -90
  Swap -72 and -90
  List after swap: [-90, -72, -63, -61, 17, 75, 83, 87]
  Compare -72 and -63
  No swap needed

Pass 7:
  Compare -90 and -72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -72, -63, -61, 17, 75, 83, 87]
</think>

<response>-90, -72, -63, -61, 17, 75, 83, 87</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 87, 76, -77.

output:
<think>
Initial list: [87, 76, -77]

Pass 1:
  Compare 87 and 76
  Swap 87 and 76
  List after swap: [76, 87, -77]
  Compare 87 and -77
  Swap 87 and -77
  List after swap: [76, -77, 87]

Pass 2:
  Compare 76 and -77
  Swap 76 and -77
  List after swap: [-77, 76, 87]

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

Final sorted list: [-77, 76, 87]
</think>

<response>-77, 76, 87</response>


input: Demonstrate how bubble sort orders the integers -25, -64, -95, -98, -7, -60 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-25, -64, -95, -98, -7, -60]

Pass 1:
  Compare -25 and -64
  Swap -25 and -64
  List after swap: [-64, -25, -95, -98, -7, -60]
  Compare -25 and -95
  Swap -25 and -95
  List after swap: [-64, -95, -25, -98, -7, -60]
  Compare -25 and -98
  Swap -25 and -98
  List after swap: [-64, -95, -98, -25, -7, -60]
  Compare -25 and -7
  No swap needed
  Compare -7 and -60
  Swap -7 and -60
  List after swap: [-64, -95, -98, -25, -60, -7]

Pass 2:
  Compare -64 and -95
  Swap -64 and -95
  List after swap: [-95, -64, -98, -25, -60, -7]
  Compare -64 and -98
  Swap -64 and -98
  List after swap: [-95, -98, -64, -25, -60, -7]
  Compare -64 and -25
  No swap needed
  Compare -25 and -60
  Swap -25 and -60
  List after swap: [-95, -98, -64, -60, -25, -7]

Pass 3:
  Compare -95 and -98
  Swap -95 and -98
  List after swap: [-98, -95, -64, -60, -25, -7]
  Compare -95 and -64
  No swap needed
  Compare -64 and -60
  No swap needed

Pass 4:
  Compare -98 and -95
  No swap needed
  Compare -95 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -95, -64, -60, -25, -7]
</think>

<response>-98, -95, -64, -60, -25, -7</response>


input: Sort the list 19, 83, 75, 95, 67, -85, -47, -19 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [19, 83, 75, 95, 67, -85, -47, -19]

Pass 1:
  Compare 19 and 83
  No swap needed
  Compare 83 and 75
  Swap 83 and 75
  List after swap: [19, 75, 83, 95, 67, -85, -47, -19]
  Compare 83 and 95
  No swap needed
  Compare 95 and 67
  Swap 95 and 67
  List after swap: [19, 75, 83, 67, 95, -85, -47, -19]
  Compare 95 and -85
  Swap 95 and -85
  List after swap: [19, 75, 83, 67, -85, 95, -47, -19]
  Compare 95 and -47
  Swap 95 and -47
  List after swap: [19, 75, 83, 67, -85, -47, 95, -19]
  Compare 95 and -19
  Swap 95 and -19
  List after swap: [19, 75, 83, 67, -85, -47, -19, 95]

Pass 2:
  Compare 19 and 75
  No swap needed
  Compare 75 and 83
  No swap needed
  Compare 83 and 67
  Swap 83 and 67
  List after swap: [19, 75, 67, 83, -85, -47, -19, 95]
  Compare 83 and -85
  Swap 83 and -85
  List after swap: [19, 75, 67, -85, 83, -47, -19, 95]
  Compare 83 and -47
  Swap 83 and -47
  List after swap: [19, 75, 67, -85, -47, 83, -19, 95]
  Compare 83 and -19
  Swap 83 and -19
  List after swap: [19, 75, 67, -85, -47, -19, 83, 95]

Pass 3:
  Compare 19 and 75
  No swap needed
  Compare 75 and 67
  Swap 75 and 67
  List after swap: [19, 67, 75, -85, -47, -19, 83, 95]
  Compare 75 and -85
  Swap 75 and -85
  List after swap: [19, 67, -85, 75, -47, -19, 83, 95]
  Compare 75 and -47
  Swap 75 and -47
  List after swap: [19, 67, -85, -47, 75, -19, 83, 95]
  Compare 75 and -19
  Swap 75 and -19
  List after swap: [19, 67, -85, -47, -19, 75, 83, 95]

Pass 4:
  Compare 19 and 67
  No swap needed
  Compare 67 and -85
  Swap 67 and -85
  List after swap: [19, -85, 67, -47, -19, 75, 83, 95]
  Compare 67 and -47
  Swap 67 and -47
  List after swap: [19, -85, -47, 67, -19, 75, 83, 95]
  Compare 67 and -19
  Swap 67 and -19
  List after swap: [19, -85, -47, -19, 67, 75, 83, 95]

Pass 5:
  Compare 19 and -85
  Swap 19 and -85
  List after swap: [-85, 19, -47, -19, 67, 75, 83, 95]
  Compare 19 and -47
  Swap 19 and -47
  List after swap: [-85, -47, 19, -19, 67, 75, 83, 95]
  Compare 19 and -19
  Swap 19 and -19
  List after swap: [-85, -47, -19, 19, 67, 75, 83, 95]

Pass 6:
  Compare -85 and -47
  No swap needed
  Compare -47 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -47, -19, 19, 67, 75, 83, 95]
</think>

<response>-85, -47, -19, 19, 67, 75, 83, 95</response>


input: Demonstrate how bubble sort orders the integers 69, 54 in ascending sequence, showing all steps.

output:
<think>
Initial list: [69, 54]

Pass 1:
  Compare 69 and 54
  Swap 69 and 54
  List after swap: [54, 69]

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

Final sorted list: [54, 69]
</think>

<response>54, 69</response>


input: Carry out the bubble sort algorithm on -54, 1, -53, -99, -20, -79, -51, -66 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-54, 1, -53, -99, -20, -79, -51, -66]

Pass 1:
  Compare -54 and 1
  No swap needed
  Compare 1 and -53
  Swap 1 and -53
  List after swap: [-54, -53, 1, -99, -20, -79, -51, -66]
  Compare 1 and -99
  Swap 1 and -99
  List after swap: [-54, -53, -99, 1, -20, -79, -51, -66]
  Compare 1 and -20
  Swap 1 and -20
  List after swap: [-54, -53, -99, -20, 1, -79, -51, -66]
  Compare 1 and -79
  Swap 1 and -79
  List after swap: [-54, -53, -99, -20, -79, 1, -51, -66]
  Compare 1 and -51
  Swap 1 and -51
  List after swap: [-54, -53, -99, -20, -79, -51, 1, -66]
  Compare 1 and -66
  Swap 1 and -66
  List after swap: [-54, -53, -99, -20, -79, -51, -66, 1]

Pass 2:
  Compare -54 and -53
  No swap needed
  Compare -53 and -99
  Swap -53 and -99
  List after swap: [-54, -99, -53, -20, -79, -51, -66, 1]
  Compare -53 and -20
  No swap needed
  Compare -20 and -79
  Swap -20 and -79
  List after swap: [-54, -99, -53, -79, -20, -51, -66, 1]
  Compare -20 and -51
  Swap -20 and -51
  List after swap: [-54, -99, -53, -79, -51, -20, -66, 1]
  Compare -20 and -66
  Swap -20 and -66
  List after swap: [-54, -99, -53, -79, -51, -66, -20, 1]

Pass 3:
  Compare -54 and -99
  Swap -54 and -99
  List after swap: [-99, -54, -53, -79, -51, -66, -20, 1]
  Compare -54 and -53
  No swap needed
  Compare -53 and -79
  Swap -53 and -79
  List after swap: [-99, -54, -79, -53, -51, -66, -20, 1]
  Compare -53 and -51
  No swap needed
  Compare -51 and -66
  Swap -51 and -66
  List after swap: [-99, -54, -79, -53, -66, -51, -20, 1]

Pass 4:
  Compare -99 and -54
  No swap needed
  Compare -54 and -79
  Swap -54 and -79
  List after swap: [-99, -79, -54, -53, -66, -51, -20, 1]
  Compare -54 and -53
  No swap needed
  Compare -53 and -66
  Swap -53 and -66
  List after swap: [-99, -79, -54, -66, -53, -51, -20, 1]

Pass 5:
  Compare -99 and -79
  No swap needed
  Compare -79 and -54
  No swap needed
  Compare -54 and -66
  Swap -54 and -66
  List after swap: [-99, -79, -66, -54, -53, -51, -20, 1]

Pass 6:
  Compare -99 and -79
  No swap needed
  Compare -79 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -79, -66, -54, -53, -51, -20, 1]
</think>

<response>-99, -79, -66, -54, -53, -51, -20, 1</response>


input: Execute bubble sort to sort 19, -12, 87 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [19, -12, 87]

Pass 1:
  Compare 19 and -12
  Swap 19 and -12
  List after swap: [-12, 19, 87]
  Compare 19 and 87
  No swap needed

Pass 2:
  Compare -12 and 19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-12, 19, 87]
</think>

<response>-12, 19, 87</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 90, 53, 61, -37, -27, -80, 13, -87, 81.

