input: Use the bubble sort technique to reorder -18, -35 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-18, -35]

Pass 1:
  Compare -18 and -35
  Swap -18 and -35
  List after swap: [-35, -18]

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

Final sorted list: [-35, -18]
</think>

<response>-35, -18</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 21, -84, -12, 41, 52, 83, 94, 95, -43, 20.

output:
<think>
Initial list: [21, -84, -12, 41, 52, 83, 94, 95, -43, 20]

Pass 1:
  Compare 21 and -84
  Swap 21 and -84
  List after swap: [-84, 21, -12, 41, 52, 83, 94, 95, -43, 20]
  Compare 21 and -12
  Swap 21 and -12
  List after swap: [-84, -12, 21, 41, 52, 83, 94, 95, -43, 20]
  Compare 21 and 41
  No swap needed
  Compare 41 and 52
  No swap needed
  Compare 52 and 83
  No swap needed
  Compare 83 and 94
  No swap needed
  Compare 94 and 95
  No swap needed
  Compare 95 and -43
  Swap 95 and -43
  List after swap: [-84, -12, 21, 41, 52, 83, 94, -43, 95, 20]
  Compare 95 and 20
  Swap 95 and 20
  List after swap: [-84, -12, 21, 41, 52, 83, 94, -43, 20, 95]

Pass 2:
  Compare -84 and -12
  No swap needed
  Compare -12 and 21
  No swap needed
  Compare 21 and 41
  No swap needed
  Compare 41 and 52
  No swap needed
  Compare 52 and 83
  No swap needed
  Compare 83 and 94
  No swap needed
  Compare 94 and -43
  Swap 94 and -43
  List after swap: [-84, -12, 21, 41, 52, 83, -43, 94, 20, 95]
  Compare 94 and 20
  Swap 94 and 20
  List after swap: [-84, -12, 21, 41, 52, 83, -43, 20, 94, 95]

Pass 3:
  Compare -84 and -12
  No swap needed
  Compare -12 and 21
  No swap needed
  Compare 21 and 41
  No swap needed
  Compare 41 and 52
  No swap needed
  Compare 52 and 83
  No swap needed
  Compare 83 and -43
  Swap 83 and -43
  List after swap: [-84, -12, 21, 41, 52, -43, 83, 20, 94, 95]
  Compare 83 and 20
  Swap 83 and 20
  List after swap: [-84, -12, 21, 41, 52, -43, 20, 83, 94, 95]

Pass 4:
  Compare -84 and -12
  No swap needed
  Compare -12 and 21
  No swap needed
  Compare 21 and 41
  No swap needed
  Compare 41 and 52
  No swap needed
  Compare 52 and -43
  Swap 52 and -43
  List after swap: [-84, -12, 21, 41, -43, 52, 20, 83, 94, 95]
  Compare 52 and 20
  Swap 52 and 20
  List after swap: [-84, -12, 21, 41, -43, 20, 52, 83, 94, 95]

Pass 5:
  Compare -84 and -12
  No swap needed
  Compare -12 and 21
  No swap needed
  Compare 21 and 41
  No swap needed
  Compare 41 and -43
  Swap 41 and -43
  List after swap: [-84, -12, 21, -43, 41, 20, 52, 83, 94, 95]
  Compare 41 and 20
  Swap 41 and 20
  List after swap: [-84, -12, 21, -43, 20, 41, 52, 83, 94, 95]

Pass 6:
  Compare -84 and -12
  No swap needed
  Compare -12 and 21
  No swap needed
  Compare 21 and -43
  Swap 21 and -43
  List after swap: [-84, -12, -43, 21, 20, 41, 52, 83, 94, 95]
  Compare 21 and 20
  Swap 21 and 20
  List after swap: [-84, -12, -43, 20, 21, 41, 52, 83, 94, 95]

Pass 7:
  Compare -84 and -12
  No swap needed
  Compare -12 and -43
  Swap -12 and -43
  List after swap: [-84, -43, -12, 20, 21, 41, 52, 83, 94, 95]
  Compare -12 and 20
  No swap needed

Pass 8:
  Compare -84 and -43
  No swap needed
  Compare -43 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -43, -12, 20, 21, 41, 52, 83, 94, 95]
</think>

<response>-84, -43, -12, 20, 21, 41, 52, 83, 94, 95</response>


input: Sort the list 3, -1, 86, -9, -98, 92, 2, -81, -52 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [3, -1, 86, -9, -98, 92, 2, -81, -52]

Pass 1:
  Compare 3 and -1
  Swap 3 and -1
  List after swap: [-1, 3, 86, -9, -98, 92, 2, -81, -52]
  Compare 3 and 86
  No swap needed
  Compare 86 and -9
  Swap 86 and -9
  List after swap: [-1, 3, -9, 86, -98, 92, 2, -81, -52]
  Compare 86 and -98
  Swap 86 and -98
  List after swap: [-1, 3, -9, -98, 86, 92, 2, -81, -52]
  Compare 86 and 92
  No swap needed
  Compare 92 and 2
  Swap 92 and 2
  List after swap: [-1, 3, -9, -98, 86, 2, 92, -81, -52]
  Compare 92 and -81
  Swap 92 and -81
  List after swap: [-1, 3, -9, -98, 86, 2, -81, 92, -52]
  Compare 92 and -52
  Swap 92 and -52
  List after swap: [-1, 3, -9, -98, 86, 2, -81, -52, 92]

Pass 2:
  Compare -1 and 3
  No swap needed
  Compare 3 and -9
  Swap 3 and -9
  List after swap: [-1, -9, 3, -98, 86, 2, -81, -52, 92]
  Compare 3 and -98
  Swap 3 and -98
  List after swap: [-1, -9, -98, 3, 86, 2, -81, -52, 92]
  Compare 3 and 86
  No swap needed
  Compare 86 and 2
  Swap 86 and 2
  List after swap: [-1, -9, -98, 3, 2, 86, -81, -52, 92]
  Compare 86 and -81
  Swap 86 and -81
  List after swap: [-1, -9, -98, 3, 2, -81, 86, -52, 92]
  Compare 86 and -52
  Swap 86 and -52
  List after swap: [-1, -9, -98, 3, 2, -81, -52, 86, 92]

Pass 3:
  Compare -1 and -9
  Swap -1 and -9
  List after swap: [-9, -1, -98, 3, 2, -81, -52, 86, 92]
  Compare -1 and -98
  Swap -1 and -98
  List after swap: [-9, -98, -1, 3, 2, -81, -52, 86, 92]
  Compare -1 and 3
  No swap needed
  Compare 3 and 2
  Swap 3 and 2
  List after swap: [-9, -98, -1, 2, 3, -81, -52, 86, 92]
  Compare 3 and -81
  Swap 3 and -81
  List after swap: [-9, -98, -1, 2, -81, 3, -52, 86, 92]
  Compare 3 and -52
  Swap 3 and -52
  List after swap: [-9, -98, -1, 2, -81, -52, 3, 86, 92]

Pass 4:
  Compare -9 and -98
  Swap -9 and -98
  List after swap: [-98, -9, -1, 2, -81, -52, 3, 86, 92]
  Compare -9 and -1
  No swap needed
  Compare -1 and 2
  No swap needed
  Compare 2 and -81
  Swap 2 and -81
  List after swap: [-98, -9, -1, -81, 2, -52, 3, 86, 92]
  Compare 2 and -52
  Swap 2 and -52
  List after swap: [-98, -9, -1, -81, -52, 2, 3, 86, 92]

Pass 5:
  Compare -98 and -9
  No swap needed
  Compare -9 and -1
  No swap needed
  Compare -1 and -81
  Swap -1 and -81
  List after swap: [-98, -9, -81, -1, -52, 2, 3, 86, 92]
  Compare -1 and -52
  Swap -1 and -52
  List after swap: [-98, -9, -81, -52, -1, 2, 3, 86, 92]

Pass 6:
  Compare -98 and -9
  No swap needed
  Compare -9 and -81
  Swap -9 and -81
  List after swap: [-98, -81, -9, -52, -1, 2, 3, 86, 92]
  Compare -9 and -52
  Swap -9 and -52
  List after swap: [-98, -81, -52, -9, -1, 2, 3, 86, 92]

Pass 7:
  Compare -98 and -81
  No swap needed
  Compare -81 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -81, -52, -9, -1, 2, 3, 86, 92]
</think>

<response>-98, -81, -52, -9, -1, 2, 3, 86, 92</response>


input: Carry out the bubble sort algorithm on -42, 36, -23, -7, -70, -19, 5, 10 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-42, 36, -23, -7, -70, -19, 5, 10]

Pass 1:
  Compare -42 and 36
  No swap needed
  Compare 36 and -23
  Swap 36 and -23
  List after swap: [-42, -23, 36, -7, -70, -19, 5, 10]
  Compare 36 and -7
  Swap 36 and -7
  List after swap: [-42, -23, -7, 36, -70, -19, 5, 10]
  Compare 36 and -70
  Swap 36 and -70
  List after swap: [-42, -23, -7, -70, 36, -19, 5, 10]
  Compare 36 and -19
  Swap 36 and -19
  List after swap: [-42, -23, -7, -70, -19, 36, 5, 10]
  Compare 36 and 5
  Swap 36 and 5
  List after swap: [-42, -23, -7, -70, -19, 5, 36, 10]
  Compare 36 and 10
  Swap 36 and 10
  List after swap: [-42, -23, -7, -70, -19, 5, 10, 36]

Pass 2:
  Compare -42 and -23
  No swap needed
  Compare -23 and -7
  No swap needed
  Compare -7 and -70
  Swap -7 and -70
  List after swap: [-42, -23, -70, -7, -19, 5, 10, 36]
  Compare -7 and -19
  Swap -7 and -19
  List after swap: [-42, -23, -70, -19, -7, 5, 10, 36]
  Compare -7 and 5
  No swap needed
  Compare 5 and 10
  No swap needed

Pass 3:
  Compare -42 and -23
  No swap needed
  Compare -23 and -70
  Swap -23 and -70
  List after swap: [-42, -70, -23, -19, -7, 5, 10, 36]
  Compare -23 and -19
  No swap needed
  Compare -19 and -7
  No swap needed
  Compare -7 and 5
  No swap needed

Pass 4:
  Compare -42 and -70
  Swap -42 and -70
  List after swap: [-70, -42, -23, -19, -7, 5, 10, 36]
  Compare -42 and -23
  No swap needed
  Compare -23 and -19
  No swap needed
  Compare -19 and -7
  No swap needed

Pass 5:
  Compare -70 and -42
  No swap needed
  Compare -42 and -23
  No swap needed
  Compare -23 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -42, -23, -19, -7, 5, 10, 36]
</think>

<response>-70, -42, -23, -19, -7, 5, 10, 36</response>


input: Using the bubble sort method, sort -20, -42, -24, 6, -63, -31 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-20, -42, -24, 6, -63, -31]

Pass 1:
  Compare -20 and -42
  Swap -20 and -42
  List after swap: [-42, -20, -24, 6, -63, -31]
  Compare -20 and -24
  Swap -20 and -24
  List after swap: [-42, -24, -20, 6, -63, -31]
  Compare -20 and 6
  No swap needed
  Compare 6 and -63
  Swap 6 and -63
  List after swap: [-42, -24, -20, -63, 6, -31]
  Compare 6 and -31
  Swap 6 and -31
  List after swap: [-42, -24, -20, -63, -31, 6]

Pass 2:
  Compare -42 and -24
  No swap needed
  Compare -24 and -20
  No swap needed
  Compare -20 and -63
  Swap -20 and -63
  List after swap: [-42, -24, -63, -20, -31, 6]
  Compare -20 and -31
  Swap -20 and -31
  List after swap: [-42, -24, -63, -31, -20, 6]

Pass 3:
  Compare -42 and -24
  No swap needed
  Compare -24 and -63
  Swap -24 and -63
  List after swap: [-42, -63, -24, -31, -20, 6]
  Compare -24 and -31
  Swap -24 and -31
  List after swap: [-42, -63, -31, -24, -20, 6]

Pass 4:
  Compare -42 and -63
  Swap -42 and -63
  List after swap: [-63, -42, -31, -24, -20, 6]
  Compare -42 and -31
  No swap needed

Pass 5:
  Compare -63 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -42, -31, -24, -20, 6]
</think>

<response>-63, -42, -31, -24, -20, 6</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -77, 41.

output:
<think>
Initial list: [-77, 41]

Pass 1:
  Compare -77 and 41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, 41]
</think>

<response>-77, 41</response>


input: Demonstrate how bubble sort orders the integers 28, -38, 8, -59, -96, 88 in ascending sequence, showing all steps.

output:
<think>
Initial list: [28, -38, 8, -59, -96, 88]

Pass 1:
  Compare 28 and -38
  Swap 28 and -38
  List after swap: [-38, 28, 8, -59, -96, 88]
  Compare 28 and 8
  Swap 28 and 8
  List after swap: [-38, 8, 28, -59, -96, 88]
  Compare 28 and -59
  Swap 28 and -59
  List after swap: [-38, 8, -59, 28, -96, 88]
  Compare 28 and -96
  Swap 28 and -96
  List after swap: [-38, 8, -59, -96, 28, 88]
  Compare 28 and 88
  No swap needed

Pass 2:
  Compare -38 and 8
  No swap needed
  Compare 8 and -59
  Swap 8 and -59
  List after swap: [-38, -59, 8, -96, 28, 88]
  Compare 8 and -96
  Swap 8 and -96
  List after swap: [-38, -59, -96, 8, 28, 88]
  Compare 8 and 28
  No swap needed

Pass 3:
  Compare -38 and -59
  Swap -38 and -59
  List after swap: [-59, -38, -96, 8, 28, 88]
  Compare -38 and -96
  Swap -38 and -96
  List after swap: [-59, -96, -38, 8, 28, 88]
  Compare -38 and 8
  No swap needed

Pass 4:
  Compare -59 and -96
  Swap -59 and -96
  List after swap: [-96, -59, -38, 8, 28, 88]
  Compare -59 and -38
  No swap needed

Pass 5:
  Compare -96 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -59, -38, 8, 28, 88]
</think>

<response>-96, -59, -38, 8, 28, 88</response>


input: Use the bubble sort technique to reorder 49, 36, 82, 38, 40, 69 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [49, 36, 82, 38, 40, 69]

Pass 1:
  Compare 49 and 36
  Swap 49 and 36
  List after swap: [36, 49, 82, 38, 40, 69]
  Compare 49 and 82
  No swap needed
  Compare 82 and 38
  Swap 82 and 38
  List after swap: [36, 49, 38, 82, 40, 69]
  Compare 82 and 40
  Swap 82 and 40
  List after swap: [36, 49, 38, 40, 82, 69]
  Compare 82 and 69
  Swap 82 and 69
  List after swap: [36, 49, 38, 40, 69, 82]

Pass 2:
  Compare 36 and 49
  No swap needed
  Compare 49 and 38
  Swap 49 and 38
  List after swap: [36, 38, 49, 40, 69, 82]
  Compare 49 and 40
  Swap 49 and 40
  List after swap: [36, 38, 40, 49, 69, 82]
  Compare 49 and 69
  No swap needed

