input: Arrange the numbers 55, 84, 69, 17, 32, 78, -13, -16, 89 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [55, 84, 69, 17, 32, 78, -13, -16, 89]

Pass 1:
  Compare 55 and 84
  No swap needed
  Compare 84 and 69
  Swap 84 and 69
  List after swap: [55, 69, 84, 17, 32, 78, -13, -16, 89]
  Compare 84 and 17
  Swap 84 and 17
  List after swap: [55, 69, 17, 84, 32, 78, -13, -16, 89]
  Compare 84 and 32
  Swap 84 and 32
  List after swap: [55, 69, 17, 32, 84, 78, -13, -16, 89]
  Compare 84 and 78
  Swap 84 and 78
  List after swap: [55, 69, 17, 32, 78, 84, -13, -16, 89]
  Compare 84 and -13
  Swap 84 and -13
  List after swap: [55, 69, 17, 32, 78, -13, 84, -16, 89]
  Compare 84 and -16
  Swap 84 and -16
  List after swap: [55, 69, 17, 32, 78, -13, -16, 84, 89]
  Compare 84 and 89
  No swap needed

Pass 2:
  Compare 55 and 69
  No swap needed
  Compare 69 and 17
  Swap 69 and 17
  List after swap: [55, 17, 69, 32, 78, -13, -16, 84, 89]
  Compare 69 and 32
  Swap 69 and 32
  List after swap: [55, 17, 32, 69, 78, -13, -16, 84, 89]
  Compare 69 and 78
  No swap needed
  Compare 78 and -13
  Swap 78 and -13
  List after swap: [55, 17, 32, 69, -13, 78, -16, 84, 89]
  Compare 78 and -16
  Swap 78 and -16
  List after swap: [55, 17, 32, 69, -13, -16, 78, 84, 89]
  Compare 78 and 84
  No swap needed

Pass 3:
  Compare 55 and 17
  Swap 55 and 17
  List after swap: [17, 55, 32, 69, -13, -16, 78, 84, 89]
  Compare 55 and 32
  Swap 55 and 32
  List after swap: [17, 32, 55, 69, -13, -16, 78, 84, 89]
  Compare 55 and 69
  No swap needed
  Compare 69 and -13
  Swap 69 and -13
  List after swap: [17, 32, 55, -13, 69, -16, 78, 84, 89]
  Compare 69 and -16
  Swap 69 and -16
  List after swap: [17, 32, 55, -13, -16, 69, 78, 84, 89]
  Compare 69 and 78
  No swap needed

Pass 4:
  Compare 17 and 32
  No swap needed
  Compare 32 and 55
  No swap needed
  Compare 55 and -13
  Swap 55 and -13
  List after swap: [17, 32, -13, 55, -16, 69, 78, 84, 89]
  Compare 55 and -16
  Swap 55 and -16
  List after swap: [17, 32, -13, -16, 55, 69, 78, 84, 89]
  Compare 55 and 69
  No swap needed

Pass 5:
  Compare 17 and 32
  No swap needed
  Compare 32 and -13
  Swap 32 and -13
  List after swap: [17, -13, 32, -16, 55, 69, 78, 84, 89]
  Compare 32 and -16
  Swap 32 and -16
  List after swap: [17, -13, -16, 32, 55, 69, 78, 84, 89]
  Compare 32 and 55
  No swap needed

Pass 6:
  Compare 17 and -13
  Swap 17 and -13
  List after swap: [-13, 17, -16, 32, 55, 69, 78, 84, 89]
  Compare 17 and -16
  Swap 17 and -16
  List after swap: [-13, -16, 17, 32, 55, 69, 78, 84, 89]
  Compare 17 and 32
  No swap needed

Pass 7:
  Compare -13 and -16
  Swap -13 and -16
  List after swap: [-16, -13, 17, 32, 55, 69, 78, 84, 89]
  Compare -13 and 17
  No swap needed

Pass 8:
  Compare -16 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-16, -13, 17, 32, 55, 69, 78, 84, 89]
</think>

<response>-16, -13, 17, 32, 55, 69, 78, 84, 89</response>


input: Execute bubble sort to sort 42, -27 in increasing order and detail each phase of the sorting process.

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

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

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

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

<response>-27, 42</response>


input: Sort the list -16, -27, -35, 24, -19, 96, -87, -84, 11 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-16, -27, -35, 24, -19, 96, -87, -84, 11]

Pass 1:
  Compare -16 and -27
  Swap -16 and -27
  List after swap: [-27, -16, -35, 24, -19, 96, -87, -84, 11]
  Compare -16 and -35
  Swap -16 and -35
  List after swap: [-27, -35, -16, 24, -19, 96, -87, -84, 11]
  Compare -16 and 24
  No swap needed
  Compare 24 and -19
  Swap 24 and -19
  List after swap: [-27, -35, -16, -19, 24, 96, -87, -84, 11]
  Compare 24 and 96
  No swap needed
  Compare 96 and -87
  Swap 96 and -87
  List after swap: [-27, -35, -16, -19, 24, -87, 96, -84, 11]
  Compare 96 and -84
  Swap 96 and -84
  List after swap: [-27, -35, -16, -19, 24, -87, -84, 96, 11]
  Compare 96 and 11
  Swap 96 and 11
  List after swap: [-27, -35, -16, -19, 24, -87, -84, 11, 96]

Pass 2:
  Compare -27 and -35
  Swap -27 and -35
  List after swap: [-35, -27, -16, -19, 24, -87, -84, 11, 96]
  Compare -27 and -16
  No swap needed
  Compare -16 and -19
  Swap -16 and -19
  List after swap: [-35, -27, -19, -16, 24, -87, -84, 11, 96]
  Compare -16 and 24
  No swap needed
  Compare 24 and -87
  Swap 24 and -87
  List after swap: [-35, -27, -19, -16, -87, 24, -84, 11, 96]
  Compare 24 and -84
  Swap 24 and -84
  List after swap: [-35, -27, -19, -16, -87, -84, 24, 11, 96]
  Compare 24 and 11
  Swap 24 and 11
  List after swap: [-35, -27, -19, -16, -87, -84, 11, 24, 96]

Pass 3:
  Compare -35 and -27
  No swap needed
  Compare -27 and -19
  No swap needed
  Compare -19 and -16
  No swap needed
  Compare -16 and -87
  Swap -16 and -87
  List after swap: [-35, -27, -19, -87, -16, -84, 11, 24, 96]
  Compare -16 and -84
  Swap -16 and -84
  List after swap: [-35, -27, -19, -87, -84, -16, 11, 24, 96]
  Compare -16 and 11
  No swap needed

Pass 4:
  Compare -35 and -27
  No swap needed
  Compare -27 and -19
  No swap needed
  Compare -19 and -87
  Swap -19 and -87
  List after swap: [-35, -27, -87, -19, -84, -16, 11, 24, 96]
  Compare -19 and -84
  Swap -19 and -84
  List after swap: [-35, -27, -87, -84, -19, -16, 11, 24, 96]
  Compare -19 and -16
  No swap needed

Pass 5:
  Compare -35 and -27
  No swap needed
  Compare -27 and -87
  Swap -27 and -87
  List after swap: [-35, -87, -27, -84, -19, -16, 11, 24, 96]
  Compare -27 and -84
  Swap -27 and -84
  List after swap: [-35, -87, -84, -27, -19, -16, 11, 24, 96]
  Compare -27 and -19
  No swap needed

Pass 6:
  Compare -35 and -87
  Swap -35 and -87
  List after swap: [-87, -35, -84, -27, -19, -16, 11, 24, 96]
  Compare -35 and -84
  Swap -35 and -84
  List after swap: [-87, -84, -35, -27, -19, -16, 11, 24, 96]
  Compare -35 and -27
  No swap needed

Pass 7:
  Compare -87 and -84
  No swap needed
  Compare -84 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -84, -35, -27, -19, -16, 11, 24, 96]
</think>

<response>-87, -84, -35, -27, -19, -16, 11, 24, 96</response>


input: Use the bubble sort technique to reorder 39, -63, 55, 15 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [39, -63, 55, 15]

Pass 1:
  Compare 39 and -63
  Swap 39 and -63
  List after swap: [-63, 39, 55, 15]
  Compare 39 and 55
  No swap needed
  Compare 55 and 15
  Swap 55 and 15
  List after swap: [-63, 39, 15, 55]

Pass 2:
  Compare -63 and 39
  No swap needed
  Compare 39 and 15
  Swap 39 and 15
  List after swap: [-63, 15, 39, 55]

Pass 3:
  Compare -63 and 15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, 15, 39, 55]
</think>

<response>-63, 15, 39, 55</response>


input: Implement bubble sort on 49, -50, 77 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [49, -50, 77]

Pass 1:
  Compare 49 and -50
  Swap 49 and -50
  List after swap: [-50, 49, 77]
  Compare 49 and 77
  No swap needed

Pass 2:
  Compare -50 and 49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, 49, 77]
</think>

<response>-50, 49, 77</response>


input: Using the bubble sort method, sort -32, 93, -75, 39, -5, 63, -35, 73, -97, -41 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-32, 93, -75, 39, -5, 63, -35, 73, -97, -41]

Pass 1:
  Compare -32 and 93
  No swap needed
  Compare 93 and -75
  Swap 93 and -75
  List after swap: [-32, -75, 93, 39, -5, 63, -35, 73, -97, -41]
  Compare 93 and 39
  Swap 93 and 39
  List after swap: [-32, -75, 39, 93, -5, 63, -35, 73, -97, -41]
  Compare 93 and -5
  Swap 93 and -5
  List after swap: [-32, -75, 39, -5, 93, 63, -35, 73, -97, -41]
  Compare 93 and 63
  Swap 93 and 63
  List after swap: [-32, -75, 39, -5, 63, 93, -35, 73, -97, -41]
  Compare 93 and -35
  Swap 93 and -35
  List after swap: [-32, -75, 39, -5, 63, -35, 93, 73, -97, -41]
  Compare 93 and 73
  Swap 93 and 73
  List after swap: [-32, -75, 39, -5, 63, -35, 73, 93, -97, -41]
  Compare 93 and -97
  Swap 93 and -97
  List after swap: [-32, -75, 39, -5, 63, -35, 73, -97, 93, -41]
  Compare 93 and -41
  Swap 93 and -41
  List after swap: [-32, -75, 39, -5, 63, -35, 73, -97, -41, 93]

Pass 2:
  Compare -32 and -75
  Swap -32 and -75
  List after swap: [-75, -32, 39, -5, 63, -35, 73, -97, -41, 93]
  Compare -32 and 39
  No swap needed
  Compare 39 and -5
  Swap 39 and -5
  List after swap: [-75, -32, -5, 39, 63, -35, 73, -97, -41, 93]
  Compare 39 and 63
  No swap needed
  Compare 63 and -35
  Swap 63 and -35
  List after swap: [-75, -32, -5, 39, -35, 63, 73, -97, -41, 93]
  Compare 63 and 73
  No swap needed
  Compare 73 and -97
  Swap 73 and -97
  List after swap: [-75, -32, -5, 39, -35, 63, -97, 73, -41, 93]
  Compare 73 and -41
  Swap 73 and -41
  List after swap: [-75, -32, -5, 39, -35, 63, -97, -41, 73, 93]

Pass 3:
  Compare -75 and -32
  No swap needed
  Compare -32 and -5
  No swap needed
  Compare -5 and 39
  No swap needed
  Compare 39 and -35
  Swap 39 and -35
  List after swap: [-75, -32, -5, -35, 39, 63, -97, -41, 73, 93]
  Compare 39 and 63
  No swap needed
  Compare 63 and -97
  Swap 63 and -97
  List after swap: [-75, -32, -5, -35, 39, -97, 63, -41, 73, 93]
  Compare 63 and -41
  Swap 63 and -41
  List after swap: [-75, -32, -5, -35, 39, -97, -41, 63, 73, 93]

Pass 4:
  Compare -75 and -32
  No swap needed
  Compare -32 and -5
  No swap needed
  Compare -5 and -35
  Swap -5 and -35
  List after swap: [-75, -32, -35, -5, 39, -97, -41, 63, 73, 93]
  Compare -5 and 39
  No swap needed
  Compare 39 and -97
  Swap 39 and -97
  List after swap: [-75, -32, -35, -5, -97, 39, -41, 63, 73, 93]
  Compare 39 and -41
  Swap 39 and -41
  List after swap: [-75, -32, -35, -5, -97, -41, 39, 63, 73, 93]

Pass 5:
  Compare -75 and -32
  No swap needed
  Compare -32 and -35
  Swap -32 and -35
  List after swap: [-75, -35, -32, -5, -97, -41, 39, 63, 73, 93]
  Compare -32 and -5
  No swap needed
  Compare -5 and -97
  Swap -5 and -97
  List after swap: [-75, -35, -32, -97, -5, -41, 39, 63, 73, 93]
  Compare -5 and -41
  Swap -5 and -41
  List after swap: [-75, -35, -32, -97, -41, -5, 39, 63, 73, 93]

Pass 6:
  Compare -75 and -35
  No swap needed
  Compare -35 and -32
  No swap needed
  Compare -32 and -97
  Swap -32 and -97
  List after swap: [-75, -35, -97, -32, -41, -5, 39, 63, 73, 93]
  Compare -32 and -41
  Swap -32 and -41
  List after swap: [-75, -35, -97, -41, -32, -5, 39, 63, 73, 93]

Pass 7:
  Compare -75 and -35
  No swap needed
  Compare -35 and -97
  Swap -35 and -97
  List after swap: [-75, -97, -35, -41, -32, -5, 39, 63, 73, 93]
  Compare -35 and -41
  Swap -35 and -41
  List after swap: [-75, -97, -41, -35, -32, -5, 39, 63, 73, 93]

Pass 8:
  Compare -75 and -97
  Swap -75 and -97
  List after swap: [-97, -75, -41, -35, -32, -5, 39, 63, 73, 93]
  Compare -75 and -41
  No swap needed

Pass 9:
  Compare -97 and -75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -75, -41, -35, -32, -5, 39, 63, 73, 93]
</think>

<response>-97, -75, -41, -35, -32, -5, 39, 63, 73, 93</response>


input: Demonstrate how bubble sort orders the integers -61, 92, 30, -15, -78, 69, 38 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-61, 92, 30, -15, -78, 69, 38]

Pass 1:
  Compare -61 and 92
  No swap needed
  Compare 92 and 30
  Swap 92 and 30
  List after swap: [-61, 30, 92, -15, -78, 69, 38]
  Compare 92 and -15
  Swap 92 and -15
  List after swap: [-61, 30, -15, 92, -78, 69, 38]
  Compare 92 and -78
  Swap 92 and -78
  List after swap: [-61, 30, -15, -78, 92, 69, 38]
  Compare 92 and 69
  Swap 92 and 69
  List after swap: [-61, 30, -15, -78, 69, 92, 38]
  Compare 92 and 38
  Swap 92 and 38
  List after swap: [-61, 30, -15, -78, 69, 38, 92]

Pass 2:
  Compare -61 and 30
  No swap needed
  Compare 30 and -15
  Swap 30 and -15
  List after swap: [-61, -15, 30, -78, 69, 38, 92]
  Compare 30 and -78
  Swap 30 and -78
  List after swap: [-61, -15, -78, 30, 69, 38, 92]
  Compare 30 and 69
  No swap needed
  Compare 69 and 38
  Swap 69 and 38
  List after swap: [-61, -15, -78, 30, 38, 69, 92]