output:
<think>
Initial list: [90, 53, 61, -37, -27, -80, 13, -87, 81]

Pass 1:
  Compare 90 and 53
  Swap 90 and 53
  List after swap: [53, 90, 61, -37, -27, -80, 13, -87, 81]
  Compare 90 and 61
  Swap 90 and 61
  List after swap: [53, 61, 90, -37, -27, -80, 13, -87, 81]
  Compare 90 and -37
  Swap 90 and -37
  List after swap: [53, 61, -37, 90, -27, -80, 13, -87, 81]
  Compare 90 and -27
  Swap 90 and -27
  List after swap: [53, 61, -37, -27, 90, -80, 13, -87, 81]
  Compare 90 and -80
  Swap 90 and -80
  List after swap: [53, 61, -37, -27, -80, 90, 13, -87, 81]
  Compare 90 and 13
  Swap 90 and 13
  List after swap: [53, 61, -37, -27, -80, 13, 90, -87, 81]
  Compare 90 and -87
  Swap 90 and -87
  List after swap: [53, 61, -37, -27, -80, 13, -87, 90, 81]
  Compare 90 and 81
  Swap 90 and 81
  List after swap: [53, 61, -37, -27, -80, 13, -87, 81, 90]

Pass 2:
  Compare 53 and 61
  No swap needed
  Compare 61 and -37
  Swap 61 and -37
  List after swap: [53, -37, 61, -27, -80, 13, -87, 81, 90]
  Compare 61 and -27
  Swap 61 and -27
  List after swap: [53, -37, -27, 61, -80, 13, -87, 81, 90]
  Compare 61 and -80
  Swap 61 and -80
  List after swap: [53, -37, -27, -80, 61, 13, -87, 81, 90]
  Compare 61 and 13
  Swap 61 and 13
  List after swap: [53, -37, -27, -80, 13, 61, -87, 81, 90]
  Compare 61 and -87
  Swap 61 and -87
  List after swap: [53, -37, -27, -80, 13, -87, 61, 81, 90]
  Compare 61 and 81
  No swap needed

Pass 3:
  Compare 53 and -37
  Swap 53 and -37
  List after swap: [-37, 53, -27, -80, 13, -87, 61, 81, 90]
  Compare 53 and -27
  Swap 53 and -27
  List after swap: [-37, -27, 53, -80, 13, -87, 61, 81, 90]
  Compare 53 and -80
  Swap 53 and -80
  List after swap: [-37, -27, -80, 53, 13, -87, 61, 81, 90]
  Compare 53 and 13
  Swap 53 and 13
  List after swap: [-37, -27, -80, 13, 53, -87, 61, 81, 90]
  Compare 53 and -87
  Swap 53 and -87
  List after swap: [-37, -27, -80, 13, -87, 53, 61, 81, 90]
  Compare 53 and 61
  No swap needed

Pass 4:
  Compare -37 and -27
  No swap needed
  Compare -27 and -80
  Swap -27 and -80
  List after swap: [-37, -80, -27, 13, -87, 53, 61, 81, 90]
  Compare -27 and 13
  No swap needed
  Compare 13 and -87
  Swap 13 and -87
  List after swap: [-37, -80, -27, -87, 13, 53, 61, 81, 90]
  Compare 13 and 53
  No swap needed

Pass 5:
  Compare -37 and -80
  Swap -37 and -80
  List after swap: [-80, -37, -27, -87, 13, 53, 61, 81, 90]
  Compare -37 and -27
  No swap needed
  Compare -27 and -87
  Swap -27 and -87
  List after swap: [-80, -37, -87, -27, 13, 53, 61, 81, 90]
  Compare -27 and 13
  No swap needed

Pass 6:
  Compare -80 and -37
  No swap needed
  Compare -37 and -87
  Swap -37 and -87
  List after swap: [-80, -87, -37, -27, 13, 53, 61, 81, 90]
  Compare -37 and -27
  No swap needed

Pass 7:
  Compare -80 and -87
  Swap -80 and -87
  List after swap: [-87, -80, -37, -27, 13, 53, 61, 81, 90]
  Compare -80 and -37
  No swap needed

Pass 8:
  Compare -87 and -80
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -80, -37, -27, 13, 53, 61, 81, 90]
</think>

<response>-87, -80, -37, -27, 13, 53, 61, 81, 90</response>


input: Arrange the numbers 73, -49, 85 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [73, -49, 85]

Pass 1:
  Compare 73 and -49
  Swap 73 and -49
  List after swap: [-49, 73, 85]
  Compare 73 and 85
  No swap needed

Pass 2:
  Compare -49 and 73
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-49, 73, 85]
</think>

<response>-49, 73, 85</response>


input: Carry out the bubble sort algorithm on 9, 31, 68, -77, -75, 13, -51 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [9, 31, 68, -77, -75, 13, -51]

Pass 1:
  Compare 9 and 31
  No swap needed
  Compare 31 and 68
  No swap needed
  Compare 68 and -77
  Swap 68 and -77
  List after swap: [9, 31, -77, 68, -75, 13, -51]
  Compare 68 and -75
  Swap 68 and -75
  List after swap: [9, 31, -77, -75, 68, 13, -51]
  Compare 68 and 13
  Swap 68 and 13
  List after swap: [9, 31, -77, -75, 13, 68, -51]
  Compare 68 and -51
  Swap 68 and -51
  List after swap: [9, 31, -77, -75, 13, -51, 68]

Pass 2:
  Compare 9 and 31
  No swap needed
  Compare 31 and -77
  Swap 31 and -77
  List after swap: [9, -77, 31, -75, 13, -51, 68]
  Compare 31 and -75
  Swap 31 and -75
  List after swap: [9, -77, -75, 31, 13, -51, 68]
  Compare 31 and 13
  Swap 31 and 13
  List after swap: [9, -77, -75, 13, 31, -51, 68]
  Compare 31 and -51
  Swap 31 and -51
  List after swap: [9, -77, -75, 13, -51, 31, 68]

Pass 3:
  Compare 9 and -77
  Swap 9 and -77
  List after swap: [-77, 9, -75, 13, -51, 31, 68]
  Compare 9 and -75
  Swap 9 and -75
  List after swap: [-77, -75, 9, 13, -51, 31, 68]
  Compare 9 and 13
  No swap needed
  Compare 13 and -51
  Swap 13 and -51
  List after swap: [-77, -75, 9, -51, 13, 31, 68]

Pass 4:
  Compare -77 and -75
  No swap needed
  Compare -75 and 9
  No swap needed
  Compare 9 and -51
  Swap 9 and -51
  List after swap: [-77, -75, -51, 9, 13, 31, 68]

Pass 5:
  Compare -77 and -75
  No swap needed
  Compare -75 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -75, -51, 9, 13, 31, 68]
</think>

<response>-77, -75, -51, 9, 13, 31, 68</response>


input: Use the bubble sort technique to reorder 94, 13, 45, 82, 98 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [94, 13, 45, 82, 98]

Pass 1:
  Compare 94 and 13
  Swap 94 and 13
  List after swap: [13, 94, 45, 82, 98]
  Compare 94 and 45
  Swap 94 and 45
  List after swap: [13, 45, 94, 82, 98]
  Compare 94 and 82
  Swap 94 and 82
  List after swap: [13, 45, 82, 94, 98]
  Compare 94 and 98
  No swap needed

Pass 2:
  Compare 13 and 45
  No swap needed
  Compare 45 and 82
  No swap needed
  Compare 82 and 94
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [13, 45, 82, 94, 98]
</think>

<response>13, 45, 82, 94, 98</response>


input: Sort the list 20, -72, -28, 32, -68, 39, 23 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [20, -72, -28, 32, -68, 39, 23]

Pass 1:
  Compare 20 and -72
  Swap 20 and -72
  List after swap: [-72, 20, -28, 32, -68, 39, 23]
  Compare 20 and -28
  Swap 20 and -28
  List after swap: [-72, -28, 20, 32, -68, 39, 23]
  Compare 20 and 32
  No swap needed
  Compare 32 and -68
  Swap 32 and -68
  List after swap: [-72, -28, 20, -68, 32, 39, 23]
  Compare 32 and 39
  No swap needed
  Compare 39 and 23
  Swap 39 and 23
  List after swap: [-72, -28, 20, -68, 32, 23, 39]

Pass 2:
  Compare -72 and -28
  No swap needed
  Compare -28 and 20
  No swap needed
  Compare 20 and -68
  Swap 20 and -68
  List after swap: [-72, -28, -68, 20, 32, 23, 39]
  Compare 20 and 32
  No swap needed
  Compare 32 and 23
  Swap 32 and 23
  List after swap: [-72, -28, -68, 20, 23, 32, 39]

Pass 3:
  Compare -72 and -28
  No swap needed
  Compare -28 and -68
  Swap -28 and -68
  List after swap: [-72, -68, -28, 20, 23, 32, 39]
  Compare -28 and 20
  No swap needed
  Compare 20 and 23
  No swap needed

Pass 4:
  Compare -72 and -68
  No swap needed
  Compare -68 and -28
  No swap needed
  Compare -28 and 20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -68, -28, 20, 23, 32, 39]
</think>

<response>-72, -68, -28, 20, 23, 32, 39</response>


input: Sort the list -26, 59, 68, 53, -16, -59, -57 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-26, 59, 68, 53, -16, -59, -57]