Pass 3:
  Compare 36 and 38
  No swap needed
  Compare 38 and 40
  No swap needed
  Compare 40 and 49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [36, 38, 40, 49, 69, 82]
</think>

<response>36, 38, 40, 49, 69, 82</response>


input: Using the bubble sort method, sort 23, -55, -17, 73, 84, 37, 65, -68, 16 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [23, -55, -17, 73, 84, 37, 65, -68, 16]

Pass 1:
  Compare 23 and -55
  Swap 23 and -55
  List after swap: [-55, 23, -17, 73, 84, 37, 65, -68, 16]
  Compare 23 and -17
  Swap 23 and -17
  List after swap: [-55, -17, 23, 73, 84, 37, 65, -68, 16]
  Compare 23 and 73
  No swap needed
  Compare 73 and 84
  No swap needed
  Compare 84 and 37
  Swap 84 and 37
  List after swap: [-55, -17, 23, 73, 37, 84, 65, -68, 16]
  Compare 84 and 65
  Swap 84 and 65
  List after swap: [-55, -17, 23, 73, 37, 65, 84, -68, 16]
  Compare 84 and -68
  Swap 84 and -68
  List after swap: [-55, -17, 23, 73, 37, 65, -68, 84, 16]
  Compare 84 and 16
  Swap 84 and 16
  List after swap: [-55, -17, 23, 73, 37, 65, -68, 16, 84]

Pass 2:
  Compare -55 and -17
  No swap needed
  Compare -17 and 23
  No swap needed
  Compare 23 and 73
  No swap needed
  Compare 73 and 37
  Swap 73 and 37
  List after swap: [-55, -17, 23, 37, 73, 65, -68, 16, 84]
  Compare 73 and 65
  Swap 73 and 65
  List after swap: [-55, -17, 23, 37, 65, 73, -68, 16, 84]
  Compare 73 and -68
  Swap 73 and -68
  List after swap: [-55, -17, 23, 37, 65, -68, 73, 16, 84]
  Compare 73 and 16
  Swap 73 and 16
  List after swap: [-55, -17, 23, 37, 65, -68, 16, 73, 84]

Pass 3:
  Compare -55 and -17
  No swap needed
  Compare -17 and 23
  No swap needed
  Compare 23 and 37
  No swap needed
  Compare 37 and 65
  No swap needed
  Compare 65 and -68
  Swap 65 and -68
  List after swap: [-55, -17, 23, 37, -68, 65, 16, 73, 84]
  Compare 65 and 16
  Swap 65 and 16
  List after swap: [-55, -17, 23, 37, -68, 16, 65, 73, 84]

Pass 4:
  Compare -55 and -17
  No swap needed
  Compare -17 and 23
  No swap needed
  Compare 23 and 37
  No swap needed
  Compare 37 and -68
  Swap 37 and -68
  List after swap: [-55, -17, 23, -68, 37, 16, 65, 73, 84]
  Compare 37 and 16
  Swap 37 and 16
  List after swap: [-55, -17, 23, -68, 16, 37, 65, 73, 84]

Pass 5:
  Compare -55 and -17
  No swap needed
  Compare -17 and 23
  No swap needed
  Compare 23 and -68
  Swap 23 and -68
  List after swap: [-55, -17, -68, 23, 16, 37, 65, 73, 84]
  Compare 23 and 16
  Swap 23 and 16
  List after swap: [-55, -17, -68, 16, 23, 37, 65, 73, 84]

Pass 6:
  Compare -55 and -17
  No swap needed
  Compare -17 and -68
  Swap -17 and -68
  List after swap: [-55, -68, -17, 16, 23, 37, 65, 73, 84]
  Compare -17 and 16
  No swap needed

Pass 7:
  Compare -55 and -68
  Swap -55 and -68
  List after swap: [-68, -55, -17, 16, 23, 37, 65, 73, 84]
  Compare -55 and -17
  No swap needed

Pass 8:
  Compare -68 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -55, -17, 16, 23, 37, 65, 73, 84]
</think>

<response>-68, -55, -17, 16, 23, 37, 65, 73, 84</response>


input: Using the bubble sort method, sort 25, -61, -92, -11 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [25, -61, -92, -11]

Pass 1:
  Compare 25 and -61
  Swap 25 and -61
  List after swap: [-61, 25, -92, -11]
  Compare 25 and -92
  Swap 25 and -92
  List after swap: [-61, -92, 25, -11]
  Compare 25 and -11
  Swap 25 and -11
  List after swap: [-61, -92, -11, 25]

Pass 2:
  Compare -61 and -92
  Swap -61 and -92
  List after swap: [-92, -61, -11, 25]
  Compare -61 and -11
  No swap needed

Pass 3:
  Compare -92 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -61, -11, 25]
</think>

<response>-92, -61, -11, 25</response>


input: Sort the list -47, 50, 53, 72 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-47, 50, 53, 72]

Pass 1:
  Compare -47 and 50
  No swap needed
  Compare 50 and 53
  No swap needed
  Compare 53 and 72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-47, 50, 53, 72]
</think>

<response>-47, 50, 53, 72</response>


input: Use the bubble sort technique to reorder -65, -55, 76, -79, 23, 83, -75, -96 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-65, -55, 76, -79, 23, 83, -75, -96]

Pass 1:
  Compare -65 and -55
  No swap needed
  Compare -55 and 76
  No swap needed
  Compare 76 and -79
  Swap 76 and -79
  List after swap: [-65, -55, -79, 76, 23, 83, -75, -96]
  Compare 76 and 23
  Swap 76 and 23
  List after swap: [-65, -55, -79, 23, 76, 83, -75, -96]
  Compare 76 and 83
  No swap needed
  Compare 83 and -75
  Swap 83 and -75
  List after swap: [-65, -55, -79, 23, 76, -75, 83, -96]
  Compare 83 and -96
  Swap 83 and -96
  List after swap: [-65, -55, -79, 23, 76, -75, -96, 83]

Pass 2:
  Compare -65 and -55
  No swap needed
  Compare -55 and -79
  Swap -55 and -79
  List after swap: [-65, -79, -55, 23, 76, -75, -96, 83]
  Compare -55 and 23
  No swap needed
  Compare 23 and 76
  No swap needed
  Compare 76 and -75
  Swap 76 and -75
  List after swap: [-65, -79, -55, 23, -75, 76, -96, 83]
  Compare 76 and -96
  Swap 76 and -96
  List after swap: [-65, -79, -55, 23, -75, -96, 76, 83]

Pass 3:
  Compare -65 and -79
  Swap -65 and -79
  List after swap: [-79, -65, -55, 23, -75, -96, 76, 83]
  Compare -65 and -55
  No swap needed
  Compare -55 and 23
  No swap needed
  Compare 23 and -75
  Swap 23 and -75
  List after swap: [-79, -65, -55, -75, 23, -96, 76, 83]
  Compare 23 and -96
  Swap 23 and -96
  List after swap: [-79, -65, -55, -75, -96, 23, 76, 83]

Pass 4:
  Compare -79 and -65
  No swap needed
  Compare -65 and -55
  No swap needed
  Compare -55 and -75
  Swap -55 and -75
  List after swap: [-79, -65, -75, -55, -96, 23, 76, 83]
  Compare -55 and -96
  Swap -55 and -96
  List after swap: [-79, -65, -75, -96, -55, 23, 76, 83]

Pass 5:
  Compare -79 and -65
  No swap needed
  Compare -65 and -75
  Swap -65 and -75
  List after swap: [-79, -75, -65, -96, -55, 23, 76, 83]
  Compare -65 and -96
  Swap -65 and -96
  List after swap: [-79, -75, -96, -65, -55, 23, 76, 83]

Pass 6:
  Compare -79 and -75
  No swap needed
  Compare -75 and -96
  Swap -75 and -96
  List after swap: [-79, -96, -75, -65, -55, 23, 76, 83]

Pass 7:
  Compare -79 and -96
  Swap -79 and -96
  List after swap: [-96, -79, -75, -65, -55, 23, 76, 83]

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

Final sorted list: [-96, -79, -75, -65, -55, 23, 76, 83]
</think>

<response>-96, -79, -75, -65, -55, 23, 76, 83</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -75, 79, -87, 34, -3.

output:
<think>
Initial list: [-75, 79, -87, 34, -3]

Pass 1:
  Compare -75 and 79
  No swap needed
  Compare 79 and -87
  Swap 79 and -87
  List after swap: [-75, -87, 79, 34, -3]
  Compare 79 and 34
  Swap 79 and 34
  List after swap: [-75, -87, 34, 79, -3]
  Compare 79 and -3
  Swap 79 and -3
  List after swap: [-75, -87, 34, -3, 79]

Pass 2:
  Compare -75 and -87
  Swap -75 and -87
  List after swap: [-87, -75, 34, -3, 79]
  Compare -75 and 34
  No swap needed
  Compare 34 and -3
  Swap 34 and -3
  List after swap: [-87, -75, -3, 34, 79]

Pass 3:
  Compare -87 and -75
  No swap needed
  Compare -75 and -3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -75, -3, 34, 79]
</think>

<response>-87, -75, -3, 34, 79</response>


input: Demonstrate how bubble sort orders the integers 27, 65, -68, 36, -80, -65, 72 in ascending sequence, showing all steps.

output:
<think>
Initial list: [27, 65, -68, 36, -80, -65, 72]

Pass 1:
  Compare 27 and 65
  No swap needed
  Compare 65 and -68
  Swap 65 and -68
  List after swap: [27, -68, 65, 36, -80, -65, 72]
  Compare 65 and 36
  Swap 65 and 36
  List after swap: [27, -68, 36, 65, -80, -65, 72]
  Compare 65 and -80
  Swap 65 and -80
  List after swap: [27, -68, 36, -80, 65, -65, 72]
  Compare 65 and -65
  Swap 65 and -65
  List after swap: [27, -68, 36, -80, -65, 65, 72]
  Compare 65 and 72
  No swap needed

Pass 2:
  Compare 27 and -68
  Swap 27 and -68
  List after swap: [-68, 27, 36, -80, -65, 65, 72]
  Compare 27 and 36
  No swap needed
  Compare 36 and -80
  Swap 36 and -80
  List after swap: [-68, 27, -80, 36, -65, 65, 72]
  Compare 36 and -65
  Swap 36 and -65
  List after swap: [-68, 27, -80, -65, 36, 65, 72]
  Compare 36 and 65
  No swap needed

Pass 3:
  Compare -68 and 27
  No swap needed
  Compare 27 and -80
  Swap 27 and -80
  List after swap: [-68, -80, 27, -65, 36, 65, 72]
  Compare 27 and -65
  Swap 27 and -65
  List after swap: [-68, -80, -65, 27, 36, 65, 72]
  Compare 27 and 36
  No swap needed

Pass 4:
  Compare -68 and -80
  Swap -68 and -80
  List after swap: [-80, -68, -65, 27, 36, 65, 72]
  Compare -68 and -65
  No swap needed
  Compare -65 and 27
  No swap needed

Pass 5:
  Compare -80 and -68
  No swap needed
  Compare -68 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -68, -65, 27, 36, 65, 72]
</think>

<response>-80, -68, -65, 27, 36, 65, 72</response>


input: Demonstrate how bubble sort orders the integers 33, -63, -69, 61, -80, -57, -60, 83, -70, 69 in ascending sequence, showing all steps.

output:
<think>
Initial list: [33, -63, -69, 61, -80, -57, -60, 83, -70, 69]

Pass 1:
  Compare 33 and -63
  Swap 33 and -63
  List after swap: [-63, 33, -69, 61, -80, -57, -60, 83, -70, 69]
  Compare 33 and -69
  Swap 33 and -69
  List after swap: [-63, -69, 33, 61, -80, -57, -60, 83, -70, 69]
  Compare 33 and 61
  No swap needed
  Compare 61 and -80
  Swap 61 and -80
  List after swap: [-63, -69, 33, -80, 61, -57, -60, 83, -70, 69]
  Compare 61 and -57
  Swap 61 and -57
  List after swap: [-63, -69, 33, -80, -57, 61, -60, 83, -70, 69]
  Compare 61 and -60
  Swap 61 and -60
  List after swap: [-63, -69, 33, -80, -57, -60, 61, 83, -70, 69]
  Compare 61 and 83
  No swap needed
  Compare 83 and -70
  Swap 83 and -70
  List after swap: [-63, -69, 33, -80, -57, -60, 61, -70, 83, 69]
  Compare 83 and 69
  Swap 83 and 69
  List after swap: [-63, -69, 33, -80, -57, -60, 61, -70, 69, 83]

Pass 2:
  Compare -63 and -69
  Swap -63 and -69
  List after swap: [-69, -63, 33, -80, -57, -60, 61, -70, 69, 83]
  Compare -63 and 33
  No swap needed
  Compare 33 and -80
  Swap 33 and -80
  List after swap: [-69, -63, -80, 33, -57, -60, 61, -70, 69, 83]
  Compare 33 and -57
  Swap 33 and -57
  List after swap: [-69, -63, -80, -57, 33, -60, 61, -70, 69, 83]
  Compare 33 and -60
  Swap 33 and -60
  List after swap: [-69, -63, -80, -57, -60, 33, 61, -70, 69, 83]
  Compare 33 and 61
  No swap needed
  Compare 61 and -70
  Swap 61 and -70
  List after swap: [-69, -63, -80, -57, -60, 33, -70, 61, 69, 83]
  Compare 61 and 69
  No swap needed

Pass 3:
  Compare -69 and -63
  No swap needed
  Compare -63 and -80
  Swap -63 and -80
  List after swap: [-69, -80, -63, -57, -60, 33, -70, 61, 69, 83]
  Compare -63 and -57
  No swap needed
  Compare -57 and -60
  Swap -57 and -60
  List after swap: [-69, -80, -63, -60, -57, 33, -70, 61, 69, 83]
  Compare -57 and 33
  No swap needed
  Compare 33 and -70
  Swap 33 and -70
  List after swap: [-69, -80, -63, -60, -57, -70, 33, 61, 69, 83]
  Compare 33 and 61
  No swap needed

Pass 4:
  Compare -69 and -80
  Swap -69 and -80
  List after swap: [-80, -69, -63, -60, -57, -70, 33, 61, 69, 83]
  Compare -69 and -63
  No swap needed
  Compare -63 and -60
  No swap needed
  Compare -60 and -57
  No swap needed
  Compare -57 and -70
  Swap -57 and -70
  List after swap: [-80, -69, -63, -60, -70, -57, 33, 61, 69, 83]
  Compare -57 and 33
  No swap needed

Pass 5:
  Compare -80 and -69
  No swap needed
  Compare -69 and -63
  No swap needed
  Compare -63 and -60
  No swap needed
  Compare -60 and -70
  Swap -60 and -70
  List after swap: [-80, -69, -63, -70, -60, -57, 33, 61, 69, 83]
  Compare -60 and -57
  No swap needed

Pass 6:
  Compare -80 and -69
  No swap needed
  Compare -69 and -63
  No swap needed
  Compare -63 and -70
  Swap -63 and -70
  List after swap: [-80, -69, -70, -63, -60, -57, 33, 61, 69, 83]
  Compare -63 and -60
  No swap needed

