input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 86, 9, -62, 66, 28, -60, -96, 26, 49.

output:
<think>
Initial list: [86, 9, -62, 66, 28, -60, -96, 26, 49]

Pass 1:
  Compare 86 and 9
  Swap 86 and 9
  List after swap: [9, 86, -62, 66, 28, -60, -96, 26, 49]
  Compare 86 and -62
  Swap 86 and -62
  List after swap: [9, -62, 86, 66, 28, -60, -96, 26, 49]
  Compare 86 and 66
  Swap 86 and 66
  List after swap: [9, -62, 66, 86, 28, -60, -96, 26, 49]
  Compare 86 and 28
  Swap 86 and 28
  List after swap: [9, -62, 66, 28, 86, -60, -96, 26, 49]
  Compare 86 and -60
  Swap 86 and -60
  List after swap: [9, -62, 66, 28, -60, 86, -96, 26, 49]
  Compare 86 and -96
  Swap 86 and -96
  List after swap: [9, -62, 66, 28, -60, -96, 86, 26, 49]
  Compare 86 and 26
  Swap 86 and 26
  List after swap: [9, -62, 66, 28, -60, -96, 26, 86, 49]
  Compare 86 and 49
  Swap 86 and 49
  List after swap: [9, -62, 66, 28, -60, -96, 26, 49, 86]

Pass 2:
  Compare 9 and -62
  Swap 9 and -62
  List after swap: [-62, 9, 66, 28, -60, -96, 26, 49, 86]
  Compare 9 and 66
  No swap needed
  Compare 66 and 28
  Swap 66 and 28
  List after swap: [-62, 9, 28, 66, -60, -96, 26, 49, 86]
  Compare 66 and -60
  Swap 66 and -60
  List after swap: [-62, 9, 28, -60, 66, -96, 26, 49, 86]
  Compare 66 and -96
  Swap 66 and -96
  List after swap: [-62, 9, 28, -60, -96, 66, 26, 49, 86]
  Compare 66 and 26
  Swap 66 and 26
  List after swap: [-62, 9, 28, -60, -96, 26, 66, 49, 86]
  Compare 66 and 49
  Swap 66 and 49
  List after swap: [-62, 9, 28, -60, -96, 26, 49, 66, 86]

Pass 3:
  Compare -62 and 9
  No swap needed
  Compare 9 and 28
  No swap needed
  Compare 28 and -60
  Swap 28 and -60
  List after swap: [-62, 9, -60, 28, -96, 26, 49, 66, 86]
  Compare 28 and -96
  Swap 28 and -96
  List after swap: [-62, 9, -60, -96, 28, 26, 49, 66, 86]
  Compare 28 and 26
  Swap 28 and 26
  List after swap: [-62, 9, -60, -96, 26, 28, 49, 66, 86]
  Compare 28 and 49
  No swap needed

Pass 4:
  Compare -62 and 9
  No swap needed
  Compare 9 and -60
  Swap 9 and -60
  List after swap: [-62, -60, 9, -96, 26, 28, 49, 66, 86]
  Compare 9 and -96
  Swap 9 and -96
  List after swap: [-62, -60, -96, 9, 26, 28, 49, 66, 86]
  Compare 9 and 26
  No swap needed
  Compare 26 and 28
  No swap needed

Pass 5:
  Compare -62 and -60
  No swap needed
  Compare -60 and -96
  Swap -60 and -96
  List after swap: [-62, -96, -60, 9, 26, 28, 49, 66, 86]
  Compare -60 and 9
  No swap needed
  Compare 9 and 26
  No swap needed

Pass 6:
  Compare -62 and -96
  Swap -62 and -96
  List after swap: [-96, -62, -60, 9, 26, 28, 49, 66, 86]
  Compare -62 and -60
  No swap needed
  Compare -60 and 9
  No swap needed

Pass 7:
  Compare -96 and -62
  No swap needed
  Compare -62 and -60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -62, -60, 9, 26, 28, 49, 66, 86]
</think>

<response>-96, -62, -60, 9, 26, 28, 49, 66, 86</response>


input: Arrange the numbers 73, -46, -74, 90, 62, -15, -86 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [73, -46, -74, 90, 62, -15, -86]

Pass 1:
  Compare 73 and -46
  Swap 73 and -46
  List after swap: [-46, 73, -74, 90, 62, -15, -86]
  Compare 73 and -74
  Swap 73 and -74
  List after swap: [-46, -74, 73, 90, 62, -15, -86]
  Compare 73 and 90
  No swap needed
  Compare 90 and 62
  Swap 90 and 62
  List after swap: [-46, -74, 73, 62, 90, -15, -86]
  Compare 90 and -15
  Swap 90 and -15
  List after swap: [-46, -74, 73, 62, -15, 90, -86]
  Compare 90 and -86
  Swap 90 and -86
  List after swap: [-46, -74, 73, 62, -15, -86, 90]

Pass 2:
  Compare -46 and -74
  Swap -46 and -74
  List after swap: [-74, -46, 73, 62, -15, -86, 90]
  Compare -46 and 73
  No swap needed
  Compare 73 and 62
  Swap 73 and 62
  List after swap: [-74, -46, 62, 73, -15, -86, 90]
  Compare 73 and -15
  Swap 73 and -15
  List after swap: [-74, -46, 62, -15, 73, -86, 90]
  Compare 73 and -86
  Swap 73 and -86
  List after swap: [-74, -46, 62, -15, -86, 73, 90]

Pass 3:
  Compare -74 and -46
  No swap needed
  Compare -46 and 62
  No swap needed
  Compare 62 and -15
  Swap 62 and -15
  List after swap: [-74, -46, -15, 62, -86, 73, 90]
  Compare 62 and -86
  Swap 62 and -86
  List after swap: [-74, -46, -15, -86, 62, 73, 90]

