input: Use bubble sort to organize these integers in increasing order and record each step taken: -87, 24, -23, 11, 88, -99, -14.

output:
<think>
Initial list: [-87, 24, -23, 11, 88, -99, -14]

Pass 1:
  Compare -87 and 24
  No swap needed
  Compare 24 and -23
  Swap 24 and -23
  List after swap: [-87, -23, 24, 11, 88, -99, -14]
  Compare 24 and 11
  Swap 24 and 11
  List after swap: [-87, -23, 11, 24, 88, -99, -14]
  Compare 24 and 88
  No swap needed
  Compare 88 and -99
  Swap 88 and -99
  List after swap: [-87, -23, 11, 24, -99, 88, -14]
  Compare 88 and -14
  Swap 88 and -14
  List after swap: [-87, -23, 11, 24, -99, -14, 88]

Pass 2:
  Compare -87 and -23
  No swap needed
  Compare -23 and 11
  No swap needed
  Compare 11 and 24
  No swap needed
  Compare 24 and -99
  Swap 24 and -99
  List after swap: [-87, -23, 11, -99, 24, -14, 88]
  Compare 24 and -14
  Swap 24 and -14
  List after swap: [-87, -23, 11, -99, -14, 24, 88]

Pass 3:
  Compare -87 and -23
  No swap needed
  Compare -23 and 11
  No swap needed
  Compare 11 and -99
  Swap 11 and -99
  List after swap: [-87, -23, -99, 11, -14, 24, 88]
  Compare 11 and -14
  Swap 11 and -14
  List after swap: [-87, -23, -99, -14, 11, 24, 88]

Pass 4:
  Compare -87 and -23
  No swap needed
  Compare -23 and -99
  Swap -23 and -99
  List after swap: [-87, -99, -23, -14, 11, 24, 88]
  Compare -23 and -14
  No swap needed

Pass 5:
  Compare -87 and -99
  Swap -87 and -99
  List after swap: [-99, -87, -23, -14, 11, 24, 88]
  Compare -87 and -23
  No swap needed

Pass 6:
  Compare -99 and -87
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -87, -23, -14, 11, 24, 88]
</think>

<response>-99, -87, -23, -14, 11, 24, 88</response>


input: Implement bubble sort on 85, -59 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [85, -59]

Pass 1:
  Compare 85 and -59
  Swap 85 and -59
  List after swap: [-59, 85]

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

Final sorted list: [-59, 85]
</think>

<response>-59, 85</response>


input: Demonstrate how bubble sort orders the integers 93, 90, -92, 78, -96, 54 in ascending sequence, showing all steps.

output:
<think>
Initial list: [93, 90, -92, 78, -96, 54]

Pass 1:
  Compare 93 and 90
  Swap 93 and 90
  List after swap: [90, 93, -92, 78, -96, 54]
  Compare 93 and -92
  Swap 93 and -92
  List after swap: [90, -92, 93, 78, -96, 54]
  Compare 93 and 78
  Swap 93 and 78
  List after swap: [90, -92, 78, 93, -96, 54]
  Compare 93 and -96
  Swap 93 and -96
  List after swap: [90, -92, 78, -96, 93, 54]
  Compare 93 and 54
  Swap 93 and 54
  List after swap: [90, -92, 78, -96, 54, 93]

Pass 2:
  Compare 90 and -92
  Swap 90 and -92
  List after swap: [-92, 90, 78, -96, 54, 93]
  Compare 90 and 78
  Swap 90 and 78
  List after swap: [-92, 78, 90, -96, 54, 93]
  Compare 90 and -96
  Swap 90 and -96
  List after swap: [-92, 78, -96, 90, 54, 93]
  Compare 90 and 54
  Swap 90 and 54
  List after swap: [-92, 78, -96, 54, 90, 93]

Pass 3:
  Compare -92 and 78
  No swap needed
  Compare 78 and -96
  Swap 78 and -96
  List after swap: [-92, -96, 78, 54, 90, 93]
  Compare 78 and 54
  Swap 78 and 54
  List after swap: [-92, -96, 54, 78, 90, 93]

Pass 4:
  Compare -92 and -96
  Swap -92 and -96
  List after swap: [-96, -92, 54, 78, 90, 93]
  Compare -92 and 54
  No swap needed

Pass 5:
  Compare -96 and -92
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -92, 54, 78, 90, 93]
</think>

<response>-96, -92, 54, 78, 90, 93</response>


input: Sort the list -100, 26, -62, -1, 83, -27 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-100, 26, -62, -1, 83, -27]

Pass 1:
  Compare -100 and 26
  No swap needed
  Compare 26 and -62
  Swap 26 and -62
  List after swap: [-100, -62, 26, -1, 83, -27]
  Compare 26 and -1
  Swap 26 and -1
  List after swap: [-100, -62, -1, 26, 83, -27]
  Compare 26 and 83
  No swap needed
  Compare 83 and -27
  Swap 83 and -27
  List after swap: [-100, -62, -1, 26, -27, 83]

Pass 2:
  Compare -100 and -62
  No swap needed
  Compare -62 and -1
  No swap needed
  Compare -1 and 26
  No swap needed
  Compare 26 and -27
  Swap 26 and -27
  List after swap: [-100, -62, -1, -27, 26, 83]

Pass 3:
  Compare -100 and -62
  No swap needed
  Compare -62 and -1
  No swap needed
  Compare -1 and -27
  Swap -1 and -27
  List after swap: [-100, -62, -27, -1, 26, 83]

Pass 4:
  Compare -100 and -62
  No swap needed
  Compare -62 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -62, -27, -1, 26, 83]
</think>

<response>-100, -62, -27, -1, 26, 83</response>


input: Sort these integers 38, -34, 30, -19 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [38, -34, 30, -19]

Pass 1:
  Compare 38 and -34
  Swap 38 and -34
  List after swap: [-34, 38, 30, -19]
  Compare 38 and 30
  Swap 38 and 30
  List after swap: [-34, 30, 38, -19]
  Compare 38 and -19
  Swap 38 and -19
  List after swap: [-34, 30, -19, 38]

Pass 2:
  Compare -34 and 30
  No swap needed
  Compare 30 and -19
  Swap 30 and -19
  List after swap: [-34, -19, 30, 38]

Pass 3:
  Compare -34 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-34, -19, 30, 38]
</think>

<response>-34, -19, 30, 38</response>


input: Execute bubble sort to sort -13, -48, 42, -61, 57, -84, 10 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-13, -48, 42, -61, 57, -84, 10]

Pass 1:
  Compare -13 and -48
  Swap -13 and -48
  List after swap: [-48, -13, 42, -61, 57, -84, 10]
  Compare -13 and 42
  No swap needed
  Compare 42 and -61
  Swap 42 and -61
  List after swap: [-48, -13, -61, 42, 57, -84, 10]
  Compare 42 and 57
  No swap needed
  Compare 57 and -84
  Swap 57 and -84
  List after swap: [-48, -13, -61, 42, -84, 57, 10]
  Compare 57 and 10
  Swap 57 and 10
  List after swap: [-48, -13, -61, 42, -84, 10, 57]

Pass 2:
  Compare -48 and -13
  No swap needed
  Compare -13 and -61
  Swap -13 and -61
  List after swap: [-48, -61, -13, 42, -84, 10, 57]
  Compare -13 and 42
  No swap needed
  Compare 42 and -84
  Swap 42 and -84
  List after swap: [-48, -61, -13, -84, 42, 10, 57]
  Compare 42 and 10
  Swap 42 and 10
  List after swap: [-48, -61, -13, -84, 10, 42, 57]

Pass 3:
  Compare -48 and -61
  Swap -48 and -61
  List after swap: [-61, -48, -13, -84, 10, 42, 57]
  Compare -48 and -13
  No swap needed
  Compare -13 and -84
  Swap -13 and -84
  List after swap: [-61, -48, -84, -13, 10, 42, 57]
  Compare -13 and 10
  No swap needed

Pass 4:
  Compare -61 and -48
  No swap needed
  Compare -48 and -84
  Swap -48 and -84
  List after swap: [-61, -84, -48, -13, 10, 42, 57]
  Compare -48 and -13
  No swap needed

Pass 5:
  Compare -61 and -84
  Swap -61 and -84
  List after swap: [-84, -61, -48, -13, 10, 42, 57]
  Compare -61 and -48
  No swap needed

Pass 6:
  Compare -84 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -61, -48, -13, 10, 42, 57]
</think>

<response>-84, -61, -48, -13, 10, 42, 57</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 87, -61, 92, 1, 7, -86, -81, -78.

output:
<think>
Initial list: [87, -61, 92, 1, 7, -86, -81, -78]

Pass 1:
  Compare 87 and -61
  Swap 87 and -61
  List after swap: [-61, 87, 92, 1, 7, -86, -81, -78]
  Compare 87 and 92
  No swap needed
  Compare 92 and 1
  Swap 92 and 1
  List after swap: [-61, 87, 1, 92, 7, -86, -81, -78]
  Compare 92 and 7
  Swap 92 and 7
  List after swap: [-61, 87, 1, 7, 92, -86, -81, -78]
  Compare 92 and -86
  Swap 92 and -86
  List after swap: [-61, 87, 1, 7, -86, 92, -81, -78]
  Compare 92 and -81
  Swap 92 and -81
  List after swap: [-61, 87, 1, 7, -86, -81, 92, -78]
  Compare 92 and -78
  Swap 92 and -78
  List after swap: [-61, 87, 1, 7, -86, -81, -78, 92]

Pass 2:
  Compare -61 and 87
  No swap needed
  Compare 87 and 1
  Swap 87 and 1
  List after swap: [-61, 1, 87, 7, -86, -81, -78, 92]
  Compare 87 and 7
  Swap 87 and 7
  List after swap: [-61, 1, 7, 87, -86, -81, -78, 92]
  Compare 87 and -86
  Swap 87 and -86
  List after swap: [-61, 1, 7, -86, 87, -81, -78, 92]
  Compare 87 and -81
  Swap 87 and -81
  List after swap: [-61, 1, 7, -86, -81, 87, -78, 92]
  Compare 87 and -78
  Swap 87 and -78
  List after swap: [-61, 1, 7, -86, -81, -78, 87, 92]

Pass 3:
  Compare -61 and 1
  No swap needed
  Compare 1 and 7
  No swap needed
  Compare 7 and -86
  Swap 7 and -86
  List after swap: [-61, 1, -86, 7, -81, -78, 87, 92]
  Compare 7 and -81
  Swap 7 and -81
  List after swap: [-61, 1, -86, -81, 7, -78, 87, 92]
  Compare 7 and -78
  Swap 7 and -78
  List after swap: [-61, 1, -86, -81, -78, 7, 87, 92]

Pass 4:
  Compare -61 and 1
  No swap needed
  Compare 1 and -86
  Swap 1 and -86
  List after swap: [-61, -86, 1, -81, -78, 7, 87, 92]
  Compare 1 and -81
  Swap 1 and -81
  List after swap: [-61, -86, -81, 1, -78, 7, 87, 92]
  Compare 1 and -78
  Swap 1 and -78
  List after swap: [-61, -86, -81, -78, 1, 7, 87, 92]

Pass 5:
  Compare -61 and -86
  Swap -61 and -86
  List after swap: [-86, -61, -81, -78, 1, 7, 87, 92]
  Compare -61 and -81
  Swap -61 and -81
  List after swap: [-86, -81, -61, -78, 1, 7, 87, 92]
  Compare -61 and -78
  Swap -61 and -78
  List after swap: [-86, -81, -78, -61, 1, 7, 87, 92]

Pass 6:
  Compare -86 and -81
  No swap needed
  Compare -81 and -78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -81, -78, -61, 1, 7, 87, 92]
</think>

<response>-86, -81, -78, -61, 1, 7, 87, 92</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -29, -59, 15, 57, -61, -26.

output:
<think>
Initial list: [-29, -59, 15, 57, -61, -26]

Pass 1:
  Compare -29 and -59
  Swap -29 and -59
  List after swap: [-59, -29, 15, 57, -61, -26]
  Compare -29 and 15
  No swap needed
  Compare 15 and 57
  No swap needed
  Compare 57 and -61
  Swap 57 and -61
  List after swap: [-59, -29, 15, -61, 57, -26]
  Compare 57 and -26
  Swap 57 and -26
  List after swap: [-59, -29, 15, -61, -26, 57]

Pass 2:
  Compare -59 and -29
  No swap needed
  Compare -29 and 15
  No swap needed
  Compare 15 and -61
  Swap 15 and -61
  List after swap: [-59, -29, -61, 15, -26, 57]
  Compare 15 and -26
  Swap 15 and -26
  List after swap: [-59, -29, -61, -26, 15, 57]

Pass 3:
  Compare -59 and -29
  No swap needed
  Compare -29 and -61
  Swap -29 and -61
  List after swap: [-59, -61, -29, -26, 15, 57]
  Compare -29 and -26
  No swap needed

Pass 4:
  Compare -59 and -61
  Swap -59 and -61
  List after swap: [-61, -59, -29, -26, 15, 57]
  Compare -59 and -29
  No swap needed

Pass 5:
  Compare -61 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -59, -29, -26, 15, 57]
</think>

<response>-61, -59, -29, -26, 15, 57</response>


input: Demonstrate how bubble sort orders the integers 27, 50, 96, 90, 89, -87, -90 in ascending sequence, showing all steps.

output:
<think>
Initial list: [27, 50, 96, 90, 89, -87, -90]

Pass 1:
  Compare 27 and 50
  No swap needed
  Compare 50 and 96
  No swap needed
  Compare 96 and 90
  Swap 96 and 90
  List after swap: [27, 50, 90, 96, 89, -87, -90]
  Compare 96 and 89
  Swap 96 and 89
  List after swap: [27, 50, 90, 89, 96, -87, -90]
  Compare 96 and -87
  Swap 96 and -87
  List after swap: [27, 50, 90, 89, -87, 96, -90]
  Compare 96 and -90
  Swap 96 and -90
  List after swap: [27, 50, 90, 89, -87, -90, 96]

Pass 2:
  Compare 27 and 50
  No swap needed
  Compare 50 and 90
  No swap needed
  Compare 90 and 89
  Swap 90 and 89
  List after swap: [27, 50, 89, 90, -87, -90, 96]
  Compare 90 and -87
  Swap 90 and -87
  List after swap: [27, 50, 89, -87, 90, -90, 96]
  Compare 90 and -90
  Swap 90 and -90
  List after swap: [27, 50, 89, -87, -90, 90, 96]

Pass 3:
  Compare 27 and 50
  No swap needed
  Compare 50 and 89
  No swap needed
  Compare 89 and -87
  Swap 89 and -87
  List after swap: [27, 50, -87, 89, -90, 90, 96]
  Compare 89 and -90
  Swap 89 and -90
  List after swap: [27, 50, -87, -90, 89, 90, 96]

Pass 4:
  Compare 27 and 50
  No swap needed
  Compare 50 and -87
  Swap 50 and -87
  List after swap: [27, -87, 50, -90, 89, 90, 96]
  Compare 50 and -90
  Swap 50 and -90
  List after swap: [27, -87, -90, 50, 89, 90, 96]

Pass 5:
  Compare 27 and -87
  Swap 27 and -87
  List after swap: [-87, 27, -90, 50, 89, 90, 96]
  Compare 27 and -90
  Swap 27 and -90
  List after swap: [-87, -90, 27, 50, 89, 90, 96]

