input: Carry out the bubble sort algorithm on 84, 42, -86, 34, 82, 80, 71, -68, -99, 31 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [84, 42, -86, 34, 82, 80, 71, -68, -99, 31]

Pass 1:
  Compare 84 and 42
  Swap 84 and 42
  List after swap: [42, 84, -86, 34, 82, 80, 71, -68, -99, 31]
  Compare 84 and -86
  Swap 84 and -86
  List after swap: [42, -86, 84, 34, 82, 80, 71, -68, -99, 31]
  Compare 84 and 34
  Swap 84 and 34
  List after swap: [42, -86, 34, 84, 82, 80, 71, -68, -99, 31]
  Compare 84 and 82
  Swap 84 and 82
  List after swap: [42, -86, 34, 82, 84, 80, 71, -68, -99, 31]
  Compare 84 and 80
  Swap 84 and 80
  List after swap: [42, -86, 34, 82, 80, 84, 71, -68, -99, 31]
  Compare 84 and 71
  Swap 84 and 71
  List after swap: [42, -86, 34, 82, 80, 71, 84, -68, -99, 31]
  Compare 84 and -68
  Swap 84 and -68
  List after swap: [42, -86, 34, 82, 80, 71, -68, 84, -99, 31]
  Compare 84 and -99
  Swap 84 and -99
  List after swap: [42, -86, 34, 82, 80, 71, -68, -99, 84, 31]
  Compare 84 and 31
  Swap 84 and 31
  List after swap: [42, -86, 34, 82, 80, 71, -68, -99, 31, 84]

Pass 2:
  Compare 42 and -86
  Swap 42 and -86
  List after swap: [-86, 42, 34, 82, 80, 71, -68, -99, 31, 84]
  Compare 42 and 34
  Swap 42 and 34
  List after swap: [-86, 34, 42, 82, 80, 71, -68, -99, 31, 84]
  Compare 42 and 82
  No swap needed
  Compare 82 and 80
  Swap 82 and 80
  List after swap: [-86, 34, 42, 80, 82, 71, -68, -99, 31, 84]
  Compare 82 and 71
  Swap 82 and 71
  List after swap: [-86, 34, 42, 80, 71, 82, -68, -99, 31, 84]
  Compare 82 and -68
  Swap 82 and -68
  List after swap: [-86, 34, 42, 80, 71, -68, 82, -99, 31, 84]
  Compare 82 and -99
  Swap 82 and -99
  List after swap: [-86, 34, 42, 80, 71, -68, -99, 82, 31, 84]
  Compare 82 and 31
  Swap 82 and 31
  List after swap: [-86, 34, 42, 80, 71, -68, -99, 31, 82, 84]

Pass 3:
  Compare -86 and 34
  No swap needed
  Compare 34 and 42
  No swap needed
  Compare 42 and 80
  No swap needed
  Compare 80 and 71
  Swap 80 and 71
  List after swap: [-86, 34, 42, 71, 80, -68, -99, 31, 82, 84]
  Compare 80 and -68
  Swap 80 and -68
  List after swap: [-86, 34, 42, 71, -68, 80, -99, 31, 82, 84]
  Compare 80 and -99
  Swap 80 and -99
  List after swap: [-86, 34, 42, 71, -68, -99, 80, 31, 82, 84]
  Compare 80 and 31
  Swap 80 and 31
  List after swap: [-86, 34, 42, 71, -68, -99, 31, 80, 82, 84]

Pass 4:
  Compare -86 and 34
  No swap needed
  Compare 34 and 42
  No swap needed
  Compare 42 and 71
  No swap needed
  Compare 71 and -68
  Swap 71 and -68
  List after swap: [-86, 34, 42, -68, 71, -99, 31, 80, 82, 84]
  Compare 71 and -99
  Swap 71 and -99
  List after swap: [-86, 34, 42, -68, -99, 71, 31, 80, 82, 84]
  Compare 71 and 31
  Swap 71 and 31
  List after swap: [-86, 34, 42, -68, -99, 31, 71, 80, 82, 84]

Pass 5:
  Compare -86 and 34
  No swap needed
  Compare 34 and 42
  No swap needed
  Compare 42 and -68
  Swap 42 and -68
  List after swap: [-86, 34, -68, 42, -99, 31, 71, 80, 82, 84]
  Compare 42 and -99
  Swap 42 and -99
  List after swap: [-86, 34, -68, -99, 42, 31, 71, 80, 82, 84]
  Compare 42 and 31
  Swap 42 and 31
  List after swap: [-86, 34, -68, -99, 31, 42, 71, 80, 82, 84]

Pass 6:
  Compare -86 and 34
  No swap needed
  Compare 34 and -68
  Swap 34 and -68
  List after swap: [-86, -68, 34, -99, 31, 42, 71, 80, 82, 84]
  Compare 34 and -99
  Swap 34 and -99
  List after swap: [-86, -68, -99, 34, 31, 42, 71, 80, 82, 84]
  Compare 34 and 31
  Swap 34 and 31
  List after swap: [-86, -68, -99, 31, 34, 42, 71, 80, 82, 84]

Pass 7:
  Compare -86 and -68
  No swap needed
  Compare -68 and -99
  Swap -68 and -99
  List after swap: [-86, -99, -68, 31, 34, 42, 71, 80, 82, 84]
  Compare -68 and 31
  No swap needed

Pass 8:
  Compare -86 and -99
  Swap -86 and -99
  List after swap: [-99, -86, -68, 31, 34, 42, 71, 80, 82, 84]
  Compare -86 and -68
  No swap needed

Pass 9:
  Compare -99 and -86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -86, -68, 31, 34, 42, 71, 80, 82, 84]
</think>

<response>-99, -86, -68, 31, 34, 42, 71, 80, 82, 84</response>


input: Perform a bubble sort on the integers 42, -13, -61, -23, 84, 37, 74, 36, 80, 26, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [42, -13, -61, -23, 84, 37, 74, 36, 80, 26]

Pass 1:
  Compare 42 and -13
  Swap 42 and -13
  List after swap: [-13, 42, -61, -23, 84, 37, 74, 36, 80, 26]
  Compare 42 and -61
  Swap 42 and -61
  List after swap: [-13, -61, 42, -23, 84, 37, 74, 36, 80, 26]
  Compare 42 and -23
  Swap 42 and -23
  List after swap: [-13, -61, -23, 42, 84, 37, 74, 36, 80, 26]
  Compare 42 and 84
  No swap needed
  Compare 84 and 37
  Swap 84 and 37
  List after swap: [-13, -61, -23, 42, 37, 84, 74, 36, 80, 26]
  Compare 84 and 74
  Swap 84 and 74
  List after swap: [-13, -61, -23, 42, 37, 74, 84, 36, 80, 26]
  Compare 84 and 36
  Swap 84 and 36
  List after swap: [-13, -61, -23, 42, 37, 74, 36, 84, 80, 26]
  Compare 84 and 80
  Swap 84 and 80
  List after swap: [-13, -61, -23, 42, 37, 74, 36, 80, 84, 26]
  Compare 84 and 26
  Swap 84 and 26
  List after swap: [-13, -61, -23, 42, 37, 74, 36, 80, 26, 84]

Pass 2:
  Compare -13 and -61
  Swap -13 and -61
  List after swap: [-61, -13, -23, 42, 37, 74, 36, 80, 26, 84]
  Compare -13 and -23
  Swap -13 and -23
  List after swap: [-61, -23, -13, 42, 37, 74, 36, 80, 26, 84]
  Compare -13 and 42
  No swap needed
  Compare 42 and 37
  Swap 42 and 37
  List after swap: [-61, -23, -13, 37, 42, 74, 36, 80, 26, 84]
  Compare 42 and 74
  No swap needed
  Compare 74 and 36
  Swap 74 and 36
  List after swap: [-61, -23, -13, 37, 42, 36, 74, 80, 26, 84]
  Compare 74 and 80
  No swap needed
  Compare 80 and 26
  Swap 80 and 26
  List after swap: [-61, -23, -13, 37, 42, 36, 74, 26, 80, 84]

Pass 3:
  Compare -61 and -23
  No swap needed
  Compare -23 and -13
  No swap needed
  Compare -13 and 37
  No swap needed
  Compare 37 and 42
  No swap needed
  Compare 42 and 36
  Swap 42 and 36
  List after swap: [-61, -23, -13, 37, 36, 42, 74, 26, 80, 84]
  Compare 42 and 74
  No swap needed
  Compare 74 and 26
  Swap 74 and 26
  List after swap: [-61, -23, -13, 37, 36, 42, 26, 74, 80, 84]

Pass 4:
  Compare -61 and -23
  No swap needed
  Compare -23 and -13
  No swap needed
  Compare -13 and 37
  No swap needed
  Compare 37 and 36
  Swap 37 and 36
  List after swap: [-61, -23, -13, 36, 37, 42, 26, 74, 80, 84]
  Compare 37 and 42
  No swap needed
  Compare 42 and 26
  Swap 42 and 26
  List after swap: [-61, -23, -13, 36, 37, 26, 42, 74, 80, 84]

Pass 5:
  Compare -61 and -23
  No swap needed
  Compare -23 and -13
  No swap needed
  Compare -13 and 36
  No swap needed
  Compare 36 and 37
  No swap needed
  Compare 37 and 26
  Swap 37 and 26
  List after swap: [-61, -23, -13, 36, 26, 37, 42, 74, 80, 84]

Pass 6:
  Compare -61 and -23
  No swap needed
  Compare -23 and -13
  No swap needed
  Compare -13 and 36
  No swap needed
  Compare 36 and 26
  Swap 36 and 26
  List after swap: [-61, -23, -13, 26, 36, 37, 42, 74, 80, 84]

Pass 7:
  Compare -61 and -23
  No swap needed
  Compare -23 and -13
  No swap needed
  Compare -13 and 26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -23, -13, 26, 36, 37, 42, 74, 80, 84]
</think>

<response>-61, -23, -13, 26, 36, 37, 42, 74, 80, 84</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 97, -30.

output:
<think>
Initial list: [97, -30]

Pass 1:
  Compare 97 and -30
  Swap 97 and -30
  List after swap: [-30, 97]

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

Final sorted list: [-30, 97]
</think>

<response>-30, 97</response>


input: Perform a bubble sort on the integers -100, -23, 97, -57, 1, -97, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-100, -23, 97, -57, 1, -97]

Pass 1:
  Compare -100 and -23
  No swap needed
  Compare -23 and 97
  No swap needed
  Compare 97 and -57
  Swap 97 and -57
  List after swap: [-100, -23, -57, 97, 1, -97]
  Compare 97 and 1
  Swap 97 and 1
  List after swap: [-100, -23, -57, 1, 97, -97]
  Compare 97 and -97
  Swap 97 and -97
  List after swap: [-100, -23, -57, 1, -97, 97]

Pass 2:
  Compare -100 and -23
  No swap needed
  Compare -23 and -57
  Swap -23 and -57
  List after swap: [-100, -57, -23, 1, -97, 97]
  Compare -23 and 1
  No swap needed
  Compare 1 and -97
  Swap 1 and -97
  List after swap: [-100, -57, -23, -97, 1, 97]

Pass 3:
  Compare -100 and -57
  No swap needed
  Compare -57 and -23
  No swap needed
  Compare -23 and -97
  Swap -23 and -97
  List after swap: [-100, -57, -97, -23, 1, 97]

Pass 4:
  Compare -100 and -57
  No swap needed
  Compare -57 and -97
  Swap -57 and -97
  List after swap: [-100, -97, -57, -23, 1, 97]

Pass 5:
  Compare -100 and -97
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -97, -57, -23, 1, 97]
</think>

<response>-100, -97, -57, -23, 1, 97</response>


input: Implement bubble sort on -31, -77, -46, 44, -14, 76, -3, -7, -12, -66 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-31, -77, -46, 44, -14, 76, -3, -7, -12, -66]

Pass 1:
  Compare -31 and -77
  Swap -31 and -77
  List after swap: [-77, -31, -46, 44, -14, 76, -3, -7, -12, -66]
  Compare -31 and -46
  Swap -31 and -46
  List after swap: [-77, -46, -31, 44, -14, 76, -3, -7, -12, -66]
  Compare -31 and 44
  No swap needed
  Compare 44 and -14
  Swap 44 and -14
  List after swap: [-77, -46, -31, -14, 44, 76, -3, -7, -12, -66]
  Compare 44 and 76
  No swap needed
  Compare 76 and -3
  Swap 76 and -3
  List after swap: [-77, -46, -31, -14, 44, -3, 76, -7, -12, -66]
  Compare 76 and -7
  Swap 76 and -7
  List after swap: [-77, -46, -31, -14, 44, -3, -7, 76, -12, -66]
  Compare 76 and -12
  Swap 76 and -12
  List after swap: [-77, -46, -31, -14, 44, -3, -7, -12, 76, -66]
  Compare 76 and -66
  Swap 76 and -66
  List after swap: [-77, -46, -31, -14, 44, -3, -7, -12, -66, 76]

Pass 2:
  Compare -77 and -46
  No swap needed
  Compare -46 and -31
  No swap needed
  Compare -31 and -14
  No swap needed
  Compare -14 and 44
  No swap needed
  Compare 44 and -3
  Swap 44 and -3
  List after swap: [-77, -46, -31, -14, -3, 44, -7, -12, -66, 76]
  Compare 44 and -7
  Swap 44 and -7
  List after swap: [-77, -46, -31, -14, -3, -7, 44, -12, -66, 76]
  Compare 44 and -12
  Swap 44 and -12
  List after swap: [-77, -46, -31, -14, -3, -7, -12, 44, -66, 76]
  Compare 44 and -66
  Swap 44 and -66
  List after swap: [-77, -46, -31, -14, -3, -7, -12, -66, 44, 76]

Pass 3:
  Compare -77 and -46
  No swap needed
  Compare -46 and -31
  No swap needed
  Compare -31 and -14
  No swap needed
  Compare -14 and -3
  No swap needed
  Compare -3 and -7
  Swap -3 and -7
  List after swap: [-77, -46, -31, -14, -7, -3, -12, -66, 44, 76]
  Compare -3 and -12
  Swap -3 and -12
  List after swap: [-77, -46, -31, -14, -7, -12, -3, -66, 44, 76]
  Compare -3 and -66
  Swap -3 and -66
  List after swap: [-77, -46, -31, -14, -7, -12, -66, -3, 44, 76]

Pass 4:
  Compare -77 and -46
  No swap needed
  Compare -46 and -31
  No swap needed
  Compare -31 and -14
  No swap needed
  Compare -14 and -7
  No swap needed
  Compare -7 and -12
  Swap -7 and -12
  List after swap: [-77, -46, -31, -14, -12, -7, -66, -3, 44, 76]
  Compare -7 and -66
  Swap -7 and -66
  List after swap: [-77, -46, -31, -14, -12, -66, -7, -3, 44, 76]

