input: Implement bubble sort on 77, 72, -26, 36, 39, 57 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [77, 72, -26, 36, 39, 57]

Pass 1:
  Compare 77 and 72
  Swap 77 and 72
  List after swap: [72, 77, -26, 36, 39, 57]
  Compare 77 and -26
  Swap 77 and -26
  List after swap: [72, -26, 77, 36, 39, 57]
  Compare 77 and 36
  Swap 77 and 36
  List after swap: [72, -26, 36, 77, 39, 57]
  Compare 77 and 39
  Swap 77 and 39
  List after swap: [72, -26, 36, 39, 77, 57]
  Compare 77 and 57
  Swap 77 and 57
  List after swap: [72, -26, 36, 39, 57, 77]

Pass 2:
  Compare 72 and -26
  Swap 72 and -26
  List after swap: [-26, 72, 36, 39, 57, 77]
  Compare 72 and 36
  Swap 72 and 36
  List after swap: [-26, 36, 72, 39, 57, 77]
  Compare 72 and 39
  Swap 72 and 39
  List after swap: [-26, 36, 39, 72, 57, 77]
  Compare 72 and 57
  Swap 72 and 57
  List after swap: [-26, 36, 39, 57, 72, 77]

Pass 3:
  Compare -26 and 36
  No swap needed
  Compare 36 and 39
  No swap needed
  Compare 39 and 57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-26, 36, 39, 57, 72, 77]
</think>

<response>-26, 36, 39, 57, 72, 77</response>


input: Arrange the numbers -29, -71, 30, 2 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-29, -71, 30, 2]

Pass 1:
  Compare -29 and -71
  Swap -29 and -71
  List after swap: [-71, -29, 30, 2]
  Compare -29 and 30
  No swap needed
  Compare 30 and 2
  Swap 30 and 2
  List after swap: [-71, -29, 2, 30]

Pass 2:
  Compare -71 and -29
  No swap needed
  Compare -29 and 2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -29, 2, 30]
</think>

<response>-71, -29, 2, 30</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -67, 1, 58, 22.

output:
<think>
Initial list: [-67, 1, 58, 22]

Pass 1:
  Compare -67 and 1
  No swap needed
  Compare 1 and 58
  No swap needed
  Compare 58 and 22
  Swap 58 and 22
  List after swap: [-67, 1, 22, 58]

Pass 2:
  Compare -67 and 1
  No swap needed
  Compare 1 and 22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, 1, 22, 58]
</think>

<response>-67, 1, 22, 58</response>


input: Perform a bubble sort on the integers 92, -71, 20, 23, 59, -89, 66, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [92, -71, 20, 23, 59, -89, 66]

Pass 1:
  Compare 92 and -71
  Swap 92 and -71
  List after swap: [-71, 92, 20, 23, 59, -89, 66]
  Compare 92 and 20
  Swap 92 and 20
  List after swap: [-71, 20, 92, 23, 59, -89, 66]
  Compare 92 and 23
  Swap 92 and 23
  List after swap: [-71, 20, 23, 92, 59, -89, 66]
  Compare 92 and 59
  Swap 92 and 59
  List after swap: [-71, 20, 23, 59, 92, -89, 66]
  Compare 92 and -89
  Swap 92 and -89
  List after swap: [-71, 20, 23, 59, -89, 92, 66]
  Compare 92 and 66
  Swap 92 and 66
  List after swap: [-71, 20, 23, 59, -89, 66, 92]

Pass 2:
  Compare -71 and 20
  No swap needed
  Compare 20 and 23
  No swap needed
  Compare 23 and 59
  No swap needed
  Compare 59 and -89
  Swap 59 and -89
  List after swap: [-71, 20, 23, -89, 59, 66, 92]
  Compare 59 and 66
  No swap needed

Pass 3:
  Compare -71 and 20
  No swap needed
  Compare 20 and 23
  No swap needed
  Compare 23 and -89
  Swap 23 and -89
  List after swap: [-71, 20, -89, 23, 59, 66, 92]
  Compare 23 and 59
  No swap needed

Pass 4:
  Compare -71 and 20
  No swap needed
  Compare 20 and -89
  Swap 20 and -89
  List after swap: [-71, -89, 20, 23, 59, 66, 92]
  Compare 20 and 23
  No swap needed

Pass 5:
  Compare -71 and -89
  Swap -71 and -89
  List after swap: [-89, -71, 20, 23, 59, 66, 92]
  Compare -71 and 20
  No swap needed

Pass 6:
  Compare -89 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -71, 20, 23, 59, 66, 92]
</think>

<response>-89, -71, 20, 23, 59, 66, 92</response>


input: Sort the list 0, -50, -86, 23, 89, -28, -90, -16, 48 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [0, -50, -86, 23, 89, -28, -90, -16, 48]

Pass 1:
  Compare 0 and -50
  Swap 0 and -50
  List after swap: [-50, 0, -86, 23, 89, -28, -90, -16, 48]
  Compare 0 and -86
  Swap 0 and -86
  List after swap: [-50, -86, 0, 23, 89, -28, -90, -16, 48]
  Compare 0 and 23
  No swap needed
  Compare 23 and 89
  No swap needed
  Compare 89 and -28
  Swap 89 and -28
  List after swap: [-50, -86, 0, 23, -28, 89, -90, -16, 48]
  Compare 89 and -90
  Swap 89 and -90
  List after swap: [-50, -86, 0, 23, -28, -90, 89, -16, 48]
  Compare 89 and -16
  Swap 89 and -16
  List after swap: [-50, -86, 0, 23, -28, -90, -16, 89, 48]
  Compare 89 and 48
  Swap 89 and 48
  List after swap: [-50, -86, 0, 23, -28, -90, -16, 48, 89]

Pass 2:
  Compare -50 and -86
  Swap -50 and -86
  List after swap: [-86, -50, 0, 23, -28, -90, -16, 48, 89]
  Compare -50 and 0
  No swap needed
  Compare 0 and 23
  No swap needed
  Compare 23 and -28
  Swap 23 and -28
  List after swap: [-86, -50, 0, -28, 23, -90, -16, 48, 89]
  Compare 23 and -90
  Swap 23 and -90
  List after swap: [-86, -50, 0, -28, -90, 23, -16, 48, 89]
  Compare 23 and -16
  Swap 23 and -16
  List after swap: [-86, -50, 0, -28, -90, -16, 23, 48, 89]
  Compare 23 and 48
  No swap needed

Pass 3:
  Compare -86 and -50
  No swap needed
  Compare -50 and 0
  No swap needed
  Compare 0 and -28
  Swap 0 and -28
  List after swap: [-86, -50, -28, 0, -90, -16, 23, 48, 89]
  Compare 0 and -90
  Swap 0 and -90
  List after swap: [-86, -50, -28, -90, 0, -16, 23, 48, 89]
  Compare 0 and -16
  Swap 0 and -16
  List after swap: [-86, -50, -28, -90, -16, 0, 23, 48, 89]
  Compare 0 and 23
  No swap needed

Pass 4:
  Compare -86 and -50
  No swap needed
  Compare -50 and -28
  No swap needed
  Compare -28 and -90
  Swap -28 and -90
  List after swap: [-86, -50, -90, -28, -16, 0, 23, 48, 89]
  Compare -28 and -16
  No swap needed
  Compare -16 and 0
  No swap needed

Pass 5:
  Compare -86 and -50
  No swap needed
  Compare -50 and -90
  Swap -50 and -90
  List after swap: [-86, -90, -50, -28, -16, 0, 23, 48, 89]
  Compare -50 and -28
  No swap needed
  Compare -28 and -16
  No swap needed

Pass 6:
  Compare -86 and -90
  Swap -86 and -90
  List after swap: [-90, -86, -50, -28, -16, 0, 23, 48, 89]
  Compare -86 and -50
  No swap needed
  Compare -50 and -28
  No swap needed

Pass 7:
  Compare -90 and -86
  No swap needed
  Compare -86 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -86, -50, -28, -16, 0, 23, 48, 89]
</think>

<response>-90, -86, -50, -28, -16, 0, 23, 48, 89</response>


input: Arrange the numbers 8, 87, 72, 2, 30, -91, -63, 20 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [8, 87, 72, 2, 30, -91, -63, 20]

Pass 1:
  Compare 8 and 87
  No swap needed
  Compare 87 and 72
  Swap 87 and 72
  List after swap: [8, 72, 87, 2, 30, -91, -63, 20]
  Compare 87 and 2
  Swap 87 and 2
  List after swap: [8, 72, 2, 87, 30, -91, -63, 20]
  Compare 87 and 30
  Swap 87 and 30
  List after swap: [8, 72, 2, 30, 87, -91, -63, 20]
  Compare 87 and -91
  Swap 87 and -91
  List after swap: [8, 72, 2, 30, -91, 87, -63, 20]
  Compare 87 and -63
  Swap 87 and -63
  List after swap: [8, 72, 2, 30, -91, -63, 87, 20]
  Compare 87 and 20
  Swap 87 and 20
  List after swap: [8, 72, 2, 30, -91, -63, 20, 87]

Pass 2:
  Compare 8 and 72
  No swap needed
  Compare 72 and 2
  Swap 72 and 2
  List after swap: [8, 2, 72, 30, -91, -63, 20, 87]
  Compare 72 and 30
  Swap 72 and 30
  List after swap: [8, 2, 30, 72, -91, -63, 20, 87]
  Compare 72 and -91
  Swap 72 and -91
  List after swap: [8, 2, 30, -91, 72, -63, 20, 87]
  Compare 72 and -63
  Swap 72 and -63
  List after swap: [8, 2, 30, -91, -63, 72, 20, 87]
  Compare 72 and 20
  Swap 72 and 20
  List after swap: [8, 2, 30, -91, -63, 20, 72, 87]

Pass 3:
  Compare 8 and 2
  Swap 8 and 2
  List after swap: [2, 8, 30, -91, -63, 20, 72, 87]
  Compare 8 and 30
  No swap needed
  Compare 30 and -91
  Swap 30 and -91
  List after swap: [2, 8, -91, 30, -63, 20, 72, 87]
  Compare 30 and -63
  Swap 30 and -63
  List after swap: [2, 8, -91, -63, 30, 20, 72, 87]
  Compare 30 and 20
  Swap 30 and 20
  List after swap: [2, 8, -91, -63, 20, 30, 72, 87]

Pass 4:
  Compare 2 and 8
  No swap needed
  Compare 8 and -91
  Swap 8 and -91
  List after swap: [2, -91, 8, -63, 20, 30, 72, 87]
  Compare 8 and -63
  Swap 8 and -63
  List after swap: [2, -91, -63, 8, 20, 30, 72, 87]
  Compare 8 and 20
  No swap needed

Pass 5:
  Compare 2 and -91
  Swap 2 and -91
  List after swap: [-91, 2, -63, 8, 20, 30, 72, 87]
  Compare 2 and -63
  Swap 2 and -63
  List after swap: [-91, -63, 2, 8, 20, 30, 72, 87]
  Compare 2 and 8
  No swap needed

Pass 6:
  Compare -91 and -63
  No swap needed
  Compare -63 and 2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -63, 2, 8, 20, 30, 72, 87]
</think>

<response>-91, -63, 2, 8, 20, 30, 72, 87</response>


input: Sort these integers 84, 29, -46, -15, 32, -71, 18, -68, -66 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [84, 29, -46, -15, 32, -71, 18, -68, -66]

Pass 1:
  Compare 84 and 29
  Swap 84 and 29
  List after swap: [29, 84, -46, -15, 32, -71, 18, -68, -66]
  Compare 84 and -46
  Swap 84 and -46
  List after swap: [29, -46, 84, -15, 32, -71, 18, -68, -66]
  Compare 84 and -15
  Swap 84 and -15
  List after swap: [29, -46, -15, 84, 32, -71, 18, -68, -66]
  Compare 84 and 32
  Swap 84 and 32
  List after swap: [29, -46, -15, 32, 84, -71, 18, -68, -66]
  Compare 84 and -71
  Swap 84 and -71
  List after swap: [29, -46, -15, 32, -71, 84, 18, -68, -66]
  Compare 84 and 18
  Swap 84 and 18
  List after swap: [29, -46, -15, 32, -71, 18, 84, -68, -66]
  Compare 84 and -68
  Swap 84 and -68
  List after swap: [29, -46, -15, 32, -71, 18, -68, 84, -66]
  Compare 84 and -66
  Swap 84 and -66
  List after swap: [29, -46, -15, 32, -71, 18, -68, -66, 84]

Pass 2:
  Compare 29 and -46
  Swap 29 and -46
  List after swap: [-46, 29, -15, 32, -71, 18, -68, -66, 84]
  Compare 29 and -15
  Swap 29 and -15
  List after swap: [-46, -15, 29, 32, -71, 18, -68, -66, 84]
  Compare 29 and 32
  No swap needed
  Compare 32 and -71
  Swap 32 and -71
  List after swap: [-46, -15, 29, -71, 32, 18, -68, -66, 84]
  Compare 32 and 18
  Swap 32 and 18
  List after swap: [-46, -15, 29, -71, 18, 32, -68, -66, 84]
  Compare 32 and -68
  Swap 32 and -68
  List after swap: [-46, -15, 29, -71, 18, -68, 32, -66, 84]
  Compare 32 and -66
  Swap 32 and -66
  List after swap: [-46, -15, 29, -71, 18, -68, -66, 32, 84]

Pass 3:
  Compare -46 and -15
  No swap needed
  Compare -15 and 29
  No swap needed
  Compare 29 and -71
  Swap 29 and -71
  List after swap: [-46, -15, -71, 29, 18, -68, -66, 32, 84]
  Compare 29 and 18
  Swap 29 and 18
  List after swap: [-46, -15, -71, 18, 29, -68, -66, 32, 84]
  Compare 29 and -68
  Swap 29 and -68
  List after swap: [-46, -15, -71, 18, -68, 29, -66, 32, 84]
  Compare 29 and -66
  Swap 29 and -66
  List after swap: [-46, -15, -71, 18, -68, -66, 29, 32, 84]

Pass 4:
  Compare -46 and -15
  No swap needed
  Compare -15 and -71
  Swap -15 and -71
  List after swap: [-46, -71, -15, 18, -68, -66, 29, 32, 84]
  Compare -15 and 18
  No swap needed
  Compare 18 and -68
  Swap 18 and -68
  List after swap: [-46, -71, -15, -68, 18, -66, 29, 32, 84]
  Compare 18 and -66
  Swap 18 and -66
  List after swap: [-46, -71, -15, -68, -66, 18, 29, 32, 84]

Pass 5:
  Compare -46 and -71
  Swap -46 and -71
  List after swap: [-71, -46, -15, -68, -66, 18, 29, 32, 84]
  Compare -46 and -15
  No swap needed
  Compare -15 and -68
  Swap -15 and -68
  List after swap: [-71, -46, -68, -15, -66, 18, 29, 32, 84]
  Compare -15 and -66
  Swap -15 and -66
  List after swap: [-71, -46, -68, -66, -15, 18, 29, 32, 84]

Pass 6:
  Compare -71 and -46
  No swap needed
  Compare -46 and -68
  Swap -46 and -68
  List after swap: [-71, -68, -46, -66, -15, 18, 29, 32, 84]
  Compare -46 and -66
  Swap -46 and -66
  List after swap: [-71, -68, -66, -46, -15, 18, 29, 32, 84]