Pass 7:
  Compare -80 and -69
  No swap needed
  Compare -69 and -70
  Swap -69 and -70
  List after swap: [-80, -70, -69, -63, -60, -57, 33, 61, 69, 83]
  Compare -69 and -63
  No swap needed

Pass 8:
  Compare -80 and -70
  No swap needed
  Compare -70 and -69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -70, -69, -63, -60, -57, 33, 61, 69, 83]
</think>

<response>-80, -70, -69, -63, -60, -57, 33, 61, 69, 83</response>


input: Sort these integers -21, 71, 24 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-21, 71, 24]

Pass 1:
  Compare -21 and 71
  No swap needed
  Compare 71 and 24
  Swap 71 and 24
  List after swap: [-21, 24, 71]

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

Final sorted list: [-21, 24, 71]
</think>

<response>-21, 24, 71</response>


input: Using the bubble sort method, sort 24, -72, 55, -21, 98, -14, -4, 70, 68 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [24, -72, 55, -21, 98, -14, -4, 70, 68]

Pass 1:
  Compare 24 and -72
  Swap 24 and -72
  List after swap: [-72, 24, 55, -21, 98, -14, -4, 70, 68]
  Compare 24 and 55
  No swap needed
  Compare 55 and -21
  Swap 55 and -21
  List after swap: [-72, 24, -21, 55, 98, -14, -4, 70, 68]
  Compare 55 and 98
  No swap needed
  Compare 98 and -14
  Swap 98 and -14
  List after swap: [-72, 24, -21, 55, -14, 98, -4, 70, 68]
  Compare 98 and -4
  Swap 98 and -4
  List after swap: [-72, 24, -21, 55, -14, -4, 98, 70, 68]
  Compare 98 and 70
  Swap 98 and 70
  List after swap: [-72, 24, -21, 55, -14, -4, 70, 98, 68]
  Compare 98 and 68
  Swap 98 and 68
  List after swap: [-72, 24, -21, 55, -14, -4, 70, 68, 98]

Pass 2:
  Compare -72 and 24
  No swap needed
  Compare 24 and -21
  Swap 24 and -21
  List after swap: [-72, -21, 24, 55, -14, -4, 70, 68, 98]
  Compare 24 and 55
  No swap needed
  Compare 55 and -14
  Swap 55 and -14
  List after swap: [-72, -21, 24, -14, 55, -4, 70, 68, 98]
  Compare 55 and -4
  Swap 55 and -4
  List after swap: [-72, -21, 24, -14, -4, 55, 70, 68, 98]
  Compare 55 and 70
  No swap needed
  Compare 70 and 68
  Swap 70 and 68
  List after swap: [-72, -21, 24, -14, -4, 55, 68, 70, 98]

Pass 3:
  Compare -72 and -21
  No swap needed
  Compare -21 and 24
  No swap needed
  Compare 24 and -14
  Swap 24 and -14
  List after swap: [-72, -21, -14, 24, -4, 55, 68, 70, 98]
  Compare 24 and -4
  Swap 24 and -4
  List after swap: [-72, -21, -14, -4, 24, 55, 68, 70, 98]
  Compare 24 and 55
  No swap needed
  Compare 55 and 68
  No swap needed

Pass 4:
  Compare -72 and -21
  No swap needed
  Compare -21 and -14
  No swap needed
  Compare -14 and -4
  No swap needed
  Compare -4 and 24
  No swap needed
  Compare 24 and 55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -21, -14, -4, 24, 55, 68, 70, 98]
</think>

<response>-72, -21, -14, -4, 24, 55, 68, 70, 98</response>


input: Execute bubble sort to sort 15, -65, -55, 49, 43, -11 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [15, -65, -55, 49, 43, -11]

Pass 1:
  Compare 15 and -65
  Swap 15 and -65
  List after swap: [-65, 15, -55, 49, 43, -11]
  Compare 15 and -55
  Swap 15 and -55
  List after swap: [-65, -55, 15, 49, 43, -11]
  Compare 15 and 49
  No swap needed
  Compare 49 and 43
  Swap 49 and 43
  List after swap: [-65, -55, 15, 43, 49, -11]
  Compare 49 and -11
  Swap 49 and -11
  List after swap: [-65, -55, 15, 43, -11, 49]

Pass 2:
  Compare -65 and -55
  No swap needed
  Compare -55 and 15
  No swap needed
  Compare 15 and 43
  No swap needed
  Compare 43 and -11
  Swap 43 and -11
  List after swap: [-65, -55, 15, -11, 43, 49]

Pass 3:
  Compare -65 and -55
  No swap needed
  Compare -55 and 15
  No swap needed
  Compare 15 and -11
  Swap 15 and -11
  List after swap: [-65, -55, -11, 15, 43, 49]

Pass 4:
  Compare -65 and -55
  No swap needed
  Compare -55 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -55, -11, 15, 43, 49]
</think>

<response>-65, -55, -11, 15, 43, 49</response>


input: Use the bubble sort technique to reorder 92, 18, -21 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [92, 18, -21]

Pass 1:
  Compare 92 and 18
  Swap 92 and 18
  List after swap: [18, 92, -21]
  Compare 92 and -21
  Swap 92 and -21
  List after swap: [18, -21, 92]

Pass 2:
  Compare 18 and -21
  Swap 18 and -21
  List after swap: [-21, 18, 92]

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

Final sorted list: [-21, 18, 92]
</think>

<response>-21, 18, 92</response>


input: Sort the list 93, -8, -11, 5, -97, 42, -89, 46, 86 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [93, -8, -11, 5, -97, 42, -89, 46, 86]

Pass 1:
  Compare 93 and -8
  Swap 93 and -8
  List after swap: [-8, 93, -11, 5, -97, 42, -89, 46, 86]
  Compare 93 and -11
  Swap 93 and -11
  List after swap: [-8, -11, 93, 5, -97, 42, -89, 46, 86]
  Compare 93 and 5
  Swap 93 and 5
  List after swap: [-8, -11, 5, 93, -97, 42, -89, 46, 86]
  Compare 93 and -97
  Swap 93 and -97
  List after swap: [-8, -11, 5, -97, 93, 42, -89, 46, 86]
  Compare 93 and 42
  Swap 93 and 42
  List after swap: [-8, -11, 5, -97, 42, 93, -89, 46, 86]
  Compare 93 and -89
  Swap 93 and -89
  List after swap: [-8, -11, 5, -97, 42, -89, 93, 46, 86]
  Compare 93 and 46
  Swap 93 and 46
  List after swap: [-8, -11, 5, -97, 42, -89, 46, 93, 86]
  Compare 93 and 86
  Swap 93 and 86
  List after swap: [-8, -11, 5, -97, 42, -89, 46, 86, 93]

Pass 2:
  Compare -8 and -11
  Swap -8 and -11
  List after swap: [-11, -8, 5, -97, 42, -89, 46, 86, 93]
  Compare -8 and 5
  No swap needed
  Compare 5 and -97
  Swap 5 and -97
  List after swap: [-11, -8, -97, 5, 42, -89, 46, 86, 93]
  Compare 5 and 42
  No swap needed
  Compare 42 and -89
  Swap 42 and -89
  List after swap: [-11, -8, -97, 5, -89, 42, 46, 86, 93]
  Compare 42 and 46
  No swap needed
  Compare 46 and 86
  No swap needed

Pass 3:
  Compare -11 and -8
  No swap needed
  Compare -8 and -97
  Swap -8 and -97
  List after swap: [-11, -97, -8, 5, -89, 42, 46, 86, 93]
  Compare -8 and 5
  No swap needed
  Compare 5 and -89
  Swap 5 and -89
  List after swap: [-11, -97, -8, -89, 5, 42, 46, 86, 93]
  Compare 5 and 42
  No swap needed
  Compare 42 and 46
  No swap needed

Pass 4:
  Compare -11 and -97
  Swap -11 and -97
  List after swap: [-97, -11, -8, -89, 5, 42, 46, 86, 93]
  Compare -11 and -8
  No swap needed
  Compare -8 and -89
  Swap -8 and -89
  List after swap: [-97, -11, -89, -8, 5, 42, 46, 86, 93]
  Compare -8 and 5
  No swap needed
  Compare 5 and 42
  No swap needed

Pass 5:
  Compare -97 and -11
  No swap needed
  Compare -11 and -89
  Swap -11 and -89
  List after swap: [-97, -89, -11, -8, 5, 42, 46, 86, 93]
  Compare -11 and -8
  No swap needed
  Compare -8 and 5
  No swap needed

Pass 6:
  Compare -97 and -89
  No swap needed
  Compare -89 and -11
  No swap needed
  Compare -11 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -89, -11, -8, 5, 42, 46, 86, 93]
</think>

<response>-97, -89, -11, -8, 5, 42, 46, 86, 93</response>


input: Sort the list 42, 16, -94, -32, -13, -99 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [42, 16, -94, -32, -13, -99]

Pass 1:
  Compare 42 and 16
  Swap 42 and 16
  List after swap: [16, 42, -94, -32, -13, -99]
  Compare 42 and -94
  Swap 42 and -94
  List after swap: [16, -94, 42, -32, -13, -99]
  Compare 42 and -32
  Swap 42 and -32
  List after swap: [16, -94, -32, 42, -13, -99]
  Compare 42 and -13
  Swap 42 and -13
  List after swap: [16, -94, -32, -13, 42, -99]
  Compare 42 and -99
  Swap 42 and -99
  List after swap: [16, -94, -32, -13, -99, 42]

Pass 2:
  Compare 16 and -94
  Swap 16 and -94
  List after swap: [-94, 16, -32, -13, -99, 42]
  Compare 16 and -32
  Swap 16 and -32
  List after swap: [-94, -32, 16, -13, -99, 42]
  Compare 16 and -13
  Swap 16 and -13
  List after swap: [-94, -32, -13, 16, -99, 42]
  Compare 16 and -99
  Swap 16 and -99
  List after swap: [-94, -32, -13, -99, 16, 42]

Pass 3:
  Compare -94 and -32
  No swap needed
  Compare -32 and -13
  No swap needed
  Compare -13 and -99
  Swap -13 and -99
  List after swap: [-94, -32, -99, -13, 16, 42]

Pass 4:
  Compare -94 and -32
  No swap needed
  Compare -32 and -99
  Swap -32 and -99
  List after swap: [-94, -99, -32, -13, 16, 42]

Pass 5:
  Compare -94 and -99
  Swap -94 and -99
  List after swap: [-99, -94, -32, -13, 16, 42]

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

Final sorted list: [-99, -94, -32, -13, 16, 42]
</think>

<response>-99, -94, -32, -13, 16, 42</response>


input: Using the bubble sort method, sort -46, -70, 46, -2, 66, -63, -27, 44, -91, -69 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-46, -70, 46, -2, 66, -63, -27, 44, -91, -69]

Pass 1:
  Compare -46 and -70
  Swap -46 and -70
  List after swap: [-70, -46, 46, -2, 66, -63, -27, 44, -91, -69]
  Compare -46 and 46
  No swap needed
  Compare 46 and -2
  Swap 46 and -2
  List after swap: [-70, -46, -2, 46, 66, -63, -27, 44, -91, -69]
  Compare 46 and 66
  No swap needed
  Compare 66 and -63
  Swap 66 and -63
  List after swap: [-70, -46, -2, 46, -63, 66, -27, 44, -91, -69]
  Compare 66 and -27
  Swap 66 and -27
  List after swap: [-70, -46, -2, 46, -63, -27, 66, 44, -91, -69]
  Compare 66 and 44
  Swap 66 and 44
  List after swap: [-70, -46, -2, 46, -63, -27, 44, 66, -91, -69]
  Compare 66 and -91
  Swap 66 and -91
  List after swap: [-70, -46, -2, 46, -63, -27, 44, -91, 66, -69]
  Compare 66 and -69
  Swap 66 and -69
  List after swap: [-70, -46, -2, 46, -63, -27, 44, -91, -69, 66]

Pass 2:
  Compare -70 and -46
  No swap needed
  Compare -46 and -2
  No swap needed
  Compare -2 and 46
  No swap needed
  Compare 46 and -63
  Swap 46 and -63
  List after swap: [-70, -46, -2, -63, 46, -27, 44, -91, -69, 66]
  Compare 46 and -27
  Swap 46 and -27
  List after swap: [-70, -46, -2, -63, -27, 46, 44, -91, -69, 66]
  Compare 46 and 44
  Swap 46 and 44
  List after swap: [-70, -46, -2, -63, -27, 44, 46, -91, -69, 66]
  Compare 46 and -91
  Swap 46 and -91
  List after swap: [-70, -46, -2, -63, -27, 44, -91, 46, -69, 66]
  Compare 46 and -69
  Swap 46 and -69
  List after swap: [-70, -46, -2, -63, -27, 44, -91, -69, 46, 66]

Pass 3:
  Compare -70 and -46
  No swap needed
  Compare -46 and -2
  No swap needed
  Compare -2 and -63
  Swap -2 and -63
  List after swap: [-70, -46, -63, -2, -27, 44, -91, -69, 46, 66]
  Compare -2 and -27
  Swap -2 and -27
  List after swap: [-70, -46, -63, -27, -2, 44, -91, -69, 46, 66]
  Compare -2 and 44
  No swap needed
  Compare 44 and -91
  Swap 44 and -91
  List after swap: [-70, -46, -63, -27, -2, -91, 44, -69, 46, 66]
  Compare 44 and -69
  Swap 44 and -69
  List after swap: [-70, -46, -63, -27, -2, -91, -69, 44, 46, 66]

Pass 4:
  Compare -70 and -46
  No swap needed
  Compare -46 and -63
  Swap -46 and -63
  List after swap: [-70, -63, -46, -27, -2, -91, -69, 44, 46, 66]
  Compare -46 and -27
  No swap needed
  Compare -27 and -2
  No swap needed
  Compare -2 and -91
  Swap -2 and -91
  List after swap: [-70, -63, -46, -27, -91, -2, -69, 44, 46, 66]
  Compare -2 and -69
  Swap -2 and -69
  List after swap: [-70, -63, -46, -27, -91, -69, -2, 44, 46, 66]

Pass 5:
  Compare -70 and -63
  No swap needed
  Compare -63 and -46
  No swap needed
  Compare -46 and -27
  No swap needed
  Compare -27 and -91
  Swap -27 and -91
  List after swap: [-70, -63, -46, -91, -27, -69, -2, 44, 46, 66]
  Compare -27 and -69
  Swap -27 and -69
  List after swap: [-70, -63, -46, -91, -69, -27, -2, 44, 46, 66]

Pass 6:
  Compare -70 and -63
  No swap needed
  Compare -63 and -46
  No swap needed
  Compare -46 and -91
  Swap -46 and -91
  List after swap: [-70, -63, -91, -46, -69, -27, -2, 44, 46, 66]
  Compare -46 and -69
  Swap -46 and -69
  List after swap: [-70, -63, -91, -69, -46, -27, -2, 44, 46, 66]

