input: Sort these integers -61, 55, -96, 90, -99, -42 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-61, 55, -96, 90, -99, -42]

Pass 1:
  Compare -61 and 55
  No swap needed
  Compare 55 and -96
  Swap 55 and -96
  List after swap: [-61, -96, 55, 90, -99, -42]
  Compare 55 and 90
  No swap needed
  Compare 90 and -99
  Swap 90 and -99
  List after swap: [-61, -96, 55, -99, 90, -42]
  Compare 90 and -42
  Swap 90 and -42
  List after swap: [-61, -96, 55, -99, -42, 90]

Pass 2:
  Compare -61 and -96
  Swap -61 and -96
  List after swap: [-96, -61, 55, -99, -42, 90]
  Compare -61 and 55
  No swap needed
  Compare 55 and -99
  Swap 55 and -99
  List after swap: [-96, -61, -99, 55, -42, 90]
  Compare 55 and -42
  Swap 55 and -42
  List after swap: [-96, -61, -99, -42, 55, 90]

Pass 3:
  Compare -96 and -61
  No swap needed
  Compare -61 and -99
  Swap -61 and -99
  List after swap: [-96, -99, -61, -42, 55, 90]
  Compare -61 and -42
  No swap needed

Pass 4:
  Compare -96 and -99
  Swap -96 and -99
  List after swap: [-99, -96, -61, -42, 55, 90]
  Compare -96 and -61
  No swap needed

Pass 5:
  Compare -99 and -96
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -96, -61, -42, 55, 90]
</think>

<response>-99, -96, -61, -42, 55, 90</response>


input: Arrange the numbers 23, -16, 88, -49, -7, -78 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [23, -16, 88, -49, -7, -78]

Pass 1:
  Compare 23 and -16
  Swap 23 and -16
  List after swap: [-16, 23, 88, -49, -7, -78]
  Compare 23 and 88
  No swap needed
  Compare 88 and -49
  Swap 88 and -49
  List after swap: [-16, 23, -49, 88, -7, -78]
  Compare 88 and -7
  Swap 88 and -7
  List after swap: [-16, 23, -49, -7, 88, -78]
  Compare 88 and -78
  Swap 88 and -78
  List after swap: [-16, 23, -49, -7, -78, 88]

Pass 2:
  Compare -16 and 23
  No swap needed
  Compare 23 and -49
  Swap 23 and -49
  List after swap: [-16, -49, 23, -7, -78, 88]
  Compare 23 and -7
  Swap 23 and -7
  List after swap: [-16, -49, -7, 23, -78, 88]
  Compare 23 and -78
  Swap 23 and -78
  List after swap: [-16, -49, -7, -78, 23, 88]

Pass 3:
  Compare -16 and -49
  Swap -16 and -49
  List after swap: [-49, -16, -7, -78, 23, 88]
  Compare -16 and -7
  No swap needed
  Compare -7 and -78
  Swap -7 and -78
  List after swap: [-49, -16, -78, -7, 23, 88]

Pass 4:
  Compare -49 and -16
  No swap needed
  Compare -16 and -78
  Swap -16 and -78
  List after swap: [-49, -78, -16, -7, 23, 88]

Pass 5:
  Compare -49 and -78
  Swap -49 and -78
  List after swap: [-78, -49, -16, -7, 23, 88]

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

Final sorted list: [-78, -49, -16, -7, 23, 88]
</think>

<response>-78, -49, -16, -7, 23, 88</response>


input: Implement bubble sort on -38, -14, -47 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-38, -14, -47]

Pass 1:
  Compare -38 and -14
  No swap needed
  Compare -14 and -47
  Swap -14 and -47
  List after swap: [-38, -47, -14]

Pass 2:
  Compare -38 and -47
  Swap -38 and -47
  List after swap: [-47, -38, -14]

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

Final sorted list: [-47, -38, -14]
</think>

<response>-47, -38, -14</response>


input: Execute bubble sort to sort -78, 94, 68, -37, -29, -76, -39 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-78, 94, 68, -37, -29, -76, -39]

Pass 1:
  Compare -78 and 94
  No swap needed
  Compare 94 and 68
  Swap 94 and 68
  List after swap: [-78, 68, 94, -37, -29, -76, -39]
  Compare 94 and -37
  Swap 94 and -37
  List after swap: [-78, 68, -37, 94, -29, -76, -39]
  Compare 94 and -29
  Swap 94 and -29
  List after swap: [-78, 68, -37, -29, 94, -76, -39]
  Compare 94 and -76
  Swap 94 and -76
  List after swap: [-78, 68, -37, -29, -76, 94, -39]
  Compare 94 and -39
  Swap 94 and -39
  List after swap: [-78, 68, -37, -29, -76, -39, 94]

Pass 2:
  Compare -78 and 68
  No swap needed
  Compare 68 and -37
  Swap 68 and -37
  List after swap: [-78, -37, 68, -29, -76, -39, 94]
  Compare 68 and -29
  Swap 68 and -29
  List after swap: [-78, -37, -29, 68, -76, -39, 94]
  Compare 68 and -76
  Swap 68 and -76
  List after swap: [-78, -37, -29, -76, 68, -39, 94]
  Compare 68 and -39
  Swap 68 and -39
  List after swap: [-78, -37, -29, -76, -39, 68, 94]

Pass 3:
  Compare -78 and -37
  No swap needed
  Compare -37 and -29
  No swap needed
  Compare -29 and -76
  Swap -29 and -76
  List after swap: [-78, -37, -76, -29, -39, 68, 94]
  Compare -29 and -39
  Swap -29 and -39
  List after swap: [-78, -37, -76, -39, -29, 68, 94]

Pass 4:
  Compare -78 and -37
  No swap needed
  Compare -37 and -76
  Swap -37 and -76
  List after swap: [-78, -76, -37, -39, -29, 68, 94]
  Compare -37 and -39
  Swap -37 and -39
  List after swap: [-78, -76, -39, -37, -29, 68, 94]

Pass 5:
  Compare -78 and -76
  No swap needed
  Compare -76 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -76, -39, -37, -29, 68, 94]
</think>

<response>-78, -76, -39, -37, -29, 68, 94</response>


input: Sort the list 90, -42, -8, -62 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [90, -42, -8, -62]

Pass 1:
  Compare 90 and -42
  Swap 90 and -42
  List after swap: [-42, 90, -8, -62]
  Compare 90 and -8
  Swap 90 and -8
  List after swap: [-42, -8, 90, -62]
  Compare 90 and -62
  Swap 90 and -62
  List after swap: [-42, -8, -62, 90]

Pass 2:
  Compare -42 and -8
  No swap needed
  Compare -8 and -62
  Swap -8 and -62
  List after swap: [-42, -62, -8, 90]

Pass 3:
  Compare -42 and -62
  Swap -42 and -62
  List after swap: [-62, -42, -8, 90]

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

Final sorted list: [-62, -42, -8, 90]
</think>

<response>-62, -42, -8, 90</response>


input: Use the bubble sort technique to reorder -29, 72, 57, 84, 29, 64 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-29, 72, 57, 84, 29, 64]

Pass 1:
  Compare -29 and 72
  No swap needed
  Compare 72 and 57
  Swap 72 and 57
  List after swap: [-29, 57, 72, 84, 29, 64]
  Compare 72 and 84
  No swap needed
  Compare 84 and 29
  Swap 84 and 29
  List after swap: [-29, 57, 72, 29, 84, 64]
  Compare 84 and 64
  Swap 84 and 64
  List after swap: [-29, 57, 72, 29, 64, 84]

Pass 2:
  Compare -29 and 57
  No swap needed
  Compare 57 and 72
  No swap needed
  Compare 72 and 29
  Swap 72 and 29
  List after swap: [-29, 57, 29, 72, 64, 84]
  Compare 72 and 64
  Swap 72 and 64
  List after swap: [-29, 57, 29, 64, 72, 84]

Pass 3:
  Compare -29 and 57
  No swap needed
  Compare 57 and 29
  Swap 57 and 29
  List after swap: [-29, 29, 57, 64, 72, 84]
  Compare 57 and 64
  No swap needed

Pass 4:
  Compare -29 and 29
  No swap needed
  Compare 29 and 57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-29, 29, 57, 64, 72, 84]
</think>

<response>-29, 29, 57, 64, 72, 84</response>


input: Perform a bubble sort on the integers 98, -17, -34, 57, -61, 18, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [98, -17, -34, 57, -61, 18]

Pass 1:
  Compare 98 and -17
  Swap 98 and -17
  List after swap: [-17, 98, -34, 57, -61, 18]
  Compare 98 and -34
  Swap 98 and -34
  List after swap: [-17, -34, 98, 57, -61, 18]
  Compare 98 and 57
  Swap 98 and 57
  List after swap: [-17, -34, 57, 98, -61, 18]
  Compare 98 and -61
  Swap 98 and -61
  List after swap: [-17, -34, 57, -61, 98, 18]
  Compare 98 and 18
  Swap 98 and 18
  List after swap: [-17, -34, 57, -61, 18, 98]

Pass 2:
  Compare -17 and -34
  Swap -17 and -34
  List after swap: [-34, -17, 57, -61, 18, 98]
  Compare -17 and 57
  No swap needed
  Compare 57 and -61
  Swap 57 and -61
  List after swap: [-34, -17, -61, 57, 18, 98]
  Compare 57 and 18
  Swap 57 and 18
  List after swap: [-34, -17, -61, 18, 57, 98]

Pass 3:
  Compare -34 and -17
  No swap needed
  Compare -17 and -61
  Swap -17 and -61
  List after swap: [-34, -61, -17, 18, 57, 98]
  Compare -17 and 18
  No swap needed

Pass 4:
  Compare -34 and -61
  Swap -34 and -61
  List after swap: [-61, -34, -17, 18, 57, 98]
  Compare -34 and -17
  No swap needed

Pass 5:
  Compare -61 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -34, -17, 18, 57, 98]
</think>

<response>-61, -34, -17, 18, 57, 98</response>


input: Execute bubble sort to sort -28, -18, -51, 11, -90, -46, 76, -31 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-28, -18, -51, 11, -90, -46, 76, -31]

Pass 1:
  Compare -28 and -18
  No swap needed
  Compare -18 and -51
  Swap -18 and -51
  List after swap: [-28, -51, -18, 11, -90, -46, 76, -31]
  Compare -18 and 11
  No swap needed
  Compare 11 and -90
  Swap 11 and -90
  List after swap: [-28, -51, -18, -90, 11, -46, 76, -31]
  Compare 11 and -46
  Swap 11 and -46
  List after swap: [-28, -51, -18, -90, -46, 11, 76, -31]
  Compare 11 and 76
  No swap needed
  Compare 76 and -31
  Swap 76 and -31
  List after swap: [-28, -51, -18, -90, -46, 11, -31, 76]

Pass 2:
  Compare -28 and -51
  Swap -28 and -51
  List after swap: [-51, -28, -18, -90, -46, 11, -31, 76]
  Compare -28 and -18
  No swap needed
  Compare -18 and -90
  Swap -18 and -90
  List after swap: [-51, -28, -90, -18, -46, 11, -31, 76]
  Compare -18 and -46
  Swap -18 and -46
  List after swap: [-51, -28, -90, -46, -18, 11, -31, 76]
  Compare -18 and 11
  No swap needed
  Compare 11 and -31
  Swap 11 and -31
  List after swap: [-51, -28, -90, -46, -18, -31, 11, 76]

Pass 3:
  Compare -51 and -28
  No swap needed
  Compare -28 and -90
  Swap -28 and -90
  List after swap: [-51, -90, -28, -46, -18, -31, 11, 76]
  Compare -28 and -46
  Swap -28 and -46
  List after swap: [-51, -90, -46, -28, -18, -31, 11, 76]
  Compare -28 and -18
  No swap needed
  Compare -18 and -31
  Swap -18 and -31
  List after swap: [-51, -90, -46, -28, -31, -18, 11, 76]

Pass 4:
  Compare -51 and -90
  Swap -51 and -90
  List after swap: [-90, -51, -46, -28, -31, -18, 11, 76]
  Compare -51 and -46
  No swap needed
  Compare -46 and -28
  No swap needed
  Compare -28 and -31
  Swap -28 and -31
  List after swap: [-90, -51, -46, -31, -28, -18, 11, 76]

Pass 5:
  Compare -90 and -51
  No swap needed
  Compare -51 and -46
  No swap needed
  Compare -46 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -51, -46, -31, -28, -18, 11, 76]
</think>

<response>-90, -51, -46, -31, -28, -18, 11, 76</response>


input: Execute bubble sort to sort -8, 65, 30, 68, -34, -21, 89, 5 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-8, 65, 30, 68, -34, -21, 89, 5]

Pass 1:
  Compare -8 and 65
  No swap needed
  Compare 65 and 30
  Swap 65 and 30
  List after swap: [-8, 30, 65, 68, -34, -21, 89, 5]
  Compare 65 and 68
  No swap needed
  Compare 68 and -34
  Swap 68 and -34
  List after swap: [-8, 30, 65, -34, 68, -21, 89, 5]
  Compare 68 and -21
  Swap 68 and -21
  List after swap: [-8, 30, 65, -34, -21, 68, 89, 5]
  Compare 68 and 89
  No swap needed
  Compare 89 and 5
  Swap 89 and 5
  List after swap: [-8, 30, 65, -34, -21, 68, 5, 89]

Pass 2:
  Compare -8 and 30
  No swap needed
  Compare 30 and 65
  No swap needed
  Compare 65 and -34
  Swap 65 and -34
  List after swap: [-8, 30, -34, 65, -21, 68, 5, 89]
  Compare 65 and -21
  Swap 65 and -21
  List after swap: [-8, 30, -34, -21, 65, 68, 5, 89]
  Compare 65 and 68
  No swap needed
  Compare 68 and 5
  Swap 68 and 5
  List after swap: [-8, 30, -34, -21, 65, 5, 68, 89]

Pass 3:
  Compare -8 and 30
  No swap needed
  Compare 30 and -34
  Swap 30 and -34
  List after swap: [-8, -34, 30, -21, 65, 5, 68, 89]
  Compare 30 and -21
  Swap 30 and -21
  List after swap: [-8, -34, -21, 30, 65, 5, 68, 89]
  Compare 30 and 65
  No swap needed
  Compare 65 and 5
  Swap 65 and 5
  List after swap: [-8, -34, -21, 30, 5, 65, 68, 89]

