input: Arrange the numbers 19, -66, -53, -48, 46, -68 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [19, -66, -53, -48, 46, -68]

Pass 1:
  Compare 19 and -66
  Swap 19 and -66
  List after swap: [-66, 19, -53, -48, 46, -68]
  Compare 19 and -53
  Swap 19 and -53
  List after swap: [-66, -53, 19, -48, 46, -68]
  Compare 19 and -48
  Swap 19 and -48
  List after swap: [-66, -53, -48, 19, 46, -68]
  Compare 19 and 46
  No swap needed
  Compare 46 and -68
  Swap 46 and -68
  List after swap: [-66, -53, -48, 19, -68, 46]

Pass 2:
  Compare -66 and -53
  No swap needed
  Compare -53 and -48
  No swap needed
  Compare -48 and 19
  No swap needed
  Compare 19 and -68
  Swap 19 and -68
  List after swap: [-66, -53, -48, -68, 19, 46]

Pass 3:
  Compare -66 and -53
  No swap needed
  Compare -53 and -48
  No swap needed
  Compare -48 and -68
  Swap -48 and -68
  List after swap: [-66, -53, -68, -48, 19, 46]

Pass 4:
  Compare -66 and -53
  No swap needed
  Compare -53 and -68
  Swap -53 and -68
  List after swap: [-66, -68, -53, -48, 19, 46]

Pass 5:
  Compare -66 and -68
  Swap -66 and -68
  List after swap: [-68, -66, -53, -48, 19, 46]

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

Final sorted list: [-68, -66, -53, -48, 19, 46]
</think>

<response>-68, -66, -53, -48, 19, 46</response>


input: Demonstrate how bubble sort orders the integers -9, 98, 39, 6, 81, -60 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-9, 98, 39, 6, 81, -60]

Pass 1:
  Compare -9 and 98
  No swap needed
  Compare 98 and 39
  Swap 98 and 39
  List after swap: [-9, 39, 98, 6, 81, -60]
  Compare 98 and 6
  Swap 98 and 6
  List after swap: [-9, 39, 6, 98, 81, -60]
  Compare 98 and 81
  Swap 98 and 81
  List after swap: [-9, 39, 6, 81, 98, -60]
  Compare 98 and -60
  Swap 98 and -60
  List after swap: [-9, 39, 6, 81, -60, 98]

Pass 2:
  Compare -9 and 39
  No swap needed
  Compare 39 and 6
  Swap 39 and 6
  List after swap: [-9, 6, 39, 81, -60, 98]
  Compare 39 and 81
  No swap needed
  Compare 81 and -60
  Swap 81 and -60
  List after swap: [-9, 6, 39, -60, 81, 98]

Pass 3:
  Compare -9 and 6
  No swap needed
  Compare 6 and 39
  No swap needed
  Compare 39 and -60
  Swap 39 and -60
  List after swap: [-9, 6, -60, 39, 81, 98]

Pass 4:
  Compare -9 and 6
  No swap needed
  Compare 6 and -60
  Swap 6 and -60
  List after swap: [-9, -60, 6, 39, 81, 98]

Pass 5:
  Compare -9 and -60
  Swap -9 and -60
  List after swap: [-60, -9, 6, 39, 81, 98]

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

Final sorted list: [-60, -9, 6, 39, 81, 98]
</think>

<response>-60, -9, 6, 39, 81, 98</response>


input: Using the bubble sort method, sort -78, 17, -79, 10, 35, -36, 58, 97 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-78, 17, -79, 10, 35, -36, 58, 97]

Pass 1:
  Compare -78 and 17
  No swap needed
  Compare 17 and -79
  Swap 17 and -79
  List after swap: [-78, -79, 17, 10, 35, -36, 58, 97]
  Compare 17 and 10
  Swap 17 and 10
  List after swap: [-78, -79, 10, 17, 35, -36, 58, 97]
  Compare 17 and 35
  No swap needed
  Compare 35 and -36
  Swap 35 and -36
  List after swap: [-78, -79, 10, 17, -36, 35, 58, 97]
  Compare 35 and 58
  No swap needed
  Compare 58 and 97
  No swap needed

Pass 2:
  Compare -78 and -79
  Swap -78 and -79
  List after swap: [-79, -78, 10, 17, -36, 35, 58, 97]
  Compare -78 and 10
  No swap needed
  Compare 10 and 17
  No swap needed
  Compare 17 and -36
  Swap 17 and -36
  List after swap: [-79, -78, 10, -36, 17, 35, 58, 97]
  Compare 17 and 35
  No swap needed
  Compare 35 and 58
  No swap needed

Pass 3:
  Compare -79 and -78
  No swap needed
  Compare -78 and 10
  No swap needed
  Compare 10 and -36
  Swap 10 and -36
  List after swap: [-79, -78, -36, 10, 17, 35, 58, 97]
  Compare 10 and 17
  No swap needed
  Compare 17 and 35
  No swap needed

Pass 4:
  Compare -79 and -78
  No swap needed
  Compare -78 and -36
  No swap needed
  Compare -36 and 10
  No swap needed
  Compare 10 and 17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -78, -36, 10, 17, 35, 58, 97]
</think>

<response>-79, -78, -36, 10, 17, 35, 58, 97</response>


input: Using the bubble sort method, sort 0, 87, -8, 71, -37, 34, -14, -73, -12, 27 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [0, 87, -8, 71, -37, 34, -14, -73, -12, 27]

Pass 1:
  Compare 0 and 87
  No swap needed
  Compare 87 and -8
  Swap 87 and -8
  List after swap: [0, -8, 87, 71, -37, 34, -14, -73, -12, 27]
  Compare 87 and 71
  Swap 87 and 71
  List after swap: [0, -8, 71, 87, -37, 34, -14, -73, -12, 27]
  Compare 87 and -37
  Swap 87 and -37
  List after swap: [0, -8, 71, -37, 87, 34, -14, -73, -12, 27]
  Compare 87 and 34
  Swap 87 and 34
  List after swap: [0, -8, 71, -37, 34, 87, -14, -73, -12, 27]
  Compare 87 and -14
  Swap 87 and -14
  List after swap: [0, -8, 71, -37, 34, -14, 87, -73, -12, 27]
  Compare 87 and -73
  Swap 87 and -73
  List after swap: [0, -8, 71, -37, 34, -14, -73, 87, -12, 27]
  Compare 87 and -12
  Swap 87 and -12
  List after swap: [0, -8, 71, -37, 34, -14, -73, -12, 87, 27]
  Compare 87 and 27
  Swap 87 and 27
  List after swap: [0, -8, 71, -37, 34, -14, -73, -12, 27, 87]

Pass 2:
  Compare 0 and -8
  Swap 0 and -8
  List after swap: [-8, 0, 71, -37, 34, -14, -73, -12, 27, 87]
  Compare 0 and 71
  No swap needed
  Compare 71 and -37
  Swap 71 and -37
  List after swap: [-8, 0, -37, 71, 34, -14, -73, -12, 27, 87]
  Compare 71 and 34
  Swap 71 and 34
  List after swap: [-8, 0, -37, 34, 71, -14, -73, -12, 27, 87]
  Compare 71 and -14
  Swap 71 and -14
  List after swap: [-8, 0, -37, 34, -14, 71, -73, -12, 27, 87]
  Compare 71 and -73
  Swap 71 and -73
  List after swap: [-8, 0, -37, 34, -14, -73, 71, -12, 27, 87]
  Compare 71 and -12
  Swap 71 and -12
  List after swap: [-8, 0, -37, 34, -14, -73, -12, 71, 27, 87]
  Compare 71 and 27
  Swap 71 and 27
  List after swap: [-8, 0, -37, 34, -14, -73, -12, 27, 71, 87]

Pass 3:
  Compare -8 and 0
  No swap needed
  Compare 0 and -37
  Swap 0 and -37
  List after swap: [-8, -37, 0, 34, -14, -73, -12, 27, 71, 87]
  Compare 0 and 34
  No swap needed
  Compare 34 and -14
  Swap 34 and -14
  List after swap: [-8, -37, 0, -14, 34, -73, -12, 27, 71, 87]
  Compare 34 and -73
  Swap 34 and -73
  List after swap: [-8, -37, 0, -14, -73, 34, -12, 27, 71, 87]
  Compare 34 and -12
  Swap 34 and -12
  List after swap: [-8, -37, 0, -14, -73, -12, 34, 27, 71, 87]
  Compare 34 and 27
  Swap 34 and 27
  List after swap: [-8, -37, 0, -14, -73, -12, 27, 34, 71, 87]

Pass 4:
  Compare -8 and -37
  Swap -8 and -37
  List after swap: [-37, -8, 0, -14, -73, -12, 27, 34, 71, 87]
  Compare -8 and 0
  No swap needed
  Compare 0 and -14
  Swap 0 and -14
  List after swap: [-37, -8, -14, 0, -73, -12, 27, 34, 71, 87]
  Compare 0 and -73
  Swap 0 and -73
  List after swap: [-37, -8, -14, -73, 0, -12, 27, 34, 71, 87]
  Compare 0 and -12
  Swap 0 and -12
  List after swap: [-37, -8, -14, -73, -12, 0, 27, 34, 71, 87]
  Compare 0 and 27
  No swap needed

Pass 5:
  Compare -37 and -8
  No swap needed
  Compare -8 and -14
  Swap -8 and -14
  List after swap: [-37, -14, -8, -73, -12, 0, 27, 34, 71, 87]
  Compare -8 and -73
  Swap -8 and -73
  List after swap: [-37, -14, -73, -8, -12, 0, 27, 34, 71, 87]
  Compare -8 and -12
  Swap -8 and -12
  List after swap: [-37, -14, -73, -12, -8, 0, 27, 34, 71, 87]
  Compare -8 and 0
  No swap needed

Pass 6:
  Compare -37 and -14
  No swap needed
  Compare -14 and -73
  Swap -14 and -73
  List after swap: [-37, -73, -14, -12, -8, 0, 27, 34, 71, 87]
  Compare -14 and -12
  No swap needed
  Compare -12 and -8
  No swap needed

Pass 7:
  Compare -37 and -73
  Swap -37 and -73
  List after swap: [-73, -37, -14, -12, -8, 0, 27, 34, 71, 87]
  Compare -37 and -14
  No swap needed
  Compare -14 and -12
  No swap needed

Pass 8:
  Compare -73 and -37
  No swap needed
  Compare -37 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -37, -14, -12, -8, 0, 27, 34, 71, 87]
</think>

<response>-73, -37, -14, -12, -8, 0, 27, 34, 71, 87</response>


input: Use the bubble sort technique to reorder -15, 35, 85, 30, -24, -55, 59 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-15, 35, 85, 30, -24, -55, 59]

Pass 1:
  Compare -15 and 35
  No swap needed
  Compare 35 and 85
  No swap needed
  Compare 85 and 30
  Swap 85 and 30
  List after swap: [-15, 35, 30, 85, -24, -55, 59]
  Compare 85 and -24
  Swap 85 and -24
  List after swap: [-15, 35, 30, -24, 85, -55, 59]
  Compare 85 and -55
  Swap 85 and -55
  List after swap: [-15, 35, 30, -24, -55, 85, 59]
  Compare 85 and 59
  Swap 85 and 59
  List after swap: [-15, 35, 30, -24, -55, 59, 85]

Pass 2:
  Compare -15 and 35
  No swap needed
  Compare 35 and 30
  Swap 35 and 30
  List after swap: [-15, 30, 35, -24, -55, 59, 85]
  Compare 35 and -24
  Swap 35 and -24
  List after swap: [-15, 30, -24, 35, -55, 59, 85]
  Compare 35 and -55
  Swap 35 and -55
  List after swap: [-15, 30, -24, -55, 35, 59, 85]
  Compare 35 and 59
  No swap needed

Pass 3:
  Compare -15 and 30
  No swap needed
  Compare 30 and -24
  Swap 30 and -24
  List after swap: [-15, -24, 30, -55, 35, 59, 85]
  Compare 30 and -55
  Swap 30 and -55
  List after swap: [-15, -24, -55, 30, 35, 59, 85]
  Compare 30 and 35
  No swap needed

Pass 4:
  Compare -15 and -24
  Swap -15 and -24
  List after swap: [-24, -15, -55, 30, 35, 59, 85]
  Compare -15 and -55
  Swap -15 and -55
  List after swap: [-24, -55, -15, 30, 35, 59, 85]
  Compare -15 and 30
  No swap needed

Pass 5:
  Compare -24 and -55
  Swap -24 and -55
  List after swap: [-55, -24, -15, 30, 35, 59, 85]
  Compare -24 and -15
  No swap needed

Pass 6:
  Compare -55 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, -24, -15, 30, 35, 59, 85]
</think>

<response>-55, -24, -15, 30, 35, 59, 85</response>


input: Arrange the numbers 75, 90, -13, -56, 48, -75, 7, -66 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [75, 90, -13, -56, 48, -75, 7, -66]

Pass 1:
  Compare 75 and 90
  No swap needed
  Compare 90 and -13
  Swap 90 and -13
  List after swap: [75, -13, 90, -56, 48, -75, 7, -66]
  Compare 90 and -56
  Swap 90 and -56
  List after swap: [75, -13, -56, 90, 48, -75, 7, -66]
  Compare 90 and 48
  Swap 90 and 48
  List after swap: [75, -13, -56, 48, 90, -75, 7, -66]
  Compare 90 and -75
  Swap 90 and -75
  List after swap: [75, -13, -56, 48, -75, 90, 7, -66]
  Compare 90 and 7
  Swap 90 and 7
  List after swap: [75, -13, -56, 48, -75, 7, 90, -66]
  Compare 90 and -66
  Swap 90 and -66
  List after swap: [75, -13, -56, 48, -75, 7, -66, 90]

Pass 2:
  Compare 75 and -13
  Swap 75 and -13
  List after swap: [-13, 75, -56, 48, -75, 7, -66, 90]
  Compare 75 and -56
  Swap 75 and -56
  List after swap: [-13, -56, 75, 48, -75, 7, -66, 90]
  Compare 75 and 48
  Swap 75 and 48
  List after swap: [-13, -56, 48, 75, -75, 7, -66, 90]
  Compare 75 and -75
  Swap 75 and -75
  List after swap: [-13, -56, 48, -75, 75, 7, -66, 90]
  Compare 75 and 7
  Swap 75 and 7
  List after swap: [-13, -56, 48, -75, 7, 75, -66, 90]
  Compare 75 and -66
  Swap 75 and -66
  List after swap: [-13, -56, 48, -75, 7, -66, 75, 90]

Pass 3:
  Compare -13 and -56
  Swap -13 and -56
  List after swap: [-56, -13, 48, -75, 7, -66, 75, 90]
  Compare -13 and 48
  No swap needed
  Compare 48 and -75
  Swap 48 and -75
  List after swap: [-56, -13, -75, 48, 7, -66, 75, 90]
  Compare 48 and 7
  Swap 48 and 7
  List after swap: [-56, -13, -75, 7, 48, -66, 75, 90]
  Compare 48 and -66
  Swap 48 and -66
  List after swap: [-56, -13, -75, 7, -66, 48, 75, 90]

