input: Use bubble sort to organize these integers in increasing order and record each step taken: 23, -81, 96, -68, 15, -29, -87, 62, 36, 27.

output:
<think>
Initial list: [23, -81, 96, -68, 15, -29, -87, 62, 36, 27]

Pass 1:
  Compare 23 and -81
  Swap 23 and -81
  List after swap: [-81, 23, 96, -68, 15, -29, -87, 62, 36, 27]
  Compare 23 and 96
  No swap needed
  Compare 96 and -68
  Swap 96 and -68
  List after swap: [-81, 23, -68, 96, 15, -29, -87, 62, 36, 27]
  Compare 96 and 15
  Swap 96 and 15
  List after swap: [-81, 23, -68, 15, 96, -29, -87, 62, 36, 27]
  Compare 96 and -29
  Swap 96 and -29
  List after swap: [-81, 23, -68, 15, -29, 96, -87, 62, 36, 27]
  Compare 96 and -87
  Swap 96 and -87
  List after swap: [-81, 23, -68, 15, -29, -87, 96, 62, 36, 27]
  Compare 96 and 62
  Swap 96 and 62
  List after swap: [-81, 23, -68, 15, -29, -87, 62, 96, 36, 27]
  Compare 96 and 36
  Swap 96 and 36
  List after swap: [-81, 23, -68, 15, -29, -87, 62, 36, 96, 27]
  Compare 96 and 27
  Swap 96 and 27
  List after swap: [-81, 23, -68, 15, -29, -87, 62, 36, 27, 96]

Pass 2:
  Compare -81 and 23
  No swap needed
  Compare 23 and -68
  Swap 23 and -68
  List after swap: [-81, -68, 23, 15, -29, -87, 62, 36, 27, 96]
  Compare 23 and 15
  Swap 23 and 15
  List after swap: [-81, -68, 15, 23, -29, -87, 62, 36, 27, 96]
  Compare 23 and -29
  Swap 23 and -29
  List after swap: [-81, -68, 15, -29, 23, -87, 62, 36, 27, 96]
  Compare 23 and -87
  Swap 23 and -87
  List after swap: [-81, -68, 15, -29, -87, 23, 62, 36, 27, 96]
  Compare 23 and 62
  No swap needed
  Compare 62 and 36
  Swap 62 and 36
  List after swap: [-81, -68, 15, -29, -87, 23, 36, 62, 27, 96]
  Compare 62 and 27
  Swap 62 and 27
  List after swap: [-81, -68, 15, -29, -87, 23, 36, 27, 62, 96]

Pass 3:
  Compare -81 and -68
  No swap needed
  Compare -68 and 15
  No swap needed
  Compare 15 and -29
  Swap 15 and -29
  List after swap: [-81, -68, -29, 15, -87, 23, 36, 27, 62, 96]
  Compare 15 and -87
  Swap 15 and -87
  List after swap: [-81, -68, -29, -87, 15, 23, 36, 27, 62, 96]
  Compare 15 and 23
  No swap needed
  Compare 23 and 36
  No swap needed
  Compare 36 and 27
  Swap 36 and 27
  List after swap: [-81, -68, -29, -87, 15, 23, 27, 36, 62, 96]

Pass 4:
  Compare -81 and -68
  No swap needed
  Compare -68 and -29
  No swap needed
  Compare -29 and -87
  Swap -29 and -87
  List after swap: [-81, -68, -87, -29, 15, 23, 27, 36, 62, 96]
  Compare -29 and 15
  No swap needed
  Compare 15 and 23
  No swap needed
  Compare 23 and 27
  No swap needed

Pass 5:
  Compare -81 and -68
  No swap needed
  Compare -68 and -87
  Swap -68 and -87
  List after swap: [-81, -87, -68, -29, 15, 23, 27, 36, 62, 96]
  Compare -68 and -29
  No swap needed
  Compare -29 and 15
  No swap needed
  Compare 15 and 23
  No swap needed

Pass 6:
  Compare -81 and -87
  Swap -81 and -87
  List after swap: [-87, -81, -68, -29, 15, 23, 27, 36, 62, 96]
  Compare -81 and -68
  No swap needed
  Compare -68 and -29
  No swap needed
  Compare -29 and 15
  No swap needed

Pass 7:
  Compare -87 and -81
  No swap needed
  Compare -81 and -68
  No swap needed
  Compare -68 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -81, -68, -29, 15, 23, 27, 36, 62, 96]
</think>

<response>-87, -81, -68, -29, 15, 23, 27, 36, 62, 96</response>


input: Sort these integers -87, 48, 26, 42, 58, 20, -3, -19 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-87, 48, 26, 42, 58, 20, -3, -19]

Pass 1:
  Compare -87 and 48
  No swap needed
  Compare 48 and 26
  Swap 48 and 26
  List after swap: [-87, 26, 48, 42, 58, 20, -3, -19]
  Compare 48 and 42
  Swap 48 and 42
  List after swap: [-87, 26, 42, 48, 58, 20, -3, -19]
  Compare 48 and 58
  No swap needed
  Compare 58 and 20
  Swap 58 and 20
  List after swap: [-87, 26, 42, 48, 20, 58, -3, -19]
  Compare 58 and -3
  Swap 58 and -3
  List after swap: [-87, 26, 42, 48, 20, -3, 58, -19]
  Compare 58 and -19
  Swap 58 and -19
  List after swap: [-87, 26, 42, 48, 20, -3, -19, 58]

Pass 2:
  Compare -87 and 26
  No swap needed
  Compare 26 and 42
  No swap needed
  Compare 42 and 48
  No swap needed
  Compare 48 and 20
  Swap 48 and 20
  List after swap: [-87, 26, 42, 20, 48, -3, -19, 58]
  Compare 48 and -3
  Swap 48 and -3
  List after swap: [-87, 26, 42, 20, -3, 48, -19, 58]
  Compare 48 and -19
  Swap 48 and -19
  List after swap: [-87, 26, 42, 20, -3, -19, 48, 58]

Pass 3:
  Compare -87 and 26
  No swap needed
  Compare 26 and 42
  No swap needed
  Compare 42 and 20
  Swap 42 and 20
  List after swap: [-87, 26, 20, 42, -3, -19, 48, 58]
  Compare 42 and -3
  Swap 42 and -3
  List after swap: [-87, 26, 20, -3, 42, -19, 48, 58]
  Compare 42 and -19
  Swap 42 and -19
  List after swap: [-87, 26, 20, -3, -19, 42, 48, 58]

Pass 4:
  Compare -87 and 26
  No swap needed
  Compare 26 and 20
  Swap 26 and 20
  List after swap: [-87, 20, 26, -3, -19, 42, 48, 58]
  Compare 26 and -3
  Swap 26 and -3
  List after swap: [-87, 20, -3, 26, -19, 42, 48, 58]
  Compare 26 and -19
  Swap 26 and -19
  List after swap: [-87, 20, -3, -19, 26, 42, 48, 58]

Pass 5:
  Compare -87 and 20
  No swap needed
  Compare 20 and -3
  Swap 20 and -3
  List after swap: [-87, -3, 20, -19, 26, 42, 48, 58]
  Compare 20 and -19
  Swap 20 and -19
  List after swap: [-87, -3, -19, 20, 26, 42, 48, 58]

Pass 6:
  Compare -87 and -3
  No swap needed
  Compare -3 and -19
  Swap -3 and -19
  List after swap: [-87, -19, -3, 20, 26, 42, 48, 58]

Pass 7:
  Compare -87 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -19, -3, 20, 26, 42, 48, 58]
</think>

<response>-87, -19, -3, 20, 26, 42, 48, 58</response>


input: Using the bubble sort method, sort 23, 22, -77, -10 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [23, 22, -77, -10]

Pass 1:
  Compare 23 and 22
  Swap 23 and 22
  List after swap: [22, 23, -77, -10]
  Compare 23 and -77
  Swap 23 and -77
  List after swap: [22, -77, 23, -10]
  Compare 23 and -10
  Swap 23 and -10
  List after swap: [22, -77, -10, 23]

Pass 2:
  Compare 22 and -77
  Swap 22 and -77
  List after swap: [-77, 22, -10, 23]
  Compare 22 and -10
  Swap 22 and -10
  List after swap: [-77, -10, 22, 23]

Pass 3:
  Compare -77 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -10, 22, 23]
</think>

<response>-77, -10, 22, 23</response>


input: Demonstrate how bubble sort orders the integers -100, -16, 46, -54 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-100, -16, 46, -54]

Pass 1:
  Compare -100 and -16
  No swap needed
  Compare -16 and 46
  No swap needed
  Compare 46 and -54
  Swap 46 and -54
  List after swap: [-100, -16, -54, 46]

Pass 2:
  Compare -100 and -16
  No swap needed
  Compare -16 and -54
  Swap -16 and -54
  List after swap: [-100, -54, -16, 46]

Pass 3:
  Compare -100 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -54, -16, 46]
</think>

<response>-100, -54, -16, 46</response>


input: Use the bubble sort technique to reorder -79, -8, 29, 69, -53, 33, -26, -93, 62, 95 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-79, -8, 29, 69, -53, 33, -26, -93, 62, 95]

Pass 1:
  Compare -79 and -8
  No swap needed
  Compare -8 and 29
  No swap needed
  Compare 29 and 69
  No swap needed
  Compare 69 and -53
  Swap 69 and -53
  List after swap: [-79, -8, 29, -53, 69, 33, -26, -93, 62, 95]
  Compare 69 and 33
  Swap 69 and 33
  List after swap: [-79, -8, 29, -53, 33, 69, -26, -93, 62, 95]
  Compare 69 and -26
  Swap 69 and -26
  List after swap: [-79, -8, 29, -53, 33, -26, 69, -93, 62, 95]
  Compare 69 and -93
  Swap 69 and -93
  List after swap: [-79, -8, 29, -53, 33, -26, -93, 69, 62, 95]
  Compare 69 and 62
  Swap 69 and 62
  List after swap: [-79, -8, 29, -53, 33, -26, -93, 62, 69, 95]
  Compare 69 and 95
  No swap needed

Pass 2:
  Compare -79 and -8
  No swap needed
  Compare -8 and 29
  No swap needed
  Compare 29 and -53
  Swap 29 and -53
  List after swap: [-79, -8, -53, 29, 33, -26, -93, 62, 69, 95]
  Compare 29 and 33
  No swap needed
  Compare 33 and -26
  Swap 33 and -26
  List after swap: [-79, -8, -53, 29, -26, 33, -93, 62, 69, 95]
  Compare 33 and -93
  Swap 33 and -93
  List after swap: [-79, -8, -53, 29, -26, -93, 33, 62, 69, 95]
  Compare 33 and 62
  No swap needed
  Compare 62 and 69
  No swap needed

Pass 3:
  Compare -79 and -8
  No swap needed
  Compare -8 and -53
  Swap -8 and -53
  List after swap: [-79, -53, -8, 29, -26, -93, 33, 62, 69, 95]
  Compare -8 and 29
  No swap needed
  Compare 29 and -26
  Swap 29 and -26
  List after swap: [-79, -53, -8, -26, 29, -93, 33, 62, 69, 95]
  Compare 29 and -93
  Swap 29 and -93
  List after swap: [-79, -53, -8, -26, -93, 29, 33, 62, 69, 95]
  Compare 29 and 33
  No swap needed
  Compare 33 and 62
  No swap needed

Pass 4:
  Compare -79 and -53
  No swap needed
  Compare -53 and -8
  No swap needed
  Compare -8 and -26
  Swap -8 and -26
  List after swap: [-79, -53, -26, -8, -93, 29, 33, 62, 69, 95]
  Compare -8 and -93
  Swap -8 and -93
  List after swap: [-79, -53, -26, -93, -8, 29, 33, 62, 69, 95]
  Compare -8 and 29
  No swap needed
  Compare 29 and 33
  No swap needed

Pass 5:
  Compare -79 and -53
  No swap needed
  Compare -53 and -26
  No swap needed
  Compare -26 and -93
  Swap -26 and -93
  List after swap: [-79, -53, -93, -26, -8, 29, 33, 62, 69, 95]
  Compare -26 and -8
  No swap needed
  Compare -8 and 29
  No swap needed

Pass 6:
  Compare -79 and -53
  No swap needed
  Compare -53 and -93
  Swap -53 and -93
  List after swap: [-79, -93, -53, -26, -8, 29, 33, 62, 69, 95]
  Compare -53 and -26
  No swap needed
  Compare -26 and -8
  No swap needed

Pass 7:
  Compare -79 and -93
  Swap -79 and -93
  List after swap: [-93, -79, -53, -26, -8, 29, 33, 62, 69, 95]
  Compare -79 and -53
  No swap needed
  Compare -53 and -26
  No swap needed

Pass 8:
  Compare -93 and -79
  No swap needed
  Compare -79 and -53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -79, -53, -26, -8, 29, 33, 62, 69, 95]
</think>

<response>-93, -79, -53, -26, -8, 29, 33, 62, 69, 95</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -61, -24, -30, -16, -23, 80, 61.

output:
<think>
Initial list: [-61, -24, -30, -16, -23, 80, 61]

Pass 1:
  Compare -61 and -24
  No swap needed
  Compare -24 and -30
  Swap -24 and -30
  List after swap: [-61, -30, -24, -16, -23, 80, 61]
  Compare -24 and -16
  No swap needed
  Compare -16 and -23
  Swap -16 and -23
  List after swap: [-61, -30, -24, -23, -16, 80, 61]
  Compare -16 and 80
  No swap needed
  Compare 80 and 61
  Swap 80 and 61
  List after swap: [-61, -30, -24, -23, -16, 61, 80]

Pass 2:
  Compare -61 and -30
  No swap needed
  Compare -30 and -24
  No swap needed
  Compare -24 and -23
  No swap needed
  Compare -23 and -16
  No swap needed
  Compare -16 and 61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -30, -24, -23, -16, 61, 80]
</think>

<response>-61, -30, -24, -23, -16, 61, 80</response>


input: Sort these integers -34, -11, 6, -93, 0, -19, -37, 47, -79 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-34, -11, 6, -93, 0, -19, -37, 47, -79]

Pass 1:
  Compare -34 and -11
  No swap needed
  Compare -11 and 6
  No swap needed
  Compare 6 and -93
  Swap 6 and -93
  List after swap: [-34, -11, -93, 6, 0, -19, -37, 47, -79]
  Compare 6 and 0
  Swap 6 and 0
  List after swap: [-34, -11, -93, 0, 6, -19, -37, 47, -79]
  Compare 6 and -19
  Swap 6 and -19
  List after swap: [-34, -11, -93, 0, -19, 6, -37, 47, -79]
  Compare 6 and -37
  Swap 6 and -37
  List after swap: [-34, -11, -93, 0, -19, -37, 6, 47, -79]
  Compare 6 and 47
  No swap needed
  Compare 47 and -79
  Swap 47 and -79
  List after swap: [-34, -11, -93, 0, -19, -37, 6, -79, 47]