Pass 4:
  Compare -8 and -34
  Swap -8 and -34
  List after swap: [-34, -8, -21, 30, 5, 65, 68, 89]
  Compare -8 and -21
  Swap -8 and -21
  List after swap: [-34, -21, -8, 30, 5, 65, 68, 89]
  Compare -8 and 30
  No swap needed
  Compare 30 and 5
  Swap 30 and 5
  List after swap: [-34, -21, -8, 5, 30, 65, 68, 89]

Pass 5:
  Compare -34 and -21
  No swap needed
  Compare -21 and -8
  No swap needed
  Compare -8 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-34, -21, -8, 5, 30, 65, 68, 89]
</think>

<response>-34, -21, -8, 5, 30, 65, 68, 89</response>


input: Using the bubble sort method, sort 12, -96 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [12, -96]

Pass 1:
  Compare 12 and -96
  Swap 12 and -96
  List after swap: [-96, 12]

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

Final sorted list: [-96, 12]
</think>

<response>-96, 12</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 52, -58, 10, 75, -82, -59, 19.

output:
<think>
Initial list: [52, -58, 10, 75, -82, -59, 19]

Pass 1:
  Compare 52 and -58
  Swap 52 and -58
  List after swap: [-58, 52, 10, 75, -82, -59, 19]
  Compare 52 and 10
  Swap 52 and 10
  List after swap: [-58, 10, 52, 75, -82, -59, 19]
  Compare 52 and 75
  No swap needed
  Compare 75 and -82
  Swap 75 and -82
  List after swap: [-58, 10, 52, -82, 75, -59, 19]
  Compare 75 and -59
  Swap 75 and -59
  List after swap: [-58, 10, 52, -82, -59, 75, 19]
  Compare 75 and 19
  Swap 75 and 19
  List after swap: [-58, 10, 52, -82, -59, 19, 75]

Pass 2:
  Compare -58 and 10
  No swap needed
  Compare 10 and 52
  No swap needed
  Compare 52 and -82
  Swap 52 and -82
  List after swap: [-58, 10, -82, 52, -59, 19, 75]
  Compare 52 and -59
  Swap 52 and -59
  List after swap: [-58, 10, -82, -59, 52, 19, 75]
  Compare 52 and 19
  Swap 52 and 19
  List after swap: [-58, 10, -82, -59, 19, 52, 75]

Pass 3:
  Compare -58 and 10
  No swap needed
  Compare 10 and -82
  Swap 10 and -82
  List after swap: [-58, -82, 10, -59, 19, 52, 75]
  Compare 10 and -59
  Swap 10 and -59
  List after swap: [-58, -82, -59, 10, 19, 52, 75]
  Compare 10 and 19
  No swap needed

Pass 4:
  Compare -58 and -82
  Swap -58 and -82
  List after swap: [-82, -58, -59, 10, 19, 52, 75]
  Compare -58 and -59
  Swap -58 and -59
  List after swap: [-82, -59, -58, 10, 19, 52, 75]
  Compare -58 and 10
  No swap needed

Pass 5:
  Compare -82 and -59
  No swap needed
  Compare -59 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -59, -58, 10, 19, 52, 75]
</think>

<response>-82, -59, -58, 10, 19, 52, 75</response>


input: Demonstrate how bubble sort orders the integers 69, -87, -10, -21, 98, 84, -91 in ascending sequence, showing all steps.

output:
<think>
Initial list: [69, -87, -10, -21, 98, 84, -91]

Pass 1:
  Compare 69 and -87
  Swap 69 and -87
  List after swap: [-87, 69, -10, -21, 98, 84, -91]
  Compare 69 and -10
  Swap 69 and -10
  List after swap: [-87, -10, 69, -21, 98, 84, -91]
  Compare 69 and -21
  Swap 69 and -21
  List after swap: [-87, -10, -21, 69, 98, 84, -91]
  Compare 69 and 98
  No swap needed
  Compare 98 and 84
  Swap 98 and 84
  List after swap: [-87, -10, -21, 69, 84, 98, -91]
  Compare 98 and -91
  Swap 98 and -91
  List after swap: [-87, -10, -21, 69, 84, -91, 98]

Pass 2:
  Compare -87 and -10
  No swap needed
  Compare -10 and -21
  Swap -10 and -21
  List after swap: [-87, -21, -10, 69, 84, -91, 98]
  Compare -10 and 69
  No swap needed
  Compare 69 and 84
  No swap needed
  Compare 84 and -91
  Swap 84 and -91
  List after swap: [-87, -21, -10, 69, -91, 84, 98]

Pass 3:
  Compare -87 and -21
  No swap needed
  Compare -21 and -10
  No swap needed
  Compare -10 and 69
  No swap needed
  Compare 69 and -91
  Swap 69 and -91
  List after swap: [-87, -21, -10, -91, 69, 84, 98]

Pass 4:
  Compare -87 and -21
  No swap needed
  Compare -21 and -10
  No swap needed
  Compare -10 and -91
  Swap -10 and -91
  List after swap: [-87, -21, -91, -10, 69, 84, 98]

Pass 5:
  Compare -87 and -21
  No swap needed
  Compare -21 and -91
  Swap -21 and -91
  List after swap: [-87, -91, -21, -10, 69, 84, 98]

Pass 6:
  Compare -87 and -91
  Swap -87 and -91
  List after swap: [-91, -87, -21, -10, 69, 84, 98]

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

Final sorted list: [-91, -87, -21, -10, 69, 84, 98]
</think>

<response>-91, -87, -21, -10, 69, 84, 98</response>


input: Arrange the numbers 85, -65, 24, -37, 13, -18, -97, 81, -8, 22 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [85, -65, 24, -37, 13, -18, -97, 81, -8, 22]

Pass 1:
  Compare 85 and -65
  Swap 85 and -65
  List after swap: [-65, 85, 24, -37, 13, -18, -97, 81, -8, 22]
  Compare 85 and 24
  Swap 85 and 24
  List after swap: [-65, 24, 85, -37, 13, -18, -97, 81, -8, 22]
  Compare 85 and -37
  Swap 85 and -37
  List after swap: [-65, 24, -37, 85, 13, -18, -97, 81, -8, 22]
  Compare 85 and 13
  Swap 85 and 13
  List after swap: [-65, 24, -37, 13, 85, -18, -97, 81, -8, 22]
  Compare 85 and -18
  Swap 85 and -18
  List after swap: [-65, 24, -37, 13, -18, 85, -97, 81, -8, 22]
  Compare 85 and -97
  Swap 85 and -97
  List after swap: [-65, 24, -37, 13, -18, -97, 85, 81, -8, 22]
  Compare 85 and 81
  Swap 85 and 81
  List after swap: [-65, 24, -37, 13, -18, -97, 81, 85, -8, 22]
  Compare 85 and -8
  Swap 85 and -8
  List after swap: [-65, 24, -37, 13, -18, -97, 81, -8, 85, 22]
  Compare 85 and 22
  Swap 85 and 22
  List after swap: [-65, 24, -37, 13, -18, -97, 81, -8, 22, 85]

Pass 2:
  Compare -65 and 24
  No swap needed
  Compare 24 and -37
  Swap 24 and -37
  List after swap: [-65, -37, 24, 13, -18, -97, 81, -8, 22, 85]
  Compare 24 and 13
  Swap 24 and 13
  List after swap: [-65, -37, 13, 24, -18, -97, 81, -8, 22, 85]
  Compare 24 and -18
  Swap 24 and -18
  List after swap: [-65, -37, 13, -18, 24, -97, 81, -8, 22, 85]
  Compare 24 and -97
  Swap 24 and -97
  List after swap: [-65, -37, 13, -18, -97, 24, 81, -8, 22, 85]
  Compare 24 and 81
  No swap needed
  Compare 81 and -8
  Swap 81 and -8
  List after swap: [-65, -37, 13, -18, -97, 24, -8, 81, 22, 85]
  Compare 81 and 22
  Swap 81 and 22
  List after swap: [-65, -37, 13, -18, -97, 24, -8, 22, 81, 85]

Pass 3:
  Compare -65 and -37
  No swap needed
  Compare -37 and 13
  No swap needed
  Compare 13 and -18
  Swap 13 and -18
  List after swap: [-65, -37, -18, 13, -97, 24, -8, 22, 81, 85]
  Compare 13 and -97
  Swap 13 and -97
  List after swap: [-65, -37, -18, -97, 13, 24, -8, 22, 81, 85]
  Compare 13 and 24
  No swap needed
  Compare 24 and -8
  Swap 24 and -8
  List after swap: [-65, -37, -18, -97, 13, -8, 24, 22, 81, 85]
  Compare 24 and 22
  Swap 24 and 22
  List after swap: [-65, -37, -18, -97, 13, -8, 22, 24, 81, 85]

Pass 4:
  Compare -65 and -37
  No swap needed
  Compare -37 and -18
  No swap needed
  Compare -18 and -97
  Swap -18 and -97
  List after swap: [-65, -37, -97, -18, 13, -8, 22, 24, 81, 85]
  Compare -18 and 13
  No swap needed
  Compare 13 and -8
  Swap 13 and -8
  List after swap: [-65, -37, -97, -18, -8, 13, 22, 24, 81, 85]
  Compare 13 and 22
  No swap needed

Pass 5:
  Compare -65 and -37
  No swap needed
  Compare -37 and -97
  Swap -37 and -97
  List after swap: [-65, -97, -37, -18, -8, 13, 22, 24, 81, 85]
  Compare -37 and -18
  No swap needed
  Compare -18 and -8
  No swap needed
  Compare -8 and 13
  No swap needed

Pass 6:
  Compare -65 and -97
  Swap -65 and -97
  List after swap: [-97, -65, -37, -18, -8, 13, 22, 24, 81, 85]
  Compare -65 and -37
  No swap needed
  Compare -37 and -18
  No swap needed
  Compare -18 and -8
  No swap needed

Pass 7:
  Compare -97 and -65
  No swap needed
  Compare -65 and -37
  No swap needed
  Compare -37 and -18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -65, -37, -18, -8, 13, 22, 24, 81, 85]
</think>

<response>-97, -65, -37, -18, -8, 13, 22, 24, 81, 85</response>


input: Using the bubble sort method, sort -93, 16 from lowest to highest and provide a step-by-step breakdown.

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

Pass 1:
  Compare -93 and 16
  No swap needed
  No swaps in this pass, list is sorted.

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

<response>-93, 16</response>


input: Arrange the numbers -23, -52, -24, -64, -60, -31, -56, 80, -74 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-23, -52, -24, -64, -60, -31, -56, 80, -74]

Pass 1:
  Compare -23 and -52
  Swap -23 and -52
  List after swap: [-52, -23, -24, -64, -60, -31, -56, 80, -74]
  Compare -23 and -24
  Swap -23 and -24
  List after swap: [-52, -24, -23, -64, -60, -31, -56, 80, -74]
  Compare -23 and -64
  Swap -23 and -64
  List after swap: [-52, -24, -64, -23, -60, -31, -56, 80, -74]
  Compare -23 and -60
  Swap -23 and -60
  List after swap: [-52, -24, -64, -60, -23, -31, -56, 80, -74]
  Compare -23 and -31
  Swap -23 and -31
  List after swap: [-52, -24, -64, -60, -31, -23, -56, 80, -74]
  Compare -23 and -56
  Swap -23 and -56
  List after swap: [-52, -24, -64, -60, -31, -56, -23, 80, -74]
  Compare -23 and 80
  No swap needed
  Compare 80 and -74
  Swap 80 and -74
  List after swap: [-52, -24, -64, -60, -31, -56, -23, -74, 80]

Pass 2:
  Compare -52 and -24
  No swap needed
  Compare -24 and -64
  Swap -24 and -64
  List after swap: [-52, -64, -24, -60, -31, -56, -23, -74, 80]
  Compare -24 and -60
  Swap -24 and -60
  List after swap: [-52, -64, -60, -24, -31, -56, -23, -74, 80]
  Compare -24 and -31
  Swap -24 and -31
  List after swap: [-52, -64, -60, -31, -24, -56, -23, -74, 80]
  Compare -24 and -56
  Swap -24 and -56
  List after swap: [-52, -64, -60, -31, -56, -24, -23, -74, 80]
  Compare -24 and -23
  No swap needed
  Compare -23 and -74
  Swap -23 and -74
  List after swap: [-52, -64, -60, -31, -56, -24, -74, -23, 80]

Pass 3:
  Compare -52 and -64
  Swap -52 and -64
  List after swap: [-64, -52, -60, -31, -56, -24, -74, -23, 80]
  Compare -52 and -60
  Swap -52 and -60
  List after swap: [-64, -60, -52, -31, -56, -24, -74, -23, 80]
  Compare -52 and -31
  No swap needed
  Compare -31 and -56
  Swap -31 and -56
  List after swap: [-64, -60, -52, -56, -31, -24, -74, -23, 80]
  Compare -31 and -24
  No swap needed
  Compare -24 and -74
  Swap -24 and -74
  List after swap: [-64, -60, -52, -56, -31, -74, -24, -23, 80]

Pass 4:
  Compare -64 and -60
  No swap needed
  Compare -60 and -52
  No swap needed
  Compare -52 and -56
  Swap -52 and -56
  List after swap: [-64, -60, -56, -52, -31, -74, -24, -23, 80]
  Compare -52 and -31
  No swap needed
  Compare -31 and -74
  Swap -31 and -74
  List after swap: [-64, -60, -56, -52, -74, -31, -24, -23, 80]

Pass 5:
  Compare -64 and -60
  No swap needed
  Compare -60 and -56
  No swap needed
  Compare -56 and -52
  No swap needed
  Compare -52 and -74
  Swap -52 and -74
  List after swap: [-64, -60, -56, -74, -52, -31, -24, -23, 80]

Pass 6:
  Compare -64 and -60
  No swap needed
  Compare -60 and -56
  No swap needed
  Compare -56 and -74
  Swap -56 and -74
  List after swap: [-64, -60, -74, -56, -52, -31, -24, -23, 80]

Pass 7:
  Compare -64 and -60
  No swap needed
  Compare -60 and -74
  Swap -60 and -74
  List after swap: [-64, -74, -60, -56, -52, -31, -24, -23, 80]

Pass 8:
  Compare -64 and -74
  Swap -64 and -74
  List after swap: [-74, -64, -60, -56, -52, -31, -24, -23, 80]

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

Final sorted list: [-74, -64, -60, -56, -52, -31, -24, -23, 80]
</think>

<response>-74, -64, -60, -56, -52, -31, -24, -23, 80</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -63, -17, -37.

output:
<think>
Initial list: [-63, -17, -37]

Pass 1:
  Compare -63 and -17
  No swap needed
  Compare -17 and -37
  Swap -17 and -37
  List after swap: [-63, -37, -17]

Pass 2:
  Compare -63 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -37, -17]
</think>