Pass 7:
  Compare -71 and -68
  No swap needed
  Compare -68 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -68, -66, -46, -15, 18, 29, 32, 84]
</think>

<response>-71, -68, -66, -46, -15, 18, 29, 32, 84</response>


input: Use the bubble sort technique to reorder -88, 52, -74, 7, 47, -21 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-88, 52, -74, 7, 47, -21]

Pass 1:
  Compare -88 and 52
  No swap needed
  Compare 52 and -74
  Swap 52 and -74
  List after swap: [-88, -74, 52, 7, 47, -21]
  Compare 52 and 7
  Swap 52 and 7
  List after swap: [-88, -74, 7, 52, 47, -21]
  Compare 52 and 47
  Swap 52 and 47
  List after swap: [-88, -74, 7, 47, 52, -21]
  Compare 52 and -21
  Swap 52 and -21
  List after swap: [-88, -74, 7, 47, -21, 52]

Pass 2:
  Compare -88 and -74
  No swap needed
  Compare -74 and 7
  No swap needed
  Compare 7 and 47
  No swap needed
  Compare 47 and -21
  Swap 47 and -21
  List after swap: [-88, -74, 7, -21, 47, 52]

Pass 3:
  Compare -88 and -74
  No swap needed
  Compare -74 and 7
  No swap needed
  Compare 7 and -21
  Swap 7 and -21
  List after swap: [-88, -74, -21, 7, 47, 52]

Pass 4:
  Compare -88 and -74
  No swap needed
  Compare -74 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -74, -21, 7, 47, 52]
</think>

<response>-88, -74, -21, 7, 47, 52</response>


input: Demonstrate how bubble sort orders the integers -97, 75, 2 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-97, 75, 2]

Pass 1:
  Compare -97 and 75
  No swap needed
  Compare 75 and 2
  Swap 75 and 2
  List after swap: [-97, 2, 75]

Pass 2:
  Compare -97 and 2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, 2, 75]
</think>

<response>-97, 2, 75</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 82, 26.

output:
<think>
Initial list: [82, 26]

Pass 1:
  Compare 82 and 26
  Swap 82 and 26
  List after swap: [26, 82]

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

Final sorted list: [26, 82]
</think>

<response>26, 82</response>


input: Carry out the bubble sort algorithm on -12, 92, -18, -60, 72, 31 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-12, 92, -18, -60, 72, 31]

Pass 1:
  Compare -12 and 92
  No swap needed
  Compare 92 and -18
  Swap 92 and -18
  List after swap: [-12, -18, 92, -60, 72, 31]
  Compare 92 and -60
  Swap 92 and -60
  List after swap: [-12, -18, -60, 92, 72, 31]
  Compare 92 and 72
  Swap 92 and 72
  List after swap: [-12, -18, -60, 72, 92, 31]
  Compare 92 and 31
  Swap 92 and 31
  List after swap: [-12, -18, -60, 72, 31, 92]

Pass 2:
  Compare -12 and -18
  Swap -12 and -18
  List after swap: [-18, -12, -60, 72, 31, 92]
  Compare -12 and -60
  Swap -12 and -60
  List after swap: [-18, -60, -12, 72, 31, 92]
  Compare -12 and 72
  No swap needed
  Compare 72 and 31
  Swap 72 and 31
  List after swap: [-18, -60, -12, 31, 72, 92]

Pass 3:
  Compare -18 and -60
  Swap -18 and -60
  List after swap: [-60, -18, -12, 31, 72, 92]
  Compare -18 and -12
  No swap needed
  Compare -12 and 31
  No swap needed

Pass 4:
  Compare -60 and -18
  No swap needed
  Compare -18 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -18, -12, 31, 72, 92]
</think>

<response>-60, -18, -12, 31, 72, 92</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -68, 16, -79, -35.

output:
<think>
Initial list: [-68, 16, -79, -35]

Pass 1:
  Compare -68 and 16
  No swap needed
  Compare 16 and -79
  Swap 16 and -79
  List after swap: [-68, -79, 16, -35]
  Compare 16 and -35
  Swap 16 and -35
  List after swap: [-68, -79, -35, 16]

Pass 2:
  Compare -68 and -79
  Swap -68 and -79
  List after swap: [-79, -68, -35, 16]
  Compare -68 and -35
  No swap needed

Pass 3:
  Compare -79 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -68, -35, 16]
</think>

<response>-79, -68, -35, 16</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -90, 80, -50, 17.

output:
<think>
Initial list: [-90, 80, -50, 17]

Pass 1:
  Compare -90 and 80
  No swap needed
  Compare 80 and -50
  Swap 80 and -50
  List after swap: [-90, -50, 80, 17]
  Compare 80 and 17
  Swap 80 and 17
  List after swap: [-90, -50, 17, 80]

Pass 2:
  Compare -90 and -50
  No swap needed
  Compare -50 and 17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -50, 17, 80]
</think>

<response>-90, -50, 17, 80</response>


input: Perform a bubble sort on the integers 84, 91, 54, -59, -62, 92, -7, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [84, 91, 54, -59, -62, 92, -7]

Pass 1:
  Compare 84 and 91
  No swap needed
  Compare 91 and 54
  Swap 91 and 54
  List after swap: [84, 54, 91, -59, -62, 92, -7]
  Compare 91 and -59
  Swap 91 and -59
  List after swap: [84, 54, -59, 91, -62, 92, -7]
  Compare 91 and -62
  Swap 91 and -62
  List after swap: [84, 54, -59, -62, 91, 92, -7]
  Compare 91 and 92
  No swap needed
  Compare 92 and -7
  Swap 92 and -7
  List after swap: [84, 54, -59, -62, 91, -7, 92]

Pass 2:
  Compare 84 and 54
  Swap 84 and 54
  List after swap: [54, 84, -59, -62, 91, -7, 92]
  Compare 84 and -59
  Swap 84 and -59
  List after swap: [54, -59, 84, -62, 91, -7, 92]
  Compare 84 and -62
  Swap 84 and -62
  List after swap: [54, -59, -62, 84, 91, -7, 92]
  Compare 84 and 91
  No swap needed
  Compare 91 and -7
  Swap 91 and -7
  List after swap: [54, -59, -62, 84, -7, 91, 92]

Pass 3:
  Compare 54 and -59
  Swap 54 and -59
  List after swap: [-59, 54, -62, 84, -7, 91, 92]
  Compare 54 and -62
  Swap 54 and -62
  List after swap: [-59, -62, 54, 84, -7, 91, 92]
  Compare 54 and 84
  No swap needed
  Compare 84 and -7
  Swap 84 and -7
  List after swap: [-59, -62, 54, -7, 84, 91, 92]

Pass 4:
  Compare -59 and -62
  Swap -59 and -62
  List after swap: [-62, -59, 54, -7, 84, 91, 92]
  Compare -59 and 54
  No swap needed
  Compare 54 and -7
  Swap 54 and -7
  List after swap: [-62, -59, -7, 54, 84, 91, 92]

Pass 5:
  Compare -62 and -59
  No swap needed
  Compare -59 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -59, -7, 54, 84, 91, 92]
</think>

<response>-62, -59, -7, 54, 84, 91, 92</response>


input: Using the bubble sort method, sort -28, 38, 78, -92, 95, -95, 34 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-28, 38, 78, -92, 95, -95, 34]

Pass 1:
  Compare -28 and 38
  No swap needed
  Compare 38 and 78
  No swap needed
  Compare 78 and -92
  Swap 78 and -92
  List after swap: [-28, 38, -92, 78, 95, -95, 34]
  Compare 78 and 95
  No swap needed
  Compare 95 and -95
  Swap 95 and -95
  List after swap: [-28, 38, -92, 78, -95, 95, 34]
  Compare 95 and 34
  Swap 95 and 34
  List after swap: [-28, 38, -92, 78, -95, 34, 95]

Pass 2:
  Compare -28 and 38
  No swap needed
  Compare 38 and -92
  Swap 38 and -92
  List after swap: [-28, -92, 38, 78, -95, 34, 95]
  Compare 38 and 78
  No swap needed
  Compare 78 and -95
  Swap 78 and -95
  List after swap: [-28, -92, 38, -95, 78, 34, 95]
  Compare 78 and 34
  Swap 78 and 34
  List after swap: [-28, -92, 38, -95, 34, 78, 95]

Pass 3:
  Compare -28 and -92
  Swap -28 and -92
  List after swap: [-92, -28, 38, -95, 34, 78, 95]
  Compare -28 and 38
  No swap needed
  Compare 38 and -95
  Swap 38 and -95
  List after swap: [-92, -28, -95, 38, 34, 78, 95]
  Compare 38 and 34
  Swap 38 and 34
  List after swap: [-92, -28, -95, 34, 38, 78, 95]

Pass 4:
  Compare -92 and -28
  No swap needed
  Compare -28 and -95
  Swap -28 and -95
  List after swap: [-92, -95, -28, 34, 38, 78, 95]
  Compare -28 and 34
  No swap needed

Pass 5:
  Compare -92 and -95
  Swap -92 and -95
  List after swap: [-95, -92, -28, 34, 38, 78, 95]
  Compare -92 and -28
  No swap needed

Pass 6:
  Compare -95 and -92
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -92, -28, 34, 38, 78, 95]
</think>

<response>-95, -92, -28, 34, 38, 78, 95</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 3, -50, -25, -30, 33.

output:
<think>
Initial list: [3, -50, -25, -30, 33]

Pass 1:
  Compare 3 and -50
  Swap 3 and -50
  List after swap: [-50, 3, -25, -30, 33]
  Compare 3 and -25
  Swap 3 and -25
  List after swap: [-50, -25, 3, -30, 33]
  Compare 3 and -30
  Swap 3 and -30
  List after swap: [-50, -25, -30, 3, 33]
  Compare 3 and 33
  No swap needed

Pass 2:
  Compare -50 and -25
  No swap needed
  Compare -25 and -30
  Swap -25 and -30
  List after swap: [-50, -30, -25, 3, 33]
  Compare -25 and 3
  No swap needed

Pass 3:
  Compare -50 and -30
  No swap needed
  Compare -30 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, -30, -25, 3, 33]
</think>

<response>-50, -30, -25, 3, 33</response>


input: Use the bubble sort technique to reorder 16, -86, -71, 2, 15, 67, -91, -54, -13 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [16, -86, -71, 2, 15, 67, -91, -54, -13]

Pass 1:
  Compare 16 and -86
  Swap 16 and -86
  List after swap: [-86, 16, -71, 2, 15, 67, -91, -54, -13]
  Compare 16 and -71
  Swap 16 and -71
  List after swap: [-86, -71, 16, 2, 15, 67, -91, -54, -13]
  Compare 16 and 2
  Swap 16 and 2
  List after swap: [-86, -71, 2, 16, 15, 67, -91, -54, -13]
  Compare 16 and 15
  Swap 16 and 15
  List after swap: [-86, -71, 2, 15, 16, 67, -91, -54, -13]
  Compare 16 and 67
  No swap needed
  Compare 67 and -91
  Swap 67 and -91
  List after swap: [-86, -71, 2, 15, 16, -91, 67, -54, -13]
  Compare 67 and -54
  Swap 67 and -54
  List after swap: [-86, -71, 2, 15, 16, -91, -54, 67, -13]
  Compare 67 and -13
  Swap 67 and -13
  List after swap: [-86, -71, 2, 15, 16, -91, -54, -13, 67]

Pass 2:
  Compare -86 and -71
  No swap needed
  Compare -71 and 2
  No swap needed
  Compare 2 and 15
  No swap needed
  Compare 15 and 16
  No swap needed
  Compare 16 and -91
  Swap 16 and -91
  List after swap: [-86, -71, 2, 15, -91, 16, -54, -13, 67]
  Compare 16 and -54
  Swap 16 and -54
  List after swap: [-86, -71, 2, 15, -91, -54, 16, -13, 67]
  Compare 16 and -13
  Swap 16 and -13
  List after swap: [-86, -71, 2, 15, -91, -54, -13, 16, 67]

Pass 3:
  Compare -86 and -71
  No swap needed
  Compare -71 and 2
  No swap needed
  Compare 2 and 15
  No swap needed
  Compare 15 and -91
  Swap 15 and -91
  List after swap: [-86, -71, 2, -91, 15, -54, -13, 16, 67]
  Compare 15 and -54
  Swap 15 and -54
  List after swap: [-86, -71, 2, -91, -54, 15, -13, 16, 67]
  Compare 15 and -13
  Swap 15 and -13
  List after swap: [-86, -71, 2, -91, -54, -13, 15, 16, 67]

Pass 4:
  Compare -86 and -71
  No swap needed
  Compare -71 and 2
  No swap needed
  Compare 2 and -91
  Swap 2 and -91
  List after swap: [-86, -71, -91, 2, -54, -13, 15, 16, 67]
  Compare 2 and -54
  Swap 2 and -54
  List after swap: [-86, -71, -91, -54, 2, -13, 15, 16, 67]
  Compare 2 and -13
  Swap 2 and -13
  List after swap: [-86, -71, -91, -54, -13, 2, 15, 16, 67]

Pass 5:
  Compare -86 and -71
  No swap needed
  Compare -71 and -91
  Swap -71 and -91
  List after swap: [-86, -91, -71, -54, -13, 2, 15, 16, 67]
  Compare -71 and -54
  No swap needed
  Compare -54 and -13
  No swap needed

Pass 6:
  Compare -86 and -91
  Swap -86 and -91
  List after swap: [-91, -86, -71, -54, -13, 2, 15, 16, 67]
  Compare -86 and -71
  No swap needed
  Compare -71 and -54
  No swap needed

Pass 7:
  Compare -91 and -86
  No swap needed
  Compare -86 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -86, -71, -54, -13, 2, 15, 16, 67]
</think>

<response>-91, -86, -71, -54, -13, 2, 15, 16, 67</response>


input: Using the bubble sort method, sort 85, -4, -6, -16, 55, -30, -96, -67, 2, 24 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [85, -4, -6, -16, 55, -30, -96, -67, 2, 24]

Pass 1:
  Compare 85 and -4
  Swap 85 and -4
  List after swap: [-4, 85, -6, -16, 55, -30, -96, -67, 2, 24]
  Compare 85 and -6
  Swap 85 and -6
  List after swap: [-4, -6, 85, -16, 55, -30, -96, -67, 2, 24]
  Compare 85 and -16
  Swap 85 and -16
  List after swap: [-4, -6, -16, 85, 55, -30, -96, -67, 2, 24]
  Compare 85 and 55
  Swap 85 and 55
  List after swap: [-4, -6, -16, 55, 85, -30, -96, -67, 2, 24]
  Compare 85 and -30
  Swap 85 and -30
  List after swap: [-4, -6, -16, 55, -30, 85, -96, -67, 2, 24]
  Compare 85 and -96
  Swap 85 and -96
  List after swap: [-4, -6, -16, 55, -30, -96, 85, -67, 2, 24]
  Compare 85 and -67
  Swap 85 and -67
  List after swap: [-4, -6, -16, 55, -30, -96, -67, 85, 2, 24]
  Compare 85 and 2
  Swap 85 and 2
  List after swap: [-4, -6, -16, 55, -30, -96, -67, 2, 85, 24]
  Compare 85 and 24
  Swap 85 and 24
  List after swap: [-4, -6, -16, 55, -30, -96, -67, 2, 24, 85]