Pass 4:
  Compare -74 and -46
  No swap needed
  Compare -46 and -15
  No swap needed
  Compare -15 and -86
  Swap -15 and -86
  List after swap: [-74, -46, -86, -15, 62, 73, 90]

Pass 5:
  Compare -74 and -46
  No swap needed
  Compare -46 and -86
  Swap -46 and -86
  List after swap: [-74, -86, -46, -15, 62, 73, 90]

Pass 6:
  Compare -74 and -86
  Swap -74 and -86
  List after swap: [-86, -74, -46, -15, 62, 73, 90]

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

Final sorted list: [-86, -74, -46, -15, 62, 73, 90]
</think>

<response>-86, -74, -46, -15, 62, 73, 90</response>


input: Implement bubble sort on 78, -33, 34, 24, 2 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [78, -33, 34, 24, 2]

Pass 1:
  Compare 78 and -33
  Swap 78 and -33
  List after swap: [-33, 78, 34, 24, 2]
  Compare 78 and 34
  Swap 78 and 34
  List after swap: [-33, 34, 78, 24, 2]
  Compare 78 and 24
  Swap 78 and 24
  List after swap: [-33, 34, 24, 78, 2]
  Compare 78 and 2
  Swap 78 and 2
  List after swap: [-33, 34, 24, 2, 78]

Pass 2:
  Compare -33 and 34
  No swap needed
  Compare 34 and 24
  Swap 34 and 24
  List after swap: [-33, 24, 34, 2, 78]
  Compare 34 and 2
  Swap 34 and 2
  List after swap: [-33, 24, 2, 34, 78]

Pass 3:
  Compare -33 and 24
  No swap needed
  Compare 24 and 2
  Swap 24 and 2
  List after swap: [-33, 2, 24, 34, 78]

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

Final sorted list: [-33, 2, 24, 34, 78]
</think>

<response>-33, 2, 24, 34, 78</response>


input: Demonstrate how bubble sort orders the integers 1, -51 in ascending sequence, showing all steps.

output:
<think>
Initial list: [1, -51]

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

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

Final sorted list: [-51, 1]
</think>

<response>-51, 1</response>


input: Using the bubble sort method, sort 69, -79, -72, 21, 12, -95, -55, -37, 83 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [69, -79, -72, 21, 12, -95, -55, -37, 83]

Pass 1:
  Compare 69 and -79
  Swap 69 and -79
  List after swap: [-79, 69, -72, 21, 12, -95, -55, -37, 83]
  Compare 69 and -72
  Swap 69 and -72
  List after swap: [-79, -72, 69, 21, 12, -95, -55, -37, 83]
  Compare 69 and 21
  Swap 69 and 21
  List after swap: [-79, -72, 21, 69, 12, -95, -55, -37, 83]
  Compare 69 and 12
  Swap 69 and 12
  List after swap: [-79, -72, 21, 12, 69, -95, -55, -37, 83]
  Compare 69 and -95
  Swap 69 and -95
  List after swap: [-79, -72, 21, 12, -95, 69, -55, -37, 83]
  Compare 69 and -55
  Swap 69 and -55
  List after swap: [-79, -72, 21, 12, -95, -55, 69, -37, 83]
  Compare 69 and -37
  Swap 69 and -37
  List after swap: [-79, -72, 21, 12, -95, -55, -37, 69, 83]
  Compare 69 and 83
  No swap needed

Pass 2:
  Compare -79 and -72
  No swap needed
  Compare -72 and 21
  No swap needed
  Compare 21 and 12
  Swap 21 and 12
  List after swap: [-79, -72, 12, 21, -95, -55, -37, 69, 83]
  Compare 21 and -95
  Swap 21 and -95
  List after swap: [-79, -72, 12, -95, 21, -55, -37, 69, 83]
  Compare 21 and -55
  Swap 21 and -55
  List after swap: [-79, -72, 12, -95, -55, 21, -37, 69, 83]
  Compare 21 and -37
  Swap 21 and -37
  List after swap: [-79, -72, 12, -95, -55, -37, 21, 69, 83]
  Compare 21 and 69
  No swap needed

Pass 3:
  Compare -79 and -72
  No swap needed
  Compare -72 and 12
  No swap needed
  Compare 12 and -95
  Swap 12 and -95
  List after swap: [-79, -72, -95, 12, -55, -37, 21, 69, 83]
  Compare 12 and -55
  Swap 12 and -55
  List after swap: [-79, -72, -95, -55, 12, -37, 21, 69, 83]
  Compare 12 and -37
  Swap 12 and -37
  List after swap: [-79, -72, -95, -55, -37, 12, 21, 69, 83]
  Compare 12 and 21
  No swap needed

Pass 4:
  Compare -79 and -72
  No swap needed
  Compare -72 and -95
  Swap -72 and -95
  List after swap: [-79, -95, -72, -55, -37, 12, 21, 69, 83]
  Compare -72 and -55
  No swap needed
  Compare -55 and -37
  No swap needed
  Compare -37 and 12
  No swap needed

Pass 5:
  Compare -79 and -95
  Swap -79 and -95
  List after swap: [-95, -79, -72, -55, -37, 12, 21, 69, 83]
  Compare -79 and -72
  No swap needed
  Compare -72 and -55
  No swap needed
  Compare -55 and -37
  No swap needed

Pass 6:
  Compare -95 and -79
  No swap needed
  Compare -79 and -72
  No swap needed
  Compare -72 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -79, -72, -55, -37, 12, 21, 69, 83]
</think>

<response>-95, -79, -72, -55, -37, 12, 21, 69, 83</response>


input: Arrange the numbers 87, 8 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [87, 8]

