input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 2, -46, 28, 85, -27, 89, -13, 14, -43.

output:
<think>
Initial list: [2, -46, 28, 85, -27, 89, -13, 14, -43]

Pass 1:
  Compare 2 and -46
  Swap 2 and -46
  List after swap: [-46, 2, 28, 85, -27, 89, -13, 14, -43]
  Compare 2 and 28
  No swap needed
  Compare 28 and 85
  No swap needed
  Compare 85 and -27
  Swap 85 and -27
  List after swap: [-46, 2, 28, -27, 85, 89, -13, 14, -43]
  Compare 85 and 89
  No swap needed
  Compare 89 and -13
  Swap 89 and -13
  List after swap: [-46, 2, 28, -27, 85, -13, 89, 14, -43]
  Compare 89 and 14
  Swap 89 and 14
  List after swap: [-46, 2, 28, -27, 85, -13, 14, 89, -43]
  Compare 89 and -43
  Swap 89 and -43
  List after swap: [-46, 2, 28, -27, 85, -13, 14, -43, 89]

Pass 2:
  Compare -46 and 2
  No swap needed
  Compare 2 and 28
  No swap needed
  Compare 28 and -27
  Swap 28 and -27
  List after swap: [-46, 2, -27, 28, 85, -13, 14, -43, 89]
  Compare 28 and 85
  No swap needed
  Compare 85 and -13
  Swap 85 and -13
  List after swap: [-46, 2, -27, 28, -13, 85, 14, -43, 89]
  Compare 85 and 14
  Swap 85 and 14
  List after swap: [-46, 2, -27, 28, -13, 14, 85, -43, 89]
  Compare 85 and -43
  Swap 85 and -43
  List after swap: [-46, 2, -27, 28, -13, 14, -43, 85, 89]

Pass 3:
  Compare -46 and 2
  No swap needed
  Compare 2 and -27
  Swap 2 and -27
  List after swap: [-46, -27, 2, 28, -13, 14, -43, 85, 89]
  Compare 2 and 28
  No swap needed
  Compare 28 and -13
  Swap 28 and -13
  List after swap: [-46, -27, 2, -13, 28, 14, -43, 85, 89]
  Compare 28 and 14
  Swap 28 and 14
  List after swap: [-46, -27, 2, -13, 14, 28, -43, 85, 89]
  Compare 28 and -43
  Swap 28 and -43
  List after swap: [-46, -27, 2, -13, 14, -43, 28, 85, 89]

Pass 4:
  Compare -46 and -27
  No swap needed
  Compare -27 and 2
  No swap needed
  Compare 2 and -13
  Swap 2 and -13
  List after swap: [-46, -27, -13, 2, 14, -43, 28, 85, 89]
  Compare 2 and 14
  No swap needed
  Compare 14 and -43
  Swap 14 and -43
  List after swap: [-46, -27, -13, 2, -43, 14, 28, 85, 89]

Pass 5:
  Compare -46 and -27
  No swap needed
  Compare -27 and -13
  No swap needed
  Compare -13 and 2
  No swap needed
  Compare 2 and -43
  Swap 2 and -43
  List after swap: [-46, -27, -13, -43, 2, 14, 28, 85, 89]

Pass 6:
  Compare -46 and -27
  No swap needed
  Compare -27 and -13
  No swap needed
  Compare -13 and -43
  Swap -13 and -43
  List after swap: [-46, -27, -43, -13, 2, 14, 28, 85, 89]

Pass 7:
  Compare -46 and -27
  No swap needed
  Compare -27 and -43
  Swap -27 and -43
  List after swap: [-46, -43, -27, -13, 2, 14, 28, 85, 89]

Pass 8:
  Compare -46 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-46, -43, -27, -13, 2, 14, 28, 85, 89]
</think>

<response>-46, -43, -27, -13, 2, 14, 28, 85, 89</response>


input: Use the bubble sort technique to reorder 43, -27, -70, -82, 17 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [43, -27, -70, -82, 17]

Pass 1:
  Compare 43 and -27
  Swap 43 and -27
  List after swap: [-27, 43, -70, -82, 17]
  Compare 43 and -70
  Swap 43 and -70
  List after swap: [-27, -70, 43, -82, 17]
  Compare 43 and -82
  Swap 43 and -82
  List after swap: [-27, -70, -82, 43, 17]
  Compare 43 and 17
  Swap 43 and 17
  List after swap: [-27, -70, -82, 17, 43]

Pass 2:
  Compare -27 and -70
  Swap -27 and -70
  List after swap: [-70, -27, -82, 17, 43]
  Compare -27 and -82
  Swap -27 and -82
  List after swap: [-70, -82, -27, 17, 43]
  Compare -27 and 17
  No swap needed

Pass 3:
  Compare -70 and -82
  Swap -70 and -82
  List after swap: [-82, -70, -27, 17, 43]
  Compare -70 and -27
  No swap needed

Pass 4:
  Compare -82 and -70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -70, -27, 17, 43]
</think>

<response>-82, -70, -27, 17, 43</response>


input: Using the bubble sort method, sort -82, -16, 48 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-82, -16, 48]

Pass 1:
  Compare -82 and -16
  No swap needed
  Compare -16 and 48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -16, 48]
</think>

<response>-82, -16, 48</response>


input: Perform a bubble sort on the integers -94, 41, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-94, 41]

Pass 1:
  Compare -94 and 41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, 41]
</think>

<response>-94, 41</response>


input: Execute bubble sort to sort -43, 5, 38, -45, -27 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-43, 5, 38, -45, -27]

Pass 1:
  Compare -43 and 5
  No swap needed
  Compare 5 and 38
  No swap needed
  Compare 38 and -45
  Swap 38 and -45
  List after swap: [-43, 5, -45, 38, -27]
  Compare 38 and -27
  Swap 38 and -27
  List after swap: [-43, 5, -45, -27, 38]

Pass 2:
  Compare -43 and 5
  No swap needed
  Compare 5 and -45
  Swap 5 and -45
  List after swap: [-43, -45, 5, -27, 38]
  Compare 5 and -27
  Swap 5 and -27
  List after swap: [-43, -45, -27, 5, 38]

Pass 3:
  Compare -43 and -45
  Swap -43 and -45
  List after swap: [-45, -43, -27, 5, 38]
  Compare -43 and -27
  No swap needed

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

Final sorted list: [-45, -43, -27, 5, 38]
</think>

<response>-45, -43, -27, 5, 38</response>


input: Demonstrate how bubble sort orders the integers 61, -74, 19, 42, 84 in ascending sequence, showing all steps.

output:
<think>
Initial list: [61, -74, 19, 42, 84]

Pass 1:
  Compare 61 and -74
  Swap 61 and -74
  List after swap: [-74, 61, 19, 42, 84]
  Compare 61 and 19
  Swap 61 and 19
  List after swap: [-74, 19, 61, 42, 84]
  Compare 61 and 42
  Swap 61 and 42
  List after swap: [-74, 19, 42, 61, 84]
  Compare 61 and 84
  No swap needed

Pass 2:
  Compare -74 and 19
  No swap needed
  Compare 19 and 42
  No swap needed
  Compare 42 and 61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, 19, 42, 61, 84]
</think>

<response>-74, 19, 42, 61, 84</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -53, 32, -19.

output:
<think>
Initial list: [-53, 32, -19]

Pass 1:
  Compare -53 and 32
  No swap needed
  Compare 32 and -19
  Swap 32 and -19
  List after swap: [-53, -19, 32]

Pass 2:
  Compare -53 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-53, -19, 32]
</think>

<response>-53, -19, 32</response>


input: Sort these integers 6, 67, -92, -32, 99, 73 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [6, 67, -92, -32, 99, 73]

Pass 1:
  Compare 6 and 67
  No swap needed
  Compare 67 and -92
  Swap 67 and -92
  List after swap: [6, -92, 67, -32, 99, 73]
  Compare 67 and -32
  Swap 67 and -32
  List after swap: [6, -92, -32, 67, 99, 73]
  Compare 67 and 99
  No swap needed
  Compare 99 and 73
  Swap 99 and 73
  List after swap: [6, -92, -32, 67, 73, 99]

Pass 2:
  Compare 6 and -92
  Swap 6 and -92
  List after swap: [-92, 6, -32, 67, 73, 99]
  Compare 6 and -32
  Swap 6 and -32
  List after swap: [-92, -32, 6, 67, 73, 99]
  Compare 6 and 67
  No swap needed
  Compare 67 and 73
  No swap needed

Pass 3:
  Compare -92 and -32
  No swap needed
  Compare -32 and 6
  No swap needed
  Compare 6 and 67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -32, 6, 67, 73, 99]
</think>

<response>-92, -32, 6, 67, 73, 99</response>


input: Execute bubble sort to sort 24, 65, 63, 43 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [24, 65, 63, 43]

Pass 1:
  Compare 24 and 65
  No swap needed
  Compare 65 and 63
  Swap 65 and 63
  List after swap: [24, 63, 65, 43]
  Compare 65 and 43
  Swap 65 and 43
  List after swap: [24, 63, 43, 65]

Pass 2:
  Compare 24 and 63
  No swap needed
  Compare 63 and 43
  Swap 63 and 43
  List after swap: [24, 43, 63, 65]

Pass 3:
  Compare 24 and 43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [24, 43, 63, 65]
</think>

<response>24, 43, 63, 65</response>


input: Demonstrate how bubble sort orders the integers -80, -39, 92, -12, 65, 83 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-80, -39, 92, -12, 65, 83]

Pass 1:
  Compare -80 and -39
  No swap needed
  Compare -39 and 92
  No swap needed
  Compare 92 and -12
  Swap 92 and -12
  List after swap: [-80, -39, -12, 92, 65, 83]
  Compare 92 and 65
  Swap 92 and 65
  List after swap: [-80, -39, -12, 65, 92, 83]
  Compare 92 and 83
  Swap 92 and 83
  List after swap: [-80, -39, -12, 65, 83, 92]

Pass 2:
  Compare -80 and -39
  No swap needed
  Compare -39 and -12
  No swap needed
  Compare -12 and 65
  No swap needed
  Compare 65 and 83
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -39, -12, 65, 83, 92]
</think>

<response>-80, -39, -12, 65, 83, 92</response>


input: Use the bubble sort technique to reorder -61, 1, -38, -19, 27 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-61, 1, -38, -19, 27]

Pass 1:
  Compare -61 and 1
  No swap needed
  Compare 1 and -38
  Swap 1 and -38
  List after swap: [-61, -38, 1, -19, 27]
  Compare 1 and -19
  Swap 1 and -19
  List after swap: [-61, -38, -19, 1, 27]
  Compare 1 and 27
  No swap needed

Pass 2:
  Compare -61 and -38
  No swap needed
  Compare -38 and -19
  No swap needed
  Compare -19 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -38, -19, 1, 27]
</think>

<response>-61, -38, -19, 1, 27</response>


input: Sort the list 86, -85, -2, -36, -12, 38 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [86, -85, -2, -36, -12, 38]

Pass 1:
  Compare 86 and -85
  Swap 86 and -85
  List after swap: [-85, 86, -2, -36, -12, 38]
  Compare 86 and -2
  Swap 86 and -2
  List after swap: [-85, -2, 86, -36, -12, 38]
  Compare 86 and -36
  Swap 86 and -36
  List after swap: [-85, -2, -36, 86, -12, 38]
  Compare 86 and -12
  Swap 86 and -12
  List after swap: [-85, -2, -36, -12, 86, 38]
  Compare 86 and 38
  Swap 86 and 38
  List after swap: [-85, -2, -36, -12, 38, 86]

Pass 2:
  Compare -85 and -2
  No swap needed
  Compare -2 and -36
  Swap -2 and -36
  List after swap: [-85, -36, -2, -12, 38, 86]
  Compare -2 and -12
  Swap -2 and -12
  List after swap: [-85, -36, -12, -2, 38, 86]
  Compare -2 and 38
  No swap needed

Pass 3:
  Compare -85 and -36
  No swap needed
  Compare -36 and -12
  No swap needed
  Compare -12 and -2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -36, -12, -2, 38, 86]
</think>

<response>-85, -36, -12, -2, 38, 86</response>


input: Implement bubble sort on 57, -34, -28, -21, -38, -30, -80 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [57, -34, -28, -21, -38, -30, -80]

Pass 1:
  Compare 57 and -34
  Swap 57 and -34
  List after swap: [-34, 57, -28, -21, -38, -30, -80]
  Compare 57 and -28
  Swap 57 and -28
  List after swap: [-34, -28, 57, -21, -38, -30, -80]
  Compare 57 and -21
  Swap 57 and -21
  List after swap: [-34, -28, -21, 57, -38, -30, -80]
  Compare 57 and -38
  Swap 57 and -38
  List after swap: [-34, -28, -21, -38, 57, -30, -80]
  Compare 57 and -30
  Swap 57 and -30
  List after swap: [-34, -28, -21, -38, -30, 57, -80]
  Compare 57 and -80
  Swap 57 and -80
  List after swap: [-34, -28, -21, -38, -30, -80, 57]

Pass 2:
  Compare -34 and -28
  No swap needed
  Compare -28 and -21
  No swap needed
  Compare -21 and -38
  Swap -21 and -38
  List after swap: [-34, -28, -38, -21, -30, -80, 57]
  Compare -21 and -30
  Swap -21 and -30
  List after swap: [-34, -28, -38, -30, -21, -80, 57]
  Compare -21 and -80
  Swap -21 and -80
  List after swap: [-34, -28, -38, -30, -80, -21, 57]

Pass 3:
  Compare -34 and -28
  No swap needed
  Compare -28 and -38
  Swap -28 and -38
  List after swap: [-34, -38, -28, -30, -80, -21, 57]
  Compare -28 and -30
  Swap -28 and -30
  List after swap: [-34, -38, -30, -28, -80, -21, 57]
  Compare -28 and -80
  Swap -28 and -80
  List after swap: [-34, -38, -30, -80, -28, -21, 57]

Pass 4:
  Compare -34 and -38
  Swap -34 and -38
  List after swap: [-38, -34, -30, -80, -28, -21, 57]
  Compare -34 and -30
  No swap needed
  Compare -30 and -80
  Swap -30 and -80
  List after swap: [-38, -34, -80, -30, -28, -21, 57]

Pass 5:
  Compare -38 and -34
  No swap needed
  Compare -34 and -80
  Swap -34 and -80
  List after swap: [-38, -80, -34, -30, -28, -21, 57]

Pass 6:
  Compare -38 and -80
  Swap -38 and -80
  List after swap: [-80, -38, -34, -30, -28, -21, 57]

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

Final sorted list: [-80, -38, -34, -30, -28, -21, 57]
</think>

<response>-80, -38, -34, -30, -28, -21, 57</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -90, -32.

output:
<think>
Initial list: [-90, -32]

Pass 1:
  Compare -90 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -32]
</think>

<response>-90, -32</response>


input: Perform a bubble sort on the integers -34, 76, -95, -70, -84, 41, -90, -16, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-34, 76, -95, -70, -84, 41, -90, -16]

