input: Execute bubble sort to sort -93, 61, 48, 97, 56, -81, 1 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-93, 61, 48, 97, 56, -81, 1]

Pass 1:
  Compare -93 and 61
  No swap needed
  Compare 61 and 48
  Swap 61 and 48
  List after swap: [-93, 48, 61, 97, 56, -81, 1]
  Compare 61 and 97
  No swap needed
  Compare 97 and 56
  Swap 97 and 56
  List after swap: [-93, 48, 61, 56, 97, -81, 1]
  Compare 97 and -81
  Swap 97 and -81
  List after swap: [-93, 48, 61, 56, -81, 97, 1]
  Compare 97 and 1
  Swap 97 and 1
  List after swap: [-93, 48, 61, 56, -81, 1, 97]

Pass 2:
  Compare -93 and 48
  No swap needed
  Compare 48 and 61
  No swap needed
  Compare 61 and 56
  Swap 61 and 56
  List after swap: [-93, 48, 56, 61, -81, 1, 97]
  Compare 61 and -81
  Swap 61 and -81
  List after swap: [-93, 48, 56, -81, 61, 1, 97]
  Compare 61 and 1
  Swap 61 and 1
  List after swap: [-93, 48, 56, -81, 1, 61, 97]

Pass 3:
  Compare -93 and 48
  No swap needed
  Compare 48 and 56
  No swap needed
  Compare 56 and -81
  Swap 56 and -81
  List after swap: [-93, 48, -81, 56, 1, 61, 97]
  Compare 56 and 1
  Swap 56 and 1
  List after swap: [-93, 48, -81, 1, 56, 61, 97]

Pass 4:
  Compare -93 and 48
  No swap needed
  Compare 48 and -81
  Swap 48 and -81
  List after swap: [-93, -81, 48, 1, 56, 61, 97]
  Compare 48 and 1
  Swap 48 and 1
  List after swap: [-93, -81, 1, 48, 56, 61, 97]

Pass 5:
  Compare -93 and -81
  No swap needed
  Compare -81 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -81, 1, 48, 56, 61, 97]
</think>

<response>-93, -81, 1, 48, 56, 61, 97</response>


input: Use the bubble sort technique to reorder -40, -78, -50, 92, -3, -2, 28, -23 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-40, -78, -50, 92, -3, -2, 28, -23]

Pass 1:
  Compare -40 and -78
  Swap -40 and -78
  List after swap: [-78, -40, -50, 92, -3, -2, 28, -23]
  Compare -40 and -50
  Swap -40 and -50
  List after swap: [-78, -50, -40, 92, -3, -2, 28, -23]
  Compare -40 and 92
  No swap needed
  Compare 92 and -3
  Swap 92 and -3
  List after swap: [-78, -50, -40, -3, 92, -2, 28, -23]
  Compare 92 and -2
  Swap 92 and -2
  List after swap: [-78, -50, -40, -3, -2, 92, 28, -23]
  Compare 92 and 28
  Swap 92 and 28
  List after swap: [-78, -50, -40, -3, -2, 28, 92, -23]
  Compare 92 and -23
  Swap 92 and -23
  List after swap: [-78, -50, -40, -3, -2, 28, -23, 92]

Pass 2:
  Compare -78 and -50
  No swap needed
  Compare -50 and -40
  No swap needed
  Compare -40 and -3
  No swap needed
  Compare -3 and -2
  No swap needed
  Compare -2 and 28
  No swap needed
  Compare 28 and -23
  Swap 28 and -23
  List after swap: [-78, -50, -40, -3, -2, -23, 28, 92]

Pass 3:
  Compare -78 and -50
  No swap needed
  Compare -50 and -40
  No swap needed
  Compare -40 and -3
  No swap needed
  Compare -3 and -2
  No swap needed
  Compare -2 and -23
  Swap -2 and -23
  List after swap: [-78, -50, -40, -3, -23, -2, 28, 92]

Pass 4:
  Compare -78 and -50
  No swap needed
  Compare -50 and -40
  No swap needed
  Compare -40 and -3
  No swap needed
  Compare -3 and -23
  Swap -3 and -23
  List after swap: [-78, -50, -40, -23, -3, -2, 28, 92]

Pass 5:
  Compare -78 and -50
  No swap needed
  Compare -50 and -40
  No swap needed
  Compare -40 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -50, -40, -23, -3, -2, 28, 92]
</think>

<response>-78, -50, -40, -23, -3, -2, 28, 92</response>


input: Arrange the numbers 30, 42 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [30, 42]

Pass 1:
  Compare 30 and 42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [30, 42]
</think>

<response>30, 42</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 37, -52, 23, 80, 91, 94, -65, -51.

output:
<think>
Initial list: [37, -52, 23, 80, 91, 94, -65, -51]

Pass 1:
  Compare 37 and -52
  Swap 37 and -52
  List after swap: [-52, 37, 23, 80, 91, 94, -65, -51]
  Compare 37 and 23
  Swap 37 and 23
  List after swap: [-52, 23, 37, 80, 91, 94, -65, -51]
  Compare 37 and 80
  No swap needed
  Compare 80 and 91
  No swap needed
  Compare 91 and 94
  No swap needed
  Compare 94 and -65
  Swap 94 and -65
  List after swap: [-52, 23, 37, 80, 91, -65, 94, -51]
  Compare 94 and -51
  Swap 94 and -51
  List after swap: [-52, 23, 37, 80, 91, -65, -51, 94]

Pass 2:
  Compare -52 and 23
  No swap needed
  Compare 23 and 37
  No swap needed
  Compare 37 and 80
  No swap needed
  Compare 80 and 91
  No swap needed
  Compare 91 and -65
  Swap 91 and -65
  List after swap: [-52, 23, 37, 80, -65, 91, -51, 94]
  Compare 91 and -51
  Swap 91 and -51
  List after swap: [-52, 23, 37, 80, -65, -51, 91, 94]

Pass 3:
  Compare -52 and 23
  No swap needed
  Compare 23 and 37
  No swap needed
  Compare 37 and 80
  No swap needed
  Compare 80 and -65
  Swap 80 and -65
  List after swap: [-52, 23, 37, -65, 80, -51, 91, 94]
  Compare 80 and -51
  Swap 80 and -51
  List after swap: [-52, 23, 37, -65, -51, 80, 91, 94]

Pass 4:
  Compare -52 and 23
  No swap needed
  Compare 23 and 37
  No swap needed
  Compare 37 and -65
  Swap 37 and -65
  List after swap: [-52, 23, -65, 37, -51, 80, 91, 94]
  Compare 37 and -51
  Swap 37 and -51
  List after swap: [-52, 23, -65, -51, 37, 80, 91, 94]

Pass 5:
  Compare -52 and 23
  No swap needed
  Compare 23 and -65
  Swap 23 and -65
  List after swap: [-52, -65, 23, -51, 37, 80, 91, 94]
  Compare 23 and -51
  Swap 23 and -51
  List after swap: [-52, -65, -51, 23, 37, 80, 91, 94]

Pass 6:
  Compare -52 and -65
  Swap -52 and -65
  List after swap: [-65, -52, -51, 23, 37, 80, 91, 94]
  Compare -52 and -51
  No swap needed

Pass 7:
  Compare -65 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -52, -51, 23, 37, 80, 91, 94]
</think>

<response>-65, -52, -51, 23, 37, 80, 91, 94</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 55, 81, 84, 2, 18.

output:
<think>
Initial list: [55, 81, 84, 2, 18]

Pass 1:
  Compare 55 and 81
  No swap needed
  Compare 81 and 84
  No swap needed
  Compare 84 and 2
  Swap 84 and 2
  List after swap: [55, 81, 2, 84, 18]
  Compare 84 and 18
  Swap 84 and 18
  List after swap: [55, 81, 2, 18, 84]

Pass 2:
  Compare 55 and 81
  No swap needed
  Compare 81 and 2
  Swap 81 and 2
  List after swap: [55, 2, 81, 18, 84]
  Compare 81 and 18
  Swap 81 and 18
  List after swap: [55, 2, 18, 81, 84]

Pass 3:
  Compare 55 and 2
  Swap 55 and 2
  List after swap: [2, 55, 18, 81, 84]
  Compare 55 and 18
  Swap 55 and 18
  List after swap: [2, 18, 55, 81, 84]

Pass 4:
  Compare 2 and 18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [2, 18, 55, 81, 84]
</think>

<response>2, 18, 55, 81, 84</response>


input: Carry out the bubble sort algorithm on -47, -74, 77, 15, 2 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-47, -74, 77, 15, 2]

Pass 1:
  Compare -47 and -74
  Swap -47 and -74
  List after swap: [-74, -47, 77, 15, 2]
  Compare -47 and 77
  No swap needed
  Compare 77 and 15
  Swap 77 and 15
  List after swap: [-74, -47, 15, 77, 2]
  Compare 77 and 2
  Swap 77 and 2
  List after swap: [-74, -47, 15, 2, 77]

Pass 2:
  Compare -74 and -47
  No swap needed
  Compare -47 and 15
  No swap needed
  Compare 15 and 2
  Swap 15 and 2
  List after swap: [-74, -47, 2, 15, 77]

Pass 3:
  Compare -74 and -47
  No swap needed
  Compare -47 and 2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -47, 2, 15, 77]
</think>

<response>-74, -47, 2, 15, 77</response>


input: Arrange the numbers 42, -19, 25, 89, 70, -26, 41, 0, 51, 93 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [42, -19, 25, 89, 70, -26, 41, 0, 51, 93]

Pass 1:
  Compare 42 and -19
  Swap 42 and -19
  List after swap: [-19, 42, 25, 89, 70, -26, 41, 0, 51, 93]
  Compare 42 and 25
  Swap 42 and 25
  List after swap: [-19, 25, 42, 89, 70, -26, 41, 0, 51, 93]
  Compare 42 and 89
  No swap needed
  Compare 89 and 70
  Swap 89 and 70
  List after swap: [-19, 25, 42, 70, 89, -26, 41, 0, 51, 93]
  Compare 89 and -26
  Swap 89 and -26
  List after swap: [-19, 25, 42, 70, -26, 89, 41, 0, 51, 93]
  Compare 89 and 41
  Swap 89 and 41
  List after swap: [-19, 25, 42, 70, -26, 41, 89, 0, 51, 93]
  Compare 89 and 0
  Swap 89 and 0
  List after swap: [-19, 25, 42, 70, -26, 41, 0, 89, 51, 93]
  Compare 89 and 51
  Swap 89 and 51
  List after swap: [-19, 25, 42, 70, -26, 41, 0, 51, 89, 93]
  Compare 89 and 93
  No swap needed

Pass 2:
  Compare -19 and 25
  No swap needed
  Compare 25 and 42
  No swap needed
  Compare 42 and 70
  No swap needed
  Compare 70 and -26
  Swap 70 and -26
  List after swap: [-19, 25, 42, -26, 70, 41, 0, 51, 89, 93]
  Compare 70 and 41
  Swap 70 and 41
  List after swap: [-19, 25, 42, -26, 41, 70, 0, 51, 89, 93]
  Compare 70 and 0
  Swap 70 and 0
  List after swap: [-19, 25, 42, -26, 41, 0, 70, 51, 89, 93]
  Compare 70 and 51
  Swap 70 and 51
  List after swap: [-19, 25, 42, -26, 41, 0, 51, 70, 89, 93]
  Compare 70 and 89
  No swap needed

Pass 3:
  Compare -19 and 25
  No swap needed
  Compare 25 and 42
  No swap needed
  Compare 42 and -26
  Swap 42 and -26
  List after swap: [-19, 25, -26, 42, 41, 0, 51, 70, 89, 93]
  Compare 42 and 41
  Swap 42 and 41
  List after swap: [-19, 25, -26, 41, 42, 0, 51, 70, 89, 93]
  Compare 42 and 0
  Swap 42 and 0
  List after swap: [-19, 25, -26, 41, 0, 42, 51, 70, 89, 93]
  Compare 42 and 51
  No swap needed
  Compare 51 and 70
  No swap needed

Pass 4:
  Compare -19 and 25
  No swap needed
  Compare 25 and -26
  Swap 25 and -26
  List after swap: [-19, -26, 25, 41, 0, 42, 51, 70, 89, 93]
  Compare 25 and 41
  No swap needed
  Compare 41 and 0
  Swap 41 and 0
  List after swap: [-19, -26, 25, 0, 41, 42, 51, 70, 89, 93]
  Compare 41 and 42
  No swap needed
  Compare 42 and 51
  No swap needed

Pass 5:
  Compare -19 and -26
  Swap -19 and -26
  List after swap: [-26, -19, 25, 0, 41, 42, 51, 70, 89, 93]
  Compare -19 and 25
  No swap needed
  Compare 25 and 0
  Swap 25 and 0
  List after swap: [-26, -19, 0, 25, 41, 42, 51, 70, 89, 93]
  Compare 25 and 41
  No swap needed
  Compare 41 and 42
  No swap needed

Pass 6:
  Compare -26 and -19
  No swap needed
  Compare -19 and 0
  No swap needed
  Compare 0 and 25
  No swap needed
  Compare 25 and 41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-26, -19, 0, 25, 41, 42, 51, 70, 89, 93]
</think>

<response>-26, -19, 0, 25, 41, 42, 51, 70, 89, 93</response>


input: Sort the list -37, 84, -5, 98, -32, -8, -95, -56 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-37, 84, -5, 98, -32, -8, -95, -56]

Pass 1:
  Compare -37 and 84
  No swap needed
  Compare 84 and -5
  Swap 84 and -5
  List after swap: [-37, -5, 84, 98, -32, -8, -95, -56]
  Compare 84 and 98
  No swap needed
  Compare 98 and -32
  Swap 98 and -32
  List after swap: [-37, -5, 84, -32, 98, -8, -95, -56]
  Compare 98 and -8
  Swap 98 and -8
  List after swap: [-37, -5, 84, -32, -8, 98, -95, -56]
  Compare 98 and -95
  Swap 98 and -95
  List after swap: [-37, -5, 84, -32, -8, -95, 98, -56]
  Compare 98 and -56
  Swap 98 and -56
  List after swap: [-37, -5, 84, -32, -8, -95, -56, 98]

Pass 2:
  Compare -37 and -5
  No swap needed
  Compare -5 and 84
  No swap needed
  Compare 84 and -32
  Swap 84 and -32
  List after swap: [-37, -5, -32, 84, -8, -95, -56, 98]
  Compare 84 and -8
  Swap 84 and -8
  List after swap: [-37, -5, -32, -8, 84, -95, -56, 98]
  Compare 84 and -95
  Swap 84 and -95
  List after swap: [-37, -5, -32, -8, -95, 84, -56, 98]
  Compare 84 and -56
  Swap 84 and -56
  List after swap: [-37, -5, -32, -8, -95, -56, 84, 98]

Pass 3:
  Compare -37 and -5
  No swap needed
  Compare -5 and -32
  Swap -5 and -32
  List after swap: [-37, -32, -5, -8, -95, -56, 84, 98]
  Compare -5 and -8
  Swap -5 and -8
  List after swap: [-37, -32, -8, -5, -95, -56, 84, 98]
  Compare -5 and -95
  Swap -5 and -95
  List after swap: [-37, -32, -8, -95, -5, -56, 84, 98]
  Compare -5 and -56
  Swap -5 and -56
  List after swap: [-37, -32, -8, -95, -56, -5, 84, 98]