Pass 6:
  Compare -87 and -90
  Swap -87 and -90
  List after swap: [-90, -87, 27, 50, 89, 90, 96]

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

Final sorted list: [-90, -87, 27, 50, 89, 90, 96]
</think>

<response>-90, -87, 27, 50, 89, 90, 96</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -28, 26, -7, -6, 51, 46, 71, -98, 0, -51.

output:
<think>
Initial list: [-28, 26, -7, -6, 51, 46, 71, -98, 0, -51]

Pass 1:
  Compare -28 and 26
  No swap needed
  Compare 26 and -7
  Swap 26 and -7
  List after swap: [-28, -7, 26, -6, 51, 46, 71, -98, 0, -51]
  Compare 26 and -6
  Swap 26 and -6
  List after swap: [-28, -7, -6, 26, 51, 46, 71, -98, 0, -51]
  Compare 26 and 51
  No swap needed
  Compare 51 and 46
  Swap 51 and 46
  List after swap: [-28, -7, -6, 26, 46, 51, 71, -98, 0, -51]
  Compare 51 and 71
  No swap needed
  Compare 71 and -98
  Swap 71 and -98
  List after swap: [-28, -7, -6, 26, 46, 51, -98, 71, 0, -51]
  Compare 71 and 0
  Swap 71 and 0
  List after swap: [-28, -7, -6, 26, 46, 51, -98, 0, 71, -51]
  Compare 71 and -51
  Swap 71 and -51
  List after swap: [-28, -7, -6, 26, 46, 51, -98, 0, -51, 71]

Pass 2:
  Compare -28 and -7
  No swap needed
  Compare -7 and -6
  No swap needed
  Compare -6 and 26
  No swap needed
  Compare 26 and 46
  No swap needed
  Compare 46 and 51
  No swap needed
  Compare 51 and -98
  Swap 51 and -98
  List after swap: [-28, -7, -6, 26, 46, -98, 51, 0, -51, 71]
  Compare 51 and 0
  Swap 51 and 0
  List after swap: [-28, -7, -6, 26, 46, -98, 0, 51, -51, 71]
  Compare 51 and -51
  Swap 51 and -51
  List after swap: [-28, -7, -6, 26, 46, -98, 0, -51, 51, 71]

Pass 3:
  Compare -28 and -7
  No swap needed
  Compare -7 and -6
  No swap needed
  Compare -6 and 26
  No swap needed
  Compare 26 and 46
  No swap needed
  Compare 46 and -98
  Swap 46 and -98
  List after swap: [-28, -7, -6, 26, -98, 46, 0, -51, 51, 71]
  Compare 46 and 0
  Swap 46 and 0
  List after swap: [-28, -7, -6, 26, -98, 0, 46, -51, 51, 71]
  Compare 46 and -51
  Swap 46 and -51
  List after swap: [-28, -7, -6, 26, -98, 0, -51, 46, 51, 71]

Pass 4:
  Compare -28 and -7
  No swap needed
  Compare -7 and -6
  No swap needed
  Compare -6 and 26
  No swap needed
  Compare 26 and -98
  Swap 26 and -98
  List after swap: [-28, -7, -6, -98, 26, 0, -51, 46, 51, 71]
  Compare 26 and 0
  Swap 26 and 0
  List after swap: [-28, -7, -6, -98, 0, 26, -51, 46, 51, 71]
  Compare 26 and -51
  Swap 26 and -51
  List after swap: [-28, -7, -6, -98, 0, -51, 26, 46, 51, 71]

Pass 5:
  Compare -28 and -7
  No swap needed
  Compare -7 and -6
  No swap needed
  Compare -6 and -98
  Swap -6 and -98
  List after swap: [-28, -7, -98, -6, 0, -51, 26, 46, 51, 71]
  Compare -6 and 0
  No swap needed
  Compare 0 and -51
  Swap 0 and -51
  List after swap: [-28, -7, -98, -6, -51, 0, 26, 46, 51, 71]

Pass 6:
  Compare -28 and -7
  No swap needed
  Compare -7 and -98
  Swap -7 and -98
  List after swap: [-28, -98, -7, -6, -51, 0, 26, 46, 51, 71]
  Compare -7 and -6
  No swap needed
  Compare -6 and -51
  Swap -6 and -51
  List after swap: [-28, -98, -7, -51, -6, 0, 26, 46, 51, 71]

Pass 7:
  Compare -28 and -98
  Swap -28 and -98
  List after swap: [-98, -28, -7, -51, -6, 0, 26, 46, 51, 71]
  Compare -28 and -7
  No swap needed
  Compare -7 and -51
  Swap -7 and -51
  List after swap: [-98, -28, -51, -7, -6, 0, 26, 46, 51, 71]

Pass 8:
  Compare -98 and -28
  No swap needed
  Compare -28 and -51
  Swap -28 and -51
  List after swap: [-98, -51, -28, -7, -6, 0, 26, 46, 51, 71]

Pass 9:
  Compare -98 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -51, -28, -7, -6, 0, 26, 46, 51, 71]
</think>

<response>-98, -51, -28, -7, -6, 0, 26, 46, 51, 71</response>


input: Carry out the bubble sort algorithm on 31, 85, 19, -60, 70, 63, -87, -11, 9, -94 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [31, 85, 19, -60, 70, 63, -87, -11, 9, -94]

Pass 1:
  Compare 31 and 85
  No swap needed
  Compare 85 and 19
  Swap 85 and 19
  List after swap: [31, 19, 85, -60, 70, 63, -87, -11, 9, -94]
  Compare 85 and -60
  Swap 85 and -60
  List after swap: [31, 19, -60, 85, 70, 63, -87, -11, 9, -94]
  Compare 85 and 70
  Swap 85 and 70
  List after swap: [31, 19, -60, 70, 85, 63, -87, -11, 9, -94]
  Compare 85 and 63
  Swap 85 and 63
  List after swap: [31, 19, -60, 70, 63, 85, -87, -11, 9, -94]
  Compare 85 and -87
  Swap 85 and -87
  List after swap: [31, 19, -60, 70, 63, -87, 85, -11, 9, -94]
  Compare 85 and -11
  Swap 85 and -11
  List after swap: [31, 19, -60, 70, 63, -87, -11, 85, 9, -94]
  Compare 85 and 9
  Swap 85 and 9
  List after swap: [31, 19, -60, 70, 63, -87, -11, 9, 85, -94]
  Compare 85 and -94
  Swap 85 and -94
  List after swap: [31, 19, -60, 70, 63, -87, -11, 9, -94, 85]

Pass 2:
  Compare 31 and 19
  Swap 31 and 19
  List after swap: [19, 31, -60, 70, 63, -87, -11, 9, -94, 85]
  Compare 31 and -60
  Swap 31 and -60
  List after swap: [19, -60, 31, 70, 63, -87, -11, 9, -94, 85]
  Compare 31 and 70
  No swap needed
  Compare 70 and 63
  Swap 70 and 63
  List after swap: [19, -60, 31, 63, 70, -87, -11, 9, -94, 85]
  Compare 70 and -87
  Swap 70 and -87
  List after swap: [19, -60, 31, 63, -87, 70, -11, 9, -94, 85]
  Compare 70 and -11
  Swap 70 and -11
  List after swap: [19, -60, 31, 63, -87, -11, 70, 9, -94, 85]
  Compare 70 and 9
  Swap 70 and 9
  List after swap: [19, -60, 31, 63, -87, -11, 9, 70, -94, 85]
  Compare 70 and -94
  Swap 70 and -94
  List after swap: [19, -60, 31, 63, -87, -11, 9, -94, 70, 85]

Pass 3:
  Compare 19 and -60
  Swap 19 and -60
  List after swap: [-60, 19, 31, 63, -87, -11, 9, -94, 70, 85]
  Compare 19 and 31
  No swap needed
  Compare 31 and 63
  No swap needed
  Compare 63 and -87
  Swap 63 and -87
  List after swap: [-60, 19, 31, -87, 63, -11, 9, -94, 70, 85]
  Compare 63 and -11
  Swap 63 and -11
  List after swap: [-60, 19, 31, -87, -11, 63, 9, -94, 70, 85]
  Compare 63 and 9
  Swap 63 and 9
  List after swap: [-60, 19, 31, -87, -11, 9, 63, -94, 70, 85]
  Compare 63 and -94
  Swap 63 and -94
  List after swap: [-60, 19, 31, -87, -11, 9, -94, 63, 70, 85]

Pass 4:
  Compare -60 and 19
  No swap needed
  Compare 19 and 31
  No swap needed
  Compare 31 and -87
  Swap 31 and -87
  List after swap: [-60, 19, -87, 31, -11, 9, -94, 63, 70, 85]
  Compare 31 and -11
  Swap 31 and -11
  List after swap: [-60, 19, -87, -11, 31, 9, -94, 63, 70, 85]
  Compare 31 and 9
  Swap 31 and 9
  List after swap: [-60, 19, -87, -11, 9, 31, -94, 63, 70, 85]
  Compare 31 and -94
  Swap 31 and -94
  List after swap: [-60, 19, -87, -11, 9, -94, 31, 63, 70, 85]

Pass 5:
  Compare -60 and 19
  No swap needed
  Compare 19 and -87
  Swap 19 and -87
  List after swap: [-60, -87, 19, -11, 9, -94, 31, 63, 70, 85]
  Compare 19 and -11
  Swap 19 and -11
  List after swap: [-60, -87, -11, 19, 9, -94, 31, 63, 70, 85]
  Compare 19 and 9
  Swap 19 and 9
  List after swap: [-60, -87, -11, 9, 19, -94, 31, 63, 70, 85]
  Compare 19 and -94
  Swap 19 and -94
  List after swap: [-60, -87, -11, 9, -94, 19, 31, 63, 70, 85]

Pass 6:
  Compare -60 and -87
  Swap -60 and -87
  List after swap: [-87, -60, -11, 9, -94, 19, 31, 63, 70, 85]
  Compare -60 and -11
  No swap needed
  Compare -11 and 9
  No swap needed
  Compare 9 and -94
  Swap 9 and -94
  List after swap: [-87, -60, -11, -94, 9, 19, 31, 63, 70, 85]

Pass 7:
  Compare -87 and -60
  No swap needed
  Compare -60 and -11
  No swap needed
  Compare -11 and -94
  Swap -11 and -94
  List after swap: [-87, -60, -94, -11, 9, 19, 31, 63, 70, 85]

Pass 8:
  Compare -87 and -60
  No swap needed
  Compare -60 and -94
  Swap -60 and -94
  List after swap: [-87, -94, -60, -11, 9, 19, 31, 63, 70, 85]

Pass 9:
  Compare -87 and -94
  Swap -87 and -94
  List after swap: [-94, -87, -60, -11, 9, 19, 31, 63, 70, 85]

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

Final sorted list: [-94, -87, -60, -11, 9, 19, 31, 63, 70, 85]
</think>

<response>-94, -87, -60, -11, 9, 19, 31, 63, 70, 85</response>


input: Sort the list 76, -84, 80, -19, -20, 43, 98, -9, 95, 58 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [76, -84, 80, -19, -20, 43, 98, -9, 95, 58]

Pass 1:
  Compare 76 and -84
  Swap 76 and -84
  List after swap: [-84, 76, 80, -19, -20, 43, 98, -9, 95, 58]
  Compare 76 and 80
  No swap needed
  Compare 80 and -19
  Swap 80 and -19
  List after swap: [-84, 76, -19, 80, -20, 43, 98, -9, 95, 58]
  Compare 80 and -20
  Swap 80 and -20
  List after swap: [-84, 76, -19, -20, 80, 43, 98, -9, 95, 58]
  Compare 80 and 43
  Swap 80 and 43
  List after swap: [-84, 76, -19, -20, 43, 80, 98, -9, 95, 58]
  Compare 80 and 98
  No swap needed
  Compare 98 and -9
  Swap 98 and -9
  List after swap: [-84, 76, -19, -20, 43, 80, -9, 98, 95, 58]
  Compare 98 and 95
  Swap 98 and 95
  List after swap: [-84, 76, -19, -20, 43, 80, -9, 95, 98, 58]
  Compare 98 and 58
  Swap 98 and 58
  List after swap: [-84, 76, -19, -20, 43, 80, -9, 95, 58, 98]

Pass 2:
  Compare -84 and 76
  No swap needed
  Compare 76 and -19
  Swap 76 and -19
  List after swap: [-84, -19, 76, -20, 43, 80, -9, 95, 58, 98]
  Compare 76 and -20
  Swap 76 and -20
  List after swap: [-84, -19, -20, 76, 43, 80, -9, 95, 58, 98]
  Compare 76 and 43
  Swap 76 and 43
  List after swap: [-84, -19, -20, 43, 76, 80, -9, 95, 58, 98]
  Compare 76 and 80
  No swap needed
  Compare 80 and -9
  Swap 80 and -9
  List after swap: [-84, -19, -20, 43, 76, -9, 80, 95, 58, 98]
  Compare 80 and 95
  No swap needed
  Compare 95 and 58
  Swap 95 and 58
  List after swap: [-84, -19, -20, 43, 76, -9, 80, 58, 95, 98]

Pass 3:
  Compare -84 and -19
  No swap needed
  Compare -19 and -20
  Swap -19 and -20
  List after swap: [-84, -20, -19, 43, 76, -9, 80, 58, 95, 98]
  Compare -19 and 43
  No swap needed
  Compare 43 and 76
  No swap needed
  Compare 76 and -9
  Swap 76 and -9
  List after swap: [-84, -20, -19, 43, -9, 76, 80, 58, 95, 98]
  Compare 76 and 80
  No swap needed
  Compare 80 and 58
  Swap 80 and 58
  List after swap: [-84, -20, -19, 43, -9, 76, 58, 80, 95, 98]

Pass 4:
  Compare -84 and -20
  No swap needed
  Compare -20 and -19
  No swap needed
  Compare -19 and 43
  No swap needed
  Compare 43 and -9
  Swap 43 and -9
  List after swap: [-84, -20, -19, -9, 43, 76, 58, 80, 95, 98]
  Compare 43 and 76
  No swap needed
  Compare 76 and 58
  Swap 76 and 58
  List after swap: [-84, -20, -19, -9, 43, 58, 76, 80, 95, 98]

Pass 5:
  Compare -84 and -20
  No swap needed
  Compare -20 and -19
  No swap needed
  Compare -19 and -9
  No swap needed
  Compare -9 and 43
  No swap needed
  Compare 43 and 58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -20, -19, -9, 43, 58, 76, 80, 95, 98]
</think>

<response>-84, -20, -19, -9, 43, 58, 76, 80, 95, 98</response>


input: Using the bubble sort method, sort -62, 29, -45, -50, 80, 65 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-62, 29, -45, -50, 80, 65]

Pass 1:
  Compare -62 and 29
  No swap needed
  Compare 29 and -45
  Swap 29 and -45
  List after swap: [-62, -45, 29, -50, 80, 65]
  Compare 29 and -50
  Swap 29 and -50
  List after swap: [-62, -45, -50, 29, 80, 65]
  Compare 29 and 80
  No swap needed
  Compare 80 and 65
  Swap 80 and 65
  List after swap: [-62, -45, -50, 29, 65, 80]