Pass 1:
  Compare -34 and 76
  No swap needed
  Compare 76 and -95
  Swap 76 and -95
  List after swap: [-34, -95, 76, -70, -84, 41, -90, -16]
  Compare 76 and -70
  Swap 76 and -70
  List after swap: [-34, -95, -70, 76, -84, 41, -90, -16]
  Compare 76 and -84
  Swap 76 and -84
  List after swap: [-34, -95, -70, -84, 76, 41, -90, -16]
  Compare 76 and 41
  Swap 76 and 41
  List after swap: [-34, -95, -70, -84, 41, 76, -90, -16]
  Compare 76 and -90
  Swap 76 and -90
  List after swap: [-34, -95, -70, -84, 41, -90, 76, -16]
  Compare 76 and -16
  Swap 76 and -16
  List after swap: [-34, -95, -70, -84, 41, -90, -16, 76]

Pass 2:
  Compare -34 and -95
  Swap -34 and -95
  List after swap: [-95, -34, -70, -84, 41, -90, -16, 76]
  Compare -34 and -70
  Swap -34 and -70
  List after swap: [-95, -70, -34, -84, 41, -90, -16, 76]
  Compare -34 and -84
  Swap -34 and -84
  List after swap: [-95, -70, -84, -34, 41, -90, -16, 76]
  Compare -34 and 41
  No swap needed
  Compare 41 and -90
  Swap 41 and -90
  List after swap: [-95, -70, -84, -34, -90, 41, -16, 76]
  Compare 41 and -16
  Swap 41 and -16
  List after swap: [-95, -70, -84, -34, -90, -16, 41, 76]

Pass 3:
  Compare -95 and -70
  No swap needed
  Compare -70 and -84
  Swap -70 and -84
  List after swap: [-95, -84, -70, -34, -90, -16, 41, 76]
  Compare -70 and -34
  No swap needed
  Compare -34 and -90
  Swap -34 and -90
  List after swap: [-95, -84, -70, -90, -34, -16, 41, 76]
  Compare -34 and -16
  No swap needed

Pass 4:
  Compare -95 and -84
  No swap needed
  Compare -84 and -70
  No swap needed
  Compare -70 and -90
  Swap -70 and -90
  List after swap: [-95, -84, -90, -70, -34, -16, 41, 76]
  Compare -70 and -34
  No swap needed

Pass 5:
  Compare -95 and -84
  No swap needed
  Compare -84 and -90
  Swap -84 and -90
  List after swap: [-95, -90, -84, -70, -34, -16, 41, 76]
  Compare -84 and -70
  No swap needed

Pass 6:
  Compare -95 and -90
  No swap needed
  Compare -90 and -84
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -90, -84, -70, -34, -16, 41, 76]
</think>

<response>-95, -90, -84, -70, -34, -16, 41, 76</response>


input: Execute bubble sort to sort -13, 82 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-13, 82]

Pass 1:
  Compare -13 and 82
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-13, 82]
</think>

<response>-13, 82</response>


input: Use the bubble sort technique to reorder -75, 10, -96, -29, 42, -3, -16, 53, -33, -93 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-75, 10, -96, -29, 42, -3, -16, 53, -33, -93]

Pass 1:
  Compare -75 and 10
  No swap needed
  Compare 10 and -96
  Swap 10 and -96
  List after swap: [-75, -96, 10, -29, 42, -3, -16, 53, -33, -93]
  Compare 10 and -29
  Swap 10 and -29
  List after swap: [-75, -96, -29, 10, 42, -3, -16, 53, -33, -93]
  Compare 10 and 42
  No swap needed
  Compare 42 and -3
  Swap 42 and -3
  List after swap: [-75, -96, -29, 10, -3, 42, -16, 53, -33, -93]
  Compare 42 and -16
  Swap 42 and -16
  List after swap: [-75, -96, -29, 10, -3, -16, 42, 53, -33, -93]
  Compare 42 and 53
  No swap needed
  Compare 53 and -33
  Swap 53 and -33
  List after swap: [-75, -96, -29, 10, -3, -16, 42, -33, 53, -93]
  Compare 53 and -93
  Swap 53 and -93
  List after swap: [-75, -96, -29, 10, -3, -16, 42, -33, -93, 53]

Pass 2:
  Compare -75 and -96
  Swap -75 and -96
  List after swap: [-96, -75, -29, 10, -3, -16, 42, -33, -93, 53]
  Compare -75 and -29
  No swap needed
  Compare -29 and 10
  No swap needed
  Compare 10 and -3
  Swap 10 and -3
  List after swap: [-96, -75, -29, -3, 10, -16, 42, -33, -93, 53]
  Compare 10 and -16
  Swap 10 and -16
  List after swap: [-96, -75, -29, -3, -16, 10, 42, -33, -93, 53]
  Compare 10 and 42
  No swap needed
  Compare 42 and -33
  Swap 42 and -33
  List after swap: [-96, -75, -29, -3, -16, 10, -33, 42, -93, 53]
  Compare 42 and -93
  Swap 42 and -93
  List after swap: [-96, -75, -29, -3, -16, 10, -33, -93, 42, 53]

Pass 3:
  Compare -96 and -75
  No swap needed
  Compare -75 and -29
  No swap needed
  Compare -29 and -3
  No swap needed
  Compare -3 and -16
  Swap -3 and -16
  List after swap: [-96, -75, -29, -16, -3, 10, -33, -93, 42, 53]
  Compare -3 and 10
  No swap needed
  Compare 10 and -33
  Swap 10 and -33
  List after swap: [-96, -75, -29, -16, -3, -33, 10, -93, 42, 53]
  Compare 10 and -93
  Swap 10 and -93
  List after swap: [-96, -75, -29, -16, -3, -33, -93, 10, 42, 53]

Pass 4:
  Compare -96 and -75
  No swap needed
  Compare -75 and -29
  No swap needed
  Compare -29 and -16
  No swap needed
  Compare -16 and -3
  No swap needed
  Compare -3 and -33
  Swap -3 and -33
  List after swap: [-96, -75, -29, -16, -33, -3, -93, 10, 42, 53]
  Compare -3 and -93
  Swap -3 and -93
  List after swap: [-96, -75, -29, -16, -33, -93, -3, 10, 42, 53]

Pass 5:
  Compare -96 and -75
  No swap needed
  Compare -75 and -29
  No swap needed
  Compare -29 and -16
  No swap needed
  Compare -16 and -33
  Swap -16 and -33
  List after swap: [-96, -75, -29, -33, -16, -93, -3, 10, 42, 53]
  Compare -16 and -93
  Swap -16 and -93
  List after swap: [-96, -75, -29, -33, -93, -16, -3, 10, 42, 53]

Pass 6:
  Compare -96 and -75
  No swap needed
  Compare -75 and -29
  No swap needed
  Compare -29 and -33
  Swap -29 and -33
  List after swap: [-96, -75, -33, -29, -93, -16, -3, 10, 42, 53]
  Compare -29 and -93
  Swap -29 and -93
  List after swap: [-96, -75, -33, -93, -29, -16, -3, 10, 42, 53]

Pass 7:
  Compare -96 and -75
  No swap needed
  Compare -75 and -33
  No swap needed
  Compare -33 and -93
  Swap -33 and -93
  List after swap: [-96, -75, -93, -33, -29, -16, -3, 10, 42, 53]

Pass 8:
  Compare -96 and -75
  No swap needed
  Compare -75 and -93
  Swap -75 and -93
  List after swap: [-96, -93, -75, -33, -29, -16, -3, 10, 42, 53]

Pass 9:
  Compare -96 and -93
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -93, -75, -33, -29, -16, -3, 10, 42, 53]
</think>

<response>-96, -93, -75, -33, -29, -16, -3, 10, 42, 53</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 92, 69, 81, -43, 38, -2, -54, 43, -96, 42.

output:
<think>
Initial list: [92, 69, 81, -43, 38, -2, -54, 43, -96, 42]

Pass 1:
  Compare 92 and 69
  Swap 92 and 69
  List after swap: [69, 92, 81, -43, 38, -2, -54, 43, -96, 42]
  Compare 92 and 81
  Swap 92 and 81
  List after swap: [69, 81, 92, -43, 38, -2, -54, 43, -96, 42]
  Compare 92 and -43
  Swap 92 and -43
  List after swap: [69, 81, -43, 92, 38, -2, -54, 43, -96, 42]
  Compare 92 and 38
  Swap 92 and 38
  List after swap: [69, 81, -43, 38, 92, -2, -54, 43, -96, 42]
  Compare 92 and -2
  Swap 92 and -2
  List after swap: [69, 81, -43, 38, -2, 92, -54, 43, -96, 42]
  Compare 92 and -54
  Swap 92 and -54
  List after swap: [69, 81, -43, 38, -2, -54, 92, 43, -96, 42]
  Compare 92 and 43
  Swap 92 and 43
  List after swap: [69, 81, -43, 38, -2, -54, 43, 92, -96, 42]
  Compare 92 and -96
  Swap 92 and -96
  List after swap: [69, 81, -43, 38, -2, -54, 43, -96, 92, 42]
  Compare 92 and 42
  Swap 92 and 42
  List after swap: [69, 81, -43, 38, -2, -54, 43, -96, 42, 92]

Pass 2:
  Compare 69 and 81
  No swap needed
  Compare 81 and -43
  Swap 81 and -43
  List after swap: [69, -43, 81, 38, -2, -54, 43, -96, 42, 92]
  Compare 81 and 38
  Swap 81 and 38
  List after swap: [69, -43, 38, 81, -2, -54, 43, -96, 42, 92]
  Compare 81 and -2
  Swap 81 and -2
  List after swap: [69, -43, 38, -2, 81, -54, 43, -96, 42, 92]
  Compare 81 and -54
  Swap 81 and -54
  List after swap: [69, -43, 38, -2, -54, 81, 43, -96, 42, 92]
  Compare 81 and 43
  Swap 81 and 43
  List after swap: [69, -43, 38, -2, -54, 43, 81, -96, 42, 92]
  Compare 81 and -96
  Swap 81 and -96
  List after swap: [69, -43, 38, -2, -54, 43, -96, 81, 42, 92]
  Compare 81 and 42
  Swap 81 and 42
  List after swap: [69, -43, 38, -2, -54, 43, -96, 42, 81, 92]

Pass 3:
  Compare 69 and -43
  Swap 69 and -43
  List after swap: [-43, 69, 38, -2, -54, 43, -96, 42, 81, 92]
  Compare 69 and 38
  Swap 69 and 38
  List after swap: [-43, 38, 69, -2, -54, 43, -96, 42, 81, 92]
  Compare 69 and -2
  Swap 69 and -2
  List after swap: [-43, 38, -2, 69, -54, 43, -96, 42, 81, 92]
  Compare 69 and -54
  Swap 69 and -54
  List after swap: [-43, 38, -2, -54, 69, 43, -96, 42, 81, 92]
  Compare 69 and 43
  Swap 69 and 43
  List after swap: [-43, 38, -2, -54, 43, 69, -96, 42, 81, 92]
  Compare 69 and -96
  Swap 69 and -96
  List after swap: [-43, 38, -2, -54, 43, -96, 69, 42, 81, 92]
  Compare 69 and 42
  Swap 69 and 42
  List after swap: [-43, 38, -2, -54, 43, -96, 42, 69, 81, 92]

Pass 4:
  Compare -43 and 38
  No swap needed
  Compare 38 and -2
  Swap 38 and -2
  List after swap: [-43, -2, 38, -54, 43, -96, 42, 69, 81, 92]
  Compare 38 and -54
  Swap 38 and -54
  List after swap: [-43, -2, -54, 38, 43, -96, 42, 69, 81, 92]
  Compare 38 and 43
  No swap needed
  Compare 43 and -96
  Swap 43 and -96
  List after swap: [-43, -2, -54, 38, -96, 43, 42, 69, 81, 92]
  Compare 43 and 42
  Swap 43 and 42
  List after swap: [-43, -2, -54, 38, -96, 42, 43, 69, 81, 92]

Pass 5:
  Compare -43 and -2
  No swap needed
  Compare -2 and -54
  Swap -2 and -54
  List after swap: [-43, -54, -2, 38, -96, 42, 43, 69, 81, 92]
  Compare -2 and 38
  No swap needed
  Compare 38 and -96
  Swap 38 and -96
  List after swap: [-43, -54, -2, -96, 38, 42, 43, 69, 81, 92]
  Compare 38 and 42
  No swap needed

Pass 6:
  Compare -43 and -54
  Swap -43 and -54
  List after swap: [-54, -43, -2, -96, 38, 42, 43, 69, 81, 92]
  Compare -43 and -2
  No swap needed
  Compare -2 and -96
  Swap -2 and -96
  List after swap: [-54, -43, -96, -2, 38, 42, 43, 69, 81, 92]
  Compare -2 and 38
  No swap needed

Pass 7:
  Compare -54 and -43
  No swap needed
  Compare -43 and -96
  Swap -43 and -96
  List after swap: [-54, -96, -43, -2, 38, 42, 43, 69, 81, 92]
  Compare -43 and -2
  No swap needed

Pass 8:
  Compare -54 and -96
  Swap -54 and -96
  List after swap: [-96, -54, -43, -2, 38, 42, 43, 69, 81, 92]
  Compare -54 and -43
  No swap needed

Pass 9:
  Compare -96 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -54, -43, -2, 38, 42, 43, 69, 81, 92]
</think>

<response>-96, -54, -43, -2, 38, 42, 43, 69, 81, 92</response>


input: Arrange the numbers 86, -59, 42, -1 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [86, -59, 42, -1]

Pass 1:
  Compare 86 and -59
  Swap 86 and -59
  List after swap: [-59, 86, 42, -1]
  Compare 86 and 42
  Swap 86 and 42
  List after swap: [-59, 42, 86, -1]
  Compare 86 and -1
  Swap 86 and -1
  List after swap: [-59, 42, -1, 86]

Pass 2:
  Compare -59 and 42
  No swap needed
  Compare 42 and -1
  Swap 42 and -1
  List after swap: [-59, -1, 42, 86]

Pass 3:
  Compare -59 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, -1, 42, 86]
</think>

<response>-59, -1, 42, 86</response>


input: Arrange the numbers 43, 0, -30, -93, 95, 96, 15, -64, 75, -71 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [43, 0, -30, -93, 95, 96, 15, -64, 75, -71]

Pass 1:
  Compare 43 and 0
  Swap 43 and 0
  List after swap: [0, 43, -30, -93, 95, 96, 15, -64, 75, -71]
  Compare 43 and -30
  Swap 43 and -30
  List after swap: [0, -30, 43, -93, 95, 96, 15, -64, 75, -71]
  Compare 43 and -93
  Swap 43 and -93
  List after swap: [0, -30, -93, 43, 95, 96, 15, -64, 75, -71]
  Compare 43 and 95
  No swap needed
  Compare 95 and 96
  No swap needed
  Compare 96 and 15
  Swap 96 and 15
  List after swap: [0, -30, -93, 43, 95, 15, 96, -64, 75, -71]
  Compare 96 and -64
  Swap 96 and -64
  List after swap: [0, -30, -93, 43, 95, 15, -64, 96, 75, -71]
  Compare 96 and 75
  Swap 96 and 75
  List after swap: [0, -30, -93, 43, 95, 15, -64, 75, 96, -71]
  Compare 96 and -71
  Swap 96 and -71
  List after swap: [0, -30, -93, 43, 95, 15, -64, 75, -71, 96]