Pass 1:
  Compare 87 and 8
  Swap 87 and 8
  List after swap: [8, 87]

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

Final sorted list: [8, 87]
</think>

<response>8, 87</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 15, -51, 97, -17, -64, 65, -8, 41, -77, -45.

output:
<think>
Initial list: [15, -51, 97, -17, -64, 65, -8, 41, -77, -45]

Pass 1:
  Compare 15 and -51
  Swap 15 and -51
  List after swap: [-51, 15, 97, -17, -64, 65, -8, 41, -77, -45]
  Compare 15 and 97
  No swap needed
  Compare 97 and -17
  Swap 97 and -17
  List after swap: [-51, 15, -17, 97, -64, 65, -8, 41, -77, -45]
  Compare 97 and -64
  Swap 97 and -64
  List after swap: [-51, 15, -17, -64, 97, 65, -8, 41, -77, -45]
  Compare 97 and 65
  Swap 97 and 65
  List after swap: [-51, 15, -17, -64, 65, 97, -8, 41, -77, -45]
  Compare 97 and -8
  Swap 97 and -8
  List after swap: [-51, 15, -17, -64, 65, -8, 97, 41, -77, -45]
  Compare 97 and 41
  Swap 97 and 41
  List after swap: [-51, 15, -17, -64, 65, -8, 41, 97, -77, -45]
  Compare 97 and -77
  Swap 97 and -77
  List after swap: [-51, 15, -17, -64, 65, -8, 41, -77, 97, -45]
  Compare 97 and -45
  Swap 97 and -45
  List after swap: [-51, 15, -17, -64, 65, -8, 41, -77, -45, 97]

Pass 2:
  Compare -51 and 15
  No swap needed
  Compare 15 and -17
  Swap 15 and -17
  List after swap: [-51, -17, 15, -64, 65, -8, 41, -77, -45, 97]
  Compare 15 and -64
  Swap 15 and -64
  List after swap: [-51, -17, -64, 15, 65, -8, 41, -77, -45, 97]
  Compare 15 and 65
  No swap needed
  Compare 65 and -8
  Swap 65 and -8
  List after swap: [-51, -17, -64, 15, -8, 65, 41, -77, -45, 97]
  Compare 65 and 41
  Swap 65 and 41
  List after swap: [-51, -17, -64, 15, -8, 41, 65, -77, -45, 97]
  Compare 65 and -77
  Swap 65 and -77
  List after swap: [-51, -17, -64, 15, -8, 41, -77, 65, -45, 97]
  Compare 65 and -45
  Swap 65 and -45
  List after swap: [-51, -17, -64, 15, -8, 41, -77, -45, 65, 97]

Pass 3:
  Compare -51 and -17
  No swap needed
  Compare -17 and -64
  Swap -17 and -64
  List after swap: [-51, -64, -17, 15, -8, 41, -77, -45, 65, 97]
  Compare -17 and 15
  No swap needed
  Compare 15 and -8
  Swap 15 and -8
  List after swap: [-51, -64, -17, -8, 15, 41, -77, -45, 65, 97]
  Compare 15 and 41
  No swap needed
  Compare 41 and -77
  Swap 41 and -77
  List after swap: [-51, -64, -17, -8, 15, -77, 41, -45, 65, 97]
  Compare 41 and -45
  Swap 41 and -45
  List after swap: [-51, -64, -17, -8, 15, -77, -45, 41, 65, 97]

Pass 4:
  Compare -51 and -64
  Swap -51 and -64
  List after swap: [-64, -51, -17, -8, 15, -77, -45, 41, 65, 97]
  Compare -51 and -17
  No swap needed
  Compare -17 and -8
  No swap needed
  Compare -8 and 15
  No swap needed
  Compare 15 and -77
  Swap 15 and -77
  List after swap: [-64, -51, -17, -8, -77, 15, -45, 41, 65, 97]
  Compare 15 and -45
  Swap 15 and -45
  List after swap: [-64, -51, -17, -8, -77, -45, 15, 41, 65, 97]

Pass 5:
  Compare -64 and -51
  No swap needed
  Compare -51 and -17
  No swap needed
  Compare -17 and -8
  No swap needed
  Compare -8 and -77
  Swap -8 and -77
  List after swap: [-64, -51, -17, -77, -8, -45, 15, 41, 65, 97]
  Compare -8 and -45
  Swap -8 and -45
  List after swap: [-64, -51, -17, -77, -45, -8, 15, 41, 65, 97]

Pass 6:
  Compare -64 and -51
  No swap needed
  Compare -51 and -17
  No swap needed
  Compare -17 and -77
  Swap -17 and -77
  List after swap: [-64, -51, -77, -17, -45, -8, 15, 41, 65, 97]
  Compare -17 and -45
  Swap -17 and -45
  List after swap: [-64, -51, -77, -45, -17, -8, 15, 41, 65, 97]

Pass 7:
  Compare -64 and -51
  No swap needed
  Compare -51 and -77
  Swap -51 and -77
  List after swap: [-64, -77, -51, -45, -17, -8, 15, 41, 65, 97]
  Compare -51 and -45
  No swap needed

Pass 8:
  Compare -64 and -77
  Swap -64 and -77
  List after swap: [-77, -64, -51, -45, -17, -8, 15, 41, 65, 97]
  Compare -64 and -51
  No swap needed

Pass 9:
  Compare -77 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -64, -51, -45, -17, -8, 15, 41, 65, 97]
</think>

<response>-77, -64, -51, -45, -17, -8, 15, 41, 65, 97</response>


input: Carry out the bubble sort algorithm on 52, 83, -36, 80 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [52, 83, -36, 80]

