input: Use the bubble sort technique to reorder -46, 83, 40, -65, -83, -7 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-46, 83, 40, -65, -83, -7]

Pass 1:
  Compare -46 and 83
  No swap needed
  Compare 83 and 40
  Swap 83 and 40
  List after swap: [-46, 40, 83, -65, -83, -7]
  Compare 83 and -65
  Swap 83 and -65
  List after swap: [-46, 40, -65, 83, -83, -7]
  Compare 83 and -83
  Swap 83 and -83
  List after swap: [-46, 40, -65, -83, 83, -7]
  Compare 83 and -7
  Swap 83 and -7
  List after swap: [-46, 40, -65, -83, -7, 83]

Pass 2:
  Compare -46 and 40
  No swap needed
  Compare 40 and -65
  Swap 40 and -65
  List after swap: [-46, -65, 40, -83, -7, 83]
  Compare 40 and -83
  Swap 40 and -83
  List after swap: [-46, -65, -83, 40, -7, 83]
  Compare 40 and -7
  Swap 40 and -7
  List after swap: [-46, -65, -83, -7, 40, 83]

Pass 3:
  Compare -46 and -65
  Swap -46 and -65
  List after swap: [-65, -46, -83, -7, 40, 83]
  Compare -46 and -83
  Swap -46 and -83
  List after swap: [-65, -83, -46, -7, 40, 83]
  Compare -46 and -7
  No swap needed

Pass 4:
  Compare -65 and -83
  Swap -65 and -83
  List after swap: [-83, -65, -46, -7, 40, 83]
  Compare -65 and -46
  No swap needed

Pass 5:
  Compare -83 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -65, -46, -7, 40, 83]
</think>

<response>-83, -65, -46, -7, 40, 83</response>


input: Arrange the numbers -62, 33 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-62, 33]

Pass 1:
  Compare -62 and 33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, 33]
</think>

<response>-62, 33</response>


input: Carry out the bubble sort algorithm on 45, -96, 71, 86, 60, -73, 13 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [45, -96, 71, 86, 60, -73, 13]

Pass 1:
  Compare 45 and -96
  Swap 45 and -96
  List after swap: [-96, 45, 71, 86, 60, -73, 13]
  Compare 45 and 71
  No swap needed
  Compare 71 and 86
  No swap needed
  Compare 86 and 60
  Swap 86 and 60
  List after swap: [-96, 45, 71, 60, 86, -73, 13]
  Compare 86 and -73
  Swap 86 and -73
  List after swap: [-96, 45, 71, 60, -73, 86, 13]
  Compare 86 and 13
  Swap 86 and 13
  List after swap: [-96, 45, 71, 60, -73, 13, 86]

Pass 2:
  Compare -96 and 45
  No swap needed
  Compare 45 and 71
  No swap needed
  Compare 71 and 60
  Swap 71 and 60
  List after swap: [-96, 45, 60, 71, -73, 13, 86]
  Compare 71 and -73
  Swap 71 and -73
  List after swap: [-96, 45, 60, -73, 71, 13, 86]
  Compare 71 and 13
  Swap 71 and 13
  List after swap: [-96, 45, 60, -73, 13, 71, 86]

Pass 3:
  Compare -96 and 45
  No swap needed
  Compare 45 and 60
  No swap needed
  Compare 60 and -73
  Swap 60 and -73
  List after swap: [-96, 45, -73, 60, 13, 71, 86]
  Compare 60 and 13
  Swap 60 and 13
  List after swap: [-96, 45, -73, 13, 60, 71, 86]

Pass 4:
  Compare -96 and 45
  No swap needed
  Compare 45 and -73
  Swap 45 and -73
  List after swap: [-96, -73, 45, 13, 60, 71, 86]
  Compare 45 and 13
  Swap 45 and 13
  List after swap: [-96, -73, 13, 45, 60, 71, 86]

Pass 5:
  Compare -96 and -73
  No swap needed
  Compare -73 and 13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -73, 13, 45, 60, 71, 86]
</think>

<response>-96, -73, 13, 45, 60, 71, 86</response>


input: Execute bubble sort to sort -5, 31, 22, -75, 49, -9 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-5, 31, 22, -75, 49, -9]

Pass 1:
  Compare -5 and 31
  No swap needed
  Compare 31 and 22
  Swap 31 and 22
  List after swap: [-5, 22, 31, -75, 49, -9]
  Compare 31 and -75
  Swap 31 and -75
  List after swap: [-5, 22, -75, 31, 49, -9]
  Compare 31 and 49
  No swap needed
  Compare 49 and -9
  Swap 49 and -9
  List after swap: [-5, 22, -75, 31, -9, 49]

Pass 2:
  Compare -5 and 22
  No swap needed
  Compare 22 and -75
  Swap 22 and -75
  List after swap: [-5, -75, 22, 31, -9, 49]
  Compare 22 and 31
  No swap needed
  Compare 31 and -9
  Swap 31 and -9
  List after swap: [-5, -75, 22, -9, 31, 49]

Pass 3:
  Compare -5 and -75
  Swap -5 and -75
  List after swap: [-75, -5, 22, -9, 31, 49]
  Compare -5 and 22
  No swap needed
  Compare 22 and -9
  Swap 22 and -9
  List after swap: [-75, -5, -9, 22, 31, 49]

Pass 4:
  Compare -75 and -5
  No swap needed
  Compare -5 and -9
  Swap -5 and -9
  List after swap: [-75, -9, -5, 22, 31, 49]

Pass 5:
  Compare -75 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -9, -5, 22, 31, 49]
</think>

<response>-75, -9, -5, 22, 31, 49</response>


input: Use the bubble sort technique to reorder -88, -79, -17, 30, 25 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-88, -79, -17, 30, 25]

Pass 1:
  Compare -88 and -79
  No swap needed
  Compare -79 and -17
  No swap needed
  Compare -17 and 30
  No swap needed
  Compare 30 and 25
  Swap 30 and 25
  List after swap: [-88, -79, -17, 25, 30]

Pass 2:
  Compare -88 and -79
  No swap needed
  Compare -79 and -17
  No swap needed
  Compare -17 and 25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -79, -17, 25, 30]
</think>

<response>-88, -79, -17, 25, 30</response>


input: Carry out the bubble sort algorithm on -27, -18, -9, -93, 52, -30 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-27, -18, -9, -93, 52, -30]

Pass 1:
  Compare -27 and -18
  No swap needed
  Compare -18 and -9
  No swap needed
  Compare -9 and -93
  Swap -9 and -93
  List after swap: [-27, -18, -93, -9, 52, -30]
  Compare -9 and 52
  No swap needed
  Compare 52 and -30
  Swap 52 and -30
  List after swap: [-27, -18, -93, -9, -30, 52]

Pass 2:
  Compare -27 and -18
  No swap needed
  Compare -18 and -93
  Swap -18 and -93
  List after swap: [-27, -93, -18, -9, -30, 52]
  Compare -18 and -9
  No swap needed
  Compare -9 and -30
  Swap -9 and -30
  List after swap: [-27, -93, -18, -30, -9, 52]

Pass 3:
  Compare -27 and -93
  Swap -27 and -93
  List after swap: [-93, -27, -18, -30, -9, 52]
  Compare -27 and -18
  No swap needed
  Compare -18 and -30
  Swap -18 and -30
  List after swap: [-93, -27, -30, -18, -9, 52]

Pass 4:
  Compare -93 and -27
  No swap needed
  Compare -27 and -30
  Swap -27 and -30
  List after swap: [-93, -30, -27, -18, -9, 52]

Pass 5:
  Compare -93 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -30, -27, -18, -9, 52]
</think>

<response>-93, -30, -27, -18, -9, 52</response>


input: Execute bubble sort to sort -64, -65, 91, -33, -25, -72, -17, -24, 97, 38 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-64, -65, 91, -33, -25, -72, -17, -24, 97, 38]

Pass 1:
  Compare -64 and -65
  Swap -64 and -65
  List after swap: [-65, -64, 91, -33, -25, -72, -17, -24, 97, 38]
  Compare -64 and 91
  No swap needed
  Compare 91 and -33
  Swap 91 and -33
  List after swap: [-65, -64, -33, 91, -25, -72, -17, -24, 97, 38]
  Compare 91 and -25
  Swap 91 and -25
  List after swap: [-65, -64, -33, -25, 91, -72, -17, -24, 97, 38]
  Compare 91 and -72
  Swap 91 and -72
  List after swap: [-65, -64, -33, -25, -72, 91, -17, -24, 97, 38]
  Compare 91 and -17
  Swap 91 and -17
  List after swap: [-65, -64, -33, -25, -72, -17, 91, -24, 97, 38]
  Compare 91 and -24
  Swap 91 and -24
  List after swap: [-65, -64, -33, -25, -72, -17, -24, 91, 97, 38]
  Compare 91 and 97
  No swap needed
  Compare 97 and 38
  Swap 97 and 38
  List after swap: [-65, -64, -33, -25, -72, -17, -24, 91, 38, 97]