Pass 2:
  Compare -4 and -6
  Swap -4 and -6
  List after swap: [-6, -4, -16, 55, -30, -96, -67, 2, 24, 85]
  Compare -4 and -16
  Swap -4 and -16
  List after swap: [-6, -16, -4, 55, -30, -96, -67, 2, 24, 85]
  Compare -4 and 55
  No swap needed
  Compare 55 and -30
  Swap 55 and -30
  List after swap: [-6, -16, -4, -30, 55, -96, -67, 2, 24, 85]
  Compare 55 and -96
  Swap 55 and -96
  List after swap: [-6, -16, -4, -30, -96, 55, -67, 2, 24, 85]
  Compare 55 and -67
  Swap 55 and -67
  List after swap: [-6, -16, -4, -30, -96, -67, 55, 2, 24, 85]
  Compare 55 and 2
  Swap 55 and 2
  List after swap: [-6, -16, -4, -30, -96, -67, 2, 55, 24, 85]
  Compare 55 and 24
  Swap 55 and 24
  List after swap: [-6, -16, -4, -30, -96, -67, 2, 24, 55, 85]

Pass 3:
  Compare -6 and -16
  Swap -6 and -16
  List after swap: [-16, -6, -4, -30, -96, -67, 2, 24, 55, 85]
  Compare -6 and -4
  No swap needed
  Compare -4 and -30
  Swap -4 and -30
  List after swap: [-16, -6, -30, -4, -96, -67, 2, 24, 55, 85]
  Compare -4 and -96
  Swap -4 and -96
  List after swap: [-16, -6, -30, -96, -4, -67, 2, 24, 55, 85]
  Compare -4 and -67
  Swap -4 and -67
  List after swap: [-16, -6, -30, -96, -67, -4, 2, 24, 55, 85]
  Compare -4 and 2
  No swap needed
  Compare 2 and 24
  No swap needed

Pass 4:
  Compare -16 and -6
  No swap needed
  Compare -6 and -30
  Swap -6 and -30
  List after swap: [-16, -30, -6, -96, -67, -4, 2, 24, 55, 85]
  Compare -6 and -96
  Swap -6 and -96
  List after swap: [-16, -30, -96, -6, -67, -4, 2, 24, 55, 85]
  Compare -6 and -67
  Swap -6 and -67
  List after swap: [-16, -30, -96, -67, -6, -4, 2, 24, 55, 85]
  Compare -6 and -4
  No swap needed
  Compare -4 and 2
  No swap needed

Pass 5:
  Compare -16 and -30
  Swap -16 and -30
  List after swap: [-30, -16, -96, -67, -6, -4, 2, 24, 55, 85]
  Compare -16 and -96
  Swap -16 and -96
  List after swap: [-30, -96, -16, -67, -6, -4, 2, 24, 55, 85]
  Compare -16 and -67
  Swap -16 and -67
  List after swap: [-30, -96, -67, -16, -6, -4, 2, 24, 55, 85]
  Compare -16 and -6
  No swap needed
  Compare -6 and -4
  No swap needed

Pass 6:
  Compare -30 and -96
  Swap -30 and -96
  List after swap: [-96, -30, -67, -16, -6, -4, 2, 24, 55, 85]
  Compare -30 and -67
  Swap -30 and -67
  List after swap: [-96, -67, -30, -16, -6, -4, 2, 24, 55, 85]
  Compare -30 and -16
  No swap needed
  Compare -16 and -6
  No swap needed

Pass 7:
  Compare -96 and -67
  No swap needed
  Compare -67 and -30
  No swap needed
  Compare -30 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -67, -30, -16, -6, -4, 2, 24, 55, 85]
</think>

<response>-96, -67, -30, -16, -6, -4, 2, 24, 55, 85</response>


input: Demonstrate how bubble sort orders the integers 63, 94, 81, -37, -12, -82, -55, 64 in ascending sequence, showing all steps.

output:
<think>
Initial list: [63, 94, 81, -37, -12, -82, -55, 64]

Pass 1:
  Compare 63 and 94
  No swap needed
  Compare 94 and 81
  Swap 94 and 81
  List after swap: [63, 81, 94, -37, -12, -82, -55, 64]
  Compare 94 and -37
  Swap 94 and -37
  List after swap: [63, 81, -37, 94, -12, -82, -55, 64]
  Compare 94 and -12
  Swap 94 and -12
  List after swap: [63, 81, -37, -12, 94, -82, -55, 64]
  Compare 94 and -82
  Swap 94 and -82
  List after swap: [63, 81, -37, -12, -82, 94, -55, 64]
  Compare 94 and -55
  Swap 94 and -55
  List after swap: [63, 81, -37, -12, -82, -55, 94, 64]
  Compare 94 and 64
  Swap 94 and 64
  List after swap: [63, 81, -37, -12, -82, -55, 64, 94]

Pass 2:
  Compare 63 and 81
  No swap needed
  Compare 81 and -37
  Swap 81 and -37
  List after swap: [63, -37, 81, -12, -82, -55, 64, 94]
  Compare 81 and -12
  Swap 81 and -12
  List after swap: [63, -37, -12, 81, -82, -55, 64, 94]
  Compare 81 and -82
  Swap 81 and -82
  List after swap: [63, -37, -12, -82, 81, -55, 64, 94]
  Compare 81 and -55
  Swap 81 and -55
  List after swap: [63, -37, -12, -82, -55, 81, 64, 94]
  Compare 81 and 64
  Swap 81 and 64
  List after swap: [63, -37, -12, -82, -55, 64, 81, 94]

Pass 3:
  Compare 63 and -37
  Swap 63 and -37
  List after swap: [-37, 63, -12, -82, -55, 64, 81, 94]
  Compare 63 and -12
  Swap 63 and -12
  List after swap: [-37, -12, 63, -82, -55, 64, 81, 94]
  Compare 63 and -82
  Swap 63 and -82
  List after swap: [-37, -12, -82, 63, -55, 64, 81, 94]
  Compare 63 and -55
  Swap 63 and -55
  List after swap: [-37, -12, -82, -55, 63, 64, 81, 94]
  Compare 63 and 64
  No swap needed

Pass 4:
  Compare -37 and -12
  No swap needed
  Compare -12 and -82
  Swap -12 and -82
  List after swap: [-37, -82, -12, -55, 63, 64, 81, 94]
  Compare -12 and -55
  Swap -12 and -55
  List after swap: [-37, -82, -55, -12, 63, 64, 81, 94]
  Compare -12 and 63
  No swap needed

Pass 5:
  Compare -37 and -82
  Swap -37 and -82
  List after swap: [-82, -37, -55, -12, 63, 64, 81, 94]
  Compare -37 and -55
  Swap -37 and -55
  List after swap: [-82, -55, -37, -12, 63, 64, 81, 94]
  Compare -37 and -12
  No swap needed

Pass 6:
  Compare -82 and -55
  No swap needed
  Compare -55 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -55, -37, -12, 63, 64, 81, 94]
</think>

<response>-82, -55, -37, -12, 63, 64, 81, 94</response>


input: Carry out the bubble sort algorithm on 7, 92, 90, 83, 12 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [7, 92, 90, 83, 12]

Pass 1:
  Compare 7 and 92
  No swap needed
  Compare 92 and 90
  Swap 92 and 90
  List after swap: [7, 90, 92, 83, 12]
  Compare 92 and 83
  Swap 92 and 83
  List after swap: [7, 90, 83, 92, 12]
  Compare 92 and 12
  Swap 92 and 12
  List after swap: [7, 90, 83, 12, 92]

Pass 2:
  Compare 7 and 90
  No swap needed
  Compare 90 and 83
  Swap 90 and 83
  List after swap: [7, 83, 90, 12, 92]
  Compare 90 and 12
  Swap 90 and 12
  List after swap: [7, 83, 12, 90, 92]

Pass 3:
  Compare 7 and 83
  No swap needed
  Compare 83 and 12
  Swap 83 and 12
  List after swap: [7, 12, 83, 90, 92]

Pass 4:
  Compare 7 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [7, 12, 83, 90, 92]
</think>

<response>7, 12, 83, 90, 92</response>


input: Perform a bubble sort on the integers -12, 16, 22, 31, -35, 17, -89, 27, -33, 34, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-12, 16, 22, 31, -35, 17, -89, 27, -33, 34]

Pass 1:
  Compare -12 and 16
  No swap needed
  Compare 16 and 22
  No swap needed
  Compare 22 and 31
  No swap needed
  Compare 31 and -35
  Swap 31 and -35
  List after swap: [-12, 16, 22, -35, 31, 17, -89, 27, -33, 34]
  Compare 31 and 17
  Swap 31 and 17
  List after swap: [-12, 16, 22, -35, 17, 31, -89, 27, -33, 34]
  Compare 31 and -89
  Swap 31 and -89
  List after swap: [-12, 16, 22, -35, 17, -89, 31, 27, -33, 34]
  Compare 31 and 27
  Swap 31 and 27
  List after swap: [-12, 16, 22, -35, 17, -89, 27, 31, -33, 34]
  Compare 31 and -33
  Swap 31 and -33
  List after swap: [-12, 16, 22, -35, 17, -89, 27, -33, 31, 34]
  Compare 31 and 34
  No swap needed

Pass 2:
  Compare -12 and 16
  No swap needed
  Compare 16 and 22
  No swap needed
  Compare 22 and -35
  Swap 22 and -35
  List after swap: [-12, 16, -35, 22, 17, -89, 27, -33, 31, 34]
  Compare 22 and 17
  Swap 22 and 17
  List after swap: [-12, 16, -35, 17, 22, -89, 27, -33, 31, 34]
  Compare 22 and -89
  Swap 22 and -89
  List after swap: [-12, 16, -35, 17, -89, 22, 27, -33, 31, 34]
  Compare 22 and 27
  No swap needed
  Compare 27 and -33
  Swap 27 and -33
  List after swap: [-12, 16, -35, 17, -89, 22, -33, 27, 31, 34]
  Compare 27 and 31
  No swap needed

Pass 3:
  Compare -12 and 16
  No swap needed
  Compare 16 and -35
  Swap 16 and -35
  List after swap: [-12, -35, 16, 17, -89, 22, -33, 27, 31, 34]
  Compare 16 and 17
  No swap needed
  Compare 17 and -89
  Swap 17 and -89
  List after swap: [-12, -35, 16, -89, 17, 22, -33, 27, 31, 34]
  Compare 17 and 22
  No swap needed
  Compare 22 and -33
  Swap 22 and -33
  List after swap: [-12, -35, 16, -89, 17, -33, 22, 27, 31, 34]
  Compare 22 and 27
  No swap needed

Pass 4:
  Compare -12 and -35
  Swap -12 and -35
  List after swap: [-35, -12, 16, -89, 17, -33, 22, 27, 31, 34]
  Compare -12 and 16
  No swap needed
  Compare 16 and -89
  Swap 16 and -89
  List after swap: [-35, -12, -89, 16, 17, -33, 22, 27, 31, 34]
  Compare 16 and 17
  No swap needed
  Compare 17 and -33
  Swap 17 and -33
  List after swap: [-35, -12, -89, 16, -33, 17, 22, 27, 31, 34]
  Compare 17 and 22
  No swap needed

Pass 5:
  Compare -35 and -12
  No swap needed
  Compare -12 and -89
  Swap -12 and -89
  List after swap: [-35, -89, -12, 16, -33, 17, 22, 27, 31, 34]
  Compare -12 and 16
  No swap needed
  Compare 16 and -33
  Swap 16 and -33
  List after swap: [-35, -89, -12, -33, 16, 17, 22, 27, 31, 34]
  Compare 16 and 17
  No swap needed

Pass 6:
  Compare -35 and -89
  Swap -35 and -89
  List after swap: [-89, -35, -12, -33, 16, 17, 22, 27, 31, 34]
  Compare -35 and -12
  No swap needed
  Compare -12 and -33
  Swap -12 and -33
  List after swap: [-89, -35, -33, -12, 16, 17, 22, 27, 31, 34]
  Compare -12 and 16
  No swap needed

Pass 7:
  Compare -89 and -35
  No swap needed
  Compare -35 and -33
  No swap needed
  Compare -33 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -35, -33, -12, 16, 17, 22, 27, 31, 34]
</think>

<response>-89, -35, -33, -12, 16, 17, 22, 27, 31, 34</response>


input: Sort these integers 86, -82 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [86, -82]

Pass 1:
  Compare 86 and -82
  Swap 86 and -82
  List after swap: [-82, 86]

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

Final sorted list: [-82, 86]
</think>

<response>-82, 86</response>


input: Perform a bubble sort on the integers 31, 71, 90, -81, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [31, 71, 90, -81]

Pass 1:
  Compare 31 and 71
  No swap needed
  Compare 71 and 90
  No swap needed
  Compare 90 and -81
  Swap 90 and -81
  List after swap: [31, 71, -81, 90]

Pass 2:
  Compare 31 and 71
  No swap needed
  Compare 71 and -81
  Swap 71 and -81
  List after swap: [31, -81, 71, 90]

Pass 3:
  Compare 31 and -81
  Swap 31 and -81
  List after swap: [-81, 31, 71, 90]

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

Final sorted list: [-81, 31, 71, 90]
</think>

<response>-81, 31, 71, 90</response>


input: Arrange the numbers 69, -72 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [69, -72]

Pass 1:
  Compare 69 and -72
  Swap 69 and -72
  List after swap: [-72, 69]

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

Final sorted list: [-72, 69]
</think>

<response>-72, 69</response>


input: Implement bubble sort on 72, -70, 66, -29, 64, 51, 26, -7, 43, -80 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [72, -70, 66, -29, 64, 51, 26, -7, 43, -80]

Pass 1:
  Compare 72 and -70
  Swap 72 and -70
  List after swap: [-70, 72, 66, -29, 64, 51, 26, -7, 43, -80]
  Compare 72 and 66
  Swap 72 and 66
  List after swap: [-70, 66, 72, -29, 64, 51, 26, -7, 43, -80]
  Compare 72 and -29
  Swap 72 and -29
  List after swap: [-70, 66, -29, 72, 64, 51, 26, -7, 43, -80]
  Compare 72 and 64
  Swap 72 and 64
  List after swap: [-70, 66, -29, 64, 72, 51, 26, -7, 43, -80]
  Compare 72 and 51
  Swap 72 and 51
  List after swap: [-70, 66, -29, 64, 51, 72, 26, -7, 43, -80]
  Compare 72 and 26
  Swap 72 and 26
  List after swap: [-70, 66, -29, 64, 51, 26, 72, -7, 43, -80]
  Compare 72 and -7
  Swap 72 and -7
  List after swap: [-70, 66, -29, 64, 51, 26, -7, 72, 43, -80]
  Compare 72 and 43
  Swap 72 and 43
  List after swap: [-70, 66, -29, 64, 51, 26, -7, 43, 72, -80]
  Compare 72 and -80
  Swap 72 and -80
  List after swap: [-70, 66, -29, 64, 51, 26, -7, 43, -80, 72]