Pass 1:
  Compare -26 and 59
  No swap needed
  Compare 59 and 68
  No swap needed
  Compare 68 and 53
  Swap 68 and 53
  List after swap: [-26, 59, 53, 68, -16, -59, -57]
  Compare 68 and -16
  Swap 68 and -16
  List after swap: [-26, 59, 53, -16, 68, -59, -57]
  Compare 68 and -59
  Swap 68 and -59
  List after swap: [-26, 59, 53, -16, -59, 68, -57]
  Compare 68 and -57
  Swap 68 and -57
  List after swap: [-26, 59, 53, -16, -59, -57, 68]

Pass 2:
  Compare -26 and 59
  No swap needed
  Compare 59 and 53
  Swap 59 and 53
  List after swap: [-26, 53, 59, -16, -59, -57, 68]
  Compare 59 and -16
  Swap 59 and -16
  List after swap: [-26, 53, -16, 59, -59, -57, 68]
  Compare 59 and -59
  Swap 59 and -59
  List after swap: [-26, 53, -16, -59, 59, -57, 68]
  Compare 59 and -57
  Swap 59 and -57
  List after swap: [-26, 53, -16, -59, -57, 59, 68]

Pass 3:
  Compare -26 and 53
  No swap needed
  Compare 53 and -16
  Swap 53 and -16
  List after swap: [-26, -16, 53, -59, -57, 59, 68]
  Compare 53 and -59
  Swap 53 and -59
  List after swap: [-26, -16, -59, 53, -57, 59, 68]
  Compare 53 and -57
  Swap 53 and -57
  List after swap: [-26, -16, -59, -57, 53, 59, 68]

Pass 4:
  Compare -26 and -16
  No swap needed
  Compare -16 and -59
  Swap -16 and -59
  List after swap: [-26, -59, -16, -57, 53, 59, 68]
  Compare -16 and -57
  Swap -16 and -57
  List after swap: [-26, -59, -57, -16, 53, 59, 68]

Pass 5:
  Compare -26 and -59
  Swap -26 and -59
  List after swap: [-59, -26, -57, -16, 53, 59, 68]
  Compare -26 and -57
  Swap -26 and -57
  List after swap: [-59, -57, -26, -16, 53, 59, 68]

Pass 6:
  Compare -59 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, -57, -26, -16, 53, 59, 68]
</think>

<response>-59, -57, -26, -16, 53, 59, 68</response>


input: Demonstrate how bubble sort orders the integers -35, -52, 62, -76, 44, -15, -46, -11 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-35, -52, 62, -76, 44, -15, -46, -11]

Pass 1:
  Compare -35 and -52
  Swap -35 and -52
  List after swap: [-52, -35, 62, -76, 44, -15, -46, -11]
  Compare -35 and 62
  No swap needed
  Compare 62 and -76
  Swap 62 and -76
  List after swap: [-52, -35, -76, 62, 44, -15, -46, -11]
  Compare 62 and 44
  Swap 62 and 44
  List after swap: [-52, -35, -76, 44, 62, -15, -46, -11]
  Compare 62 and -15
  Swap 62 and -15
  List after swap: [-52, -35, -76, 44, -15, 62, -46, -11]
  Compare 62 and -46
  Swap 62 and -46
  List after swap: [-52, -35, -76, 44, -15, -46, 62, -11]
  Compare 62 and -11
  Swap 62 and -11
  List after swap: [-52, -35, -76, 44, -15, -46, -11, 62]

Pass 2:
  Compare -52 and -35
  No swap needed
  Compare -35 and -76
  Swap -35 and -76
  List after swap: [-52, -76, -35, 44, -15, -46, -11, 62]
  Compare -35 and 44
  No swap needed
  Compare 44 and -15
  Swap 44 and -15
  List after swap: [-52, -76, -35, -15, 44, -46, -11, 62]
  Compare 44 and -46
  Swap 44 and -46
  List after swap: [-52, -76, -35, -15, -46, 44, -11, 62]
  Compare 44 and -11
  Swap 44 and -11
  List after swap: [-52, -76, -35, -15, -46, -11, 44, 62]

Pass 3:
  Compare -52 and -76
  Swap -52 and -76
  List after swap: [-76, -52, -35, -15, -46, -11, 44, 62]
  Compare -52 and -35
  No swap needed
  Compare -35 and -15
  No swap needed
  Compare -15 and -46
  Swap -15 and -46
  List after swap: [-76, -52, -35, -46, -15, -11, 44, 62]
  Compare -15 and -11
  No swap needed

Pass 4:
  Compare -76 and -52
  No swap needed
  Compare -52 and -35
  No swap needed
  Compare -35 and -46
  Swap -35 and -46
  List after swap: [-76, -52, -46, -35, -15, -11, 44, 62]
  Compare -35 and -15
  No swap needed

Pass 5:
  Compare -76 and -52
  No swap needed
  Compare -52 and -46
  No swap needed
  Compare -46 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -52, -46, -35, -15, -11, 44, 62]
</think>

<response>-76, -52, -46, -35, -15, -11, 44, 62</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 96, 48, -86, -72, -81, -24, 3, 9, 67, 32.

output:
<think>
Initial list: [96, 48, -86, -72, -81, -24, 3, 9, 67, 32]

Pass 1:
  Compare 96 and 48
  Swap 96 and 48
  List after swap: [48, 96, -86, -72, -81, -24, 3, 9, 67, 32]
  Compare 96 and -86
  Swap 96 and -86
  List after swap: [48, -86, 96, -72, -81, -24, 3, 9, 67, 32]
  Compare 96 and -72
  Swap 96 and -72
  List after swap: [48, -86, -72, 96, -81, -24, 3, 9, 67, 32]
  Compare 96 and -81
  Swap 96 and -81
  List after swap: [48, -86, -72, -81, 96, -24, 3, 9, 67, 32]
  Compare 96 and -24
  Swap 96 and -24
  List after swap: [48, -86, -72, -81, -24, 96, 3, 9, 67, 32]
  Compare 96 and 3
  Swap 96 and 3
  List after swap: [48, -86, -72, -81, -24, 3, 96, 9, 67, 32]
  Compare 96 and 9
  Swap 96 and 9
  List after swap: [48, -86, -72, -81, -24, 3, 9, 96, 67, 32]
  Compare 96 and 67
  Swap 96 and 67
  List after swap: [48, -86, -72, -81, -24, 3, 9, 67, 96, 32]
  Compare 96 and 32
  Swap 96 and 32
  List after swap: [48, -86, -72, -81, -24, 3, 9, 67, 32, 96]

Pass 2:
  Compare 48 and -86
  Swap 48 and -86
  List after swap: [-86, 48, -72, -81, -24, 3, 9, 67, 32, 96]
  Compare 48 and -72
  Swap 48 and -72
  List after swap: [-86, -72, 48, -81, -24, 3, 9, 67, 32, 96]
  Compare 48 and -81
  Swap 48 and -81
  List after swap: [-86, -72, -81, 48, -24, 3, 9, 67, 32, 96]
  Compare 48 and -24
  Swap 48 and -24
  List after swap: [-86, -72, -81, -24, 48, 3, 9, 67, 32, 96]
  Compare 48 and 3
  Swap 48 and 3
  List after swap: [-86, -72, -81, -24, 3, 48, 9, 67, 32, 96]
  Compare 48 and 9
  Swap 48 and 9
  List after swap: [-86, -72, -81, -24, 3, 9, 48, 67, 32, 96]
  Compare 48 and 67
  No swap needed
  Compare 67 and 32
  Swap 67 and 32
  List after swap: [-86, -72, -81, -24, 3, 9, 48, 32, 67, 96]

Pass 3:
  Compare -86 and -72
  No swap needed
  Compare -72 and -81
  Swap -72 and -81
  List after swap: [-86, -81, -72, -24, 3, 9, 48, 32, 67, 96]
  Compare -72 and -24
  No swap needed
  Compare -24 and 3
  No swap needed
  Compare 3 and 9
  No swap needed
  Compare 9 and 48
  No swap needed
  Compare 48 and 32
  Swap 48 and 32
  List after swap: [-86, -81, -72, -24, 3, 9, 32, 48, 67, 96]

Pass 4:
  Compare -86 and -81
  No swap needed
  Compare -81 and -72
  No swap needed
  Compare -72 and -24
  No swap needed
  Compare -24 and 3
  No swap needed
  Compare 3 and 9
  No swap needed
  Compare 9 and 32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -81, -72, -24, 3, 9, 32, 48, 67, 96]
</think>

<response>-86, -81, -72, -24, 3, 9, 32, 48, 67, 96</response>


input: Demonstrate how bubble sort orders the integers 15, -9, 37, 43, -27, -15 in ascending sequence, showing all steps.

output:
<think>
Initial list: [15, -9, 37, 43, -27, -15]

Pass 1:
  Compare 15 and -9
  Swap 15 and -9
  List after swap: [-9, 15, 37, 43, -27, -15]
  Compare 15 and 37
  No swap needed
  Compare 37 and 43
  No swap needed
  Compare 43 and -27
  Swap 43 and -27
  List after swap: [-9, 15, 37, -27, 43, -15]
  Compare 43 and -15
  Swap 43 and -15
  List after swap: [-9, 15, 37, -27, -15, 43]