<response>-63, -37, -17</response>


input: Arrange the numbers -73, 73, -89, 13, -66, -1, -7, -22, -28, 99 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-73, 73, -89, 13, -66, -1, -7, -22, -28, 99]

Pass 1:
  Compare -73 and 73
  No swap needed
  Compare 73 and -89
  Swap 73 and -89
  List after swap: [-73, -89, 73, 13, -66, -1, -7, -22, -28, 99]
  Compare 73 and 13
  Swap 73 and 13
  List after swap: [-73, -89, 13, 73, -66, -1, -7, -22, -28, 99]
  Compare 73 and -66
  Swap 73 and -66
  List after swap: [-73, -89, 13, -66, 73, -1, -7, -22, -28, 99]
  Compare 73 and -1
  Swap 73 and -1
  List after swap: [-73, -89, 13, -66, -1, 73, -7, -22, -28, 99]
  Compare 73 and -7
  Swap 73 and -7
  List after swap: [-73, -89, 13, -66, -1, -7, 73, -22, -28, 99]
  Compare 73 and -22
  Swap 73 and -22
  List after swap: [-73, -89, 13, -66, -1, -7, -22, 73, -28, 99]
  Compare 73 and -28
  Swap 73 and -28
  List after swap: [-73, -89, 13, -66, -1, -7, -22, -28, 73, 99]
  Compare 73 and 99
  No swap needed

Pass 2:
  Compare -73 and -89
  Swap -73 and -89
  List after swap: [-89, -73, 13, -66, -1, -7, -22, -28, 73, 99]
  Compare -73 and 13
  No swap needed
  Compare 13 and -66
  Swap 13 and -66
  List after swap: [-89, -73, -66, 13, -1, -7, -22, -28, 73, 99]
  Compare 13 and -1
  Swap 13 and -1
  List after swap: [-89, -73, -66, -1, 13, -7, -22, -28, 73, 99]
  Compare 13 and -7
  Swap 13 and -7
  List after swap: [-89, -73, -66, -1, -7, 13, -22, -28, 73, 99]
  Compare 13 and -22
  Swap 13 and -22
  List after swap: [-89, -73, -66, -1, -7, -22, 13, -28, 73, 99]
  Compare 13 and -28
  Swap 13 and -28
  List after swap: [-89, -73, -66, -1, -7, -22, -28, 13, 73, 99]
  Compare 13 and 73
  No swap needed

Pass 3:
  Compare -89 and -73
  No swap needed
  Compare -73 and -66
  No swap needed
  Compare -66 and -1
  No swap needed
  Compare -1 and -7
  Swap -1 and -7
  List after swap: [-89, -73, -66, -7, -1, -22, -28, 13, 73, 99]
  Compare -1 and -22
  Swap -1 and -22
  List after swap: [-89, -73, -66, -7, -22, -1, -28, 13, 73, 99]
  Compare -1 and -28
  Swap -1 and -28
  List after swap: [-89, -73, -66, -7, -22, -28, -1, 13, 73, 99]
  Compare -1 and 13
  No swap needed

Pass 4:
  Compare -89 and -73
  No swap needed
  Compare -73 and -66
  No swap needed
  Compare -66 and -7
  No swap needed
  Compare -7 and -22
  Swap -7 and -22
  List after swap: [-89, -73, -66, -22, -7, -28, -1, 13, 73, 99]
  Compare -7 and -28
  Swap -7 and -28
  List after swap: [-89, -73, -66, -22, -28, -7, -1, 13, 73, 99]
  Compare -7 and -1
  No swap needed

Pass 5:
  Compare -89 and -73
  No swap needed
  Compare -73 and -66
  No swap needed
  Compare -66 and -22
  No swap needed
  Compare -22 and -28
  Swap -22 and -28
  List after swap: [-89, -73, -66, -28, -22, -7, -1, 13, 73, 99]
  Compare -22 and -7
  No swap needed

Pass 6:
  Compare -89 and -73
  No swap needed
  Compare -73 and -66
  No swap needed
  Compare -66 and -28
  No swap needed
  Compare -28 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -73, -66, -28, -22, -7, -1, 13, 73, 99]
</think>

<response>-89, -73, -66, -28, -22, -7, -1, 13, 73, 99</response>


input: Carry out the bubble sort algorithm on 16, -81, -93, -13 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [16, -81, -93, -13]

Pass 1:
  Compare 16 and -81
  Swap 16 and -81
  List after swap: [-81, 16, -93, -13]
  Compare 16 and -93
  Swap 16 and -93
  List after swap: [-81, -93, 16, -13]
  Compare 16 and -13
  Swap 16 and -13
  List after swap: [-81, -93, -13, 16]

Pass 2:
  Compare -81 and -93
  Swap -81 and -93
  List after swap: [-93, -81, -13, 16]
  Compare -81 and -13
  No swap needed

Pass 3:
  Compare -93 and -81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -81, -13, 16]
</think>

<response>-93, -81, -13, 16</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -19, 61, 10, -14, -56.

output:
<think>
Initial list: [-19, 61, 10, -14, -56]

Pass 1:
  Compare -19 and 61
  No swap needed
  Compare 61 and 10
  Swap 61 and 10
  List after swap: [-19, 10, 61, -14, -56]
  Compare 61 and -14
  Swap 61 and -14
  List after swap: [-19, 10, -14, 61, -56]
  Compare 61 and -56
  Swap 61 and -56
  List after swap: [-19, 10, -14, -56, 61]

Pass 2:
  Compare -19 and 10
  No swap needed
  Compare 10 and -14
  Swap 10 and -14
  List after swap: [-19, -14, 10, -56, 61]
  Compare 10 and -56
  Swap 10 and -56
  List after swap: [-19, -14, -56, 10, 61]

Pass 3:
  Compare -19 and -14
  No swap needed
  Compare -14 and -56
  Swap -14 and -56
  List after swap: [-19, -56, -14, 10, 61]

Pass 4:
  Compare -19 and -56
  Swap -19 and -56
  List after swap: [-56, -19, -14, 10, 61]

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

Final sorted list: [-56, -19, -14, 10, 61]
</think>

<response>-56, -19, -14, 10, 61</response>


input: Use the bubble sort technique to reorder -42, 95, 74, 4, -37, 36, 38, -50, 82 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-42, 95, 74, 4, -37, 36, 38, -50, 82]

Pass 1:
  Compare -42 and 95
  No swap needed
  Compare 95 and 74
  Swap 95 and 74
  List after swap: [-42, 74, 95, 4, -37, 36, 38, -50, 82]
  Compare 95 and 4
  Swap 95 and 4
  List after swap: [-42, 74, 4, 95, -37, 36, 38, -50, 82]
  Compare 95 and -37
  Swap 95 and -37
  List after swap: [-42, 74, 4, -37, 95, 36, 38, -50, 82]
  Compare 95 and 36
  Swap 95 and 36
  List after swap: [-42, 74, 4, -37, 36, 95, 38, -50, 82]
  Compare 95 and 38
  Swap 95 and 38
  List after swap: [-42, 74, 4, -37, 36, 38, 95, -50, 82]
  Compare 95 and -50
  Swap 95 and -50
  List after swap: [-42, 74, 4, -37, 36, 38, -50, 95, 82]
  Compare 95 and 82
  Swap 95 and 82
  List after swap: [-42, 74, 4, -37, 36, 38, -50, 82, 95]

Pass 2:
  Compare -42 and 74
  No swap needed
  Compare 74 and 4
  Swap 74 and 4
  List after swap: [-42, 4, 74, -37, 36, 38, -50, 82, 95]
  Compare 74 and -37
  Swap 74 and -37
  List after swap: [-42, 4, -37, 74, 36, 38, -50, 82, 95]
  Compare 74 and 36
  Swap 74 and 36
  List after swap: [-42, 4, -37, 36, 74, 38, -50, 82, 95]
  Compare 74 and 38
  Swap 74 and 38
  List after swap: [-42, 4, -37, 36, 38, 74, -50, 82, 95]
  Compare 74 and -50
  Swap 74 and -50
  List after swap: [-42, 4, -37, 36, 38, -50, 74, 82, 95]
  Compare 74 and 82
  No swap needed

Pass 3:
  Compare -42 and 4
  No swap needed
  Compare 4 and -37
  Swap 4 and -37
  List after swap: [-42, -37, 4, 36, 38, -50, 74, 82, 95]
  Compare 4 and 36
  No swap needed
  Compare 36 and 38
  No swap needed
  Compare 38 and -50
  Swap 38 and -50
  List after swap: [-42, -37, 4, 36, -50, 38, 74, 82, 95]
  Compare 38 and 74
  No swap needed

Pass 4:
  Compare -42 and -37
  No swap needed
  Compare -37 and 4
  No swap needed
  Compare 4 and 36
  No swap needed
  Compare 36 and -50
  Swap 36 and -50
  List after swap: [-42, -37, 4, -50, 36, 38, 74, 82, 95]
  Compare 36 and 38
  No swap needed

Pass 5:
  Compare -42 and -37
  No swap needed
  Compare -37 and 4
  No swap needed
  Compare 4 and -50
  Swap 4 and -50
  List after swap: [-42, -37, -50, 4, 36, 38, 74, 82, 95]
  Compare 4 and 36
  No swap needed

Pass 6:
  Compare -42 and -37
  No swap needed
  Compare -37 and -50
  Swap -37 and -50
  List after swap: [-42, -50, -37, 4, 36, 38, 74, 82, 95]
  Compare -37 and 4
  No swap needed

Pass 7:
  Compare -42 and -50
  Swap -42 and -50
  List after swap: [-50, -42, -37, 4, 36, 38, 74, 82, 95]
  Compare -42 and -37
  No swap needed

Pass 8:
  Compare -50 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, -42, -37, 4, 36, 38, 74, 82, 95]
</think>

<response>-50, -42, -37, 4, 36, 38, 74, 82, 95</response>


input: Use the bubble sort technique to reorder -71, -45 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-71, -45]

Pass 1:
  Compare -71 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -45]
</think>

<response>-71, -45</response>


input: Using the bubble sort method, sort -22, -15, 66, -23, -19, 15, 22, -84 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-22, -15, 66, -23, -19, 15, 22, -84]

Pass 1:
  Compare -22 and -15
  No swap needed
  Compare -15 and 66
  No swap needed
  Compare 66 and -23
  Swap 66 and -23
  List after swap: [-22, -15, -23, 66, -19, 15, 22, -84]
  Compare 66 and -19
  Swap 66 and -19
  List after swap: [-22, -15, -23, -19, 66, 15, 22, -84]
  Compare 66 and 15
  Swap 66 and 15
  List after swap: [-22, -15, -23, -19, 15, 66, 22, -84]
  Compare 66 and 22
  Swap 66 and 22
  List after swap: [-22, -15, -23, -19, 15, 22, 66, -84]
  Compare 66 and -84
  Swap 66 and -84
  List after swap: [-22, -15, -23, -19, 15, 22, -84, 66]

Pass 2:
  Compare -22 and -15
  No swap needed
  Compare -15 and -23
  Swap -15 and -23
  List after swap: [-22, -23, -15, -19, 15, 22, -84, 66]
  Compare -15 and -19
  Swap -15 and -19
  List after swap: [-22, -23, -19, -15, 15, 22, -84, 66]
  Compare -15 and 15
  No swap needed
  Compare 15 and 22
  No swap needed
  Compare 22 and -84
  Swap 22 and -84
  List after swap: [-22, -23, -19, -15, 15, -84, 22, 66]

Pass 3:
  Compare -22 and -23
  Swap -22 and -23
  List after swap: [-23, -22, -19, -15, 15, -84, 22, 66]
  Compare -22 and -19
  No swap needed
  Compare -19 and -15
  No swap needed
  Compare -15 and 15
  No swap needed
  Compare 15 and -84
  Swap 15 and -84
  List after swap: [-23, -22, -19, -15, -84, 15, 22, 66]

Pass 4:
  Compare -23 and -22
  No swap needed
  Compare -22 and -19
  No swap needed
  Compare -19 and -15
  No swap needed
  Compare -15 and -84
  Swap -15 and -84
  List after swap: [-23, -22, -19, -84, -15, 15, 22, 66]

Pass 5:
  Compare -23 and -22
  No swap needed
  Compare -22 and -19
  No swap needed
  Compare -19 and -84
  Swap -19 and -84
  List after swap: [-23, -22, -84, -19, -15, 15, 22, 66]

Pass 6:
  Compare -23 and -22
  No swap needed
  Compare -22 and -84
  Swap -22 and -84
  List after swap: [-23, -84, -22, -19, -15, 15, 22, 66]

Pass 7:
  Compare -23 and -84
  Swap -23 and -84
  List after swap: [-84, -23, -22, -19, -15, 15, 22, 66]

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

Final sorted list: [-84, -23, -22, -19, -15, 15, 22, 66]
</think>

<response>-84, -23, -22, -19, -15, 15, 22, 66</response>


input: Arrange the numbers -16, 77, 62, -54, -72, -58, -97, 52, 28 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-16, 77, 62, -54, -72, -58, -97, 52, 28]

Pass 1:
  Compare -16 and 77
  No swap needed
  Compare 77 and 62
  Swap 77 and 62
  List after swap: [-16, 62, 77, -54, -72, -58, -97, 52, 28]
  Compare 77 and -54
  Swap 77 and -54
  List after swap: [-16, 62, -54, 77, -72, -58, -97, 52, 28]
  Compare 77 and -72
  Swap 77 and -72
  List after swap: [-16, 62, -54, -72, 77, -58, -97, 52, 28]
  Compare 77 and -58
  Swap 77 and -58
  List after swap: [-16, 62, -54, -72, -58, 77, -97, 52, 28]
  Compare 77 and -97
  Swap 77 and -97
  List after swap: [-16, 62, -54, -72, -58, -97, 77, 52, 28]
  Compare 77 and 52
  Swap 77 and 52
  List after swap: [-16, 62, -54, -72, -58, -97, 52, 77, 28]
  Compare 77 and 28
  Swap 77 and 28
  List after swap: [-16, 62, -54, -72, -58, -97, 52, 28, 77]

Pass 2:
  Compare -16 and 62
  No swap needed
  Compare 62 and -54
  Swap 62 and -54
  List after swap: [-16, -54, 62, -72, -58, -97, 52, 28, 77]
  Compare 62 and -72
  Swap 62 and -72
  List after swap: [-16, -54, -72, 62, -58, -97, 52, 28, 77]
  Compare 62 and -58
  Swap 62 and -58
  List after swap: [-16, -54, -72, -58, 62, -97, 52, 28, 77]
  Compare 62 and -97
  Swap 62 and -97
  List after swap: [-16, -54, -72, -58, -97, 62, 52, 28, 77]
  Compare 62 and 52
  Swap 62 and 52
  List after swap: [-16, -54, -72, -58, -97, 52, 62, 28, 77]
  Compare 62 and 28
  Swap 62 and 28
  List after swap: [-16, -54, -72, -58, -97, 52, 28, 62, 77]

