input: Carry out the bubble sort algorithm on 8, 32, 85, 18, -83, -57, 91, -96, 92 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [8, 32, 85, 18, -83, -57, 91, -96, 92]

Pass 1:
  Compare 8 and 32
  No swap needed
  Compare 32 and 85
  No swap needed
  Compare 85 and 18
  Swap 85 and 18
  List after swap: [8, 32, 18, 85, -83, -57, 91, -96, 92]
  Compare 85 and -83
  Swap 85 and -83
  List after swap: [8, 32, 18, -83, 85, -57, 91, -96, 92]
  Compare 85 and -57
  Swap 85 and -57
  List after swap: [8, 32, 18, -83, -57, 85, 91, -96, 92]
  Compare 85 and 91
  No swap needed
  Compare 91 and -96
  Swap 91 and -96
  List after swap: [8, 32, 18, -83, -57, 85, -96, 91, 92]
  Compare 91 and 92
  No swap needed

Pass 2:
  Compare 8 and 32
  No swap needed
  Compare 32 and 18
  Swap 32 and 18
  List after swap: [8, 18, 32, -83, -57, 85, -96, 91, 92]
  Compare 32 and -83
  Swap 32 and -83
  List after swap: [8, 18, -83, 32, -57, 85, -96, 91, 92]
  Compare 32 and -57
  Swap 32 and -57
  List after swap: [8, 18, -83, -57, 32, 85, -96, 91, 92]
  Compare 32 and 85
  No swap needed
  Compare 85 and -96
  Swap 85 and -96
  List after swap: [8, 18, -83, -57, 32, -96, 85, 91, 92]
  Compare 85 and 91
  No swap needed

Pass 3:
  Compare 8 and 18
  No swap needed
  Compare 18 and -83
  Swap 18 and -83
  List after swap: [8, -83, 18, -57, 32, -96, 85, 91, 92]
  Compare 18 and -57
  Swap 18 and -57
  List after swap: [8, -83, -57, 18, 32, -96, 85, 91, 92]
  Compare 18 and 32
  No swap needed
  Compare 32 and -96
  Swap 32 and -96
  List after swap: [8, -83, -57, 18, -96, 32, 85, 91, 92]
  Compare 32 and 85
  No swap needed

Pass 4:
  Compare 8 and -83
  Swap 8 and -83
  List after swap: [-83, 8, -57, 18, -96, 32, 85, 91, 92]
  Compare 8 and -57
  Swap 8 and -57
  List after swap: [-83, -57, 8, 18, -96, 32, 85, 91, 92]
  Compare 8 and 18
  No swap needed
  Compare 18 and -96
  Swap 18 and -96
  List after swap: [-83, -57, 8, -96, 18, 32, 85, 91, 92]
  Compare 18 and 32
  No swap needed

Pass 5:
  Compare -83 and -57
  No swap needed
  Compare -57 and 8
  No swap needed
  Compare 8 and -96
  Swap 8 and -96
  List after swap: [-83, -57, -96, 8, 18, 32, 85, 91, 92]
  Compare 8 and 18
  No swap needed

Pass 6:
  Compare -83 and -57
  No swap needed
  Compare -57 and -96
  Swap -57 and -96
  List after swap: [-83, -96, -57, 8, 18, 32, 85, 91, 92]
  Compare -57 and 8
  No swap needed

Pass 7:
  Compare -83 and -96
  Swap -83 and -96
  List after swap: [-96, -83, -57, 8, 18, 32, 85, 91, 92]
  Compare -83 and -57
  No swap needed

Pass 8:
  Compare -96 and -83
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -83, -57, 8, 18, 32, 85, 91, 92]
</think>

<response>-96, -83, -57, 8, 18, 32, 85, 91, 92</response>


input: Sort the list -15, -50, -45 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-15, -50, -45]

Pass 1:
  Compare -15 and -50
  Swap -15 and -50
  List after swap: [-50, -15, -45]
  Compare -15 and -45
  Swap -15 and -45
  List after swap: [-50, -45, -15]

Pass 2:
  Compare -50 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, -45, -15]
</think>

<response>-50, -45, -15</response>


input: Demonstrate how bubble sort orders the integers 98, 34, -21, 24, -60, -78 in ascending sequence, showing all steps.

output:
<think>
Initial list: [98, 34, -21, 24, -60, -78]

Pass 1:
  Compare 98 and 34
  Swap 98 and 34
  List after swap: [34, 98, -21, 24, -60, -78]
  Compare 98 and -21
  Swap 98 and -21
  List after swap: [34, -21, 98, 24, -60, -78]
  Compare 98 and 24
  Swap 98 and 24
  List after swap: [34, -21, 24, 98, -60, -78]
  Compare 98 and -60
  Swap 98 and -60
  List after swap: [34, -21, 24, -60, 98, -78]
  Compare 98 and -78
  Swap 98 and -78
  List after swap: [34, -21, 24, -60, -78, 98]

Pass 2:
  Compare 34 and -21
  Swap 34 and -21
  List after swap: [-21, 34, 24, -60, -78, 98]
  Compare 34 and 24
  Swap 34 and 24
  List after swap: [-21, 24, 34, -60, -78, 98]
  Compare 34 and -60
  Swap 34 and -60
  List after swap: [-21, 24, -60, 34, -78, 98]
  Compare 34 and -78
  Swap 34 and -78
  List after swap: [-21, 24, -60, -78, 34, 98]

Pass 3:
  Compare -21 and 24
  No swap needed
  Compare 24 and -60
  Swap 24 and -60
  List after swap: [-21, -60, 24, -78, 34, 98]
  Compare 24 and -78
  Swap 24 and -78
  List after swap: [-21, -60, -78, 24, 34, 98]

Pass 4:
  Compare -21 and -60
  Swap -21 and -60
  List after swap: [-60, -21, -78, 24, 34, 98]
  Compare -21 and -78
  Swap -21 and -78
  List after swap: [-60, -78, -21, 24, 34, 98]

Pass 5:
  Compare -60 and -78
  Swap -60 and -78
  List after swap: [-78, -60, -21, 24, 34, 98]

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

Final sorted list: [-78, -60, -21, 24, 34, 98]
</think>

<response>-78, -60, -21, 24, 34, 98</response>


input: Sort the list -74, -62, 66 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-74, -62, 66]

Pass 1:
  Compare -74 and -62
  No swap needed
  Compare -62 and 66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -62, 66]
</think>

<response>-74, -62, 66</response>


input: Sort the list -68, -53, 10, -20, -92, 96, -97, 99 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-68, -53, 10, -20, -92, 96, -97, 99]

Pass 1:
  Compare -68 and -53
  No swap needed
  Compare -53 and 10
  No swap needed
  Compare 10 and -20
  Swap 10 and -20
  List after swap: [-68, -53, -20, 10, -92, 96, -97, 99]
  Compare 10 and -92
  Swap 10 and -92
  List after swap: [-68, -53, -20, -92, 10, 96, -97, 99]
  Compare 10 and 96
  No swap needed
  Compare 96 and -97
  Swap 96 and -97
  List after swap: [-68, -53, -20, -92, 10, -97, 96, 99]
  Compare 96 and 99
  No swap needed

Pass 2:
  Compare -68 and -53
  No swap needed
  Compare -53 and -20
  No swap needed
  Compare -20 and -92
  Swap -20 and -92
  List after swap: [-68, -53, -92, -20, 10, -97, 96, 99]
  Compare -20 and 10
  No swap needed
  Compare 10 and -97
  Swap 10 and -97
  List after swap: [-68, -53, -92, -20, -97, 10, 96, 99]
  Compare 10 and 96
  No swap needed

Pass 3:
  Compare -68 and -53
  No swap needed
  Compare -53 and -92
  Swap -53 and -92
  List after swap: [-68, -92, -53, -20, -97, 10, 96, 99]
  Compare -53 and -20
  No swap needed
  Compare -20 and -97
  Swap -20 and -97
  List after swap: [-68, -92, -53, -97, -20, 10, 96, 99]
  Compare -20 and 10
  No swap needed

Pass 4:
  Compare -68 and -92
  Swap -68 and -92
  List after swap: [-92, -68, -53, -97, -20, 10, 96, 99]
  Compare -68 and -53
  No swap needed
  Compare -53 and -97
  Swap -53 and -97
  List after swap: [-92, -68, -97, -53, -20, 10, 96, 99]
  Compare -53 and -20
  No swap needed

Pass 5:
  Compare -92 and -68
  No swap needed
  Compare -68 and -97
  Swap -68 and -97
  List after swap: [-92, -97, -68, -53, -20, 10, 96, 99]
  Compare -68 and -53
  No swap needed

Pass 6:
  Compare -92 and -97
  Swap -92 and -97
  List after swap: [-97, -92, -68, -53, -20, 10, 96, 99]
  Compare -92 and -68
  No swap needed

Pass 7:
  Compare -97 and -92
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -92, -68, -53, -20, 10, 96, 99]
</think>

<response>-97, -92, -68, -53, -20, 10, 96, 99</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 65, -77.

output:
<think>
Initial list: [65, -77]

Pass 1:
  Compare 65 and -77
  Swap 65 and -77
  List after swap: [-77, 65]

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

Final sorted list: [-77, 65]
</think>

<response>-77, 65</response>


input: Perform a bubble sort on the integers 91, -79, -61, 86, 93, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [91, -79, -61, 86, 93]

Pass 1:
  Compare 91 and -79
  Swap 91 and -79
  List after swap: [-79, 91, -61, 86, 93]
  Compare 91 and -61
  Swap 91 and -61
  List after swap: [-79, -61, 91, 86, 93]
  Compare 91 and 86
  Swap 91 and 86
  List after swap: [-79, -61, 86, 91, 93]
  Compare 91 and 93
  No swap needed

Pass 2:
  Compare -79 and -61
  No swap needed
  Compare -61 and 86
  No swap needed
  Compare 86 and 91
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -61, 86, 91, 93]
</think>

<response>-79, -61, 86, 91, 93</response>


input: Use the bubble sort technique to reorder -43, 47, -12, -2, 61 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-43, 47, -12, -2, 61]

Pass 1:
  Compare -43 and 47
  No swap needed
  Compare 47 and -12
  Swap 47 and -12
  List after swap: [-43, -12, 47, -2, 61]
  Compare 47 and -2
  Swap 47 and -2
  List after swap: [-43, -12, -2, 47, 61]
  Compare 47 and 61
  No swap needed

Pass 2:
  Compare -43 and -12
  No swap needed
  Compare -12 and -2
  No swap needed
  Compare -2 and 47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-43, -12, -2, 47, 61]
</think>

<response>-43, -12, -2, 47, 61</response>


input: Carry out the bubble sort algorithm on -47, 96, 54, -69, -97, 59, -77, 29, -63, 17 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-47, 96, 54, -69, -97, 59, -77, 29, -63, 17]

Pass 1:
  Compare -47 and 96
  No swap needed
  Compare 96 and 54
  Swap 96 and 54
  List after swap: [-47, 54, 96, -69, -97, 59, -77, 29, -63, 17]
  Compare 96 and -69
  Swap 96 and -69
  List after swap: [-47, 54, -69, 96, -97, 59, -77, 29, -63, 17]
  Compare 96 and -97
  Swap 96 and -97
  List after swap: [-47, 54, -69, -97, 96, 59, -77, 29, -63, 17]
  Compare 96 and 59
  Swap 96 and 59
  List after swap: [-47, 54, -69, -97, 59, 96, -77, 29, -63, 17]
  Compare 96 and -77
  Swap 96 and -77
  List after swap: [-47, 54, -69, -97, 59, -77, 96, 29, -63, 17]
  Compare 96 and 29
  Swap 96 and 29
  List after swap: [-47, 54, -69, -97, 59, -77, 29, 96, -63, 17]
  Compare 96 and -63
  Swap 96 and -63
  List after swap: [-47, 54, -69, -97, 59, -77, 29, -63, 96, 17]
  Compare 96 and 17
  Swap 96 and 17
  List after swap: [-47, 54, -69, -97, 59, -77, 29, -63, 17, 96]

Pass 2:
  Compare -47 and 54
  No swap needed
  Compare 54 and -69
  Swap 54 and -69
  List after swap: [-47, -69, 54, -97, 59, -77, 29, -63, 17, 96]
  Compare 54 and -97
  Swap 54 and -97
  List after swap: [-47, -69, -97, 54, 59, -77, 29, -63, 17, 96]
  Compare 54 and 59
  No swap needed
  Compare 59 and -77
  Swap 59 and -77
  List after swap: [-47, -69, -97, 54, -77, 59, 29, -63, 17, 96]
  Compare 59 and 29
  Swap 59 and 29
  List after swap: [-47, -69, -97, 54, -77, 29, 59, -63, 17, 96]
  Compare 59 and -63
  Swap 59 and -63
  List after swap: [-47, -69, -97, 54, -77, 29, -63, 59, 17, 96]
  Compare 59 and 17
  Swap 59 and 17
  List after swap: [-47, -69, -97, 54, -77, 29, -63, 17, 59, 96]

Pass 3:
  Compare -47 and -69
  Swap -47 and -69
  List after swap: [-69, -47, -97, 54, -77, 29, -63, 17, 59, 96]
  Compare -47 and -97
  Swap -47 and -97
  List after swap: [-69, -97, -47, 54, -77, 29, -63, 17, 59, 96]
  Compare -47 and 54
  No swap needed
  Compare 54 and -77
  Swap 54 and -77
  List after swap: [-69, -97, -47, -77, 54, 29, -63, 17, 59, 96]
  Compare 54 and 29
  Swap 54 and 29
  List after swap: [-69, -97, -47, -77, 29, 54, -63, 17, 59, 96]
  Compare 54 and -63
  Swap 54 and -63
  List after swap: [-69, -97, -47, -77, 29, -63, 54, 17, 59, 96]
  Compare 54 and 17
  Swap 54 and 17
  List after swap: [-69, -97, -47, -77, 29, -63, 17, 54, 59, 96]

Pass 4:
  Compare -69 and -97
  Swap -69 and -97
  List after swap: [-97, -69, -47, -77, 29, -63, 17, 54, 59, 96]
  Compare -69 and -47
  No swap needed
  Compare -47 and -77
  Swap -47 and -77
  List after swap: [-97, -69, -77, -47, 29, -63, 17, 54, 59, 96]
  Compare -47 and 29
  No swap needed
  Compare 29 and -63
  Swap 29 and -63
  List after swap: [-97, -69, -77, -47, -63, 29, 17, 54, 59, 96]
  Compare 29 and 17
  Swap 29 and 17
  List after swap: [-97, -69, -77, -47, -63, 17, 29, 54, 59, 96]

Pass 5:
  Compare -97 and -69
  No swap needed
  Compare -69 and -77
  Swap -69 and -77
  List after swap: [-97, -77, -69, -47, -63, 17, 29, 54, 59, 96]
  Compare -69 and -47
  No swap needed
  Compare -47 and -63
  Swap -47 and -63
  List after swap: [-97, -77, -69, -63, -47, 17, 29, 54, 59, 96]
  Compare -47 and 17
  No swap needed