Pass 4:
  Compare -56 and -13
  No swap needed
  Compare -13 and -75
  Swap -13 and -75
  List after swap: [-56, -75, -13, 7, -66, 48, 75, 90]
  Compare -13 and 7
  No swap needed
  Compare 7 and -66
  Swap 7 and -66
  List after swap: [-56, -75, -13, -66, 7, 48, 75, 90]

Pass 5:
  Compare -56 and -75
  Swap -56 and -75
  List after swap: [-75, -56, -13, -66, 7, 48, 75, 90]
  Compare -56 and -13
  No swap needed
  Compare -13 and -66
  Swap -13 and -66
  List after swap: [-75, -56, -66, -13, 7, 48, 75, 90]

Pass 6:
  Compare -75 and -56
  No swap needed
  Compare -56 and -66
  Swap -56 and -66
  List after swap: [-75, -66, -56, -13, 7, 48, 75, 90]

Pass 7:
  Compare -75 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -66, -56, -13, 7, 48, 75, 90]
</think>

<response>-75, -66, -56, -13, 7, 48, 75, 90</response>


input: Arrange the numbers 87, -18, 24, 41, 55, 21, 95, 89 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [87, -18, 24, 41, 55, 21, 95, 89]

Pass 1:
  Compare 87 and -18
  Swap 87 and -18
  List after swap: [-18, 87, 24, 41, 55, 21, 95, 89]
  Compare 87 and 24
  Swap 87 and 24
  List after swap: [-18, 24, 87, 41, 55, 21, 95, 89]
  Compare 87 and 41
  Swap 87 and 41
  List after swap: [-18, 24, 41, 87, 55, 21, 95, 89]
  Compare 87 and 55
  Swap 87 and 55
  List after swap: [-18, 24, 41, 55, 87, 21, 95, 89]
  Compare 87 and 21
  Swap 87 and 21
  List after swap: [-18, 24, 41, 55, 21, 87, 95, 89]
  Compare 87 and 95
  No swap needed
  Compare 95 and 89
  Swap 95 and 89
  List after swap: [-18, 24, 41, 55, 21, 87, 89, 95]

Pass 2:
  Compare -18 and 24
  No swap needed
  Compare 24 and 41
  No swap needed
  Compare 41 and 55
  No swap needed
  Compare 55 and 21
  Swap 55 and 21
  List after swap: [-18, 24, 41, 21, 55, 87, 89, 95]
  Compare 55 and 87
  No swap needed
  Compare 87 and 89
  No swap needed

Pass 3:
  Compare -18 and 24
  No swap needed
  Compare 24 and 41
  No swap needed
  Compare 41 and 21
  Swap 41 and 21
  List after swap: [-18, 24, 21, 41, 55, 87, 89, 95]
  Compare 41 and 55
  No swap needed
  Compare 55 and 87
  No swap needed

Pass 4:
  Compare -18 and 24
  No swap needed
  Compare 24 and 21
  Swap 24 and 21
  List after swap: [-18, 21, 24, 41, 55, 87, 89, 95]
  Compare 24 and 41
  No swap needed
  Compare 41 and 55
  No swap needed

Pass 5:
  Compare -18 and 21
  No swap needed
  Compare 21 and 24
  No swap needed
  Compare 24 and 41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-18, 21, 24, 41, 55, 87, 89, 95]
</think>

<response>-18, 21, 24, 41, 55, 87, 89, 95</response>


input: Arrange the numbers -62, 53, -82, -47 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-62, 53, -82, -47]

Pass 1:
  Compare -62 and 53
  No swap needed
  Compare 53 and -82
  Swap 53 and -82
  List after swap: [-62, -82, 53, -47]
  Compare 53 and -47
  Swap 53 and -47
  List after swap: [-62, -82, -47, 53]

Pass 2:
  Compare -62 and -82
  Swap -62 and -82
  List after swap: [-82, -62, -47, 53]
  Compare -62 and -47
  No swap needed

Pass 3:
  Compare -82 and -62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -62, -47, 53]
</think>

<response>-82, -62, -47, 53</response>


input: Sort the list 49, 72, 32, -42, -88 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [49, 72, 32, -42, -88]

Pass 1:
  Compare 49 and 72
  No swap needed
  Compare 72 and 32
  Swap 72 and 32
  List after swap: [49, 32, 72, -42, -88]
  Compare 72 and -42
  Swap 72 and -42
  List after swap: [49, 32, -42, 72, -88]
  Compare 72 and -88
  Swap 72 and -88
  List after swap: [49, 32, -42, -88, 72]

Pass 2:
  Compare 49 and 32
  Swap 49 and 32
  List after swap: [32, 49, -42, -88, 72]
  Compare 49 and -42
  Swap 49 and -42
  List after swap: [32, -42, 49, -88, 72]
  Compare 49 and -88
  Swap 49 and -88
  List after swap: [32, -42, -88, 49, 72]

Pass 3:
  Compare 32 and -42
  Swap 32 and -42
  List after swap: [-42, 32, -88, 49, 72]
  Compare 32 and -88
  Swap 32 and -88
  List after swap: [-42, -88, 32, 49, 72]

Pass 4:
  Compare -42 and -88
  Swap -42 and -88
  List after swap: [-88, -42, 32, 49, 72]

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

Final sorted list: [-88, -42, 32, 49, 72]
</think>

<response>-88, -42, 32, 49, 72</response>


input: Sort these integers -10, 92, -86, 12 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-10, 92, -86, 12]

Pass 1:
  Compare -10 and 92
  No swap needed
  Compare 92 and -86
  Swap 92 and -86
  List after swap: [-10, -86, 92, 12]
  Compare 92 and 12
  Swap 92 and 12
  List after swap: [-10, -86, 12, 92]

Pass 2:
  Compare -10 and -86
  Swap -10 and -86
  List after swap: [-86, -10, 12, 92]
  Compare -10 and 12
  No swap needed

Pass 3:
  Compare -86 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -10, 12, 92]
</think>

<response>-86, -10, 12, 92</response>


input: Arrange the numbers -16, -91, -25, 73, -57, 6, 26 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-16, -91, -25, 73, -57, 6, 26]

Pass 1:
  Compare -16 and -91
  Swap -16 and -91
  List after swap: [-91, -16, -25, 73, -57, 6, 26]
  Compare -16 and -25
  Swap -16 and -25
  List after swap: [-91, -25, -16, 73, -57, 6, 26]
  Compare -16 and 73
  No swap needed
  Compare 73 and -57
  Swap 73 and -57
  List after swap: [-91, -25, -16, -57, 73, 6, 26]
  Compare 73 and 6
  Swap 73 and 6
  List after swap: [-91, -25, -16, -57, 6, 73, 26]
  Compare 73 and 26
  Swap 73 and 26
  List after swap: [-91, -25, -16, -57, 6, 26, 73]

Pass 2:
  Compare -91 and -25
  No swap needed
  Compare -25 and -16
  No swap needed
  Compare -16 and -57
  Swap -16 and -57
  List after swap: [-91, -25, -57, -16, 6, 26, 73]
  Compare -16 and 6
  No swap needed
  Compare 6 and 26
  No swap needed

Pass 3:
  Compare -91 and -25
  No swap needed
  Compare -25 and -57
  Swap -25 and -57
  List after swap: [-91, -57, -25, -16, 6, 26, 73]
  Compare -25 and -16
  No swap needed
  Compare -16 and 6
  No swap needed

Pass 4:
  Compare -91 and -57
  No swap needed
  Compare -57 and -25
  No swap needed
  Compare -25 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -57, -25, -16, 6, 26, 73]
</think>

<response>-91, -57, -25, -16, 6, 26, 73</response>


input: Carry out the bubble sort algorithm on -86, 5, 37, 64, 35, -26, -1 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-86, 5, 37, 64, 35, -26, -1]

Pass 1:
  Compare -86 and 5
  No swap needed
  Compare 5 and 37
  No swap needed
  Compare 37 and 64
  No swap needed
  Compare 64 and 35
  Swap 64 and 35
  List after swap: [-86, 5, 37, 35, 64, -26, -1]
  Compare 64 and -26
  Swap 64 and -26
  List after swap: [-86, 5, 37, 35, -26, 64, -1]
  Compare 64 and -1
  Swap 64 and -1
  List after swap: [-86, 5, 37, 35, -26, -1, 64]

Pass 2:
  Compare -86 and 5
  No swap needed
  Compare 5 and 37
  No swap needed
  Compare 37 and 35
  Swap 37 and 35
  List after swap: [-86, 5, 35, 37, -26, -1, 64]
  Compare 37 and -26
  Swap 37 and -26
  List after swap: [-86, 5, 35, -26, 37, -1, 64]
  Compare 37 and -1
  Swap 37 and -1
  List after swap: [-86, 5, 35, -26, -1, 37, 64]

Pass 3:
  Compare -86 and 5
  No swap needed
  Compare 5 and 35
  No swap needed
  Compare 35 and -26
  Swap 35 and -26
  List after swap: [-86, 5, -26, 35, -1, 37, 64]
  Compare 35 and -1
  Swap 35 and -1
  List after swap: [-86, 5, -26, -1, 35, 37, 64]

Pass 4:
  Compare -86 and 5
  No swap needed
  Compare 5 and -26
  Swap 5 and -26
  List after swap: [-86, -26, 5, -1, 35, 37, 64]
  Compare 5 and -1
  Swap 5 and -1
  List after swap: [-86, -26, -1, 5, 35, 37, 64]

Pass 5:
  Compare -86 and -26
  No swap needed
  Compare -26 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -26, -1, 5, 35, 37, 64]
</think>

<response>-86, -26, -1, 5, 35, 37, 64</response>


input: Demonstrate how bubble sort orders the integers 21, -22, 57, 67 in ascending sequence, showing all steps.

output:
<think>
Initial list: [21, -22, 57, 67]

Pass 1:
  Compare 21 and -22
  Swap 21 and -22
  List after swap: [-22, 21, 57, 67]
  Compare 21 and 57
  No swap needed
  Compare 57 and 67
  No swap needed

Pass 2:
  Compare -22 and 21
  No swap needed
  Compare 21 and 57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-22, 21, 57, 67]
</think>

<response>-22, 21, 57, 67</response>


input: Implement bubble sort on 23, 3, 4, 28, -16, 68, 85, 77, -87 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [23, 3, 4, 28, -16, 68, 85, 77, -87]

Pass 1:
  Compare 23 and 3
  Swap 23 and 3
  List after swap: [3, 23, 4, 28, -16, 68, 85, 77, -87]
  Compare 23 and 4
  Swap 23 and 4
  List after swap: [3, 4, 23, 28, -16, 68, 85, 77, -87]
  Compare 23 and 28
  No swap needed
  Compare 28 and -16
  Swap 28 and -16
  List after swap: [3, 4, 23, -16, 28, 68, 85, 77, -87]
  Compare 28 and 68
  No swap needed
  Compare 68 and 85
  No swap needed
  Compare 85 and 77
  Swap 85 and 77
  List after swap: [3, 4, 23, -16, 28, 68, 77, 85, -87]
  Compare 85 and -87
  Swap 85 and -87
  List after swap: [3, 4, 23, -16, 28, 68, 77, -87, 85]

Pass 2:
  Compare 3 and 4
  No swap needed
  Compare 4 and 23
  No swap needed
  Compare 23 and -16
  Swap 23 and -16
  List after swap: [3, 4, -16, 23, 28, 68, 77, -87, 85]
  Compare 23 and 28
  No swap needed
  Compare 28 and 68
  No swap needed
  Compare 68 and 77
  No swap needed
  Compare 77 and -87
  Swap 77 and -87
  List after swap: [3, 4, -16, 23, 28, 68, -87, 77, 85]

Pass 3:
  Compare 3 and 4
  No swap needed
  Compare 4 and -16
  Swap 4 and -16
  List after swap: [3, -16, 4, 23, 28, 68, -87, 77, 85]
  Compare 4 and 23
  No swap needed
  Compare 23 and 28
  No swap needed
  Compare 28 and 68
  No swap needed
  Compare 68 and -87
  Swap 68 and -87
  List after swap: [3, -16, 4, 23, 28, -87, 68, 77, 85]

Pass 4:
  Compare 3 and -16
  Swap 3 and -16
  List after swap: [-16, 3, 4, 23, 28, -87, 68, 77, 85]
  Compare 3 and 4
  No swap needed
  Compare 4 and 23
  No swap needed
  Compare 23 and 28
  No swap needed
  Compare 28 and -87
  Swap 28 and -87
  List after swap: [-16, 3, 4, 23, -87, 28, 68, 77, 85]

Pass 5:
  Compare -16 and 3
  No swap needed
  Compare 3 and 4
  No swap needed
  Compare 4 and 23
  No swap needed
  Compare 23 and -87
  Swap 23 and -87
  List after swap: [-16, 3, 4, -87, 23, 28, 68, 77, 85]

Pass 6:
  Compare -16 and 3
  No swap needed
  Compare 3 and 4
  No swap needed
  Compare 4 and -87
  Swap 4 and -87
  List after swap: [-16, 3, -87, 4, 23, 28, 68, 77, 85]

Pass 7:
  Compare -16 and 3
  No swap needed
  Compare 3 and -87
  Swap 3 and -87
  List after swap: [-16, -87, 3, 4, 23, 28, 68, 77, 85]

Pass 8:
  Compare -16 and -87
  Swap -16 and -87
  List after swap: [-87, -16, 3, 4, 23, 28, 68, 77, 85]

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

Final sorted list: [-87, -16, 3, 4, 23, 28, 68, 77, 85]
</think>

<response>-87, -16, 3, 4, 23, 28, 68, 77, 85</response>


input: Use the bubble sort technique to reorder 57, 19 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [57, 19]

Pass 1:
  Compare 57 and 19
  Swap 57 and 19
  List after swap: [19, 57]

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

Final sorted list: [19, 57]
</think>

<response>19, 57</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 27, -34, 16, 85, -81, 40, 60.

output:
<think>
Initial list: [27, -34, 16, 85, -81, 40, 60]

Pass 1:
  Compare 27 and -34
  Swap 27 and -34
  List after swap: [-34, 27, 16, 85, -81, 40, 60]
  Compare 27 and 16
  Swap 27 and 16
  List after swap: [-34, 16, 27, 85, -81, 40, 60]
  Compare 27 and 85
  No swap needed
  Compare 85 and -81
  Swap 85 and -81
  List after swap: [-34, 16, 27, -81, 85, 40, 60]
  Compare 85 and 40
  Swap 85 and 40
  List after swap: [-34, 16, 27, -81, 40, 85, 60]
  Compare 85 and 60
  Swap 85 and 60
  List after swap: [-34, 16, 27, -81, 40, 60, 85]

Pass 2:
  Compare -34 and 16
  No swap needed
  Compare 16 and 27
  No swap needed
  Compare 27 and -81
  Swap 27 and -81
  List after swap: [-34, 16, -81, 27, 40, 60, 85]
  Compare 27 and 40
  No swap needed
  Compare 40 and 60
  No swap needed

Pass 3:
  Compare -34 and 16
  No swap needed
  Compare 16 and -81
  Swap 16 and -81
  List after swap: [-34, -81, 16, 27, 40, 60, 85]
  Compare 16 and 27
  No swap needed
  Compare 27 and 40
  No swap needed