Pass 3:
  Compare -16 and -54
  Swap -16 and -54
  List after swap: [-54, -16, -72, -58, -97, 52, 28, 62, 77]
  Compare -16 and -72
  Swap -16 and -72
  List after swap: [-54, -72, -16, -58, -97, 52, 28, 62, 77]
  Compare -16 and -58
  Swap -16 and -58
  List after swap: [-54, -72, -58, -16, -97, 52, 28, 62, 77]
  Compare -16 and -97
  Swap -16 and -97
  List after swap: [-54, -72, -58, -97, -16, 52, 28, 62, 77]
  Compare -16 and 52
  No swap needed
  Compare 52 and 28
  Swap 52 and 28
  List after swap: [-54, -72, -58, -97, -16, 28, 52, 62, 77]

Pass 4:
  Compare -54 and -72
  Swap -54 and -72
  List after swap: [-72, -54, -58, -97, -16, 28, 52, 62, 77]
  Compare -54 and -58
  Swap -54 and -58
  List after swap: [-72, -58, -54, -97, -16, 28, 52, 62, 77]
  Compare -54 and -97
  Swap -54 and -97
  List after swap: [-72, -58, -97, -54, -16, 28, 52, 62, 77]
  Compare -54 and -16
  No swap needed
  Compare -16 and 28
  No swap needed

Pass 5:
  Compare -72 and -58
  No swap needed
  Compare -58 and -97
  Swap -58 and -97
  List after swap: [-72, -97, -58, -54, -16, 28, 52, 62, 77]
  Compare -58 and -54
  No swap needed
  Compare -54 and -16
  No swap needed

Pass 6:
  Compare -72 and -97
  Swap -72 and -97
  List after swap: [-97, -72, -58, -54, -16, 28, 52, 62, 77]
  Compare -72 and -58
  No swap needed
  Compare -58 and -54
  No swap needed

Pass 7:
  Compare -97 and -72
  No swap needed
  Compare -72 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -72, -58, -54, -16, 28, 52, 62, 77]
</think>

<response>-97, -72, -58, -54, -16, 28, 52, 62, 77</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -21, -56, 2, 56.

output:
<think>
Initial list: [-21, -56, 2, 56]

Pass 1:
  Compare -21 and -56
  Swap -21 and -56
  List after swap: [-56, -21, 2, 56]
  Compare -21 and 2
  No swap needed
  Compare 2 and 56
  No swap needed

Pass 2:
  Compare -56 and -21
  No swap needed
  Compare -21 and 2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -21, 2, 56]
</think>

<response>-56, -21, 2, 56</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -6, 18, 75, 1, -93, 30, -67, -98, 22.

output:
<think>
Initial list: [-6, 18, 75, 1, -93, 30, -67, -98, 22]

Pass 1:
  Compare -6 and 18
  No swap needed
  Compare 18 and 75
  No swap needed
  Compare 75 and 1
  Swap 75 and 1
  List after swap: [-6, 18, 1, 75, -93, 30, -67, -98, 22]
  Compare 75 and -93
  Swap 75 and -93
  List after swap: [-6, 18, 1, -93, 75, 30, -67, -98, 22]
  Compare 75 and 30
  Swap 75 and 30
  List after swap: [-6, 18, 1, -93, 30, 75, -67, -98, 22]
  Compare 75 and -67
  Swap 75 and -67
  List after swap: [-6, 18, 1, -93, 30, -67, 75, -98, 22]
  Compare 75 and -98
  Swap 75 and -98
  List after swap: [-6, 18, 1, -93, 30, -67, -98, 75, 22]
  Compare 75 and 22
  Swap 75 and 22
  List after swap: [-6, 18, 1, -93, 30, -67, -98, 22, 75]

Pass 2:
  Compare -6 and 18
  No swap needed
  Compare 18 and 1
  Swap 18 and 1
  List after swap: [-6, 1, 18, -93, 30, -67, -98, 22, 75]
  Compare 18 and -93
  Swap 18 and -93
  List after swap: [-6, 1, -93, 18, 30, -67, -98, 22, 75]
  Compare 18 and 30
  No swap needed
  Compare 30 and -67
  Swap 30 and -67
  List after swap: [-6, 1, -93, 18, -67, 30, -98, 22, 75]
  Compare 30 and -98
  Swap 30 and -98
  List after swap: [-6, 1, -93, 18, -67, -98, 30, 22, 75]
  Compare 30 and 22
  Swap 30 and 22
  List after swap: [-6, 1, -93, 18, -67, -98, 22, 30, 75]

Pass 3:
  Compare -6 and 1
  No swap needed
  Compare 1 and -93
  Swap 1 and -93
  List after swap: [-6, -93, 1, 18, -67, -98, 22, 30, 75]
  Compare 1 and 18
  No swap needed
  Compare 18 and -67
  Swap 18 and -67
  List after swap: [-6, -93, 1, -67, 18, -98, 22, 30, 75]
  Compare 18 and -98
  Swap 18 and -98
  List after swap: [-6, -93, 1, -67, -98, 18, 22, 30, 75]
  Compare 18 and 22
  No swap needed

Pass 4:
  Compare -6 and -93
  Swap -6 and -93
  List after swap: [-93, -6, 1, -67, -98, 18, 22, 30, 75]
  Compare -6 and 1
  No swap needed
  Compare 1 and -67
  Swap 1 and -67
  List after swap: [-93, -6, -67, 1, -98, 18, 22, 30, 75]
  Compare 1 and -98
  Swap 1 and -98
  List after swap: [-93, -6, -67, -98, 1, 18, 22, 30, 75]
  Compare 1 and 18
  No swap needed

Pass 5:
  Compare -93 and -6
  No swap needed
  Compare -6 and -67
  Swap -6 and -67
  List after swap: [-93, -67, -6, -98, 1, 18, 22, 30, 75]
  Compare -6 and -98
  Swap -6 and -98
  List after swap: [-93, -67, -98, -6, 1, 18, 22, 30, 75]
  Compare -6 and 1
  No swap needed

Pass 6:
  Compare -93 and -67
  No swap needed
  Compare -67 and -98
  Swap -67 and -98
  List after swap: [-93, -98, -67, -6, 1, 18, 22, 30, 75]
  Compare -67 and -6
  No swap needed

Pass 7:
  Compare -93 and -98
  Swap -93 and -98
  List after swap: [-98, -93, -67, -6, 1, 18, 22, 30, 75]
  Compare -93 and -67
  No swap needed

Pass 8:
  Compare -98 and -93
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -93, -67, -6, 1, 18, 22, 30, 75]
</think>

<response>-98, -93, -67, -6, 1, 18, 22, 30, 75</response>


input: Demonstrate how bubble sort orders the integers 50, -67 in ascending sequence, showing all steps.

output:
<think>
Initial list: [50, -67]

Pass 1:
  Compare 50 and -67
  Swap 50 and -67
  List after swap: [-67, 50]

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

Final sorted list: [-67, 50]
</think>

<response>-67, 50</response>


input: Sort the list -32, -64, -52, 98, 43, -16, -65, -34 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-32, -64, -52, 98, 43, -16, -65, -34]

Pass 1:
  Compare -32 and -64
  Swap -32 and -64
  List after swap: [-64, -32, -52, 98, 43, -16, -65, -34]
  Compare -32 and -52
  Swap -32 and -52
  List after swap: [-64, -52, -32, 98, 43, -16, -65, -34]
  Compare -32 and 98
  No swap needed
  Compare 98 and 43
  Swap 98 and 43
  List after swap: [-64, -52, -32, 43, 98, -16, -65, -34]
  Compare 98 and -16
  Swap 98 and -16
  List after swap: [-64, -52, -32, 43, -16, 98, -65, -34]
  Compare 98 and -65
  Swap 98 and -65
  List after swap: [-64, -52, -32, 43, -16, -65, 98, -34]
  Compare 98 and -34
  Swap 98 and -34
  List after swap: [-64, -52, -32, 43, -16, -65, -34, 98]

Pass 2:
  Compare -64 and -52
  No swap needed
  Compare -52 and -32
  No swap needed
  Compare -32 and 43
  No swap needed
  Compare 43 and -16
  Swap 43 and -16
  List after swap: [-64, -52, -32, -16, 43, -65, -34, 98]
  Compare 43 and -65
  Swap 43 and -65
  List after swap: [-64, -52, -32, -16, -65, 43, -34, 98]
  Compare 43 and -34
  Swap 43 and -34
  List after swap: [-64, -52, -32, -16, -65, -34, 43, 98]

Pass 3:
  Compare -64 and -52
  No swap needed
  Compare -52 and -32
  No swap needed
  Compare -32 and -16
  No swap needed
  Compare -16 and -65
  Swap -16 and -65
  List after swap: [-64, -52, -32, -65, -16, -34, 43, 98]
  Compare -16 and -34
  Swap -16 and -34
  List after swap: [-64, -52, -32, -65, -34, -16, 43, 98]

Pass 4:
  Compare -64 and -52
  No swap needed
  Compare -52 and -32
  No swap needed
  Compare -32 and -65
  Swap -32 and -65
  List after swap: [-64, -52, -65, -32, -34, -16, 43, 98]
  Compare -32 and -34
  Swap -32 and -34
  List after swap: [-64, -52, -65, -34, -32, -16, 43, 98]

Pass 5:
  Compare -64 and -52
  No swap needed
  Compare -52 and -65
  Swap -52 and -65
  List after swap: [-64, -65, -52, -34, -32, -16, 43, 98]
  Compare -52 and -34
  No swap needed

Pass 6:
  Compare -64 and -65
  Swap -64 and -65
  List after swap: [-65, -64, -52, -34, -32, -16, 43, 98]
  Compare -64 and -52
  No swap needed

Pass 7:
  Compare -65 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -64, -52, -34, -32, -16, 43, 98]
</think>

<response>-65, -64, -52, -34, -32, -16, 43, 98</response>


input: Sort the list -70, 1, 5, -21, -66, -40 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-70, 1, 5, -21, -66, -40]

Pass 1:
  Compare -70 and 1
  No swap needed
  Compare 1 and 5
  No swap needed
  Compare 5 and -21
  Swap 5 and -21
  List after swap: [-70, 1, -21, 5, -66, -40]
  Compare 5 and -66
  Swap 5 and -66
  List after swap: [-70, 1, -21, -66, 5, -40]
  Compare 5 and -40
  Swap 5 and -40
  List after swap: [-70, 1, -21, -66, -40, 5]

Pass 2:
  Compare -70 and 1
  No swap needed
  Compare 1 and -21
  Swap 1 and -21
  List after swap: [-70, -21, 1, -66, -40, 5]
  Compare 1 and -66
  Swap 1 and -66
  List after swap: [-70, -21, -66, 1, -40, 5]
  Compare 1 and -40
  Swap 1 and -40
  List after swap: [-70, -21, -66, -40, 1, 5]

Pass 3:
  Compare -70 and -21
  No swap needed
  Compare -21 and -66
  Swap -21 and -66
  List after swap: [-70, -66, -21, -40, 1, 5]
  Compare -21 and -40
  Swap -21 and -40
  List after swap: [-70, -66, -40, -21, 1, 5]

Pass 4:
  Compare -70 and -66
  No swap needed
  Compare -66 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -66, -40, -21, 1, 5]
</think>

<response>-70, -66, -40, -21, 1, 5</response>


input: Execute bubble sort to sort 8, 35, 51, -72, -95, 88, 42, 9, 41 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [8, 35, 51, -72, -95, 88, 42, 9, 41]

Pass 1:
  Compare 8 and 35
  No swap needed
  Compare 35 and 51
  No swap needed
  Compare 51 and -72
  Swap 51 and -72
  List after swap: [8, 35, -72, 51, -95, 88, 42, 9, 41]
  Compare 51 and -95
  Swap 51 and -95
  List after swap: [8, 35, -72, -95, 51, 88, 42, 9, 41]
  Compare 51 and 88
  No swap needed
  Compare 88 and 42
  Swap 88 and 42
  List after swap: [8, 35, -72, -95, 51, 42, 88, 9, 41]
  Compare 88 and 9
  Swap 88 and 9
  List after swap: [8, 35, -72, -95, 51, 42, 9, 88, 41]
  Compare 88 and 41
  Swap 88 and 41
  List after swap: [8, 35, -72, -95, 51, 42, 9, 41, 88]

Pass 2:
  Compare 8 and 35
  No swap needed
  Compare 35 and -72
  Swap 35 and -72
  List after swap: [8, -72, 35, -95, 51, 42, 9, 41, 88]
  Compare 35 and -95
  Swap 35 and -95
  List after swap: [8, -72, -95, 35, 51, 42, 9, 41, 88]
  Compare 35 and 51
  No swap needed
  Compare 51 and 42
  Swap 51 and 42
  List after swap: [8, -72, -95, 35, 42, 51, 9, 41, 88]
  Compare 51 and 9
  Swap 51 and 9
  List after swap: [8, -72, -95, 35, 42, 9, 51, 41, 88]
  Compare 51 and 41
  Swap 51 and 41
  List after swap: [8, -72, -95, 35, 42, 9, 41, 51, 88]

Pass 3:
  Compare 8 and -72
  Swap 8 and -72
  List after swap: [-72, 8, -95, 35, 42, 9, 41, 51, 88]
  Compare 8 and -95
  Swap 8 and -95
  List after swap: [-72, -95, 8, 35, 42, 9, 41, 51, 88]
  Compare 8 and 35
  No swap needed
  Compare 35 and 42
  No swap needed
  Compare 42 and 9
  Swap 42 and 9
  List after swap: [-72, -95, 8, 35, 9, 42, 41, 51, 88]
  Compare 42 and 41
  Swap 42 and 41
  List after swap: [-72, -95, 8, 35, 9, 41, 42, 51, 88]

Pass 4:
  Compare -72 and -95
  Swap -72 and -95
  List after swap: [-95, -72, 8, 35, 9, 41, 42, 51, 88]
  Compare -72 and 8
  No swap needed
  Compare 8 and 35
  No swap needed
  Compare 35 and 9
  Swap 35 and 9
  List after swap: [-95, -72, 8, 9, 35, 41, 42, 51, 88]
  Compare 35 and 41
  No swap needed