Pass 6:
  Compare -97 and -77
  No swap needed
  Compare -77 and -69
  No swap needed
  Compare -69 and -63
  No swap needed
  Compare -63 and -47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -77, -69, -63, -47, 17, 29, 54, 59, 96]
</think>

<response>-97, -77, -69, -63, -47, 17, 29, 54, 59, 96</response>


input: Using the bubble sort method, sort -44, 53, -90, -39, -54, 90, 27 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-44, 53, -90, -39, -54, 90, 27]

Pass 1:
  Compare -44 and 53
  No swap needed
  Compare 53 and -90
  Swap 53 and -90
  List after swap: [-44, -90, 53, -39, -54, 90, 27]
  Compare 53 and -39
  Swap 53 and -39
  List after swap: [-44, -90, -39, 53, -54, 90, 27]
  Compare 53 and -54
  Swap 53 and -54
  List after swap: [-44, -90, -39, -54, 53, 90, 27]
  Compare 53 and 90
  No swap needed
  Compare 90 and 27
  Swap 90 and 27
  List after swap: [-44, -90, -39, -54, 53, 27, 90]

Pass 2:
  Compare -44 and -90
  Swap -44 and -90
  List after swap: [-90, -44, -39, -54, 53, 27, 90]
  Compare -44 and -39
  No swap needed
  Compare -39 and -54
  Swap -39 and -54
  List after swap: [-90, -44, -54, -39, 53, 27, 90]
  Compare -39 and 53
  No swap needed
  Compare 53 and 27
  Swap 53 and 27
  List after swap: [-90, -44, -54, -39, 27, 53, 90]

Pass 3:
  Compare -90 and -44
  No swap needed
  Compare -44 and -54
  Swap -44 and -54
  List after swap: [-90, -54, -44, -39, 27, 53, 90]
  Compare -44 and -39
  No swap needed
  Compare -39 and 27
  No swap needed

Pass 4:
  Compare -90 and -54
  No swap needed
  Compare -54 and -44
  No swap needed
  Compare -44 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -54, -44, -39, 27, 53, 90]
</think>

<response>-90, -54, -44, -39, 27, 53, 90</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 33, 86, 74.

output:
<think>
Initial list: [33, 86, 74]

Pass 1:
  Compare 33 and 86
  No swap needed
  Compare 86 and 74
  Swap 86 and 74
  List after swap: [33, 74, 86]

Pass 2:
  Compare 33 and 74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [33, 74, 86]
</think>

<response>33, 74, 86</response>


input: Use the bubble sort technique to reorder -92, 21, 59, 88, -19, -7, -55, -67 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-92, 21, 59, 88, -19, -7, -55, -67]

Pass 1:
  Compare -92 and 21
  No swap needed
  Compare 21 and 59
  No swap needed
  Compare 59 and 88
  No swap needed
  Compare 88 and -19
  Swap 88 and -19
  List after swap: [-92, 21, 59, -19, 88, -7, -55, -67]
  Compare 88 and -7
  Swap 88 and -7
  List after swap: [-92, 21, 59, -19, -7, 88, -55, -67]
  Compare 88 and -55
  Swap 88 and -55
  List after swap: [-92, 21, 59, -19, -7, -55, 88, -67]
  Compare 88 and -67
  Swap 88 and -67
  List after swap: [-92, 21, 59, -19, -7, -55, -67, 88]

Pass 2:
  Compare -92 and 21
  No swap needed
  Compare 21 and 59
  No swap needed
  Compare 59 and -19
  Swap 59 and -19
  List after swap: [-92, 21, -19, 59, -7, -55, -67, 88]
  Compare 59 and -7
  Swap 59 and -7
  List after swap: [-92, 21, -19, -7, 59, -55, -67, 88]
  Compare 59 and -55
  Swap 59 and -55
  List after swap: [-92, 21, -19, -7, -55, 59, -67, 88]
  Compare 59 and -67
  Swap 59 and -67
  List after swap: [-92, 21, -19, -7, -55, -67, 59, 88]

Pass 3:
  Compare -92 and 21
  No swap needed
  Compare 21 and -19
  Swap 21 and -19
  List after swap: [-92, -19, 21, -7, -55, -67, 59, 88]
  Compare 21 and -7
  Swap 21 and -7
  List after swap: [-92, -19, -7, 21, -55, -67, 59, 88]
  Compare 21 and -55
  Swap 21 and -55
  List after swap: [-92, -19, -7, -55, 21, -67, 59, 88]
  Compare 21 and -67
  Swap 21 and -67
  List after swap: [-92, -19, -7, -55, -67, 21, 59, 88]

Pass 4:
  Compare -92 and -19
  No swap needed
  Compare -19 and -7
  No swap needed
  Compare -7 and -55
  Swap -7 and -55
  List after swap: [-92, -19, -55, -7, -67, 21, 59, 88]
  Compare -7 and -67
  Swap -7 and -67
  List after swap: [-92, -19, -55, -67, -7, 21, 59, 88]

Pass 5:
  Compare -92 and -19
  No swap needed
  Compare -19 and -55
  Swap -19 and -55
  List after swap: [-92, -55, -19, -67, -7, 21, 59, 88]
  Compare -19 and -67
  Swap -19 and -67
  List after swap: [-92, -55, -67, -19, -7, 21, 59, 88]

Pass 6:
  Compare -92 and -55
  No swap needed
  Compare -55 and -67
  Swap -55 and -67
  List after swap: [-92, -67, -55, -19, -7, 21, 59, 88]

Pass 7:
  Compare -92 and -67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -67, -55, -19, -7, 21, 59, 88]
</think>

<response>-92, -67, -55, -19, -7, 21, 59, 88</response>


input: Sort the list -82, 10, 2, 86, 81 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-82, 10, 2, 86, 81]

Pass 1:
  Compare -82 and 10
  No swap needed
  Compare 10 and 2
  Swap 10 and 2
  List after swap: [-82, 2, 10, 86, 81]
  Compare 10 and 86
  No swap needed
  Compare 86 and 81
  Swap 86 and 81
  List after swap: [-82, 2, 10, 81, 86]

Pass 2:
  Compare -82 and 2
  No swap needed
  Compare 2 and 10
  No swap needed
  Compare 10 and 81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, 2, 10, 81, 86]
</think>

<response>-82, 2, 10, 81, 86</response>


input: Execute bubble sort to sort 84, 41, -36, -41, -54 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [84, 41, -36, -41, -54]

Pass 1:
  Compare 84 and 41
  Swap 84 and 41
  List after swap: [41, 84, -36, -41, -54]
  Compare 84 and -36
  Swap 84 and -36
  List after swap: [41, -36, 84, -41, -54]
  Compare 84 and -41
  Swap 84 and -41
  List after swap: [41, -36, -41, 84, -54]
  Compare 84 and -54
  Swap 84 and -54
  List after swap: [41, -36, -41, -54, 84]

Pass 2:
  Compare 41 and -36
  Swap 41 and -36
  List after swap: [-36, 41, -41, -54, 84]
  Compare 41 and -41
  Swap 41 and -41
  List after swap: [-36, -41, 41, -54, 84]
  Compare 41 and -54
  Swap 41 and -54
  List after swap: [-36, -41, -54, 41, 84]

Pass 3:
  Compare -36 and -41
  Swap -36 and -41
  List after swap: [-41, -36, -54, 41, 84]
  Compare -36 and -54
  Swap -36 and -54
  List after swap: [-41, -54, -36, 41, 84]

Pass 4:
  Compare -41 and -54
  Swap -41 and -54
  List after swap: [-54, -41, -36, 41, 84]

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

Final sorted list: [-54, -41, -36, 41, 84]
</think>

<response>-54, -41, -36, 41, 84</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -9, 42, 98, -71, 36, -70, -90.

output:
<think>
Initial list: [-9, 42, 98, -71, 36, -70, -90]

Pass 1:
  Compare -9 and 42
  No swap needed
  Compare 42 and 98
  No swap needed
  Compare 98 and -71
  Swap 98 and -71
  List after swap: [-9, 42, -71, 98, 36, -70, -90]
  Compare 98 and 36
  Swap 98 and 36
  List after swap: [-9, 42, -71, 36, 98, -70, -90]
  Compare 98 and -70
  Swap 98 and -70
  List after swap: [-9, 42, -71, 36, -70, 98, -90]
  Compare 98 and -90
  Swap 98 and -90
  List after swap: [-9, 42, -71, 36, -70, -90, 98]

Pass 2:
  Compare -9 and 42
  No swap needed
  Compare 42 and -71
  Swap 42 and -71
  List after swap: [-9, -71, 42, 36, -70, -90, 98]
  Compare 42 and 36
  Swap 42 and 36
  List after swap: [-9, -71, 36, 42, -70, -90, 98]
  Compare 42 and -70
  Swap 42 and -70
  List after swap: [-9, -71, 36, -70, 42, -90, 98]
  Compare 42 and -90
  Swap 42 and -90
  List after swap: [-9, -71, 36, -70, -90, 42, 98]

Pass 3:
  Compare -9 and -71
  Swap -9 and -71
  List after swap: [-71, -9, 36, -70, -90, 42, 98]
  Compare -9 and 36
  No swap needed
  Compare 36 and -70
  Swap 36 and -70
  List after swap: [-71, -9, -70, 36, -90, 42, 98]
  Compare 36 and -90
  Swap 36 and -90
  List after swap: [-71, -9, -70, -90, 36, 42, 98]

Pass 4:
  Compare -71 and -9
  No swap needed
  Compare -9 and -70
  Swap -9 and -70
  List after swap: [-71, -70, -9, -90, 36, 42, 98]
  Compare -9 and -90
  Swap -9 and -90
  List after swap: [-71, -70, -90, -9, 36, 42, 98]

Pass 5:
  Compare -71 and -70
  No swap needed
  Compare -70 and -90
  Swap -70 and -90
  List after swap: [-71, -90, -70, -9, 36, 42, 98]

Pass 6:
  Compare -71 and -90
  Swap -71 and -90
  List after swap: [-90, -71, -70, -9, 36, 42, 98]

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

Final sorted list: [-90, -71, -70, -9, 36, 42, 98]
</think>

<response>-90, -71, -70, -9, 36, 42, 98</response>


input: Perform a bubble sort on the integers 5, -42, -90, -66, -28, -11, -9, 18, -3, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [5, -42, -90, -66, -28, -11, -9, 18, -3]

Pass 1:
  Compare 5 and -42
  Swap 5 and -42
  List after swap: [-42, 5, -90, -66, -28, -11, -9, 18, -3]
  Compare 5 and -90
  Swap 5 and -90
  List after swap: [-42, -90, 5, -66, -28, -11, -9, 18, -3]
  Compare 5 and -66
  Swap 5 and -66
  List after swap: [-42, -90, -66, 5, -28, -11, -9, 18, -3]
  Compare 5 and -28
  Swap 5 and -28
  List after swap: [-42, -90, -66, -28, 5, -11, -9, 18, -3]
  Compare 5 and -11
  Swap 5 and -11
  List after swap: [-42, -90, -66, -28, -11, 5, -9, 18, -3]
  Compare 5 and -9
  Swap 5 and -9
  List after swap: [-42, -90, -66, -28, -11, -9, 5, 18, -3]
  Compare 5 and 18
  No swap needed
  Compare 18 and -3
  Swap 18 and -3
  List after swap: [-42, -90, -66, -28, -11, -9, 5, -3, 18]

Pass 2:
  Compare -42 and -90
  Swap -42 and -90
  List after swap: [-90, -42, -66, -28, -11, -9, 5, -3, 18]
  Compare -42 and -66
  Swap -42 and -66
  List after swap: [-90, -66, -42, -28, -11, -9, 5, -3, 18]
  Compare -42 and -28
  No swap needed
  Compare -28 and -11
  No swap needed
  Compare -11 and -9
  No swap needed
  Compare -9 and 5
  No swap needed
  Compare 5 and -3
  Swap 5 and -3
  List after swap: [-90, -66, -42, -28, -11, -9, -3, 5, 18]

Pass 3:
  Compare -90 and -66
  No swap needed
  Compare -66 and -42
  No swap needed
  Compare -42 and -28
  No swap needed
  Compare -28 and -11
  No swap needed
  Compare -11 and -9
  No swap needed
  Compare -9 and -3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -66, -42, -28, -11, -9, -3, 5, 18]
</think>

<response>-90, -66, -42, -28, -11, -9, -3, 5, 18</response>


input: Sort these integers 50, -82, 57, -9, -68, 60, 27, -75 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [50, -82, 57, -9, -68, 60, 27, -75]

Pass 1:
  Compare 50 and -82
  Swap 50 and -82
  List after swap: [-82, 50, 57, -9, -68, 60, 27, -75]
  Compare 50 and 57
  No swap needed
  Compare 57 and -9
  Swap 57 and -9
  List after swap: [-82, 50, -9, 57, -68, 60, 27, -75]
  Compare 57 and -68
  Swap 57 and -68
  List after swap: [-82, 50, -9, -68, 57, 60, 27, -75]
  Compare 57 and 60
  No swap needed
  Compare 60 and 27
  Swap 60 and 27
  List after swap: [-82, 50, -9, -68, 57, 27, 60, -75]
  Compare 60 and -75
  Swap 60 and -75
  List after swap: [-82, 50, -9, -68, 57, 27, -75, 60]

Pass 2:
  Compare -82 and 50
  No swap needed
  Compare 50 and -9
  Swap 50 and -9
  List after swap: [-82, -9, 50, -68, 57, 27, -75, 60]
  Compare 50 and -68
  Swap 50 and -68
  List after swap: [-82, -9, -68, 50, 57, 27, -75, 60]
  Compare 50 and 57
  No swap needed
  Compare 57 and 27
  Swap 57 and 27
  List after swap: [-82, -9, -68, 50, 27, 57, -75, 60]
  Compare 57 and -75
  Swap 57 and -75
  List after swap: [-82, -9, -68, 50, 27, -75, 57, 60]

Pass 3:
  Compare -82 and -9
  No swap needed
  Compare -9 and -68
  Swap -9 and -68
  List after swap: [-82, -68, -9, 50, 27, -75, 57, 60]
  Compare -9 and 50
  No swap needed
  Compare 50 and 27
  Swap 50 and 27
  List after swap: [-82, -68, -9, 27, 50, -75, 57, 60]
  Compare 50 and -75
  Swap 50 and -75
  List after swap: [-82, -68, -9, 27, -75, 50, 57, 60]

Pass 4:
  Compare -82 and -68
  No swap needed
  Compare -68 and -9
  No swap needed
  Compare -9 and 27
  No swap needed
  Compare 27 and -75
  Swap 27 and -75
  List after swap: [-82, -68, -9, -75, 27, 50, 57, 60]

Pass 5:
  Compare -82 and -68
  No swap needed
  Compare -68 and -9
  No swap needed
  Compare -9 and -75
  Swap -9 and -75
  List after swap: [-82, -68, -75, -9, 27, 50, 57, 60]