Pass 4:
  Compare -37 and -32
  No swap needed
  Compare -32 and -8
  No swap needed
  Compare -8 and -95
  Swap -8 and -95
  List after swap: [-37, -32, -95, -8, -56, -5, 84, 98]
  Compare -8 and -56
  Swap -8 and -56
  List after swap: [-37, -32, -95, -56, -8, -5, 84, 98]

Pass 5:
  Compare -37 and -32
  No swap needed
  Compare -32 and -95
  Swap -32 and -95
  List after swap: [-37, -95, -32, -56, -8, -5, 84, 98]
  Compare -32 and -56
  Swap -32 and -56
  List after swap: [-37, -95, -56, -32, -8, -5, 84, 98]

Pass 6:
  Compare -37 and -95
  Swap -37 and -95
  List after swap: [-95, -37, -56, -32, -8, -5, 84, 98]
  Compare -37 and -56
  Swap -37 and -56
  List after swap: [-95, -56, -37, -32, -8, -5, 84, 98]

Pass 7:
  Compare -95 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -56, -37, -32, -8, -5, 84, 98]
</think>

<response>-95, -56, -37, -32, -8, -5, 84, 98</response>


input: Demonstrate how bubble sort orders the integers -72, -17, 18, 3, -8, 62, 20 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-72, -17, 18, 3, -8, 62, 20]

Pass 1:
  Compare -72 and -17
  No swap needed
  Compare -17 and 18
  No swap needed
  Compare 18 and 3
  Swap 18 and 3
  List after swap: [-72, -17, 3, 18, -8, 62, 20]
  Compare 18 and -8
  Swap 18 and -8
  List after swap: [-72, -17, 3, -8, 18, 62, 20]
  Compare 18 and 62
  No swap needed
  Compare 62 and 20
  Swap 62 and 20
  List after swap: [-72, -17, 3, -8, 18, 20, 62]

Pass 2:
  Compare -72 and -17
  No swap needed
  Compare -17 and 3
  No swap needed
  Compare 3 and -8
  Swap 3 and -8
  List after swap: [-72, -17, -8, 3, 18, 20, 62]
  Compare 3 and 18
  No swap needed
  Compare 18 and 20
  No swap needed

Pass 3:
  Compare -72 and -17
  No swap needed
  Compare -17 and -8
  No swap needed
  Compare -8 and 3
  No swap needed
  Compare 3 and 18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -17, -8, 3, 18, 20, 62]
</think>

<response>-72, -17, -8, 3, 18, 20, 62</response>


input: Sort the list -14, 32, -58, -37, -16, 42, 61, 58, 53 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-14, 32, -58, -37, -16, 42, 61, 58, 53]

Pass 1:
  Compare -14 and 32
  No swap needed
  Compare 32 and -58
  Swap 32 and -58
  List after swap: [-14, -58, 32, -37, -16, 42, 61, 58, 53]
  Compare 32 and -37
  Swap 32 and -37
  List after swap: [-14, -58, -37, 32, -16, 42, 61, 58, 53]
  Compare 32 and -16
  Swap 32 and -16
  List after swap: [-14, -58, -37, -16, 32, 42, 61, 58, 53]
  Compare 32 and 42
  No swap needed
  Compare 42 and 61
  No swap needed
  Compare 61 and 58
  Swap 61 and 58
  List after swap: [-14, -58, -37, -16, 32, 42, 58, 61, 53]
  Compare 61 and 53
  Swap 61 and 53
  List after swap: [-14, -58, -37, -16, 32, 42, 58, 53, 61]

Pass 2:
  Compare -14 and -58
  Swap -14 and -58
  List after swap: [-58, -14, -37, -16, 32, 42, 58, 53, 61]
  Compare -14 and -37
  Swap -14 and -37
  List after swap: [-58, -37, -14, -16, 32, 42, 58, 53, 61]
  Compare -14 and -16
  Swap -14 and -16
  List after swap: [-58, -37, -16, -14, 32, 42, 58, 53, 61]
  Compare -14 and 32
  No swap needed
  Compare 32 and 42
  No swap needed
  Compare 42 and 58
  No swap needed
  Compare 58 and 53
  Swap 58 and 53
  List after swap: [-58, -37, -16, -14, 32, 42, 53, 58, 61]

Pass 3:
  Compare -58 and -37
  No swap needed
  Compare -37 and -16
  No swap needed
  Compare -16 and -14
  No swap needed
  Compare -14 and 32
  No swap needed
  Compare 32 and 42
  No swap needed
  Compare 42 and 53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -37, -16, -14, 32, 42, 53, 58, 61]
</think>

<response>-58, -37, -16, -14, 32, 42, 53, 58, 61</response>


input: Carry out the bubble sort algorithm on 68, -90, -15, -23, 56, -18, 75, -20, 58, 28 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [68, -90, -15, -23, 56, -18, 75, -20, 58, 28]

Pass 1:
  Compare 68 and -90
  Swap 68 and -90
  List after swap: [-90, 68, -15, -23, 56, -18, 75, -20, 58, 28]
  Compare 68 and -15
  Swap 68 and -15
  List after swap: [-90, -15, 68, -23, 56, -18, 75, -20, 58, 28]
  Compare 68 and -23
  Swap 68 and -23
  List after swap: [-90, -15, -23, 68, 56, -18, 75, -20, 58, 28]
  Compare 68 and 56
  Swap 68 and 56
  List after swap: [-90, -15, -23, 56, 68, -18, 75, -20, 58, 28]
  Compare 68 and -18
  Swap 68 and -18
  List after swap: [-90, -15, -23, 56, -18, 68, 75, -20, 58, 28]
  Compare 68 and 75
  No swap needed
  Compare 75 and -20
  Swap 75 and -20
  List after swap: [-90, -15, -23, 56, -18, 68, -20, 75, 58, 28]
  Compare 75 and 58
  Swap 75 and 58
  List after swap: [-90, -15, -23, 56, -18, 68, -20, 58, 75, 28]
  Compare 75 and 28
  Swap 75 and 28
  List after swap: [-90, -15, -23, 56, -18, 68, -20, 58, 28, 75]

Pass 2:
  Compare -90 and -15
  No swap needed
  Compare -15 and -23
  Swap -15 and -23
  List after swap: [-90, -23, -15, 56, -18, 68, -20, 58, 28, 75]
  Compare -15 and 56
  No swap needed
  Compare 56 and -18
  Swap 56 and -18
  List after swap: [-90, -23, -15, -18, 56, 68, -20, 58, 28, 75]
  Compare 56 and 68
  No swap needed
  Compare 68 and -20
  Swap 68 and -20
  List after swap: [-90, -23, -15, -18, 56, -20, 68, 58, 28, 75]
  Compare 68 and 58
  Swap 68 and 58
  List after swap: [-90, -23, -15, -18, 56, -20, 58, 68, 28, 75]
  Compare 68 and 28
  Swap 68 and 28
  List after swap: [-90, -23, -15, -18, 56, -20, 58, 28, 68, 75]

Pass 3:
  Compare -90 and -23
  No swap needed
  Compare -23 and -15
  No swap needed
  Compare -15 and -18
  Swap -15 and -18
  List after swap: [-90, -23, -18, -15, 56, -20, 58, 28, 68, 75]
  Compare -15 and 56
  No swap needed
  Compare 56 and -20
  Swap 56 and -20
  List after swap: [-90, -23, -18, -15, -20, 56, 58, 28, 68, 75]
  Compare 56 and 58
  No swap needed
  Compare 58 and 28
  Swap 58 and 28
  List after swap: [-90, -23, -18, -15, -20, 56, 28, 58, 68, 75]

Pass 4:
  Compare -90 and -23
  No swap needed
  Compare -23 and -18
  No swap needed
  Compare -18 and -15
  No swap needed
  Compare -15 and -20
  Swap -15 and -20
  List after swap: [-90, -23, -18, -20, -15, 56, 28, 58, 68, 75]
  Compare -15 and 56
  No swap needed
  Compare 56 and 28
  Swap 56 and 28
  List after swap: [-90, -23, -18, -20, -15, 28, 56, 58, 68, 75]

Pass 5:
  Compare -90 and -23
  No swap needed
  Compare -23 and -18
  No swap needed
  Compare -18 and -20
  Swap -18 and -20
  List after swap: [-90, -23, -20, -18, -15, 28, 56, 58, 68, 75]
  Compare -18 and -15
  No swap needed
  Compare -15 and 28
  No swap needed

Pass 6:
  Compare -90 and -23
  No swap needed
  Compare -23 and -20
  No swap needed
  Compare -20 and -18
  No swap needed
  Compare -18 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -23, -20, -18, -15, 28, 56, 58, 68, 75]
</think>

<response>-90, -23, -20, -18, -15, 28, 56, 58, 68, 75</response>


input: Execute bubble sort to sort -75, 12 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-75, 12]

Pass 1:
  Compare -75 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, 12]
</think>

<response>-75, 12</response>


input: Use the bubble sort technique to reorder -9, -62, -53 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-9, -62, -53]

Pass 1:
  Compare -9 and -62
  Swap -9 and -62
  List after swap: [-62, -9, -53]
  Compare -9 and -53
  Swap -9 and -53
  List after swap: [-62, -53, -9]

Pass 2:
  Compare -62 and -53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -53, -9]
</think>

<response>-62, -53, -9</response>


input: Using the bubble sort method, sort 70, 13, -20, -30, 93 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [70, 13, -20, -30, 93]

Pass 1:
  Compare 70 and 13
  Swap 70 and 13
  List after swap: [13, 70, -20, -30, 93]
  Compare 70 and -20
  Swap 70 and -20
  List after swap: [13, -20, 70, -30, 93]
  Compare 70 and -30
  Swap 70 and -30
  List after swap: [13, -20, -30, 70, 93]
  Compare 70 and 93
  No swap needed

Pass 2:
  Compare 13 and -20
  Swap 13 and -20
  List after swap: [-20, 13, -30, 70, 93]
  Compare 13 and -30
  Swap 13 and -30
  List after swap: [-20, -30, 13, 70, 93]
  Compare 13 and 70
  No swap needed

Pass 3:
  Compare -20 and -30
  Swap -20 and -30
  List after swap: [-30, -20, 13, 70, 93]
  Compare -20 and 13
  No swap needed

Pass 4:
  Compare -30 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-30, -20, 13, 70, 93]
</think>

<response>-30, -20, 13, 70, 93</response>


input: Implement bubble sort on 97, -14, -80, 71, 82, 75, -88, 22, -3 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [97, -14, -80, 71, 82, 75, -88, 22, -3]

Pass 1:
  Compare 97 and -14
  Swap 97 and -14
  List after swap: [-14, 97, -80, 71, 82, 75, -88, 22, -3]
  Compare 97 and -80
  Swap 97 and -80
  List after swap: [-14, -80, 97, 71, 82, 75, -88, 22, -3]
  Compare 97 and 71
  Swap 97 and 71
  List after swap: [-14, -80, 71, 97, 82, 75, -88, 22, -3]
  Compare 97 and 82
  Swap 97 and 82
  List after swap: [-14, -80, 71, 82, 97, 75, -88, 22, -3]
  Compare 97 and 75
  Swap 97 and 75
  List after swap: [-14, -80, 71, 82, 75, 97, -88, 22, -3]
  Compare 97 and -88
  Swap 97 and -88
  List after swap: [-14, -80, 71, 82, 75, -88, 97, 22, -3]
  Compare 97 and 22
  Swap 97 and 22
  List after swap: [-14, -80, 71, 82, 75, -88, 22, 97, -3]
  Compare 97 and -3
  Swap 97 and -3
  List after swap: [-14, -80, 71, 82, 75, -88, 22, -3, 97]

Pass 2:
  Compare -14 and -80
  Swap -14 and -80
  List after swap: [-80, -14, 71, 82, 75, -88, 22, -3, 97]
  Compare -14 and 71
  No swap needed
  Compare 71 and 82
  No swap needed
  Compare 82 and 75
  Swap 82 and 75
  List after swap: [-80, -14, 71, 75, 82, -88, 22, -3, 97]
  Compare 82 and -88
  Swap 82 and -88
  List after swap: [-80, -14, 71, 75, -88, 82, 22, -3, 97]
  Compare 82 and 22
  Swap 82 and 22
  List after swap: [-80, -14, 71, 75, -88, 22, 82, -3, 97]
  Compare 82 and -3
  Swap 82 and -3
  List after swap: [-80, -14, 71, 75, -88, 22, -3, 82, 97]

Pass 3:
  Compare -80 and -14
  No swap needed
  Compare -14 and 71
  No swap needed
  Compare 71 and 75
  No swap needed
  Compare 75 and -88
  Swap 75 and -88
  List after swap: [-80, -14, 71, -88, 75, 22, -3, 82, 97]
  Compare 75 and 22
  Swap 75 and 22
  List after swap: [-80, -14, 71, -88, 22, 75, -3, 82, 97]
  Compare 75 and -3
  Swap 75 and -3
  List after swap: [-80, -14, 71, -88, 22, -3, 75, 82, 97]

Pass 4:
  Compare -80 and -14
  No swap needed
  Compare -14 and 71
  No swap needed
  Compare 71 and -88
  Swap 71 and -88
  List after swap: [-80, -14, -88, 71, 22, -3, 75, 82, 97]
  Compare 71 and 22
  Swap 71 and 22
  List after swap: [-80, -14, -88, 22, 71, -3, 75, 82, 97]
  Compare 71 and -3
  Swap 71 and -3
  List after swap: [-80, -14, -88, 22, -3, 71, 75, 82, 97]

Pass 5:
  Compare -80 and -14
  No swap needed
  Compare -14 and -88
  Swap -14 and -88
  List after swap: [-80, -88, -14, 22, -3, 71, 75, 82, 97]
  Compare -14 and 22
  No swap needed
  Compare 22 and -3
  Swap 22 and -3
  List after swap: [-80, -88, -14, -3, 22, 71, 75, 82, 97]

Pass 6:
  Compare -80 and -88
  Swap -80 and -88
  List after swap: [-88, -80, -14, -3, 22, 71, 75, 82, 97]
  Compare -80 and -14
  No swap needed
  Compare -14 and -3
  No swap needed

Pass 7:
  Compare -88 and -80
  No swap needed
  Compare -80 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -80, -14, -3, 22, 71, 75, 82, 97]
</think>

<response>-88, -80, -14, -3, 22, 71, 75, 82, 97</response>


input: Sort these integers 25, 7, -20, 29, 8 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [25, 7, -20, 29, 8]

Pass 1:
  Compare 25 and 7
  Swap 25 and 7
  List after swap: [7, 25, -20, 29, 8]
  Compare 25 and -20
  Swap 25 and -20
  List after swap: [7, -20, 25, 29, 8]
  Compare 25 and 29
  No swap needed
  Compare 29 and 8
  Swap 29 and 8
  List after swap: [7, -20, 25, 8, 29]

Pass 2:
  Compare 7 and -20
  Swap 7 and -20
  List after swap: [-20, 7, 25, 8, 29]
  Compare 7 and 25
  No swap needed
  Compare 25 and 8
  Swap 25 and 8
  List after swap: [-20, 7, 8, 25, 29]

Pass 3:
  Compare -20 and 7
  No swap needed
  Compare 7 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-20, 7, 8, 25, 29]
</think>

<response>-20, 7, 8, 25, 29</response>


input: Using the bubble sort method, sort -2, 82, -73 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-2, 82, -73]

Pass 1:
  Compare -2 and 82
  No swap needed
  Compare 82 and -73
  Swap 82 and -73
  List after swap: [-2, -73, 82]

Pass 2:
  Compare -2 and -73
  Swap -2 and -73
  List after swap: [-73, -2, 82]

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

Final sorted list: [-73, -2, 82]
</think>

<response>-73, -2, 82</response>


input: Arrange the numbers -86, 36 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-86, 36]

Pass 1:
  Compare -86 and 36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, 36]
</think>

<response>-86, 36</response>


input: Perform a bubble sort on the integers -54, 89, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-54, 89]

Pass 1:
  Compare -54 and 89
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-54, 89]
</think>

<response>-54, 89</response>


input: Execute bubble sort to sort -20, -61 in increasing order and detail each phase of the sorting process.