Pass 5:
  Compare -77 and -46
  No swap needed
  Compare -46 and -31
  No swap needed
  Compare -31 and -14
  No swap needed
  Compare -14 and -12
  No swap needed
  Compare -12 and -66
  Swap -12 and -66
  List after swap: [-77, -46, -31, -14, -66, -12, -7, -3, 44, 76]

Pass 6:
  Compare -77 and -46
  No swap needed
  Compare -46 and -31
  No swap needed
  Compare -31 and -14
  No swap needed
  Compare -14 and -66
  Swap -14 and -66
  List after swap: [-77, -46, -31, -66, -14, -12, -7, -3, 44, 76]

Pass 7:
  Compare -77 and -46
  No swap needed
  Compare -46 and -31
  No swap needed
  Compare -31 and -66
  Swap -31 and -66
  List after swap: [-77, -46, -66, -31, -14, -12, -7, -3, 44, 76]

Pass 8:
  Compare -77 and -46
  No swap needed
  Compare -46 and -66
  Swap -46 and -66
  List after swap: [-77, -66, -46, -31, -14, -12, -7, -3, 44, 76]

Pass 9:
  Compare -77 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -66, -46, -31, -14, -12, -7, -3, 44, 76]
</think>

<response>-77, -66, -46, -31, -14, -12, -7, -3, 44, 76</response>


input: Perform a bubble sort on the integers -47, -60, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-47, -60]

Pass 1:
  Compare -47 and -60
  Swap -47 and -60
  List after swap: [-60, -47]

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

Final sorted list: [-60, -47]
</think>

<response>-60, -47</response>


input: Arrange the numbers 42, 43, -94, -32, -81, -92 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [42, 43, -94, -32, -81, -92]

Pass 1:
  Compare 42 and 43
  No swap needed
  Compare 43 and -94
  Swap 43 and -94
  List after swap: [42, -94, 43, -32, -81, -92]
  Compare 43 and -32
  Swap 43 and -32
  List after swap: [42, -94, -32, 43, -81, -92]
  Compare 43 and -81
  Swap 43 and -81
  List after swap: [42, -94, -32, -81, 43, -92]
  Compare 43 and -92
  Swap 43 and -92
  List after swap: [42, -94, -32, -81, -92, 43]

Pass 2:
  Compare 42 and -94
  Swap 42 and -94
  List after swap: [-94, 42, -32, -81, -92, 43]
  Compare 42 and -32
  Swap 42 and -32
  List after swap: [-94, -32, 42, -81, -92, 43]
  Compare 42 and -81
  Swap 42 and -81
  List after swap: [-94, -32, -81, 42, -92, 43]
  Compare 42 and -92
  Swap 42 and -92
  List after swap: [-94, -32, -81, -92, 42, 43]

Pass 3:
  Compare -94 and -32
  No swap needed
  Compare -32 and -81
  Swap -32 and -81
  List after swap: [-94, -81, -32, -92, 42, 43]
  Compare -32 and -92
  Swap -32 and -92
  List after swap: [-94, -81, -92, -32, 42, 43]

Pass 4:
  Compare -94 and -81
  No swap needed
  Compare -81 and -92
  Swap -81 and -92
  List after swap: [-94, -92, -81, -32, 42, 43]

Pass 5:
  Compare -94 and -92
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -92, -81, -32, 42, 43]
</think>

<response>-94, -92, -81, -32, 42, 43</response>


input: Demonstrate how bubble sort orders the integers -96, 31, -72, -38 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-96, 31, -72, -38]

Pass 1:
  Compare -96 and 31
  No swap needed
  Compare 31 and -72
  Swap 31 and -72
  List after swap: [-96, -72, 31, -38]
  Compare 31 and -38
  Swap 31 and -38
  List after swap: [-96, -72, -38, 31]

Pass 2:
  Compare -96 and -72
  No swap needed
  Compare -72 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -72, -38, 31]
</think>

<response>-96, -72, -38, 31</response>


input: Sort these integers 14, 44 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [14, 44]

Pass 1:
  Compare 14 and 44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [14, 44]
</think>

<response>14, 44</response>


input: Sort these integers -2, 10, 0, 47, 29, 46 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-2, 10, 0, 47, 29, 46]

Pass 1:
  Compare -2 and 10
  No swap needed
  Compare 10 and 0
  Swap 10 and 0
  List after swap: [-2, 0, 10, 47, 29, 46]
  Compare 10 and 47
  No swap needed
  Compare 47 and 29
  Swap 47 and 29
  List after swap: [-2, 0, 10, 29, 47, 46]
  Compare 47 and 46
  Swap 47 and 46
  List after swap: [-2, 0, 10, 29, 46, 47]

Pass 2:
  Compare -2 and 0
  No swap needed
  Compare 0 and 10
  No swap needed
  Compare 10 and 29
  No swap needed
  Compare 29 and 46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-2, 0, 10, 29, 46, 47]
</think>

<response>-2, 0, 10, 29, 46, 47</response>


input: Use the bubble sort technique to reorder 9, -79, -71, -14, -94, 29, -77, 58, 55 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [9, -79, -71, -14, -94, 29, -77, 58, 55]

Pass 1:
  Compare 9 and -79
  Swap 9 and -79
  List after swap: [-79, 9, -71, -14, -94, 29, -77, 58, 55]
  Compare 9 and -71
  Swap 9 and -71
  List after swap: [-79, -71, 9, -14, -94, 29, -77, 58, 55]
  Compare 9 and -14
  Swap 9 and -14
  List after swap: [-79, -71, -14, 9, -94, 29, -77, 58, 55]
  Compare 9 and -94
  Swap 9 and -94
  List after swap: [-79, -71, -14, -94, 9, 29, -77, 58, 55]
  Compare 9 and 29
  No swap needed
  Compare 29 and -77
  Swap 29 and -77
  List after swap: [-79, -71, -14, -94, 9, -77, 29, 58, 55]
  Compare 29 and 58
  No swap needed
  Compare 58 and 55
  Swap 58 and 55
  List after swap: [-79, -71, -14, -94, 9, -77, 29, 55, 58]

Pass 2:
  Compare -79 and -71
  No swap needed
  Compare -71 and -14
  No swap needed
  Compare -14 and -94
  Swap -14 and -94
  List after swap: [-79, -71, -94, -14, 9, -77, 29, 55, 58]
  Compare -14 and 9
  No swap needed
  Compare 9 and -77
  Swap 9 and -77
  List after swap: [-79, -71, -94, -14, -77, 9, 29, 55, 58]
  Compare 9 and 29
  No swap needed
  Compare 29 and 55
  No swap needed

Pass 3:
  Compare -79 and -71
  No swap needed
  Compare -71 and -94
  Swap -71 and -94
  List after swap: [-79, -94, -71, -14, -77, 9, 29, 55, 58]
  Compare -71 and -14
  No swap needed
  Compare -14 and -77
  Swap -14 and -77
  List after swap: [-79, -94, -71, -77, -14, 9, 29, 55, 58]
  Compare -14 and 9
  No swap needed
  Compare 9 and 29
  No swap needed

Pass 4:
  Compare -79 and -94
  Swap -79 and -94
  List after swap: [-94, -79, -71, -77, -14, 9, 29, 55, 58]
  Compare -79 and -71
  No swap needed
  Compare -71 and -77
  Swap -71 and -77
  List after swap: [-94, -79, -77, -71, -14, 9, 29, 55, 58]
  Compare -71 and -14
  No swap needed
  Compare -14 and 9
  No swap needed

Pass 5:
  Compare -94 and -79
  No swap needed
  Compare -79 and -77
  No swap needed
  Compare -77 and -71
  No swap needed
  Compare -71 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -79, -77, -71, -14, 9, 29, 55, 58]
</think>

<response>-94, -79, -77, -71, -14, 9, 29, 55, 58</response>


input: Perform a bubble sort on the integers 42, 59, 96, 29, 24, -78, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [42, 59, 96, 29, 24, -78]

Pass 1:
  Compare 42 and 59
  No swap needed
  Compare 59 and 96
  No swap needed
  Compare 96 and 29
  Swap 96 and 29
  List after swap: [42, 59, 29, 96, 24, -78]
  Compare 96 and 24
  Swap 96 and 24
  List after swap: [42, 59, 29, 24, 96, -78]
  Compare 96 and -78
  Swap 96 and -78
  List after swap: [42, 59, 29, 24, -78, 96]

Pass 2:
  Compare 42 and 59
  No swap needed
  Compare 59 and 29
  Swap 59 and 29
  List after swap: [42, 29, 59, 24, -78, 96]
  Compare 59 and 24
  Swap 59 and 24
  List after swap: [42, 29, 24, 59, -78, 96]
  Compare 59 and -78
  Swap 59 and -78
  List after swap: [42, 29, 24, -78, 59, 96]

Pass 3:
  Compare 42 and 29
  Swap 42 and 29
  List after swap: [29, 42, 24, -78, 59, 96]
  Compare 42 and 24
  Swap 42 and 24
  List after swap: [29, 24, 42, -78, 59, 96]
  Compare 42 and -78
  Swap 42 and -78
  List after swap: [29, 24, -78, 42, 59, 96]

Pass 4:
  Compare 29 and 24
  Swap 29 and 24
  List after swap: [24, 29, -78, 42, 59, 96]
  Compare 29 and -78
  Swap 29 and -78
  List after swap: [24, -78, 29, 42, 59, 96]

Pass 5:
  Compare 24 and -78
  Swap 24 and -78
  List after swap: [-78, 24, 29, 42, 59, 96]

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

Final sorted list: [-78, 24, 29, 42, 59, 96]
</think>

<response>-78, 24, 29, 42, 59, 96</response>


input: Sort the list -50, 26, -74, 41, 20 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-50, 26, -74, 41, 20]

Pass 1:
  Compare -50 and 26
  No swap needed
  Compare 26 and -74
  Swap 26 and -74
  List after swap: [-50, -74, 26, 41, 20]
  Compare 26 and 41
  No swap needed
  Compare 41 and 20
  Swap 41 and 20
  List after swap: [-50, -74, 26, 20, 41]

Pass 2:
  Compare -50 and -74
  Swap -50 and -74
  List after swap: [-74, -50, 26, 20, 41]
  Compare -50 and 26
  No swap needed
  Compare 26 and 20
  Swap 26 and 20
  List after swap: [-74, -50, 20, 26, 41]

Pass 3:
  Compare -74 and -50
  No swap needed
  Compare -50 and 20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -50, 20, 26, 41]
</think>

<response>-74, -50, 20, 26, 41</response>


input: Sort these integers -6, 89, 33, 60, -48, -45, 47 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-6, 89, 33, 60, -48, -45, 47]

Pass 1:
  Compare -6 and 89
  No swap needed
  Compare 89 and 33
  Swap 89 and 33
  List after swap: [-6, 33, 89, 60, -48, -45, 47]
  Compare 89 and 60
  Swap 89 and 60
  List after swap: [-6, 33, 60, 89, -48, -45, 47]
  Compare 89 and -48
  Swap 89 and -48
  List after swap: [-6, 33, 60, -48, 89, -45, 47]
  Compare 89 and -45
  Swap 89 and -45
  List after swap: [-6, 33, 60, -48, -45, 89, 47]
  Compare 89 and 47
  Swap 89 and 47
  List after swap: [-6, 33, 60, -48, -45, 47, 89]

Pass 2:
  Compare -6 and 33
  No swap needed
  Compare 33 and 60
  No swap needed
  Compare 60 and -48
  Swap 60 and -48
  List after swap: [-6, 33, -48, 60, -45, 47, 89]
  Compare 60 and -45
  Swap 60 and -45
  List after swap: [-6, 33, -48, -45, 60, 47, 89]
  Compare 60 and 47
  Swap 60 and 47
  List after swap: [-6, 33, -48, -45, 47, 60, 89]

Pass 3:
  Compare -6 and 33
  No swap needed
  Compare 33 and -48
  Swap 33 and -48
  List after swap: [-6, -48, 33, -45, 47, 60, 89]
  Compare 33 and -45
  Swap 33 and -45
  List after swap: [-6, -48, -45, 33, 47, 60, 89]
  Compare 33 and 47
  No swap needed

Pass 4:
  Compare -6 and -48
  Swap -6 and -48
  List after swap: [-48, -6, -45, 33, 47, 60, 89]
  Compare -6 and -45
  Swap -6 and -45
  List after swap: [-48, -45, -6, 33, 47, 60, 89]
  Compare -6 and 33
  No swap needed

Pass 5:
  Compare -48 and -45
  No swap needed
  Compare -45 and -6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-48, -45, -6, 33, 47, 60, 89]
</think>

<response>-48, -45, -6, 33, 47, 60, 89</response>


input: Carry out the bubble sort algorithm on -51, -37, -32, 26, -48, 54, -90, -57, 24, 89 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-51, -37, -32, 26, -48, 54, -90, -57, 24, 89]

Pass 1:
  Compare -51 and -37
  No swap needed
  Compare -37 and -32
  No swap needed
  Compare -32 and 26
  No swap needed
  Compare 26 and -48
  Swap 26 and -48
  List after swap: [-51, -37, -32, -48, 26, 54, -90, -57, 24, 89]
  Compare 26 and 54
  No swap needed
  Compare 54 and -90
  Swap 54 and -90
  List after swap: [-51, -37, -32, -48, 26, -90, 54, -57, 24, 89]
  Compare 54 and -57
  Swap 54 and -57
  List after swap: [-51, -37, -32, -48, 26, -90, -57, 54, 24, 89]
  Compare 54 and 24
  Swap 54 and 24
  List after swap: [-51, -37, -32, -48, 26, -90, -57, 24, 54, 89]
  Compare 54 and 89
  No swap needed

Pass 2:
  Compare -51 and -37
  No swap needed
  Compare -37 and -32
  No swap needed
  Compare -32 and -48
  Swap -32 and -48
  List after swap: [-51, -37, -48, -32, 26, -90, -57, 24, 54, 89]
  Compare -32 and 26
  No swap needed
  Compare 26 and -90
  Swap 26 and -90
  List after swap: [-51, -37, -48, -32, -90, 26, -57, 24, 54, 89]
  Compare 26 and -57
  Swap 26 and -57
  List after swap: [-51, -37, -48, -32, -90, -57, 26, 24, 54, 89]
  Compare 26 and 24
  Swap 26 and 24
  List after swap: [-51, -37, -48, -32, -90, -57, 24, 26, 54, 89]
  Compare 26 and 54
  No swap needed