Pass 6:
  Compare -82 and -68
  No swap needed
  Compare -68 and -75
  Swap -68 and -75
  List after swap: [-82, -75, -68, -9, 27, 50, 57, 60]

Pass 7:
  Compare -82 and -75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -75, -68, -9, 27, 50, 57, 60]
</think>

<response>-82, -75, -68, -9, 27, 50, 57, 60</response>


input: Using the bubble sort method, sort -1, -73, -12, -62 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-1, -73, -12, -62]

Pass 1:
  Compare -1 and -73
  Swap -1 and -73
  List after swap: [-73, -1, -12, -62]
  Compare -1 and -12
  Swap -1 and -12
  List after swap: [-73, -12, -1, -62]
  Compare -1 and -62
  Swap -1 and -62
  List after swap: [-73, -12, -62, -1]

Pass 2:
  Compare -73 and -12
  No swap needed
  Compare -12 and -62
  Swap -12 and -62
  List after swap: [-73, -62, -12, -1]

Pass 3:
  Compare -73 and -62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -62, -12, -1]
</think>

<response>-73, -62, -12, -1</response>


input: Perform a bubble sort on the integers -60, -44, 52, 75, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-60, -44, 52, 75]

Pass 1:
  Compare -60 and -44
  No swap needed
  Compare -44 and 52
  No swap needed
  Compare 52 and 75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -44, 52, 75]
</think>

<response>-60, -44, 52, 75</response>


input: Arrange the numbers -9, -96, 62, -82, 41, 83, 13 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-9, -96, 62, -82, 41, 83, 13]

Pass 1:
  Compare -9 and -96
  Swap -9 and -96
  List after swap: [-96, -9, 62, -82, 41, 83, 13]
  Compare -9 and 62
  No swap needed
  Compare 62 and -82
  Swap 62 and -82
  List after swap: [-96, -9, -82, 62, 41, 83, 13]
  Compare 62 and 41
  Swap 62 and 41
  List after swap: [-96, -9, -82, 41, 62, 83, 13]
  Compare 62 and 83
  No swap needed
  Compare 83 and 13
  Swap 83 and 13
  List after swap: [-96, -9, -82, 41, 62, 13, 83]

Pass 2:
  Compare -96 and -9
  No swap needed
  Compare -9 and -82
  Swap -9 and -82
  List after swap: [-96, -82, -9, 41, 62, 13, 83]
  Compare -9 and 41
  No swap needed
  Compare 41 and 62
  No swap needed
  Compare 62 and 13
  Swap 62 and 13
  List after swap: [-96, -82, -9, 41, 13, 62, 83]

Pass 3:
  Compare -96 and -82
  No swap needed
  Compare -82 and -9
  No swap needed
  Compare -9 and 41
  No swap needed
  Compare 41 and 13
  Swap 41 and 13
  List after swap: [-96, -82, -9, 13, 41, 62, 83]

Pass 4:
  Compare -96 and -82
  No swap needed
  Compare -82 and -9
  No swap needed
  Compare -9 and 13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -82, -9, 13, 41, 62, 83]
</think>

<response>-96, -82, -9, 13, 41, 62, 83</response>


input: Carry out the bubble sort algorithm on -32, -73, 1, -20, 71, 79, -27, -62, 82, -47 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-32, -73, 1, -20, 71, 79, -27, -62, 82, -47]

Pass 1:
  Compare -32 and -73
  Swap -32 and -73
  List after swap: [-73, -32, 1, -20, 71, 79, -27, -62, 82, -47]
  Compare -32 and 1
  No swap needed
  Compare 1 and -20
  Swap 1 and -20
  List after swap: [-73, -32, -20, 1, 71, 79, -27, -62, 82, -47]
  Compare 1 and 71
  No swap needed
  Compare 71 and 79
  No swap needed
  Compare 79 and -27
  Swap 79 and -27
  List after swap: [-73, -32, -20, 1, 71, -27, 79, -62, 82, -47]
  Compare 79 and -62
  Swap 79 and -62
  List after swap: [-73, -32, -20, 1, 71, -27, -62, 79, 82, -47]
  Compare 79 and 82
  No swap needed
  Compare 82 and -47
  Swap 82 and -47
  List after swap: [-73, -32, -20, 1, 71, -27, -62, 79, -47, 82]

Pass 2:
  Compare -73 and -32
  No swap needed
  Compare -32 and -20
  No swap needed
  Compare -20 and 1
  No swap needed
  Compare 1 and 71
  No swap needed
  Compare 71 and -27
  Swap 71 and -27
  List after swap: [-73, -32, -20, 1, -27, 71, -62, 79, -47, 82]
  Compare 71 and -62
  Swap 71 and -62
  List after swap: [-73, -32, -20, 1, -27, -62, 71, 79, -47, 82]
  Compare 71 and 79
  No swap needed
  Compare 79 and -47
  Swap 79 and -47
  List after swap: [-73, -32, -20, 1, -27, -62, 71, -47, 79, 82]

Pass 3:
  Compare -73 and -32
  No swap needed
  Compare -32 and -20
  No swap needed
  Compare -20 and 1
  No swap needed
  Compare 1 and -27
  Swap 1 and -27
  List after swap: [-73, -32, -20, -27, 1, -62, 71, -47, 79, 82]
  Compare 1 and -62
  Swap 1 and -62
  List after swap: [-73, -32, -20, -27, -62, 1, 71, -47, 79, 82]
  Compare 1 and 71
  No swap needed
  Compare 71 and -47
  Swap 71 and -47
  List after swap: [-73, -32, -20, -27, -62, 1, -47, 71, 79, 82]

Pass 4:
  Compare -73 and -32
  No swap needed
  Compare -32 and -20
  No swap needed
  Compare -20 and -27
  Swap -20 and -27
  List after swap: [-73, -32, -27, -20, -62, 1, -47, 71, 79, 82]
  Compare -20 and -62
  Swap -20 and -62
  List after swap: [-73, -32, -27, -62, -20, 1, -47, 71, 79, 82]
  Compare -20 and 1
  No swap needed
  Compare 1 and -47
  Swap 1 and -47
  List after swap: [-73, -32, -27, -62, -20, -47, 1, 71, 79, 82]

Pass 5:
  Compare -73 and -32
  No swap needed
  Compare -32 and -27
  No swap needed
  Compare -27 and -62
  Swap -27 and -62
  List after swap: [-73, -32, -62, -27, -20, -47, 1, 71, 79, 82]
  Compare -27 and -20
  No swap needed
  Compare -20 and -47
  Swap -20 and -47
  List after swap: [-73, -32, -62, -27, -47, -20, 1, 71, 79, 82]

Pass 6:
  Compare -73 and -32
  No swap needed
  Compare -32 and -62
  Swap -32 and -62
  List after swap: [-73, -62, -32, -27, -47, -20, 1, 71, 79, 82]
  Compare -32 and -27
  No swap needed
  Compare -27 and -47
  Swap -27 and -47
  List after swap: [-73, -62, -32, -47, -27, -20, 1, 71, 79, 82]

Pass 7:
  Compare -73 and -62
  No swap needed
  Compare -62 and -32
  No swap needed
  Compare -32 and -47
  Swap -32 and -47
  List after swap: [-73, -62, -47, -32, -27, -20, 1, 71, 79, 82]

Pass 8:
  Compare -73 and -62
  No swap needed
  Compare -62 and -47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -62, -47, -32, -27, -20, 1, 71, 79, 82]
</think>

<response>-73, -62, -47, -32, -27, -20, 1, 71, 79, 82</response>


input: Carry out the bubble sort algorithm on 12, 51, 86 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [12, 51, 86]

Pass 1:
  Compare 12 and 51
  No swap needed
  Compare 51 and 86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [12, 51, 86]
</think>

<response>12, 51, 86</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 37, 49, -2, 78, -97, 41, -83, -76, 19.

output:
<think>
Initial list: [37, 49, -2, 78, -97, 41, -83, -76, 19]

Pass 1:
  Compare 37 and 49
  No swap needed
  Compare 49 and -2
  Swap 49 and -2
  List after swap: [37, -2, 49, 78, -97, 41, -83, -76, 19]
  Compare 49 and 78
  No swap needed
  Compare 78 and -97
  Swap 78 and -97
  List after swap: [37, -2, 49, -97, 78, 41, -83, -76, 19]
  Compare 78 and 41
  Swap 78 and 41
  List after swap: [37, -2, 49, -97, 41, 78, -83, -76, 19]
  Compare 78 and -83
  Swap 78 and -83
  List after swap: [37, -2, 49, -97, 41, -83, 78, -76, 19]
  Compare 78 and -76
  Swap 78 and -76
  List after swap: [37, -2, 49, -97, 41, -83, -76, 78, 19]
  Compare 78 and 19
  Swap 78 and 19
  List after swap: [37, -2, 49, -97, 41, -83, -76, 19, 78]

Pass 2:
  Compare 37 and -2
  Swap 37 and -2
  List after swap: [-2, 37, 49, -97, 41, -83, -76, 19, 78]
  Compare 37 and 49
  No swap needed
  Compare 49 and -97
  Swap 49 and -97
  List after swap: [-2, 37, -97, 49, 41, -83, -76, 19, 78]
  Compare 49 and 41
  Swap 49 and 41
  List after swap: [-2, 37, -97, 41, 49, -83, -76, 19, 78]
  Compare 49 and -83
  Swap 49 and -83
  List after swap: [-2, 37, -97, 41, -83, 49, -76, 19, 78]
  Compare 49 and -76
  Swap 49 and -76
  List after swap: [-2, 37, -97, 41, -83, -76, 49, 19, 78]
  Compare 49 and 19
  Swap 49 and 19
  List after swap: [-2, 37, -97, 41, -83, -76, 19, 49, 78]

Pass 3:
  Compare -2 and 37
  No swap needed
  Compare 37 and -97
  Swap 37 and -97
  List after swap: [-2, -97, 37, 41, -83, -76, 19, 49, 78]
  Compare 37 and 41
  No swap needed
  Compare 41 and -83
  Swap 41 and -83
  List after swap: [-2, -97, 37, -83, 41, -76, 19, 49, 78]
  Compare 41 and -76
  Swap 41 and -76
  List after swap: [-2, -97, 37, -83, -76, 41, 19, 49, 78]
  Compare 41 and 19
  Swap 41 and 19
  List after swap: [-2, -97, 37, -83, -76, 19, 41, 49, 78]

Pass 4:
  Compare -2 and -97
  Swap -2 and -97
  List after swap: [-97, -2, 37, -83, -76, 19, 41, 49, 78]
  Compare -2 and 37
  No swap needed
  Compare 37 and -83
  Swap 37 and -83
  List after swap: [-97, -2, -83, 37, -76, 19, 41, 49, 78]
  Compare 37 and -76
  Swap 37 and -76
  List after swap: [-97, -2, -83, -76, 37, 19, 41, 49, 78]
  Compare 37 and 19
  Swap 37 and 19
  List after swap: [-97, -2, -83, -76, 19, 37, 41, 49, 78]

Pass 5:
  Compare -97 and -2
  No swap needed
  Compare -2 and -83
  Swap -2 and -83
  List after swap: [-97, -83, -2, -76, 19, 37, 41, 49, 78]
  Compare -2 and -76
  Swap -2 and -76
  List after swap: [-97, -83, -76, -2, 19, 37, 41, 49, 78]
  Compare -2 and 19
  No swap needed

Pass 6:
  Compare -97 and -83
  No swap needed
  Compare -83 and -76
  No swap needed
  Compare -76 and -2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -83, -76, -2, 19, 37, 41, 49, 78]
</think>

<response>-97, -83, -76, -2, 19, 37, 41, 49, 78</response>


input: Arrange the numbers -32, 55, 13, 30, 18, 0, -3, 23 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-32, 55, 13, 30, 18, 0, -3, 23]

Pass 1:
  Compare -32 and 55
  No swap needed
  Compare 55 and 13
  Swap 55 and 13
  List after swap: [-32, 13, 55, 30, 18, 0, -3, 23]
  Compare 55 and 30
  Swap 55 and 30
  List after swap: [-32, 13, 30, 55, 18, 0, -3, 23]
  Compare 55 and 18
  Swap 55 and 18
  List after swap: [-32, 13, 30, 18, 55, 0, -3, 23]
  Compare 55 and 0
  Swap 55 and 0
  List after swap: [-32, 13, 30, 18, 0, 55, -3, 23]
  Compare 55 and -3
  Swap 55 and -3
  List after swap: [-32, 13, 30, 18, 0, -3, 55, 23]
  Compare 55 and 23
  Swap 55 and 23
  List after swap: [-32, 13, 30, 18, 0, -3, 23, 55]

Pass 2:
  Compare -32 and 13
  No swap needed
  Compare 13 and 30
  No swap needed
  Compare 30 and 18
  Swap 30 and 18
  List after swap: [-32, 13, 18, 30, 0, -3, 23, 55]
  Compare 30 and 0
  Swap 30 and 0
  List after swap: [-32, 13, 18, 0, 30, -3, 23, 55]
  Compare 30 and -3
  Swap 30 and -3
  List after swap: [-32, 13, 18, 0, -3, 30, 23, 55]
  Compare 30 and 23
  Swap 30 and 23
  List after swap: [-32, 13, 18, 0, -3, 23, 30, 55]

Pass 3:
  Compare -32 and 13
  No swap needed
  Compare 13 and 18
  No swap needed
  Compare 18 and 0
  Swap 18 and 0
  List after swap: [-32, 13, 0, 18, -3, 23, 30, 55]
  Compare 18 and -3
  Swap 18 and -3
  List after swap: [-32, 13, 0, -3, 18, 23, 30, 55]
  Compare 18 and 23
  No swap needed

Pass 4:
  Compare -32 and 13
  No swap needed
  Compare 13 and 0
  Swap 13 and 0
  List after swap: [-32, 0, 13, -3, 18, 23, 30, 55]
  Compare 13 and -3
  Swap 13 and -3
  List after swap: [-32, 0, -3, 13, 18, 23, 30, 55]
  Compare 13 and 18
  No swap needed

Pass 5:
  Compare -32 and 0
  No swap needed
  Compare 0 and -3
  Swap 0 and -3
  List after swap: [-32, -3, 0, 13, 18, 23, 30, 55]
  Compare 0 and 13
  No swap needed

Pass 6:
  Compare -32 and -3
  No swap needed
  Compare -3 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-32, -3, 0, 13, 18, 23, 30, 55]
</think>

<response>-32, -3, 0, 13, 18, 23, 30, 55</response>


input: Sort the list -33, 77, 92, 10 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-33, 77, 92, 10]

Pass 1:
  Compare -33 and 77
  No swap needed
  Compare 77 and 92
  No swap needed
  Compare 92 and 10
  Swap 92 and 10
  List after swap: [-33, 77, 10, 92]

Pass 2:
  Compare -33 and 77
  No swap needed
  Compare 77 and 10
  Swap 77 and 10
  List after swap: [-33, 10, 77, 92]