Pass 2:
  Compare -34 and -11
  No swap needed
  Compare -11 and -93
  Swap -11 and -93
  List after swap: [-34, -93, -11, 0, -19, -37, 6, -79, 47]
  Compare -11 and 0
  No swap needed
  Compare 0 and -19
  Swap 0 and -19
  List after swap: [-34, -93, -11, -19, 0, -37, 6, -79, 47]
  Compare 0 and -37
  Swap 0 and -37
  List after swap: [-34, -93, -11, -19, -37, 0, 6, -79, 47]
  Compare 0 and 6
  No swap needed
  Compare 6 and -79
  Swap 6 and -79
  List after swap: [-34, -93, -11, -19, -37, 0, -79, 6, 47]

Pass 3:
  Compare -34 and -93
  Swap -34 and -93
  List after swap: [-93, -34, -11, -19, -37, 0, -79, 6, 47]
  Compare -34 and -11
  No swap needed
  Compare -11 and -19
  Swap -11 and -19
  List after swap: [-93, -34, -19, -11, -37, 0, -79, 6, 47]
  Compare -11 and -37
  Swap -11 and -37
  List after swap: [-93, -34, -19, -37, -11, 0, -79, 6, 47]
  Compare -11 and 0
  No swap needed
  Compare 0 and -79
  Swap 0 and -79
  List after swap: [-93, -34, -19, -37, -11, -79, 0, 6, 47]

Pass 4:
  Compare -93 and -34
  No swap needed
  Compare -34 and -19
  No swap needed
  Compare -19 and -37
  Swap -19 and -37
  List after swap: [-93, -34, -37, -19, -11, -79, 0, 6, 47]
  Compare -19 and -11
  No swap needed
  Compare -11 and -79
  Swap -11 and -79
  List after swap: [-93, -34, -37, -19, -79, -11, 0, 6, 47]

Pass 5:
  Compare -93 and -34
  No swap needed
  Compare -34 and -37
  Swap -34 and -37
  List after swap: [-93, -37, -34, -19, -79, -11, 0, 6, 47]
  Compare -34 and -19
  No swap needed
  Compare -19 and -79
  Swap -19 and -79
  List after swap: [-93, -37, -34, -79, -19, -11, 0, 6, 47]

Pass 6:
  Compare -93 and -37
  No swap needed
  Compare -37 and -34
  No swap needed
  Compare -34 and -79
  Swap -34 and -79
  List after swap: [-93, -37, -79, -34, -19, -11, 0, 6, 47]

Pass 7:
  Compare -93 and -37
  No swap needed
  Compare -37 and -79
  Swap -37 and -79
  List after swap: [-93, -79, -37, -34, -19, -11, 0, 6, 47]

Pass 8:
  Compare -93 and -79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -79, -37, -34, -19, -11, 0, 6, 47]
</think>

<response>-93, -79, -37, -34, -19, -11, 0, 6, 47</response>


input: Execute bubble sort to sort 92, -94, 79, 26, -95 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [92, -94, 79, 26, -95]

Pass 1:
  Compare 92 and -94
  Swap 92 and -94
  List after swap: [-94, 92, 79, 26, -95]
  Compare 92 and 79
  Swap 92 and 79
  List after swap: [-94, 79, 92, 26, -95]
  Compare 92 and 26
  Swap 92 and 26
  List after swap: [-94, 79, 26, 92, -95]
  Compare 92 and -95
  Swap 92 and -95
  List after swap: [-94, 79, 26, -95, 92]

Pass 2:
  Compare -94 and 79
  No swap needed
  Compare 79 and 26
  Swap 79 and 26
  List after swap: [-94, 26, 79, -95, 92]
  Compare 79 and -95
  Swap 79 and -95
  List after swap: [-94, 26, -95, 79, 92]

Pass 3:
  Compare -94 and 26
  No swap needed
  Compare 26 and -95
  Swap 26 and -95
  List after swap: [-94, -95, 26, 79, 92]

Pass 4:
  Compare -94 and -95
  Swap -94 and -95
  List after swap: [-95, -94, 26, 79, 92]

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

Final sorted list: [-95, -94, 26, 79, 92]
</think>

<response>-95, -94, 26, 79, 92</response>


input: Sort these integers -95, -63, 98, -4, -77, 3 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-95, -63, 98, -4, -77, 3]

Pass 1:
  Compare -95 and -63
  No swap needed
  Compare -63 and 98
  No swap needed
  Compare 98 and -4
  Swap 98 and -4
  List after swap: [-95, -63, -4, 98, -77, 3]
  Compare 98 and -77
  Swap 98 and -77
  List after swap: [-95, -63, -4, -77, 98, 3]
  Compare 98 and 3
  Swap 98 and 3
  List after swap: [-95, -63, -4, -77, 3, 98]

Pass 2:
  Compare -95 and -63
  No swap needed
  Compare -63 and -4
  No swap needed
  Compare -4 and -77
  Swap -4 and -77
  List after swap: [-95, -63, -77, -4, 3, 98]
  Compare -4 and 3
  No swap needed

Pass 3:
  Compare -95 and -63
  No swap needed
  Compare -63 and -77
  Swap -63 and -77
  List after swap: [-95, -77, -63, -4, 3, 98]
  Compare -63 and -4
  No swap needed

Pass 4:
  Compare -95 and -77
  No swap needed
  Compare -77 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -77, -63, -4, 3, 98]
</think>

<response>-95, -77, -63, -4, 3, 98</response>


input: Arrange the numbers -70, -28, 91 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-70, -28, 91]

Pass 1:
  Compare -70 and -28
  No swap needed
  Compare -28 and 91
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -28, 91]
</think>

<response>-70, -28, 91</response>


input: Demonstrate how bubble sort orders the integers -97, -66, 82, 91, 60, -88, -39 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-97, -66, 82, 91, 60, -88, -39]

Pass 1:
  Compare -97 and -66
  No swap needed
  Compare -66 and 82
  No swap needed
  Compare 82 and 91
  No swap needed
  Compare 91 and 60
  Swap 91 and 60
  List after swap: [-97, -66, 82, 60, 91, -88, -39]
  Compare 91 and -88
  Swap 91 and -88
  List after swap: [-97, -66, 82, 60, -88, 91, -39]
  Compare 91 and -39
  Swap 91 and -39
  List after swap: [-97, -66, 82, 60, -88, -39, 91]

Pass 2:
  Compare -97 and -66
  No swap needed
  Compare -66 and 82
  No swap needed
  Compare 82 and 60
  Swap 82 and 60
  List after swap: [-97, -66, 60, 82, -88, -39, 91]
  Compare 82 and -88
  Swap 82 and -88
  List after swap: [-97, -66, 60, -88, 82, -39, 91]
  Compare 82 and -39
  Swap 82 and -39
  List after swap: [-97, -66, 60, -88, -39, 82, 91]

Pass 3:
  Compare -97 and -66
  No swap needed
  Compare -66 and 60
  No swap needed
  Compare 60 and -88
  Swap 60 and -88
  List after swap: [-97, -66, -88, 60, -39, 82, 91]
  Compare 60 and -39
  Swap 60 and -39
  List after swap: [-97, -66, -88, -39, 60, 82, 91]

Pass 4:
  Compare -97 and -66
  No swap needed
  Compare -66 and -88
  Swap -66 and -88
  List after swap: [-97, -88, -66, -39, 60, 82, 91]
  Compare -66 and -39
  No swap needed

Pass 5:
  Compare -97 and -88
  No swap needed
  Compare -88 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -88, -66, -39, 60, 82, 91]
</think>

<response>-97, -88, -66, -39, 60, 82, 91</response>


input: Use the bubble sort technique to reorder 16, -23, -10, -59, -3, 37 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [16, -23, -10, -59, -3, 37]

Pass 1:
  Compare 16 and -23
  Swap 16 and -23
  List after swap: [-23, 16, -10, -59, -3, 37]
  Compare 16 and -10
  Swap 16 and -10
  List after swap: [-23, -10, 16, -59, -3, 37]
  Compare 16 and -59
  Swap 16 and -59
  List after swap: [-23, -10, -59, 16, -3, 37]
  Compare 16 and -3
  Swap 16 and -3
  List after swap: [-23, -10, -59, -3, 16, 37]
  Compare 16 and 37
  No swap needed

Pass 2:
  Compare -23 and -10
  No swap needed
  Compare -10 and -59
  Swap -10 and -59
  List after swap: [-23, -59, -10, -3, 16, 37]
  Compare -10 and -3
  No swap needed
  Compare -3 and 16
  No swap needed

Pass 3:
  Compare -23 and -59
  Swap -23 and -59
  List after swap: [-59, -23, -10, -3, 16, 37]
  Compare -23 and -10
  No swap needed
  Compare -10 and -3
  No swap needed

Pass 4:
  Compare -59 and -23
  No swap needed
  Compare -23 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, -23, -10, -3, 16, 37]
</think>

<response>-59, -23, -10, -3, 16, 37</response>


input: Perform a bubble sort on the integers 15, -13, 74, 46, -78, 60, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [15, -13, 74, 46, -78, 60]

Pass 1:
  Compare 15 and -13
  Swap 15 and -13
  List after swap: [-13, 15, 74, 46, -78, 60]
  Compare 15 and 74
  No swap needed
  Compare 74 and 46
  Swap 74 and 46
  List after swap: [-13, 15, 46, 74, -78, 60]
  Compare 74 and -78
  Swap 74 and -78
  List after swap: [-13, 15, 46, -78, 74, 60]
  Compare 74 and 60
  Swap 74 and 60
  List after swap: [-13, 15, 46, -78, 60, 74]

Pass 2:
  Compare -13 and 15
  No swap needed
  Compare 15 and 46
  No swap needed
  Compare 46 and -78
  Swap 46 and -78
  List after swap: [-13, 15, -78, 46, 60, 74]
  Compare 46 and 60
  No swap needed

Pass 3:
  Compare -13 and 15
  No swap needed
  Compare 15 and -78
  Swap 15 and -78
  List after swap: [-13, -78, 15, 46, 60, 74]
  Compare 15 and 46
  No swap needed

Pass 4:
  Compare -13 and -78
  Swap -13 and -78
  List after swap: [-78, -13, 15, 46, 60, 74]
  Compare -13 and 15
  No swap needed

Pass 5:
  Compare -78 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -13, 15, 46, 60, 74]
</think>

<response>-78, -13, 15, 46, 60, 74</response>


input: Perform a bubble sort on the integers 37, 41, 75, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [37, 41, 75]

Pass 1:
  Compare 37 and 41
  No swap needed
  Compare 41 and 75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [37, 41, 75]
</think>

<response>37, 41, 75</response>


input: Use the bubble sort technique to reorder 63, 62, -38, 98, 73, 58, 95 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [63, 62, -38, 98, 73, 58, 95]

Pass 1:
  Compare 63 and 62
  Swap 63 and 62
  List after swap: [62, 63, -38, 98, 73, 58, 95]
  Compare 63 and -38
  Swap 63 and -38
  List after swap: [62, -38, 63, 98, 73, 58, 95]
  Compare 63 and 98
  No swap needed
  Compare 98 and 73
  Swap 98 and 73
  List after swap: [62, -38, 63, 73, 98, 58, 95]
  Compare 98 and 58
  Swap 98 and 58
  List after swap: [62, -38, 63, 73, 58, 98, 95]
  Compare 98 and 95
  Swap 98 and 95
  List after swap: [62, -38, 63, 73, 58, 95, 98]

Pass 2:
  Compare 62 and -38
  Swap 62 and -38
  List after swap: [-38, 62, 63, 73, 58, 95, 98]
  Compare 62 and 63
  No swap needed
  Compare 63 and 73
  No swap needed
  Compare 73 and 58
  Swap 73 and 58
  List after swap: [-38, 62, 63, 58, 73, 95, 98]
  Compare 73 and 95
  No swap needed

Pass 3:
  Compare -38 and 62
  No swap needed
  Compare 62 and 63
  No swap needed
  Compare 63 and 58
  Swap 63 and 58
  List after swap: [-38, 62, 58, 63, 73, 95, 98]
  Compare 63 and 73
  No swap needed

Pass 4:
  Compare -38 and 62
  No swap needed
  Compare 62 and 58
  Swap 62 and 58
  List after swap: [-38, 58, 62, 63, 73, 95, 98]
  Compare 62 and 63
  No swap needed

Pass 5:
  Compare -38 and 58
  No swap needed
  Compare 58 and 62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-38, 58, 62, 63, 73, 95, 98]
</think>

<response>-38, 58, 62, 63, 73, 95, 98</response>


input: Sort the list -38, 78, -70, 21, -35, 0, -21 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-38, 78, -70, 21, -35, 0, -21]

Pass 1:
  Compare -38 and 78
  No swap needed
  Compare 78 and -70
  Swap 78 and -70
  List after swap: [-38, -70, 78, 21, -35, 0, -21]
  Compare 78 and 21
  Swap 78 and 21
  List after swap: [-38, -70, 21, 78, -35, 0, -21]
  Compare 78 and -35
  Swap 78 and -35
  List after swap: [-38, -70, 21, -35, 78, 0, -21]
  Compare 78 and 0
  Swap 78 and 0
  List after swap: [-38, -70, 21, -35, 0, 78, -21]
  Compare 78 and -21
  Swap 78 and -21
  List after swap: [-38, -70, 21, -35, 0, -21, 78]

Pass 2:
  Compare -38 and -70
  Swap -38 and -70
  List after swap: [-70, -38, 21, -35, 0, -21, 78]
  Compare -38 and 21
  No swap needed
  Compare 21 and -35
  Swap 21 and -35
  List after swap: [-70, -38, -35, 21, 0, -21, 78]
  Compare 21 and 0
  Swap 21 and 0
  List after swap: [-70, -38, -35, 0, 21, -21, 78]
  Compare 21 and -21
  Swap 21 and -21
  List after swap: [-70, -38, -35, 0, -21, 21, 78]

Pass 3:
  Compare -70 and -38
  No swap needed
  Compare -38 and -35
  No swap needed
  Compare -35 and 0
  No swap needed
  Compare 0 and -21
  Swap 0 and -21
  List after swap: [-70, -38, -35, -21, 0, 21, 78]

Pass 4:
  Compare -70 and -38
  No swap needed
  Compare -38 and -35
  No swap needed
  Compare -35 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -38, -35, -21, 0, 21, 78]
</think>

<response>-70, -38, -35, -21, 0, 21, 78</response>


input: Perform a bubble sort on the integers -68, 70, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-68, 70]