Pass 4:
  Compare -34 and -81
  Swap -34 and -81
  List after swap: [-81, -34, 16, 27, 40, 60, 85]
  Compare -34 and 16
  No swap needed
  Compare 16 and 27
  No swap needed

Pass 5:
  Compare -81 and -34
  No swap needed
  Compare -34 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -34, 16, 27, 40, 60, 85]
</think>

<response>-81, -34, 16, 27, 40, 60, 85</response>


input: Implement bubble sort on 62, 71, 92, 53, -32, 30, -64, -79, -87 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [62, 71, 92, 53, -32, 30, -64, -79, -87]

Pass 1:
  Compare 62 and 71
  No swap needed
  Compare 71 and 92
  No swap needed
  Compare 92 and 53
  Swap 92 and 53
  List after swap: [62, 71, 53, 92, -32, 30, -64, -79, -87]
  Compare 92 and -32
  Swap 92 and -32
  List after swap: [62, 71, 53, -32, 92, 30, -64, -79, -87]
  Compare 92 and 30
  Swap 92 and 30
  List after swap: [62, 71, 53, -32, 30, 92, -64, -79, -87]
  Compare 92 and -64
  Swap 92 and -64
  List after swap: [62, 71, 53, -32, 30, -64, 92, -79, -87]
  Compare 92 and -79
  Swap 92 and -79
  List after swap: [62, 71, 53, -32, 30, -64, -79, 92, -87]
  Compare 92 and -87
  Swap 92 and -87
  List after swap: [62, 71, 53, -32, 30, -64, -79, -87, 92]

Pass 2:
  Compare 62 and 71
  No swap needed
  Compare 71 and 53
  Swap 71 and 53
  List after swap: [62, 53, 71, -32, 30, -64, -79, -87, 92]
  Compare 71 and -32
  Swap 71 and -32
  List after swap: [62, 53, -32, 71, 30, -64, -79, -87, 92]
  Compare 71 and 30
  Swap 71 and 30
  List after swap: [62, 53, -32, 30, 71, -64, -79, -87, 92]
  Compare 71 and -64
  Swap 71 and -64
  List after swap: [62, 53, -32, 30, -64, 71, -79, -87, 92]
  Compare 71 and -79
  Swap 71 and -79
  List after swap: [62, 53, -32, 30, -64, -79, 71, -87, 92]
  Compare 71 and -87
  Swap 71 and -87
  List after swap: [62, 53, -32, 30, -64, -79, -87, 71, 92]

Pass 3:
  Compare 62 and 53
  Swap 62 and 53
  List after swap: [53, 62, -32, 30, -64, -79, -87, 71, 92]
  Compare 62 and -32
  Swap 62 and -32
  List after swap: [53, -32, 62, 30, -64, -79, -87, 71, 92]
  Compare 62 and 30
  Swap 62 and 30
  List after swap: [53, -32, 30, 62, -64, -79, -87, 71, 92]
  Compare 62 and -64
  Swap 62 and -64
  List after swap: [53, -32, 30, -64, 62, -79, -87, 71, 92]
  Compare 62 and -79
  Swap 62 and -79
  List after swap: [53, -32, 30, -64, -79, 62, -87, 71, 92]
  Compare 62 and -87
  Swap 62 and -87
  List after swap: [53, -32, 30, -64, -79, -87, 62, 71, 92]

Pass 4:
  Compare 53 and -32
  Swap 53 and -32
  List after swap: [-32, 53, 30, -64, -79, -87, 62, 71, 92]
  Compare 53 and 30
  Swap 53 and 30
  List after swap: [-32, 30, 53, -64, -79, -87, 62, 71, 92]
  Compare 53 and -64
  Swap 53 and -64
  List after swap: [-32, 30, -64, 53, -79, -87, 62, 71, 92]
  Compare 53 and -79
  Swap 53 and -79
  List after swap: [-32, 30, -64, -79, 53, -87, 62, 71, 92]
  Compare 53 and -87
  Swap 53 and -87
  List after swap: [-32, 30, -64, -79, -87, 53, 62, 71, 92]

Pass 5:
  Compare -32 and 30
  No swap needed
  Compare 30 and -64
  Swap 30 and -64
  List after swap: [-32, -64, 30, -79, -87, 53, 62, 71, 92]
  Compare 30 and -79
  Swap 30 and -79
  List after swap: [-32, -64, -79, 30, -87, 53, 62, 71, 92]
  Compare 30 and -87
  Swap 30 and -87
  List after swap: [-32, -64, -79, -87, 30, 53, 62, 71, 92]

Pass 6:
  Compare -32 and -64
  Swap -32 and -64
  List after swap: [-64, -32, -79, -87, 30, 53, 62, 71, 92]
  Compare -32 and -79
  Swap -32 and -79
  List after swap: [-64, -79, -32, -87, 30, 53, 62, 71, 92]
  Compare -32 and -87
  Swap -32 and -87
  List after swap: [-64, -79, -87, -32, 30, 53, 62, 71, 92]

Pass 7:
  Compare -64 and -79
  Swap -64 and -79
  List after swap: [-79, -64, -87, -32, 30, 53, 62, 71, 92]
  Compare -64 and -87
  Swap -64 and -87
  List after swap: [-79, -87, -64, -32, 30, 53, 62, 71, 92]

Pass 8:
  Compare -79 and -87
  Swap -79 and -87
  List after swap: [-87, -79, -64, -32, 30, 53, 62, 71, 92]

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

Final sorted list: [-87, -79, -64, -32, 30, 53, 62, 71, 92]
</think>

<response>-87, -79, -64, -32, 30, 53, 62, 71, 92</response>


input: Carry out the bubble sort algorithm on 38, 30, -75, -12, -90, -99, -78, -62, 42, 83 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [38, 30, -75, -12, -90, -99, -78, -62, 42, 83]

Pass 1:
  Compare 38 and 30
  Swap 38 and 30
  List after swap: [30, 38, -75, -12, -90, -99, -78, -62, 42, 83]
  Compare 38 and -75
  Swap 38 and -75
  List after swap: [30, -75, 38, -12, -90, -99, -78, -62, 42, 83]
  Compare 38 and -12
  Swap 38 and -12
  List after swap: [30, -75, -12, 38, -90, -99, -78, -62, 42, 83]
  Compare 38 and -90
  Swap 38 and -90
  List after swap: [30, -75, -12, -90, 38, -99, -78, -62, 42, 83]
  Compare 38 and -99
  Swap 38 and -99
  List after swap: [30, -75, -12, -90, -99, 38, -78, -62, 42, 83]
  Compare 38 and -78
  Swap 38 and -78
  List after swap: [30, -75, -12, -90, -99, -78, 38, -62, 42, 83]
  Compare 38 and -62
  Swap 38 and -62
  List after swap: [30, -75, -12, -90, -99, -78, -62, 38, 42, 83]
  Compare 38 and 42
  No swap needed
  Compare 42 and 83
  No swap needed

Pass 2:
  Compare 30 and -75
  Swap 30 and -75
  List after swap: [-75, 30, -12, -90, -99, -78, -62, 38, 42, 83]
  Compare 30 and -12
  Swap 30 and -12
  List after swap: [-75, -12, 30, -90, -99, -78, -62, 38, 42, 83]
  Compare 30 and -90
  Swap 30 and -90
  List after swap: [-75, -12, -90, 30, -99, -78, -62, 38, 42, 83]
  Compare 30 and -99
  Swap 30 and -99
  List after swap: [-75, -12, -90, -99, 30, -78, -62, 38, 42, 83]
  Compare 30 and -78
  Swap 30 and -78
  List after swap: [-75, -12, -90, -99, -78, 30, -62, 38, 42, 83]
  Compare 30 and -62
  Swap 30 and -62
  List after swap: [-75, -12, -90, -99, -78, -62, 30, 38, 42, 83]
  Compare 30 and 38
  No swap needed
  Compare 38 and 42
  No swap needed

Pass 3:
  Compare -75 and -12
  No swap needed
  Compare -12 and -90
  Swap -12 and -90
  List after swap: [-75, -90, -12, -99, -78, -62, 30, 38, 42, 83]
  Compare -12 and -99
  Swap -12 and -99
  List after swap: [-75, -90, -99, -12, -78, -62, 30, 38, 42, 83]
  Compare -12 and -78
  Swap -12 and -78
  List after swap: [-75, -90, -99, -78, -12, -62, 30, 38, 42, 83]
  Compare -12 and -62
  Swap -12 and -62
  List after swap: [-75, -90, -99, -78, -62, -12, 30, 38, 42, 83]
  Compare -12 and 30
  No swap needed
  Compare 30 and 38
  No swap needed

Pass 4:
  Compare -75 and -90
  Swap -75 and -90
  List after swap: [-90, -75, -99, -78, -62, -12, 30, 38, 42, 83]
  Compare -75 and -99
  Swap -75 and -99
  List after swap: [-90, -99, -75, -78, -62, -12, 30, 38, 42, 83]
  Compare -75 and -78
  Swap -75 and -78
  List after swap: [-90, -99, -78, -75, -62, -12, 30, 38, 42, 83]
  Compare -75 and -62
  No swap needed
  Compare -62 and -12
  No swap needed
  Compare -12 and 30
  No swap needed

Pass 5:
  Compare -90 and -99
  Swap -90 and -99
  List after swap: [-99, -90, -78, -75, -62, -12, 30, 38, 42, 83]
  Compare -90 and -78
  No swap needed
  Compare -78 and -75
  No swap needed
  Compare -75 and -62
  No swap needed
  Compare -62 and -12
  No swap needed

Pass 6:
  Compare -99 and -90
  No swap needed
  Compare -90 and -78
  No swap needed
  Compare -78 and -75
  No swap needed
  Compare -75 and -62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -90, -78, -75, -62, -12, 30, 38, 42, 83]
</think>

<response>-99, -90, -78, -75, -62, -12, 30, 38, 42, 83</response>


input: Implement bubble sort on -15, 53, 82, -83, -72 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-15, 53, 82, -83, -72]

Pass 1:
  Compare -15 and 53
  No swap needed
  Compare 53 and 82
  No swap needed
  Compare 82 and -83
  Swap 82 and -83
  List after swap: [-15, 53, -83, 82, -72]
  Compare 82 and -72
  Swap 82 and -72
  List after swap: [-15, 53, -83, -72, 82]

Pass 2:
  Compare -15 and 53
  No swap needed
  Compare 53 and -83
  Swap 53 and -83
  List after swap: [-15, -83, 53, -72, 82]
  Compare 53 and -72
  Swap 53 and -72
  List after swap: [-15, -83, -72, 53, 82]

Pass 3:
  Compare -15 and -83
  Swap -15 and -83
  List after swap: [-83, -15, -72, 53, 82]
  Compare -15 and -72
  Swap -15 and -72
  List after swap: [-83, -72, -15, 53, 82]

Pass 4:
  Compare -83 and -72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -72, -15, 53, 82]
</think>

<response>-83, -72, -15, 53, 82</response>


input: Perform a bubble sort on the integers 82, 8, 77, -81, 70, 38, -35, 4, 33, 83, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [82, 8, 77, -81, 70, 38, -35, 4, 33, 83]

Pass 1:
  Compare 82 and 8
  Swap 82 and 8
  List after swap: [8, 82, 77, -81, 70, 38, -35, 4, 33, 83]
  Compare 82 and 77
  Swap 82 and 77
  List after swap: [8, 77, 82, -81, 70, 38, -35, 4, 33, 83]
  Compare 82 and -81
  Swap 82 and -81
  List after swap: [8, 77, -81, 82, 70, 38, -35, 4, 33, 83]
  Compare 82 and 70
  Swap 82 and 70
  List after swap: [8, 77, -81, 70, 82, 38, -35, 4, 33, 83]
  Compare 82 and 38
  Swap 82 and 38
  List after swap: [8, 77, -81, 70, 38, 82, -35, 4, 33, 83]
  Compare 82 and -35
  Swap 82 and -35
  List after swap: [8, 77, -81, 70, 38, -35, 82, 4, 33, 83]
  Compare 82 and 4
  Swap 82 and 4
  List after swap: [8, 77, -81, 70, 38, -35, 4, 82, 33, 83]
  Compare 82 and 33
  Swap 82 and 33
  List after swap: [8, 77, -81, 70, 38, -35, 4, 33, 82, 83]
  Compare 82 and 83
  No swap needed

Pass 2:
  Compare 8 and 77
  No swap needed
  Compare 77 and -81
  Swap 77 and -81
  List after swap: [8, -81, 77, 70, 38, -35, 4, 33, 82, 83]
  Compare 77 and 70
  Swap 77 and 70
  List after swap: [8, -81, 70, 77, 38, -35, 4, 33, 82, 83]
  Compare 77 and 38
  Swap 77 and 38
  List after swap: [8, -81, 70, 38, 77, -35, 4, 33, 82, 83]
  Compare 77 and -35
  Swap 77 and -35
  List after swap: [8, -81, 70, 38, -35, 77, 4, 33, 82, 83]
  Compare 77 and 4
  Swap 77 and 4
  List after swap: [8, -81, 70, 38, -35, 4, 77, 33, 82, 83]
  Compare 77 and 33
  Swap 77 and 33
  List after swap: [8, -81, 70, 38, -35, 4, 33, 77, 82, 83]
  Compare 77 and 82
  No swap needed

Pass 3:
  Compare 8 and -81
  Swap 8 and -81
  List after swap: [-81, 8, 70, 38, -35, 4, 33, 77, 82, 83]
  Compare 8 and 70
  No swap needed
  Compare 70 and 38
  Swap 70 and 38
  List after swap: [-81, 8, 38, 70, -35, 4, 33, 77, 82, 83]
  Compare 70 and -35
  Swap 70 and -35
  List after swap: [-81, 8, 38, -35, 70, 4, 33, 77, 82, 83]
  Compare 70 and 4
  Swap 70 and 4
  List after swap: [-81, 8, 38, -35, 4, 70, 33, 77, 82, 83]
  Compare 70 and 33
  Swap 70 and 33
  List after swap: [-81, 8, 38, -35, 4, 33, 70, 77, 82, 83]
  Compare 70 and 77
  No swap needed

Pass 4:
  Compare -81 and 8
  No swap needed
  Compare 8 and 38
  No swap needed
  Compare 38 and -35
  Swap 38 and -35
  List after swap: [-81, 8, -35, 38, 4, 33, 70, 77, 82, 83]
  Compare 38 and 4
  Swap 38 and 4
  List after swap: [-81, 8, -35, 4, 38, 33, 70, 77, 82, 83]
  Compare 38 and 33
  Swap 38 and 33
  List after swap: [-81, 8, -35, 4, 33, 38, 70, 77, 82, 83]
  Compare 38 and 70
  No swap needed

Pass 5:
  Compare -81 and 8
  No swap needed
  Compare 8 and -35
  Swap 8 and -35
  List after swap: [-81, -35, 8, 4, 33, 38, 70, 77, 82, 83]
  Compare 8 and 4
  Swap 8 and 4
  List after swap: [-81, -35, 4, 8, 33, 38, 70, 77, 82, 83]
  Compare 8 and 33
  No swap needed
  Compare 33 and 38
  No swap needed