Pass 7:
  Compare -70 and -63
  No swap needed
  Compare -63 and -91
  Swap -63 and -91
  List after swap: [-70, -91, -63, -69, -46, -27, -2, 44, 46, 66]
  Compare -63 and -69
  Swap -63 and -69
  List after swap: [-70, -91, -69, -63, -46, -27, -2, 44, 46, 66]

Pass 8:
  Compare -70 and -91
  Swap -70 and -91
  List after swap: [-91, -70, -69, -63, -46, -27, -2, 44, 46, 66]
  Compare -70 and -69
  No swap needed

Pass 9:
  Compare -91 and -70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -70, -69, -63, -46, -27, -2, 44, 46, 66]
</think>

<response>-91, -70, -69, -63, -46, -27, -2, 44, 46, 66</response>


input: Execute bubble sort to sort -29, -14, -91, -36, -26, 54 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-29, -14, -91, -36, -26, 54]

Pass 1:
  Compare -29 and -14
  No swap needed
  Compare -14 and -91
  Swap -14 and -91
  List after swap: [-29, -91, -14, -36, -26, 54]
  Compare -14 and -36
  Swap -14 and -36
  List after swap: [-29, -91, -36, -14, -26, 54]
  Compare -14 and -26
  Swap -14 and -26
  List after swap: [-29, -91, -36, -26, -14, 54]
  Compare -14 and 54
  No swap needed

Pass 2:
  Compare -29 and -91
  Swap -29 and -91
  List after swap: [-91, -29, -36, -26, -14, 54]
  Compare -29 and -36
  Swap -29 and -36
  List after swap: [-91, -36, -29, -26, -14, 54]
  Compare -29 and -26
  No swap needed
  Compare -26 and -14
  No swap needed

Pass 3:
  Compare -91 and -36
  No swap needed
  Compare -36 and -29
  No swap needed
  Compare -29 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -36, -29, -26, -14, 54]
</think>

<response>-91, -36, -29, -26, -14, 54</response>


input: Using the bubble sort method, sort 60, -81, -53, 7 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [60, -81, -53, 7]

Pass 1:
  Compare 60 and -81
  Swap 60 and -81
  List after swap: [-81, 60, -53, 7]
  Compare 60 and -53
  Swap 60 and -53
  List after swap: [-81, -53, 60, 7]
  Compare 60 and 7
  Swap 60 and 7
  List after swap: [-81, -53, 7, 60]

Pass 2:
  Compare -81 and -53
  No swap needed
  Compare -53 and 7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -53, 7, 60]
</think>

<response>-81, -53, 7, 60</response>


input: Demonstrate how bubble sort orders the integers 72, -8, -10 in ascending sequence, showing all steps.

output:
<think>
Initial list: [72, -8, -10]

Pass 1:
  Compare 72 and -8
  Swap 72 and -8
  List after swap: [-8, 72, -10]
  Compare 72 and -10
  Swap 72 and -10
  List after swap: [-8, -10, 72]

Pass 2:
  Compare -8 and -10
  Swap -8 and -10
  List after swap: [-10, -8, 72]

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

Final sorted list: [-10, -8, 72]
</think>

<response>-10, -8, 72</response>


input: Using the bubble sort method, sort -28, 2, 62 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-28, 2, 62]

Pass 1:
  Compare -28 and 2
  No swap needed
  Compare 2 and 62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-28, 2, 62]
</think>

<response>-28, 2, 62</response>


input: Demonstrate how bubble sort orders the integers 98, -89, 29, -70, 84 in ascending sequence, showing all steps.

output:
<think>
Initial list: [98, -89, 29, -70, 84]

Pass 1:
  Compare 98 and -89
  Swap 98 and -89
  List after swap: [-89, 98, 29, -70, 84]
  Compare 98 and 29
  Swap 98 and 29
  List after swap: [-89, 29, 98, -70, 84]
  Compare 98 and -70
  Swap 98 and -70
  List after swap: [-89, 29, -70, 98, 84]
  Compare 98 and 84
  Swap 98 and 84
  List after swap: [-89, 29, -70, 84, 98]

Pass 2:
  Compare -89 and 29
  No swap needed
  Compare 29 and -70
  Swap 29 and -70
  List after swap: [-89, -70, 29, 84, 98]
  Compare 29 and 84
  No swap needed

Pass 3:
  Compare -89 and -70
  No swap needed
  Compare -70 and 29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -70, 29, 84, 98]
</think>

<response>-89, -70, 29, 84, 98</response>


input: Arrange the numbers -21, -23, 1, -14, -28, -54, 30, -55 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-21, -23, 1, -14, -28, -54, 30, -55]

Pass 1:
  Compare -21 and -23
  Swap -21 and -23
  List after swap: [-23, -21, 1, -14, -28, -54, 30, -55]
  Compare -21 and 1
  No swap needed
  Compare 1 and -14
  Swap 1 and -14
  List after swap: [-23, -21, -14, 1, -28, -54, 30, -55]
  Compare 1 and -28
  Swap 1 and -28
  List after swap: [-23, -21, -14, -28, 1, -54, 30, -55]
  Compare 1 and -54
  Swap 1 and -54
  List after swap: [-23, -21, -14, -28, -54, 1, 30, -55]
  Compare 1 and 30
  No swap needed
  Compare 30 and -55
  Swap 30 and -55
  List after swap: [-23, -21, -14, -28, -54, 1, -55, 30]

Pass 2:
  Compare -23 and -21
  No swap needed
  Compare -21 and -14
  No swap needed
  Compare -14 and -28
  Swap -14 and -28
  List after swap: [-23, -21, -28, -14, -54, 1, -55, 30]
  Compare -14 and -54
  Swap -14 and -54
  List after swap: [-23, -21, -28, -54, -14, 1, -55, 30]
  Compare -14 and 1
  No swap needed
  Compare 1 and -55
  Swap 1 and -55
  List after swap: [-23, -21, -28, -54, -14, -55, 1, 30]

Pass 3:
  Compare -23 and -21
  No swap needed
  Compare -21 and -28
  Swap -21 and -28
  List after swap: [-23, -28, -21, -54, -14, -55, 1, 30]
  Compare -21 and -54
  Swap -21 and -54
  List after swap: [-23, -28, -54, -21, -14, -55, 1, 30]
  Compare -21 and -14
  No swap needed
  Compare -14 and -55
  Swap -14 and -55
  List after swap: [-23, -28, -54, -21, -55, -14, 1, 30]

Pass 4:
  Compare -23 and -28
  Swap -23 and -28
  List after swap: [-28, -23, -54, -21, -55, -14, 1, 30]
  Compare -23 and -54
  Swap -23 and -54
  List after swap: [-28, -54, -23, -21, -55, -14, 1, 30]
  Compare -23 and -21
  No swap needed
  Compare -21 and -55
  Swap -21 and -55
  List after swap: [-28, -54, -23, -55, -21, -14, 1, 30]

Pass 5:
  Compare -28 and -54
  Swap -28 and -54
  List after swap: [-54, -28, -23, -55, -21, -14, 1, 30]
  Compare -28 and -23
  No swap needed
  Compare -23 and -55
  Swap -23 and -55
  List after swap: [-54, -28, -55, -23, -21, -14, 1, 30]

Pass 6:
  Compare -54 and -28
  No swap needed
  Compare -28 and -55
  Swap -28 and -55
  List after swap: [-54, -55, -28, -23, -21, -14, 1, 30]

Pass 7:
  Compare -54 and -55
  Swap -54 and -55
  List after swap: [-55, -54, -28, -23, -21, -14, 1, 30]

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

Final sorted list: [-55, -54, -28, -23, -21, -14, 1, 30]
</think>

<response>-55, -54, -28, -23, -21, -14, 1, 30</response>


input: Implement bubble sort on 5, 56 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [5, 56]

Pass 1:
  Compare 5 and 56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [5, 56]
</think>

<response>5, 56</response>


input: Carry out the bubble sort algorithm on 41, -51, 30, -36, -45, -57, 88, 10 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [41, -51, 30, -36, -45, -57, 88, 10]

Pass 1:
  Compare 41 and -51
  Swap 41 and -51
  List after swap: [-51, 41, 30, -36, -45, -57, 88, 10]
  Compare 41 and 30
  Swap 41 and 30
  List after swap: [-51, 30, 41, -36, -45, -57, 88, 10]
  Compare 41 and -36
  Swap 41 and -36
  List after swap: [-51, 30, -36, 41, -45, -57, 88, 10]
  Compare 41 and -45
  Swap 41 and -45
  List after swap: [-51, 30, -36, -45, 41, -57, 88, 10]
  Compare 41 and -57
  Swap 41 and -57
  List after swap: [-51, 30, -36, -45, -57, 41, 88, 10]
  Compare 41 and 88
  No swap needed
  Compare 88 and 10
  Swap 88 and 10
  List after swap: [-51, 30, -36, -45, -57, 41, 10, 88]

Pass 2:
  Compare -51 and 30
  No swap needed
  Compare 30 and -36
  Swap 30 and -36
  List after swap: [-51, -36, 30, -45, -57, 41, 10, 88]
  Compare 30 and -45
  Swap 30 and -45
  List after swap: [-51, -36, -45, 30, -57, 41, 10, 88]
  Compare 30 and -57
  Swap 30 and -57
  List after swap: [-51, -36, -45, -57, 30, 41, 10, 88]
  Compare 30 and 41
  No swap needed
  Compare 41 and 10
  Swap 41 and 10
  List after swap: [-51, -36, -45, -57, 30, 10, 41, 88]

Pass 3:
  Compare -51 and -36
  No swap needed
  Compare -36 and -45
  Swap -36 and -45
  List after swap: [-51, -45, -36, -57, 30, 10, 41, 88]
  Compare -36 and -57
  Swap -36 and -57
  List after swap: [-51, -45, -57, -36, 30, 10, 41, 88]
  Compare -36 and 30
  No swap needed
  Compare 30 and 10
  Swap 30 and 10
  List after swap: [-51, -45, -57, -36, 10, 30, 41, 88]

Pass 4:
  Compare -51 and -45
  No swap needed
  Compare -45 and -57
  Swap -45 and -57
  List after swap: [-51, -57, -45, -36, 10, 30, 41, 88]
  Compare -45 and -36
  No swap needed
  Compare -36 and 10
  No swap needed

Pass 5:
  Compare -51 and -57
  Swap -51 and -57
  List after swap: [-57, -51, -45, -36, 10, 30, 41, 88]
  Compare -51 and -45
  No swap needed
  Compare -45 and -36
  No swap needed

Pass 6:
  Compare -57 and -51
  No swap needed
  Compare -51 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -51, -45, -36, 10, 30, 41, 88]
</think>

<response>-57, -51, -45, -36, 10, 30, 41, 88</response>


input: Implement bubble sort on -19, 85, -87, -21, 58 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-19, 85, -87, -21, 58]

Pass 1:
  Compare -19 and 85
  No swap needed
  Compare 85 and -87
  Swap 85 and -87
  List after swap: [-19, -87, 85, -21, 58]
  Compare 85 and -21
  Swap 85 and -21
  List after swap: [-19, -87, -21, 85, 58]
  Compare 85 and 58
  Swap 85 and 58
  List after swap: [-19, -87, -21, 58, 85]

Pass 2:
  Compare -19 and -87
  Swap -19 and -87
  List after swap: [-87, -19, -21, 58, 85]
  Compare -19 and -21
  Swap -19 and -21
  List after swap: [-87, -21, -19, 58, 85]
  Compare -19 and 58
  No swap needed

Pass 3:
  Compare -87 and -21
  No swap needed
  Compare -21 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -21, -19, 58, 85]
</think>

<response>-87, -21, -19, 58, 85</response>


input: Carry out the bubble sort algorithm on 48, -79, 12, 14, -6, 54, 81, -67, 50 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [48, -79, 12, 14, -6, 54, 81, -67, 50]

Pass 1:
  Compare 48 and -79
  Swap 48 and -79
  List after swap: [-79, 48, 12, 14, -6, 54, 81, -67, 50]
  Compare 48 and 12
  Swap 48 and 12
  List after swap: [-79, 12, 48, 14, -6, 54, 81, -67, 50]
  Compare 48 and 14
  Swap 48 and 14
  List after swap: [-79, 12, 14, 48, -6, 54, 81, -67, 50]
  Compare 48 and -6
  Swap 48 and -6
  List after swap: [-79, 12, 14, -6, 48, 54, 81, -67, 50]
  Compare 48 and 54
  No swap needed
  Compare 54 and 81
  No swap needed
  Compare 81 and -67
  Swap 81 and -67
  List after swap: [-79, 12, 14, -6, 48, 54, -67, 81, 50]
  Compare 81 and 50
  Swap 81 and 50
  List after swap: [-79, 12, 14, -6, 48, 54, -67, 50, 81]

Pass 2:
  Compare -79 and 12
  No swap needed
  Compare 12 and 14
  No swap needed
  Compare 14 and -6
  Swap 14 and -6
  List after swap: [-79, 12, -6, 14, 48, 54, -67, 50, 81]
  Compare 14 and 48
  No swap needed
  Compare 48 and 54
  No swap needed
  Compare 54 and -67
  Swap 54 and -67
  List after swap: [-79, 12, -6, 14, 48, -67, 54, 50, 81]
  Compare 54 and 50
  Swap 54 and 50
  List after swap: [-79, 12, -6, 14, 48, -67, 50, 54, 81]

Pass 3:
  Compare -79 and 12
  No swap needed
  Compare 12 and -6
  Swap 12 and -6
  List after swap: [-79, -6, 12, 14, 48, -67, 50, 54, 81]
  Compare 12 and 14
  No swap needed
  Compare 14 and 48
  No swap needed
  Compare 48 and -67
  Swap 48 and -67
  List after swap: [-79, -6, 12, 14, -67, 48, 50, 54, 81]
  Compare 48 and 50
  No swap needed

Pass 4:
  Compare -79 and -6
  No swap needed
  Compare -6 and 12
  No swap needed
  Compare 12 and 14
  No swap needed
  Compare 14 and -67
  Swap 14 and -67
  List after swap: [-79, -6, 12, -67, 14, 48, 50, 54, 81]
  Compare 14 and 48
  No swap needed

Pass 5:
  Compare -79 and -6
  No swap needed
  Compare -6 and 12
  No swap needed
  Compare 12 and -67
  Swap 12 and -67
  List after swap: [-79, -6, -67, 12, 14, 48, 50, 54, 81]
  Compare 12 and 14
  No swap needed

Pass 6:
  Compare -79 and -6
  No swap needed
  Compare -6 and -67
  Swap -6 and -67
  List after swap: [-79, -67, -6, 12, 14, 48, 50, 54, 81]
  Compare -6 and 12
  No swap needed

Pass 7:
  Compare -79 and -67
  No swap needed
  Compare -67 and -6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -67, -6, 12, 14, 48, 50, 54, 81]
</think>

<response>-79, -67, -6, 12, 14, 48, 50, 54, 81</response>


input: Using the bubble sort method, sort 9, 74, 71, 57, -93, -37, 68 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [9, 74, 71, 57, -93, -37, 68]