Pass 3:
  Compare -51 and -37
  No swap needed
  Compare -37 and -48
  Swap -37 and -48
  List after swap: [-51, -48, -37, -32, -90, -57, 24, 26, 54, 89]
  Compare -37 and -32
  No swap needed
  Compare -32 and -90
  Swap -32 and -90
  List after swap: [-51, -48, -37, -90, -32, -57, 24, 26, 54, 89]
  Compare -32 and -57
  Swap -32 and -57
  List after swap: [-51, -48, -37, -90, -57, -32, 24, 26, 54, 89]
  Compare -32 and 24
  No swap needed
  Compare 24 and 26
  No swap needed

Pass 4:
  Compare -51 and -48
  No swap needed
  Compare -48 and -37
  No swap needed
  Compare -37 and -90
  Swap -37 and -90
  List after swap: [-51, -48, -90, -37, -57, -32, 24, 26, 54, 89]
  Compare -37 and -57
  Swap -37 and -57
  List after swap: [-51, -48, -90, -57, -37, -32, 24, 26, 54, 89]
  Compare -37 and -32
  No swap needed
  Compare -32 and 24
  No swap needed

Pass 5:
  Compare -51 and -48
  No swap needed
  Compare -48 and -90
  Swap -48 and -90
  List after swap: [-51, -90, -48, -57, -37, -32, 24, 26, 54, 89]
  Compare -48 and -57
  Swap -48 and -57
  List after swap: [-51, -90, -57, -48, -37, -32, 24, 26, 54, 89]
  Compare -48 and -37
  No swap needed
  Compare -37 and -32
  No swap needed

Pass 6:
  Compare -51 and -90
  Swap -51 and -90
  List after swap: [-90, -51, -57, -48, -37, -32, 24, 26, 54, 89]
  Compare -51 and -57
  Swap -51 and -57
  List after swap: [-90, -57, -51, -48, -37, -32, 24, 26, 54, 89]
  Compare -51 and -48
  No swap needed
  Compare -48 and -37
  No swap needed

Pass 7:
  Compare -90 and -57
  No swap needed
  Compare -57 and -51
  No swap needed
  Compare -51 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -57, -51, -48, -37, -32, 24, 26, 54, 89]
</think>

<response>-90, -57, -51, -48, -37, -32, 24, 26, 54, 89</response>


input: Execute bubble sort to sort -9, -60, -98, -13, -48, 45, -25, 27, 92, -56 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-9, -60, -98, -13, -48, 45, -25, 27, 92, -56]

Pass 1:
  Compare -9 and -60
  Swap -9 and -60
  List after swap: [-60, -9, -98, -13, -48, 45, -25, 27, 92, -56]
  Compare -9 and -98
  Swap -9 and -98
  List after swap: [-60, -98, -9, -13, -48, 45, -25, 27, 92, -56]
  Compare -9 and -13
  Swap -9 and -13
  List after swap: [-60, -98, -13, -9, -48, 45, -25, 27, 92, -56]
  Compare -9 and -48
  Swap -9 and -48
  List after swap: [-60, -98, -13, -48, -9, 45, -25, 27, 92, -56]
  Compare -9 and 45
  No swap needed
  Compare 45 and -25
  Swap 45 and -25
  List after swap: [-60, -98, -13, -48, -9, -25, 45, 27, 92, -56]
  Compare 45 and 27
  Swap 45 and 27
  List after swap: [-60, -98, -13, -48, -9, -25, 27, 45, 92, -56]
  Compare 45 and 92
  No swap needed
  Compare 92 and -56
  Swap 92 and -56
  List after swap: [-60, -98, -13, -48, -9, -25, 27, 45, -56, 92]

Pass 2:
  Compare -60 and -98
  Swap -60 and -98
  List after swap: [-98, -60, -13, -48, -9, -25, 27, 45, -56, 92]
  Compare -60 and -13
  No swap needed
  Compare -13 and -48
  Swap -13 and -48
  List after swap: [-98, -60, -48, -13, -9, -25, 27, 45, -56, 92]
  Compare -13 and -9
  No swap needed
  Compare -9 and -25
  Swap -9 and -25
  List after swap: [-98, -60, -48, -13, -25, -9, 27, 45, -56, 92]
  Compare -9 and 27
  No swap needed
  Compare 27 and 45
  No swap needed
  Compare 45 and -56
  Swap 45 and -56
  List after swap: [-98, -60, -48, -13, -25, -9, 27, -56, 45, 92]

Pass 3:
  Compare -98 and -60
  No swap needed
  Compare -60 and -48
  No swap needed
  Compare -48 and -13
  No swap needed
  Compare -13 and -25
  Swap -13 and -25
  List after swap: [-98, -60, -48, -25, -13, -9, 27, -56, 45, 92]
  Compare -13 and -9
  No swap needed
  Compare -9 and 27
  No swap needed
  Compare 27 and -56
  Swap 27 and -56
  List after swap: [-98, -60, -48, -25, -13, -9, -56, 27, 45, 92]

Pass 4:
  Compare -98 and -60
  No swap needed
  Compare -60 and -48
  No swap needed
  Compare -48 and -25
  No swap needed
  Compare -25 and -13
  No swap needed
  Compare -13 and -9
  No swap needed
  Compare -9 and -56
  Swap -9 and -56
  List after swap: [-98, -60, -48, -25, -13, -56, -9, 27, 45, 92]

Pass 5:
  Compare -98 and -60
  No swap needed
  Compare -60 and -48
  No swap needed
  Compare -48 and -25
  No swap needed
  Compare -25 and -13
  No swap needed
  Compare -13 and -56
  Swap -13 and -56
  List after swap: [-98, -60, -48, -25, -56, -13, -9, 27, 45, 92]

Pass 6:
  Compare -98 and -60
  No swap needed
  Compare -60 and -48
  No swap needed
  Compare -48 and -25
  No swap needed
  Compare -25 and -56
  Swap -25 and -56
  List after swap: [-98, -60, -48, -56, -25, -13, -9, 27, 45, 92]

Pass 7:
  Compare -98 and -60
  No swap needed
  Compare -60 and -48
  No swap needed
  Compare -48 and -56
  Swap -48 and -56
  List after swap: [-98, -60, -56, -48, -25, -13, -9, 27, 45, 92]

Pass 8:
  Compare -98 and -60
  No swap needed
  Compare -60 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -60, -56, -48, -25, -13, -9, 27, 45, 92]
</think>

<response>-98, -60, -56, -48, -25, -13, -9, 27, 45, 92</response>


input: Demonstrate how bubble sort orders the integers -24, 1, -19 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-24, 1, -19]

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

Pass 2:
  Compare -24 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-24, -19, 1]
</think>

<response>-24, -19, 1</response>


input: Perform a bubble sort on the integers -62, 69, 91, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-62, 69, 91]

Pass 1:
  Compare -62 and 69
  No swap needed
  Compare 69 and 91
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, 69, 91]
</think>

<response>-62, 69, 91</response>


input: Arrange the numbers -85, 19, -88 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-85, 19, -88]

Pass 1:
  Compare -85 and 19
  No swap needed
  Compare 19 and -88
  Swap 19 and -88
  List after swap: [-85, -88, 19]

Pass 2:
  Compare -85 and -88
  Swap -85 and -88
  List after swap: [-88, -85, 19]

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

Final sorted list: [-88, -85, 19]
</think>

<response>-88, -85, 19</response>


input: Use the bubble sort technique to reorder -74, -20, 89, 96, -55 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-74, -20, 89, 96, -55]

Pass 1:
  Compare -74 and -20
  No swap needed
  Compare -20 and 89
  No swap needed
  Compare 89 and 96
  No swap needed
  Compare 96 and -55
  Swap 96 and -55
  List after swap: [-74, -20, 89, -55, 96]

Pass 2:
  Compare -74 and -20
  No swap needed
  Compare -20 and 89
  No swap needed
  Compare 89 and -55
  Swap 89 and -55
  List after swap: [-74, -20, -55, 89, 96]

Pass 3:
  Compare -74 and -20
  No swap needed
  Compare -20 and -55
  Swap -20 and -55
  List after swap: [-74, -55, -20, 89, 96]

Pass 4:
  Compare -74 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -55, -20, 89, 96]
</think>

<response>-74, -55, -20, 89, 96</response>


input: Sort the list -89, 63, 29, 7, 41, 31, 34, 26 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-89, 63, 29, 7, 41, 31, 34, 26]

Pass 1:
  Compare -89 and 63
  No swap needed
  Compare 63 and 29
  Swap 63 and 29
  List after swap: [-89, 29, 63, 7, 41, 31, 34, 26]
  Compare 63 and 7
  Swap 63 and 7
  List after swap: [-89, 29, 7, 63, 41, 31, 34, 26]
  Compare 63 and 41
  Swap 63 and 41
  List after swap: [-89, 29, 7, 41, 63, 31, 34, 26]
  Compare 63 and 31
  Swap 63 and 31
  List after swap: [-89, 29, 7, 41, 31, 63, 34, 26]
  Compare 63 and 34
  Swap 63 and 34
  List after swap: [-89, 29, 7, 41, 31, 34, 63, 26]
  Compare 63 and 26
  Swap 63 and 26
  List after swap: [-89, 29, 7, 41, 31, 34, 26, 63]

Pass 2:
  Compare -89 and 29
  No swap needed
  Compare 29 and 7
  Swap 29 and 7
  List after swap: [-89, 7, 29, 41, 31, 34, 26, 63]
  Compare 29 and 41
  No swap needed
  Compare 41 and 31
  Swap 41 and 31
  List after swap: [-89, 7, 29, 31, 41, 34, 26, 63]
  Compare 41 and 34
  Swap 41 and 34
  List after swap: [-89, 7, 29, 31, 34, 41, 26, 63]
  Compare 41 and 26
  Swap 41 and 26
  List after swap: [-89, 7, 29, 31, 34, 26, 41, 63]

Pass 3:
  Compare -89 and 7
  No swap needed
  Compare 7 and 29
  No swap needed
  Compare 29 and 31
  No swap needed
  Compare 31 and 34
  No swap needed
  Compare 34 and 26
  Swap 34 and 26
  List after swap: [-89, 7, 29, 31, 26, 34, 41, 63]

Pass 4:
  Compare -89 and 7
  No swap needed
  Compare 7 and 29
  No swap needed
  Compare 29 and 31
  No swap needed
  Compare 31 and 26
  Swap 31 and 26
  List after swap: [-89, 7, 29, 26, 31, 34, 41, 63]

Pass 5:
  Compare -89 and 7
  No swap needed
  Compare 7 and 29
  No swap needed
  Compare 29 and 26
  Swap 29 and 26
  List after swap: [-89, 7, 26, 29, 31, 34, 41, 63]

Pass 6:
  Compare -89 and 7
  No swap needed
  Compare 7 and 26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, 7, 26, 29, 31, 34, 41, 63]
</think>

<response>-89, 7, 26, 29, 31, 34, 41, 63</response>


input: Use the bubble sort technique to reorder -93, 28, -40, -73, -9, 67, -79 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-93, 28, -40, -73, -9, 67, -79]

Pass 1:
  Compare -93 and 28
  No swap needed
  Compare 28 and -40
  Swap 28 and -40
  List after swap: [-93, -40, 28, -73, -9, 67, -79]
  Compare 28 and -73
  Swap 28 and -73
  List after swap: [-93, -40, -73, 28, -9, 67, -79]
  Compare 28 and -9
  Swap 28 and -9
  List after swap: [-93, -40, -73, -9, 28, 67, -79]
  Compare 28 and 67
  No swap needed
  Compare 67 and -79
  Swap 67 and -79
  List after swap: [-93, -40, -73, -9, 28, -79, 67]

Pass 2:
  Compare -93 and -40
  No swap needed
  Compare -40 and -73
  Swap -40 and -73
  List after swap: [-93, -73, -40, -9, 28, -79, 67]
  Compare -40 and -9
  No swap needed
  Compare -9 and 28
  No swap needed
  Compare 28 and -79
  Swap 28 and -79
  List after swap: [-93, -73, -40, -9, -79, 28, 67]

Pass 3:
  Compare -93 and -73
  No swap needed
  Compare -73 and -40
  No swap needed
  Compare -40 and -9
  No swap needed
  Compare -9 and -79
  Swap -9 and -79
  List after swap: [-93, -73, -40, -79, -9, 28, 67]

Pass 4:
  Compare -93 and -73
  No swap needed
  Compare -73 and -40
  No swap needed
  Compare -40 and -79
  Swap -40 and -79
  List after swap: [-93, -73, -79, -40, -9, 28, 67]

Pass 5:
  Compare -93 and -73
  No swap needed
  Compare -73 and -79
  Swap -73 and -79
  List after swap: [-93, -79, -73, -40, -9, 28, 67]

Pass 6:
  Compare -93 and -79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -79, -73, -40, -9, 28, 67]
</think>

<response>-93, -79, -73, -40, -9, 28, 67</response>


input: Using the bubble sort method, sort -18, 72, 41, 54, 80, 40, 78, -66, -92, -38 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-18, 72, 41, 54, 80, 40, 78, -66, -92, -38]

Pass 1:
  Compare -18 and 72
  No swap needed
  Compare 72 and 41
  Swap 72 and 41
  List after swap: [-18, 41, 72, 54, 80, 40, 78, -66, -92, -38]
  Compare 72 and 54
  Swap 72 and 54
  List after swap: [-18, 41, 54, 72, 80, 40, 78, -66, -92, -38]
  Compare 72 and 80
  No swap needed
  Compare 80 and 40
  Swap 80 and 40
  List after swap: [-18, 41, 54, 72, 40, 80, 78, -66, -92, -38]
  Compare 80 and 78
  Swap 80 and 78
  List after swap: [-18, 41, 54, 72, 40, 78, 80, -66, -92, -38]
  Compare 80 and -66
  Swap 80 and -66
  List after swap: [-18, 41, 54, 72, 40, 78, -66, 80, -92, -38]
  Compare 80 and -92
  Swap 80 and -92
  List after swap: [-18, 41, 54, 72, 40, 78, -66, -92, 80, -38]
  Compare 80 and -38
  Swap 80 and -38
  List after swap: [-18, 41, 54, 72, 40, 78, -66, -92, -38, 80]

Pass 2:
  Compare -18 and 41
  No swap needed
  Compare 41 and 54
  No swap needed
  Compare 54 and 72
  No swap needed
  Compare 72 and 40
  Swap 72 and 40
  List after swap: [-18, 41, 54, 40, 72, 78, -66, -92, -38, 80]
  Compare 72 and 78
  No swap needed
  Compare 78 and -66
  Swap 78 and -66
  List after swap: [-18, 41, 54, 40, 72, -66, 78, -92, -38, 80]
  Compare 78 and -92
  Swap 78 and -92
  List after swap: [-18, 41, 54, 40, 72, -66, -92, 78, -38, 80]
  Compare 78 and -38
  Swap 78 and -38
  List after swap: [-18, 41, 54, 40, 72, -66, -92, -38, 78, 80]