Pass 1:
  Compare 52 and 83
  No swap needed
  Compare 83 and -36
  Swap 83 and -36
  List after swap: [52, -36, 83, 80]
  Compare 83 and 80
  Swap 83 and 80
  List after swap: [52, -36, 80, 83]

Pass 2:
  Compare 52 and -36
  Swap 52 and -36
  List after swap: [-36, 52, 80, 83]
  Compare 52 and 80
  No swap needed

Pass 3:
  Compare -36 and 52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-36, 52, 80, 83]
</think>

<response>-36, 52, 80, 83</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 17, 61, 6, 28, 78, 10.

output:
<think>
Initial list: [17, 61, 6, 28, 78, 10]

Pass 1:
  Compare 17 and 61
  No swap needed
  Compare 61 and 6
  Swap 61 and 6
  List after swap: [17, 6, 61, 28, 78, 10]
  Compare 61 and 28
  Swap 61 and 28
  List after swap: [17, 6, 28, 61, 78, 10]
  Compare 61 and 78
  No swap needed
  Compare 78 and 10
  Swap 78 and 10
  List after swap: [17, 6, 28, 61, 10, 78]

Pass 2:
  Compare 17 and 6
  Swap 17 and 6
  List after swap: [6, 17, 28, 61, 10, 78]
  Compare 17 and 28
  No swap needed
  Compare 28 and 61
  No swap needed
  Compare 61 and 10
  Swap 61 and 10
  List after swap: [6, 17, 28, 10, 61, 78]

Pass 3:
  Compare 6 and 17
  No swap needed
  Compare 17 and 28
  No swap needed
  Compare 28 and 10
  Swap 28 and 10
  List after swap: [6, 17, 10, 28, 61, 78]

Pass 4:
  Compare 6 and 17
  No swap needed
  Compare 17 and 10
  Swap 17 and 10
  List after swap: [6, 10, 17, 28, 61, 78]

Pass 5:
  Compare 6 and 10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [6, 10, 17, 28, 61, 78]
</think>

<response>6, 10, 17, 28, 61, 78</response>


input: Sort the list 85, -30, -11, -48 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [85, -30, -11, -48]

Pass 1:
  Compare 85 and -30
  Swap 85 and -30
  List after swap: [-30, 85, -11, -48]
  Compare 85 and -11
  Swap 85 and -11
  List after swap: [-30, -11, 85, -48]
  Compare 85 and -48
  Swap 85 and -48
  List after swap: [-30, -11, -48, 85]

Pass 2:
  Compare -30 and -11
  No swap needed
  Compare -11 and -48
  Swap -11 and -48
  List after swap: [-30, -48, -11, 85]

Pass 3:
  Compare -30 and -48
  Swap -30 and -48
  List after swap: [-48, -30, -11, 85]

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

Final sorted list: [-48, -30, -11, 85]
</think>

<response>-48, -30, -11, 85</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -33, 62.

output:
<think>
Initial list: [-33, 62]

Pass 1:
  Compare -33 and 62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-33, 62]
</think>

<response>-33, 62</response>


input: Arrange the numbers -34, -91, 49, -43, 35 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-34, -91, 49, -43, 35]

Pass 1:
  Compare -34 and -91
  Swap -34 and -91
  List after swap: [-91, -34, 49, -43, 35]
  Compare -34 and 49
  No swap needed
  Compare 49 and -43
  Swap 49 and -43
  List after swap: [-91, -34, -43, 49, 35]
  Compare 49 and 35
  Swap 49 and 35
  List after swap: [-91, -34, -43, 35, 49]

Pass 2:
  Compare -91 and -34
  No swap needed
  Compare -34 and -43
  Swap -34 and -43
  List after swap: [-91, -43, -34, 35, 49]
  Compare -34 and 35
  No swap needed

Pass 3:
  Compare -91 and -43
  No swap needed
  Compare -43 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -43, -34, 35, 49]
</think>

<response>-91, -43, -34, 35, 49</response>


input: Perform a bubble sort on the integers 12, 83, 27, 44, 47, 72, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [12, 83, 27, 44, 47, 72]

Pass 1:
  Compare 12 and 83
  No swap needed
  Compare 83 and 27
  Swap 83 and 27
  List after swap: [12, 27, 83, 44, 47, 72]
  Compare 83 and 44
  Swap 83 and 44
  List after swap: [12, 27, 44, 83, 47, 72]
  Compare 83 and 47
  Swap 83 and 47
  List after swap: [12, 27, 44, 47, 83, 72]
  Compare 83 and 72
  Swap 83 and 72
  List after swap: [12, 27, 44, 47, 72, 83]

Pass 2:
  Compare 12 and 27
  No swap needed
  Compare 27 and 44
  No swap needed
  Compare 44 and 47
  No swap needed
  Compare 47 and 72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [12, 27, 44, 47, 72, 83]
</think>

<response>12, 27, 44, 47, 72, 83</response>


input: Arrange the numbers -88, 43, -14, -59, -93, 30 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-88, 43, -14, -59, -93, 30]

Pass 1:
  Compare -88 and 43
  No swap needed
  Compare 43 and -14
  Swap 43 and -14
  List after swap: [-88, -14, 43, -59, -93, 30]
  Compare 43 and -59
  Swap 43 and -59
  List after swap: [-88, -14, -59, 43, -93, 30]
  Compare 43 and -93
  Swap 43 and -93
  List after swap: [-88, -14, -59, -93, 43, 30]
  Compare 43 and 30
  Swap 43 and 30
  List after swap: [-88, -14, -59, -93, 30, 43]