Pass 5:
  Compare -95 and -72
  No swap needed
  Compare -72 and 8
  No swap needed
  Compare 8 and 9
  No swap needed
  Compare 9 and 35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -72, 8, 9, 35, 41, 42, 51, 88]
</think>

<response>-95, -72, 8, 9, 35, 41, 42, 51, 88</response>


input: Carry out the bubble sort algorithm on -40, -43, -94, -76, -38 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-40, -43, -94, -76, -38]

Pass 1:
  Compare -40 and -43
  Swap -40 and -43
  List after swap: [-43, -40, -94, -76, -38]
  Compare -40 and -94
  Swap -40 and -94
  List after swap: [-43, -94, -40, -76, -38]
  Compare -40 and -76
  Swap -40 and -76
  List after swap: [-43, -94, -76, -40, -38]
  Compare -40 and -38
  No swap needed

Pass 2:
  Compare -43 and -94
  Swap -43 and -94
  List after swap: [-94, -43, -76, -40, -38]
  Compare -43 and -76
  Swap -43 and -76
  List after swap: [-94, -76, -43, -40, -38]
  Compare -43 and -40
  No swap needed

Pass 3:
  Compare -94 and -76
  No swap needed
  Compare -76 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -76, -43, -40, -38]
</think>

<response>-94, -76, -43, -40, -38</response>


input: Sort the list 49, 83, -60, -53, 25, -57, -1 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [49, 83, -60, -53, 25, -57, -1]

Pass 1:
  Compare 49 and 83
  No swap needed
  Compare 83 and -60
  Swap 83 and -60
  List after swap: [49, -60, 83, -53, 25, -57, -1]
  Compare 83 and -53
  Swap 83 and -53
  List after swap: [49, -60, -53, 83, 25, -57, -1]
  Compare 83 and 25
  Swap 83 and 25
  List after swap: [49, -60, -53, 25, 83, -57, -1]
  Compare 83 and -57
  Swap 83 and -57
  List after swap: [49, -60, -53, 25, -57, 83, -1]
  Compare 83 and -1
  Swap 83 and -1
  List after swap: [49, -60, -53, 25, -57, -1, 83]

Pass 2:
  Compare 49 and -60
  Swap 49 and -60
  List after swap: [-60, 49, -53, 25, -57, -1, 83]
  Compare 49 and -53
  Swap 49 and -53
  List after swap: [-60, -53, 49, 25, -57, -1, 83]
  Compare 49 and 25
  Swap 49 and 25
  List after swap: [-60, -53, 25, 49, -57, -1, 83]
  Compare 49 and -57
  Swap 49 and -57
  List after swap: [-60, -53, 25, -57, 49, -1, 83]
  Compare 49 and -1
  Swap 49 and -1
  List after swap: [-60, -53, 25, -57, -1, 49, 83]

Pass 3:
  Compare -60 and -53
  No swap needed
  Compare -53 and 25
  No swap needed
  Compare 25 and -57
  Swap 25 and -57
  List after swap: [-60, -53, -57, 25, -1, 49, 83]
  Compare 25 and -1
  Swap 25 and -1
  List after swap: [-60, -53, -57, -1, 25, 49, 83]

Pass 4:
  Compare -60 and -53
  No swap needed
  Compare -53 and -57
  Swap -53 and -57
  List after swap: [-60, -57, -53, -1, 25, 49, 83]
  Compare -53 and -1
  No swap needed

Pass 5:
  Compare -60 and -57
  No swap needed
  Compare -57 and -53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -57, -53, -1, 25, 49, 83]
</think>

<response>-60, -57, -53, -1, 25, 49, 83</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -84, -16, -54, 28, -75.

output:
<think>
Initial list: [-84, -16, -54, 28, -75]

Pass 1:
  Compare -84 and -16
  No swap needed
  Compare -16 and -54
  Swap -16 and -54
  List after swap: [-84, -54, -16, 28, -75]
  Compare -16 and 28
  No swap needed
  Compare 28 and -75
  Swap 28 and -75
  List after swap: [-84, -54, -16, -75, 28]

Pass 2:
  Compare -84 and -54
  No swap needed
  Compare -54 and -16
  No swap needed
  Compare -16 and -75
  Swap -16 and -75
  List after swap: [-84, -54, -75, -16, 28]

Pass 3:
  Compare -84 and -54
  No swap needed
  Compare -54 and -75
  Swap -54 and -75
  List after swap: [-84, -75, -54, -16, 28]

Pass 4:
  Compare -84 and -75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -75, -54, -16, 28]
</think>

<response>-84, -75, -54, -16, 28</response>


input: Execute bubble sort to sort -46, 40, -3, -90, -31 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-46, 40, -3, -90, -31]

Pass 1:
  Compare -46 and 40
  No swap needed
  Compare 40 and -3
  Swap 40 and -3
  List after swap: [-46, -3, 40, -90, -31]
  Compare 40 and -90
  Swap 40 and -90
  List after swap: [-46, -3, -90, 40, -31]
  Compare 40 and -31
  Swap 40 and -31
  List after swap: [-46, -3, -90, -31, 40]

Pass 2:
  Compare -46 and -3
  No swap needed
  Compare -3 and -90
  Swap -3 and -90
  List after swap: [-46, -90, -3, -31, 40]
  Compare -3 and -31
  Swap -3 and -31
  List after swap: [-46, -90, -31, -3, 40]

Pass 3:
  Compare -46 and -90
  Swap -46 and -90
  List after swap: [-90, -46, -31, -3, 40]
  Compare -46 and -31
  No swap needed

Pass 4:
  Compare -90 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -46, -31, -3, 40]
</think>

<response>-90, -46, -31, -3, 40</response>


input: Demonstrate how bubble sort orders the integers 87, 0, 58, 93, -71, -83, -50 in ascending sequence, showing all steps.

output:
<think>
Initial list: [87, 0, 58, 93, -71, -83, -50]

Pass 1:
  Compare 87 and 0
  Swap 87 and 0
  List after swap: [0, 87, 58, 93, -71, -83, -50]
  Compare 87 and 58
  Swap 87 and 58
  List after swap: [0, 58, 87, 93, -71, -83, -50]
  Compare 87 and 93
  No swap needed
  Compare 93 and -71
  Swap 93 and -71
  List after swap: [0, 58, 87, -71, 93, -83, -50]
  Compare 93 and -83
  Swap 93 and -83
  List after swap: [0, 58, 87, -71, -83, 93, -50]
  Compare 93 and -50
  Swap 93 and -50
  List after swap: [0, 58, 87, -71, -83, -50, 93]

Pass 2:
  Compare 0 and 58
  No swap needed
  Compare 58 and 87
  No swap needed
  Compare 87 and -71
  Swap 87 and -71
  List after swap: [0, 58, -71, 87, -83, -50, 93]
  Compare 87 and -83
  Swap 87 and -83
  List after swap: [0, 58, -71, -83, 87, -50, 93]
  Compare 87 and -50
  Swap 87 and -50
  List after swap: [0, 58, -71, -83, -50, 87, 93]

Pass 3:
  Compare 0 and 58
  No swap needed
  Compare 58 and -71
  Swap 58 and -71
  List after swap: [0, -71, 58, -83, -50, 87, 93]
  Compare 58 and -83
  Swap 58 and -83
  List after swap: [0, -71, -83, 58, -50, 87, 93]
  Compare 58 and -50
  Swap 58 and -50
  List after swap: [0, -71, -83, -50, 58, 87, 93]

Pass 4:
  Compare 0 and -71
  Swap 0 and -71
  List after swap: [-71, 0, -83, -50, 58, 87, 93]
  Compare 0 and -83
  Swap 0 and -83
  List after swap: [-71, -83, 0, -50, 58, 87, 93]
  Compare 0 and -50
  Swap 0 and -50
  List after swap: [-71, -83, -50, 0, 58, 87, 93]

Pass 5:
  Compare -71 and -83
  Swap -71 and -83
  List after swap: [-83, -71, -50, 0, 58, 87, 93]
  Compare -71 and -50
  No swap needed

Pass 6:
  Compare -83 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -71, -50, 0, 58, 87, 93]
</think>

<response>-83, -71, -50, 0, 58, 87, 93</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -83, -20.

output:
<think>
Initial list: [-83, -20]

Pass 1:
  Compare -83 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -20]
</think>

<response>-83, -20</response>


input: Sort the list -94, 95, 50, -64, 35 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-94, 95, 50, -64, 35]

Pass 1:
  Compare -94 and 95
  No swap needed
  Compare 95 and 50
  Swap 95 and 50
  List after swap: [-94, 50, 95, -64, 35]
  Compare 95 and -64
  Swap 95 and -64
  List after swap: [-94, 50, -64, 95, 35]
  Compare 95 and 35
  Swap 95 and 35
  List after swap: [-94, 50, -64, 35, 95]

Pass 2:
  Compare -94 and 50
  No swap needed
  Compare 50 and -64
  Swap 50 and -64
  List after swap: [-94, -64, 50, 35, 95]
  Compare 50 and 35
  Swap 50 and 35
  List after swap: [-94, -64, 35, 50, 95]

Pass 3:
  Compare -94 and -64
  No swap needed
  Compare -64 and 35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -64, 35, 50, 95]
</think>

<response>-94, -64, 35, 50, 95</response>


input: Sort the list -36, -83, -76, -82, 13, -15, -87, 76 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-36, -83, -76, -82, 13, -15, -87, 76]

Pass 1:
  Compare -36 and -83
  Swap -36 and -83
  List after swap: [-83, -36, -76, -82, 13, -15, -87, 76]
  Compare -36 and -76
  Swap -36 and -76
  List after swap: [-83, -76, -36, -82, 13, -15, -87, 76]
  Compare -36 and -82
  Swap -36 and -82
  List after swap: [-83, -76, -82, -36, 13, -15, -87, 76]
  Compare -36 and 13
  No swap needed
  Compare 13 and -15
  Swap 13 and -15
  List after swap: [-83, -76, -82, -36, -15, 13, -87, 76]
  Compare 13 and -87
  Swap 13 and -87
  List after swap: [-83, -76, -82, -36, -15, -87, 13, 76]
  Compare 13 and 76
  No swap needed

Pass 2:
  Compare -83 and -76
  No swap needed
  Compare -76 and -82
  Swap -76 and -82
  List after swap: [-83, -82, -76, -36, -15, -87, 13, 76]
  Compare -76 and -36
  No swap needed
  Compare -36 and -15
  No swap needed
  Compare -15 and -87
  Swap -15 and -87
  List after swap: [-83, -82, -76, -36, -87, -15, 13, 76]
  Compare -15 and 13
  No swap needed

Pass 3:
  Compare -83 and -82
  No swap needed
  Compare -82 and -76
  No swap needed
  Compare -76 and -36
  No swap needed
  Compare -36 and -87
  Swap -36 and -87
  List after swap: [-83, -82, -76, -87, -36, -15, 13, 76]
  Compare -36 and -15
  No swap needed

Pass 4:
  Compare -83 and -82
  No swap needed
  Compare -82 and -76
  No swap needed
  Compare -76 and -87
  Swap -76 and -87
  List after swap: [-83, -82, -87, -76, -36, -15, 13, 76]
  Compare -76 and -36
  No swap needed

Pass 5:
  Compare -83 and -82
  No swap needed
  Compare -82 and -87
  Swap -82 and -87
  List after swap: [-83, -87, -82, -76, -36, -15, 13, 76]
  Compare -82 and -76
  No swap needed

Pass 6:
  Compare -83 and -87
  Swap -83 and -87
  List after swap: [-87, -83, -82, -76, -36, -15, 13, 76]
  Compare -83 and -82
  No swap needed

Pass 7:
  Compare -87 and -83
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -83, -82, -76, -36, -15, 13, 76]
</think>

<response>-87, -83, -82, -76, -36, -15, 13, 76</response>


input: Using the bubble sort method, sort 21, 51, -39, 32 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [21, 51, -39, 32]

Pass 1:
  Compare 21 and 51
  No swap needed
  Compare 51 and -39
  Swap 51 and -39
  List after swap: [21, -39, 51, 32]
  Compare 51 and 32
  Swap 51 and 32
  List after swap: [21, -39, 32, 51]

Pass 2:
  Compare 21 and -39
  Swap 21 and -39
  List after swap: [-39, 21, 32, 51]
  Compare 21 and 32
  No swap needed

Pass 3:
  Compare -39 and 21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-39, 21, 32, 51]
</think>

<response>-39, 21, 32, 51</response>


input: Execute bubble sort to sort 54, -8, -72, 24, -67, 37 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [54, -8, -72, 24, -67, 37]

Pass 1:
  Compare 54 and -8
  Swap 54 and -8
  List after swap: [-8, 54, -72, 24, -67, 37]
  Compare 54 and -72
  Swap 54 and -72
  List after swap: [-8, -72, 54, 24, -67, 37]
  Compare 54 and 24
  Swap 54 and 24
  List after swap: [-8, -72, 24, 54, -67, 37]
  Compare 54 and -67
  Swap 54 and -67
  List after swap: [-8, -72, 24, -67, 54, 37]
  Compare 54 and 37
  Swap 54 and 37
  List after swap: [-8, -72, 24, -67, 37, 54]

Pass 2:
  Compare -8 and -72
  Swap -8 and -72
  List after swap: [-72, -8, 24, -67, 37, 54]
  Compare -8 and 24
  No swap needed
  Compare 24 and -67
  Swap 24 and -67
  List after swap: [-72, -8, -67, 24, 37, 54]
  Compare 24 and 37
  No swap needed

Pass 3:
  Compare -72 and -8
  No swap needed
  Compare -8 and -67
  Swap -8 and -67
  List after swap: [-72, -67, -8, 24, 37, 54]
  Compare -8 and 24
  No swap needed

Pass 4:
  Compare -72 and -67
  No swap needed
  Compare -67 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -67, -8, 24, 37, 54]
</think>

<response>-72, -67, -8, 24, 37, 54</response>


input: Sort the list 81, 50, 52, 45, -60, 58 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [81, 50, 52, 45, -60, 58]

Pass 1:
  Compare 81 and 50
  Swap 81 and 50
  List after swap: [50, 81, 52, 45, -60, 58]
  Compare 81 and 52
  Swap 81 and 52
  List after swap: [50, 52, 81, 45, -60, 58]
  Compare 81 and 45
  Swap 81 and 45
  List after swap: [50, 52, 45, 81, -60, 58]
  Compare 81 and -60
  Swap 81 and -60
  List after swap: [50, 52, 45, -60, 81, 58]
  Compare 81 and 58
  Swap 81 and 58
  List after swap: [50, 52, 45, -60, 58, 81]