Pass 2:
  Compare -62 and -45
  No swap needed
  Compare -45 and -50
  Swap -45 and -50
  List after swap: [-62, -50, -45, 29, 65, 80]
  Compare -45 and 29
  No swap needed
  Compare 29 and 65
  No swap needed

Pass 3:
  Compare -62 and -50
  No swap needed
  Compare -50 and -45
  No swap needed
  Compare -45 and 29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -50, -45, 29, 65, 80]
</think>

<response>-62, -50, -45, 29, 65, 80</response>


input: Sort the list 11, 87, -42, 14 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [11, 87, -42, 14]

Pass 1:
  Compare 11 and 87
  No swap needed
  Compare 87 and -42
  Swap 87 and -42
  List after swap: [11, -42, 87, 14]
  Compare 87 and 14
  Swap 87 and 14
  List after swap: [11, -42, 14, 87]

Pass 2:
  Compare 11 and -42
  Swap 11 and -42
  List after swap: [-42, 11, 14, 87]
  Compare 11 and 14
  No swap needed

Pass 3:
  Compare -42 and 11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-42, 11, 14, 87]
</think>

<response>-42, 11, 14, 87</response>


input: Arrange the numbers 67, 69, 34, -50, -95, 27 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [67, 69, 34, -50, -95, 27]

Pass 1:
  Compare 67 and 69
  No swap needed
  Compare 69 and 34
  Swap 69 and 34
  List after swap: [67, 34, 69, -50, -95, 27]
  Compare 69 and -50
  Swap 69 and -50
  List after swap: [67, 34, -50, 69, -95, 27]
  Compare 69 and -95
  Swap 69 and -95
  List after swap: [67, 34, -50, -95, 69, 27]
  Compare 69 and 27
  Swap 69 and 27
  List after swap: [67, 34, -50, -95, 27, 69]

Pass 2:
  Compare 67 and 34
  Swap 67 and 34
  List after swap: [34, 67, -50, -95, 27, 69]
  Compare 67 and -50
  Swap 67 and -50
  List after swap: [34, -50, 67, -95, 27, 69]
  Compare 67 and -95
  Swap 67 and -95
  List after swap: [34, -50, -95, 67, 27, 69]
  Compare 67 and 27
  Swap 67 and 27
  List after swap: [34, -50, -95, 27, 67, 69]

Pass 3:
  Compare 34 and -50
  Swap 34 and -50
  List after swap: [-50, 34, -95, 27, 67, 69]
  Compare 34 and -95
  Swap 34 and -95
  List after swap: [-50, -95, 34, 27, 67, 69]
  Compare 34 and 27
  Swap 34 and 27
  List after swap: [-50, -95, 27, 34, 67, 69]

Pass 4:
  Compare -50 and -95
  Swap -50 and -95
  List after swap: [-95, -50, 27, 34, 67, 69]
  Compare -50 and 27
  No swap needed

Pass 5:
  Compare -95 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -50, 27, 34, 67, 69]
</think>

<response>-95, -50, 27, 34, 67, 69</response>


input: Use the bubble sort technique to reorder 78, 75, 77, 53, 1, -84, 60, 49, -38 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [78, 75, 77, 53, 1, -84, 60, 49, -38]

Pass 1:
  Compare 78 and 75
  Swap 78 and 75
  List after swap: [75, 78, 77, 53, 1, -84, 60, 49, -38]
  Compare 78 and 77
  Swap 78 and 77
  List after swap: [75, 77, 78, 53, 1, -84, 60, 49, -38]
  Compare 78 and 53
  Swap 78 and 53
  List after swap: [75, 77, 53, 78, 1, -84, 60, 49, -38]
  Compare 78 and 1
  Swap 78 and 1
  List after swap: [75, 77, 53, 1, 78, -84, 60, 49, -38]
  Compare 78 and -84
  Swap 78 and -84
  List after swap: [75, 77, 53, 1, -84, 78, 60, 49, -38]
  Compare 78 and 60
  Swap 78 and 60
  List after swap: [75, 77, 53, 1, -84, 60, 78, 49, -38]
  Compare 78 and 49
  Swap 78 and 49
  List after swap: [75, 77, 53, 1, -84, 60, 49, 78, -38]
  Compare 78 and -38
  Swap 78 and -38
  List after swap: [75, 77, 53, 1, -84, 60, 49, -38, 78]

Pass 2:
  Compare 75 and 77
  No swap needed
  Compare 77 and 53
  Swap 77 and 53
  List after swap: [75, 53, 77, 1, -84, 60, 49, -38, 78]
  Compare 77 and 1
  Swap 77 and 1
  List after swap: [75, 53, 1, 77, -84, 60, 49, -38, 78]
  Compare 77 and -84
  Swap 77 and -84
  List after swap: [75, 53, 1, -84, 77, 60, 49, -38, 78]
  Compare 77 and 60
  Swap 77 and 60
  List after swap: [75, 53, 1, -84, 60, 77, 49, -38, 78]
  Compare 77 and 49
  Swap 77 and 49
  List after swap: [75, 53, 1, -84, 60, 49, 77, -38, 78]
  Compare 77 and -38
  Swap 77 and -38
  List after swap: [75, 53, 1, -84, 60, 49, -38, 77, 78]

Pass 3:
  Compare 75 and 53
  Swap 75 and 53
  List after swap: [53, 75, 1, -84, 60, 49, -38, 77, 78]
  Compare 75 and 1
  Swap 75 and 1
  List after swap: [53, 1, 75, -84, 60, 49, -38, 77, 78]
  Compare 75 and -84
  Swap 75 and -84
  List after swap: [53, 1, -84, 75, 60, 49, -38, 77, 78]
  Compare 75 and 60
  Swap 75 and 60
  List after swap: [53, 1, -84, 60, 75, 49, -38, 77, 78]
  Compare 75 and 49
  Swap 75 and 49
  List after swap: [53, 1, -84, 60, 49, 75, -38, 77, 78]
  Compare 75 and -38
  Swap 75 and -38
  List after swap: [53, 1, -84, 60, 49, -38, 75, 77, 78]

Pass 4:
  Compare 53 and 1
  Swap 53 and 1
  List after swap: [1, 53, -84, 60, 49, -38, 75, 77, 78]
  Compare 53 and -84
  Swap 53 and -84
  List after swap: [1, -84, 53, 60, 49, -38, 75, 77, 78]
  Compare 53 and 60
  No swap needed
  Compare 60 and 49
  Swap 60 and 49
  List after swap: [1, -84, 53, 49, 60, -38, 75, 77, 78]
  Compare 60 and -38
  Swap 60 and -38
  List after swap: [1, -84, 53, 49, -38, 60, 75, 77, 78]

Pass 5:
  Compare 1 and -84
  Swap 1 and -84
  List after swap: [-84, 1, 53, 49, -38, 60, 75, 77, 78]
  Compare 1 and 53
  No swap needed
  Compare 53 and 49
  Swap 53 and 49
  List after swap: [-84, 1, 49, 53, -38, 60, 75, 77, 78]
  Compare 53 and -38
  Swap 53 and -38
  List after swap: [-84, 1, 49, -38, 53, 60, 75, 77, 78]

Pass 6:
  Compare -84 and 1
  No swap needed
  Compare 1 and 49
  No swap needed
  Compare 49 and -38
  Swap 49 and -38
  List after swap: [-84, 1, -38, 49, 53, 60, 75, 77, 78]

Pass 7:
  Compare -84 and 1
  No swap needed
  Compare 1 and -38
  Swap 1 and -38
  List after swap: [-84, -38, 1, 49, 53, 60, 75, 77, 78]

Pass 8:
  Compare -84 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -38, 1, 49, 53, 60, 75, 77, 78]
</think>

<response>-84, -38, 1, 49, 53, 60, 75, 77, 78</response>


input: Carry out the bubble sort algorithm on -39, -66, 90, -59, 29, 45, 0, -64, -18, -74 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-39, -66, 90, -59, 29, 45, 0, -64, -18, -74]

Pass 1:
  Compare -39 and -66
  Swap -39 and -66
  List after swap: [-66, -39, 90, -59, 29, 45, 0, -64, -18, -74]
  Compare -39 and 90
  No swap needed
  Compare 90 and -59
  Swap 90 and -59
  List after swap: [-66, -39, -59, 90, 29, 45, 0, -64, -18, -74]
  Compare 90 and 29
  Swap 90 and 29
  List after swap: [-66, -39, -59, 29, 90, 45, 0, -64, -18, -74]
  Compare 90 and 45
  Swap 90 and 45
  List after swap: [-66, -39, -59, 29, 45, 90, 0, -64, -18, -74]
  Compare 90 and 0
  Swap 90 and 0
  List after swap: [-66, -39, -59, 29, 45, 0, 90, -64, -18, -74]
  Compare 90 and -64
  Swap 90 and -64
  List after swap: [-66, -39, -59, 29, 45, 0, -64, 90, -18, -74]
  Compare 90 and -18
  Swap 90 and -18
  List after swap: [-66, -39, -59, 29, 45, 0, -64, -18, 90, -74]
  Compare 90 and -74
  Swap 90 and -74
  List after swap: [-66, -39, -59, 29, 45, 0, -64, -18, -74, 90]

Pass 2:
  Compare -66 and -39
  No swap needed
  Compare -39 and -59
  Swap -39 and -59
  List after swap: [-66, -59, -39, 29, 45, 0, -64, -18, -74, 90]
  Compare -39 and 29
  No swap needed
  Compare 29 and 45
  No swap needed
  Compare 45 and 0
  Swap 45 and 0
  List after swap: [-66, -59, -39, 29, 0, 45, -64, -18, -74, 90]
  Compare 45 and -64
  Swap 45 and -64
  List after swap: [-66, -59, -39, 29, 0, -64, 45, -18, -74, 90]
  Compare 45 and -18
  Swap 45 and -18
  List after swap: [-66, -59, -39, 29, 0, -64, -18, 45, -74, 90]
  Compare 45 and -74
  Swap 45 and -74
  List after swap: [-66, -59, -39, 29, 0, -64, -18, -74, 45, 90]

Pass 3:
  Compare -66 and -59
  No swap needed
  Compare -59 and -39
  No swap needed
  Compare -39 and 29
  No swap needed
  Compare 29 and 0
  Swap 29 and 0
  List after swap: [-66, -59, -39, 0, 29, -64, -18, -74, 45, 90]
  Compare 29 and -64
  Swap 29 and -64
  List after swap: [-66, -59, -39, 0, -64, 29, -18, -74, 45, 90]
  Compare 29 and -18
  Swap 29 and -18
  List after swap: [-66, -59, -39, 0, -64, -18, 29, -74, 45, 90]
  Compare 29 and -74
  Swap 29 and -74
  List after swap: [-66, -59, -39, 0, -64, -18, -74, 29, 45, 90]

Pass 4:
  Compare -66 and -59
  No swap needed
  Compare -59 and -39
  No swap needed
  Compare -39 and 0
  No swap needed
  Compare 0 and -64
  Swap 0 and -64
  List after swap: [-66, -59, -39, -64, 0, -18, -74, 29, 45, 90]
  Compare 0 and -18
  Swap 0 and -18
  List after swap: [-66, -59, -39, -64, -18, 0, -74, 29, 45, 90]
  Compare 0 and -74
  Swap 0 and -74
  List after swap: [-66, -59, -39, -64, -18, -74, 0, 29, 45, 90]

Pass 5:
  Compare -66 and -59
  No swap needed
  Compare -59 and -39
  No swap needed
  Compare -39 and -64
  Swap -39 and -64
  List after swap: [-66, -59, -64, -39, -18, -74, 0, 29, 45, 90]
  Compare -39 and -18
  No swap needed
  Compare -18 and -74
  Swap -18 and -74
  List after swap: [-66, -59, -64, -39, -74, -18, 0, 29, 45, 90]

Pass 6:
  Compare -66 and -59
  No swap needed
  Compare -59 and -64
  Swap -59 and -64
  List after swap: [-66, -64, -59, -39, -74, -18, 0, 29, 45, 90]
  Compare -59 and -39
  No swap needed
  Compare -39 and -74
  Swap -39 and -74
  List after swap: [-66, -64, -59, -74, -39, -18, 0, 29, 45, 90]

Pass 7:
  Compare -66 and -64
  No swap needed
  Compare -64 and -59
  No swap needed
  Compare -59 and -74
  Swap -59 and -74
  List after swap: [-66, -64, -74, -59, -39, -18, 0, 29, 45, 90]

Pass 8:
  Compare -66 and -64
  No swap needed
  Compare -64 and -74
  Swap -64 and -74
  List after swap: [-66, -74, -64, -59, -39, -18, 0, 29, 45, 90]

Pass 9:
  Compare -66 and -74
  Swap -66 and -74
  List after swap: [-74, -66, -64, -59, -39, -18, 0, 29, 45, 90]

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

Final sorted list: [-74, -66, -64, -59, -39, -18, 0, 29, 45, 90]
</think>

<response>-74, -66, -64, -59, -39, -18, 0, 29, 45, 90</response>


input: Sort these integers 99, -15 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [99, -15]

Pass 1:
  Compare 99 and -15
  Swap 99 and -15
  List after swap: [-15, 99]

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

Final sorted list: [-15, 99]
</think>

<response>-15, 99</response>


input: Implement bubble sort on -16, 48, 77, 82, -79 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-16, 48, 77, 82, -79]

Pass 1:
  Compare -16 and 48
  No swap needed
  Compare 48 and 77
  No swap needed
  Compare 77 and 82
  No swap needed
  Compare 82 and -79
  Swap 82 and -79
  List after swap: [-16, 48, 77, -79, 82]

Pass 2:
  Compare -16 and 48
  No swap needed
  Compare 48 and 77
  No swap needed
  Compare 77 and -79
  Swap 77 and -79
  List after swap: [-16, 48, -79, 77, 82]

Pass 3:
  Compare -16 and 48
  No swap needed
  Compare 48 and -79
  Swap 48 and -79
  List after swap: [-16, -79, 48, 77, 82]

Pass 4:
  Compare -16 and -79
  Swap -16 and -79
  List after swap: [-79, -16, 48, 77, 82]

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

Final sorted list: [-79, -16, 48, 77, 82]
</think>

<response>-79, -16, 48, 77, 82</response>


input: Sort these integers 48, 15, -71, -60, -93, -84, 78, -20, -17 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [48, 15, -71, -60, -93, -84, 78, -20, -17]

Pass 1:
  Compare 48 and 15
  Swap 48 and 15
  List after swap: [15, 48, -71, -60, -93, -84, 78, -20, -17]
  Compare 48 and -71
  Swap 48 and -71
  List after swap: [15, -71, 48, -60, -93, -84, 78, -20, -17]
  Compare 48 and -60
  Swap 48 and -60
  List after swap: [15, -71, -60, 48, -93, -84, 78, -20, -17]
  Compare 48 and -93
  Swap 48 and -93
  List after swap: [15, -71, -60, -93, 48, -84, 78, -20, -17]
  Compare 48 and -84
  Swap 48 and -84
  List after swap: [15, -71, -60, -93, -84, 48, 78, -20, -17]
  Compare 48 and 78
  No swap needed
  Compare 78 and -20
  Swap 78 and -20
  List after swap: [15, -71, -60, -93, -84, 48, -20, 78, -17]
  Compare 78 and -17
  Swap 78 and -17
  List after swap: [15, -71, -60, -93, -84, 48, -20, -17, 78]