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

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

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

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

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


input: Use the bubble sort technique to reorder 99, -99, -60, -51 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [99, -99, -60, -51]

Pass 1:
  Compare 99 and -99
  Swap 99 and -99
  List after swap: [-99, 99, -60, -51]
  Compare 99 and -60
  Swap 99 and -60
  List after swap: [-99, -60, 99, -51]
  Compare 99 and -51
  Swap 99 and -51
  List after swap: [-99, -60, -51, 99]

Pass 2:
  Compare -99 and -60
  No swap needed
  Compare -60 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -60, -51, 99]
</think>

<response>-99, -60, -51, 99</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -25, 9, -38, 86, -32, 70, -33.

output:
<think>
Initial list: [-25, 9, -38, 86, -32, 70, -33]

Pass 1:
  Compare -25 and 9
  No swap needed
  Compare 9 and -38
  Swap 9 and -38
  List after swap: [-25, -38, 9, 86, -32, 70, -33]
  Compare 9 and 86
  No swap needed
  Compare 86 and -32
  Swap 86 and -32
  List after swap: [-25, -38, 9, -32, 86, 70, -33]
  Compare 86 and 70
  Swap 86 and 70
  List after swap: [-25, -38, 9, -32, 70, 86, -33]
  Compare 86 and -33
  Swap 86 and -33
  List after swap: [-25, -38, 9, -32, 70, -33, 86]

Pass 2:
  Compare -25 and -38
  Swap -25 and -38
  List after swap: [-38, -25, 9, -32, 70, -33, 86]
  Compare -25 and 9
  No swap needed
  Compare 9 and -32
  Swap 9 and -32
  List after swap: [-38, -25, -32, 9, 70, -33, 86]
  Compare 9 and 70
  No swap needed
  Compare 70 and -33
  Swap 70 and -33
  List after swap: [-38, -25, -32, 9, -33, 70, 86]

Pass 3:
  Compare -38 and -25
  No swap needed
  Compare -25 and -32
  Swap -25 and -32
  List after swap: [-38, -32, -25, 9, -33, 70, 86]
  Compare -25 and 9
  No swap needed
  Compare 9 and -33
  Swap 9 and -33
  List after swap: [-38, -32, -25, -33, 9, 70, 86]

Pass 4:
  Compare -38 and -32
  No swap needed
  Compare -32 and -25
  No swap needed
  Compare -25 and -33
  Swap -25 and -33
  List after swap: [-38, -32, -33, -25, 9, 70, 86]

Pass 5:
  Compare -38 and -32
  No swap needed
  Compare -32 and -33
  Swap -32 and -33
  List after swap: [-38, -33, -32, -25, 9, 70, 86]

Pass 6:
  Compare -38 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-38, -33, -32, -25, 9, 70, 86]
</think>

<response>-38, -33, -32, -25, 9, 70, 86</response>


input: Demonstrate how bubble sort orders the integers 78, -68, -26, -69, 55, -31, -73 in ascending sequence, showing all steps.

output:
<think>
Initial list: [78, -68, -26, -69, 55, -31, -73]

Pass 1:
  Compare 78 and -68
  Swap 78 and -68
  List after swap: [-68, 78, -26, -69, 55, -31, -73]
  Compare 78 and -26
  Swap 78 and -26
  List after swap: [-68, -26, 78, -69, 55, -31, -73]
  Compare 78 and -69
  Swap 78 and -69
  List after swap: [-68, -26, -69, 78, 55, -31, -73]
  Compare 78 and 55
  Swap 78 and 55
  List after swap: [-68, -26, -69, 55, 78, -31, -73]
  Compare 78 and -31
  Swap 78 and -31
  List after swap: [-68, -26, -69, 55, -31, 78, -73]
  Compare 78 and -73
  Swap 78 and -73
  List after swap: [-68, -26, -69, 55, -31, -73, 78]

Pass 2:
  Compare -68 and -26
  No swap needed
  Compare -26 and -69
  Swap -26 and -69
  List after swap: [-68, -69, -26, 55, -31, -73, 78]
  Compare -26 and 55
  No swap needed
  Compare 55 and -31
  Swap 55 and -31
  List after swap: [-68, -69, -26, -31, 55, -73, 78]
  Compare 55 and -73
  Swap 55 and -73
  List after swap: [-68, -69, -26, -31, -73, 55, 78]

Pass 3:
  Compare -68 and -69
  Swap -68 and -69
  List after swap: [-69, -68, -26, -31, -73, 55, 78]
  Compare -68 and -26
  No swap needed
  Compare -26 and -31
  Swap -26 and -31
  List after swap: [-69, -68, -31, -26, -73, 55, 78]
  Compare -26 and -73
  Swap -26 and -73
  List after swap: [-69, -68, -31, -73, -26, 55, 78]

Pass 4:
  Compare -69 and -68
  No swap needed
  Compare -68 and -31
  No swap needed
  Compare -31 and -73
  Swap -31 and -73
  List after swap: [-69, -68, -73, -31, -26, 55, 78]

Pass 5:
  Compare -69 and -68
  No swap needed
  Compare -68 and -73
  Swap -68 and -73
  List after swap: [-69, -73, -68, -31, -26, 55, 78]

Pass 6:
  Compare -69 and -73
  Swap -69 and -73
  List after swap: [-73, -69, -68, -31, -26, 55, 78]

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

Final sorted list: [-73, -69, -68, -31, -26, 55, 78]
</think>

<response>-73, -69, -68, -31, -26, 55, 78</response>


input: Execute bubble sort to sort 49, -83, 33, 88, 7, 59, 48, -23 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [49, -83, 33, 88, 7, 59, 48, -23]

Pass 1:
  Compare 49 and -83
  Swap 49 and -83
  List after swap: [-83, 49, 33, 88, 7, 59, 48, -23]
  Compare 49 and 33
  Swap 49 and 33
  List after swap: [-83, 33, 49, 88, 7, 59, 48, -23]
  Compare 49 and 88
  No swap needed
  Compare 88 and 7
  Swap 88 and 7
  List after swap: [-83, 33, 49, 7, 88, 59, 48, -23]
  Compare 88 and 59
  Swap 88 and 59
  List after swap: [-83, 33, 49, 7, 59, 88, 48, -23]
  Compare 88 and 48
  Swap 88 and 48
  List after swap: [-83, 33, 49, 7, 59, 48, 88, -23]
  Compare 88 and -23
  Swap 88 and -23
  List after swap: [-83, 33, 49, 7, 59, 48, -23, 88]

Pass 2:
  Compare -83 and 33
  No swap needed
  Compare 33 and 49
  No swap needed
  Compare 49 and 7
  Swap 49 and 7
  List after swap: [-83, 33, 7, 49, 59, 48, -23, 88]
  Compare 49 and 59
  No swap needed
  Compare 59 and 48
  Swap 59 and 48
  List after swap: [-83, 33, 7, 49, 48, 59, -23, 88]
  Compare 59 and -23
  Swap 59 and -23
  List after swap: [-83, 33, 7, 49, 48, -23, 59, 88]

Pass 3:
  Compare -83 and 33
  No swap needed
  Compare 33 and 7
  Swap 33 and 7
  List after swap: [-83, 7, 33, 49, 48, -23, 59, 88]
  Compare 33 and 49
  No swap needed
  Compare 49 and 48
  Swap 49 and 48
  List after swap: [-83, 7, 33, 48, 49, -23, 59, 88]
  Compare 49 and -23
  Swap 49 and -23
  List after swap: [-83, 7, 33, 48, -23, 49, 59, 88]

Pass 4:
  Compare -83 and 7
  No swap needed
  Compare 7 and 33
  No swap needed
  Compare 33 and 48
  No swap needed
  Compare 48 and -23
  Swap 48 and -23
  List after swap: [-83, 7, 33, -23, 48, 49, 59, 88]

Pass 5:
  Compare -83 and 7
  No swap needed
  Compare 7 and 33
  No swap needed
  Compare 33 and -23
  Swap 33 and -23
  List after swap: [-83, 7, -23, 33, 48, 49, 59, 88]

Pass 6:
  Compare -83 and 7
  No swap needed
  Compare 7 and -23
  Swap 7 and -23
  List after swap: [-83, -23, 7, 33, 48, 49, 59, 88]

Pass 7:
  Compare -83 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -23, 7, 33, 48, 49, 59, 88]
</think>

<response>-83, -23, 7, 33, 48, 49, 59, 88</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 33, -75, 82, 44, 57, -26, -74, -35, -73, -70.

output:
<think>
Initial list: [33, -75, 82, 44, 57, -26, -74, -35, -73, -70]

Pass 1:
  Compare 33 and -75
  Swap 33 and -75
  List after swap: [-75, 33, 82, 44, 57, -26, -74, -35, -73, -70]
  Compare 33 and 82
  No swap needed
  Compare 82 and 44
  Swap 82 and 44
  List after swap: [-75, 33, 44, 82, 57, -26, -74, -35, -73, -70]
  Compare 82 and 57
  Swap 82 and 57
  List after swap: [-75, 33, 44, 57, 82, -26, -74, -35, -73, -70]
  Compare 82 and -26
  Swap 82 and -26
  List after swap: [-75, 33, 44, 57, -26, 82, -74, -35, -73, -70]
  Compare 82 and -74
  Swap 82 and -74
  List after swap: [-75, 33, 44, 57, -26, -74, 82, -35, -73, -70]
  Compare 82 and -35
  Swap 82 and -35
  List after swap: [-75, 33, 44, 57, -26, -74, -35, 82, -73, -70]
  Compare 82 and -73
  Swap 82 and -73
  List after swap: [-75, 33, 44, 57, -26, -74, -35, -73, 82, -70]
  Compare 82 and -70
  Swap 82 and -70
  List after swap: [-75, 33, 44, 57, -26, -74, -35, -73, -70, 82]

Pass 2:
  Compare -75 and 33
  No swap needed
  Compare 33 and 44
  No swap needed
  Compare 44 and 57
  No swap needed
  Compare 57 and -26
  Swap 57 and -26
  List after swap: [-75, 33, 44, -26, 57, -74, -35, -73, -70, 82]
  Compare 57 and -74
  Swap 57 and -74
  List after swap: [-75, 33, 44, -26, -74, 57, -35, -73, -70, 82]
  Compare 57 and -35
  Swap 57 and -35
  List after swap: [-75, 33, 44, -26, -74, -35, 57, -73, -70, 82]
  Compare 57 and -73
  Swap 57 and -73
  List after swap: [-75, 33, 44, -26, -74, -35, -73, 57, -70, 82]
  Compare 57 and -70
  Swap 57 and -70
  List after swap: [-75, 33, 44, -26, -74, -35, -73, -70, 57, 82]

Pass 3:
  Compare -75 and 33
  No swap needed
  Compare 33 and 44
  No swap needed
  Compare 44 and -26
  Swap 44 and -26
  List after swap: [-75, 33, -26, 44, -74, -35, -73, -70, 57, 82]
  Compare 44 and -74
  Swap 44 and -74
  List after swap: [-75, 33, -26, -74, 44, -35, -73, -70, 57, 82]
  Compare 44 and -35
  Swap 44 and -35
  List after swap: [-75, 33, -26, -74, -35, 44, -73, -70, 57, 82]
  Compare 44 and -73
  Swap 44 and -73
  List after swap: [-75, 33, -26, -74, -35, -73, 44, -70, 57, 82]
  Compare 44 and -70
  Swap 44 and -70
  List after swap: [-75, 33, -26, -74, -35, -73, -70, 44, 57, 82]

Pass 4:
  Compare -75 and 33
  No swap needed
  Compare 33 and -26
  Swap 33 and -26
  List after swap: [-75, -26, 33, -74, -35, -73, -70, 44, 57, 82]
  Compare 33 and -74
  Swap 33 and -74
  List after swap: [-75, -26, -74, 33, -35, -73, -70, 44, 57, 82]
  Compare 33 and -35
  Swap 33 and -35
  List after swap: [-75, -26, -74, -35, 33, -73, -70, 44, 57, 82]
  Compare 33 and -73
  Swap 33 and -73
  List after swap: [-75, -26, -74, -35, -73, 33, -70, 44, 57, 82]
  Compare 33 and -70
  Swap 33 and -70
  List after swap: [-75, -26, -74, -35, -73, -70, 33, 44, 57, 82]

Pass 5:
  Compare -75 and -26
  No swap needed
  Compare -26 and -74
  Swap -26 and -74
  List after swap: [-75, -74, -26, -35, -73, -70, 33, 44, 57, 82]
  Compare -26 and -35
  Swap -26 and -35
  List after swap: [-75, -74, -35, -26, -73, -70, 33, 44, 57, 82]
  Compare -26 and -73
  Swap -26 and -73
  List after swap: [-75, -74, -35, -73, -26, -70, 33, 44, 57, 82]
  Compare -26 and -70
  Swap -26 and -70
  List after swap: [-75, -74, -35, -73, -70, -26, 33, 44, 57, 82]

Pass 6:
  Compare -75 and -74
  No swap needed
  Compare -74 and -35
  No swap needed
  Compare -35 and -73
  Swap -35 and -73
  List after swap: [-75, -74, -73, -35, -70, -26, 33, 44, 57, 82]
  Compare -35 and -70
  Swap -35 and -70
  List after swap: [-75, -74, -73, -70, -35, -26, 33, 44, 57, 82]

Pass 7:
  Compare -75 and -74
  No swap needed
  Compare -74 and -73
  No swap needed
  Compare -73 and -70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -74, -73, -70, -35, -26, 33, 44, 57, 82]
</think>

<response>-75, -74, -73, -70, -35, -26, 33, 44, 57, 82</response>


input: Demonstrate how bubble sort orders the integers -31, 33, -88, 59, 79, 44 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-31, 33, -88, 59, 79, 44]

Pass 1:
  Compare -31 and 33
  No swap needed
  Compare 33 and -88
  Swap 33 and -88
  List after swap: [-31, -88, 33, 59, 79, 44]
  Compare 33 and 59
  No swap needed
  Compare 59 and 79
  No swap needed
  Compare 79 and 44
  Swap 79 and 44
  List after swap: [-31, -88, 33, 59, 44, 79]