Pass 2:
  Compare -65 and -64
  No swap needed
  Compare -64 and -33
  No swap needed
  Compare -33 and -25
  No swap needed
  Compare -25 and -72
  Swap -25 and -72
  List after swap: [-65, -64, -33, -72, -25, -17, -24, 91, 38, 97]
  Compare -25 and -17
  No swap needed
  Compare -17 and -24
  Swap -17 and -24
  List after swap: [-65, -64, -33, -72, -25, -24, -17, 91, 38, 97]
  Compare -17 and 91
  No swap needed
  Compare 91 and 38
  Swap 91 and 38
  List after swap: [-65, -64, -33, -72, -25, -24, -17, 38, 91, 97]

Pass 3:
  Compare -65 and -64
  No swap needed
  Compare -64 and -33
  No swap needed
  Compare -33 and -72
  Swap -33 and -72
  List after swap: [-65, -64, -72, -33, -25, -24, -17, 38, 91, 97]
  Compare -33 and -25
  No swap needed
  Compare -25 and -24
  No swap needed
  Compare -24 and -17
  No swap needed
  Compare -17 and 38
  No swap needed

Pass 4:
  Compare -65 and -64
  No swap needed
  Compare -64 and -72
  Swap -64 and -72
  List after swap: [-65, -72, -64, -33, -25, -24, -17, 38, 91, 97]
  Compare -64 and -33
  No swap needed
  Compare -33 and -25
  No swap needed
  Compare -25 and -24
  No swap needed
  Compare -24 and -17
  No swap needed

Pass 5:
  Compare -65 and -72
  Swap -65 and -72
  List after swap: [-72, -65, -64, -33, -25, -24, -17, 38, 91, 97]
  Compare -65 and -64
  No swap needed
  Compare -64 and -33
  No swap needed
  Compare -33 and -25
  No swap needed
  Compare -25 and -24
  No swap needed

Pass 6:
  Compare -72 and -65
  No swap needed
  Compare -65 and -64
  No swap needed
  Compare -64 and -33
  No swap needed
  Compare -33 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -65, -64, -33, -25, -24, -17, 38, 91, 97]
</think>

<response>-72, -65, -64, -33, -25, -24, -17, 38, 91, 97</response>


input: Sort these integers 85, -64, -9, 49, 50, 98, 35, 40, -20 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [85, -64, -9, 49, 50, 98, 35, 40, -20]

Pass 1:
  Compare 85 and -64
  Swap 85 and -64
  List after swap: [-64, 85, -9, 49, 50, 98, 35, 40, -20]
  Compare 85 and -9
  Swap 85 and -9
  List after swap: [-64, -9, 85, 49, 50, 98, 35, 40, -20]
  Compare 85 and 49
  Swap 85 and 49
  List after swap: [-64, -9, 49, 85, 50, 98, 35, 40, -20]
  Compare 85 and 50
  Swap 85 and 50
  List after swap: [-64, -9, 49, 50, 85, 98, 35, 40, -20]
  Compare 85 and 98
  No swap needed
  Compare 98 and 35
  Swap 98 and 35
  List after swap: [-64, -9, 49, 50, 85, 35, 98, 40, -20]
  Compare 98 and 40
  Swap 98 and 40
  List after swap: [-64, -9, 49, 50, 85, 35, 40, 98, -20]
  Compare 98 and -20
  Swap 98 and -20
  List after swap: [-64, -9, 49, 50, 85, 35, 40, -20, 98]

Pass 2:
  Compare -64 and -9
  No swap needed
  Compare -9 and 49
  No swap needed
  Compare 49 and 50
  No swap needed
  Compare 50 and 85
  No swap needed
  Compare 85 and 35
  Swap 85 and 35
  List after swap: [-64, -9, 49, 50, 35, 85, 40, -20, 98]
  Compare 85 and 40
  Swap 85 and 40
  List after swap: [-64, -9, 49, 50, 35, 40, 85, -20, 98]
  Compare 85 and -20
  Swap 85 and -20
  List after swap: [-64, -9, 49, 50, 35, 40, -20, 85, 98]

Pass 3:
  Compare -64 and -9
  No swap needed
  Compare -9 and 49
  No swap needed
  Compare 49 and 50
  No swap needed
  Compare 50 and 35
  Swap 50 and 35
  List after swap: [-64, -9, 49, 35, 50, 40, -20, 85, 98]
  Compare 50 and 40
  Swap 50 and 40
  List after swap: [-64, -9, 49, 35, 40, 50, -20, 85, 98]
  Compare 50 and -20
  Swap 50 and -20
  List after swap: [-64, -9, 49, 35, 40, -20, 50, 85, 98]

Pass 4:
  Compare -64 and -9
  No swap needed
  Compare -9 and 49
  No swap needed
  Compare 49 and 35
  Swap 49 and 35
  List after swap: [-64, -9, 35, 49, 40, -20, 50, 85, 98]
  Compare 49 and 40
  Swap 49 and 40
  List after swap: [-64, -9, 35, 40, 49, -20, 50, 85, 98]
  Compare 49 and -20
  Swap 49 and -20
  List after swap: [-64, -9, 35, 40, -20, 49, 50, 85, 98]

Pass 5:
  Compare -64 and -9
  No swap needed
  Compare -9 and 35
  No swap needed
  Compare 35 and 40
  No swap needed
  Compare 40 and -20
  Swap 40 and -20
  List after swap: [-64, -9, 35, -20, 40, 49, 50, 85, 98]

Pass 6:
  Compare -64 and -9
  No swap needed
  Compare -9 and 35
  No swap needed
  Compare 35 and -20
  Swap 35 and -20
  List after swap: [-64, -9, -20, 35, 40, 49, 50, 85, 98]

Pass 7:
  Compare -64 and -9
  No swap needed
  Compare -9 and -20
  Swap -9 and -20
  List after swap: [-64, -20, -9, 35, 40, 49, 50, 85, 98]

Pass 8:
  Compare -64 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -20, -9, 35, 40, 49, 50, 85, 98]
</think>

<response>-64, -20, -9, 35, 40, 49, 50, 85, 98</response>


input: Using the bubble sort method, sort -92, -60 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-92, -60]

Pass 1:
  Compare -92 and -60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -60]
</think>

<response>-92, -60</response>


input: Implement bubble sort on -31, -98, -45, 77, 13, 42 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-31, -98, -45, 77, 13, 42]

Pass 1:
  Compare -31 and -98
  Swap -31 and -98
  List after swap: [-98, -31, -45, 77, 13, 42]
  Compare -31 and -45
  Swap -31 and -45
  List after swap: [-98, -45, -31, 77, 13, 42]
  Compare -31 and 77
  No swap needed
  Compare 77 and 13
  Swap 77 and 13
  List after swap: [-98, -45, -31, 13, 77, 42]
  Compare 77 and 42
  Swap 77 and 42
  List after swap: [-98, -45, -31, 13, 42, 77]

Pass 2:
  Compare -98 and -45
  No swap needed
  Compare -45 and -31
  No swap needed
  Compare -31 and 13
  No swap needed
  Compare 13 and 42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -45, -31, 13, 42, 77]
</think>

<response>-98, -45, -31, 13, 42, 77</response>


input: Using the bubble sort method, sort 91, 89, -28 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [91, 89, -28]

Pass 1:
  Compare 91 and 89
  Swap 91 and 89
  List after swap: [89, 91, -28]
  Compare 91 and -28
  Swap 91 and -28
  List after swap: [89, -28, 91]

Pass 2:
  Compare 89 and -28
  Swap 89 and -28
  List after swap: [-28, 89, 91]

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

Final sorted list: [-28, 89, 91]
</think>

<response>-28, 89, 91</response>


input: Implement bubble sort on -76, -46, 82, -12, 36 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-76, -46, 82, -12, 36]

Pass 1:
  Compare -76 and -46
  No swap needed
  Compare -46 and 82
  No swap needed
  Compare 82 and -12
  Swap 82 and -12
  List after swap: [-76, -46, -12, 82, 36]
  Compare 82 and 36
  Swap 82 and 36
  List after swap: [-76, -46, -12, 36, 82]