Pass 2:
  Compare 15 and -71
  Swap 15 and -71
  List after swap: [-71, 15, -60, -93, -84, 48, -20, -17, 78]
  Compare 15 and -60
  Swap 15 and -60
  List after swap: [-71, -60, 15, -93, -84, 48, -20, -17, 78]
  Compare 15 and -93
  Swap 15 and -93
  List after swap: [-71, -60, -93, 15, -84, 48, -20, -17, 78]
  Compare 15 and -84
  Swap 15 and -84
  List after swap: [-71, -60, -93, -84, 15, 48, -20, -17, 78]
  Compare 15 and 48
  No swap needed
  Compare 48 and -20
  Swap 48 and -20
  List after swap: [-71, -60, -93, -84, 15, -20, 48, -17, 78]
  Compare 48 and -17
  Swap 48 and -17
  List after swap: [-71, -60, -93, -84, 15, -20, -17, 48, 78]

Pass 3:
  Compare -71 and -60
  No swap needed
  Compare -60 and -93
  Swap -60 and -93
  List after swap: [-71, -93, -60, -84, 15, -20, -17, 48, 78]
  Compare -60 and -84
  Swap -60 and -84
  List after swap: [-71, -93, -84, -60, 15, -20, -17, 48, 78]
  Compare -60 and 15
  No swap needed
  Compare 15 and -20
  Swap 15 and -20
  List after swap: [-71, -93, -84, -60, -20, 15, -17, 48, 78]
  Compare 15 and -17
  Swap 15 and -17
  List after swap: [-71, -93, -84, -60, -20, -17, 15, 48, 78]

Pass 4:
  Compare -71 and -93
  Swap -71 and -93
  List after swap: [-93, -71, -84, -60, -20, -17, 15, 48, 78]
  Compare -71 and -84
  Swap -71 and -84
  List after swap: [-93, -84, -71, -60, -20, -17, 15, 48, 78]
  Compare -71 and -60
  No swap needed
  Compare -60 and -20
  No swap needed
  Compare -20 and -17
  No swap needed

Pass 5:
  Compare -93 and -84
  No swap needed
  Compare -84 and -71
  No swap needed
  Compare -71 and -60
  No swap needed
  Compare -60 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -84, -71, -60, -20, -17, 15, 48, 78]
</think>

<response>-93, -84, -71, -60, -20, -17, 15, 48, 78</response>


input: Using the bubble sort method, sort 56, -21, 96, -8, 71, 23, 60, 51, -87 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [56, -21, 96, -8, 71, 23, 60, 51, -87]

Pass 1:
  Compare 56 and -21
  Swap 56 and -21
  List after swap: [-21, 56, 96, -8, 71, 23, 60, 51, -87]
  Compare 56 and 96
  No swap needed
  Compare 96 and -8
  Swap 96 and -8
  List after swap: [-21, 56, -8, 96, 71, 23, 60, 51, -87]
  Compare 96 and 71
  Swap 96 and 71
  List after swap: [-21, 56, -8, 71, 96, 23, 60, 51, -87]
  Compare 96 and 23
  Swap 96 and 23
  List after swap: [-21, 56, -8, 71, 23, 96, 60, 51, -87]
  Compare 96 and 60
  Swap 96 and 60
  List after swap: [-21, 56, -8, 71, 23, 60, 96, 51, -87]
  Compare 96 and 51
  Swap 96 and 51
  List after swap: [-21, 56, -8, 71, 23, 60, 51, 96, -87]
  Compare 96 and -87
  Swap 96 and -87
  List after swap: [-21, 56, -8, 71, 23, 60, 51, -87, 96]

Pass 2:
  Compare -21 and 56
  No swap needed
  Compare 56 and -8
  Swap 56 and -8
  List after swap: [-21, -8, 56, 71, 23, 60, 51, -87, 96]
  Compare 56 and 71
  No swap needed
  Compare 71 and 23
  Swap 71 and 23
  List after swap: [-21, -8, 56, 23, 71, 60, 51, -87, 96]
  Compare 71 and 60
  Swap 71 and 60
  List after swap: [-21, -8, 56, 23, 60, 71, 51, -87, 96]
  Compare 71 and 51
  Swap 71 and 51
  List after swap: [-21, -8, 56, 23, 60, 51, 71, -87, 96]
  Compare 71 and -87
  Swap 71 and -87
  List after swap: [-21, -8, 56, 23, 60, 51, -87, 71, 96]

Pass 3:
  Compare -21 and -8
  No swap needed
  Compare -8 and 56
  No swap needed
  Compare 56 and 23
  Swap 56 and 23
  List after swap: [-21, -8, 23, 56, 60, 51, -87, 71, 96]
  Compare 56 and 60
  No swap needed
  Compare 60 and 51
  Swap 60 and 51
  List after swap: [-21, -8, 23, 56, 51, 60, -87, 71, 96]
  Compare 60 and -87
  Swap 60 and -87
  List after swap: [-21, -8, 23, 56, 51, -87, 60, 71, 96]

Pass 4:
  Compare -21 and -8
  No swap needed
  Compare -8 and 23
  No swap needed
  Compare 23 and 56
  No swap needed
  Compare 56 and 51
  Swap 56 and 51
  List after swap: [-21, -8, 23, 51, 56, -87, 60, 71, 96]
  Compare 56 and -87
  Swap 56 and -87
  List after swap: [-21, -8, 23, 51, -87, 56, 60, 71, 96]

Pass 5:
  Compare -21 and -8
  No swap needed
  Compare -8 and 23
  No swap needed
  Compare 23 and 51
  No swap needed
  Compare 51 and -87
  Swap 51 and -87
  List after swap: [-21, -8, 23, -87, 51, 56, 60, 71, 96]

Pass 6:
  Compare -21 and -8
  No swap needed
  Compare -8 and 23
  No swap needed
  Compare 23 and -87
  Swap 23 and -87
  List after swap: [-21, -8, -87, 23, 51, 56, 60, 71, 96]

Pass 7:
  Compare -21 and -8
  No swap needed
  Compare -8 and -87
  Swap -8 and -87
  List after swap: [-21, -87, -8, 23, 51, 56, 60, 71, 96]

Pass 8:
  Compare -21 and -87
  Swap -21 and -87
  List after swap: [-87, -21, -8, 23, 51, 56, 60, 71, 96]

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

Final sorted list: [-87, -21, -8, 23, 51, 56, 60, 71, 96]
</think>

<response>-87, -21, -8, 23, 51, 56, 60, 71, 96</response>


input: Arrange the numbers 76, -2, -3, -99, 9, 83, -86, 74, 61 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [76, -2, -3, -99, 9, 83, -86, 74, 61]

Pass 1:
  Compare 76 and -2
  Swap 76 and -2
  List after swap: [-2, 76, -3, -99, 9, 83, -86, 74, 61]
  Compare 76 and -3
  Swap 76 and -3
  List after swap: [-2, -3, 76, -99, 9, 83, -86, 74, 61]
  Compare 76 and -99
  Swap 76 and -99
  List after swap: [-2, -3, -99, 76, 9, 83, -86, 74, 61]
  Compare 76 and 9
  Swap 76 and 9
  List after swap: [-2, -3, -99, 9, 76, 83, -86, 74, 61]
  Compare 76 and 83
  No swap needed
  Compare 83 and -86
  Swap 83 and -86
  List after swap: [-2, -3, -99, 9, 76, -86, 83, 74, 61]
  Compare 83 and 74
  Swap 83 and 74
  List after swap: [-2, -3, -99, 9, 76, -86, 74, 83, 61]
  Compare 83 and 61
  Swap 83 and 61
  List after swap: [-2, -3, -99, 9, 76, -86, 74, 61, 83]

Pass 2:
  Compare -2 and -3
  Swap -2 and -3
  List after swap: [-3, -2, -99, 9, 76, -86, 74, 61, 83]
  Compare -2 and -99
  Swap -2 and -99
  List after swap: [-3, -99, -2, 9, 76, -86, 74, 61, 83]
  Compare -2 and 9
  No swap needed
  Compare 9 and 76
  No swap needed
  Compare 76 and -86
  Swap 76 and -86
  List after swap: [-3, -99, -2, 9, -86, 76, 74, 61, 83]
  Compare 76 and 74
  Swap 76 and 74
  List after swap: [-3, -99, -2, 9, -86, 74, 76, 61, 83]
  Compare 76 and 61
  Swap 76 and 61
  List after swap: [-3, -99, -2, 9, -86, 74, 61, 76, 83]

Pass 3:
  Compare -3 and -99
  Swap -3 and -99
  List after swap: [-99, -3, -2, 9, -86, 74, 61, 76, 83]
  Compare -3 and -2
  No swap needed
  Compare -2 and 9
  No swap needed
  Compare 9 and -86
  Swap 9 and -86
  List after swap: [-99, -3, -2, -86, 9, 74, 61, 76, 83]
  Compare 9 and 74
  No swap needed
  Compare 74 and 61
  Swap 74 and 61
  List after swap: [-99, -3, -2, -86, 9, 61, 74, 76, 83]

Pass 4:
  Compare -99 and -3
  No swap needed
  Compare -3 and -2
  No swap needed
  Compare -2 and -86
  Swap -2 and -86
  List after swap: [-99, -3, -86, -2, 9, 61, 74, 76, 83]
  Compare -2 and 9
  No swap needed
  Compare 9 and 61
  No swap needed

Pass 5:
  Compare -99 and -3
  No swap needed
  Compare -3 and -86
  Swap -3 and -86
  List after swap: [-99, -86, -3, -2, 9, 61, 74, 76, 83]
  Compare -3 and -2
  No swap needed
  Compare -2 and 9
  No swap needed

Pass 6:
  Compare -99 and -86
  No swap needed
  Compare -86 and -3
  No swap needed
  Compare -3 and -2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -86, -3, -2, 9, 61, 74, 76, 83]
</think>

<response>-99, -86, -3, -2, 9, 61, 74, 76, 83</response>


input: Using the bubble sort method, sort 33, 80 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [33, 80]

Pass 1:
  Compare 33 and 80
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [33, 80]
</think>

<response>33, 80</response>


input: Demonstrate how bubble sort orders the integers -9, 78, -79 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-9, 78, -79]

Pass 1:
  Compare -9 and 78
  No swap needed
  Compare 78 and -79
  Swap 78 and -79
  List after swap: [-9, -79, 78]

Pass 2:
  Compare -9 and -79
  Swap -9 and -79
  List after swap: [-79, -9, 78]

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

Final sorted list: [-79, -9, 78]
</think>

<response>-79, -9, 78</response>


input: Use the bubble sort technique to reorder 3, 93, -10, 89, -47 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [3, 93, -10, 89, -47]

Pass 1:
  Compare 3 and 93
  No swap needed
  Compare 93 and -10
  Swap 93 and -10
  List after swap: [3, -10, 93, 89, -47]
  Compare 93 and 89
  Swap 93 and 89
  List after swap: [3, -10, 89, 93, -47]
  Compare 93 and -47
  Swap 93 and -47
  List after swap: [3, -10, 89, -47, 93]

Pass 2:
  Compare 3 and -10
  Swap 3 and -10
  List after swap: [-10, 3, 89, -47, 93]
  Compare 3 and 89
  No swap needed
  Compare 89 and -47
  Swap 89 and -47
  List after swap: [-10, 3, -47, 89, 93]

Pass 3:
  Compare -10 and 3
  No swap needed
  Compare 3 and -47
  Swap 3 and -47
  List after swap: [-10, -47, 3, 89, 93]

Pass 4:
  Compare -10 and -47
  Swap -10 and -47
  List after swap: [-47, -10, 3, 89, 93]

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

Final sorted list: [-47, -10, 3, 89, 93]
</think>

<response>-47, -10, 3, 89, 93</response>


input: Demonstrate how bubble sort orders the integers -45, 62, 91, 31, -98, 99, -54, -83, -28, -18 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-45, 62, 91, 31, -98, 99, -54, -83, -28, -18]

Pass 1:
  Compare -45 and 62
  No swap needed
  Compare 62 and 91
  No swap needed
  Compare 91 and 31
  Swap 91 and 31
  List after swap: [-45, 62, 31, 91, -98, 99, -54, -83, -28, -18]
  Compare 91 and -98
  Swap 91 and -98
  List after swap: [-45, 62, 31, -98, 91, 99, -54, -83, -28, -18]
  Compare 91 and 99
  No swap needed
  Compare 99 and -54
  Swap 99 and -54
  List after swap: [-45, 62, 31, -98, 91, -54, 99, -83, -28, -18]
  Compare 99 and -83
  Swap 99 and -83
  List after swap: [-45, 62, 31, -98, 91, -54, -83, 99, -28, -18]
  Compare 99 and -28
  Swap 99 and -28
  List after swap: [-45, 62, 31, -98, 91, -54, -83, -28, 99, -18]
  Compare 99 and -18
  Swap 99 and -18
  List after swap: [-45, 62, 31, -98, 91, -54, -83, -28, -18, 99]

Pass 2:
  Compare -45 and 62
  No swap needed
  Compare 62 and 31
  Swap 62 and 31
  List after swap: [-45, 31, 62, -98, 91, -54, -83, -28, -18, 99]
  Compare 62 and -98
  Swap 62 and -98
  List after swap: [-45, 31, -98, 62, 91, -54, -83, -28, -18, 99]
  Compare 62 and 91
  No swap needed
  Compare 91 and -54
  Swap 91 and -54
  List after swap: [-45, 31, -98, 62, -54, 91, -83, -28, -18, 99]
  Compare 91 and -83
  Swap 91 and -83
  List after swap: [-45, 31, -98, 62, -54, -83, 91, -28, -18, 99]
  Compare 91 and -28
  Swap 91 and -28
  List after swap: [-45, 31, -98, 62, -54, -83, -28, 91, -18, 99]
  Compare 91 and -18
  Swap 91 and -18
  List after swap: [-45, 31, -98, 62, -54, -83, -28, -18, 91, 99]

Pass 3:
  Compare -45 and 31
  No swap needed
  Compare 31 and -98
  Swap 31 and -98
  List after swap: [-45, -98, 31, 62, -54, -83, -28, -18, 91, 99]
  Compare 31 and 62
  No swap needed
  Compare 62 and -54
  Swap 62 and -54
  List after swap: [-45, -98, 31, -54, 62, -83, -28, -18, 91, 99]
  Compare 62 and -83
  Swap 62 and -83
  List after swap: [-45, -98, 31, -54, -83, 62, -28, -18, 91, 99]
  Compare 62 and -28
  Swap 62 and -28
  List after swap: [-45, -98, 31, -54, -83, -28, 62, -18, 91, 99]
  Compare 62 and -18
  Swap 62 and -18
  List after swap: [-45, -98, 31, -54, -83, -28, -18, 62, 91, 99]

Pass 4:
  Compare -45 and -98
  Swap -45 and -98
  List after swap: [-98, -45, 31, -54, -83, -28, -18, 62, 91, 99]
  Compare -45 and 31
  No swap needed
  Compare 31 and -54
  Swap 31 and -54
  List after swap: [-98, -45, -54, 31, -83, -28, -18, 62, 91, 99]
  Compare 31 and -83
  Swap 31 and -83
  List after swap: [-98, -45, -54, -83, 31, -28, -18, 62, 91, 99]
  Compare 31 and -28
  Swap 31 and -28
  List after swap: [-98, -45, -54, -83, -28, 31, -18, 62, 91, 99]
  Compare 31 and -18
  Swap 31 and -18
  List after swap: [-98, -45, -54, -83, -28, -18, 31, 62, 91, 99]