Pass 2:
  Compare 0 and -30
  Swap 0 and -30
  List after swap: [-30, 0, -93, 43, 95, 15, -64, 75, -71, 96]
  Compare 0 and -93
  Swap 0 and -93
  List after swap: [-30, -93, 0, 43, 95, 15, -64, 75, -71, 96]
  Compare 0 and 43
  No swap needed
  Compare 43 and 95
  No swap needed
  Compare 95 and 15
  Swap 95 and 15
  List after swap: [-30, -93, 0, 43, 15, 95, -64, 75, -71, 96]
  Compare 95 and -64
  Swap 95 and -64
  List after swap: [-30, -93, 0, 43, 15, -64, 95, 75, -71, 96]
  Compare 95 and 75
  Swap 95 and 75
  List after swap: [-30, -93, 0, 43, 15, -64, 75, 95, -71, 96]
  Compare 95 and -71
  Swap 95 and -71
  List after swap: [-30, -93, 0, 43, 15, -64, 75, -71, 95, 96]

Pass 3:
  Compare -30 and -93
  Swap -30 and -93
  List after swap: [-93, -30, 0, 43, 15, -64, 75, -71, 95, 96]
  Compare -30 and 0
  No swap needed
  Compare 0 and 43
  No swap needed
  Compare 43 and 15
  Swap 43 and 15
  List after swap: [-93, -30, 0, 15, 43, -64, 75, -71, 95, 96]
  Compare 43 and -64
  Swap 43 and -64
  List after swap: [-93, -30, 0, 15, -64, 43, 75, -71, 95, 96]
  Compare 43 and 75
  No swap needed
  Compare 75 and -71
  Swap 75 and -71
  List after swap: [-93, -30, 0, 15, -64, 43, -71, 75, 95, 96]

Pass 4:
  Compare -93 and -30
  No swap needed
  Compare -30 and 0
  No swap needed
  Compare 0 and 15
  No swap needed
  Compare 15 and -64
  Swap 15 and -64
  List after swap: [-93, -30, 0, -64, 15, 43, -71, 75, 95, 96]
  Compare 15 and 43
  No swap needed
  Compare 43 and -71
  Swap 43 and -71
  List after swap: [-93, -30, 0, -64, 15, -71, 43, 75, 95, 96]

Pass 5:
  Compare -93 and -30
  No swap needed
  Compare -30 and 0
  No swap needed
  Compare 0 and -64
  Swap 0 and -64
  List after swap: [-93, -30, -64, 0, 15, -71, 43, 75, 95, 96]
  Compare 0 and 15
  No swap needed
  Compare 15 and -71
  Swap 15 and -71
  List after swap: [-93, -30, -64, 0, -71, 15, 43, 75, 95, 96]

Pass 6:
  Compare -93 and -30
  No swap needed
  Compare -30 and -64
  Swap -30 and -64
  List after swap: [-93, -64, -30, 0, -71, 15, 43, 75, 95, 96]
  Compare -30 and 0
  No swap needed
  Compare 0 and -71
  Swap 0 and -71
  List after swap: [-93, -64, -30, -71, 0, 15, 43, 75, 95, 96]

Pass 7:
  Compare -93 and -64
  No swap needed
  Compare -64 and -30
  No swap needed
  Compare -30 and -71
  Swap -30 and -71
  List after swap: [-93, -64, -71, -30, 0, 15, 43, 75, 95, 96]

Pass 8:
  Compare -93 and -64
  No swap needed
  Compare -64 and -71
  Swap -64 and -71
  List after swap: [-93, -71, -64, -30, 0, 15, 43, 75, 95, 96]

Pass 9:
  Compare -93 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -71, -64, -30, 0, 15, 43, 75, 95, 96]
</think>

<response>-93, -71, -64, -30, 0, 15, 43, 75, 95, 96</response>


input: Perform a bubble sort on the integers -8, -31, 95, 53, -81, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-8, -31, 95, 53, -81]

Pass 1:
  Compare -8 and -31
  Swap -8 and -31
  List after swap: [-31, -8, 95, 53, -81]
  Compare -8 and 95
  No swap needed
  Compare 95 and 53
  Swap 95 and 53
  List after swap: [-31, -8, 53, 95, -81]
  Compare 95 and -81
  Swap 95 and -81
  List after swap: [-31, -8, 53, -81, 95]

Pass 2:
  Compare -31 and -8
  No swap needed
  Compare -8 and 53
  No swap needed
  Compare 53 and -81
  Swap 53 and -81
  List after swap: [-31, -8, -81, 53, 95]

Pass 3:
  Compare -31 and -8
  No swap needed
  Compare -8 and -81
  Swap -8 and -81
  List after swap: [-31, -81, -8, 53, 95]

Pass 4:
  Compare -31 and -81
  Swap -31 and -81
  List after swap: [-81, -31, -8, 53, 95]

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

Final sorted list: [-81, -31, -8, 53, 95]
</think>

<response>-81, -31, -8, 53, 95</response>


input: Sort these integers -12, 99, 23, 26, -28, 49, -78, -2, -18, 57 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-12, 99, 23, 26, -28, 49, -78, -2, -18, 57]

Pass 1:
  Compare -12 and 99
  No swap needed
  Compare 99 and 23
  Swap 99 and 23
  List after swap: [-12, 23, 99, 26, -28, 49, -78, -2, -18, 57]
  Compare 99 and 26
  Swap 99 and 26
  List after swap: [-12, 23, 26, 99, -28, 49, -78, -2, -18, 57]
  Compare 99 and -28
  Swap 99 and -28
  List after swap: [-12, 23, 26, -28, 99, 49, -78, -2, -18, 57]
  Compare 99 and 49
  Swap 99 and 49
  List after swap: [-12, 23, 26, -28, 49, 99, -78, -2, -18, 57]
  Compare 99 and -78
  Swap 99 and -78
  List after swap: [-12, 23, 26, -28, 49, -78, 99, -2, -18, 57]
  Compare 99 and -2
  Swap 99 and -2
  List after swap: [-12, 23, 26, -28, 49, -78, -2, 99, -18, 57]
  Compare 99 and -18
  Swap 99 and -18
  List after swap: [-12, 23, 26, -28, 49, -78, -2, -18, 99, 57]
  Compare 99 and 57
  Swap 99 and 57
  List after swap: [-12, 23, 26, -28, 49, -78, -2, -18, 57, 99]

Pass 2:
  Compare -12 and 23
  No swap needed
  Compare 23 and 26
  No swap needed
  Compare 26 and -28
  Swap 26 and -28
  List after swap: [-12, 23, -28, 26, 49, -78, -2, -18, 57, 99]
  Compare 26 and 49
  No swap needed
  Compare 49 and -78
  Swap 49 and -78
  List after swap: [-12, 23, -28, 26, -78, 49, -2, -18, 57, 99]
  Compare 49 and -2
  Swap 49 and -2
  List after swap: [-12, 23, -28, 26, -78, -2, 49, -18, 57, 99]
  Compare 49 and -18
  Swap 49 and -18
  List after swap: [-12, 23, -28, 26, -78, -2, -18, 49, 57, 99]
  Compare 49 and 57
  No swap needed

Pass 3:
  Compare -12 and 23
  No swap needed
  Compare 23 and -28
  Swap 23 and -28
  List after swap: [-12, -28, 23, 26, -78, -2, -18, 49, 57, 99]
  Compare 23 and 26
  No swap needed
  Compare 26 and -78
  Swap 26 and -78
  List after swap: [-12, -28, 23, -78, 26, -2, -18, 49, 57, 99]
  Compare 26 and -2
  Swap 26 and -2
  List after swap: [-12, -28, 23, -78, -2, 26, -18, 49, 57, 99]
  Compare 26 and -18
  Swap 26 and -18
  List after swap: [-12, -28, 23, -78, -2, -18, 26, 49, 57, 99]
  Compare 26 and 49
  No swap needed

Pass 4:
  Compare -12 and -28
  Swap -12 and -28
  List after swap: [-28, -12, 23, -78, -2, -18, 26, 49, 57, 99]
  Compare -12 and 23
  No swap needed
  Compare 23 and -78
  Swap 23 and -78
  List after swap: [-28, -12, -78, 23, -2, -18, 26, 49, 57, 99]
  Compare 23 and -2
  Swap 23 and -2
  List after swap: [-28, -12, -78, -2, 23, -18, 26, 49, 57, 99]
  Compare 23 and -18
  Swap 23 and -18
  List after swap: [-28, -12, -78, -2, -18, 23, 26, 49, 57, 99]
  Compare 23 and 26
  No swap needed

Pass 5:
  Compare -28 and -12
  No swap needed
  Compare -12 and -78
  Swap -12 and -78
  List after swap: [-28, -78, -12, -2, -18, 23, 26, 49, 57, 99]
  Compare -12 and -2
  No swap needed
  Compare -2 and -18
  Swap -2 and -18
  List after swap: [-28, -78, -12, -18, -2, 23, 26, 49, 57, 99]
  Compare -2 and 23
  No swap needed

Pass 6:
  Compare -28 and -78
  Swap -28 and -78
  List after swap: [-78, -28, -12, -18, -2, 23, 26, 49, 57, 99]
  Compare -28 and -12
  No swap needed
  Compare -12 and -18
  Swap -12 and -18
  List after swap: [-78, -28, -18, -12, -2, 23, 26, 49, 57, 99]
  Compare -12 and -2
  No swap needed

Pass 7:
  Compare -78 and -28
  No swap needed
  Compare -28 and -18
  No swap needed
  Compare -18 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -28, -18, -12, -2, 23, 26, 49, 57, 99]
</think>

<response>-78, -28, -18, -12, -2, 23, 26, 49, 57, 99</response>


input: Implement bubble sort on -44, 78, -19, 98, -20, 65, -3, 61, -29 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-44, 78, -19, 98, -20, 65, -3, 61, -29]

Pass 1:
  Compare -44 and 78
  No swap needed
  Compare 78 and -19
  Swap 78 and -19
  List after swap: [-44, -19, 78, 98, -20, 65, -3, 61, -29]
  Compare 78 and 98
  No swap needed
  Compare 98 and -20
  Swap 98 and -20
  List after swap: [-44, -19, 78, -20, 98, 65, -3, 61, -29]
  Compare 98 and 65
  Swap 98 and 65
  List after swap: [-44, -19, 78, -20, 65, 98, -3, 61, -29]
  Compare 98 and -3
  Swap 98 and -3
  List after swap: [-44, -19, 78, -20, 65, -3, 98, 61, -29]
  Compare 98 and 61
  Swap 98 and 61
  List after swap: [-44, -19, 78, -20, 65, -3, 61, 98, -29]
  Compare 98 and -29
  Swap 98 and -29
  List after swap: [-44, -19, 78, -20, 65, -3, 61, -29, 98]

Pass 2:
  Compare -44 and -19
  No swap needed
  Compare -19 and 78
  No swap needed
  Compare 78 and -20
  Swap 78 and -20
  List after swap: [-44, -19, -20, 78, 65, -3, 61, -29, 98]
  Compare 78 and 65
  Swap 78 and 65
  List after swap: [-44, -19, -20, 65, 78, -3, 61, -29, 98]
  Compare 78 and -3
  Swap 78 and -3
  List after swap: [-44, -19, -20, 65, -3, 78, 61, -29, 98]
  Compare 78 and 61
  Swap 78 and 61
  List after swap: [-44, -19, -20, 65, -3, 61, 78, -29, 98]
  Compare 78 and -29
  Swap 78 and -29
  List after swap: [-44, -19, -20, 65, -3, 61, -29, 78, 98]

Pass 3:
  Compare -44 and -19
  No swap needed
  Compare -19 and -20
  Swap -19 and -20
  List after swap: [-44, -20, -19, 65, -3, 61, -29, 78, 98]
  Compare -19 and 65
  No swap needed
  Compare 65 and -3
  Swap 65 and -3
  List after swap: [-44, -20, -19, -3, 65, 61, -29, 78, 98]
  Compare 65 and 61
  Swap 65 and 61
  List after swap: [-44, -20, -19, -3, 61, 65, -29, 78, 98]
  Compare 65 and -29
  Swap 65 and -29
  List after swap: [-44, -20, -19, -3, 61, -29, 65, 78, 98]

Pass 4:
  Compare -44 and -20
  No swap needed
  Compare -20 and -19
  No swap needed
  Compare -19 and -3
  No swap needed
  Compare -3 and 61
  No swap needed
  Compare 61 and -29
  Swap 61 and -29
  List after swap: [-44, -20, -19, -3, -29, 61, 65, 78, 98]

Pass 5:
  Compare -44 and -20
  No swap needed
  Compare -20 and -19
  No swap needed
  Compare -19 and -3
  No swap needed
  Compare -3 and -29
  Swap -3 and -29
  List after swap: [-44, -20, -19, -29, -3, 61, 65, 78, 98]

Pass 6:
  Compare -44 and -20
  No swap needed
  Compare -20 and -19
  No swap needed
  Compare -19 and -29
  Swap -19 and -29
  List after swap: [-44, -20, -29, -19, -3, 61, 65, 78, 98]

Pass 7:
  Compare -44 and -20
  No swap needed
  Compare -20 and -29
  Swap -20 and -29
  List after swap: [-44, -29, -20, -19, -3, 61, 65, 78, 98]

Pass 8:
  Compare -44 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-44, -29, -20, -19, -3, 61, 65, 78, 98]
</think>

<response>-44, -29, -20, -19, -3, 61, 65, 78, 98</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 70, 79, 62.

output:
<think>
Initial list: [70, 79, 62]

Pass 1:
  Compare 70 and 79
  No swap needed
  Compare 79 and 62
  Swap 79 and 62
  List after swap: [70, 62, 79]

Pass 2:
  Compare 70 and 62
  Swap 70 and 62
  List after swap: [62, 70, 79]

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

Final sorted list: [62, 70, 79]
</think>

<response>62, 70, 79</response>


input: Using the bubble sort method, sort 66, -43, 89, 14, 90, 92, -13, 52, 64, -65 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [66, -43, 89, 14, 90, 92, -13, 52, 64, -65]

Pass 1:
  Compare 66 and -43
  Swap 66 and -43
  List after swap: [-43, 66, 89, 14, 90, 92, -13, 52, 64, -65]
  Compare 66 and 89
  No swap needed
  Compare 89 and 14
  Swap 89 and 14
  List after swap: [-43, 66, 14, 89, 90, 92, -13, 52, 64, -65]
  Compare 89 and 90
  No swap needed
  Compare 90 and 92
  No swap needed
  Compare 92 and -13
  Swap 92 and -13
  List after swap: [-43, 66, 14, 89, 90, -13, 92, 52, 64, -65]
  Compare 92 and 52
  Swap 92 and 52
  List after swap: [-43, 66, 14, 89, 90, -13, 52, 92, 64, -65]
  Compare 92 and 64
  Swap 92 and 64
  List after swap: [-43, 66, 14, 89, 90, -13, 52, 64, 92, -65]
  Compare 92 and -65
  Swap 92 and -65
  List after swap: [-43, 66, 14, 89, 90, -13, 52, 64, -65, 92]