Pass 3:
  Compare -18 and 41
  No swap needed
  Compare 41 and 54
  No swap needed
  Compare 54 and 40
  Swap 54 and 40
  List after swap: [-18, 41, 40, 54, 72, -66, -92, -38, 78, 80]
  Compare 54 and 72
  No swap needed
  Compare 72 and -66
  Swap 72 and -66
  List after swap: [-18, 41, 40, 54, -66, 72, -92, -38, 78, 80]
  Compare 72 and -92
  Swap 72 and -92
  List after swap: [-18, 41, 40, 54, -66, -92, 72, -38, 78, 80]
  Compare 72 and -38
  Swap 72 and -38
  List after swap: [-18, 41, 40, 54, -66, -92, -38, 72, 78, 80]

Pass 4:
  Compare -18 and 41
  No swap needed
  Compare 41 and 40
  Swap 41 and 40
  List after swap: [-18, 40, 41, 54, -66, -92, -38, 72, 78, 80]
  Compare 41 and 54
  No swap needed
  Compare 54 and -66
  Swap 54 and -66
  List after swap: [-18, 40, 41, -66, 54, -92, -38, 72, 78, 80]
  Compare 54 and -92
  Swap 54 and -92
  List after swap: [-18, 40, 41, -66, -92, 54, -38, 72, 78, 80]
  Compare 54 and -38
  Swap 54 and -38
  List after swap: [-18, 40, 41, -66, -92, -38, 54, 72, 78, 80]

Pass 5:
  Compare -18 and 40
  No swap needed
  Compare 40 and 41
  No swap needed
  Compare 41 and -66
  Swap 41 and -66
  List after swap: [-18, 40, -66, 41, -92, -38, 54, 72, 78, 80]
  Compare 41 and -92
  Swap 41 and -92
  List after swap: [-18, 40, -66, -92, 41, -38, 54, 72, 78, 80]
  Compare 41 and -38
  Swap 41 and -38
  List after swap: [-18, 40, -66, -92, -38, 41, 54, 72, 78, 80]

Pass 6:
  Compare -18 and 40
  No swap needed
  Compare 40 and -66
  Swap 40 and -66
  List after swap: [-18, -66, 40, -92, -38, 41, 54, 72, 78, 80]
  Compare 40 and -92
  Swap 40 and -92
  List after swap: [-18, -66, -92, 40, -38, 41, 54, 72, 78, 80]
  Compare 40 and -38
  Swap 40 and -38
  List after swap: [-18, -66, -92, -38, 40, 41, 54, 72, 78, 80]

Pass 7:
  Compare -18 and -66
  Swap -18 and -66
  List after swap: [-66, -18, -92, -38, 40, 41, 54, 72, 78, 80]
  Compare -18 and -92
  Swap -18 and -92
  List after swap: [-66, -92, -18, -38, 40, 41, 54, 72, 78, 80]
  Compare -18 and -38
  Swap -18 and -38
  List after swap: [-66, -92, -38, -18, 40, 41, 54, 72, 78, 80]

Pass 8:
  Compare -66 and -92
  Swap -66 and -92
  List after swap: [-92, -66, -38, -18, 40, 41, 54, 72, 78, 80]
  Compare -66 and -38
  No swap needed

Pass 9:
  Compare -92 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -66, -38, -18, 40, 41, 54, 72, 78, 80]
</think>

<response>-92, -66, -38, -18, 40, 41, 54, 72, 78, 80</response>


input: Using the bubble sort method, sort -42, -3, 51 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-42, -3, 51]

Pass 1:
  Compare -42 and -3
  No swap needed
  Compare -3 and 51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-42, -3, 51]
</think>

<response>-42, -3, 51</response>


input: Carry out the bubble sort algorithm on 92, -89 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [92, -89]

Pass 1:
  Compare 92 and -89
  Swap 92 and -89
  List after swap: [-89, 92]

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

Final sorted list: [-89, 92]
</think>

<response>-89, 92</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -62, 12, 21, 17.

output:
<think>
Initial list: [-62, 12, 21, 17]

Pass 1:
  Compare -62 and 12
  No swap needed
  Compare 12 and 21
  No swap needed
  Compare 21 and 17
  Swap 21 and 17
  List after swap: [-62, 12, 17, 21]

Pass 2:
  Compare -62 and 12
  No swap needed
  Compare 12 and 17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, 12, 17, 21]
</think>

<response>-62, 12, 17, 21</response>


input: Arrange the numbers 3, -87, 32 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [3, -87, 32]

Pass 1:
  Compare 3 and -87
  Swap 3 and -87
  List after swap: [-87, 3, 32]
  Compare 3 and 32
  No swap needed

Pass 2:
  Compare -87 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, 3, 32]
</think>

<response>-87, 3, 32</response>


input: Carry out the bubble sort algorithm on -25, -16, 64, 69 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-25, -16, 64, 69]

Pass 1:
  Compare -25 and -16
  No swap needed
  Compare -16 and 64
  No swap needed
  Compare 64 and 69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-25, -16, 64, 69]
</think>

<response>-25, -16, 64, 69</response>


input: Arrange the numbers 32, -91 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [32, -91]

Pass 1:
  Compare 32 and -91
  Swap 32 and -91
  List after swap: [-91, 32]

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

Final sorted list: [-91, 32]
</think>

<response>-91, 32</response>


input: Implement bubble sort on -69, 37, 77, -23, -19, -63, 28, 16 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-69, 37, 77, -23, -19, -63, 28, 16]

Pass 1:
  Compare -69 and 37
  No swap needed
  Compare 37 and 77
  No swap needed
  Compare 77 and -23
  Swap 77 and -23
  List after swap: [-69, 37, -23, 77, -19, -63, 28, 16]
  Compare 77 and -19
  Swap 77 and -19
  List after swap: [-69, 37, -23, -19, 77, -63, 28, 16]
  Compare 77 and -63
  Swap 77 and -63
  List after swap: [-69, 37, -23, -19, -63, 77, 28, 16]
  Compare 77 and 28
  Swap 77 and 28
  List after swap: [-69, 37, -23, -19, -63, 28, 77, 16]
  Compare 77 and 16
  Swap 77 and 16
  List after swap: [-69, 37, -23, -19, -63, 28, 16, 77]

Pass 2:
  Compare -69 and 37
  No swap needed
  Compare 37 and -23
  Swap 37 and -23
  List after swap: [-69, -23, 37, -19, -63, 28, 16, 77]
  Compare 37 and -19
  Swap 37 and -19
  List after swap: [-69, -23, -19, 37, -63, 28, 16, 77]
  Compare 37 and -63
  Swap 37 and -63
  List after swap: [-69, -23, -19, -63, 37, 28, 16, 77]
  Compare 37 and 28
  Swap 37 and 28
  List after swap: [-69, -23, -19, -63, 28, 37, 16, 77]
  Compare 37 and 16
  Swap 37 and 16
  List after swap: [-69, -23, -19, -63, 28, 16, 37, 77]

Pass 3:
  Compare -69 and -23
  No swap needed
  Compare -23 and -19
  No swap needed
  Compare -19 and -63
  Swap -19 and -63
  List after swap: [-69, -23, -63, -19, 28, 16, 37, 77]
  Compare -19 and 28
  No swap needed
  Compare 28 and 16
  Swap 28 and 16
  List after swap: [-69, -23, -63, -19, 16, 28, 37, 77]

Pass 4:
  Compare -69 and -23
  No swap needed
  Compare -23 and -63
  Swap -23 and -63
  List after swap: [-69, -63, -23, -19, 16, 28, 37, 77]
  Compare -23 and -19
  No swap needed
  Compare -19 and 16
  No swap needed

Pass 5:
  Compare -69 and -63
  No swap needed
  Compare -63 and -23
  No swap needed
  Compare -23 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -63, -23, -19, 16, 28, 37, 77]
</think>

<response>-69, -63, -23, -19, 16, 28, 37, 77</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 0, 62.

output:
<think>
Initial list: [0, 62]

Pass 1:
  Compare 0 and 62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [0, 62]
</think>

<response>0, 62</response>


input: Sort these integers 57, 46, 77, -2, 51, 31, -9, 79, -5, -60 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [57, 46, 77, -2, 51, 31, -9, 79, -5, -60]

Pass 1:
  Compare 57 and 46
  Swap 57 and 46
  List after swap: [46, 57, 77, -2, 51, 31, -9, 79, -5, -60]
  Compare 57 and 77
  No swap needed
  Compare 77 and -2
  Swap 77 and -2
  List after swap: [46, 57, -2, 77, 51, 31, -9, 79, -5, -60]
  Compare 77 and 51
  Swap 77 and 51
  List after swap: [46, 57, -2, 51, 77, 31, -9, 79, -5, -60]
  Compare 77 and 31
  Swap 77 and 31
  List after swap: [46, 57, -2, 51, 31, 77, -9, 79, -5, -60]
  Compare 77 and -9
  Swap 77 and -9
  List after swap: [46, 57, -2, 51, 31, -9, 77, 79, -5, -60]
  Compare 77 and 79
  No swap needed
  Compare 79 and -5
  Swap 79 and -5
  List after swap: [46, 57, -2, 51, 31, -9, 77, -5, 79, -60]
  Compare 79 and -60
  Swap 79 and -60
  List after swap: [46, 57, -2, 51, 31, -9, 77, -5, -60, 79]

Pass 2:
  Compare 46 and 57
  No swap needed
  Compare 57 and -2
  Swap 57 and -2
  List after swap: [46, -2, 57, 51, 31, -9, 77, -5, -60, 79]
  Compare 57 and 51
  Swap 57 and 51
  List after swap: [46, -2, 51, 57, 31, -9, 77, -5, -60, 79]
  Compare 57 and 31
  Swap 57 and 31
  List after swap: [46, -2, 51, 31, 57, -9, 77, -5, -60, 79]
  Compare 57 and -9
  Swap 57 and -9
  List after swap: [46, -2, 51, 31, -9, 57, 77, -5, -60, 79]
  Compare 57 and 77
  No swap needed
  Compare 77 and -5
  Swap 77 and -5
  List after swap: [46, -2, 51, 31, -9, 57, -5, 77, -60, 79]
  Compare 77 and -60
  Swap 77 and -60
  List after swap: [46, -2, 51, 31, -9, 57, -5, -60, 77, 79]

Pass 3:
  Compare 46 and -2
  Swap 46 and -2
  List after swap: [-2, 46, 51, 31, -9, 57, -5, -60, 77, 79]
  Compare 46 and 51
  No swap needed
  Compare 51 and 31
  Swap 51 and 31
  List after swap: [-2, 46, 31, 51, -9, 57, -5, -60, 77, 79]
  Compare 51 and -9
  Swap 51 and -9
  List after swap: [-2, 46, 31, -9, 51, 57, -5, -60, 77, 79]
  Compare 51 and 57
  No swap needed
  Compare 57 and -5
  Swap 57 and -5
  List after swap: [-2, 46, 31, -9, 51, -5, 57, -60, 77, 79]
  Compare 57 and -60
  Swap 57 and -60
  List after swap: [-2, 46, 31, -9, 51, -5, -60, 57, 77, 79]

Pass 4:
  Compare -2 and 46
  No swap needed
  Compare 46 and 31
  Swap 46 and 31
  List after swap: [-2, 31, 46, -9, 51, -5, -60, 57, 77, 79]
  Compare 46 and -9
  Swap 46 and -9
  List after swap: [-2, 31, -9, 46, 51, -5, -60, 57, 77, 79]
  Compare 46 and 51
  No swap needed
  Compare 51 and -5
  Swap 51 and -5
  List after swap: [-2, 31, -9, 46, -5, 51, -60, 57, 77, 79]
  Compare 51 and -60
  Swap 51 and -60
  List after swap: [-2, 31, -9, 46, -5, -60, 51, 57, 77, 79]

Pass 5:
  Compare -2 and 31
  No swap needed
  Compare 31 and -9
  Swap 31 and -9
  List after swap: [-2, -9, 31, 46, -5, -60, 51, 57, 77, 79]
  Compare 31 and 46
  No swap needed
  Compare 46 and -5
  Swap 46 and -5
  List after swap: [-2, -9, 31, -5, 46, -60, 51, 57, 77, 79]
  Compare 46 and -60
  Swap 46 and -60
  List after swap: [-2, -9, 31, -5, -60, 46, 51, 57, 77, 79]

Pass 6:
  Compare -2 and -9
  Swap -2 and -9
  List after swap: [-9, -2, 31, -5, -60, 46, 51, 57, 77, 79]
  Compare -2 and 31
  No swap needed
  Compare 31 and -5
  Swap 31 and -5
  List after swap: [-9, -2, -5, 31, -60, 46, 51, 57, 77, 79]
  Compare 31 and -60
  Swap 31 and -60
  List after swap: [-9, -2, -5, -60, 31, 46, 51, 57, 77, 79]

Pass 7:
  Compare -9 and -2
  No swap needed
  Compare -2 and -5
  Swap -2 and -5
  List after swap: [-9, -5, -2, -60, 31, 46, 51, 57, 77, 79]
  Compare -2 and -60
  Swap -2 and -60
  List after swap: [-9, -5, -60, -2, 31, 46, 51, 57, 77, 79]

Pass 8:
  Compare -9 and -5
  No swap needed
  Compare -5 and -60
  Swap -5 and -60
  List after swap: [-9, -60, -5, -2, 31, 46, 51, 57, 77, 79]

Pass 9:
  Compare -9 and -60
  Swap -9 and -60
  List after swap: [-60, -9, -5, -2, 31, 46, 51, 57, 77, 79]

Pass 10:
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -9, -5, -2, 31, 46, 51, 57, 77, 79]
</think>

<response>-60, -9, -5, -2, 31, 46, 51, 57, 77, 79</response>


input: Sort the list 0, 3, -58, 95, -72, -11, -7, 38, -51 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [0, 3, -58, 95, -72, -11, -7, 38, -51]

Pass 1:
  Compare 0 and 3
  No swap needed
  Compare 3 and -58
  Swap 3 and -58
  List after swap: [0, -58, 3, 95, -72, -11, -7, 38, -51]
  Compare 3 and 95
  No swap needed
  Compare 95 and -72
  Swap 95 and -72
  List after swap: [0, -58, 3, -72, 95, -11, -7, 38, -51]
  Compare 95 and -11
  Swap 95 and -11
  List after swap: [0, -58, 3, -72, -11, 95, -7, 38, -51]
  Compare 95 and -7
  Swap 95 and -7
  List after swap: [0, -58, 3, -72, -11, -7, 95, 38, -51]
  Compare 95 and 38
  Swap 95 and 38
  List after swap: [0, -58, 3, -72, -11, -7, 38, 95, -51]
  Compare 95 and -51
  Swap 95 and -51
  List after swap: [0, -58, 3, -72, -11, -7, 38, -51, 95]