Pass 5:
  Compare -98 and -45
  No swap needed
  Compare -45 and -54
  Swap -45 and -54
  List after swap: [-98, -54, -45, -83, -28, -18, 31, 62, 91, 99]
  Compare -45 and -83
  Swap -45 and -83
  List after swap: [-98, -54, -83, -45, -28, -18, 31, 62, 91, 99]
  Compare -45 and -28
  No swap needed
  Compare -28 and -18
  No swap needed

Pass 6:
  Compare -98 and -54
  No swap needed
  Compare -54 and -83
  Swap -54 and -83
  List after swap: [-98, -83, -54, -45, -28, -18, 31, 62, 91, 99]
  Compare -54 and -45
  No swap needed
  Compare -45 and -28
  No swap needed

Pass 7:
  Compare -98 and -83
  No swap needed
  Compare -83 and -54
  No swap needed
  Compare -54 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -83, -54, -45, -28, -18, 31, 62, 91, 99]
</think>

<response>-98, -83, -54, -45, -28, -18, 31, 62, 91, 99</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 83, 46, -4, 55, 22, 19, -76, 43, -88.

output:
<think>
Initial list: [83, 46, -4, 55, 22, 19, -76, 43, -88]

Pass 1:
  Compare 83 and 46
  Swap 83 and 46
  List after swap: [46, 83, -4, 55, 22, 19, -76, 43, -88]
  Compare 83 and -4
  Swap 83 and -4
  List after swap: [46, -4, 83, 55, 22, 19, -76, 43, -88]
  Compare 83 and 55
  Swap 83 and 55
  List after swap: [46, -4, 55, 83, 22, 19, -76, 43, -88]
  Compare 83 and 22
  Swap 83 and 22
  List after swap: [46, -4, 55, 22, 83, 19, -76, 43, -88]
  Compare 83 and 19
  Swap 83 and 19
  List after swap: [46, -4, 55, 22, 19, 83, -76, 43, -88]
  Compare 83 and -76
  Swap 83 and -76
  List after swap: [46, -4, 55, 22, 19, -76, 83, 43, -88]
  Compare 83 and 43
  Swap 83 and 43
  List after swap: [46, -4, 55, 22, 19, -76, 43, 83, -88]
  Compare 83 and -88
  Swap 83 and -88
  List after swap: [46, -4, 55, 22, 19, -76, 43, -88, 83]

Pass 2:
  Compare 46 and -4
  Swap 46 and -4
  List after swap: [-4, 46, 55, 22, 19, -76, 43, -88, 83]
  Compare 46 and 55
  No swap needed
  Compare 55 and 22
  Swap 55 and 22
  List after swap: [-4, 46, 22, 55, 19, -76, 43, -88, 83]
  Compare 55 and 19
  Swap 55 and 19
  List after swap: [-4, 46, 22, 19, 55, -76, 43, -88, 83]
  Compare 55 and -76
  Swap 55 and -76
  List after swap: [-4, 46, 22, 19, -76, 55, 43, -88, 83]
  Compare 55 and 43
  Swap 55 and 43
  List after swap: [-4, 46, 22, 19, -76, 43, 55, -88, 83]
  Compare 55 and -88
  Swap 55 and -88
  List after swap: [-4, 46, 22, 19, -76, 43, -88, 55, 83]

Pass 3:
  Compare -4 and 46
  No swap needed
  Compare 46 and 22
  Swap 46 and 22
  List after swap: [-4, 22, 46, 19, -76, 43, -88, 55, 83]
  Compare 46 and 19
  Swap 46 and 19
  List after swap: [-4, 22, 19, 46, -76, 43, -88, 55, 83]
  Compare 46 and -76
  Swap 46 and -76
  List after swap: [-4, 22, 19, -76, 46, 43, -88, 55, 83]
  Compare 46 and 43
  Swap 46 and 43
  List after swap: [-4, 22, 19, -76, 43, 46, -88, 55, 83]
  Compare 46 and -88
  Swap 46 and -88
  List after swap: [-4, 22, 19, -76, 43, -88, 46, 55, 83]

Pass 4:
  Compare -4 and 22
  No swap needed
  Compare 22 and 19
  Swap 22 and 19
  List after swap: [-4, 19, 22, -76, 43, -88, 46, 55, 83]
  Compare 22 and -76
  Swap 22 and -76
  List after swap: [-4, 19, -76, 22, 43, -88, 46, 55, 83]
  Compare 22 and 43
  No swap needed
  Compare 43 and -88
  Swap 43 and -88
  List after swap: [-4, 19, -76, 22, -88, 43, 46, 55, 83]

Pass 5:
  Compare -4 and 19
  No swap needed
  Compare 19 and -76
  Swap 19 and -76
  List after swap: [-4, -76, 19, 22, -88, 43, 46, 55, 83]
  Compare 19 and 22
  No swap needed
  Compare 22 and -88
  Swap 22 and -88
  List after swap: [-4, -76, 19, -88, 22, 43, 46, 55, 83]

Pass 6:
  Compare -4 and -76
  Swap -4 and -76
  List after swap: [-76, -4, 19, -88, 22, 43, 46, 55, 83]
  Compare -4 and 19
  No swap needed
  Compare 19 and -88
  Swap 19 and -88
  List after swap: [-76, -4, -88, 19, 22, 43, 46, 55, 83]

Pass 7:
  Compare -76 and -4
  No swap needed
  Compare -4 and -88
  Swap -4 and -88
  List after swap: [-76, -88, -4, 19, 22, 43, 46, 55, 83]

Pass 8:
  Compare -76 and -88
  Swap -76 and -88
  List after swap: [-88, -76, -4, 19, 22, 43, 46, 55, 83]

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

Final sorted list: [-88, -76, -4, 19, 22, 43, 46, 55, 83]
</think>

<response>-88, -76, -4, 19, 22, 43, 46, 55, 83</response>


input: Carry out the bubble sort algorithm on -89, -7 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-89, -7]

Pass 1:
  Compare -89 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -7]
</think>

<response>-89, -7</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -25, 28, 56.

output:
<think>
Initial list: [-25, 28, 56]

Pass 1:
  Compare -25 and 28
  No swap needed
  Compare 28 and 56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-25, 28, 56]
</think>

<response>-25, 28, 56</response>


input: Arrange the numbers -84, -26, 7, 96, -2, 48, -52 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-84, -26, 7, 96, -2, 48, -52]

Pass 1:
  Compare -84 and -26
  No swap needed
  Compare -26 and 7
  No swap needed
  Compare 7 and 96
  No swap needed
  Compare 96 and -2
  Swap 96 and -2
  List after swap: [-84, -26, 7, -2, 96, 48, -52]
  Compare 96 and 48
  Swap 96 and 48
  List after swap: [-84, -26, 7, -2, 48, 96, -52]
  Compare 96 and -52
  Swap 96 and -52
  List after swap: [-84, -26, 7, -2, 48, -52, 96]

Pass 2:
  Compare -84 and -26
  No swap needed
  Compare -26 and 7
  No swap needed
  Compare 7 and -2
  Swap 7 and -2
  List after swap: [-84, -26, -2, 7, 48, -52, 96]
  Compare 7 and 48
  No swap needed
  Compare 48 and -52
  Swap 48 and -52
  List after swap: [-84, -26, -2, 7, -52, 48, 96]

Pass 3:
  Compare -84 and -26
  No swap needed
  Compare -26 and -2
  No swap needed
  Compare -2 and 7
  No swap needed
  Compare 7 and -52
  Swap 7 and -52
  List after swap: [-84, -26, -2, -52, 7, 48, 96]

Pass 4:
  Compare -84 and -26
  No swap needed
  Compare -26 and -2
  No swap needed
  Compare -2 and -52
  Swap -2 and -52
  List after swap: [-84, -26, -52, -2, 7, 48, 96]

Pass 5:
  Compare -84 and -26
  No swap needed
  Compare -26 and -52
  Swap -26 and -52
  List after swap: [-84, -52, -26, -2, 7, 48, 96]

Pass 6:
  Compare -84 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -52, -26, -2, 7, 48, 96]
</think>

<response>-84, -52, -26, -2, 7, 48, 96</response>


input: Sort the list -18, 35, 4, 65, 96, -62 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-18, 35, 4, 65, 96, -62]

Pass 1:
  Compare -18 and 35
  No swap needed
  Compare 35 and 4
  Swap 35 and 4
  List after swap: [-18, 4, 35, 65, 96, -62]
  Compare 35 and 65
  No swap needed
  Compare 65 and 96
  No swap needed
  Compare 96 and -62
  Swap 96 and -62
  List after swap: [-18, 4, 35, 65, -62, 96]

Pass 2:
  Compare -18 and 4
  No swap needed
  Compare 4 and 35
  No swap needed
  Compare 35 and 65
  No swap needed
  Compare 65 and -62
  Swap 65 and -62
  List after swap: [-18, 4, 35, -62, 65, 96]

Pass 3:
  Compare -18 and 4
  No swap needed
  Compare 4 and 35
  No swap needed
  Compare 35 and -62
  Swap 35 and -62
  List after swap: [-18, 4, -62, 35, 65, 96]

Pass 4:
  Compare -18 and 4
  No swap needed
  Compare 4 and -62
  Swap 4 and -62
  List after swap: [-18, -62, 4, 35, 65, 96]

Pass 5:
  Compare -18 and -62
  Swap -18 and -62
  List after swap: [-62, -18, 4, 35, 65, 96]

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

Final sorted list: [-62, -18, 4, 35, 65, 96]
</think>

<response>-62, -18, 4, 35, 65, 96</response>


input: Demonstrate how bubble sort orders the integers 92, -2, -32, -94, -19, -59, -79, 68 in ascending sequence, showing all steps.

output:
<think>
Initial list: [92, -2, -32, -94, -19, -59, -79, 68]

Pass 1:
  Compare 92 and -2
  Swap 92 and -2
  List after swap: [-2, 92, -32, -94, -19, -59, -79, 68]
  Compare 92 and -32
  Swap 92 and -32
  List after swap: [-2, -32, 92, -94, -19, -59, -79, 68]
  Compare 92 and -94
  Swap 92 and -94
  List after swap: [-2, -32, -94, 92, -19, -59, -79, 68]
  Compare 92 and -19
  Swap 92 and -19
  List after swap: [-2, -32, -94, -19, 92, -59, -79, 68]
  Compare 92 and -59
  Swap 92 and -59
  List after swap: [-2, -32, -94, -19, -59, 92, -79, 68]
  Compare 92 and -79
  Swap 92 and -79
  List after swap: [-2, -32, -94, -19, -59, -79, 92, 68]
  Compare 92 and 68
  Swap 92 and 68
  List after swap: [-2, -32, -94, -19, -59, -79, 68, 92]

Pass 2:
  Compare -2 and -32
  Swap -2 and -32
  List after swap: [-32, -2, -94, -19, -59, -79, 68, 92]
  Compare -2 and -94
  Swap -2 and -94
  List after swap: [-32, -94, -2, -19, -59, -79, 68, 92]
  Compare -2 and -19
  Swap -2 and -19
  List after swap: [-32, -94, -19, -2, -59, -79, 68, 92]
  Compare -2 and -59
  Swap -2 and -59
  List after swap: [-32, -94, -19, -59, -2, -79, 68, 92]
  Compare -2 and -79
  Swap -2 and -79
  List after swap: [-32, -94, -19, -59, -79, -2, 68, 92]
  Compare -2 and 68
  No swap needed

Pass 3:
  Compare -32 and -94
  Swap -32 and -94
  List after swap: [-94, -32, -19, -59, -79, -2, 68, 92]
  Compare -32 and -19
  No swap needed
  Compare -19 and -59
  Swap -19 and -59
  List after swap: [-94, -32, -59, -19, -79, -2, 68, 92]
  Compare -19 and -79
  Swap -19 and -79
  List after swap: [-94, -32, -59, -79, -19, -2, 68, 92]
  Compare -19 and -2
  No swap needed

Pass 4:
  Compare -94 and -32
  No swap needed
  Compare -32 and -59
  Swap -32 and -59
  List after swap: [-94, -59, -32, -79, -19, -2, 68, 92]
  Compare -32 and -79
  Swap -32 and -79
  List after swap: [-94, -59, -79, -32, -19, -2, 68, 92]
  Compare -32 and -19
  No swap needed

Pass 5:
  Compare -94 and -59
  No swap needed
  Compare -59 and -79
  Swap -59 and -79
  List after swap: [-94, -79, -59, -32, -19, -2, 68, 92]
  Compare -59 and -32
  No swap needed

Pass 6:
  Compare -94 and -79
  No swap needed
  Compare -79 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -79, -59, -32, -19, -2, 68, 92]
</think>

<response>-94, -79, -59, -32, -19, -2, 68, 92</response>


input: Carry out the bubble sort algorithm on 23, -26, 30, -63, -81, -6, 9 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [23, -26, 30, -63, -81, -6, 9]

Pass 1:
  Compare 23 and -26
  Swap 23 and -26
  List after swap: [-26, 23, 30, -63, -81, -6, 9]
  Compare 23 and 30
  No swap needed
  Compare 30 and -63
  Swap 30 and -63
  List after swap: [-26, 23, -63, 30, -81, -6, 9]
  Compare 30 and -81
  Swap 30 and -81
  List after swap: [-26, 23, -63, -81, 30, -6, 9]
  Compare 30 and -6
  Swap 30 and -6
  List after swap: [-26, 23, -63, -81, -6, 30, 9]
  Compare 30 and 9
  Swap 30 and 9
  List after swap: [-26, 23, -63, -81, -6, 9, 30]

Pass 2:
  Compare -26 and 23
  No swap needed
  Compare 23 and -63
  Swap 23 and -63
  List after swap: [-26, -63, 23, -81, -6, 9, 30]
  Compare 23 and -81
  Swap 23 and -81
  List after swap: [-26, -63, -81, 23, -6, 9, 30]
  Compare 23 and -6
  Swap 23 and -6
  List after swap: [-26, -63, -81, -6, 23, 9, 30]
  Compare 23 and 9
  Swap 23 and 9
  List after swap: [-26, -63, -81, -6, 9, 23, 30]

Pass 3:
  Compare -26 and -63
  Swap -26 and -63
  List after swap: [-63, -26, -81, -6, 9, 23, 30]
  Compare -26 and -81
  Swap -26 and -81
  List after swap: [-63, -81, -26, -6, 9, 23, 30]
  Compare -26 and -6
  No swap needed
  Compare -6 and 9
  No swap needed

Pass 4:
  Compare -63 and -81
  Swap -63 and -81
  List after swap: [-81, -63, -26, -6, 9, 23, 30]
  Compare -63 and -26
  No swap needed
  Compare -26 and -6
  No swap needed

Pass 5:
  Compare -81 and -63
  No swap needed
  Compare -63 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -63, -26, -6, 9, 23, 30]
</think>

<response>-81, -63, -26, -6, 9, 23, 30</response>


input: Use the bubble sort technique to reorder -78, 16 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-78, 16]

Pass 1:
  Compare -78 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, 16]
</think>

<response>-78, 16</response>


input: Carry out the bubble sort algorithm on -31, 54, 42, -96, 51, -40 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-31, 54, 42, -96, 51, -40]