Pass 2:
  Compare -9 and 15
  No swap needed
  Compare 15 and 37
  No swap needed
  Compare 37 and -27
  Swap 37 and -27
  List after swap: [-9, 15, -27, 37, -15, 43]
  Compare 37 and -15
  Swap 37 and -15
  List after swap: [-9, 15, -27, -15, 37, 43]

Pass 3:
  Compare -9 and 15
  No swap needed
  Compare 15 and -27
  Swap 15 and -27
  List after swap: [-9, -27, 15, -15, 37, 43]
  Compare 15 and -15
  Swap 15 and -15
  List after swap: [-9, -27, -15, 15, 37, 43]

Pass 4:
  Compare -9 and -27
  Swap -9 and -27
  List after swap: [-27, -9, -15, 15, 37, 43]
  Compare -9 and -15
  Swap -9 and -15
  List after swap: [-27, -15, -9, 15, 37, 43]

Pass 5:
  Compare -27 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-27, -15, -9, 15, 37, 43]
</think>

<response>-27, -15, -9, 15, 37, 43</response>


input: Implement bubble sort on 69, -29, 14, 41 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [69, -29, 14, 41]

Pass 1:
  Compare 69 and -29
  Swap 69 and -29
  List after swap: [-29, 69, 14, 41]
  Compare 69 and 14
  Swap 69 and 14
  List after swap: [-29, 14, 69, 41]
  Compare 69 and 41
  Swap 69 and 41
  List after swap: [-29, 14, 41, 69]

Pass 2:
  Compare -29 and 14
  No swap needed
  Compare 14 and 41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-29, 14, 41, 69]
</think>

<response>-29, 14, 41, 69</response>


input: Use the bubble sort technique to reorder 5, -22, 49, -5, 77, 85, -96, 1, 17, -7 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [5, -22, 49, -5, 77, 85, -96, 1, 17, -7]

Pass 1:
  Compare 5 and -22
  Swap 5 and -22
  List after swap: [-22, 5, 49, -5, 77, 85, -96, 1, 17, -7]
  Compare 5 and 49
  No swap needed
  Compare 49 and -5
  Swap 49 and -5
  List after swap: [-22, 5, -5, 49, 77, 85, -96, 1, 17, -7]
  Compare 49 and 77
  No swap needed
  Compare 77 and 85
  No swap needed
  Compare 85 and -96
  Swap 85 and -96
  List after swap: [-22, 5, -5, 49, 77, -96, 85, 1, 17, -7]
  Compare 85 and 1
  Swap 85 and 1
  List after swap: [-22, 5, -5, 49, 77, -96, 1, 85, 17, -7]
  Compare 85 and 17
  Swap 85 and 17
  List after swap: [-22, 5, -5, 49, 77, -96, 1, 17, 85, -7]
  Compare 85 and -7
  Swap 85 and -7
  List after swap: [-22, 5, -5, 49, 77, -96, 1, 17, -7, 85]

Pass 2:
  Compare -22 and 5
  No swap needed
  Compare 5 and -5
  Swap 5 and -5
  List after swap: [-22, -5, 5, 49, 77, -96, 1, 17, -7, 85]
  Compare 5 and 49
  No swap needed
  Compare 49 and 77
  No swap needed
  Compare 77 and -96
  Swap 77 and -96
  List after swap: [-22, -5, 5, 49, -96, 77, 1, 17, -7, 85]
  Compare 77 and 1
  Swap 77 and 1
  List after swap: [-22, -5, 5, 49, -96, 1, 77, 17, -7, 85]
  Compare 77 and 17
  Swap 77 and 17
  List after swap: [-22, -5, 5, 49, -96, 1, 17, 77, -7, 85]
  Compare 77 and -7
  Swap 77 and -7
  List after swap: [-22, -5, 5, 49, -96, 1, 17, -7, 77, 85]

Pass 3:
  Compare -22 and -5
  No swap needed
  Compare -5 and 5
  No swap needed
  Compare 5 and 49
  No swap needed
  Compare 49 and -96
  Swap 49 and -96
  List after swap: [-22, -5, 5, -96, 49, 1, 17, -7, 77, 85]
  Compare 49 and 1
  Swap 49 and 1
  List after swap: [-22, -5, 5, -96, 1, 49, 17, -7, 77, 85]
  Compare 49 and 17
  Swap 49 and 17
  List after swap: [-22, -5, 5, -96, 1, 17, 49, -7, 77, 85]
  Compare 49 and -7
  Swap 49 and -7
  List after swap: [-22, -5, 5, -96, 1, 17, -7, 49, 77, 85]

Pass 4:
  Compare -22 and -5
  No swap needed
  Compare -5 and 5
  No swap needed
  Compare 5 and -96
  Swap 5 and -96
  List after swap: [-22, -5, -96, 5, 1, 17, -7, 49, 77, 85]
  Compare 5 and 1
  Swap 5 and 1
  List after swap: [-22, -5, -96, 1, 5, 17, -7, 49, 77, 85]
  Compare 5 and 17
  No swap needed
  Compare 17 and -7
  Swap 17 and -7
  List after swap: [-22, -5, -96, 1, 5, -7, 17, 49, 77, 85]

Pass 5:
  Compare -22 and -5
  No swap needed
  Compare -5 and -96
  Swap -5 and -96
  List after swap: [-22, -96, -5, 1, 5, -7, 17, 49, 77, 85]
  Compare -5 and 1
  No swap needed
  Compare 1 and 5
  No swap needed
  Compare 5 and -7
  Swap 5 and -7
  List after swap: [-22, -96, -5, 1, -7, 5, 17, 49, 77, 85]

Pass 6:
  Compare -22 and -96
  Swap -22 and -96
  List after swap: [-96, -22, -5, 1, -7, 5, 17, 49, 77, 85]
  Compare -22 and -5
  No swap needed
  Compare -5 and 1
  No swap needed
  Compare 1 and -7
  Swap 1 and -7
  List after swap: [-96, -22, -5, -7, 1, 5, 17, 49, 77, 85]

Pass 7:
  Compare -96 and -22
  No swap needed
  Compare -22 and -5
  No swap needed
  Compare -5 and -7
  Swap -5 and -7
  List after swap: [-96, -22, -7, -5, 1, 5, 17, 49, 77, 85]

Pass 8:
  Compare -96 and -22
  No swap needed
  Compare -22 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -22, -7, -5, 1, 5, 17, 49, 77, 85]
</think>

<response>-96, -22, -7, -5, 1, 5, 17, 49, 77, 85</response>


input: Sort the list -35, 75, -28, -49, 16, -69, -62, -12 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-35, 75, -28, -49, 16, -69, -62, -12]

Pass 1:
  Compare -35 and 75
  No swap needed
  Compare 75 and -28
  Swap 75 and -28
  List after swap: [-35, -28, 75, -49, 16, -69, -62, -12]
  Compare 75 and -49
  Swap 75 and -49
  List after swap: [-35, -28, -49, 75, 16, -69, -62, -12]
  Compare 75 and 16
  Swap 75 and 16
  List after swap: [-35, -28, -49, 16, 75, -69, -62, -12]
  Compare 75 and -69
  Swap 75 and -69
  List after swap: [-35, -28, -49, 16, -69, 75, -62, -12]
  Compare 75 and -62
  Swap 75 and -62
  List after swap: [-35, -28, -49, 16, -69, -62, 75, -12]
  Compare 75 and -12
  Swap 75 and -12
  List after swap: [-35, -28, -49, 16, -69, -62, -12, 75]

Pass 2:
  Compare -35 and -28
  No swap needed
  Compare -28 and -49
  Swap -28 and -49
  List after swap: [-35, -49, -28, 16, -69, -62, -12, 75]
  Compare -28 and 16
  No swap needed
  Compare 16 and -69
  Swap 16 and -69
  List after swap: [-35, -49, -28, -69, 16, -62, -12, 75]
  Compare 16 and -62
  Swap 16 and -62
  List after swap: [-35, -49, -28, -69, -62, 16, -12, 75]
  Compare 16 and -12
  Swap 16 and -12
  List after swap: [-35, -49, -28, -69, -62, -12, 16, 75]

Pass 3:
  Compare -35 and -49
  Swap -35 and -49
  List after swap: [-49, -35, -28, -69, -62, -12, 16, 75]
  Compare -35 and -28
  No swap needed
  Compare -28 and -69
  Swap -28 and -69
  List after swap: [-49, -35, -69, -28, -62, -12, 16, 75]
  Compare -28 and -62
  Swap -28 and -62
  List after swap: [-49, -35, -69, -62, -28, -12, 16, 75]
  Compare -28 and -12
  No swap needed

Pass 4:
  Compare -49 and -35
  No swap needed
  Compare -35 and -69
  Swap -35 and -69
  List after swap: [-49, -69, -35, -62, -28, -12, 16, 75]
  Compare -35 and -62
  Swap -35 and -62
  List after swap: [-49, -69, -62, -35, -28, -12, 16, 75]
  Compare -35 and -28
  No swap needed

Pass 5:
  Compare -49 and -69
  Swap -49 and -69
  List after swap: [-69, -49, -62, -35, -28, -12, 16, 75]
  Compare -49 and -62
  Swap -49 and -62
  List after swap: [-69, -62, -49, -35, -28, -12, 16, 75]
  Compare -49 and -35
  No swap needed

Pass 6:
  Compare -69 and -62
  No swap needed
  Compare -62 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -62, -49, -35, -28, -12, 16, 75]
</think>