Pass 3:
  Compare -61 and -15
  No swap needed
  Compare -15 and -78
  Swap -15 and -78
  List after swap: [-61, -78, -15, 30, 38, 69, 92]
  Compare -15 and 30
  No swap needed
  Compare 30 and 38
  No swap needed

Pass 4:
  Compare -61 and -78
  Swap -61 and -78
  List after swap: [-78, -61, -15, 30, 38, 69, 92]
  Compare -61 and -15
  No swap needed
  Compare -15 and 30
  No swap needed

Pass 5:
  Compare -78 and -61
  No swap needed
  Compare -61 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -61, -15, 30, 38, 69, 92]
</think>

<response>-78, -61, -15, 30, 38, 69, 92</response>


input: Carry out the bubble sort algorithm on 11, 21, 46 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [11, 21, 46]

Pass 1:
  Compare 11 and 21
  No swap needed
  Compare 21 and 46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [11, 21, 46]
</think>

<response>11, 21, 46</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 2, -49, -80, -73.

output:
<think>
Initial list: [2, -49, -80, -73]

Pass 1:
  Compare 2 and -49
  Swap 2 and -49
  List after swap: [-49, 2, -80, -73]
  Compare 2 and -80
  Swap 2 and -80
  List after swap: [-49, -80, 2, -73]
  Compare 2 and -73
  Swap 2 and -73
  List after swap: [-49, -80, -73, 2]

Pass 2:
  Compare -49 and -80
  Swap -49 and -80
  List after swap: [-80, -49, -73, 2]
  Compare -49 and -73
  Swap -49 and -73
  List after swap: [-80, -73, -49, 2]

Pass 3:
  Compare -80 and -73
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -73, -49, 2]
</think>

<response>-80, -73, -49, 2</response>


input: Use the bubble sort technique to reorder -10, 89, -97, -68, 96, -22, -41, -3, 10, 86 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-10, 89, -97, -68, 96, -22, -41, -3, 10, 86]

Pass 1:
  Compare -10 and 89
  No swap needed
  Compare 89 and -97
  Swap 89 and -97
  List after swap: [-10, -97, 89, -68, 96, -22, -41, -3, 10, 86]
  Compare 89 and -68
  Swap 89 and -68
  List after swap: [-10, -97, -68, 89, 96, -22, -41, -3, 10, 86]
  Compare 89 and 96
  No swap needed
  Compare 96 and -22
  Swap 96 and -22
  List after swap: [-10, -97, -68, 89, -22, 96, -41, -3, 10, 86]
  Compare 96 and -41
  Swap 96 and -41
  List after swap: [-10, -97, -68, 89, -22, -41, 96, -3, 10, 86]
  Compare 96 and -3
  Swap 96 and -3
  List after swap: [-10, -97, -68, 89, -22, -41, -3, 96, 10, 86]
  Compare 96 and 10
  Swap 96 and 10
  List after swap: [-10, -97, -68, 89, -22, -41, -3, 10, 96, 86]
  Compare 96 and 86
  Swap 96 and 86
  List after swap: [-10, -97, -68, 89, -22, -41, -3, 10, 86, 96]

Pass 2:
  Compare -10 and -97
  Swap -10 and -97
  List after swap: [-97, -10, -68, 89, -22, -41, -3, 10, 86, 96]
  Compare -10 and -68
  Swap -10 and -68
  List after swap: [-97, -68, -10, 89, -22, -41, -3, 10, 86, 96]
  Compare -10 and 89
  No swap needed
  Compare 89 and -22
  Swap 89 and -22
  List after swap: [-97, -68, -10, -22, 89, -41, -3, 10, 86, 96]
  Compare 89 and -41
  Swap 89 and -41
  List after swap: [-97, -68, -10, -22, -41, 89, -3, 10, 86, 96]
  Compare 89 and -3
  Swap 89 and -3
  List after swap: [-97, -68, -10, -22, -41, -3, 89, 10, 86, 96]
  Compare 89 and 10
  Swap 89 and 10
  List after swap: [-97, -68, -10, -22, -41, -3, 10, 89, 86, 96]
  Compare 89 and 86
  Swap 89 and 86
  List after swap: [-97, -68, -10, -22, -41, -3, 10, 86, 89, 96]

Pass 3:
  Compare -97 and -68
  No swap needed
  Compare -68 and -10
  No swap needed
  Compare -10 and -22
  Swap -10 and -22
  List after swap: [-97, -68, -22, -10, -41, -3, 10, 86, 89, 96]
  Compare -10 and -41
  Swap -10 and -41
  List after swap: [-97, -68, -22, -41, -10, -3, 10, 86, 89, 96]
  Compare -10 and -3
  No swap needed
  Compare -3 and 10
  No swap needed
  Compare 10 and 86
  No swap needed

Pass 4:
  Compare -97 and -68
  No swap needed
  Compare -68 and -22
  No swap needed
  Compare -22 and -41
  Swap -22 and -41
  List after swap: [-97, -68, -41, -22, -10, -3, 10, 86, 89, 96]
  Compare -22 and -10
  No swap needed
  Compare -10 and -3
  No swap needed
  Compare -3 and 10
  No swap needed

Pass 5:
  Compare -97 and -68
  No swap needed
  Compare -68 and -41
  No swap needed
  Compare -41 and -22
  No swap needed
  Compare -22 and -10
  No swap needed
  Compare -10 and -3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -68, -41, -22, -10, -3, 10, 86, 89, 96]
</think>

<response>-97, -68, -41, -22, -10, -3, 10, 86, 89, 96</response>


input: Demonstrate how bubble sort orders the integers 48, -96, -50, 53, 10, -46 in ascending sequence, showing all steps.

output:
<think>
Initial list: [48, -96, -50, 53, 10, -46]

Pass 1:
  Compare 48 and -96
  Swap 48 and -96
  List after swap: [-96, 48, -50, 53, 10, -46]
  Compare 48 and -50
  Swap 48 and -50
  List after swap: [-96, -50, 48, 53, 10, -46]
  Compare 48 and 53
  No swap needed
  Compare 53 and 10
  Swap 53 and 10
  List after swap: [-96, -50, 48, 10, 53, -46]
  Compare 53 and -46
  Swap 53 and -46
  List after swap: [-96, -50, 48, 10, -46, 53]

Pass 2:
  Compare -96 and -50
  No swap needed
  Compare -50 and 48
  No swap needed
  Compare 48 and 10
  Swap 48 and 10
  List after swap: [-96, -50, 10, 48, -46, 53]
  Compare 48 and -46
  Swap 48 and -46
  List after swap: [-96, -50, 10, -46, 48, 53]

Pass 3:
  Compare -96 and -50
  No swap needed
  Compare -50 and 10
  No swap needed
  Compare 10 and -46
  Swap 10 and -46
  List after swap: [-96, -50, -46, 10, 48, 53]

Pass 4:
  Compare -96 and -50
  No swap needed
  Compare -50 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -50, -46, 10, 48, 53]
</think>

<response>-96, -50, -46, 10, 48, 53</response>


input: Arrange the numbers -86, 42, 67, 46, -6, -9, 78, 92, -93, -61 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-86, 42, 67, 46, -6, -9, 78, 92, -93, -61]

Pass 1:
  Compare -86 and 42
  No swap needed
  Compare 42 and 67
  No swap needed
  Compare 67 and 46
  Swap 67 and 46
  List after swap: [-86, 42, 46, 67, -6, -9, 78, 92, -93, -61]
  Compare 67 and -6
  Swap 67 and -6
  List after swap: [-86, 42, 46, -6, 67, -9, 78, 92, -93, -61]
  Compare 67 and -9
  Swap 67 and -9
  List after swap: [-86, 42, 46, -6, -9, 67, 78, 92, -93, -61]
  Compare 67 and 78
  No swap needed
  Compare 78 and 92
  No swap needed
  Compare 92 and -93
  Swap 92 and -93
  List after swap: [-86, 42, 46, -6, -9, 67, 78, -93, 92, -61]
  Compare 92 and -61
  Swap 92 and -61
  List after swap: [-86, 42, 46, -6, -9, 67, 78, -93, -61, 92]

Pass 2:
  Compare -86 and 42
  No swap needed
  Compare 42 and 46
  No swap needed
  Compare 46 and -6
  Swap 46 and -6
  List after swap: [-86, 42, -6, 46, -9, 67, 78, -93, -61, 92]
  Compare 46 and -9
  Swap 46 and -9
  List after swap: [-86, 42, -6, -9, 46, 67, 78, -93, -61, 92]
  Compare 46 and 67
  No swap needed
  Compare 67 and 78
  No swap needed
  Compare 78 and -93
  Swap 78 and -93
  List after swap: [-86, 42, -6, -9, 46, 67, -93, 78, -61, 92]
  Compare 78 and -61
  Swap 78 and -61
  List after swap: [-86, 42, -6, -9, 46, 67, -93, -61, 78, 92]

Pass 3:
  Compare -86 and 42
  No swap needed
  Compare 42 and -6
  Swap 42 and -6
  List after swap: [-86, -6, 42, -9, 46, 67, -93, -61, 78, 92]
  Compare 42 and -9
  Swap 42 and -9
  List after swap: [-86, -6, -9, 42, 46, 67, -93, -61, 78, 92]
  Compare 42 and 46
  No swap needed
  Compare 46 and 67
  No swap needed
  Compare 67 and -93
  Swap 67 and -93
  List after swap: [-86, -6, -9, 42, 46, -93, 67, -61, 78, 92]
  Compare 67 and -61
  Swap 67 and -61
  List after swap: [-86, -6, -9, 42, 46, -93, -61, 67, 78, 92]

Pass 4:
  Compare -86 and -6
  No swap needed
  Compare -6 and -9
  Swap -6 and -9
  List after swap: [-86, -9, -6, 42, 46, -93, -61, 67, 78, 92]
  Compare -6 and 42
  No swap needed
  Compare 42 and 46
  No swap needed
  Compare 46 and -93
  Swap 46 and -93
  List after swap: [-86, -9, -6, 42, -93, 46, -61, 67, 78, 92]
  Compare 46 and -61
  Swap 46 and -61
  List after swap: [-86, -9, -6, 42, -93, -61, 46, 67, 78, 92]

Pass 5:
  Compare -86 and -9
  No swap needed
  Compare -9 and -6
  No swap needed
  Compare -6 and 42
  No swap needed
  Compare 42 and -93
  Swap 42 and -93
  List after swap: [-86, -9, -6, -93, 42, -61, 46, 67, 78, 92]
  Compare 42 and -61
  Swap 42 and -61
  List after swap: [-86, -9, -6, -93, -61, 42, 46, 67, 78, 92]

Pass 6:
  Compare -86 and -9
  No swap needed
  Compare -9 and -6
  No swap needed
  Compare -6 and -93
  Swap -6 and -93
  List after swap: [-86, -9, -93, -6, -61, 42, 46, 67, 78, 92]
  Compare -6 and -61
  Swap -6 and -61
  List after swap: [-86, -9, -93, -61, -6, 42, 46, 67, 78, 92]

Pass 7:
  Compare -86 and -9
  No swap needed
  Compare -9 and -93
  Swap -9 and -93
  List after swap: [-86, -93, -9, -61, -6, 42, 46, 67, 78, 92]
  Compare -9 and -61
  Swap -9 and -61
  List after swap: [-86, -93, -61, -9, -6, 42, 46, 67, 78, 92]

Pass 8:
  Compare -86 and -93
  Swap -86 and -93
  List after swap: [-93, -86, -61, -9, -6, 42, 46, 67, 78, 92]
  Compare -86 and -61
  No swap needed

Pass 9:
  Compare -93 and -86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -86, -61, -9, -6, 42, 46, 67, 78, 92]
</think>

<response>-93, -86, -61, -9, -6, 42, 46, 67, 78, 92</response>


input: Using the bubble sort method, sort 22, 40, 83, 57 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [22, 40, 83, 57]

Pass 1:
  Compare 22 and 40
  No swap needed
  Compare 40 and 83
  No swap needed
  Compare 83 and 57
  Swap 83 and 57
  List after swap: [22, 40, 57, 83]

Pass 2:
  Compare 22 and 40
  No swap needed
  Compare 40 and 57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [22, 40, 57, 83]
</think>

<response>22, 40, 57, 83</response>


input: Arrange the numbers 45, -85, 68, 67, -94, -83, -33, -100, 58 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [45, -85, 68, 67, -94, -83, -33, -100, 58]

Pass 1:
  Compare 45 and -85
  Swap 45 and -85
  List after swap: [-85, 45, 68, 67, -94, -83, -33, -100, 58]
  Compare 45 and 68
  No swap needed
  Compare 68 and 67
  Swap 68 and 67
  List after swap: [-85, 45, 67, 68, -94, -83, -33, -100, 58]
  Compare 68 and -94
  Swap 68 and -94
  List after swap: [-85, 45, 67, -94, 68, -83, -33, -100, 58]
  Compare 68 and -83
  Swap 68 and -83
  List after swap: [-85, 45, 67, -94, -83, 68, -33, -100, 58]
  Compare 68 and -33
  Swap 68 and -33
  List after swap: [-85, 45, 67, -94, -83, -33, 68, -100, 58]
  Compare 68 and -100
  Swap 68 and -100
  List after swap: [-85, 45, 67, -94, -83, -33, -100, 68, 58]
  Compare 68 and 58
  Swap 68 and 58
  List after swap: [-85, 45, 67, -94, -83, -33, -100, 58, 68]

Pass 2:
  Compare -85 and 45
  No swap needed
  Compare 45 and 67
  No swap needed
  Compare 67 and -94
  Swap 67 and -94
  List after swap: [-85, 45, -94, 67, -83, -33, -100, 58, 68]
  Compare 67 and -83
  Swap 67 and -83
  List after swap: [-85, 45, -94, -83, 67, -33, -100, 58, 68]
  Compare 67 and -33
  Swap 67 and -33
  List after swap: [-85, 45, -94, -83, -33, 67, -100, 58, 68]
  Compare 67 and -100
  Swap 67 and -100
  List after swap: [-85, 45, -94, -83, -33, -100, 67, 58, 68]
  Compare 67 and 58
  Swap 67 and 58
  List after swap: [-85, 45, -94, -83, -33, -100, 58, 67, 68]

Pass 3:
  Compare -85 and 45
  No swap needed
  Compare 45 and -94
  Swap 45 and -94
  List after swap: [-85, -94, 45, -83, -33, -100, 58, 67, 68]
  Compare 45 and -83
  Swap 45 and -83
  List after swap: [-85, -94, -83, 45, -33, -100, 58, 67, 68]
  Compare 45 and -33
  Swap 45 and -33
  List after swap: [-85, -94, -83, -33, 45, -100, 58, 67, 68]
  Compare 45 and -100
  Swap 45 and -100
  List after swap: [-85, -94, -83, -33, -100, 45, 58, 67, 68]
  Compare 45 and 58
  No swap needed

Pass 4:
  Compare -85 and -94
  Swap -85 and -94
  List after swap: [-94, -85, -83, -33, -100, 45, 58, 67, 68]
  Compare -85 and -83
  No swap needed
  Compare -83 and -33
  No swap needed
  Compare -33 and -100
  Swap -33 and -100
  List after swap: [-94, -85, -83, -100, -33, 45, 58, 67, 68]
  Compare -33 and 45
  No swap needed