Pass 2:
  Compare -31 and -88
  Swap -31 and -88
  List after swap: [-88, -31, 33, 59, 44, 79]
  Compare -31 and 33
  No swap needed
  Compare 33 and 59
  No swap needed
  Compare 59 and 44
  Swap 59 and 44
  List after swap: [-88, -31, 33, 44, 59, 79]

Pass 3:
  Compare -88 and -31
  No swap needed
  Compare -31 and 33
  No swap needed
  Compare 33 and 44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -31, 33, 44, 59, 79]
</think>

<response>-88, -31, 33, 44, 59, 79</response>


input: Sort these integers 74, -41, -45, 93, 67, 11, 28 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [74, -41, -45, 93, 67, 11, 28]

Pass 1:
  Compare 74 and -41
  Swap 74 and -41
  List after swap: [-41, 74, -45, 93, 67, 11, 28]
  Compare 74 and -45
  Swap 74 and -45
  List after swap: [-41, -45, 74, 93, 67, 11, 28]
  Compare 74 and 93
  No swap needed
  Compare 93 and 67
  Swap 93 and 67
  List after swap: [-41, -45, 74, 67, 93, 11, 28]
  Compare 93 and 11
  Swap 93 and 11
  List after swap: [-41, -45, 74, 67, 11, 93, 28]
  Compare 93 and 28
  Swap 93 and 28
  List after swap: [-41, -45, 74, 67, 11, 28, 93]

Pass 2:
  Compare -41 and -45
  Swap -41 and -45
  List after swap: [-45, -41, 74, 67, 11, 28, 93]
  Compare -41 and 74
  No swap needed
  Compare 74 and 67
  Swap 74 and 67
  List after swap: [-45, -41, 67, 74, 11, 28, 93]
  Compare 74 and 11
  Swap 74 and 11
  List after swap: [-45, -41, 67, 11, 74, 28, 93]
  Compare 74 and 28
  Swap 74 and 28
  List after swap: [-45, -41, 67, 11, 28, 74, 93]

Pass 3:
  Compare -45 and -41
  No swap needed
  Compare -41 and 67
  No swap needed
  Compare 67 and 11
  Swap 67 and 11
  List after swap: [-45, -41, 11, 67, 28, 74, 93]
  Compare 67 and 28
  Swap 67 and 28
  List after swap: [-45, -41, 11, 28, 67, 74, 93]

Pass 4:
  Compare -45 and -41
  No swap needed
  Compare -41 and 11
  No swap needed
  Compare 11 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-45, -41, 11, 28, 67, 74, 93]
</think>

<response>-45, -41, 11, 28, 67, 74, 93</response>


input: Sort the list 61, -53, 93, 22, -54, -100, -52 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [61, -53, 93, 22, -54, -100, -52]

Pass 1:
  Compare 61 and -53
  Swap 61 and -53
  List after swap: [-53, 61, 93, 22, -54, -100, -52]
  Compare 61 and 93
  No swap needed
  Compare 93 and 22
  Swap 93 and 22
  List after swap: [-53, 61, 22, 93, -54, -100, -52]
  Compare 93 and -54
  Swap 93 and -54
  List after swap: [-53, 61, 22, -54, 93, -100, -52]
  Compare 93 and -100
  Swap 93 and -100
  List after swap: [-53, 61, 22, -54, -100, 93, -52]
  Compare 93 and -52
  Swap 93 and -52
  List after swap: [-53, 61, 22, -54, -100, -52, 93]

Pass 2:
  Compare -53 and 61
  No swap needed
  Compare 61 and 22
  Swap 61 and 22
  List after swap: [-53, 22, 61, -54, -100, -52, 93]
  Compare 61 and -54
  Swap 61 and -54
  List after swap: [-53, 22, -54, 61, -100, -52, 93]
  Compare 61 and -100
  Swap 61 and -100
  List after swap: [-53, 22, -54, -100, 61, -52, 93]
  Compare 61 and -52
  Swap 61 and -52
  List after swap: [-53, 22, -54, -100, -52, 61, 93]

Pass 3:
  Compare -53 and 22
  No swap needed
  Compare 22 and -54
  Swap 22 and -54
  List after swap: [-53, -54, 22, -100, -52, 61, 93]
  Compare 22 and -100
  Swap 22 and -100
  List after swap: [-53, -54, -100, 22, -52, 61, 93]
  Compare 22 and -52
  Swap 22 and -52
  List after swap: [-53, -54, -100, -52, 22, 61, 93]

Pass 4:
  Compare -53 and -54
  Swap -53 and -54
  List after swap: [-54, -53, -100, -52, 22, 61, 93]
  Compare -53 and -100
  Swap -53 and -100
  List after swap: [-54, -100, -53, -52, 22, 61, 93]
  Compare -53 and -52
  No swap needed

Pass 5:
  Compare -54 and -100
  Swap -54 and -100
  List after swap: [-100, -54, -53, -52, 22, 61, 93]
  Compare -54 and -53
  No swap needed

Pass 6:
  Compare -100 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -54, -53, -52, 22, 61, 93]
</think>

<response>-100, -54, -53, -52, 22, 61, 93</response>


input: Sort the list -51, 28, 71, 47 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-51, 28, 71, 47]

Pass 1:
  Compare -51 and 28
  No swap needed
  Compare 28 and 71
  No swap needed
  Compare 71 and 47
  Swap 71 and 47
  List after swap: [-51, 28, 47, 71]

Pass 2:
  Compare -51 and 28
  No swap needed
  Compare 28 and 47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-51, 28, 47, 71]
</think>

<response>-51, 28, 47, 71</response>


input: Using the bubble sort method, sort -55, -58, 58, -18, -56, 22, 17, -52, -39, 78 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-55, -58, 58, -18, -56, 22, 17, -52, -39, 78]

Pass 1:
  Compare -55 and -58
  Swap -55 and -58
  List after swap: [-58, -55, 58, -18, -56, 22, 17, -52, -39, 78]
  Compare -55 and 58
  No swap needed
  Compare 58 and -18
  Swap 58 and -18
  List after swap: [-58, -55, -18, 58, -56, 22, 17, -52, -39, 78]
  Compare 58 and -56
  Swap 58 and -56
  List after swap: [-58, -55, -18, -56, 58, 22, 17, -52, -39, 78]
  Compare 58 and 22
  Swap 58 and 22
  List after swap: [-58, -55, -18, -56, 22, 58, 17, -52, -39, 78]
  Compare 58 and 17
  Swap 58 and 17
  List after swap: [-58, -55, -18, -56, 22, 17, 58, -52, -39, 78]
  Compare 58 and -52
  Swap 58 and -52
  List after swap: [-58, -55, -18, -56, 22, 17, -52, 58, -39, 78]
  Compare 58 and -39
  Swap 58 and -39
  List after swap: [-58, -55, -18, -56, 22, 17, -52, -39, 58, 78]
  Compare 58 and 78
  No swap needed

Pass 2:
  Compare -58 and -55
  No swap needed
  Compare -55 and -18
  No swap needed
  Compare -18 and -56
  Swap -18 and -56
  List after swap: [-58, -55, -56, -18, 22, 17, -52, -39, 58, 78]
  Compare -18 and 22
  No swap needed
  Compare 22 and 17
  Swap 22 and 17
  List after swap: [-58, -55, -56, -18, 17, 22, -52, -39, 58, 78]
  Compare 22 and -52
  Swap 22 and -52
  List after swap: [-58, -55, -56, -18, 17, -52, 22, -39, 58, 78]
  Compare 22 and -39
  Swap 22 and -39
  List after swap: [-58, -55, -56, -18, 17, -52, -39, 22, 58, 78]
  Compare 22 and 58
  No swap needed

Pass 3:
  Compare -58 and -55
  No swap needed
  Compare -55 and -56
  Swap -55 and -56
  List after swap: [-58, -56, -55, -18, 17, -52, -39, 22, 58, 78]
  Compare -55 and -18
  No swap needed
  Compare -18 and 17
  No swap needed
  Compare 17 and -52
  Swap 17 and -52
  List after swap: [-58, -56, -55, -18, -52, 17, -39, 22, 58, 78]
  Compare 17 and -39
  Swap 17 and -39
  List after swap: [-58, -56, -55, -18, -52, -39, 17, 22, 58, 78]
  Compare 17 and 22
  No swap needed

Pass 4:
  Compare -58 and -56
  No swap needed
  Compare -56 and -55
  No swap needed
  Compare -55 and -18
  No swap needed
  Compare -18 and -52
  Swap -18 and -52
  List after swap: [-58, -56, -55, -52, -18, -39, 17, 22, 58, 78]
  Compare -18 and -39
  Swap -18 and -39
  List after swap: [-58, -56, -55, -52, -39, -18, 17, 22, 58, 78]
  Compare -18 and 17
  No swap needed

Pass 5:
  Compare -58 and -56
  No swap needed
  Compare -56 and -55
  No swap needed
  Compare -55 and -52
  No swap needed
  Compare -52 and -39
  No swap needed
  Compare -39 and -18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -56, -55, -52, -39, -18, 17, 22, 58, 78]
</think>

<response>-58, -56, -55, -52, -39, -18, 17, 22, 58, 78</response>


input: Execute bubble sort to sort -43, 51, 23, -81, -91, 22, -52, 15, 38 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-43, 51, 23, -81, -91, 22, -52, 15, 38]

Pass 1:
  Compare -43 and 51
  No swap needed
  Compare 51 and 23
  Swap 51 and 23
  List after swap: [-43, 23, 51, -81, -91, 22, -52, 15, 38]
  Compare 51 and -81
  Swap 51 and -81
  List after swap: [-43, 23, -81, 51, -91, 22, -52, 15, 38]
  Compare 51 and -91
  Swap 51 and -91
  List after swap: [-43, 23, -81, -91, 51, 22, -52, 15, 38]
  Compare 51 and 22
  Swap 51 and 22
  List after swap: [-43, 23, -81, -91, 22, 51, -52, 15, 38]
  Compare 51 and -52
  Swap 51 and -52
  List after swap: [-43, 23, -81, -91, 22, -52, 51, 15, 38]
  Compare 51 and 15
  Swap 51 and 15
  List after swap: [-43, 23, -81, -91, 22, -52, 15, 51, 38]
  Compare 51 and 38
  Swap 51 and 38
  List after swap: [-43, 23, -81, -91, 22, -52, 15, 38, 51]

Pass 2:
  Compare -43 and 23
  No swap needed
  Compare 23 and -81
  Swap 23 and -81
  List after swap: [-43, -81, 23, -91, 22, -52, 15, 38, 51]
  Compare 23 and -91
  Swap 23 and -91
  List after swap: [-43, -81, -91, 23, 22, -52, 15, 38, 51]
  Compare 23 and 22
  Swap 23 and 22
  List after swap: [-43, -81, -91, 22, 23, -52, 15, 38, 51]
  Compare 23 and -52
  Swap 23 and -52
  List after swap: [-43, -81, -91, 22, -52, 23, 15, 38, 51]
  Compare 23 and 15
  Swap 23 and 15
  List after swap: [-43, -81, -91, 22, -52, 15, 23, 38, 51]
  Compare 23 and 38
  No swap needed

Pass 3:
  Compare -43 and -81
  Swap -43 and -81
  List after swap: [-81, -43, -91, 22, -52, 15, 23, 38, 51]
  Compare -43 and -91
  Swap -43 and -91
  List after swap: [-81, -91, -43, 22, -52, 15, 23, 38, 51]
  Compare -43 and 22
  No swap needed
  Compare 22 and -52
  Swap 22 and -52
  List after swap: [-81, -91, -43, -52, 22, 15, 23, 38, 51]
  Compare 22 and 15
  Swap 22 and 15
  List after swap: [-81, -91, -43, -52, 15, 22, 23, 38, 51]
  Compare 22 and 23
  No swap needed

Pass 4:
  Compare -81 and -91
  Swap -81 and -91
  List after swap: [-91, -81, -43, -52, 15, 22, 23, 38, 51]
  Compare -81 and -43
  No swap needed
  Compare -43 and -52
  Swap -43 and -52
  List after swap: [-91, -81, -52, -43, 15, 22, 23, 38, 51]
  Compare -43 and 15
  No swap needed
  Compare 15 and 22
  No swap needed

Pass 5:
  Compare -91 and -81
  No swap needed
  Compare -81 and -52
  No swap needed
  Compare -52 and -43
  No swap needed
  Compare -43 and 15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -81, -52, -43, 15, 22, 23, 38, 51]
</think>

<response>-91, -81, -52, -43, 15, 22, 23, 38, 51</response>


input: Use the bubble sort technique to reorder 83, 91, -54 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [83, 91, -54]

Pass 1:
  Compare 83 and 91
  No swap needed
  Compare 91 and -54
  Swap 91 and -54
  List after swap: [83, -54, 91]

Pass 2:
  Compare 83 and -54
  Swap 83 and -54
  List after swap: [-54, 83, 91]

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

Final sorted list: [-54, 83, 91]
</think>

<response>-54, 83, 91</response>


input: Use the bubble sort technique to reorder 35, 94, -16 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [35, 94, -16]

Pass 1:
  Compare 35 and 94
  No swap needed
  Compare 94 and -16
  Swap 94 and -16
  List after swap: [35, -16, 94]

Pass 2:
  Compare 35 and -16
  Swap 35 and -16
  List after swap: [-16, 35, 94]

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

Final sorted list: [-16, 35, 94]
</think>

<response>-16, 35, 94</response>


input: Using the bubble sort method, sort 83, -31, -66, -74, 16, -63, 18, 5, 77 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [83, -31, -66, -74, 16, -63, 18, 5, 77]

Pass 1:
  Compare 83 and -31
  Swap 83 and -31
  List after swap: [-31, 83, -66, -74, 16, -63, 18, 5, 77]
  Compare 83 and -66
  Swap 83 and -66
  List after swap: [-31, -66, 83, -74, 16, -63, 18, 5, 77]
  Compare 83 and -74
  Swap 83 and -74
  List after swap: [-31, -66, -74, 83, 16, -63, 18, 5, 77]
  Compare 83 and 16
  Swap 83 and 16
  List after swap: [-31, -66, -74, 16, 83, -63, 18, 5, 77]
  Compare 83 and -63
  Swap 83 and -63
  List after swap: [-31, -66, -74, 16, -63, 83, 18, 5, 77]
  Compare 83 and 18
  Swap 83 and 18
  List after swap: [-31, -66, -74, 16, -63, 18, 83, 5, 77]
  Compare 83 and 5
  Swap 83 and 5
  List after swap: [-31, -66, -74, 16, -63, 18, 5, 83, 77]
  Compare 83 and 77
  Swap 83 and 77
  List after swap: [-31, -66, -74, 16, -63, 18, 5, 77, 83]

Pass 2:
  Compare -31 and -66
  Swap -31 and -66
  List after swap: [-66, -31, -74, 16, -63, 18, 5, 77, 83]
  Compare -31 and -74
  Swap -31 and -74
  List after swap: [-66, -74, -31, 16, -63, 18, 5, 77, 83]
  Compare -31 and 16
  No swap needed
  Compare 16 and -63
  Swap 16 and -63
  List after swap: [-66, -74, -31, -63, 16, 18, 5, 77, 83]
  Compare 16 and 18
  No swap needed
  Compare 18 and 5
  Swap 18 and 5
  List after swap: [-66, -74, -31, -63, 16, 5, 18, 77, 83]
  Compare 18 and 77
  No swap needed