Pass 2:
  Compare -76 and -46
  No swap needed
  Compare -46 and -12
  No swap needed
  Compare -12 and 36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -46, -12, 36, 82]
</think>

<response>-76, -46, -12, 36, 82</response>


input: Perform a bubble sort on the integers 49, 62, -75, -17, -93, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [49, 62, -75, -17, -93]

Pass 1:
  Compare 49 and 62
  No swap needed
  Compare 62 and -75
  Swap 62 and -75
  List after swap: [49, -75, 62, -17, -93]
  Compare 62 and -17
  Swap 62 and -17
  List after swap: [49, -75, -17, 62, -93]
  Compare 62 and -93
  Swap 62 and -93
  List after swap: [49, -75, -17, -93, 62]

Pass 2:
  Compare 49 and -75
  Swap 49 and -75
  List after swap: [-75, 49, -17, -93, 62]
  Compare 49 and -17
  Swap 49 and -17
  List after swap: [-75, -17, 49, -93, 62]
  Compare 49 and -93
  Swap 49 and -93
  List after swap: [-75, -17, -93, 49, 62]

Pass 3:
  Compare -75 and -17
  No swap needed
  Compare -17 and -93
  Swap -17 and -93
  List after swap: [-75, -93, -17, 49, 62]

Pass 4:
  Compare -75 and -93
  Swap -75 and -93
  List after swap: [-93, -75, -17, 49, 62]

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

Final sorted list: [-93, -75, -17, 49, 62]
</think>

<response>-93, -75, -17, 49, 62</response>


input: Perform a bubble sort on the integers -60, -55, 27, 0, -2, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-60, -55, 27, 0, -2]

Pass 1:
  Compare -60 and -55
  No swap needed
  Compare -55 and 27
  No swap needed
  Compare 27 and 0
  Swap 27 and 0
  List after swap: [-60, -55, 0, 27, -2]
  Compare 27 and -2
  Swap 27 and -2
  List after swap: [-60, -55, 0, -2, 27]

Pass 2:
  Compare -60 and -55
  No swap needed
  Compare -55 and 0
  No swap needed
  Compare 0 and -2
  Swap 0 and -2
  List after swap: [-60, -55, -2, 0, 27]

Pass 3:
  Compare -60 and -55
  No swap needed
  Compare -55 and -2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -55, -2, 0, 27]
</think>

<response>-60, -55, -2, 0, 27</response>


input: Execute bubble sort to sort 39, -39, 3, 64, -23, 52, 69, -54, -37, 78 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [39, -39, 3, 64, -23, 52, 69, -54, -37, 78]

Pass 1:
  Compare 39 and -39
  Swap 39 and -39
  List after swap: [-39, 39, 3, 64, -23, 52, 69, -54, -37, 78]
  Compare 39 and 3
  Swap 39 and 3
  List after swap: [-39, 3, 39, 64, -23, 52, 69, -54, -37, 78]
  Compare 39 and 64
  No swap needed
  Compare 64 and -23
  Swap 64 and -23
  List after swap: [-39, 3, 39, -23, 64, 52, 69, -54, -37, 78]
  Compare 64 and 52
  Swap 64 and 52
  List after swap: [-39, 3, 39, -23, 52, 64, 69, -54, -37, 78]
  Compare 64 and 69
  No swap needed
  Compare 69 and -54
  Swap 69 and -54
  List after swap: [-39, 3, 39, -23, 52, 64, -54, 69, -37, 78]
  Compare 69 and -37
  Swap 69 and -37
  List after swap: [-39, 3, 39, -23, 52, 64, -54, -37, 69, 78]
  Compare 69 and 78
  No swap needed

Pass 2:
  Compare -39 and 3
  No swap needed
  Compare 3 and 39
  No swap needed
  Compare 39 and -23
  Swap 39 and -23
  List after swap: [-39, 3, -23, 39, 52, 64, -54, -37, 69, 78]
  Compare 39 and 52
  No swap needed
  Compare 52 and 64
  No swap needed
  Compare 64 and -54
  Swap 64 and -54
  List after swap: [-39, 3, -23, 39, 52, -54, 64, -37, 69, 78]
  Compare 64 and -37
  Swap 64 and -37
  List after swap: [-39, 3, -23, 39, 52, -54, -37, 64, 69, 78]
  Compare 64 and 69
  No swap needed

Pass 3:
  Compare -39 and 3
  No swap needed
  Compare 3 and -23
  Swap 3 and -23
  List after swap: [-39, -23, 3, 39, 52, -54, -37, 64, 69, 78]
  Compare 3 and 39
  No swap needed
  Compare 39 and 52
  No swap needed
  Compare 52 and -54
  Swap 52 and -54
  List after swap: [-39, -23, 3, 39, -54, 52, -37, 64, 69, 78]
  Compare 52 and -37
  Swap 52 and -37
  List after swap: [-39, -23, 3, 39, -54, -37, 52, 64, 69, 78]
  Compare 52 and 64
  No swap needed

Pass 4:
  Compare -39 and -23
  No swap needed
  Compare -23 and 3
  No swap needed
  Compare 3 and 39
  No swap needed
  Compare 39 and -54
  Swap 39 and -54
  List after swap: [-39, -23, 3, -54, 39, -37, 52, 64, 69, 78]
  Compare 39 and -37
  Swap 39 and -37
  List after swap: [-39, -23, 3, -54, -37, 39, 52, 64, 69, 78]
  Compare 39 and 52
  No swap needed

Pass 5:
  Compare -39 and -23
  No swap needed
  Compare -23 and 3
  No swap needed
  Compare 3 and -54
  Swap 3 and -54
  List after swap: [-39, -23, -54, 3, -37, 39, 52, 64, 69, 78]
  Compare 3 and -37
  Swap 3 and -37
  List after swap: [-39, -23, -54, -37, 3, 39, 52, 64, 69, 78]
  Compare 3 and 39
  No swap needed

Pass 6:
  Compare -39 and -23
  No swap needed
  Compare -23 and -54
  Swap -23 and -54
  List after swap: [-39, -54, -23, -37, 3, 39, 52, 64, 69, 78]
  Compare -23 and -37
  Swap -23 and -37
  List after swap: [-39, -54, -37, -23, 3, 39, 52, 64, 69, 78]
  Compare -23 and 3
  No swap needed

Pass 7:
  Compare -39 and -54
  Swap -39 and -54
  List after swap: [-54, -39, -37, -23, 3, 39, 52, 64, 69, 78]
  Compare -39 and -37
  No swap needed
  Compare -37 and -23
  No swap needed

Pass 8:
  Compare -54 and -39
  No swap needed
  Compare -39 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-54, -39, -37, -23, 3, 39, 52, 64, 69, 78]
</think>

<response>-54, -39, -37, -23, 3, 39, 52, 64, 69, 78</response>


input: Using the bubble sort method, sort 57, 40, 65, 22, -85, 4, 61, -11, -83, 7 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [57, 40, 65, 22, -85, 4, 61, -11, -83, 7]

Pass 1:
  Compare 57 and 40
  Swap 57 and 40
  List after swap: [40, 57, 65, 22, -85, 4, 61, -11, -83, 7]
  Compare 57 and 65
  No swap needed
  Compare 65 and 22
  Swap 65 and 22
  List after swap: [40, 57, 22, 65, -85, 4, 61, -11, -83, 7]
  Compare 65 and -85
  Swap 65 and -85
  List after swap: [40, 57, 22, -85, 65, 4, 61, -11, -83, 7]
  Compare 65 and 4
  Swap 65 and 4
  List after swap: [40, 57, 22, -85, 4, 65, 61, -11, -83, 7]
  Compare 65 and 61
  Swap 65 and 61
  List after swap: [40, 57, 22, -85, 4, 61, 65, -11, -83, 7]
  Compare 65 and -11
  Swap 65 and -11
  List after swap: [40, 57, 22, -85, 4, 61, -11, 65, -83, 7]
  Compare 65 and -83
  Swap 65 and -83
  List after swap: [40, 57, 22, -85, 4, 61, -11, -83, 65, 7]
  Compare 65 and 7
  Swap 65 and 7
  List after swap: [40, 57, 22, -85, 4, 61, -11, -83, 7, 65]