Pass 2:
  Compare -43 and 66
  No swap needed
  Compare 66 and 14
  Swap 66 and 14
  List after swap: [-43, 14, 66, 89, 90, -13, 52, 64, -65, 92]
  Compare 66 and 89
  No swap needed
  Compare 89 and 90
  No swap needed
  Compare 90 and -13
  Swap 90 and -13
  List after swap: [-43, 14, 66, 89, -13, 90, 52, 64, -65, 92]
  Compare 90 and 52
  Swap 90 and 52
  List after swap: [-43, 14, 66, 89, -13, 52, 90, 64, -65, 92]
  Compare 90 and 64
  Swap 90 and 64
  List after swap: [-43, 14, 66, 89, -13, 52, 64, 90, -65, 92]
  Compare 90 and -65
  Swap 90 and -65
  List after swap: [-43, 14, 66, 89, -13, 52, 64, -65, 90, 92]

Pass 3:
  Compare -43 and 14
  No swap needed
  Compare 14 and 66
  No swap needed
  Compare 66 and 89
  No swap needed
  Compare 89 and -13
  Swap 89 and -13
  List after swap: [-43, 14, 66, -13, 89, 52, 64, -65, 90, 92]
  Compare 89 and 52
  Swap 89 and 52
  List after swap: [-43, 14, 66, -13, 52, 89, 64, -65, 90, 92]
  Compare 89 and 64
  Swap 89 and 64
  List after swap: [-43, 14, 66, -13, 52, 64, 89, -65, 90, 92]
  Compare 89 and -65
  Swap 89 and -65
  List after swap: [-43, 14, 66, -13, 52, 64, -65, 89, 90, 92]

Pass 4:
  Compare -43 and 14
  No swap needed
  Compare 14 and 66
  No swap needed
  Compare 66 and -13
  Swap 66 and -13
  List after swap: [-43, 14, -13, 66, 52, 64, -65, 89, 90, 92]
  Compare 66 and 52
  Swap 66 and 52
  List after swap: [-43, 14, -13, 52, 66, 64, -65, 89, 90, 92]
  Compare 66 and 64
  Swap 66 and 64
  List after swap: [-43, 14, -13, 52, 64, 66, -65, 89, 90, 92]
  Compare 66 and -65
  Swap 66 and -65
  List after swap: [-43, 14, -13, 52, 64, -65, 66, 89, 90, 92]

Pass 5:
  Compare -43 and 14
  No swap needed
  Compare 14 and -13
  Swap 14 and -13
  List after swap: [-43, -13, 14, 52, 64, -65, 66, 89, 90, 92]
  Compare 14 and 52
  No swap needed
  Compare 52 and 64
  No swap needed
  Compare 64 and -65
  Swap 64 and -65
  List after swap: [-43, -13, 14, 52, -65, 64, 66, 89, 90, 92]

Pass 6:
  Compare -43 and -13
  No swap needed
  Compare -13 and 14
  No swap needed
  Compare 14 and 52
  No swap needed
  Compare 52 and -65
  Swap 52 and -65
  List after swap: [-43, -13, 14, -65, 52, 64, 66, 89, 90, 92]

Pass 7:
  Compare -43 and -13
  No swap needed
  Compare -13 and 14
  No swap needed
  Compare 14 and -65
  Swap 14 and -65
  List after swap: [-43, -13, -65, 14, 52, 64, 66, 89, 90, 92]

Pass 8:
  Compare -43 and -13
  No swap needed
  Compare -13 and -65
  Swap -13 and -65
  List after swap: [-43, -65, -13, 14, 52, 64, 66, 89, 90, 92]

Pass 9:
  Compare -43 and -65
  Swap -43 and -65
  List after swap: [-65, -43, -13, 14, 52, 64, 66, 89, 90, 92]

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

Final sorted list: [-65, -43, -13, 14, 52, 64, 66, 89, 90, 92]
</think>

<response>-65, -43, -13, 14, 52, 64, 66, 89, 90, 92</response>


input: Perform a bubble sort on the integers 72, 21, 12, -58, -61, -77, 2, 90, 45, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [72, 21, 12, -58, -61, -77, 2, 90, 45]

Pass 1:
  Compare 72 and 21
  Swap 72 and 21
  List after swap: [21, 72, 12, -58, -61, -77, 2, 90, 45]
  Compare 72 and 12
  Swap 72 and 12
  List after swap: [21, 12, 72, -58, -61, -77, 2, 90, 45]
  Compare 72 and -58
  Swap 72 and -58
  List after swap: [21, 12, -58, 72, -61, -77, 2, 90, 45]
  Compare 72 and -61
  Swap 72 and -61
  List after swap: [21, 12, -58, -61, 72, -77, 2, 90, 45]
  Compare 72 and -77
  Swap 72 and -77
  List after swap: [21, 12, -58, -61, -77, 72, 2, 90, 45]
  Compare 72 and 2
  Swap 72 and 2
  List after swap: [21, 12, -58, -61, -77, 2, 72, 90, 45]
  Compare 72 and 90
  No swap needed
  Compare 90 and 45
  Swap 90 and 45
  List after swap: [21, 12, -58, -61, -77, 2, 72, 45, 90]

Pass 2:
  Compare 21 and 12
  Swap 21 and 12
  List after swap: [12, 21, -58, -61, -77, 2, 72, 45, 90]
  Compare 21 and -58
  Swap 21 and -58
  List after swap: [12, -58, 21, -61, -77, 2, 72, 45, 90]
  Compare 21 and -61
  Swap 21 and -61
  List after swap: [12, -58, -61, 21, -77, 2, 72, 45, 90]
  Compare 21 and -77
  Swap 21 and -77
  List after swap: [12, -58, -61, -77, 21, 2, 72, 45, 90]
  Compare 21 and 2
  Swap 21 and 2
  List after swap: [12, -58, -61, -77, 2, 21, 72, 45, 90]
  Compare 21 and 72
  No swap needed
  Compare 72 and 45
  Swap 72 and 45
  List after swap: [12, -58, -61, -77, 2, 21, 45, 72, 90]

Pass 3:
  Compare 12 and -58
  Swap 12 and -58
  List after swap: [-58, 12, -61, -77, 2, 21, 45, 72, 90]
  Compare 12 and -61
  Swap 12 and -61
  List after swap: [-58, -61, 12, -77, 2, 21, 45, 72, 90]
  Compare 12 and -77
  Swap 12 and -77
  List after swap: [-58, -61, -77, 12, 2, 21, 45, 72, 90]
  Compare 12 and 2
  Swap 12 and 2
  List after swap: [-58, -61, -77, 2, 12, 21, 45, 72, 90]
  Compare 12 and 21
  No swap needed
  Compare 21 and 45
  No swap needed

Pass 4:
  Compare -58 and -61
  Swap -58 and -61
  List after swap: [-61, -58, -77, 2, 12, 21, 45, 72, 90]
  Compare -58 and -77
  Swap -58 and -77
  List after swap: [-61, -77, -58, 2, 12, 21, 45, 72, 90]
  Compare -58 and 2
  No swap needed
  Compare 2 and 12
  No swap needed
  Compare 12 and 21
  No swap needed

Pass 5:
  Compare -61 and -77
  Swap -61 and -77
  List after swap: [-77, -61, -58, 2, 12, 21, 45, 72, 90]
  Compare -61 and -58
  No swap needed
  Compare -58 and 2
  No swap needed
  Compare 2 and 12
  No swap needed

Pass 6:
  Compare -77 and -61
  No swap needed
  Compare -61 and -58
  No swap needed
  Compare -58 and 2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -61, -58, 2, 12, 21, 45, 72, 90]
</think>

<response>-77, -61, -58, 2, 12, 21, 45, 72, 90</response>


input: Execute bubble sort to sort 38, -62, 17, -28, 44, 81, -5, -57, 27, -30 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [38, -62, 17, -28, 44, 81, -5, -57, 27, -30]

Pass 1:
  Compare 38 and -62
  Swap 38 and -62
  List after swap: [-62, 38, 17, -28, 44, 81, -5, -57, 27, -30]
  Compare 38 and 17
  Swap 38 and 17
  List after swap: [-62, 17, 38, -28, 44, 81, -5, -57, 27, -30]
  Compare 38 and -28
  Swap 38 and -28
  List after swap: [-62, 17, -28, 38, 44, 81, -5, -57, 27, -30]
  Compare 38 and 44
  No swap needed
  Compare 44 and 81
  No swap needed
  Compare 81 and -5
  Swap 81 and -5
  List after swap: [-62, 17, -28, 38, 44, -5, 81, -57, 27, -30]
  Compare 81 and -57
  Swap 81 and -57
  List after swap: [-62, 17, -28, 38, 44, -5, -57, 81, 27, -30]
  Compare 81 and 27
  Swap 81 and 27
  List after swap: [-62, 17, -28, 38, 44, -5, -57, 27, 81, -30]
  Compare 81 and -30
  Swap 81 and -30
  List after swap: [-62, 17, -28, 38, 44, -5, -57, 27, -30, 81]

Pass 2:
  Compare -62 and 17
  No swap needed
  Compare 17 and -28
  Swap 17 and -28
  List after swap: [-62, -28, 17, 38, 44, -5, -57, 27, -30, 81]
  Compare 17 and 38
  No swap needed
  Compare 38 and 44
  No swap needed
  Compare 44 and -5
  Swap 44 and -5
  List after swap: [-62, -28, 17, 38, -5, 44, -57, 27, -30, 81]
  Compare 44 and -57
  Swap 44 and -57
  List after swap: [-62, -28, 17, 38, -5, -57, 44, 27, -30, 81]
  Compare 44 and 27
  Swap 44 and 27
  List after swap: [-62, -28, 17, 38, -5, -57, 27, 44, -30, 81]
  Compare 44 and -30
  Swap 44 and -30
  List after swap: [-62, -28, 17, 38, -5, -57, 27, -30, 44, 81]

Pass 3:
  Compare -62 and -28
  No swap needed
  Compare -28 and 17
  No swap needed
  Compare 17 and 38
  No swap needed
  Compare 38 and -5
  Swap 38 and -5
  List after swap: [-62, -28, 17, -5, 38, -57, 27, -30, 44, 81]
  Compare 38 and -57
  Swap 38 and -57
  List after swap: [-62, -28, 17, -5, -57, 38, 27, -30, 44, 81]
  Compare 38 and 27
  Swap 38 and 27
  List after swap: [-62, -28, 17, -5, -57, 27, 38, -30, 44, 81]
  Compare 38 and -30
  Swap 38 and -30
  List after swap: [-62, -28, 17, -5, -57, 27, -30, 38, 44, 81]

Pass 4:
  Compare -62 and -28
  No swap needed
  Compare -28 and 17
  No swap needed
  Compare 17 and -5
  Swap 17 and -5
  List after swap: [-62, -28, -5, 17, -57, 27, -30, 38, 44, 81]
  Compare 17 and -57
  Swap 17 and -57
  List after swap: [-62, -28, -5, -57, 17, 27, -30, 38, 44, 81]
  Compare 17 and 27
  No swap needed
  Compare 27 and -30
  Swap 27 and -30
  List after swap: [-62, -28, -5, -57, 17, -30, 27, 38, 44, 81]

Pass 5:
  Compare -62 and -28
  No swap needed
  Compare -28 and -5
  No swap needed
  Compare -5 and -57
  Swap -5 and -57
  List after swap: [-62, -28, -57, -5, 17, -30, 27, 38, 44, 81]
  Compare -5 and 17
  No swap needed
  Compare 17 and -30
  Swap 17 and -30
  List after swap: [-62, -28, -57, -5, -30, 17, 27, 38, 44, 81]

Pass 6:
  Compare -62 and -28
  No swap needed
  Compare -28 and -57
  Swap -28 and -57
  List after swap: [-62, -57, -28, -5, -30, 17, 27, 38, 44, 81]
  Compare -28 and -5
  No swap needed
  Compare -5 and -30
  Swap -5 and -30
  List after swap: [-62, -57, -28, -30, -5, 17, 27, 38, 44, 81]

Pass 7:
  Compare -62 and -57
  No swap needed
  Compare -57 and -28
  No swap needed
  Compare -28 and -30
  Swap -28 and -30
  List after swap: [-62, -57, -30, -28, -5, 17, 27, 38, 44, 81]

Pass 8:
  Compare -62 and -57
  No swap needed
  Compare -57 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -57, -30, -28, -5, 17, 27, 38, 44, 81]
</think>

<response>-62, -57, -30, -28, -5, 17, 27, 38, 44, 81</response>


input: Execute bubble sort to sort -93, -11, 74, -47, 55, -16 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-93, -11, 74, -47, 55, -16]

Pass 1:
  Compare -93 and -11
  No swap needed
  Compare -11 and 74
  No swap needed
  Compare 74 and -47
  Swap 74 and -47
  List after swap: [-93, -11, -47, 74, 55, -16]
  Compare 74 and 55
  Swap 74 and 55
  List after swap: [-93, -11, -47, 55, 74, -16]
  Compare 74 and -16
  Swap 74 and -16
  List after swap: [-93, -11, -47, 55, -16, 74]

Pass 2:
  Compare -93 and -11
  No swap needed
  Compare -11 and -47
  Swap -11 and -47
  List after swap: [-93, -47, -11, 55, -16, 74]
  Compare -11 and 55
  No swap needed
  Compare 55 and -16
  Swap 55 and -16
  List after swap: [-93, -47, -11, -16, 55, 74]

Pass 3:
  Compare -93 and -47
  No swap needed
  Compare -47 and -11
  No swap needed
  Compare -11 and -16
  Swap -11 and -16
  List after swap: [-93, -47, -16, -11, 55, 74]

Pass 4:
  Compare -93 and -47
  No swap needed
  Compare -47 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -47, -16, -11, 55, 74]
</think>

<response>-93, -47, -16, -11, 55, 74</response>


input: Sort these integers 98, -69, -11, -42, 43, -5, 55, -32, 38 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [98, -69, -11, -42, 43, -5, 55, -32, 38]

Pass 1:
  Compare 98 and -69
  Swap 98 and -69
  List after swap: [-69, 98, -11, -42, 43, -5, 55, -32, 38]
  Compare 98 and -11
  Swap 98 and -11
  List after swap: [-69, -11, 98, -42, 43, -5, 55, -32, 38]
  Compare 98 and -42
  Swap 98 and -42
  List after swap: [-69, -11, -42, 98, 43, -5, 55, -32, 38]
  Compare 98 and 43
  Swap 98 and 43
  List after swap: [-69, -11, -42, 43, 98, -5, 55, -32, 38]
  Compare 98 and -5
  Swap 98 and -5
  List after swap: [-69, -11, -42, 43, -5, 98, 55, -32, 38]
  Compare 98 and 55
  Swap 98 and 55
  List after swap: [-69, -11, -42, 43, -5, 55, 98, -32, 38]
  Compare 98 and -32
  Swap 98 and -32
  List after swap: [-69, -11, -42, 43, -5, 55, -32, 98, 38]
  Compare 98 and 38
  Swap 98 and 38
  List after swap: [-69, -11, -42, 43, -5, 55, -32, 38, 98]

Pass 2:
  Compare -69 and -11
  No swap needed
  Compare -11 and -42
  Swap -11 and -42
  List after swap: [-69, -42, -11, 43, -5, 55, -32, 38, 98]
  Compare -11 and 43
  No swap needed
  Compare 43 and -5
  Swap 43 and -5
  List after swap: [-69, -42, -11, -5, 43, 55, -32, 38, 98]
  Compare 43 and 55
  No swap needed
  Compare 55 and -32
  Swap 55 and -32
  List after swap: [-69, -42, -11, -5, 43, -32, 55, 38, 98]
  Compare 55 and 38
  Swap 55 and 38
  List after swap: [-69, -42, -11, -5, 43, -32, 38, 55, 98]