Pass 6:
  Compare -81 and -35
  No swap needed
  Compare -35 and 4
  No swap needed
  Compare 4 and 8
  No swap needed
  Compare 8 and 33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -35, 4, 8, 33, 38, 70, 77, 82, 83]
</think>

<response>-81, -35, 4, 8, 33, 38, 70, 77, 82, 83</response>


input: Sort these integers 96, -10 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [96, -10]

Pass 1:
  Compare 96 and -10
  Swap 96 and -10
  List after swap: [-10, 96]

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

Final sorted list: [-10, 96]
</think>

<response>-10, 96</response>


input: Sort these integers 58, 59, 43, -55 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [58, 59, 43, -55]

Pass 1:
  Compare 58 and 59
  No swap needed
  Compare 59 and 43
  Swap 59 and 43
  List after swap: [58, 43, 59, -55]
  Compare 59 and -55
  Swap 59 and -55
  List after swap: [58, 43, -55, 59]

Pass 2:
  Compare 58 and 43
  Swap 58 and 43
  List after swap: [43, 58, -55, 59]
  Compare 58 and -55
  Swap 58 and -55
  List after swap: [43, -55, 58, 59]

Pass 3:
  Compare 43 and -55
  Swap 43 and -55
  List after swap: [-55, 43, 58, 59]

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

Final sorted list: [-55, 43, 58, 59]
</think>

<response>-55, 43, 58, 59</response>


input: Using the bubble sort method, sort -19, 61, 67, 48, -31 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-19, 61, 67, 48, -31]

Pass 1:
  Compare -19 and 61
  No swap needed
  Compare 61 and 67
  No swap needed
  Compare 67 and 48
  Swap 67 and 48
  List after swap: [-19, 61, 48, 67, -31]
  Compare 67 and -31
  Swap 67 and -31
  List after swap: [-19, 61, 48, -31, 67]

Pass 2:
  Compare -19 and 61
  No swap needed
  Compare 61 and 48
  Swap 61 and 48
  List after swap: [-19, 48, 61, -31, 67]
  Compare 61 and -31
  Swap 61 and -31
  List after swap: [-19, 48, -31, 61, 67]

Pass 3:
  Compare -19 and 48
  No swap needed
  Compare 48 and -31
  Swap 48 and -31
  List after swap: [-19, -31, 48, 61, 67]

Pass 4:
  Compare -19 and -31
  Swap -19 and -31
  List after swap: [-31, -19, 48, 61, 67]

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

Final sorted list: [-31, -19, 48, 61, 67]
</think>

<response>-31, -19, 48, 61, 67</response>


input: Using the bubble sort method, sort 76, 75, -17, -75, -31, 34, 78, 35, -86, 9 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [76, 75, -17, -75, -31, 34, 78, 35, -86, 9]

Pass 1:
  Compare 76 and 75
  Swap 76 and 75
  List after swap: [75, 76, -17, -75, -31, 34, 78, 35, -86, 9]
  Compare 76 and -17
  Swap 76 and -17
  List after swap: [75, -17, 76, -75, -31, 34, 78, 35, -86, 9]
  Compare 76 and -75
  Swap 76 and -75
  List after swap: [75, -17, -75, 76, -31, 34, 78, 35, -86, 9]
  Compare 76 and -31
  Swap 76 and -31
  List after swap: [75, -17, -75, -31, 76, 34, 78, 35, -86, 9]
  Compare 76 and 34
  Swap 76 and 34
  List after swap: [75, -17, -75, -31, 34, 76, 78, 35, -86, 9]
  Compare 76 and 78
  No swap needed
  Compare 78 and 35
  Swap 78 and 35
  List after swap: [75, -17, -75, -31, 34, 76, 35, 78, -86, 9]
  Compare 78 and -86
  Swap 78 and -86
  List after swap: [75, -17, -75, -31, 34, 76, 35, -86, 78, 9]
  Compare 78 and 9
  Swap 78 and 9
  List after swap: [75, -17, -75, -31, 34, 76, 35, -86, 9, 78]

Pass 2:
  Compare 75 and -17
  Swap 75 and -17
  List after swap: [-17, 75, -75, -31, 34, 76, 35, -86, 9, 78]
  Compare 75 and -75
  Swap 75 and -75
  List after swap: [-17, -75, 75, -31, 34, 76, 35, -86, 9, 78]
  Compare 75 and -31
  Swap 75 and -31
  List after swap: [-17, -75, -31, 75, 34, 76, 35, -86, 9, 78]
  Compare 75 and 34
  Swap 75 and 34
  List after swap: [-17, -75, -31, 34, 75, 76, 35, -86, 9, 78]
  Compare 75 and 76
  No swap needed
  Compare 76 and 35
  Swap 76 and 35
  List after swap: [-17, -75, -31, 34, 75, 35, 76, -86, 9, 78]
  Compare 76 and -86
  Swap 76 and -86
  List after swap: [-17, -75, -31, 34, 75, 35, -86, 76, 9, 78]
  Compare 76 and 9
  Swap 76 and 9
  List after swap: [-17, -75, -31, 34, 75, 35, -86, 9, 76, 78]

Pass 3:
  Compare -17 and -75
  Swap -17 and -75
  List after swap: [-75, -17, -31, 34, 75, 35, -86, 9, 76, 78]
  Compare -17 and -31
  Swap -17 and -31
  List after swap: [-75, -31, -17, 34, 75, 35, -86, 9, 76, 78]
  Compare -17 and 34
  No swap needed
  Compare 34 and 75
  No swap needed
  Compare 75 and 35
  Swap 75 and 35
  List after swap: [-75, -31, -17, 34, 35, 75, -86, 9, 76, 78]
  Compare 75 and -86
  Swap 75 and -86
  List after swap: [-75, -31, -17, 34, 35, -86, 75, 9, 76, 78]
  Compare 75 and 9
  Swap 75 and 9
  List after swap: [-75, -31, -17, 34, 35, -86, 9, 75, 76, 78]

Pass 4:
  Compare -75 and -31
  No swap needed
  Compare -31 and -17
  No swap needed
  Compare -17 and 34
  No swap needed
  Compare 34 and 35
  No swap needed
  Compare 35 and -86
  Swap 35 and -86
  List after swap: [-75, -31, -17, 34, -86, 35, 9, 75, 76, 78]
  Compare 35 and 9
  Swap 35 and 9
  List after swap: [-75, -31, -17, 34, -86, 9, 35, 75, 76, 78]

Pass 5:
  Compare -75 and -31
  No swap needed
  Compare -31 and -17
  No swap needed
  Compare -17 and 34
  No swap needed
  Compare 34 and -86
  Swap 34 and -86
  List after swap: [-75, -31, -17, -86, 34, 9, 35, 75, 76, 78]
  Compare 34 and 9
  Swap 34 and 9
  List after swap: [-75, -31, -17, -86, 9, 34, 35, 75, 76, 78]

Pass 6:
  Compare -75 and -31
  No swap needed
  Compare -31 and -17
  No swap needed
  Compare -17 and -86
  Swap -17 and -86
  List after swap: [-75, -31, -86, -17, 9, 34, 35, 75, 76, 78]
  Compare -17 and 9
  No swap needed

Pass 7:
  Compare -75 and -31
  No swap needed
  Compare -31 and -86
  Swap -31 and -86
  List after swap: [-75, -86, -31, -17, 9, 34, 35, 75, 76, 78]
  Compare -31 and -17
  No swap needed

Pass 8:
  Compare -75 and -86
  Swap -75 and -86
  List after swap: [-86, -75, -31, -17, 9, 34, 35, 75, 76, 78]
  Compare -75 and -31
  No swap needed

Pass 9:
  Compare -86 and -75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -75, -31, -17, 9, 34, 35, 75, 76, 78]
</think>

<response>-86, -75, -31, -17, 9, 34, 35, 75, 76, 78</response>


input: Demonstrate how bubble sort orders the integers -15, 24, -73, 72, -27, -95 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-15, 24, -73, 72, -27, -95]

Pass 1:
  Compare -15 and 24
  No swap needed
  Compare 24 and -73
  Swap 24 and -73
  List after swap: [-15, -73, 24, 72, -27, -95]
  Compare 24 and 72
  No swap needed
  Compare 72 and -27
  Swap 72 and -27
  List after swap: [-15, -73, 24, -27, 72, -95]
  Compare 72 and -95
  Swap 72 and -95
  List after swap: [-15, -73, 24, -27, -95, 72]

Pass 2:
  Compare -15 and -73
  Swap -15 and -73
  List after swap: [-73, -15, 24, -27, -95, 72]
  Compare -15 and 24
  No swap needed
  Compare 24 and -27
  Swap 24 and -27
  List after swap: [-73, -15, -27, 24, -95, 72]
  Compare 24 and -95
  Swap 24 and -95
  List after swap: [-73, -15, -27, -95, 24, 72]

Pass 3:
  Compare -73 and -15
  No swap needed
  Compare -15 and -27
  Swap -15 and -27
  List after swap: [-73, -27, -15, -95, 24, 72]
  Compare -15 and -95
  Swap -15 and -95
  List after swap: [-73, -27, -95, -15, 24, 72]

Pass 4:
  Compare -73 and -27
  No swap needed
  Compare -27 and -95
  Swap -27 and -95
  List after swap: [-73, -95, -27, -15, 24, 72]

Pass 5:
  Compare -73 and -95
  Swap -73 and -95
  List after swap: [-95, -73, -27, -15, 24, 72]

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

Final sorted list: [-95, -73, -27, -15, 24, 72]
</think>

<response>-95, -73, -27, -15, 24, 72</response>


input: Using the bubble sort method, sort 84, 21 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [84, 21]

Pass 1:
  Compare 84 and 21
  Swap 84 and 21
  List after swap: [21, 84]

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

Final sorted list: [21, 84]
</think>

<response>21, 84</response>


input: Execute bubble sort to sort 11, -85, -68, -13, -44, -97 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [11, -85, -68, -13, -44, -97]

Pass 1:
  Compare 11 and -85
  Swap 11 and -85
  List after swap: [-85, 11, -68, -13, -44, -97]
  Compare 11 and -68
  Swap 11 and -68
  List after swap: [-85, -68, 11, -13, -44, -97]
  Compare 11 and -13
  Swap 11 and -13
  List after swap: [-85, -68, -13, 11, -44, -97]
  Compare 11 and -44
  Swap 11 and -44
  List after swap: [-85, -68, -13, -44, 11, -97]
  Compare 11 and -97
  Swap 11 and -97
  List after swap: [-85, -68, -13, -44, -97, 11]

Pass 2:
  Compare -85 and -68
  No swap needed
  Compare -68 and -13
  No swap needed
  Compare -13 and -44
  Swap -13 and -44
  List after swap: [-85, -68, -44, -13, -97, 11]
  Compare -13 and -97
  Swap -13 and -97
  List after swap: [-85, -68, -44, -97, -13, 11]

Pass 3:
  Compare -85 and -68
  No swap needed
  Compare -68 and -44
  No swap needed
  Compare -44 and -97
  Swap -44 and -97
  List after swap: [-85, -68, -97, -44, -13, 11]

Pass 4:
  Compare -85 and -68
  No swap needed
  Compare -68 and -97
  Swap -68 and -97
  List after swap: [-85, -97, -68, -44, -13, 11]

Pass 5:
  Compare -85 and -97
  Swap -85 and -97
  List after swap: [-97, -85, -68, -44, -13, 11]

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

Final sorted list: [-97, -85, -68, -44, -13, 11]
</think>

<response>-97, -85, -68, -44, -13, 11</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -48, -8, -95, 89, 86, -71, -49, -98.

output:
<think>
Initial list: [-48, -8, -95, 89, 86, -71, -49, -98]

Pass 1:
  Compare -48 and -8
  No swap needed
  Compare -8 and -95
  Swap -8 and -95
  List after swap: [-48, -95, -8, 89, 86, -71, -49, -98]
  Compare -8 and 89
  No swap needed
  Compare 89 and 86
  Swap 89 and 86
  List after swap: [-48, -95, -8, 86, 89, -71, -49, -98]
  Compare 89 and -71
  Swap 89 and -71
  List after swap: [-48, -95, -8, 86, -71, 89, -49, -98]
  Compare 89 and -49
  Swap 89 and -49
  List after swap: [-48, -95, -8, 86, -71, -49, 89, -98]
  Compare 89 and -98
  Swap 89 and -98
  List after swap: [-48, -95, -8, 86, -71, -49, -98, 89]

Pass 2:
  Compare -48 and -95
  Swap -48 and -95
  List after swap: [-95, -48, -8, 86, -71, -49, -98, 89]
  Compare -48 and -8
  No swap needed
  Compare -8 and 86
  No swap needed
  Compare 86 and -71
  Swap 86 and -71
  List after swap: [-95, -48, -8, -71, 86, -49, -98, 89]
  Compare 86 and -49
  Swap 86 and -49
  List after swap: [-95, -48, -8, -71, -49, 86, -98, 89]
  Compare 86 and -98
  Swap 86 and -98
  List after swap: [-95, -48, -8, -71, -49, -98, 86, 89]

Pass 3:
  Compare -95 and -48
  No swap needed
  Compare -48 and -8
  No swap needed
  Compare -8 and -71
  Swap -8 and -71
  List after swap: [-95, -48, -71, -8, -49, -98, 86, 89]
  Compare -8 and -49
  Swap -8 and -49
  List after swap: [-95, -48, -71, -49, -8, -98, 86, 89]
  Compare -8 and -98
  Swap -8 and -98
  List after swap: [-95, -48, -71, -49, -98, -8, 86, 89]

Pass 4:
  Compare -95 and -48
  No swap needed
  Compare -48 and -71
  Swap -48 and -71
  List after swap: [-95, -71, -48, -49, -98, -8, 86, 89]
  Compare -48 and -49
  Swap -48 and -49
  List after swap: [-95, -71, -49, -48, -98, -8, 86, 89]
  Compare -48 and -98
  Swap -48 and -98
  List after swap: [-95, -71, -49, -98, -48, -8, 86, 89]

Pass 5:
  Compare -95 and -71
  No swap needed
  Compare -71 and -49
  No swap needed
  Compare -49 and -98
  Swap -49 and -98
  List after swap: [-95, -71, -98, -49, -48, -8, 86, 89]

Pass 6:
  Compare -95 and -71
  No swap needed
  Compare -71 and -98
  Swap -71 and -98
  List after swap: [-95, -98, -71, -49, -48, -8, 86, 89]

Pass 7:
  Compare -95 and -98
  Swap -95 and -98
  List after swap: [-98, -95, -71, -49, -48, -8, 86, 89]

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

Final sorted list: [-98, -95, -71, -49, -48, -8, 86, 89]
</think>

<response>-98, -95, -71, -49, -48, -8, 86, 89</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -25, -88, -70, 15.

output:
<think>
Initial list: [-25, -88, -70, 15]

Pass 1:
  Compare -25 and -88
  Swap -25 and -88
  List after swap: [-88, -25, -70, 15]
  Compare -25 and -70
  Swap -25 and -70
  List after swap: [-88, -70, -25, 15]
  Compare -25 and 15
  No swap needed