Pass 2:
  Compare -88 and -14
  No swap needed
  Compare -14 and -59
  Swap -14 and -59
  List after swap: [-88, -59, -14, -93, 30, 43]
  Compare -14 and -93
  Swap -14 and -93
  List after swap: [-88, -59, -93, -14, 30, 43]
  Compare -14 and 30
  No swap needed

Pass 3:
  Compare -88 and -59
  No swap needed
  Compare -59 and -93
  Swap -59 and -93
  List after swap: [-88, -93, -59, -14, 30, 43]
  Compare -59 and -14
  No swap needed

Pass 4:
  Compare -88 and -93
  Swap -88 and -93
  List after swap: [-93, -88, -59, -14, 30, 43]
  Compare -88 and -59
  No swap needed

Pass 5:
  Compare -93 and -88
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -88, -59, -14, 30, 43]
</think>

<response>-93, -88, -59, -14, 30, 43</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -83, 70, 42.

output:
<think>
Initial list: [-83, 70, 42]

Pass 1:
  Compare -83 and 70
  No swap needed
  Compare 70 and 42
  Swap 70 and 42
  List after swap: [-83, 42, 70]

Pass 2:
  Compare -83 and 42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, 42, 70]
</think>

<response>-83, 42, 70</response>


input: Implement bubble sort on 42, -81 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [42, -81]

Pass 1:
  Compare 42 and -81
  Swap 42 and -81
  List after swap: [-81, 42]

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

Final sorted list: [-81, 42]
</think>

<response>-81, 42</response>


input: Sort these integers 40, 57, -75, -60, -35, 97 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [40, 57, -75, -60, -35, 97]

Pass 1:
  Compare 40 and 57
  No swap needed
  Compare 57 and -75
  Swap 57 and -75
  List after swap: [40, -75, 57, -60, -35, 97]
  Compare 57 and -60
  Swap 57 and -60
  List after swap: [40, -75, -60, 57, -35, 97]
  Compare 57 and -35
  Swap 57 and -35
  List after swap: [40, -75, -60, -35, 57, 97]
  Compare 57 and 97
  No swap needed

Pass 2:
  Compare 40 and -75
  Swap 40 and -75
  List after swap: [-75, 40, -60, -35, 57, 97]
  Compare 40 and -60
  Swap 40 and -60
  List after swap: [-75, -60, 40, -35, 57, 97]
  Compare 40 and -35
  Swap 40 and -35
  List after swap: [-75, -60, -35, 40, 57, 97]
  Compare 40 and 57
  No swap needed

Pass 3:
  Compare -75 and -60
  No swap needed
  Compare -60 and -35
  No swap needed
  Compare -35 and 40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -60, -35, 40, 57, 97]
</think>

<response>-75, -60, -35, 40, 57, 97</response>


input: Carry out the bubble sort algorithm on 44, 86, -100, 75, 52, -74, -42, -34, 49, 94 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [44, 86, -100, 75, 52, -74, -42, -34, 49, 94]

Pass 1:
  Compare 44 and 86
  No swap needed
  Compare 86 and -100
  Swap 86 and -100
  List after swap: [44, -100, 86, 75, 52, -74, -42, -34, 49, 94]
  Compare 86 and 75
  Swap 86 and 75
  List after swap: [44, -100, 75, 86, 52, -74, -42, -34, 49, 94]
  Compare 86 and 52
  Swap 86 and 52
  List after swap: [44, -100, 75, 52, 86, -74, -42, -34, 49, 94]
  Compare 86 and -74
  Swap 86 and -74
  List after swap: [44, -100, 75, 52, -74, 86, -42, -34, 49, 94]
  Compare 86 and -42
  Swap 86 and -42
  List after swap: [44, -100, 75, 52, -74, -42, 86, -34, 49, 94]
  Compare 86 and -34
  Swap 86 and -34
  List after swap: [44, -100, 75, 52, -74, -42, -34, 86, 49, 94]
  Compare 86 and 49
  Swap 86 and 49
  List after swap: [44, -100, 75, 52, -74, -42, -34, 49, 86, 94]
  Compare 86 and 94
  No swap needed

Pass 2:
  Compare 44 and -100
  Swap 44 and -100
  List after swap: [-100, 44, 75, 52, -74, -42, -34, 49, 86, 94]
  Compare 44 and 75
  No swap needed
  Compare 75 and 52
  Swap 75 and 52
  List after swap: [-100, 44, 52, 75, -74, -42, -34, 49, 86, 94]
  Compare 75 and -74
  Swap 75 and -74
  List after swap: [-100, 44, 52, -74, 75, -42, -34, 49, 86, 94]
  Compare 75 and -42
  Swap 75 and -42
  List after swap: [-100, 44, 52, -74, -42, 75, -34, 49, 86, 94]
  Compare 75 and -34
  Swap 75 and -34
  List after swap: [-100, 44, 52, -74, -42, -34, 75, 49, 86, 94]
  Compare 75 and 49
  Swap 75 and 49
  List after swap: [-100, 44, 52, -74, -42, -34, 49, 75, 86, 94]
  Compare 75 and 86
  No swap needed

Pass 3:
  Compare -100 and 44
  No swap needed
  Compare 44 and 52
  No swap needed
  Compare 52 and -74
  Swap 52 and -74
  List after swap: [-100, 44, -74, 52, -42, -34, 49, 75, 86, 94]
  Compare 52 and -42
  Swap 52 and -42
  List after swap: [-100, 44, -74, -42, 52, -34, 49, 75, 86, 94]
  Compare 52 and -34
  Swap 52 and -34
  List after swap: [-100, 44, -74, -42, -34, 52, 49, 75, 86, 94]
  Compare 52 and 49
  Swap 52 and 49
  List after swap: [-100, 44, -74, -42, -34, 49, 52, 75, 86, 94]
  Compare 52 and 75
  No swap needed