Pass 1:
  Compare -68 and 70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, 70]
</think>

<response>-68, 70</response>


input: Using the bubble sort method, sort 34, -27, -35, 13, 38, -10, 23, 39 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [34, -27, -35, 13, 38, -10, 23, 39]

Pass 1:
  Compare 34 and -27
  Swap 34 and -27
  List after swap: [-27, 34, -35, 13, 38, -10, 23, 39]
  Compare 34 and -35
  Swap 34 and -35
  List after swap: [-27, -35, 34, 13, 38, -10, 23, 39]
  Compare 34 and 13
  Swap 34 and 13
  List after swap: [-27, -35, 13, 34, 38, -10, 23, 39]
  Compare 34 and 38
  No swap needed
  Compare 38 and -10
  Swap 38 and -10
  List after swap: [-27, -35, 13, 34, -10, 38, 23, 39]
  Compare 38 and 23
  Swap 38 and 23
  List after swap: [-27, -35, 13, 34, -10, 23, 38, 39]
  Compare 38 and 39
  No swap needed

Pass 2:
  Compare -27 and -35
  Swap -27 and -35
  List after swap: [-35, -27, 13, 34, -10, 23, 38, 39]
  Compare -27 and 13
  No swap needed
  Compare 13 and 34
  No swap needed
  Compare 34 and -10
  Swap 34 and -10
  List after swap: [-35, -27, 13, -10, 34, 23, 38, 39]
  Compare 34 and 23
  Swap 34 and 23
  List after swap: [-35, -27, 13, -10, 23, 34, 38, 39]
  Compare 34 and 38
  No swap needed

Pass 3:
  Compare -35 and -27
  No swap needed
  Compare -27 and 13
  No swap needed
  Compare 13 and -10
  Swap 13 and -10
  List after swap: [-35, -27, -10, 13, 23, 34, 38, 39]
  Compare 13 and 23
  No swap needed
  Compare 23 and 34
  No swap needed

Pass 4:
  Compare -35 and -27
  No swap needed
  Compare -27 and -10
  No swap needed
  Compare -10 and 13
  No swap needed
  Compare 13 and 23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-35, -27, -10, 13, 23, 34, 38, 39]
</think>

<response>-35, -27, -10, 13, 23, 34, 38, 39</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -87, -21, -78, -48, 82, -94, 48, -8.

output:
<think>
Initial list: [-87, -21, -78, -48, 82, -94, 48, -8]

Pass 1:
  Compare -87 and -21
  No swap needed
  Compare -21 and -78
  Swap -21 and -78
  List after swap: [-87, -78, -21, -48, 82, -94, 48, -8]
  Compare -21 and -48
  Swap -21 and -48
  List after swap: [-87, -78, -48, -21, 82, -94, 48, -8]
  Compare -21 and 82
  No swap needed
  Compare 82 and -94
  Swap 82 and -94
  List after swap: [-87, -78, -48, -21, -94, 82, 48, -8]
  Compare 82 and 48
  Swap 82 and 48
  List after swap: [-87, -78, -48, -21, -94, 48, 82, -8]
  Compare 82 and -8
  Swap 82 and -8
  List after swap: [-87, -78, -48, -21, -94, 48, -8, 82]

Pass 2:
  Compare -87 and -78
  No swap needed
  Compare -78 and -48
  No swap needed
  Compare -48 and -21
  No swap needed
  Compare -21 and -94
  Swap -21 and -94
  List after swap: [-87, -78, -48, -94, -21, 48, -8, 82]
  Compare -21 and 48
  No swap needed
  Compare 48 and -8
  Swap 48 and -8
  List after swap: [-87, -78, -48, -94, -21, -8, 48, 82]

Pass 3:
  Compare -87 and -78
  No swap needed
  Compare -78 and -48
  No swap needed
  Compare -48 and -94
  Swap -48 and -94
  List after swap: [-87, -78, -94, -48, -21, -8, 48, 82]
  Compare -48 and -21
  No swap needed
  Compare -21 and -8
  No swap needed

Pass 4:
  Compare -87 and -78
  No swap needed
  Compare -78 and -94
  Swap -78 and -94
  List after swap: [-87, -94, -78, -48, -21, -8, 48, 82]
  Compare -78 and -48
  No swap needed
  Compare -48 and -21
  No swap needed

Pass 5:
  Compare -87 and -94
  Swap -87 and -94
  List after swap: [-94, -87, -78, -48, -21, -8, 48, 82]
  Compare -87 and -78
  No swap needed
  Compare -78 and -48
  No swap needed

Pass 6:
  Compare -94 and -87
  No swap needed
  Compare -87 and -78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -87, -78, -48, -21, -8, 48, 82]
</think>

<response>-94, -87, -78, -48, -21, -8, 48, 82</response>


input: Demonstrate how bubble sort orders the integers -52, -12, 21, -22, -41, 75, -6, -62, 12 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-52, -12, 21, -22, -41, 75, -6, -62, 12]

Pass 1:
  Compare -52 and -12
  No swap needed
  Compare -12 and 21
  No swap needed
  Compare 21 and -22
  Swap 21 and -22
  List after swap: [-52, -12, -22, 21, -41, 75, -6, -62, 12]
  Compare 21 and -41
  Swap 21 and -41
  List after swap: [-52, -12, -22, -41, 21, 75, -6, -62, 12]
  Compare 21 and 75
  No swap needed
  Compare 75 and -6
  Swap 75 and -6
  List after swap: [-52, -12, -22, -41, 21, -6, 75, -62, 12]
  Compare 75 and -62
  Swap 75 and -62
  List after swap: [-52, -12, -22, -41, 21, -6, -62, 75, 12]
  Compare 75 and 12
  Swap 75 and 12
  List after swap: [-52, -12, -22, -41, 21, -6, -62, 12, 75]

Pass 2:
  Compare -52 and -12
  No swap needed
  Compare -12 and -22
  Swap -12 and -22
  List after swap: [-52, -22, -12, -41, 21, -6, -62, 12, 75]
  Compare -12 and -41
  Swap -12 and -41
  List after swap: [-52, -22, -41, -12, 21, -6, -62, 12, 75]
  Compare -12 and 21
  No swap needed
  Compare 21 and -6
  Swap 21 and -6
  List after swap: [-52, -22, -41, -12, -6, 21, -62, 12, 75]
  Compare 21 and -62
  Swap 21 and -62
  List after swap: [-52, -22, -41, -12, -6, -62, 21, 12, 75]
  Compare 21 and 12
  Swap 21 and 12
  List after swap: [-52, -22, -41, -12, -6, -62, 12, 21, 75]

Pass 3:
  Compare -52 and -22
  No swap needed
  Compare -22 and -41
  Swap -22 and -41
  List after swap: [-52, -41, -22, -12, -6, -62, 12, 21, 75]
  Compare -22 and -12
  No swap needed
  Compare -12 and -6
  No swap needed
  Compare -6 and -62
  Swap -6 and -62
  List after swap: [-52, -41, -22, -12, -62, -6, 12, 21, 75]
  Compare -6 and 12
  No swap needed

Pass 4:
  Compare -52 and -41
  No swap needed
  Compare -41 and -22
  No swap needed
  Compare -22 and -12
  No swap needed
  Compare -12 and -62
  Swap -12 and -62
  List after swap: [-52, -41, -22, -62, -12, -6, 12, 21, 75]
  Compare -12 and -6
  No swap needed

Pass 5:
  Compare -52 and -41
  No swap needed
  Compare -41 and -22
  No swap needed
  Compare -22 and -62
  Swap -22 and -62
  List after swap: [-52, -41, -62, -22, -12, -6, 12, 21, 75]
  Compare -22 and -12
  No swap needed

Pass 6:
  Compare -52 and -41
  No swap needed
  Compare -41 and -62
  Swap -41 and -62
  List after swap: [-52, -62, -41, -22, -12, -6, 12, 21, 75]
  Compare -41 and -22
  No swap needed

Pass 7:
  Compare -52 and -62
  Swap -52 and -62
  List after swap: [-62, -52, -41, -22, -12, -6, 12, 21, 75]
  Compare -52 and -41
  No swap needed

Pass 8:
  Compare -62 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -52, -41, -22, -12, -6, 12, 21, 75]
</think>

<response>-62, -52, -41, -22, -12, -6, 12, 21, 75</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 60, 19, 18, -58, 3, 68, 78, 6, 38, -46.

output:
<think>
Initial list: [60, 19, 18, -58, 3, 68, 78, 6, 38, -46]

Pass 1:
  Compare 60 and 19
  Swap 60 and 19
  List after swap: [19, 60, 18, -58, 3, 68, 78, 6, 38, -46]
  Compare 60 and 18
  Swap 60 and 18
  List after swap: [19, 18, 60, -58, 3, 68, 78, 6, 38, -46]
  Compare 60 and -58
  Swap 60 and -58
  List after swap: [19, 18, -58, 60, 3, 68, 78, 6, 38, -46]
  Compare 60 and 3
  Swap 60 and 3
  List after swap: [19, 18, -58, 3, 60, 68, 78, 6, 38, -46]
  Compare 60 and 68
  No swap needed
  Compare 68 and 78
  No swap needed
  Compare 78 and 6
  Swap 78 and 6
  List after swap: [19, 18, -58, 3, 60, 68, 6, 78, 38, -46]
  Compare 78 and 38
  Swap 78 and 38
  List after swap: [19, 18, -58, 3, 60, 68, 6, 38, 78, -46]
  Compare 78 and -46
  Swap 78 and -46
  List after swap: [19, 18, -58, 3, 60, 68, 6, 38, -46, 78]

Pass 2:
  Compare 19 and 18
  Swap 19 and 18
  List after swap: [18, 19, -58, 3, 60, 68, 6, 38, -46, 78]
  Compare 19 and -58
  Swap 19 and -58
  List after swap: [18, -58, 19, 3, 60, 68, 6, 38, -46, 78]
  Compare 19 and 3
  Swap 19 and 3
  List after swap: [18, -58, 3, 19, 60, 68, 6, 38, -46, 78]
  Compare 19 and 60
  No swap needed
  Compare 60 and 68
  No swap needed
  Compare 68 and 6
  Swap 68 and 6
  List after swap: [18, -58, 3, 19, 60, 6, 68, 38, -46, 78]
  Compare 68 and 38
  Swap 68 and 38
  List after swap: [18, -58, 3, 19, 60, 6, 38, 68, -46, 78]
  Compare 68 and -46
  Swap 68 and -46
  List after swap: [18, -58, 3, 19, 60, 6, 38, -46, 68, 78]

Pass 3:
  Compare 18 and -58
  Swap 18 and -58
  List after swap: [-58, 18, 3, 19, 60, 6, 38, -46, 68, 78]
  Compare 18 and 3
  Swap 18 and 3
  List after swap: [-58, 3, 18, 19, 60, 6, 38, -46, 68, 78]
  Compare 18 and 19
  No swap needed
  Compare 19 and 60
  No swap needed
  Compare 60 and 6
  Swap 60 and 6
  List after swap: [-58, 3, 18, 19, 6, 60, 38, -46, 68, 78]
  Compare 60 and 38
  Swap 60 and 38
  List after swap: [-58, 3, 18, 19, 6, 38, 60, -46, 68, 78]
  Compare 60 and -46
  Swap 60 and -46
  List after swap: [-58, 3, 18, 19, 6, 38, -46, 60, 68, 78]

Pass 4:
  Compare -58 and 3
  No swap needed
  Compare 3 and 18
  No swap needed
  Compare 18 and 19
  No swap needed
  Compare 19 and 6
  Swap 19 and 6
  List after swap: [-58, 3, 18, 6, 19, 38, -46, 60, 68, 78]
  Compare 19 and 38
  No swap needed
  Compare 38 and -46
  Swap 38 and -46
  List after swap: [-58, 3, 18, 6, 19, -46, 38, 60, 68, 78]

Pass 5:
  Compare -58 and 3
  No swap needed
  Compare 3 and 18
  No swap needed
  Compare 18 and 6
  Swap 18 and 6
  List after swap: [-58, 3, 6, 18, 19, -46, 38, 60, 68, 78]
  Compare 18 and 19
  No swap needed
  Compare 19 and -46
  Swap 19 and -46
  List after swap: [-58, 3, 6, 18, -46, 19, 38, 60, 68, 78]

Pass 6:
  Compare -58 and 3
  No swap needed
  Compare 3 and 6
  No swap needed
  Compare 6 and 18
  No swap needed
  Compare 18 and -46
  Swap 18 and -46
  List after swap: [-58, 3, 6, -46, 18, 19, 38, 60, 68, 78]

Pass 7:
  Compare -58 and 3
  No swap needed
  Compare 3 and 6
  No swap needed
  Compare 6 and -46
  Swap 6 and -46
  List after swap: [-58, 3, -46, 6, 18, 19, 38, 60, 68, 78]

Pass 8:
  Compare -58 and 3
  No swap needed
  Compare 3 and -46
  Swap 3 and -46
  List after swap: [-58, -46, 3, 6, 18, 19, 38, 60, 68, 78]

Pass 9:
  Compare -58 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -46, 3, 6, 18, 19, 38, 60, 68, 78]
</think>

<response>-58, -46, 3, 6, 18, 19, 38, 60, 68, 78</response>


input: Use the bubble sort technique to reorder -1, -34, 35, 94, 56, -83 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-1, -34, 35, 94, 56, -83]

Pass 1:
  Compare -1 and -34
  Swap -1 and -34
  List after swap: [-34, -1, 35, 94, 56, -83]
  Compare -1 and 35
  No swap needed
  Compare 35 and 94
  No swap needed
  Compare 94 and 56
  Swap 94 and 56
  List after swap: [-34, -1, 35, 56, 94, -83]
  Compare 94 and -83
  Swap 94 and -83
  List after swap: [-34, -1, 35, 56, -83, 94]

Pass 2:
  Compare -34 and -1
  No swap needed
  Compare -1 and 35
  No swap needed
  Compare 35 and 56
  No swap needed
  Compare 56 and -83
  Swap 56 and -83
  List after swap: [-34, -1, 35, -83, 56, 94]

Pass 3:
  Compare -34 and -1
  No swap needed
  Compare -1 and 35
  No swap needed
  Compare 35 and -83
  Swap 35 and -83
  List after swap: [-34, -1, -83, 35, 56, 94]

Pass 4:
  Compare -34 and -1
  No swap needed
  Compare -1 and -83
  Swap -1 and -83
  List after swap: [-34, -83, -1, 35, 56, 94]

Pass 5:
  Compare -34 and -83
  Swap -34 and -83
  List after swap: [-83, -34, -1, 35, 56, 94]