Pass 3:
  Compare -33 and 10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-33, 10, 77, 92]
</think>

<response>-33, 10, 77, 92</response>


input: Using the bubble sort method, sort 76, -16, -27, 72 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [76, -16, -27, 72]

Pass 1:
  Compare 76 and -16
  Swap 76 and -16
  List after swap: [-16, 76, -27, 72]
  Compare 76 and -27
  Swap 76 and -27
  List after swap: [-16, -27, 76, 72]
  Compare 76 and 72
  Swap 76 and 72
  List after swap: [-16, -27, 72, 76]

Pass 2:
  Compare -16 and -27
  Swap -16 and -27
  List after swap: [-27, -16, 72, 76]
  Compare -16 and 72
  No swap needed

Pass 3:
  Compare -27 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-27, -16, 72, 76]
</think>

<response>-27, -16, 72, 76</response>


input: Perform a bubble sort on the integers 2, -51, 1, -25, -70, 95, -83, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [2, -51, 1, -25, -70, 95, -83]

Pass 1:
  Compare 2 and -51
  Swap 2 and -51
  List after swap: [-51, 2, 1, -25, -70, 95, -83]
  Compare 2 and 1
  Swap 2 and 1
  List after swap: [-51, 1, 2, -25, -70, 95, -83]
  Compare 2 and -25
  Swap 2 and -25
  List after swap: [-51, 1, -25, 2, -70, 95, -83]
  Compare 2 and -70
  Swap 2 and -70
  List after swap: [-51, 1, -25, -70, 2, 95, -83]
  Compare 2 and 95
  No swap needed
  Compare 95 and -83
  Swap 95 and -83
  List after swap: [-51, 1, -25, -70, 2, -83, 95]

Pass 2:
  Compare -51 and 1
  No swap needed
  Compare 1 and -25
  Swap 1 and -25
  List after swap: [-51, -25, 1, -70, 2, -83, 95]
  Compare 1 and -70
  Swap 1 and -70
  List after swap: [-51, -25, -70, 1, 2, -83, 95]
  Compare 1 and 2
  No swap needed
  Compare 2 and -83
  Swap 2 and -83
  List after swap: [-51, -25, -70, 1, -83, 2, 95]

Pass 3:
  Compare -51 and -25
  No swap needed
  Compare -25 and -70
  Swap -25 and -70
  List after swap: [-51, -70, -25, 1, -83, 2, 95]
  Compare -25 and 1
  No swap needed
  Compare 1 and -83
  Swap 1 and -83
  List after swap: [-51, -70, -25, -83, 1, 2, 95]

Pass 4:
  Compare -51 and -70
  Swap -51 and -70
  List after swap: [-70, -51, -25, -83, 1, 2, 95]
  Compare -51 and -25
  No swap needed
  Compare -25 and -83
  Swap -25 and -83
  List after swap: [-70, -51, -83, -25, 1, 2, 95]

Pass 5:
  Compare -70 and -51
  No swap needed
  Compare -51 and -83
  Swap -51 and -83
  List after swap: [-70, -83, -51, -25, 1, 2, 95]

Pass 6:
  Compare -70 and -83
  Swap -70 and -83
  List after swap: [-83, -70, -51, -25, 1, 2, 95]

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

Final sorted list: [-83, -70, -51, -25, 1, 2, 95]
</think>

<response>-83, -70, -51, -25, 1, 2, 95</response>


input: Execute bubble sort to sort -80, -75 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-80, -75]

Pass 1:
  Compare -80 and -75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -75]
</think>

<response>-80, -75</response>


input: Carry out the bubble sort algorithm on -20, 94, -82, -59, -14, -62, -88 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-20, 94, -82, -59, -14, -62, -88]

Pass 1:
  Compare -20 and 94
  No swap needed
  Compare 94 and -82
  Swap 94 and -82
  List after swap: [-20, -82, 94, -59, -14, -62, -88]
  Compare 94 and -59
  Swap 94 and -59
  List after swap: [-20, -82, -59, 94, -14, -62, -88]
  Compare 94 and -14
  Swap 94 and -14
  List after swap: [-20, -82, -59, -14, 94, -62, -88]
  Compare 94 and -62
  Swap 94 and -62
  List after swap: [-20, -82, -59, -14, -62, 94, -88]
  Compare 94 and -88
  Swap 94 and -88
  List after swap: [-20, -82, -59, -14, -62, -88, 94]

Pass 2:
  Compare -20 and -82
  Swap -20 and -82
  List after swap: [-82, -20, -59, -14, -62, -88, 94]
  Compare -20 and -59
  Swap -20 and -59
  List after swap: [-82, -59, -20, -14, -62, -88, 94]
  Compare -20 and -14
  No swap needed
  Compare -14 and -62
  Swap -14 and -62
  List after swap: [-82, -59, -20, -62, -14, -88, 94]
  Compare -14 and -88
  Swap -14 and -88
  List after swap: [-82, -59, -20, -62, -88, -14, 94]

Pass 3:
  Compare -82 and -59
  No swap needed
  Compare -59 and -20
  No swap needed
  Compare -20 and -62
  Swap -20 and -62
  List after swap: [-82, -59, -62, -20, -88, -14, 94]
  Compare -20 and -88
  Swap -20 and -88
  List after swap: [-82, -59, -62, -88, -20, -14, 94]

Pass 4:
  Compare -82 and -59
  No swap needed
  Compare -59 and -62
  Swap -59 and -62
  List after swap: [-82, -62, -59, -88, -20, -14, 94]
  Compare -59 and -88
  Swap -59 and -88
  List after swap: [-82, -62, -88, -59, -20, -14, 94]

Pass 5:
  Compare -82 and -62
  No swap needed
  Compare -62 and -88
  Swap -62 and -88
  List after swap: [-82, -88, -62, -59, -20, -14, 94]

Pass 6:
  Compare -82 and -88
  Swap -82 and -88
  List after swap: [-88, -82, -62, -59, -20, -14, 94]

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

Final sorted list: [-88, -82, -62, -59, -20, -14, 94]
</think>

<response>-88, -82, -62, -59, -20, -14, 94</response>


input: Sort these integers -67, -27, 79 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-67, -27, 79]

Pass 1:
  Compare -67 and -27
  No swap needed
  Compare -27 and 79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -27, 79]
</think>

<response>-67, -27, 79</response>


input: Use the bubble sort technique to reorder 45, 23 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [45, 23]

Pass 1:
  Compare 45 and 23
  Swap 45 and 23
  List after swap: [23, 45]

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

Final sorted list: [23, 45]
</think>

<response>23, 45</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 35, -97, -9, 65, 98, 21, 95, -99.

output:
<think>
Initial list: [35, -97, -9, 65, 98, 21, 95, -99]

Pass 1:
  Compare 35 and -97
  Swap 35 and -97
  List after swap: [-97, 35, -9, 65, 98, 21, 95, -99]
  Compare 35 and -9
  Swap 35 and -9
  List after swap: [-97, -9, 35, 65, 98, 21, 95, -99]
  Compare 35 and 65
  No swap needed
  Compare 65 and 98
  No swap needed
  Compare 98 and 21
  Swap 98 and 21
  List after swap: [-97, -9, 35, 65, 21, 98, 95, -99]
  Compare 98 and 95
  Swap 98 and 95
  List after swap: [-97, -9, 35, 65, 21, 95, 98, -99]
  Compare 98 and -99
  Swap 98 and -99
  List after swap: [-97, -9, 35, 65, 21, 95, -99, 98]

Pass 2:
  Compare -97 and -9
  No swap needed
  Compare -9 and 35
  No swap needed
  Compare 35 and 65
  No swap needed
  Compare 65 and 21
  Swap 65 and 21
  List after swap: [-97, -9, 35, 21, 65, 95, -99, 98]
  Compare 65 and 95
  No swap needed
  Compare 95 and -99
  Swap 95 and -99
  List after swap: [-97, -9, 35, 21, 65, -99, 95, 98]

Pass 3:
  Compare -97 and -9
  No swap needed
  Compare -9 and 35
  No swap needed
  Compare 35 and 21
  Swap 35 and 21
  List after swap: [-97, -9, 21, 35, 65, -99, 95, 98]
  Compare 35 and 65
  No swap needed
  Compare 65 and -99
  Swap 65 and -99
  List after swap: [-97, -9, 21, 35, -99, 65, 95, 98]

Pass 4:
  Compare -97 and -9
  No swap needed
  Compare -9 and 21
  No swap needed
  Compare 21 and 35
  No swap needed
  Compare 35 and -99
  Swap 35 and -99
  List after swap: [-97, -9, 21, -99, 35, 65, 95, 98]

Pass 5:
  Compare -97 and -9
  No swap needed
  Compare -9 and 21
  No swap needed
  Compare 21 and -99
  Swap 21 and -99
  List after swap: [-97, -9, -99, 21, 35, 65, 95, 98]

Pass 6:
  Compare -97 and -9
  No swap needed
  Compare -9 and -99
  Swap -9 and -99
  List after swap: [-97, -99, -9, 21, 35, 65, 95, 98]

Pass 7:
  Compare -97 and -99
  Swap -97 and -99
  List after swap: [-99, -97, -9, 21, 35, 65, 95, 98]

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

Final sorted list: [-99, -97, -9, 21, 35, 65, 95, 98]
</think>

<response>-99, -97, -9, 21, 35, 65, 95, 98</response>


input: Arrange the numbers 39, -62, 4, 56, 93 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [39, -62, 4, 56, 93]

Pass 1:
  Compare 39 and -62
  Swap 39 and -62
  List after swap: [-62, 39, 4, 56, 93]
  Compare 39 and 4
  Swap 39 and 4
  List after swap: [-62, 4, 39, 56, 93]
  Compare 39 and 56
  No swap needed
  Compare 56 and 93
  No swap needed

Pass 2:
  Compare -62 and 4
  No swap needed
  Compare 4 and 39
  No swap needed
  Compare 39 and 56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, 4, 39, 56, 93]
</think>

<response>-62, 4, 39, 56, 93</response>


input: Using the bubble sort method, sort -10, -30, -24, -52, 78, 72, 76 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-10, -30, -24, -52, 78, 72, 76]

Pass 1:
  Compare -10 and -30
  Swap -10 and -30
  List after swap: [-30, -10, -24, -52, 78, 72, 76]
  Compare -10 and -24
  Swap -10 and -24
  List after swap: [-30, -24, -10, -52, 78, 72, 76]
  Compare -10 and -52
  Swap -10 and -52
  List after swap: [-30, -24, -52, -10, 78, 72, 76]
  Compare -10 and 78
  No swap needed
  Compare 78 and 72
  Swap 78 and 72
  List after swap: [-30, -24, -52, -10, 72, 78, 76]
  Compare 78 and 76
  Swap 78 and 76
  List after swap: [-30, -24, -52, -10, 72, 76, 78]

Pass 2:
  Compare -30 and -24
  No swap needed
  Compare -24 and -52
  Swap -24 and -52
  List after swap: [-30, -52, -24, -10, 72, 76, 78]
  Compare -24 and -10
  No swap needed
  Compare -10 and 72
  No swap needed
  Compare 72 and 76
  No swap needed

Pass 3:
  Compare -30 and -52
  Swap -30 and -52
  List after swap: [-52, -30, -24, -10, 72, 76, 78]
  Compare -30 and -24
  No swap needed
  Compare -24 and -10
  No swap needed
  Compare -10 and 72
  No swap needed

Pass 4:
  Compare -52 and -30
  No swap needed
  Compare -30 and -24
  No swap needed
  Compare -24 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, -30, -24, -10, 72, 76, 78]
</think>

<response>-52, -30, -24, -10, 72, 76, 78</response>


input: Carry out the bubble sort algorithm on -29, 39, 42, -14, -99, 74, 25, 46, 10 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-29, 39, 42, -14, -99, 74, 25, 46, 10]

Pass 1:
  Compare -29 and 39
  No swap needed
  Compare 39 and 42
  No swap needed
  Compare 42 and -14
  Swap 42 and -14
  List after swap: [-29, 39, -14, 42, -99, 74, 25, 46, 10]
  Compare 42 and -99
  Swap 42 and -99
  List after swap: [-29, 39, -14, -99, 42, 74, 25, 46, 10]
  Compare 42 and 74
  No swap needed
  Compare 74 and 25
  Swap 74 and 25
  List after swap: [-29, 39, -14, -99, 42, 25, 74, 46, 10]
  Compare 74 and 46
  Swap 74 and 46
  List after swap: [-29, 39, -14, -99, 42, 25, 46, 74, 10]
  Compare 74 and 10
  Swap 74 and 10
  List after swap: [-29, 39, -14, -99, 42, 25, 46, 10, 74]

Pass 2:
  Compare -29 and 39
  No swap needed
  Compare 39 and -14
  Swap 39 and -14
  List after swap: [-29, -14, 39, -99, 42, 25, 46, 10, 74]
  Compare 39 and -99
  Swap 39 and -99
  List after swap: [-29, -14, -99, 39, 42, 25, 46, 10, 74]
  Compare 39 and 42
  No swap needed
  Compare 42 and 25
  Swap 42 and 25
  List after swap: [-29, -14, -99, 39, 25, 42, 46, 10, 74]
  Compare 42 and 46
  No swap needed
  Compare 46 and 10
  Swap 46 and 10
  List after swap: [-29, -14, -99, 39, 25, 42, 10, 46, 74]

Pass 3:
  Compare -29 and -14
  No swap needed
  Compare -14 and -99
  Swap -14 and -99
  List after swap: [-29, -99, -14, 39, 25, 42, 10, 46, 74]
  Compare -14 and 39
  No swap needed
  Compare 39 and 25
  Swap 39 and 25
  List after swap: [-29, -99, -14, 25, 39, 42, 10, 46, 74]
  Compare 39 and 42
  No swap needed
  Compare 42 and 10
  Swap 42 and 10
  List after swap: [-29, -99, -14, 25, 39, 10, 42, 46, 74]

Pass 4:
  Compare -29 and -99
  Swap -29 and -99
  List after swap: [-99, -29, -14, 25, 39, 10, 42, 46, 74]
  Compare -29 and -14
  No swap needed
  Compare -14 and 25
  No swap needed
  Compare 25 and 39
  No swap needed
  Compare 39 and 10
  Swap 39 and 10
  List after swap: [-99, -29, -14, 25, 10, 39, 42, 46, 74]

Pass 5:
  Compare -99 and -29
  No swap needed
  Compare -29 and -14
  No swap needed
  Compare -14 and 25
  No swap needed
  Compare 25 and 10
  Swap 25 and 10
  List after swap: [-99, -29, -14, 10, 25, 39, 42, 46, 74]

Pass 6:
  Compare -99 and -29
  No swap needed
  Compare -29 and -14
  No swap needed
  Compare -14 and 10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -29, -14, 10, 25, 39, 42, 46, 74]
</think>

<response>-99, -29, -14, 10, 25, 39, 42, 46, 74</response>


input: Implement bubble sort on -43, 49, -62 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-43, 49, -62]