Pass 1:
  Compare 9 and 74
  No swap needed
  Compare 74 and 71
  Swap 74 and 71
  List after swap: [9, 71, 74, 57, -93, -37, 68]
  Compare 74 and 57
  Swap 74 and 57
  List after swap: [9, 71, 57, 74, -93, -37, 68]
  Compare 74 and -93
  Swap 74 and -93
  List after swap: [9, 71, 57, -93, 74, -37, 68]
  Compare 74 and -37
  Swap 74 and -37
  List after swap: [9, 71, 57, -93, -37, 74, 68]
  Compare 74 and 68
  Swap 74 and 68
  List after swap: [9, 71, 57, -93, -37, 68, 74]

Pass 2:
  Compare 9 and 71
  No swap needed
  Compare 71 and 57
  Swap 71 and 57
  List after swap: [9, 57, 71, -93, -37, 68, 74]
  Compare 71 and -93
  Swap 71 and -93
  List after swap: [9, 57, -93, 71, -37, 68, 74]
  Compare 71 and -37
  Swap 71 and -37
  List after swap: [9, 57, -93, -37, 71, 68, 74]
  Compare 71 and 68
  Swap 71 and 68
  List after swap: [9, 57, -93, -37, 68, 71, 74]

Pass 3:
  Compare 9 and 57
  No swap needed
  Compare 57 and -93
  Swap 57 and -93
  List after swap: [9, -93, 57, -37, 68, 71, 74]
  Compare 57 and -37
  Swap 57 and -37
  List after swap: [9, -93, -37, 57, 68, 71, 74]
  Compare 57 and 68
  No swap needed

Pass 4:
  Compare 9 and -93
  Swap 9 and -93
  List after swap: [-93, 9, -37, 57, 68, 71, 74]
  Compare 9 and -37
  Swap 9 and -37
  List after swap: [-93, -37, 9, 57, 68, 71, 74]
  Compare 9 and 57
  No swap needed

Pass 5:
  Compare -93 and -37
  No swap needed
  Compare -37 and 9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -37, 9, 57, 68, 71, 74]
</think>

<response>-93, -37, 9, 57, 68, 71, 74</response>


input: Using the bubble sort method, sort 6, 86, -43, 37, -33, -60 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [6, 86, -43, 37, -33, -60]

Pass 1:
  Compare 6 and 86
  No swap needed
  Compare 86 and -43
  Swap 86 and -43
  List after swap: [6, -43, 86, 37, -33, -60]
  Compare 86 and 37
  Swap 86 and 37
  List after swap: [6, -43, 37, 86, -33, -60]
  Compare 86 and -33
  Swap 86 and -33
  List after swap: [6, -43, 37, -33, 86, -60]
  Compare 86 and -60
  Swap 86 and -60
  List after swap: [6, -43, 37, -33, -60, 86]

Pass 2:
  Compare 6 and -43
  Swap 6 and -43
  List after swap: [-43, 6, 37, -33, -60, 86]
  Compare 6 and 37
  No swap needed
  Compare 37 and -33
  Swap 37 and -33
  List after swap: [-43, 6, -33, 37, -60, 86]
  Compare 37 and -60
  Swap 37 and -60
  List after swap: [-43, 6, -33, -60, 37, 86]

Pass 3:
  Compare -43 and 6
  No swap needed
  Compare 6 and -33
  Swap 6 and -33
  List after swap: [-43, -33, 6, -60, 37, 86]
  Compare 6 and -60
  Swap 6 and -60
  List after swap: [-43, -33, -60, 6, 37, 86]

Pass 4:
  Compare -43 and -33
  No swap needed
  Compare -33 and -60
  Swap -33 and -60
  List after swap: [-43, -60, -33, 6, 37, 86]

Pass 5:
  Compare -43 and -60
  Swap -43 and -60
  List after swap: [-60, -43, -33, 6, 37, 86]

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

Final sorted list: [-60, -43, -33, 6, 37, 86]
</think>

<response>-60, -43, -33, 6, 37, 86</response>


input: Implement bubble sort on 98, 41, 47, 60, 44, -53 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [98, 41, 47, 60, 44, -53]

Pass 1:
  Compare 98 and 41
  Swap 98 and 41
  List after swap: [41, 98, 47, 60, 44, -53]
  Compare 98 and 47
  Swap 98 and 47
  List after swap: [41, 47, 98, 60, 44, -53]
  Compare 98 and 60
  Swap 98 and 60
  List after swap: [41, 47, 60, 98, 44, -53]
  Compare 98 and 44
  Swap 98 and 44
  List after swap: [41, 47, 60, 44, 98, -53]
  Compare 98 and -53
  Swap 98 and -53
  List after swap: [41, 47, 60, 44, -53, 98]

Pass 2:
  Compare 41 and 47
  No swap needed
  Compare 47 and 60
  No swap needed
  Compare 60 and 44
  Swap 60 and 44
  List after swap: [41, 47, 44, 60, -53, 98]
  Compare 60 and -53
  Swap 60 and -53
  List after swap: [41, 47, 44, -53, 60, 98]

Pass 3:
  Compare 41 and 47
  No swap needed
  Compare 47 and 44
  Swap 47 and 44
  List after swap: [41, 44, 47, -53, 60, 98]
  Compare 47 and -53
  Swap 47 and -53
  List after swap: [41, 44, -53, 47, 60, 98]

Pass 4:
  Compare 41 and 44
  No swap needed
  Compare 44 and -53
  Swap 44 and -53
  List after swap: [41, -53, 44, 47, 60, 98]

Pass 5:
  Compare 41 and -53
  Swap 41 and -53
  List after swap: [-53, 41, 44, 47, 60, 98]

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

Final sorted list: [-53, 41, 44, 47, 60, 98]
</think>

<response>-53, 41, 44, 47, 60, 98</response>


input: Arrange the numbers 62, 25, -12, 14, 82, -21, 80, -82 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [62, 25, -12, 14, 82, -21, 80, -82]

Pass 1:
  Compare 62 and 25
  Swap 62 and 25
  List after swap: [25, 62, -12, 14, 82, -21, 80, -82]
  Compare 62 and -12
  Swap 62 and -12
  List after swap: [25, -12, 62, 14, 82, -21, 80, -82]
  Compare 62 and 14
  Swap 62 and 14
  List after swap: [25, -12, 14, 62, 82, -21, 80, -82]
  Compare 62 and 82
  No swap needed
  Compare 82 and -21
  Swap 82 and -21
  List after swap: [25, -12, 14, 62, -21, 82, 80, -82]
  Compare 82 and 80
  Swap 82 and 80
  List after swap: [25, -12, 14, 62, -21, 80, 82, -82]
  Compare 82 and -82
  Swap 82 and -82
  List after swap: [25, -12, 14, 62, -21, 80, -82, 82]

Pass 2:
  Compare 25 and -12
  Swap 25 and -12
  List after swap: [-12, 25, 14, 62, -21, 80, -82, 82]
  Compare 25 and 14
  Swap 25 and 14
  List after swap: [-12, 14, 25, 62, -21, 80, -82, 82]
  Compare 25 and 62
  No swap needed
  Compare 62 and -21
  Swap 62 and -21
  List after swap: [-12, 14, 25, -21, 62, 80, -82, 82]
  Compare 62 and 80
  No swap needed
  Compare 80 and -82
  Swap 80 and -82
  List after swap: [-12, 14, 25, -21, 62, -82, 80, 82]

Pass 3:
  Compare -12 and 14
  No swap needed
  Compare 14 and 25
  No swap needed
  Compare 25 and -21
  Swap 25 and -21
  List after swap: [-12, 14, -21, 25, 62, -82, 80, 82]
  Compare 25 and 62
  No swap needed
  Compare 62 and -82
  Swap 62 and -82
  List after swap: [-12, 14, -21, 25, -82, 62, 80, 82]

Pass 4:
  Compare -12 and 14
  No swap needed
  Compare 14 and -21
  Swap 14 and -21
  List after swap: [-12, -21, 14, 25, -82, 62, 80, 82]
  Compare 14 and 25
  No swap needed
  Compare 25 and -82
  Swap 25 and -82
  List after swap: [-12, -21, 14, -82, 25, 62, 80, 82]

Pass 5:
  Compare -12 and -21
  Swap -12 and -21
  List after swap: [-21, -12, 14, -82, 25, 62, 80, 82]
  Compare -12 and 14
  No swap needed
  Compare 14 and -82
  Swap 14 and -82
  List after swap: [-21, -12, -82, 14, 25, 62, 80, 82]

Pass 6:
  Compare -21 and -12
  No swap needed
  Compare -12 and -82
  Swap -12 and -82
  List after swap: [-21, -82, -12, 14, 25, 62, 80, 82]

Pass 7:
  Compare -21 and -82
  Swap -21 and -82
  List after swap: [-82, -21, -12, 14, 25, 62, 80, 82]

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

Final sorted list: [-82, -21, -12, 14, 25, 62, 80, 82]
</think>

<response>-82, -21, -12, 14, 25, 62, 80, 82</response>


input: Execute bubble sort to sort 30, 90 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [30, 90]

Pass 1:
  Compare 30 and 90
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [30, 90]
</think>

<response>30, 90</response>


input: Execute bubble sort to sort -78, -85, 22, -20, -64, -100, 20, 96, -98 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-78, -85, 22, -20, -64, -100, 20, 96, -98]

Pass 1:
  Compare -78 and -85
  Swap -78 and -85
  List after swap: [-85, -78, 22, -20, -64, -100, 20, 96, -98]
  Compare -78 and 22
  No swap needed
  Compare 22 and -20
  Swap 22 and -20
  List after swap: [-85, -78, -20, 22, -64, -100, 20, 96, -98]
  Compare 22 and -64
  Swap 22 and -64
  List after swap: [-85, -78, -20, -64, 22, -100, 20, 96, -98]
  Compare 22 and -100
  Swap 22 and -100
  List after swap: [-85, -78, -20, -64, -100, 22, 20, 96, -98]
  Compare 22 and 20
  Swap 22 and 20
  List after swap: [-85, -78, -20, -64, -100, 20, 22, 96, -98]
  Compare 22 and 96
  No swap needed
  Compare 96 and -98
  Swap 96 and -98
  List after swap: [-85, -78, -20, -64, -100, 20, 22, -98, 96]

Pass 2:
  Compare -85 and -78
  No swap needed
  Compare -78 and -20
  No swap needed
  Compare -20 and -64
  Swap -20 and -64
  List after swap: [-85, -78, -64, -20, -100, 20, 22, -98, 96]
  Compare -20 and -100
  Swap -20 and -100
  List after swap: [-85, -78, -64, -100, -20, 20, 22, -98, 96]
  Compare -20 and 20
  No swap needed
  Compare 20 and 22
  No swap needed
  Compare 22 and -98
  Swap 22 and -98
  List after swap: [-85, -78, -64, -100, -20, 20, -98, 22, 96]

Pass 3:
  Compare -85 and -78
  No swap needed
  Compare -78 and -64
  No swap needed
  Compare -64 and -100
  Swap -64 and -100
  List after swap: [-85, -78, -100, -64, -20, 20, -98, 22, 96]
  Compare -64 and -20
  No swap needed
  Compare -20 and 20
  No swap needed
  Compare 20 and -98
  Swap 20 and -98
  List after swap: [-85, -78, -100, -64, -20, -98, 20, 22, 96]

Pass 4:
  Compare -85 and -78
  No swap needed
  Compare -78 and -100
  Swap -78 and -100
  List after swap: [-85, -100, -78, -64, -20, -98, 20, 22, 96]
  Compare -78 and -64
  No swap needed
  Compare -64 and -20
  No swap needed
  Compare -20 and -98
  Swap -20 and -98
  List after swap: [-85, -100, -78, -64, -98, -20, 20, 22, 96]

Pass 5:
  Compare -85 and -100
  Swap -85 and -100
  List after swap: [-100, -85, -78, -64, -98, -20, 20, 22, 96]
  Compare -85 and -78
  No swap needed
  Compare -78 and -64
  No swap needed
  Compare -64 and -98
  Swap -64 and -98
  List after swap: [-100, -85, -78, -98, -64, -20, 20, 22, 96]

Pass 6:
  Compare -100 and -85
  No swap needed
  Compare -85 and -78
  No swap needed
  Compare -78 and -98
  Swap -78 and -98
  List after swap: [-100, -85, -98, -78, -64, -20, 20, 22, 96]

Pass 7:
  Compare -100 and -85
  No swap needed
  Compare -85 and -98
  Swap -85 and -98
  List after swap: [-100, -98, -85, -78, -64, -20, 20, 22, 96]

Pass 8:
  Compare -100 and -98
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -98, -85, -78, -64, -20, 20, 22, 96]
</think>

<response>-100, -98, -85, -78, -64, -20, 20, 22, 96</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 75, -96, -21, 22, 29, 98, -46, 24, 27.

output:
<think>
Initial list: [75, -96, -21, 22, 29, 98, -46, 24, 27]

Pass 1:
  Compare 75 and -96
  Swap 75 and -96
  List after swap: [-96, 75, -21, 22, 29, 98, -46, 24, 27]
  Compare 75 and -21
  Swap 75 and -21
  List after swap: [-96, -21, 75, 22, 29, 98, -46, 24, 27]
  Compare 75 and 22
  Swap 75 and 22
  List after swap: [-96, -21, 22, 75, 29, 98, -46, 24, 27]
  Compare 75 and 29
  Swap 75 and 29
  List after swap: [-96, -21, 22, 29, 75, 98, -46, 24, 27]
  Compare 75 and 98
  No swap needed
  Compare 98 and -46
  Swap 98 and -46
  List after swap: [-96, -21, 22, 29, 75, -46, 98, 24, 27]
  Compare 98 and 24
  Swap 98 and 24
  List after swap: [-96, -21, 22, 29, 75, -46, 24, 98, 27]
  Compare 98 and 27
  Swap 98 and 27
  List after swap: [-96, -21, 22, 29, 75, -46, 24, 27, 98]

Pass 2:
  Compare -96 and -21
  No swap needed
  Compare -21 and 22
  No swap needed
  Compare 22 and 29
  No swap needed
  Compare 29 and 75
  No swap needed
  Compare 75 and -46
  Swap 75 and -46
  List after swap: [-96, -21, 22, 29, -46, 75, 24, 27, 98]
  Compare 75 and 24
  Swap 75 and 24
  List after swap: [-96, -21, 22, 29, -46, 24, 75, 27, 98]
  Compare 75 and 27
  Swap 75 and 27
  List after swap: [-96, -21, 22, 29, -46, 24, 27, 75, 98]

Pass 3:
  Compare -96 and -21
  No swap needed
  Compare -21 and 22
  No swap needed
  Compare 22 and 29
  No swap needed
  Compare 29 and -46
  Swap 29 and -46
  List after swap: [-96, -21, 22, -46, 29, 24, 27, 75, 98]
  Compare 29 and 24
  Swap 29 and 24
  List after swap: [-96, -21, 22, -46, 24, 29, 27, 75, 98]
  Compare 29 and 27
  Swap 29 and 27
  List after swap: [-96, -21, 22, -46, 24, 27, 29, 75, 98]