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

Final sorted list: [-83, -34, -1, 35, 56, 94]
</think>

<response>-83, -34, -1, 35, 56, 94</response>


input: Carry out the bubble sort algorithm on 40, -84, -81, -21, 78, -19, -24, 87, -68 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [40, -84, -81, -21, 78, -19, -24, 87, -68]

Pass 1:
  Compare 40 and -84
  Swap 40 and -84
  List after swap: [-84, 40, -81, -21, 78, -19, -24, 87, -68]
  Compare 40 and -81
  Swap 40 and -81
  List after swap: [-84, -81, 40, -21, 78, -19, -24, 87, -68]
  Compare 40 and -21
  Swap 40 and -21
  List after swap: [-84, -81, -21, 40, 78, -19, -24, 87, -68]
  Compare 40 and 78
  No swap needed
  Compare 78 and -19
  Swap 78 and -19
  List after swap: [-84, -81, -21, 40, -19, 78, -24, 87, -68]
  Compare 78 and -24
  Swap 78 and -24
  List after swap: [-84, -81, -21, 40, -19, -24, 78, 87, -68]
  Compare 78 and 87
  No swap needed
  Compare 87 and -68
  Swap 87 and -68
  List after swap: [-84, -81, -21, 40, -19, -24, 78, -68, 87]

Pass 2:
  Compare -84 and -81
  No swap needed
  Compare -81 and -21
  No swap needed
  Compare -21 and 40
  No swap needed
  Compare 40 and -19
  Swap 40 and -19
  List after swap: [-84, -81, -21, -19, 40, -24, 78, -68, 87]
  Compare 40 and -24
  Swap 40 and -24
  List after swap: [-84, -81, -21, -19, -24, 40, 78, -68, 87]
  Compare 40 and 78
  No swap needed
  Compare 78 and -68
  Swap 78 and -68
  List after swap: [-84, -81, -21, -19, -24, 40, -68, 78, 87]

Pass 3:
  Compare -84 and -81
  No swap needed
  Compare -81 and -21
  No swap needed
  Compare -21 and -19
  No swap needed
  Compare -19 and -24
  Swap -19 and -24
  List after swap: [-84, -81, -21, -24, -19, 40, -68, 78, 87]
  Compare -19 and 40
  No swap needed
  Compare 40 and -68
  Swap 40 and -68
  List after swap: [-84, -81, -21, -24, -19, -68, 40, 78, 87]

Pass 4:
  Compare -84 and -81
  No swap needed
  Compare -81 and -21
  No swap needed
  Compare -21 and -24
  Swap -21 and -24
  List after swap: [-84, -81, -24, -21, -19, -68, 40, 78, 87]
  Compare -21 and -19
  No swap needed
  Compare -19 and -68
  Swap -19 and -68
  List after swap: [-84, -81, -24, -21, -68, -19, 40, 78, 87]

Pass 5:
  Compare -84 and -81
  No swap needed
  Compare -81 and -24
  No swap needed
  Compare -24 and -21
  No swap needed
  Compare -21 and -68
  Swap -21 and -68
  List after swap: [-84, -81, -24, -68, -21, -19, 40, 78, 87]

Pass 6:
  Compare -84 and -81
  No swap needed
  Compare -81 and -24
  No swap needed
  Compare -24 and -68
  Swap -24 and -68
  List after swap: [-84, -81, -68, -24, -21, -19, 40, 78, 87]

Pass 7:
  Compare -84 and -81
  No swap needed
  Compare -81 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -81, -68, -24, -21, -19, 40, 78, 87]
</think>

<response>-84, -81, -68, -24, -21, -19, 40, 78, 87</response>


input: Sort these integers -2, -42, 9, 8, 45, -18, -45, -34, 40, 77 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-2, -42, 9, 8, 45, -18, -45, -34, 40, 77]

Pass 1:
  Compare -2 and -42
  Swap -2 and -42
  List after swap: [-42, -2, 9, 8, 45, -18, -45, -34, 40, 77]
  Compare -2 and 9
  No swap needed
  Compare 9 and 8
  Swap 9 and 8
  List after swap: [-42, -2, 8, 9, 45, -18, -45, -34, 40, 77]
  Compare 9 and 45
  No swap needed
  Compare 45 and -18
  Swap 45 and -18
  List after swap: [-42, -2, 8, 9, -18, 45, -45, -34, 40, 77]
  Compare 45 and -45
  Swap 45 and -45
  List after swap: [-42, -2, 8, 9, -18, -45, 45, -34, 40, 77]
  Compare 45 and -34
  Swap 45 and -34
  List after swap: [-42, -2, 8, 9, -18, -45, -34, 45, 40, 77]
  Compare 45 and 40
  Swap 45 and 40
  List after swap: [-42, -2, 8, 9, -18, -45, -34, 40, 45, 77]
  Compare 45 and 77
  No swap needed

Pass 2:
  Compare -42 and -2
  No swap needed
  Compare -2 and 8
  No swap needed
  Compare 8 and 9
  No swap needed
  Compare 9 and -18
  Swap 9 and -18
  List after swap: [-42, -2, 8, -18, 9, -45, -34, 40, 45, 77]
  Compare 9 and -45
  Swap 9 and -45
  List after swap: [-42, -2, 8, -18, -45, 9, -34, 40, 45, 77]
  Compare 9 and -34
  Swap 9 and -34
  List after swap: [-42, -2, 8, -18, -45, -34, 9, 40, 45, 77]
  Compare 9 and 40
  No swap needed
  Compare 40 and 45
  No swap needed

Pass 3:
  Compare -42 and -2
  No swap needed
  Compare -2 and 8
  No swap needed
  Compare 8 and -18
  Swap 8 and -18
  List after swap: [-42, -2, -18, 8, -45, -34, 9, 40, 45, 77]
  Compare 8 and -45
  Swap 8 and -45
  List after swap: [-42, -2, -18, -45, 8, -34, 9, 40, 45, 77]
  Compare 8 and -34
  Swap 8 and -34
  List after swap: [-42, -2, -18, -45, -34, 8, 9, 40, 45, 77]
  Compare 8 and 9
  No swap needed
  Compare 9 and 40
  No swap needed

Pass 4:
  Compare -42 and -2
  No swap needed
  Compare -2 and -18
  Swap -2 and -18
  List after swap: [-42, -18, -2, -45, -34, 8, 9, 40, 45, 77]
  Compare -2 and -45
  Swap -2 and -45
  List after swap: [-42, -18, -45, -2, -34, 8, 9, 40, 45, 77]
  Compare -2 and -34
  Swap -2 and -34
  List after swap: [-42, -18, -45, -34, -2, 8, 9, 40, 45, 77]
  Compare -2 and 8
  No swap needed
  Compare 8 and 9
  No swap needed

Pass 5:
  Compare -42 and -18
  No swap needed
  Compare -18 and -45
  Swap -18 and -45
  List after swap: [-42, -45, -18, -34, -2, 8, 9, 40, 45, 77]
  Compare -18 and -34
  Swap -18 and -34
  List after swap: [-42, -45, -34, -18, -2, 8, 9, 40, 45, 77]
  Compare -18 and -2
  No swap needed
  Compare -2 and 8
  No swap needed

Pass 6:
  Compare -42 and -45
  Swap -42 and -45
  List after swap: [-45, -42, -34, -18, -2, 8, 9, 40, 45, 77]
  Compare -42 and -34
  No swap needed
  Compare -34 and -18
  No swap needed
  Compare -18 and -2
  No swap needed

Pass 7:
  Compare -45 and -42
  No swap needed
  Compare -42 and -34
  No swap needed
  Compare -34 and -18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-45, -42, -34, -18, -2, 8, 9, 40, 45, 77]
</think>

<response>-45, -42, -34, -18, -2, 8, 9, 40, 45, 77</response>


input: Sort the list -20, 90, -25 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-20, 90, -25]

Pass 1:
  Compare -20 and 90
  No swap needed
  Compare 90 and -25
  Swap 90 and -25
  List after swap: [-20, -25, 90]

Pass 2:
  Compare -20 and -25
  Swap -20 and -25
  List after swap: [-25, -20, 90]

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

Final sorted list: [-25, -20, 90]
</think>

<response>-25, -20, 90</response>


input: Use the bubble sort technique to reorder -73, 97 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-73, 97]

Pass 1:
  Compare -73 and 97
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, 97]
</think>

<response>-73, 97</response>


input: Arrange the numbers 37, 52, -94, -84, 53, -71 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [37, 52, -94, -84, 53, -71]

Pass 1:
  Compare 37 and 52
  No swap needed
  Compare 52 and -94
  Swap 52 and -94
  List after swap: [37, -94, 52, -84, 53, -71]
  Compare 52 and -84
  Swap 52 and -84
  List after swap: [37, -94, -84, 52, 53, -71]
  Compare 52 and 53
  No swap needed
  Compare 53 and -71
  Swap 53 and -71
  List after swap: [37, -94, -84, 52, -71, 53]

Pass 2:
  Compare 37 and -94
  Swap 37 and -94
  List after swap: [-94, 37, -84, 52, -71, 53]
  Compare 37 and -84
  Swap 37 and -84
  List after swap: [-94, -84, 37, 52, -71, 53]
  Compare 37 and 52
  No swap needed
  Compare 52 and -71
  Swap 52 and -71
  List after swap: [-94, -84, 37, -71, 52, 53]

Pass 3:
  Compare -94 and -84
  No swap needed
  Compare -84 and 37
  No swap needed
  Compare 37 and -71
  Swap 37 and -71
  List after swap: [-94, -84, -71, 37, 52, 53]

Pass 4:
  Compare -94 and -84
  No swap needed
  Compare -84 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -84, -71, 37, 52, 53]
</think>

<response>-94, -84, -71, 37, 52, 53</response>


input: Implement bubble sort on -85, 72, 71, 23 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-85, 72, 71, 23]

Pass 1:
  Compare -85 and 72
  No swap needed
  Compare 72 and 71
  Swap 72 and 71
  List after swap: [-85, 71, 72, 23]
  Compare 72 and 23
  Swap 72 and 23
  List after swap: [-85, 71, 23, 72]

Pass 2:
  Compare -85 and 71
  No swap needed
  Compare 71 and 23
  Swap 71 and 23
  List after swap: [-85, 23, 71, 72]

Pass 3:
  Compare -85 and 23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, 23, 71, 72]
</think>

<response>-85, 23, 71, 72</response>


input: Using the bubble sort method, sort 58, -78, -43, 88, 63, -11, 53 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [58, -78, -43, 88, 63, -11, 53]

Pass 1:
  Compare 58 and -78
  Swap 58 and -78
  List after swap: [-78, 58, -43, 88, 63, -11, 53]
  Compare 58 and -43
  Swap 58 and -43
  List after swap: [-78, -43, 58, 88, 63, -11, 53]
  Compare 58 and 88
  No swap needed
  Compare 88 and 63
  Swap 88 and 63
  List after swap: [-78, -43, 58, 63, 88, -11, 53]
  Compare 88 and -11
  Swap 88 and -11
  List after swap: [-78, -43, 58, 63, -11, 88, 53]
  Compare 88 and 53
  Swap 88 and 53
  List after swap: [-78, -43, 58, 63, -11, 53, 88]

Pass 2:
  Compare -78 and -43
  No swap needed
  Compare -43 and 58
  No swap needed
  Compare 58 and 63
  No swap needed
  Compare 63 and -11
  Swap 63 and -11
  List after swap: [-78, -43, 58, -11, 63, 53, 88]
  Compare 63 and 53
  Swap 63 and 53
  List after swap: [-78, -43, 58, -11, 53, 63, 88]

Pass 3:
  Compare -78 and -43
  No swap needed
  Compare -43 and 58
  No swap needed
  Compare 58 and -11
  Swap 58 and -11
  List after swap: [-78, -43, -11, 58, 53, 63, 88]
  Compare 58 and 53
  Swap 58 and 53
  List after swap: [-78, -43, -11, 53, 58, 63, 88]

Pass 4:
  Compare -78 and -43
  No swap needed
  Compare -43 and -11
  No swap needed
  Compare -11 and 53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -43, -11, 53, 58, 63, 88]
</think>

<response>-78, -43, -11, 53, 58, 63, 88</response>


input: Sort these integers -93, -99, 6, -25, 67, -83, 21, -62 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-93, -99, 6, -25, 67, -83, 21, -62]

Pass 1:
  Compare -93 and -99
  Swap -93 and -99
  List after swap: [-99, -93, 6, -25, 67, -83, 21, -62]
  Compare -93 and 6
  No swap needed
  Compare 6 and -25
  Swap 6 and -25
  List after swap: [-99, -93, -25, 6, 67, -83, 21, -62]
  Compare 6 and 67
  No swap needed
  Compare 67 and -83
  Swap 67 and -83
  List after swap: [-99, -93, -25, 6, -83, 67, 21, -62]
  Compare 67 and 21
  Swap 67 and 21
  List after swap: [-99, -93, -25, 6, -83, 21, 67, -62]
  Compare 67 and -62
  Swap 67 and -62
  List after swap: [-99, -93, -25, 6, -83, 21, -62, 67]

Pass 2:
  Compare -99 and -93
  No swap needed
  Compare -93 and -25
  No swap needed
  Compare -25 and 6
  No swap needed
  Compare 6 and -83
  Swap 6 and -83
  List after swap: [-99, -93, -25, -83, 6, 21, -62, 67]
  Compare 6 and 21
  No swap needed
  Compare 21 and -62
  Swap 21 and -62
  List after swap: [-99, -93, -25, -83, 6, -62, 21, 67]

Pass 3:
  Compare -99 and -93
  No swap needed
  Compare -93 and -25
  No swap needed
  Compare -25 and -83
  Swap -25 and -83
  List after swap: [-99, -93, -83, -25, 6, -62, 21, 67]
  Compare -25 and 6
  No swap needed
  Compare 6 and -62
  Swap 6 and -62
  List after swap: [-99, -93, -83, -25, -62, 6, 21, 67]

Pass 4:
  Compare -99 and -93
  No swap needed
  Compare -93 and -83
  No swap needed
  Compare -83 and -25
  No swap needed
  Compare -25 and -62
  Swap -25 and -62
  List after swap: [-99, -93, -83, -62, -25, 6, 21, 67]

Pass 5:
  Compare -99 and -93
  No swap needed
  Compare -93 and -83
  No swap needed
  Compare -83 and -62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -93, -83, -62, -25, 6, 21, 67]
</think>

<response>-99, -93, -83, -62, -25, 6, 21, 67</response>


input: Implement bubble sort on -61, -28, 71, 3, 32, 6, -17, -7, -58 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-61, -28, 71, 3, 32, 6, -17, -7, -58]