Pass 2:
  Compare -70 and 66
  No swap needed
  Compare 66 and -29
  Swap 66 and -29
  List after swap: [-70, -29, 66, 64, 51, 26, -7, 43, -80, 72]
  Compare 66 and 64
  Swap 66 and 64
  List after swap: [-70, -29, 64, 66, 51, 26, -7, 43, -80, 72]
  Compare 66 and 51
  Swap 66 and 51
  List after swap: [-70, -29, 64, 51, 66, 26, -7, 43, -80, 72]
  Compare 66 and 26
  Swap 66 and 26
  List after swap: [-70, -29, 64, 51, 26, 66, -7, 43, -80, 72]
  Compare 66 and -7
  Swap 66 and -7
  List after swap: [-70, -29, 64, 51, 26, -7, 66, 43, -80, 72]
  Compare 66 and 43
  Swap 66 and 43
  List after swap: [-70, -29, 64, 51, 26, -7, 43, 66, -80, 72]
  Compare 66 and -80
  Swap 66 and -80
  List after swap: [-70, -29, 64, 51, 26, -7, 43, -80, 66, 72]

Pass 3:
  Compare -70 and -29
  No swap needed
  Compare -29 and 64
  No swap needed
  Compare 64 and 51
  Swap 64 and 51
  List after swap: [-70, -29, 51, 64, 26, -7, 43, -80, 66, 72]
  Compare 64 and 26
  Swap 64 and 26
  List after swap: [-70, -29, 51, 26, 64, -7, 43, -80, 66, 72]
  Compare 64 and -7
  Swap 64 and -7
  List after swap: [-70, -29, 51, 26, -7, 64, 43, -80, 66, 72]
  Compare 64 and 43
  Swap 64 and 43
  List after swap: [-70, -29, 51, 26, -7, 43, 64, -80, 66, 72]
  Compare 64 and -80
  Swap 64 and -80
  List after swap: [-70, -29, 51, 26, -7, 43, -80, 64, 66, 72]

Pass 4:
  Compare -70 and -29
  No swap needed
  Compare -29 and 51
  No swap needed
  Compare 51 and 26
  Swap 51 and 26
  List after swap: [-70, -29, 26, 51, -7, 43, -80, 64, 66, 72]
  Compare 51 and -7
  Swap 51 and -7
  List after swap: [-70, -29, 26, -7, 51, 43, -80, 64, 66, 72]
  Compare 51 and 43
  Swap 51 and 43
  List after swap: [-70, -29, 26, -7, 43, 51, -80, 64, 66, 72]
  Compare 51 and -80
  Swap 51 and -80
  List after swap: [-70, -29, 26, -7, 43, -80, 51, 64, 66, 72]

Pass 5:
  Compare -70 and -29
  No swap needed
  Compare -29 and 26
  No swap needed
  Compare 26 and -7
  Swap 26 and -7
  List after swap: [-70, -29, -7, 26, 43, -80, 51, 64, 66, 72]
  Compare 26 and 43
  No swap needed
  Compare 43 and -80
  Swap 43 and -80
  List after swap: [-70, -29, -7, 26, -80, 43, 51, 64, 66, 72]

Pass 6:
  Compare -70 and -29
  No swap needed
  Compare -29 and -7
  No swap needed
  Compare -7 and 26
  No swap needed
  Compare 26 and -80
  Swap 26 and -80
  List after swap: [-70, -29, -7, -80, 26, 43, 51, 64, 66, 72]

Pass 7:
  Compare -70 and -29
  No swap needed
  Compare -29 and -7
  No swap needed
  Compare -7 and -80
  Swap -7 and -80
  List after swap: [-70, -29, -80, -7, 26, 43, 51, 64, 66, 72]

Pass 8:
  Compare -70 and -29
  No swap needed
  Compare -29 and -80
  Swap -29 and -80
  List after swap: [-70, -80, -29, -7, 26, 43, 51, 64, 66, 72]

Pass 9:
  Compare -70 and -80
  Swap -70 and -80
  List after swap: [-80, -70, -29, -7, 26, 43, 51, 64, 66, 72]

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

Final sorted list: [-80, -70, -29, -7, 26, 43, 51, 64, 66, 72]
</think>

<response>-80, -70, -29, -7, 26, 43, 51, 64, 66, 72</response>


input: Sort these integers 25, 5, -25, 39, 40, -2, 89, 81, 13 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [25, 5, -25, 39, 40, -2, 89, 81, 13]

Pass 1:
  Compare 25 and 5
  Swap 25 and 5
  List after swap: [5, 25, -25, 39, 40, -2, 89, 81, 13]
  Compare 25 and -25
  Swap 25 and -25
  List after swap: [5, -25, 25, 39, 40, -2, 89, 81, 13]
  Compare 25 and 39
  No swap needed
  Compare 39 and 40
  No swap needed
  Compare 40 and -2
  Swap 40 and -2
  List after swap: [5, -25, 25, 39, -2, 40, 89, 81, 13]
  Compare 40 and 89
  No swap needed
  Compare 89 and 81
  Swap 89 and 81
  List after swap: [5, -25, 25, 39, -2, 40, 81, 89, 13]
  Compare 89 and 13
  Swap 89 and 13
  List after swap: [5, -25, 25, 39, -2, 40, 81, 13, 89]

Pass 2:
  Compare 5 and -25
  Swap 5 and -25
  List after swap: [-25, 5, 25, 39, -2, 40, 81, 13, 89]
  Compare 5 and 25
  No swap needed
  Compare 25 and 39
  No swap needed
  Compare 39 and -2
  Swap 39 and -2
  List after swap: [-25, 5, 25, -2, 39, 40, 81, 13, 89]
  Compare 39 and 40
  No swap needed
  Compare 40 and 81
  No swap needed
  Compare 81 and 13
  Swap 81 and 13
  List after swap: [-25, 5, 25, -2, 39, 40, 13, 81, 89]

Pass 3:
  Compare -25 and 5
  No swap needed
  Compare 5 and 25
  No swap needed
  Compare 25 and -2
  Swap 25 and -2
  List after swap: [-25, 5, -2, 25, 39, 40, 13, 81, 89]
  Compare 25 and 39
  No swap needed
  Compare 39 and 40
  No swap needed
  Compare 40 and 13
  Swap 40 and 13
  List after swap: [-25, 5, -2, 25, 39, 13, 40, 81, 89]

Pass 4:
  Compare -25 and 5
  No swap needed
  Compare 5 and -2
  Swap 5 and -2
  List after swap: [-25, -2, 5, 25, 39, 13, 40, 81, 89]
  Compare 5 and 25
  No swap needed
  Compare 25 and 39
  No swap needed
  Compare 39 and 13
  Swap 39 and 13
  List after swap: [-25, -2, 5, 25, 13, 39, 40, 81, 89]

Pass 5:
  Compare -25 and -2
  No swap needed
  Compare -2 and 5
  No swap needed
  Compare 5 and 25
  No swap needed
  Compare 25 and 13
  Swap 25 and 13
  List after swap: [-25, -2, 5, 13, 25, 39, 40, 81, 89]

Pass 6:
  Compare -25 and -2
  No swap needed
  Compare -2 and 5
  No swap needed
  Compare 5 and 13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-25, -2, 5, 13, 25, 39, 40, 81, 89]
</think>

<response>-25, -2, 5, 13, 25, 39, 40, 81, 89</response>


input: Carry out the bubble sort algorithm on -92, 58 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-92, 58]

Pass 1:
  Compare -92 and 58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, 58]
</think>

<response>-92, 58</response>


input: Implement bubble sort on -31, 56, 12, -95, -38 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-31, 56, 12, -95, -38]

Pass 1:
  Compare -31 and 56
  No swap needed
  Compare 56 and 12
  Swap 56 and 12
  List after swap: [-31, 12, 56, -95, -38]
  Compare 56 and -95
  Swap 56 and -95
  List after swap: [-31, 12, -95, 56, -38]
  Compare 56 and -38
  Swap 56 and -38
  List after swap: [-31, 12, -95, -38, 56]

Pass 2:
  Compare -31 and 12
  No swap needed
  Compare 12 and -95
  Swap 12 and -95
  List after swap: [-31, -95, 12, -38, 56]
  Compare 12 and -38
  Swap 12 and -38
  List after swap: [-31, -95, -38, 12, 56]

Pass 3:
  Compare -31 and -95
  Swap -31 and -95
  List after swap: [-95, -31, -38, 12, 56]
  Compare -31 and -38
  Swap -31 and -38
  List after swap: [-95, -38, -31, 12, 56]

Pass 4:
  Compare -95 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -38, -31, 12, 56]
</think>

<response>-95, -38, -31, 12, 56</response>


input: Perform a bubble sort on the integers 11, 49, -45, 71, -48, 54, -2, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [11, 49, -45, 71, -48, 54, -2]

Pass 1:
  Compare 11 and 49
  No swap needed
  Compare 49 and -45
  Swap 49 and -45
  List after swap: [11, -45, 49, 71, -48, 54, -2]
  Compare 49 and 71
  No swap needed
  Compare 71 and -48
  Swap 71 and -48
  List after swap: [11, -45, 49, -48, 71, 54, -2]
  Compare 71 and 54
  Swap 71 and 54
  List after swap: [11, -45, 49, -48, 54, 71, -2]
  Compare 71 and -2
  Swap 71 and -2
  List after swap: [11, -45, 49, -48, 54, -2, 71]

Pass 2:
  Compare 11 and -45
  Swap 11 and -45
  List after swap: [-45, 11, 49, -48, 54, -2, 71]
  Compare 11 and 49
  No swap needed
  Compare 49 and -48
  Swap 49 and -48
  List after swap: [-45, 11, -48, 49, 54, -2, 71]
  Compare 49 and 54
  No swap needed
  Compare 54 and -2
  Swap 54 and -2
  List after swap: [-45, 11, -48, 49, -2, 54, 71]

Pass 3:
  Compare -45 and 11
  No swap needed
  Compare 11 and -48
  Swap 11 and -48
  List after swap: [-45, -48, 11, 49, -2, 54, 71]
  Compare 11 and 49
  No swap needed
  Compare 49 and -2
  Swap 49 and -2
  List after swap: [-45, -48, 11, -2, 49, 54, 71]

Pass 4:
  Compare -45 and -48
  Swap -45 and -48
  List after swap: [-48, -45, 11, -2, 49, 54, 71]
  Compare -45 and 11
  No swap needed
  Compare 11 and -2
  Swap 11 and -2
  List after swap: [-48, -45, -2, 11, 49, 54, 71]

Pass 5:
  Compare -48 and -45
  No swap needed
  Compare -45 and -2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-48, -45, -2, 11, 49, 54, 71]
</think>

<response>-48, -45, -2, 11, 49, 54, 71</response>


input: Perform a bubble sort on the integers 32, 18, -19, -52, -6, -25, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [32, 18, -19, -52, -6, -25]

Pass 1:
  Compare 32 and 18
  Swap 32 and 18
  List after swap: [18, 32, -19, -52, -6, -25]
  Compare 32 and -19
  Swap 32 and -19
  List after swap: [18, -19, 32, -52, -6, -25]
  Compare 32 and -52
  Swap 32 and -52
  List after swap: [18, -19, -52, 32, -6, -25]
  Compare 32 and -6
  Swap 32 and -6
  List after swap: [18, -19, -52, -6, 32, -25]
  Compare 32 and -25
  Swap 32 and -25
  List after swap: [18, -19, -52, -6, -25, 32]

Pass 2:
  Compare 18 and -19
  Swap 18 and -19
  List after swap: [-19, 18, -52, -6, -25, 32]
  Compare 18 and -52
  Swap 18 and -52
  List after swap: [-19, -52, 18, -6, -25, 32]
  Compare 18 and -6
  Swap 18 and -6
  List after swap: [-19, -52, -6, 18, -25, 32]
  Compare 18 and -25
  Swap 18 and -25
  List after swap: [-19, -52, -6, -25, 18, 32]

Pass 3:
  Compare -19 and -52
  Swap -19 and -52
  List after swap: [-52, -19, -6, -25, 18, 32]
  Compare -19 and -6
  No swap needed
  Compare -6 and -25
  Swap -6 and -25
  List after swap: [-52, -19, -25, -6, 18, 32]

Pass 4:
  Compare -52 and -19
  No swap needed
  Compare -19 and -25
  Swap -19 and -25
  List after swap: [-52, -25, -19, -6, 18, 32]

Pass 5:
  Compare -52 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, -25, -19, -6, 18, 32]
</think>

<response>-52, -25, -19, -6, 18, 32</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -94, 8, 40, 31, 28, -12, -39, 68.

output:
<think>
Initial list: [-94, 8, 40, 31, 28, -12, -39, 68]

Pass 1:
  Compare -94 and 8
  No swap needed
  Compare 8 and 40
  No swap needed
  Compare 40 and 31
  Swap 40 and 31
  List after swap: [-94, 8, 31, 40, 28, -12, -39, 68]
  Compare 40 and 28
  Swap 40 and 28
  List after swap: [-94, 8, 31, 28, 40, -12, -39, 68]
  Compare 40 and -12
  Swap 40 and -12
  List after swap: [-94, 8, 31, 28, -12, 40, -39, 68]
  Compare 40 and -39
  Swap 40 and -39
  List after swap: [-94, 8, 31, 28, -12, -39, 40, 68]
  Compare 40 and 68
  No swap needed

Pass 2:
  Compare -94 and 8
  No swap needed
  Compare 8 and 31
  No swap needed
  Compare 31 and 28
  Swap 31 and 28
  List after swap: [-94, 8, 28, 31, -12, -39, 40, 68]
  Compare 31 and -12
  Swap 31 and -12
  List after swap: [-94, 8, 28, -12, 31, -39, 40, 68]
  Compare 31 and -39
  Swap 31 and -39
  List after swap: [-94, 8, 28, -12, -39, 31, 40, 68]
  Compare 31 and 40
  No swap needed

Pass 3:
  Compare -94 and 8
  No swap needed
  Compare 8 and 28
  No swap needed
  Compare 28 and -12
  Swap 28 and -12
  List after swap: [-94, 8, -12, 28, -39, 31, 40, 68]
  Compare 28 and -39
  Swap 28 and -39
  List after swap: [-94, 8, -12, -39, 28, 31, 40, 68]
  Compare 28 and 31
  No swap needed

Pass 4:
  Compare -94 and 8
  No swap needed
  Compare 8 and -12
  Swap 8 and -12
  List after swap: [-94, -12, 8, -39, 28, 31, 40, 68]
  Compare 8 and -39
  Swap 8 and -39
  List after swap: [-94, -12, -39, 8, 28, 31, 40, 68]
  Compare 8 and 28
  No swap needed

Pass 5:
  Compare -94 and -12
  No swap needed
  Compare -12 and -39
  Swap -12 and -39
  List after swap: [-94, -39, -12, 8, 28, 31, 40, 68]
  Compare -12 and 8
  No swap needed

Pass 6:
  Compare -94 and -39
  No swap needed
  Compare -39 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -39, -12, 8, 28, 31, 40, 68]
</think>

<response>-94, -39, -12, 8, 28, 31, 40, 68</response>


input: Execute bubble sort to sort -66, 0, -94, -30, -100, 21, 66 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-66, 0, -94, -30, -100, 21, 66]