Pass 4:
  Compare -96 and -21
  No swap needed
  Compare -21 and 22
  No swap needed
  Compare 22 and -46
  Swap 22 and -46
  List after swap: [-96, -21, -46, 22, 24, 27, 29, 75, 98]
  Compare 22 and 24
  No swap needed
  Compare 24 and 27
  No swap needed

Pass 5:
  Compare -96 and -21
  No swap needed
  Compare -21 and -46
  Swap -21 and -46
  List after swap: [-96, -46, -21, 22, 24, 27, 29, 75, 98]
  Compare -21 and 22
  No swap needed
  Compare 22 and 24
  No swap needed

Pass 6:
  Compare -96 and -46
  No swap needed
  Compare -46 and -21
  No swap needed
  Compare -21 and 22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -46, -21, 22, 24, 27, 29, 75, 98]
</think>

<response>-96, -46, -21, 22, 24, 27, 29, 75, 98</response>


input: Execute bubble sort to sort 53, -38, 92, -77, -62, 66 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [53, -38, 92, -77, -62, 66]

Pass 1:
  Compare 53 and -38
  Swap 53 and -38
  List after swap: [-38, 53, 92, -77, -62, 66]
  Compare 53 and 92
  No swap needed
  Compare 92 and -77
  Swap 92 and -77
  List after swap: [-38, 53, -77, 92, -62, 66]
  Compare 92 and -62
  Swap 92 and -62
  List after swap: [-38, 53, -77, -62, 92, 66]
  Compare 92 and 66
  Swap 92 and 66
  List after swap: [-38, 53, -77, -62, 66, 92]

Pass 2:
  Compare -38 and 53
  No swap needed
  Compare 53 and -77
  Swap 53 and -77
  List after swap: [-38, -77, 53, -62, 66, 92]
  Compare 53 and -62
  Swap 53 and -62
  List after swap: [-38, -77, -62, 53, 66, 92]
  Compare 53 and 66
  No swap needed

Pass 3:
  Compare -38 and -77
  Swap -38 and -77
  List after swap: [-77, -38, -62, 53, 66, 92]
  Compare -38 and -62
  Swap -38 and -62
  List after swap: [-77, -62, -38, 53, 66, 92]
  Compare -38 and 53
  No swap needed

Pass 4:
  Compare -77 and -62
  No swap needed
  Compare -62 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -62, -38, 53, 66, 92]
</think>

<response>-77, -62, -38, 53, 66, 92</response>


input: Arrange the numbers 95, 24, -43, 31, 18, -18, 57, 72, -47, 65 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [95, 24, -43, 31, 18, -18, 57, 72, -47, 65]

Pass 1:
  Compare 95 and 24
  Swap 95 and 24
  List after swap: [24, 95, -43, 31, 18, -18, 57, 72, -47, 65]
  Compare 95 and -43
  Swap 95 and -43
  List after swap: [24, -43, 95, 31, 18, -18, 57, 72, -47, 65]
  Compare 95 and 31
  Swap 95 and 31
  List after swap: [24, -43, 31, 95, 18, -18, 57, 72, -47, 65]
  Compare 95 and 18
  Swap 95 and 18
  List after swap: [24, -43, 31, 18, 95, -18, 57, 72, -47, 65]
  Compare 95 and -18
  Swap 95 and -18
  List after swap: [24, -43, 31, 18, -18, 95, 57, 72, -47, 65]
  Compare 95 and 57
  Swap 95 and 57
  List after swap: [24, -43, 31, 18, -18, 57, 95, 72, -47, 65]
  Compare 95 and 72
  Swap 95 and 72
  List after swap: [24, -43, 31, 18, -18, 57, 72, 95, -47, 65]
  Compare 95 and -47
  Swap 95 and -47
  List after swap: [24, -43, 31, 18, -18, 57, 72, -47, 95, 65]
  Compare 95 and 65
  Swap 95 and 65
  List after swap: [24, -43, 31, 18, -18, 57, 72, -47, 65, 95]

Pass 2:
  Compare 24 and -43
  Swap 24 and -43
  List after swap: [-43, 24, 31, 18, -18, 57, 72, -47, 65, 95]
  Compare 24 and 31
  No swap needed
  Compare 31 and 18
  Swap 31 and 18
  List after swap: [-43, 24, 18, 31, -18, 57, 72, -47, 65, 95]
  Compare 31 and -18
  Swap 31 and -18
  List after swap: [-43, 24, 18, -18, 31, 57, 72, -47, 65, 95]
  Compare 31 and 57
  No swap needed
  Compare 57 and 72
  No swap needed
  Compare 72 and -47
  Swap 72 and -47
  List after swap: [-43, 24, 18, -18, 31, 57, -47, 72, 65, 95]
  Compare 72 and 65
  Swap 72 and 65
  List after swap: [-43, 24, 18, -18, 31, 57, -47, 65, 72, 95]

Pass 3:
  Compare -43 and 24
  No swap needed
  Compare 24 and 18
  Swap 24 and 18
  List after swap: [-43, 18, 24, -18, 31, 57, -47, 65, 72, 95]
  Compare 24 and -18
  Swap 24 and -18
  List after swap: [-43, 18, -18, 24, 31, 57, -47, 65, 72, 95]
  Compare 24 and 31
  No swap needed
  Compare 31 and 57
  No swap needed
  Compare 57 and -47
  Swap 57 and -47
  List after swap: [-43, 18, -18, 24, 31, -47, 57, 65, 72, 95]
  Compare 57 and 65
  No swap needed

Pass 4:
  Compare -43 and 18
  No swap needed
  Compare 18 and -18
  Swap 18 and -18
  List after swap: [-43, -18, 18, 24, 31, -47, 57, 65, 72, 95]
  Compare 18 and 24
  No swap needed
  Compare 24 and 31
  No swap needed
  Compare 31 and -47
  Swap 31 and -47
  List after swap: [-43, -18, 18, 24, -47, 31, 57, 65, 72, 95]
  Compare 31 and 57
  No swap needed

Pass 5:
  Compare -43 and -18
  No swap needed
  Compare -18 and 18
  No swap needed
  Compare 18 and 24
  No swap needed
  Compare 24 and -47
  Swap 24 and -47
  List after swap: [-43, -18, 18, -47, 24, 31, 57, 65, 72, 95]
  Compare 24 and 31
  No swap needed

Pass 6:
  Compare -43 and -18
  No swap needed
  Compare -18 and 18
  No swap needed
  Compare 18 and -47
  Swap 18 and -47
  List after swap: [-43, -18, -47, 18, 24, 31, 57, 65, 72, 95]
  Compare 18 and 24
  No swap needed

Pass 7:
  Compare -43 and -18
  No swap needed
  Compare -18 and -47
  Swap -18 and -47
  List after swap: [-43, -47, -18, 18, 24, 31, 57, 65, 72, 95]
  Compare -18 and 18
  No swap needed

Pass 8:
  Compare -43 and -47
  Swap -43 and -47
  List after swap: [-47, -43, -18, 18, 24, 31, 57, 65, 72, 95]
  Compare -43 and -18
  No swap needed

Pass 9:
  Compare -47 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-47, -43, -18, 18, 24, 31, 57, 65, 72, 95]
</think>

<response>-47, -43, -18, 18, 24, 31, 57, 65, 72, 95</response>


input: Sort the list 78, -13, 29, -91, 97, -45, 31, 8, 90 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [78, -13, 29, -91, 97, -45, 31, 8, 90]

Pass 1:
  Compare 78 and -13
  Swap 78 and -13
  List after swap: [-13, 78, 29, -91, 97, -45, 31, 8, 90]
  Compare 78 and 29
  Swap 78 and 29
  List after swap: [-13, 29, 78, -91, 97, -45, 31, 8, 90]
  Compare 78 and -91
  Swap 78 and -91
  List after swap: [-13, 29, -91, 78, 97, -45, 31, 8, 90]
  Compare 78 and 97
  No swap needed
  Compare 97 and -45
  Swap 97 and -45
  List after swap: [-13, 29, -91, 78, -45, 97, 31, 8, 90]
  Compare 97 and 31
  Swap 97 and 31
  List after swap: [-13, 29, -91, 78, -45, 31, 97, 8, 90]
  Compare 97 and 8
  Swap 97 and 8
  List after swap: [-13, 29, -91, 78, -45, 31, 8, 97, 90]
  Compare 97 and 90
  Swap 97 and 90
  List after swap: [-13, 29, -91, 78, -45, 31, 8, 90, 97]

Pass 2:
  Compare -13 and 29
  No swap needed
  Compare 29 and -91
  Swap 29 and -91
  List after swap: [-13, -91, 29, 78, -45, 31, 8, 90, 97]
  Compare 29 and 78
  No swap needed
  Compare 78 and -45
  Swap 78 and -45
  List after swap: [-13, -91, 29, -45, 78, 31, 8, 90, 97]
  Compare 78 and 31
  Swap 78 and 31
  List after swap: [-13, -91, 29, -45, 31, 78, 8, 90, 97]
  Compare 78 and 8
  Swap 78 and 8
  List after swap: [-13, -91, 29, -45, 31, 8, 78, 90, 97]
  Compare 78 and 90
  No swap needed

Pass 3:
  Compare -13 and -91
  Swap -13 and -91
  List after swap: [-91, -13, 29, -45, 31, 8, 78, 90, 97]
  Compare -13 and 29
  No swap needed
  Compare 29 and -45
  Swap 29 and -45
  List after swap: [-91, -13, -45, 29, 31, 8, 78, 90, 97]
  Compare 29 and 31
  No swap needed
  Compare 31 and 8
  Swap 31 and 8
  List after swap: [-91, -13, -45, 29, 8, 31, 78, 90, 97]
  Compare 31 and 78
  No swap needed

Pass 4:
  Compare -91 and -13
  No swap needed
  Compare -13 and -45
  Swap -13 and -45
  List after swap: [-91, -45, -13, 29, 8, 31, 78, 90, 97]
  Compare -13 and 29
  No swap needed
  Compare 29 and 8
  Swap 29 and 8
  List after swap: [-91, -45, -13, 8, 29, 31, 78, 90, 97]
  Compare 29 and 31
  No swap needed

Pass 5:
  Compare -91 and -45
  No swap needed
  Compare -45 and -13
  No swap needed
  Compare -13 and 8
  No swap needed
  Compare 8 and 29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -45, -13, 8, 29, 31, 78, 90, 97]
</think>

<response>-91, -45, -13, 8, 29, 31, 78, 90, 97</response>


input: Perform a bubble sort on the integers 18, 98, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [18, 98]

Pass 1:
  Compare 18 and 98
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [18, 98]
</think>

<response>18, 98</response>


input: Execute bubble sort to sort -71, 4 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-71, 4]

Pass 1:
  Compare -71 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, 4]
</think>

<response>-71, 4</response>


input: Carry out the bubble sort algorithm on -77, -98, 93, 86, -27 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-77, -98, 93, 86, -27]

Pass 1:
  Compare -77 and -98
  Swap -77 and -98
  List after swap: [-98, -77, 93, 86, -27]
  Compare -77 and 93
  No swap needed
  Compare 93 and 86
  Swap 93 and 86
  List after swap: [-98, -77, 86, 93, -27]
  Compare 93 and -27
  Swap 93 and -27
  List after swap: [-98, -77, 86, -27, 93]

Pass 2:
  Compare -98 and -77
  No swap needed
  Compare -77 and 86
  No swap needed
  Compare 86 and -27
  Swap 86 and -27
  List after swap: [-98, -77, -27, 86, 93]

Pass 3:
  Compare -98 and -77
  No swap needed
  Compare -77 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -77, -27, 86, 93]
</think>

<response>-98, -77, -27, 86, 93</response>


input: Sort these integers 22, 10 in ascending order with bubble sort, clearly listing every step involved.

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

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

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

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

<response>10, 22</response>


input: Execute bubble sort to sort -99, -40, 21, -56, 64, -55, -58, 44, -35 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-99, -40, 21, -56, 64, -55, -58, 44, -35]

Pass 1:
  Compare -99 and -40
  No swap needed
  Compare -40 and 21
  No swap needed
  Compare 21 and -56
  Swap 21 and -56
  List after swap: [-99, -40, -56, 21, 64, -55, -58, 44, -35]
  Compare 21 and 64
  No swap needed
  Compare 64 and -55
  Swap 64 and -55
  List after swap: [-99, -40, -56, 21, -55, 64, -58, 44, -35]
  Compare 64 and -58
  Swap 64 and -58
  List after swap: [-99, -40, -56, 21, -55, -58, 64, 44, -35]
  Compare 64 and 44
  Swap 64 and 44
  List after swap: [-99, -40, -56, 21, -55, -58, 44, 64, -35]
  Compare 64 and -35
  Swap 64 and -35
  List after swap: [-99, -40, -56, 21, -55, -58, 44, -35, 64]

Pass 2:
  Compare -99 and -40
  No swap needed
  Compare -40 and -56
  Swap -40 and -56
  List after swap: [-99, -56, -40, 21, -55, -58, 44, -35, 64]
  Compare -40 and 21
  No swap needed
  Compare 21 and -55
  Swap 21 and -55
  List after swap: [-99, -56, -40, -55, 21, -58, 44, -35, 64]
  Compare 21 and -58
  Swap 21 and -58
  List after swap: [-99, -56, -40, -55, -58, 21, 44, -35, 64]
  Compare 21 and 44
  No swap needed
  Compare 44 and -35
  Swap 44 and -35
  List after swap: [-99, -56, -40, -55, -58, 21, -35, 44, 64]

Pass 3:
  Compare -99 and -56
  No swap needed
  Compare -56 and -40
  No swap needed
  Compare -40 and -55
  Swap -40 and -55
  List after swap: [-99, -56, -55, -40, -58, 21, -35, 44, 64]
  Compare -40 and -58
  Swap -40 and -58
  List after swap: [-99, -56, -55, -58, -40, 21, -35, 44, 64]
  Compare -40 and 21
  No swap needed
  Compare 21 and -35
  Swap 21 and -35
  List after swap: [-99, -56, -55, -58, -40, -35, 21, 44, 64]

Pass 4:
  Compare -99 and -56
  No swap needed
  Compare -56 and -55
  No swap needed
  Compare -55 and -58
  Swap -55 and -58
  List after swap: [-99, -56, -58, -55, -40, -35, 21, 44, 64]
  Compare -55 and -40
  No swap needed
  Compare -40 and -35
  No swap needed

Pass 5:
  Compare -99 and -56
  No swap needed
  Compare -56 and -58
  Swap -56 and -58
  List after swap: [-99, -58, -56, -55, -40, -35, 21, 44, 64]
  Compare -56 and -55
  No swap needed
  Compare -55 and -40
  No swap needed

Pass 6:
  Compare -99 and -58
  No swap needed
  Compare -58 and -56
  No swap needed
  Compare -56 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -58, -56, -55, -40, -35, 21, 44, 64]
</think>

<response>-99, -58, -56, -55, -40, -35, 21, 44, 64</response>


input: Perform a bubble sort on the integers -75, 36, 77, 23, -32, 62, -52, -29, -22, -84, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-75, 36, 77, 23, -32, 62, -52, -29, -22, -84]