Pass 2:
  Compare 50 and 52
  No swap needed
  Compare 52 and 45
  Swap 52 and 45
  List after swap: [50, 45, 52, -60, 58, 81]
  Compare 52 and -60
  Swap 52 and -60
  List after swap: [50, 45, -60, 52, 58, 81]
  Compare 52 and 58
  No swap needed

Pass 3:
  Compare 50 and 45
  Swap 50 and 45
  List after swap: [45, 50, -60, 52, 58, 81]
  Compare 50 and -60
  Swap 50 and -60
  List after swap: [45, -60, 50, 52, 58, 81]
  Compare 50 and 52
  No swap needed

Pass 4:
  Compare 45 and -60
  Swap 45 and -60
  List after swap: [-60, 45, 50, 52, 58, 81]
  Compare 45 and 50
  No swap needed

Pass 5:
  Compare -60 and 45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, 45, 50, 52, 58, 81]
</think>

<response>-60, 45, 50, 52, 58, 81</response>


input: Perform a bubble sort on the integers -77, -61, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-77, -61]

Pass 1:
  Compare -77 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -61]
</think>

<response>-77, -61</response>


input: Carry out the bubble sort algorithm on -100, 98, 8, -38 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-100, 98, 8, -38]

Pass 1:
  Compare -100 and 98
  No swap needed
  Compare 98 and 8
  Swap 98 and 8
  List after swap: [-100, 8, 98, -38]
  Compare 98 and -38
  Swap 98 and -38
  List after swap: [-100, 8, -38, 98]

Pass 2:
  Compare -100 and 8
  No swap needed
  Compare 8 and -38
  Swap 8 and -38
  List after swap: [-100, -38, 8, 98]

Pass 3:
  Compare -100 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -38, 8, 98]
</think>

<response>-100, -38, 8, 98</response>


input: Demonstrate how bubble sort orders the integers 38, -27, 66, 23, 29, 74, -14, -8 in ascending sequence, showing all steps.

output:
<think>
Initial list: [38, -27, 66, 23, 29, 74, -14, -8]

Pass 1:
  Compare 38 and -27
  Swap 38 and -27
  List after swap: [-27, 38, 66, 23, 29, 74, -14, -8]
  Compare 38 and 66
  No swap needed
  Compare 66 and 23
  Swap 66 and 23
  List after swap: [-27, 38, 23, 66, 29, 74, -14, -8]
  Compare 66 and 29
  Swap 66 and 29
  List after swap: [-27, 38, 23, 29, 66, 74, -14, -8]
  Compare 66 and 74
  No swap needed
  Compare 74 and -14
  Swap 74 and -14
  List after swap: [-27, 38, 23, 29, 66, -14, 74, -8]
  Compare 74 and -8
  Swap 74 and -8
  List after swap: [-27, 38, 23, 29, 66, -14, -8, 74]

Pass 2:
  Compare -27 and 38
  No swap needed
  Compare 38 and 23
  Swap 38 and 23
  List after swap: [-27, 23, 38, 29, 66, -14, -8, 74]
  Compare 38 and 29
  Swap 38 and 29
  List after swap: [-27, 23, 29, 38, 66, -14, -8, 74]
  Compare 38 and 66
  No swap needed
  Compare 66 and -14
  Swap 66 and -14
  List after swap: [-27, 23, 29, 38, -14, 66, -8, 74]
  Compare 66 and -8
  Swap 66 and -8
  List after swap: [-27, 23, 29, 38, -14, -8, 66, 74]

Pass 3:
  Compare -27 and 23
  No swap needed
  Compare 23 and 29
  No swap needed
  Compare 29 and 38
  No swap needed
  Compare 38 and -14
  Swap 38 and -14
  List after swap: [-27, 23, 29, -14, 38, -8, 66, 74]
  Compare 38 and -8
  Swap 38 and -8
  List after swap: [-27, 23, 29, -14, -8, 38, 66, 74]

Pass 4:
  Compare -27 and 23
  No swap needed
  Compare 23 and 29
  No swap needed
  Compare 29 and -14
  Swap 29 and -14
  List after swap: [-27, 23, -14, 29, -8, 38, 66, 74]
  Compare 29 and -8
  Swap 29 and -8
  List after swap: [-27, 23, -14, -8, 29, 38, 66, 74]

Pass 5:
  Compare -27 and 23
  No swap needed
  Compare 23 and -14
  Swap 23 and -14
  List after swap: [-27, -14, 23, -8, 29, 38, 66, 74]
  Compare 23 and -8
  Swap 23 and -8
  List after swap: [-27, -14, -8, 23, 29, 38, 66, 74]

Pass 6:
  Compare -27 and -14
  No swap needed
  Compare -14 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-27, -14, -8, 23, 29, 38, 66, 74]
</think>

<response>-27, -14, -8, 23, 29, 38, 66, 74</response>


input: Use the bubble sort technique to reorder 48, 60, -84, -19, -48 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [48, 60, -84, -19, -48]

Pass 1:
  Compare 48 and 60
  No swap needed
  Compare 60 and -84
  Swap 60 and -84
  List after swap: [48, -84, 60, -19, -48]
  Compare 60 and -19
  Swap 60 and -19
  List after swap: [48, -84, -19, 60, -48]
  Compare 60 and -48
  Swap 60 and -48
  List after swap: [48, -84, -19, -48, 60]

Pass 2:
  Compare 48 and -84
  Swap 48 and -84
  List after swap: [-84, 48, -19, -48, 60]
  Compare 48 and -19
  Swap 48 and -19
  List after swap: [-84, -19, 48, -48, 60]
  Compare 48 and -48
  Swap 48 and -48
  List after swap: [-84, -19, -48, 48, 60]

Pass 3:
  Compare -84 and -19
  No swap needed
  Compare -19 and -48
  Swap -19 and -48
  List after swap: [-84, -48, -19, 48, 60]

Pass 4:
  Compare -84 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -48, -19, 48, 60]
</think>

<response>-84, -48, -19, 48, 60</response>


input: Sort these integers 82, -13, -55, -18, -43, -11, -31, 41 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [82, -13, -55, -18, -43, -11, -31, 41]

Pass 1:
  Compare 82 and -13
  Swap 82 and -13
  List after swap: [-13, 82, -55, -18, -43, -11, -31, 41]
  Compare 82 and -55
  Swap 82 and -55
  List after swap: [-13, -55, 82, -18, -43, -11, -31, 41]
  Compare 82 and -18
  Swap 82 and -18
  List after swap: [-13, -55, -18, 82, -43, -11, -31, 41]
  Compare 82 and -43
  Swap 82 and -43
  List after swap: [-13, -55, -18, -43, 82, -11, -31, 41]
  Compare 82 and -11
  Swap 82 and -11
  List after swap: [-13, -55, -18, -43, -11, 82, -31, 41]
  Compare 82 and -31
  Swap 82 and -31
  List after swap: [-13, -55, -18, -43, -11, -31, 82, 41]
  Compare 82 and 41
  Swap 82 and 41
  List after swap: [-13, -55, -18, -43, -11, -31, 41, 82]

Pass 2:
  Compare -13 and -55
  Swap -13 and -55
  List after swap: [-55, -13, -18, -43, -11, -31, 41, 82]
  Compare -13 and -18
  Swap -13 and -18
  List after swap: [-55, -18, -13, -43, -11, -31, 41, 82]
  Compare -13 and -43
  Swap -13 and -43
  List after swap: [-55, -18, -43, -13, -11, -31, 41, 82]
  Compare -13 and -11
  No swap needed
  Compare -11 and -31
  Swap -11 and -31
  List after swap: [-55, -18, -43, -13, -31, -11, 41, 82]
  Compare -11 and 41
  No swap needed

Pass 3:
  Compare -55 and -18
  No swap needed
  Compare -18 and -43
  Swap -18 and -43
  List after swap: [-55, -43, -18, -13, -31, -11, 41, 82]
  Compare -18 and -13
  No swap needed
  Compare -13 and -31
  Swap -13 and -31
  List after swap: [-55, -43, -18, -31, -13, -11, 41, 82]
  Compare -13 and -11
  No swap needed

Pass 4:
  Compare -55 and -43
  No swap needed
  Compare -43 and -18
  No swap needed
  Compare -18 and -31
  Swap -18 and -31
  List after swap: [-55, -43, -31, -18, -13, -11, 41, 82]
  Compare -18 and -13
  No swap needed

Pass 5:
  Compare -55 and -43
  No swap needed
  Compare -43 and -31
  No swap needed
  Compare -31 and -18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, -43, -31, -18, -13, -11, 41, 82]
</think>

<response>-55, -43, -31, -18, -13, -11, 41, 82</response>


input: Use the bubble sort technique to reorder -70, -28 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-70, -28]

Pass 1:
  Compare -70 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -28]
</think>

<response>-70, -28</response>


input: Sort these integers 75, 45, -45, 57, 69, -96, 88 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [75, 45, -45, 57, 69, -96, 88]

Pass 1:
  Compare 75 and 45
  Swap 75 and 45
  List after swap: [45, 75, -45, 57, 69, -96, 88]
  Compare 75 and -45
  Swap 75 and -45
  List after swap: [45, -45, 75, 57, 69, -96, 88]
  Compare 75 and 57
  Swap 75 and 57
  List after swap: [45, -45, 57, 75, 69, -96, 88]
  Compare 75 and 69
  Swap 75 and 69
  List after swap: [45, -45, 57, 69, 75, -96, 88]
  Compare 75 and -96
  Swap 75 and -96
  List after swap: [45, -45, 57, 69, -96, 75, 88]
  Compare 75 and 88
  No swap needed

Pass 2:
  Compare 45 and -45
  Swap 45 and -45
  List after swap: [-45, 45, 57, 69, -96, 75, 88]
  Compare 45 and 57
  No swap needed
  Compare 57 and 69
  No swap needed
  Compare 69 and -96
  Swap 69 and -96
  List after swap: [-45, 45, 57, -96, 69, 75, 88]
  Compare 69 and 75
  No swap needed

Pass 3:
  Compare -45 and 45
  No swap needed
  Compare 45 and 57
  No swap needed
  Compare 57 and -96
  Swap 57 and -96
  List after swap: [-45, 45, -96, 57, 69, 75, 88]
  Compare 57 and 69
  No swap needed

Pass 4:
  Compare -45 and 45
  No swap needed
  Compare 45 and -96
  Swap 45 and -96
  List after swap: [-45, -96, 45, 57, 69, 75, 88]
  Compare 45 and 57
  No swap needed

Pass 5:
  Compare -45 and -96
  Swap -45 and -96
  List after swap: [-96, -45, 45, 57, 69, 75, 88]
  Compare -45 and 45
  No swap needed

Pass 6:
  Compare -96 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -45, 45, 57, 69, 75, 88]
</think>

<response>-96, -45, 45, 57, 69, 75, 88</response>


input: Demonstrate how bubble sort orders the integers 93, -9, -60, -18, -3, 49, -27, -62, 43, 56 in ascending sequence, showing all steps.

output:
<think>
Initial list: [93, -9, -60, -18, -3, 49, -27, -62, 43, 56]

Pass 1:
  Compare 93 and -9
  Swap 93 and -9
  List after swap: [-9, 93, -60, -18, -3, 49, -27, -62, 43, 56]
  Compare 93 and -60
  Swap 93 and -60
  List after swap: [-9, -60, 93, -18, -3, 49, -27, -62, 43, 56]
  Compare 93 and -18
  Swap 93 and -18
  List after swap: [-9, -60, -18, 93, -3, 49, -27, -62, 43, 56]
  Compare 93 and -3
  Swap 93 and -3
  List after swap: [-9, -60, -18, -3, 93, 49, -27, -62, 43, 56]
  Compare 93 and 49
  Swap 93 and 49
  List after swap: [-9, -60, -18, -3, 49, 93, -27, -62, 43, 56]
  Compare 93 and -27
  Swap 93 and -27
  List after swap: [-9, -60, -18, -3, 49, -27, 93, -62, 43, 56]
  Compare 93 and -62
  Swap 93 and -62
  List after swap: [-9, -60, -18, -3, 49, -27, -62, 93, 43, 56]
  Compare 93 and 43
  Swap 93 and 43
  List after swap: [-9, -60, -18, -3, 49, -27, -62, 43, 93, 56]
  Compare 93 and 56
  Swap 93 and 56
  List after swap: [-9, -60, -18, -3, 49, -27, -62, 43, 56, 93]

Pass 2:
  Compare -9 and -60
  Swap -9 and -60
  List after swap: [-60, -9, -18, -3, 49, -27, -62, 43, 56, 93]
  Compare -9 and -18
  Swap -9 and -18
  List after swap: [-60, -18, -9, -3, 49, -27, -62, 43, 56, 93]
  Compare -9 and -3
  No swap needed
  Compare -3 and 49
  No swap needed
  Compare 49 and -27
  Swap 49 and -27
  List after swap: [-60, -18, -9, -3, -27, 49, -62, 43, 56, 93]
  Compare 49 and -62
  Swap 49 and -62
  List after swap: [-60, -18, -9, -3, -27, -62, 49, 43, 56, 93]
  Compare 49 and 43
  Swap 49 and 43
  List after swap: [-60, -18, -9, -3, -27, -62, 43, 49, 56, 93]
  Compare 49 and 56
  No swap needed

Pass 3:
  Compare -60 and -18
  No swap needed
  Compare -18 and -9
  No swap needed
  Compare -9 and -3
  No swap needed
  Compare -3 and -27
  Swap -3 and -27
  List after swap: [-60, -18, -9, -27, -3, -62, 43, 49, 56, 93]
  Compare -3 and -62
  Swap -3 and -62
  List after swap: [-60, -18, -9, -27, -62, -3, 43, 49, 56, 93]
  Compare -3 and 43
  No swap needed
  Compare 43 and 49
  No swap needed

Pass 4:
  Compare -60 and -18
  No swap needed
  Compare -18 and -9
  No swap needed
  Compare -9 and -27
  Swap -9 and -27
  List after swap: [-60, -18, -27, -9, -62, -3, 43, 49, 56, 93]
  Compare -9 and -62
  Swap -9 and -62
  List after swap: [-60, -18, -27, -62, -9, -3, 43, 49, 56, 93]
  Compare -9 and -3
  No swap needed
  Compare -3 and 43
  No swap needed

Pass 5:
  Compare -60 and -18
  No swap needed
  Compare -18 and -27
  Swap -18 and -27
  List after swap: [-60, -27, -18, -62, -9, -3, 43, 49, 56, 93]
  Compare -18 and -62
  Swap -18 and -62
  List after swap: [-60, -27, -62, -18, -9, -3, 43, 49, 56, 93]
  Compare -18 and -9
  No swap needed
  Compare -9 and -3
  No swap needed