Pass 2:
  Compare -88 and -70
  No swap needed
  Compare -70 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -70, -25, 15]
</think>

<response>-88, -70, -25, 15</response>


input: Sort these integers 25, -87, 37, 47, -61, 8 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [25, -87, 37, 47, -61, 8]

Pass 1:
  Compare 25 and -87
  Swap 25 and -87
  List after swap: [-87, 25, 37, 47, -61, 8]
  Compare 25 and 37
  No swap needed
  Compare 37 and 47
  No swap needed
  Compare 47 and -61
  Swap 47 and -61
  List after swap: [-87, 25, 37, -61, 47, 8]
  Compare 47 and 8
  Swap 47 and 8
  List after swap: [-87, 25, 37, -61, 8, 47]

Pass 2:
  Compare -87 and 25
  No swap needed
  Compare 25 and 37
  No swap needed
  Compare 37 and -61
  Swap 37 and -61
  List after swap: [-87, 25, -61, 37, 8, 47]
  Compare 37 and 8
  Swap 37 and 8
  List after swap: [-87, 25, -61, 8, 37, 47]

Pass 3:
  Compare -87 and 25
  No swap needed
  Compare 25 and -61
  Swap 25 and -61
  List after swap: [-87, -61, 25, 8, 37, 47]
  Compare 25 and 8
  Swap 25 and 8
  List after swap: [-87, -61, 8, 25, 37, 47]

Pass 4:
  Compare -87 and -61
  No swap needed
  Compare -61 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -61, 8, 25, 37, 47]
</think>

<response>-87, -61, 8, 25, 37, 47</response>


input: Using the bubble sort method, sort 62, -12, -41, 95, -93 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [62, -12, -41, 95, -93]

Pass 1:
  Compare 62 and -12
  Swap 62 and -12
  List after swap: [-12, 62, -41, 95, -93]
  Compare 62 and -41
  Swap 62 and -41
  List after swap: [-12, -41, 62, 95, -93]
  Compare 62 and 95
  No swap needed
  Compare 95 and -93
  Swap 95 and -93
  List after swap: [-12, -41, 62, -93, 95]

Pass 2:
  Compare -12 and -41
  Swap -12 and -41
  List after swap: [-41, -12, 62, -93, 95]
  Compare -12 and 62
  No swap needed
  Compare 62 and -93
  Swap 62 and -93
  List after swap: [-41, -12, -93, 62, 95]

Pass 3:
  Compare -41 and -12
  No swap needed
  Compare -12 and -93
  Swap -12 and -93
  List after swap: [-41, -93, -12, 62, 95]

Pass 4:
  Compare -41 and -93
  Swap -41 and -93
  List after swap: [-93, -41, -12, 62, 95]

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

Final sorted list: [-93, -41, -12, 62, 95]
</think>

<response>-93, -41, -12, 62, 95</response>


input: Implement bubble sort on 13, -53, -94, -68, -34, -51, -3 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [13, -53, -94, -68, -34, -51, -3]

Pass 1:
  Compare 13 and -53
  Swap 13 and -53
  List after swap: [-53, 13, -94, -68, -34, -51, -3]
  Compare 13 and -94
  Swap 13 and -94
  List after swap: [-53, -94, 13, -68, -34, -51, -3]
  Compare 13 and -68
  Swap 13 and -68
  List after swap: [-53, -94, -68, 13, -34, -51, -3]
  Compare 13 and -34
  Swap 13 and -34
  List after swap: [-53, -94, -68, -34, 13, -51, -3]
  Compare 13 and -51
  Swap 13 and -51
  List after swap: [-53, -94, -68, -34, -51, 13, -3]
  Compare 13 and -3
  Swap 13 and -3
  List after swap: [-53, -94, -68, -34, -51, -3, 13]

Pass 2:
  Compare -53 and -94
  Swap -53 and -94
  List after swap: [-94, -53, -68, -34, -51, -3, 13]
  Compare -53 and -68
  Swap -53 and -68
  List after swap: [-94, -68, -53, -34, -51, -3, 13]
  Compare -53 and -34
  No swap needed
  Compare -34 and -51
  Swap -34 and -51
  List after swap: [-94, -68, -53, -51, -34, -3, 13]
  Compare -34 and -3
  No swap needed

Pass 3:
  Compare -94 and -68
  No swap needed
  Compare -68 and -53
  No swap needed
  Compare -53 and -51
  No swap needed
  Compare -51 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -68, -53, -51, -34, -3, 13]
</think>

<response>-94, -68, -53, -51, -34, -3, 13</response>


input: Using the bubble sort method, sort -4, 2, -57, -85, -3, 84, -29, -38 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-4, 2, -57, -85, -3, 84, -29, -38]

Pass 1:
  Compare -4 and 2
  No swap needed
  Compare 2 and -57
  Swap 2 and -57
  List after swap: [-4, -57, 2, -85, -3, 84, -29, -38]
  Compare 2 and -85
  Swap 2 and -85
  List after swap: [-4, -57, -85, 2, -3, 84, -29, -38]
  Compare 2 and -3
  Swap 2 and -3
  List after swap: [-4, -57, -85, -3, 2, 84, -29, -38]
  Compare 2 and 84
  No swap needed
  Compare 84 and -29
  Swap 84 and -29
  List after swap: [-4, -57, -85, -3, 2, -29, 84, -38]
  Compare 84 and -38
  Swap 84 and -38
  List after swap: [-4, -57, -85, -3, 2, -29, -38, 84]

Pass 2:
  Compare -4 and -57
  Swap -4 and -57
  List after swap: [-57, -4, -85, -3, 2, -29, -38, 84]
  Compare -4 and -85
  Swap -4 and -85
  List after swap: [-57, -85, -4, -3, 2, -29, -38, 84]
  Compare -4 and -3
  No swap needed
  Compare -3 and 2
  No swap needed
  Compare 2 and -29
  Swap 2 and -29
  List after swap: [-57, -85, -4, -3, -29, 2, -38, 84]
  Compare 2 and -38
  Swap 2 and -38
  List after swap: [-57, -85, -4, -3, -29, -38, 2, 84]

Pass 3:
  Compare -57 and -85
  Swap -57 and -85
  List after swap: [-85, -57, -4, -3, -29, -38, 2, 84]
  Compare -57 and -4
  No swap needed
  Compare -4 and -3
  No swap needed
  Compare -3 and -29
  Swap -3 and -29
  List after swap: [-85, -57, -4, -29, -3, -38, 2, 84]
  Compare -3 and -38
  Swap -3 and -38
  List after swap: [-85, -57, -4, -29, -38, -3, 2, 84]

Pass 4:
  Compare -85 and -57
  No swap needed
  Compare -57 and -4
  No swap needed
  Compare -4 and -29
  Swap -4 and -29
  List after swap: [-85, -57, -29, -4, -38, -3, 2, 84]
  Compare -4 and -38
  Swap -4 and -38
  List after swap: [-85, -57, -29, -38, -4, -3, 2, 84]

Pass 5:
  Compare -85 and -57
  No swap needed
  Compare -57 and -29
  No swap needed
  Compare -29 and -38
  Swap -29 and -38
  List after swap: [-85, -57, -38, -29, -4, -3, 2, 84]

Pass 6:
  Compare -85 and -57
  No swap needed
  Compare -57 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -57, -38, -29, -4, -3, 2, 84]
</think>

<response>-85, -57, -38, -29, -4, -3, 2, 84</response>


input: Sort these integers -81, -20, 69, -56, -16, 78, -96, 85, -49, -74 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-81, -20, 69, -56, -16, 78, -96, 85, -49, -74]

Pass 1:
  Compare -81 and -20
  No swap needed
  Compare -20 and 69
  No swap needed
  Compare 69 and -56
  Swap 69 and -56
  List after swap: [-81, -20, -56, 69, -16, 78, -96, 85, -49, -74]
  Compare 69 and -16
  Swap 69 and -16
  List after swap: [-81, -20, -56, -16, 69, 78, -96, 85, -49, -74]
  Compare 69 and 78
  No swap needed
  Compare 78 and -96
  Swap 78 and -96
  List after swap: [-81, -20, -56, -16, 69, -96, 78, 85, -49, -74]
  Compare 78 and 85
  No swap needed
  Compare 85 and -49
  Swap 85 and -49
  List after swap: [-81, -20, -56, -16, 69, -96, 78, -49, 85, -74]
  Compare 85 and -74
  Swap 85 and -74
  List after swap: [-81, -20, -56, -16, 69, -96, 78, -49, -74, 85]

Pass 2:
  Compare -81 and -20
  No swap needed
  Compare -20 and -56
  Swap -20 and -56
  List after swap: [-81, -56, -20, -16, 69, -96, 78, -49, -74, 85]
  Compare -20 and -16
  No swap needed
  Compare -16 and 69
  No swap needed
  Compare 69 and -96
  Swap 69 and -96
  List after swap: [-81, -56, -20, -16, -96, 69, 78, -49, -74, 85]
  Compare 69 and 78
  No swap needed
  Compare 78 and -49
  Swap 78 and -49
  List after swap: [-81, -56, -20, -16, -96, 69, -49, 78, -74, 85]
  Compare 78 and -74
  Swap 78 and -74
  List after swap: [-81, -56, -20, -16, -96, 69, -49, -74, 78, 85]

Pass 3:
  Compare -81 and -56
  No swap needed
  Compare -56 and -20
  No swap needed
  Compare -20 and -16
  No swap needed
  Compare -16 and -96
  Swap -16 and -96
  List after swap: [-81, -56, -20, -96, -16, 69, -49, -74, 78, 85]
  Compare -16 and 69
  No swap needed
  Compare 69 and -49
  Swap 69 and -49
  List after swap: [-81, -56, -20, -96, -16, -49, 69, -74, 78, 85]
  Compare 69 and -74
  Swap 69 and -74
  List after swap: [-81, -56, -20, -96, -16, -49, -74, 69, 78, 85]

Pass 4:
  Compare -81 and -56
  No swap needed
  Compare -56 and -20
  No swap needed
  Compare -20 and -96
  Swap -20 and -96
  List after swap: [-81, -56, -96, -20, -16, -49, -74, 69, 78, 85]
  Compare -20 and -16
  No swap needed
  Compare -16 and -49
  Swap -16 and -49
  List after swap: [-81, -56, -96, -20, -49, -16, -74, 69, 78, 85]
  Compare -16 and -74
  Swap -16 and -74
  List after swap: [-81, -56, -96, -20, -49, -74, -16, 69, 78, 85]

Pass 5:
  Compare -81 and -56
  No swap needed
  Compare -56 and -96
  Swap -56 and -96
  List after swap: [-81, -96, -56, -20, -49, -74, -16, 69, 78, 85]
  Compare -56 and -20
  No swap needed
  Compare -20 and -49
  Swap -20 and -49
  List after swap: [-81, -96, -56, -49, -20, -74, -16, 69, 78, 85]
  Compare -20 and -74
  Swap -20 and -74
  List after swap: [-81, -96, -56, -49, -74, -20, -16, 69, 78, 85]

Pass 6:
  Compare -81 and -96
  Swap -81 and -96
  List after swap: [-96, -81, -56, -49, -74, -20, -16, 69, 78, 85]
  Compare -81 and -56
  No swap needed
  Compare -56 and -49
  No swap needed
  Compare -49 and -74
  Swap -49 and -74
  List after swap: [-96, -81, -56, -74, -49, -20, -16, 69, 78, 85]

Pass 7:
  Compare -96 and -81
  No swap needed
  Compare -81 and -56
  No swap needed
  Compare -56 and -74
  Swap -56 and -74
  List after swap: [-96, -81, -74, -56, -49, -20, -16, 69, 78, 85]

Pass 8:
  Compare -96 and -81
  No swap needed
  Compare -81 and -74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -81, -74, -56, -49, -20, -16, 69, 78, 85]
</think>

<response>-96, -81, -74, -56, -49, -20, -16, 69, 78, 85</response>


input: Sort the list 61, -75, -3, 13, 83, -17, 29, -12 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [61, -75, -3, 13, 83, -17, 29, -12]

Pass 1:
  Compare 61 and -75
  Swap 61 and -75
  List after swap: [-75, 61, -3, 13, 83, -17, 29, -12]
  Compare 61 and -3
  Swap 61 and -3
  List after swap: [-75, -3, 61, 13, 83, -17, 29, -12]
  Compare 61 and 13
  Swap 61 and 13
  List after swap: [-75, -3, 13, 61, 83, -17, 29, -12]
  Compare 61 and 83
  No swap needed
  Compare 83 and -17
  Swap 83 and -17
  List after swap: [-75, -3, 13, 61, -17, 83, 29, -12]
  Compare 83 and 29
  Swap 83 and 29
  List after swap: [-75, -3, 13, 61, -17, 29, 83, -12]
  Compare 83 and -12
  Swap 83 and -12
  List after swap: [-75, -3, 13, 61, -17, 29, -12, 83]

Pass 2:
  Compare -75 and -3
  No swap needed
  Compare -3 and 13
  No swap needed
  Compare 13 and 61
  No swap needed
  Compare 61 and -17
  Swap 61 and -17
  List after swap: [-75, -3, 13, -17, 61, 29, -12, 83]
  Compare 61 and 29
  Swap 61 and 29
  List after swap: [-75, -3, 13, -17, 29, 61, -12, 83]
  Compare 61 and -12
  Swap 61 and -12
  List after swap: [-75, -3, 13, -17, 29, -12, 61, 83]

Pass 3:
  Compare -75 and -3
  No swap needed
  Compare -3 and 13
  No swap needed
  Compare 13 and -17
  Swap 13 and -17
  List after swap: [-75, -3, -17, 13, 29, -12, 61, 83]
  Compare 13 and 29
  No swap needed
  Compare 29 and -12
  Swap 29 and -12
  List after swap: [-75, -3, -17, 13, -12, 29, 61, 83]

Pass 4:
  Compare -75 and -3
  No swap needed
  Compare -3 and -17
  Swap -3 and -17
  List after swap: [-75, -17, -3, 13, -12, 29, 61, 83]
  Compare -3 and 13
  No swap needed
  Compare 13 and -12
  Swap 13 and -12
  List after swap: [-75, -17, -3, -12, 13, 29, 61, 83]

Pass 5:
  Compare -75 and -17
  No swap needed
  Compare -17 and -3
  No swap needed
  Compare -3 and -12
  Swap -3 and -12
  List after swap: [-75, -17, -12, -3, 13, 29, 61, 83]

Pass 6:
  Compare -75 and -17
  No swap needed
  Compare -17 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -17, -12, -3, 13, 29, 61, 83]
</think>

<response>-75, -17, -12, -3, 13, 29, 61, 83</response>


input: Demonstrate how bubble sort orders the integers -24, -87, 73, -32, 5 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-24, -87, 73, -32, 5]

Pass 1:
  Compare -24 and -87
  Swap -24 and -87
  List after swap: [-87, -24, 73, -32, 5]
  Compare -24 and 73
  No swap needed
  Compare 73 and -32
  Swap 73 and -32
  List after swap: [-87, -24, -32, 73, 5]
  Compare 73 and 5
  Swap 73 and 5
  List after swap: [-87, -24, -32, 5, 73]