Pass 4:
  Compare -100 and 44
  No swap needed
  Compare 44 and -74
  Swap 44 and -74
  List after swap: [-100, -74, 44, -42, -34, 49, 52, 75, 86, 94]
  Compare 44 and -42
  Swap 44 and -42
  List after swap: [-100, -74, -42, 44, -34, 49, 52, 75, 86, 94]
  Compare 44 and -34
  Swap 44 and -34
  List after swap: [-100, -74, -42, -34, 44, 49, 52, 75, 86, 94]
  Compare 44 and 49
  No swap needed
  Compare 49 and 52
  No swap needed

Pass 5:
  Compare -100 and -74
  No swap needed
  Compare -74 and -42
  No swap needed
  Compare -42 and -34
  No swap needed
  Compare -34 and 44
  No swap needed
  Compare 44 and 49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -74, -42, -34, 44, 49, 52, 75, 86, 94]
</think>

<response>-100, -74, -42, -34, 44, 49, 52, 75, 86, 94</response>


input: Sort the list 75, -76, -62, -79, -34 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [75, -76, -62, -79, -34]

Pass 1:
  Compare 75 and -76
  Swap 75 and -76
  List after swap: [-76, 75, -62, -79, -34]
  Compare 75 and -62
  Swap 75 and -62
  List after swap: [-76, -62, 75, -79, -34]
  Compare 75 and -79
  Swap 75 and -79
  List after swap: [-76, -62, -79, 75, -34]
  Compare 75 and -34
  Swap 75 and -34
  List after swap: [-76, -62, -79, -34, 75]

Pass 2:
  Compare -76 and -62
  No swap needed
  Compare -62 and -79
  Swap -62 and -79
  List after swap: [-76, -79, -62, -34, 75]
  Compare -62 and -34
  No swap needed

Pass 3:
  Compare -76 and -79
  Swap -76 and -79
  List after swap: [-79, -76, -62, -34, 75]
  Compare -76 and -62
  No swap needed

Pass 4:
  Compare -79 and -76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -76, -62, -34, 75]
</think>

<response>-79, -76, -62, -34, 75</response>


input: Use the bubble sort technique to reorder -19, -1, -60, 35, 96, 80, 24 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-19, -1, -60, 35, 96, 80, 24]

Pass 1:
  Compare -19 and -1
  No swap needed
  Compare -1 and -60
  Swap -1 and -60
  List after swap: [-19, -60, -1, 35, 96, 80, 24]
  Compare -1 and 35
  No swap needed
  Compare 35 and 96
  No swap needed
  Compare 96 and 80
  Swap 96 and 80
  List after swap: [-19, -60, -1, 35, 80, 96, 24]
  Compare 96 and 24
  Swap 96 and 24
  List after swap: [-19, -60, -1, 35, 80, 24, 96]

Pass 2:
  Compare -19 and -60
  Swap -19 and -60
  List after swap: [-60, -19, -1, 35, 80, 24, 96]
  Compare -19 and -1
  No swap needed
  Compare -1 and 35
  No swap needed
  Compare 35 and 80
  No swap needed
  Compare 80 and 24
  Swap 80 and 24
  List after swap: [-60, -19, -1, 35, 24, 80, 96]

Pass 3:
  Compare -60 and -19
  No swap needed
  Compare -19 and -1
  No swap needed
  Compare -1 and 35
  No swap needed
  Compare 35 and 24
  Swap 35 and 24
  List after swap: [-60, -19, -1, 24, 35, 80, 96]

Pass 4:
  Compare -60 and -19
  No swap needed
  Compare -19 and -1
  No swap needed
  Compare -1 and 24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -19, -1, 24, 35, 80, 96]
</think>

<response>-60, -19, -1, 24, 35, 80, 96</response>


input: Demonstrate how bubble sort orders the integers 69, -76, -6, -90, -87 in ascending sequence, showing all steps.

output:
<think>
Initial list: [69, -76, -6, -90, -87]

Pass 1:
  Compare 69 and -76
  Swap 69 and -76
  List after swap: [-76, 69, -6, -90, -87]
  Compare 69 and -6
  Swap 69 and -6
  List after swap: [-76, -6, 69, -90, -87]
  Compare 69 and -90
  Swap 69 and -90
  List after swap: [-76, -6, -90, 69, -87]
  Compare 69 and -87
  Swap 69 and -87
  List after swap: [-76, -6, -90, -87, 69]

Pass 2:
  Compare -76 and -6
  No swap needed
  Compare -6 and -90
  Swap -6 and -90
  List after swap: [-76, -90, -6, -87, 69]
  Compare -6 and -87
  Swap -6 and -87
  List after swap: [-76, -90, -87, -6, 69]

Pass 3:
  Compare -76 and -90
  Swap -76 and -90
  List after swap: [-90, -76, -87, -6, 69]
  Compare -76 and -87
  Swap -76 and -87
  List after swap: [-90, -87, -76, -6, 69]

Pass 4:
  Compare -90 and -87
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -87, -76, -6, 69]
</think>

<response>-90, -87, -76, -6, 69</response>


input: Perform a bubble sort on the integers -71, -91, -86, -81, 96, -11, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-71, -91, -86, -81, 96, -11]

Pass 1:
  Compare -71 and -91
  Swap -71 and -91
  List after swap: [-91, -71, -86, -81, 96, -11]
  Compare -71 and -86
  Swap -71 and -86
  List after swap: [-91, -86, -71, -81, 96, -11]
  Compare -71 and -81
  Swap -71 and -81
  List after swap: [-91, -86, -81, -71, 96, -11]
  Compare -71 and 96
  No swap needed
  Compare 96 and -11
  Swap 96 and -11
  List after swap: [-91, -86, -81, -71, -11, 96]