Pass 3:
  Compare -69 and -42
  No swap needed
  Compare -42 and -11
  No swap needed
  Compare -11 and -5
  No swap needed
  Compare -5 and 43
  No swap needed
  Compare 43 and -32
  Swap 43 and -32
  List after swap: [-69, -42, -11, -5, -32, 43, 38, 55, 98]
  Compare 43 and 38
  Swap 43 and 38
  List after swap: [-69, -42, -11, -5, -32, 38, 43, 55, 98]

Pass 4:
  Compare -69 and -42
  No swap needed
  Compare -42 and -11
  No swap needed
  Compare -11 and -5
  No swap needed
  Compare -5 and -32
  Swap -5 and -32
  List after swap: [-69, -42, -11, -32, -5, 38, 43, 55, 98]
  Compare -5 and 38
  No swap needed

Pass 5:
  Compare -69 and -42
  No swap needed
  Compare -42 and -11
  No swap needed
  Compare -11 and -32
  Swap -11 and -32
  List after swap: [-69, -42, -32, -11, -5, 38, 43, 55, 98]
  Compare -11 and -5
  No swap needed

Pass 6:
  Compare -69 and -42
  No swap needed
  Compare -42 and -32
  No swap needed
  Compare -32 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -42, -32, -11, -5, 38, 43, 55, 98]
</think>

<response>-69, -42, -32, -11, -5, 38, 43, 55, 98</response>


input: Using the bubble sort method, sort -29, -68, 89, 96, 36, 58, -11 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-29, -68, 89, 96, 36, 58, -11]

Pass 1:
  Compare -29 and -68
  Swap -29 and -68
  List after swap: [-68, -29, 89, 96, 36, 58, -11]
  Compare -29 and 89
  No swap needed
  Compare 89 and 96
  No swap needed
  Compare 96 and 36
  Swap 96 and 36
  List after swap: [-68, -29, 89, 36, 96, 58, -11]
  Compare 96 and 58
  Swap 96 and 58
  List after swap: [-68, -29, 89, 36, 58, 96, -11]
  Compare 96 and -11
  Swap 96 and -11
  List after swap: [-68, -29, 89, 36, 58, -11, 96]

Pass 2:
  Compare -68 and -29
  No swap needed
  Compare -29 and 89
  No swap needed
  Compare 89 and 36
  Swap 89 and 36
  List after swap: [-68, -29, 36, 89, 58, -11, 96]
  Compare 89 and 58
  Swap 89 and 58
  List after swap: [-68, -29, 36, 58, 89, -11, 96]
  Compare 89 and -11
  Swap 89 and -11
  List after swap: [-68, -29, 36, 58, -11, 89, 96]

Pass 3:
  Compare -68 and -29
  No swap needed
  Compare -29 and 36
  No swap needed
  Compare 36 and 58
  No swap needed
  Compare 58 and -11
  Swap 58 and -11
  List after swap: [-68, -29, 36, -11, 58, 89, 96]

Pass 4:
  Compare -68 and -29
  No swap needed
  Compare -29 and 36
  No swap needed
  Compare 36 and -11
  Swap 36 and -11
  List after swap: [-68, -29, -11, 36, 58, 89, 96]

Pass 5:
  Compare -68 and -29
  No swap needed
  Compare -29 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -29, -11, 36, 58, 89, 96]
</think>

<response>-68, -29, -11, 36, 58, 89, 96</response>


input: Implement bubble sort on 80, 22, 87, -88, 11, -82, 99, -13 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [80, 22, 87, -88, 11, -82, 99, -13]

Pass 1:
  Compare 80 and 22
  Swap 80 and 22
  List after swap: [22, 80, 87, -88, 11, -82, 99, -13]
  Compare 80 and 87
  No swap needed
  Compare 87 and -88
  Swap 87 and -88
  List after swap: [22, 80, -88, 87, 11, -82, 99, -13]
  Compare 87 and 11
  Swap 87 and 11
  List after swap: [22, 80, -88, 11, 87, -82, 99, -13]
  Compare 87 and -82
  Swap 87 and -82
  List after swap: [22, 80, -88, 11, -82, 87, 99, -13]
  Compare 87 and 99
  No swap needed
  Compare 99 and -13
  Swap 99 and -13
  List after swap: [22, 80, -88, 11, -82, 87, -13, 99]

Pass 2:
  Compare 22 and 80
  No swap needed
  Compare 80 and -88
  Swap 80 and -88
  List after swap: [22, -88, 80, 11, -82, 87, -13, 99]
  Compare 80 and 11
  Swap 80 and 11
  List after swap: [22, -88, 11, 80, -82, 87, -13, 99]
  Compare 80 and -82
  Swap 80 and -82
  List after swap: [22, -88, 11, -82, 80, 87, -13, 99]
  Compare 80 and 87
  No swap needed
  Compare 87 and -13
  Swap 87 and -13
  List after swap: [22, -88, 11, -82, 80, -13, 87, 99]

Pass 3:
  Compare 22 and -88
  Swap 22 and -88
  List after swap: [-88, 22, 11, -82, 80, -13, 87, 99]
  Compare 22 and 11
  Swap 22 and 11
  List after swap: [-88, 11, 22, -82, 80, -13, 87, 99]
  Compare 22 and -82
  Swap 22 and -82
  List after swap: [-88, 11, -82, 22, 80, -13, 87, 99]
  Compare 22 and 80
  No swap needed
  Compare 80 and -13
  Swap 80 and -13
  List after swap: [-88, 11, -82, 22, -13, 80, 87, 99]

Pass 4:
  Compare -88 and 11
  No swap needed
  Compare 11 and -82
  Swap 11 and -82
  List after swap: [-88, -82, 11, 22, -13, 80, 87, 99]
  Compare 11 and 22
  No swap needed
  Compare 22 and -13
  Swap 22 and -13
  List after swap: [-88, -82, 11, -13, 22, 80, 87, 99]

Pass 5:
  Compare -88 and -82
  No swap needed
  Compare -82 and 11
  No swap needed
  Compare 11 and -13
  Swap 11 and -13
  List after swap: [-88, -82, -13, 11, 22, 80, 87, 99]

Pass 6:
  Compare -88 and -82
  No swap needed
  Compare -82 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -82, -13, 11, 22, 80, 87, 99]
</think>

<response>-88, -82, -13, 11, 22, 80, 87, 99</response>


input: Carry out the bubble sort algorithm on -1, -17, 82, 87, -73 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-1, -17, 82, 87, -73]

Pass 1:
  Compare -1 and -17
  Swap -1 and -17
  List after swap: [-17, -1, 82, 87, -73]
  Compare -1 and 82
  No swap needed
  Compare 82 and 87
  No swap needed
  Compare 87 and -73
  Swap 87 and -73
  List after swap: [-17, -1, 82, -73, 87]

Pass 2:
  Compare -17 and -1
  No swap needed
  Compare -1 and 82
  No swap needed
  Compare 82 and -73
  Swap 82 and -73
  List after swap: [-17, -1, -73, 82, 87]

Pass 3:
  Compare -17 and -1
  No swap needed
  Compare -1 and -73
  Swap -1 and -73
  List after swap: [-17, -73, -1, 82, 87]

Pass 4:
  Compare -17 and -73
  Swap -17 and -73
  List after swap: [-73, -17, -1, 82, 87]

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

Final sorted list: [-73, -17, -1, 82, 87]
</think>

<response>-73, -17, -1, 82, 87</response>


input: Use the bubble sort technique to reorder -8, -71, -46, -49, 94, -69, 32, 28 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-8, -71, -46, -49, 94, -69, 32, 28]

Pass 1:
  Compare -8 and -71
  Swap -8 and -71
  List after swap: [-71, -8, -46, -49, 94, -69, 32, 28]
  Compare -8 and -46
  Swap -8 and -46
  List after swap: [-71, -46, -8, -49, 94, -69, 32, 28]
  Compare -8 and -49
  Swap -8 and -49
  List after swap: [-71, -46, -49, -8, 94, -69, 32, 28]
  Compare -8 and 94
  No swap needed
  Compare 94 and -69
  Swap 94 and -69
  List after swap: [-71, -46, -49, -8, -69, 94, 32, 28]
  Compare 94 and 32
  Swap 94 and 32
  List after swap: [-71, -46, -49, -8, -69, 32, 94, 28]
  Compare 94 and 28
  Swap 94 and 28
  List after swap: [-71, -46, -49, -8, -69, 32, 28, 94]

Pass 2:
  Compare -71 and -46
  No swap needed
  Compare -46 and -49
  Swap -46 and -49
  List after swap: [-71, -49, -46, -8, -69, 32, 28, 94]
  Compare -46 and -8
  No swap needed
  Compare -8 and -69
  Swap -8 and -69
  List after swap: [-71, -49, -46, -69, -8, 32, 28, 94]
  Compare -8 and 32
  No swap needed
  Compare 32 and 28
  Swap 32 and 28
  List after swap: [-71, -49, -46, -69, -8, 28, 32, 94]

Pass 3:
  Compare -71 and -49
  No swap needed
  Compare -49 and -46
  No swap needed
  Compare -46 and -69
  Swap -46 and -69
  List after swap: [-71, -49, -69, -46, -8, 28, 32, 94]
  Compare -46 and -8
  No swap needed
  Compare -8 and 28
  No swap needed

Pass 4:
  Compare -71 and -49
  No swap needed
  Compare -49 and -69
  Swap -49 and -69
  List after swap: [-71, -69, -49, -46, -8, 28, 32, 94]
  Compare -49 and -46
  No swap needed
  Compare -46 and -8
  No swap needed

Pass 5:
  Compare -71 and -69
  No swap needed
  Compare -69 and -49
  No swap needed
  Compare -49 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -69, -49, -46, -8, 28, 32, 94]
</think>

<response>-71, -69, -49, -46, -8, 28, 32, 94</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 88, 63, 90, -22, -78, -10, -52, 27.

output:
<think>
Initial list: [88, 63, 90, -22, -78, -10, -52, 27]

Pass 1:
  Compare 88 and 63
  Swap 88 and 63
  List after swap: [63, 88, 90, -22, -78, -10, -52, 27]
  Compare 88 and 90
  No swap needed
  Compare 90 and -22
  Swap 90 and -22
  List after swap: [63, 88, -22, 90, -78, -10, -52, 27]
  Compare 90 and -78
  Swap 90 and -78
  List after swap: [63, 88, -22, -78, 90, -10, -52, 27]
  Compare 90 and -10
  Swap 90 and -10
  List after swap: [63, 88, -22, -78, -10, 90, -52, 27]
  Compare 90 and -52
  Swap 90 and -52
  List after swap: [63, 88, -22, -78, -10, -52, 90, 27]
  Compare 90 and 27
  Swap 90 and 27
  List after swap: [63, 88, -22, -78, -10, -52, 27, 90]

Pass 2:
  Compare 63 and 88
  No swap needed
  Compare 88 and -22
  Swap 88 and -22
  List after swap: [63, -22, 88, -78, -10, -52, 27, 90]
  Compare 88 and -78
  Swap 88 and -78
  List after swap: [63, -22, -78, 88, -10, -52, 27, 90]
  Compare 88 and -10
  Swap 88 and -10
  List after swap: [63, -22, -78, -10, 88, -52, 27, 90]
  Compare 88 and -52
  Swap 88 and -52
  List after swap: [63, -22, -78, -10, -52, 88, 27, 90]
  Compare 88 and 27
  Swap 88 and 27
  List after swap: [63, -22, -78, -10, -52, 27, 88, 90]

Pass 3:
  Compare 63 and -22
  Swap 63 and -22
  List after swap: [-22, 63, -78, -10, -52, 27, 88, 90]
  Compare 63 and -78
  Swap 63 and -78
  List after swap: [-22, -78, 63, -10, -52, 27, 88, 90]
  Compare 63 and -10
  Swap 63 and -10
  List after swap: [-22, -78, -10, 63, -52, 27, 88, 90]
  Compare 63 and -52
  Swap 63 and -52
  List after swap: [-22, -78, -10, -52, 63, 27, 88, 90]
  Compare 63 and 27
  Swap 63 and 27
  List after swap: [-22, -78, -10, -52, 27, 63, 88, 90]

Pass 4:
  Compare -22 and -78
  Swap -22 and -78
  List after swap: [-78, -22, -10, -52, 27, 63, 88, 90]
  Compare -22 and -10
  No swap needed
  Compare -10 and -52
  Swap -10 and -52
  List after swap: [-78, -22, -52, -10, 27, 63, 88, 90]
  Compare -10 and 27
  No swap needed

Pass 5:
  Compare -78 and -22
  No swap needed
  Compare -22 and -52
  Swap -22 and -52
  List after swap: [-78, -52, -22, -10, 27, 63, 88, 90]
  Compare -22 and -10
  No swap needed

Pass 6:
  Compare -78 and -52
  No swap needed
  Compare -52 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -52, -22, -10, 27, 63, 88, 90]
</think>

<response>-78, -52, -22, -10, 27, 63, 88, 90</response>


input: Demonstrate how bubble sort orders the integers 59, -39, 92, 38, 6, 37, 9, 3, 99, -86 in ascending sequence, showing all steps.

output:
<think>
Initial list: [59, -39, 92, 38, 6, 37, 9, 3, 99, -86]

Pass 1:
  Compare 59 and -39
  Swap 59 and -39
  List after swap: [-39, 59, 92, 38, 6, 37, 9, 3, 99, -86]
  Compare 59 and 92
  No swap needed
  Compare 92 and 38
  Swap 92 and 38
  List after swap: [-39, 59, 38, 92, 6, 37, 9, 3, 99, -86]
  Compare 92 and 6
  Swap 92 and 6
  List after swap: [-39, 59, 38, 6, 92, 37, 9, 3, 99, -86]
  Compare 92 and 37
  Swap 92 and 37
  List after swap: [-39, 59, 38, 6, 37, 92, 9, 3, 99, -86]
  Compare 92 and 9
  Swap 92 and 9
  List after swap: [-39, 59, 38, 6, 37, 9, 92, 3, 99, -86]
  Compare 92 and 3
  Swap 92 and 3
  List after swap: [-39, 59, 38, 6, 37, 9, 3, 92, 99, -86]
  Compare 92 and 99
  No swap needed
  Compare 99 and -86
  Swap 99 and -86
  List after swap: [-39, 59, 38, 6, 37, 9, 3, 92, -86, 99]

Pass 2:
  Compare -39 and 59
  No swap needed
  Compare 59 and 38
  Swap 59 and 38
  List after swap: [-39, 38, 59, 6, 37, 9, 3, 92, -86, 99]
  Compare 59 and 6
  Swap 59 and 6
  List after swap: [-39, 38, 6, 59, 37, 9, 3, 92, -86, 99]
  Compare 59 and 37
  Swap 59 and 37
  List after swap: [-39, 38, 6, 37, 59, 9, 3, 92, -86, 99]
  Compare 59 and 9
  Swap 59 and 9
  List after swap: [-39, 38, 6, 37, 9, 59, 3, 92, -86, 99]
  Compare 59 and 3
  Swap 59 and 3
  List after swap: [-39, 38, 6, 37, 9, 3, 59, 92, -86, 99]
  Compare 59 and 92
  No swap needed
  Compare 92 and -86
  Swap 92 and -86
  List after swap: [-39, 38, 6, 37, 9, 3, 59, -86, 92, 99]