Pass 1:
  Compare -43 and 49
  No swap needed
  Compare 49 and -62
  Swap 49 and -62
  List after swap: [-43, -62, 49]

Pass 2:
  Compare -43 and -62
  Swap -43 and -62
  List after swap: [-62, -43, 49]

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

Final sorted list: [-62, -43, 49]
</think>

<response>-62, -43, 49</response>


input: Sort the list 67, 90, 18 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [67, 90, 18]

Pass 1:
  Compare 67 and 90
  No swap needed
  Compare 90 and 18
  Swap 90 and 18
  List after swap: [67, 18, 90]

Pass 2:
  Compare 67 and 18
  Swap 67 and 18
  List after swap: [18, 67, 90]

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

Final sorted list: [18, 67, 90]
</think>

<response>18, 67, 90</response>


input: Sort the list 65, -2, -35 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [65, -2, -35]

Pass 1:
  Compare 65 and -2
  Swap 65 and -2
  List after swap: [-2, 65, -35]
  Compare 65 and -35
  Swap 65 and -35
  List after swap: [-2, -35, 65]

Pass 2:
  Compare -2 and -35
  Swap -2 and -35
  List after swap: [-35, -2, 65]

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

Final sorted list: [-35, -2, 65]
</think>

<response>-35, -2, 65</response>


input: Arrange the numbers -33, -68, -60, -63, -74, -94, -27, 66 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-33, -68, -60, -63, -74, -94, -27, 66]

Pass 1:
  Compare -33 and -68
  Swap -33 and -68
  List after swap: [-68, -33, -60, -63, -74, -94, -27, 66]
  Compare -33 and -60
  Swap -33 and -60
  List after swap: [-68, -60, -33, -63, -74, -94, -27, 66]
  Compare -33 and -63
  Swap -33 and -63
  List after swap: [-68, -60, -63, -33, -74, -94, -27, 66]
  Compare -33 and -74
  Swap -33 and -74
  List after swap: [-68, -60, -63, -74, -33, -94, -27, 66]
  Compare -33 and -94
  Swap -33 and -94
  List after swap: [-68, -60, -63, -74, -94, -33, -27, 66]
  Compare -33 and -27
  No swap needed
  Compare -27 and 66
  No swap needed

Pass 2:
  Compare -68 and -60
  No swap needed
  Compare -60 and -63
  Swap -60 and -63
  List after swap: [-68, -63, -60, -74, -94, -33, -27, 66]
  Compare -60 and -74
  Swap -60 and -74
  List after swap: [-68, -63, -74, -60, -94, -33, -27, 66]
  Compare -60 and -94
  Swap -60 and -94
  List after swap: [-68, -63, -74, -94, -60, -33, -27, 66]
  Compare -60 and -33
  No swap needed
  Compare -33 and -27
  No swap needed

Pass 3:
  Compare -68 and -63
  No swap needed
  Compare -63 and -74
  Swap -63 and -74
  List after swap: [-68, -74, -63, -94, -60, -33, -27, 66]
  Compare -63 and -94
  Swap -63 and -94
  List after swap: [-68, -74, -94, -63, -60, -33, -27, 66]
  Compare -63 and -60
  No swap needed
  Compare -60 and -33
  No swap needed

Pass 4:
  Compare -68 and -74
  Swap -68 and -74
  List after swap: [-74, -68, -94, -63, -60, -33, -27, 66]
  Compare -68 and -94
  Swap -68 and -94
  List after swap: [-74, -94, -68, -63, -60, -33, -27, 66]
  Compare -68 and -63
  No swap needed
  Compare -63 and -60
  No swap needed

Pass 5:
  Compare -74 and -94
  Swap -74 and -94
  List after swap: [-94, -74, -68, -63, -60, -33, -27, 66]
  Compare -74 and -68
  No swap needed
  Compare -68 and -63
  No swap needed

Pass 6:
  Compare -94 and -74
  No swap needed
  Compare -74 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -74, -68, -63, -60, -33, -27, 66]
</think>

<response>-94, -74, -68, -63, -60, -33, -27, 66</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -65, -66, 55.

output:
<think>
Initial list: [-65, -66, 55]

Pass 1:
  Compare -65 and -66
  Swap -65 and -66
  List after swap: [-66, -65, 55]
  Compare -65 and 55
  No swap needed

Pass 2:
  Compare -66 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -65, 55]
</think>

<response>-66, -65, 55</response>


input: Arrange the numbers -61, 47, -19, 98, -43, 59, -26, 69, -13 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-61, 47, -19, 98, -43, 59, -26, 69, -13]

Pass 1:
  Compare -61 and 47
  No swap needed
  Compare 47 and -19
  Swap 47 and -19
  List after swap: [-61, -19, 47, 98, -43, 59, -26, 69, -13]
  Compare 47 and 98
  No swap needed
  Compare 98 and -43
  Swap 98 and -43
  List after swap: [-61, -19, 47, -43, 98, 59, -26, 69, -13]
  Compare 98 and 59
  Swap 98 and 59
  List after swap: [-61, -19, 47, -43, 59, 98, -26, 69, -13]
  Compare 98 and -26
  Swap 98 and -26
  List after swap: [-61, -19, 47, -43, 59, -26, 98, 69, -13]
  Compare 98 and 69
  Swap 98 and 69
  List after swap: [-61, -19, 47, -43, 59, -26, 69, 98, -13]
  Compare 98 and -13
  Swap 98 and -13
  List after swap: [-61, -19, 47, -43, 59, -26, 69, -13, 98]

Pass 2:
  Compare -61 and -19
  No swap needed
  Compare -19 and 47
  No swap needed
  Compare 47 and -43
  Swap 47 and -43
  List after swap: [-61, -19, -43, 47, 59, -26, 69, -13, 98]
  Compare 47 and 59
  No swap needed
  Compare 59 and -26
  Swap 59 and -26
  List after swap: [-61, -19, -43, 47, -26, 59, 69, -13, 98]
  Compare 59 and 69
  No swap needed
  Compare 69 and -13
  Swap 69 and -13
  List after swap: [-61, -19, -43, 47, -26, 59, -13, 69, 98]

Pass 3:
  Compare -61 and -19
  No swap needed
  Compare -19 and -43
  Swap -19 and -43
  List after swap: [-61, -43, -19, 47, -26, 59, -13, 69, 98]
  Compare -19 and 47
  No swap needed
  Compare 47 and -26
  Swap 47 and -26
  List after swap: [-61, -43, -19, -26, 47, 59, -13, 69, 98]
  Compare 47 and 59
  No swap needed
  Compare 59 and -13
  Swap 59 and -13
  List after swap: [-61, -43, -19, -26, 47, -13, 59, 69, 98]

Pass 4:
  Compare -61 and -43
  No swap needed
  Compare -43 and -19
  No swap needed
  Compare -19 and -26
  Swap -19 and -26
  List after swap: [-61, -43, -26, -19, 47, -13, 59, 69, 98]
  Compare -19 and 47
  No swap needed
  Compare 47 and -13
  Swap 47 and -13
  List after swap: [-61, -43, -26, -19, -13, 47, 59, 69, 98]

Pass 5:
  Compare -61 and -43
  No swap needed
  Compare -43 and -26
  No swap needed
  Compare -26 and -19
  No swap needed
  Compare -19 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -43, -26, -19, -13, 47, 59, 69, 98]
</think>

<response>-61, -43, -26, -19, -13, 47, 59, 69, 98</response>


input: Implement bubble sort on 83, 62, -1, -61 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [83, 62, -1, -61]

Pass 1:
  Compare 83 and 62
  Swap 83 and 62
  List after swap: [62, 83, -1, -61]
  Compare 83 and -1
  Swap 83 and -1
  List after swap: [62, -1, 83, -61]
  Compare 83 and -61
  Swap 83 and -61
  List after swap: [62, -1, -61, 83]

Pass 2:
  Compare 62 and -1
  Swap 62 and -1
  List after swap: [-1, 62, -61, 83]
  Compare 62 and -61
  Swap 62 and -61
  List after swap: [-1, -61, 62, 83]

Pass 3:
  Compare -1 and -61
  Swap -1 and -61
  List after swap: [-61, -1, 62, 83]

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

Final sorted list: [-61, -1, 62, 83]
</think>

<response>-61, -1, 62, 83</response>


input: Sort the list -7, 39, 19, -1, 23, 87, 41, -79, -90, 18 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-7, 39, 19, -1, 23, 87, 41, -79, -90, 18]

Pass 1:
  Compare -7 and 39
  No swap needed
  Compare 39 and 19
  Swap 39 and 19
  List after swap: [-7, 19, 39, -1, 23, 87, 41, -79, -90, 18]
  Compare 39 and -1
  Swap 39 and -1
  List after swap: [-7, 19, -1, 39, 23, 87, 41, -79, -90, 18]
  Compare 39 and 23
  Swap 39 and 23
  List after swap: [-7, 19, -1, 23, 39, 87, 41, -79, -90, 18]
  Compare 39 and 87
  No swap needed
  Compare 87 and 41
  Swap 87 and 41
  List after swap: [-7, 19, -1, 23, 39, 41, 87, -79, -90, 18]
  Compare 87 and -79
  Swap 87 and -79
  List after swap: [-7, 19, -1, 23, 39, 41, -79, 87, -90, 18]
  Compare 87 and -90
  Swap 87 and -90
  List after swap: [-7, 19, -1, 23, 39, 41, -79, -90, 87, 18]
  Compare 87 and 18
  Swap 87 and 18
  List after swap: [-7, 19, -1, 23, 39, 41, -79, -90, 18, 87]

Pass 2:
  Compare -7 and 19
  No swap needed
  Compare 19 and -1
  Swap 19 and -1
  List after swap: [-7, -1, 19, 23, 39, 41, -79, -90, 18, 87]
  Compare 19 and 23
  No swap needed
  Compare 23 and 39
  No swap needed
  Compare 39 and 41
  No swap needed
  Compare 41 and -79
  Swap 41 and -79
  List after swap: [-7, -1, 19, 23, 39, -79, 41, -90, 18, 87]
  Compare 41 and -90
  Swap 41 and -90
  List after swap: [-7, -1, 19, 23, 39, -79, -90, 41, 18, 87]
  Compare 41 and 18
  Swap 41 and 18
  List after swap: [-7, -1, 19, 23, 39, -79, -90, 18, 41, 87]

Pass 3:
  Compare -7 and -1
  No swap needed
  Compare -1 and 19
  No swap needed
  Compare 19 and 23
  No swap needed
  Compare 23 and 39
  No swap needed
  Compare 39 and -79
  Swap 39 and -79
  List after swap: [-7, -1, 19, 23, -79, 39, -90, 18, 41, 87]
  Compare 39 and -90
  Swap 39 and -90
  List after swap: [-7, -1, 19, 23, -79, -90, 39, 18, 41, 87]
  Compare 39 and 18
  Swap 39 and 18
  List after swap: [-7, -1, 19, 23, -79, -90, 18, 39, 41, 87]

Pass 4:
  Compare -7 and -1
  No swap needed
  Compare -1 and 19
  No swap needed
  Compare 19 and 23
  No swap needed
  Compare 23 and -79
  Swap 23 and -79
  List after swap: [-7, -1, 19, -79, 23, -90, 18, 39, 41, 87]
  Compare 23 and -90
  Swap 23 and -90
  List after swap: [-7, -1, 19, -79, -90, 23, 18, 39, 41, 87]
  Compare 23 and 18
  Swap 23 and 18
  List after swap: [-7, -1, 19, -79, -90, 18, 23, 39, 41, 87]

Pass 5:
  Compare -7 and -1
  No swap needed
  Compare -1 and 19
  No swap needed
  Compare 19 and -79
  Swap 19 and -79
  List after swap: [-7, -1, -79, 19, -90, 18, 23, 39, 41, 87]
  Compare 19 and -90
  Swap 19 and -90
  List after swap: [-7, -1, -79, -90, 19, 18, 23, 39, 41, 87]
  Compare 19 and 18
  Swap 19 and 18
  List after swap: [-7, -1, -79, -90, 18, 19, 23, 39, 41, 87]

Pass 6:
  Compare -7 and -1
  No swap needed
  Compare -1 and -79
  Swap -1 and -79
  List after swap: [-7, -79, -1, -90, 18, 19, 23, 39, 41, 87]
  Compare -1 and -90
  Swap -1 and -90
  List after swap: [-7, -79, -90, -1, 18, 19, 23, 39, 41, 87]
  Compare -1 and 18
  No swap needed

Pass 7:
  Compare -7 and -79
  Swap -7 and -79
  List after swap: [-79, -7, -90, -1, 18, 19, 23, 39, 41, 87]
  Compare -7 and -90
  Swap -7 and -90
  List after swap: [-79, -90, -7, -1, 18, 19, 23, 39, 41, 87]
  Compare -7 and -1
  No swap needed

Pass 8:
  Compare -79 and -90
  Swap -79 and -90
  List after swap: [-90, -79, -7, -1, 18, 19, 23, 39, 41, 87]
  Compare -79 and -7
  No swap needed

Pass 9:
  Compare -90 and -79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -79, -7, -1, 18, 19, 23, 39, 41, 87]
</think>

<response>-90, -79, -7, -1, 18, 19, 23, 39, 41, 87</response>


input: Use the bubble sort technique to reorder -7, 16, 73, 98, 60, 53, -39, 49, 71, -24 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-7, 16, 73, 98, 60, 53, -39, 49, 71, -24]

Pass 1:
  Compare -7 and 16
  No swap needed
  Compare 16 and 73
  No swap needed
  Compare 73 and 98
  No swap needed
  Compare 98 and 60
  Swap 98 and 60
  List after swap: [-7, 16, 73, 60, 98, 53, -39, 49, 71, -24]
  Compare 98 and 53
  Swap 98 and 53
  List after swap: [-7, 16, 73, 60, 53, 98, -39, 49, 71, -24]
  Compare 98 and -39
  Swap 98 and -39
  List after swap: [-7, 16, 73, 60, 53, -39, 98, 49, 71, -24]
  Compare 98 and 49
  Swap 98 and 49
  List after swap: [-7, 16, 73, 60, 53, -39, 49, 98, 71, -24]
  Compare 98 and 71
  Swap 98 and 71
  List after swap: [-7, 16, 73, 60, 53, -39, 49, 71, 98, -24]
  Compare 98 and -24
  Swap 98 and -24
  List after swap: [-7, 16, 73, 60, 53, -39, 49, 71, -24, 98]

Pass 2:
  Compare -7 and 16
  No swap needed
  Compare 16 and 73
  No swap needed
  Compare 73 and 60
  Swap 73 and 60
  List after swap: [-7, 16, 60, 73, 53, -39, 49, 71, -24, 98]
  Compare 73 and 53
  Swap 73 and 53
  List after swap: [-7, 16, 60, 53, 73, -39, 49, 71, -24, 98]
  Compare 73 and -39
  Swap 73 and -39
  List after swap: [-7, 16, 60, 53, -39, 73, 49, 71, -24, 98]
  Compare 73 and 49
  Swap 73 and 49
  List after swap: [-7, 16, 60, 53, -39, 49, 73, 71, -24, 98]
  Compare 73 and 71
  Swap 73 and 71
  List after swap: [-7, 16, 60, 53, -39, 49, 71, 73, -24, 98]
  Compare 73 and -24
  Swap 73 and -24
  List after swap: [-7, 16, 60, 53, -39, 49, 71, -24, 73, 98]