Pass 1:
  Compare -31 and 54
  No swap needed
  Compare 54 and 42
  Swap 54 and 42
  List after swap: [-31, 42, 54, -96, 51, -40]
  Compare 54 and -96
  Swap 54 and -96
  List after swap: [-31, 42, -96, 54, 51, -40]
  Compare 54 and 51
  Swap 54 and 51
  List after swap: [-31, 42, -96, 51, 54, -40]
  Compare 54 and -40
  Swap 54 and -40
  List after swap: [-31, 42, -96, 51, -40, 54]

Pass 2:
  Compare -31 and 42
  No swap needed
  Compare 42 and -96
  Swap 42 and -96
  List after swap: [-31, -96, 42, 51, -40, 54]
  Compare 42 and 51
  No swap needed
  Compare 51 and -40
  Swap 51 and -40
  List after swap: [-31, -96, 42, -40, 51, 54]

Pass 3:
  Compare -31 and -96
  Swap -31 and -96
  List after swap: [-96, -31, 42, -40, 51, 54]
  Compare -31 and 42
  No swap needed
  Compare 42 and -40
  Swap 42 and -40
  List after swap: [-96, -31, -40, 42, 51, 54]

Pass 4:
  Compare -96 and -31
  No swap needed
  Compare -31 and -40
  Swap -31 and -40
  List after swap: [-96, -40, -31, 42, 51, 54]

Pass 5:
  Compare -96 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -40, -31, 42, 51, 54]
</think>

<response>-96, -40, -31, 42, 51, 54</response>


input: Demonstrate how bubble sort orders the integers -17, -99, -70, -23, 91, 77, 65 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-17, -99, -70, -23, 91, 77, 65]

Pass 1:
  Compare -17 and -99
  Swap -17 and -99
  List after swap: [-99, -17, -70, -23, 91, 77, 65]
  Compare -17 and -70
  Swap -17 and -70
  List after swap: [-99, -70, -17, -23, 91, 77, 65]
  Compare -17 and -23
  Swap -17 and -23
  List after swap: [-99, -70, -23, -17, 91, 77, 65]
  Compare -17 and 91
  No swap needed
  Compare 91 and 77
  Swap 91 and 77
  List after swap: [-99, -70, -23, -17, 77, 91, 65]
  Compare 91 and 65
  Swap 91 and 65
  List after swap: [-99, -70, -23, -17, 77, 65, 91]

Pass 2:
  Compare -99 and -70
  No swap needed
  Compare -70 and -23
  No swap needed
  Compare -23 and -17
  No swap needed
  Compare -17 and 77
  No swap needed
  Compare 77 and 65
  Swap 77 and 65
  List after swap: [-99, -70, -23, -17, 65, 77, 91]

Pass 3:
  Compare -99 and -70
  No swap needed
  Compare -70 and -23
  No swap needed
  Compare -23 and -17
  No swap needed
  Compare -17 and 65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -70, -23, -17, 65, 77, 91]
</think>

<response>-99, -70, -23, -17, 65, 77, 91</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 70, -39, 77.

output:
<think>
Initial list: [70, -39, 77]

Pass 1:
  Compare 70 and -39
  Swap 70 and -39
  List after swap: [-39, 70, 77]
  Compare 70 and 77
  No swap needed

Pass 2:
  Compare -39 and 70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-39, 70, 77]
</think>

<response>-39, 70, 77</response>


input: Sort the list -42, 65, -9, 92 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-42, 65, -9, 92]

Pass 1:
  Compare -42 and 65
  No swap needed
  Compare 65 and -9
  Swap 65 and -9
  List after swap: [-42, -9, 65, 92]
  Compare 65 and 92
  No swap needed

Pass 2:
  Compare -42 and -9
  No swap needed
  Compare -9 and 65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-42, -9, 65, 92]
</think>

<response>-42, -9, 65, 92</response>


input: Using the bubble sort method, sort -61, 23, -59, -26, -74, 24 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-61, 23, -59, -26, -74, 24]

Pass 1:
  Compare -61 and 23
  No swap needed
  Compare 23 and -59
  Swap 23 and -59
  List after swap: [-61, -59, 23, -26, -74, 24]
  Compare 23 and -26
  Swap 23 and -26
  List after swap: [-61, -59, -26, 23, -74, 24]
  Compare 23 and -74
  Swap 23 and -74
  List after swap: [-61, -59, -26, -74, 23, 24]
  Compare 23 and 24
  No swap needed

Pass 2:
  Compare -61 and -59
  No swap needed
  Compare -59 and -26
  No swap needed
  Compare -26 and -74
  Swap -26 and -74
  List after swap: [-61, -59, -74, -26, 23, 24]
  Compare -26 and 23
  No swap needed

Pass 3:
  Compare -61 and -59
  No swap needed
  Compare -59 and -74
  Swap -59 and -74
  List after swap: [-61, -74, -59, -26, 23, 24]
  Compare -59 and -26
  No swap needed

Pass 4:
  Compare -61 and -74
  Swap -61 and -74
  List after swap: [-74, -61, -59, -26, 23, 24]
  Compare -61 and -59
  No swap needed

Pass 5:
  Compare -74 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -61, -59, -26, 23, 24]
</think>

<response>-74, -61, -59, -26, 23, 24</response>


input: Implement bubble sort on 73, 32, 40, -68, -12, -29, 35 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [73, 32, 40, -68, -12, -29, 35]

Pass 1:
  Compare 73 and 32
  Swap 73 and 32
  List after swap: [32, 73, 40, -68, -12, -29, 35]
  Compare 73 and 40
  Swap 73 and 40
  List after swap: [32, 40, 73, -68, -12, -29, 35]
  Compare 73 and -68
  Swap 73 and -68
  List after swap: [32, 40, -68, 73, -12, -29, 35]
  Compare 73 and -12
  Swap 73 and -12
  List after swap: [32, 40, -68, -12, 73, -29, 35]
  Compare 73 and -29
  Swap 73 and -29
  List after swap: [32, 40, -68, -12, -29, 73, 35]
  Compare 73 and 35
  Swap 73 and 35
  List after swap: [32, 40, -68, -12, -29, 35, 73]

Pass 2:
  Compare 32 and 40
  No swap needed
  Compare 40 and -68
  Swap 40 and -68
  List after swap: [32, -68, 40, -12, -29, 35, 73]
  Compare 40 and -12
  Swap 40 and -12
  List after swap: [32, -68, -12, 40, -29, 35, 73]
  Compare 40 and -29
  Swap 40 and -29
  List after swap: [32, -68, -12, -29, 40, 35, 73]
  Compare 40 and 35
  Swap 40 and 35
  List after swap: [32, -68, -12, -29, 35, 40, 73]

Pass 3:
  Compare 32 and -68
  Swap 32 and -68
  List after swap: [-68, 32, -12, -29, 35, 40, 73]
  Compare 32 and -12
  Swap 32 and -12
  List after swap: [-68, -12, 32, -29, 35, 40, 73]
  Compare 32 and -29
  Swap 32 and -29
  List after swap: [-68, -12, -29, 32, 35, 40, 73]
  Compare 32 and 35
  No swap needed

Pass 4:
  Compare -68 and -12
  No swap needed
  Compare -12 and -29
  Swap -12 and -29
  List after swap: [-68, -29, -12, 32, 35, 40, 73]
  Compare -12 and 32
  No swap needed

Pass 5:
  Compare -68 and -29
  No swap needed
  Compare -29 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -29, -12, 32, 35, 40, 73]
</think>

<response>-68, -29, -12, 32, 35, 40, 73</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 89, -89, -67, 69, -53, 9.

output:
<think>
Initial list: [89, -89, -67, 69, -53, 9]

Pass 1:
  Compare 89 and -89
  Swap 89 and -89
  List after swap: [-89, 89, -67, 69, -53, 9]
  Compare 89 and -67
  Swap 89 and -67
  List after swap: [-89, -67, 89, 69, -53, 9]
  Compare 89 and 69
  Swap 89 and 69
  List after swap: [-89, -67, 69, 89, -53, 9]
  Compare 89 and -53
  Swap 89 and -53
  List after swap: [-89, -67, 69, -53, 89, 9]
  Compare 89 and 9
  Swap 89 and 9
  List after swap: [-89, -67, 69, -53, 9, 89]

Pass 2:
  Compare -89 and -67
  No swap needed
  Compare -67 and 69
  No swap needed
  Compare 69 and -53
  Swap 69 and -53
  List after swap: [-89, -67, -53, 69, 9, 89]
  Compare 69 and 9
  Swap 69 and 9
  List after swap: [-89, -67, -53, 9, 69, 89]

Pass 3:
  Compare -89 and -67
  No swap needed
  Compare -67 and -53
  No swap needed
  Compare -53 and 9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -67, -53, 9, 69, 89]
</think>

<response>-89, -67, -53, 9, 69, 89</response>


input: Execute bubble sort to sort -14, 21, -88, -95 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-14, 21, -88, -95]

Pass 1:
  Compare -14 and 21
  No swap needed
  Compare 21 and -88
  Swap 21 and -88
  List after swap: [-14, -88, 21, -95]
  Compare 21 and -95
  Swap 21 and -95
  List after swap: [-14, -88, -95, 21]

Pass 2:
  Compare -14 and -88
  Swap -14 and -88
  List after swap: [-88, -14, -95, 21]
  Compare -14 and -95
  Swap -14 and -95
  List after swap: [-88, -95, -14, 21]

Pass 3:
  Compare -88 and -95
  Swap -88 and -95
  List after swap: [-95, -88, -14, 21]

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

Final sorted list: [-95, -88, -14, 21]
</think>

<response>-95, -88, -14, 21</response>


input: Carry out the bubble sort algorithm on 91, 96, 44, -84, -92, -11, -91 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [91, 96, 44, -84, -92, -11, -91]

Pass 1:
  Compare 91 and 96
  No swap needed
  Compare 96 and 44
  Swap 96 and 44
  List after swap: [91, 44, 96, -84, -92, -11, -91]
  Compare 96 and -84
  Swap 96 and -84
  List after swap: [91, 44, -84, 96, -92, -11, -91]
  Compare 96 and -92
  Swap 96 and -92
  List after swap: [91, 44, -84, -92, 96, -11, -91]
  Compare 96 and -11
  Swap 96 and -11
  List after swap: [91, 44, -84, -92, -11, 96, -91]
  Compare 96 and -91
  Swap 96 and -91
  List after swap: [91, 44, -84, -92, -11, -91, 96]

Pass 2:
  Compare 91 and 44
  Swap 91 and 44
  List after swap: [44, 91, -84, -92, -11, -91, 96]
  Compare 91 and -84
  Swap 91 and -84
  List after swap: [44, -84, 91, -92, -11, -91, 96]
  Compare 91 and -92
  Swap 91 and -92
  List after swap: [44, -84, -92, 91, -11, -91, 96]
  Compare 91 and -11
  Swap 91 and -11
  List after swap: [44, -84, -92, -11, 91, -91, 96]
  Compare 91 and -91
  Swap 91 and -91
  List after swap: [44, -84, -92, -11, -91, 91, 96]

Pass 3:
  Compare 44 and -84
  Swap 44 and -84
  List after swap: [-84, 44, -92, -11, -91, 91, 96]
  Compare 44 and -92
  Swap 44 and -92
  List after swap: [-84, -92, 44, -11, -91, 91, 96]
  Compare 44 and -11
  Swap 44 and -11
  List after swap: [-84, -92, -11, 44, -91, 91, 96]
  Compare 44 and -91
  Swap 44 and -91
  List after swap: [-84, -92, -11, -91, 44, 91, 96]

Pass 4:
  Compare -84 and -92
  Swap -84 and -92
  List after swap: [-92, -84, -11, -91, 44, 91, 96]
  Compare -84 and -11
  No swap needed
  Compare -11 and -91
  Swap -11 and -91
  List after swap: [-92, -84, -91, -11, 44, 91, 96]

Pass 5:
  Compare -92 and -84
  No swap needed
  Compare -84 and -91
  Swap -84 and -91
  List after swap: [-92, -91, -84, -11, 44, 91, 96]

Pass 6:
  Compare -92 and -91
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -91, -84, -11, 44, 91, 96]
</think>

<response>-92, -91, -84, -11, 44, 91, 96</response>


input: Demonstrate how bubble sort orders the integers 13, -6, 29, -47, -7, 3, 59, -49, 88 in ascending sequence, showing all steps.

output:
<think>
Initial list: [13, -6, 29, -47, -7, 3, 59, -49, 88]

Pass 1:
  Compare 13 and -6
  Swap 13 and -6
  List after swap: [-6, 13, 29, -47, -7, 3, 59, -49, 88]
  Compare 13 and 29
  No swap needed
  Compare 29 and -47
  Swap 29 and -47
  List after swap: [-6, 13, -47, 29, -7, 3, 59, -49, 88]
  Compare 29 and -7
  Swap 29 and -7
  List after swap: [-6, 13, -47, -7, 29, 3, 59, -49, 88]
  Compare 29 and 3
  Swap 29 and 3
  List after swap: [-6, 13, -47, -7, 3, 29, 59, -49, 88]
  Compare 29 and 59
  No swap needed
  Compare 59 and -49
  Swap 59 and -49
  List after swap: [-6, 13, -47, -7, 3, 29, -49, 59, 88]
  Compare 59 and 88
  No swap needed

Pass 2:
  Compare -6 and 13
  No swap needed
  Compare 13 and -47
  Swap 13 and -47
  List after swap: [-6, -47, 13, -7, 3, 29, -49, 59, 88]
  Compare 13 and -7
  Swap 13 and -7
  List after swap: [-6, -47, -7, 13, 3, 29, -49, 59, 88]
  Compare 13 and 3
  Swap 13 and 3
  List after swap: [-6, -47, -7, 3, 13, 29, -49, 59, 88]
  Compare 13 and 29
  No swap needed
  Compare 29 and -49
  Swap 29 and -49
  List after swap: [-6, -47, -7, 3, 13, -49, 29, 59, 88]
  Compare 29 and 59
  No swap needed

Pass 3:
  Compare -6 and -47
  Swap -6 and -47
  List after swap: [-47, -6, -7, 3, 13, -49, 29, 59, 88]
  Compare -6 and -7
  Swap -6 and -7
  List after swap: [-47, -7, -6, 3, 13, -49, 29, 59, 88]
  Compare -6 and 3
  No swap needed
  Compare 3 and 13
  No swap needed
  Compare 13 and -49
  Swap 13 and -49
  List after swap: [-47, -7, -6, 3, -49, 13, 29, 59, 88]
  Compare 13 and 29
  No swap needed

Pass 4:
  Compare -47 and -7
  No swap needed
  Compare -7 and -6
  No swap needed
  Compare -6 and 3
  No swap needed
  Compare 3 and -49
  Swap 3 and -49
  List after swap: [-47, -7, -6, -49, 3, 13, 29, 59, 88]
  Compare 3 and 13
  No swap needed

Pass 5:
  Compare -47 and -7
  No swap needed
  Compare -7 and -6
  No swap needed
  Compare -6 and -49
  Swap -6 and -49
  List after swap: [-47, -7, -49, -6, 3, 13, 29, 59, 88]
  Compare -6 and 3
  No swap needed