Pass 3:
  Compare -39 and 38
  No swap needed
  Compare 38 and 6
  Swap 38 and 6
  List after swap: [-39, 6, 38, 37, 9, 3, 59, -86, 92, 99]
  Compare 38 and 37
  Swap 38 and 37
  List after swap: [-39, 6, 37, 38, 9, 3, 59, -86, 92, 99]
  Compare 38 and 9
  Swap 38 and 9
  List after swap: [-39, 6, 37, 9, 38, 3, 59, -86, 92, 99]
  Compare 38 and 3
  Swap 38 and 3
  List after swap: [-39, 6, 37, 9, 3, 38, 59, -86, 92, 99]
  Compare 38 and 59
  No swap needed
  Compare 59 and -86
  Swap 59 and -86
  List after swap: [-39, 6, 37, 9, 3, 38, -86, 59, 92, 99]

Pass 4:
  Compare -39 and 6
  No swap needed
  Compare 6 and 37
  No swap needed
  Compare 37 and 9
  Swap 37 and 9
  List after swap: [-39, 6, 9, 37, 3, 38, -86, 59, 92, 99]
  Compare 37 and 3
  Swap 37 and 3
  List after swap: [-39, 6, 9, 3, 37, 38, -86, 59, 92, 99]
  Compare 37 and 38
  No swap needed
  Compare 38 and -86
  Swap 38 and -86
  List after swap: [-39, 6, 9, 3, 37, -86, 38, 59, 92, 99]

Pass 5:
  Compare -39 and 6
  No swap needed
  Compare 6 and 9
  No swap needed
  Compare 9 and 3
  Swap 9 and 3
  List after swap: [-39, 6, 3, 9, 37, -86, 38, 59, 92, 99]
  Compare 9 and 37
  No swap needed
  Compare 37 and -86
  Swap 37 and -86
  List after swap: [-39, 6, 3, 9, -86, 37, 38, 59, 92, 99]

Pass 6:
  Compare -39 and 6
  No swap needed
  Compare 6 and 3
  Swap 6 and 3
  List after swap: [-39, 3, 6, 9, -86, 37, 38, 59, 92, 99]
  Compare 6 and 9
  No swap needed
  Compare 9 and -86
  Swap 9 and -86
  List after swap: [-39, 3, 6, -86, 9, 37, 38, 59, 92, 99]

Pass 7:
  Compare -39 and 3
  No swap needed
  Compare 3 and 6
  No swap needed
  Compare 6 and -86
  Swap 6 and -86
  List after swap: [-39, 3, -86, 6, 9, 37, 38, 59, 92, 99]

Pass 8:
  Compare -39 and 3
  No swap needed
  Compare 3 and -86
  Swap 3 and -86
  List after swap: [-39, -86, 3, 6, 9, 37, 38, 59, 92, 99]

Pass 9:
  Compare -39 and -86
  Swap -39 and -86
  List after swap: [-86, -39, 3, 6, 9, 37, 38, 59, 92, 99]

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

Final sorted list: [-86, -39, 3, 6, 9, 37, 38, 59, 92, 99]
</think>

<response>-86, -39, 3, 6, 9, 37, 38, 59, 92, 99</response>


input: Perform a bubble sort on the integers -44, -13, -67, -90, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-44, -13, -67, -90]

Pass 1:
  Compare -44 and -13
  No swap needed
  Compare -13 and -67
  Swap -13 and -67
  List after swap: [-44, -67, -13, -90]
  Compare -13 and -90
  Swap -13 and -90
  List after swap: [-44, -67, -90, -13]

Pass 2:
  Compare -44 and -67
  Swap -44 and -67
  List after swap: [-67, -44, -90, -13]
  Compare -44 and -90
  Swap -44 and -90
  List after swap: [-67, -90, -44, -13]

Pass 3:
  Compare -67 and -90
  Swap -67 and -90
  List after swap: [-90, -67, -44, -13]

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

Final sorted list: [-90, -67, -44, -13]
</think>

<response>-90, -67, -44, -13</response>


input: Sort the list -25, -84, -55, 16, -56, -15, 36 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-25, -84, -55, 16, -56, -15, 36]

Pass 1:
  Compare -25 and -84
  Swap -25 and -84
  List after swap: [-84, -25, -55, 16, -56, -15, 36]
  Compare -25 and -55
  Swap -25 and -55
  List after swap: [-84, -55, -25, 16, -56, -15, 36]
  Compare -25 and 16
  No swap needed
  Compare 16 and -56
  Swap 16 and -56
  List after swap: [-84, -55, -25, -56, 16, -15, 36]
  Compare 16 and -15
  Swap 16 and -15
  List after swap: [-84, -55, -25, -56, -15, 16, 36]
  Compare 16 and 36
  No swap needed

Pass 2:
  Compare -84 and -55
  No swap needed
  Compare -55 and -25
  No swap needed
  Compare -25 and -56
  Swap -25 and -56
  List after swap: [-84, -55, -56, -25, -15, 16, 36]
  Compare -25 and -15
  No swap needed
  Compare -15 and 16
  No swap needed

Pass 3:
  Compare -84 and -55
  No swap needed
  Compare -55 and -56
  Swap -55 and -56
  List after swap: [-84, -56, -55, -25, -15, 16, 36]
  Compare -55 and -25
  No swap needed
  Compare -25 and -15
  No swap needed

Pass 4:
  Compare -84 and -56
  No swap needed
  Compare -56 and -55
  No swap needed
  Compare -55 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -56, -55, -25, -15, 16, 36]
</think>

<response>-84, -56, -55, -25, -15, 16, 36</response>


input: Implement bubble sort on -62, -58, 41, 51, 4, -90 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-62, -58, 41, 51, 4, -90]

Pass 1:
  Compare -62 and -58
  No swap needed
  Compare -58 and 41
  No swap needed
  Compare 41 and 51
  No swap needed
  Compare 51 and 4
  Swap 51 and 4
  List after swap: [-62, -58, 41, 4, 51, -90]
  Compare 51 and -90
  Swap 51 and -90
  List after swap: [-62, -58, 41, 4, -90, 51]

Pass 2:
  Compare -62 and -58
  No swap needed
  Compare -58 and 41
  No swap needed
  Compare 41 and 4
  Swap 41 and 4
  List after swap: [-62, -58, 4, 41, -90, 51]
  Compare 41 and -90
  Swap 41 and -90
  List after swap: [-62, -58, 4, -90, 41, 51]

Pass 3:
  Compare -62 and -58
  No swap needed
  Compare -58 and 4
  No swap needed
  Compare 4 and -90
  Swap 4 and -90
  List after swap: [-62, -58, -90, 4, 41, 51]

Pass 4:
  Compare -62 and -58
  No swap needed
  Compare -58 and -90
  Swap -58 and -90
  List after swap: [-62, -90, -58, 4, 41, 51]

Pass 5:
  Compare -62 and -90
  Swap -62 and -90
  List after swap: [-90, -62, -58, 4, 41, 51]

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

Final sorted list: [-90, -62, -58, 4, 41, 51]
</think>

<response>-90, -62, -58, 4, 41, 51</response>


input: Demonstrate how bubble sort orders the integers 89, -20, -29, -49, -99, -44, 36, 27, 32 in ascending sequence, showing all steps.

output:
<think>
Initial list: [89, -20, -29, -49, -99, -44, 36, 27, 32]

Pass 1:
  Compare 89 and -20
  Swap 89 and -20
  List after swap: [-20, 89, -29, -49, -99, -44, 36, 27, 32]
  Compare 89 and -29
  Swap 89 and -29
  List after swap: [-20, -29, 89, -49, -99, -44, 36, 27, 32]
  Compare 89 and -49
  Swap 89 and -49
  List after swap: [-20, -29, -49, 89, -99, -44, 36, 27, 32]
  Compare 89 and -99
  Swap 89 and -99
  List after swap: [-20, -29, -49, -99, 89, -44, 36, 27, 32]
  Compare 89 and -44
  Swap 89 and -44
  List after swap: [-20, -29, -49, -99, -44, 89, 36, 27, 32]
  Compare 89 and 36
  Swap 89 and 36
  List after swap: [-20, -29, -49, -99, -44, 36, 89, 27, 32]
  Compare 89 and 27
  Swap 89 and 27
  List after swap: [-20, -29, -49, -99, -44, 36, 27, 89, 32]
  Compare 89 and 32
  Swap 89 and 32
  List after swap: [-20, -29, -49, -99, -44, 36, 27, 32, 89]

Pass 2:
  Compare -20 and -29
  Swap -20 and -29
  List after swap: [-29, -20, -49, -99, -44, 36, 27, 32, 89]
  Compare -20 and -49
  Swap -20 and -49
  List after swap: [-29, -49, -20, -99, -44, 36, 27, 32, 89]
  Compare -20 and -99
  Swap -20 and -99
  List after swap: [-29, -49, -99, -20, -44, 36, 27, 32, 89]
  Compare -20 and -44
  Swap -20 and -44
  List after swap: [-29, -49, -99, -44, -20, 36, 27, 32, 89]
  Compare -20 and 36
  No swap needed
  Compare 36 and 27
  Swap 36 and 27
  List after swap: [-29, -49, -99, -44, -20, 27, 36, 32, 89]
  Compare 36 and 32
  Swap 36 and 32
  List after swap: [-29, -49, -99, -44, -20, 27, 32, 36, 89]

Pass 3:
  Compare -29 and -49
  Swap -29 and -49
  List after swap: [-49, -29, -99, -44, -20, 27, 32, 36, 89]
  Compare -29 and -99
  Swap -29 and -99
  List after swap: [-49, -99, -29, -44, -20, 27, 32, 36, 89]
  Compare -29 and -44
  Swap -29 and -44
  List after swap: [-49, -99, -44, -29, -20, 27, 32, 36, 89]
  Compare -29 and -20
  No swap needed
  Compare -20 and 27
  No swap needed
  Compare 27 and 32
  No swap needed

Pass 4:
  Compare -49 and -99
  Swap -49 and -99
  List after swap: [-99, -49, -44, -29, -20, 27, 32, 36, 89]
  Compare -49 and -44
  No swap needed
  Compare -44 and -29
  No swap needed
  Compare -29 and -20
  No swap needed
  Compare -20 and 27
  No swap needed

Pass 5:
  Compare -99 and -49
  No swap needed
  Compare -49 and -44
  No swap needed
  Compare -44 and -29
  No swap needed
  Compare -29 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -49, -44, -29, -20, 27, 32, 36, 89]
</think>

<response>-99, -49, -44, -29, -20, 27, 32, 36, 89</response>


input: Implement bubble sort on -60, -22, 89, 38, -12, 21, -58 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-60, -22, 89, 38, -12, 21, -58]

Pass 1:
  Compare -60 and -22
  No swap needed
  Compare -22 and 89
  No swap needed
  Compare 89 and 38
  Swap 89 and 38
  List after swap: [-60, -22, 38, 89, -12, 21, -58]
  Compare 89 and -12
  Swap 89 and -12
  List after swap: [-60, -22, 38, -12, 89, 21, -58]
  Compare 89 and 21
  Swap 89 and 21
  List after swap: [-60, -22, 38, -12, 21, 89, -58]
  Compare 89 and -58
  Swap 89 and -58
  List after swap: [-60, -22, 38, -12, 21, -58, 89]

Pass 2:
  Compare -60 and -22
  No swap needed
  Compare -22 and 38
  No swap needed
  Compare 38 and -12
  Swap 38 and -12
  List after swap: [-60, -22, -12, 38, 21, -58, 89]
  Compare 38 and 21
  Swap 38 and 21
  List after swap: [-60, -22, -12, 21, 38, -58, 89]
  Compare 38 and -58
  Swap 38 and -58
  List after swap: [-60, -22, -12, 21, -58, 38, 89]

Pass 3:
  Compare -60 and -22
  No swap needed
  Compare -22 and -12
  No swap needed
  Compare -12 and 21
  No swap needed
  Compare 21 and -58
  Swap 21 and -58
  List after swap: [-60, -22, -12, -58, 21, 38, 89]

Pass 4:
  Compare -60 and -22
  No swap needed
  Compare -22 and -12
  No swap needed
  Compare -12 and -58
  Swap -12 and -58
  List after swap: [-60, -22, -58, -12, 21, 38, 89]

Pass 5:
  Compare -60 and -22
  No swap needed
  Compare -22 and -58
  Swap -22 and -58
  List after swap: [-60, -58, -22, -12, 21, 38, 89]

Pass 6:
  Compare -60 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -58, -22, -12, 21, 38, 89]
</think>

<response>-60, -58, -22, -12, 21, 38, 89</response>


input: Arrange the numbers 87, 69, -34, -9, 71, -4, 94, 22, -39 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [87, 69, -34, -9, 71, -4, 94, 22, -39]

Pass 1:
  Compare 87 and 69
  Swap 87 and 69
  List after swap: [69, 87, -34, -9, 71, -4, 94, 22, -39]
  Compare 87 and -34
  Swap 87 and -34
  List after swap: [69, -34, 87, -9, 71, -4, 94, 22, -39]
  Compare 87 and -9
  Swap 87 and -9
  List after swap: [69, -34, -9, 87, 71, -4, 94, 22, -39]
  Compare 87 and 71
  Swap 87 and 71
  List after swap: [69, -34, -9, 71, 87, -4, 94, 22, -39]
  Compare 87 and -4
  Swap 87 and -4
  List after swap: [69, -34, -9, 71, -4, 87, 94, 22, -39]
  Compare 87 and 94
  No swap needed
  Compare 94 and 22
  Swap 94 and 22
  List after swap: [69, -34, -9, 71, -4, 87, 22, 94, -39]
  Compare 94 and -39
  Swap 94 and -39
  List after swap: [69, -34, -9, 71, -4, 87, 22, -39, 94]

Pass 2:
  Compare 69 and -34
  Swap 69 and -34
  List after swap: [-34, 69, -9, 71, -4, 87, 22, -39, 94]
  Compare 69 and -9
  Swap 69 and -9
  List after swap: [-34, -9, 69, 71, -4, 87, 22, -39, 94]
  Compare 69 and 71
  No swap needed
  Compare 71 and -4
  Swap 71 and -4
  List after swap: [-34, -9, 69, -4, 71, 87, 22, -39, 94]
  Compare 71 and 87
  No swap needed
  Compare 87 and 22
  Swap 87 and 22
  List after swap: [-34, -9, 69, -4, 71, 22, 87, -39, 94]
  Compare 87 and -39
  Swap 87 and -39
  List after swap: [-34, -9, 69, -4, 71, 22, -39, 87, 94]

Pass 3:
  Compare -34 and -9
  No swap needed
  Compare -9 and 69
  No swap needed
  Compare 69 and -4
  Swap 69 and -4
  List after swap: [-34, -9, -4, 69, 71, 22, -39, 87, 94]
  Compare 69 and 71
  No swap needed
  Compare 71 and 22
  Swap 71 and 22
  List after swap: [-34, -9, -4, 69, 22, 71, -39, 87, 94]
  Compare 71 and -39
  Swap 71 and -39
  List after swap: [-34, -9, -4, 69, 22, -39, 71, 87, 94]