Pass 1:
  Compare -66 and 0
  No swap needed
  Compare 0 and -94
  Swap 0 and -94
  List after swap: [-66, -94, 0, -30, -100, 21, 66]
  Compare 0 and -30
  Swap 0 and -30
  List after swap: [-66, -94, -30, 0, -100, 21, 66]
  Compare 0 and -100
  Swap 0 and -100
  List after swap: [-66, -94, -30, -100, 0, 21, 66]
  Compare 0 and 21
  No swap needed
  Compare 21 and 66
  No swap needed

Pass 2:
  Compare -66 and -94
  Swap -66 and -94
  List after swap: [-94, -66, -30, -100, 0, 21, 66]
  Compare -66 and -30
  No swap needed
  Compare -30 and -100
  Swap -30 and -100
  List after swap: [-94, -66, -100, -30, 0, 21, 66]
  Compare -30 and 0
  No swap needed
  Compare 0 and 21
  No swap needed

Pass 3:
  Compare -94 and -66
  No swap needed
  Compare -66 and -100
  Swap -66 and -100
  List after swap: [-94, -100, -66, -30, 0, 21, 66]
  Compare -66 and -30
  No swap needed
  Compare -30 and 0
  No swap needed

Pass 4:
  Compare -94 and -100
  Swap -94 and -100
  List after swap: [-100, -94, -66, -30, 0, 21, 66]
  Compare -94 and -66
  No swap needed
  Compare -66 and -30
  No swap needed

Pass 5:
  Compare -100 and -94
  No swap needed
  Compare -94 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -94, -66, -30, 0, 21, 66]
</think>

<response>-100, -94, -66, -30, 0, 21, 66</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -16, -88, -87, -91, 14, -100, 19.

output:
<think>
Initial list: [-16, -88, -87, -91, 14, -100, 19]

Pass 1:
  Compare -16 and -88
  Swap -16 and -88
  List after swap: [-88, -16, -87, -91, 14, -100, 19]
  Compare -16 and -87
  Swap -16 and -87
  List after swap: [-88, -87, -16, -91, 14, -100, 19]
  Compare -16 and -91
  Swap -16 and -91
  List after swap: [-88, -87, -91, -16, 14, -100, 19]
  Compare -16 and 14
  No swap needed
  Compare 14 and -100
  Swap 14 and -100
  List after swap: [-88, -87, -91, -16, -100, 14, 19]
  Compare 14 and 19
  No swap needed

Pass 2:
  Compare -88 and -87
  No swap needed
  Compare -87 and -91
  Swap -87 and -91
  List after swap: [-88, -91, -87, -16, -100, 14, 19]
  Compare -87 and -16
  No swap needed
  Compare -16 and -100
  Swap -16 and -100
  List after swap: [-88, -91, -87, -100, -16, 14, 19]
  Compare -16 and 14
  No swap needed

Pass 3:
  Compare -88 and -91
  Swap -88 and -91
  List after swap: [-91, -88, -87, -100, -16, 14, 19]
  Compare -88 and -87
  No swap needed
  Compare -87 and -100
  Swap -87 and -100
  List after swap: [-91, -88, -100, -87, -16, 14, 19]
  Compare -87 and -16
  No swap needed

Pass 4:
  Compare -91 and -88
  No swap needed
  Compare -88 and -100
  Swap -88 and -100
  List after swap: [-91, -100, -88, -87, -16, 14, 19]
  Compare -88 and -87
  No swap needed

Pass 5:
  Compare -91 and -100
  Swap -91 and -100
  List after swap: [-100, -91, -88, -87, -16, 14, 19]
  Compare -91 and -88
  No swap needed

Pass 6:
  Compare -100 and -91
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -91, -88, -87, -16, 14, 19]
</think>

<response>-100, -91, -88, -87, -16, 14, 19</response>


input: Using the bubble sort method, sort 45, -93, 12, -76, 96, -78, -15 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [45, -93, 12, -76, 96, -78, -15]

Pass 1:
  Compare 45 and -93
  Swap 45 and -93
  List after swap: [-93, 45, 12, -76, 96, -78, -15]
  Compare 45 and 12
  Swap 45 and 12
  List after swap: [-93, 12, 45, -76, 96, -78, -15]
  Compare 45 and -76
  Swap 45 and -76
  List after swap: [-93, 12, -76, 45, 96, -78, -15]
  Compare 45 and 96
  No swap needed
  Compare 96 and -78
  Swap 96 and -78
  List after swap: [-93, 12, -76, 45, -78, 96, -15]
  Compare 96 and -15
  Swap 96 and -15
  List after swap: [-93, 12, -76, 45, -78, -15, 96]

Pass 2:
  Compare -93 and 12
  No swap needed
  Compare 12 and -76
  Swap 12 and -76
  List after swap: [-93, -76, 12, 45, -78, -15, 96]
  Compare 12 and 45
  No swap needed
  Compare 45 and -78
  Swap 45 and -78
  List after swap: [-93, -76, 12, -78, 45, -15, 96]
  Compare 45 and -15
  Swap 45 and -15
  List after swap: [-93, -76, 12, -78, -15, 45, 96]

Pass 3:
  Compare -93 and -76
  No swap needed
  Compare -76 and 12
  No swap needed
  Compare 12 and -78
  Swap 12 and -78
  List after swap: [-93, -76, -78, 12, -15, 45, 96]
  Compare 12 and -15
  Swap 12 and -15
  List after swap: [-93, -76, -78, -15, 12, 45, 96]

Pass 4:
  Compare -93 and -76
  No swap needed
  Compare -76 and -78
  Swap -76 and -78
  List after swap: [-93, -78, -76, -15, 12, 45, 96]
  Compare -76 and -15
  No swap needed

Pass 5:
  Compare -93 and -78
  No swap needed
  Compare -78 and -76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -78, -76, -15, 12, 45, 96]
</think>

<response>-93, -78, -76, -15, 12, 45, 96</response>


input: Using the bubble sort method, sort 97, -78 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [97, -78]

Pass 1:
  Compare 97 and -78
  Swap 97 and -78
  List after swap: [-78, 97]

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

Final sorted list: [-78, 97]
</think>

<response>-78, 97</response>


input: Use the bubble sort technique to reorder 70, -70, -67, 5, -58, -86, 19, 77, -79, -40 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [70, -70, -67, 5, -58, -86, 19, 77, -79, -40]

Pass 1:
  Compare 70 and -70
  Swap 70 and -70
  List after swap: [-70, 70, -67, 5, -58, -86, 19, 77, -79, -40]
  Compare 70 and -67
  Swap 70 and -67
  List after swap: [-70, -67, 70, 5, -58, -86, 19, 77, -79, -40]
  Compare 70 and 5
  Swap 70 and 5
  List after swap: [-70, -67, 5, 70, -58, -86, 19, 77, -79, -40]
  Compare 70 and -58
  Swap 70 and -58
  List after swap: [-70, -67, 5, -58, 70, -86, 19, 77, -79, -40]
  Compare 70 and -86
  Swap 70 and -86
  List after swap: [-70, -67, 5, -58, -86, 70, 19, 77, -79, -40]
  Compare 70 and 19
  Swap 70 and 19
  List after swap: [-70, -67, 5, -58, -86, 19, 70, 77, -79, -40]
  Compare 70 and 77
  No swap needed
  Compare 77 and -79
  Swap 77 and -79
  List after swap: [-70, -67, 5, -58, -86, 19, 70, -79, 77, -40]
  Compare 77 and -40
  Swap 77 and -40
  List after swap: [-70, -67, 5, -58, -86, 19, 70, -79, -40, 77]

Pass 2:
  Compare -70 and -67
  No swap needed
  Compare -67 and 5
  No swap needed
  Compare 5 and -58
  Swap 5 and -58
  List after swap: [-70, -67, -58, 5, -86, 19, 70, -79, -40, 77]
  Compare 5 and -86
  Swap 5 and -86
  List after swap: [-70, -67, -58, -86, 5, 19, 70, -79, -40, 77]
  Compare 5 and 19
  No swap needed
  Compare 19 and 70
  No swap needed
  Compare 70 and -79
  Swap 70 and -79
  List after swap: [-70, -67, -58, -86, 5, 19, -79, 70, -40, 77]
  Compare 70 and -40
  Swap 70 and -40
  List after swap: [-70, -67, -58, -86, 5, 19, -79, -40, 70, 77]

Pass 3:
  Compare -70 and -67
  No swap needed
  Compare -67 and -58
  No swap needed
  Compare -58 and -86
  Swap -58 and -86
  List after swap: [-70, -67, -86, -58, 5, 19, -79, -40, 70, 77]
  Compare -58 and 5
  No swap needed
  Compare 5 and 19
  No swap needed
  Compare 19 and -79
  Swap 19 and -79
  List after swap: [-70, -67, -86, -58, 5, -79, 19, -40, 70, 77]
  Compare 19 and -40
  Swap 19 and -40
  List after swap: [-70, -67, -86, -58, 5, -79, -40, 19, 70, 77]

Pass 4:
  Compare -70 and -67
  No swap needed
  Compare -67 and -86
  Swap -67 and -86
  List after swap: [-70, -86, -67, -58, 5, -79, -40, 19, 70, 77]
  Compare -67 and -58
  No swap needed
  Compare -58 and 5
  No swap needed
  Compare 5 and -79
  Swap 5 and -79
  List after swap: [-70, -86, -67, -58, -79, 5, -40, 19, 70, 77]
  Compare 5 and -40
  Swap 5 and -40
  List after swap: [-70, -86, -67, -58, -79, -40, 5, 19, 70, 77]

Pass 5:
  Compare -70 and -86
  Swap -70 and -86
  List after swap: [-86, -70, -67, -58, -79, -40, 5, 19, 70, 77]
  Compare -70 and -67
  No swap needed
  Compare -67 and -58
  No swap needed
  Compare -58 and -79
  Swap -58 and -79
  List after swap: [-86, -70, -67, -79, -58, -40, 5, 19, 70, 77]
  Compare -58 and -40
  No swap needed

Pass 6:
  Compare -86 and -70
  No swap needed
  Compare -70 and -67
  No swap needed
  Compare -67 and -79
  Swap -67 and -79
  List after swap: [-86, -70, -79, -67, -58, -40, 5, 19, 70, 77]
  Compare -67 and -58
  No swap needed

Pass 7:
  Compare -86 and -70
  No swap needed
  Compare -70 and -79
  Swap -70 and -79
  List after swap: [-86, -79, -70, -67, -58, -40, 5, 19, 70, 77]
  Compare -70 and -67
  No swap needed

Pass 8:
  Compare -86 and -79
  No swap needed
  Compare -79 and -70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -79, -70, -67, -58, -40, 5, 19, 70, 77]
</think>

<response>-86, -79, -70, -67, -58, -40, 5, 19, 70, 77</response>


input: Perform a bubble sort on the integers 54, -10, 65, 63, -37, -76, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [54, -10, 65, 63, -37, -76]

Pass 1:
  Compare 54 and -10
  Swap 54 and -10
  List after swap: [-10, 54, 65, 63, -37, -76]
  Compare 54 and 65
  No swap needed
  Compare 65 and 63
  Swap 65 and 63
  List after swap: [-10, 54, 63, 65, -37, -76]
  Compare 65 and -37
  Swap 65 and -37
  List after swap: [-10, 54, 63, -37, 65, -76]
  Compare 65 and -76
  Swap 65 and -76
  List after swap: [-10, 54, 63, -37, -76, 65]

Pass 2:
  Compare -10 and 54
  No swap needed
  Compare 54 and 63
  No swap needed
  Compare 63 and -37
  Swap 63 and -37
  List after swap: [-10, 54, -37, 63, -76, 65]
  Compare 63 and -76
  Swap 63 and -76
  List after swap: [-10, 54, -37, -76, 63, 65]

Pass 3:
  Compare -10 and 54
  No swap needed
  Compare 54 and -37
  Swap 54 and -37
  List after swap: [-10, -37, 54, -76, 63, 65]
  Compare 54 and -76
  Swap 54 and -76
  List after swap: [-10, -37, -76, 54, 63, 65]

Pass 4:
  Compare -10 and -37
  Swap -10 and -37
  List after swap: [-37, -10, -76, 54, 63, 65]
  Compare -10 and -76
  Swap -10 and -76
  List after swap: [-37, -76, -10, 54, 63, 65]

Pass 5:
  Compare -37 and -76
  Swap -37 and -76
  List after swap: [-76, -37, -10, 54, 63, 65]

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

Final sorted list: [-76, -37, -10, 54, 63, 65]
</think>

<response>-76, -37, -10, 54, 63, 65</response>


input: Perform a bubble sort on the integers 14, 79, 75, 91, -78, -92, 53, -25, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [14, 79, 75, 91, -78, -92, 53, -25]

Pass 1:
  Compare 14 and 79
  No swap needed
  Compare 79 and 75
  Swap 79 and 75
  List after swap: [14, 75, 79, 91, -78, -92, 53, -25]
  Compare 79 and 91
  No swap needed
  Compare 91 and -78
  Swap 91 and -78
  List after swap: [14, 75, 79, -78, 91, -92, 53, -25]
  Compare 91 and -92
  Swap 91 and -92
  List after swap: [14, 75, 79, -78, -92, 91, 53, -25]
  Compare 91 and 53
  Swap 91 and 53
  List after swap: [14, 75, 79, -78, -92, 53, 91, -25]
  Compare 91 and -25
  Swap 91 and -25
  List after swap: [14, 75, 79, -78, -92, 53, -25, 91]

Pass 2:
  Compare 14 and 75
  No swap needed
  Compare 75 and 79
  No swap needed
  Compare 79 and -78
  Swap 79 and -78
  List after swap: [14, 75, -78, 79, -92, 53, -25, 91]
  Compare 79 and -92
  Swap 79 and -92
  List after swap: [14, 75, -78, -92, 79, 53, -25, 91]
  Compare 79 and 53
  Swap 79 and 53
  List after swap: [14, 75, -78, -92, 53, 79, -25, 91]
  Compare 79 and -25
  Swap 79 and -25
  List after swap: [14, 75, -78, -92, 53, -25, 79, 91]

Pass 3:
  Compare 14 and 75
  No swap needed
  Compare 75 and -78
  Swap 75 and -78
  List after swap: [14, -78, 75, -92, 53, -25, 79, 91]
  Compare 75 and -92
  Swap 75 and -92
  List after swap: [14, -78, -92, 75, 53, -25, 79, 91]
  Compare 75 and 53
  Swap 75 and 53
  List after swap: [14, -78, -92, 53, 75, -25, 79, 91]
  Compare 75 and -25
  Swap 75 and -25
  List after swap: [14, -78, -92, 53, -25, 75, 79, 91]

Pass 4:
  Compare 14 and -78
  Swap 14 and -78
  List after swap: [-78, 14, -92, 53, -25, 75, 79, 91]
  Compare 14 and -92
  Swap 14 and -92
  List after swap: [-78, -92, 14, 53, -25, 75, 79, 91]
  Compare 14 and 53
  No swap needed
  Compare 53 and -25
  Swap 53 and -25
  List after swap: [-78, -92, 14, -25, 53, 75, 79, 91]