Pass 3:
  Compare -66 and -74
  Swap -66 and -74
  List after swap: [-74, -66, -31, -63, 16, 5, 18, 77, 83]
  Compare -66 and -31
  No swap needed
  Compare -31 and -63
  Swap -31 and -63
  List after swap: [-74, -66, -63, -31, 16, 5, 18, 77, 83]
  Compare -31 and 16
  No swap needed
  Compare 16 and 5
  Swap 16 and 5
  List after swap: [-74, -66, -63, -31, 5, 16, 18, 77, 83]
  Compare 16 and 18
  No swap needed

Pass 4:
  Compare -74 and -66
  No swap needed
  Compare -66 and -63
  No swap needed
  Compare -63 and -31
  No swap needed
  Compare -31 and 5
  No swap needed
  Compare 5 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -66, -63, -31, 5, 16, 18, 77, 83]
</think>

<response>-74, -66, -63, -31, 5, 16, 18, 77, 83</response>


input: Use the bubble sort technique to reorder -88, -13, -82, 94, -53, 14, 87, 76 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-88, -13, -82, 94, -53, 14, 87, 76]

Pass 1:
  Compare -88 and -13
  No swap needed
  Compare -13 and -82
  Swap -13 and -82
  List after swap: [-88, -82, -13, 94, -53, 14, 87, 76]
  Compare -13 and 94
  No swap needed
  Compare 94 and -53
  Swap 94 and -53
  List after swap: [-88, -82, -13, -53, 94, 14, 87, 76]
  Compare 94 and 14
  Swap 94 and 14
  List after swap: [-88, -82, -13, -53, 14, 94, 87, 76]
  Compare 94 and 87
  Swap 94 and 87
  List after swap: [-88, -82, -13, -53, 14, 87, 94, 76]
  Compare 94 and 76
  Swap 94 and 76
  List after swap: [-88, -82, -13, -53, 14, 87, 76, 94]

Pass 2:
  Compare -88 and -82
  No swap needed
  Compare -82 and -13
  No swap needed
  Compare -13 and -53
  Swap -13 and -53
  List after swap: [-88, -82, -53, -13, 14, 87, 76, 94]
  Compare -13 and 14
  No swap needed
  Compare 14 and 87
  No swap needed
  Compare 87 and 76
  Swap 87 and 76
  List after swap: [-88, -82, -53, -13, 14, 76, 87, 94]

Pass 3:
  Compare -88 and -82
  No swap needed
  Compare -82 and -53
  No swap needed
  Compare -53 and -13
  No swap needed
  Compare -13 and 14
  No swap needed
  Compare 14 and 76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -82, -53, -13, 14, 76, 87, 94]
</think>

<response>-88, -82, -53, -13, 14, 76, 87, 94</response>


input: Using the bubble sort method, sort 37, 41, 90 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [37, 41, 90]

Pass 1:
  Compare 37 and 41
  No swap needed
  Compare 41 and 90
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [37, 41, 90]
</think>

<response>37, 41, 90</response>


input: Execute bubble sort to sort 71, -41, -64, -73, -16 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [71, -41, -64, -73, -16]

Pass 1:
  Compare 71 and -41
  Swap 71 and -41
  List after swap: [-41, 71, -64, -73, -16]
  Compare 71 and -64
  Swap 71 and -64
  List after swap: [-41, -64, 71, -73, -16]
  Compare 71 and -73
  Swap 71 and -73
  List after swap: [-41, -64, -73, 71, -16]
  Compare 71 and -16
  Swap 71 and -16
  List after swap: [-41, -64, -73, -16, 71]

Pass 2:
  Compare -41 and -64
  Swap -41 and -64
  List after swap: [-64, -41, -73, -16, 71]
  Compare -41 and -73
  Swap -41 and -73
  List after swap: [-64, -73, -41, -16, 71]
  Compare -41 and -16
  No swap needed

Pass 3:
  Compare -64 and -73
  Swap -64 and -73
  List after swap: [-73, -64, -41, -16, 71]
  Compare -64 and -41
  No swap needed

Pass 4:
  Compare -73 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -64, -41, -16, 71]
</think>

<response>-73, -64, -41, -16, 71</response>


input: Implement bubble sort on -26, -43 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-26, -43]

Pass 1:
  Compare -26 and -43
  Swap -26 and -43
  List after swap: [-43, -26]

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

Final sorted list: [-43, -26]
</think>

<response>-43, -26</response>


input: Sort these integers 6, 87 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [6, 87]

Pass 1:
  Compare 6 and 87
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [6, 87]
</think>

<response>6, 87</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 78, 83, -64, 62, 26, -71, 84, -40, 2, 37.

output:
<think>
Initial list: [78, 83, -64, 62, 26, -71, 84, -40, 2, 37]

Pass 1:
  Compare 78 and 83
  No swap needed
  Compare 83 and -64
  Swap 83 and -64
  List after swap: [78, -64, 83, 62, 26, -71, 84, -40, 2, 37]
  Compare 83 and 62
  Swap 83 and 62
  List after swap: [78, -64, 62, 83, 26, -71, 84, -40, 2, 37]
  Compare 83 and 26
  Swap 83 and 26
  List after swap: [78, -64, 62, 26, 83, -71, 84, -40, 2, 37]
  Compare 83 and -71
  Swap 83 and -71
  List after swap: [78, -64, 62, 26, -71, 83, 84, -40, 2, 37]
  Compare 83 and 84
  No swap needed
  Compare 84 and -40
  Swap 84 and -40
  List after swap: [78, -64, 62, 26, -71, 83, -40, 84, 2, 37]
  Compare 84 and 2
  Swap 84 and 2
  List after swap: [78, -64, 62, 26, -71, 83, -40, 2, 84, 37]
  Compare 84 and 37
  Swap 84 and 37
  List after swap: [78, -64, 62, 26, -71, 83, -40, 2, 37, 84]

Pass 2:
  Compare 78 and -64
  Swap 78 and -64
  List after swap: [-64, 78, 62, 26, -71, 83, -40, 2, 37, 84]
  Compare 78 and 62
  Swap 78 and 62
  List after swap: [-64, 62, 78, 26, -71, 83, -40, 2, 37, 84]
  Compare 78 and 26
  Swap 78 and 26
  List after swap: [-64, 62, 26, 78, -71, 83, -40, 2, 37, 84]
  Compare 78 and -71
  Swap 78 and -71
  List after swap: [-64, 62, 26, -71, 78, 83, -40, 2, 37, 84]
  Compare 78 and 83
  No swap needed
  Compare 83 and -40
  Swap 83 and -40
  List after swap: [-64, 62, 26, -71, 78, -40, 83, 2, 37, 84]
  Compare 83 and 2
  Swap 83 and 2
  List after swap: [-64, 62, 26, -71, 78, -40, 2, 83, 37, 84]
  Compare 83 and 37
  Swap 83 and 37
  List after swap: [-64, 62, 26, -71, 78, -40, 2, 37, 83, 84]

Pass 3:
  Compare -64 and 62
  No swap needed
  Compare 62 and 26
  Swap 62 and 26
  List after swap: [-64, 26, 62, -71, 78, -40, 2, 37, 83, 84]
  Compare 62 and -71
  Swap 62 and -71
  List after swap: [-64, 26, -71, 62, 78, -40, 2, 37, 83, 84]
  Compare 62 and 78
  No swap needed
  Compare 78 and -40
  Swap 78 and -40
  List after swap: [-64, 26, -71, 62, -40, 78, 2, 37, 83, 84]
  Compare 78 and 2
  Swap 78 and 2
  List after swap: [-64, 26, -71, 62, -40, 2, 78, 37, 83, 84]
  Compare 78 and 37
  Swap 78 and 37
  List after swap: [-64, 26, -71, 62, -40, 2, 37, 78, 83, 84]

Pass 4:
  Compare -64 and 26
  No swap needed
  Compare 26 and -71
  Swap 26 and -71
  List after swap: [-64, -71, 26, 62, -40, 2, 37, 78, 83, 84]
  Compare 26 and 62
  No swap needed
  Compare 62 and -40
  Swap 62 and -40
  List after swap: [-64, -71, 26, -40, 62, 2, 37, 78, 83, 84]
  Compare 62 and 2
  Swap 62 and 2
  List after swap: [-64, -71, 26, -40, 2, 62, 37, 78, 83, 84]
  Compare 62 and 37
  Swap 62 and 37
  List after swap: [-64, -71, 26, -40, 2, 37, 62, 78, 83, 84]

Pass 5:
  Compare -64 and -71
  Swap -64 and -71
  List after swap: [-71, -64, 26, -40, 2, 37, 62, 78, 83, 84]
  Compare -64 and 26
  No swap needed
  Compare 26 and -40
  Swap 26 and -40
  List after swap: [-71, -64, -40, 26, 2, 37, 62, 78, 83, 84]
  Compare 26 and 2
  Swap 26 and 2
  List after swap: [-71, -64, -40, 2, 26, 37, 62, 78, 83, 84]
  Compare 26 and 37
  No swap needed

Pass 6:
  Compare -71 and -64
  No swap needed
  Compare -64 and -40
  No swap needed
  Compare -40 and 2
  No swap needed
  Compare 2 and 26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -64, -40, 2, 26, 37, 62, 78, 83, 84]
</think>

<response>-71, -64, -40, 2, 26, 37, 62, 78, 83, 84</response>


input: Sort these integers 42, -20, -57, 53, -70, -67, -89, 99, -19 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [42, -20, -57, 53, -70, -67, -89, 99, -19]

Pass 1:
  Compare 42 and -20
  Swap 42 and -20
  List after swap: [-20, 42, -57, 53, -70, -67, -89, 99, -19]
  Compare 42 and -57
  Swap 42 and -57
  List after swap: [-20, -57, 42, 53, -70, -67, -89, 99, -19]
  Compare 42 and 53
  No swap needed
  Compare 53 and -70
  Swap 53 and -70
  List after swap: [-20, -57, 42, -70, 53, -67, -89, 99, -19]
  Compare 53 and -67
  Swap 53 and -67
  List after swap: [-20, -57, 42, -70, -67, 53, -89, 99, -19]
  Compare 53 and -89
  Swap 53 and -89
  List after swap: [-20, -57, 42, -70, -67, -89, 53, 99, -19]
  Compare 53 and 99
  No swap needed
  Compare 99 and -19
  Swap 99 and -19
  List after swap: [-20, -57, 42, -70, -67, -89, 53, -19, 99]

Pass 2:
  Compare -20 and -57
  Swap -20 and -57
  List after swap: [-57, -20, 42, -70, -67, -89, 53, -19, 99]
  Compare -20 and 42
  No swap needed
  Compare 42 and -70
  Swap 42 and -70
  List after swap: [-57, -20, -70, 42, -67, -89, 53, -19, 99]
  Compare 42 and -67
  Swap 42 and -67
  List after swap: [-57, -20, -70, -67, 42, -89, 53, -19, 99]
  Compare 42 and -89
  Swap 42 and -89
  List after swap: [-57, -20, -70, -67, -89, 42, 53, -19, 99]
  Compare 42 and 53
  No swap needed
  Compare 53 and -19
  Swap 53 and -19
  List after swap: [-57, -20, -70, -67, -89, 42, -19, 53, 99]

Pass 3:
  Compare -57 and -20
  No swap needed
  Compare -20 and -70
  Swap -20 and -70
  List after swap: [-57, -70, -20, -67, -89, 42, -19, 53, 99]
  Compare -20 and -67
  Swap -20 and -67
  List after swap: [-57, -70, -67, -20, -89, 42, -19, 53, 99]
  Compare -20 and -89
  Swap -20 and -89
  List after swap: [-57, -70, -67, -89, -20, 42, -19, 53, 99]
  Compare -20 and 42
  No swap needed
  Compare 42 and -19
  Swap 42 and -19
  List after swap: [-57, -70, -67, -89, -20, -19, 42, 53, 99]

Pass 4:
  Compare -57 and -70
  Swap -57 and -70
  List after swap: [-70, -57, -67, -89, -20, -19, 42, 53, 99]
  Compare -57 and -67
  Swap -57 and -67
  List after swap: [-70, -67, -57, -89, -20, -19, 42, 53, 99]
  Compare -57 and -89
  Swap -57 and -89
  List after swap: [-70, -67, -89, -57, -20, -19, 42, 53, 99]
  Compare -57 and -20
  No swap needed
  Compare -20 and -19
  No swap needed

Pass 5:
  Compare -70 and -67
  No swap needed
  Compare -67 and -89
  Swap -67 and -89
  List after swap: [-70, -89, -67, -57, -20, -19, 42, 53, 99]
  Compare -67 and -57
  No swap needed
  Compare -57 and -20
  No swap needed

Pass 6:
  Compare -70 and -89
  Swap -70 and -89
  List after swap: [-89, -70, -67, -57, -20, -19, 42, 53, 99]
  Compare -70 and -67
  No swap needed
  Compare -67 and -57
  No swap needed

Pass 7:
  Compare -89 and -70
  No swap needed
  Compare -70 and -67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -70, -67, -57, -20, -19, 42, 53, 99]
</think>

<response>-89, -70, -67, -57, -20, -19, 42, 53, 99</response>


input: Demonstrate how bubble sort orders the integers 86, -5, -62, -53, -95, -75, 39, -28, -93, -58 in ascending sequence, showing all steps.

output:
<think>
Initial list: [86, -5, -62, -53, -95, -75, 39, -28, -93, -58]

Pass 1:
  Compare 86 and -5
  Swap 86 and -5
  List after swap: [-5, 86, -62, -53, -95, -75, 39, -28, -93, -58]
  Compare 86 and -62
  Swap 86 and -62
  List after swap: [-5, -62, 86, -53, -95, -75, 39, -28, -93, -58]
  Compare 86 and -53
  Swap 86 and -53
  List after swap: [-5, -62, -53, 86, -95, -75, 39, -28, -93, -58]
  Compare 86 and -95
  Swap 86 and -95
  List after swap: [-5, -62, -53, -95, 86, -75, 39, -28, -93, -58]
  Compare 86 and -75
  Swap 86 and -75
  List after swap: [-5, -62, -53, -95, -75, 86, 39, -28, -93, -58]
  Compare 86 and 39
  Swap 86 and 39
  List after swap: [-5, -62, -53, -95, -75, 39, 86, -28, -93, -58]
  Compare 86 and -28
  Swap 86 and -28
  List after swap: [-5, -62, -53, -95, -75, 39, -28, 86, -93, -58]
  Compare 86 and -93
  Swap 86 and -93
  List after swap: [-5, -62, -53, -95, -75, 39, -28, -93, 86, -58]
  Compare 86 and -58
  Swap 86 and -58
  List after swap: [-5, -62, -53, -95, -75, 39, -28, -93, -58, 86]