<response>-69, -62, -49, -35, -28, -12, 16, 75</response>


input: Using the bubble sort method, sort 87, 51, -57, 77, -76, 43, 86, 65, 6, 76 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [87, 51, -57, 77, -76, 43, 86, 65, 6, 76]

Pass 1:
  Compare 87 and 51
  Swap 87 and 51
  List after swap: [51, 87, -57, 77, -76, 43, 86, 65, 6, 76]
  Compare 87 and -57
  Swap 87 and -57
  List after swap: [51, -57, 87, 77, -76, 43, 86, 65, 6, 76]
  Compare 87 and 77
  Swap 87 and 77
  List after swap: [51, -57, 77, 87, -76, 43, 86, 65, 6, 76]
  Compare 87 and -76
  Swap 87 and -76
  List after swap: [51, -57, 77, -76, 87, 43, 86, 65, 6, 76]
  Compare 87 and 43
  Swap 87 and 43
  List after swap: [51, -57, 77, -76, 43, 87, 86, 65, 6, 76]
  Compare 87 and 86
  Swap 87 and 86
  List after swap: [51, -57, 77, -76, 43, 86, 87, 65, 6, 76]
  Compare 87 and 65
  Swap 87 and 65
  List after swap: [51, -57, 77, -76, 43, 86, 65, 87, 6, 76]
  Compare 87 and 6
  Swap 87 and 6
  List after swap: [51, -57, 77, -76, 43, 86, 65, 6, 87, 76]
  Compare 87 and 76
  Swap 87 and 76
  List after swap: [51, -57, 77, -76, 43, 86, 65, 6, 76, 87]

Pass 2:
  Compare 51 and -57
  Swap 51 and -57
  List after swap: [-57, 51, 77, -76, 43, 86, 65, 6, 76, 87]
  Compare 51 and 77
  No swap needed
  Compare 77 and -76
  Swap 77 and -76
  List after swap: [-57, 51, -76, 77, 43, 86, 65, 6, 76, 87]
  Compare 77 and 43
  Swap 77 and 43
  List after swap: [-57, 51, -76, 43, 77, 86, 65, 6, 76, 87]
  Compare 77 and 86
  No swap needed
  Compare 86 and 65
  Swap 86 and 65
  List after swap: [-57, 51, -76, 43, 77, 65, 86, 6, 76, 87]
  Compare 86 and 6
  Swap 86 and 6
  List after swap: [-57, 51, -76, 43, 77, 65, 6, 86, 76, 87]
  Compare 86 and 76
  Swap 86 and 76
  List after swap: [-57, 51, -76, 43, 77, 65, 6, 76, 86, 87]

Pass 3:
  Compare -57 and 51
  No swap needed
  Compare 51 and -76
  Swap 51 and -76
  List after swap: [-57, -76, 51, 43, 77, 65, 6, 76, 86, 87]
  Compare 51 and 43
  Swap 51 and 43
  List after swap: [-57, -76, 43, 51, 77, 65, 6, 76, 86, 87]
  Compare 51 and 77
  No swap needed
  Compare 77 and 65
  Swap 77 and 65
  List after swap: [-57, -76, 43, 51, 65, 77, 6, 76, 86, 87]
  Compare 77 and 6
  Swap 77 and 6
  List after swap: [-57, -76, 43, 51, 65, 6, 77, 76, 86, 87]
  Compare 77 and 76
  Swap 77 and 76
  List after swap: [-57, -76, 43, 51, 65, 6, 76, 77, 86, 87]

Pass 4:
  Compare -57 and -76
  Swap -57 and -76
  List after swap: [-76, -57, 43, 51, 65, 6, 76, 77, 86, 87]
  Compare -57 and 43
  No swap needed
  Compare 43 and 51
  No swap needed
  Compare 51 and 65
  No swap needed
  Compare 65 and 6
  Swap 65 and 6
  List after swap: [-76, -57, 43, 51, 6, 65, 76, 77, 86, 87]
  Compare 65 and 76
  No swap needed

Pass 5:
  Compare -76 and -57
  No swap needed
  Compare -57 and 43
  No swap needed
  Compare 43 and 51
  No swap needed
  Compare 51 and 6
  Swap 51 and 6
  List after swap: [-76, -57, 43, 6, 51, 65, 76, 77, 86, 87]
  Compare 51 and 65
  No swap needed

Pass 6:
  Compare -76 and -57
  No swap needed
  Compare -57 and 43
  No swap needed
  Compare 43 and 6
  Swap 43 and 6
  List after swap: [-76, -57, 6, 43, 51, 65, 76, 77, 86, 87]
  Compare 43 and 51
  No swap needed

Pass 7:
  Compare -76 and -57
  No swap needed
  Compare -57 and 6
  No swap needed
  Compare 6 and 43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -57, 6, 43, 51, 65, 76, 77, 86, 87]
</think>

<response>-76, -57, 6, 43, 51, 65, 76, 77, 86, 87</response>


input: Demonstrate how bubble sort orders the integers 42, -50, -18, -77 in ascending sequence, showing all steps.

output:
<think>
Initial list: [42, -50, -18, -77]

Pass 1:
  Compare 42 and -50
  Swap 42 and -50
  List after swap: [-50, 42, -18, -77]
  Compare 42 and -18
  Swap 42 and -18
  List after swap: [-50, -18, 42, -77]
  Compare 42 and -77
  Swap 42 and -77
  List after swap: [-50, -18, -77, 42]

Pass 2:
  Compare -50 and -18
  No swap needed
  Compare -18 and -77
  Swap -18 and -77
  List after swap: [-50, -77, -18, 42]

Pass 3:
  Compare -50 and -77
  Swap -50 and -77
  List after swap: [-77, -50, -18, 42]

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

Final sorted list: [-77, -50, -18, 42]
</think>

<response>-77, -50, -18, 42</response>


input: Using the bubble sort method, sort 88, 14, 87, 67, -19, -54, 54, 76, 85 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [88, 14, 87, 67, -19, -54, 54, 76, 85]

Pass 1:
  Compare 88 and 14
  Swap 88 and 14
  List after swap: [14, 88, 87, 67, -19, -54, 54, 76, 85]
  Compare 88 and 87
  Swap 88 and 87
  List after swap: [14, 87, 88, 67, -19, -54, 54, 76, 85]
  Compare 88 and 67
  Swap 88 and 67
  List after swap: [14, 87, 67, 88, -19, -54, 54, 76, 85]
  Compare 88 and -19
  Swap 88 and -19
  List after swap: [14, 87, 67, -19, 88, -54, 54, 76, 85]
  Compare 88 and -54
  Swap 88 and -54
  List after swap: [14, 87, 67, -19, -54, 88, 54, 76, 85]
  Compare 88 and 54
  Swap 88 and 54
  List after swap: [14, 87, 67, -19, -54, 54, 88, 76, 85]
  Compare 88 and 76
  Swap 88 and 76
  List after swap: [14, 87, 67, -19, -54, 54, 76, 88, 85]
  Compare 88 and 85
  Swap 88 and 85
  List after swap: [14, 87, 67, -19, -54, 54, 76, 85, 88]

Pass 2:
  Compare 14 and 87
  No swap needed
  Compare 87 and 67
  Swap 87 and 67
  List after swap: [14, 67, 87, -19, -54, 54, 76, 85, 88]
  Compare 87 and -19
  Swap 87 and -19
  List after swap: [14, 67, -19, 87, -54, 54, 76, 85, 88]
  Compare 87 and -54
  Swap 87 and -54
  List after swap: [14, 67, -19, -54, 87, 54, 76, 85, 88]
  Compare 87 and 54
  Swap 87 and 54
  List after swap: [14, 67, -19, -54, 54, 87, 76, 85, 88]
  Compare 87 and 76
  Swap 87 and 76
  List after swap: [14, 67, -19, -54, 54, 76, 87, 85, 88]
  Compare 87 and 85
  Swap 87 and 85
  List after swap: [14, 67, -19, -54, 54, 76, 85, 87, 88]

Pass 3:
  Compare 14 and 67
  No swap needed
  Compare 67 and -19
  Swap 67 and -19
  List after swap: [14, -19, 67, -54, 54, 76, 85, 87, 88]
  Compare 67 and -54
  Swap 67 and -54
  List after swap: [14, -19, -54, 67, 54, 76, 85, 87, 88]
  Compare 67 and 54
  Swap 67 and 54
  List after swap: [14, -19, -54, 54, 67, 76, 85, 87, 88]
  Compare 67 and 76
  No swap needed
  Compare 76 and 85
  No swap needed

Pass 4:
  Compare 14 and -19
  Swap 14 and -19
  List after swap: [-19, 14, -54, 54, 67, 76, 85, 87, 88]
  Compare 14 and -54
  Swap 14 and -54
  List after swap: [-19, -54, 14, 54, 67, 76, 85, 87, 88]
  Compare 14 and 54
  No swap needed
  Compare 54 and 67
  No swap needed
  Compare 67 and 76
  No swap needed

Pass 5:
  Compare -19 and -54
  Swap -19 and -54
  List after swap: [-54, -19, 14, 54, 67, 76, 85, 87, 88]
  Compare -19 and 14
  No swap needed
  Compare 14 and 54
  No swap needed
  Compare 54 and 67
  No swap needed