Pass 6:
  Compare -60 and -27
  No swap needed
  Compare -27 and -62
  Swap -27 and -62
  List after swap: [-60, -62, -27, -18, -9, -3, 43, 49, 56, 93]
  Compare -27 and -18
  No swap needed
  Compare -18 and -9
  No swap needed

Pass 7:
  Compare -60 and -62
  Swap -60 and -62
  List after swap: [-62, -60, -27, -18, -9, -3, 43, 49, 56, 93]
  Compare -60 and -27
  No swap needed
  Compare -27 and -18
  No swap needed

Pass 8:
  Compare -62 and -60
  No swap needed
  Compare -60 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -60, -27, -18, -9, -3, 43, 49, 56, 93]
</think>

<response>-62, -60, -27, -18, -9, -3, 43, 49, 56, 93</response>


input: Carry out the bubble sort algorithm on -77, -27, 96, 18, 36, -5, -65 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-77, -27, 96, 18, 36, -5, -65]

Pass 1:
  Compare -77 and -27
  No swap needed
  Compare -27 and 96
  No swap needed
  Compare 96 and 18
  Swap 96 and 18
  List after swap: [-77, -27, 18, 96, 36, -5, -65]
  Compare 96 and 36
  Swap 96 and 36
  List after swap: [-77, -27, 18, 36, 96, -5, -65]
  Compare 96 and -5
  Swap 96 and -5
  List after swap: [-77, -27, 18, 36, -5, 96, -65]
  Compare 96 and -65
  Swap 96 and -65
  List after swap: [-77, -27, 18, 36, -5, -65, 96]

Pass 2:
  Compare -77 and -27
  No swap needed
  Compare -27 and 18
  No swap needed
  Compare 18 and 36
  No swap needed
  Compare 36 and -5
  Swap 36 and -5
  List after swap: [-77, -27, 18, -5, 36, -65, 96]
  Compare 36 and -65
  Swap 36 and -65
  List after swap: [-77, -27, 18, -5, -65, 36, 96]

Pass 3:
  Compare -77 and -27
  No swap needed
  Compare -27 and 18
  No swap needed
  Compare 18 and -5
  Swap 18 and -5
  List after swap: [-77, -27, -5, 18, -65, 36, 96]
  Compare 18 and -65
  Swap 18 and -65
  List after swap: [-77, -27, -5, -65, 18, 36, 96]

Pass 4:
  Compare -77 and -27
  No swap needed
  Compare -27 and -5
  No swap needed
  Compare -5 and -65
  Swap -5 and -65
  List after swap: [-77, -27, -65, -5, 18, 36, 96]

Pass 5:
  Compare -77 and -27
  No swap needed
  Compare -27 and -65
  Swap -27 and -65
  List after swap: [-77, -65, -27, -5, 18, 36, 96]

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

Final sorted list: [-77, -65, -27, -5, 18, 36, 96]
</think>

<response>-77, -65, -27, -5, 18, 36, 96</response>


input: Use the bubble sort technique to reorder -81, 17, -31, -50, 31 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-81, 17, -31, -50, 31]

Pass 1:
  Compare -81 and 17
  No swap needed
  Compare 17 and -31
  Swap 17 and -31
  List after swap: [-81, -31, 17, -50, 31]
  Compare 17 and -50
  Swap 17 and -50
  List after swap: [-81, -31, -50, 17, 31]
  Compare 17 and 31
  No swap needed

Pass 2:
  Compare -81 and -31
  No swap needed
  Compare -31 and -50
  Swap -31 and -50
  List after swap: [-81, -50, -31, 17, 31]
  Compare -31 and 17
  No swap needed

Pass 3:
  Compare -81 and -50
  No swap needed
  Compare -50 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -50, -31, 17, 31]
</think>

<response>-81, -50, -31, 17, 31</response>


input: Perform a bubble sort on the integers 78, 61, -93, 77, 12, -88, -68, -76, -12, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [78, 61, -93, 77, 12, -88, -68, -76, -12]

Pass 1:
  Compare 78 and 61
  Swap 78 and 61
  List after swap: [61, 78, -93, 77, 12, -88, -68, -76, -12]
  Compare 78 and -93
  Swap 78 and -93
  List after swap: [61, -93, 78, 77, 12, -88, -68, -76, -12]
  Compare 78 and 77
  Swap 78 and 77
  List after swap: [61, -93, 77, 78, 12, -88, -68, -76, -12]
  Compare 78 and 12
  Swap 78 and 12
  List after swap: [61, -93, 77, 12, 78, -88, -68, -76, -12]
  Compare 78 and -88
  Swap 78 and -88
  List after swap: [61, -93, 77, 12, -88, 78, -68, -76, -12]
  Compare 78 and -68
  Swap 78 and -68
  List after swap: [61, -93, 77, 12, -88, -68, 78, -76, -12]
  Compare 78 and -76
  Swap 78 and -76
  List after swap: [61, -93, 77, 12, -88, -68, -76, 78, -12]
  Compare 78 and -12
  Swap 78 and -12
  List after swap: [61, -93, 77, 12, -88, -68, -76, -12, 78]

Pass 2:
  Compare 61 and -93
  Swap 61 and -93
  List after swap: [-93, 61, 77, 12, -88, -68, -76, -12, 78]
  Compare 61 and 77
  No swap needed
  Compare 77 and 12
  Swap 77 and 12
  List after swap: [-93, 61, 12, 77, -88, -68, -76, -12, 78]
  Compare 77 and -88
  Swap 77 and -88
  List after swap: [-93, 61, 12, -88, 77, -68, -76, -12, 78]
  Compare 77 and -68
  Swap 77 and -68
  List after swap: [-93, 61, 12, -88, -68, 77, -76, -12, 78]
  Compare 77 and -76
  Swap 77 and -76
  List after swap: [-93, 61, 12, -88, -68, -76, 77, -12, 78]
  Compare 77 and -12
  Swap 77 and -12
  List after swap: [-93, 61, 12, -88, -68, -76, -12, 77, 78]

Pass 3:
  Compare -93 and 61
  No swap needed
  Compare 61 and 12
  Swap 61 and 12
  List after swap: [-93, 12, 61, -88, -68, -76, -12, 77, 78]
  Compare 61 and -88
  Swap 61 and -88
  List after swap: [-93, 12, -88, 61, -68, -76, -12, 77, 78]
  Compare 61 and -68
  Swap 61 and -68
  List after swap: [-93, 12, -88, -68, 61, -76, -12, 77, 78]
  Compare 61 and -76
  Swap 61 and -76
  List after swap: [-93, 12, -88, -68, -76, 61, -12, 77, 78]
  Compare 61 and -12
  Swap 61 and -12
  List after swap: [-93, 12, -88, -68, -76, -12, 61, 77, 78]

Pass 4:
  Compare -93 and 12
  No swap needed
  Compare 12 and -88
  Swap 12 and -88
  List after swap: [-93, -88, 12, -68, -76, -12, 61, 77, 78]
  Compare 12 and -68
  Swap 12 and -68
  List after swap: [-93, -88, -68, 12, -76, -12, 61, 77, 78]
  Compare 12 and -76
  Swap 12 and -76
  List after swap: [-93, -88, -68, -76, 12, -12, 61, 77, 78]
  Compare 12 and -12
  Swap 12 and -12
  List after swap: [-93, -88, -68, -76, -12, 12, 61, 77, 78]

Pass 5:
  Compare -93 and -88
  No swap needed
  Compare -88 and -68
  No swap needed
  Compare -68 and -76
  Swap -68 and -76
  List after swap: [-93, -88, -76, -68, -12, 12, 61, 77, 78]
  Compare -68 and -12
  No swap needed

Pass 6:
  Compare -93 and -88
  No swap needed
  Compare -88 and -76
  No swap needed
  Compare -76 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -88, -76, -68, -12, 12, 61, 77, 78]
</think>

<response>-93, -88, -76, -68, -12, 12, 61, 77, 78</response>


input: Perform a bubble sort on the integers 66, 97, -86, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [66, 97, -86]

Pass 1:
  Compare 66 and 97
  No swap needed
  Compare 97 and -86
  Swap 97 and -86
  List after swap: [66, -86, 97]

Pass 2:
  Compare 66 and -86
  Swap 66 and -86
  List after swap: [-86, 66, 97]

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

Final sorted list: [-86, 66, 97]
</think>

<response>-86, 66, 97</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -17, 58, -12, -86, 76, -63.

output:
<think>
Initial list: [-17, 58, -12, -86, 76, -63]

Pass 1:
  Compare -17 and 58
  No swap needed
  Compare 58 and -12
  Swap 58 and -12
  List after swap: [-17, -12, 58, -86, 76, -63]
  Compare 58 and -86
  Swap 58 and -86
  List after swap: [-17, -12, -86, 58, 76, -63]
  Compare 58 and 76
  No swap needed
  Compare 76 and -63
  Swap 76 and -63
  List after swap: [-17, -12, -86, 58, -63, 76]

Pass 2:
  Compare -17 and -12
  No swap needed
  Compare -12 and -86
  Swap -12 and -86
  List after swap: [-17, -86, -12, 58, -63, 76]
  Compare -12 and 58
  No swap needed
  Compare 58 and -63
  Swap 58 and -63
  List after swap: [-17, -86, -12, -63, 58, 76]

Pass 3:
  Compare -17 and -86
  Swap -17 and -86
  List after swap: [-86, -17, -12, -63, 58, 76]
  Compare -17 and -12
  No swap needed
  Compare -12 and -63
  Swap -12 and -63
  List after swap: [-86, -17, -63, -12, 58, 76]

Pass 4:
  Compare -86 and -17
  No swap needed
  Compare -17 and -63
  Swap -17 and -63
  List after swap: [-86, -63, -17, -12, 58, 76]

Pass 5:
  Compare -86 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -63, -17, -12, 58, 76]
</think>

<response>-86, -63, -17, -12, 58, 76</response>


input: Sort the list 95, 36, 57, 66, -9, 5, 82, 51, -88 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [95, 36, 57, 66, -9, 5, 82, 51, -88]

Pass 1:
  Compare 95 and 36
  Swap 95 and 36
  List after swap: [36, 95, 57, 66, -9, 5, 82, 51, -88]
  Compare 95 and 57
  Swap 95 and 57
  List after swap: [36, 57, 95, 66, -9, 5, 82, 51, -88]
  Compare 95 and 66
  Swap 95 and 66
  List after swap: [36, 57, 66, 95, -9, 5, 82, 51, -88]
  Compare 95 and -9
  Swap 95 and -9
  List after swap: [36, 57, 66, -9, 95, 5, 82, 51, -88]
  Compare 95 and 5
  Swap 95 and 5
  List after swap: [36, 57, 66, -9, 5, 95, 82, 51, -88]
  Compare 95 and 82
  Swap 95 and 82
  List after swap: [36, 57, 66, -9, 5, 82, 95, 51, -88]
  Compare 95 and 51
  Swap 95 and 51
  List after swap: [36, 57, 66, -9, 5, 82, 51, 95, -88]
  Compare 95 and -88
  Swap 95 and -88
  List after swap: [36, 57, 66, -9, 5, 82, 51, -88, 95]

Pass 2:
  Compare 36 and 57
  No swap needed
  Compare 57 and 66
  No swap needed
  Compare 66 and -9
  Swap 66 and -9
  List after swap: [36, 57, -9, 66, 5, 82, 51, -88, 95]
  Compare 66 and 5
  Swap 66 and 5
  List after swap: [36, 57, -9, 5, 66, 82, 51, -88, 95]
  Compare 66 and 82
  No swap needed
  Compare 82 and 51
  Swap 82 and 51
  List after swap: [36, 57, -9, 5, 66, 51, 82, -88, 95]
  Compare 82 and -88
  Swap 82 and -88
  List after swap: [36, 57, -9, 5, 66, 51, -88, 82, 95]

Pass 3:
  Compare 36 and 57
  No swap needed
  Compare 57 and -9
  Swap 57 and -9
  List after swap: [36, -9, 57, 5, 66, 51, -88, 82, 95]
  Compare 57 and 5
  Swap 57 and 5
  List after swap: [36, -9, 5, 57, 66, 51, -88, 82, 95]
  Compare 57 and 66
  No swap needed
  Compare 66 and 51
  Swap 66 and 51
  List after swap: [36, -9, 5, 57, 51, 66, -88, 82, 95]
  Compare 66 and -88
  Swap 66 and -88
  List after swap: [36, -9, 5, 57, 51, -88, 66, 82, 95]

Pass 4:
  Compare 36 and -9
  Swap 36 and -9
  List after swap: [-9, 36, 5, 57, 51, -88, 66, 82, 95]
  Compare 36 and 5
  Swap 36 and 5
  List after swap: [-9, 5, 36, 57, 51, -88, 66, 82, 95]
  Compare 36 and 57
  No swap needed
  Compare 57 and 51
  Swap 57 and 51
  List after swap: [-9, 5, 36, 51, 57, -88, 66, 82, 95]
  Compare 57 and -88
  Swap 57 and -88
  List after swap: [-9, 5, 36, 51, -88, 57, 66, 82, 95]

Pass 5:
  Compare -9 and 5
  No swap needed
  Compare 5 and 36
  No swap needed
  Compare 36 and 51
  No swap needed
  Compare 51 and -88
  Swap 51 and -88
  List after swap: [-9, 5, 36, -88, 51, 57, 66, 82, 95]

Pass 6:
  Compare -9 and 5
  No swap needed
  Compare 5 and 36
  No swap needed
  Compare 36 and -88
  Swap 36 and -88
  List after swap: [-9, 5, -88, 36, 51, 57, 66, 82, 95]

Pass 7:
  Compare -9 and 5
  No swap needed
  Compare 5 and -88
  Swap 5 and -88
  List after swap: [-9, -88, 5, 36, 51, 57, 66, 82, 95]

Pass 8:
  Compare -9 and -88
  Swap -9 and -88
  List after swap: [-88, -9, 5, 36, 51, 57, 66, 82, 95]

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

Final sorted list: [-88, -9, 5, 36, 51, 57, 66, 82, 95]
</think>

<response>-88, -9, 5, 36, 51, 57, 66, 82, 95</response>


input: Sort the list -26, -66 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-26, -66]

Pass 1:
  Compare -26 and -66
  Swap -26 and -66
  List after swap: [-66, -26]

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

Final sorted list: [-66, -26]
</think>

<response>-66, -26</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 40, -40, 27, -61, -98, 33, 22, -57.