Pass 5:
  Compare -78 and -92
  Swap -78 and -92
  List after swap: [-92, -78, 14, -25, 53, 75, 79, 91]
  Compare -78 and 14
  No swap needed
  Compare 14 and -25
  Swap 14 and -25
  List after swap: [-92, -78, -25, 14, 53, 75, 79, 91]

Pass 6:
  Compare -92 and -78
  No swap needed
  Compare -78 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -78, -25, 14, 53, 75, 79, 91]
</think>

<response>-92, -78, -25, 14, 53, 75, 79, 91</response>


input: Sort these integers 65, -70, 78, 77, 69, 80, -55, 28, 42, 81 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [65, -70, 78, 77, 69, 80, -55, 28, 42, 81]

Pass 1:
  Compare 65 and -70
  Swap 65 and -70
  List after swap: [-70, 65, 78, 77, 69, 80, -55, 28, 42, 81]
  Compare 65 and 78
  No swap needed
  Compare 78 and 77
  Swap 78 and 77
  List after swap: [-70, 65, 77, 78, 69, 80, -55, 28, 42, 81]
  Compare 78 and 69
  Swap 78 and 69
  List after swap: [-70, 65, 77, 69, 78, 80, -55, 28, 42, 81]
  Compare 78 and 80
  No swap needed
  Compare 80 and -55
  Swap 80 and -55
  List after swap: [-70, 65, 77, 69, 78, -55, 80, 28, 42, 81]
  Compare 80 and 28
  Swap 80 and 28
  List after swap: [-70, 65, 77, 69, 78, -55, 28, 80, 42, 81]
  Compare 80 and 42
  Swap 80 and 42
  List after swap: [-70, 65, 77, 69, 78, -55, 28, 42, 80, 81]
  Compare 80 and 81
  No swap needed

Pass 2:
  Compare -70 and 65
  No swap needed
  Compare 65 and 77
  No swap needed
  Compare 77 and 69
  Swap 77 and 69
  List after swap: [-70, 65, 69, 77, 78, -55, 28, 42, 80, 81]
  Compare 77 and 78
  No swap needed
  Compare 78 and -55
  Swap 78 and -55
  List after swap: [-70, 65, 69, 77, -55, 78, 28, 42, 80, 81]
  Compare 78 and 28
  Swap 78 and 28
  List after swap: [-70, 65, 69, 77, -55, 28, 78, 42, 80, 81]
  Compare 78 and 42
  Swap 78 and 42
  List after swap: [-70, 65, 69, 77, -55, 28, 42, 78, 80, 81]
  Compare 78 and 80
  No swap needed

Pass 3:
  Compare -70 and 65
  No swap needed
  Compare 65 and 69
  No swap needed
  Compare 69 and 77
  No swap needed
  Compare 77 and -55
  Swap 77 and -55
  List after swap: [-70, 65, 69, -55, 77, 28, 42, 78, 80, 81]
  Compare 77 and 28
  Swap 77 and 28
  List after swap: [-70, 65, 69, -55, 28, 77, 42, 78, 80, 81]
  Compare 77 and 42
  Swap 77 and 42
  List after swap: [-70, 65, 69, -55, 28, 42, 77, 78, 80, 81]
  Compare 77 and 78
  No swap needed

Pass 4:
  Compare -70 and 65
  No swap needed
  Compare 65 and 69
  No swap needed
  Compare 69 and -55
  Swap 69 and -55
  List after swap: [-70, 65, -55, 69, 28, 42, 77, 78, 80, 81]
  Compare 69 and 28
  Swap 69 and 28
  List after swap: [-70, 65, -55, 28, 69, 42, 77, 78, 80, 81]
  Compare 69 and 42
  Swap 69 and 42
  List after swap: [-70, 65, -55, 28, 42, 69, 77, 78, 80, 81]
  Compare 69 and 77
  No swap needed

Pass 5:
  Compare -70 and 65
  No swap needed
  Compare 65 and -55
  Swap 65 and -55
  List after swap: [-70, -55, 65, 28, 42, 69, 77, 78, 80, 81]
  Compare 65 and 28
  Swap 65 and 28
  List after swap: [-70, -55, 28, 65, 42, 69, 77, 78, 80, 81]
  Compare 65 and 42
  Swap 65 and 42
  List after swap: [-70, -55, 28, 42, 65, 69, 77, 78, 80, 81]
  Compare 65 and 69
  No swap needed

Pass 6:
  Compare -70 and -55
  No swap needed
  Compare -55 and 28
  No swap needed
  Compare 28 and 42
  No swap needed
  Compare 42 and 65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -55, 28, 42, 65, 69, 77, 78, 80, 81]
</think>

<response>-70, -55, 28, 42, 65, 69, 77, 78, 80, 81</response>


input: Using the bubble sort method, sort 26, 34, -23, 58, 69 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [26, 34, -23, 58, 69]

Pass 1:
  Compare 26 and 34
  No swap needed
  Compare 34 and -23
  Swap 34 and -23
  List after swap: [26, -23, 34, 58, 69]
  Compare 34 and 58
  No swap needed
  Compare 58 and 69
  No swap needed

Pass 2:
  Compare 26 and -23
  Swap 26 and -23
  List after swap: [-23, 26, 34, 58, 69]
  Compare 26 and 34
  No swap needed
  Compare 34 and 58
  No swap needed

Pass 3:
  Compare -23 and 26
  No swap needed
  Compare 26 and 34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-23, 26, 34, 58, 69]
</think>

<response>-23, 26, 34, 58, 69</response>


input: Arrange the numbers -36, -87, -91, 73 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-36, -87, -91, 73]

Pass 1:
  Compare -36 and -87
  Swap -36 and -87
  List after swap: [-87, -36, -91, 73]
  Compare -36 and -91
  Swap -36 and -91
  List after swap: [-87, -91, -36, 73]
  Compare -36 and 73
  No swap needed

Pass 2:
  Compare -87 and -91
  Swap -87 and -91
  List after swap: [-91, -87, -36, 73]
  Compare -87 and -36
  No swap needed

Pass 3:
  Compare -91 and -87
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -87, -36, 73]
</think>

<response>-91, -87, -36, 73</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -3, -28, 45, 27, 17, -78, 44, -71, 64.

output:
<think>
Initial list: [-3, -28, 45, 27, 17, -78, 44, -71, 64]

Pass 1:
  Compare -3 and -28
  Swap -3 and -28
  List after swap: [-28, -3, 45, 27, 17, -78, 44, -71, 64]
  Compare -3 and 45
  No swap needed
  Compare 45 and 27
  Swap 45 and 27
  List after swap: [-28, -3, 27, 45, 17, -78, 44, -71, 64]
  Compare 45 and 17
  Swap 45 and 17
  List after swap: [-28, -3, 27, 17, 45, -78, 44, -71, 64]
  Compare 45 and -78
  Swap 45 and -78
  List after swap: [-28, -3, 27, 17, -78, 45, 44, -71, 64]
  Compare 45 and 44
  Swap 45 and 44
  List after swap: [-28, -3, 27, 17, -78, 44, 45, -71, 64]
  Compare 45 and -71
  Swap 45 and -71
  List after swap: [-28, -3, 27, 17, -78, 44, -71, 45, 64]
  Compare 45 and 64
  No swap needed

Pass 2:
  Compare -28 and -3
  No swap needed
  Compare -3 and 27
  No swap needed
  Compare 27 and 17
  Swap 27 and 17
  List after swap: [-28, -3, 17, 27, -78, 44, -71, 45, 64]
  Compare 27 and -78
  Swap 27 and -78
  List after swap: [-28, -3, 17, -78, 27, 44, -71, 45, 64]
  Compare 27 and 44
  No swap needed
  Compare 44 and -71
  Swap 44 and -71
  List after swap: [-28, -3, 17, -78, 27, -71, 44, 45, 64]
  Compare 44 and 45
  No swap needed

Pass 3:
  Compare -28 and -3
  No swap needed
  Compare -3 and 17
  No swap needed
  Compare 17 and -78
  Swap 17 and -78
  List after swap: [-28, -3, -78, 17, 27, -71, 44, 45, 64]
  Compare 17 and 27
  No swap needed
  Compare 27 and -71
  Swap 27 and -71
  List after swap: [-28, -3, -78, 17, -71, 27, 44, 45, 64]
  Compare 27 and 44
  No swap needed

Pass 4:
  Compare -28 and -3
  No swap needed
  Compare -3 and -78
  Swap -3 and -78
  List after swap: [-28, -78, -3, 17, -71, 27, 44, 45, 64]
  Compare -3 and 17
  No swap needed
  Compare 17 and -71
  Swap 17 and -71
  List after swap: [-28, -78, -3, -71, 17, 27, 44, 45, 64]
  Compare 17 and 27
  No swap needed

Pass 5:
  Compare -28 and -78
  Swap -28 and -78
  List after swap: [-78, -28, -3, -71, 17, 27, 44, 45, 64]
  Compare -28 and -3
  No swap needed
  Compare -3 and -71
  Swap -3 and -71
  List after swap: [-78, -28, -71, -3, 17, 27, 44, 45, 64]
  Compare -3 and 17
  No swap needed

Pass 6:
  Compare -78 and -28
  No swap needed
  Compare -28 and -71
  Swap -28 and -71
  List after swap: [-78, -71, -28, -3, 17, 27, 44, 45, 64]
  Compare -28 and -3
  No swap needed

Pass 7:
  Compare -78 and -71
  No swap needed
  Compare -71 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -71, -28, -3, 17, 27, 44, 45, 64]
</think>

<response>-78, -71, -28, -3, 17, 27, 44, 45, 64</response>


input: Perform a bubble sort on the integers 73, -17, -63, 72, -88, -31, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [73, -17, -63, 72, -88, -31]

Pass 1:
  Compare 73 and -17
  Swap 73 and -17
  List after swap: [-17, 73, -63, 72, -88, -31]
  Compare 73 and -63
  Swap 73 and -63
  List after swap: [-17, -63, 73, 72, -88, -31]
  Compare 73 and 72
  Swap 73 and 72
  List after swap: [-17, -63, 72, 73, -88, -31]
  Compare 73 and -88
  Swap 73 and -88
  List after swap: [-17, -63, 72, -88, 73, -31]
  Compare 73 and -31
  Swap 73 and -31
  List after swap: [-17, -63, 72, -88, -31, 73]

Pass 2:
  Compare -17 and -63
  Swap -17 and -63
  List after swap: [-63, -17, 72, -88, -31, 73]
  Compare -17 and 72
  No swap needed
  Compare 72 and -88
  Swap 72 and -88
  List after swap: [-63, -17, -88, 72, -31, 73]
  Compare 72 and -31
  Swap 72 and -31
  List after swap: [-63, -17, -88, -31, 72, 73]

Pass 3:
  Compare -63 and -17
  No swap needed
  Compare -17 and -88
  Swap -17 and -88
  List after swap: [-63, -88, -17, -31, 72, 73]
  Compare -17 and -31
  Swap -17 and -31
  List after swap: [-63, -88, -31, -17, 72, 73]

Pass 4:
  Compare -63 and -88
  Swap -63 and -88
  List after swap: [-88, -63, -31, -17, 72, 73]
  Compare -63 and -31
  No swap needed

Pass 5:
  Compare -88 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -63, -31, -17, 72, 73]
</think>

<response>-88, -63, -31, -17, 72, 73</response>


input: Using the bubble sort method, sort 11, -24, 20 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [11, -24, 20]

Pass 1:
  Compare 11 and -24
  Swap 11 and -24
  List after swap: [-24, 11, 20]
  Compare 11 and 20
  No swap needed

Pass 2:
  Compare -24 and 11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-24, 11, 20]
</think>

<response>-24, 11, 20</response>


input: Sort these integers -25, -49, -29, -66, -77, -56, 28 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-25, -49, -29, -66, -77, -56, 28]

Pass 1:
  Compare -25 and -49
  Swap -25 and -49
  List after swap: [-49, -25, -29, -66, -77, -56, 28]
  Compare -25 and -29
  Swap -25 and -29
  List after swap: [-49, -29, -25, -66, -77, -56, 28]
  Compare -25 and -66
  Swap -25 and -66
  List after swap: [-49, -29, -66, -25, -77, -56, 28]
  Compare -25 and -77
  Swap -25 and -77
  List after swap: [-49, -29, -66, -77, -25, -56, 28]
  Compare -25 and -56
  Swap -25 and -56
  List after swap: [-49, -29, -66, -77, -56, -25, 28]
  Compare -25 and 28
  No swap needed

Pass 2:
  Compare -49 and -29
  No swap needed
  Compare -29 and -66
  Swap -29 and -66
  List after swap: [-49, -66, -29, -77, -56, -25, 28]
  Compare -29 and -77
  Swap -29 and -77
  List after swap: [-49, -66, -77, -29, -56, -25, 28]
  Compare -29 and -56
  Swap -29 and -56
  List after swap: [-49, -66, -77, -56, -29, -25, 28]
  Compare -29 and -25
  No swap needed

Pass 3:
  Compare -49 and -66
  Swap -49 and -66
  List after swap: [-66, -49, -77, -56, -29, -25, 28]
  Compare -49 and -77
  Swap -49 and -77
  List after swap: [-66, -77, -49, -56, -29, -25, 28]
  Compare -49 and -56
  Swap -49 and -56
  List after swap: [-66, -77, -56, -49, -29, -25, 28]
  Compare -49 and -29
  No swap needed

Pass 4:
  Compare -66 and -77
  Swap -66 and -77
  List after swap: [-77, -66, -56, -49, -29, -25, 28]
  Compare -66 and -56
  No swap needed
  Compare -56 and -49
  No swap needed

Pass 5:
  Compare -77 and -66
  No swap needed
  Compare -66 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -66, -56, -49, -29, -25, 28]
</think>

<response>-77, -66, -56, -49, -29, -25, 28</response>


input: Implement bubble sort on -48, 34 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-48, 34]

Pass 1:
  Compare -48 and 34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-48, 34]
</think>

<response>-48, 34</response>


input: Using the bubble sort method, sort 90, -37, -26, 16, 44 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [90, -37, -26, 16, 44]

Pass 1:
  Compare 90 and -37
  Swap 90 and -37
  List after swap: [-37, 90, -26, 16, 44]
  Compare 90 and -26
  Swap 90 and -26
  List after swap: [-37, -26, 90, 16, 44]
  Compare 90 and 16
  Swap 90 and 16
  List after swap: [-37, -26, 16, 90, 44]
  Compare 90 and 44
  Swap 90 and 44
  List after swap: [-37, -26, 16, 44, 90]

Pass 2:
  Compare -37 and -26
  No swap needed
  Compare -26 and 16
  No swap needed
  Compare 16 and 44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-37, -26, 16, 44, 90]
</think>

<response>-37, -26, 16, 44, 90</response>


input: Arrange the numbers 95, 93, 68, -75, 58 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [95, 93, 68, -75, 58]

Pass 1:
  Compare 95 and 93
  Swap 95 and 93
  List after swap: [93, 95, 68, -75, 58]
  Compare 95 and 68
  Swap 95 and 68
  List after swap: [93, 68, 95, -75, 58]
  Compare 95 and -75
  Swap 95 and -75
  List after swap: [93, 68, -75, 95, 58]
  Compare 95 and 58
  Swap 95 and 58
  List after swap: [93, 68, -75, 58, 95]