Pass 2:
  Compare 40 and 57
  No swap needed
  Compare 57 and 22
  Swap 57 and 22
  List after swap: [40, 22, 57, -85, 4, 61, -11, -83, 7, 65]
  Compare 57 and -85
  Swap 57 and -85
  List after swap: [40, 22, -85, 57, 4, 61, -11, -83, 7, 65]
  Compare 57 and 4
  Swap 57 and 4
  List after swap: [40, 22, -85, 4, 57, 61, -11, -83, 7, 65]
  Compare 57 and 61
  No swap needed
  Compare 61 and -11
  Swap 61 and -11
  List after swap: [40, 22, -85, 4, 57, -11, 61, -83, 7, 65]
  Compare 61 and -83
  Swap 61 and -83
  List after swap: [40, 22, -85, 4, 57, -11, -83, 61, 7, 65]
  Compare 61 and 7
  Swap 61 and 7
  List after swap: [40, 22, -85, 4, 57, -11, -83, 7, 61, 65]

Pass 3:
  Compare 40 and 22
  Swap 40 and 22
  List after swap: [22, 40, -85, 4, 57, -11, -83, 7, 61, 65]
  Compare 40 and -85
  Swap 40 and -85
  List after swap: [22, -85, 40, 4, 57, -11, -83, 7, 61, 65]
  Compare 40 and 4
  Swap 40 and 4
  List after swap: [22, -85, 4, 40, 57, -11, -83, 7, 61, 65]
  Compare 40 and 57
  No swap needed
  Compare 57 and -11
  Swap 57 and -11
  List after swap: [22, -85, 4, 40, -11, 57, -83, 7, 61, 65]
  Compare 57 and -83
  Swap 57 and -83
  List after swap: [22, -85, 4, 40, -11, -83, 57, 7, 61, 65]
  Compare 57 and 7
  Swap 57 and 7
  List after swap: [22, -85, 4, 40, -11, -83, 7, 57, 61, 65]

Pass 4:
  Compare 22 and -85
  Swap 22 and -85
  List after swap: [-85, 22, 4, 40, -11, -83, 7, 57, 61, 65]
  Compare 22 and 4
  Swap 22 and 4
  List after swap: [-85, 4, 22, 40, -11, -83, 7, 57, 61, 65]
  Compare 22 and 40
  No swap needed
  Compare 40 and -11
  Swap 40 and -11
  List after swap: [-85, 4, 22, -11, 40, -83, 7, 57, 61, 65]
  Compare 40 and -83
  Swap 40 and -83
  List after swap: [-85, 4, 22, -11, -83, 40, 7, 57, 61, 65]
  Compare 40 and 7
  Swap 40 and 7
  List after swap: [-85, 4, 22, -11, -83, 7, 40, 57, 61, 65]

Pass 5:
  Compare -85 and 4
  No swap needed
  Compare 4 and 22
  No swap needed
  Compare 22 and -11
  Swap 22 and -11
  List after swap: [-85, 4, -11, 22, -83, 7, 40, 57, 61, 65]
  Compare 22 and -83
  Swap 22 and -83
  List after swap: [-85, 4, -11, -83, 22, 7, 40, 57, 61, 65]
  Compare 22 and 7
  Swap 22 and 7
  List after swap: [-85, 4, -11, -83, 7, 22, 40, 57, 61, 65]

Pass 6:
  Compare -85 and 4
  No swap needed
  Compare 4 and -11
  Swap 4 and -11
  List after swap: [-85, -11, 4, -83, 7, 22, 40, 57, 61, 65]
  Compare 4 and -83
  Swap 4 and -83
  List after swap: [-85, -11, -83, 4, 7, 22, 40, 57, 61, 65]
  Compare 4 and 7
  No swap needed

Pass 7:
  Compare -85 and -11
  No swap needed
  Compare -11 and -83
  Swap -11 and -83
  List after swap: [-85, -83, -11, 4, 7, 22, 40, 57, 61, 65]
  Compare -11 and 4
  No swap needed

Pass 8:
  Compare -85 and -83
  No swap needed
  Compare -83 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -83, -11, 4, 7, 22, 40, 57, 61, 65]
</think>

<response>-85, -83, -11, 4, 7, 22, 40, 57, 61, 65</response>


input: Execute bubble sort to sort 3, 43, -66 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [3, 43, -66]

Pass 1:
  Compare 3 and 43
  No swap needed
  Compare 43 and -66
  Swap 43 and -66
  List after swap: [3, -66, 43]

Pass 2:
  Compare 3 and -66
  Swap 3 and -66
  List after swap: [-66, 3, 43]

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

Final sorted list: [-66, 3, 43]
</think>

<response>-66, 3, 43</response>


input: Execute bubble sort to sort -64, -26, -5 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-64, -26, -5]

Pass 1:
  Compare -64 and -26
  No swap needed
  Compare -26 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -26, -5]
</think>

<response>-64, -26, -5</response>


input: Use the bubble sort technique to reorder 8, -32, 7, -31, 77, -14 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [8, -32, 7, -31, 77, -14]

Pass 1:
  Compare 8 and -32
  Swap 8 and -32
  List after swap: [-32, 8, 7, -31, 77, -14]
  Compare 8 and 7
  Swap 8 and 7
  List after swap: [-32, 7, 8, -31, 77, -14]
  Compare 8 and -31
  Swap 8 and -31
  List after swap: [-32, 7, -31, 8, 77, -14]
  Compare 8 and 77
  No swap needed
  Compare 77 and -14
  Swap 77 and -14
  List after swap: [-32, 7, -31, 8, -14, 77]

Pass 2:
  Compare -32 and 7
  No swap needed
  Compare 7 and -31
  Swap 7 and -31
  List after swap: [-32, -31, 7, 8, -14, 77]
  Compare 7 and 8
  No swap needed
  Compare 8 and -14
  Swap 8 and -14
  List after swap: [-32, -31, 7, -14, 8, 77]

Pass 3:
  Compare -32 and -31
  No swap needed
  Compare -31 and 7
  No swap needed
  Compare 7 and -14
  Swap 7 and -14
  List after swap: [-32, -31, -14, 7, 8, 77]

Pass 4:
  Compare -32 and -31
  No swap needed
  Compare -31 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-32, -31, -14, 7, 8, 77]
</think>

<response>-32, -31, -14, 7, 8, 77</response>


input: Execute bubble sort to sort 9, -3, 42, 23 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [9, -3, 42, 23]

Pass 1:
  Compare 9 and -3
  Swap 9 and -3
  List after swap: [-3, 9, 42, 23]
  Compare 9 and 42
  No swap needed
  Compare 42 and 23
  Swap 42 and 23
  List after swap: [-3, 9, 23, 42]

Pass 2:
  Compare -3 and 9
  No swap needed
  Compare 9 and 23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-3, 9, 23, 42]
</think>

<response>-3, 9, 23, 42</response>


input: Sort these integers 78, 35, 76, -5, 2, 73, -71, -64 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [78, 35, 76, -5, 2, 73, -71, -64]

Pass 1:
  Compare 78 and 35
  Swap 78 and 35
  List after swap: [35, 78, 76, -5, 2, 73, -71, -64]
  Compare 78 and 76
  Swap 78 and 76
  List after swap: [35, 76, 78, -5, 2, 73, -71, -64]
  Compare 78 and -5
  Swap 78 and -5
  List after swap: [35, 76, -5, 78, 2, 73, -71, -64]
  Compare 78 and 2
  Swap 78 and 2
  List after swap: [35, 76, -5, 2, 78, 73, -71, -64]
  Compare 78 and 73
  Swap 78 and 73
  List after swap: [35, 76, -5, 2, 73, 78, -71, -64]
  Compare 78 and -71
  Swap 78 and -71
  List after swap: [35, 76, -5, 2, 73, -71, 78, -64]
  Compare 78 and -64
  Swap 78 and -64
  List after swap: [35, 76, -5, 2, 73, -71, -64, 78]

Pass 2:
  Compare 35 and 76
  No swap needed
  Compare 76 and -5
  Swap 76 and -5
  List after swap: [35, -5, 76, 2, 73, -71, -64, 78]
  Compare 76 and 2
  Swap 76 and 2
  List after swap: [35, -5, 2, 76, 73, -71, -64, 78]
  Compare 76 and 73
  Swap 76 and 73
  List after swap: [35, -5, 2, 73, 76, -71, -64, 78]
  Compare 76 and -71
  Swap 76 and -71
  List after swap: [35, -5, 2, 73, -71, 76, -64, 78]
  Compare 76 and -64
  Swap 76 and -64
  List after swap: [35, -5, 2, 73, -71, -64, 76, 78]