Pass 2:
  Compare 0 and -58
  Swap 0 and -58
  List after swap: [-58, 0, 3, -72, -11, -7, 38, -51, 95]
  Compare 0 and 3
  No swap needed
  Compare 3 and -72
  Swap 3 and -72
  List after swap: [-58, 0, -72, 3, -11, -7, 38, -51, 95]
  Compare 3 and -11
  Swap 3 and -11
  List after swap: [-58, 0, -72, -11, 3, -7, 38, -51, 95]
  Compare 3 and -7
  Swap 3 and -7
  List after swap: [-58, 0, -72, -11, -7, 3, 38, -51, 95]
  Compare 3 and 38
  No swap needed
  Compare 38 and -51
  Swap 38 and -51
  List after swap: [-58, 0, -72, -11, -7, 3, -51, 38, 95]

Pass 3:
  Compare -58 and 0
  No swap needed
  Compare 0 and -72
  Swap 0 and -72
  List after swap: [-58, -72, 0, -11, -7, 3, -51, 38, 95]
  Compare 0 and -11
  Swap 0 and -11
  List after swap: [-58, -72, -11, 0, -7, 3, -51, 38, 95]
  Compare 0 and -7
  Swap 0 and -7
  List after swap: [-58, -72, -11, -7, 0, 3, -51, 38, 95]
  Compare 0 and 3
  No swap needed
  Compare 3 and -51
  Swap 3 and -51
  List after swap: [-58, -72, -11, -7, 0, -51, 3, 38, 95]

Pass 4:
  Compare -58 and -72
  Swap -58 and -72
  List after swap: [-72, -58, -11, -7, 0, -51, 3, 38, 95]
  Compare -58 and -11
  No swap needed
  Compare -11 and -7
  No swap needed
  Compare -7 and 0
  No swap needed
  Compare 0 and -51
  Swap 0 and -51
  List after swap: [-72, -58, -11, -7, -51, 0, 3, 38, 95]

Pass 5:
  Compare -72 and -58
  No swap needed
  Compare -58 and -11
  No swap needed
  Compare -11 and -7
  No swap needed
  Compare -7 and -51
  Swap -7 and -51
  List after swap: [-72, -58, -11, -51, -7, 0, 3, 38, 95]

Pass 6:
  Compare -72 and -58
  No swap needed
  Compare -58 and -11
  No swap needed
  Compare -11 and -51
  Swap -11 and -51
  List after swap: [-72, -58, -51, -11, -7, 0, 3, 38, 95]

Pass 7:
  Compare -72 and -58
  No swap needed
  Compare -58 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -58, -51, -11, -7, 0, 3, 38, 95]
</think>

<response>-72, -58, -51, -11, -7, 0, 3, 38, 95</response>


input: Demonstrate how bubble sort orders the integers 76, 59 in ascending sequence, showing all steps.

output:
<think>
Initial list: [76, 59]

Pass 1:
  Compare 76 and 59
  Swap 76 and 59
  List after swap: [59, 76]

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

Final sorted list: [59, 76]
</think>

<response>59, 76</response>


input: Sort the list 49, 45, -74, 87, 43, -85, 56, -94 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [49, 45, -74, 87, 43, -85, 56, -94]

Pass 1:
  Compare 49 and 45
  Swap 49 and 45
  List after swap: [45, 49, -74, 87, 43, -85, 56, -94]
  Compare 49 and -74
  Swap 49 and -74
  List after swap: [45, -74, 49, 87, 43, -85, 56, -94]
  Compare 49 and 87
  No swap needed
  Compare 87 and 43
  Swap 87 and 43
  List after swap: [45, -74, 49, 43, 87, -85, 56, -94]
  Compare 87 and -85
  Swap 87 and -85
  List after swap: [45, -74, 49, 43, -85, 87, 56, -94]
  Compare 87 and 56
  Swap 87 and 56
  List after swap: [45, -74, 49, 43, -85, 56, 87, -94]
  Compare 87 and -94
  Swap 87 and -94
  List after swap: [45, -74, 49, 43, -85, 56, -94, 87]

Pass 2:
  Compare 45 and -74
  Swap 45 and -74
  List after swap: [-74, 45, 49, 43, -85, 56, -94, 87]
  Compare 45 and 49
  No swap needed
  Compare 49 and 43
  Swap 49 and 43
  List after swap: [-74, 45, 43, 49, -85, 56, -94, 87]
  Compare 49 and -85
  Swap 49 and -85
  List after swap: [-74, 45, 43, -85, 49, 56, -94, 87]
  Compare 49 and 56
  No swap needed
  Compare 56 and -94
  Swap 56 and -94
  List after swap: [-74, 45, 43, -85, 49, -94, 56, 87]

Pass 3:
  Compare -74 and 45
  No swap needed
  Compare 45 and 43
  Swap 45 and 43
  List after swap: [-74, 43, 45, -85, 49, -94, 56, 87]
  Compare 45 and -85
  Swap 45 and -85
  List after swap: [-74, 43, -85, 45, 49, -94, 56, 87]
  Compare 45 and 49
  No swap needed
  Compare 49 and -94
  Swap 49 and -94
  List after swap: [-74, 43, -85, 45, -94, 49, 56, 87]

Pass 4:
  Compare -74 and 43
  No swap needed
  Compare 43 and -85
  Swap 43 and -85
  List after swap: [-74, -85, 43, 45, -94, 49, 56, 87]
  Compare 43 and 45
  No swap needed
  Compare 45 and -94
  Swap 45 and -94
  List after swap: [-74, -85, 43, -94, 45, 49, 56, 87]

Pass 5:
  Compare -74 and -85
  Swap -74 and -85
  List after swap: [-85, -74, 43, -94, 45, 49, 56, 87]
  Compare -74 and 43
  No swap needed
  Compare 43 and -94
  Swap 43 and -94
  List after swap: [-85, -74, -94, 43, 45, 49, 56, 87]

Pass 6:
  Compare -85 and -74
  No swap needed
  Compare -74 and -94
  Swap -74 and -94
  List after swap: [-85, -94, -74, 43, 45, 49, 56, 87]

Pass 7:
  Compare -85 and -94
  Swap -85 and -94
  List after swap: [-94, -85, -74, 43, 45, 49, 56, 87]

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

Final sorted list: [-94, -85, -74, 43, 45, 49, 56, 87]
</think>

<response>-94, -85, -74, 43, 45, 49, 56, 87</response>


input: Sort the list 75, 50, -35, -22, -58, 28, -40, -80 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [75, 50, -35, -22, -58, 28, -40, -80]

Pass 1:
  Compare 75 and 50
  Swap 75 and 50
  List after swap: [50, 75, -35, -22, -58, 28, -40, -80]
  Compare 75 and -35
  Swap 75 and -35
  List after swap: [50, -35, 75, -22, -58, 28, -40, -80]
  Compare 75 and -22
  Swap 75 and -22
  List after swap: [50, -35, -22, 75, -58, 28, -40, -80]
  Compare 75 and -58
  Swap 75 and -58
  List after swap: [50, -35, -22, -58, 75, 28, -40, -80]
  Compare 75 and 28
  Swap 75 and 28
  List after swap: [50, -35, -22, -58, 28, 75, -40, -80]
  Compare 75 and -40
  Swap 75 and -40
  List after swap: [50, -35, -22, -58, 28, -40, 75, -80]
  Compare 75 and -80
  Swap 75 and -80
  List after swap: [50, -35, -22, -58, 28, -40, -80, 75]

Pass 2:
  Compare 50 and -35
  Swap 50 and -35
  List after swap: [-35, 50, -22, -58, 28, -40, -80, 75]
  Compare 50 and -22
  Swap 50 and -22
  List after swap: [-35, -22, 50, -58, 28, -40, -80, 75]
  Compare 50 and -58
  Swap 50 and -58
  List after swap: [-35, -22, -58, 50, 28, -40, -80, 75]
  Compare 50 and 28
  Swap 50 and 28
  List after swap: [-35, -22, -58, 28, 50, -40, -80, 75]
  Compare 50 and -40
  Swap 50 and -40
  List after swap: [-35, -22, -58, 28, -40, 50, -80, 75]
  Compare 50 and -80
  Swap 50 and -80
  List after swap: [-35, -22, -58, 28, -40, -80, 50, 75]

Pass 3:
  Compare -35 and -22
  No swap needed
  Compare -22 and -58
  Swap -22 and -58
  List after swap: [-35, -58, -22, 28, -40, -80, 50, 75]
  Compare -22 and 28
  No swap needed
  Compare 28 and -40
  Swap 28 and -40
  List after swap: [-35, -58, -22, -40, 28, -80, 50, 75]
  Compare 28 and -80
  Swap 28 and -80
  List after swap: [-35, -58, -22, -40, -80, 28, 50, 75]

Pass 4:
  Compare -35 and -58
  Swap -35 and -58
  List after swap: [-58, -35, -22, -40, -80, 28, 50, 75]
  Compare -35 and -22
  No swap needed
  Compare -22 and -40
  Swap -22 and -40
  List after swap: [-58, -35, -40, -22, -80, 28, 50, 75]
  Compare -22 and -80
  Swap -22 and -80
  List after swap: [-58, -35, -40, -80, -22, 28, 50, 75]

Pass 5:
  Compare -58 and -35
  No swap needed
  Compare -35 and -40
  Swap -35 and -40
  List after swap: [-58, -40, -35, -80, -22, 28, 50, 75]
  Compare -35 and -80
  Swap -35 and -80
  List after swap: [-58, -40, -80, -35, -22, 28, 50, 75]

Pass 6:
  Compare -58 and -40
  No swap needed
  Compare -40 and -80
  Swap -40 and -80
  List after swap: [-58, -80, -40, -35, -22, 28, 50, 75]

Pass 7:
  Compare -58 and -80
  Swap -58 and -80
  List after swap: [-80, -58, -40, -35, -22, 28, 50, 75]

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

Final sorted list: [-80, -58, -40, -35, -22, 28, 50, 75]
</think>

<response>-80, -58, -40, -35, -22, 28, 50, 75</response>


input: Execute bubble sort to sort 81, 3, 10, 5, -91, 31, -33, 76 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [81, 3, 10, 5, -91, 31, -33, 76]

Pass 1:
  Compare 81 and 3
  Swap 81 and 3
  List after swap: [3, 81, 10, 5, -91, 31, -33, 76]
  Compare 81 and 10
  Swap 81 and 10
  List after swap: [3, 10, 81, 5, -91, 31, -33, 76]
  Compare 81 and 5
  Swap 81 and 5
  List after swap: [3, 10, 5, 81, -91, 31, -33, 76]
  Compare 81 and -91
  Swap 81 and -91
  List after swap: [3, 10, 5, -91, 81, 31, -33, 76]
  Compare 81 and 31
  Swap 81 and 31
  List after swap: [3, 10, 5, -91, 31, 81, -33, 76]
  Compare 81 and -33
  Swap 81 and -33
  List after swap: [3, 10, 5, -91, 31, -33, 81, 76]
  Compare 81 and 76
  Swap 81 and 76
  List after swap: [3, 10, 5, -91, 31, -33, 76, 81]

Pass 2:
  Compare 3 and 10
  No swap needed
  Compare 10 and 5
  Swap 10 and 5
  List after swap: [3, 5, 10, -91, 31, -33, 76, 81]
  Compare 10 and -91
  Swap 10 and -91
  List after swap: [3, 5, -91, 10, 31, -33, 76, 81]
  Compare 10 and 31
  No swap needed
  Compare 31 and -33
  Swap 31 and -33
  List after swap: [3, 5, -91, 10, -33, 31, 76, 81]
  Compare 31 and 76
  No swap needed

Pass 3:
  Compare 3 and 5
  No swap needed
  Compare 5 and -91
  Swap 5 and -91
  List after swap: [3, -91, 5, 10, -33, 31, 76, 81]
  Compare 5 and 10
  No swap needed
  Compare 10 and -33
  Swap 10 and -33
  List after swap: [3, -91, 5, -33, 10, 31, 76, 81]
  Compare 10 and 31
  No swap needed

Pass 4:
  Compare 3 and -91
  Swap 3 and -91
  List after swap: [-91, 3, 5, -33, 10, 31, 76, 81]
  Compare 3 and 5
  No swap needed
  Compare 5 and -33
  Swap 5 and -33
  List after swap: [-91, 3, -33, 5, 10, 31, 76, 81]
  Compare 5 and 10
  No swap needed

Pass 5:
  Compare -91 and 3
  No swap needed
  Compare 3 and -33
  Swap 3 and -33
  List after swap: [-91, -33, 3, 5, 10, 31, 76, 81]
  Compare 3 and 5
  No swap needed

Pass 6:
  Compare -91 and -33
  No swap needed
  Compare -33 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -33, 3, 5, 10, 31, 76, 81]
</think>

<response>-91, -33, 3, 5, 10, 31, 76, 81</response>


input: Sort these integers -18, -8 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-18, -8]

Pass 1:
  Compare -18 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-18, -8]
</think>

<response>-18, -8</response>


input: Perform a bubble sort on the integers 25, 69, -30, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [25, 69, -30]

Pass 1:
  Compare 25 and 69
  No swap needed
  Compare 69 and -30
  Swap 69 and -30
  List after swap: [25, -30, 69]

Pass 2:
  Compare 25 and -30
  Swap 25 and -30
  List after swap: [-30, 25, 69]

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

Final sorted list: [-30, 25, 69]
</think>

<response>-30, 25, 69</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 24, 20, 69, -13, 75.

output:
<think>
Initial list: [24, 20, 69, -13, 75]

Pass 1:
  Compare 24 and 20
  Swap 24 and 20
  List after swap: [20, 24, 69, -13, 75]
  Compare 24 and 69
  No swap needed
  Compare 69 and -13
  Swap 69 and -13
  List after swap: [20, 24, -13, 69, 75]
  Compare 69 and 75
  No swap needed

Pass 2:
  Compare 20 and 24
  No swap needed
  Compare 24 and -13
  Swap 24 and -13
  List after swap: [20, -13, 24, 69, 75]
  Compare 24 and 69
  No swap needed

Pass 3:
  Compare 20 and -13
  Swap 20 and -13
  List after swap: [-13, 20, 24, 69, 75]
  Compare 20 and 24
  No swap needed

Pass 4:
  Compare -13 and 20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-13, 20, 24, 69, 75]
</think>

<response>-13, 20, 24, 69, 75</response>


input: Carry out the bubble sort algorithm on 83, -87, -41, -83, 10 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [83, -87, -41, -83, 10]