Pass 5:
  Compare -94 and -85
  No swap needed
  Compare -85 and -83
  No swap needed
  Compare -83 and -100
  Swap -83 and -100
  List after swap: [-94, -85, -100, -83, -33, 45, 58, 67, 68]
  Compare -83 and -33
  No swap needed

Pass 6:
  Compare -94 and -85
  No swap needed
  Compare -85 and -100
  Swap -85 and -100
  List after swap: [-94, -100, -85, -83, -33, 45, 58, 67, 68]
  Compare -85 and -83
  No swap needed

Pass 7:
  Compare -94 and -100
  Swap -94 and -100
  List after swap: [-100, -94, -85, -83, -33, 45, 58, 67, 68]
  Compare -94 and -85
  No swap needed

Pass 8:
  Compare -100 and -94
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -94, -85, -83, -33, 45, 58, 67, 68]
</think>

<response>-100, -94, -85, -83, -33, 45, 58, 67, 68</response>


input: Sort the list -20, 46, 66, 9 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-20, 46, 66, 9]

Pass 1:
  Compare -20 and 46
  No swap needed
  Compare 46 and 66
  No swap needed
  Compare 66 and 9
  Swap 66 and 9
  List after swap: [-20, 46, 9, 66]

Pass 2:
  Compare -20 and 46
  No swap needed
  Compare 46 and 9
  Swap 46 and 9
  List after swap: [-20, 9, 46, 66]

Pass 3:
  Compare -20 and 9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-20, 9, 46, 66]
</think>

<response>-20, 9, 46, 66</response>


input: Demonstrate how bubble sort orders the integers -14, -79, 12, 49, 21, -54, 67, -31, 34, -13 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-14, -79, 12, 49, 21, -54, 67, -31, 34, -13]

Pass 1:
  Compare -14 and -79
  Swap -14 and -79
  List after swap: [-79, -14, 12, 49, 21, -54, 67, -31, 34, -13]
  Compare -14 and 12
  No swap needed
  Compare 12 and 49
  No swap needed
  Compare 49 and 21
  Swap 49 and 21
  List after swap: [-79, -14, 12, 21, 49, -54, 67, -31, 34, -13]
  Compare 49 and -54
  Swap 49 and -54
  List after swap: [-79, -14, 12, 21, -54, 49, 67, -31, 34, -13]
  Compare 49 and 67
  No swap needed
  Compare 67 and -31
  Swap 67 and -31
  List after swap: [-79, -14, 12, 21, -54, 49, -31, 67, 34, -13]
  Compare 67 and 34
  Swap 67 and 34
  List after swap: [-79, -14, 12, 21, -54, 49, -31, 34, 67, -13]
  Compare 67 and -13
  Swap 67 and -13
  List after swap: [-79, -14, 12, 21, -54, 49, -31, 34, -13, 67]

Pass 2:
  Compare -79 and -14
  No swap needed
  Compare -14 and 12
  No swap needed
  Compare 12 and 21
  No swap needed
  Compare 21 and -54
  Swap 21 and -54
  List after swap: [-79, -14, 12, -54, 21, 49, -31, 34, -13, 67]
  Compare 21 and 49
  No swap needed
  Compare 49 and -31
  Swap 49 and -31
  List after swap: [-79, -14, 12, -54, 21, -31, 49, 34, -13, 67]
  Compare 49 and 34
  Swap 49 and 34
  List after swap: [-79, -14, 12, -54, 21, -31, 34, 49, -13, 67]
  Compare 49 and -13
  Swap 49 and -13
  List after swap: [-79, -14, 12, -54, 21, -31, 34, -13, 49, 67]

Pass 3:
  Compare -79 and -14
  No swap needed
  Compare -14 and 12
  No swap needed
  Compare 12 and -54
  Swap 12 and -54
  List after swap: [-79, -14, -54, 12, 21, -31, 34, -13, 49, 67]
  Compare 12 and 21
  No swap needed
  Compare 21 and -31
  Swap 21 and -31
  List after swap: [-79, -14, -54, 12, -31, 21, 34, -13, 49, 67]
  Compare 21 and 34
  No swap needed
  Compare 34 and -13
  Swap 34 and -13
  List after swap: [-79, -14, -54, 12, -31, 21, -13, 34, 49, 67]

Pass 4:
  Compare -79 and -14
  No swap needed
  Compare -14 and -54
  Swap -14 and -54
  List after swap: [-79, -54, -14, 12, -31, 21, -13, 34, 49, 67]
  Compare -14 and 12
  No swap needed
  Compare 12 and -31
  Swap 12 and -31
  List after swap: [-79, -54, -14, -31, 12, 21, -13, 34, 49, 67]
  Compare 12 and 21
  No swap needed
  Compare 21 and -13
  Swap 21 and -13
  List after swap: [-79, -54, -14, -31, 12, -13, 21, 34, 49, 67]

Pass 5:
  Compare -79 and -54
  No swap needed
  Compare -54 and -14
  No swap needed
  Compare -14 and -31
  Swap -14 and -31
  List after swap: [-79, -54, -31, -14, 12, -13, 21, 34, 49, 67]
  Compare -14 and 12
  No swap needed
  Compare 12 and -13
  Swap 12 and -13
  List after swap: [-79, -54, -31, -14, -13, 12, 21, 34, 49, 67]

Pass 6:
  Compare -79 and -54
  No swap needed
  Compare -54 and -31
  No swap needed
  Compare -31 and -14
  No swap needed
  Compare -14 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -54, -31, -14, -13, 12, 21, 34, 49, 67]
</think>

<response>-79, -54, -31, -14, -13, 12, 21, 34, 49, 67</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -75, -89.

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

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

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

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

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


input: Carry out the bubble sort algorithm on 86, 43, -10, -49, 63, -89, -22, -81 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [86, 43, -10, -49, 63, -89, -22, -81]

Pass 1:
  Compare 86 and 43
  Swap 86 and 43
  List after swap: [43, 86, -10, -49, 63, -89, -22, -81]
  Compare 86 and -10
  Swap 86 and -10
  List after swap: [43, -10, 86, -49, 63, -89, -22, -81]
  Compare 86 and -49
  Swap 86 and -49
  List after swap: [43, -10, -49, 86, 63, -89, -22, -81]
  Compare 86 and 63
  Swap 86 and 63
  List after swap: [43, -10, -49, 63, 86, -89, -22, -81]
  Compare 86 and -89
  Swap 86 and -89
  List after swap: [43, -10, -49, 63, -89, 86, -22, -81]
  Compare 86 and -22
  Swap 86 and -22
  List after swap: [43, -10, -49, 63, -89, -22, 86, -81]
  Compare 86 and -81
  Swap 86 and -81
  List after swap: [43, -10, -49, 63, -89, -22, -81, 86]

Pass 2:
  Compare 43 and -10
  Swap 43 and -10
  List after swap: [-10, 43, -49, 63, -89, -22, -81, 86]
  Compare 43 and -49
  Swap 43 and -49
  List after swap: [-10, -49, 43, 63, -89, -22, -81, 86]
  Compare 43 and 63
  No swap needed
  Compare 63 and -89
  Swap 63 and -89
  List after swap: [-10, -49, 43, -89, 63, -22, -81, 86]
  Compare 63 and -22
  Swap 63 and -22
  List after swap: [-10, -49, 43, -89, -22, 63, -81, 86]
  Compare 63 and -81
  Swap 63 and -81
  List after swap: [-10, -49, 43, -89, -22, -81, 63, 86]

Pass 3:
  Compare -10 and -49
  Swap -10 and -49
  List after swap: [-49, -10, 43, -89, -22, -81, 63, 86]
  Compare -10 and 43
  No swap needed
  Compare 43 and -89
  Swap 43 and -89
  List after swap: [-49, -10, -89, 43, -22, -81, 63, 86]
  Compare 43 and -22
  Swap 43 and -22
  List after swap: [-49, -10, -89, -22, 43, -81, 63, 86]
  Compare 43 and -81
  Swap 43 and -81
  List after swap: [-49, -10, -89, -22, -81, 43, 63, 86]

Pass 4:
  Compare -49 and -10
  No swap needed
  Compare -10 and -89
  Swap -10 and -89
  List after swap: [-49, -89, -10, -22, -81, 43, 63, 86]
  Compare -10 and -22
  Swap -10 and -22
  List after swap: [-49, -89, -22, -10, -81, 43, 63, 86]
  Compare -10 and -81
  Swap -10 and -81
  List after swap: [-49, -89, -22, -81, -10, 43, 63, 86]

Pass 5:
  Compare -49 and -89
  Swap -49 and -89
  List after swap: [-89, -49, -22, -81, -10, 43, 63, 86]
  Compare -49 and -22
  No swap needed
  Compare -22 and -81
  Swap -22 and -81
  List after swap: [-89, -49, -81, -22, -10, 43, 63, 86]

Pass 6:
  Compare -89 and -49
  No swap needed
  Compare -49 and -81
  Swap -49 and -81
  List after swap: [-89, -81, -49, -22, -10, 43, 63, 86]

Pass 7:
  Compare -89 and -81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -81, -49, -22, -10, 43, 63, 86]
</think>

<response>-89, -81, -49, -22, -10, 43, 63, 86</response>


input: Sort the list 1, -82, 80, 20, 13, -57, -74, -11, -70, 58 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [1, -82, 80, 20, 13, -57, -74, -11, -70, 58]

Pass 1:
  Compare 1 and -82
  Swap 1 and -82
  List after swap: [-82, 1, 80, 20, 13, -57, -74, -11, -70, 58]
  Compare 1 and 80
  No swap needed
  Compare 80 and 20
  Swap 80 and 20
  List after swap: [-82, 1, 20, 80, 13, -57, -74, -11, -70, 58]
  Compare 80 and 13
  Swap 80 and 13
  List after swap: [-82, 1, 20, 13, 80, -57, -74, -11, -70, 58]
  Compare 80 and -57
  Swap 80 and -57
  List after swap: [-82, 1, 20, 13, -57, 80, -74, -11, -70, 58]
  Compare 80 and -74
  Swap 80 and -74
  List after swap: [-82, 1, 20, 13, -57, -74, 80, -11, -70, 58]
  Compare 80 and -11
  Swap 80 and -11
  List after swap: [-82, 1, 20, 13, -57, -74, -11, 80, -70, 58]
  Compare 80 and -70
  Swap 80 and -70
  List after swap: [-82, 1, 20, 13, -57, -74, -11, -70, 80, 58]
  Compare 80 and 58
  Swap 80 and 58
  List after swap: [-82, 1, 20, 13, -57, -74, -11, -70, 58, 80]

Pass 2:
  Compare -82 and 1
  No swap needed
  Compare 1 and 20
  No swap needed
  Compare 20 and 13
  Swap 20 and 13
  List after swap: [-82, 1, 13, 20, -57, -74, -11, -70, 58, 80]
  Compare 20 and -57
  Swap 20 and -57
  List after swap: [-82, 1, 13, -57, 20, -74, -11, -70, 58, 80]
  Compare 20 and -74
  Swap 20 and -74
  List after swap: [-82, 1, 13, -57, -74, 20, -11, -70, 58, 80]
  Compare 20 and -11
  Swap 20 and -11
  List after swap: [-82, 1, 13, -57, -74, -11, 20, -70, 58, 80]
  Compare 20 and -70
  Swap 20 and -70
  List after swap: [-82, 1, 13, -57, -74, -11, -70, 20, 58, 80]
  Compare 20 and 58
  No swap needed

Pass 3:
  Compare -82 and 1
  No swap needed
  Compare 1 and 13
  No swap needed
  Compare 13 and -57
  Swap 13 and -57
  List after swap: [-82, 1, -57, 13, -74, -11, -70, 20, 58, 80]
  Compare 13 and -74
  Swap 13 and -74
  List after swap: [-82, 1, -57, -74, 13, -11, -70, 20, 58, 80]
  Compare 13 and -11
  Swap 13 and -11
  List after swap: [-82, 1, -57, -74, -11, 13, -70, 20, 58, 80]
  Compare 13 and -70
  Swap 13 and -70
  List after swap: [-82, 1, -57, -74, -11, -70, 13, 20, 58, 80]
  Compare 13 and 20
  No swap needed

Pass 4:
  Compare -82 and 1
  No swap needed
  Compare 1 and -57
  Swap 1 and -57
  List after swap: [-82, -57, 1, -74, -11, -70, 13, 20, 58, 80]
  Compare 1 and -74
  Swap 1 and -74
  List after swap: [-82, -57, -74, 1, -11, -70, 13, 20, 58, 80]
  Compare 1 and -11
  Swap 1 and -11
  List after swap: [-82, -57, -74, -11, 1, -70, 13, 20, 58, 80]
  Compare 1 and -70
  Swap 1 and -70
  List after swap: [-82, -57, -74, -11, -70, 1, 13, 20, 58, 80]
  Compare 1 and 13
  No swap needed

Pass 5:
  Compare -82 and -57
  No swap needed
  Compare -57 and -74
  Swap -57 and -74
  List after swap: [-82, -74, -57, -11, -70, 1, 13, 20, 58, 80]
  Compare -57 and -11
  No swap needed
  Compare -11 and -70
  Swap -11 and -70
  List after swap: [-82, -74, -57, -70, -11, 1, 13, 20, 58, 80]
  Compare -11 and 1
  No swap needed

Pass 6:
  Compare -82 and -74
  No swap needed
  Compare -74 and -57
  No swap needed
  Compare -57 and -70
  Swap -57 and -70
  List after swap: [-82, -74, -70, -57, -11, 1, 13, 20, 58, 80]
  Compare -57 and -11
  No swap needed

Pass 7:
  Compare -82 and -74
  No swap needed
  Compare -74 and -70
  No swap needed
  Compare -70 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -74, -70, -57, -11, 1, 13, 20, 58, 80]
</think>

<response>-82, -74, -70, -57, -11, 1, 13, 20, 58, 80</response>


input: Sort these integers 57, -48, -19, 65, -56, -93, 32, 5, -57, 61 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [57, -48, -19, 65, -56, -93, 32, 5, -57, 61]

Pass 1:
  Compare 57 and -48
  Swap 57 and -48
  List after swap: [-48, 57, -19, 65, -56, -93, 32, 5, -57, 61]
  Compare 57 and -19
  Swap 57 and -19
  List after swap: [-48, -19, 57, 65, -56, -93, 32, 5, -57, 61]
  Compare 57 and 65
  No swap needed
  Compare 65 and -56
  Swap 65 and -56
  List after swap: [-48, -19, 57, -56, 65, -93, 32, 5, -57, 61]
  Compare 65 and -93
  Swap 65 and -93
  List after swap: [-48, -19, 57, -56, -93, 65, 32, 5, -57, 61]
  Compare 65 and 32
  Swap 65 and 32
  List after swap: [-48, -19, 57, -56, -93, 32, 65, 5, -57, 61]
  Compare 65 and 5
  Swap 65 and 5
  List after swap: [-48, -19, 57, -56, -93, 32, 5, 65, -57, 61]
  Compare 65 and -57
  Swap 65 and -57
  List after swap: [-48, -19, 57, -56, -93, 32, 5, -57, 65, 61]
  Compare 65 and 61
  Swap 65 and 61
  List after swap: [-48, -19, 57, -56, -93, 32, 5, -57, 61, 65]