output:
<think>
Initial list: [40, -40, 27, -61, -98, 33, 22, -57]

Pass 1:
  Compare 40 and -40
  Swap 40 and -40
  List after swap: [-40, 40, 27, -61, -98, 33, 22, -57]
  Compare 40 and 27
  Swap 40 and 27
  List after swap: [-40, 27, 40, -61, -98, 33, 22, -57]
  Compare 40 and -61
  Swap 40 and -61
  List after swap: [-40, 27, -61, 40, -98, 33, 22, -57]
  Compare 40 and -98
  Swap 40 and -98
  List after swap: [-40, 27, -61, -98, 40, 33, 22, -57]
  Compare 40 and 33
  Swap 40 and 33
  List after swap: [-40, 27, -61, -98, 33, 40, 22, -57]
  Compare 40 and 22
  Swap 40 and 22
  List after swap: [-40, 27, -61, -98, 33, 22, 40, -57]
  Compare 40 and -57
  Swap 40 and -57
  List after swap: [-40, 27, -61, -98, 33, 22, -57, 40]

Pass 2:
  Compare -40 and 27
  No swap needed
  Compare 27 and -61
  Swap 27 and -61
  List after swap: [-40, -61, 27, -98, 33, 22, -57, 40]
  Compare 27 and -98
  Swap 27 and -98
  List after swap: [-40, -61, -98, 27, 33, 22, -57, 40]
  Compare 27 and 33
  No swap needed
  Compare 33 and 22
  Swap 33 and 22
  List after swap: [-40, -61, -98, 27, 22, 33, -57, 40]
  Compare 33 and -57
  Swap 33 and -57
  List after swap: [-40, -61, -98, 27, 22, -57, 33, 40]

Pass 3:
  Compare -40 and -61
  Swap -40 and -61
  List after swap: [-61, -40, -98, 27, 22, -57, 33, 40]
  Compare -40 and -98
  Swap -40 and -98
  List after swap: [-61, -98, -40, 27, 22, -57, 33, 40]
  Compare -40 and 27
  No swap needed
  Compare 27 and 22
  Swap 27 and 22
  List after swap: [-61, -98, -40, 22, 27, -57, 33, 40]
  Compare 27 and -57
  Swap 27 and -57
  List after swap: [-61, -98, -40, 22, -57, 27, 33, 40]

Pass 4:
  Compare -61 and -98
  Swap -61 and -98
  List after swap: [-98, -61, -40, 22, -57, 27, 33, 40]
  Compare -61 and -40
  No swap needed
  Compare -40 and 22
  No swap needed
  Compare 22 and -57
  Swap 22 and -57
  List after swap: [-98, -61, -40, -57, 22, 27, 33, 40]

Pass 5:
  Compare -98 and -61
  No swap needed
  Compare -61 and -40
  No swap needed
  Compare -40 and -57
  Swap -40 and -57
  List after swap: [-98, -61, -57, -40, 22, 27, 33, 40]

Pass 6:
  Compare -98 and -61
  No swap needed
  Compare -61 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -61, -57, -40, 22, 27, 33, 40]
</think>

<response>-98, -61, -57, -40, 22, 27, 33, 40</response>


input: Execute bubble sort to sort -88, 14, -82, 49, -94, -71 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-88, 14, -82, 49, -94, -71]

Pass 1:
  Compare -88 and 14
  No swap needed
  Compare 14 and -82
  Swap 14 and -82
  List after swap: [-88, -82, 14, 49, -94, -71]
  Compare 14 and 49
  No swap needed
  Compare 49 and -94
  Swap 49 and -94
  List after swap: [-88, -82, 14, -94, 49, -71]
  Compare 49 and -71
  Swap 49 and -71
  List after swap: [-88, -82, 14, -94, -71, 49]

Pass 2:
  Compare -88 and -82
  No swap needed
  Compare -82 and 14
  No swap needed
  Compare 14 and -94
  Swap 14 and -94
  List after swap: [-88, -82, -94, 14, -71, 49]
  Compare 14 and -71
  Swap 14 and -71
  List after swap: [-88, -82, -94, -71, 14, 49]

Pass 3:
  Compare -88 and -82
  No swap needed
  Compare -82 and -94
  Swap -82 and -94
  List after swap: [-88, -94, -82, -71, 14, 49]
  Compare -82 and -71
  No swap needed

Pass 4:
  Compare -88 and -94
  Swap -88 and -94
  List after swap: [-94, -88, -82, -71, 14, 49]
  Compare -88 and -82
  No swap needed

Pass 5:
  Compare -94 and -88
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -88, -82, -71, 14, 49]
</think>

<response>-94, -88, -82, -71, 14, 49</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -8, 41, 47, -39, 65, 24, -60.

output:
<think>
Initial list: [-8, 41, 47, -39, 65, 24, -60]

Pass 1:
  Compare -8 and 41
  No swap needed
  Compare 41 and 47
  No swap needed
  Compare 47 and -39
  Swap 47 and -39
  List after swap: [-8, 41, -39, 47, 65, 24, -60]
  Compare 47 and 65
  No swap needed
  Compare 65 and 24
  Swap 65 and 24
  List after swap: [-8, 41, -39, 47, 24, 65, -60]
  Compare 65 and -60
  Swap 65 and -60
  List after swap: [-8, 41, -39, 47, 24, -60, 65]

Pass 2:
  Compare -8 and 41
  No swap needed
  Compare 41 and -39
  Swap 41 and -39
  List after swap: [-8, -39, 41, 47, 24, -60, 65]
  Compare 41 and 47
  No swap needed
  Compare 47 and 24
  Swap 47 and 24
  List after swap: [-8, -39, 41, 24, 47, -60, 65]
  Compare 47 and -60
  Swap 47 and -60
  List after swap: [-8, -39, 41, 24, -60, 47, 65]

Pass 3:
  Compare -8 and -39
  Swap -8 and -39
  List after swap: [-39, -8, 41, 24, -60, 47, 65]
  Compare -8 and 41
  No swap needed
  Compare 41 and 24
  Swap 41 and 24
  List after swap: [-39, -8, 24, 41, -60, 47, 65]
  Compare 41 and -60
  Swap 41 and -60
  List after swap: [-39, -8, 24, -60, 41, 47, 65]

Pass 4:
  Compare -39 and -8
  No swap needed
  Compare -8 and 24
  No swap needed
  Compare 24 and -60
  Swap 24 and -60
  List after swap: [-39, -8, -60, 24, 41, 47, 65]

Pass 5:
  Compare -39 and -8
  No swap needed
  Compare -8 and -60
  Swap -8 and -60
  List after swap: [-39, -60, -8, 24, 41, 47, 65]

Pass 6:
  Compare -39 and -60
  Swap -39 and -60
  List after swap: [-60, -39, -8, 24, 41, 47, 65]

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

Final sorted list: [-60, -39, -8, 24, 41, 47, 65]
</think>

<response>-60, -39, -8, 24, 41, 47, 65</response>


input: Demonstrate how bubble sort orders the integers -73, 20, 30, 80, -81 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-73, 20, 30, 80, -81]

Pass 1:
  Compare -73 and 20
  No swap needed
  Compare 20 and 30
  No swap needed
  Compare 30 and 80
  No swap needed
  Compare 80 and -81
  Swap 80 and -81
  List after swap: [-73, 20, 30, -81, 80]

Pass 2:
  Compare -73 and 20
  No swap needed
  Compare 20 and 30
  No swap needed
  Compare 30 and -81
  Swap 30 and -81
  List after swap: [-73, 20, -81, 30, 80]

Pass 3:
  Compare -73 and 20
  No swap needed
  Compare 20 and -81
  Swap 20 and -81
  List after swap: [-73, -81, 20, 30, 80]

Pass 4:
  Compare -73 and -81
  Swap -73 and -81
  List after swap: [-81, -73, 20, 30, 80]

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

Final sorted list: [-81, -73, 20, 30, 80]
</think>

<response>-81, -73, 20, 30, 80</response>


input: Execute bubble sort to sort 67, -65, -52 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [67, -65, -52]

Pass 1:
  Compare 67 and -65
  Swap 67 and -65
  List after swap: [-65, 67, -52]
  Compare 67 and -52
  Swap 67 and -52
  List after swap: [-65, -52, 67]

Pass 2:
  Compare -65 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -52, 67]
</think>

<response>-65, -52, 67</response>


input: Sort these integers -93, -47, -89, -87, -3, -26, 30, -75, -30, 53 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-93, -47, -89, -87, -3, -26, 30, -75, -30, 53]

Pass 1:
  Compare -93 and -47
  No swap needed
  Compare -47 and -89
  Swap -47 and -89
  List after swap: [-93, -89, -47, -87, -3, -26, 30, -75, -30, 53]
  Compare -47 and -87
  Swap -47 and -87
  List after swap: [-93, -89, -87, -47, -3, -26, 30, -75, -30, 53]
  Compare -47 and -3
  No swap needed
  Compare -3 and -26
  Swap -3 and -26
  List after swap: [-93, -89, -87, -47, -26, -3, 30, -75, -30, 53]
  Compare -3 and 30
  No swap needed
  Compare 30 and -75
  Swap 30 and -75
  List after swap: [-93, -89, -87, -47, -26, -3, -75, 30, -30, 53]
  Compare 30 and -30
  Swap 30 and -30
  List after swap: [-93, -89, -87, -47, -26, -3, -75, -30, 30, 53]
  Compare 30 and 53
  No swap needed

Pass 2:
  Compare -93 and -89
  No swap needed
  Compare -89 and -87
  No swap needed
  Compare -87 and -47
  No swap needed
  Compare -47 and -26
  No swap needed
  Compare -26 and -3
  No swap needed
  Compare -3 and -75
  Swap -3 and -75
  List after swap: [-93, -89, -87, -47, -26, -75, -3, -30, 30, 53]
  Compare -3 and -30
  Swap -3 and -30
  List after swap: [-93, -89, -87, -47, -26, -75, -30, -3, 30, 53]
  Compare -3 and 30
  No swap needed

Pass 3:
  Compare -93 and -89
  No swap needed
  Compare -89 and -87
  No swap needed
  Compare -87 and -47
  No swap needed
  Compare -47 and -26
  No swap needed
  Compare -26 and -75
  Swap -26 and -75
  List after swap: [-93, -89, -87, -47, -75, -26, -30, -3, 30, 53]
  Compare -26 and -30
  Swap -26 and -30
  List after swap: [-93, -89, -87, -47, -75, -30, -26, -3, 30, 53]
  Compare -26 and -3
  No swap needed

Pass 4:
  Compare -93 and -89
  No swap needed
  Compare -89 and -87
  No swap needed
  Compare -87 and -47
  No swap needed
  Compare -47 and -75
  Swap -47 and -75
  List after swap: [-93, -89, -87, -75, -47, -30, -26, -3, 30, 53]
  Compare -47 and -30
  No swap needed
  Compare -30 and -26
  No swap needed

Pass 5:
  Compare -93 and -89
  No swap needed
  Compare -89 and -87
  No swap needed
  Compare -87 and -75
  No swap needed
  Compare -75 and -47
  No swap needed
  Compare -47 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -89, -87, -75, -47, -30, -26, -3, 30, 53]
</think>

<response>-93, -89, -87, -75, -47, -30, -26, -3, 30, 53</response>


input: Implement bubble sort on 41, 16, 95, 62, -54 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [41, 16, 95, 62, -54]

Pass 1:
  Compare 41 and 16
  Swap 41 and 16
  List after swap: [16, 41, 95, 62, -54]
  Compare 41 and 95
  No swap needed
  Compare 95 and 62
  Swap 95 and 62
  List after swap: [16, 41, 62, 95, -54]
  Compare 95 and -54
  Swap 95 and -54
  List after swap: [16, 41, 62, -54, 95]

Pass 2:
  Compare 16 and 41
  No swap needed
  Compare 41 and 62
  No swap needed
  Compare 62 and -54
  Swap 62 and -54
  List after swap: [16, 41, -54, 62, 95]

Pass 3:
  Compare 16 and 41
  No swap needed
  Compare 41 and -54
  Swap 41 and -54
  List after swap: [16, -54, 41, 62, 95]

Pass 4:
  Compare 16 and -54
  Swap 16 and -54
  List after swap: [-54, 16, 41, 62, 95]

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

Final sorted list: [-54, 16, 41, 62, 95]
</think>

<response>-54, 16, 41, 62, 95</response>


input: Demonstrate how bubble sort orders the integers -27, -35, -81, -97, 85, -38 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-27, -35, -81, -97, 85, -38]

Pass 1:
  Compare -27 and -35
  Swap -27 and -35
  List after swap: [-35, -27, -81, -97, 85, -38]
  Compare -27 and -81
  Swap -27 and -81
  List after swap: [-35, -81, -27, -97, 85, -38]
  Compare -27 and -97
  Swap -27 and -97
  List after swap: [-35, -81, -97, -27, 85, -38]
  Compare -27 and 85
  No swap needed
  Compare 85 and -38
  Swap 85 and -38
  List after swap: [-35, -81, -97, -27, -38, 85]

Pass 2:
  Compare -35 and -81
  Swap -35 and -81
  List after swap: [-81, -35, -97, -27, -38, 85]
  Compare -35 and -97
  Swap -35 and -97
  List after swap: [-81, -97, -35, -27, -38, 85]
  Compare -35 and -27
  No swap needed
  Compare -27 and -38
  Swap -27 and -38
  List after swap: [-81, -97, -35, -38, -27, 85]

Pass 3:
  Compare -81 and -97
  Swap -81 and -97
  List after swap: [-97, -81, -35, -38, -27, 85]
  Compare -81 and -35
  No swap needed
  Compare -35 and -38
  Swap -35 and -38
  List after swap: [-97, -81, -38, -35, -27, 85]

Pass 4:
  Compare -97 and -81
  No swap needed
  Compare -81 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -81, -38, -35, -27, 85]
</think>

<response>-97, -81, -38, -35, -27, 85</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 14, -76, 53, -41.

output:
<think>
Initial list: [14, -76, 53, -41]

Pass 1:
  Compare 14 and -76
  Swap 14 and -76
  List after swap: [-76, 14, 53, -41]
  Compare 14 and 53
  No swap needed
  Compare 53 and -41
  Swap 53 and -41
  List after swap: [-76, 14, -41, 53]

Pass 2:
  Compare -76 and 14
  No swap needed
  Compare 14 and -41
  Swap 14 and -41
  List after swap: [-76, -41, 14, 53]

Pass 3:
  Compare -76 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -41, 14, 53]
</think>

<response>-76, -41, 14, 53</response>