Pass 2:
  Compare 93 and 68
  Swap 93 and 68
  List after swap: [68, 93, -75, 58, 95]
  Compare 93 and -75
  Swap 93 and -75
  List after swap: [68, -75, 93, 58, 95]
  Compare 93 and 58
  Swap 93 and 58
  List after swap: [68, -75, 58, 93, 95]

Pass 3:
  Compare 68 and -75
  Swap 68 and -75
  List after swap: [-75, 68, 58, 93, 95]
  Compare 68 and 58
  Swap 68 and 58
  List after swap: [-75, 58, 68, 93, 95]

Pass 4:
  Compare -75 and 58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, 58, 68, 93, 95]
</think>

<response>-75, 58, 68, 93, 95</response>


input: Execute bubble sort to sort 76, -85, 54, 27, -9, 28 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [76, -85, 54, 27, -9, 28]

Pass 1:
  Compare 76 and -85
  Swap 76 and -85
  List after swap: [-85, 76, 54, 27, -9, 28]
  Compare 76 and 54
  Swap 76 and 54
  List after swap: [-85, 54, 76, 27, -9, 28]
  Compare 76 and 27
  Swap 76 and 27
  List after swap: [-85, 54, 27, 76, -9, 28]
  Compare 76 and -9
  Swap 76 and -9
  List after swap: [-85, 54, 27, -9, 76, 28]
  Compare 76 and 28
  Swap 76 and 28
  List after swap: [-85, 54, 27, -9, 28, 76]

Pass 2:
  Compare -85 and 54
  No swap needed
  Compare 54 and 27
  Swap 54 and 27
  List after swap: [-85, 27, 54, -9, 28, 76]
  Compare 54 and -9
  Swap 54 and -9
  List after swap: [-85, 27, -9, 54, 28, 76]
  Compare 54 and 28
  Swap 54 and 28
  List after swap: [-85, 27, -9, 28, 54, 76]

Pass 3:
  Compare -85 and 27
  No swap needed
  Compare 27 and -9
  Swap 27 and -9
  List after swap: [-85, -9, 27, 28, 54, 76]
  Compare 27 and 28
  No swap needed

Pass 4:
  Compare -85 and -9
  No swap needed
  Compare -9 and 27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -9, 27, 28, 54, 76]
</think>

<response>-85, -9, 27, 28, 54, 76</response>


input: Using the bubble sort method, sort 45, -100, 99, 19, -39, 55 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [45, -100, 99, 19, -39, 55]

Pass 1:
  Compare 45 and -100
  Swap 45 and -100
  List after swap: [-100, 45, 99, 19, -39, 55]
  Compare 45 and 99
  No swap needed
  Compare 99 and 19
  Swap 99 and 19
  List after swap: [-100, 45, 19, 99, -39, 55]
  Compare 99 and -39
  Swap 99 and -39
  List after swap: [-100, 45, 19, -39, 99, 55]
  Compare 99 and 55
  Swap 99 and 55
  List after swap: [-100, 45, 19, -39, 55, 99]

Pass 2:
  Compare -100 and 45
  No swap needed
  Compare 45 and 19
  Swap 45 and 19
  List after swap: [-100, 19, 45, -39, 55, 99]
  Compare 45 and -39
  Swap 45 and -39
  List after swap: [-100, 19, -39, 45, 55, 99]
  Compare 45 and 55
  No swap needed

Pass 3:
  Compare -100 and 19
  No swap needed
  Compare 19 and -39
  Swap 19 and -39
  List after swap: [-100, -39, 19, 45, 55, 99]
  Compare 19 and 45
  No swap needed

Pass 4:
  Compare -100 and -39
  No swap needed
  Compare -39 and 19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -39, 19, 45, 55, 99]
</think>

<response>-100, -39, 19, 45, 55, 99</response>


input: Implement bubble sort on -62, -5, 77, -12, -25 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-62, -5, 77, -12, -25]

Pass 1:
  Compare -62 and -5
  No swap needed
  Compare -5 and 77
  No swap needed
  Compare 77 and -12
  Swap 77 and -12
  List after swap: [-62, -5, -12, 77, -25]
  Compare 77 and -25
  Swap 77 and -25
  List after swap: [-62, -5, -12, -25, 77]

Pass 2:
  Compare -62 and -5
  No swap needed
  Compare -5 and -12
  Swap -5 and -12
  List after swap: [-62, -12, -5, -25, 77]
  Compare -5 and -25
  Swap -5 and -25
  List after swap: [-62, -12, -25, -5, 77]

Pass 3:
  Compare -62 and -12
  No swap needed
  Compare -12 and -25
  Swap -12 and -25
  List after swap: [-62, -25, -12, -5, 77]

Pass 4:
  Compare -62 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -25, -12, -5, 77]
</think>

<response>-62, -25, -12, -5, 77</response>


input: Use the bubble sort technique to reorder 16, 69, 1, 14, -50, -34, 45 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [16, 69, 1, 14, -50, -34, 45]

Pass 1:
  Compare 16 and 69
  No swap needed
  Compare 69 and 1
  Swap 69 and 1
  List after swap: [16, 1, 69, 14, -50, -34, 45]
  Compare 69 and 14
  Swap 69 and 14
  List after swap: [16, 1, 14, 69, -50, -34, 45]
  Compare 69 and -50
  Swap 69 and -50
  List after swap: [16, 1, 14, -50, 69, -34, 45]
  Compare 69 and -34
  Swap 69 and -34
  List after swap: [16, 1, 14, -50, -34, 69, 45]
  Compare 69 and 45
  Swap 69 and 45
  List after swap: [16, 1, 14, -50, -34, 45, 69]

Pass 2:
  Compare 16 and 1
  Swap 16 and 1
  List after swap: [1, 16, 14, -50, -34, 45, 69]
  Compare 16 and 14
  Swap 16 and 14
  List after swap: [1, 14, 16, -50, -34, 45, 69]
  Compare 16 and -50
  Swap 16 and -50
  List after swap: [1, 14, -50, 16, -34, 45, 69]
  Compare 16 and -34
  Swap 16 and -34
  List after swap: [1, 14, -50, -34, 16, 45, 69]
  Compare 16 and 45
  No swap needed

Pass 3:
  Compare 1 and 14
  No swap needed
  Compare 14 and -50
  Swap 14 and -50
  List after swap: [1, -50, 14, -34, 16, 45, 69]
  Compare 14 and -34
  Swap 14 and -34
  List after swap: [1, -50, -34, 14, 16, 45, 69]
  Compare 14 and 16
  No swap needed

Pass 4:
  Compare 1 and -50
  Swap 1 and -50
  List after swap: [-50, 1, -34, 14, 16, 45, 69]
  Compare 1 and -34
  Swap 1 and -34
  List after swap: [-50, -34, 1, 14, 16, 45, 69]
  Compare 1 and 14
  No swap needed

Pass 5:
  Compare -50 and -34
  No swap needed
  Compare -34 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, -34, 1, 14, 16, 45, 69]
</think>

<response>-50, -34, 1, 14, 16, 45, 69</response>


input: Sort these integers 21, 12, -70, -64, 78, -71, -76, 45 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [21, 12, -70, -64, 78, -71, -76, 45]

Pass 1:
  Compare 21 and 12
  Swap 21 and 12
  List after swap: [12, 21, -70, -64, 78, -71, -76, 45]
  Compare 21 and -70
  Swap 21 and -70
  List after swap: [12, -70, 21, -64, 78, -71, -76, 45]
  Compare 21 and -64
  Swap 21 and -64
  List after swap: [12, -70, -64, 21, 78, -71, -76, 45]
  Compare 21 and 78
  No swap needed
  Compare 78 and -71
  Swap 78 and -71
  List after swap: [12, -70, -64, 21, -71, 78, -76, 45]
  Compare 78 and -76
  Swap 78 and -76
  List after swap: [12, -70, -64, 21, -71, -76, 78, 45]
  Compare 78 and 45
  Swap 78 and 45
  List after swap: [12, -70, -64, 21, -71, -76, 45, 78]

Pass 2:
  Compare 12 and -70
  Swap 12 and -70
  List after swap: [-70, 12, -64, 21, -71, -76, 45, 78]
  Compare 12 and -64
  Swap 12 and -64
  List after swap: [-70, -64, 12, 21, -71, -76, 45, 78]
  Compare 12 and 21
  No swap needed
  Compare 21 and -71
  Swap 21 and -71
  List after swap: [-70, -64, 12, -71, 21, -76, 45, 78]
  Compare 21 and -76
  Swap 21 and -76
  List after swap: [-70, -64, 12, -71, -76, 21, 45, 78]
  Compare 21 and 45
  No swap needed

Pass 3:
  Compare -70 and -64
  No swap needed
  Compare -64 and 12
  No swap needed
  Compare 12 and -71
  Swap 12 and -71
  List after swap: [-70, -64, -71, 12, -76, 21, 45, 78]
  Compare 12 and -76
  Swap 12 and -76
  List after swap: [-70, -64, -71, -76, 12, 21, 45, 78]
  Compare 12 and 21
  No swap needed

Pass 4:
  Compare -70 and -64
  No swap needed
  Compare -64 and -71
  Swap -64 and -71
  List after swap: [-70, -71, -64, -76, 12, 21, 45, 78]
  Compare -64 and -76
  Swap -64 and -76
  List after swap: [-70, -71, -76, -64, 12, 21, 45, 78]
  Compare -64 and 12
  No swap needed

Pass 5:
  Compare -70 and -71
  Swap -70 and -71
  List after swap: [-71, -70, -76, -64, 12, 21, 45, 78]
  Compare -70 and -76
  Swap -70 and -76
  List after swap: [-71, -76, -70, -64, 12, 21, 45, 78]
  Compare -70 and -64
  No swap needed

Pass 6:
  Compare -71 and -76
  Swap -71 and -76
  List after swap: [-76, -71, -70, -64, 12, 21, 45, 78]
  Compare -71 and -70
  No swap needed

Pass 7:
  Compare -76 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -71, -70, -64, 12, 21, 45, 78]
</think>

<response>-76, -71, -70, -64, 12, 21, 45, 78</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 18, -71, -44, -28, -9, -50, -27, 76, -8, -88.

output:
<think>
Initial list: [18, -71, -44, -28, -9, -50, -27, 76, -8, -88]

Pass 1:
  Compare 18 and -71
  Swap 18 and -71
  List after swap: [-71, 18, -44, -28, -9, -50, -27, 76, -8, -88]
  Compare 18 and -44
  Swap 18 and -44
  List after swap: [-71, -44, 18, -28, -9, -50, -27, 76, -8, -88]
  Compare 18 and -28
  Swap 18 and -28
  List after swap: [-71, -44, -28, 18, -9, -50, -27, 76, -8, -88]
  Compare 18 and -9
  Swap 18 and -9
  List after swap: [-71, -44, -28, -9, 18, -50, -27, 76, -8, -88]
  Compare 18 and -50
  Swap 18 and -50
  List after swap: [-71, -44, -28, -9, -50, 18, -27, 76, -8, -88]
  Compare 18 and -27
  Swap 18 and -27
  List after swap: [-71, -44, -28, -9, -50, -27, 18, 76, -8, -88]
  Compare 18 and 76
  No swap needed
  Compare 76 and -8
  Swap 76 and -8
  List after swap: [-71, -44, -28, -9, -50, -27, 18, -8, 76, -88]
  Compare 76 and -88
  Swap 76 and -88
  List after swap: [-71, -44, -28, -9, -50, -27, 18, -8, -88, 76]

Pass 2:
  Compare -71 and -44
  No swap needed
  Compare -44 and -28
  No swap needed
  Compare -28 and -9
  No swap needed
  Compare -9 and -50
  Swap -9 and -50
  List after swap: [-71, -44, -28, -50, -9, -27, 18, -8, -88, 76]
  Compare -9 and -27
  Swap -9 and -27
  List after swap: [-71, -44, -28, -50, -27, -9, 18, -8, -88, 76]
  Compare -9 and 18
  No swap needed
  Compare 18 and -8
  Swap 18 and -8
  List after swap: [-71, -44, -28, -50, -27, -9, -8, 18, -88, 76]
  Compare 18 and -88
  Swap 18 and -88
  List after swap: [-71, -44, -28, -50, -27, -9, -8, -88, 18, 76]

Pass 3:
  Compare -71 and -44
  No swap needed
  Compare -44 and -28
  No swap needed
  Compare -28 and -50
  Swap -28 and -50
  List after swap: [-71, -44, -50, -28, -27, -9, -8, -88, 18, 76]
  Compare -28 and -27
  No swap needed
  Compare -27 and -9
  No swap needed
  Compare -9 and -8
  No swap needed
  Compare -8 and -88
  Swap -8 and -88
  List after swap: [-71, -44, -50, -28, -27, -9, -88, -8, 18, 76]

Pass 4:
  Compare -71 and -44
  No swap needed
  Compare -44 and -50
  Swap -44 and -50
  List after swap: [-71, -50, -44, -28, -27, -9, -88, -8, 18, 76]
  Compare -44 and -28
  No swap needed
  Compare -28 and -27
  No swap needed
  Compare -27 and -9
  No swap needed
  Compare -9 and -88
  Swap -9 and -88
  List after swap: [-71, -50, -44, -28, -27, -88, -9, -8, 18, 76]

Pass 5:
  Compare -71 and -50
  No swap needed
  Compare -50 and -44
  No swap needed
  Compare -44 and -28
  No swap needed
  Compare -28 and -27
  No swap needed
  Compare -27 and -88
  Swap -27 and -88
  List after swap: [-71, -50, -44, -28, -88, -27, -9, -8, 18, 76]

Pass 6:
  Compare -71 and -50
  No swap needed
  Compare -50 and -44
  No swap needed
  Compare -44 and -28
  No swap needed
  Compare -28 and -88
  Swap -28 and -88
  List after swap: [-71, -50, -44, -88, -28, -27, -9, -8, 18, 76]

Pass 7:
  Compare -71 and -50
  No swap needed
  Compare -50 and -44
  No swap needed
  Compare -44 and -88
  Swap -44 and -88
  List after swap: [-71, -50, -88, -44, -28, -27, -9, -8, 18, 76]

Pass 8:
  Compare -71 and -50
  No swap needed
  Compare -50 and -88
  Swap -50 and -88
  List after swap: [-71, -88, -50, -44, -28, -27, -9, -8, 18, 76]

Pass 9:
  Compare -71 and -88
  Swap -71 and -88
  List after swap: [-88, -71, -50, -44, -28, -27, -9, -8, 18, 76]

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

Final sorted list: [-88, -71, -50, -44, -28, -27, -9, -8, 18, 76]
</think>

<response>-88, -71, -50, -44, -28, -27, -9, -8, 18, 76</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -77, 84, 54, 92, 41, -88, -16, -71, -25, -46.

output:
<think>
Initial list: [-77, 84, 54, 92, 41, -88, -16, -71, -25, -46]