Pass 4:
  Compare -34 and -9
  No swap needed
  Compare -9 and -4
  No swap needed
  Compare -4 and 69
  No swap needed
  Compare 69 and 22
  Swap 69 and 22
  List after swap: [-34, -9, -4, 22, 69, -39, 71, 87, 94]
  Compare 69 and -39
  Swap 69 and -39
  List after swap: [-34, -9, -4, 22, -39, 69, 71, 87, 94]

Pass 5:
  Compare -34 and -9
  No swap needed
  Compare -9 and -4
  No swap needed
  Compare -4 and 22
  No swap needed
  Compare 22 and -39
  Swap 22 and -39
  List after swap: [-34, -9, -4, -39, 22, 69, 71, 87, 94]

Pass 6:
  Compare -34 and -9
  No swap needed
  Compare -9 and -4
  No swap needed
  Compare -4 and -39
  Swap -4 and -39
  List after swap: [-34, -9, -39, -4, 22, 69, 71, 87, 94]

Pass 7:
  Compare -34 and -9
  No swap needed
  Compare -9 and -39
  Swap -9 and -39
  List after swap: [-34, -39, -9, -4, 22, 69, 71, 87, 94]

Pass 8:
  Compare -34 and -39
  Swap -34 and -39
  List after swap: [-39, -34, -9, -4, 22, 69, 71, 87, 94]

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

Final sorted list: [-39, -34, -9, -4, 22, 69, 71, 87, 94]
</think>

<response>-39, -34, -9, -4, 22, 69, 71, 87, 94</response>


input: Using the bubble sort method, sort -36, -23, 53, -65, -95, -43, 14, -62 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-36, -23, 53, -65, -95, -43, 14, -62]

Pass 1:
  Compare -36 and -23
  No swap needed
  Compare -23 and 53
  No swap needed
  Compare 53 and -65
  Swap 53 and -65
  List after swap: [-36, -23, -65, 53, -95, -43, 14, -62]
  Compare 53 and -95
  Swap 53 and -95
  List after swap: [-36, -23, -65, -95, 53, -43, 14, -62]
  Compare 53 and -43
  Swap 53 and -43
  List after swap: [-36, -23, -65, -95, -43, 53, 14, -62]
  Compare 53 and 14
  Swap 53 and 14
  List after swap: [-36, -23, -65, -95, -43, 14, 53, -62]
  Compare 53 and -62
  Swap 53 and -62
  List after swap: [-36, -23, -65, -95, -43, 14, -62, 53]

Pass 2:
  Compare -36 and -23
  No swap needed
  Compare -23 and -65
  Swap -23 and -65
  List after swap: [-36, -65, -23, -95, -43, 14, -62, 53]
  Compare -23 and -95
  Swap -23 and -95
  List after swap: [-36, -65, -95, -23, -43, 14, -62, 53]
  Compare -23 and -43
  Swap -23 and -43
  List after swap: [-36, -65, -95, -43, -23, 14, -62, 53]
  Compare -23 and 14
  No swap needed
  Compare 14 and -62
  Swap 14 and -62
  List after swap: [-36, -65, -95, -43, -23, -62, 14, 53]

Pass 3:
  Compare -36 and -65
  Swap -36 and -65
  List after swap: [-65, -36, -95, -43, -23, -62, 14, 53]
  Compare -36 and -95
  Swap -36 and -95
  List after swap: [-65, -95, -36, -43, -23, -62, 14, 53]
  Compare -36 and -43
  Swap -36 and -43
  List after swap: [-65, -95, -43, -36, -23, -62, 14, 53]
  Compare -36 and -23
  No swap needed
  Compare -23 and -62
  Swap -23 and -62
  List after swap: [-65, -95, -43, -36, -62, -23, 14, 53]

Pass 4:
  Compare -65 and -95
  Swap -65 and -95
  List after swap: [-95, -65, -43, -36, -62, -23, 14, 53]
  Compare -65 and -43
  No swap needed
  Compare -43 and -36
  No swap needed
  Compare -36 and -62
  Swap -36 and -62
  List after swap: [-95, -65, -43, -62, -36, -23, 14, 53]

Pass 5:
  Compare -95 and -65
  No swap needed
  Compare -65 and -43
  No swap needed
  Compare -43 and -62
  Swap -43 and -62
  List after swap: [-95, -65, -62, -43, -36, -23, 14, 53]

Pass 6:
  Compare -95 and -65
  No swap needed
  Compare -65 and -62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -65, -62, -43, -36, -23, 14, 53]
</think>

<response>-95, -65, -62, -43, -36, -23, 14, 53</response>


input: Arrange the numbers -95, 43, -98, -54, -45, -64, 69, 52 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-95, 43, -98, -54, -45, -64, 69, 52]

Pass 1:
  Compare -95 and 43
  No swap needed
  Compare 43 and -98
  Swap 43 and -98
  List after swap: [-95, -98, 43, -54, -45, -64, 69, 52]
  Compare 43 and -54
  Swap 43 and -54
  List after swap: [-95, -98, -54, 43, -45, -64, 69, 52]
  Compare 43 and -45
  Swap 43 and -45
  List after swap: [-95, -98, -54, -45, 43, -64, 69, 52]
  Compare 43 and -64
  Swap 43 and -64
  List after swap: [-95, -98, -54, -45, -64, 43, 69, 52]
  Compare 43 and 69
  No swap needed
  Compare 69 and 52
  Swap 69 and 52
  List after swap: [-95, -98, -54, -45, -64, 43, 52, 69]

Pass 2:
  Compare -95 and -98
  Swap -95 and -98
  List after swap: [-98, -95, -54, -45, -64, 43, 52, 69]
  Compare -95 and -54
  No swap needed
  Compare -54 and -45
  No swap needed
  Compare -45 and -64
  Swap -45 and -64
  List after swap: [-98, -95, -54, -64, -45, 43, 52, 69]
  Compare -45 and 43
  No swap needed
  Compare 43 and 52
  No swap needed

Pass 3:
  Compare -98 and -95
  No swap needed
  Compare -95 and -54
  No swap needed
  Compare -54 and -64
  Swap -54 and -64
  List after swap: [-98, -95, -64, -54, -45, 43, 52, 69]
  Compare -54 and -45
  No swap needed
  Compare -45 and 43
  No swap needed

Pass 4:
  Compare -98 and -95
  No swap needed
  Compare -95 and -64
  No swap needed
  Compare -64 and -54
  No swap needed
  Compare -54 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -95, -64, -54, -45, 43, 52, 69]
</think>

<response>-98, -95, -64, -54, -45, 43, 52, 69</response>


input: Execute bubble sort to sort 33, 85, -65, 2, -23, 95, -31 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [33, 85, -65, 2, -23, 95, -31]

Pass 1:
  Compare 33 and 85
  No swap needed
  Compare 85 and -65
  Swap 85 and -65
  List after swap: [33, -65, 85, 2, -23, 95, -31]
  Compare 85 and 2
  Swap 85 and 2
  List after swap: [33, -65, 2, 85, -23, 95, -31]
  Compare 85 and -23
  Swap 85 and -23
  List after swap: [33, -65, 2, -23, 85, 95, -31]
  Compare 85 and 95
  No swap needed
  Compare 95 and -31
  Swap 95 and -31
  List after swap: [33, -65, 2, -23, 85, -31, 95]

Pass 2:
  Compare 33 and -65
  Swap 33 and -65
  List after swap: [-65, 33, 2, -23, 85, -31, 95]
  Compare 33 and 2
  Swap 33 and 2
  List after swap: [-65, 2, 33, -23, 85, -31, 95]
  Compare 33 and -23
  Swap 33 and -23
  List after swap: [-65, 2, -23, 33, 85, -31, 95]
  Compare 33 and 85
  No swap needed
  Compare 85 and -31
  Swap 85 and -31
  List after swap: [-65, 2, -23, 33, -31, 85, 95]

Pass 3:
  Compare -65 and 2
  No swap needed
  Compare 2 and -23
  Swap 2 and -23
  List after swap: [-65, -23, 2, 33, -31, 85, 95]
  Compare 2 and 33
  No swap needed
  Compare 33 and -31
  Swap 33 and -31
  List after swap: [-65, -23, 2, -31, 33, 85, 95]

Pass 4:
  Compare -65 and -23
  No swap needed
  Compare -23 and 2
  No swap needed
  Compare 2 and -31
  Swap 2 and -31
  List after swap: [-65, -23, -31, 2, 33, 85, 95]

Pass 5:
  Compare -65 and -23
  No swap needed
  Compare -23 and -31
  Swap -23 and -31
  List after swap: [-65, -31, -23, 2, 33, 85, 95]

Pass 6:
  Compare -65 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -31, -23, 2, 33, 85, 95]
</think>

<response>-65, -31, -23, 2, 33, 85, 95</response>


input: Arrange the numbers 0, 54, 65, -3, 97, 95, 43, -94, 46, -56 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [0, 54, 65, -3, 97, 95, 43, -94, 46, -56]

Pass 1:
  Compare 0 and 54
  No swap needed
  Compare 54 and 65
  No swap needed
  Compare 65 and -3
  Swap 65 and -3
  List after swap: [0, 54, -3, 65, 97, 95, 43, -94, 46, -56]
  Compare 65 and 97
  No swap needed
  Compare 97 and 95
  Swap 97 and 95
  List after swap: [0, 54, -3, 65, 95, 97, 43, -94, 46, -56]
  Compare 97 and 43
  Swap 97 and 43
  List after swap: [0, 54, -3, 65, 95, 43, 97, -94, 46, -56]
  Compare 97 and -94
  Swap 97 and -94
  List after swap: [0, 54, -3, 65, 95, 43, -94, 97, 46, -56]
  Compare 97 and 46
  Swap 97 and 46
  List after swap: [0, 54, -3, 65, 95, 43, -94, 46, 97, -56]
  Compare 97 and -56
  Swap 97 and -56
  List after swap: [0, 54, -3, 65, 95, 43, -94, 46, -56, 97]

Pass 2:
  Compare 0 and 54
  No swap needed
  Compare 54 and -3
  Swap 54 and -3
  List after swap: [0, -3, 54, 65, 95, 43, -94, 46, -56, 97]
  Compare 54 and 65
  No swap needed
  Compare 65 and 95
  No swap needed
  Compare 95 and 43
  Swap 95 and 43
  List after swap: [0, -3, 54, 65, 43, 95, -94, 46, -56, 97]
  Compare 95 and -94
  Swap 95 and -94
  List after swap: [0, -3, 54, 65, 43, -94, 95, 46, -56, 97]
  Compare 95 and 46
  Swap 95 and 46
  List after swap: [0, -3, 54, 65, 43, -94, 46, 95, -56, 97]
  Compare 95 and -56
  Swap 95 and -56
  List after swap: [0, -3, 54, 65, 43, -94, 46, -56, 95, 97]

Pass 3:
  Compare 0 and -3
  Swap 0 and -3
  List after swap: [-3, 0, 54, 65, 43, -94, 46, -56, 95, 97]
  Compare 0 and 54
  No swap needed
  Compare 54 and 65
  No swap needed
  Compare 65 and 43
  Swap 65 and 43
  List after swap: [-3, 0, 54, 43, 65, -94, 46, -56, 95, 97]
  Compare 65 and -94
  Swap 65 and -94
  List after swap: [-3, 0, 54, 43, -94, 65, 46, -56, 95, 97]
  Compare 65 and 46
  Swap 65 and 46
  List after swap: [-3, 0, 54, 43, -94, 46, 65, -56, 95, 97]
  Compare 65 and -56
  Swap 65 and -56
  List after swap: [-3, 0, 54, 43, -94, 46, -56, 65, 95, 97]

Pass 4:
  Compare -3 and 0
  No swap needed
  Compare 0 and 54
  No swap needed
  Compare 54 and 43
  Swap 54 and 43
  List after swap: [-3, 0, 43, 54, -94, 46, -56, 65, 95, 97]
  Compare 54 and -94
  Swap 54 and -94
  List after swap: [-3, 0, 43, -94, 54, 46, -56, 65, 95, 97]
  Compare 54 and 46
  Swap 54 and 46
  List after swap: [-3, 0, 43, -94, 46, 54, -56, 65, 95, 97]
  Compare 54 and -56
  Swap 54 and -56
  List after swap: [-3, 0, 43, -94, 46, -56, 54, 65, 95, 97]

Pass 5:
  Compare -3 and 0
  No swap needed
  Compare 0 and 43
  No swap needed
  Compare 43 and -94
  Swap 43 and -94
  List after swap: [-3, 0, -94, 43, 46, -56, 54, 65, 95, 97]
  Compare 43 and 46
  No swap needed
  Compare 46 and -56
  Swap 46 and -56
  List after swap: [-3, 0, -94, 43, -56, 46, 54, 65, 95, 97]

Pass 6:
  Compare -3 and 0
  No swap needed
  Compare 0 and -94
  Swap 0 and -94
  List after swap: [-3, -94, 0, 43, -56, 46, 54, 65, 95, 97]
  Compare 0 and 43
  No swap needed
  Compare 43 and -56
  Swap 43 and -56
  List after swap: [-3, -94, 0, -56, 43, 46, 54, 65, 95, 97]

Pass 7:
  Compare -3 and -94
  Swap -3 and -94
  List after swap: [-94, -3, 0, -56, 43, 46, 54, 65, 95, 97]
  Compare -3 and 0
  No swap needed
  Compare 0 and -56
  Swap 0 and -56
  List after swap: [-94, -3, -56, 0, 43, 46, 54, 65, 95, 97]

Pass 8:
  Compare -94 and -3
  No swap needed
  Compare -3 and -56
  Swap -3 and -56
  List after swap: [-94, -56, -3, 0, 43, 46, 54, 65, 95, 97]

Pass 9:
  Compare -94 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -56, -3, 0, 43, 46, 54, 65, 95, 97]
</think>

<response>-94, -56, -3, 0, 43, 46, 54, 65, 95, 97</response>


input: Sort these integers 25, -18, 54, -36, 14, 91, 70, 75 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [25, -18, 54, -36, 14, 91, 70, 75]

Pass 1:
  Compare 25 and -18
  Swap 25 and -18
  List after swap: [-18, 25, 54, -36, 14, 91, 70, 75]
  Compare 25 and 54
  No swap needed
  Compare 54 and -36
  Swap 54 and -36
  List after swap: [-18, 25, -36, 54, 14, 91, 70, 75]
  Compare 54 and 14
  Swap 54 and 14
  List after swap: [-18, 25, -36, 14, 54, 91, 70, 75]
  Compare 54 and 91
  No swap needed
  Compare 91 and 70
  Swap 91 and 70
  List after swap: [-18, 25, -36, 14, 54, 70, 91, 75]
  Compare 91 and 75
  Swap 91 and 75
  List after swap: [-18, 25, -36, 14, 54, 70, 75, 91]

Pass 2:
  Compare -18 and 25
  No swap needed
  Compare 25 and -36
  Swap 25 and -36
  List after swap: [-18, -36, 25, 14, 54, 70, 75, 91]
  Compare 25 and 14
  Swap 25 and 14
  List after swap: [-18, -36, 14, 25, 54, 70, 75, 91]
  Compare 25 and 54
  No swap needed
  Compare 54 and 70
  No swap needed
  Compare 70 and 75
  No swap needed