Pass 1:
  Compare -61 and -28
  No swap needed
  Compare -28 and 71
  No swap needed
  Compare 71 and 3
  Swap 71 and 3
  List after swap: [-61, -28, 3, 71, 32, 6, -17, -7, -58]
  Compare 71 and 32
  Swap 71 and 32
  List after swap: [-61, -28, 3, 32, 71, 6, -17, -7, -58]
  Compare 71 and 6
  Swap 71 and 6
  List after swap: [-61, -28, 3, 32, 6, 71, -17, -7, -58]
  Compare 71 and -17
  Swap 71 and -17
  List after swap: [-61, -28, 3, 32, 6, -17, 71, -7, -58]
  Compare 71 and -7
  Swap 71 and -7
  List after swap: [-61, -28, 3, 32, 6, -17, -7, 71, -58]
  Compare 71 and -58
  Swap 71 and -58
  List after swap: [-61, -28, 3, 32, 6, -17, -7, -58, 71]

Pass 2:
  Compare -61 and -28
  No swap needed
  Compare -28 and 3
  No swap needed
  Compare 3 and 32
  No swap needed
  Compare 32 and 6
  Swap 32 and 6
  List after swap: [-61, -28, 3, 6, 32, -17, -7, -58, 71]
  Compare 32 and -17
  Swap 32 and -17
  List after swap: [-61, -28, 3, 6, -17, 32, -7, -58, 71]
  Compare 32 and -7
  Swap 32 and -7
  List after swap: [-61, -28, 3, 6, -17, -7, 32, -58, 71]
  Compare 32 and -58
  Swap 32 and -58
  List after swap: [-61, -28, 3, 6, -17, -7, -58, 32, 71]

Pass 3:
  Compare -61 and -28
  No swap needed
  Compare -28 and 3
  No swap needed
  Compare 3 and 6
  No swap needed
  Compare 6 and -17
  Swap 6 and -17
  List after swap: [-61, -28, 3, -17, 6, -7, -58, 32, 71]
  Compare 6 and -7
  Swap 6 and -7
  List after swap: [-61, -28, 3, -17, -7, 6, -58, 32, 71]
  Compare 6 and -58
  Swap 6 and -58
  List after swap: [-61, -28, 3, -17, -7, -58, 6, 32, 71]

Pass 4:
  Compare -61 and -28
  No swap needed
  Compare -28 and 3
  No swap needed
  Compare 3 and -17
  Swap 3 and -17
  List after swap: [-61, -28, -17, 3, -7, -58, 6, 32, 71]
  Compare 3 and -7
  Swap 3 and -7
  List after swap: [-61, -28, -17, -7, 3, -58, 6, 32, 71]
  Compare 3 and -58
  Swap 3 and -58
  List after swap: [-61, -28, -17, -7, -58, 3, 6, 32, 71]

Pass 5:
  Compare -61 and -28
  No swap needed
  Compare -28 and -17
  No swap needed
  Compare -17 and -7
  No swap needed
  Compare -7 and -58
  Swap -7 and -58
  List after swap: [-61, -28, -17, -58, -7, 3, 6, 32, 71]

Pass 6:
  Compare -61 and -28
  No swap needed
  Compare -28 and -17
  No swap needed
  Compare -17 and -58
  Swap -17 and -58
  List after swap: [-61, -28, -58, -17, -7, 3, 6, 32, 71]

Pass 7:
  Compare -61 and -28
  No swap needed
  Compare -28 and -58
  Swap -28 and -58
  List after swap: [-61, -58, -28, -17, -7, 3, 6, 32, 71]

Pass 8:
  Compare -61 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -58, -28, -17, -7, 3, 6, 32, 71]
</think>

<response>-61, -58, -28, -17, -7, 3, 6, 32, 71</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -79, -31, -80, -41.

output:
<think>
Initial list: [-79, -31, -80, -41]

Pass 1:
  Compare -79 and -31
  No swap needed
  Compare -31 and -80
  Swap -31 and -80
  List after swap: [-79, -80, -31, -41]
  Compare -31 and -41
  Swap -31 and -41
  List after swap: [-79, -80, -41, -31]

Pass 2:
  Compare -79 and -80
  Swap -79 and -80
  List after swap: [-80, -79, -41, -31]
  Compare -79 and -41
  No swap needed

Pass 3:
  Compare -80 and -79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -79, -41, -31]
</think>

<response>-80, -79, -41, -31</response>


input: Demonstrate how bubble sort orders the integers -29, 35 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-29, 35]

Pass 1:
  Compare -29 and 35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-29, 35]
</think>

<response>-29, 35</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 32, -67, 59, -45, -98, 96, -3, 71, 6, 23.

output:
<think>
Initial list: [32, -67, 59, -45, -98, 96, -3, 71, 6, 23]

Pass 1:
  Compare 32 and -67
  Swap 32 and -67
  List after swap: [-67, 32, 59, -45, -98, 96, -3, 71, 6, 23]
  Compare 32 and 59
  No swap needed
  Compare 59 and -45
  Swap 59 and -45
  List after swap: [-67, 32, -45, 59, -98, 96, -3, 71, 6, 23]
  Compare 59 and -98
  Swap 59 and -98
  List after swap: [-67, 32, -45, -98, 59, 96, -3, 71, 6, 23]
  Compare 59 and 96
  No swap needed
  Compare 96 and -3
  Swap 96 and -3
  List after swap: [-67, 32, -45, -98, 59, -3, 96, 71, 6, 23]
  Compare 96 and 71
  Swap 96 and 71
  List after swap: [-67, 32, -45, -98, 59, -3, 71, 96, 6, 23]
  Compare 96 and 6
  Swap 96 and 6
  List after swap: [-67, 32, -45, -98, 59, -3, 71, 6, 96, 23]
  Compare 96 and 23
  Swap 96 and 23
  List after swap: [-67, 32, -45, -98, 59, -3, 71, 6, 23, 96]

Pass 2:
  Compare -67 and 32
  No swap needed
  Compare 32 and -45
  Swap 32 and -45
  List after swap: [-67, -45, 32, -98, 59, -3, 71, 6, 23, 96]
  Compare 32 and -98
  Swap 32 and -98
  List after swap: [-67, -45, -98, 32, 59, -3, 71, 6, 23, 96]
  Compare 32 and 59
  No swap needed
  Compare 59 and -3
  Swap 59 and -3
  List after swap: [-67, -45, -98, 32, -3, 59, 71, 6, 23, 96]
  Compare 59 and 71
  No swap needed
  Compare 71 and 6
  Swap 71 and 6
  List after swap: [-67, -45, -98, 32, -3, 59, 6, 71, 23, 96]
  Compare 71 and 23
  Swap 71 and 23
  List after swap: [-67, -45, -98, 32, -3, 59, 6, 23, 71, 96]

Pass 3:
  Compare -67 and -45
  No swap needed
  Compare -45 and -98
  Swap -45 and -98
  List after swap: [-67, -98, -45, 32, -3, 59, 6, 23, 71, 96]
  Compare -45 and 32
  No swap needed
  Compare 32 and -3
  Swap 32 and -3
  List after swap: [-67, -98, -45, -3, 32, 59, 6, 23, 71, 96]
  Compare 32 and 59
  No swap needed
  Compare 59 and 6
  Swap 59 and 6
  List after swap: [-67, -98, -45, -3, 32, 6, 59, 23, 71, 96]
  Compare 59 and 23
  Swap 59 and 23
  List after swap: [-67, -98, -45, -3, 32, 6, 23, 59, 71, 96]

Pass 4:
  Compare -67 and -98
  Swap -67 and -98
  List after swap: [-98, -67, -45, -3, 32, 6, 23, 59, 71, 96]
  Compare -67 and -45
  No swap needed
  Compare -45 and -3
  No swap needed
  Compare -3 and 32
  No swap needed
  Compare 32 and 6
  Swap 32 and 6
  List after swap: [-98, -67, -45, -3, 6, 32, 23, 59, 71, 96]
  Compare 32 and 23
  Swap 32 and 23
  List after swap: [-98, -67, -45, -3, 6, 23, 32, 59, 71, 96]

Pass 5:
  Compare -98 and -67
  No swap needed
  Compare -67 and -45
  No swap needed
  Compare -45 and -3
  No swap needed
  Compare -3 and 6
  No swap needed
  Compare 6 and 23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -67, -45, -3, 6, 23, 32, 59, 71, 96]
</think>

<response>-98, -67, -45, -3, 6, 23, 32, 59, 71, 96</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 9, 23, 64, 35, -2, -1, 34, -86.

output:
<think>
Initial list: [9, 23, 64, 35, -2, -1, 34, -86]

Pass 1:
  Compare 9 and 23
  No swap needed
  Compare 23 and 64
  No swap needed
  Compare 64 and 35
  Swap 64 and 35
  List after swap: [9, 23, 35, 64, -2, -1, 34, -86]
  Compare 64 and -2
  Swap 64 and -2
  List after swap: [9, 23, 35, -2, 64, -1, 34, -86]
  Compare 64 and -1
  Swap 64 and -1
  List after swap: [9, 23, 35, -2, -1, 64, 34, -86]
  Compare 64 and 34
  Swap 64 and 34
  List after swap: [9, 23, 35, -2, -1, 34, 64, -86]
  Compare 64 and -86
  Swap 64 and -86
  List after swap: [9, 23, 35, -2, -1, 34, -86, 64]

Pass 2:
  Compare 9 and 23
  No swap needed
  Compare 23 and 35
  No swap needed
  Compare 35 and -2
  Swap 35 and -2
  List after swap: [9, 23, -2, 35, -1, 34, -86, 64]
  Compare 35 and -1
  Swap 35 and -1
  List after swap: [9, 23, -2, -1, 35, 34, -86, 64]
  Compare 35 and 34
  Swap 35 and 34
  List after swap: [9, 23, -2, -1, 34, 35, -86, 64]
  Compare 35 and -86
  Swap 35 and -86
  List after swap: [9, 23, -2, -1, 34, -86, 35, 64]

Pass 3:
  Compare 9 and 23
  No swap needed
  Compare 23 and -2
  Swap 23 and -2
  List after swap: [9, -2, 23, -1, 34, -86, 35, 64]
  Compare 23 and -1
  Swap 23 and -1
  List after swap: [9, -2, -1, 23, 34, -86, 35, 64]
  Compare 23 and 34
  No swap needed
  Compare 34 and -86
  Swap 34 and -86
  List after swap: [9, -2, -1, 23, -86, 34, 35, 64]

Pass 4:
  Compare 9 and -2
  Swap 9 and -2
  List after swap: [-2, 9, -1, 23, -86, 34, 35, 64]
  Compare 9 and -1
  Swap 9 and -1
  List after swap: [-2, -1, 9, 23, -86, 34, 35, 64]
  Compare 9 and 23
  No swap needed
  Compare 23 and -86
  Swap 23 and -86
  List after swap: [-2, -1, 9, -86, 23, 34, 35, 64]

Pass 5:
  Compare -2 and -1
  No swap needed
  Compare -1 and 9
  No swap needed
  Compare 9 and -86
  Swap 9 and -86
  List after swap: [-2, -1, -86, 9, 23, 34, 35, 64]

Pass 6:
  Compare -2 and -1
  No swap needed
  Compare -1 and -86
  Swap -1 and -86
  List after swap: [-2, -86, -1, 9, 23, 34, 35, 64]

Pass 7:
  Compare -2 and -86
  Swap -2 and -86
  List after swap: [-86, -2, -1, 9, 23, 34, 35, 64]

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

Final sorted list: [-86, -2, -1, 9, 23, 34, 35, 64]
</think>

<response>-86, -2, -1, 9, 23, 34, 35, 64</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 19, -71, -63, 73.

output:
<think>
Initial list: [19, -71, -63, 73]

Pass 1:
  Compare 19 and -71
  Swap 19 and -71
  List after swap: [-71, 19, -63, 73]
  Compare 19 and -63
  Swap 19 and -63
  List after swap: [-71, -63, 19, 73]
  Compare 19 and 73
  No swap needed

Pass 2:
  Compare -71 and -63
  No swap needed
  Compare -63 and 19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -63, 19, 73]
</think>

<response>-71, -63, 19, 73</response>


input: Arrange the numbers -67, -44, 44, 5, 24, -100 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-67, -44, 44, 5, 24, -100]

Pass 1:
  Compare -67 and -44
  No swap needed
  Compare -44 and 44
  No swap needed
  Compare 44 and 5
  Swap 44 and 5
  List after swap: [-67, -44, 5, 44, 24, -100]
  Compare 44 and 24
  Swap 44 and 24
  List after swap: [-67, -44, 5, 24, 44, -100]
  Compare 44 and -100
  Swap 44 and -100
  List after swap: [-67, -44, 5, 24, -100, 44]

Pass 2:
  Compare -67 and -44
  No swap needed
  Compare -44 and 5
  No swap needed
  Compare 5 and 24
  No swap needed
  Compare 24 and -100
  Swap 24 and -100
  List after swap: [-67, -44, 5, -100, 24, 44]

Pass 3:
  Compare -67 and -44
  No swap needed
  Compare -44 and 5
  No swap needed
  Compare 5 and -100
  Swap 5 and -100
  List after swap: [-67, -44, -100, 5, 24, 44]

Pass 4:
  Compare -67 and -44
  No swap needed
  Compare -44 and -100
  Swap -44 and -100
  List after swap: [-67, -100, -44, 5, 24, 44]

Pass 5:
  Compare -67 and -100
  Swap -67 and -100
  List after swap: [-100, -67, -44, 5, 24, 44]

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

Final sorted list: [-100, -67, -44, 5, 24, 44]
</think>

<response>-100, -67, -44, 5, 24, 44</response>


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

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

Pass 1:
  Compare -16 and -95
  Swap -16 and -95
  List after swap: [-95, -16]

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

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

<response>-95, -16</response>


input: Implement bubble sort on 88, -54, -62 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [88, -54, -62]

Pass 1:
  Compare 88 and -54
  Swap 88 and -54
  List after swap: [-54, 88, -62]
  Compare 88 and -62
  Swap 88 and -62
  List after swap: [-54, -62, 88]

Pass 2:
  Compare -54 and -62
  Swap -54 and -62
  List after swap: [-62, -54, 88]

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

Final sorted list: [-62, -54, 88]
</think>

<response>-62, -54, 88</response>


input: Demonstrate how bubble sort orders the integers 56, 16, -6, -21, -52, 40 in ascending sequence, showing all steps.

output:
<think>
Initial list: [56, 16, -6, -21, -52, 40]

Pass 1:
  Compare 56 and 16
  Swap 56 and 16
  List after swap: [16, 56, -6, -21, -52, 40]
  Compare 56 and -6
  Swap 56 and -6
  List after swap: [16, -6, 56, -21, -52, 40]
  Compare 56 and -21
  Swap 56 and -21
  List after swap: [16, -6, -21, 56, -52, 40]
  Compare 56 and -52
  Swap 56 and -52
  List after swap: [16, -6, -21, -52, 56, 40]
  Compare 56 and 40
  Swap 56 and 40
  List after swap: [16, -6, -21, -52, 40, 56]