Pass 2:
  Compare -48 and -19
  No swap needed
  Compare -19 and 57
  No swap needed
  Compare 57 and -56
  Swap 57 and -56
  List after swap: [-48, -19, -56, 57, -93, 32, 5, -57, 61, 65]
  Compare 57 and -93
  Swap 57 and -93
  List after swap: [-48, -19, -56, -93, 57, 32, 5, -57, 61, 65]
  Compare 57 and 32
  Swap 57 and 32
  List after swap: [-48, -19, -56, -93, 32, 57, 5, -57, 61, 65]
  Compare 57 and 5
  Swap 57 and 5
  List after swap: [-48, -19, -56, -93, 32, 5, 57, -57, 61, 65]
  Compare 57 and -57
  Swap 57 and -57
  List after swap: [-48, -19, -56, -93, 32, 5, -57, 57, 61, 65]
  Compare 57 and 61
  No swap needed

Pass 3:
  Compare -48 and -19
  No swap needed
  Compare -19 and -56
  Swap -19 and -56
  List after swap: [-48, -56, -19, -93, 32, 5, -57, 57, 61, 65]
  Compare -19 and -93
  Swap -19 and -93
  List after swap: [-48, -56, -93, -19, 32, 5, -57, 57, 61, 65]
  Compare -19 and 32
  No swap needed
  Compare 32 and 5
  Swap 32 and 5
  List after swap: [-48, -56, -93, -19, 5, 32, -57, 57, 61, 65]
  Compare 32 and -57
  Swap 32 and -57
  List after swap: [-48, -56, -93, -19, 5, -57, 32, 57, 61, 65]
  Compare 32 and 57
  No swap needed

Pass 4:
  Compare -48 and -56
  Swap -48 and -56
  List after swap: [-56, -48, -93, -19, 5, -57, 32, 57, 61, 65]
  Compare -48 and -93
  Swap -48 and -93
  List after swap: [-56, -93, -48, -19, 5, -57, 32, 57, 61, 65]
  Compare -48 and -19
  No swap needed
  Compare -19 and 5
  No swap needed
  Compare 5 and -57
  Swap 5 and -57
  List after swap: [-56, -93, -48, -19, -57, 5, 32, 57, 61, 65]
  Compare 5 and 32
  No swap needed

Pass 5:
  Compare -56 and -93
  Swap -56 and -93
  List after swap: [-93, -56, -48, -19, -57, 5, 32, 57, 61, 65]
  Compare -56 and -48
  No swap needed
  Compare -48 and -19
  No swap needed
  Compare -19 and -57
  Swap -19 and -57
  List after swap: [-93, -56, -48, -57, -19, 5, 32, 57, 61, 65]
  Compare -19 and 5
  No swap needed

Pass 6:
  Compare -93 and -56
  No swap needed
  Compare -56 and -48
  No swap needed
  Compare -48 and -57
  Swap -48 and -57
  List after swap: [-93, -56, -57, -48, -19, 5, 32, 57, 61, 65]
  Compare -48 and -19
  No swap needed

Pass 7:
  Compare -93 and -56
  No swap needed
  Compare -56 and -57
  Swap -56 and -57
  List after swap: [-93, -57, -56, -48, -19, 5, 32, 57, 61, 65]
  Compare -56 and -48
  No swap needed

Pass 8:
  Compare -93 and -57
  No swap needed
  Compare -57 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -57, -56, -48, -19, 5, 32, 57, 61, 65]
</think>

<response>-93, -57, -56, -48, -19, 5, 32, 57, 61, 65</response>


input: Perform a bubble sort on the integers 63, -60, 79, 60, -67, 68, 37, -98, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [63, -60, 79, 60, -67, 68, 37, -98]

Pass 1:
  Compare 63 and -60
  Swap 63 and -60
  List after swap: [-60, 63, 79, 60, -67, 68, 37, -98]
  Compare 63 and 79
  No swap needed
  Compare 79 and 60
  Swap 79 and 60
  List after swap: [-60, 63, 60, 79, -67, 68, 37, -98]
  Compare 79 and -67
  Swap 79 and -67
  List after swap: [-60, 63, 60, -67, 79, 68, 37, -98]
  Compare 79 and 68
  Swap 79 and 68
  List after swap: [-60, 63, 60, -67, 68, 79, 37, -98]
  Compare 79 and 37
  Swap 79 and 37
  List after swap: [-60, 63, 60, -67, 68, 37, 79, -98]
  Compare 79 and -98
  Swap 79 and -98
  List after swap: [-60, 63, 60, -67, 68, 37, -98, 79]

Pass 2:
  Compare -60 and 63
  No swap needed
  Compare 63 and 60
  Swap 63 and 60
  List after swap: [-60, 60, 63, -67, 68, 37, -98, 79]
  Compare 63 and -67
  Swap 63 and -67
  List after swap: [-60, 60, -67, 63, 68, 37, -98, 79]
  Compare 63 and 68
  No swap needed
  Compare 68 and 37
  Swap 68 and 37
  List after swap: [-60, 60, -67, 63, 37, 68, -98, 79]
  Compare 68 and -98
  Swap 68 and -98
  List after swap: [-60, 60, -67, 63, 37, -98, 68, 79]

Pass 3:
  Compare -60 and 60
  No swap needed
  Compare 60 and -67
  Swap 60 and -67
  List after swap: [-60, -67, 60, 63, 37, -98, 68, 79]
  Compare 60 and 63
  No swap needed
  Compare 63 and 37
  Swap 63 and 37
  List after swap: [-60, -67, 60, 37, 63, -98, 68, 79]
  Compare 63 and -98
  Swap 63 and -98
  List after swap: [-60, -67, 60, 37, -98, 63, 68, 79]

Pass 4:
  Compare -60 and -67
  Swap -60 and -67
  List after swap: [-67, -60, 60, 37, -98, 63, 68, 79]
  Compare -60 and 60
  No swap needed
  Compare 60 and 37
  Swap 60 and 37
  List after swap: [-67, -60, 37, 60, -98, 63, 68, 79]
  Compare 60 and -98
  Swap 60 and -98
  List after swap: [-67, -60, 37, -98, 60, 63, 68, 79]

Pass 5:
  Compare -67 and -60
  No swap needed
  Compare -60 and 37
  No swap needed
  Compare 37 and -98
  Swap 37 and -98
  List after swap: [-67, -60, -98, 37, 60, 63, 68, 79]

Pass 6:
  Compare -67 and -60
  No swap needed
  Compare -60 and -98
  Swap -60 and -98
  List after swap: [-67, -98, -60, 37, 60, 63, 68, 79]

Pass 7:
  Compare -67 and -98
  Swap -67 and -98
  List after swap: [-98, -67, -60, 37, 60, 63, 68, 79]

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

Final sorted list: [-98, -67, -60, 37, 60, 63, 68, 79]
</think>

<response>-98, -67, -60, 37, 60, 63, 68, 79</response>


input: Sort these integers -40, 47, 75, 4, 98, -29, 22, 49 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-40, 47, 75, 4, 98, -29, 22, 49]

Pass 1:
  Compare -40 and 47
  No swap needed
  Compare 47 and 75
  No swap needed
  Compare 75 and 4
  Swap 75 and 4
  List after swap: [-40, 47, 4, 75, 98, -29, 22, 49]
  Compare 75 and 98
  No swap needed
  Compare 98 and -29
  Swap 98 and -29
  List after swap: [-40, 47, 4, 75, -29, 98, 22, 49]
  Compare 98 and 22
  Swap 98 and 22
  List after swap: [-40, 47, 4, 75, -29, 22, 98, 49]
  Compare 98 and 49
  Swap 98 and 49
  List after swap: [-40, 47, 4, 75, -29, 22, 49, 98]

Pass 2:
  Compare -40 and 47
  No swap needed
  Compare 47 and 4
  Swap 47 and 4
  List after swap: [-40, 4, 47, 75, -29, 22, 49, 98]
  Compare 47 and 75
  No swap needed
  Compare 75 and -29
  Swap 75 and -29
  List after swap: [-40, 4, 47, -29, 75, 22, 49, 98]
  Compare 75 and 22
  Swap 75 and 22
  List after swap: [-40, 4, 47, -29, 22, 75, 49, 98]
  Compare 75 and 49
  Swap 75 and 49
  List after swap: [-40, 4, 47, -29, 22, 49, 75, 98]

Pass 3:
  Compare -40 and 4
  No swap needed
  Compare 4 and 47
  No swap needed
  Compare 47 and -29
  Swap 47 and -29
  List after swap: [-40, 4, -29, 47, 22, 49, 75, 98]
  Compare 47 and 22
  Swap 47 and 22
  List after swap: [-40, 4, -29, 22, 47, 49, 75, 98]
  Compare 47 and 49
  No swap needed

Pass 4:
  Compare -40 and 4
  No swap needed
  Compare 4 and -29
  Swap 4 and -29
  List after swap: [-40, -29, 4, 22, 47, 49, 75, 98]
  Compare 4 and 22
  No swap needed
  Compare 22 and 47
  No swap needed

Pass 5:
  Compare -40 and -29
  No swap needed
  Compare -29 and 4
  No swap needed
  Compare 4 and 22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-40, -29, 4, 22, 47, 49, 75, 98]
</think>

<response>-40, -29, 4, 22, 47, 49, 75, 98</response>


input: Implement bubble sort on 4, -19, -82, 33, -14, 14, 68, -38, -85 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [4, -19, -82, 33, -14, 14, 68, -38, -85]

Pass 1:
  Compare 4 and -19
  Swap 4 and -19
  List after swap: [-19, 4, -82, 33, -14, 14, 68, -38, -85]
  Compare 4 and -82
  Swap 4 and -82
  List after swap: [-19, -82, 4, 33, -14, 14, 68, -38, -85]
  Compare 4 and 33
  No swap needed
  Compare 33 and -14
  Swap 33 and -14
  List after swap: [-19, -82, 4, -14, 33, 14, 68, -38, -85]
  Compare 33 and 14
  Swap 33 and 14
  List after swap: [-19, -82, 4, -14, 14, 33, 68, -38, -85]
  Compare 33 and 68
  No swap needed
  Compare 68 and -38
  Swap 68 and -38
  List after swap: [-19, -82, 4, -14, 14, 33, -38, 68, -85]
  Compare 68 and -85
  Swap 68 and -85
  List after swap: [-19, -82, 4, -14, 14, 33, -38, -85, 68]

Pass 2:
  Compare -19 and -82
  Swap -19 and -82
  List after swap: [-82, -19, 4, -14, 14, 33, -38, -85, 68]
  Compare -19 and 4
  No swap needed
  Compare 4 and -14
  Swap 4 and -14
  List after swap: [-82, -19, -14, 4, 14, 33, -38, -85, 68]
  Compare 4 and 14
  No swap needed
  Compare 14 and 33
  No swap needed
  Compare 33 and -38
  Swap 33 and -38
  List after swap: [-82, -19, -14, 4, 14, -38, 33, -85, 68]
  Compare 33 and -85
  Swap 33 and -85
  List after swap: [-82, -19, -14, 4, 14, -38, -85, 33, 68]

Pass 3:
  Compare -82 and -19
  No swap needed
  Compare -19 and -14
  No swap needed
  Compare -14 and 4
  No swap needed
  Compare 4 and 14
  No swap needed
  Compare 14 and -38
  Swap 14 and -38
  List after swap: [-82, -19, -14, 4, -38, 14, -85, 33, 68]
  Compare 14 and -85
  Swap 14 and -85
  List after swap: [-82, -19, -14, 4, -38, -85, 14, 33, 68]

Pass 4:
  Compare -82 and -19
  No swap needed
  Compare -19 and -14
  No swap needed
  Compare -14 and 4
  No swap needed
  Compare 4 and -38
  Swap 4 and -38
  List after swap: [-82, -19, -14, -38, 4, -85, 14, 33, 68]
  Compare 4 and -85
  Swap 4 and -85
  List after swap: [-82, -19, -14, -38, -85, 4, 14, 33, 68]

Pass 5:
  Compare -82 and -19
  No swap needed
  Compare -19 and -14
  No swap needed
  Compare -14 and -38
  Swap -14 and -38
  List after swap: [-82, -19, -38, -14, -85, 4, 14, 33, 68]
  Compare -14 and -85
  Swap -14 and -85
  List after swap: [-82, -19, -38, -85, -14, 4, 14, 33, 68]

Pass 6:
  Compare -82 and -19
  No swap needed
  Compare -19 and -38
  Swap -19 and -38
  List after swap: [-82, -38, -19, -85, -14, 4, 14, 33, 68]
  Compare -19 and -85
  Swap -19 and -85
  List after swap: [-82, -38, -85, -19, -14, 4, 14, 33, 68]

Pass 7:
  Compare -82 and -38
  No swap needed
  Compare -38 and -85
  Swap -38 and -85
  List after swap: [-82, -85, -38, -19, -14, 4, 14, 33, 68]

Pass 8:
  Compare -82 and -85
  Swap -82 and -85
  List after swap: [-85, -82, -38, -19, -14, 4, 14, 33, 68]

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

Final sorted list: [-85, -82, -38, -19, -14, 4, 14, 33, 68]
</think>

<response>-85, -82, -38, -19, -14, 4, 14, 33, 68</response>


input: Use the bubble sort technique to reorder 32, 85, -5, -69, 7, -91, 52, -82, -95, -36 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [32, 85, -5, -69, 7, -91, 52, -82, -95, -36]

Pass 1:
  Compare 32 and 85
  No swap needed
  Compare 85 and -5
  Swap 85 and -5
  List after swap: [32, -5, 85, -69, 7, -91, 52, -82, -95, -36]
  Compare 85 and -69
  Swap 85 and -69
  List after swap: [32, -5, -69, 85, 7, -91, 52, -82, -95, -36]
  Compare 85 and 7
  Swap 85 and 7
  List after swap: [32, -5, -69, 7, 85, -91, 52, -82, -95, -36]
  Compare 85 and -91
  Swap 85 and -91
  List after swap: [32, -5, -69, 7, -91, 85, 52, -82, -95, -36]
  Compare 85 and 52
  Swap 85 and 52
  List after swap: [32, -5, -69, 7, -91, 52, 85, -82, -95, -36]
  Compare 85 and -82
  Swap 85 and -82
  List after swap: [32, -5, -69, 7, -91, 52, -82, 85, -95, -36]
  Compare 85 and -95
  Swap 85 and -95
  List after swap: [32, -5, -69, 7, -91, 52, -82, -95, 85, -36]
  Compare 85 and -36
  Swap 85 and -36
  List after swap: [32, -5, -69, 7, -91, 52, -82, -95, -36, 85]

Pass 2:
  Compare 32 and -5
  Swap 32 and -5
  List after swap: [-5, 32, -69, 7, -91, 52, -82, -95, -36, 85]
  Compare 32 and -69
  Swap 32 and -69
  List after swap: [-5, -69, 32, 7, -91, 52, -82, -95, -36, 85]
  Compare 32 and 7
  Swap 32 and 7
  List after swap: [-5, -69, 7, 32, -91, 52, -82, -95, -36, 85]
  Compare 32 and -91
  Swap 32 and -91
  List after swap: [-5, -69, 7, -91, 32, 52, -82, -95, -36, 85]
  Compare 32 and 52
  No swap needed
  Compare 52 and -82
  Swap 52 and -82
  List after swap: [-5, -69, 7, -91, 32, -82, 52, -95, -36, 85]
  Compare 52 and -95
  Swap 52 and -95
  List after swap: [-5, -69, 7, -91, 32, -82, -95, 52, -36, 85]
  Compare 52 and -36
  Swap 52 and -36
  List after swap: [-5, -69, 7, -91, 32, -82, -95, -36, 52, 85]