Pass 2:
  Compare -91 and -86
  No swap needed
  Compare -86 and -81
  No swap needed
  Compare -81 and -71
  No swap needed
  Compare -71 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -86, -81, -71, -11, 96]
</think>

<response>-91, -86, -81, -71, -11, 96</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 66, -86, 34.

output:
<think>
Initial list: [66, -86, 34]

Pass 1:
  Compare 66 and -86
  Swap 66 and -86
  List after swap: [-86, 66, 34]
  Compare 66 and 34
  Swap 66 and 34
  List after swap: [-86, 34, 66]

Pass 2:
  Compare -86 and 34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, 34, 66]
</think>

<response>-86, 34, 66</response>


input: Carry out the bubble sort algorithm on 6, 31, -4, 24, 22, -93, 1, -67, 84, 72 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [6, 31, -4, 24, 22, -93, 1, -67, 84, 72]

Pass 1:
  Compare 6 and 31
  No swap needed
  Compare 31 and -4
  Swap 31 and -4
  List after swap: [6, -4, 31, 24, 22, -93, 1, -67, 84, 72]
  Compare 31 and 24
  Swap 31 and 24
  List after swap: [6, -4, 24, 31, 22, -93, 1, -67, 84, 72]
  Compare 31 and 22
  Swap 31 and 22
  List after swap: [6, -4, 24, 22, 31, -93, 1, -67, 84, 72]
  Compare 31 and -93
  Swap 31 and -93
  List after swap: [6, -4, 24, 22, -93, 31, 1, -67, 84, 72]
  Compare 31 and 1
  Swap 31 and 1
  List after swap: [6, -4, 24, 22, -93, 1, 31, -67, 84, 72]
  Compare 31 and -67
  Swap 31 and -67
  List after swap: [6, -4, 24, 22, -93, 1, -67, 31, 84, 72]
  Compare 31 and 84
  No swap needed
  Compare 84 and 72
  Swap 84 and 72
  List after swap: [6, -4, 24, 22, -93, 1, -67, 31, 72, 84]

Pass 2:
  Compare 6 and -4
  Swap 6 and -4
  List after swap: [-4, 6, 24, 22, -93, 1, -67, 31, 72, 84]
  Compare 6 and 24
  No swap needed
  Compare 24 and 22
  Swap 24 and 22
  List after swap: [-4, 6, 22, 24, -93, 1, -67, 31, 72, 84]
  Compare 24 and -93
  Swap 24 and -93
  List after swap: [-4, 6, 22, -93, 24, 1, -67, 31, 72, 84]
  Compare 24 and 1
  Swap 24 and 1
  List after swap: [-4, 6, 22, -93, 1, 24, -67, 31, 72, 84]
  Compare 24 and -67
  Swap 24 and -67
  List after swap: [-4, 6, 22, -93, 1, -67, 24, 31, 72, 84]
  Compare 24 and 31
  No swap needed
  Compare 31 and 72
  No swap needed

Pass 3:
  Compare -4 and 6
  No swap needed
  Compare 6 and 22
  No swap needed
  Compare 22 and -93
  Swap 22 and -93
  List after swap: [-4, 6, -93, 22, 1, -67, 24, 31, 72, 84]
  Compare 22 and 1
  Swap 22 and 1
  List after swap: [-4, 6, -93, 1, 22, -67, 24, 31, 72, 84]
  Compare 22 and -67
  Swap 22 and -67
  List after swap: [-4, 6, -93, 1, -67, 22, 24, 31, 72, 84]
  Compare 22 and 24
  No swap needed
  Compare 24 and 31
  No swap needed

Pass 4:
  Compare -4 and 6
  No swap needed
  Compare 6 and -93
  Swap 6 and -93
  List after swap: [-4, -93, 6, 1, -67, 22, 24, 31, 72, 84]
  Compare 6 and 1
  Swap 6 and 1
  List after swap: [-4, -93, 1, 6, -67, 22, 24, 31, 72, 84]
  Compare 6 and -67
  Swap 6 and -67
  List after swap: [-4, -93, 1, -67, 6, 22, 24, 31, 72, 84]
  Compare 6 and 22
  No swap needed
  Compare 22 and 24
  No swap needed

Pass 5:
  Compare -4 and -93
  Swap -4 and -93
  List after swap: [-93, -4, 1, -67, 6, 22, 24, 31, 72, 84]
  Compare -4 and 1
  No swap needed
  Compare 1 and -67
  Swap 1 and -67
  List after swap: [-93, -4, -67, 1, 6, 22, 24, 31, 72, 84]
  Compare 1 and 6
  No swap needed
  Compare 6 and 22
  No swap needed

Pass 6:
  Compare -93 and -4
  No swap needed
  Compare -4 and -67
  Swap -4 and -67
  List after swap: [-93, -67, -4, 1, 6, 22, 24, 31, 72, 84]
  Compare -4 and 1
  No swap needed
  Compare 1 and 6
  No swap needed

Pass 7:
  Compare -93 and -67
  No swap needed
  Compare -67 and -4
  No swap needed
  Compare -4 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -67, -4, 1, 6, 22, 24, 31, 72, 84]
</think>

<response>-93, -67, -4, 1, 6, 22, 24, 31, 72, 84</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -56, -62, 50.

output:
<think>
Initial list: [-56, -62, 50]

Pass 1:
  Compare -56 and -62
  Swap -56 and -62
  List after swap: [-62, -56, 50]
  Compare -56 and 50
  No swap needed

Pass 2:
  Compare -62 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -56, 50]
</think>

<response>-62, -56, 50</response>


input: Using the bubble sort method, sort 14, -1, -31, 97 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [14, -1, -31, 97]