Pass 3:
  Compare 35 and -5
  Swap 35 and -5
  List after swap: [-5, 35, 2, 73, -71, -64, 76, 78]
  Compare 35 and 2
  Swap 35 and 2
  List after swap: [-5, 2, 35, 73, -71, -64, 76, 78]
  Compare 35 and 73
  No swap needed
  Compare 73 and -71
  Swap 73 and -71
  List after swap: [-5, 2, 35, -71, 73, -64, 76, 78]
  Compare 73 and -64
  Swap 73 and -64
  List after swap: [-5, 2, 35, -71, -64, 73, 76, 78]

Pass 4:
  Compare -5 and 2
  No swap needed
  Compare 2 and 35
  No swap needed
  Compare 35 and -71
  Swap 35 and -71
  List after swap: [-5, 2, -71, 35, -64, 73, 76, 78]
  Compare 35 and -64
  Swap 35 and -64
  List after swap: [-5, 2, -71, -64, 35, 73, 76, 78]

Pass 5:
  Compare -5 and 2
  No swap needed
  Compare 2 and -71
  Swap 2 and -71
  List after swap: [-5, -71, 2, -64, 35, 73, 76, 78]
  Compare 2 and -64
  Swap 2 and -64
  List after swap: [-5, -71, -64, 2, 35, 73, 76, 78]

Pass 6:
  Compare -5 and -71
  Swap -5 and -71
  List after swap: [-71, -5, -64, 2, 35, 73, 76, 78]
  Compare -5 and -64
  Swap -5 and -64
  List after swap: [-71, -64, -5, 2, 35, 73, 76, 78]

Pass 7:
  Compare -71 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -64, -5, 2, 35, 73, 76, 78]
</think>

<response>-71, -64, -5, 2, 35, 73, 76, 78</response>


input: Use the bubble sort technique to reorder 60, 45, 27, 75, -69, -15, -91 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [60, 45, 27, 75, -69, -15, -91]

Pass 1:
  Compare 60 and 45
  Swap 60 and 45
  List after swap: [45, 60, 27, 75, -69, -15, -91]
  Compare 60 and 27
  Swap 60 and 27
  List after swap: [45, 27, 60, 75, -69, -15, -91]
  Compare 60 and 75
  No swap needed
  Compare 75 and -69
  Swap 75 and -69
  List after swap: [45, 27, 60, -69, 75, -15, -91]
  Compare 75 and -15
  Swap 75 and -15
  List after swap: [45, 27, 60, -69, -15, 75, -91]
  Compare 75 and -91
  Swap 75 and -91
  List after swap: [45, 27, 60, -69, -15, -91, 75]

Pass 2:
  Compare 45 and 27
  Swap 45 and 27
  List after swap: [27, 45, 60, -69, -15, -91, 75]
  Compare 45 and 60
  No swap needed
  Compare 60 and -69
  Swap 60 and -69
  List after swap: [27, 45, -69, 60, -15, -91, 75]
  Compare 60 and -15
  Swap 60 and -15
  List after swap: [27, 45, -69, -15, 60, -91, 75]
  Compare 60 and -91
  Swap 60 and -91
  List after swap: [27, 45, -69, -15, -91, 60, 75]

Pass 3:
  Compare 27 and 45
  No swap needed
  Compare 45 and -69
  Swap 45 and -69
  List after swap: [27, -69, 45, -15, -91, 60, 75]
  Compare 45 and -15
  Swap 45 and -15
  List after swap: [27, -69, -15, 45, -91, 60, 75]
  Compare 45 and -91
  Swap 45 and -91
  List after swap: [27, -69, -15, -91, 45, 60, 75]

Pass 4:
  Compare 27 and -69
  Swap 27 and -69
  List after swap: [-69, 27, -15, -91, 45, 60, 75]
  Compare 27 and -15
  Swap 27 and -15
  List after swap: [-69, -15, 27, -91, 45, 60, 75]
  Compare 27 and -91
  Swap 27 and -91
  List after swap: [-69, -15, -91, 27, 45, 60, 75]

Pass 5:
  Compare -69 and -15
  No swap needed
  Compare -15 and -91
  Swap -15 and -91
  List after swap: [-69, -91, -15, 27, 45, 60, 75]

Pass 6:
  Compare -69 and -91
  Swap -69 and -91
  List after swap: [-91, -69, -15, 27, 45, 60, 75]

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

Final sorted list: [-91, -69, -15, 27, 45, 60, 75]
</think>

<response>-91, -69, -15, 27, 45, 60, 75</response>


input: Use the bubble sort technique to reorder 67, -4, -51, 71, -95 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [67, -4, -51, 71, -95]

Pass 1:
  Compare 67 and -4
  Swap 67 and -4
  List after swap: [-4, 67, -51, 71, -95]
  Compare 67 and -51
  Swap 67 and -51
  List after swap: [-4, -51, 67, 71, -95]
  Compare 67 and 71
  No swap needed
  Compare 71 and -95
  Swap 71 and -95
  List after swap: [-4, -51, 67, -95, 71]

Pass 2:
  Compare -4 and -51
  Swap -4 and -51
  List after swap: [-51, -4, 67, -95, 71]
  Compare -4 and 67
  No swap needed
  Compare 67 and -95
  Swap 67 and -95
  List after swap: [-51, -4, -95, 67, 71]

Pass 3:
  Compare -51 and -4
  No swap needed
  Compare -4 and -95
  Swap -4 and -95
  List after swap: [-51, -95, -4, 67, 71]

Pass 4:
  Compare -51 and -95
  Swap -51 and -95
  List after swap: [-95, -51, -4, 67, 71]

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

Final sorted list: [-95, -51, -4, 67, 71]
</think>

<response>-95, -51, -4, 67, 71</response>


input: Using the bubble sort method, sort 33, 8, 65, -15, -85, -42, 60 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [33, 8, 65, -15, -85, -42, 60]

Pass 1:
  Compare 33 and 8
  Swap 33 and 8
  List after swap: [8, 33, 65, -15, -85, -42, 60]
  Compare 33 and 65
  No swap needed
  Compare 65 and -15
  Swap 65 and -15
  List after swap: [8, 33, -15, 65, -85, -42, 60]
  Compare 65 and -85
  Swap 65 and -85
  List after swap: [8, 33, -15, -85, 65, -42, 60]
  Compare 65 and -42
  Swap 65 and -42
  List after swap: [8, 33, -15, -85, -42, 65, 60]
  Compare 65 and 60
  Swap 65 and 60
  List after swap: [8, 33, -15, -85, -42, 60, 65]

Pass 2:
  Compare 8 and 33
  No swap needed
  Compare 33 and -15
  Swap 33 and -15
  List after swap: [8, -15, 33, -85, -42, 60, 65]
  Compare 33 and -85
  Swap 33 and -85
  List after swap: [8, -15, -85, 33, -42, 60, 65]
  Compare 33 and -42
  Swap 33 and -42
  List after swap: [8, -15, -85, -42, 33, 60, 65]
  Compare 33 and 60
  No swap needed

Pass 3:
  Compare 8 and -15
  Swap 8 and -15
  List after swap: [-15, 8, -85, -42, 33, 60, 65]
  Compare 8 and -85
  Swap 8 and -85
  List after swap: [-15, -85, 8, -42, 33, 60, 65]
  Compare 8 and -42
  Swap 8 and -42
  List after swap: [-15, -85, -42, 8, 33, 60, 65]
  Compare 8 and 33
  No swap needed

Pass 4:
  Compare -15 and -85
  Swap -15 and -85
  List after swap: [-85, -15, -42, 8, 33, 60, 65]
  Compare -15 and -42
  Swap -15 and -42
  List after swap: [-85, -42, -15, 8, 33, 60, 65]
  Compare -15 and 8
  No swap needed

Pass 5:
  Compare -85 and -42
  No swap needed
  Compare -42 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -42, -15, 8, 33, 60, 65]
</think>

<response>-85, -42, -15, 8, 33, 60, 65</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 69, 23, 78, -57, -32.

output:
<think>
Initial list: [69, 23, 78, -57, -32]

Pass 1:
  Compare 69 and 23
  Swap 69 and 23
  List after swap: [23, 69, 78, -57, -32]
  Compare 69 and 78
  No swap needed
  Compare 78 and -57
  Swap 78 and -57
  List after swap: [23, 69, -57, 78, -32]
  Compare 78 and -32
  Swap 78 and -32
  List after swap: [23, 69, -57, -32, 78]