Pass 6:
  Compare -54 and -19
  No swap needed
  Compare -19 and 14
  No swap needed
  Compare 14 and 54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-54, -19, 14, 54, 67, 76, 85, 87, 88]
</think>

<response>-54, -19, 14, 54, 67, 76, 85, 87, 88</response>


input: Sort these integers -7, -64, -86, -24, 11, 95, -92, -33, 17, 36 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-7, -64, -86, -24, 11, 95, -92, -33, 17, 36]

Pass 1:
  Compare -7 and -64
  Swap -7 and -64
  List after swap: [-64, -7, -86, -24, 11, 95, -92, -33, 17, 36]
  Compare -7 and -86
  Swap -7 and -86
  List after swap: [-64, -86, -7, -24, 11, 95, -92, -33, 17, 36]
  Compare -7 and -24
  Swap -7 and -24
  List after swap: [-64, -86, -24, -7, 11, 95, -92, -33, 17, 36]
  Compare -7 and 11
  No swap needed
  Compare 11 and 95
  No swap needed
  Compare 95 and -92
  Swap 95 and -92
  List after swap: [-64, -86, -24, -7, 11, -92, 95, -33, 17, 36]
  Compare 95 and -33
  Swap 95 and -33
  List after swap: [-64, -86, -24, -7, 11, -92, -33, 95, 17, 36]
  Compare 95 and 17
  Swap 95 and 17
  List after swap: [-64, -86, -24, -7, 11, -92, -33, 17, 95, 36]
  Compare 95 and 36
  Swap 95 and 36
  List after swap: [-64, -86, -24, -7, 11, -92, -33, 17, 36, 95]

Pass 2:
  Compare -64 and -86
  Swap -64 and -86
  List after swap: [-86, -64, -24, -7, 11, -92, -33, 17, 36, 95]
  Compare -64 and -24
  No swap needed
  Compare -24 and -7
  No swap needed
  Compare -7 and 11
  No swap needed
  Compare 11 and -92
  Swap 11 and -92
  List after swap: [-86, -64, -24, -7, -92, 11, -33, 17, 36, 95]
  Compare 11 and -33
  Swap 11 and -33
  List after swap: [-86, -64, -24, -7, -92, -33, 11, 17, 36, 95]
  Compare 11 and 17
  No swap needed
  Compare 17 and 36
  No swap needed

Pass 3:
  Compare -86 and -64
  No swap needed
  Compare -64 and -24
  No swap needed
  Compare -24 and -7
  No swap needed
  Compare -7 and -92
  Swap -7 and -92
  List after swap: [-86, -64, -24, -92, -7, -33, 11, 17, 36, 95]
  Compare -7 and -33
  Swap -7 and -33
  List after swap: [-86, -64, -24, -92, -33, -7, 11, 17, 36, 95]
  Compare -7 and 11
  No swap needed
  Compare 11 and 17
  No swap needed

Pass 4:
  Compare -86 and -64
  No swap needed
  Compare -64 and -24
  No swap needed
  Compare -24 and -92
  Swap -24 and -92
  List after swap: [-86, -64, -92, -24, -33, -7, 11, 17, 36, 95]
  Compare -24 and -33
  Swap -24 and -33
  List after swap: [-86, -64, -92, -33, -24, -7, 11, 17, 36, 95]
  Compare -24 and -7
  No swap needed
  Compare -7 and 11
  No swap needed

Pass 5:
  Compare -86 and -64
  No swap needed
  Compare -64 and -92
  Swap -64 and -92
  List after swap: [-86, -92, -64, -33, -24, -7, 11, 17, 36, 95]
  Compare -64 and -33
  No swap needed
  Compare -33 and -24
  No swap needed
  Compare -24 and -7
  No swap needed

Pass 6:
  Compare -86 and -92
  Swap -86 and -92
  List after swap: [-92, -86, -64, -33, -24, -7, 11, 17, 36, 95]
  Compare -86 and -64
  No swap needed
  Compare -64 and -33
  No swap needed
  Compare -33 and -24
  No swap needed

Pass 7:
  Compare -92 and -86
  No swap needed
  Compare -86 and -64
  No swap needed
  Compare -64 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -86, -64, -33, -24, -7, 11, 17, 36, 95]
</think>

<response>-92, -86, -64, -33, -24, -7, 11, 17, 36, 95</response>


input: Sort the list -47, 1, -43, -96, 4, 43, 48, 76, 18 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-47, 1, -43, -96, 4, 43, 48, 76, 18]

Pass 1:
  Compare -47 and 1
  No swap needed
  Compare 1 and -43
  Swap 1 and -43
  List after swap: [-47, -43, 1, -96, 4, 43, 48, 76, 18]
  Compare 1 and -96
  Swap 1 and -96
  List after swap: [-47, -43, -96, 1, 4, 43, 48, 76, 18]
  Compare 1 and 4
  No swap needed
  Compare 4 and 43
  No swap needed
  Compare 43 and 48
  No swap needed
  Compare 48 and 76
  No swap needed
  Compare 76 and 18
  Swap 76 and 18
  List after swap: [-47, -43, -96, 1, 4, 43, 48, 18, 76]

Pass 2:
  Compare -47 and -43
  No swap needed
  Compare -43 and -96
  Swap -43 and -96
  List after swap: [-47, -96, -43, 1, 4, 43, 48, 18, 76]
  Compare -43 and 1
  No swap needed
  Compare 1 and 4
  No swap needed
  Compare 4 and 43
  No swap needed
  Compare 43 and 48
  No swap needed
  Compare 48 and 18
  Swap 48 and 18
  List after swap: [-47, -96, -43, 1, 4, 43, 18, 48, 76]

Pass 3:
  Compare -47 and -96
  Swap -47 and -96
  List after swap: [-96, -47, -43, 1, 4, 43, 18, 48, 76]
  Compare -47 and -43
  No swap needed
  Compare -43 and 1
  No swap needed
  Compare 1 and 4
  No swap needed
  Compare 4 and 43
  No swap needed
  Compare 43 and 18
  Swap 43 and 18
  List after swap: [-96, -47, -43, 1, 4, 18, 43, 48, 76]

Pass 4:
  Compare -96 and -47
  No swap needed
  Compare -47 and -43
  No swap needed
  Compare -43 and 1
  No swap needed
  Compare 1 and 4
  No swap needed
  Compare 4 and 18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -47, -43, 1, 4, 18, 43, 48, 76]
</think>

<response>-96, -47, -43, 1, 4, 18, 43, 48, 76</response>


input: Carry out the bubble sort algorithm on -7, -93, 89, 62, 33, 53, 4, 37 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-7, -93, 89, 62, 33, 53, 4, 37]

Pass 1:
  Compare -7 and -93
  Swap -7 and -93
  List after swap: [-93, -7, 89, 62, 33, 53, 4, 37]
  Compare -7 and 89
  No swap needed
  Compare 89 and 62
  Swap 89 and 62
  List after swap: [-93, -7, 62, 89, 33, 53, 4, 37]
  Compare 89 and 33
  Swap 89 and 33
  List after swap: [-93, -7, 62, 33, 89, 53, 4, 37]
  Compare 89 and 53
  Swap 89 and 53
  List after swap: [-93, -7, 62, 33, 53, 89, 4, 37]
  Compare 89 and 4
  Swap 89 and 4
  List after swap: [-93, -7, 62, 33, 53, 4, 89, 37]
  Compare 89 and 37
  Swap 89 and 37
  List after swap: [-93, -7, 62, 33, 53, 4, 37, 89]

Pass 2:
  Compare -93 and -7
  No swap needed
  Compare -7 and 62
  No swap needed
  Compare 62 and 33
  Swap 62 and 33
  List after swap: [-93, -7, 33, 62, 53, 4, 37, 89]
  Compare 62 and 53
  Swap 62 and 53
  List after swap: [-93, -7, 33, 53, 62, 4, 37, 89]
  Compare 62 and 4
  Swap 62 and 4
  List after swap: [-93, -7, 33, 53, 4, 62, 37, 89]
  Compare 62 and 37
  Swap 62 and 37
  List after swap: [-93, -7, 33, 53, 4, 37, 62, 89]

Pass 3:
  Compare -93 and -7
  No swap needed
  Compare -7 and 33
  No swap needed
  Compare 33 and 53
  No swap needed
  Compare 53 and 4
  Swap 53 and 4
  List after swap: [-93, -7, 33, 4, 53, 37, 62, 89]
  Compare 53 and 37
  Swap 53 and 37
  List after swap: [-93, -7, 33, 4, 37, 53, 62, 89]

Pass 4:
  Compare -93 and -7
  No swap needed
  Compare -7 and 33
  No swap needed
  Compare 33 and 4
  Swap 33 and 4
  List after swap: [-93, -7, 4, 33, 37, 53, 62, 89]
  Compare 33 and 37
  No swap needed

Pass 5:
  Compare -93 and -7
  No swap needed
  Compare -7 and 4
  No swap needed
  Compare 4 and 33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -7, 4, 33, 37, 53, 62, 89]
</think>

<response>-93, -7, 4, 33, 37, 53, 62, 89</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 69, -84, 16, 48, -69, -60, -68, -47, 96, -78.

output:
<think>
Initial list: [69, -84, 16, 48, -69, -60, -68, -47, 96, -78]