Pass 6:
  Compare -47 and -7
  No swap needed
  Compare -7 and -49
  Swap -7 and -49
  List after swap: [-47, -49, -7, -6, 3, 13, 29, 59, 88]
  Compare -7 and -6
  No swap needed

Pass 7:
  Compare -47 and -49
  Swap -47 and -49
  List after swap: [-49, -47, -7, -6, 3, 13, 29, 59, 88]
  Compare -47 and -7
  No swap needed

Pass 8:
  Compare -49 and -47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-49, -47, -7, -6, 3, 13, 29, 59, 88]
</think>

<response>-49, -47, -7, -6, 3, 13, 29, 59, 88</response>


input: Carry out the bubble sort algorithm on -33, -7, 56, -79, -46, 19, -82, -24, 17, 95 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-33, -7, 56, -79, -46, 19, -82, -24, 17, 95]

Pass 1:
  Compare -33 and -7
  No swap needed
  Compare -7 and 56
  No swap needed
  Compare 56 and -79
  Swap 56 and -79
  List after swap: [-33, -7, -79, 56, -46, 19, -82, -24, 17, 95]
  Compare 56 and -46
  Swap 56 and -46
  List after swap: [-33, -7, -79, -46, 56, 19, -82, -24, 17, 95]
  Compare 56 and 19
  Swap 56 and 19
  List after swap: [-33, -7, -79, -46, 19, 56, -82, -24, 17, 95]
  Compare 56 and -82
  Swap 56 and -82
  List after swap: [-33, -7, -79, -46, 19, -82, 56, -24, 17, 95]
  Compare 56 and -24
  Swap 56 and -24
  List after swap: [-33, -7, -79, -46, 19, -82, -24, 56, 17, 95]
  Compare 56 and 17
  Swap 56 and 17
  List after swap: [-33, -7, -79, -46, 19, -82, -24, 17, 56, 95]
  Compare 56 and 95
  No swap needed

Pass 2:
  Compare -33 and -7
  No swap needed
  Compare -7 and -79
  Swap -7 and -79
  List after swap: [-33, -79, -7, -46, 19, -82, -24, 17, 56, 95]
  Compare -7 and -46
  Swap -7 and -46
  List after swap: [-33, -79, -46, -7, 19, -82, -24, 17, 56, 95]
  Compare -7 and 19
  No swap needed
  Compare 19 and -82
  Swap 19 and -82
  List after swap: [-33, -79, -46, -7, -82, 19, -24, 17, 56, 95]
  Compare 19 and -24
  Swap 19 and -24
  List after swap: [-33, -79, -46, -7, -82, -24, 19, 17, 56, 95]
  Compare 19 and 17
  Swap 19 and 17
  List after swap: [-33, -79, -46, -7, -82, -24, 17, 19, 56, 95]
  Compare 19 and 56
  No swap needed

Pass 3:
  Compare -33 and -79
  Swap -33 and -79
  List after swap: [-79, -33, -46, -7, -82, -24, 17, 19, 56, 95]
  Compare -33 and -46
  Swap -33 and -46
  List after swap: [-79, -46, -33, -7, -82, -24, 17, 19, 56, 95]
  Compare -33 and -7
  No swap needed
  Compare -7 and -82
  Swap -7 and -82
  List after swap: [-79, -46, -33, -82, -7, -24, 17, 19, 56, 95]
  Compare -7 and -24
  Swap -7 and -24
  List after swap: [-79, -46, -33, -82, -24, -7, 17, 19, 56, 95]
  Compare -7 and 17
  No swap needed
  Compare 17 and 19
  No swap needed

Pass 4:
  Compare -79 and -46
  No swap needed
  Compare -46 and -33
  No swap needed
  Compare -33 and -82
  Swap -33 and -82
  List after swap: [-79, -46, -82, -33, -24, -7, 17, 19, 56, 95]
  Compare -33 and -24
  No swap needed
  Compare -24 and -7
  No swap needed
  Compare -7 and 17
  No swap needed

Pass 5:
  Compare -79 and -46
  No swap needed
  Compare -46 and -82
  Swap -46 and -82
  List after swap: [-79, -82, -46, -33, -24, -7, 17, 19, 56, 95]
  Compare -46 and -33
  No swap needed
  Compare -33 and -24
  No swap needed
  Compare -24 and -7
  No swap needed

Pass 6:
  Compare -79 and -82
  Swap -79 and -82
  List after swap: [-82, -79, -46, -33, -24, -7, 17, 19, 56, 95]
  Compare -79 and -46
  No swap needed
  Compare -46 and -33
  No swap needed
  Compare -33 and -24
  No swap needed

Pass 7:
  Compare -82 and -79
  No swap needed
  Compare -79 and -46
  No swap needed
  Compare -46 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -79, -46, -33, -24, -7, 17, 19, 56, 95]
</think>

<response>-82, -79, -46, -33, -24, -7, 17, 19, 56, 95</response>


input: Sort these integers 62, -2, -26 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [62, -2, -26]

Pass 1:
  Compare 62 and -2
  Swap 62 and -2
  List after swap: [-2, 62, -26]
  Compare 62 and -26
  Swap 62 and -26
  List after swap: [-2, -26, 62]

Pass 2:
  Compare -2 and -26
  Swap -2 and -26
  List after swap: [-26, -2, 62]

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

Final sorted list: [-26, -2, 62]
</think>

<response>-26, -2, 62</response>


input: Using the bubble sort method, sort 44, -80 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [44, -80]

Pass 1:
  Compare 44 and -80
  Swap 44 and -80
  List after swap: [-80, 44]

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

Final sorted list: [-80, 44]
</think>

<response>-80, 44</response>


input: Carry out the bubble sort algorithm on 52, -74 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [52, -74]

Pass 1:
  Compare 52 and -74
  Swap 52 and -74
  List after swap: [-74, 52]

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

Final sorted list: [-74, 52]
</think>

<response>-74, 52</response>


input: Perform a bubble sort on the integers 89, -68, -63, 1, -9, 60, 88, 47, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [89, -68, -63, 1, -9, 60, 88, 47]

Pass 1:
  Compare 89 and -68
  Swap 89 and -68
  List after swap: [-68, 89, -63, 1, -9, 60, 88, 47]
  Compare 89 and -63
  Swap 89 and -63
  List after swap: [-68, -63, 89, 1, -9, 60, 88, 47]
  Compare 89 and 1
  Swap 89 and 1
  List after swap: [-68, -63, 1, 89, -9, 60, 88, 47]
  Compare 89 and -9
  Swap 89 and -9
  List after swap: [-68, -63, 1, -9, 89, 60, 88, 47]
  Compare 89 and 60
  Swap 89 and 60
  List after swap: [-68, -63, 1, -9, 60, 89, 88, 47]
  Compare 89 and 88
  Swap 89 and 88
  List after swap: [-68, -63, 1, -9, 60, 88, 89, 47]
  Compare 89 and 47
  Swap 89 and 47
  List after swap: [-68, -63, 1, -9, 60, 88, 47, 89]

Pass 2:
  Compare -68 and -63
  No swap needed
  Compare -63 and 1
  No swap needed
  Compare 1 and -9
  Swap 1 and -9
  List after swap: [-68, -63, -9, 1, 60, 88, 47, 89]
  Compare 1 and 60
  No swap needed
  Compare 60 and 88
  No swap needed
  Compare 88 and 47
  Swap 88 and 47
  List after swap: [-68, -63, -9, 1, 60, 47, 88, 89]

Pass 3:
  Compare -68 and -63
  No swap needed
  Compare -63 and -9
  No swap needed
  Compare -9 and 1
  No swap needed
  Compare 1 and 60
  No swap needed
  Compare 60 and 47
  Swap 60 and 47
  List after swap: [-68, -63, -9, 1, 47, 60, 88, 89]

Pass 4:
  Compare -68 and -63
  No swap needed
  Compare -63 and -9
  No swap needed
  Compare -9 and 1
  No swap needed
  Compare 1 and 47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -63, -9, 1, 47, 60, 88, 89]
</think>

<response>-68, -63, -9, 1, 47, 60, 88, 89</response>


input: Sort the list -20, -56, 7, -95, -65, 59, -63, 30, 0 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-20, -56, 7, -95, -65, 59, -63, 30, 0]

Pass 1:
  Compare -20 and -56
  Swap -20 and -56
  List after swap: [-56, -20, 7, -95, -65, 59, -63, 30, 0]
  Compare -20 and 7
  No swap needed
  Compare 7 and -95
  Swap 7 and -95
  List after swap: [-56, -20, -95, 7, -65, 59, -63, 30, 0]
  Compare 7 and -65
  Swap 7 and -65
  List after swap: [-56, -20, -95, -65, 7, 59, -63, 30, 0]
  Compare 7 and 59
  No swap needed
  Compare 59 and -63
  Swap 59 and -63
  List after swap: [-56, -20, -95, -65, 7, -63, 59, 30, 0]
  Compare 59 and 30
  Swap 59 and 30
  List after swap: [-56, -20, -95, -65, 7, -63, 30, 59, 0]
  Compare 59 and 0
  Swap 59 and 0
  List after swap: [-56, -20, -95, -65, 7, -63, 30, 0, 59]

Pass 2:
  Compare -56 and -20
  No swap needed
  Compare -20 and -95
  Swap -20 and -95
  List after swap: [-56, -95, -20, -65, 7, -63, 30, 0, 59]
  Compare -20 and -65
  Swap -20 and -65
  List after swap: [-56, -95, -65, -20, 7, -63, 30, 0, 59]
  Compare -20 and 7
  No swap needed
  Compare 7 and -63
  Swap 7 and -63
  List after swap: [-56, -95, -65, -20, -63, 7, 30, 0, 59]
  Compare 7 and 30
  No swap needed
  Compare 30 and 0
  Swap 30 and 0
  List after swap: [-56, -95, -65, -20, -63, 7, 0, 30, 59]

Pass 3:
  Compare -56 and -95
  Swap -56 and -95
  List after swap: [-95, -56, -65, -20, -63, 7, 0, 30, 59]
  Compare -56 and -65
  Swap -56 and -65
  List after swap: [-95, -65, -56, -20, -63, 7, 0, 30, 59]
  Compare -56 and -20
  No swap needed
  Compare -20 and -63
  Swap -20 and -63
  List after swap: [-95, -65, -56, -63, -20, 7, 0, 30, 59]
  Compare -20 and 7
  No swap needed
  Compare 7 and 0
  Swap 7 and 0
  List after swap: [-95, -65, -56, -63, -20, 0, 7, 30, 59]

Pass 4:
  Compare -95 and -65
  No swap needed
  Compare -65 and -56
  No swap needed
  Compare -56 and -63
  Swap -56 and -63
  List after swap: [-95, -65, -63, -56, -20, 0, 7, 30, 59]
  Compare -56 and -20
  No swap needed
  Compare -20 and 0
  No swap needed

Pass 5:
  Compare -95 and -65
  No swap needed
  Compare -65 and -63
  No swap needed
  Compare -63 and -56
  No swap needed
  Compare -56 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -65, -63, -56, -20, 0, 7, 30, 59]
</think>

<response>-95, -65, -63, -56, -20, 0, 7, 30, 59</response>


input: Carry out the bubble sort algorithm on -63, -15 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-63, -15]

Pass 1:
  Compare -63 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -15]
</think>

<response>-63, -15</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 43, 5, 34, 79, 33, 37, 36, 12.

output:
<think>
Initial list: [43, 5, 34, 79, 33, 37, 36, 12]

Pass 1:
  Compare 43 and 5
  Swap 43 and 5
  List after swap: [5, 43, 34, 79, 33, 37, 36, 12]
  Compare 43 and 34
  Swap 43 and 34
  List after swap: [5, 34, 43, 79, 33, 37, 36, 12]
  Compare 43 and 79
  No swap needed
  Compare 79 and 33
  Swap 79 and 33
  List after swap: [5, 34, 43, 33, 79, 37, 36, 12]
  Compare 79 and 37
  Swap 79 and 37
  List after swap: [5, 34, 43, 33, 37, 79, 36, 12]
  Compare 79 and 36
  Swap 79 and 36
  List after swap: [5, 34, 43, 33, 37, 36, 79, 12]
  Compare 79 and 12
  Swap 79 and 12
  List after swap: [5, 34, 43, 33, 37, 36, 12, 79]

Pass 2:
  Compare 5 and 34
  No swap needed
  Compare 34 and 43
  No swap needed
  Compare 43 and 33
  Swap 43 and 33
  List after swap: [5, 34, 33, 43, 37, 36, 12, 79]
  Compare 43 and 37
  Swap 43 and 37
  List after swap: [5, 34, 33, 37, 43, 36, 12, 79]
  Compare 43 and 36
  Swap 43 and 36
  List after swap: [5, 34, 33, 37, 36, 43, 12, 79]
  Compare 43 and 12
  Swap 43 and 12
  List after swap: [5, 34, 33, 37, 36, 12, 43, 79]

Pass 3:
  Compare 5 and 34
  No swap needed
  Compare 34 and 33
  Swap 34 and 33
  List after swap: [5, 33, 34, 37, 36, 12, 43, 79]
  Compare 34 and 37
  No swap needed
  Compare 37 and 36
  Swap 37 and 36
  List after swap: [5, 33, 34, 36, 37, 12, 43, 79]
  Compare 37 and 12
  Swap 37 and 12
  List after swap: [5, 33, 34, 36, 12, 37, 43, 79]

Pass 4:
  Compare 5 and 33
  No swap needed
  Compare 33 and 34
  No swap needed
  Compare 34 and 36
  No swap needed
  Compare 36 and 12
  Swap 36 and 12
  List after swap: [5, 33, 34, 12, 36, 37, 43, 79]

Pass 5:
  Compare 5 and 33
  No swap needed
  Compare 33 and 34
  No swap needed
  Compare 34 and 12
  Swap 34 and 12
  List after swap: [5, 33, 12, 34, 36, 37, 43, 79]

Pass 6:
  Compare 5 and 33
  No swap needed
  Compare 33 and 12
  Swap 33 and 12
  List after swap: [5, 12, 33, 34, 36, 37, 43, 79]

Pass 7:
  Compare 5 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [5, 12, 33, 34, 36, 37, 43, 79]
</think>

<response>5, 12, 33, 34, 36, 37, 43, 79</response>


input: Carry out the bubble sort algorithm on -90, 16, 98 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-90, 16, 98]

Pass 1:
  Compare -90 and 16
  No swap needed
  Compare 16 and 98
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, 16, 98]
</think>

<response>-90, 16, 98</response>


input: Execute bubble sort to sort 89, -95, 18, -8, 98, 31, 63, -93 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [89, -95, 18, -8, 98, 31, 63, -93]

Pass 1:
  Compare 89 and -95
  Swap 89 and -95
  List after swap: [-95, 89, 18, -8, 98, 31, 63, -93]
  Compare 89 and 18
  Swap 89 and 18
  List after swap: [-95, 18, 89, -8, 98, 31, 63, -93]
  Compare 89 and -8
  Swap 89 and -8
  List after swap: [-95, 18, -8, 89, 98, 31, 63, -93]
  Compare 89 and 98
  No swap needed
  Compare 98 and 31
  Swap 98 and 31
  List after swap: [-95, 18, -8, 89, 31, 98, 63, -93]
  Compare 98 and 63
  Swap 98 and 63
  List after swap: [-95, 18, -8, 89, 31, 63, 98, -93]
  Compare 98 and -93
  Swap 98 and -93
  List after swap: [-95, 18, -8, 89, 31, 63, -93, 98]