Pass 3:
  Compare -5 and -69
  Swap -5 and -69
  List after swap: [-69, -5, 7, -91, 32, -82, -95, -36, 52, 85]
  Compare -5 and 7
  No swap needed
  Compare 7 and -91
  Swap 7 and -91
  List after swap: [-69, -5, -91, 7, 32, -82, -95, -36, 52, 85]
  Compare 7 and 32
  No swap needed
  Compare 32 and -82
  Swap 32 and -82
  List after swap: [-69, -5, -91, 7, -82, 32, -95, -36, 52, 85]
  Compare 32 and -95
  Swap 32 and -95
  List after swap: [-69, -5, -91, 7, -82, -95, 32, -36, 52, 85]
  Compare 32 and -36
  Swap 32 and -36
  List after swap: [-69, -5, -91, 7, -82, -95, -36, 32, 52, 85]

Pass 4:
  Compare -69 and -5
  No swap needed
  Compare -5 and -91
  Swap -5 and -91
  List after swap: [-69, -91, -5, 7, -82, -95, -36, 32, 52, 85]
  Compare -5 and 7
  No swap needed
  Compare 7 and -82
  Swap 7 and -82
  List after swap: [-69, -91, -5, -82, 7, -95, -36, 32, 52, 85]
  Compare 7 and -95
  Swap 7 and -95
  List after swap: [-69, -91, -5, -82, -95, 7, -36, 32, 52, 85]
  Compare 7 and -36
  Swap 7 and -36
  List after swap: [-69, -91, -5, -82, -95, -36, 7, 32, 52, 85]

Pass 5:
  Compare -69 and -91
  Swap -69 and -91
  List after swap: [-91, -69, -5, -82, -95, -36, 7, 32, 52, 85]
  Compare -69 and -5
  No swap needed
  Compare -5 and -82
  Swap -5 and -82
  List after swap: [-91, -69, -82, -5, -95, -36, 7, 32, 52, 85]
  Compare -5 and -95
  Swap -5 and -95
  List after swap: [-91, -69, -82, -95, -5, -36, 7, 32, 52, 85]
  Compare -5 and -36
  Swap -5 and -36
  List after swap: [-91, -69, -82, -95, -36, -5, 7, 32, 52, 85]

Pass 6:
  Compare -91 and -69
  No swap needed
  Compare -69 and -82
  Swap -69 and -82
  List after swap: [-91, -82, -69, -95, -36, -5, 7, 32, 52, 85]
  Compare -69 and -95
  Swap -69 and -95
  List after swap: [-91, -82, -95, -69, -36, -5, 7, 32, 52, 85]
  Compare -69 and -36
  No swap needed

Pass 7:
  Compare -91 and -82
  No swap needed
  Compare -82 and -95
  Swap -82 and -95
  List after swap: [-91, -95, -82, -69, -36, -5, 7, 32, 52, 85]
  Compare -82 and -69
  No swap needed

Pass 8:
  Compare -91 and -95
  Swap -91 and -95
  List after swap: [-95, -91, -82, -69, -36, -5, 7, 32, 52, 85]
  Compare -91 and -82
  No swap needed

Pass 9:
  Compare -95 and -91
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -91, -82, -69, -36, -5, 7, 32, 52, 85]
</think>

<response>-95, -91, -82, -69, -36, -5, 7, 32, 52, 85</response>


input: Sort these integers 85, -32, -99 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [85, -32, -99]

Pass 1:
  Compare 85 and -32
  Swap 85 and -32
  List after swap: [-32, 85, -99]
  Compare 85 and -99
  Swap 85 and -99
  List after swap: [-32, -99, 85]

Pass 2:
  Compare -32 and -99
  Swap -32 and -99
  List after swap: [-99, -32, 85]

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

Final sorted list: [-99, -32, 85]
</think>

<response>-99, -32, 85</response>


input: Sort these integers -8, 96, 47, 44, -23, 60, -4, 81 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-8, 96, 47, 44, -23, 60, -4, 81]

Pass 1:
  Compare -8 and 96
  No swap needed
  Compare 96 and 47
  Swap 96 and 47
  List after swap: [-8, 47, 96, 44, -23, 60, -4, 81]
  Compare 96 and 44
  Swap 96 and 44
  List after swap: [-8, 47, 44, 96, -23, 60, -4, 81]
  Compare 96 and -23
  Swap 96 and -23
  List after swap: [-8, 47, 44, -23, 96, 60, -4, 81]
  Compare 96 and 60
  Swap 96 and 60
  List after swap: [-8, 47, 44, -23, 60, 96, -4, 81]
  Compare 96 and -4
  Swap 96 and -4
  List after swap: [-8, 47, 44, -23, 60, -4, 96, 81]
  Compare 96 and 81
  Swap 96 and 81
  List after swap: [-8, 47, 44, -23, 60, -4, 81, 96]

Pass 2:
  Compare -8 and 47
  No swap needed
  Compare 47 and 44
  Swap 47 and 44
  List after swap: [-8, 44, 47, -23, 60, -4, 81, 96]
  Compare 47 and -23
  Swap 47 and -23
  List after swap: [-8, 44, -23, 47, 60, -4, 81, 96]
  Compare 47 and 60
  No swap needed
  Compare 60 and -4
  Swap 60 and -4
  List after swap: [-8, 44, -23, 47, -4, 60, 81, 96]
  Compare 60 and 81
  No swap needed

Pass 3:
  Compare -8 and 44
  No swap needed
  Compare 44 and -23
  Swap 44 and -23
  List after swap: [-8, -23, 44, 47, -4, 60, 81, 96]
  Compare 44 and 47
  No swap needed
  Compare 47 and -4
  Swap 47 and -4
  List after swap: [-8, -23, 44, -4, 47, 60, 81, 96]
  Compare 47 and 60
  No swap needed

Pass 4:
  Compare -8 and -23
  Swap -8 and -23
  List after swap: [-23, -8, 44, -4, 47, 60, 81, 96]
  Compare -8 and 44
  No swap needed
  Compare 44 and -4
  Swap 44 and -4
  List after swap: [-23, -8, -4, 44, 47, 60, 81, 96]
  Compare 44 and 47
  No swap needed

Pass 5:
  Compare -23 and -8
  No swap needed
  Compare -8 and -4
  No swap needed
  Compare -4 and 44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-23, -8, -4, 44, 47, 60, 81, 96]
</think>

<response>-23, -8, -4, 44, 47, 60, 81, 96</response>


input: Arrange the numbers -83, -51, 25, 60, 46, -20, 93 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-83, -51, 25, 60, 46, -20, 93]

Pass 1:
  Compare -83 and -51
  No swap needed
  Compare -51 and 25
  No swap needed
  Compare 25 and 60
  No swap needed
  Compare 60 and 46
  Swap 60 and 46
  List after swap: [-83, -51, 25, 46, 60, -20, 93]
  Compare 60 and -20
  Swap 60 and -20
  List after swap: [-83, -51, 25, 46, -20, 60, 93]
  Compare 60 and 93
  No swap needed

Pass 2:
  Compare -83 and -51
  No swap needed
  Compare -51 and 25
  No swap needed
  Compare 25 and 46
  No swap needed
  Compare 46 and -20
  Swap 46 and -20
  List after swap: [-83, -51, 25, -20, 46, 60, 93]
  Compare 46 and 60
  No swap needed

Pass 3:
  Compare -83 and -51
  No swap needed
  Compare -51 and 25
  No swap needed
  Compare 25 and -20
  Swap 25 and -20
  List after swap: [-83, -51, -20, 25, 46, 60, 93]
  Compare 25 and 46
  No swap needed

Pass 4:
  Compare -83 and -51
  No swap needed
  Compare -51 and -20
  No swap needed
  Compare -20 and 25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -51, -20, 25, 46, 60, 93]
</think>

<response>-83, -51, -20, 25, 46, 60, 93</response>


input: Demonstrate how bubble sort orders the integers -94, 43, 73, 37 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-94, 43, 73, 37]

Pass 1:
  Compare -94 and 43
  No swap needed
  Compare 43 and 73
  No swap needed
  Compare 73 and 37
  Swap 73 and 37
  List after swap: [-94, 43, 37, 73]

Pass 2:
  Compare -94 and 43
  No swap needed
  Compare 43 and 37
  Swap 43 and 37
  List after swap: [-94, 37, 43, 73]

Pass 3:
  Compare -94 and 37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, 37, 43, 73]
</think>

<response>-94, 37, 43, 73</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -28, 20, -99, 82, 36, -93, -32.

output:
<think>
Initial list: [-28, 20, -99, 82, 36, -93, -32]

Pass 1:
  Compare -28 and 20
  No swap needed
  Compare 20 and -99
  Swap 20 and -99
  List after swap: [-28, -99, 20, 82, 36, -93, -32]
  Compare 20 and 82
  No swap needed
  Compare 82 and 36
  Swap 82 and 36
  List after swap: [-28, -99, 20, 36, 82, -93, -32]
  Compare 82 and -93
  Swap 82 and -93
  List after swap: [-28, -99, 20, 36, -93, 82, -32]
  Compare 82 and -32
  Swap 82 and -32
  List after swap: [-28, -99, 20, 36, -93, -32, 82]

Pass 2:
  Compare -28 and -99
  Swap -28 and -99
  List after swap: [-99, -28, 20, 36, -93, -32, 82]
  Compare -28 and 20
  No swap needed
  Compare 20 and 36
  No swap needed
  Compare 36 and -93
  Swap 36 and -93
  List after swap: [-99, -28, 20, -93, 36, -32, 82]
  Compare 36 and -32
  Swap 36 and -32
  List after swap: [-99, -28, 20, -93, -32, 36, 82]

Pass 3:
  Compare -99 and -28
  No swap needed
  Compare -28 and 20
  No swap needed
  Compare 20 and -93
  Swap 20 and -93
  List after swap: [-99, -28, -93, 20, -32, 36, 82]
  Compare 20 and -32
  Swap 20 and -32
  List after swap: [-99, -28, -93, -32, 20, 36, 82]

Pass 4:
  Compare -99 and -28
  No swap needed
  Compare -28 and -93
  Swap -28 and -93
  List after swap: [-99, -93, -28, -32, 20, 36, 82]
  Compare -28 and -32
  Swap -28 and -32
  List after swap: [-99, -93, -32, -28, 20, 36, 82]

Pass 5:
  Compare -99 and -93
  No swap needed
  Compare -93 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -93, -32, -28, 20, 36, 82]
</think>

<response>-99, -93, -32, -28, 20, 36, 82</response>


input: Execute bubble sort to sort 42, -74 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [42, -74]

Pass 1:
  Compare 42 and -74
  Swap 42 and -74
  List after swap: [-74, 42]

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

Final sorted list: [-74, 42]
</think>

<response>-74, 42</response>


input: Carry out the bubble sort algorithm on -60, -54, 2, -72, -12, 91 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-60, -54, 2, -72, -12, 91]

Pass 1:
  Compare -60 and -54
  No swap needed
  Compare -54 and 2
  No swap needed
  Compare 2 and -72
  Swap 2 and -72
  List after swap: [-60, -54, -72, 2, -12, 91]
  Compare 2 and -12
  Swap 2 and -12
  List after swap: [-60, -54, -72, -12, 2, 91]
  Compare 2 and 91
  No swap needed

Pass 2:
  Compare -60 and -54
  No swap needed
  Compare -54 and -72
  Swap -54 and -72
  List after swap: [-60, -72, -54, -12, 2, 91]
  Compare -54 and -12
  No swap needed
  Compare -12 and 2
  No swap needed

Pass 3:
  Compare -60 and -72
  Swap -60 and -72
  List after swap: [-72, -60, -54, -12, 2, 91]
  Compare -60 and -54
  No swap needed
  Compare -54 and -12
  No swap needed

Pass 4:
  Compare -72 and -60
  No swap needed
  Compare -60 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -60, -54, -12, 2, 91]
</think>

<response>-72, -60, -54, -12, 2, 91</response>


input: Execute bubble sort to sort 67, -38, 76, -48, 43, 72, -35, 82, -93 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [67, -38, 76, -48, 43, 72, -35, 82, -93]

Pass 1:
  Compare 67 and -38
  Swap 67 and -38
  List after swap: [-38, 67, 76, -48, 43, 72, -35, 82, -93]
  Compare 67 and 76
  No swap needed
  Compare 76 and -48
  Swap 76 and -48
  List after swap: [-38, 67, -48, 76, 43, 72, -35, 82, -93]
  Compare 76 and 43
  Swap 76 and 43
  List after swap: [-38, 67, -48, 43, 76, 72, -35, 82, -93]
  Compare 76 and 72
  Swap 76 and 72
  List after swap: [-38, 67, -48, 43, 72, 76, -35, 82, -93]
  Compare 76 and -35
  Swap 76 and -35
  List after swap: [-38, 67, -48, 43, 72, -35, 76, 82, -93]
  Compare 76 and 82
  No swap needed
  Compare 82 and -93
  Swap 82 and -93
  List after swap: [-38, 67, -48, 43, 72, -35, 76, -93, 82]

Pass 2:
  Compare -38 and 67
  No swap needed
  Compare 67 and -48
  Swap 67 and -48
  List after swap: [-38, -48, 67, 43, 72, -35, 76, -93, 82]
  Compare 67 and 43
  Swap 67 and 43
  List after swap: [-38, -48, 43, 67, 72, -35, 76, -93, 82]
  Compare 67 and 72
  No swap needed
  Compare 72 and -35
  Swap 72 and -35
  List after swap: [-38, -48, 43, 67, -35, 72, 76, -93, 82]
  Compare 72 and 76
  No swap needed
  Compare 76 and -93
  Swap 76 and -93
  List after swap: [-38, -48, 43, 67, -35, 72, -93, 76, 82]

Pass 3:
  Compare -38 and -48
  Swap -38 and -48
  List after swap: [-48, -38, 43, 67, -35, 72, -93, 76, 82]
  Compare -38 and 43
  No swap needed
  Compare 43 and 67
  No swap needed
  Compare 67 and -35
  Swap 67 and -35
  List after swap: [-48, -38, 43, -35, 67, 72, -93, 76, 82]
  Compare 67 and 72
  No swap needed
  Compare 72 and -93
  Swap 72 and -93
  List after swap: [-48, -38, 43, -35, 67, -93, 72, 76, 82]

Pass 4:
  Compare -48 and -38
  No swap needed
  Compare -38 and 43
  No swap needed
  Compare 43 and -35
  Swap 43 and -35
  List after swap: [-48, -38, -35, 43, 67, -93, 72, 76, 82]
  Compare 43 and 67
  No swap needed
  Compare 67 and -93
  Swap 67 and -93
  List after swap: [-48, -38, -35, 43, -93, 67, 72, 76, 82]

Pass 5:
  Compare -48 and -38
  No swap needed
  Compare -38 and -35
  No swap needed
  Compare -35 and 43
  No swap needed
  Compare 43 and -93
  Swap 43 and -93
  List after swap: [-48, -38, -35, -93, 43, 67, 72, 76, 82]