Pass 1:
  Compare 83 and -87
  Swap 83 and -87
  List after swap: [-87, 83, -41, -83, 10]
  Compare 83 and -41
  Swap 83 and -41
  List after swap: [-87, -41, 83, -83, 10]
  Compare 83 and -83
  Swap 83 and -83
  List after swap: [-87, -41, -83, 83, 10]
  Compare 83 and 10
  Swap 83 and 10
  List after swap: [-87, -41, -83, 10, 83]

Pass 2:
  Compare -87 and -41
  No swap needed
  Compare -41 and -83
  Swap -41 and -83
  List after swap: [-87, -83, -41, 10, 83]
  Compare -41 and 10
  No swap needed

Pass 3:
  Compare -87 and -83
  No swap needed
  Compare -83 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -83, -41, 10, 83]
</think>

<response>-87, -83, -41, 10, 83</response>


input: Perform a bubble sort on the integers -37, -66, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-37, -66]

Pass 1:
  Compare -37 and -66
  Swap -37 and -66
  List after swap: [-66, -37]

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

Final sorted list: [-66, -37]
</think>

<response>-66, -37</response>


input: Perform a bubble sort on the integers 20, 4, -86, 67, 54, -8, 64, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [20, 4, -86, 67, 54, -8, 64]

Pass 1:
  Compare 20 and 4
  Swap 20 and 4
  List after swap: [4, 20, -86, 67, 54, -8, 64]
  Compare 20 and -86
  Swap 20 and -86
  List after swap: [4, -86, 20, 67, 54, -8, 64]
  Compare 20 and 67
  No swap needed
  Compare 67 and 54
  Swap 67 and 54
  List after swap: [4, -86, 20, 54, 67, -8, 64]
  Compare 67 and -8
  Swap 67 and -8
  List after swap: [4, -86, 20, 54, -8, 67, 64]
  Compare 67 and 64
  Swap 67 and 64
  List after swap: [4, -86, 20, 54, -8, 64, 67]

Pass 2:
  Compare 4 and -86
  Swap 4 and -86
  List after swap: [-86, 4, 20, 54, -8, 64, 67]
  Compare 4 and 20
  No swap needed
  Compare 20 and 54
  No swap needed
  Compare 54 and -8
  Swap 54 and -8
  List after swap: [-86, 4, 20, -8, 54, 64, 67]
  Compare 54 and 64
  No swap needed

Pass 3:
  Compare -86 and 4
  No swap needed
  Compare 4 and 20
  No swap needed
  Compare 20 and -8
  Swap 20 and -8
  List after swap: [-86, 4, -8, 20, 54, 64, 67]
  Compare 20 and 54
  No swap needed

Pass 4:
  Compare -86 and 4
  No swap needed
  Compare 4 and -8
  Swap 4 and -8
  List after swap: [-86, -8, 4, 20, 54, 64, 67]
  Compare 4 and 20
  No swap needed

Pass 5:
  Compare -86 and -8
  No swap needed
  Compare -8 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -8, 4, 20, 54, 64, 67]
</think>

<response>-86, -8, 4, 20, 54, 64, 67</response>


input: Arrange the numbers -56, 24, 84, 82, -90 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-56, 24, 84, 82, -90]

Pass 1:
  Compare -56 and 24
  No swap needed
  Compare 24 and 84
  No swap needed
  Compare 84 and 82
  Swap 84 and 82
  List after swap: [-56, 24, 82, 84, -90]
  Compare 84 and -90
  Swap 84 and -90
  List after swap: [-56, 24, 82, -90, 84]

Pass 2:
  Compare -56 and 24
  No swap needed
  Compare 24 and 82
  No swap needed
  Compare 82 and -90
  Swap 82 and -90
  List after swap: [-56, 24, -90, 82, 84]

Pass 3:
  Compare -56 and 24
  No swap needed
  Compare 24 and -90
  Swap 24 and -90
  List after swap: [-56, -90, 24, 82, 84]

Pass 4:
  Compare -56 and -90
  Swap -56 and -90
  List after swap: [-90, -56, 24, 82, 84]

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

Final sorted list: [-90, -56, 24, 82, 84]
</think>

<response>-90, -56, 24, 82, 84</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 2, 77, -66, 26, 22, -32.

output:
<think>
Initial list: [2, 77, -66, 26, 22, -32]

Pass 1:
  Compare 2 and 77
  No swap needed
  Compare 77 and -66
  Swap 77 and -66
  List after swap: [2, -66, 77, 26, 22, -32]
  Compare 77 and 26
  Swap 77 and 26
  List after swap: [2, -66, 26, 77, 22, -32]
  Compare 77 and 22
  Swap 77 and 22
  List after swap: [2, -66, 26, 22, 77, -32]
  Compare 77 and -32
  Swap 77 and -32
  List after swap: [2, -66, 26, 22, -32, 77]

Pass 2:
  Compare 2 and -66
  Swap 2 and -66
  List after swap: [-66, 2, 26, 22, -32, 77]
  Compare 2 and 26
  No swap needed
  Compare 26 and 22
  Swap 26 and 22
  List after swap: [-66, 2, 22, 26, -32, 77]
  Compare 26 and -32
  Swap 26 and -32
  List after swap: [-66, 2, 22, -32, 26, 77]

Pass 3:
  Compare -66 and 2
  No swap needed
  Compare 2 and 22
  No swap needed
  Compare 22 and -32
  Swap 22 and -32
  List after swap: [-66, 2, -32, 22, 26, 77]

Pass 4:
  Compare -66 and 2
  No swap needed
  Compare 2 and -32
  Swap 2 and -32
  List after swap: [-66, -32, 2, 22, 26, 77]

Pass 5:
  Compare -66 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -32, 2, 22, 26, 77]
</think>

<response>-66, -32, 2, 22, 26, 77</response>


input: Sort these integers -59, 36, 7 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-59, 36, 7]

Pass 1:
  Compare -59 and 36
  No swap needed
  Compare 36 and 7
  Swap 36 and 7
  List after swap: [-59, 7, 36]

Pass 2:
  Compare -59 and 7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, 7, 36]
</think>

<response>-59, 7, 36</response>


input: Execute bubble sort to sort 43, 39, 69, -40, -45, 96, -53, -21 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [43, 39, 69, -40, -45, 96, -53, -21]

Pass 1:
  Compare 43 and 39
  Swap 43 and 39
  List after swap: [39, 43, 69, -40, -45, 96, -53, -21]
  Compare 43 and 69
  No swap needed
  Compare 69 and -40
  Swap 69 and -40
  List after swap: [39, 43, -40, 69, -45, 96, -53, -21]
  Compare 69 and -45
  Swap 69 and -45
  List after swap: [39, 43, -40, -45, 69, 96, -53, -21]
  Compare 69 and 96
  No swap needed
  Compare 96 and -53
  Swap 96 and -53
  List after swap: [39, 43, -40, -45, 69, -53, 96, -21]
  Compare 96 and -21
  Swap 96 and -21
  List after swap: [39, 43, -40, -45, 69, -53, -21, 96]

Pass 2:
  Compare 39 and 43
  No swap needed
  Compare 43 and -40
  Swap 43 and -40
  List after swap: [39, -40, 43, -45, 69, -53, -21, 96]
  Compare 43 and -45
  Swap 43 and -45
  List after swap: [39, -40, -45, 43, 69, -53, -21, 96]
  Compare 43 and 69
  No swap needed
  Compare 69 and -53
  Swap 69 and -53
  List after swap: [39, -40, -45, 43, -53, 69, -21, 96]
  Compare 69 and -21
  Swap 69 and -21
  List after swap: [39, -40, -45, 43, -53, -21, 69, 96]

Pass 3:
  Compare 39 and -40
  Swap 39 and -40
  List after swap: [-40, 39, -45, 43, -53, -21, 69, 96]
  Compare 39 and -45
  Swap 39 and -45
  List after swap: [-40, -45, 39, 43, -53, -21, 69, 96]
  Compare 39 and 43
  No swap needed
  Compare 43 and -53
  Swap 43 and -53
  List after swap: [-40, -45, 39, -53, 43, -21, 69, 96]
  Compare 43 and -21
  Swap 43 and -21
  List after swap: [-40, -45, 39, -53, -21, 43, 69, 96]

Pass 4:
  Compare -40 and -45
  Swap -40 and -45
  List after swap: [-45, -40, 39, -53, -21, 43, 69, 96]
  Compare -40 and 39
  No swap needed
  Compare 39 and -53
  Swap 39 and -53
  List after swap: [-45, -40, -53, 39, -21, 43, 69, 96]
  Compare 39 and -21
  Swap 39 and -21
  List after swap: [-45, -40, -53, -21, 39, 43, 69, 96]

Pass 5:
  Compare -45 and -40
  No swap needed
  Compare -40 and -53
  Swap -40 and -53
  List after swap: [-45, -53, -40, -21, 39, 43, 69, 96]
  Compare -40 and -21
  No swap needed

Pass 6:
  Compare -45 and -53
  Swap -45 and -53
  List after swap: [-53, -45, -40, -21, 39, 43, 69, 96]
  Compare -45 and -40
  No swap needed

Pass 7:
  Compare -53 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-53, -45, -40, -21, 39, 43, 69, 96]
</think>

<response>-53, -45, -40, -21, 39, 43, 69, 96</response>


input: Implement bubble sort on 60, 91 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [60, 91]

Pass 1:
  Compare 60 and 91
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [60, 91]
</think>

<response>60, 91</response>


input: Implement bubble sort on 16, 97, -1, -61, 31, 36, -19 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [16, 97, -1, -61, 31, 36, -19]

Pass 1:
  Compare 16 and 97
  No swap needed
  Compare 97 and -1
  Swap 97 and -1
  List after swap: [16, -1, 97, -61, 31, 36, -19]
  Compare 97 and -61
  Swap 97 and -61
  List after swap: [16, -1, -61, 97, 31, 36, -19]
  Compare 97 and 31
  Swap 97 and 31
  List after swap: [16, -1, -61, 31, 97, 36, -19]
  Compare 97 and 36
  Swap 97 and 36
  List after swap: [16, -1, -61, 31, 36, 97, -19]
  Compare 97 and -19
  Swap 97 and -19
  List after swap: [16, -1, -61, 31, 36, -19, 97]

Pass 2:
  Compare 16 and -1
  Swap 16 and -1
  List after swap: [-1, 16, -61, 31, 36, -19, 97]
  Compare 16 and -61
  Swap 16 and -61
  List after swap: [-1, -61, 16, 31, 36, -19, 97]
  Compare 16 and 31
  No swap needed
  Compare 31 and 36
  No swap needed
  Compare 36 and -19
  Swap 36 and -19
  List after swap: [-1, -61, 16, 31, -19, 36, 97]

Pass 3:
  Compare -1 and -61
  Swap -1 and -61
  List after swap: [-61, -1, 16, 31, -19, 36, 97]
  Compare -1 and 16
  No swap needed
  Compare 16 and 31
  No swap needed
  Compare 31 and -19
  Swap 31 and -19
  List after swap: [-61, -1, 16, -19, 31, 36, 97]

Pass 4:
  Compare -61 and -1
  No swap needed
  Compare -1 and 16
  No swap needed
  Compare 16 and -19
  Swap 16 and -19
  List after swap: [-61, -1, -19, 16, 31, 36, 97]

Pass 5:
  Compare -61 and -1
  No swap needed
  Compare -1 and -19
  Swap -1 and -19
  List after swap: [-61, -19, -1, 16, 31, 36, 97]

Pass 6:
  Compare -61 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -19, -1, 16, 31, 36, 97]
</think>

<response>-61, -19, -1, 16, 31, 36, 97</response>


input: Sort these integers 71, -73, 62, -26, -54 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [71, -73, 62, -26, -54]

Pass 1:
  Compare 71 and -73
  Swap 71 and -73
  List after swap: [-73, 71, 62, -26, -54]
  Compare 71 and 62
  Swap 71 and 62
  List after swap: [-73, 62, 71, -26, -54]
  Compare 71 and -26
  Swap 71 and -26
  List after swap: [-73, 62, -26, 71, -54]
  Compare 71 and -54
  Swap 71 and -54
  List after swap: [-73, 62, -26, -54, 71]

Pass 2:
  Compare -73 and 62
  No swap needed
  Compare 62 and -26
  Swap 62 and -26
  List after swap: [-73, -26, 62, -54, 71]
  Compare 62 and -54
  Swap 62 and -54
  List after swap: [-73, -26, -54, 62, 71]

Pass 3:
  Compare -73 and -26
  No swap needed
  Compare -26 and -54
  Swap -26 and -54
  List after swap: [-73, -54, -26, 62, 71]

Pass 4:
  Compare -73 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -54, -26, 62, 71]
</think>

<response>-73, -54, -26, 62, 71</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 57, 80, 7, 96, 39, -87, 26, -44.

output:
<think>
Initial list: [57, 80, 7, 96, 39, -87, 26, -44]

Pass 1:
  Compare 57 and 80
  No swap needed
  Compare 80 and 7
  Swap 80 and 7
  List after swap: [57, 7, 80, 96, 39, -87, 26, -44]
  Compare 80 and 96
  No swap needed
  Compare 96 and 39
  Swap 96 and 39
  List after swap: [57, 7, 80, 39, 96, -87, 26, -44]
  Compare 96 and -87
  Swap 96 and -87
  List after swap: [57, 7, 80, 39, -87, 96, 26, -44]
  Compare 96 and 26
  Swap 96 and 26
  List after swap: [57, 7, 80, 39, -87, 26, 96, -44]
  Compare 96 and -44
  Swap 96 and -44
  List after swap: [57, 7, 80, 39, -87, 26, -44, 96]

Pass 2:
  Compare 57 and 7
  Swap 57 and 7
  List after swap: [7, 57, 80, 39, -87, 26, -44, 96]
  Compare 57 and 80
  No swap needed
  Compare 80 and 39
  Swap 80 and 39
  List after swap: [7, 57, 39, 80, -87, 26, -44, 96]
  Compare 80 and -87
  Swap 80 and -87
  List after swap: [7, 57, 39, -87, 80, 26, -44, 96]
  Compare 80 and 26
  Swap 80 and 26
  List after swap: [7, 57, 39, -87, 26, 80, -44, 96]
  Compare 80 and -44
  Swap 80 and -44
  List after swap: [7, 57, 39, -87, 26, -44, 80, 96]

Pass 3:
  Compare 7 and 57
  No swap needed
  Compare 57 and 39
  Swap 57 and 39
  List after swap: [7, 39, 57, -87, 26, -44, 80, 96]
  Compare 57 and -87
  Swap 57 and -87
  List after swap: [7, 39, -87, 57, 26, -44, 80, 96]
  Compare 57 and 26
  Swap 57 and 26
  List after swap: [7, 39, -87, 26, 57, -44, 80, 96]
  Compare 57 and -44
  Swap 57 and -44
  List after swap: [7, 39, -87, 26, -44, 57, 80, 96]