Pass 2:
  Compare 23 and 69
  No swap needed
  Compare 69 and -57
  Swap 69 and -57
  List after swap: [23, -57, 69, -32, 78]
  Compare 69 and -32
  Swap 69 and -32
  List after swap: [23, -57, -32, 69, 78]

Pass 3:
  Compare 23 and -57
  Swap 23 and -57
  List after swap: [-57, 23, -32, 69, 78]
  Compare 23 and -32
  Swap 23 and -32
  List after swap: [-57, -32, 23, 69, 78]

Pass 4:
  Compare -57 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -32, 23, 69, 78]
</think>

<response>-57, -32, 23, 69, 78</response>


input: Using the bubble sort method, sort -1, -13, -71, 0, 34, 91, 61, -61 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-1, -13, -71, 0, 34, 91, 61, -61]

Pass 1:
  Compare -1 and -13
  Swap -1 and -13
  List after swap: [-13, -1, -71, 0, 34, 91, 61, -61]
  Compare -1 and -71
  Swap -1 and -71
  List after swap: [-13, -71, -1, 0, 34, 91, 61, -61]
  Compare -1 and 0
  No swap needed
  Compare 0 and 34
  No swap needed
  Compare 34 and 91
  No swap needed
  Compare 91 and 61
  Swap 91 and 61
  List after swap: [-13, -71, -1, 0, 34, 61, 91, -61]
  Compare 91 and -61
  Swap 91 and -61
  List after swap: [-13, -71, -1, 0, 34, 61, -61, 91]

Pass 2:
  Compare -13 and -71
  Swap -13 and -71
  List after swap: [-71, -13, -1, 0, 34, 61, -61, 91]
  Compare -13 and -1
  No swap needed
  Compare -1 and 0
  No swap needed
  Compare 0 and 34
  No swap needed
  Compare 34 and 61
  No swap needed
  Compare 61 and -61
  Swap 61 and -61
  List after swap: [-71, -13, -1, 0, 34, -61, 61, 91]

Pass 3:
  Compare -71 and -13
  No swap needed
  Compare -13 and -1
  No swap needed
  Compare -1 and 0
  No swap needed
  Compare 0 and 34
  No swap needed
  Compare 34 and -61
  Swap 34 and -61
  List after swap: [-71, -13, -1, 0, -61, 34, 61, 91]

Pass 4:
  Compare -71 and -13
  No swap needed
  Compare -13 and -1
  No swap needed
  Compare -1 and 0
  No swap needed
  Compare 0 and -61
  Swap 0 and -61
  List after swap: [-71, -13, -1, -61, 0, 34, 61, 91]

Pass 5:
  Compare -71 and -13
  No swap needed
  Compare -13 and -1
  No swap needed
  Compare -1 and -61
  Swap -1 and -61
  List after swap: [-71, -13, -61, -1, 0, 34, 61, 91]

Pass 6:
  Compare -71 and -13
  No swap needed
  Compare -13 and -61
  Swap -13 and -61
  List after swap: [-71, -61, -13, -1, 0, 34, 61, 91]

Pass 7:
  Compare -71 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -61, -13, -1, 0, 34, 61, 91]
</think>

<response>-71, -61, -13, -1, 0, 34, 61, 91</response>


input: Carry out the bubble sort algorithm on 44, 52, 37, -70, 25, 50, -15, 95 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [44, 52, 37, -70, 25, 50, -15, 95]

Pass 1:
  Compare 44 and 52
  No swap needed
  Compare 52 and 37
  Swap 52 and 37
  List after swap: [44, 37, 52, -70, 25, 50, -15, 95]
  Compare 52 and -70
  Swap 52 and -70
  List after swap: [44, 37, -70, 52, 25, 50, -15, 95]
  Compare 52 and 25
  Swap 52 and 25
  List after swap: [44, 37, -70, 25, 52, 50, -15, 95]
  Compare 52 and 50
  Swap 52 and 50
  List after swap: [44, 37, -70, 25, 50, 52, -15, 95]
  Compare 52 and -15
  Swap 52 and -15
  List after swap: [44, 37, -70, 25, 50, -15, 52, 95]
  Compare 52 and 95
  No swap needed

Pass 2:
  Compare 44 and 37
  Swap 44 and 37
  List after swap: [37, 44, -70, 25, 50, -15, 52, 95]
  Compare 44 and -70
  Swap 44 and -70
  List after swap: [37, -70, 44, 25, 50, -15, 52, 95]
  Compare 44 and 25
  Swap 44 and 25
  List after swap: [37, -70, 25, 44, 50, -15, 52, 95]
  Compare 44 and 50
  No swap needed
  Compare 50 and -15
  Swap 50 and -15
  List after swap: [37, -70, 25, 44, -15, 50, 52, 95]
  Compare 50 and 52
  No swap needed

Pass 3:
  Compare 37 and -70
  Swap 37 and -70
  List after swap: [-70, 37, 25, 44, -15, 50, 52, 95]
  Compare 37 and 25
  Swap 37 and 25
  List after swap: [-70, 25, 37, 44, -15, 50, 52, 95]
  Compare 37 and 44
  No swap needed
  Compare 44 and -15
  Swap 44 and -15
  List after swap: [-70, 25, 37, -15, 44, 50, 52, 95]
  Compare 44 and 50
  No swap needed

Pass 4:
  Compare -70 and 25
  No swap needed
  Compare 25 and 37
  No swap needed
  Compare 37 and -15
  Swap 37 and -15
  List after swap: [-70, 25, -15, 37, 44, 50, 52, 95]
  Compare 37 and 44
  No swap needed

Pass 5:
  Compare -70 and 25
  No swap needed
  Compare 25 and -15
  Swap 25 and -15
  List after swap: [-70, -15, 25, 37, 44, 50, 52, 95]
  Compare 25 and 37
  No swap needed

Pass 6:
  Compare -70 and -15
  No swap needed
  Compare -15 and 25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -15, 25, 37, 44, 50, 52, 95]
</think>

<response>-70, -15, 25, 37, 44, 50, 52, 95</response>


input: Execute bubble sort to sort -5, 28, -67, -49 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-5, 28, -67, -49]

Pass 1:
  Compare -5 and 28
  No swap needed
  Compare 28 and -67
  Swap 28 and -67
  List after swap: [-5, -67, 28, -49]
  Compare 28 and -49
  Swap 28 and -49
  List after swap: [-5, -67, -49, 28]

Pass 2:
  Compare -5 and -67
  Swap -5 and -67
  List after swap: [-67, -5, -49, 28]
  Compare -5 and -49
  Swap -5 and -49
  List after swap: [-67, -49, -5, 28]

Pass 3:
  Compare -67 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -49, -5, 28]
</think>

<response>-67, -49, -5, 28</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 86, 0, -75.

output:
<think>
Initial list: [86, 0, -75]

Pass 1:
  Compare 86 and 0
  Swap 86 and 0
  List after swap: [0, 86, -75]
  Compare 86 and -75
  Swap 86 and -75
  List after swap: [0, -75, 86]

Pass 2:
  Compare 0 and -75
  Swap 0 and -75
  List after swap: [-75, 0, 86]

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

Final sorted list: [-75, 0, 86]
</think>

<response>-75, 0, 86</response>


input: Sort the list 17, -32, 57, 15, -5 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [17, -32, 57, 15, -5]

Pass 1:
  Compare 17 and -32
  Swap 17 and -32
  List after swap: [-32, 17, 57, 15, -5]
  Compare 17 and 57
  No swap needed
  Compare 57 and 15
  Swap 57 and 15
  List after swap: [-32, 17, 15, 57, -5]
  Compare 57 and -5
  Swap 57 and -5
  List after swap: [-32, 17, 15, -5, 57]

Pass 2:
  Compare -32 and 17
  No swap needed
  Compare 17 and 15
  Swap 17 and 15
  List after swap: [-32, 15, 17, -5, 57]
  Compare 17 and -5
  Swap 17 and -5
  List after swap: [-32, 15, -5, 17, 57]

Pass 3:
  Compare -32 and 15
  No swap needed
  Compare 15 and -5
  Swap 15 and -5
  List after swap: [-32, -5, 15, 17, 57]

Pass 4:
  Compare -32 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-32, -5, 15, 17, 57]
</think>

<response>-32, -5, 15, 17, 57</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 68, -96, 99, -33, 50, -16, -69, -86.

output:
<think>
Initial list: [68, -96, 99, -33, 50, -16, -69, -86]