Pass 3:
  Compare -7 and 16
  No swap needed
  Compare 16 and 60
  No swap needed
  Compare 60 and 53
  Swap 60 and 53
  List after swap: [-7, 16, 53, 60, -39, 49, 71, -24, 73, 98]
  Compare 60 and -39
  Swap 60 and -39
  List after swap: [-7, 16, 53, -39, 60, 49, 71, -24, 73, 98]
  Compare 60 and 49
  Swap 60 and 49
  List after swap: [-7, 16, 53, -39, 49, 60, 71, -24, 73, 98]
  Compare 60 and 71
  No swap needed
  Compare 71 and -24
  Swap 71 and -24
  List after swap: [-7, 16, 53, -39, 49, 60, -24, 71, 73, 98]

Pass 4:
  Compare -7 and 16
  No swap needed
  Compare 16 and 53
  No swap needed
  Compare 53 and -39
  Swap 53 and -39
  List after swap: [-7, 16, -39, 53, 49, 60, -24, 71, 73, 98]
  Compare 53 and 49
  Swap 53 and 49
  List after swap: [-7, 16, -39, 49, 53, 60, -24, 71, 73, 98]
  Compare 53 and 60
  No swap needed
  Compare 60 and -24
  Swap 60 and -24
  List after swap: [-7, 16, -39, 49, 53, -24, 60, 71, 73, 98]

Pass 5:
  Compare -7 and 16
  No swap needed
  Compare 16 and -39
  Swap 16 and -39
  List after swap: [-7, -39, 16, 49, 53, -24, 60, 71, 73, 98]
  Compare 16 and 49
  No swap needed
  Compare 49 and 53
  No swap needed
  Compare 53 and -24
  Swap 53 and -24
  List after swap: [-7, -39, 16, 49, -24, 53, 60, 71, 73, 98]

Pass 6:
  Compare -7 and -39
  Swap -7 and -39
  List after swap: [-39, -7, 16, 49, -24, 53, 60, 71, 73, 98]
  Compare -7 and 16
  No swap needed
  Compare 16 and 49
  No swap needed
  Compare 49 and -24
  Swap 49 and -24
  List after swap: [-39, -7, 16, -24, 49, 53, 60, 71, 73, 98]

Pass 7:
  Compare -39 and -7
  No swap needed
  Compare -7 and 16
  No swap needed
  Compare 16 and -24
  Swap 16 and -24
  List after swap: [-39, -7, -24, 16, 49, 53, 60, 71, 73, 98]

Pass 8:
  Compare -39 and -7
  No swap needed
  Compare -7 and -24
  Swap -7 and -24
  List after swap: [-39, -24, -7, 16, 49, 53, 60, 71, 73, 98]

Pass 9:
  Compare -39 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-39, -24, -7, 16, 49, 53, 60, 71, 73, 98]
</think>

<response>-39, -24, -7, 16, 49, 53, 60, 71, 73, 98</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -97, -2, 19, -18, 90, -25, 75, 3.

output:
<think>
Initial list: [-97, -2, 19, -18, 90, -25, 75, 3]

Pass 1:
  Compare -97 and -2
  No swap needed
  Compare -2 and 19
  No swap needed
  Compare 19 and -18
  Swap 19 and -18
  List after swap: [-97, -2, -18, 19, 90, -25, 75, 3]
  Compare 19 and 90
  No swap needed
  Compare 90 and -25
  Swap 90 and -25
  List after swap: [-97, -2, -18, 19, -25, 90, 75, 3]
  Compare 90 and 75
  Swap 90 and 75
  List after swap: [-97, -2, -18, 19, -25, 75, 90, 3]
  Compare 90 and 3
  Swap 90 and 3
  List after swap: [-97, -2, -18, 19, -25, 75, 3, 90]

Pass 2:
  Compare -97 and -2
  No swap needed
  Compare -2 and -18
  Swap -2 and -18
  List after swap: [-97, -18, -2, 19, -25, 75, 3, 90]
  Compare -2 and 19
  No swap needed
  Compare 19 and -25
  Swap 19 and -25
  List after swap: [-97, -18, -2, -25, 19, 75, 3, 90]
  Compare 19 and 75
  No swap needed
  Compare 75 and 3
  Swap 75 and 3
  List after swap: [-97, -18, -2, -25, 19, 3, 75, 90]

Pass 3:
  Compare -97 and -18
  No swap needed
  Compare -18 and -2
  No swap needed
  Compare -2 and -25
  Swap -2 and -25
  List after swap: [-97, -18, -25, -2, 19, 3, 75, 90]
  Compare -2 and 19
  No swap needed
  Compare 19 and 3
  Swap 19 and 3
  List after swap: [-97, -18, -25, -2, 3, 19, 75, 90]

Pass 4:
  Compare -97 and -18
  No swap needed
  Compare -18 and -25
  Swap -18 and -25
  List after swap: [-97, -25, -18, -2, 3, 19, 75, 90]
  Compare -18 and -2
  No swap needed
  Compare -2 and 3
  No swap needed

Pass 5:
  Compare -97 and -25
  No swap needed
  Compare -25 and -18
  No swap needed
  Compare -18 and -2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -25, -18, -2, 3, 19, 75, 90]
</think>

<response>-97, -25, -18, -2, 3, 19, 75, 90</response>


input: Execute bubble sort to sort -54, 97, 23, -68, -88 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-54, 97, 23, -68, -88]

Pass 1:
  Compare -54 and 97
  No swap needed
  Compare 97 and 23
  Swap 97 and 23
  List after swap: [-54, 23, 97, -68, -88]
  Compare 97 and -68
  Swap 97 and -68
  List after swap: [-54, 23, -68, 97, -88]
  Compare 97 and -88
  Swap 97 and -88
  List after swap: [-54, 23, -68, -88, 97]

Pass 2:
  Compare -54 and 23
  No swap needed
  Compare 23 and -68
  Swap 23 and -68
  List after swap: [-54, -68, 23, -88, 97]
  Compare 23 and -88
  Swap 23 and -88
  List after swap: [-54, -68, -88, 23, 97]

Pass 3:
  Compare -54 and -68
  Swap -54 and -68
  List after swap: [-68, -54, -88, 23, 97]
  Compare -54 and -88
  Swap -54 and -88
  List after swap: [-68, -88, -54, 23, 97]

Pass 4:
  Compare -68 and -88
  Swap -68 and -88
  List after swap: [-88, -68, -54, 23, 97]

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

Final sorted list: [-88, -68, -54, 23, 97]
</think>

<response>-88, -68, -54, 23, 97</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -29, 53, -44, -32, -51, 61, -55, 50.

output:
<think>
Initial list: [-29, 53, -44, -32, -51, 61, -55, 50]

Pass 1:
  Compare -29 and 53
  No swap needed
  Compare 53 and -44
  Swap 53 and -44
  List after swap: [-29, -44, 53, -32, -51, 61, -55, 50]
  Compare 53 and -32
  Swap 53 and -32
  List after swap: [-29, -44, -32, 53, -51, 61, -55, 50]
  Compare 53 and -51
  Swap 53 and -51
  List after swap: [-29, -44, -32, -51, 53, 61, -55, 50]
  Compare 53 and 61
  No swap needed
  Compare 61 and -55
  Swap 61 and -55
  List after swap: [-29, -44, -32, -51, 53, -55, 61, 50]
  Compare 61 and 50
  Swap 61 and 50
  List after swap: [-29, -44, -32, -51, 53, -55, 50, 61]

Pass 2:
  Compare -29 and -44
  Swap -29 and -44
  List after swap: [-44, -29, -32, -51, 53, -55, 50, 61]
  Compare -29 and -32
  Swap -29 and -32
  List after swap: [-44, -32, -29, -51, 53, -55, 50, 61]
  Compare -29 and -51
  Swap -29 and -51
  List after swap: [-44, -32, -51, -29, 53, -55, 50, 61]
  Compare -29 and 53
  No swap needed
  Compare 53 and -55
  Swap 53 and -55
  List after swap: [-44, -32, -51, -29, -55, 53, 50, 61]
  Compare 53 and 50
  Swap 53 and 50
  List after swap: [-44, -32, -51, -29, -55, 50, 53, 61]

Pass 3:
  Compare -44 and -32
  No swap needed
  Compare -32 and -51
  Swap -32 and -51
  List after swap: [-44, -51, -32, -29, -55, 50, 53, 61]
  Compare -32 and -29
  No swap needed
  Compare -29 and -55
  Swap -29 and -55
  List after swap: [-44, -51, -32, -55, -29, 50, 53, 61]
  Compare -29 and 50
  No swap needed

Pass 4:
  Compare -44 and -51
  Swap -44 and -51
  List after swap: [-51, -44, -32, -55, -29, 50, 53, 61]
  Compare -44 and -32
  No swap needed
  Compare -32 and -55
  Swap -32 and -55
  List after swap: [-51, -44, -55, -32, -29, 50, 53, 61]
  Compare -32 and -29
  No swap needed

Pass 5:
  Compare -51 and -44
  No swap needed
  Compare -44 and -55
  Swap -44 and -55
  List after swap: [-51, -55, -44, -32, -29, 50, 53, 61]
  Compare -44 and -32
  No swap needed

Pass 6:
  Compare -51 and -55
  Swap -51 and -55
  List after swap: [-55, -51, -44, -32, -29, 50, 53, 61]
  Compare -51 and -44
  No swap needed

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

Final sorted list: [-55, -51, -44, -32, -29, 50, 53, 61]
</think>

<response>-55, -51, -44, -32, -29, 50, 53, 61</response>


input: Sort the list -72, 65, -69 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-72, 65, -69]

Pass 1:
  Compare -72 and 65
  No swap needed
  Compare 65 and -69
  Swap 65 and -69
  List after swap: [-72, -69, 65]

Pass 2:
  Compare -72 and -69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -69, 65]
</think>

<response>-72, -69, 65</response>


input: Carry out the bubble sort algorithm on -97, -32, -92, 78, 35, 71, 37, 57, 8, -40 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-97, -32, -92, 78, 35, 71, 37, 57, 8, -40]

Pass 1:
  Compare -97 and -32
  No swap needed
  Compare -32 and -92
  Swap -32 and -92
  List after swap: [-97, -92, -32, 78, 35, 71, 37, 57, 8, -40]
  Compare -32 and 78
  No swap needed
  Compare 78 and 35
  Swap 78 and 35
  List after swap: [-97, -92, -32, 35, 78, 71, 37, 57, 8, -40]
  Compare 78 and 71
  Swap 78 and 71
  List after swap: [-97, -92, -32, 35, 71, 78, 37, 57, 8, -40]
  Compare 78 and 37
  Swap 78 and 37
  List after swap: [-97, -92, -32, 35, 71, 37, 78, 57, 8, -40]
  Compare 78 and 57
  Swap 78 and 57
  List after swap: [-97, -92, -32, 35, 71, 37, 57, 78, 8, -40]
  Compare 78 and 8
  Swap 78 and 8
  List after swap: [-97, -92, -32, 35, 71, 37, 57, 8, 78, -40]
  Compare 78 and -40
  Swap 78 and -40
  List after swap: [-97, -92, -32, 35, 71, 37, 57, 8, -40, 78]

Pass 2:
  Compare -97 and -92
  No swap needed
  Compare -92 and -32
  No swap needed
  Compare -32 and 35
  No swap needed
  Compare 35 and 71
  No swap needed
  Compare 71 and 37
  Swap 71 and 37
  List after swap: [-97, -92, -32, 35, 37, 71, 57, 8, -40, 78]
  Compare 71 and 57
  Swap 71 and 57
  List after swap: [-97, -92, -32, 35, 37, 57, 71, 8, -40, 78]
  Compare 71 and 8
  Swap 71 and 8
  List after swap: [-97, -92, -32, 35, 37, 57, 8, 71, -40, 78]
  Compare 71 and -40
  Swap 71 and -40
  List after swap: [-97, -92, -32, 35, 37, 57, 8, -40, 71, 78]

Pass 3:
  Compare -97 and -92
  No swap needed
  Compare -92 and -32
  No swap needed
  Compare -32 and 35
  No swap needed
  Compare 35 and 37
  No swap needed
  Compare 37 and 57
  No swap needed
  Compare 57 and 8
  Swap 57 and 8
  List after swap: [-97, -92, -32, 35, 37, 8, 57, -40, 71, 78]
  Compare 57 and -40
  Swap 57 and -40
  List after swap: [-97, -92, -32, 35, 37, 8, -40, 57, 71, 78]

Pass 4:
  Compare -97 and -92
  No swap needed
  Compare -92 and -32
  No swap needed
  Compare -32 and 35
  No swap needed
  Compare 35 and 37
  No swap needed
  Compare 37 and 8
  Swap 37 and 8
  List after swap: [-97, -92, -32, 35, 8, 37, -40, 57, 71, 78]
  Compare 37 and -40
  Swap 37 and -40
  List after swap: [-97, -92, -32, 35, 8, -40, 37, 57, 71, 78]

Pass 5:
  Compare -97 and -92
  No swap needed
  Compare -92 and -32
  No swap needed
  Compare -32 and 35
  No swap needed
  Compare 35 and 8
  Swap 35 and 8
  List after swap: [-97, -92, -32, 8, 35, -40, 37, 57, 71, 78]
  Compare 35 and -40
  Swap 35 and -40
  List after swap: [-97, -92, -32, 8, -40, 35, 37, 57, 71, 78]

Pass 6:
  Compare -97 and -92
  No swap needed
  Compare -92 and -32
  No swap needed
  Compare -32 and 8
  No swap needed
  Compare 8 and -40
  Swap 8 and -40
  List after swap: [-97, -92, -32, -40, 8, 35, 37, 57, 71, 78]

Pass 7:
  Compare -97 and -92
  No swap needed
  Compare -92 and -32
  No swap needed
  Compare -32 and -40
  Swap -32 and -40
  List after swap: [-97, -92, -40, -32, 8, 35, 37, 57, 71, 78]

Pass 8:
  Compare -97 and -92
  No swap needed
  Compare -92 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -92, -40, -32, 8, 35, 37, 57, 71, 78]
</think>

<response>-97, -92, -40, -32, 8, 35, 37, 57, 71, 78</response>


input: Carry out the bubble sort algorithm on -24, -14, 11, 16, -61, 73 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-24, -14, 11, 16, -61, 73]

Pass 1:
  Compare -24 and -14
  No swap needed
  Compare -14 and 11
  No swap needed
  Compare 11 and 16
  No swap needed
  Compare 16 and -61
  Swap 16 and -61
  List after swap: [-24, -14, 11, -61, 16, 73]
  Compare 16 and 73
  No swap needed