Pass 2:
  Compare -5 and -62
  Swap -5 and -62
  List after swap: [-62, -5, -53, -95, -75, 39, -28, -93, -58, 86]
  Compare -5 and -53
  Swap -5 and -53
  List after swap: [-62, -53, -5, -95, -75, 39, -28, -93, -58, 86]
  Compare -5 and -95
  Swap -5 and -95
  List after swap: [-62, -53, -95, -5, -75, 39, -28, -93, -58, 86]
  Compare -5 and -75
  Swap -5 and -75
  List after swap: [-62, -53, -95, -75, -5, 39, -28, -93, -58, 86]
  Compare -5 and 39
  No swap needed
  Compare 39 and -28
  Swap 39 and -28
  List after swap: [-62, -53, -95, -75, -5, -28, 39, -93, -58, 86]
  Compare 39 and -93
  Swap 39 and -93
  List after swap: [-62, -53, -95, -75, -5, -28, -93, 39, -58, 86]
  Compare 39 and -58
  Swap 39 and -58
  List after swap: [-62, -53, -95, -75, -5, -28, -93, -58, 39, 86]

Pass 3:
  Compare -62 and -53
  No swap needed
  Compare -53 and -95
  Swap -53 and -95
  List after swap: [-62, -95, -53, -75, -5, -28, -93, -58, 39, 86]
  Compare -53 and -75
  Swap -53 and -75
  List after swap: [-62, -95, -75, -53, -5, -28, -93, -58, 39, 86]
  Compare -53 and -5
  No swap needed
  Compare -5 and -28
  Swap -5 and -28
  List after swap: [-62, -95, -75, -53, -28, -5, -93, -58, 39, 86]
  Compare -5 and -93
  Swap -5 and -93
  List after swap: [-62, -95, -75, -53, -28, -93, -5, -58, 39, 86]
  Compare -5 and -58
  Swap -5 and -58
  List after swap: [-62, -95, -75, -53, -28, -93, -58, -5, 39, 86]

Pass 4:
  Compare -62 and -95
  Swap -62 and -95
  List after swap: [-95, -62, -75, -53, -28, -93, -58, -5, 39, 86]
  Compare -62 and -75
  Swap -62 and -75
  List after swap: [-95, -75, -62, -53, -28, -93, -58, -5, 39, 86]
  Compare -62 and -53
  No swap needed
  Compare -53 and -28
  No swap needed
  Compare -28 and -93
  Swap -28 and -93
  List after swap: [-95, -75, -62, -53, -93, -28, -58, -5, 39, 86]
  Compare -28 and -58
  Swap -28 and -58
  List after swap: [-95, -75, -62, -53, -93, -58, -28, -5, 39, 86]

Pass 5:
  Compare -95 and -75
  No swap needed
  Compare -75 and -62
  No swap needed
  Compare -62 and -53
  No swap needed
  Compare -53 and -93
  Swap -53 and -93
  List after swap: [-95, -75, -62, -93, -53, -58, -28, -5, 39, 86]
  Compare -53 and -58
  Swap -53 and -58
  List after swap: [-95, -75, -62, -93, -58, -53, -28, -5, 39, 86]

Pass 6:
  Compare -95 and -75
  No swap needed
  Compare -75 and -62
  No swap needed
  Compare -62 and -93
  Swap -62 and -93
  List after swap: [-95, -75, -93, -62, -58, -53, -28, -5, 39, 86]
  Compare -62 and -58
  No swap needed

Pass 7:
  Compare -95 and -75
  No swap needed
  Compare -75 and -93
  Swap -75 and -93
  List after swap: [-95, -93, -75, -62, -58, -53, -28, -5, 39, 86]
  Compare -75 and -62
  No swap needed

Pass 8:
  Compare -95 and -93
  No swap needed
  Compare -93 and -75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -93, -75, -62, -58, -53, -28, -5, 39, 86]
</think>

<response>-95, -93, -75, -62, -58, -53, -28, -5, 39, 86</response>


input: Perform a bubble sort on the integers -46, -45, -39, -87, -97, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-46, -45, -39, -87, -97]

Pass 1:
  Compare -46 and -45
  No swap needed
  Compare -45 and -39
  No swap needed
  Compare -39 and -87
  Swap -39 and -87
  List after swap: [-46, -45, -87, -39, -97]
  Compare -39 and -97
  Swap -39 and -97
  List after swap: [-46, -45, -87, -97, -39]

Pass 2:
  Compare -46 and -45
  No swap needed
  Compare -45 and -87
  Swap -45 and -87
  List after swap: [-46, -87, -45, -97, -39]
  Compare -45 and -97
  Swap -45 and -97
  List after swap: [-46, -87, -97, -45, -39]

Pass 3:
  Compare -46 and -87
  Swap -46 and -87
  List after swap: [-87, -46, -97, -45, -39]
  Compare -46 and -97
  Swap -46 and -97
  List after swap: [-87, -97, -46, -45, -39]

Pass 4:
  Compare -87 and -97
  Swap -87 and -97
  List after swap: [-97, -87, -46, -45, -39]

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

Final sorted list: [-97, -87, -46, -45, -39]
</think>

<response>-97, -87, -46, -45, -39</response>


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

output:
<think>
Initial list: [95, -44]

Pass 1:
  Compare 95 and -44
  Swap 95 and -44
  List after swap: [-44, 95]

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

Final sorted list: [-44, 95]
</think>

<response>-44, 95</response>


input: Perform a bubble sort on the integers -5, 90, -20, -21, 33, 30, 2, -86, 92, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-5, 90, -20, -21, 33, 30, 2, -86, 92]

Pass 1:
  Compare -5 and 90
  No swap needed
  Compare 90 and -20
  Swap 90 and -20
  List after swap: [-5, -20, 90, -21, 33, 30, 2, -86, 92]
  Compare 90 and -21
  Swap 90 and -21
  List after swap: [-5, -20, -21, 90, 33, 30, 2, -86, 92]
  Compare 90 and 33
  Swap 90 and 33
  List after swap: [-5, -20, -21, 33, 90, 30, 2, -86, 92]
  Compare 90 and 30
  Swap 90 and 30
  List after swap: [-5, -20, -21, 33, 30, 90, 2, -86, 92]
  Compare 90 and 2
  Swap 90 and 2
  List after swap: [-5, -20, -21, 33, 30, 2, 90, -86, 92]
  Compare 90 and -86
  Swap 90 and -86
  List after swap: [-5, -20, -21, 33, 30, 2, -86, 90, 92]
  Compare 90 and 92
  No swap needed

Pass 2:
  Compare -5 and -20
  Swap -5 and -20
  List after swap: [-20, -5, -21, 33, 30, 2, -86, 90, 92]
  Compare -5 and -21
  Swap -5 and -21
  List after swap: [-20, -21, -5, 33, 30, 2, -86, 90, 92]
  Compare -5 and 33
  No swap needed
  Compare 33 and 30
  Swap 33 and 30
  List after swap: [-20, -21, -5, 30, 33, 2, -86, 90, 92]
  Compare 33 and 2
  Swap 33 and 2
  List after swap: [-20, -21, -5, 30, 2, 33, -86, 90, 92]
  Compare 33 and -86
  Swap 33 and -86
  List after swap: [-20, -21, -5, 30, 2, -86, 33, 90, 92]
  Compare 33 and 90
  No swap needed

Pass 3:
  Compare -20 and -21
  Swap -20 and -21
  List after swap: [-21, -20, -5, 30, 2, -86, 33, 90, 92]
  Compare -20 and -5
  No swap needed
  Compare -5 and 30
  No swap needed
  Compare 30 and 2
  Swap 30 and 2
  List after swap: [-21, -20, -5, 2, 30, -86, 33, 90, 92]
  Compare 30 and -86
  Swap 30 and -86
  List after swap: [-21, -20, -5, 2, -86, 30, 33, 90, 92]
  Compare 30 and 33
  No swap needed

Pass 4:
  Compare -21 and -20
  No swap needed
  Compare -20 and -5
  No swap needed
  Compare -5 and 2
  No swap needed
  Compare 2 and -86
  Swap 2 and -86
  List after swap: [-21, -20, -5, -86, 2, 30, 33, 90, 92]
  Compare 2 and 30
  No swap needed

Pass 5:
  Compare -21 and -20
  No swap needed
  Compare -20 and -5
  No swap needed
  Compare -5 and -86
  Swap -5 and -86
  List after swap: [-21, -20, -86, -5, 2, 30, 33, 90, 92]
  Compare -5 and 2
  No swap needed

Pass 6:
  Compare -21 and -20
  No swap needed
  Compare -20 and -86
  Swap -20 and -86
  List after swap: [-21, -86, -20, -5, 2, 30, 33, 90, 92]
  Compare -20 and -5
  No swap needed

Pass 7:
  Compare -21 and -86
  Swap -21 and -86
  List after swap: [-86, -21, -20, -5, 2, 30, 33, 90, 92]
  Compare -21 and -20
  No swap needed

Pass 8:
  Compare -86 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -21, -20, -5, 2, 30, 33, 90, 92]
</think>

<response>-86, -21, -20, -5, 2, 30, 33, 90, 92</response>


input: Arrange the numbers 81, -10 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [81, -10]

Pass 1:
  Compare 81 and -10
  Swap 81 and -10
  List after swap: [-10, 81]

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

Final sorted list: [-10, 81]
</think>

<response>-10, 81</response>


input: Sort these integers 13, 57, 7, 27, -32, 89, -98, -14 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [13, 57, 7, 27, -32, 89, -98, -14]

Pass 1:
  Compare 13 and 57
  No swap needed
  Compare 57 and 7
  Swap 57 and 7
  List after swap: [13, 7, 57, 27, -32, 89, -98, -14]
  Compare 57 and 27
  Swap 57 and 27
  List after swap: [13, 7, 27, 57, -32, 89, -98, -14]
  Compare 57 and -32
  Swap 57 and -32
  List after swap: [13, 7, 27, -32, 57, 89, -98, -14]
  Compare 57 and 89
  No swap needed
  Compare 89 and -98
  Swap 89 and -98
  List after swap: [13, 7, 27, -32, 57, -98, 89, -14]
  Compare 89 and -14
  Swap 89 and -14
  List after swap: [13, 7, 27, -32, 57, -98, -14, 89]

Pass 2:
  Compare 13 and 7
  Swap 13 and 7
  List after swap: [7, 13, 27, -32, 57, -98, -14, 89]
  Compare 13 and 27
  No swap needed
  Compare 27 and -32
  Swap 27 and -32
  List after swap: [7, 13, -32, 27, 57, -98, -14, 89]
  Compare 27 and 57
  No swap needed
  Compare 57 and -98
  Swap 57 and -98
  List after swap: [7, 13, -32, 27, -98, 57, -14, 89]
  Compare 57 and -14
  Swap 57 and -14
  List after swap: [7, 13, -32, 27, -98, -14, 57, 89]

Pass 3:
  Compare 7 and 13
  No swap needed
  Compare 13 and -32
  Swap 13 and -32
  List after swap: [7, -32, 13, 27, -98, -14, 57, 89]
  Compare 13 and 27
  No swap needed
  Compare 27 and -98
  Swap 27 and -98
  List after swap: [7, -32, 13, -98, 27, -14, 57, 89]
  Compare 27 and -14
  Swap 27 and -14
  List after swap: [7, -32, 13, -98, -14, 27, 57, 89]

Pass 4:
  Compare 7 and -32
  Swap 7 and -32
  List after swap: [-32, 7, 13, -98, -14, 27, 57, 89]
  Compare 7 and 13
  No swap needed
  Compare 13 and -98
  Swap 13 and -98
  List after swap: [-32, 7, -98, 13, -14, 27, 57, 89]
  Compare 13 and -14
  Swap 13 and -14
  List after swap: [-32, 7, -98, -14, 13, 27, 57, 89]

Pass 5:
  Compare -32 and 7
  No swap needed
  Compare 7 and -98
  Swap 7 and -98
  List after swap: [-32, -98, 7, -14, 13, 27, 57, 89]
  Compare 7 and -14
  Swap 7 and -14
  List after swap: [-32, -98, -14, 7, 13, 27, 57, 89]

Pass 6:
  Compare -32 and -98
  Swap -32 and -98
  List after swap: [-98, -32, -14, 7, 13, 27, 57, 89]
  Compare -32 and -14
  No swap needed

Pass 7:
  Compare -98 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -32, -14, 7, 13, 27, 57, 89]
</think>

<response>-98, -32, -14, 7, 13, 27, 57, 89</response>


input: Perform a bubble sort on the integers 77, -30, 39, -25, 26, 88, 28, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [77, -30, 39, -25, 26, 88, 28]

Pass 1:
  Compare 77 and -30
  Swap 77 and -30
  List after swap: [-30, 77, 39, -25, 26, 88, 28]
  Compare 77 and 39
  Swap 77 and 39
  List after swap: [-30, 39, 77, -25, 26, 88, 28]
  Compare 77 and -25
  Swap 77 and -25
  List after swap: [-30, 39, -25, 77, 26, 88, 28]
  Compare 77 and 26
  Swap 77 and 26
  List after swap: [-30, 39, -25, 26, 77, 88, 28]
  Compare 77 and 88
  No swap needed
  Compare 88 and 28
  Swap 88 and 28
  List after swap: [-30, 39, -25, 26, 77, 28, 88]

Pass 2:
  Compare -30 and 39
  No swap needed
  Compare 39 and -25
  Swap 39 and -25
  List after swap: [-30, -25, 39, 26, 77, 28, 88]
  Compare 39 and 26
  Swap 39 and 26
  List after swap: [-30, -25, 26, 39, 77, 28, 88]
  Compare 39 and 77
  No swap needed
  Compare 77 and 28
  Swap 77 and 28
  List after swap: [-30, -25, 26, 39, 28, 77, 88]

Pass 3:
  Compare -30 and -25
  No swap needed
  Compare -25 and 26
  No swap needed
  Compare 26 and 39
  No swap needed
  Compare 39 and 28
  Swap 39 and 28
  List after swap: [-30, -25, 26, 28, 39, 77, 88]

Pass 4:
  Compare -30 and -25
  No swap needed
  Compare -25 and 26
  No swap needed
  Compare 26 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-30, -25, 26, 28, 39, 77, 88]
</think>

<response>-30, -25, 26, 28, 39, 77, 88</response>


input: Demonstrate how bubble sort orders the integers 6, 19, -25, -85, -48 in ascending sequence, showing all steps.

output:
<think>
Initial list: [6, 19, -25, -85, -48]

Pass 1:
  Compare 6 and 19
  No swap needed
  Compare 19 and -25
  Swap 19 and -25
  List after swap: [6, -25, 19, -85, -48]
  Compare 19 and -85
  Swap 19 and -85
  List after swap: [6, -25, -85, 19, -48]
  Compare 19 and -48
  Swap 19 and -48
  List after swap: [6, -25, -85, -48, 19]

Pass 2:
  Compare 6 and -25
  Swap 6 and -25
  List after swap: [-25, 6, -85, -48, 19]
  Compare 6 and -85
  Swap 6 and -85
  List after swap: [-25, -85, 6, -48, 19]
  Compare 6 and -48
  Swap 6 and -48
  List after swap: [-25, -85, -48, 6, 19]

Pass 3:
  Compare -25 and -85
  Swap -25 and -85
  List after swap: [-85, -25, -48, 6, 19]
  Compare -25 and -48
  Swap -25 and -48
  List after swap: [-85, -48, -25, 6, 19]