Pass 2:
  Compare 16 and -6
  Swap 16 and -6
  List after swap: [-6, 16, -21, -52, 40, 56]
  Compare 16 and -21
  Swap 16 and -21
  List after swap: [-6, -21, 16, -52, 40, 56]
  Compare 16 and -52
  Swap 16 and -52
  List after swap: [-6, -21, -52, 16, 40, 56]
  Compare 16 and 40
  No swap needed

Pass 3:
  Compare -6 and -21
  Swap -6 and -21
  List after swap: [-21, -6, -52, 16, 40, 56]
  Compare -6 and -52
  Swap -6 and -52
  List after swap: [-21, -52, -6, 16, 40, 56]
  Compare -6 and 16
  No swap needed

Pass 4:
  Compare -21 and -52
  Swap -21 and -52
  List after swap: [-52, -21, -6, 16, 40, 56]
  Compare -21 and -6
  No swap needed

Pass 5:
  Compare -52 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, -21, -6, 16, 40, 56]
</think>

<response>-52, -21, -6, 16, 40, 56</response>


input: Using the bubble sort method, sort -96, -17, 26, -45, -23 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-96, -17, 26, -45, -23]

Pass 1:
  Compare -96 and -17
  No swap needed
  Compare -17 and 26
  No swap needed
  Compare 26 and -45
  Swap 26 and -45
  List after swap: [-96, -17, -45, 26, -23]
  Compare 26 and -23
  Swap 26 and -23
  List after swap: [-96, -17, -45, -23, 26]

Pass 2:
  Compare -96 and -17
  No swap needed
  Compare -17 and -45
  Swap -17 and -45
  List after swap: [-96, -45, -17, -23, 26]
  Compare -17 and -23
  Swap -17 and -23
  List after swap: [-96, -45, -23, -17, 26]

Pass 3:
  Compare -96 and -45
  No swap needed
  Compare -45 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -45, -23, -17, 26]
</think>

<response>-96, -45, -23, -17, 26</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 61, 79, 66.

output:
<think>
Initial list: [61, 79, 66]

Pass 1:
  Compare 61 and 79
  No swap needed
  Compare 79 and 66
  Swap 79 and 66
  List after swap: [61, 66, 79]

Pass 2:
  Compare 61 and 66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [61, 66, 79]
</think>

<response>61, 66, 79</response>


input: Use the bubble sort technique to reorder -3, 59 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-3, 59]

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

Final sorted list: [-3, 59]
</think>

<response>-3, 59</response>


input: Carry out the bubble sort algorithm on -80, -34, -24, -12, -37, -27, 98, 37, 93 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-80, -34, -24, -12, -37, -27, 98, 37, 93]

Pass 1:
  Compare -80 and -34
  No swap needed
  Compare -34 and -24
  No swap needed
  Compare -24 and -12
  No swap needed
  Compare -12 and -37
  Swap -12 and -37
  List after swap: [-80, -34, -24, -37, -12, -27, 98, 37, 93]
  Compare -12 and -27
  Swap -12 and -27
  List after swap: [-80, -34, -24, -37, -27, -12, 98, 37, 93]
  Compare -12 and 98
  No swap needed
  Compare 98 and 37
  Swap 98 and 37
  List after swap: [-80, -34, -24, -37, -27, -12, 37, 98, 93]
  Compare 98 and 93
  Swap 98 and 93
  List after swap: [-80, -34, -24, -37, -27, -12, 37, 93, 98]

Pass 2:
  Compare -80 and -34
  No swap needed
  Compare -34 and -24
  No swap needed
  Compare -24 and -37
  Swap -24 and -37
  List after swap: [-80, -34, -37, -24, -27, -12, 37, 93, 98]
  Compare -24 and -27
  Swap -24 and -27
  List after swap: [-80, -34, -37, -27, -24, -12, 37, 93, 98]
  Compare -24 and -12
  No swap needed
  Compare -12 and 37
  No swap needed
  Compare 37 and 93
  No swap needed

Pass 3:
  Compare -80 and -34
  No swap needed
  Compare -34 and -37
  Swap -34 and -37
  List after swap: [-80, -37, -34, -27, -24, -12, 37, 93, 98]
  Compare -34 and -27
  No swap needed
  Compare -27 and -24
  No swap needed
  Compare -24 and -12
  No swap needed
  Compare -12 and 37
  No swap needed

Pass 4:
  Compare -80 and -37
  No swap needed
  Compare -37 and -34
  No swap needed
  Compare -34 and -27
  No swap needed
  Compare -27 and -24
  No swap needed
  Compare -24 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -37, -34, -27, -24, -12, 37, 93, 98]
</think>

<response>-80, -37, -34, -27, -24, -12, 37, 93, 98</response>


input: Sort the list 38, -84 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [38, -84]

Pass 1:
  Compare 38 and -84
  Swap 38 and -84
  List after swap: [-84, 38]

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

Final sorted list: [-84, 38]
</think>

<response>-84, 38</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 59, -76, 36, -22, 30, 79, 52, -63.

output:
<think>
Initial list: [59, -76, 36, -22, 30, 79, 52, -63]

Pass 1:
  Compare 59 and -76
  Swap 59 and -76
  List after swap: [-76, 59, 36, -22, 30, 79, 52, -63]
  Compare 59 and 36
  Swap 59 and 36
  List after swap: [-76, 36, 59, -22, 30, 79, 52, -63]
  Compare 59 and -22
  Swap 59 and -22
  List after swap: [-76, 36, -22, 59, 30, 79, 52, -63]
  Compare 59 and 30
  Swap 59 and 30
  List after swap: [-76, 36, -22, 30, 59, 79, 52, -63]
  Compare 59 and 79
  No swap needed
  Compare 79 and 52
  Swap 79 and 52
  List after swap: [-76, 36, -22, 30, 59, 52, 79, -63]
  Compare 79 and -63
  Swap 79 and -63
  List after swap: [-76, 36, -22, 30, 59, 52, -63, 79]

Pass 2:
  Compare -76 and 36
  No swap needed
  Compare 36 and -22
  Swap 36 and -22
  List after swap: [-76, -22, 36, 30, 59, 52, -63, 79]
  Compare 36 and 30
  Swap 36 and 30
  List after swap: [-76, -22, 30, 36, 59, 52, -63, 79]
  Compare 36 and 59
  No swap needed
  Compare 59 and 52
  Swap 59 and 52
  List after swap: [-76, -22, 30, 36, 52, 59, -63, 79]
  Compare 59 and -63
  Swap 59 and -63
  List after swap: [-76, -22, 30, 36, 52, -63, 59, 79]

Pass 3:
  Compare -76 and -22
  No swap needed
  Compare -22 and 30
  No swap needed
  Compare 30 and 36
  No swap needed
  Compare 36 and 52
  No swap needed
  Compare 52 and -63
  Swap 52 and -63
  List after swap: [-76, -22, 30, 36, -63, 52, 59, 79]

Pass 4:
  Compare -76 and -22
  No swap needed
  Compare -22 and 30
  No swap needed
  Compare 30 and 36
  No swap needed
  Compare 36 and -63
  Swap 36 and -63
  List after swap: [-76, -22, 30, -63, 36, 52, 59, 79]

Pass 5:
  Compare -76 and -22
  No swap needed
  Compare -22 and 30
  No swap needed
  Compare 30 and -63
  Swap 30 and -63
  List after swap: [-76, -22, -63, 30, 36, 52, 59, 79]

Pass 6:
  Compare -76 and -22
  No swap needed
  Compare -22 and -63
  Swap -22 and -63
  List after swap: [-76, -63, -22, 30, 36, 52, 59, 79]

Pass 7:
  Compare -76 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -63, -22, 30, 36, 52, 59, 79]
</think>

<response>-76, -63, -22, 30, 36, 52, 59, 79</response>


input: Arrange the numbers -39, -26, 70, -57, -56, 1, 38, -1, -41 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-39, -26, 70, -57, -56, 1, 38, -1, -41]

Pass 1:
  Compare -39 and -26
  No swap needed
  Compare -26 and 70
  No swap needed
  Compare 70 and -57
  Swap 70 and -57
  List after swap: [-39, -26, -57, 70, -56, 1, 38, -1, -41]
  Compare 70 and -56
  Swap 70 and -56
  List after swap: [-39, -26, -57, -56, 70, 1, 38, -1, -41]
  Compare 70 and 1
  Swap 70 and 1
  List after swap: [-39, -26, -57, -56, 1, 70, 38, -1, -41]
  Compare 70 and 38
  Swap 70 and 38
  List after swap: [-39, -26, -57, -56, 1, 38, 70, -1, -41]
  Compare 70 and -1
  Swap 70 and -1
  List after swap: [-39, -26, -57, -56, 1, 38, -1, 70, -41]
  Compare 70 and -41
  Swap 70 and -41
  List after swap: [-39, -26, -57, -56, 1, 38, -1, -41, 70]

Pass 2:
  Compare -39 and -26
  No swap needed
  Compare -26 and -57
  Swap -26 and -57
  List after swap: [-39, -57, -26, -56, 1, 38, -1, -41, 70]
  Compare -26 and -56
  Swap -26 and -56
  List after swap: [-39, -57, -56, -26, 1, 38, -1, -41, 70]
  Compare -26 and 1
  No swap needed
  Compare 1 and 38
  No swap needed
  Compare 38 and -1
  Swap 38 and -1
  List after swap: [-39, -57, -56, -26, 1, -1, 38, -41, 70]
  Compare 38 and -41
  Swap 38 and -41
  List after swap: [-39, -57, -56, -26, 1, -1, -41, 38, 70]

Pass 3:
  Compare -39 and -57
  Swap -39 and -57
  List after swap: [-57, -39, -56, -26, 1, -1, -41, 38, 70]
  Compare -39 and -56
  Swap -39 and -56
  List after swap: [-57, -56, -39, -26, 1, -1, -41, 38, 70]
  Compare -39 and -26
  No swap needed
  Compare -26 and 1
  No swap needed
  Compare 1 and -1
  Swap 1 and -1
  List after swap: [-57, -56, -39, -26, -1, 1, -41, 38, 70]
  Compare 1 and -41
  Swap 1 and -41
  List after swap: [-57, -56, -39, -26, -1, -41, 1, 38, 70]

Pass 4:
  Compare -57 and -56
  No swap needed
  Compare -56 and -39
  No swap needed
  Compare -39 and -26
  No swap needed
  Compare -26 and -1
  No swap needed
  Compare -1 and -41
  Swap -1 and -41
  List after swap: [-57, -56, -39, -26, -41, -1, 1, 38, 70]

Pass 5:
  Compare -57 and -56
  No swap needed
  Compare -56 and -39
  No swap needed
  Compare -39 and -26
  No swap needed
  Compare -26 and -41
  Swap -26 and -41
  List after swap: [-57, -56, -39, -41, -26, -1, 1, 38, 70]

Pass 6:
  Compare -57 and -56
  No swap needed
  Compare -56 and -39
  No swap needed
  Compare -39 and -41
  Swap -39 and -41
  List after swap: [-57, -56, -41, -39, -26, -1, 1, 38, 70]

Pass 7:
  Compare -57 and -56
  No swap needed
  Compare -56 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -56, -41, -39, -26, -1, 1, 38, 70]
</think>

<response>-57, -56, -41, -39, -26, -1, 1, 38, 70</response>


input: Arrange the numbers -21, 7, -80, -7, -64, 92, 81, 57 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-21, 7, -80, -7, -64, 92, 81, 57]

Pass 1:
  Compare -21 and 7
  No swap needed
  Compare 7 and -80
  Swap 7 and -80
  List after swap: [-21, -80, 7, -7, -64, 92, 81, 57]
  Compare 7 and -7
  Swap 7 and -7
  List after swap: [-21, -80, -7, 7, -64, 92, 81, 57]
  Compare 7 and -64
  Swap 7 and -64
  List after swap: [-21, -80, -7, -64, 7, 92, 81, 57]
  Compare 7 and 92
  No swap needed
  Compare 92 and 81
  Swap 92 and 81
  List after swap: [-21, -80, -7, -64, 7, 81, 92, 57]
  Compare 92 and 57
  Swap 92 and 57
  List after swap: [-21, -80, -7, -64, 7, 81, 57, 92]

Pass 2:
  Compare -21 and -80
  Swap -21 and -80
  List after swap: [-80, -21, -7, -64, 7, 81, 57, 92]
  Compare -21 and -7
  No swap needed
  Compare -7 and -64
  Swap -7 and -64
  List after swap: [-80, -21, -64, -7, 7, 81, 57, 92]
  Compare -7 and 7
  No swap needed
  Compare 7 and 81
  No swap needed
  Compare 81 and 57
  Swap 81 and 57
  List after swap: [-80, -21, -64, -7, 7, 57, 81, 92]

Pass 3:
  Compare -80 and -21
  No swap needed
  Compare -21 and -64
  Swap -21 and -64
  List after swap: [-80, -64, -21, -7, 7, 57, 81, 92]
  Compare -21 and -7
  No swap needed
  Compare -7 and 7
  No swap needed
  Compare 7 and 57
  No swap needed

Pass 4:
  Compare -80 and -64
  No swap needed
  Compare -64 and -21
  No swap needed
  Compare -21 and -7
  No swap needed
  Compare -7 and 7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -64, -21, -7, 7, 57, 81, 92]
</think>

<response>-80, -64, -21, -7, 7, 57, 81, 92</response>


input: Carry out the bubble sort algorithm on -100, -19, -42, 56, 61, -8, -6 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-100, -19, -42, 56, 61, -8, -6]

Pass 1:
  Compare -100 and -19
  No swap needed
  Compare -19 and -42
  Swap -19 and -42
  List after swap: [-100, -42, -19, 56, 61, -8, -6]
  Compare -19 and 56
  No swap needed
  Compare 56 and 61
  No swap needed
  Compare 61 and -8
  Swap 61 and -8
  List after swap: [-100, -42, -19, 56, -8, 61, -6]
  Compare 61 and -6
  Swap 61 and -6
  List after swap: [-100, -42, -19, 56, -8, -6, 61]

Pass 2:
  Compare -100 and -42
  No swap needed
  Compare -42 and -19
  No swap needed
  Compare -19 and 56
  No swap needed
  Compare 56 and -8
  Swap 56 and -8
  List after swap: [-100, -42, -19, -8, 56, -6, 61]
  Compare 56 and -6
  Swap 56 and -6
  List after swap: [-100, -42, -19, -8, -6, 56, 61]