Pass 6:
  Compare -48 and -38
  No swap needed
  Compare -38 and -35
  No swap needed
  Compare -35 and -93
  Swap -35 and -93
  List after swap: [-48, -38, -93, -35, 43, 67, 72, 76, 82]

Pass 7:
  Compare -48 and -38
  No swap needed
  Compare -38 and -93
  Swap -38 and -93
  List after swap: [-48, -93, -38, -35, 43, 67, 72, 76, 82]

Pass 8:
  Compare -48 and -93
  Swap -48 and -93
  List after swap: [-93, -48, -38, -35, 43, 67, 72, 76, 82]

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

Final sorted list: [-93, -48, -38, -35, 43, 67, 72, 76, 82]
</think>

<response>-93, -48, -38, -35, 43, 67, 72, 76, 82</response>


input: Perform a bubble sort on the integers -87, -50, 17, 89, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-87, -50, 17, 89]

Pass 1:
  Compare -87 and -50
  No swap needed
  Compare -50 and 17
  No swap needed
  Compare 17 and 89
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -50, 17, 89]
</think>

<response>-87, -50, 17, 89</response>


input: Arrange the numbers 42, 66, -37, -50, 85, -23, -35, -96 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [42, 66, -37, -50, 85, -23, -35, -96]

Pass 1:
  Compare 42 and 66
  No swap needed
  Compare 66 and -37
  Swap 66 and -37
  List after swap: [42, -37, 66, -50, 85, -23, -35, -96]
  Compare 66 and -50
  Swap 66 and -50
  List after swap: [42, -37, -50, 66, 85, -23, -35, -96]
  Compare 66 and 85
  No swap needed
  Compare 85 and -23
  Swap 85 and -23
  List after swap: [42, -37, -50, 66, -23, 85, -35, -96]
  Compare 85 and -35
  Swap 85 and -35
  List after swap: [42, -37, -50, 66, -23, -35, 85, -96]
  Compare 85 and -96
  Swap 85 and -96
  List after swap: [42, -37, -50, 66, -23, -35, -96, 85]

Pass 2:
  Compare 42 and -37
  Swap 42 and -37
  List after swap: [-37, 42, -50, 66, -23, -35, -96, 85]
  Compare 42 and -50
  Swap 42 and -50
  List after swap: [-37, -50, 42, 66, -23, -35, -96, 85]
  Compare 42 and 66
  No swap needed
  Compare 66 and -23
  Swap 66 and -23
  List after swap: [-37, -50, 42, -23, 66, -35, -96, 85]
  Compare 66 and -35
  Swap 66 and -35
  List after swap: [-37, -50, 42, -23, -35, 66, -96, 85]
  Compare 66 and -96
  Swap 66 and -96
  List after swap: [-37, -50, 42, -23, -35, -96, 66, 85]

Pass 3:
  Compare -37 and -50
  Swap -37 and -50
  List after swap: [-50, -37, 42, -23, -35, -96, 66, 85]
  Compare -37 and 42
  No swap needed
  Compare 42 and -23
  Swap 42 and -23
  List after swap: [-50, -37, -23, 42, -35, -96, 66, 85]
  Compare 42 and -35
  Swap 42 and -35
  List after swap: [-50, -37, -23, -35, 42, -96, 66, 85]
  Compare 42 and -96
  Swap 42 and -96
  List after swap: [-50, -37, -23, -35, -96, 42, 66, 85]

Pass 4:
  Compare -50 and -37
  No swap needed
  Compare -37 and -23
  No swap needed
  Compare -23 and -35
  Swap -23 and -35
  List after swap: [-50, -37, -35, -23, -96, 42, 66, 85]
  Compare -23 and -96
  Swap -23 and -96
  List after swap: [-50, -37, -35, -96, -23, 42, 66, 85]

Pass 5:
  Compare -50 and -37
  No swap needed
  Compare -37 and -35
  No swap needed
  Compare -35 and -96
  Swap -35 and -96
  List after swap: [-50, -37, -96, -35, -23, 42, 66, 85]

Pass 6:
  Compare -50 and -37
  No swap needed
  Compare -37 and -96
  Swap -37 and -96
  List after swap: [-50, -96, -37, -35, -23, 42, 66, 85]

Pass 7:
  Compare -50 and -96
  Swap -50 and -96
  List after swap: [-96, -50, -37, -35, -23, 42, 66, 85]

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

Final sorted list: [-96, -50, -37, -35, -23, 42, 66, 85]
</think>

<response>-96, -50, -37, -35, -23, 42, 66, 85</response>


input: Demonstrate how bubble sort orders the integers 78, 20, -45, 74, 91, 43 in ascending sequence, showing all steps.

output:
<think>
Initial list: [78, 20, -45, 74, 91, 43]

Pass 1:
  Compare 78 and 20
  Swap 78 and 20
  List after swap: [20, 78, -45, 74, 91, 43]
  Compare 78 and -45
  Swap 78 and -45
  List after swap: [20, -45, 78, 74, 91, 43]
  Compare 78 and 74
  Swap 78 and 74
  List after swap: [20, -45, 74, 78, 91, 43]
  Compare 78 and 91
  No swap needed
  Compare 91 and 43
  Swap 91 and 43
  List after swap: [20, -45, 74, 78, 43, 91]

Pass 2:
  Compare 20 and -45
  Swap 20 and -45
  List after swap: [-45, 20, 74, 78, 43, 91]
  Compare 20 and 74
  No swap needed
  Compare 74 and 78
  No swap needed
  Compare 78 and 43
  Swap 78 and 43
  List after swap: [-45, 20, 74, 43, 78, 91]

Pass 3:
  Compare -45 and 20
  No swap needed
  Compare 20 and 74
  No swap needed
  Compare 74 and 43
  Swap 74 and 43
  List after swap: [-45, 20, 43, 74, 78, 91]

Pass 4:
  Compare -45 and 20
  No swap needed
  Compare 20 and 43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-45, 20, 43, 74, 78, 91]
</think>

<response>-45, 20, 43, 74, 78, 91</response>


input: Demonstrate how bubble sort orders the integers -14, -21, 87, 55, -77, 42, -12, -3, -99 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-14, -21, 87, 55, -77, 42, -12, -3, -99]

Pass 1:
  Compare -14 and -21
  Swap -14 and -21
  List after swap: [-21, -14, 87, 55, -77, 42, -12, -3, -99]
  Compare -14 and 87
  No swap needed
  Compare 87 and 55
  Swap 87 and 55
  List after swap: [-21, -14, 55, 87, -77, 42, -12, -3, -99]
  Compare 87 and -77
  Swap 87 and -77
  List after swap: [-21, -14, 55, -77, 87, 42, -12, -3, -99]
  Compare 87 and 42
  Swap 87 and 42
  List after swap: [-21, -14, 55, -77, 42, 87, -12, -3, -99]
  Compare 87 and -12
  Swap 87 and -12
  List after swap: [-21, -14, 55, -77, 42, -12, 87, -3, -99]
  Compare 87 and -3
  Swap 87 and -3
  List after swap: [-21, -14, 55, -77, 42, -12, -3, 87, -99]
  Compare 87 and -99
  Swap 87 and -99
  List after swap: [-21, -14, 55, -77, 42, -12, -3, -99, 87]

Pass 2:
  Compare -21 and -14
  No swap needed
  Compare -14 and 55
  No swap needed
  Compare 55 and -77
  Swap 55 and -77
  List after swap: [-21, -14, -77, 55, 42, -12, -3, -99, 87]
  Compare 55 and 42
  Swap 55 and 42
  List after swap: [-21, -14, -77, 42, 55, -12, -3, -99, 87]
  Compare 55 and -12
  Swap 55 and -12
  List after swap: [-21, -14, -77, 42, -12, 55, -3, -99, 87]
  Compare 55 and -3
  Swap 55 and -3
  List after swap: [-21, -14, -77, 42, -12, -3, 55, -99, 87]
  Compare 55 and -99
  Swap 55 and -99
  List after swap: [-21, -14, -77, 42, -12, -3, -99, 55, 87]

Pass 3:
  Compare -21 and -14
  No swap needed
  Compare -14 and -77
  Swap -14 and -77
  List after swap: [-21, -77, -14, 42, -12, -3, -99, 55, 87]
  Compare -14 and 42
  No swap needed
  Compare 42 and -12
  Swap 42 and -12
  List after swap: [-21, -77, -14, -12, 42, -3, -99, 55, 87]
  Compare 42 and -3
  Swap 42 and -3
  List after swap: [-21, -77, -14, -12, -3, 42, -99, 55, 87]
  Compare 42 and -99
  Swap 42 and -99
  List after swap: [-21, -77, -14, -12, -3, -99, 42, 55, 87]

Pass 4:
  Compare -21 and -77
  Swap -21 and -77
  List after swap: [-77, -21, -14, -12, -3, -99, 42, 55, 87]
  Compare -21 and -14
  No swap needed
  Compare -14 and -12
  No swap needed
  Compare -12 and -3
  No swap needed
  Compare -3 and -99
  Swap -3 and -99
  List after swap: [-77, -21, -14, -12, -99, -3, 42, 55, 87]

Pass 5:
  Compare -77 and -21
  No swap needed
  Compare -21 and -14
  No swap needed
  Compare -14 and -12
  No swap needed
  Compare -12 and -99
  Swap -12 and -99
  List after swap: [-77, -21, -14, -99, -12, -3, 42, 55, 87]

Pass 6:
  Compare -77 and -21
  No swap needed
  Compare -21 and -14
  No swap needed
  Compare -14 and -99
  Swap -14 and -99
  List after swap: [-77, -21, -99, -14, -12, -3, 42, 55, 87]

Pass 7:
  Compare -77 and -21
  No swap needed
  Compare -21 and -99
  Swap -21 and -99
  List after swap: [-77, -99, -21, -14, -12, -3, 42, 55, 87]

Pass 8:
  Compare -77 and -99
  Swap -77 and -99
  List after swap: [-99, -77, -21, -14, -12, -3, 42, 55, 87]

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

Final sorted list: [-99, -77, -21, -14, -12, -3, 42, 55, 87]
</think>

<response>-99, -77, -21, -14, -12, -3, 42, 55, 87</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -59, 79, 35, 49, -55, -43, 29, -69, -53.

output:
<think>
Initial list: [-59, 79, 35, 49, -55, -43, 29, -69, -53]

Pass 1:
  Compare -59 and 79
  No swap needed
  Compare 79 and 35
  Swap 79 and 35
  List after swap: [-59, 35, 79, 49, -55, -43, 29, -69, -53]
  Compare 79 and 49
  Swap 79 and 49
  List after swap: [-59, 35, 49, 79, -55, -43, 29, -69, -53]
  Compare 79 and -55
  Swap 79 and -55
  List after swap: [-59, 35, 49, -55, 79, -43, 29, -69, -53]
  Compare 79 and -43
  Swap 79 and -43
  List after swap: [-59, 35, 49, -55, -43, 79, 29, -69, -53]
  Compare 79 and 29
  Swap 79 and 29
  List after swap: [-59, 35, 49, -55, -43, 29, 79, -69, -53]
  Compare 79 and -69
  Swap 79 and -69
  List after swap: [-59, 35, 49, -55, -43, 29, -69, 79, -53]
  Compare 79 and -53
  Swap 79 and -53
  List after swap: [-59, 35, 49, -55, -43, 29, -69, -53, 79]

Pass 2:
  Compare -59 and 35
  No swap needed
  Compare 35 and 49
  No swap needed
  Compare 49 and -55
  Swap 49 and -55
  List after swap: [-59, 35, -55, 49, -43, 29, -69, -53, 79]
  Compare 49 and -43
  Swap 49 and -43
  List after swap: [-59, 35, -55, -43, 49, 29, -69, -53, 79]
  Compare 49 and 29
  Swap 49 and 29
  List after swap: [-59, 35, -55, -43, 29, 49, -69, -53, 79]
  Compare 49 and -69
  Swap 49 and -69
  List after swap: [-59, 35, -55, -43, 29, -69, 49, -53, 79]
  Compare 49 and -53
  Swap 49 and -53
  List after swap: [-59, 35, -55, -43, 29, -69, -53, 49, 79]

Pass 3:
  Compare -59 and 35
  No swap needed
  Compare 35 and -55
  Swap 35 and -55
  List after swap: [-59, -55, 35, -43, 29, -69, -53, 49, 79]
  Compare 35 and -43
  Swap 35 and -43
  List after swap: [-59, -55, -43, 35, 29, -69, -53, 49, 79]
  Compare 35 and 29
  Swap 35 and 29
  List after swap: [-59, -55, -43, 29, 35, -69, -53, 49, 79]
  Compare 35 and -69
  Swap 35 and -69
  List after swap: [-59, -55, -43, 29, -69, 35, -53, 49, 79]
  Compare 35 and -53
  Swap 35 and -53
  List after swap: [-59, -55, -43, 29, -69, -53, 35, 49, 79]

Pass 4:
  Compare -59 and -55
  No swap needed
  Compare -55 and -43
  No swap needed
  Compare -43 and 29
  No swap needed
  Compare 29 and -69
  Swap 29 and -69
  List after swap: [-59, -55, -43, -69, 29, -53, 35, 49, 79]
  Compare 29 and -53
  Swap 29 and -53
  List after swap: [-59, -55, -43, -69, -53, 29, 35, 49, 79]

Pass 5:
  Compare -59 and -55
  No swap needed
  Compare -55 and -43
  No swap needed
  Compare -43 and -69
  Swap -43 and -69
  List after swap: [-59, -55, -69, -43, -53, 29, 35, 49, 79]
  Compare -43 and -53
  Swap -43 and -53
  List after swap: [-59, -55, -69, -53, -43, 29, 35, 49, 79]

Pass 6:
  Compare -59 and -55
  No swap needed
  Compare -55 and -69
  Swap -55 and -69
  List after swap: [-59, -69, -55, -53, -43, 29, 35, 49, 79]
  Compare -55 and -53
  No swap needed

Pass 7:
  Compare -59 and -69
  Swap -59 and -69
  List after swap: [-69, -59, -55, -53, -43, 29, 35, 49, 79]
  Compare -59 and -55
  No swap needed

Pass 8:
  Compare -69 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -59, -55, -53, -43, 29, 35, 49, 79]
</think>

<response>-69, -59, -55, -53, -43, 29, 35, 49, 79</response>


input: Using the bubble sort method, sort -13, 68 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-13, 68]

Pass 1:
  Compare -13 and 68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-13, 68]
</think>

<response>-13, 68</response>


input: Implement bubble sort on 82, -25, -70, -64, -71 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [82, -25, -70, -64, -71]

Pass 1:
  Compare 82 and -25
  Swap 82 and -25
  List after swap: [-25, 82, -70, -64, -71]
  Compare 82 and -70
  Swap 82 and -70
  List after swap: [-25, -70, 82, -64, -71]
  Compare 82 and -64
  Swap 82 and -64
  List after swap: [-25, -70, -64, 82, -71]
  Compare 82 and -71
  Swap 82 and -71
  List after swap: [-25, -70, -64, -71, 82]

Pass 2:
  Compare -25 and -70
  Swap -25 and -70
  List after swap: [-70, -25, -64, -71, 82]
  Compare -25 and -64
  Swap -25 and -64
  List after swap: [-70, -64, -25, -71, 82]
  Compare -25 and -71
  Swap -25 and -71
  List after swap: [-70, -64, -71, -25, 82]

Pass 3:
  Compare -70 and -64
  No swap needed
  Compare -64 and -71
  Swap -64 and -71
  List after swap: [-70, -71, -64, -25, 82]