Pass 1:
  Compare 69 and -84
  Swap 69 and -84
  List after swap: [-84, 69, 16, 48, -69, -60, -68, -47, 96, -78]
  Compare 69 and 16
  Swap 69 and 16
  List after swap: [-84, 16, 69, 48, -69, -60, -68, -47, 96, -78]
  Compare 69 and 48
  Swap 69 and 48
  List after swap: [-84, 16, 48, 69, -69, -60, -68, -47, 96, -78]
  Compare 69 and -69
  Swap 69 and -69
  List after swap: [-84, 16, 48, -69, 69, -60, -68, -47, 96, -78]
  Compare 69 and -60
  Swap 69 and -60
  List after swap: [-84, 16, 48, -69, -60, 69, -68, -47, 96, -78]
  Compare 69 and -68
  Swap 69 and -68
  List after swap: [-84, 16, 48, -69, -60, -68, 69, -47, 96, -78]
  Compare 69 and -47
  Swap 69 and -47
  List after swap: [-84, 16, 48, -69, -60, -68, -47, 69, 96, -78]
  Compare 69 and 96
  No swap needed
  Compare 96 and -78
  Swap 96 and -78
  List after swap: [-84, 16, 48, -69, -60, -68, -47, 69, -78, 96]

Pass 2:
  Compare -84 and 16
  No swap needed
  Compare 16 and 48
  No swap needed
  Compare 48 and -69
  Swap 48 and -69
  List after swap: [-84, 16, -69, 48, -60, -68, -47, 69, -78, 96]
  Compare 48 and -60
  Swap 48 and -60
  List after swap: [-84, 16, -69, -60, 48, -68, -47, 69, -78, 96]
  Compare 48 and -68
  Swap 48 and -68
  List after swap: [-84, 16, -69, -60, -68, 48, -47, 69, -78, 96]
  Compare 48 and -47
  Swap 48 and -47
  List after swap: [-84, 16, -69, -60, -68, -47, 48, 69, -78, 96]
  Compare 48 and 69
  No swap needed
  Compare 69 and -78
  Swap 69 and -78
  List after swap: [-84, 16, -69, -60, -68, -47, 48, -78, 69, 96]

Pass 3:
  Compare -84 and 16
  No swap needed
  Compare 16 and -69
  Swap 16 and -69
  List after swap: [-84, -69, 16, -60, -68, -47, 48, -78, 69, 96]
  Compare 16 and -60
  Swap 16 and -60
  List after swap: [-84, -69, -60, 16, -68, -47, 48, -78, 69, 96]
  Compare 16 and -68
  Swap 16 and -68
  List after swap: [-84, -69, -60, -68, 16, -47, 48, -78, 69, 96]
  Compare 16 and -47
  Swap 16 and -47
  List after swap: [-84, -69, -60, -68, -47, 16, 48, -78, 69, 96]
  Compare 16 and 48
  No swap needed
  Compare 48 and -78
  Swap 48 and -78
  List after swap: [-84, -69, -60, -68, -47, 16, -78, 48, 69, 96]

Pass 4:
  Compare -84 and -69
  No swap needed
  Compare -69 and -60
  No swap needed
  Compare -60 and -68
  Swap -60 and -68
  List after swap: [-84, -69, -68, -60, -47, 16, -78, 48, 69, 96]
  Compare -60 and -47
  No swap needed
  Compare -47 and 16
  No swap needed
  Compare 16 and -78
  Swap 16 and -78
  List after swap: [-84, -69, -68, -60, -47, -78, 16, 48, 69, 96]

Pass 5:
  Compare -84 and -69
  No swap needed
  Compare -69 and -68
  No swap needed
  Compare -68 and -60
  No swap needed
  Compare -60 and -47
  No swap needed
  Compare -47 and -78
  Swap -47 and -78
  List after swap: [-84, -69, -68, -60, -78, -47, 16, 48, 69, 96]

Pass 6:
  Compare -84 and -69
  No swap needed
  Compare -69 and -68
  No swap needed
  Compare -68 and -60
  No swap needed
  Compare -60 and -78
  Swap -60 and -78
  List after swap: [-84, -69, -68, -78, -60, -47, 16, 48, 69, 96]

Pass 7:
  Compare -84 and -69
  No swap needed
  Compare -69 and -68
  No swap needed
  Compare -68 and -78
  Swap -68 and -78
  List after swap: [-84, -69, -78, -68, -60, -47, 16, 48, 69, 96]

Pass 8:
  Compare -84 and -69
  No swap needed
  Compare -69 and -78
  Swap -69 and -78
  List after swap: [-84, -78, -69, -68, -60, -47, 16, 48, 69, 96]

Pass 9:
  Compare -84 and -78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -78, -69, -68, -60, -47, 16, 48, 69, 96]
</think>

<response>-84, -78, -69, -68, -60, -47, 16, 48, 69, 96</response>


input: Arrange the numbers -24, 85, -74, 93, 98 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-24, 85, -74, 93, 98]

Pass 1:
  Compare -24 and 85
  No swap needed
  Compare 85 and -74
  Swap 85 and -74
  List after swap: [-24, -74, 85, 93, 98]
  Compare 85 and 93
  No swap needed
  Compare 93 and 98
  No swap needed

Pass 2:
  Compare -24 and -74
  Swap -24 and -74
  List after swap: [-74, -24, 85, 93, 98]
  Compare -24 and 85
  No swap needed
  Compare 85 and 93
  No swap needed

Pass 3:
  Compare -74 and -24
  No swap needed
  Compare -24 and 85
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -24, 85, 93, 98]
</think>

<response>-74, -24, 85, 93, 98</response>


input: Execute bubble sort to sort 7, -71, 89, -20 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [7, -71, 89, -20]

Pass 1:
  Compare 7 and -71
  Swap 7 and -71
  List after swap: [-71, 7, 89, -20]
  Compare 7 and 89
  No swap needed
  Compare 89 and -20
  Swap 89 and -20
  List after swap: [-71, 7, -20, 89]

Pass 2:
  Compare -71 and 7
  No swap needed
  Compare 7 and -20
  Swap 7 and -20
  List after swap: [-71, -20, 7, 89]

Pass 3:
  Compare -71 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -20, 7, 89]
</think>

<response>-71, -20, 7, 89</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 13, -36, 54, 89, -70, 5, 4, 24, -71.

output:
<think>
Initial list: [13, -36, 54, 89, -70, 5, 4, 24, -71]

Pass 1:
  Compare 13 and -36
  Swap 13 and -36
  List after swap: [-36, 13, 54, 89, -70, 5, 4, 24, -71]
  Compare 13 and 54
  No swap needed
  Compare 54 and 89
  No swap needed
  Compare 89 and -70
  Swap 89 and -70
  List after swap: [-36, 13, 54, -70, 89, 5, 4, 24, -71]
  Compare 89 and 5
  Swap 89 and 5
  List after swap: [-36, 13, 54, -70, 5, 89, 4, 24, -71]
  Compare 89 and 4
  Swap 89 and 4
  List after swap: [-36, 13, 54, -70, 5, 4, 89, 24, -71]
  Compare 89 and 24
  Swap 89 and 24
  List after swap: [-36, 13, 54, -70, 5, 4, 24, 89, -71]
  Compare 89 and -71
  Swap 89 and -71
  List after swap: [-36, 13, 54, -70, 5, 4, 24, -71, 89]

Pass 2:
  Compare -36 and 13
  No swap needed
  Compare 13 and 54
  No swap needed
  Compare 54 and -70
  Swap 54 and -70
  List after swap: [-36, 13, -70, 54, 5, 4, 24, -71, 89]
  Compare 54 and 5
  Swap 54 and 5
  List after swap: [-36, 13, -70, 5, 54, 4, 24, -71, 89]
  Compare 54 and 4
  Swap 54 and 4
  List after swap: [-36, 13, -70, 5, 4, 54, 24, -71, 89]
  Compare 54 and 24
  Swap 54 and 24
  List after swap: [-36, 13, -70, 5, 4, 24, 54, -71, 89]
  Compare 54 and -71
  Swap 54 and -71
  List after swap: [-36, 13, -70, 5, 4, 24, -71, 54, 89]

Pass 3:
  Compare -36 and 13
  No swap needed
  Compare 13 and -70
  Swap 13 and -70
  List after swap: [-36, -70, 13, 5, 4, 24, -71, 54, 89]
  Compare 13 and 5
  Swap 13 and 5
  List after swap: [-36, -70, 5, 13, 4, 24, -71, 54, 89]
  Compare 13 and 4
  Swap 13 and 4
  List after swap: [-36, -70, 5, 4, 13, 24, -71, 54, 89]
  Compare 13 and 24
  No swap needed
  Compare 24 and -71
  Swap 24 and -71
  List after swap: [-36, -70, 5, 4, 13, -71, 24, 54, 89]

Pass 4:
  Compare -36 and -70
  Swap -36 and -70
  List after swap: [-70, -36, 5, 4, 13, -71, 24, 54, 89]
  Compare -36 and 5
  No swap needed
  Compare 5 and 4
  Swap 5 and 4
  List after swap: [-70, -36, 4, 5, 13, -71, 24, 54, 89]
  Compare 5 and 13
  No swap needed
  Compare 13 and -71
  Swap 13 and -71
  List after swap: [-70, -36, 4, 5, -71, 13, 24, 54, 89]