Pass 2:
  Compare -87 and -24
  No swap needed
  Compare -24 and -32
  Swap -24 and -32
  List after swap: [-87, -32, -24, 5, 73]
  Compare -24 and 5
  No swap needed

Pass 3:
  Compare -87 and -32
  No swap needed
  Compare -32 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -32, -24, 5, 73]
</think>

<response>-87, -32, -24, 5, 73</response>


input: Sort these integers 87, -44, -15, -20, -29, 62, -90, -25 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [87, -44, -15, -20, -29, 62, -90, -25]

Pass 1:
  Compare 87 and -44
  Swap 87 and -44
  List after swap: [-44, 87, -15, -20, -29, 62, -90, -25]
  Compare 87 and -15
  Swap 87 and -15
  List after swap: [-44, -15, 87, -20, -29, 62, -90, -25]
  Compare 87 and -20
  Swap 87 and -20
  List after swap: [-44, -15, -20, 87, -29, 62, -90, -25]
  Compare 87 and -29
  Swap 87 and -29
  List after swap: [-44, -15, -20, -29, 87, 62, -90, -25]
  Compare 87 and 62
  Swap 87 and 62
  List after swap: [-44, -15, -20, -29, 62, 87, -90, -25]
  Compare 87 and -90
  Swap 87 and -90
  List after swap: [-44, -15, -20, -29, 62, -90, 87, -25]
  Compare 87 and -25
  Swap 87 and -25
  List after swap: [-44, -15, -20, -29, 62, -90, -25, 87]

Pass 2:
  Compare -44 and -15
  No swap needed
  Compare -15 and -20
  Swap -15 and -20
  List after swap: [-44, -20, -15, -29, 62, -90, -25, 87]
  Compare -15 and -29
  Swap -15 and -29
  List after swap: [-44, -20, -29, -15, 62, -90, -25, 87]
  Compare -15 and 62
  No swap needed
  Compare 62 and -90
  Swap 62 and -90
  List after swap: [-44, -20, -29, -15, -90, 62, -25, 87]
  Compare 62 and -25
  Swap 62 and -25
  List after swap: [-44, -20, -29, -15, -90, -25, 62, 87]

Pass 3:
  Compare -44 and -20
  No swap needed
  Compare -20 and -29
  Swap -20 and -29
  List after swap: [-44, -29, -20, -15, -90, -25, 62, 87]
  Compare -20 and -15
  No swap needed
  Compare -15 and -90
  Swap -15 and -90
  List after swap: [-44, -29, -20, -90, -15, -25, 62, 87]
  Compare -15 and -25
  Swap -15 and -25
  List after swap: [-44, -29, -20, -90, -25, -15, 62, 87]

Pass 4:
  Compare -44 and -29
  No swap needed
  Compare -29 and -20
  No swap needed
  Compare -20 and -90
  Swap -20 and -90
  List after swap: [-44, -29, -90, -20, -25, -15, 62, 87]
  Compare -20 and -25
  Swap -20 and -25
  List after swap: [-44, -29, -90, -25, -20, -15, 62, 87]

Pass 5:
  Compare -44 and -29
  No swap needed
  Compare -29 and -90
  Swap -29 and -90
  List after swap: [-44, -90, -29, -25, -20, -15, 62, 87]
  Compare -29 and -25
  No swap needed

Pass 6:
  Compare -44 and -90
  Swap -44 and -90
  List after swap: [-90, -44, -29, -25, -20, -15, 62, 87]
  Compare -44 and -29
  No swap needed

Pass 7:
  Compare -90 and -44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -44, -29, -25, -20, -15, 62, 87]
</think>

<response>-90, -44, -29, -25, -20, -15, 62, 87</response>


input: Sort these integers 95, -5, 92, 76, 59 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [95, -5, 92, 76, 59]

Pass 1:
  Compare 95 and -5
  Swap 95 and -5
  List after swap: [-5, 95, 92, 76, 59]
  Compare 95 and 92
  Swap 95 and 92
  List after swap: [-5, 92, 95, 76, 59]
  Compare 95 and 76
  Swap 95 and 76
  List after swap: [-5, 92, 76, 95, 59]
  Compare 95 and 59
  Swap 95 and 59
  List after swap: [-5, 92, 76, 59, 95]

Pass 2:
  Compare -5 and 92
  No swap needed
  Compare 92 and 76
  Swap 92 and 76
  List after swap: [-5, 76, 92, 59, 95]
  Compare 92 and 59
  Swap 92 and 59
  List after swap: [-5, 76, 59, 92, 95]

Pass 3:
  Compare -5 and 76
  No swap needed
  Compare 76 and 59
  Swap 76 and 59
  List after swap: [-5, 59, 76, 92, 95]

Pass 4:
  Compare -5 and 59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-5, 59, 76, 92, 95]
</think>

<response>-5, 59, 76, 92, 95</response>


input: Implement bubble sort on -55, 29, 41 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-55, 29, 41]

Pass 1:
  Compare -55 and 29
  No swap needed
  Compare 29 and 41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, 29, 41]
</think>

<response>-55, 29, 41</response>


input: Use the bubble sort technique to reorder 77, 40, 56, 91, 96, -90, -27, 70, 38, 92 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [77, 40, 56, 91, 96, -90, -27, 70, 38, 92]

Pass 1:
  Compare 77 and 40
  Swap 77 and 40
  List after swap: [40, 77, 56, 91, 96, -90, -27, 70, 38, 92]
  Compare 77 and 56
  Swap 77 and 56
  List after swap: [40, 56, 77, 91, 96, -90, -27, 70, 38, 92]
  Compare 77 and 91
  No swap needed
  Compare 91 and 96
  No swap needed
  Compare 96 and -90
  Swap 96 and -90
  List after swap: [40, 56, 77, 91, -90, 96, -27, 70, 38, 92]
  Compare 96 and -27
  Swap 96 and -27
  List after swap: [40, 56, 77, 91, -90, -27, 96, 70, 38, 92]
  Compare 96 and 70
  Swap 96 and 70
  List after swap: [40, 56, 77, 91, -90, -27, 70, 96, 38, 92]
  Compare 96 and 38
  Swap 96 and 38
  List after swap: [40, 56, 77, 91, -90, -27, 70, 38, 96, 92]
  Compare 96 and 92
  Swap 96 and 92
  List after swap: [40, 56, 77, 91, -90, -27, 70, 38, 92, 96]

Pass 2:
  Compare 40 and 56
  No swap needed
  Compare 56 and 77
  No swap needed
  Compare 77 and 91
  No swap needed
  Compare 91 and -90
  Swap 91 and -90
  List after swap: [40, 56, 77, -90, 91, -27, 70, 38, 92, 96]
  Compare 91 and -27
  Swap 91 and -27
  List after swap: [40, 56, 77, -90, -27, 91, 70, 38, 92, 96]
  Compare 91 and 70
  Swap 91 and 70
  List after swap: [40, 56, 77, -90, -27, 70, 91, 38, 92, 96]
  Compare 91 and 38
  Swap 91 and 38
  List after swap: [40, 56, 77, -90, -27, 70, 38, 91, 92, 96]
  Compare 91 and 92
  No swap needed

Pass 3:
  Compare 40 and 56
  No swap needed
  Compare 56 and 77
  No swap needed
  Compare 77 and -90
  Swap 77 and -90
  List after swap: [40, 56, -90, 77, -27, 70, 38, 91, 92, 96]
  Compare 77 and -27
  Swap 77 and -27
  List after swap: [40, 56, -90, -27, 77, 70, 38, 91, 92, 96]
  Compare 77 and 70
  Swap 77 and 70
  List after swap: [40, 56, -90, -27, 70, 77, 38, 91, 92, 96]
  Compare 77 and 38
  Swap 77 and 38
  List after swap: [40, 56, -90, -27, 70, 38, 77, 91, 92, 96]
  Compare 77 and 91
  No swap needed

Pass 4:
  Compare 40 and 56
  No swap needed
  Compare 56 and -90
  Swap 56 and -90
  List after swap: [40, -90, 56, -27, 70, 38, 77, 91, 92, 96]
  Compare 56 and -27
  Swap 56 and -27
  List after swap: [40, -90, -27, 56, 70, 38, 77, 91, 92, 96]
  Compare 56 and 70
  No swap needed
  Compare 70 and 38
  Swap 70 and 38
  List after swap: [40, -90, -27, 56, 38, 70, 77, 91, 92, 96]
  Compare 70 and 77
  No swap needed

Pass 5:
  Compare 40 and -90
  Swap 40 and -90
  List after swap: [-90, 40, -27, 56, 38, 70, 77, 91, 92, 96]
  Compare 40 and -27
  Swap 40 and -27
  List after swap: [-90, -27, 40, 56, 38, 70, 77, 91, 92, 96]
  Compare 40 and 56
  No swap needed
  Compare 56 and 38
  Swap 56 and 38
  List after swap: [-90, -27, 40, 38, 56, 70, 77, 91, 92, 96]
  Compare 56 and 70
  No swap needed

Pass 6:
  Compare -90 and -27
  No swap needed
  Compare -27 and 40
  No swap needed
  Compare 40 and 38
  Swap 40 and 38
  List after swap: [-90, -27, 38, 40, 56, 70, 77, 91, 92, 96]
  Compare 40 and 56
  No swap needed

Pass 7:
  Compare -90 and -27
  No swap needed
  Compare -27 and 38
  No swap needed
  Compare 38 and 40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -27, 38, 40, 56, 70, 77, 91, 92, 96]
</think>

<response>-90, -27, 38, 40, 56, 70, 77, 91, 92, 96</response>


input: Sort the list -14, -71, -84, -28, 1, -100, 23 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-14, -71, -84, -28, 1, -100, 23]

Pass 1:
  Compare -14 and -71
  Swap -14 and -71
  List after swap: [-71, -14, -84, -28, 1, -100, 23]
  Compare -14 and -84
  Swap -14 and -84
  List after swap: [-71, -84, -14, -28, 1, -100, 23]
  Compare -14 and -28
  Swap -14 and -28
  List after swap: [-71, -84, -28, -14, 1, -100, 23]
  Compare -14 and 1
  No swap needed
  Compare 1 and -100
  Swap 1 and -100
  List after swap: [-71, -84, -28, -14, -100, 1, 23]
  Compare 1 and 23
  No swap needed

Pass 2:
  Compare -71 and -84
  Swap -71 and -84
  List after swap: [-84, -71, -28, -14, -100, 1, 23]
  Compare -71 and -28
  No swap needed
  Compare -28 and -14
  No swap needed
  Compare -14 and -100
  Swap -14 and -100
  List after swap: [-84, -71, -28, -100, -14, 1, 23]
  Compare -14 and 1
  No swap needed

Pass 3:
  Compare -84 and -71
  No swap needed
  Compare -71 and -28
  No swap needed
  Compare -28 and -100
  Swap -28 and -100
  List after swap: [-84, -71, -100, -28, -14, 1, 23]
  Compare -28 and -14
  No swap needed

Pass 4:
  Compare -84 and -71
  No swap needed
  Compare -71 and -100
  Swap -71 and -100
  List after swap: [-84, -100, -71, -28, -14, 1, 23]
  Compare -71 and -28
  No swap needed

Pass 5:
  Compare -84 and -100
  Swap -84 and -100
  List after swap: [-100, -84, -71, -28, -14, 1, 23]
  Compare -84 and -71
  No swap needed

Pass 6:
  Compare -100 and -84
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -84, -71, -28, -14, 1, 23]
</think>

<response>-100, -84, -71, -28, -14, 1, 23</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 4, 99, -2, -69, 25, 78, 67, -96, -90.

output:
<think>
Initial list: [4, 99, -2, -69, 25, 78, 67, -96, -90]

Pass 1:
  Compare 4 and 99
  No swap needed
  Compare 99 and -2
  Swap 99 and -2
  List after swap: [4, -2, 99, -69, 25, 78, 67, -96, -90]
  Compare 99 and -69
  Swap 99 and -69
  List after swap: [4, -2, -69, 99, 25, 78, 67, -96, -90]
  Compare 99 and 25
  Swap 99 and 25
  List after swap: [4, -2, -69, 25, 99, 78, 67, -96, -90]
  Compare 99 and 78
  Swap 99 and 78
  List after swap: [4, -2, -69, 25, 78, 99, 67, -96, -90]
  Compare 99 and 67
  Swap 99 and 67
  List after swap: [4, -2, -69, 25, 78, 67, 99, -96, -90]
  Compare 99 and -96
  Swap 99 and -96
  List after swap: [4, -2, -69, 25, 78, 67, -96, 99, -90]
  Compare 99 and -90
  Swap 99 and -90
  List after swap: [4, -2, -69, 25, 78, 67, -96, -90, 99]

Pass 2:
  Compare 4 and -2
  Swap 4 and -2
  List after swap: [-2, 4, -69, 25, 78, 67, -96, -90, 99]
  Compare 4 and -69
  Swap 4 and -69
  List after swap: [-2, -69, 4, 25, 78, 67, -96, -90, 99]
  Compare 4 and 25
  No swap needed
  Compare 25 and 78
  No swap needed
  Compare 78 and 67
  Swap 78 and 67
  List after swap: [-2, -69, 4, 25, 67, 78, -96, -90, 99]
  Compare 78 and -96
  Swap 78 and -96
  List after swap: [-2, -69, 4, 25, 67, -96, 78, -90, 99]
  Compare 78 and -90
  Swap 78 and -90
  List after swap: [-2, -69, 4, 25, 67, -96, -90, 78, 99]

Pass 3:
  Compare -2 and -69
  Swap -2 and -69
  List after swap: [-69, -2, 4, 25, 67, -96, -90, 78, 99]
  Compare -2 and 4
  No swap needed
  Compare 4 and 25
  No swap needed
  Compare 25 and 67
  No swap needed
  Compare 67 and -96
  Swap 67 and -96
  List after swap: [-69, -2, 4, 25, -96, 67, -90, 78, 99]
  Compare 67 and -90
  Swap 67 and -90
  List after swap: [-69, -2, 4, 25, -96, -90, 67, 78, 99]

Pass 4:
  Compare -69 and -2
  No swap needed
  Compare -2 and 4
  No swap needed
  Compare 4 and 25
  No swap needed
  Compare 25 and -96
  Swap 25 and -96
  List after swap: [-69, -2, 4, -96, 25, -90, 67, 78, 99]
  Compare 25 and -90
  Swap 25 and -90
  List after swap: [-69, -2, 4, -96, -90, 25, 67, 78, 99]

Pass 5:
  Compare -69 and -2
  No swap needed
  Compare -2 and 4
  No swap needed
  Compare 4 and -96
  Swap 4 and -96
  List after swap: [-69, -2, -96, 4, -90, 25, 67, 78, 99]
  Compare 4 and -90
  Swap 4 and -90
  List after swap: [-69, -2, -96, -90, 4, 25, 67, 78, 99]

Pass 6:
  Compare -69 and -2
  No swap needed
  Compare -2 and -96
  Swap -2 and -96
  List after swap: [-69, -96, -2, -90, 4, 25, 67, 78, 99]
  Compare -2 and -90
  Swap -2 and -90
  List after swap: [-69, -96, -90, -2, 4, 25, 67, 78, 99]