Pass 1:
  Compare -75 and 36
  No swap needed
  Compare 36 and 77
  No swap needed
  Compare 77 and 23
  Swap 77 and 23
  List after swap: [-75, 36, 23, 77, -32, 62, -52, -29, -22, -84]
  Compare 77 and -32
  Swap 77 and -32
  List after swap: [-75, 36, 23, -32, 77, 62, -52, -29, -22, -84]
  Compare 77 and 62
  Swap 77 and 62
  List after swap: [-75, 36, 23, -32, 62, 77, -52, -29, -22, -84]
  Compare 77 and -52
  Swap 77 and -52
  List after swap: [-75, 36, 23, -32, 62, -52, 77, -29, -22, -84]
  Compare 77 and -29
  Swap 77 and -29
  List after swap: [-75, 36, 23, -32, 62, -52, -29, 77, -22, -84]
  Compare 77 and -22
  Swap 77 and -22
  List after swap: [-75, 36, 23, -32, 62, -52, -29, -22, 77, -84]
  Compare 77 and -84
  Swap 77 and -84
  List after swap: [-75, 36, 23, -32, 62, -52, -29, -22, -84, 77]

Pass 2:
  Compare -75 and 36
  No swap needed
  Compare 36 and 23
  Swap 36 and 23
  List after swap: [-75, 23, 36, -32, 62, -52, -29, -22, -84, 77]
  Compare 36 and -32
  Swap 36 and -32
  List after swap: [-75, 23, -32, 36, 62, -52, -29, -22, -84, 77]
  Compare 36 and 62
  No swap needed
  Compare 62 and -52
  Swap 62 and -52
  List after swap: [-75, 23, -32, 36, -52, 62, -29, -22, -84, 77]
  Compare 62 and -29
  Swap 62 and -29
  List after swap: [-75, 23, -32, 36, -52, -29, 62, -22, -84, 77]
  Compare 62 and -22
  Swap 62 and -22
  List after swap: [-75, 23, -32, 36, -52, -29, -22, 62, -84, 77]
  Compare 62 and -84
  Swap 62 and -84
  List after swap: [-75, 23, -32, 36, -52, -29, -22, -84, 62, 77]

Pass 3:
  Compare -75 and 23
  No swap needed
  Compare 23 and -32
  Swap 23 and -32
  List after swap: [-75, -32, 23, 36, -52, -29, -22, -84, 62, 77]
  Compare 23 and 36
  No swap needed
  Compare 36 and -52
  Swap 36 and -52
  List after swap: [-75, -32, 23, -52, 36, -29, -22, -84, 62, 77]
  Compare 36 and -29
  Swap 36 and -29
  List after swap: [-75, -32, 23, -52, -29, 36, -22, -84, 62, 77]
  Compare 36 and -22
  Swap 36 and -22
  List after swap: [-75, -32, 23, -52, -29, -22, 36, -84, 62, 77]
  Compare 36 and -84
  Swap 36 and -84
  List after swap: [-75, -32, 23, -52, -29, -22, -84, 36, 62, 77]

Pass 4:
  Compare -75 and -32
  No swap needed
  Compare -32 and 23
  No swap needed
  Compare 23 and -52
  Swap 23 and -52
  List after swap: [-75, -32, -52, 23, -29, -22, -84, 36, 62, 77]
  Compare 23 and -29
  Swap 23 and -29
  List after swap: [-75, -32, -52, -29, 23, -22, -84, 36, 62, 77]
  Compare 23 and -22
  Swap 23 and -22
  List after swap: [-75, -32, -52, -29, -22, 23, -84, 36, 62, 77]
  Compare 23 and -84
  Swap 23 and -84
  List after swap: [-75, -32, -52, -29, -22, -84, 23, 36, 62, 77]

Pass 5:
  Compare -75 and -32
  No swap needed
  Compare -32 and -52
  Swap -32 and -52
  List after swap: [-75, -52, -32, -29, -22, -84, 23, 36, 62, 77]
  Compare -32 and -29
  No swap needed
  Compare -29 and -22
  No swap needed
  Compare -22 and -84
  Swap -22 and -84
  List after swap: [-75, -52, -32, -29, -84, -22, 23, 36, 62, 77]

Pass 6:
  Compare -75 and -52
  No swap needed
  Compare -52 and -32
  No swap needed
  Compare -32 and -29
  No swap needed
  Compare -29 and -84
  Swap -29 and -84
  List after swap: [-75, -52, -32, -84, -29, -22, 23, 36, 62, 77]

Pass 7:
  Compare -75 and -52
  No swap needed
  Compare -52 and -32
  No swap needed
  Compare -32 and -84
  Swap -32 and -84
  List after swap: [-75, -52, -84, -32, -29, -22, 23, 36, 62, 77]

Pass 8:
  Compare -75 and -52
  No swap needed
  Compare -52 and -84
  Swap -52 and -84
  List after swap: [-75, -84, -52, -32, -29, -22, 23, 36, 62, 77]

Pass 9:
  Compare -75 and -84
  Swap -75 and -84
  List after swap: [-84, -75, -52, -32, -29, -22, 23, 36, 62, 77]

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

Final sorted list: [-84, -75, -52, -32, -29, -22, 23, 36, 62, 77]
</think>

<response>-84, -75, -52, -32, -29, -22, 23, 36, 62, 77</response>


input: Execute bubble sort to sort 35, -71, -39, -44, 37, 84, -83 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [35, -71, -39, -44, 37, 84, -83]

Pass 1:
  Compare 35 and -71
  Swap 35 and -71
  List after swap: [-71, 35, -39, -44, 37, 84, -83]
  Compare 35 and -39
  Swap 35 and -39
  List after swap: [-71, -39, 35, -44, 37, 84, -83]
  Compare 35 and -44
  Swap 35 and -44
  List after swap: [-71, -39, -44, 35, 37, 84, -83]
  Compare 35 and 37
  No swap needed
  Compare 37 and 84
  No swap needed
  Compare 84 and -83
  Swap 84 and -83
  List after swap: [-71, -39, -44, 35, 37, -83, 84]

Pass 2:
  Compare -71 and -39
  No swap needed
  Compare -39 and -44
  Swap -39 and -44
  List after swap: [-71, -44, -39, 35, 37, -83, 84]
  Compare -39 and 35
  No swap needed
  Compare 35 and 37
  No swap needed
  Compare 37 and -83
  Swap 37 and -83
  List after swap: [-71, -44, -39, 35, -83, 37, 84]

Pass 3:
  Compare -71 and -44
  No swap needed
  Compare -44 and -39
  No swap needed
  Compare -39 and 35
  No swap needed
  Compare 35 and -83
  Swap 35 and -83
  List after swap: [-71, -44, -39, -83, 35, 37, 84]

Pass 4:
  Compare -71 and -44
  No swap needed
  Compare -44 and -39
  No swap needed
  Compare -39 and -83
  Swap -39 and -83
  List after swap: [-71, -44, -83, -39, 35, 37, 84]

Pass 5:
  Compare -71 and -44
  No swap needed
  Compare -44 and -83
  Swap -44 and -83
  List after swap: [-71, -83, -44, -39, 35, 37, 84]

Pass 6:
  Compare -71 and -83
  Swap -71 and -83
  List after swap: [-83, -71, -44, -39, 35, 37, 84]

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

Final sorted list: [-83, -71, -44, -39, 35, 37, 84]
</think>

<response>-83, -71, -44, -39, 35, 37, 84</response>


input: Implement bubble sort on 33, 53, -9, -78, -60, -2, -31, 26, 67, -55 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [33, 53, -9, -78, -60, -2, -31, 26, 67, -55]

Pass 1:
  Compare 33 and 53
  No swap needed
  Compare 53 and -9
  Swap 53 and -9
  List after swap: [33, -9, 53, -78, -60, -2, -31, 26, 67, -55]
  Compare 53 and -78
  Swap 53 and -78
  List after swap: [33, -9, -78, 53, -60, -2, -31, 26, 67, -55]
  Compare 53 and -60
  Swap 53 and -60
  List after swap: [33, -9, -78, -60, 53, -2, -31, 26, 67, -55]
  Compare 53 and -2
  Swap 53 and -2
  List after swap: [33, -9, -78, -60, -2, 53, -31, 26, 67, -55]
  Compare 53 and -31
  Swap 53 and -31
  List after swap: [33, -9, -78, -60, -2, -31, 53, 26, 67, -55]
  Compare 53 and 26
  Swap 53 and 26
  List after swap: [33, -9, -78, -60, -2, -31, 26, 53, 67, -55]
  Compare 53 and 67
  No swap needed
  Compare 67 and -55
  Swap 67 and -55
  List after swap: [33, -9, -78, -60, -2, -31, 26, 53, -55, 67]

Pass 2:
  Compare 33 and -9
  Swap 33 and -9
  List after swap: [-9, 33, -78, -60, -2, -31, 26, 53, -55, 67]
  Compare 33 and -78
  Swap 33 and -78
  List after swap: [-9, -78, 33, -60, -2, -31, 26, 53, -55, 67]
  Compare 33 and -60
  Swap 33 and -60
  List after swap: [-9, -78, -60, 33, -2, -31, 26, 53, -55, 67]
  Compare 33 and -2
  Swap 33 and -2
  List after swap: [-9, -78, -60, -2, 33, -31, 26, 53, -55, 67]
  Compare 33 and -31
  Swap 33 and -31
  List after swap: [-9, -78, -60, -2, -31, 33, 26, 53, -55, 67]
  Compare 33 and 26
  Swap 33 and 26
  List after swap: [-9, -78, -60, -2, -31, 26, 33, 53, -55, 67]
  Compare 33 and 53
  No swap needed
  Compare 53 and -55
  Swap 53 and -55
  List after swap: [-9, -78, -60, -2, -31, 26, 33, -55, 53, 67]

Pass 3:
  Compare -9 and -78
  Swap -9 and -78
  List after swap: [-78, -9, -60, -2, -31, 26, 33, -55, 53, 67]
  Compare -9 and -60
  Swap -9 and -60
  List after swap: [-78, -60, -9, -2, -31, 26, 33, -55, 53, 67]
  Compare -9 and -2
  No swap needed
  Compare -2 and -31
  Swap -2 and -31
  List after swap: [-78, -60, -9, -31, -2, 26, 33, -55, 53, 67]
  Compare -2 and 26
  No swap needed
  Compare 26 and 33
  No swap needed
  Compare 33 and -55
  Swap 33 and -55
  List after swap: [-78, -60, -9, -31, -2, 26, -55, 33, 53, 67]

Pass 4:
  Compare -78 and -60
  No swap needed
  Compare -60 and -9
  No swap needed
  Compare -9 and -31
  Swap -9 and -31
  List after swap: [-78, -60, -31, -9, -2, 26, -55, 33, 53, 67]
  Compare -9 and -2
  No swap needed
  Compare -2 and 26
  No swap needed
  Compare 26 and -55
  Swap 26 and -55
  List after swap: [-78, -60, -31, -9, -2, -55, 26, 33, 53, 67]

Pass 5:
  Compare -78 and -60
  No swap needed
  Compare -60 and -31
  No swap needed
  Compare -31 and -9
  No swap needed
  Compare -9 and -2
  No swap needed
  Compare -2 and -55
  Swap -2 and -55
  List after swap: [-78, -60, -31, -9, -55, -2, 26, 33, 53, 67]

Pass 6:
  Compare -78 and -60
  No swap needed
  Compare -60 and -31
  No swap needed
  Compare -31 and -9
  No swap needed
  Compare -9 and -55
  Swap -9 and -55
  List after swap: [-78, -60, -31, -55, -9, -2, 26, 33, 53, 67]

Pass 7:
  Compare -78 and -60
  No swap needed
  Compare -60 and -31
  No swap needed
  Compare -31 and -55
  Swap -31 and -55
  List after swap: [-78, -60, -55, -31, -9, -2, 26, 33, 53, 67]

Pass 8:
  Compare -78 and -60
  No swap needed
  Compare -60 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -60, -55, -31, -9, -2, 26, 33, 53, 67]
</think>

<response>-78, -60, -55, -31, -9, -2, 26, 33, 53, 67</response>


input: Arrange the numbers -100, 49, -1, 36, 3, -22 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-100, 49, -1, 36, 3, -22]

Pass 1:
  Compare -100 and 49
  No swap needed
  Compare 49 and -1
  Swap 49 and -1
  List after swap: [-100, -1, 49, 36, 3, -22]
  Compare 49 and 36
  Swap 49 and 36
  List after swap: [-100, -1, 36, 49, 3, -22]
  Compare 49 and 3
  Swap 49 and 3
  List after swap: [-100, -1, 36, 3, 49, -22]
  Compare 49 and -22
  Swap 49 and -22
  List after swap: [-100, -1, 36, 3, -22, 49]

Pass 2:
  Compare -100 and -1
  No swap needed
  Compare -1 and 36
  No swap needed
  Compare 36 and 3
  Swap 36 and 3
  List after swap: [-100, -1, 3, 36, -22, 49]
  Compare 36 and -22
  Swap 36 and -22
  List after swap: [-100, -1, 3, -22, 36, 49]

Pass 3:
  Compare -100 and -1
  No swap needed
  Compare -1 and 3
  No swap needed
  Compare 3 and -22
  Swap 3 and -22
  List after swap: [-100, -1, -22, 3, 36, 49]

Pass 4:
  Compare -100 and -1
  No swap needed
  Compare -1 and -22
  Swap -1 and -22
  List after swap: [-100, -22, -1, 3, 36, 49]

Pass 5:
  Compare -100 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -22, -1, 3, 36, 49]
</think>

<response>-100, -22, -1, 3, 36, 49</response>


input: Use the bubble sort technique to reorder -10, -68, -49, -74, -65, -38, -31, 34 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-10, -68, -49, -74, -65, -38, -31, 34]

Pass 1:
  Compare -10 and -68
  Swap -10 and -68
  List after swap: [-68, -10, -49, -74, -65, -38, -31, 34]
  Compare -10 and -49
  Swap -10 and -49
  List after swap: [-68, -49, -10, -74, -65, -38, -31, 34]
  Compare -10 and -74
  Swap -10 and -74
  List after swap: [-68, -49, -74, -10, -65, -38, -31, 34]
  Compare -10 and -65
  Swap -10 and -65
  List after swap: [-68, -49, -74, -65, -10, -38, -31, 34]
  Compare -10 and -38
  Swap -10 and -38
  List after swap: [-68, -49, -74, -65, -38, -10, -31, 34]
  Compare -10 and -31
  Swap -10 and -31
  List after swap: [-68, -49, -74, -65, -38, -31, -10, 34]
  Compare -10 and 34
  No swap needed

Pass 2:
  Compare -68 and -49
  No swap needed
  Compare -49 and -74
  Swap -49 and -74
  List after swap: [-68, -74, -49, -65, -38, -31, -10, 34]
  Compare -49 and -65
  Swap -49 and -65
  List after swap: [-68, -74, -65, -49, -38, -31, -10, 34]
  Compare -49 and -38
  No swap needed
  Compare -38 and -31
  No swap needed
  Compare -31 and -10
  No swap needed