Pass 1:
  Compare -77 and 84
  No swap needed
  Compare 84 and 54
  Swap 84 and 54
  List after swap: [-77, 54, 84, 92, 41, -88, -16, -71, -25, -46]
  Compare 84 and 92
  No swap needed
  Compare 92 and 41
  Swap 92 and 41
  List after swap: [-77, 54, 84, 41, 92, -88, -16, -71, -25, -46]
  Compare 92 and -88
  Swap 92 and -88
  List after swap: [-77, 54, 84, 41, -88, 92, -16, -71, -25, -46]
  Compare 92 and -16
  Swap 92 and -16
  List after swap: [-77, 54, 84, 41, -88, -16, 92, -71, -25, -46]
  Compare 92 and -71
  Swap 92 and -71
  List after swap: [-77, 54, 84, 41, -88, -16, -71, 92, -25, -46]
  Compare 92 and -25
  Swap 92 and -25
  List after swap: [-77, 54, 84, 41, -88, -16, -71, -25, 92, -46]
  Compare 92 and -46
  Swap 92 and -46
  List after swap: [-77, 54, 84, 41, -88, -16, -71, -25, -46, 92]

Pass 2:
  Compare -77 and 54
  No swap needed
  Compare 54 and 84
  No swap needed
  Compare 84 and 41
  Swap 84 and 41
  List after swap: [-77, 54, 41, 84, -88, -16, -71, -25, -46, 92]
  Compare 84 and -88
  Swap 84 and -88
  List after swap: [-77, 54, 41, -88, 84, -16, -71, -25, -46, 92]
  Compare 84 and -16
  Swap 84 and -16
  List after swap: [-77, 54, 41, -88, -16, 84, -71, -25, -46, 92]
  Compare 84 and -71
  Swap 84 and -71
  List after swap: [-77, 54, 41, -88, -16, -71, 84, -25, -46, 92]
  Compare 84 and -25
  Swap 84 and -25
  List after swap: [-77, 54, 41, -88, -16, -71, -25, 84, -46, 92]
  Compare 84 and -46
  Swap 84 and -46
  List after swap: [-77, 54, 41, -88, -16, -71, -25, -46, 84, 92]

Pass 3:
  Compare -77 and 54
  No swap needed
  Compare 54 and 41
  Swap 54 and 41
  List after swap: [-77, 41, 54, -88, -16, -71, -25, -46, 84, 92]
  Compare 54 and -88
  Swap 54 and -88
  List after swap: [-77, 41, -88, 54, -16, -71, -25, -46, 84, 92]
  Compare 54 and -16
  Swap 54 and -16
  List after swap: [-77, 41, -88, -16, 54, -71, -25, -46, 84, 92]
  Compare 54 and -71
  Swap 54 and -71
  List after swap: [-77, 41, -88, -16, -71, 54, -25, -46, 84, 92]
  Compare 54 and -25
  Swap 54 and -25
  List after swap: [-77, 41, -88, -16, -71, -25, 54, -46, 84, 92]
  Compare 54 and -46
  Swap 54 and -46
  List after swap: [-77, 41, -88, -16, -71, -25, -46, 54, 84, 92]

Pass 4:
  Compare -77 and 41
  No swap needed
  Compare 41 and -88
  Swap 41 and -88
  List after swap: [-77, -88, 41, -16, -71, -25, -46, 54, 84, 92]
  Compare 41 and -16
  Swap 41 and -16
  List after swap: [-77, -88, -16, 41, -71, -25, -46, 54, 84, 92]
  Compare 41 and -71
  Swap 41 and -71
  List after swap: [-77, -88, -16, -71, 41, -25, -46, 54, 84, 92]
  Compare 41 and -25
  Swap 41 and -25
  List after swap: [-77, -88, -16, -71, -25, 41, -46, 54, 84, 92]
  Compare 41 and -46
  Swap 41 and -46
  List after swap: [-77, -88, -16, -71, -25, -46, 41, 54, 84, 92]

Pass 5:
  Compare -77 and -88
  Swap -77 and -88
  List after swap: [-88, -77, -16, -71, -25, -46, 41, 54, 84, 92]
  Compare -77 and -16
  No swap needed
  Compare -16 and -71
  Swap -16 and -71
  List after swap: [-88, -77, -71, -16, -25, -46, 41, 54, 84, 92]
  Compare -16 and -25
  Swap -16 and -25
  List after swap: [-88, -77, -71, -25, -16, -46, 41, 54, 84, 92]
  Compare -16 and -46
  Swap -16 and -46
  List after swap: [-88, -77, -71, -25, -46, -16, 41, 54, 84, 92]

Pass 6:
  Compare -88 and -77
  No swap needed
  Compare -77 and -71
  No swap needed
  Compare -71 and -25
  No swap needed
  Compare -25 and -46
  Swap -25 and -46
  List after swap: [-88, -77, -71, -46, -25, -16, 41, 54, 84, 92]

Pass 7:
  Compare -88 and -77
  No swap needed
  Compare -77 and -71
  No swap needed
  Compare -71 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -77, -71, -46, -25, -16, 41, 54, 84, 92]
</think>

<response>-88, -77, -71, -46, -25, -16, 41, 54, 84, 92</response>


input: Implement bubble sort on -74, -73, 97, -97, 84, 21, 99, 56, 92 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-74, -73, 97, -97, 84, 21, 99, 56, 92]

Pass 1:
  Compare -74 and -73
  No swap needed
  Compare -73 and 97
  No swap needed
  Compare 97 and -97
  Swap 97 and -97
  List after swap: [-74, -73, -97, 97, 84, 21, 99, 56, 92]
  Compare 97 and 84
  Swap 97 and 84
  List after swap: [-74, -73, -97, 84, 97, 21, 99, 56, 92]
  Compare 97 and 21
  Swap 97 and 21
  List after swap: [-74, -73, -97, 84, 21, 97, 99, 56, 92]
  Compare 97 and 99
  No swap needed
  Compare 99 and 56
  Swap 99 and 56
  List after swap: [-74, -73, -97, 84, 21, 97, 56, 99, 92]
  Compare 99 and 92
  Swap 99 and 92
  List after swap: [-74, -73, -97, 84, 21, 97, 56, 92, 99]

Pass 2:
  Compare -74 and -73
  No swap needed
  Compare -73 and -97
  Swap -73 and -97
  List after swap: [-74, -97, -73, 84, 21, 97, 56, 92, 99]
  Compare -73 and 84
  No swap needed
  Compare 84 and 21
  Swap 84 and 21
  List after swap: [-74, -97, -73, 21, 84, 97, 56, 92, 99]
  Compare 84 and 97
  No swap needed
  Compare 97 and 56
  Swap 97 and 56
  List after swap: [-74, -97, -73, 21, 84, 56, 97, 92, 99]
  Compare 97 and 92
  Swap 97 and 92
  List after swap: [-74, -97, -73, 21, 84, 56, 92, 97, 99]

Pass 3:
  Compare -74 and -97
  Swap -74 and -97
  List after swap: [-97, -74, -73, 21, 84, 56, 92, 97, 99]
  Compare -74 and -73
  No swap needed
  Compare -73 and 21
  No swap needed
  Compare 21 and 84
  No swap needed
  Compare 84 and 56
  Swap 84 and 56
  List after swap: [-97, -74, -73, 21, 56, 84, 92, 97, 99]
  Compare 84 and 92
  No swap needed

Pass 4:
  Compare -97 and -74
  No swap needed
  Compare -74 and -73
  No swap needed
  Compare -73 and 21
  No swap needed
  Compare 21 and 56
  No swap needed
  Compare 56 and 84
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -74, -73, 21, 56, 84, 92, 97, 99]
</think>

<response>-97, -74, -73, 21, 56, 84, 92, 97, 99</response>


input: Perform a bubble sort on the integers 80, -20, 14, 68, 88, 90, 61, 25, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [80, -20, 14, 68, 88, 90, 61, 25]

Pass 1:
  Compare 80 and -20
  Swap 80 and -20
  List after swap: [-20, 80, 14, 68, 88, 90, 61, 25]
  Compare 80 and 14
  Swap 80 and 14
  List after swap: [-20, 14, 80, 68, 88, 90, 61, 25]
  Compare 80 and 68
  Swap 80 and 68
  List after swap: [-20, 14, 68, 80, 88, 90, 61, 25]
  Compare 80 and 88
  No swap needed
  Compare 88 and 90
  No swap needed
  Compare 90 and 61
  Swap 90 and 61
  List after swap: [-20, 14, 68, 80, 88, 61, 90, 25]
  Compare 90 and 25
  Swap 90 and 25
  List after swap: [-20, 14, 68, 80, 88, 61, 25, 90]

Pass 2:
  Compare -20 and 14
  No swap needed
  Compare 14 and 68
  No swap needed
  Compare 68 and 80
  No swap needed
  Compare 80 and 88
  No swap needed
  Compare 88 and 61
  Swap 88 and 61
  List after swap: [-20, 14, 68, 80, 61, 88, 25, 90]
  Compare 88 and 25
  Swap 88 and 25
  List after swap: [-20, 14, 68, 80, 61, 25, 88, 90]

Pass 3:
  Compare -20 and 14
  No swap needed
  Compare 14 and 68
  No swap needed
  Compare 68 and 80
  No swap needed
  Compare 80 and 61
  Swap 80 and 61
  List after swap: [-20, 14, 68, 61, 80, 25, 88, 90]
  Compare 80 and 25
  Swap 80 and 25
  List after swap: [-20, 14, 68, 61, 25, 80, 88, 90]

Pass 4:
  Compare -20 and 14
  No swap needed
  Compare 14 and 68
  No swap needed
  Compare 68 and 61
  Swap 68 and 61
  List after swap: [-20, 14, 61, 68, 25, 80, 88, 90]
  Compare 68 and 25
  Swap 68 and 25
  List after swap: [-20, 14, 61, 25, 68, 80, 88, 90]

Pass 5:
  Compare -20 and 14
  No swap needed
  Compare 14 and 61
  No swap needed
  Compare 61 and 25
  Swap 61 and 25
  List after swap: [-20, 14, 25, 61, 68, 80, 88, 90]

Pass 6:
  Compare -20 and 14
  No swap needed
  Compare 14 and 25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-20, 14, 25, 61, 68, 80, 88, 90]
</think>

<response>-20, 14, 25, 61, 68, 80, 88, 90</response>


input: Carry out the bubble sort algorithm on 78, -89, -4, 96 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [78, -89, -4, 96]

Pass 1:
  Compare 78 and -89
  Swap 78 and -89
  List after swap: [-89, 78, -4, 96]
  Compare 78 and -4
  Swap 78 and -4
  List after swap: [-89, -4, 78, 96]
  Compare 78 and 96
  No swap needed

Pass 2:
  Compare -89 and -4
  No swap needed
  Compare -4 and 78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -4, 78, 96]
</think>

<response>-89, -4, 78, 96</response>


input: Perform a bubble sort on the integers -27, -12, 85, -60, -80, -48, 54, -28, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-27, -12, 85, -60, -80, -48, 54, -28]

Pass 1:
  Compare -27 and -12
  No swap needed
  Compare -12 and 85
  No swap needed
  Compare 85 and -60
  Swap 85 and -60
  List after swap: [-27, -12, -60, 85, -80, -48, 54, -28]
  Compare 85 and -80
  Swap 85 and -80
  List after swap: [-27, -12, -60, -80, 85, -48, 54, -28]
  Compare 85 and -48
  Swap 85 and -48
  List after swap: [-27, -12, -60, -80, -48, 85, 54, -28]
  Compare 85 and 54
  Swap 85 and 54
  List after swap: [-27, -12, -60, -80, -48, 54, 85, -28]
  Compare 85 and -28
  Swap 85 and -28
  List after swap: [-27, -12, -60, -80, -48, 54, -28, 85]

Pass 2:
  Compare -27 and -12
  No swap needed
  Compare -12 and -60
  Swap -12 and -60
  List after swap: [-27, -60, -12, -80, -48, 54, -28, 85]
  Compare -12 and -80
  Swap -12 and -80
  List after swap: [-27, -60, -80, -12, -48, 54, -28, 85]
  Compare -12 and -48
  Swap -12 and -48
  List after swap: [-27, -60, -80, -48, -12, 54, -28, 85]
  Compare -12 and 54
  No swap needed
  Compare 54 and -28
  Swap 54 and -28
  List after swap: [-27, -60, -80, -48, -12, -28, 54, 85]

Pass 3:
  Compare -27 and -60
  Swap -27 and -60
  List after swap: [-60, -27, -80, -48, -12, -28, 54, 85]
  Compare -27 and -80
  Swap -27 and -80
  List after swap: [-60, -80, -27, -48, -12, -28, 54, 85]
  Compare -27 and -48
  Swap -27 and -48
  List after swap: [-60, -80, -48, -27, -12, -28, 54, 85]
  Compare -27 and -12
  No swap needed
  Compare -12 and -28
  Swap -12 and -28
  List after swap: [-60, -80, -48, -27, -28, -12, 54, 85]

Pass 4:
  Compare -60 and -80
  Swap -60 and -80
  List after swap: [-80, -60, -48, -27, -28, -12, 54, 85]
  Compare -60 and -48
  No swap needed
  Compare -48 and -27
  No swap needed
  Compare -27 and -28
  Swap -27 and -28
  List after swap: [-80, -60, -48, -28, -27, -12, 54, 85]

Pass 5:
  Compare -80 and -60
  No swap needed
  Compare -60 and -48
  No swap needed
  Compare -48 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -60, -48, -28, -27, -12, 54, 85]
</think>

<response>-80, -60, -48, -28, -27, -12, 54, 85</response>


input: Carry out the bubble sort algorithm on -69, -65, 68, 13, 79, 62, -36 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-69, -65, 68, 13, 79, 62, -36]

Pass 1:
  Compare -69 and -65
  No swap needed
  Compare -65 and 68
  No swap needed
  Compare 68 and 13
  Swap 68 and 13
  List after swap: [-69, -65, 13, 68, 79, 62, -36]
  Compare 68 and 79
  No swap needed
  Compare 79 and 62
  Swap 79 and 62
  List after swap: [-69, -65, 13, 68, 62, 79, -36]
  Compare 79 and -36
  Swap 79 and -36
  List after swap: [-69, -65, 13, 68, 62, -36, 79]

Pass 2:
  Compare -69 and -65
  No swap needed
  Compare -65 and 13
  No swap needed
  Compare 13 and 68
  No swap needed
  Compare 68 and 62
  Swap 68 and 62
  List after swap: [-69, -65, 13, 62, 68, -36, 79]
  Compare 68 and -36
  Swap 68 and -36
  List after swap: [-69, -65, 13, 62, -36, 68, 79]

Pass 3:
  Compare -69 and -65
  No swap needed
  Compare -65 and 13
  No swap needed
  Compare 13 and 62
  No swap needed
  Compare 62 and -36
  Swap 62 and -36
  List after swap: [-69, -65, 13, -36, 62, 68, 79]

Pass 4:
  Compare -69 and -65
  No swap needed
  Compare -65 and 13
  No swap needed
  Compare 13 and -36
  Swap 13 and -36
  List after swap: [-69, -65, -36, 13, 62, 68, 79]

Pass 5:
  Compare -69 and -65
  No swap needed
  Compare -65 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -65, -36, 13, 62, 68, 79]
</think>

<response>-69, -65, -36, 13, 62, 68, 79</response>