Pass 2:
  Compare -24 and -14
  No swap needed
  Compare -14 and 11
  No swap needed
  Compare 11 and -61
  Swap 11 and -61
  List after swap: [-24, -14, -61, 11, 16, 73]
  Compare 11 and 16
  No swap needed

Pass 3:
  Compare -24 and -14
  No swap needed
  Compare -14 and -61
  Swap -14 and -61
  List after swap: [-24, -61, -14, 11, 16, 73]
  Compare -14 and 11
  No swap needed

Pass 4:
  Compare -24 and -61
  Swap -24 and -61
  List after swap: [-61, -24, -14, 11, 16, 73]
  Compare -24 and -14
  No swap needed

Pass 5:
  Compare -61 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -24, -14, 11, 16, 73]
</think>

<response>-61, -24, -14, 11, 16, 73</response>


input: Arrange the numbers 88, 63, -53, -92, 49, -78, -100, 84, 28, -77 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [88, 63, -53, -92, 49, -78, -100, 84, 28, -77]

Pass 1:
  Compare 88 and 63
  Swap 88 and 63
  List after swap: [63, 88, -53, -92, 49, -78, -100, 84, 28, -77]
  Compare 88 and -53
  Swap 88 and -53
  List after swap: [63, -53, 88, -92, 49, -78, -100, 84, 28, -77]
  Compare 88 and -92
  Swap 88 and -92
  List after swap: [63, -53, -92, 88, 49, -78, -100, 84, 28, -77]
  Compare 88 and 49
  Swap 88 and 49
  List after swap: [63, -53, -92, 49, 88, -78, -100, 84, 28, -77]
  Compare 88 and -78
  Swap 88 and -78
  List after swap: [63, -53, -92, 49, -78, 88, -100, 84, 28, -77]
  Compare 88 and -100
  Swap 88 and -100
  List after swap: [63, -53, -92, 49, -78, -100, 88, 84, 28, -77]
  Compare 88 and 84
  Swap 88 and 84
  List after swap: [63, -53, -92, 49, -78, -100, 84, 88, 28, -77]
  Compare 88 and 28
  Swap 88 and 28
  List after swap: [63, -53, -92, 49, -78, -100, 84, 28, 88, -77]
  Compare 88 and -77
  Swap 88 and -77
  List after swap: [63, -53, -92, 49, -78, -100, 84, 28, -77, 88]

Pass 2:
  Compare 63 and -53
  Swap 63 and -53
  List after swap: [-53, 63, -92, 49, -78, -100, 84, 28, -77, 88]
  Compare 63 and -92
  Swap 63 and -92
  List after swap: [-53, -92, 63, 49, -78, -100, 84, 28, -77, 88]
  Compare 63 and 49
  Swap 63 and 49
  List after swap: [-53, -92, 49, 63, -78, -100, 84, 28, -77, 88]
  Compare 63 and -78
  Swap 63 and -78
  List after swap: [-53, -92, 49, -78, 63, -100, 84, 28, -77, 88]
  Compare 63 and -100
  Swap 63 and -100
  List after swap: [-53, -92, 49, -78, -100, 63, 84, 28, -77, 88]
  Compare 63 and 84
  No swap needed
  Compare 84 and 28
  Swap 84 and 28
  List after swap: [-53, -92, 49, -78, -100, 63, 28, 84, -77, 88]
  Compare 84 and -77
  Swap 84 and -77
  List after swap: [-53, -92, 49, -78, -100, 63, 28, -77, 84, 88]

Pass 3:
  Compare -53 and -92
  Swap -53 and -92
  List after swap: [-92, -53, 49, -78, -100, 63, 28, -77, 84, 88]
  Compare -53 and 49
  No swap needed
  Compare 49 and -78
  Swap 49 and -78
  List after swap: [-92, -53, -78, 49, -100, 63, 28, -77, 84, 88]
  Compare 49 and -100
  Swap 49 and -100
  List after swap: [-92, -53, -78, -100, 49, 63, 28, -77, 84, 88]
  Compare 49 and 63
  No swap needed
  Compare 63 and 28
  Swap 63 and 28
  List after swap: [-92, -53, -78, -100, 49, 28, 63, -77, 84, 88]
  Compare 63 and -77
  Swap 63 and -77
  List after swap: [-92, -53, -78, -100, 49, 28, -77, 63, 84, 88]

Pass 4:
  Compare -92 and -53
  No swap needed
  Compare -53 and -78
  Swap -53 and -78
  List after swap: [-92, -78, -53, -100, 49, 28, -77, 63, 84, 88]
  Compare -53 and -100
  Swap -53 and -100
  List after swap: [-92, -78, -100, -53, 49, 28, -77, 63, 84, 88]
  Compare -53 and 49
  No swap needed
  Compare 49 and 28
  Swap 49 and 28
  List after swap: [-92, -78, -100, -53, 28, 49, -77, 63, 84, 88]
  Compare 49 and -77
  Swap 49 and -77
  List after swap: [-92, -78, -100, -53, 28, -77, 49, 63, 84, 88]

Pass 5:
  Compare -92 and -78
  No swap needed
  Compare -78 and -100
  Swap -78 and -100
  List after swap: [-92, -100, -78, -53, 28, -77, 49, 63, 84, 88]
  Compare -78 and -53
  No swap needed
  Compare -53 and 28
  No swap needed
  Compare 28 and -77
  Swap 28 and -77
  List after swap: [-92, -100, -78, -53, -77, 28, 49, 63, 84, 88]

Pass 6:
  Compare -92 and -100
  Swap -92 and -100
  List after swap: [-100, -92, -78, -53, -77, 28, 49, 63, 84, 88]
  Compare -92 and -78
  No swap needed
  Compare -78 and -53
  No swap needed
  Compare -53 and -77
  Swap -53 and -77
  List after swap: [-100, -92, -78, -77, -53, 28, 49, 63, 84, 88]

Pass 7:
  Compare -100 and -92
  No swap needed
  Compare -92 and -78
  No swap needed
  Compare -78 and -77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -92, -78, -77, -53, 28, 49, 63, 84, 88]
</think>

<response>-100, -92, -78, -77, -53, 28, 49, 63, 84, 88</response>


input: Execute bubble sort to sort -52, -90, -79, -85 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-52, -90, -79, -85]

Pass 1:
  Compare -52 and -90
  Swap -52 and -90
  List after swap: [-90, -52, -79, -85]
  Compare -52 and -79
  Swap -52 and -79
  List after swap: [-90, -79, -52, -85]
  Compare -52 and -85
  Swap -52 and -85
  List after swap: [-90, -79, -85, -52]

Pass 2:
  Compare -90 and -79
  No swap needed
  Compare -79 and -85
  Swap -79 and -85
  List after swap: [-90, -85, -79, -52]

Pass 3:
  Compare -90 and -85
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -85, -79, -52]
</think>

<response>-90, -85, -79, -52</response>


input: Execute bubble sort to sort -100, 86, 36, 13, 68, -51, -95, -13 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-100, 86, 36, 13, 68, -51, -95, -13]

Pass 1:
  Compare -100 and 86
  No swap needed
  Compare 86 and 36
  Swap 86 and 36
  List after swap: [-100, 36, 86, 13, 68, -51, -95, -13]
  Compare 86 and 13
  Swap 86 and 13
  List after swap: [-100, 36, 13, 86, 68, -51, -95, -13]
  Compare 86 and 68
  Swap 86 and 68
  List after swap: [-100, 36, 13, 68, 86, -51, -95, -13]
  Compare 86 and -51
  Swap 86 and -51
  List after swap: [-100, 36, 13, 68, -51, 86, -95, -13]
  Compare 86 and -95
  Swap 86 and -95
  List after swap: [-100, 36, 13, 68, -51, -95, 86, -13]
  Compare 86 and -13
  Swap 86 and -13
  List after swap: [-100, 36, 13, 68, -51, -95, -13, 86]

Pass 2:
  Compare -100 and 36
  No swap needed
  Compare 36 and 13
  Swap 36 and 13
  List after swap: [-100, 13, 36, 68, -51, -95, -13, 86]
  Compare 36 and 68
  No swap needed
  Compare 68 and -51
  Swap 68 and -51
  List after swap: [-100, 13, 36, -51, 68, -95, -13, 86]
  Compare 68 and -95
  Swap 68 and -95
  List after swap: [-100, 13, 36, -51, -95, 68, -13, 86]
  Compare 68 and -13
  Swap 68 and -13
  List after swap: [-100, 13, 36, -51, -95, -13, 68, 86]

Pass 3:
  Compare -100 and 13
  No swap needed
  Compare 13 and 36
  No swap needed
  Compare 36 and -51
  Swap 36 and -51
  List after swap: [-100, 13, -51, 36, -95, -13, 68, 86]
  Compare 36 and -95
  Swap 36 and -95
  List after swap: [-100, 13, -51, -95, 36, -13, 68, 86]
  Compare 36 and -13
  Swap 36 and -13
  List after swap: [-100, 13, -51, -95, -13, 36, 68, 86]

Pass 4:
  Compare -100 and 13
  No swap needed
  Compare 13 and -51
  Swap 13 and -51
  List after swap: [-100, -51, 13, -95, -13, 36, 68, 86]
  Compare 13 and -95
  Swap 13 and -95
  List after swap: [-100, -51, -95, 13, -13, 36, 68, 86]
  Compare 13 and -13
  Swap 13 and -13
  List after swap: [-100, -51, -95, -13, 13, 36, 68, 86]

Pass 5:
  Compare -100 and -51
  No swap needed
  Compare -51 and -95
  Swap -51 and -95
  List after swap: [-100, -95, -51, -13, 13, 36, 68, 86]
  Compare -51 and -13
  No swap needed

Pass 6:
  Compare -100 and -95
  No swap needed
  Compare -95 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -95, -51, -13, 13, 36, 68, 86]
</think>

<response>-100, -95, -51, -13, 13, 36, 68, 86</response>


input: Perform a bubble sort on the integers 96, -90, 5, 1, -80, -100, 8, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [96, -90, 5, 1, -80, -100, 8]

Pass 1:
  Compare 96 and -90
  Swap 96 and -90
  List after swap: [-90, 96, 5, 1, -80, -100, 8]
  Compare 96 and 5
  Swap 96 and 5
  List after swap: [-90, 5, 96, 1, -80, -100, 8]
  Compare 96 and 1
  Swap 96 and 1
  List after swap: [-90, 5, 1, 96, -80, -100, 8]
  Compare 96 and -80
  Swap 96 and -80
  List after swap: [-90, 5, 1, -80, 96, -100, 8]
  Compare 96 and -100
  Swap 96 and -100
  List after swap: [-90, 5, 1, -80, -100, 96, 8]
  Compare 96 and 8
  Swap 96 and 8
  List after swap: [-90, 5, 1, -80, -100, 8, 96]

Pass 2:
  Compare -90 and 5
  No swap needed
  Compare 5 and 1
  Swap 5 and 1
  List after swap: [-90, 1, 5, -80, -100, 8, 96]
  Compare 5 and -80
  Swap 5 and -80
  List after swap: [-90, 1, -80, 5, -100, 8, 96]
  Compare 5 and -100
  Swap 5 and -100
  List after swap: [-90, 1, -80, -100, 5, 8, 96]
  Compare 5 and 8
  No swap needed

Pass 3:
  Compare -90 and 1
  No swap needed
  Compare 1 and -80
  Swap 1 and -80
  List after swap: [-90, -80, 1, -100, 5, 8, 96]
  Compare 1 and -100
  Swap 1 and -100
  List after swap: [-90, -80, -100, 1, 5, 8, 96]
  Compare 1 and 5
  No swap needed

Pass 4:
  Compare -90 and -80
  No swap needed
  Compare -80 and -100
  Swap -80 and -100
  List after swap: [-90, -100, -80, 1, 5, 8, 96]
  Compare -80 and 1
  No swap needed

Pass 5:
  Compare -90 and -100
  Swap -90 and -100
  List after swap: [-100, -90, -80, 1, 5, 8, 96]
  Compare -90 and -80
  No swap needed

Pass 6:
  Compare -100 and -90
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -90, -80, 1, 5, 8, 96]
</think>

<response>-100, -90, -80, 1, 5, 8, 96</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -81, 10, -82.

output:
<think>
Initial list: [-81, 10, -82]

Pass 1:
  Compare -81 and 10
  No swap needed
  Compare 10 and -82
  Swap 10 and -82
  List after swap: [-81, -82, 10]

Pass 2:
  Compare -81 and -82
  Swap -81 and -82
  List after swap: [-82, -81, 10]

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

Final sorted list: [-82, -81, 10]
</think>

<response>-82, -81, 10</response>


input: Use the bubble sort technique to reorder 75, -80, 36, 53, -60 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [75, -80, 36, 53, -60]

Pass 1:
  Compare 75 and -80
  Swap 75 and -80
  List after swap: [-80, 75, 36, 53, -60]
  Compare 75 and 36
  Swap 75 and 36
  List after swap: [-80, 36, 75, 53, -60]
  Compare 75 and 53
  Swap 75 and 53
  List after swap: [-80, 36, 53, 75, -60]
  Compare 75 and -60
  Swap 75 and -60
  List after swap: [-80, 36, 53, -60, 75]

Pass 2:
  Compare -80 and 36
  No swap needed
  Compare 36 and 53
  No swap needed
  Compare 53 and -60
  Swap 53 and -60
  List after swap: [-80, 36, -60, 53, 75]

Pass 3:
  Compare -80 and 36
  No swap needed
  Compare 36 and -60
  Swap 36 and -60
  List after swap: [-80, -60, 36, 53, 75]

Pass 4:
  Compare -80 and -60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -60, 36, 53, 75]
</think>

<response>-80, -60, 36, 53, 75</response>


input: Using the bubble sort method, sort 54, -19, -36, 10 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [54, -19, -36, 10]

Pass 1:
  Compare 54 and -19
  Swap 54 and -19
  List after swap: [-19, 54, -36, 10]
  Compare 54 and -36
  Swap 54 and -36
  List after swap: [-19, -36, 54, 10]
  Compare 54 and 10
  Swap 54 and 10
  List after swap: [-19, -36, 10, 54]

Pass 2:
  Compare -19 and -36
  Swap -19 and -36
  List after swap: [-36, -19, 10, 54]
  Compare -19 and 10
  No swap needed

Pass 3:
  Compare -36 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-36, -19, 10, 54]
</think>

<response>-36, -19, 10, 54</response>


input: Using the bubble sort method, sort -69, 37, 57, 15, 99, -32, -42 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-69, 37, 57, 15, 99, -32, -42]

Pass 1:
  Compare -69 and 37
  No swap needed
  Compare 37 and 57
  No swap needed
  Compare 57 and 15
  Swap 57 and 15
  List after swap: [-69, 37, 15, 57, 99, -32, -42]
  Compare 57 and 99
  No swap needed
  Compare 99 and -32
  Swap 99 and -32
  List after swap: [-69, 37, 15, 57, -32, 99, -42]
  Compare 99 and -42
  Swap 99 and -42
  List after swap: [-69, 37, 15, 57, -32, -42, 99]