Pass 3:
  Compare -68 and -74
  Swap -68 and -74
  List after swap: [-74, -68, -65, -49, -38, -31, -10, 34]
  Compare -68 and -65
  No swap needed
  Compare -65 and -49
  No swap needed
  Compare -49 and -38
  No swap needed
  Compare -38 and -31
  No swap needed

Pass 4:
  Compare -74 and -68
  No swap needed
  Compare -68 and -65
  No swap needed
  Compare -65 and -49
  No swap needed
  Compare -49 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -68, -65, -49, -38, -31, -10, 34]
</think>

<response>-74, -68, -65, -49, -38, -31, -10, 34</response>


input: Perform a bubble sort on the integers -38, -97, 10, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-38, -97, 10]

Pass 1:
  Compare -38 and -97
  Swap -38 and -97
  List after swap: [-97, -38, 10]
  Compare -38 and 10
  No swap needed

Pass 2:
  Compare -97 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -38, 10]
</think>

<response>-97, -38, 10</response>


input: Arrange the numbers 54, -26 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [54, -26]

Pass 1:
  Compare 54 and -26
  Swap 54 and -26
  List after swap: [-26, 54]

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

Final sorted list: [-26, 54]
</think>

<response>-26, 54</response>


input: Sort the list 92, -67, -88, 55, -33, 81 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [92, -67, -88, 55, -33, 81]

Pass 1:
  Compare 92 and -67
  Swap 92 and -67
  List after swap: [-67, 92, -88, 55, -33, 81]
  Compare 92 and -88
  Swap 92 and -88
  List after swap: [-67, -88, 92, 55, -33, 81]
  Compare 92 and 55
  Swap 92 and 55
  List after swap: [-67, -88, 55, 92, -33, 81]
  Compare 92 and -33
  Swap 92 and -33
  List after swap: [-67, -88, 55, -33, 92, 81]
  Compare 92 and 81
  Swap 92 and 81
  List after swap: [-67, -88, 55, -33, 81, 92]

Pass 2:
  Compare -67 and -88
  Swap -67 and -88
  List after swap: [-88, -67, 55, -33, 81, 92]
  Compare -67 and 55
  No swap needed
  Compare 55 and -33
  Swap 55 and -33
  List after swap: [-88, -67, -33, 55, 81, 92]
  Compare 55 and 81
  No swap needed

Pass 3:
  Compare -88 and -67
  No swap needed
  Compare -67 and -33
  No swap needed
  Compare -33 and 55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -67, -33, 55, 81, 92]
</think>

<response>-88, -67, -33, 55, 81, 92</response>


input: Carry out the bubble sort algorithm on -36, -78, -48, -100 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-36, -78, -48, -100]

Pass 1:
  Compare -36 and -78
  Swap -36 and -78
  List after swap: [-78, -36, -48, -100]
  Compare -36 and -48
  Swap -36 and -48
  List after swap: [-78, -48, -36, -100]
  Compare -36 and -100
  Swap -36 and -100
  List after swap: [-78, -48, -100, -36]

Pass 2:
  Compare -78 and -48
  No swap needed
  Compare -48 and -100
  Swap -48 and -100
  List after swap: [-78, -100, -48, -36]

Pass 3:
  Compare -78 and -100
  Swap -78 and -100
  List after swap: [-100, -78, -48, -36]

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

Final sorted list: [-100, -78, -48, -36]
</think>

<response>-100, -78, -48, -36</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -21, 48, -72, -52, 4, -17, 75.

output:
<think>
Initial list: [-21, 48, -72, -52, 4, -17, 75]

Pass 1:
  Compare -21 and 48
  No swap needed
  Compare 48 and -72
  Swap 48 and -72
  List after swap: [-21, -72, 48, -52, 4, -17, 75]
  Compare 48 and -52
  Swap 48 and -52
  List after swap: [-21, -72, -52, 48, 4, -17, 75]
  Compare 48 and 4
  Swap 48 and 4
  List after swap: [-21, -72, -52, 4, 48, -17, 75]
  Compare 48 and -17
  Swap 48 and -17
  List after swap: [-21, -72, -52, 4, -17, 48, 75]
  Compare 48 and 75
  No swap needed

Pass 2:
  Compare -21 and -72
  Swap -21 and -72
  List after swap: [-72, -21, -52, 4, -17, 48, 75]
  Compare -21 and -52
  Swap -21 and -52
  List after swap: [-72, -52, -21, 4, -17, 48, 75]
  Compare -21 and 4
  No swap needed
  Compare 4 and -17
  Swap 4 and -17
  List after swap: [-72, -52, -21, -17, 4, 48, 75]
  Compare 4 and 48
  No swap needed

Pass 3:
  Compare -72 and -52
  No swap needed
  Compare -52 and -21
  No swap needed
  Compare -21 and -17
  No swap needed
  Compare -17 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -52, -21, -17, 4, 48, 75]
</think>

<response>-72, -52, -21, -17, 4, 48, 75</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 60, 97, -12, -56, 99, 18, 58, -52.

output:
<think>
Initial list: [60, 97, -12, -56, 99, 18, 58, -52]

Pass 1:
  Compare 60 and 97
  No swap needed
  Compare 97 and -12
  Swap 97 and -12
  List after swap: [60, -12, 97, -56, 99, 18, 58, -52]
  Compare 97 and -56
  Swap 97 and -56
  List after swap: [60, -12, -56, 97, 99, 18, 58, -52]
  Compare 97 and 99
  No swap needed
  Compare 99 and 18
  Swap 99 and 18
  List after swap: [60, -12, -56, 97, 18, 99, 58, -52]
  Compare 99 and 58
  Swap 99 and 58
  List after swap: [60, -12, -56, 97, 18, 58, 99, -52]
  Compare 99 and -52
  Swap 99 and -52
  List after swap: [60, -12, -56, 97, 18, 58, -52, 99]

Pass 2:
  Compare 60 and -12
  Swap 60 and -12
  List after swap: [-12, 60, -56, 97, 18, 58, -52, 99]
  Compare 60 and -56
  Swap 60 and -56
  List after swap: [-12, -56, 60, 97, 18, 58, -52, 99]
  Compare 60 and 97
  No swap needed
  Compare 97 and 18
  Swap 97 and 18
  List after swap: [-12, -56, 60, 18, 97, 58, -52, 99]
  Compare 97 and 58
  Swap 97 and 58
  List after swap: [-12, -56, 60, 18, 58, 97, -52, 99]
  Compare 97 and -52
  Swap 97 and -52
  List after swap: [-12, -56, 60, 18, 58, -52, 97, 99]

Pass 3:
  Compare -12 and -56
  Swap -12 and -56
  List after swap: [-56, -12, 60, 18, 58, -52, 97, 99]
  Compare -12 and 60
  No swap needed
  Compare 60 and 18
  Swap 60 and 18
  List after swap: [-56, -12, 18, 60, 58, -52, 97, 99]
  Compare 60 and 58
  Swap 60 and 58
  List after swap: [-56, -12, 18, 58, 60, -52, 97, 99]
  Compare 60 and -52
  Swap 60 and -52
  List after swap: [-56, -12, 18, 58, -52, 60, 97, 99]

Pass 4:
  Compare -56 and -12
  No swap needed
  Compare -12 and 18
  No swap needed
  Compare 18 and 58
  No swap needed
  Compare 58 and -52
  Swap 58 and -52
  List after swap: [-56, -12, 18, -52, 58, 60, 97, 99]

Pass 5:
  Compare -56 and -12
  No swap needed
  Compare -12 and 18
  No swap needed
  Compare 18 and -52
  Swap 18 and -52
  List after swap: [-56, -12, -52, 18, 58, 60, 97, 99]

Pass 6:
  Compare -56 and -12
  No swap needed
  Compare -12 and -52
  Swap -12 and -52
  List after swap: [-56, -52, -12, 18, 58, 60, 97, 99]

Pass 7:
  Compare -56 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -52, -12, 18, 58, 60, 97, 99]
</think>

<response>-56, -52, -12, 18, 58, 60, 97, 99</response>


input: Use the bubble sort technique to reorder 76, -74, -37, 22, -70, -91, -6, -82, 72, -31 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [76, -74, -37, 22, -70, -91, -6, -82, 72, -31]

Pass 1:
  Compare 76 and -74
  Swap 76 and -74
  List after swap: [-74, 76, -37, 22, -70, -91, -6, -82, 72, -31]
  Compare 76 and -37
  Swap 76 and -37
  List after swap: [-74, -37, 76, 22, -70, -91, -6, -82, 72, -31]
  Compare 76 and 22
  Swap 76 and 22
  List after swap: [-74, -37, 22, 76, -70, -91, -6, -82, 72, -31]
  Compare 76 and -70
  Swap 76 and -70
  List after swap: [-74, -37, 22, -70, 76, -91, -6, -82, 72, -31]
  Compare 76 and -91
  Swap 76 and -91
  List after swap: [-74, -37, 22, -70, -91, 76, -6, -82, 72, -31]
  Compare 76 and -6
  Swap 76 and -6
  List after swap: [-74, -37, 22, -70, -91, -6, 76, -82, 72, -31]
  Compare 76 and -82
  Swap 76 and -82
  List after swap: [-74, -37, 22, -70, -91, -6, -82, 76, 72, -31]
  Compare 76 and 72
  Swap 76 and 72
  List after swap: [-74, -37, 22, -70, -91, -6, -82, 72, 76, -31]
  Compare 76 and -31
  Swap 76 and -31
  List after swap: [-74, -37, 22, -70, -91, -6, -82, 72, -31, 76]

Pass 2:
  Compare -74 and -37
  No swap needed
  Compare -37 and 22
  No swap needed
  Compare 22 and -70
  Swap 22 and -70
  List after swap: [-74, -37, -70, 22, -91, -6, -82, 72, -31, 76]
  Compare 22 and -91
  Swap 22 and -91
  List after swap: [-74, -37, -70, -91, 22, -6, -82, 72, -31, 76]
  Compare 22 and -6
  Swap 22 and -6
  List after swap: [-74, -37, -70, -91, -6, 22, -82, 72, -31, 76]
  Compare 22 and -82
  Swap 22 and -82
  List after swap: [-74, -37, -70, -91, -6, -82, 22, 72, -31, 76]
  Compare 22 and 72
  No swap needed
  Compare 72 and -31
  Swap 72 and -31
  List after swap: [-74, -37, -70, -91, -6, -82, 22, -31, 72, 76]

Pass 3:
  Compare -74 and -37
  No swap needed
  Compare -37 and -70
  Swap -37 and -70
  List after swap: [-74, -70, -37, -91, -6, -82, 22, -31, 72, 76]
  Compare -37 and -91
  Swap -37 and -91
  List after swap: [-74, -70, -91, -37, -6, -82, 22, -31, 72, 76]
  Compare -37 and -6
  No swap needed
  Compare -6 and -82
  Swap -6 and -82
  List after swap: [-74, -70, -91, -37, -82, -6, 22, -31, 72, 76]
  Compare -6 and 22
  No swap needed
  Compare 22 and -31
  Swap 22 and -31
  List after swap: [-74, -70, -91, -37, -82, -6, -31, 22, 72, 76]

Pass 4:
  Compare -74 and -70
  No swap needed
  Compare -70 and -91
  Swap -70 and -91
  List after swap: [-74, -91, -70, -37, -82, -6, -31, 22, 72, 76]
  Compare -70 and -37
  No swap needed
  Compare -37 and -82
  Swap -37 and -82
  List after swap: [-74, -91, -70, -82, -37, -6, -31, 22, 72, 76]
  Compare -37 and -6
  No swap needed
  Compare -6 and -31
  Swap -6 and -31
  List after swap: [-74, -91, -70, -82, -37, -31, -6, 22, 72, 76]

Pass 5:
  Compare -74 and -91
  Swap -74 and -91
  List after swap: [-91, -74, -70, -82, -37, -31, -6, 22, 72, 76]
  Compare -74 and -70
  No swap needed
  Compare -70 and -82
  Swap -70 and -82
  List after swap: [-91, -74, -82, -70, -37, -31, -6, 22, 72, 76]
  Compare -70 and -37
  No swap needed
  Compare -37 and -31
  No swap needed

Pass 6:
  Compare -91 and -74
  No swap needed
  Compare -74 and -82
  Swap -74 and -82
  List after swap: [-91, -82, -74, -70, -37, -31, -6, 22, 72, 76]
  Compare -74 and -70
  No swap needed
  Compare -70 and -37
  No swap needed

Pass 7:
  Compare -91 and -82
  No swap needed
  Compare -82 and -74
  No swap needed
  Compare -74 and -70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -82, -74, -70, -37, -31, -6, 22, 72, 76]
</think>

<response>-91, -82, -74, -70, -37, -31, -6, 22, 72, 76</response>


input: Using the bubble sort method, sort -11, 40, 60, -66, -1, 5, -63 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-11, 40, 60, -66, -1, 5, -63]

Pass 1:
  Compare -11 and 40
  No swap needed
  Compare 40 and 60
  No swap needed
  Compare 60 and -66
  Swap 60 and -66
  List after swap: [-11, 40, -66, 60, -1, 5, -63]
  Compare 60 and -1
  Swap 60 and -1
  List after swap: [-11, 40, -66, -1, 60, 5, -63]
  Compare 60 and 5
  Swap 60 and 5
  List after swap: [-11, 40, -66, -1, 5, 60, -63]
  Compare 60 and -63
  Swap 60 and -63
  List after swap: [-11, 40, -66, -1, 5, -63, 60]

Pass 2:
  Compare -11 and 40
  No swap needed
  Compare 40 and -66
  Swap 40 and -66
  List after swap: [-11, -66, 40, -1, 5, -63, 60]
  Compare 40 and -1
  Swap 40 and -1
  List after swap: [-11, -66, -1, 40, 5, -63, 60]
  Compare 40 and 5
  Swap 40 and 5
  List after swap: [-11, -66, -1, 5, 40, -63, 60]
  Compare 40 and -63
  Swap 40 and -63
  List after swap: [-11, -66, -1, 5, -63, 40, 60]

Pass 3:
  Compare -11 and -66
  Swap -11 and -66
  List after swap: [-66, -11, -1, 5, -63, 40, 60]
  Compare -11 and -1
  No swap needed
  Compare -1 and 5
  No swap needed
  Compare 5 and -63
  Swap 5 and -63
  List after swap: [-66, -11, -1, -63, 5, 40, 60]

Pass 4:
  Compare -66 and -11
  No swap needed
  Compare -11 and -1
  No swap needed
  Compare -1 and -63
  Swap -1 and -63
  List after swap: [-66, -11, -63, -1, 5, 40, 60]

Pass 5:
  Compare -66 and -11
  No swap needed
  Compare -11 and -63
  Swap -11 and -63
  List after swap: [-66, -63, -11, -1, 5, 40, 60]

Pass 6:
  Compare -66 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -63, -11, -1, 5, 40, 60]
</think>

<response>-66, -63, -11, -1, 5, 40, 60</response>