Pass 4:
  Compare -85 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -48, -25, 6, 19]
</think>

<response>-85, -48, -25, 6, 19</response>


input: Carry out the bubble sort algorithm on 30, 53, 25, 84, -80, 8 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [30, 53, 25, 84, -80, 8]

Pass 1:
  Compare 30 and 53
  No swap needed
  Compare 53 and 25
  Swap 53 and 25
  List after swap: [30, 25, 53, 84, -80, 8]
  Compare 53 and 84
  No swap needed
  Compare 84 and -80
  Swap 84 and -80
  List after swap: [30, 25, 53, -80, 84, 8]
  Compare 84 and 8
  Swap 84 and 8
  List after swap: [30, 25, 53, -80, 8, 84]

Pass 2:
  Compare 30 and 25
  Swap 30 and 25
  List after swap: [25, 30, 53, -80, 8, 84]
  Compare 30 and 53
  No swap needed
  Compare 53 and -80
  Swap 53 and -80
  List after swap: [25, 30, -80, 53, 8, 84]
  Compare 53 and 8
  Swap 53 and 8
  List after swap: [25, 30, -80, 8, 53, 84]

Pass 3:
  Compare 25 and 30
  No swap needed
  Compare 30 and -80
  Swap 30 and -80
  List after swap: [25, -80, 30, 8, 53, 84]
  Compare 30 and 8
  Swap 30 and 8
  List after swap: [25, -80, 8, 30, 53, 84]

Pass 4:
  Compare 25 and -80
  Swap 25 and -80
  List after swap: [-80, 25, 8, 30, 53, 84]
  Compare 25 and 8
  Swap 25 and 8
  List after swap: [-80, 8, 25, 30, 53, 84]

Pass 5:
  Compare -80 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, 8, 25, 30, 53, 84]
</think>

<response>-80, 8, 25, 30, 53, 84</response>


input: Use the bubble sort technique to reorder 43, 5, 34, 73, 35, 49, -20, 87, 22 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [43, 5, 34, 73, 35, 49, -20, 87, 22]

Pass 1:
  Compare 43 and 5
  Swap 43 and 5
  List after swap: [5, 43, 34, 73, 35, 49, -20, 87, 22]
  Compare 43 and 34
  Swap 43 and 34
  List after swap: [5, 34, 43, 73, 35, 49, -20, 87, 22]
  Compare 43 and 73
  No swap needed
  Compare 73 and 35
  Swap 73 and 35
  List after swap: [5, 34, 43, 35, 73, 49, -20, 87, 22]
  Compare 73 and 49
  Swap 73 and 49
  List after swap: [5, 34, 43, 35, 49, 73, -20, 87, 22]
  Compare 73 and -20
  Swap 73 and -20
  List after swap: [5, 34, 43, 35, 49, -20, 73, 87, 22]
  Compare 73 and 87
  No swap needed
  Compare 87 and 22
  Swap 87 and 22
  List after swap: [5, 34, 43, 35, 49, -20, 73, 22, 87]

Pass 2:
  Compare 5 and 34
  No swap needed
  Compare 34 and 43
  No swap needed
  Compare 43 and 35
  Swap 43 and 35
  List after swap: [5, 34, 35, 43, 49, -20, 73, 22, 87]
  Compare 43 and 49
  No swap needed
  Compare 49 and -20
  Swap 49 and -20
  List after swap: [5, 34, 35, 43, -20, 49, 73, 22, 87]
  Compare 49 and 73
  No swap needed
  Compare 73 and 22
  Swap 73 and 22
  List after swap: [5, 34, 35, 43, -20, 49, 22, 73, 87]

Pass 3:
  Compare 5 and 34
  No swap needed
  Compare 34 and 35
  No swap needed
  Compare 35 and 43
  No swap needed
  Compare 43 and -20
  Swap 43 and -20
  List after swap: [5, 34, 35, -20, 43, 49, 22, 73, 87]
  Compare 43 and 49
  No swap needed
  Compare 49 and 22
  Swap 49 and 22
  List after swap: [5, 34, 35, -20, 43, 22, 49, 73, 87]

Pass 4:
  Compare 5 and 34
  No swap needed
  Compare 34 and 35
  No swap needed
  Compare 35 and -20
  Swap 35 and -20
  List after swap: [5, 34, -20, 35, 43, 22, 49, 73, 87]
  Compare 35 and 43
  No swap needed
  Compare 43 and 22
  Swap 43 and 22
  List after swap: [5, 34, -20, 35, 22, 43, 49, 73, 87]

Pass 5:
  Compare 5 and 34
  No swap needed
  Compare 34 and -20
  Swap 34 and -20
  List after swap: [5, -20, 34, 35, 22, 43, 49, 73, 87]
  Compare 34 and 35
  No swap needed
  Compare 35 and 22
  Swap 35 and 22
  List after swap: [5, -20, 34, 22, 35, 43, 49, 73, 87]

Pass 6:
  Compare 5 and -20
  Swap 5 and -20
  List after swap: [-20, 5, 34, 22, 35, 43, 49, 73, 87]
  Compare 5 and 34
  No swap needed
  Compare 34 and 22
  Swap 34 and 22
  List after swap: [-20, 5, 22, 34, 35, 43, 49, 73, 87]

Pass 7:
  Compare -20 and 5
  No swap needed
  Compare 5 and 22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-20, 5, 22, 34, 35, 43, 49, 73, 87]
</think>

<response>-20, 5, 22, 34, 35, 43, 49, 73, 87</response>


input: Perform a bubble sort on the integers 10, 78, -100, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [10, 78, -100]

Pass 1:
  Compare 10 and 78
  No swap needed
  Compare 78 and -100
  Swap 78 and -100
  List after swap: [10, -100, 78]

Pass 2:
  Compare 10 and -100
  Swap 10 and -100
  List after swap: [-100, 10, 78]

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

Final sorted list: [-100, 10, 78]
</think>

<response>-100, 10, 78</response>


input: Using the bubble sort method, sort 29, -82, 16 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [29, -82, 16]

Pass 1:
  Compare 29 and -82
  Swap 29 and -82
  List after swap: [-82, 29, 16]
  Compare 29 and 16
  Swap 29 and 16
  List after swap: [-82, 16, 29]

Pass 2:
  Compare -82 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, 16, 29]
</think>

<response>-82, 16, 29</response>


input: Demonstrate how bubble sort orders the integers 76, -35, -47, -59, 21, -16, -75, 79 in ascending sequence, showing all steps.

output:
<think>
Initial list: [76, -35, -47, -59, 21, -16, -75, 79]

Pass 1:
  Compare 76 and -35
  Swap 76 and -35
  List after swap: [-35, 76, -47, -59, 21, -16, -75, 79]
  Compare 76 and -47
  Swap 76 and -47
  List after swap: [-35, -47, 76, -59, 21, -16, -75, 79]
  Compare 76 and -59
  Swap 76 and -59
  List after swap: [-35, -47, -59, 76, 21, -16, -75, 79]
  Compare 76 and 21
  Swap 76 and 21
  List after swap: [-35, -47, -59, 21, 76, -16, -75, 79]
  Compare 76 and -16
  Swap 76 and -16
  List after swap: [-35, -47, -59, 21, -16, 76, -75, 79]
  Compare 76 and -75
  Swap 76 and -75
  List after swap: [-35, -47, -59, 21, -16, -75, 76, 79]
  Compare 76 and 79
  No swap needed

Pass 2:
  Compare -35 and -47
  Swap -35 and -47
  List after swap: [-47, -35, -59, 21, -16, -75, 76, 79]
  Compare -35 and -59
  Swap -35 and -59
  List after swap: [-47, -59, -35, 21, -16, -75, 76, 79]
  Compare -35 and 21
  No swap needed
  Compare 21 and -16
  Swap 21 and -16
  List after swap: [-47, -59, -35, -16, 21, -75, 76, 79]
  Compare 21 and -75
  Swap 21 and -75
  List after swap: [-47, -59, -35, -16, -75, 21, 76, 79]
  Compare 21 and 76
  No swap needed

Pass 3:
  Compare -47 and -59
  Swap -47 and -59
  List after swap: [-59, -47, -35, -16, -75, 21, 76, 79]
  Compare -47 and -35
  No swap needed
  Compare -35 and -16
  No swap needed
  Compare -16 and -75
  Swap -16 and -75
  List after swap: [-59, -47, -35, -75, -16, 21, 76, 79]
  Compare -16 and 21
  No swap needed

Pass 4:
  Compare -59 and -47
  No swap needed
  Compare -47 and -35
  No swap needed
  Compare -35 and -75
  Swap -35 and -75
  List after swap: [-59, -47, -75, -35, -16, 21, 76, 79]
  Compare -35 and -16
  No swap needed

Pass 5:
  Compare -59 and -47
  No swap needed
  Compare -47 and -75
  Swap -47 and -75
  List after swap: [-59, -75, -47, -35, -16, 21, 76, 79]
  Compare -47 and -35
  No swap needed

Pass 6:
  Compare -59 and -75
  Swap -59 and -75
  List after swap: [-75, -59, -47, -35, -16, 21, 76, 79]
  Compare -59 and -47
  No swap needed

Pass 7:
  Compare -75 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -59, -47, -35, -16, 21, 76, 79]
</think>

<response>-75, -59, -47, -35, -16, 21, 76, 79</response>


input: Using the bubble sort method, sort 4, 41, 64, 78, 40, 11, -39, -64 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [4, 41, 64, 78, 40, 11, -39, -64]

Pass 1:
  Compare 4 and 41
  No swap needed
  Compare 41 and 64
  No swap needed
  Compare 64 and 78
  No swap needed
  Compare 78 and 40
  Swap 78 and 40
  List after swap: [4, 41, 64, 40, 78, 11, -39, -64]
  Compare 78 and 11
  Swap 78 and 11
  List after swap: [4, 41, 64, 40, 11, 78, -39, -64]
  Compare 78 and -39
  Swap 78 and -39
  List after swap: [4, 41, 64, 40, 11, -39, 78, -64]
  Compare 78 and -64
  Swap 78 and -64
  List after swap: [4, 41, 64, 40, 11, -39, -64, 78]

Pass 2:
  Compare 4 and 41
  No swap needed
  Compare 41 and 64
  No swap needed
  Compare 64 and 40
  Swap 64 and 40
  List after swap: [4, 41, 40, 64, 11, -39, -64, 78]
  Compare 64 and 11
  Swap 64 and 11
  List after swap: [4, 41, 40, 11, 64, -39, -64, 78]
  Compare 64 and -39
  Swap 64 and -39
  List after swap: [4, 41, 40, 11, -39, 64, -64, 78]
  Compare 64 and -64
  Swap 64 and -64
  List after swap: [4, 41, 40, 11, -39, -64, 64, 78]

Pass 3:
  Compare 4 and 41
  No swap needed
  Compare 41 and 40
  Swap 41 and 40
  List after swap: [4, 40, 41, 11, -39, -64, 64, 78]
  Compare 41 and 11
  Swap 41 and 11
  List after swap: [4, 40, 11, 41, -39, -64, 64, 78]
  Compare 41 and -39
  Swap 41 and -39
  List after swap: [4, 40, 11, -39, 41, -64, 64, 78]
  Compare 41 and -64
  Swap 41 and -64
  List after swap: [4, 40, 11, -39, -64, 41, 64, 78]

Pass 4:
  Compare 4 and 40
  No swap needed
  Compare 40 and 11
  Swap 40 and 11
  List after swap: [4, 11, 40, -39, -64, 41, 64, 78]
  Compare 40 and -39
  Swap 40 and -39
  List after swap: [4, 11, -39, 40, -64, 41, 64, 78]
  Compare 40 and -64
  Swap 40 and -64
  List after swap: [4, 11, -39, -64, 40, 41, 64, 78]

Pass 5:
  Compare 4 and 11
  No swap needed
  Compare 11 and -39
  Swap 11 and -39
  List after swap: [4, -39, 11, -64, 40, 41, 64, 78]
  Compare 11 and -64
  Swap 11 and -64
  List after swap: [4, -39, -64, 11, 40, 41, 64, 78]

Pass 6:
  Compare 4 and -39
  Swap 4 and -39
  List after swap: [-39, 4, -64, 11, 40, 41, 64, 78]
  Compare 4 and -64
  Swap 4 and -64
  List after swap: [-39, -64, 4, 11, 40, 41, 64, 78]

Pass 7:
  Compare -39 and -64
  Swap -39 and -64
  List after swap: [-64, -39, 4, 11, 40, 41, 64, 78]

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

Final sorted list: [-64, -39, 4, 11, 40, 41, 64, 78]
</think>

<response>-64, -39, 4, 11, 40, 41, 64, 78</response>


input: Use the bubble sort technique to reorder 16, 63, 93, -57, 4, -7, -37 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [16, 63, 93, -57, 4, -7, -37]

Pass 1:
  Compare 16 and 63
  No swap needed
  Compare 63 and 93
  No swap needed
  Compare 93 and -57
  Swap 93 and -57
  List after swap: [16, 63, -57, 93, 4, -7, -37]
  Compare 93 and 4
  Swap 93 and 4
  List after swap: [16, 63, -57, 4, 93, -7, -37]
  Compare 93 and -7
  Swap 93 and -7
  List after swap: [16, 63, -57, 4, -7, 93, -37]
  Compare 93 and -37
  Swap 93 and -37
  List after swap: [16, 63, -57, 4, -7, -37, 93]

Pass 2:
  Compare 16 and 63
  No swap needed
  Compare 63 and -57
  Swap 63 and -57
  List after swap: [16, -57, 63, 4, -7, -37, 93]
  Compare 63 and 4
  Swap 63 and 4
  List after swap: [16, -57, 4, 63, -7, -37, 93]
  Compare 63 and -7
  Swap 63 and -7
  List after swap: [16, -57, 4, -7, 63, -37, 93]
  Compare 63 and -37
  Swap 63 and -37
  List after swap: [16, -57, 4, -7, -37, 63, 93]

Pass 3:
  Compare 16 and -57
  Swap 16 and -57
  List after swap: [-57, 16, 4, -7, -37, 63, 93]
  Compare 16 and 4
  Swap 16 and 4
  List after swap: [-57, 4, 16, -7, -37, 63, 93]
  Compare 16 and -7
  Swap 16 and -7
  List after swap: [-57, 4, -7, 16, -37, 63, 93]
  Compare 16 and -37
  Swap 16 and -37
  List after swap: [-57, 4, -7, -37, 16, 63, 93]

Pass 4:
  Compare -57 and 4
  No swap needed
  Compare 4 and -7
  Swap 4 and -7
  List after swap: [-57, -7, 4, -37, 16, 63, 93]
  Compare 4 and -37
  Swap 4 and -37
  List after swap: [-57, -7, -37, 4, 16, 63, 93]

Pass 5:
  Compare -57 and -7
  No swap needed
  Compare -7 and -37
  Swap -7 and -37
  List after swap: [-57, -37, -7, 4, 16, 63, 93]

Pass 6:
  Compare -57 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -37, -7, 4, 16, 63, 93]
</think>

<response>-57, -37, -7, 4, 16, 63, 93</response>


input: Implement bubble sort on 11, -69, 34 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [11, -69, 34]