Pass 3:
  Compare -100 and -42
  No swap needed
  Compare -42 and -19
  No swap needed
  Compare -19 and -8
  No swap needed
  Compare -8 and -6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -42, -19, -8, -6, 56, 61]
</think>

<response>-100, -42, -19, -8, -6, 56, 61</response>


input: Demonstrate how bubble sort orders the integers -31, -76, -64, 29 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-31, -76, -64, 29]

Pass 1:
  Compare -31 and -76
  Swap -31 and -76
  List after swap: [-76, -31, -64, 29]
  Compare -31 and -64
  Swap -31 and -64
  List after swap: [-76, -64, -31, 29]
  Compare -31 and 29
  No swap needed

Pass 2:
  Compare -76 and -64
  No swap needed
  Compare -64 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -64, -31, 29]
</think>

<response>-76, -64, -31, 29</response>


input: Demonstrate how bubble sort orders the integers -98, 67, 32, -46, 34, 78, -43, 9, -75 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-98, 67, 32, -46, 34, 78, -43, 9, -75]

Pass 1:
  Compare -98 and 67
  No swap needed
  Compare 67 and 32
  Swap 67 and 32
  List after swap: [-98, 32, 67, -46, 34, 78, -43, 9, -75]
  Compare 67 and -46
  Swap 67 and -46
  List after swap: [-98, 32, -46, 67, 34, 78, -43, 9, -75]
  Compare 67 and 34
  Swap 67 and 34
  List after swap: [-98, 32, -46, 34, 67, 78, -43, 9, -75]
  Compare 67 and 78
  No swap needed
  Compare 78 and -43
  Swap 78 and -43
  List after swap: [-98, 32, -46, 34, 67, -43, 78, 9, -75]
  Compare 78 and 9
  Swap 78 and 9
  List after swap: [-98, 32, -46, 34, 67, -43, 9, 78, -75]
  Compare 78 and -75
  Swap 78 and -75
  List after swap: [-98, 32, -46, 34, 67, -43, 9, -75, 78]

Pass 2:
  Compare -98 and 32
  No swap needed
  Compare 32 and -46
  Swap 32 and -46
  List after swap: [-98, -46, 32, 34, 67, -43, 9, -75, 78]
  Compare 32 and 34
  No swap needed
  Compare 34 and 67
  No swap needed
  Compare 67 and -43
  Swap 67 and -43
  List after swap: [-98, -46, 32, 34, -43, 67, 9, -75, 78]
  Compare 67 and 9
  Swap 67 and 9
  List after swap: [-98, -46, 32, 34, -43, 9, 67, -75, 78]
  Compare 67 and -75
  Swap 67 and -75
  List after swap: [-98, -46, 32, 34, -43, 9, -75, 67, 78]

Pass 3:
  Compare -98 and -46
  No swap needed
  Compare -46 and 32
  No swap needed
  Compare 32 and 34
  No swap needed
  Compare 34 and -43
  Swap 34 and -43
  List after swap: [-98, -46, 32, -43, 34, 9, -75, 67, 78]
  Compare 34 and 9
  Swap 34 and 9
  List after swap: [-98, -46, 32, -43, 9, 34, -75, 67, 78]
  Compare 34 and -75
  Swap 34 and -75
  List after swap: [-98, -46, 32, -43, 9, -75, 34, 67, 78]

Pass 4:
  Compare -98 and -46
  No swap needed
  Compare -46 and 32
  No swap needed
  Compare 32 and -43
  Swap 32 and -43
  List after swap: [-98, -46, -43, 32, 9, -75, 34, 67, 78]
  Compare 32 and 9
  Swap 32 and 9
  List after swap: [-98, -46, -43, 9, 32, -75, 34, 67, 78]
  Compare 32 and -75
  Swap 32 and -75
  List after swap: [-98, -46, -43, 9, -75, 32, 34, 67, 78]

Pass 5:
  Compare -98 and -46
  No swap needed
  Compare -46 and -43
  No swap needed
  Compare -43 and 9
  No swap needed
  Compare 9 and -75
  Swap 9 and -75
  List after swap: [-98, -46, -43, -75, 9, 32, 34, 67, 78]

Pass 6:
  Compare -98 and -46
  No swap needed
  Compare -46 and -43
  No swap needed
  Compare -43 and -75
  Swap -43 and -75
  List after swap: [-98, -46, -75, -43, 9, 32, 34, 67, 78]

Pass 7:
  Compare -98 and -46
  No swap needed
  Compare -46 and -75
  Swap -46 and -75
  List after swap: [-98, -75, -46, -43, 9, 32, 34, 67, 78]

Pass 8:
  Compare -98 and -75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -75, -46, -43, 9, 32, 34, 67, 78]
</think>

<response>-98, -75, -46, -43, 9, 32, 34, 67, 78</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 85, 27, 35, 70, -68, 5, 76, 48, 80.

output:
<think>
Initial list: [85, 27, 35, 70, -68, 5, 76, 48, 80]

Pass 1:
  Compare 85 and 27
  Swap 85 and 27
  List after swap: [27, 85, 35, 70, -68, 5, 76, 48, 80]
  Compare 85 and 35
  Swap 85 and 35
  List after swap: [27, 35, 85, 70, -68, 5, 76, 48, 80]
  Compare 85 and 70
  Swap 85 and 70
  List after swap: [27, 35, 70, 85, -68, 5, 76, 48, 80]
  Compare 85 and -68
  Swap 85 and -68
  List after swap: [27, 35, 70, -68, 85, 5, 76, 48, 80]
  Compare 85 and 5
  Swap 85 and 5
  List after swap: [27, 35, 70, -68, 5, 85, 76, 48, 80]
  Compare 85 and 76
  Swap 85 and 76
  List after swap: [27, 35, 70, -68, 5, 76, 85, 48, 80]
  Compare 85 and 48
  Swap 85 and 48
  List after swap: [27, 35, 70, -68, 5, 76, 48, 85, 80]
  Compare 85 and 80
  Swap 85 and 80
  List after swap: [27, 35, 70, -68, 5, 76, 48, 80, 85]

Pass 2:
  Compare 27 and 35
  No swap needed
  Compare 35 and 70
  No swap needed
  Compare 70 and -68
  Swap 70 and -68
  List after swap: [27, 35, -68, 70, 5, 76, 48, 80, 85]
  Compare 70 and 5
  Swap 70 and 5
  List after swap: [27, 35, -68, 5, 70, 76, 48, 80, 85]
  Compare 70 and 76
  No swap needed
  Compare 76 and 48
  Swap 76 and 48
  List after swap: [27, 35, -68, 5, 70, 48, 76, 80, 85]
  Compare 76 and 80
  No swap needed

Pass 3:
  Compare 27 and 35
  No swap needed
  Compare 35 and -68
  Swap 35 and -68
  List after swap: [27, -68, 35, 5, 70, 48, 76, 80, 85]
  Compare 35 and 5
  Swap 35 and 5
  List after swap: [27, -68, 5, 35, 70, 48, 76, 80, 85]
  Compare 35 and 70
  No swap needed
  Compare 70 and 48
  Swap 70 and 48
  List after swap: [27, -68, 5, 35, 48, 70, 76, 80, 85]
  Compare 70 and 76
  No swap needed

Pass 4:
  Compare 27 and -68
  Swap 27 and -68
  List after swap: [-68, 27, 5, 35, 48, 70, 76, 80, 85]
  Compare 27 and 5
  Swap 27 and 5
  List after swap: [-68, 5, 27, 35, 48, 70, 76, 80, 85]
  Compare 27 and 35
  No swap needed
  Compare 35 and 48
  No swap needed
  Compare 48 and 70
  No swap needed

Pass 5:
  Compare -68 and 5
  No swap needed
  Compare 5 and 27
  No swap needed
  Compare 27 and 35
  No swap needed
  Compare 35 and 48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, 5, 27, 35, 48, 70, 76, 80, 85]
</think>

<response>-68, 5, 27, 35, 48, 70, 76, 80, 85</response>


input: Using the bubble sort method, sort -28, 27, 53, -29 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-28, 27, 53, -29]

Pass 1:
  Compare -28 and 27
  No swap needed
  Compare 27 and 53
  No swap needed
  Compare 53 and -29
  Swap 53 and -29
  List after swap: [-28, 27, -29, 53]

Pass 2:
  Compare -28 and 27
  No swap needed
  Compare 27 and -29
  Swap 27 and -29
  List after swap: [-28, -29, 27, 53]

Pass 3:
  Compare -28 and -29
  Swap -28 and -29
  List after swap: [-29, -28, 27, 53]

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

Final sorted list: [-29, -28, 27, 53]
</think>

<response>-29, -28, 27, 53</response>


input: Perform a bubble sort on the integers -55, 20, arranging them in ascending order and outlining every step.

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

Pass 1:
  Compare -55 and 20
  No swap needed
  No swaps in this pass, list is sorted.

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

<response>-55, 20</response>


input: Use the bubble sort technique to reorder -2, -24, 57, -21, 3, 31, 7, 5 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-2, -24, 57, -21, 3, 31, 7, 5]

Pass 1:
  Compare -2 and -24
  Swap -2 and -24
  List after swap: [-24, -2, 57, -21, 3, 31, 7, 5]
  Compare -2 and 57
  No swap needed
  Compare 57 and -21
  Swap 57 and -21
  List after swap: [-24, -2, -21, 57, 3, 31, 7, 5]
  Compare 57 and 3
  Swap 57 and 3
  List after swap: [-24, -2, -21, 3, 57, 31, 7, 5]
  Compare 57 and 31
  Swap 57 and 31
  List after swap: [-24, -2, -21, 3, 31, 57, 7, 5]
  Compare 57 and 7
  Swap 57 and 7
  List after swap: [-24, -2, -21, 3, 31, 7, 57, 5]
  Compare 57 and 5
  Swap 57 and 5
  List after swap: [-24, -2, -21, 3, 31, 7, 5, 57]

Pass 2:
  Compare -24 and -2
  No swap needed
  Compare -2 and -21
  Swap -2 and -21
  List after swap: [-24, -21, -2, 3, 31, 7, 5, 57]
  Compare -2 and 3
  No swap needed
  Compare 3 and 31
  No swap needed
  Compare 31 and 7
  Swap 31 and 7
  List after swap: [-24, -21, -2, 3, 7, 31, 5, 57]
  Compare 31 and 5
  Swap 31 and 5
  List after swap: [-24, -21, -2, 3, 7, 5, 31, 57]

Pass 3:
  Compare -24 and -21
  No swap needed
  Compare -21 and -2
  No swap needed
  Compare -2 and 3
  No swap needed
  Compare 3 and 7
  No swap needed
  Compare 7 and 5
  Swap 7 and 5
  List after swap: [-24, -21, -2, 3, 5, 7, 31, 57]

Pass 4:
  Compare -24 and -21
  No swap needed
  Compare -21 and -2
  No swap needed
  Compare -2 and 3
  No swap needed
  Compare 3 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-24, -21, -2, 3, 5, 7, 31, 57]
</think>

<response>-24, -21, -2, 3, 5, 7, 31, 57</response>


input: Carry out the bubble sort algorithm on -52, -11 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-52, -11]

Pass 1:
  Compare -52 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, -11]
</think>

<response>-52, -11</response>


input: Sort these integers 92, -27, 42, -87, 91, 85, 14, -54, -61, -37 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [92, -27, 42, -87, 91, 85, 14, -54, -61, -37]

Pass 1:
  Compare 92 and -27
  Swap 92 and -27
  List after swap: [-27, 92, 42, -87, 91, 85, 14, -54, -61, -37]
  Compare 92 and 42
  Swap 92 and 42
  List after swap: [-27, 42, 92, -87, 91, 85, 14, -54, -61, -37]
  Compare 92 and -87
  Swap 92 and -87
  List after swap: [-27, 42, -87, 92, 91, 85, 14, -54, -61, -37]
  Compare 92 and 91
  Swap 92 and 91
  List after swap: [-27, 42, -87, 91, 92, 85, 14, -54, -61, -37]
  Compare 92 and 85
  Swap 92 and 85
  List after swap: [-27, 42, -87, 91, 85, 92, 14, -54, -61, -37]
  Compare 92 and 14
  Swap 92 and 14
  List after swap: [-27, 42, -87, 91, 85, 14, 92, -54, -61, -37]
  Compare 92 and -54
  Swap 92 and -54
  List after swap: [-27, 42, -87, 91, 85, 14, -54, 92, -61, -37]
  Compare 92 and -61
  Swap 92 and -61
  List after swap: [-27, 42, -87, 91, 85, 14, -54, -61, 92, -37]
  Compare 92 and -37
  Swap 92 and -37
  List after swap: [-27, 42, -87, 91, 85, 14, -54, -61, -37, 92]

Pass 2:
  Compare -27 and 42
  No swap needed
  Compare 42 and -87
  Swap 42 and -87
  List after swap: [-27, -87, 42, 91, 85, 14, -54, -61, -37, 92]
  Compare 42 and 91
  No swap needed
  Compare 91 and 85
  Swap 91 and 85
  List after swap: [-27, -87, 42, 85, 91, 14, -54, -61, -37, 92]
  Compare 91 and 14
  Swap 91 and 14
  List after swap: [-27, -87, 42, 85, 14, 91, -54, -61, -37, 92]
  Compare 91 and -54
  Swap 91 and -54
  List after swap: [-27, -87, 42, 85, 14, -54, 91, -61, -37, 92]
  Compare 91 and -61
  Swap 91 and -61
  List after swap: [-27, -87, 42, 85, 14, -54, -61, 91, -37, 92]
  Compare 91 and -37
  Swap 91 and -37
  List after swap: [-27, -87, 42, 85, 14, -54, -61, -37, 91, 92]

Pass 3:
  Compare -27 and -87
  Swap -27 and -87
  List after swap: [-87, -27, 42, 85, 14, -54, -61, -37, 91, 92]
  Compare -27 and 42
  No swap needed
  Compare 42 and 85
  No swap needed
  Compare 85 and 14
  Swap 85 and 14
  List after swap: [-87, -27, 42, 14, 85, -54, -61, -37, 91, 92]
  Compare 85 and -54
  Swap 85 and -54
  List after swap: [-87, -27, 42, 14, -54, 85, -61, -37, 91, 92]
  Compare 85 and -61
  Swap 85 and -61
  List after swap: [-87, -27, 42, 14, -54, -61, 85, -37, 91, 92]
  Compare 85 and -37
  Swap 85 and -37
  List after swap: [-87, -27, 42, 14, -54, -61, -37, 85, 91, 92]