Pass 7:
  Compare -69 and -96
  Swap -69 and -96
  List after swap: [-96, -69, -90, -2, 4, 25, 67, 78, 99]
  Compare -69 and -90
  Swap -69 and -90
  List after swap: [-96, -90, -69, -2, 4, 25, 67, 78, 99]

Pass 8:
  Compare -96 and -90
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -90, -69, -2, 4, 25, 67, 78, 99]
</think>

<response>-96, -90, -69, -2, 4, 25, 67, 78, 99</response>


input: Using the bubble sort method, sort -2, -79, 27, 24, -27, -84, 45 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-2, -79, 27, 24, -27, -84, 45]

Pass 1:
  Compare -2 and -79
  Swap -2 and -79
  List after swap: [-79, -2, 27, 24, -27, -84, 45]
  Compare -2 and 27
  No swap needed
  Compare 27 and 24
  Swap 27 and 24
  List after swap: [-79, -2, 24, 27, -27, -84, 45]
  Compare 27 and -27
  Swap 27 and -27
  List after swap: [-79, -2, 24, -27, 27, -84, 45]
  Compare 27 and -84
  Swap 27 and -84
  List after swap: [-79, -2, 24, -27, -84, 27, 45]
  Compare 27 and 45
  No swap needed

Pass 2:
  Compare -79 and -2
  No swap needed
  Compare -2 and 24
  No swap needed
  Compare 24 and -27
  Swap 24 and -27
  List after swap: [-79, -2, -27, 24, -84, 27, 45]
  Compare 24 and -84
  Swap 24 and -84
  List after swap: [-79, -2, -27, -84, 24, 27, 45]
  Compare 24 and 27
  No swap needed

Pass 3:
  Compare -79 and -2
  No swap needed
  Compare -2 and -27
  Swap -2 and -27
  List after swap: [-79, -27, -2, -84, 24, 27, 45]
  Compare -2 and -84
  Swap -2 and -84
  List after swap: [-79, -27, -84, -2, 24, 27, 45]
  Compare -2 and 24
  No swap needed

Pass 4:
  Compare -79 and -27
  No swap needed
  Compare -27 and -84
  Swap -27 and -84
  List after swap: [-79, -84, -27, -2, 24, 27, 45]
  Compare -27 and -2
  No swap needed

Pass 5:
  Compare -79 and -84
  Swap -79 and -84
  List after swap: [-84, -79, -27, -2, 24, 27, 45]
  Compare -79 and -27
  No swap needed

Pass 6:
  Compare -84 and -79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -79, -27, -2, 24, 27, 45]
</think>

<response>-84, -79, -27, -2, 24, 27, 45</response>


input: Use the bubble sort technique to reorder -83, 58, -44, -80, -49, -97, 3 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-83, 58, -44, -80, -49, -97, 3]

Pass 1:
  Compare -83 and 58
  No swap needed
  Compare 58 and -44
  Swap 58 and -44
  List after swap: [-83, -44, 58, -80, -49, -97, 3]
  Compare 58 and -80
  Swap 58 and -80
  List after swap: [-83, -44, -80, 58, -49, -97, 3]
  Compare 58 and -49
  Swap 58 and -49
  List after swap: [-83, -44, -80, -49, 58, -97, 3]
  Compare 58 and -97
  Swap 58 and -97
  List after swap: [-83, -44, -80, -49, -97, 58, 3]
  Compare 58 and 3
  Swap 58 and 3
  List after swap: [-83, -44, -80, -49, -97, 3, 58]

Pass 2:
  Compare -83 and -44
  No swap needed
  Compare -44 and -80
  Swap -44 and -80
  List after swap: [-83, -80, -44, -49, -97, 3, 58]
  Compare -44 and -49
  Swap -44 and -49
  List after swap: [-83, -80, -49, -44, -97, 3, 58]
  Compare -44 and -97
  Swap -44 and -97
  List after swap: [-83, -80, -49, -97, -44, 3, 58]
  Compare -44 and 3
  No swap needed

Pass 3:
  Compare -83 and -80
  No swap needed
  Compare -80 and -49
  No swap needed
  Compare -49 and -97
  Swap -49 and -97
  List after swap: [-83, -80, -97, -49, -44, 3, 58]
  Compare -49 and -44
  No swap needed

Pass 4:
  Compare -83 and -80
  No swap needed
  Compare -80 and -97
  Swap -80 and -97
  List after swap: [-83, -97, -80, -49, -44, 3, 58]
  Compare -80 and -49
  No swap needed

Pass 5:
  Compare -83 and -97
  Swap -83 and -97
  List after swap: [-97, -83, -80, -49, -44, 3, 58]
  Compare -83 and -80
  No swap needed

Pass 6:
  Compare -97 and -83
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -83, -80, -49, -44, 3, 58]
</think>

<response>-97, -83, -80, -49, -44, 3, 58</response>


input: Sort the list 36, 0, -80, 38, 23, -27, 42, 79 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [36, 0, -80, 38, 23, -27, 42, 79]

Pass 1:
  Compare 36 and 0
  Swap 36 and 0
  List after swap: [0, 36, -80, 38, 23, -27, 42, 79]
  Compare 36 and -80
  Swap 36 and -80
  List after swap: [0, -80, 36, 38, 23, -27, 42, 79]
  Compare 36 and 38
  No swap needed
  Compare 38 and 23
  Swap 38 and 23
  List after swap: [0, -80, 36, 23, 38, -27, 42, 79]
  Compare 38 and -27
  Swap 38 and -27
  List after swap: [0, -80, 36, 23, -27, 38, 42, 79]
  Compare 38 and 42
  No swap needed
  Compare 42 and 79
  No swap needed

Pass 2:
  Compare 0 and -80
  Swap 0 and -80
  List after swap: [-80, 0, 36, 23, -27, 38, 42, 79]
  Compare 0 and 36
  No swap needed
  Compare 36 and 23
  Swap 36 and 23
  List after swap: [-80, 0, 23, 36, -27, 38, 42, 79]
  Compare 36 and -27
  Swap 36 and -27
  List after swap: [-80, 0, 23, -27, 36, 38, 42, 79]
  Compare 36 and 38
  No swap needed
  Compare 38 and 42
  No swap needed

Pass 3:
  Compare -80 and 0
  No swap needed
  Compare 0 and 23
  No swap needed
  Compare 23 and -27
  Swap 23 and -27
  List after swap: [-80, 0, -27, 23, 36, 38, 42, 79]
  Compare 23 and 36
  No swap needed
  Compare 36 and 38
  No swap needed

Pass 4:
  Compare -80 and 0
  No swap needed
  Compare 0 and -27
  Swap 0 and -27
  List after swap: [-80, -27, 0, 23, 36, 38, 42, 79]
  Compare 0 and 23
  No swap needed
  Compare 23 and 36
  No swap needed

Pass 5:
  Compare -80 and -27
  No swap needed
  Compare -27 and 0
  No swap needed
  Compare 0 and 23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -27, 0, 23, 36, 38, 42, 79]
</think>

<response>-80, -27, 0, 23, 36, 38, 42, 79</response>


input: Execute bubble sort to sort 36, -79, -50 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [36, -79, -50]

Pass 1:
  Compare 36 and -79
  Swap 36 and -79
  List after swap: [-79, 36, -50]
  Compare 36 and -50
  Swap 36 and -50
  List after swap: [-79, -50, 36]

Pass 2:
  Compare -79 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -50, 36]
</think>

<response>-79, -50, 36</response>


input: Demonstrate how bubble sort orders the integers -92, -73, -26, -12, 39, 75, 5, -36, 17 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-92, -73, -26, -12, 39, 75, 5, -36, 17]

Pass 1:
  Compare -92 and -73
  No swap needed
  Compare -73 and -26
  No swap needed
  Compare -26 and -12
  No swap needed
  Compare -12 and 39
  No swap needed
  Compare 39 and 75
  No swap needed
  Compare 75 and 5
  Swap 75 and 5
  List after swap: [-92, -73, -26, -12, 39, 5, 75, -36, 17]
  Compare 75 and -36
  Swap 75 and -36
  List after swap: [-92, -73, -26, -12, 39, 5, -36, 75, 17]
  Compare 75 and 17
  Swap 75 and 17
  List after swap: [-92, -73, -26, -12, 39, 5, -36, 17, 75]

Pass 2:
  Compare -92 and -73
  No swap needed
  Compare -73 and -26
  No swap needed
  Compare -26 and -12
  No swap needed
  Compare -12 and 39
  No swap needed
  Compare 39 and 5
  Swap 39 and 5
  List after swap: [-92, -73, -26, -12, 5, 39, -36, 17, 75]
  Compare 39 and -36
  Swap 39 and -36
  List after swap: [-92, -73, -26, -12, 5, -36, 39, 17, 75]
  Compare 39 and 17
  Swap 39 and 17
  List after swap: [-92, -73, -26, -12, 5, -36, 17, 39, 75]

Pass 3:
  Compare -92 and -73
  No swap needed
  Compare -73 and -26
  No swap needed
  Compare -26 and -12
  No swap needed
  Compare -12 and 5
  No swap needed
  Compare 5 and -36
  Swap 5 and -36
  List after swap: [-92, -73, -26, -12, -36, 5, 17, 39, 75]
  Compare 5 and 17
  No swap needed

Pass 4:
  Compare -92 and -73
  No swap needed
  Compare -73 and -26
  No swap needed
  Compare -26 and -12
  No swap needed
  Compare -12 and -36
  Swap -12 and -36
  List after swap: [-92, -73, -26, -36, -12, 5, 17, 39, 75]
  Compare -12 and 5
  No swap needed

Pass 5:
  Compare -92 and -73
  No swap needed
  Compare -73 and -26
  No swap needed
  Compare -26 and -36
  Swap -26 and -36
  List after swap: [-92, -73, -36, -26, -12, 5, 17, 39, 75]
  Compare -26 and -12
  No swap needed

Pass 6:
  Compare -92 and -73
  No swap needed
  Compare -73 and -36
  No swap needed
  Compare -36 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -73, -36, -26, -12, 5, 17, 39, 75]
</think>

<response>-92, -73, -36, -26, -12, 5, 17, 39, 75</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -44, 0, -94, 53, 56, -11.

output:
<think>
Initial list: [-44, 0, -94, 53, 56, -11]

Pass 1:
  Compare -44 and 0
  No swap needed
  Compare 0 and -94
  Swap 0 and -94
  List after swap: [-44, -94, 0, 53, 56, -11]
  Compare 0 and 53
  No swap needed
  Compare 53 and 56
  No swap needed
  Compare 56 and -11
  Swap 56 and -11
  List after swap: [-44, -94, 0, 53, -11, 56]

Pass 2:
  Compare -44 and -94
  Swap -44 and -94
  List after swap: [-94, -44, 0, 53, -11, 56]
  Compare -44 and 0
  No swap needed
  Compare 0 and 53
  No swap needed
  Compare 53 and -11
  Swap 53 and -11
  List after swap: [-94, -44, 0, -11, 53, 56]

Pass 3:
  Compare -94 and -44
  No swap needed
  Compare -44 and 0
  No swap needed
  Compare 0 and -11
  Swap 0 and -11
  List after swap: [-94, -44, -11, 0, 53, 56]

Pass 4:
  Compare -94 and -44
  No swap needed
  Compare -44 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -44, -11, 0, 53, 56]
</think>

<response>-94, -44, -11, 0, 53, 56</response>


input: Using the bubble sort method, sort -74, 7, 73, -65 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-74, 7, 73, -65]

Pass 1:
  Compare -74 and 7
  No swap needed
  Compare 7 and 73
  No swap needed
  Compare 73 and -65
  Swap 73 and -65
  List after swap: [-74, 7, -65, 73]

Pass 2:
  Compare -74 and 7
  No swap needed
  Compare 7 and -65
  Swap 7 and -65
  List after swap: [-74, -65, 7, 73]

Pass 3:
  Compare -74 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -65, 7, 73]
</think>

<response>-74, -65, 7, 73</response>


input: Carry out the bubble sort algorithm on 5, -35, -92, -38 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [5, -35, -92, -38]

Pass 1:
  Compare 5 and -35
  Swap 5 and -35
  List after swap: [-35, 5, -92, -38]
  Compare 5 and -92
  Swap 5 and -92
  List after swap: [-35, -92, 5, -38]
  Compare 5 and -38
  Swap 5 and -38
  List after swap: [-35, -92, -38, 5]

Pass 2:
  Compare -35 and -92
  Swap -35 and -92
  List after swap: [-92, -35, -38, 5]
  Compare -35 and -38
  Swap -35 and -38
  List after swap: [-92, -38, -35, 5]

Pass 3:
  Compare -92 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -38, -35, 5]
</think>

<response>-92, -38, -35, 5</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -66, 92, 2, -6, 10.

output:
<think>
Initial list: [-66, 92, 2, -6, 10]

Pass 1:
  Compare -66 and 92
  No swap needed
  Compare 92 and 2
  Swap 92 and 2
  List after swap: [-66, 2, 92, -6, 10]
  Compare 92 and -6
  Swap 92 and -6
  List after swap: [-66, 2, -6, 92, 10]
  Compare 92 and 10
  Swap 92 and 10
  List after swap: [-66, 2, -6, 10, 92]

Pass 2:
  Compare -66 and 2
  No swap needed
  Compare 2 and -6
  Swap 2 and -6
  List after swap: [-66, -6, 2, 10, 92]
  Compare 2 and 10
  No swap needed

Pass 3:
  Compare -66 and -6
  No swap needed
  Compare -6 and 2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -6, 2, 10, 92]
</think>

<response>-66, -6, 2, 10, 92</response>


input: Implement bubble sort on 67, 77 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [67, 77]

Pass 1:
  Compare 67 and 77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [67, 77]
</think>

<response>67, 77</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 57, 47, -14, -31, -69, -22, -57, 52, 50, -67.

output:
<think>
Initial list: [57, 47, -14, -31, -69, -22, -57, 52, 50, -67]

Pass 1:
  Compare 57 and 47
  Swap 57 and 47
  List after swap: [47, 57, -14, -31, -69, -22, -57, 52, 50, -67]
  Compare 57 and -14
  Swap 57 and -14
  List after swap: [47, -14, 57, -31, -69, -22, -57, 52, 50, -67]
  Compare 57 and -31
  Swap 57 and -31
  List after swap: [47, -14, -31, 57, -69, -22, -57, 52, 50, -67]
  Compare 57 and -69
  Swap 57 and -69
  List after swap: [47, -14, -31, -69, 57, -22, -57, 52, 50, -67]
  Compare 57 and -22
  Swap 57 and -22
  List after swap: [47, -14, -31, -69, -22, 57, -57, 52, 50, -67]
  Compare 57 and -57
  Swap 57 and -57
  List after swap: [47, -14, -31, -69, -22, -57, 57, 52, 50, -67]
  Compare 57 and 52
  Swap 57 and 52
  List after swap: [47, -14, -31, -69, -22, -57, 52, 57, 50, -67]
  Compare 57 and 50
  Swap 57 and 50
  List after swap: [47, -14, -31, -69, -22, -57, 52, 50, 57, -67]
  Compare 57 and -67
  Swap 57 and -67
  List after swap: [47, -14, -31, -69, -22, -57, 52, 50, -67, 57]