Pass 1:
  Compare 11 and -69
  Swap 11 and -69
  List after swap: [-69, 11, 34]
  Compare 11 and 34
  No swap needed

Pass 2:
  Compare -69 and 11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, 11, 34]
</think>

<response>-69, 11, 34</response>


input: Sort these integers -66, 6, -98, -52, 50, 19, -71 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-66, 6, -98, -52, 50, 19, -71]

Pass 1:
  Compare -66 and 6
  No swap needed
  Compare 6 and -98
  Swap 6 and -98
  List after swap: [-66, -98, 6, -52, 50, 19, -71]
  Compare 6 and -52
  Swap 6 and -52
  List after swap: [-66, -98, -52, 6, 50, 19, -71]
  Compare 6 and 50
  No swap needed
  Compare 50 and 19
  Swap 50 and 19
  List after swap: [-66, -98, -52, 6, 19, 50, -71]
  Compare 50 and -71
  Swap 50 and -71
  List after swap: [-66, -98, -52, 6, 19, -71, 50]

Pass 2:
  Compare -66 and -98
  Swap -66 and -98
  List after swap: [-98, -66, -52, 6, 19, -71, 50]
  Compare -66 and -52
  No swap needed
  Compare -52 and 6
  No swap needed
  Compare 6 and 19
  No swap needed
  Compare 19 and -71
  Swap 19 and -71
  List after swap: [-98, -66, -52, 6, -71, 19, 50]

Pass 3:
  Compare -98 and -66
  No swap needed
  Compare -66 and -52
  No swap needed
  Compare -52 and 6
  No swap needed
  Compare 6 and -71
  Swap 6 and -71
  List after swap: [-98, -66, -52, -71, 6, 19, 50]

Pass 4:
  Compare -98 and -66
  No swap needed
  Compare -66 and -52
  No swap needed
  Compare -52 and -71
  Swap -52 and -71
  List after swap: [-98, -66, -71, -52, 6, 19, 50]

Pass 5:
  Compare -98 and -66
  No swap needed
  Compare -66 and -71
  Swap -66 and -71
  List after swap: [-98, -71, -66, -52, 6, 19, 50]

Pass 6:
  Compare -98 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -71, -66, -52, 6, 19, 50]
</think>

<response>-98, -71, -66, -52, 6, 19, 50</response>


input: Arrange the numbers -66, -54, 51, 82, -22, 55, 58, 76, -80, 46 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-66, -54, 51, 82, -22, 55, 58, 76, -80, 46]

Pass 1:
  Compare -66 and -54
  No swap needed
  Compare -54 and 51
  No swap needed
  Compare 51 and 82
  No swap needed
  Compare 82 and -22
  Swap 82 and -22
  List after swap: [-66, -54, 51, -22, 82, 55, 58, 76, -80, 46]
  Compare 82 and 55
  Swap 82 and 55
  List after swap: [-66, -54, 51, -22, 55, 82, 58, 76, -80, 46]
  Compare 82 and 58
  Swap 82 and 58
  List after swap: [-66, -54, 51, -22, 55, 58, 82, 76, -80, 46]
  Compare 82 and 76
  Swap 82 and 76
  List after swap: [-66, -54, 51, -22, 55, 58, 76, 82, -80, 46]
  Compare 82 and -80
  Swap 82 and -80
  List after swap: [-66, -54, 51, -22, 55, 58, 76, -80, 82, 46]
  Compare 82 and 46
  Swap 82 and 46
  List after swap: [-66, -54, 51, -22, 55, 58, 76, -80, 46, 82]

Pass 2:
  Compare -66 and -54
  No swap needed
  Compare -54 and 51
  No swap needed
  Compare 51 and -22
  Swap 51 and -22
  List after swap: [-66, -54, -22, 51, 55, 58, 76, -80, 46, 82]
  Compare 51 and 55
  No swap needed
  Compare 55 and 58
  No swap needed
  Compare 58 and 76
  No swap needed
  Compare 76 and -80
  Swap 76 and -80
  List after swap: [-66, -54, -22, 51, 55, 58, -80, 76, 46, 82]
  Compare 76 and 46
  Swap 76 and 46
  List after swap: [-66, -54, -22, 51, 55, 58, -80, 46, 76, 82]

Pass 3:
  Compare -66 and -54
  No swap needed
  Compare -54 and -22
  No swap needed
  Compare -22 and 51
  No swap needed
  Compare 51 and 55
  No swap needed
  Compare 55 and 58
  No swap needed
  Compare 58 and -80
  Swap 58 and -80
  List after swap: [-66, -54, -22, 51, 55, -80, 58, 46, 76, 82]
  Compare 58 and 46
  Swap 58 and 46
  List after swap: [-66, -54, -22, 51, 55, -80, 46, 58, 76, 82]

Pass 4:
  Compare -66 and -54
  No swap needed
  Compare -54 and -22
  No swap needed
  Compare -22 and 51
  No swap needed
  Compare 51 and 55
  No swap needed
  Compare 55 and -80
  Swap 55 and -80
  List after swap: [-66, -54, -22, 51, -80, 55, 46, 58, 76, 82]
  Compare 55 and 46
  Swap 55 and 46
  List after swap: [-66, -54, -22, 51, -80, 46, 55, 58, 76, 82]

Pass 5:
  Compare -66 and -54
  No swap needed
  Compare -54 and -22
  No swap needed
  Compare -22 and 51
  No swap needed
  Compare 51 and -80
  Swap 51 and -80
  List after swap: [-66, -54, -22, -80, 51, 46, 55, 58, 76, 82]
  Compare 51 and 46
  Swap 51 and 46
  List after swap: [-66, -54, -22, -80, 46, 51, 55, 58, 76, 82]

Pass 6:
  Compare -66 and -54
  No swap needed
  Compare -54 and -22
  No swap needed
  Compare -22 and -80
  Swap -22 and -80
  List after swap: [-66, -54, -80, -22, 46, 51, 55, 58, 76, 82]
  Compare -22 and 46
  No swap needed

Pass 7:
  Compare -66 and -54
  No swap needed
  Compare -54 and -80
  Swap -54 and -80
  List after swap: [-66, -80, -54, -22, 46, 51, 55, 58, 76, 82]
  Compare -54 and -22
  No swap needed

Pass 8:
  Compare -66 and -80
  Swap -66 and -80
  List after swap: [-80, -66, -54, -22, 46, 51, 55, 58, 76, 82]
  Compare -66 and -54
  No swap needed

Pass 9:
  Compare -80 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -66, -54, -22, 46, 51, 55, 58, 76, 82]
</think>

<response>-80, -66, -54, -22, 46, 51, 55, 58, 76, 82</response>


input: Sort these integers 73, -7, -72, 1, 62, 16, -61, 79, 68 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [73, -7, -72, 1, 62, 16, -61, 79, 68]

Pass 1:
  Compare 73 and -7
  Swap 73 and -7
  List after swap: [-7, 73, -72, 1, 62, 16, -61, 79, 68]
  Compare 73 and -72
  Swap 73 and -72
  List after swap: [-7, -72, 73, 1, 62, 16, -61, 79, 68]
  Compare 73 and 1
  Swap 73 and 1
  List after swap: [-7, -72, 1, 73, 62, 16, -61, 79, 68]
  Compare 73 and 62
  Swap 73 and 62
  List after swap: [-7, -72, 1, 62, 73, 16, -61, 79, 68]
  Compare 73 and 16
  Swap 73 and 16
  List after swap: [-7, -72, 1, 62, 16, 73, -61, 79, 68]
  Compare 73 and -61
  Swap 73 and -61
  List after swap: [-7, -72, 1, 62, 16, -61, 73, 79, 68]
  Compare 73 and 79
  No swap needed
  Compare 79 and 68
  Swap 79 and 68
  List after swap: [-7, -72, 1, 62, 16, -61, 73, 68, 79]

Pass 2:
  Compare -7 and -72
  Swap -7 and -72
  List after swap: [-72, -7, 1, 62, 16, -61, 73, 68, 79]
  Compare -7 and 1
  No swap needed
  Compare 1 and 62
  No swap needed
  Compare 62 and 16
  Swap 62 and 16
  List after swap: [-72, -7, 1, 16, 62, -61, 73, 68, 79]
  Compare 62 and -61
  Swap 62 and -61
  List after swap: [-72, -7, 1, 16, -61, 62, 73, 68, 79]
  Compare 62 and 73
  No swap needed
  Compare 73 and 68
  Swap 73 and 68
  List after swap: [-72, -7, 1, 16, -61, 62, 68, 73, 79]

Pass 3:
  Compare -72 and -7
  No swap needed
  Compare -7 and 1
  No swap needed
  Compare 1 and 16
  No swap needed
  Compare 16 and -61
  Swap 16 and -61
  List after swap: [-72, -7, 1, -61, 16, 62, 68, 73, 79]
  Compare 16 and 62
  No swap needed
  Compare 62 and 68
  No swap needed

Pass 4:
  Compare -72 and -7
  No swap needed
  Compare -7 and 1
  No swap needed
  Compare 1 and -61
  Swap 1 and -61
  List after swap: [-72, -7, -61, 1, 16, 62, 68, 73, 79]
  Compare 1 and 16
  No swap needed
  Compare 16 and 62
  No swap needed

Pass 5:
  Compare -72 and -7
  No swap needed
  Compare -7 and -61
  Swap -7 and -61
  List after swap: [-72, -61, -7, 1, 16, 62, 68, 73, 79]
  Compare -7 and 1
  No swap needed
  Compare 1 and 16
  No swap needed

Pass 6:
  Compare -72 and -61
  No swap needed
  Compare -61 and -7
  No swap needed
  Compare -7 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -61, -7, 1, 16, 62, 68, 73, 79]
</think>

<response>-72, -61, -7, 1, 16, 62, 68, 73, 79</response>


input: Perform a bubble sort on the integers 59, -44, -52, -67, -90, 17, 89, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [59, -44, -52, -67, -90, 17, 89]

Pass 1:
  Compare 59 and -44
  Swap 59 and -44
  List after swap: [-44, 59, -52, -67, -90, 17, 89]
  Compare 59 and -52
  Swap 59 and -52
  List after swap: [-44, -52, 59, -67, -90, 17, 89]
  Compare 59 and -67
  Swap 59 and -67
  List after swap: [-44, -52, -67, 59, -90, 17, 89]
  Compare 59 and -90
  Swap 59 and -90
  List after swap: [-44, -52, -67, -90, 59, 17, 89]
  Compare 59 and 17
  Swap 59 and 17
  List after swap: [-44, -52, -67, -90, 17, 59, 89]
  Compare 59 and 89
  No swap needed

Pass 2:
  Compare -44 and -52
  Swap -44 and -52
  List after swap: [-52, -44, -67, -90, 17, 59, 89]
  Compare -44 and -67
  Swap -44 and -67
  List after swap: [-52, -67, -44, -90, 17, 59, 89]
  Compare -44 and -90
  Swap -44 and -90
  List after swap: [-52, -67, -90, -44, 17, 59, 89]
  Compare -44 and 17
  No swap needed
  Compare 17 and 59
  No swap needed

Pass 3:
  Compare -52 and -67
  Swap -52 and -67
  List after swap: [-67, -52, -90, -44, 17, 59, 89]
  Compare -52 and -90
  Swap -52 and -90
  List after swap: [-67, -90, -52, -44, 17, 59, 89]
  Compare -52 and -44
  No swap needed
  Compare -44 and 17
  No swap needed

Pass 4:
  Compare -67 and -90
  Swap -67 and -90
  List after swap: [-90, -67, -52, -44, 17, 59, 89]
  Compare -67 and -52
  No swap needed
  Compare -52 and -44
  No swap needed

Pass 5:
  Compare -90 and -67
  No swap needed
  Compare -67 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -67, -52, -44, 17, 59, 89]
</think>

<response>-90, -67, -52, -44, 17, 59, 89</response>


input: Demonstrate how bubble sort orders the integers 37, 81, -15, -97, 5, -61 in ascending sequence, showing all steps.

output:
<think>
Initial list: [37, 81, -15, -97, 5, -61]

Pass 1:
  Compare 37 and 81
  No swap needed
  Compare 81 and -15
  Swap 81 and -15
  List after swap: [37, -15, 81, -97, 5, -61]
  Compare 81 and -97
  Swap 81 and -97
  List after swap: [37, -15, -97, 81, 5, -61]
  Compare 81 and 5
  Swap 81 and 5
  List after swap: [37, -15, -97, 5, 81, -61]
  Compare 81 and -61
  Swap 81 and -61
  List after swap: [37, -15, -97, 5, -61, 81]

Pass 2:
  Compare 37 and -15
  Swap 37 and -15
  List after swap: [-15, 37, -97, 5, -61, 81]
  Compare 37 and -97
  Swap 37 and -97
  List after swap: [-15, -97, 37, 5, -61, 81]
  Compare 37 and 5
  Swap 37 and 5
  List after swap: [-15, -97, 5, 37, -61, 81]
  Compare 37 and -61
  Swap 37 and -61
  List after swap: [-15, -97, 5, -61, 37, 81]

Pass 3:
  Compare -15 and -97
  Swap -15 and -97
  List after swap: [-97, -15, 5, -61, 37, 81]
  Compare -15 and 5
  No swap needed
  Compare 5 and -61
  Swap 5 and -61
  List after swap: [-97, -15, -61, 5, 37, 81]

Pass 4:
  Compare -97 and -15
  No swap needed
  Compare -15 and -61
  Swap -15 and -61
  List after swap: [-97, -61, -15, 5, 37, 81]

Pass 5:
  Compare -97 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -61, -15, 5, 37, 81]
</think>

<response>-97, -61, -15, 5, 37, 81</response>


input: Use the bubble sort technique to reorder 71, 1, -27, 99, 53, 5 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [71, 1, -27, 99, 53, 5]

Pass 1:
  Compare 71 and 1
  Swap 71 and 1
  List after swap: [1, 71, -27, 99, 53, 5]
  Compare 71 and -27
  Swap 71 and -27
  List after swap: [1, -27, 71, 99, 53, 5]
  Compare 71 and 99
  No swap needed
  Compare 99 and 53
  Swap 99 and 53
  List after swap: [1, -27, 71, 53, 99, 5]
  Compare 99 and 5
  Swap 99 and 5
  List after swap: [1, -27, 71, 53, 5, 99]

Pass 2:
  Compare 1 and -27
  Swap 1 and -27
  List after swap: [-27, 1, 71, 53, 5, 99]
  Compare 1 and 71
  No swap needed
  Compare 71 and 53
  Swap 71 and 53
  List after swap: [-27, 1, 53, 71, 5, 99]
  Compare 71 and 5
  Swap 71 and 5
  List after swap: [-27, 1, 53, 5, 71, 99]

Pass 3:
  Compare -27 and 1
  No swap needed
  Compare 1 and 53
  No swap needed
  Compare 53 and 5
  Swap 53 and 5
  List after swap: [-27, 1, 5, 53, 71, 99]

Pass 4:
  Compare -27 and 1
  No swap needed
  Compare 1 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-27, 1, 5, 53, 71, 99]
</think>

<response>-27, 1, 5, 53, 71, 99</response>