Pass 3:
  Compare -18 and -36
  Swap -18 and -36
  List after swap: [-36, -18, 14, 25, 54, 70, 75, 91]
  Compare -18 and 14
  No swap needed
  Compare 14 and 25
  No swap needed
  Compare 25 and 54
  No swap needed
  Compare 54 and 70
  No swap needed

Pass 4:
  Compare -36 and -18
  No swap needed
  Compare -18 and 14
  No swap needed
  Compare 14 and 25
  No swap needed
  Compare 25 and 54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-36, -18, 14, 25, 54, 70, 75, 91]
</think>

<response>-36, -18, 14, 25, 54, 70, 75, 91</response>


input: Use the bubble sort technique to reorder -88, 21, 51 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-88, 21, 51]

Pass 1:
  Compare -88 and 21
  No swap needed
  Compare 21 and 51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, 21, 51]
</think>

<response>-88, 21, 51</response>


input: Execute bubble sort to sort 7, 50, 84 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [7, 50, 84]

Pass 1:
  Compare 7 and 50
  No swap needed
  Compare 50 and 84
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [7, 50, 84]
</think>

<response>7, 50, 84</response>


input: Implement bubble sort on -92, -67, -82, -14, -8, -12 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-92, -67, -82, -14, -8, -12]

Pass 1:
  Compare -92 and -67
  No swap needed
  Compare -67 and -82
  Swap -67 and -82
  List after swap: [-92, -82, -67, -14, -8, -12]
  Compare -67 and -14
  No swap needed
  Compare -14 and -8
  No swap needed
  Compare -8 and -12
  Swap -8 and -12
  List after swap: [-92, -82, -67, -14, -12, -8]

Pass 2:
  Compare -92 and -82
  No swap needed
  Compare -82 and -67
  No swap needed
  Compare -67 and -14
  No swap needed
  Compare -14 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -82, -67, -14, -12, -8]
</think>

<response>-92, -82, -67, -14, -12, -8</response>


input: Arrange the numbers -39, -59, -58, 96, 0 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-39, -59, -58, 96, 0]

Pass 1:
  Compare -39 and -59
  Swap -39 and -59
  List after swap: [-59, -39, -58, 96, 0]
  Compare -39 and -58
  Swap -39 and -58
  List after swap: [-59, -58, -39, 96, 0]
  Compare -39 and 96
  No swap needed
  Compare 96 and 0
  Swap 96 and 0
  List after swap: [-59, -58, -39, 0, 96]

Pass 2:
  Compare -59 and -58
  No swap needed
  Compare -58 and -39
  No swap needed
  Compare -39 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, -58, -39, 0, 96]
</think>

<response>-59, -58, -39, 0, 96</response>


input: Carry out the bubble sort algorithm on -82, 64, -88, -53 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-82, 64, -88, -53]

Pass 1:
  Compare -82 and 64
  No swap needed
  Compare 64 and -88
  Swap 64 and -88
  List after swap: [-82, -88, 64, -53]
  Compare 64 and -53
  Swap 64 and -53
  List after swap: [-82, -88, -53, 64]

Pass 2:
  Compare -82 and -88
  Swap -82 and -88
  List after swap: [-88, -82, -53, 64]
  Compare -82 and -53
  No swap needed

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

Final sorted list: [-88, -82, -53, 64]
</think>

<response>-88, -82, -53, 64</response>


input: Arrange the numbers 12, 38, 21, -47 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [12, 38, 21, -47]

Pass 1:
  Compare 12 and 38
  No swap needed
  Compare 38 and 21
  Swap 38 and 21
  List after swap: [12, 21, 38, -47]
  Compare 38 and -47
  Swap 38 and -47
  List after swap: [12, 21, -47, 38]

Pass 2:
  Compare 12 and 21
  No swap needed
  Compare 21 and -47
  Swap 21 and -47
  List after swap: [12, -47, 21, 38]

Pass 3:
  Compare 12 and -47
  Swap 12 and -47
  List after swap: [-47, 12, 21, 38]

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

Final sorted list: [-47, 12, 21, 38]
</think>

<response>-47, 12, 21, 38</response>


input: Demonstrate how bubble sort orders the integers 63, 7, 1, 16, -25, -36, 84, -78, -59 in ascending sequence, showing all steps.

output:
<think>
Initial list: [63, 7, 1, 16, -25, -36, 84, -78, -59]

Pass 1:
  Compare 63 and 7
  Swap 63 and 7
  List after swap: [7, 63, 1, 16, -25, -36, 84, -78, -59]
  Compare 63 and 1
  Swap 63 and 1
  List after swap: [7, 1, 63, 16, -25, -36, 84, -78, -59]
  Compare 63 and 16
  Swap 63 and 16
  List after swap: [7, 1, 16, 63, -25, -36, 84, -78, -59]
  Compare 63 and -25
  Swap 63 and -25
  List after swap: [7, 1, 16, -25, 63, -36, 84, -78, -59]
  Compare 63 and -36
  Swap 63 and -36
  List after swap: [7, 1, 16, -25, -36, 63, 84, -78, -59]
  Compare 63 and 84
  No swap needed
  Compare 84 and -78
  Swap 84 and -78
  List after swap: [7, 1, 16, -25, -36, 63, -78, 84, -59]
  Compare 84 and -59
  Swap 84 and -59
  List after swap: [7, 1, 16, -25, -36, 63, -78, -59, 84]

Pass 2:
  Compare 7 and 1
  Swap 7 and 1
  List after swap: [1, 7, 16, -25, -36, 63, -78, -59, 84]
  Compare 7 and 16
  No swap needed
  Compare 16 and -25
  Swap 16 and -25
  List after swap: [1, 7, -25, 16, -36, 63, -78, -59, 84]
  Compare 16 and -36
  Swap 16 and -36
  List after swap: [1, 7, -25, -36, 16, 63, -78, -59, 84]
  Compare 16 and 63
  No swap needed
  Compare 63 and -78
  Swap 63 and -78
  List after swap: [1, 7, -25, -36, 16, -78, 63, -59, 84]
  Compare 63 and -59
  Swap 63 and -59
  List after swap: [1, 7, -25, -36, 16, -78, -59, 63, 84]

Pass 3:
  Compare 1 and 7
  No swap needed
  Compare 7 and -25
  Swap 7 and -25
  List after swap: [1, -25, 7, -36, 16, -78, -59, 63, 84]
  Compare 7 and -36
  Swap 7 and -36
  List after swap: [1, -25, -36, 7, 16, -78, -59, 63, 84]
  Compare 7 and 16
  No swap needed
  Compare 16 and -78
  Swap 16 and -78
  List after swap: [1, -25, -36, 7, -78, 16, -59, 63, 84]
  Compare 16 and -59
  Swap 16 and -59
  List after swap: [1, -25, -36, 7, -78, -59, 16, 63, 84]

Pass 4:
  Compare 1 and -25
  Swap 1 and -25
  List after swap: [-25, 1, -36, 7, -78, -59, 16, 63, 84]
  Compare 1 and -36
  Swap 1 and -36
  List after swap: [-25, -36, 1, 7, -78, -59, 16, 63, 84]
  Compare 1 and 7
  No swap needed
  Compare 7 and -78
  Swap 7 and -78
  List after swap: [-25, -36, 1, -78, 7, -59, 16, 63, 84]
  Compare 7 and -59
  Swap 7 and -59
  List after swap: [-25, -36, 1, -78, -59, 7, 16, 63, 84]

Pass 5:
  Compare -25 and -36
  Swap -25 and -36
  List after swap: [-36, -25, 1, -78, -59, 7, 16, 63, 84]
  Compare -25 and 1
  No swap needed
  Compare 1 and -78
  Swap 1 and -78
  List after swap: [-36, -25, -78, 1, -59, 7, 16, 63, 84]
  Compare 1 and -59
  Swap 1 and -59
  List after swap: [-36, -25, -78, -59, 1, 7, 16, 63, 84]

Pass 6:
  Compare -36 and -25
  No swap needed
  Compare -25 and -78
  Swap -25 and -78
  List after swap: [-36, -78, -25, -59, 1, 7, 16, 63, 84]
  Compare -25 and -59
  Swap -25 and -59
  List after swap: [-36, -78, -59, -25, 1, 7, 16, 63, 84]

Pass 7:
  Compare -36 and -78
  Swap -36 and -78
  List after swap: [-78, -36, -59, -25, 1, 7, 16, 63, 84]
  Compare -36 and -59
  Swap -36 and -59
  List after swap: [-78, -59, -36, -25, 1, 7, 16, 63, 84]

Pass 8:
  Compare -78 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -59, -36, -25, 1, 7, 16, 63, 84]
</think>

<response>-78, -59, -36, -25, 1, 7, 16, 63, 84</response>


input: Execute bubble sort to sort 60, 40, -93, -90, 87, 44, 35, -31 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [60, 40, -93, -90, 87, 44, 35, -31]

Pass 1:
  Compare 60 and 40
  Swap 60 and 40
  List after swap: [40, 60, -93, -90, 87, 44, 35, -31]
  Compare 60 and -93
  Swap 60 and -93
  List after swap: [40, -93, 60, -90, 87, 44, 35, -31]
  Compare 60 and -90
  Swap 60 and -90
  List after swap: [40, -93, -90, 60, 87, 44, 35, -31]
  Compare 60 and 87
  No swap needed
  Compare 87 and 44
  Swap 87 and 44
  List after swap: [40, -93, -90, 60, 44, 87, 35, -31]
  Compare 87 and 35
  Swap 87 and 35
  List after swap: [40, -93, -90, 60, 44, 35, 87, -31]
  Compare 87 and -31
  Swap 87 and -31
  List after swap: [40, -93, -90, 60, 44, 35, -31, 87]

Pass 2:
  Compare 40 and -93
  Swap 40 and -93
  List after swap: [-93, 40, -90, 60, 44, 35, -31, 87]
  Compare 40 and -90
  Swap 40 and -90
  List after swap: [-93, -90, 40, 60, 44, 35, -31, 87]
  Compare 40 and 60
  No swap needed
  Compare 60 and 44
  Swap 60 and 44
  List after swap: [-93, -90, 40, 44, 60, 35, -31, 87]
  Compare 60 and 35
  Swap 60 and 35
  List after swap: [-93, -90, 40, 44, 35, 60, -31, 87]
  Compare 60 and -31
  Swap 60 and -31
  List after swap: [-93, -90, 40, 44, 35, -31, 60, 87]

Pass 3:
  Compare -93 and -90
  No swap needed
  Compare -90 and 40
  No swap needed
  Compare 40 and 44
  No swap needed
  Compare 44 and 35
  Swap 44 and 35
  List after swap: [-93, -90, 40, 35, 44, -31, 60, 87]
  Compare 44 and -31
  Swap 44 and -31
  List after swap: [-93, -90, 40, 35, -31, 44, 60, 87]

Pass 4:
  Compare -93 and -90
  No swap needed
  Compare -90 and 40
  No swap needed
  Compare 40 and 35
  Swap 40 and 35
  List after swap: [-93, -90, 35, 40, -31, 44, 60, 87]
  Compare 40 and -31
  Swap 40 and -31
  List after swap: [-93, -90, 35, -31, 40, 44, 60, 87]

Pass 5:
  Compare -93 and -90
  No swap needed
  Compare -90 and 35
  No swap needed
  Compare 35 and -31
  Swap 35 and -31
  List after swap: [-93, -90, -31, 35, 40, 44, 60, 87]

Pass 6:
  Compare -93 and -90
  No swap needed
  Compare -90 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -90, -31, 35, 40, 44, 60, 87]
</think>

<response>-93, -90, -31, 35, 40, 44, 60, 87</response>


input: Using the bubble sort method, sort -97, -89, 4, 59, -76, 91, -66, -37, -81 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-97, -89, 4, 59, -76, 91, -66, -37, -81]

Pass 1:
  Compare -97 and -89
  No swap needed
  Compare -89 and 4
  No swap needed
  Compare 4 and 59
  No swap needed
  Compare 59 and -76
  Swap 59 and -76
  List after swap: [-97, -89, 4, -76, 59, 91, -66, -37, -81]
  Compare 59 and 91
  No swap needed
  Compare 91 and -66
  Swap 91 and -66
  List after swap: [-97, -89, 4, -76, 59, -66, 91, -37, -81]
  Compare 91 and -37
  Swap 91 and -37
  List after swap: [-97, -89, 4, -76, 59, -66, -37, 91, -81]
  Compare 91 and -81
  Swap 91 and -81
  List after swap: [-97, -89, 4, -76, 59, -66, -37, -81, 91]

Pass 2:
  Compare -97 and -89
  No swap needed
  Compare -89 and 4
  No swap needed
  Compare 4 and -76
  Swap 4 and -76
  List after swap: [-97, -89, -76, 4, 59, -66, -37, -81, 91]
  Compare 4 and 59
  No swap needed
  Compare 59 and -66
  Swap 59 and -66
  List after swap: [-97, -89, -76, 4, -66, 59, -37, -81, 91]
  Compare 59 and -37
  Swap 59 and -37
  List after swap: [-97, -89, -76, 4, -66, -37, 59, -81, 91]
  Compare 59 and -81
  Swap 59 and -81
  List after swap: [-97, -89, -76, 4, -66, -37, -81, 59, 91]

Pass 3:
  Compare -97 and -89
  No swap needed
  Compare -89 and -76
  No swap needed
  Compare -76 and 4
  No swap needed
  Compare 4 and -66
  Swap 4 and -66
  List after swap: [-97, -89, -76, -66, 4, -37, -81, 59, 91]
  Compare 4 and -37
  Swap 4 and -37
  List after swap: [-97, -89, -76, -66, -37, 4, -81, 59, 91]
  Compare 4 and -81
  Swap 4 and -81
  List after swap: [-97, -89, -76, -66, -37, -81, 4, 59, 91]

Pass 4:
  Compare -97 and -89
  No swap needed
  Compare -89 and -76
  No swap needed
  Compare -76 and -66
  No swap needed
  Compare -66 and -37
  No swap needed
  Compare -37 and -81
  Swap -37 and -81
  List after swap: [-97, -89, -76, -66, -81, -37, 4, 59, 91]

Pass 5:
  Compare -97 and -89
  No swap needed
  Compare -89 and -76
  No swap needed
  Compare -76 and -66
  No swap needed
  Compare -66 and -81
  Swap -66 and -81
  List after swap: [-97, -89, -76, -81, -66, -37, 4, 59, 91]

Pass 6:
  Compare -97 and -89
  No swap needed
  Compare -89 and -76
  No swap needed
  Compare -76 and -81
  Swap -76 and -81
  List after swap: [-97, -89, -81, -76, -66, -37, 4, 59, 91]

Pass 7:
  Compare -97 and -89
  No swap needed
  Compare -89 and -81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -89, -81, -76, -66, -37, 4, 59, 91]
</think>

<response>-97, -89, -81, -76, -66, -37, 4, 59, 91</response>


input: Sort these integers 58, -65, 51 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [58, -65, 51]

Pass 1:
  Compare 58 and -65
  Swap 58 and -65
  List after swap: [-65, 58, 51]
  Compare 58 and 51
  Swap 58 and 51
  List after swap: [-65, 51, 58]

Pass 2:
  Compare -65 and 51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, 51, 58]
</think>

<response>-65, 51, 58</response>