Pass 1:
  Compare 68 and -96
  Swap 68 and -96
  List after swap: [-96, 68, 99, -33, 50, -16, -69, -86]
  Compare 68 and 99
  No swap needed
  Compare 99 and -33
  Swap 99 and -33
  List after swap: [-96, 68, -33, 99, 50, -16, -69, -86]
  Compare 99 and 50
  Swap 99 and 50
  List after swap: [-96, 68, -33, 50, 99, -16, -69, -86]
  Compare 99 and -16
  Swap 99 and -16
  List after swap: [-96, 68, -33, 50, -16, 99, -69, -86]
  Compare 99 and -69
  Swap 99 and -69
  List after swap: [-96, 68, -33, 50, -16, -69, 99, -86]
  Compare 99 and -86
  Swap 99 and -86
  List after swap: [-96, 68, -33, 50, -16, -69, -86, 99]

Pass 2:
  Compare -96 and 68
  No swap needed
  Compare 68 and -33
  Swap 68 and -33
  List after swap: [-96, -33, 68, 50, -16, -69, -86, 99]
  Compare 68 and 50
  Swap 68 and 50
  List after swap: [-96, -33, 50, 68, -16, -69, -86, 99]
  Compare 68 and -16
  Swap 68 and -16
  List after swap: [-96, -33, 50, -16, 68, -69, -86, 99]
  Compare 68 and -69
  Swap 68 and -69
  List after swap: [-96, -33, 50, -16, -69, 68, -86, 99]
  Compare 68 and -86
  Swap 68 and -86
  List after swap: [-96, -33, 50, -16, -69, -86, 68, 99]

Pass 3:
  Compare -96 and -33
  No swap needed
  Compare -33 and 50
  No swap needed
  Compare 50 and -16
  Swap 50 and -16
  List after swap: [-96, -33, -16, 50, -69, -86, 68, 99]
  Compare 50 and -69
  Swap 50 and -69
  List after swap: [-96, -33, -16, -69, 50, -86, 68, 99]
  Compare 50 and -86
  Swap 50 and -86
  List after swap: [-96, -33, -16, -69, -86, 50, 68, 99]

Pass 4:
  Compare -96 and -33
  No swap needed
  Compare -33 and -16
  No swap needed
  Compare -16 and -69
  Swap -16 and -69
  List after swap: [-96, -33, -69, -16, -86, 50, 68, 99]
  Compare -16 and -86
  Swap -16 and -86
  List after swap: [-96, -33, -69, -86, -16, 50, 68, 99]

Pass 5:
  Compare -96 and -33
  No swap needed
  Compare -33 and -69
  Swap -33 and -69
  List after swap: [-96, -69, -33, -86, -16, 50, 68, 99]
  Compare -33 and -86
  Swap -33 and -86
  List after swap: [-96, -69, -86, -33, -16, 50, 68, 99]

Pass 6:
  Compare -96 and -69
  No swap needed
  Compare -69 and -86
  Swap -69 and -86
  List after swap: [-96, -86, -69, -33, -16, 50, 68, 99]

Pass 7:
  Compare -96 and -86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -86, -69, -33, -16, 50, 68, 99]
</think>

<response>-96, -86, -69, -33, -16, 50, 68, 99</response>


input: Arrange the numbers -11, 53, -29, -82, 9, 48 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-11, 53, -29, -82, 9, 48]

Pass 1:
  Compare -11 and 53
  No swap needed
  Compare 53 and -29
  Swap 53 and -29
  List after swap: [-11, -29, 53, -82, 9, 48]
  Compare 53 and -82
  Swap 53 and -82
  List after swap: [-11, -29, -82, 53, 9, 48]
  Compare 53 and 9
  Swap 53 and 9
  List after swap: [-11, -29, -82, 9, 53, 48]
  Compare 53 and 48
  Swap 53 and 48
  List after swap: [-11, -29, -82, 9, 48, 53]

Pass 2:
  Compare -11 and -29
  Swap -11 and -29
  List after swap: [-29, -11, -82, 9, 48, 53]
  Compare -11 and -82
  Swap -11 and -82
  List after swap: [-29, -82, -11, 9, 48, 53]
  Compare -11 and 9
  No swap needed
  Compare 9 and 48
  No swap needed

Pass 3:
  Compare -29 and -82
  Swap -29 and -82
  List after swap: [-82, -29, -11, 9, 48, 53]
  Compare -29 and -11
  No swap needed
  Compare -11 and 9
  No swap needed

Pass 4:
  Compare -82 and -29
  No swap needed
  Compare -29 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -29, -11, 9, 48, 53]
</think>

<response>-82, -29, -11, 9, 48, 53</response>


input: Perform a bubble sort on the integers 49, -64, -54, 35, 6, 91, 54, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [49, -64, -54, 35, 6, 91, 54]

Pass 1:
  Compare 49 and -64
  Swap 49 and -64
  List after swap: [-64, 49, -54, 35, 6, 91, 54]
  Compare 49 and -54
  Swap 49 and -54
  List after swap: [-64, -54, 49, 35, 6, 91, 54]
  Compare 49 and 35
  Swap 49 and 35
  List after swap: [-64, -54, 35, 49, 6, 91, 54]
  Compare 49 and 6
  Swap 49 and 6
  List after swap: [-64, -54, 35, 6, 49, 91, 54]
  Compare 49 and 91
  No swap needed
  Compare 91 and 54
  Swap 91 and 54
  List after swap: [-64, -54, 35, 6, 49, 54, 91]

Pass 2:
  Compare -64 and -54
  No swap needed
  Compare -54 and 35
  No swap needed
  Compare 35 and 6
  Swap 35 and 6
  List after swap: [-64, -54, 6, 35, 49, 54, 91]
  Compare 35 and 49
  No swap needed
  Compare 49 and 54
  No swap needed

Pass 3:
  Compare -64 and -54
  No swap needed
  Compare -54 and 6
  No swap needed
  Compare 6 and 35
  No swap needed
  Compare 35 and 49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -54, 6, 35, 49, 54, 91]
</think>

<response>-64, -54, 6, 35, 49, 54, 91</response>


input: Arrange the numbers 39, 31, -34, 20, -48, -4, 47, -1, -90 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [39, 31, -34, 20, -48, -4, 47, -1, -90]

Pass 1:
  Compare 39 and 31
  Swap 39 and 31
  List after swap: [31, 39, -34, 20, -48, -4, 47, -1, -90]
  Compare 39 and -34
  Swap 39 and -34
  List after swap: [31, -34, 39, 20, -48, -4, 47, -1, -90]
  Compare 39 and 20
  Swap 39 and 20
  List after swap: [31, -34, 20, 39, -48, -4, 47, -1, -90]
  Compare 39 and -48
  Swap 39 and -48
  List after swap: [31, -34, 20, -48, 39, -4, 47, -1, -90]
  Compare 39 and -4
  Swap 39 and -4
  List after swap: [31, -34, 20, -48, -4, 39, 47, -1, -90]
  Compare 39 and 47
  No swap needed
  Compare 47 and -1
  Swap 47 and -1
  List after swap: [31, -34, 20, -48, -4, 39, -1, 47, -90]
  Compare 47 and -90
  Swap 47 and -90
  List after swap: [31, -34, 20, -48, -4, 39, -1, -90, 47]

Pass 2:
  Compare 31 and -34
  Swap 31 and -34
  List after swap: [-34, 31, 20, -48, -4, 39, -1, -90, 47]
  Compare 31 and 20
  Swap 31 and 20
  List after swap: [-34, 20, 31, -48, -4, 39, -1, -90, 47]
  Compare 31 and -48
  Swap 31 and -48
  List after swap: [-34, 20, -48, 31, -4, 39, -1, -90, 47]
  Compare 31 and -4
  Swap 31 and -4
  List after swap: [-34, 20, -48, -4, 31, 39, -1, -90, 47]
  Compare 31 and 39
  No swap needed
  Compare 39 and -1
  Swap 39 and -1
  List after swap: [-34, 20, -48, -4, 31, -1, 39, -90, 47]
  Compare 39 and -90
  Swap 39 and -90
  List after swap: [-34, 20, -48, -4, 31, -1, -90, 39, 47]

Pass 3:
  Compare -34 and 20
  No swap needed
  Compare 20 and -48
  Swap 20 and -48
  List after swap: [-34, -48, 20, -4, 31, -1, -90, 39, 47]
  Compare 20 and -4
  Swap 20 and -4
  List after swap: [-34, -48, -4, 20, 31, -1, -90, 39, 47]
  Compare 20 and 31
  No swap needed
  Compare 31 and -1
  Swap 31 and -1
  List after swap: [-34, -48, -4, 20, -1, 31, -90, 39, 47]
  Compare 31 and -90
  Swap 31 and -90
  List after swap: [-34, -48, -4, 20, -1, -90, 31, 39, 47]