Pass 4:
  Compare -70 and -71
  Swap -70 and -71
  List after swap: [-71, -70, -64, -25, 82]

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

Final sorted list: [-71, -70, -64, -25, 82]
</think>

<response>-71, -70, -64, -25, 82</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 14, -67, 7, 15, -74, -61, 0, -98, -86.

output:
<think>
Initial list: [14, -67, 7, 15, -74, -61, 0, -98, -86]

Pass 1:
  Compare 14 and -67
  Swap 14 and -67
  List after swap: [-67, 14, 7, 15, -74, -61, 0, -98, -86]
  Compare 14 and 7
  Swap 14 and 7
  List after swap: [-67, 7, 14, 15, -74, -61, 0, -98, -86]
  Compare 14 and 15
  No swap needed
  Compare 15 and -74
  Swap 15 and -74
  List after swap: [-67, 7, 14, -74, 15, -61, 0, -98, -86]
  Compare 15 and -61
  Swap 15 and -61
  List after swap: [-67, 7, 14, -74, -61, 15, 0, -98, -86]
  Compare 15 and 0
  Swap 15 and 0
  List after swap: [-67, 7, 14, -74, -61, 0, 15, -98, -86]
  Compare 15 and -98
  Swap 15 and -98
  List after swap: [-67, 7, 14, -74, -61, 0, -98, 15, -86]
  Compare 15 and -86
  Swap 15 and -86
  List after swap: [-67, 7, 14, -74, -61, 0, -98, -86, 15]

Pass 2:
  Compare -67 and 7
  No swap needed
  Compare 7 and 14
  No swap needed
  Compare 14 and -74
  Swap 14 and -74
  List after swap: [-67, 7, -74, 14, -61, 0, -98, -86, 15]
  Compare 14 and -61
  Swap 14 and -61
  List after swap: [-67, 7, -74, -61, 14, 0, -98, -86, 15]
  Compare 14 and 0
  Swap 14 and 0
  List after swap: [-67, 7, -74, -61, 0, 14, -98, -86, 15]
  Compare 14 and -98
  Swap 14 and -98
  List after swap: [-67, 7, -74, -61, 0, -98, 14, -86, 15]
  Compare 14 and -86
  Swap 14 and -86
  List after swap: [-67, 7, -74, -61, 0, -98, -86, 14, 15]

Pass 3:
  Compare -67 and 7
  No swap needed
  Compare 7 and -74
  Swap 7 and -74
  List after swap: [-67, -74, 7, -61, 0, -98, -86, 14, 15]
  Compare 7 and -61
  Swap 7 and -61
  List after swap: [-67, -74, -61, 7, 0, -98, -86, 14, 15]
  Compare 7 and 0
  Swap 7 and 0
  List after swap: [-67, -74, -61, 0, 7, -98, -86, 14, 15]
  Compare 7 and -98
  Swap 7 and -98
  List after swap: [-67, -74, -61, 0, -98, 7, -86, 14, 15]
  Compare 7 and -86
  Swap 7 and -86
  List after swap: [-67, -74, -61, 0, -98, -86, 7, 14, 15]

Pass 4:
  Compare -67 and -74
  Swap -67 and -74
  List after swap: [-74, -67, -61, 0, -98, -86, 7, 14, 15]
  Compare -67 and -61
  No swap needed
  Compare -61 and 0
  No swap needed
  Compare 0 and -98
  Swap 0 and -98
  List after swap: [-74, -67, -61, -98, 0, -86, 7, 14, 15]
  Compare 0 and -86
  Swap 0 and -86
  List after swap: [-74, -67, -61, -98, -86, 0, 7, 14, 15]

Pass 5:
  Compare -74 and -67
  No swap needed
  Compare -67 and -61
  No swap needed
  Compare -61 and -98
  Swap -61 and -98
  List after swap: [-74, -67, -98, -61, -86, 0, 7, 14, 15]
  Compare -61 and -86
  Swap -61 and -86
  List after swap: [-74, -67, -98, -86, -61, 0, 7, 14, 15]

Pass 6:
  Compare -74 and -67
  No swap needed
  Compare -67 and -98
  Swap -67 and -98
  List after swap: [-74, -98, -67, -86, -61, 0, 7, 14, 15]
  Compare -67 and -86
  Swap -67 and -86
  List after swap: [-74, -98, -86, -67, -61, 0, 7, 14, 15]

Pass 7:
  Compare -74 and -98
  Swap -74 and -98
  List after swap: [-98, -74, -86, -67, -61, 0, 7, 14, 15]
  Compare -74 and -86
  Swap -74 and -86
  List after swap: [-98, -86, -74, -67, -61, 0, 7, 14, 15]

Pass 8:
  Compare -98 and -86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -86, -74, -67, -61, 0, 7, 14, 15]
</think>

<response>-98, -86, -74, -67, -61, 0, 7, 14, 15</response>


input: Perform a bubble sort on the integers 90, 49, -34, 94, 18, -94, 89, -58, 93, -8, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [90, 49, -34, 94, 18, -94, 89, -58, 93, -8]

Pass 1:
  Compare 90 and 49
  Swap 90 and 49
  List after swap: [49, 90, -34, 94, 18, -94, 89, -58, 93, -8]
  Compare 90 and -34
  Swap 90 and -34
  List after swap: [49, -34, 90, 94, 18, -94, 89, -58, 93, -8]
  Compare 90 and 94
  No swap needed
  Compare 94 and 18
  Swap 94 and 18
  List after swap: [49, -34, 90, 18, 94, -94, 89, -58, 93, -8]
  Compare 94 and -94
  Swap 94 and -94
  List after swap: [49, -34, 90, 18, -94, 94, 89, -58, 93, -8]
  Compare 94 and 89
  Swap 94 and 89
  List after swap: [49, -34, 90, 18, -94, 89, 94, -58, 93, -8]
  Compare 94 and -58
  Swap 94 and -58
  List after swap: [49, -34, 90, 18, -94, 89, -58, 94, 93, -8]
  Compare 94 and 93
  Swap 94 and 93
  List after swap: [49, -34, 90, 18, -94, 89, -58, 93, 94, -8]
  Compare 94 and -8
  Swap 94 and -8
  List after swap: [49, -34, 90, 18, -94, 89, -58, 93, -8, 94]

Pass 2:
  Compare 49 and -34
  Swap 49 and -34
  List after swap: [-34, 49, 90, 18, -94, 89, -58, 93, -8, 94]
  Compare 49 and 90
  No swap needed
  Compare 90 and 18
  Swap 90 and 18
  List after swap: [-34, 49, 18, 90, -94, 89, -58, 93, -8, 94]
  Compare 90 and -94
  Swap 90 and -94
  List after swap: [-34, 49, 18, -94, 90, 89, -58, 93, -8, 94]
  Compare 90 and 89
  Swap 90 and 89
  List after swap: [-34, 49, 18, -94, 89, 90, -58, 93, -8, 94]
  Compare 90 and -58
  Swap 90 and -58
  List after swap: [-34, 49, 18, -94, 89, -58, 90, 93, -8, 94]
  Compare 90 and 93
  No swap needed
  Compare 93 and -8
  Swap 93 and -8
  List after swap: [-34, 49, 18, -94, 89, -58, 90, -8, 93, 94]

Pass 3:
  Compare -34 and 49
  No swap needed
  Compare 49 and 18
  Swap 49 and 18
  List after swap: [-34, 18, 49, -94, 89, -58, 90, -8, 93, 94]
  Compare 49 and -94
  Swap 49 and -94
  List after swap: [-34, 18, -94, 49, 89, -58, 90, -8, 93, 94]
  Compare 49 and 89
  No swap needed
  Compare 89 and -58
  Swap 89 and -58
  List after swap: [-34, 18, -94, 49, -58, 89, 90, -8, 93, 94]
  Compare 89 and 90
  No swap needed
  Compare 90 and -8
  Swap 90 and -8
  List after swap: [-34, 18, -94, 49, -58, 89, -8, 90, 93, 94]

Pass 4:
  Compare -34 and 18
  No swap needed
  Compare 18 and -94
  Swap 18 and -94
  List after swap: [-34, -94, 18, 49, -58, 89, -8, 90, 93, 94]
  Compare 18 and 49
  No swap needed
  Compare 49 and -58
  Swap 49 and -58
  List after swap: [-34, -94, 18, -58, 49, 89, -8, 90, 93, 94]
  Compare 49 and 89
  No swap needed
  Compare 89 and -8
  Swap 89 and -8
  List after swap: [-34, -94, 18, -58, 49, -8, 89, 90, 93, 94]

Pass 5:
  Compare -34 and -94
  Swap -34 and -94
  List after swap: [-94, -34, 18, -58, 49, -8, 89, 90, 93, 94]
  Compare -34 and 18
  No swap needed
  Compare 18 and -58
  Swap 18 and -58
  List after swap: [-94, -34, -58, 18, 49, -8, 89, 90, 93, 94]
  Compare 18 and 49
  No swap needed
  Compare 49 and -8
  Swap 49 and -8
  List after swap: [-94, -34, -58, 18, -8, 49, 89, 90, 93, 94]

Pass 6:
  Compare -94 and -34
  No swap needed
  Compare -34 and -58
  Swap -34 and -58
  List after swap: [-94, -58, -34, 18, -8, 49, 89, 90, 93, 94]
  Compare -34 and 18
  No swap needed
  Compare 18 and -8
  Swap 18 and -8
  List after swap: [-94, -58, -34, -8, 18, 49, 89, 90, 93, 94]

Pass 7:
  Compare -94 and -58
  No swap needed
  Compare -58 and -34
  No swap needed
  Compare -34 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -58, -34, -8, 18, 49, 89, 90, 93, 94]
</think>

<response>-94, -58, -34, -8, 18, 49, 89, 90, 93, 94</response>


input: Demonstrate how bubble sort orders the integers 99, -15, -48, 37, 25 in ascending sequence, showing all steps.

output:
<think>
Initial list: [99, -15, -48, 37, 25]

Pass 1:
  Compare 99 and -15
  Swap 99 and -15
  List after swap: [-15, 99, -48, 37, 25]
  Compare 99 and -48
  Swap 99 and -48
  List after swap: [-15, -48, 99, 37, 25]
  Compare 99 and 37
  Swap 99 and 37
  List after swap: [-15, -48, 37, 99, 25]
  Compare 99 and 25
  Swap 99 and 25
  List after swap: [-15, -48, 37, 25, 99]

Pass 2:
  Compare -15 and -48
  Swap -15 and -48
  List after swap: [-48, -15, 37, 25, 99]
  Compare -15 and 37
  No swap needed
  Compare 37 and 25
  Swap 37 and 25
  List after swap: [-48, -15, 25, 37, 99]

Pass 3:
  Compare -48 and -15
  No swap needed
  Compare -15 and 25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-48, -15, 25, 37, 99]
</think>

<response>-48, -15, 25, 37, 99</response>


input: Perform a bubble sort on the integers 20, -2, 70, -89, -59, -33, 31, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [20, -2, 70, -89, -59, -33, 31]

Pass 1:
  Compare 20 and -2
  Swap 20 and -2
  List after swap: [-2, 20, 70, -89, -59, -33, 31]
  Compare 20 and 70
  No swap needed
  Compare 70 and -89
  Swap 70 and -89
  List after swap: [-2, 20, -89, 70, -59, -33, 31]
  Compare 70 and -59
  Swap 70 and -59
  List after swap: [-2, 20, -89, -59, 70, -33, 31]
  Compare 70 and -33
  Swap 70 and -33
  List after swap: [-2, 20, -89, -59, -33, 70, 31]
  Compare 70 and 31
  Swap 70 and 31
  List after swap: [-2, 20, -89, -59, -33, 31, 70]

Pass 2:
  Compare -2 and 20
  No swap needed
  Compare 20 and -89
  Swap 20 and -89
  List after swap: [-2, -89, 20, -59, -33, 31, 70]
  Compare 20 and -59
  Swap 20 and -59
  List after swap: [-2, -89, -59, 20, -33, 31, 70]
  Compare 20 and -33
  Swap 20 and -33
  List after swap: [-2, -89, -59, -33, 20, 31, 70]
  Compare 20 and 31
  No swap needed

Pass 3:
  Compare -2 and -89
  Swap -2 and -89
  List after swap: [-89, -2, -59, -33, 20, 31, 70]
  Compare -2 and -59
  Swap -2 and -59
  List after swap: [-89, -59, -2, -33, 20, 31, 70]
  Compare -2 and -33
  Swap -2 and -33
  List after swap: [-89, -59, -33, -2, 20, 31, 70]
  Compare -2 and 20
  No swap needed

Pass 4:
  Compare -89 and -59
  No swap needed
  Compare -59 and -33
  No swap needed
  Compare -33 and -2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -59, -33, -2, 20, 31, 70]
</think>

<response>-89, -59, -33, -2, 20, 31, 70</response>


input: Perform a bubble sort on the integers -92, 12, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-92, 12]

Pass 1:
  Compare -92 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, 12]
</think>

<response>-92, 12</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 45, 52, 25.

output:
<think>
Initial list: [45, 52, 25]

Pass 1:
  Compare 45 and 52
  No swap needed
  Compare 52 and 25
  Swap 52 and 25
  List after swap: [45, 25, 52]

Pass 2:
  Compare 45 and 25
  Swap 45 and 25
  List after swap: [25, 45, 52]

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

Final sorted list: [25, 45, 52]
</think>

<response>25, 45, 52</response>


input: Carry out the bubble sort algorithm on 50, 71, 76, -58, 42, -21, 61 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [50, 71, 76, -58, 42, -21, 61]

Pass 1:
  Compare 50 and 71
  No swap needed
  Compare 71 and 76
  No swap needed
  Compare 76 and -58
  Swap 76 and -58
  List after swap: [50, 71, -58, 76, 42, -21, 61]
  Compare 76 and 42
  Swap 76 and 42
  List after swap: [50, 71, -58, 42, 76, -21, 61]
  Compare 76 and -21
  Swap 76 and -21
  List after swap: [50, 71, -58, 42, -21, 76, 61]
  Compare 76 and 61
  Swap 76 and 61
  List after swap: [50, 71, -58, 42, -21, 61, 76]

Pass 2:
  Compare 50 and 71
  No swap needed
  Compare 71 and -58
  Swap 71 and -58
  List after swap: [50, -58, 71, 42, -21, 61, 76]
  Compare 71 and 42
  Swap 71 and 42
  List after swap: [50, -58, 42, 71, -21, 61, 76]
  Compare 71 and -21
  Swap 71 and -21
  List after swap: [50, -58, 42, -21, 71, 61, 76]
  Compare 71 and 61
  Swap 71 and 61
  List after swap: [50, -58, 42, -21, 61, 71, 76]

Pass 3:
  Compare 50 and -58
  Swap 50 and -58
  List after swap: [-58, 50, 42, -21, 61, 71, 76]
  Compare 50 and 42
  Swap 50 and 42
  List after swap: [-58, 42, 50, -21, 61, 71, 76]
  Compare 50 and -21
  Swap 50 and -21
  List after swap: [-58, 42, -21, 50, 61, 71, 76]
  Compare 50 and 61
  No swap needed

Pass 4:
  Compare -58 and 42
  No swap needed
  Compare 42 and -21
  Swap 42 and -21
  List after swap: [-58, -21, 42, 50, 61, 71, 76]
  Compare 42 and 50
  No swap needed