Pass 1:
  Compare 14 and -1
  Swap 14 and -1
  List after swap: [-1, 14, -31, 97]
  Compare 14 and -31
  Swap 14 and -31
  List after swap: [-1, -31, 14, 97]
  Compare 14 and 97
  No swap needed

Pass 2:
  Compare -1 and -31
  Swap -1 and -31
  List after swap: [-31, -1, 14, 97]
  Compare -1 and 14
  No swap needed

Pass 3:
  Compare -31 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-31, -1, 14, 97]
</think>

<response>-31, -1, 14, 97</response>


input: Perform a bubble sort on the integers 13, 7, -45, 41, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [13, 7, -45, 41]

Pass 1:
  Compare 13 and 7
  Swap 13 and 7
  List after swap: [7, 13, -45, 41]
  Compare 13 and -45
  Swap 13 and -45
  List after swap: [7, -45, 13, 41]
  Compare 13 and 41
  No swap needed

Pass 2:
  Compare 7 and -45
  Swap 7 and -45
  List after swap: [-45, 7, 13, 41]
  Compare 7 and 13
  No swap needed

Pass 3:
  Compare -45 and 7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-45, 7, 13, 41]
</think>

<response>-45, 7, 13, 41</response>


input: Perform a bubble sort on the integers -94, 78, 21, -72, 32, -67, -19, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-94, 78, 21, -72, 32, -67, -19]

Pass 1:
  Compare -94 and 78
  No swap needed
  Compare 78 and 21
  Swap 78 and 21
  List after swap: [-94, 21, 78, -72, 32, -67, -19]
  Compare 78 and -72
  Swap 78 and -72
  List after swap: [-94, 21, -72, 78, 32, -67, -19]
  Compare 78 and 32
  Swap 78 and 32
  List after swap: [-94, 21, -72, 32, 78, -67, -19]
  Compare 78 and -67
  Swap 78 and -67
  List after swap: [-94, 21, -72, 32, -67, 78, -19]
  Compare 78 and -19
  Swap 78 and -19
  List after swap: [-94, 21, -72, 32, -67, -19, 78]

Pass 2:
  Compare -94 and 21
  No swap needed
  Compare 21 and -72
  Swap 21 and -72
  List after swap: [-94, -72, 21, 32, -67, -19, 78]
  Compare 21 and 32
  No swap needed
  Compare 32 and -67
  Swap 32 and -67
  List after swap: [-94, -72, 21, -67, 32, -19, 78]
  Compare 32 and -19
  Swap 32 and -19
  List after swap: [-94, -72, 21, -67, -19, 32, 78]

Pass 3:
  Compare -94 and -72
  No swap needed
  Compare -72 and 21
  No swap needed
  Compare 21 and -67
  Swap 21 and -67
  List after swap: [-94, -72, -67, 21, -19, 32, 78]
  Compare 21 and -19
  Swap 21 and -19
  List after swap: [-94, -72, -67, -19, 21, 32, 78]

Pass 4:
  Compare -94 and -72
  No swap needed
  Compare -72 and -67
  No swap needed
  Compare -67 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -72, -67, -19, 21, 32, 78]
</think>

<response>-94, -72, -67, -19, 21, 32, 78</response>


input: Carry out the bubble sort algorithm on -40, 28, 82, 41, -52 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-40, 28, 82, 41, -52]

Pass 1:
  Compare -40 and 28
  No swap needed
  Compare 28 and 82
  No swap needed
  Compare 82 and 41
  Swap 82 and 41
  List after swap: [-40, 28, 41, 82, -52]
  Compare 82 and -52
  Swap 82 and -52
  List after swap: [-40, 28, 41, -52, 82]

Pass 2:
  Compare -40 and 28
  No swap needed
  Compare 28 and 41
  No swap needed
  Compare 41 and -52
  Swap 41 and -52
  List after swap: [-40, 28, -52, 41, 82]

Pass 3:
  Compare -40 and 28
  No swap needed
  Compare 28 and -52
  Swap 28 and -52
  List after swap: [-40, -52, 28, 41, 82]

Pass 4:
  Compare -40 and -52
  Swap -40 and -52
  List after swap: [-52, -40, 28, 41, 82]

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

Final sorted list: [-52, -40, 28, 41, 82]
</think>

<response>-52, -40, 28, 41, 82</response>


input: Perform a bubble sort on the integers -86, 12, 50, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-86, 12, 50]

Pass 1:
  Compare -86 and 12
  No swap needed
  Compare 12 and 50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, 12, 50]
</think>

<response>-86, 12, 50</response>


input: Arrange the numbers 79, -45, 70, -3, -13 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [79, -45, 70, -3, -13]

Pass 1:
  Compare 79 and -45
  Swap 79 and -45
  List after swap: [-45, 79, 70, -3, -13]
  Compare 79 and 70
  Swap 79 and 70
  List after swap: [-45, 70, 79, -3, -13]
  Compare 79 and -3
  Swap 79 and -3
  List after swap: [-45, 70, -3, 79, -13]
  Compare 79 and -13
  Swap 79 and -13
  List after swap: [-45, 70, -3, -13, 79]

Pass 2:
  Compare -45 and 70
  No swap needed
  Compare 70 and -3
  Swap 70 and -3
  List after swap: [-45, -3, 70, -13, 79]
  Compare 70 and -13
  Swap 70 and -13
  List after swap: [-45, -3, -13, 70, 79]

Pass 3:
  Compare -45 and -3
  No swap needed
  Compare -3 and -13
  Swap -3 and -13
  List after swap: [-45, -13, -3, 70, 79]

Pass 4:
  Compare -45 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-45, -13, -3, 70, 79]
</think>

<response>-45, -13, -3, 70, 79</response>