Pass 4:
  Compare 7 and 39
  No swap needed
  Compare 39 and -87
  Swap 39 and -87
  List after swap: [7, -87, 39, 26, -44, 57, 80, 96]
  Compare 39 and 26
  Swap 39 and 26
  List after swap: [7, -87, 26, 39, -44, 57, 80, 96]
  Compare 39 and -44
  Swap 39 and -44
  List after swap: [7, -87, 26, -44, 39, 57, 80, 96]

Pass 5:
  Compare 7 and -87
  Swap 7 and -87
  List after swap: [-87, 7, 26, -44, 39, 57, 80, 96]
  Compare 7 and 26
  No swap needed
  Compare 26 and -44
  Swap 26 and -44
  List after swap: [-87, 7, -44, 26, 39, 57, 80, 96]

Pass 6:
  Compare -87 and 7
  No swap needed
  Compare 7 and -44
  Swap 7 and -44
  List after swap: [-87, -44, 7, 26, 39, 57, 80, 96]

Pass 7:
  Compare -87 and -44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -44, 7, 26, 39, 57, 80, 96]
</think>

<response>-87, -44, 7, 26, 39, 57, 80, 96</response>


input: Execute bubble sort to sort 24, 22, -38, 13, 27, 89 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [24, 22, -38, 13, 27, 89]

Pass 1:
  Compare 24 and 22
  Swap 24 and 22
  List after swap: [22, 24, -38, 13, 27, 89]
  Compare 24 and -38
  Swap 24 and -38
  List after swap: [22, -38, 24, 13, 27, 89]
  Compare 24 and 13
  Swap 24 and 13
  List after swap: [22, -38, 13, 24, 27, 89]
  Compare 24 and 27
  No swap needed
  Compare 27 and 89
  No swap needed

Pass 2:
  Compare 22 and -38
  Swap 22 and -38
  List after swap: [-38, 22, 13, 24, 27, 89]
  Compare 22 and 13
  Swap 22 and 13
  List after swap: [-38, 13, 22, 24, 27, 89]
  Compare 22 and 24
  No swap needed
  Compare 24 and 27
  No swap needed

Pass 3:
  Compare -38 and 13
  No swap needed
  Compare 13 and 22
  No swap needed
  Compare 22 and 24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-38, 13, 22, 24, 27, 89]
</think>

<response>-38, 13, 22, 24, 27, 89</response>


input: Carry out the bubble sort algorithm on -77, 32, 95, -9, 39 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-77, 32, 95, -9, 39]

Pass 1:
  Compare -77 and 32
  No swap needed
  Compare 32 and 95
  No swap needed
  Compare 95 and -9
  Swap 95 and -9
  List after swap: [-77, 32, -9, 95, 39]
  Compare 95 and 39
  Swap 95 and 39
  List after swap: [-77, 32, -9, 39, 95]

Pass 2:
  Compare -77 and 32
  No swap needed
  Compare 32 and -9
  Swap 32 and -9
  List after swap: [-77, -9, 32, 39, 95]
  Compare 32 and 39
  No swap needed

Pass 3:
  Compare -77 and -9
  No swap needed
  Compare -9 and 32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -9, 32, 39, 95]
</think>

<response>-77, -9, 32, 39, 95</response>


input: Sort the list 64, -51 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [64, -51]

Pass 1:
  Compare 64 and -51
  Swap 64 and -51
  List after swap: [-51, 64]

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

Final sorted list: [-51, 64]
</think>

<response>-51, 64</response>


input: Implement bubble sort on -68, 94 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-68, 94]

Pass 1:
  Compare -68 and 94
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, 94]
</think>

<response>-68, 94</response>


input: Using the bubble sort method, sort -41, -69, -29, -23, 93 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-41, -69, -29, -23, 93]

Pass 1:
  Compare -41 and -69
  Swap -41 and -69
  List after swap: [-69, -41, -29, -23, 93]
  Compare -41 and -29
  No swap needed
  Compare -29 and -23
  No swap needed
  Compare -23 and 93
  No swap needed

Pass 2:
  Compare -69 and -41
  No swap needed
  Compare -41 and -29
  No swap needed
  Compare -29 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -41, -29, -23, 93]
</think>

<response>-69, -41, -29, -23, 93</response>


input: Demonstrate how bubble sort orders the integers 1, 98, 22 in ascending sequence, showing all steps.

output:
<think>
Initial list: [1, 98, 22]

Pass 1:
  Compare 1 and 98
  No swap needed
  Compare 98 and 22
  Swap 98 and 22
  List after swap: [1, 22, 98]

Pass 2:
  Compare 1 and 22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [1, 22, 98]
</think>

<response>1, 22, 98</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -78, -16, -86, 45, -81, -46, 69.

output:
<think>
Initial list: [-78, -16, -86, 45, -81, -46, 69]

Pass 1:
  Compare -78 and -16
  No swap needed
  Compare -16 and -86
  Swap -16 and -86
  List after swap: [-78, -86, -16, 45, -81, -46, 69]
  Compare -16 and 45
  No swap needed
  Compare 45 and -81
  Swap 45 and -81
  List after swap: [-78, -86, -16, -81, 45, -46, 69]
  Compare 45 and -46
  Swap 45 and -46
  List after swap: [-78, -86, -16, -81, -46, 45, 69]
  Compare 45 and 69
  No swap needed

Pass 2:
  Compare -78 and -86
  Swap -78 and -86
  List after swap: [-86, -78, -16, -81, -46, 45, 69]
  Compare -78 and -16
  No swap needed
  Compare -16 and -81
  Swap -16 and -81
  List after swap: [-86, -78, -81, -16, -46, 45, 69]
  Compare -16 and -46
  Swap -16 and -46
  List after swap: [-86, -78, -81, -46, -16, 45, 69]
  Compare -16 and 45
  No swap needed

Pass 3:
  Compare -86 and -78
  No swap needed
  Compare -78 and -81
  Swap -78 and -81
  List after swap: [-86, -81, -78, -46, -16, 45, 69]
  Compare -78 and -46
  No swap needed
  Compare -46 and -16
  No swap needed

Pass 4:
  Compare -86 and -81
  No swap needed
  Compare -81 and -78
  No swap needed
  Compare -78 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -81, -78, -46, -16, 45, 69]
</think>

<response>-86, -81, -78, -46, -16, 45, 69</response>


input: Sort the list 31, 19, 80 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [31, 19, 80]

Pass 1:
  Compare 31 and 19
  Swap 31 and 19
  List after swap: [19, 31, 80]
  Compare 31 and 80
  No swap needed

Pass 2:
  Compare 19 and 31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [19, 31, 80]
</think>

<response>19, 31, 80</response>


input: Implement bubble sort on 15, -33, 22, 40, -14, -65, -82, -90, 72, 87 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [15, -33, 22, 40, -14, -65, -82, -90, 72, 87]

Pass 1:
  Compare 15 and -33
  Swap 15 and -33
  List after swap: [-33, 15, 22, 40, -14, -65, -82, -90, 72, 87]
  Compare 15 and 22
  No swap needed
  Compare 22 and 40
  No swap needed
  Compare 40 and -14
  Swap 40 and -14
  List after swap: [-33, 15, 22, -14, 40, -65, -82, -90, 72, 87]
  Compare 40 and -65
  Swap 40 and -65
  List after swap: [-33, 15, 22, -14, -65, 40, -82, -90, 72, 87]
  Compare 40 and -82
  Swap 40 and -82
  List after swap: [-33, 15, 22, -14, -65, -82, 40, -90, 72, 87]
  Compare 40 and -90
  Swap 40 and -90
  List after swap: [-33, 15, 22, -14, -65, -82, -90, 40, 72, 87]
  Compare 40 and 72
  No swap needed
  Compare 72 and 87
  No swap needed

Pass 2:
  Compare -33 and 15
  No swap needed
  Compare 15 and 22
  No swap needed
  Compare 22 and -14
  Swap 22 and -14
  List after swap: [-33, 15, -14, 22, -65, -82, -90, 40, 72, 87]
  Compare 22 and -65
  Swap 22 and -65
  List after swap: [-33, 15, -14, -65, 22, -82, -90, 40, 72, 87]
  Compare 22 and -82
  Swap 22 and -82
  List after swap: [-33, 15, -14, -65, -82, 22, -90, 40, 72, 87]
  Compare 22 and -90
  Swap 22 and -90
  List after swap: [-33, 15, -14, -65, -82, -90, 22, 40, 72, 87]
  Compare 22 and 40
  No swap needed
  Compare 40 and 72
  No swap needed

Pass 3:
  Compare -33 and 15
  No swap needed
  Compare 15 and -14
  Swap 15 and -14
  List after swap: [-33, -14, 15, -65, -82, -90, 22, 40, 72, 87]
  Compare 15 and -65
  Swap 15 and -65
  List after swap: [-33, -14, -65, 15, -82, -90, 22, 40, 72, 87]
  Compare 15 and -82
  Swap 15 and -82
  List after swap: [-33, -14, -65, -82, 15, -90, 22, 40, 72, 87]
  Compare 15 and -90
  Swap 15 and -90
  List after swap: [-33, -14, -65, -82, -90, 15, 22, 40, 72, 87]
  Compare 15 and 22
  No swap needed
  Compare 22 and 40
  No swap needed

Pass 4:
  Compare -33 and -14
  No swap needed
  Compare -14 and -65
  Swap -14 and -65
  List after swap: [-33, -65, -14, -82, -90, 15, 22, 40, 72, 87]
  Compare -14 and -82
  Swap -14 and -82
  List after swap: [-33, -65, -82, -14, -90, 15, 22, 40, 72, 87]
  Compare -14 and -90
  Swap -14 and -90
  List after swap: [-33, -65, -82, -90, -14, 15, 22, 40, 72, 87]
  Compare -14 and 15
  No swap needed
  Compare 15 and 22
  No swap needed

Pass 5:
  Compare -33 and -65
  Swap -33 and -65
  List after swap: [-65, -33, -82, -90, -14, 15, 22, 40, 72, 87]
  Compare -33 and -82
  Swap -33 and -82
  List after swap: [-65, -82, -33, -90, -14, 15, 22, 40, 72, 87]
  Compare -33 and -90
  Swap -33 and -90
  List after swap: [-65, -82, -90, -33, -14, 15, 22, 40, 72, 87]
  Compare -33 and -14
  No swap needed
  Compare -14 and 15
  No swap needed

Pass 6:
  Compare -65 and -82
  Swap -65 and -82
  List after swap: [-82, -65, -90, -33, -14, 15, 22, 40, 72, 87]
  Compare -65 and -90
  Swap -65 and -90
  List after swap: [-82, -90, -65, -33, -14, 15, 22, 40, 72, 87]
  Compare -65 and -33
  No swap needed
  Compare -33 and -14
  No swap needed

Pass 7:
  Compare -82 and -90
  Swap -82 and -90
  List after swap: [-90, -82, -65, -33, -14, 15, 22, 40, 72, 87]
  Compare -82 and -65
  No swap needed
  Compare -65 and -33
  No swap needed

Pass 8:
  Compare -90 and -82
  No swap needed
  Compare -82 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -82, -65, -33, -14, 15, 22, 40, 72, 87]
</think>

<response>-90, -82, -65, -33, -14, 15, 22, 40, 72, 87</response>


input: Carry out the bubble sort algorithm on 14, -89, -86, -35, 44, 73, 51 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [14, -89, -86, -35, 44, 73, 51]

Pass 1:
  Compare 14 and -89
  Swap 14 and -89
  List after swap: [-89, 14, -86, -35, 44, 73, 51]
  Compare 14 and -86
  Swap 14 and -86
  List after swap: [-89, -86, 14, -35, 44, 73, 51]
  Compare 14 and -35
  Swap 14 and -35
  List after swap: [-89, -86, -35, 14, 44, 73, 51]
  Compare 14 and 44
  No swap needed
  Compare 44 and 73
  No swap needed
  Compare 73 and 51
  Swap 73 and 51
  List after swap: [-89, -86, -35, 14, 44, 51, 73]

Pass 2:
  Compare -89 and -86
  No swap needed
  Compare -86 and -35
  No swap needed
  Compare -35 and 14
  No swap needed
  Compare 14 and 44
  No swap needed
  Compare 44 and 51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -86, -35, 14, 44, 51, 73]
</think>

<response>-89, -86, -35, 14, 44, 51, 73</response>


input: Implement bubble sort on 62, 67, 40, -45, 57, 80 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [62, 67, 40, -45, 57, 80]

Pass 1:
  Compare 62 and 67
  No swap needed
  Compare 67 and 40
  Swap 67 and 40
  List after swap: [62, 40, 67, -45, 57, 80]
  Compare 67 and -45
  Swap 67 and -45
  List after swap: [62, 40, -45, 67, 57, 80]
  Compare 67 and 57
  Swap 67 and 57
  List after swap: [62, 40, -45, 57, 67, 80]
  Compare 67 and 80
  No swap needed

Pass 2:
  Compare 62 and 40
  Swap 62 and 40
  List after swap: [40, 62, -45, 57, 67, 80]
  Compare 62 and -45
  Swap 62 and -45
  List after swap: [40, -45, 62, 57, 67, 80]
  Compare 62 and 57
  Swap 62 and 57
  List after swap: [40, -45, 57, 62, 67, 80]
  Compare 62 and 67
  No swap needed

Pass 3:
  Compare 40 and -45
  Swap 40 and -45
  List after swap: [-45, 40, 57, 62, 67, 80]
  Compare 40 and 57
  No swap needed
  Compare 57 and 62
  No swap needed

Pass 4:
  Compare -45 and 40
  No swap needed
  Compare 40 and 57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-45, 40, 57, 62, 67, 80]
</think>

<response>-45, 40, 57, 62, 67, 80</response>


input: Carry out the bubble sort algorithm on -100, 35, -3, -73, 97, -65, -67, -26, -78 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-100, 35, -3, -73, 97, -65, -67, -26, -78]

Pass 1:
  Compare -100 and 35
  No swap needed
  Compare 35 and -3
  Swap 35 and -3
  List after swap: [-100, -3, 35, -73, 97, -65, -67, -26, -78]
  Compare 35 and -73
  Swap 35 and -73
  List after swap: [-100, -3, -73, 35, 97, -65, -67, -26, -78]
  Compare 35 and 97
  No swap needed
  Compare 97 and -65
  Swap 97 and -65
  List after swap: [-100, -3, -73, 35, -65, 97, -67, -26, -78]
  Compare 97 and -67
  Swap 97 and -67
  List after swap: [-100, -3, -73, 35, -65, -67, 97, -26, -78]
  Compare 97 and -26
  Swap 97 and -26
  List after swap: [-100, -3, -73, 35, -65, -67, -26, 97, -78]
  Compare 97 and -78
  Swap 97 and -78
  List after swap: [-100, -3, -73, 35, -65, -67, -26, -78, 97]