Pass 5:
  Compare -70 and -36
  No swap needed
  Compare -36 and 4
  No swap needed
  Compare 4 and 5
  No swap needed
  Compare 5 and -71
  Swap 5 and -71
  List after swap: [-70, -36, 4, -71, 5, 13, 24, 54, 89]

Pass 6:
  Compare -70 and -36
  No swap needed
  Compare -36 and 4
  No swap needed
  Compare 4 and -71
  Swap 4 and -71
  List after swap: [-70, -36, -71, 4, 5, 13, 24, 54, 89]

Pass 7:
  Compare -70 and -36
  No swap needed
  Compare -36 and -71
  Swap -36 and -71
  List after swap: [-70, -71, -36, 4, 5, 13, 24, 54, 89]

Pass 8:
  Compare -70 and -71
  Swap -70 and -71
  List after swap: [-71, -70, -36, 4, 5, 13, 24, 54, 89]

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

Final sorted list: [-71, -70, -36, 4, 5, 13, 24, 54, 89]
</think>

<response>-71, -70, -36, 4, 5, 13, 24, 54, 89</response>


input: Using the bubble sort method, sort 45, 86, 13, 46, 8, -27, 39, 3, 85 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [45, 86, 13, 46, 8, -27, 39, 3, 85]

Pass 1:
  Compare 45 and 86
  No swap needed
  Compare 86 and 13
  Swap 86 and 13
  List after swap: [45, 13, 86, 46, 8, -27, 39, 3, 85]
  Compare 86 and 46
  Swap 86 and 46
  List after swap: [45, 13, 46, 86, 8, -27, 39, 3, 85]
  Compare 86 and 8
  Swap 86 and 8
  List after swap: [45, 13, 46, 8, 86, -27, 39, 3, 85]
  Compare 86 and -27
  Swap 86 and -27
  List after swap: [45, 13, 46, 8, -27, 86, 39, 3, 85]
  Compare 86 and 39
  Swap 86 and 39
  List after swap: [45, 13, 46, 8, -27, 39, 86, 3, 85]
  Compare 86 and 3
  Swap 86 and 3
  List after swap: [45, 13, 46, 8, -27, 39, 3, 86, 85]
  Compare 86 and 85
  Swap 86 and 85
  List after swap: [45, 13, 46, 8, -27, 39, 3, 85, 86]

Pass 2:
  Compare 45 and 13
  Swap 45 and 13
  List after swap: [13, 45, 46, 8, -27, 39, 3, 85, 86]
  Compare 45 and 46
  No swap needed
  Compare 46 and 8
  Swap 46 and 8
  List after swap: [13, 45, 8, 46, -27, 39, 3, 85, 86]
  Compare 46 and -27
  Swap 46 and -27
  List after swap: [13, 45, 8, -27, 46, 39, 3, 85, 86]
  Compare 46 and 39
  Swap 46 and 39
  List after swap: [13, 45, 8, -27, 39, 46, 3, 85, 86]
  Compare 46 and 3
  Swap 46 and 3
  List after swap: [13, 45, 8, -27, 39, 3, 46, 85, 86]
  Compare 46 and 85
  No swap needed

Pass 3:
  Compare 13 and 45
  No swap needed
  Compare 45 and 8
  Swap 45 and 8
  List after swap: [13, 8, 45, -27, 39, 3, 46, 85, 86]
  Compare 45 and -27
  Swap 45 and -27
  List after swap: [13, 8, -27, 45, 39, 3, 46, 85, 86]
  Compare 45 and 39
  Swap 45 and 39
  List after swap: [13, 8, -27, 39, 45, 3, 46, 85, 86]
  Compare 45 and 3
  Swap 45 and 3
  List after swap: [13, 8, -27, 39, 3, 45, 46, 85, 86]
  Compare 45 and 46
  No swap needed

Pass 4:
  Compare 13 and 8
  Swap 13 and 8
  List after swap: [8, 13, -27, 39, 3, 45, 46, 85, 86]
  Compare 13 and -27
  Swap 13 and -27
  List after swap: [8, -27, 13, 39, 3, 45, 46, 85, 86]
  Compare 13 and 39
  No swap needed
  Compare 39 and 3
  Swap 39 and 3
  List after swap: [8, -27, 13, 3, 39, 45, 46, 85, 86]
  Compare 39 and 45
  No swap needed

Pass 5:
  Compare 8 and -27
  Swap 8 and -27
  List after swap: [-27, 8, 13, 3, 39, 45, 46, 85, 86]
  Compare 8 and 13
  No swap needed
  Compare 13 and 3
  Swap 13 and 3
  List after swap: [-27, 8, 3, 13, 39, 45, 46, 85, 86]
  Compare 13 and 39
  No swap needed

Pass 6:
  Compare -27 and 8
  No swap needed
  Compare 8 and 3
  Swap 8 and 3
  List after swap: [-27, 3, 8, 13, 39, 45, 46, 85, 86]
  Compare 8 and 13
  No swap needed

Pass 7:
  Compare -27 and 3
  No swap needed
  Compare 3 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-27, 3, 8, 13, 39, 45, 46, 85, 86]
</think>

<response>-27, 3, 8, 13, 39, 45, 46, 85, 86</response>


input: Sort the list -99, -11, 89, 84, 95, 52, -86, -13, -79 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-99, -11, 89, 84, 95, 52, -86, -13, -79]

Pass 1:
  Compare -99 and -11
  No swap needed
  Compare -11 and 89
  No swap needed
  Compare 89 and 84
  Swap 89 and 84
  List after swap: [-99, -11, 84, 89, 95, 52, -86, -13, -79]
  Compare 89 and 95
  No swap needed
  Compare 95 and 52
  Swap 95 and 52
  List after swap: [-99, -11, 84, 89, 52, 95, -86, -13, -79]
  Compare 95 and -86
  Swap 95 and -86
  List after swap: [-99, -11, 84, 89, 52, -86, 95, -13, -79]
  Compare 95 and -13
  Swap 95 and -13
  List after swap: [-99, -11, 84, 89, 52, -86, -13, 95, -79]
  Compare 95 and -79
  Swap 95 and -79
  List after swap: [-99, -11, 84, 89, 52, -86, -13, -79, 95]

Pass 2:
  Compare -99 and -11
  No swap needed
  Compare -11 and 84
  No swap needed
  Compare 84 and 89
  No swap needed
  Compare 89 and 52
  Swap 89 and 52
  List after swap: [-99, -11, 84, 52, 89, -86, -13, -79, 95]
  Compare 89 and -86
  Swap 89 and -86
  List after swap: [-99, -11, 84, 52, -86, 89, -13, -79, 95]
  Compare 89 and -13
  Swap 89 and -13
  List after swap: [-99, -11, 84, 52, -86, -13, 89, -79, 95]
  Compare 89 and -79
  Swap 89 and -79
  List after swap: [-99, -11, 84, 52, -86, -13, -79, 89, 95]

Pass 3:
  Compare -99 and -11
  No swap needed
  Compare -11 and 84
  No swap needed
  Compare 84 and 52
  Swap 84 and 52
  List after swap: [-99, -11, 52, 84, -86, -13, -79, 89, 95]
  Compare 84 and -86
  Swap 84 and -86
  List after swap: [-99, -11, 52, -86, 84, -13, -79, 89, 95]
  Compare 84 and -13
  Swap 84 and -13
  List after swap: [-99, -11, 52, -86, -13, 84, -79, 89, 95]
  Compare 84 and -79
  Swap 84 and -79
  List after swap: [-99, -11, 52, -86, -13, -79, 84, 89, 95]

Pass 4:
  Compare -99 and -11
  No swap needed
  Compare -11 and 52
  No swap needed
  Compare 52 and -86
  Swap 52 and -86
  List after swap: [-99, -11, -86, 52, -13, -79, 84, 89, 95]
  Compare 52 and -13
  Swap 52 and -13
  List after swap: [-99, -11, -86, -13, 52, -79, 84, 89, 95]
  Compare 52 and -79
  Swap 52 and -79
  List after swap: [-99, -11, -86, -13, -79, 52, 84, 89, 95]

Pass 5:
  Compare -99 and -11
  No swap needed
  Compare -11 and -86
  Swap -11 and -86
  List after swap: [-99, -86, -11, -13, -79, 52, 84, 89, 95]
  Compare -11 and -13
  Swap -11 and -13
  List after swap: [-99, -86, -13, -11, -79, 52, 84, 89, 95]
  Compare -11 and -79
  Swap -11 and -79
  List after swap: [-99, -86, -13, -79, -11, 52, 84, 89, 95]

Pass 6:
  Compare -99 and -86
  No swap needed
  Compare -86 and -13
  No swap needed
  Compare -13 and -79
  Swap -13 and -79
  List after swap: [-99, -86, -79, -13, -11, 52, 84, 89, 95]

Pass 7:
  Compare -99 and -86
  No swap needed
  Compare -86 and -79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -86, -79, -13, -11, 52, 84, 89, 95]
</think>

<response>-99, -86, -79, -13, -11, 52, 84, 89, 95</response>


input: Execute bubble sort to sort -28, -76, 36 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-28, -76, 36]

Pass 1:
  Compare -28 and -76
  Swap -28 and -76
  List after swap: [-76, -28, 36]
  Compare -28 and 36
  No swap needed

Pass 2:
  Compare -76 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -28, 36]
</think>

<response>-76, -28, 36</response>