Pass 2:
  Compare 47 and -14
  Swap 47 and -14
  List after swap: [-14, 47, -31, -69, -22, -57, 52, 50, -67, 57]
  Compare 47 and -31
  Swap 47 and -31
  List after swap: [-14, -31, 47, -69, -22, -57, 52, 50, -67, 57]
  Compare 47 and -69
  Swap 47 and -69
  List after swap: [-14, -31, -69, 47, -22, -57, 52, 50, -67, 57]
  Compare 47 and -22
  Swap 47 and -22
  List after swap: [-14, -31, -69, -22, 47, -57, 52, 50, -67, 57]
  Compare 47 and -57
  Swap 47 and -57
  List after swap: [-14, -31, -69, -22, -57, 47, 52, 50, -67, 57]
  Compare 47 and 52
  No swap needed
  Compare 52 and 50
  Swap 52 and 50
  List after swap: [-14, -31, -69, -22, -57, 47, 50, 52, -67, 57]
  Compare 52 and -67
  Swap 52 and -67
  List after swap: [-14, -31, -69, -22, -57, 47, 50, -67, 52, 57]

Pass 3:
  Compare -14 and -31
  Swap -14 and -31
  List after swap: [-31, -14, -69, -22, -57, 47, 50, -67, 52, 57]
  Compare -14 and -69
  Swap -14 and -69
  List after swap: [-31, -69, -14, -22, -57, 47, 50, -67, 52, 57]
  Compare -14 and -22
  Swap -14 and -22
  List after swap: [-31, -69, -22, -14, -57, 47, 50, -67, 52, 57]
  Compare -14 and -57
  Swap -14 and -57
  List after swap: [-31, -69, -22, -57, -14, 47, 50, -67, 52, 57]
  Compare -14 and 47
  No swap needed
  Compare 47 and 50
  No swap needed
  Compare 50 and -67
  Swap 50 and -67
  List after swap: [-31, -69, -22, -57, -14, 47, -67, 50, 52, 57]

Pass 4:
  Compare -31 and -69
  Swap -31 and -69
  List after swap: [-69, -31, -22, -57, -14, 47, -67, 50, 52, 57]
  Compare -31 and -22
  No swap needed
  Compare -22 and -57
  Swap -22 and -57
  List after swap: [-69, -31, -57, -22, -14, 47, -67, 50, 52, 57]
  Compare -22 and -14
  No swap needed
  Compare -14 and 47
  No swap needed
  Compare 47 and -67
  Swap 47 and -67
  List after swap: [-69, -31, -57, -22, -14, -67, 47, 50, 52, 57]

Pass 5:
  Compare -69 and -31
  No swap needed
  Compare -31 and -57
  Swap -31 and -57
  List after swap: [-69, -57, -31, -22, -14, -67, 47, 50, 52, 57]
  Compare -31 and -22
  No swap needed
  Compare -22 and -14
  No swap needed
  Compare -14 and -67
  Swap -14 and -67
  List after swap: [-69, -57, -31, -22, -67, -14, 47, 50, 52, 57]

Pass 6:
  Compare -69 and -57
  No swap needed
  Compare -57 and -31
  No swap needed
  Compare -31 and -22
  No swap needed
  Compare -22 and -67
  Swap -22 and -67
  List after swap: [-69, -57, -31, -67, -22, -14, 47, 50, 52, 57]

Pass 7:
  Compare -69 and -57
  No swap needed
  Compare -57 and -31
  No swap needed
  Compare -31 and -67
  Swap -31 and -67
  List after swap: [-69, -57, -67, -31, -22, -14, 47, 50, 52, 57]

Pass 8:
  Compare -69 and -57
  No swap needed
  Compare -57 and -67
  Swap -57 and -67
  List after swap: [-69, -67, -57, -31, -22, -14, 47, 50, 52, 57]

Pass 9:
  Compare -69 and -67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -67, -57, -31, -22, -14, 47, 50, 52, 57]
</think>

<response>-69, -67, -57, -31, -22, -14, 47, 50, 52, 57</response>


input: Implement bubble sort on -47, -9, 20, 87, 18, -83, -58 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-47, -9, 20, 87, 18, -83, -58]

Pass 1:
  Compare -47 and -9
  No swap needed
  Compare -9 and 20
  No swap needed
  Compare 20 and 87
  No swap needed
  Compare 87 and 18
  Swap 87 and 18
  List after swap: [-47, -9, 20, 18, 87, -83, -58]
  Compare 87 and -83
  Swap 87 and -83
  List after swap: [-47, -9, 20, 18, -83, 87, -58]
  Compare 87 and -58
  Swap 87 and -58
  List after swap: [-47, -9, 20, 18, -83, -58, 87]

Pass 2:
  Compare -47 and -9
  No swap needed
  Compare -9 and 20
  No swap needed
  Compare 20 and 18
  Swap 20 and 18
  List after swap: [-47, -9, 18, 20, -83, -58, 87]
  Compare 20 and -83
  Swap 20 and -83
  List after swap: [-47, -9, 18, -83, 20, -58, 87]
  Compare 20 and -58
  Swap 20 and -58
  List after swap: [-47, -9, 18, -83, -58, 20, 87]

Pass 3:
  Compare -47 and -9
  No swap needed
  Compare -9 and 18
  No swap needed
  Compare 18 and -83
  Swap 18 and -83
  List after swap: [-47, -9, -83, 18, -58, 20, 87]
  Compare 18 and -58
  Swap 18 and -58
  List after swap: [-47, -9, -83, -58, 18, 20, 87]

Pass 4:
  Compare -47 and -9
  No swap needed
  Compare -9 and -83
  Swap -9 and -83
  List after swap: [-47, -83, -9, -58, 18, 20, 87]
  Compare -9 and -58
  Swap -9 and -58
  List after swap: [-47, -83, -58, -9, 18, 20, 87]

Pass 5:
  Compare -47 and -83
  Swap -47 and -83
  List after swap: [-83, -47, -58, -9, 18, 20, 87]
  Compare -47 and -58
  Swap -47 and -58
  List after swap: [-83, -58, -47, -9, 18, 20, 87]

Pass 6:
  Compare -83 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -58, -47, -9, 18, 20, 87]
</think>

<response>-83, -58, -47, -9, 18, 20, 87</response>


input: Perform a bubble sort on the integers 52, 27, -17, 62, -69, -72, -57, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [52, 27, -17, 62, -69, -72, -57]

Pass 1:
  Compare 52 and 27
  Swap 52 and 27
  List after swap: [27, 52, -17, 62, -69, -72, -57]
  Compare 52 and -17
  Swap 52 and -17
  List after swap: [27, -17, 52, 62, -69, -72, -57]
  Compare 52 and 62
  No swap needed
  Compare 62 and -69
  Swap 62 and -69
  List after swap: [27, -17, 52, -69, 62, -72, -57]
  Compare 62 and -72
  Swap 62 and -72
  List after swap: [27, -17, 52, -69, -72, 62, -57]
  Compare 62 and -57
  Swap 62 and -57
  List after swap: [27, -17, 52, -69, -72, -57, 62]

Pass 2:
  Compare 27 and -17
  Swap 27 and -17
  List after swap: [-17, 27, 52, -69, -72, -57, 62]
  Compare 27 and 52
  No swap needed
  Compare 52 and -69
  Swap 52 and -69
  List after swap: [-17, 27, -69, 52, -72, -57, 62]
  Compare 52 and -72
  Swap 52 and -72
  List after swap: [-17, 27, -69, -72, 52, -57, 62]
  Compare 52 and -57
  Swap 52 and -57
  List after swap: [-17, 27, -69, -72, -57, 52, 62]

Pass 3:
  Compare -17 and 27
  No swap needed
  Compare 27 and -69
  Swap 27 and -69
  List after swap: [-17, -69, 27, -72, -57, 52, 62]
  Compare 27 and -72
  Swap 27 and -72
  List after swap: [-17, -69, -72, 27, -57, 52, 62]
  Compare 27 and -57
  Swap 27 and -57
  List after swap: [-17, -69, -72, -57, 27, 52, 62]

Pass 4:
  Compare -17 and -69
  Swap -17 and -69
  List after swap: [-69, -17, -72, -57, 27, 52, 62]
  Compare -17 and -72
  Swap -17 and -72
  List after swap: [-69, -72, -17, -57, 27, 52, 62]
  Compare -17 and -57
  Swap -17 and -57
  List after swap: [-69, -72, -57, -17, 27, 52, 62]

Pass 5:
  Compare -69 and -72
  Swap -69 and -72
  List after swap: [-72, -69, -57, -17, 27, 52, 62]
  Compare -69 and -57
  No swap needed

Pass 6:
  Compare -72 and -69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -69, -57, -17, 27, 52, 62]
</think>

<response>-72, -69, -57, -17, 27, 52, 62</response>


input: Use the bubble sort technique to reorder 54, -30, -91, -43, -11 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [54, -30, -91, -43, -11]

Pass 1:
  Compare 54 and -30
  Swap 54 and -30
  List after swap: [-30, 54, -91, -43, -11]
  Compare 54 and -91
  Swap 54 and -91
  List after swap: [-30, -91, 54, -43, -11]
  Compare 54 and -43
  Swap 54 and -43
  List after swap: [-30, -91, -43, 54, -11]
  Compare 54 and -11
  Swap 54 and -11
  List after swap: [-30, -91, -43, -11, 54]

Pass 2:
  Compare -30 and -91
  Swap -30 and -91
  List after swap: [-91, -30, -43, -11, 54]
  Compare -30 and -43
  Swap -30 and -43
  List after swap: [-91, -43, -30, -11, 54]
  Compare -30 and -11
  No swap needed

Pass 3:
  Compare -91 and -43
  No swap needed
  Compare -43 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -43, -30, -11, 54]
</think>

<response>-91, -43, -30, -11, 54</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -44, 31, -82, 82, 60, -38, 72, -51.

output:
<think>
Initial list: [-44, 31, -82, 82, 60, -38, 72, -51]

Pass 1:
  Compare -44 and 31
  No swap needed
  Compare 31 and -82
  Swap 31 and -82
  List after swap: [-44, -82, 31, 82, 60, -38, 72, -51]
  Compare 31 and 82
  No swap needed
  Compare 82 and 60
  Swap 82 and 60
  List after swap: [-44, -82, 31, 60, 82, -38, 72, -51]
  Compare 82 and -38
  Swap 82 and -38
  List after swap: [-44, -82, 31, 60, -38, 82, 72, -51]
  Compare 82 and 72
  Swap 82 and 72
  List after swap: [-44, -82, 31, 60, -38, 72, 82, -51]
  Compare 82 and -51
  Swap 82 and -51
  List after swap: [-44, -82, 31, 60, -38, 72, -51, 82]

Pass 2:
  Compare -44 and -82
  Swap -44 and -82
  List after swap: [-82, -44, 31, 60, -38, 72, -51, 82]
  Compare -44 and 31
  No swap needed
  Compare 31 and 60
  No swap needed
  Compare 60 and -38
  Swap 60 and -38
  List after swap: [-82, -44, 31, -38, 60, 72, -51, 82]
  Compare 60 and 72
  No swap needed
  Compare 72 and -51
  Swap 72 and -51
  List after swap: [-82, -44, 31, -38, 60, -51, 72, 82]

Pass 3:
  Compare -82 and -44
  No swap needed
  Compare -44 and 31
  No swap needed
  Compare 31 and -38
  Swap 31 and -38
  List after swap: [-82, -44, -38, 31, 60, -51, 72, 82]
  Compare 31 and 60
  No swap needed
  Compare 60 and -51
  Swap 60 and -51
  List after swap: [-82, -44, -38, 31, -51, 60, 72, 82]

Pass 4:
  Compare -82 and -44
  No swap needed
  Compare -44 and -38
  No swap needed
  Compare -38 and 31
  No swap needed
  Compare 31 and -51
  Swap 31 and -51
  List after swap: [-82, -44, -38, -51, 31, 60, 72, 82]

Pass 5:
  Compare -82 and -44
  No swap needed
  Compare -44 and -38
  No swap needed
  Compare -38 and -51
  Swap -38 and -51
  List after swap: [-82, -44, -51, -38, 31, 60, 72, 82]

Pass 6:
  Compare -82 and -44
  No swap needed
  Compare -44 and -51
  Swap -44 and -51
  List after swap: [-82, -51, -44, -38, 31, 60, 72, 82]

Pass 7:
  Compare -82 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -51, -44, -38, 31, 60, 72, 82]
</think>

<response>-82, -51, -44, -38, 31, 60, 72, 82</response>


input: Carry out the bubble sort algorithm on -51, -98, -88, -100, 76, -56, -45, 61 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-51, -98, -88, -100, 76, -56, -45, 61]

Pass 1:
  Compare -51 and -98
  Swap -51 and -98
  List after swap: [-98, -51, -88, -100, 76, -56, -45, 61]
  Compare -51 and -88
  Swap -51 and -88
  List after swap: [-98, -88, -51, -100, 76, -56, -45, 61]
  Compare -51 and -100
  Swap -51 and -100
  List after swap: [-98, -88, -100, -51, 76, -56, -45, 61]
  Compare -51 and 76
  No swap needed
  Compare 76 and -56
  Swap 76 and -56
  List after swap: [-98, -88, -100, -51, -56, 76, -45, 61]
  Compare 76 and -45
  Swap 76 and -45
  List after swap: [-98, -88, -100, -51, -56, -45, 76, 61]
  Compare 76 and 61
  Swap 76 and 61
  List after swap: [-98, -88, -100, -51, -56, -45, 61, 76]

Pass 2:
  Compare -98 and -88
  No swap needed
  Compare -88 and -100
  Swap -88 and -100
  List after swap: [-98, -100, -88, -51, -56, -45, 61, 76]
  Compare -88 and -51
  No swap needed
  Compare -51 and -56
  Swap -51 and -56
  List after swap: [-98, -100, -88, -56, -51, -45, 61, 76]
  Compare -51 and -45
  No swap needed
  Compare -45 and 61
  No swap needed

Pass 3:
  Compare -98 and -100
  Swap -98 and -100
  List after swap: [-100, -98, -88, -56, -51, -45, 61, 76]
  Compare -98 and -88
  No swap needed
  Compare -88 and -56
  No swap needed
  Compare -56 and -51
  No swap needed
  Compare -51 and -45
  No swap needed

Pass 4:
  Compare -100 and -98
  No swap needed
  Compare -98 and -88
  No swap needed
  Compare -88 and -56
  No swap needed
  Compare -56 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -98, -88, -56, -51, -45, 61, 76]
</think>

<response>-100, -98, -88, -56, -51, -45, 61, 76</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 59, -76, -84.

output:
<think>
Initial list: [59, -76, -84]

Pass 1:
  Compare 59 and -76
  Swap 59 and -76
  List after swap: [-76, 59, -84]
  Compare 59 and -84
  Swap 59 and -84
  List after swap: [-76, -84, 59]

Pass 2:
  Compare -76 and -84
  Swap -76 and -84
  List after swap: [-84, -76, 59]

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

Final sorted list: [-84, -76, 59]
</think>

<response>-84, -76, 59</response>