Pass 2:
  Compare -100 and -3
  No swap needed
  Compare -3 and -73
  Swap -3 and -73
  List after swap: [-100, -73, -3, 35, -65, -67, -26, -78, 97]
  Compare -3 and 35
  No swap needed
  Compare 35 and -65
  Swap 35 and -65
  List after swap: [-100, -73, -3, -65, 35, -67, -26, -78, 97]
  Compare 35 and -67
  Swap 35 and -67
  List after swap: [-100, -73, -3, -65, -67, 35, -26, -78, 97]
  Compare 35 and -26
  Swap 35 and -26
  List after swap: [-100, -73, -3, -65, -67, -26, 35, -78, 97]
  Compare 35 and -78
  Swap 35 and -78
  List after swap: [-100, -73, -3, -65, -67, -26, -78, 35, 97]

Pass 3:
  Compare -100 and -73
  No swap needed
  Compare -73 and -3
  No swap needed
  Compare -3 and -65
  Swap -3 and -65
  List after swap: [-100, -73, -65, -3, -67, -26, -78, 35, 97]
  Compare -3 and -67
  Swap -3 and -67
  List after swap: [-100, -73, -65, -67, -3, -26, -78, 35, 97]
  Compare -3 and -26
  Swap -3 and -26
  List after swap: [-100, -73, -65, -67, -26, -3, -78, 35, 97]
  Compare -3 and -78
  Swap -3 and -78
  List after swap: [-100, -73, -65, -67, -26, -78, -3, 35, 97]

Pass 4:
  Compare -100 and -73
  No swap needed
  Compare -73 and -65
  No swap needed
  Compare -65 and -67
  Swap -65 and -67
  List after swap: [-100, -73, -67, -65, -26, -78, -3, 35, 97]
  Compare -65 and -26
  No swap needed
  Compare -26 and -78
  Swap -26 and -78
  List after swap: [-100, -73, -67, -65, -78, -26, -3, 35, 97]

Pass 5:
  Compare -100 and -73
  No swap needed
  Compare -73 and -67
  No swap needed
  Compare -67 and -65
  No swap needed
  Compare -65 and -78
  Swap -65 and -78
  List after swap: [-100, -73, -67, -78, -65, -26, -3, 35, 97]

Pass 6:
  Compare -100 and -73
  No swap needed
  Compare -73 and -67
  No swap needed
  Compare -67 and -78
  Swap -67 and -78
  List after swap: [-100, -73, -78, -67, -65, -26, -3, 35, 97]

Pass 7:
  Compare -100 and -73
  No swap needed
  Compare -73 and -78
  Swap -73 and -78
  List after swap: [-100, -78, -73, -67, -65, -26, -3, 35, 97]

Pass 8:
  Compare -100 and -78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -78, -73, -67, -65, -26, -3, 35, 97]
</think>

<response>-100, -78, -73, -67, -65, -26, -3, 35, 97</response>


input: Execute bubble sort to sort -67, 21, 62, -19, 81, 2 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-67, 21, 62, -19, 81, 2]

Pass 1:
  Compare -67 and 21
  No swap needed
  Compare 21 and 62
  No swap needed
  Compare 62 and -19
  Swap 62 and -19
  List after swap: [-67, 21, -19, 62, 81, 2]
  Compare 62 and 81
  No swap needed
  Compare 81 and 2
  Swap 81 and 2
  List after swap: [-67, 21, -19, 62, 2, 81]

Pass 2:
  Compare -67 and 21
  No swap needed
  Compare 21 and -19
  Swap 21 and -19
  List after swap: [-67, -19, 21, 62, 2, 81]
  Compare 21 and 62
  No swap needed
  Compare 62 and 2
  Swap 62 and 2
  List after swap: [-67, -19, 21, 2, 62, 81]

Pass 3:
  Compare -67 and -19
  No swap needed
  Compare -19 and 21
  No swap needed
  Compare 21 and 2
  Swap 21 and 2
  List after swap: [-67, -19, 2, 21, 62, 81]

Pass 4:
  Compare -67 and -19
  No swap needed
  Compare -19 and 2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -19, 2, 21, 62, 81]
</think>

<response>-67, -19, 2, 21, 62, 81</response>


input: Using the bubble sort method, sort -38, 96, 77, 89, -65, 68, 63, -44 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-38, 96, 77, 89, -65, 68, 63, -44]

Pass 1:
  Compare -38 and 96
  No swap needed
  Compare 96 and 77
  Swap 96 and 77
  List after swap: [-38, 77, 96, 89, -65, 68, 63, -44]
  Compare 96 and 89
  Swap 96 and 89
  List after swap: [-38, 77, 89, 96, -65, 68, 63, -44]
  Compare 96 and -65
  Swap 96 and -65
  List after swap: [-38, 77, 89, -65, 96, 68, 63, -44]
  Compare 96 and 68
  Swap 96 and 68
  List after swap: [-38, 77, 89, -65, 68, 96, 63, -44]
  Compare 96 and 63
  Swap 96 and 63
  List after swap: [-38, 77, 89, -65, 68, 63, 96, -44]
  Compare 96 and -44
  Swap 96 and -44
  List after swap: [-38, 77, 89, -65, 68, 63, -44, 96]

Pass 2:
  Compare -38 and 77
  No swap needed
  Compare 77 and 89
  No swap needed
  Compare 89 and -65
  Swap 89 and -65
  List after swap: [-38, 77, -65, 89, 68, 63, -44, 96]
  Compare 89 and 68
  Swap 89 and 68
  List after swap: [-38, 77, -65, 68, 89, 63, -44, 96]
  Compare 89 and 63
  Swap 89 and 63
  List after swap: [-38, 77, -65, 68, 63, 89, -44, 96]
  Compare 89 and -44
  Swap 89 and -44
  List after swap: [-38, 77, -65, 68, 63, -44, 89, 96]

Pass 3:
  Compare -38 and 77
  No swap needed
  Compare 77 and -65
  Swap 77 and -65
  List after swap: [-38, -65, 77, 68, 63, -44, 89, 96]
  Compare 77 and 68
  Swap 77 and 68
  List after swap: [-38, -65, 68, 77, 63, -44, 89, 96]
  Compare 77 and 63
  Swap 77 and 63
  List after swap: [-38, -65, 68, 63, 77, -44, 89, 96]
  Compare 77 and -44
  Swap 77 and -44
  List after swap: [-38, -65, 68, 63, -44, 77, 89, 96]

Pass 4:
  Compare -38 and -65
  Swap -38 and -65
  List after swap: [-65, -38, 68, 63, -44, 77, 89, 96]
  Compare -38 and 68
  No swap needed
  Compare 68 and 63
  Swap 68 and 63
  List after swap: [-65, -38, 63, 68, -44, 77, 89, 96]
  Compare 68 and -44
  Swap 68 and -44
  List after swap: [-65, -38, 63, -44, 68, 77, 89, 96]

Pass 5:
  Compare -65 and -38
  No swap needed
  Compare -38 and 63
  No swap needed
  Compare 63 and -44
  Swap 63 and -44
  List after swap: [-65, -38, -44, 63, 68, 77, 89, 96]

Pass 6:
  Compare -65 and -38
  No swap needed
  Compare -38 and -44
  Swap -38 and -44
  List after swap: [-65, -44, -38, 63, 68, 77, 89, 96]

Pass 7:
  Compare -65 and -44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -44, -38, 63, 68, 77, 89, 96]
</think>

<response>-65, -44, -38, 63, 68, 77, 89, 96</response>


input: Perform a bubble sort on the integers 83, -61, -16, 74, -18, -51, 44, -77, 89, 85, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [83, -61, -16, 74, -18, -51, 44, -77, 89, 85]

Pass 1:
  Compare 83 and -61
  Swap 83 and -61
  List after swap: [-61, 83, -16, 74, -18, -51, 44, -77, 89, 85]
  Compare 83 and -16
  Swap 83 and -16
  List after swap: [-61, -16, 83, 74, -18, -51, 44, -77, 89, 85]
  Compare 83 and 74
  Swap 83 and 74
  List after swap: [-61, -16, 74, 83, -18, -51, 44, -77, 89, 85]
  Compare 83 and -18
  Swap 83 and -18
  List after swap: [-61, -16, 74, -18, 83, -51, 44, -77, 89, 85]
  Compare 83 and -51
  Swap 83 and -51
  List after swap: [-61, -16, 74, -18, -51, 83, 44, -77, 89, 85]
  Compare 83 and 44
  Swap 83 and 44
  List after swap: [-61, -16, 74, -18, -51, 44, 83, -77, 89, 85]
  Compare 83 and -77
  Swap 83 and -77
  List after swap: [-61, -16, 74, -18, -51, 44, -77, 83, 89, 85]
  Compare 83 and 89
  No swap needed
  Compare 89 and 85
  Swap 89 and 85
  List after swap: [-61, -16, 74, -18, -51, 44, -77, 83, 85, 89]

Pass 2:
  Compare -61 and -16
  No swap needed
  Compare -16 and 74
  No swap needed
  Compare 74 and -18
  Swap 74 and -18
  List after swap: [-61, -16, -18, 74, -51, 44, -77, 83, 85, 89]
  Compare 74 and -51
  Swap 74 and -51
  List after swap: [-61, -16, -18, -51, 74, 44, -77, 83, 85, 89]
  Compare 74 and 44
  Swap 74 and 44
  List after swap: [-61, -16, -18, -51, 44, 74, -77, 83, 85, 89]
  Compare 74 and -77
  Swap 74 and -77
  List after swap: [-61, -16, -18, -51, 44, -77, 74, 83, 85, 89]
  Compare 74 and 83
  No swap needed
  Compare 83 and 85
  No swap needed

Pass 3:
  Compare -61 and -16
  No swap needed
  Compare -16 and -18
  Swap -16 and -18
  List after swap: [-61, -18, -16, -51, 44, -77, 74, 83, 85, 89]
  Compare -16 and -51
  Swap -16 and -51
  List after swap: [-61, -18, -51, -16, 44, -77, 74, 83, 85, 89]
  Compare -16 and 44
  No swap needed
  Compare 44 and -77
  Swap 44 and -77
  List after swap: [-61, -18, -51, -16, -77, 44, 74, 83, 85, 89]
  Compare 44 and 74
  No swap needed
  Compare 74 and 83
  No swap needed

Pass 4:
  Compare -61 and -18
  No swap needed
  Compare -18 and -51
  Swap -18 and -51
  List after swap: [-61, -51, -18, -16, -77, 44, 74, 83, 85, 89]
  Compare -18 and -16
  No swap needed
  Compare -16 and -77
  Swap -16 and -77
  List after swap: [-61, -51, -18, -77, -16, 44, 74, 83, 85, 89]
  Compare -16 and 44
  No swap needed
  Compare 44 and 74
  No swap needed

Pass 5:
  Compare -61 and -51
  No swap needed
  Compare -51 and -18
  No swap needed
  Compare -18 and -77
  Swap -18 and -77
  List after swap: [-61, -51, -77, -18, -16, 44, 74, 83, 85, 89]
  Compare -18 and -16
  No swap needed
  Compare -16 and 44
  No swap needed

Pass 6:
  Compare -61 and -51
  No swap needed
  Compare -51 and -77
  Swap -51 and -77
  List after swap: [-61, -77, -51, -18, -16, 44, 74, 83, 85, 89]
  Compare -51 and -18
  No swap needed
  Compare -18 and -16
  No swap needed

Pass 7:
  Compare -61 and -77
  Swap -61 and -77
  List after swap: [-77, -61, -51, -18, -16, 44, 74, 83, 85, 89]
  Compare -61 and -51
  No swap needed
  Compare -51 and -18
  No swap needed

Pass 8:
  Compare -77 and -61
  No swap needed
  Compare -61 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -61, -51, -18, -16, 44, 74, 83, 85, 89]
</think>

<response>-77, -61, -51, -18, -16, 44, 74, 83, 85, 89</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 57, 31, -99, -77.

output:
<think>
Initial list: [57, 31, -99, -77]

Pass 1:
  Compare 57 and 31
  Swap 57 and 31
  List after swap: [31, 57, -99, -77]
  Compare 57 and -99
  Swap 57 and -99
  List after swap: [31, -99, 57, -77]
  Compare 57 and -77
  Swap 57 and -77
  List after swap: [31, -99, -77, 57]

Pass 2:
  Compare 31 and -99
  Swap 31 and -99
  List after swap: [-99, 31, -77, 57]
  Compare 31 and -77
  Swap 31 and -77
  List after swap: [-99, -77, 31, 57]

Pass 3:
  Compare -99 and -77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -77, 31, 57]
</think>

<response>-99, -77, 31, 57</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 51, 16, 21, -41, 60, -89.

output:
<think>
Initial list: [51, 16, 21, -41, 60, -89]

Pass 1:
  Compare 51 and 16
  Swap 51 and 16
  List after swap: [16, 51, 21, -41, 60, -89]
  Compare 51 and 21
  Swap 51 and 21
  List after swap: [16, 21, 51, -41, 60, -89]
  Compare 51 and -41
  Swap 51 and -41
  List after swap: [16, 21, -41, 51, 60, -89]
  Compare 51 and 60
  No swap needed
  Compare 60 and -89
  Swap 60 and -89
  List after swap: [16, 21, -41, 51, -89, 60]

Pass 2:
  Compare 16 and 21
  No swap needed
  Compare 21 and -41
  Swap 21 and -41
  List after swap: [16, -41, 21, 51, -89, 60]
  Compare 21 and 51
  No swap needed
  Compare 51 and -89
  Swap 51 and -89
  List after swap: [16, -41, 21, -89, 51, 60]

Pass 3:
  Compare 16 and -41
  Swap 16 and -41
  List after swap: [-41, 16, 21, -89, 51, 60]
  Compare 16 and 21
  No swap needed
  Compare 21 and -89
  Swap 21 and -89
  List after swap: [-41, 16, -89, 21, 51, 60]

Pass 4:
  Compare -41 and 16
  No swap needed
  Compare 16 and -89
  Swap 16 and -89
  List after swap: [-41, -89, 16, 21, 51, 60]

Pass 5:
  Compare -41 and -89
  Swap -41 and -89
  List after swap: [-89, -41, 16, 21, 51, 60]

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

Final sorted list: [-89, -41, 16, 21, 51, 60]
</think>

<response>-89, -41, 16, 21, 51, 60</response>