Pass 4:
  Compare -87 and -27
  No swap needed
  Compare -27 and 42
  No swap needed
  Compare 42 and 14
  Swap 42 and 14
  List after swap: [-87, -27, 14, 42, -54, -61, -37, 85, 91, 92]
  Compare 42 and -54
  Swap 42 and -54
  List after swap: [-87, -27, 14, -54, 42, -61, -37, 85, 91, 92]
  Compare 42 and -61
  Swap 42 and -61
  List after swap: [-87, -27, 14, -54, -61, 42, -37, 85, 91, 92]
  Compare 42 and -37
  Swap 42 and -37
  List after swap: [-87, -27, 14, -54, -61, -37, 42, 85, 91, 92]

Pass 5:
  Compare -87 and -27
  No swap needed
  Compare -27 and 14
  No swap needed
  Compare 14 and -54
  Swap 14 and -54
  List after swap: [-87, -27, -54, 14, -61, -37, 42, 85, 91, 92]
  Compare 14 and -61
  Swap 14 and -61
  List after swap: [-87, -27, -54, -61, 14, -37, 42, 85, 91, 92]
  Compare 14 and -37
  Swap 14 and -37
  List after swap: [-87, -27, -54, -61, -37, 14, 42, 85, 91, 92]

Pass 6:
  Compare -87 and -27
  No swap needed
  Compare -27 and -54
  Swap -27 and -54
  List after swap: [-87, -54, -27, -61, -37, 14, 42, 85, 91, 92]
  Compare -27 and -61
  Swap -27 and -61
  List after swap: [-87, -54, -61, -27, -37, 14, 42, 85, 91, 92]
  Compare -27 and -37
  Swap -27 and -37
  List after swap: [-87, -54, -61, -37, -27, 14, 42, 85, 91, 92]

Pass 7:
  Compare -87 and -54
  No swap needed
  Compare -54 and -61
  Swap -54 and -61
  List after swap: [-87, -61, -54, -37, -27, 14, 42, 85, 91, 92]
  Compare -54 and -37
  No swap needed

Pass 8:
  Compare -87 and -61
  No swap needed
  Compare -61 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -61, -54, -37, -27, 14, 42, 85, 91, 92]
</think>

<response>-87, -61, -54, -37, -27, 14, 42, 85, 91, 92</response>


input: Using the bubble sort method, sort 94, 45, -25, -36, -21, -33, 72, -93 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [94, 45, -25, -36, -21, -33, 72, -93]

Pass 1:
  Compare 94 and 45
  Swap 94 and 45
  List after swap: [45, 94, -25, -36, -21, -33, 72, -93]
  Compare 94 and -25
  Swap 94 and -25
  List after swap: [45, -25, 94, -36, -21, -33, 72, -93]
  Compare 94 and -36
  Swap 94 and -36
  List after swap: [45, -25, -36, 94, -21, -33, 72, -93]
  Compare 94 and -21
  Swap 94 and -21
  List after swap: [45, -25, -36, -21, 94, -33, 72, -93]
  Compare 94 and -33
  Swap 94 and -33
  List after swap: [45, -25, -36, -21, -33, 94, 72, -93]
  Compare 94 and 72
  Swap 94 and 72
  List after swap: [45, -25, -36, -21, -33, 72, 94, -93]
  Compare 94 and -93
  Swap 94 and -93
  List after swap: [45, -25, -36, -21, -33, 72, -93, 94]

Pass 2:
  Compare 45 and -25
  Swap 45 and -25
  List after swap: [-25, 45, -36, -21, -33, 72, -93, 94]
  Compare 45 and -36
  Swap 45 and -36
  List after swap: [-25, -36, 45, -21, -33, 72, -93, 94]
  Compare 45 and -21
  Swap 45 and -21
  List after swap: [-25, -36, -21, 45, -33, 72, -93, 94]
  Compare 45 and -33
  Swap 45 and -33
  List after swap: [-25, -36, -21, -33, 45, 72, -93, 94]
  Compare 45 and 72
  No swap needed
  Compare 72 and -93
  Swap 72 and -93
  List after swap: [-25, -36, -21, -33, 45, -93, 72, 94]

Pass 3:
  Compare -25 and -36
  Swap -25 and -36
  List after swap: [-36, -25, -21, -33, 45, -93, 72, 94]
  Compare -25 and -21
  No swap needed
  Compare -21 and -33
  Swap -21 and -33
  List after swap: [-36, -25, -33, -21, 45, -93, 72, 94]
  Compare -21 and 45
  No swap needed
  Compare 45 and -93
  Swap 45 and -93
  List after swap: [-36, -25, -33, -21, -93, 45, 72, 94]

Pass 4:
  Compare -36 and -25
  No swap needed
  Compare -25 and -33
  Swap -25 and -33
  List after swap: [-36, -33, -25, -21, -93, 45, 72, 94]
  Compare -25 and -21
  No swap needed
  Compare -21 and -93
  Swap -21 and -93
  List after swap: [-36, -33, -25, -93, -21, 45, 72, 94]

Pass 5:
  Compare -36 and -33
  No swap needed
  Compare -33 and -25
  No swap needed
  Compare -25 and -93
  Swap -25 and -93
  List after swap: [-36, -33, -93, -25, -21, 45, 72, 94]

Pass 6:
  Compare -36 and -33
  No swap needed
  Compare -33 and -93
  Swap -33 and -93
  List after swap: [-36, -93, -33, -25, -21, 45, 72, 94]

Pass 7:
  Compare -36 and -93
  Swap -36 and -93
  List after swap: [-93, -36, -33, -25, -21, 45, 72, 94]

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

Final sorted list: [-93, -36, -33, -25, -21, 45, 72, 94]
</think>

<response>-93, -36, -33, -25, -21, 45, 72, 94</response>


input: Use the bubble sort technique to reorder 87, 89, 12, -65, -27 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [87, 89, 12, -65, -27]

Pass 1:
  Compare 87 and 89
  No swap needed
  Compare 89 and 12
  Swap 89 and 12
  List after swap: [87, 12, 89, -65, -27]
  Compare 89 and -65
  Swap 89 and -65
  List after swap: [87, 12, -65, 89, -27]
  Compare 89 and -27
  Swap 89 and -27
  List after swap: [87, 12, -65, -27, 89]

Pass 2:
  Compare 87 and 12
  Swap 87 and 12
  List after swap: [12, 87, -65, -27, 89]
  Compare 87 and -65
  Swap 87 and -65
  List after swap: [12, -65, 87, -27, 89]
  Compare 87 and -27
  Swap 87 and -27
  List after swap: [12, -65, -27, 87, 89]

Pass 3:
  Compare 12 and -65
  Swap 12 and -65
  List after swap: [-65, 12, -27, 87, 89]
  Compare 12 and -27
  Swap 12 and -27
  List after swap: [-65, -27, 12, 87, 89]

Pass 4:
  Compare -65 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -27, 12, 87, 89]
</think>

<response>-65, -27, 12, 87, 89</response>


input: Sort the list 83, 20, -6, -33, 62, 26, -23, -65, -47, -97 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [83, 20, -6, -33, 62, 26, -23, -65, -47, -97]

Pass 1:
  Compare 83 and 20
  Swap 83 and 20
  List after swap: [20, 83, -6, -33, 62, 26, -23, -65, -47, -97]
  Compare 83 and -6
  Swap 83 and -6
  List after swap: [20, -6, 83, -33, 62, 26, -23, -65, -47, -97]
  Compare 83 and -33
  Swap 83 and -33
  List after swap: [20, -6, -33, 83, 62, 26, -23, -65, -47, -97]
  Compare 83 and 62
  Swap 83 and 62
  List after swap: [20, -6, -33, 62, 83, 26, -23, -65, -47, -97]
  Compare 83 and 26
  Swap 83 and 26
  List after swap: [20, -6, -33, 62, 26, 83, -23, -65, -47, -97]
  Compare 83 and -23
  Swap 83 and -23
  List after swap: [20, -6, -33, 62, 26, -23, 83, -65, -47, -97]
  Compare 83 and -65
  Swap 83 and -65
  List after swap: [20, -6, -33, 62, 26, -23, -65, 83, -47, -97]
  Compare 83 and -47
  Swap 83 and -47
  List after swap: [20, -6, -33, 62, 26, -23, -65, -47, 83, -97]
  Compare 83 and -97
  Swap 83 and -97
  List after swap: [20, -6, -33, 62, 26, -23, -65, -47, -97, 83]

Pass 2:
  Compare 20 and -6
  Swap 20 and -6
  List after swap: [-6, 20, -33, 62, 26, -23, -65, -47, -97, 83]
  Compare 20 and -33
  Swap 20 and -33
  List after swap: [-6, -33, 20, 62, 26, -23, -65, -47, -97, 83]
  Compare 20 and 62
  No swap needed
  Compare 62 and 26
  Swap 62 and 26
  List after swap: [-6, -33, 20, 26, 62, -23, -65, -47, -97, 83]
  Compare 62 and -23
  Swap 62 and -23
  List after swap: [-6, -33, 20, 26, -23, 62, -65, -47, -97, 83]
  Compare 62 and -65
  Swap 62 and -65
  List after swap: [-6, -33, 20, 26, -23, -65, 62, -47, -97, 83]
  Compare 62 and -47
  Swap 62 and -47
  List after swap: [-6, -33, 20, 26, -23, -65, -47, 62, -97, 83]
  Compare 62 and -97
  Swap 62 and -97
  List after swap: [-6, -33, 20, 26, -23, -65, -47, -97, 62, 83]

Pass 3:
  Compare -6 and -33
  Swap -6 and -33
  List after swap: [-33, -6, 20, 26, -23, -65, -47, -97, 62, 83]
  Compare -6 and 20
  No swap needed
  Compare 20 and 26
  No swap needed
  Compare 26 and -23
  Swap 26 and -23
  List after swap: [-33, -6, 20, -23, 26, -65, -47, -97, 62, 83]
  Compare 26 and -65
  Swap 26 and -65
  List after swap: [-33, -6, 20, -23, -65, 26, -47, -97, 62, 83]
  Compare 26 and -47
  Swap 26 and -47
  List after swap: [-33, -6, 20, -23, -65, -47, 26, -97, 62, 83]
  Compare 26 and -97
  Swap 26 and -97
  List after swap: [-33, -6, 20, -23, -65, -47, -97, 26, 62, 83]

Pass 4:
  Compare -33 and -6
  No swap needed
  Compare -6 and 20
  No swap needed
  Compare 20 and -23
  Swap 20 and -23
  List after swap: [-33, -6, -23, 20, -65, -47, -97, 26, 62, 83]
  Compare 20 and -65
  Swap 20 and -65
  List after swap: [-33, -6, -23, -65, 20, -47, -97, 26, 62, 83]
  Compare 20 and -47
  Swap 20 and -47
  List after swap: [-33, -6, -23, -65, -47, 20, -97, 26, 62, 83]
  Compare 20 and -97
  Swap 20 and -97
  List after swap: [-33, -6, -23, -65, -47, -97, 20, 26, 62, 83]

Pass 5:
  Compare -33 and -6
  No swap needed
  Compare -6 and -23
  Swap -6 and -23
  List after swap: [-33, -23, -6, -65, -47, -97, 20, 26, 62, 83]
  Compare -6 and -65
  Swap -6 and -65
  List after swap: [-33, -23, -65, -6, -47, -97, 20, 26, 62, 83]
  Compare -6 and -47
  Swap -6 and -47
  List after swap: [-33, -23, -65, -47, -6, -97, 20, 26, 62, 83]
  Compare -6 and -97
  Swap -6 and -97
  List after swap: [-33, -23, -65, -47, -97, -6, 20, 26, 62, 83]

Pass 6:
  Compare -33 and -23
  No swap needed
  Compare -23 and -65
  Swap -23 and -65
  List after swap: [-33, -65, -23, -47, -97, -6, 20, 26, 62, 83]
  Compare -23 and -47
  Swap -23 and -47
  List after swap: [-33, -65, -47, -23, -97, -6, 20, 26, 62, 83]
  Compare -23 and -97
  Swap -23 and -97
  List after swap: [-33, -65, -47, -97, -23, -6, 20, 26, 62, 83]

Pass 7:
  Compare -33 and -65
  Swap -33 and -65
  List after swap: [-65, -33, -47, -97, -23, -6, 20, 26, 62, 83]
  Compare -33 and -47
  Swap -33 and -47
  List after swap: [-65, -47, -33, -97, -23, -6, 20, 26, 62, 83]
  Compare -33 and -97
  Swap -33 and -97
  List after swap: [-65, -47, -97, -33, -23, -6, 20, 26, 62, 83]

Pass 8:
  Compare -65 and -47
  No swap needed
  Compare -47 and -97
  Swap -47 and -97
  List after swap: [-65, -97, -47, -33, -23, -6, 20, 26, 62, 83]

Pass 9:
  Compare -65 and -97
  Swap -65 and -97
  List after swap: [-97, -65, -47, -33, -23, -6, 20, 26, 62, 83]

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

Final sorted list: [-97, -65, -47, -33, -23, -6, 20, 26, 62, 83]
</think>

<response>-97, -65, -47, -33, -23, -6, 20, 26, 62, 83</response>


input: Using the bubble sort method, sort -28, -100, 91, -23, -19, 60 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-28, -100, 91, -23, -19, 60]

Pass 1:
  Compare -28 and -100
  Swap -28 and -100
  List after swap: [-100, -28, 91, -23, -19, 60]
  Compare -28 and 91
  No swap needed
  Compare 91 and -23
  Swap 91 and -23
  List after swap: [-100, -28, -23, 91, -19, 60]
  Compare 91 and -19
  Swap 91 and -19
  List after swap: [-100, -28, -23, -19, 91, 60]
  Compare 91 and 60
  Swap 91 and 60
  List after swap: [-100, -28, -23, -19, 60, 91]

Pass 2:
  Compare -100 and -28
  No swap needed
  Compare -28 and -23
  No swap needed
  Compare -23 and -19
  No swap needed
  Compare -19 and 60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -28, -23, -19, 60, 91]
</think>

<response>-100, -28, -23, -19, 60, 91</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 73, -68, 1.

output:
<think>
Initial list: [73, -68, 1]

Pass 1:
  Compare 73 and -68
  Swap 73 and -68
  List after swap: [-68, 73, 1]
  Compare 73 and 1
  Swap 73 and 1
  List after swap: [-68, 1, 73]

Pass 2:
  Compare -68 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, 1, 73]
</think>

<response>-68, 1, 73</response>


input: Use the bubble sort technique to reorder -27, 34, 9, 23 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-27, 34, 9, 23]

Pass 1:
  Compare -27 and 34
  No swap needed
  Compare 34 and 9
  Swap 34 and 9
  List after swap: [-27, 9, 34, 23]
  Compare 34 and 23
  Swap 34 and 23
  List after swap: [-27, 9, 23, 34]

Pass 2:
  Compare -27 and 9
  No swap needed
  Compare 9 and 23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-27, 9, 23, 34]
</think>

<response>-27, 9, 23, 34</response>