Pass 5:
  Compare -58 and -21
  No swap needed
  Compare -21 and 42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -21, 42, 50, 61, 71, 76]
</think>

<response>-58, -21, 42, 50, 61, 71, 76</response>


input: Perform a bubble sort on the integers -33, 38, -36, -20, 79, 22, 23, 45, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-33, 38, -36, -20, 79, 22, 23, 45]

Pass 1:
  Compare -33 and 38
  No swap needed
  Compare 38 and -36
  Swap 38 and -36
  List after swap: [-33, -36, 38, -20, 79, 22, 23, 45]
  Compare 38 and -20
  Swap 38 and -20
  List after swap: [-33, -36, -20, 38, 79, 22, 23, 45]
  Compare 38 and 79
  No swap needed
  Compare 79 and 22
  Swap 79 and 22
  List after swap: [-33, -36, -20, 38, 22, 79, 23, 45]
  Compare 79 and 23
  Swap 79 and 23
  List after swap: [-33, -36, -20, 38, 22, 23, 79, 45]
  Compare 79 and 45
  Swap 79 and 45
  List after swap: [-33, -36, -20, 38, 22, 23, 45, 79]

Pass 2:
  Compare -33 and -36
  Swap -33 and -36
  List after swap: [-36, -33, -20, 38, 22, 23, 45, 79]
  Compare -33 and -20
  No swap needed
  Compare -20 and 38
  No swap needed
  Compare 38 and 22
  Swap 38 and 22
  List after swap: [-36, -33, -20, 22, 38, 23, 45, 79]
  Compare 38 and 23
  Swap 38 and 23
  List after swap: [-36, -33, -20, 22, 23, 38, 45, 79]
  Compare 38 and 45
  No swap needed

Pass 3:
  Compare -36 and -33
  No swap needed
  Compare -33 and -20
  No swap needed
  Compare -20 and 22
  No swap needed
  Compare 22 and 23
  No swap needed
  Compare 23 and 38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-36, -33, -20, 22, 23, 38, 45, 79]
</think>

<response>-36, -33, -20, 22, 23, 38, 45, 79</response>


input: Implement bubble sort on 25, 20, 17, -61 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [25, 20, 17, -61]

Pass 1:
  Compare 25 and 20
  Swap 25 and 20
  List after swap: [20, 25, 17, -61]
  Compare 25 and 17
  Swap 25 and 17
  List after swap: [20, 17, 25, -61]
  Compare 25 and -61
  Swap 25 and -61
  List after swap: [20, 17, -61, 25]

Pass 2:
  Compare 20 and 17
  Swap 20 and 17
  List after swap: [17, 20, -61, 25]
  Compare 20 and -61
  Swap 20 and -61
  List after swap: [17, -61, 20, 25]

Pass 3:
  Compare 17 and -61
  Swap 17 and -61
  List after swap: [-61, 17, 20, 25]

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

Final sorted list: [-61, 17, 20, 25]
</think>

<response>-61, 17, 20, 25</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -30, -53, 24, 10, -96, 1, -23, -12, 42, -42.

output:
<think>
Initial list: [-30, -53, 24, 10, -96, 1, -23, -12, 42, -42]

Pass 1:
  Compare -30 and -53
  Swap -30 and -53
  List after swap: [-53, -30, 24, 10, -96, 1, -23, -12, 42, -42]
  Compare -30 and 24
  No swap needed
  Compare 24 and 10
  Swap 24 and 10
  List after swap: [-53, -30, 10, 24, -96, 1, -23, -12, 42, -42]
  Compare 24 and -96
  Swap 24 and -96
  List after swap: [-53, -30, 10, -96, 24, 1, -23, -12, 42, -42]
  Compare 24 and 1
  Swap 24 and 1
  List after swap: [-53, -30, 10, -96, 1, 24, -23, -12, 42, -42]
  Compare 24 and -23
  Swap 24 and -23
  List after swap: [-53, -30, 10, -96, 1, -23, 24, -12, 42, -42]
  Compare 24 and -12
  Swap 24 and -12
  List after swap: [-53, -30, 10, -96, 1, -23, -12, 24, 42, -42]
  Compare 24 and 42
  No swap needed
  Compare 42 and -42
  Swap 42 and -42
  List after swap: [-53, -30, 10, -96, 1, -23, -12, 24, -42, 42]

Pass 2:
  Compare -53 and -30
  No swap needed
  Compare -30 and 10
  No swap needed
  Compare 10 and -96
  Swap 10 and -96
  List after swap: [-53, -30, -96, 10, 1, -23, -12, 24, -42, 42]
  Compare 10 and 1
  Swap 10 and 1
  List after swap: [-53, -30, -96, 1, 10, -23, -12, 24, -42, 42]
  Compare 10 and -23
  Swap 10 and -23
  List after swap: [-53, -30, -96, 1, -23, 10, -12, 24, -42, 42]
  Compare 10 and -12
  Swap 10 and -12
  List after swap: [-53, -30, -96, 1, -23, -12, 10, 24, -42, 42]
  Compare 10 and 24
  No swap needed
  Compare 24 and -42
  Swap 24 and -42
  List after swap: [-53, -30, -96, 1, -23, -12, 10, -42, 24, 42]

Pass 3:
  Compare -53 and -30
  No swap needed
  Compare -30 and -96
  Swap -30 and -96
  List after swap: [-53, -96, -30, 1, -23, -12, 10, -42, 24, 42]
  Compare -30 and 1
  No swap needed
  Compare 1 and -23
  Swap 1 and -23
  List after swap: [-53, -96, -30, -23, 1, -12, 10, -42, 24, 42]
  Compare 1 and -12
  Swap 1 and -12
  List after swap: [-53, -96, -30, -23, -12, 1, 10, -42, 24, 42]
  Compare 1 and 10
  No swap needed
  Compare 10 and -42
  Swap 10 and -42
  List after swap: [-53, -96, -30, -23, -12, 1, -42, 10, 24, 42]

Pass 4:
  Compare -53 and -96
  Swap -53 and -96
  List after swap: [-96, -53, -30, -23, -12, 1, -42, 10, 24, 42]
  Compare -53 and -30
  No swap needed
  Compare -30 and -23
  No swap needed
  Compare -23 and -12
  No swap needed
  Compare -12 and 1
  No swap needed
  Compare 1 and -42
  Swap 1 and -42
  List after swap: [-96, -53, -30, -23, -12, -42, 1, 10, 24, 42]

Pass 5:
  Compare -96 and -53
  No swap needed
  Compare -53 and -30
  No swap needed
  Compare -30 and -23
  No swap needed
  Compare -23 and -12
  No swap needed
  Compare -12 and -42
  Swap -12 and -42
  List after swap: [-96, -53, -30, -23, -42, -12, 1, 10, 24, 42]

Pass 6:
  Compare -96 and -53
  No swap needed
  Compare -53 and -30
  No swap needed
  Compare -30 and -23
  No swap needed
  Compare -23 and -42
  Swap -23 and -42
  List after swap: [-96, -53, -30, -42, -23, -12, 1, 10, 24, 42]

Pass 7:
  Compare -96 and -53
  No swap needed
  Compare -53 and -30
  No swap needed
  Compare -30 and -42
  Swap -30 and -42
  List after swap: [-96, -53, -42, -30, -23, -12, 1, 10, 24, 42]

Pass 8:
  Compare -96 and -53
  No swap needed
  Compare -53 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -53, -42, -30, -23, -12, 1, 10, 24, 42]
</think>

<response>-96, -53, -42, -30, -23, -12, 1, 10, 24, 42</response>


input: Use the bubble sort technique to reorder -65, -33, 47, -5, -53, -85, -77, 25 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-65, -33, 47, -5, -53, -85, -77, 25]

Pass 1:
  Compare -65 and -33
  No swap needed
  Compare -33 and 47
  No swap needed
  Compare 47 and -5
  Swap 47 and -5
  List after swap: [-65, -33, -5, 47, -53, -85, -77, 25]
  Compare 47 and -53
  Swap 47 and -53
  List after swap: [-65, -33, -5, -53, 47, -85, -77, 25]
  Compare 47 and -85
  Swap 47 and -85
  List after swap: [-65, -33, -5, -53, -85, 47, -77, 25]
  Compare 47 and -77
  Swap 47 and -77
  List after swap: [-65, -33, -5, -53, -85, -77, 47, 25]
  Compare 47 and 25
  Swap 47 and 25
  List after swap: [-65, -33, -5, -53, -85, -77, 25, 47]

Pass 2:
  Compare -65 and -33
  No swap needed
  Compare -33 and -5
  No swap needed
  Compare -5 and -53
  Swap -5 and -53
  List after swap: [-65, -33, -53, -5, -85, -77, 25, 47]
  Compare -5 and -85
  Swap -5 and -85
  List after swap: [-65, -33, -53, -85, -5, -77, 25, 47]
  Compare -5 and -77
  Swap -5 and -77
  List after swap: [-65, -33, -53, -85, -77, -5, 25, 47]
  Compare -5 and 25
  No swap needed

Pass 3:
  Compare -65 and -33
  No swap needed
  Compare -33 and -53
  Swap -33 and -53
  List after swap: [-65, -53, -33, -85, -77, -5, 25, 47]
  Compare -33 and -85
  Swap -33 and -85
  List after swap: [-65, -53, -85, -33, -77, -5, 25, 47]
  Compare -33 and -77
  Swap -33 and -77
  List after swap: [-65, -53, -85, -77, -33, -5, 25, 47]
  Compare -33 and -5
  No swap needed

Pass 4:
  Compare -65 and -53
  No swap needed
  Compare -53 and -85
  Swap -53 and -85
  List after swap: [-65, -85, -53, -77, -33, -5, 25, 47]
  Compare -53 and -77
  Swap -53 and -77
  List after swap: [-65, -85, -77, -53, -33, -5, 25, 47]
  Compare -53 and -33
  No swap needed

Pass 5:
  Compare -65 and -85
  Swap -65 and -85
  List after swap: [-85, -65, -77, -53, -33, -5, 25, 47]
  Compare -65 and -77
  Swap -65 and -77
  List after swap: [-85, -77, -65, -53, -33, -5, 25, 47]
  Compare -65 and -53
  No swap needed

Pass 6:
  Compare -85 and -77
  No swap needed
  Compare -77 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -77, -65, -53, -33, -5, 25, 47]
</think>

<response>-85, -77, -65, -53, -33, -5, 25, 47</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 64, -61, -13, -93.

output:
<think>
Initial list: [64, -61, -13, -93]

Pass 1:
  Compare 64 and -61
  Swap 64 and -61
  List after swap: [-61, 64, -13, -93]
  Compare 64 and -13
  Swap 64 and -13
  List after swap: [-61, -13, 64, -93]
  Compare 64 and -93
  Swap 64 and -93
  List after swap: [-61, -13, -93, 64]

Pass 2:
  Compare -61 and -13
  No swap needed
  Compare -13 and -93
  Swap -13 and -93
  List after swap: [-61, -93, -13, 64]

Pass 3:
  Compare -61 and -93
  Swap -61 and -93
  List after swap: [-93, -61, -13, 64]

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

Final sorted list: [-93, -61, -13, 64]
</think>

<response>-93, -61, -13, 64</response>


input: Sort these integers 78, 93, -33, 42, 29 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [78, 93, -33, 42, 29]

Pass 1:
  Compare 78 and 93
  No swap needed
  Compare 93 and -33
  Swap 93 and -33
  List after swap: [78, -33, 93, 42, 29]
  Compare 93 and 42
  Swap 93 and 42
  List after swap: [78, -33, 42, 93, 29]
  Compare 93 and 29
  Swap 93 and 29
  List after swap: [78, -33, 42, 29, 93]

Pass 2:
  Compare 78 and -33
  Swap 78 and -33
  List after swap: [-33, 78, 42, 29, 93]
  Compare 78 and 42
  Swap 78 and 42
  List after swap: [-33, 42, 78, 29, 93]
  Compare 78 and 29
  Swap 78 and 29
  List after swap: [-33, 42, 29, 78, 93]

Pass 3:
  Compare -33 and 42
  No swap needed
  Compare 42 and 29
  Swap 42 and 29
  List after swap: [-33, 29, 42, 78, 93]

Pass 4:
  Compare -33 and 29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-33, 29, 42, 78, 93]
</think>

<response>-33, 29, 42, 78, 93</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 17, -57, 47.

output:
<think>
Initial list: [17, -57, 47]

Pass 1:
  Compare 17 and -57
  Swap 17 and -57
  List after swap: [-57, 17, 47]
  Compare 17 and 47
  No swap needed

Pass 2:
  Compare -57 and 17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, 17, 47]
</think>

<response>-57, 17, 47</response>


input: Implement bubble sort on -43, -25, -83, 67 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-43, -25, -83, 67]

Pass 1:
  Compare -43 and -25
  No swap needed
  Compare -25 and -83
  Swap -25 and -83
  List after swap: [-43, -83, -25, 67]
  Compare -25 and 67
  No swap needed

Pass 2:
  Compare -43 and -83
  Swap -43 and -83
  List after swap: [-83, -43, -25, 67]
  Compare -43 and -25
  No swap needed

Pass 3:
  Compare -83 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -43, -25, 67]
</think>

<response>-83, -43, -25, 67</response>


input: Arrange the numbers -8, 73, -10, 45, -61, 57, 21 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-8, 73, -10, 45, -61, 57, 21]

Pass 1:
  Compare -8 and 73
  No swap needed
  Compare 73 and -10
  Swap 73 and -10
  List after swap: [-8, -10, 73, 45, -61, 57, 21]
  Compare 73 and 45
  Swap 73 and 45
  List after swap: [-8, -10, 45, 73, -61, 57, 21]
  Compare 73 and -61
  Swap 73 and -61
  List after swap: [-8, -10, 45, -61, 73, 57, 21]
  Compare 73 and 57
  Swap 73 and 57
  List after swap: [-8, -10, 45, -61, 57, 73, 21]
  Compare 73 and 21
  Swap 73 and 21
  List after swap: [-8, -10, 45, -61, 57, 21, 73]

Pass 2:
  Compare -8 and -10
  Swap -8 and -10
  List after swap: [-10, -8, 45, -61, 57, 21, 73]
  Compare -8 and 45
  No swap needed
  Compare 45 and -61
  Swap 45 and -61
  List after swap: [-10, -8, -61, 45, 57, 21, 73]
  Compare 45 and 57
  No swap needed
  Compare 57 and 21
  Swap 57 and 21
  List after swap: [-10, -8, -61, 45, 21, 57, 73]

Pass 3:
  Compare -10 and -8
  No swap needed
  Compare -8 and -61
  Swap -8 and -61
  List after swap: [-10, -61, -8, 45, 21, 57, 73]
  Compare -8 and 45
  No swap needed
  Compare 45 and 21
  Swap 45 and 21
  List after swap: [-10, -61, -8, 21, 45, 57, 73]

Pass 4:
  Compare -10 and -61
  Swap -10 and -61
  List after swap: [-61, -10, -8, 21, 45, 57, 73]
  Compare -10 and -8
  No swap needed
  Compare -8 and 21
  No swap needed

Pass 5:
  Compare -61 and -10
  No swap needed
  Compare -10 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -10, -8, 21, 45, 57, 73]
</think>

<response>-61, -10, -8, 21, 45, 57, 73</response>