Pass 2:
  Compare -69 and 37
  No swap needed
  Compare 37 and 15
  Swap 37 and 15
  List after swap: [-69, 15, 37, 57, -32, -42, 99]
  Compare 37 and 57
  No swap needed
  Compare 57 and -32
  Swap 57 and -32
  List after swap: [-69, 15, 37, -32, 57, -42, 99]
  Compare 57 and -42
  Swap 57 and -42
  List after swap: [-69, 15, 37, -32, -42, 57, 99]

Pass 3:
  Compare -69 and 15
  No swap needed
  Compare 15 and 37
  No swap needed
  Compare 37 and -32
  Swap 37 and -32
  List after swap: [-69, 15, -32, 37, -42, 57, 99]
  Compare 37 and -42
  Swap 37 and -42
  List after swap: [-69, 15, -32, -42, 37, 57, 99]

Pass 4:
  Compare -69 and 15
  No swap needed
  Compare 15 and -32
  Swap 15 and -32
  List after swap: [-69, -32, 15, -42, 37, 57, 99]
  Compare 15 and -42
  Swap 15 and -42
  List after swap: [-69, -32, -42, 15, 37, 57, 99]

Pass 5:
  Compare -69 and -32
  No swap needed
  Compare -32 and -42
  Swap -32 and -42
  List after swap: [-69, -42, -32, 15, 37, 57, 99]

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

Final sorted list: [-69, -42, -32, 15, 37, 57, 99]
</think>

<response>-69, -42, -32, 15, 37, 57, 99</response>


input: Sort these integers -58, 13 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-58, 13]

Pass 1:
  Compare -58 and 13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, 13]
</think>

<response>-58, 13</response>


input: Carry out the bubble sort algorithm on 99, -64, -18, -3, -5, -70, -2, -89 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [99, -64, -18, -3, -5, -70, -2, -89]

Pass 1:
  Compare 99 and -64
  Swap 99 and -64
  List after swap: [-64, 99, -18, -3, -5, -70, -2, -89]
  Compare 99 and -18
  Swap 99 and -18
  List after swap: [-64, -18, 99, -3, -5, -70, -2, -89]
  Compare 99 and -3
  Swap 99 and -3
  List after swap: [-64, -18, -3, 99, -5, -70, -2, -89]
  Compare 99 and -5
  Swap 99 and -5
  List after swap: [-64, -18, -3, -5, 99, -70, -2, -89]
  Compare 99 and -70
  Swap 99 and -70
  List after swap: [-64, -18, -3, -5, -70, 99, -2, -89]
  Compare 99 and -2
  Swap 99 and -2
  List after swap: [-64, -18, -3, -5, -70, -2, 99, -89]
  Compare 99 and -89
  Swap 99 and -89
  List after swap: [-64, -18, -3, -5, -70, -2, -89, 99]

Pass 2:
  Compare -64 and -18
  No swap needed
  Compare -18 and -3
  No swap needed
  Compare -3 and -5
  Swap -3 and -5
  List after swap: [-64, -18, -5, -3, -70, -2, -89, 99]
  Compare -3 and -70
  Swap -3 and -70
  List after swap: [-64, -18, -5, -70, -3, -2, -89, 99]
  Compare -3 and -2
  No swap needed
  Compare -2 and -89
  Swap -2 and -89
  List after swap: [-64, -18, -5, -70, -3, -89, -2, 99]

Pass 3:
  Compare -64 and -18
  No swap needed
  Compare -18 and -5
  No swap needed
  Compare -5 and -70
  Swap -5 and -70
  List after swap: [-64, -18, -70, -5, -3, -89, -2, 99]
  Compare -5 and -3
  No swap needed
  Compare -3 and -89
  Swap -3 and -89
  List after swap: [-64, -18, -70, -5, -89, -3, -2, 99]

Pass 4:
  Compare -64 and -18
  No swap needed
  Compare -18 and -70
  Swap -18 and -70
  List after swap: [-64, -70, -18, -5, -89, -3, -2, 99]
  Compare -18 and -5
  No swap needed
  Compare -5 and -89
  Swap -5 and -89
  List after swap: [-64, -70, -18, -89, -5, -3, -2, 99]

Pass 5:
  Compare -64 and -70
  Swap -64 and -70
  List after swap: [-70, -64, -18, -89, -5, -3, -2, 99]
  Compare -64 and -18
  No swap needed
  Compare -18 and -89
  Swap -18 and -89
  List after swap: [-70, -64, -89, -18, -5, -3, -2, 99]

Pass 6:
  Compare -70 and -64
  No swap needed
  Compare -64 and -89
  Swap -64 and -89
  List after swap: [-70, -89, -64, -18, -5, -3, -2, 99]

Pass 7:
  Compare -70 and -89
  Swap -70 and -89
  List after swap: [-89, -70, -64, -18, -5, -3, -2, 99]

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

Final sorted list: [-89, -70, -64, -18, -5, -3, -2, 99]
</think>

<response>-89, -70, -64, -18, -5, -3, -2, 99</response>


input: Sort these integers -14, -27, 74, 64, -2, -49, 15 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-14, -27, 74, 64, -2, -49, 15]

Pass 1:
  Compare -14 and -27
  Swap -14 and -27
  List after swap: [-27, -14, 74, 64, -2, -49, 15]
  Compare -14 and 74
  No swap needed
  Compare 74 and 64
  Swap 74 and 64
  List after swap: [-27, -14, 64, 74, -2, -49, 15]
  Compare 74 and -2
  Swap 74 and -2
  List after swap: [-27, -14, 64, -2, 74, -49, 15]
  Compare 74 and -49
  Swap 74 and -49
  List after swap: [-27, -14, 64, -2, -49, 74, 15]
  Compare 74 and 15
  Swap 74 and 15
  List after swap: [-27, -14, 64, -2, -49, 15, 74]

Pass 2:
  Compare -27 and -14
  No swap needed
  Compare -14 and 64
  No swap needed
  Compare 64 and -2
  Swap 64 and -2
  List after swap: [-27, -14, -2, 64, -49, 15, 74]
  Compare 64 and -49
  Swap 64 and -49
  List after swap: [-27, -14, -2, -49, 64, 15, 74]
  Compare 64 and 15
  Swap 64 and 15
  List after swap: [-27, -14, -2, -49, 15, 64, 74]

Pass 3:
  Compare -27 and -14
  No swap needed
  Compare -14 and -2
  No swap needed
  Compare -2 and -49
  Swap -2 and -49
  List after swap: [-27, -14, -49, -2, 15, 64, 74]
  Compare -2 and 15
  No swap needed

Pass 4:
  Compare -27 and -14
  No swap needed
  Compare -14 and -49
  Swap -14 and -49
  List after swap: [-27, -49, -14, -2, 15, 64, 74]
  Compare -14 and -2
  No swap needed

Pass 5:
  Compare -27 and -49
  Swap -27 and -49
  List after swap: [-49, -27, -14, -2, 15, 64, 74]
  Compare -27 and -14
  No swap needed

Pass 6:
  Compare -49 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-49, -27, -14, -2, 15, 64, 74]
</think>

<response>-49, -27, -14, -2, 15, 64, 74</response>


input: Perform a bubble sort on the integers -6, 68, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-6, 68]

Pass 1:
  Compare -6 and 68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-6, 68]
</think>

<response>-6, 68</response>


input: Using the bubble sort method, sort 71, -77, -37, -48, -96, -28, 72, -1, -10, -81 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [71, -77, -37, -48, -96, -28, 72, -1, -10, -81]

Pass 1:
  Compare 71 and -77
  Swap 71 and -77
  List after swap: [-77, 71, -37, -48, -96, -28, 72, -1, -10, -81]
  Compare 71 and -37
  Swap 71 and -37
  List after swap: [-77, -37, 71, -48, -96, -28, 72, -1, -10, -81]
  Compare 71 and -48
  Swap 71 and -48
  List after swap: [-77, -37, -48, 71, -96, -28, 72, -1, -10, -81]
  Compare 71 and -96
  Swap 71 and -96
  List after swap: [-77, -37, -48, -96, 71, -28, 72, -1, -10, -81]
  Compare 71 and -28
  Swap 71 and -28
  List after swap: [-77, -37, -48, -96, -28, 71, 72, -1, -10, -81]
  Compare 71 and 72
  No swap needed
  Compare 72 and -1
  Swap 72 and -1
  List after swap: [-77, -37, -48, -96, -28, 71, -1, 72, -10, -81]
  Compare 72 and -10
  Swap 72 and -10
  List after swap: [-77, -37, -48, -96, -28, 71, -1, -10, 72, -81]
  Compare 72 and -81
  Swap 72 and -81
  List after swap: [-77, -37, -48, -96, -28, 71, -1, -10, -81, 72]

Pass 2:
  Compare -77 and -37
  No swap needed
  Compare -37 and -48
  Swap -37 and -48
  List after swap: [-77, -48, -37, -96, -28, 71, -1, -10, -81, 72]
  Compare -37 and -96
  Swap -37 and -96
  List after swap: [-77, -48, -96, -37, -28, 71, -1, -10, -81, 72]
  Compare -37 and -28
  No swap needed
  Compare -28 and 71
  No swap needed
  Compare 71 and -1
  Swap 71 and -1
  List after swap: [-77, -48, -96, -37, -28, -1, 71, -10, -81, 72]
  Compare 71 and -10
  Swap 71 and -10
  List after swap: [-77, -48, -96, -37, -28, -1, -10, 71, -81, 72]
  Compare 71 and -81
  Swap 71 and -81
  List after swap: [-77, -48, -96, -37, -28, -1, -10, -81, 71, 72]

Pass 3:
  Compare -77 and -48
  No swap needed
  Compare -48 and -96
  Swap -48 and -96
  List after swap: [-77, -96, -48, -37, -28, -1, -10, -81, 71, 72]
  Compare -48 and -37
  No swap needed
  Compare -37 and -28
  No swap needed
  Compare -28 and -1
  No swap needed
  Compare -1 and -10
  Swap -1 and -10
  List after swap: [-77, -96, -48, -37, -28, -10, -1, -81, 71, 72]
  Compare -1 and -81
  Swap -1 and -81
  List after swap: [-77, -96, -48, -37, -28, -10, -81, -1, 71, 72]

Pass 4:
  Compare -77 and -96
  Swap -77 and -96
  List after swap: [-96, -77, -48, -37, -28, -10, -81, -1, 71, 72]
  Compare -77 and -48
  No swap needed
  Compare -48 and -37
  No swap needed
  Compare -37 and -28
  No swap needed
  Compare -28 and -10
  No swap needed
  Compare -10 and -81
  Swap -10 and -81
  List after swap: [-96, -77, -48, -37, -28, -81, -10, -1, 71, 72]

Pass 5:
  Compare -96 and -77
  No swap needed
  Compare -77 and -48
  No swap needed
  Compare -48 and -37
  No swap needed
  Compare -37 and -28
  No swap needed
  Compare -28 and -81
  Swap -28 and -81
  List after swap: [-96, -77, -48, -37, -81, -28, -10, -1, 71, 72]

Pass 6:
  Compare -96 and -77
  No swap needed
  Compare -77 and -48
  No swap needed
  Compare -48 and -37
  No swap needed
  Compare -37 and -81
  Swap -37 and -81
  List after swap: [-96, -77, -48, -81, -37, -28, -10, -1, 71, 72]

Pass 7:
  Compare -96 and -77
  No swap needed
  Compare -77 and -48
  No swap needed
  Compare -48 and -81
  Swap -48 and -81
  List after swap: [-96, -77, -81, -48, -37, -28, -10, -1, 71, 72]

Pass 8:
  Compare -96 and -77
  No swap needed
  Compare -77 and -81
  Swap -77 and -81
  List after swap: [-96, -81, -77, -48, -37, -28, -10, -1, 71, 72]

Pass 9:
  Compare -96 and -81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -81, -77, -48, -37, -28, -10, -1, 71, 72]
</think>

<response>-96, -81, -77, -48, -37, -28, -10, -1, 71, 72</response>


input: Perform a bubble sort on the integers -89, -19, -33, -60, -38, 25, 98, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-89, -19, -33, -60, -38, 25, 98]

Pass 1:
  Compare -89 and -19
  No swap needed
  Compare -19 and -33
  Swap -19 and -33
  List after swap: [-89, -33, -19, -60, -38, 25, 98]
  Compare -19 and -60
  Swap -19 and -60
  List after swap: [-89, -33, -60, -19, -38, 25, 98]
  Compare -19 and -38
  Swap -19 and -38
  List after swap: [-89, -33, -60, -38, -19, 25, 98]
  Compare -19 and 25
  No swap needed
  Compare 25 and 98
  No swap needed

Pass 2:
  Compare -89 and -33
  No swap needed
  Compare -33 and -60
  Swap -33 and -60
  List after swap: [-89, -60, -33, -38, -19, 25, 98]
  Compare -33 and -38
  Swap -33 and -38
  List after swap: [-89, -60, -38, -33, -19, 25, 98]
  Compare -33 and -19
  No swap needed
  Compare -19 and 25
  No swap needed

Pass 3:
  Compare -89 and -60
  No swap needed
  Compare -60 and -38
  No swap needed
  Compare -38 and -33
  No swap needed
  Compare -33 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -60, -38, -33, -19, 25, 98]
</think>

<response>-89, -60, -38, -33, -19, 25, 98</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -1, 8, 21, 68, -55, 63.

output:
<think>
Initial list: [-1, 8, 21, 68, -55, 63]

Pass 1:
  Compare -1 and 8
  No swap needed
  Compare 8 and 21
  No swap needed
  Compare 21 and 68
  No swap needed
  Compare 68 and -55
  Swap 68 and -55
  List after swap: [-1, 8, 21, -55, 68, 63]
  Compare 68 and 63
  Swap 68 and 63
  List after swap: [-1, 8, 21, -55, 63, 68]

Pass 2:
  Compare -1 and 8
  No swap needed
  Compare 8 and 21
  No swap needed
  Compare 21 and -55
  Swap 21 and -55
  List after swap: [-1, 8, -55, 21, 63, 68]
  Compare 21 and 63
  No swap needed

Pass 3:
  Compare -1 and 8
  No swap needed
  Compare 8 and -55
  Swap 8 and -55
  List after swap: [-1, -55, 8, 21, 63, 68]
  Compare 8 and 21
  No swap needed

Pass 4:
  Compare -1 and -55
  Swap -1 and -55
  List after swap: [-55, -1, 8, 21, 63, 68]
  Compare -1 and 8
  No swap needed

Pass 5:
  Compare -55 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, -1, 8, 21, 63, 68]
</think>

<response>-55, -1, 8, 21, 63, 68</response>


input: Arrange the numbers -61, 57 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-61, 57]

Pass 1:
  Compare -61 and 57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, 57]
</think>

<response>-61, 57</response>