Pass 2:
  Compare -95 and 18
  No swap needed
  Compare 18 and -8
  Swap 18 and -8
  List after swap: [-95, -8, 18, 89, 31, 63, -93, 98]
  Compare 18 and 89
  No swap needed
  Compare 89 and 31
  Swap 89 and 31
  List after swap: [-95, -8, 18, 31, 89, 63, -93, 98]
  Compare 89 and 63
  Swap 89 and 63
  List after swap: [-95, -8, 18, 31, 63, 89, -93, 98]
  Compare 89 and -93
  Swap 89 and -93
  List after swap: [-95, -8, 18, 31, 63, -93, 89, 98]

Pass 3:
  Compare -95 and -8
  No swap needed
  Compare -8 and 18
  No swap needed
  Compare 18 and 31
  No swap needed
  Compare 31 and 63
  No swap needed
  Compare 63 and -93
  Swap 63 and -93
  List after swap: [-95, -8, 18, 31, -93, 63, 89, 98]

Pass 4:
  Compare -95 and -8
  No swap needed
  Compare -8 and 18
  No swap needed
  Compare 18 and 31
  No swap needed
  Compare 31 and -93
  Swap 31 and -93
  List after swap: [-95, -8, 18, -93, 31, 63, 89, 98]

Pass 5:
  Compare -95 and -8
  No swap needed
  Compare -8 and 18
  No swap needed
  Compare 18 and -93
  Swap 18 and -93
  List after swap: [-95, -8, -93, 18, 31, 63, 89, 98]

Pass 6:
  Compare -95 and -8
  No swap needed
  Compare -8 and -93
  Swap -8 and -93
  List after swap: [-95, -93, -8, 18, 31, 63, 89, 98]

Pass 7:
  Compare -95 and -93
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -93, -8, 18, 31, 63, 89, 98]
</think>

<response>-95, -93, -8, 18, 31, 63, 89, 98</response>


input: Carry out the bubble sort algorithm on 80, 44, 61, 86, 2, -16 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [80, 44, 61, 86, 2, -16]

Pass 1:
  Compare 80 and 44
  Swap 80 and 44
  List after swap: [44, 80, 61, 86, 2, -16]
  Compare 80 and 61
  Swap 80 and 61
  List after swap: [44, 61, 80, 86, 2, -16]
  Compare 80 and 86
  No swap needed
  Compare 86 and 2
  Swap 86 and 2
  List after swap: [44, 61, 80, 2, 86, -16]
  Compare 86 and -16
  Swap 86 and -16
  List after swap: [44, 61, 80, 2, -16, 86]

Pass 2:
  Compare 44 and 61
  No swap needed
  Compare 61 and 80
  No swap needed
  Compare 80 and 2
  Swap 80 and 2
  List after swap: [44, 61, 2, 80, -16, 86]
  Compare 80 and -16
  Swap 80 and -16
  List after swap: [44, 61, 2, -16, 80, 86]

Pass 3:
  Compare 44 and 61
  No swap needed
  Compare 61 and 2
  Swap 61 and 2
  List after swap: [44, 2, 61, -16, 80, 86]
  Compare 61 and -16
  Swap 61 and -16
  List after swap: [44, 2, -16, 61, 80, 86]

Pass 4:
  Compare 44 and 2
  Swap 44 and 2
  List after swap: [2, 44, -16, 61, 80, 86]
  Compare 44 and -16
  Swap 44 and -16
  List after swap: [2, -16, 44, 61, 80, 86]

Pass 5:
  Compare 2 and -16
  Swap 2 and -16
  List after swap: [-16, 2, 44, 61, 80, 86]

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

Final sorted list: [-16, 2, 44, 61, 80, 86]
</think>

<response>-16, 2, 44, 61, 80, 86</response>


input: Sort the list -22, 51 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-22, 51]

Pass 1:
  Compare -22 and 51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-22, 51]
</think>

<response>-22, 51</response>


input: Sort these integers -45, 12, -18, 69, -12 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-45, 12, -18, 69, -12]

Pass 1:
  Compare -45 and 12
  No swap needed
  Compare 12 and -18
  Swap 12 and -18
  List after swap: [-45, -18, 12, 69, -12]
  Compare 12 and 69
  No swap needed
  Compare 69 and -12
  Swap 69 and -12
  List after swap: [-45, -18, 12, -12, 69]

Pass 2:
  Compare -45 and -18
  No swap needed
  Compare -18 and 12
  No swap needed
  Compare 12 and -12
  Swap 12 and -12
  List after swap: [-45, -18, -12, 12, 69]

Pass 3:
  Compare -45 and -18
  No swap needed
  Compare -18 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-45, -18, -12, 12, 69]
</think>

<response>-45, -18, -12, 12, 69</response>


input: Sort the list 28, 57, -44, 68, -85, 8, -81, 54, -58, -3 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [28, 57, -44, 68, -85, 8, -81, 54, -58, -3]

Pass 1:
  Compare 28 and 57
  No swap needed
  Compare 57 and -44
  Swap 57 and -44
  List after swap: [28, -44, 57, 68, -85, 8, -81, 54, -58, -3]
  Compare 57 and 68
  No swap needed
  Compare 68 and -85
  Swap 68 and -85
  List after swap: [28, -44, 57, -85, 68, 8, -81, 54, -58, -3]
  Compare 68 and 8
  Swap 68 and 8
  List after swap: [28, -44, 57, -85, 8, 68, -81, 54, -58, -3]
  Compare 68 and -81
  Swap 68 and -81
  List after swap: [28, -44, 57, -85, 8, -81, 68, 54, -58, -3]
  Compare 68 and 54
  Swap 68 and 54
  List after swap: [28, -44, 57, -85, 8, -81, 54, 68, -58, -3]
  Compare 68 and -58
  Swap 68 and -58
  List after swap: [28, -44, 57, -85, 8, -81, 54, -58, 68, -3]
  Compare 68 and -3
  Swap 68 and -3
  List after swap: [28, -44, 57, -85, 8, -81, 54, -58, -3, 68]

Pass 2:
  Compare 28 and -44
  Swap 28 and -44
  List after swap: [-44, 28, 57, -85, 8, -81, 54, -58, -3, 68]
  Compare 28 and 57
  No swap needed
  Compare 57 and -85
  Swap 57 and -85
  List after swap: [-44, 28, -85, 57, 8, -81, 54, -58, -3, 68]
  Compare 57 and 8
  Swap 57 and 8
  List after swap: [-44, 28, -85, 8, 57, -81, 54, -58, -3, 68]
  Compare 57 and -81
  Swap 57 and -81
  List after swap: [-44, 28, -85, 8, -81, 57, 54, -58, -3, 68]
  Compare 57 and 54
  Swap 57 and 54
  List after swap: [-44, 28, -85, 8, -81, 54, 57, -58, -3, 68]
  Compare 57 and -58
  Swap 57 and -58
  List after swap: [-44, 28, -85, 8, -81, 54, -58, 57, -3, 68]
  Compare 57 and -3
  Swap 57 and -3
  List after swap: [-44, 28, -85, 8, -81, 54, -58, -3, 57, 68]

Pass 3:
  Compare -44 and 28
  No swap needed
  Compare 28 and -85
  Swap 28 and -85
  List after swap: [-44, -85, 28, 8, -81, 54, -58, -3, 57, 68]
  Compare 28 and 8
  Swap 28 and 8
  List after swap: [-44, -85, 8, 28, -81, 54, -58, -3, 57, 68]
  Compare 28 and -81
  Swap 28 and -81
  List after swap: [-44, -85, 8, -81, 28, 54, -58, -3, 57, 68]
  Compare 28 and 54
  No swap needed
  Compare 54 and -58
  Swap 54 and -58
  List after swap: [-44, -85, 8, -81, 28, -58, 54, -3, 57, 68]
  Compare 54 and -3
  Swap 54 and -3
  List after swap: [-44, -85, 8, -81, 28, -58, -3, 54, 57, 68]

Pass 4:
  Compare -44 and -85
  Swap -44 and -85
  List after swap: [-85, -44, 8, -81, 28, -58, -3, 54, 57, 68]
  Compare -44 and 8
  No swap needed
  Compare 8 and -81
  Swap 8 and -81
  List after swap: [-85, -44, -81, 8, 28, -58, -3, 54, 57, 68]
  Compare 8 and 28
  No swap needed
  Compare 28 and -58
  Swap 28 and -58
  List after swap: [-85, -44, -81, 8, -58, 28, -3, 54, 57, 68]
  Compare 28 and -3
  Swap 28 and -3
  List after swap: [-85, -44, -81, 8, -58, -3, 28, 54, 57, 68]

Pass 5:
  Compare -85 and -44
  No swap needed
  Compare -44 and -81
  Swap -44 and -81
  List after swap: [-85, -81, -44, 8, -58, -3, 28, 54, 57, 68]
  Compare -44 and 8
  No swap needed
  Compare 8 and -58
  Swap 8 and -58
  List after swap: [-85, -81, -44, -58, 8, -3, 28, 54, 57, 68]
  Compare 8 and -3
  Swap 8 and -3
  List after swap: [-85, -81, -44, -58, -3, 8, 28, 54, 57, 68]

Pass 6:
  Compare -85 and -81
  No swap needed
  Compare -81 and -44
  No swap needed
  Compare -44 and -58
  Swap -44 and -58
  List after swap: [-85, -81, -58, -44, -3, 8, 28, 54, 57, 68]
  Compare -44 and -3
  No swap needed

Pass 7:
  Compare -85 and -81
  No swap needed
  Compare -81 and -58
  No swap needed
  Compare -58 and -44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -81, -58, -44, -3, 8, 28, 54, 57, 68]
</think>

<response>-85, -81, -58, -44, -3, 8, 28, 54, 57, 68</response>


input: Use the bubble sort technique to reorder -81, 37, 57, 16, 87, 64 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-81, 37, 57, 16, 87, 64]

Pass 1:
  Compare -81 and 37
  No swap needed
  Compare 37 and 57
  No swap needed
  Compare 57 and 16
  Swap 57 and 16
  List after swap: [-81, 37, 16, 57, 87, 64]
  Compare 57 and 87
  No swap needed
  Compare 87 and 64
  Swap 87 and 64
  List after swap: [-81, 37, 16, 57, 64, 87]

Pass 2:
  Compare -81 and 37
  No swap needed
  Compare 37 and 16
  Swap 37 and 16
  List after swap: [-81, 16, 37, 57, 64, 87]
  Compare 37 and 57
  No swap needed
  Compare 57 and 64
  No swap needed

Pass 3:
  Compare -81 and 16
  No swap needed
  Compare 16 and 37
  No swap needed
  Compare 37 and 57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, 16, 37, 57, 64, 87]
</think>

<response>-81, 16, 37, 57, 64, 87</response>


input: Sort these integers -30, -82, 82, 85 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-30, -82, 82, 85]

Pass 1:
  Compare -30 and -82
  Swap -30 and -82
  List after swap: [-82, -30, 82, 85]
  Compare -30 and 82
  No swap needed
  Compare 82 and 85
  No swap needed

Pass 2:
  Compare -82 and -30
  No swap needed
  Compare -30 and 82
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -30, 82, 85]
</think>

<response>-82, -30, 82, 85</response>


input: Carry out the bubble sort algorithm on -55, -2, 77, -74, -15, 0, -51, 51, 90, -36 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-55, -2, 77, -74, -15, 0, -51, 51, 90, -36]

Pass 1:
  Compare -55 and -2
  No swap needed
  Compare -2 and 77
  No swap needed
  Compare 77 and -74
  Swap 77 and -74
  List after swap: [-55, -2, -74, 77, -15, 0, -51, 51, 90, -36]
  Compare 77 and -15
  Swap 77 and -15
  List after swap: [-55, -2, -74, -15, 77, 0, -51, 51, 90, -36]
  Compare 77 and 0
  Swap 77 and 0
  List after swap: [-55, -2, -74, -15, 0, 77, -51, 51, 90, -36]
  Compare 77 and -51
  Swap 77 and -51
  List after swap: [-55, -2, -74, -15, 0, -51, 77, 51, 90, -36]
  Compare 77 and 51
  Swap 77 and 51
  List after swap: [-55, -2, -74, -15, 0, -51, 51, 77, 90, -36]
  Compare 77 and 90
  No swap needed
  Compare 90 and -36
  Swap 90 and -36
  List after swap: [-55, -2, -74, -15, 0, -51, 51, 77, -36, 90]

Pass 2:
  Compare -55 and -2
  No swap needed
  Compare -2 and -74
  Swap -2 and -74
  List after swap: [-55, -74, -2, -15, 0, -51, 51, 77, -36, 90]
  Compare -2 and -15
  Swap -2 and -15
  List after swap: [-55, -74, -15, -2, 0, -51, 51, 77, -36, 90]
  Compare -2 and 0
  No swap needed
  Compare 0 and -51
  Swap 0 and -51
  List after swap: [-55, -74, -15, -2, -51, 0, 51, 77, -36, 90]
  Compare 0 and 51
  No swap needed
  Compare 51 and 77
  No swap needed
  Compare 77 and -36
  Swap 77 and -36
  List after swap: [-55, -74, -15, -2, -51, 0, 51, -36, 77, 90]

Pass 3:
  Compare -55 and -74
  Swap -55 and -74
  List after swap: [-74, -55, -15, -2, -51, 0, 51, -36, 77, 90]
  Compare -55 and -15
  No swap needed
  Compare -15 and -2
  No swap needed
  Compare -2 and -51
  Swap -2 and -51
  List after swap: [-74, -55, -15, -51, -2, 0, 51, -36, 77, 90]
  Compare -2 and 0
  No swap needed
  Compare 0 and 51
  No swap needed
  Compare 51 and -36
  Swap 51 and -36
  List after swap: [-74, -55, -15, -51, -2, 0, -36, 51, 77, 90]

Pass 4:
  Compare -74 and -55
  No swap needed
  Compare -55 and -15
  No swap needed
  Compare -15 and -51
  Swap -15 and -51
  List after swap: [-74, -55, -51, -15, -2, 0, -36, 51, 77, 90]
  Compare -15 and -2
  No swap needed
  Compare -2 and 0
  No swap needed
  Compare 0 and -36
  Swap 0 and -36
  List after swap: [-74, -55, -51, -15, -2, -36, 0, 51, 77, 90]

Pass 5:
  Compare -74 and -55
  No swap needed
  Compare -55 and -51
  No swap needed
  Compare -51 and -15
  No swap needed
  Compare -15 and -2
  No swap needed
  Compare -2 and -36
  Swap -2 and -36
  List after swap: [-74, -55, -51, -15, -36, -2, 0, 51, 77, 90]

Pass 6:
  Compare -74 and -55
  No swap needed
  Compare -55 and -51
  No swap needed
  Compare -51 and -15
  No swap needed
  Compare -15 and -36
  Swap -15 and -36
  List after swap: [-74, -55, -51, -36, -15, -2, 0, 51, 77, 90]

Pass 7:
  Compare -74 and -55
  No swap needed
  Compare -55 and -51
  No swap needed
  Compare -51 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -55, -51, -36, -15, -2, 0, 51, 77, 90]
</think>

<response>-74, -55, -51, -36, -15, -2, 0, 51, 77, 90</response>