Pass 4:
  Compare -34 and -48
  Swap -34 and -48
  List after swap: [-48, -34, -4, 20, -1, -90, 31, 39, 47]
  Compare -34 and -4
  No swap needed
  Compare -4 and 20
  No swap needed
  Compare 20 and -1
  Swap 20 and -1
  List after swap: [-48, -34, -4, -1, 20, -90, 31, 39, 47]
  Compare 20 and -90
  Swap 20 and -90
  List after swap: [-48, -34, -4, -1, -90, 20, 31, 39, 47]

Pass 5:
  Compare -48 and -34
  No swap needed
  Compare -34 and -4
  No swap needed
  Compare -4 and -1
  No swap needed
  Compare -1 and -90
  Swap -1 and -90
  List after swap: [-48, -34, -4, -90, -1, 20, 31, 39, 47]

Pass 6:
  Compare -48 and -34
  No swap needed
  Compare -34 and -4
  No swap needed
  Compare -4 and -90
  Swap -4 and -90
  List after swap: [-48, -34, -90, -4, -1, 20, 31, 39, 47]

Pass 7:
  Compare -48 and -34
  No swap needed
  Compare -34 and -90
  Swap -34 and -90
  List after swap: [-48, -90, -34, -4, -1, 20, 31, 39, 47]

Pass 8:
  Compare -48 and -90
  Swap -48 and -90
  List after swap: [-90, -48, -34, -4, -1, 20, 31, 39, 47]

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

Final sorted list: [-90, -48, -34, -4, -1, 20, 31, 39, 47]
</think>

<response>-90, -48, -34, -4, -1, 20, 31, 39, 47</response>


input: Demonstrate how bubble sort orders the integers 92, 79 in ascending sequence, showing all steps.

output:
<think>
Initial list: [92, 79]

Pass 1:
  Compare 92 and 79
  Swap 92 and 79
  List after swap: [79, 92]

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

Final sorted list: [79, 92]
</think>

<response>79, 92</response>


input: Perform a bubble sort on the integers -7, 85, -33, 19, -50, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-7, 85, -33, 19, -50]

Pass 1:
  Compare -7 and 85
  No swap needed
  Compare 85 and -33
  Swap 85 and -33
  List after swap: [-7, -33, 85, 19, -50]
  Compare 85 and 19
  Swap 85 and 19
  List after swap: [-7, -33, 19, 85, -50]
  Compare 85 and -50
  Swap 85 and -50
  List after swap: [-7, -33, 19, -50, 85]

Pass 2:
  Compare -7 and -33
  Swap -7 and -33
  List after swap: [-33, -7, 19, -50, 85]
  Compare -7 and 19
  No swap needed
  Compare 19 and -50
  Swap 19 and -50
  List after swap: [-33, -7, -50, 19, 85]

Pass 3:
  Compare -33 and -7
  No swap needed
  Compare -7 and -50
  Swap -7 and -50
  List after swap: [-33, -50, -7, 19, 85]

Pass 4:
  Compare -33 and -50
  Swap -33 and -50
  List after swap: [-50, -33, -7, 19, 85]

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

Final sorted list: [-50, -33, -7, 19, 85]
</think>

<response>-50, -33, -7, 19, 85</response>


input: Execute bubble sort to sort 2, -14, 12, 86, 59, -8, 19, 6, -60 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [2, -14, 12, 86, 59, -8, 19, 6, -60]

Pass 1:
  Compare 2 and -14
  Swap 2 and -14
  List after swap: [-14, 2, 12, 86, 59, -8, 19, 6, -60]
  Compare 2 and 12
  No swap needed
  Compare 12 and 86
  No swap needed
  Compare 86 and 59
  Swap 86 and 59
  List after swap: [-14, 2, 12, 59, 86, -8, 19, 6, -60]
  Compare 86 and -8
  Swap 86 and -8
  List after swap: [-14, 2, 12, 59, -8, 86, 19, 6, -60]
  Compare 86 and 19
  Swap 86 and 19
  List after swap: [-14, 2, 12, 59, -8, 19, 86, 6, -60]
  Compare 86 and 6
  Swap 86 and 6
  List after swap: [-14, 2, 12, 59, -8, 19, 6, 86, -60]
  Compare 86 and -60
  Swap 86 and -60
  List after swap: [-14, 2, 12, 59, -8, 19, 6, -60, 86]

Pass 2:
  Compare -14 and 2
  No swap needed
  Compare 2 and 12
  No swap needed
  Compare 12 and 59
  No swap needed
  Compare 59 and -8
  Swap 59 and -8
  List after swap: [-14, 2, 12, -8, 59, 19, 6, -60, 86]
  Compare 59 and 19
  Swap 59 and 19
  List after swap: [-14, 2, 12, -8, 19, 59, 6, -60, 86]
  Compare 59 and 6
  Swap 59 and 6
  List after swap: [-14, 2, 12, -8, 19, 6, 59, -60, 86]
  Compare 59 and -60
  Swap 59 and -60
  List after swap: [-14, 2, 12, -8, 19, 6, -60, 59, 86]

Pass 3:
  Compare -14 and 2
  No swap needed
  Compare 2 and 12
  No swap needed
  Compare 12 and -8
  Swap 12 and -8
  List after swap: [-14, 2, -8, 12, 19, 6, -60, 59, 86]
  Compare 12 and 19
  No swap needed
  Compare 19 and 6
  Swap 19 and 6
  List after swap: [-14, 2, -8, 12, 6, 19, -60, 59, 86]
  Compare 19 and -60
  Swap 19 and -60
  List after swap: [-14, 2, -8, 12, 6, -60, 19, 59, 86]

Pass 4:
  Compare -14 and 2
  No swap needed
  Compare 2 and -8
  Swap 2 and -8
  List after swap: [-14, -8, 2, 12, 6, -60, 19, 59, 86]
  Compare 2 and 12
  No swap needed
  Compare 12 and 6
  Swap 12 and 6
  List after swap: [-14, -8, 2, 6, 12, -60, 19, 59, 86]
  Compare 12 and -60
  Swap 12 and -60
  List after swap: [-14, -8, 2, 6, -60, 12, 19, 59, 86]

Pass 5:
  Compare -14 and -8
  No swap needed
  Compare -8 and 2
  No swap needed
  Compare 2 and 6
  No swap needed
  Compare 6 and -60
  Swap 6 and -60
  List after swap: [-14, -8, 2, -60, 6, 12, 19, 59, 86]

Pass 6:
  Compare -14 and -8
  No swap needed
  Compare -8 and 2
  No swap needed
  Compare 2 and -60
  Swap 2 and -60
  List after swap: [-14, -8, -60, 2, 6, 12, 19, 59, 86]

Pass 7:
  Compare -14 and -8
  No swap needed
  Compare -8 and -60
  Swap -8 and -60
  List after swap: [-14, -60, -8, 2, 6, 12, 19, 59, 86]

Pass 8:
  Compare -14 and -60
  Swap -14 and -60
  List after swap: [-60, -14, -8, 2, 6, 12, 19, 59, 86]

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

Final sorted list: [-60, -14, -8, 2, 6, 12, 19, 59, 86]
</think>

<response>-60, -14, -8, 2, 6, 12, 19, 59, 86</response>


input: Perform a bubble sort on the integers -28, -68, 57, -51, 44, -13, -2, 85, 18, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-28, -68, 57, -51, 44, -13, -2, 85, 18]

Pass 1:
  Compare -28 and -68
  Swap -28 and -68
  List after swap: [-68, -28, 57, -51, 44, -13, -2, 85, 18]
  Compare -28 and 57
  No swap needed
  Compare 57 and -51
  Swap 57 and -51
  List after swap: [-68, -28, -51, 57, 44, -13, -2, 85, 18]
  Compare 57 and 44
  Swap 57 and 44
  List after swap: [-68, -28, -51, 44, 57, -13, -2, 85, 18]
  Compare 57 and -13
  Swap 57 and -13
  List after swap: [-68, -28, -51, 44, -13, 57, -2, 85, 18]
  Compare 57 and -2
  Swap 57 and -2
  List after swap: [-68, -28, -51, 44, -13, -2, 57, 85, 18]
  Compare 57 and 85
  No swap needed
  Compare 85 and 18
  Swap 85 and 18
  List after swap: [-68, -28, -51, 44, -13, -2, 57, 18, 85]

Pass 2:
  Compare -68 and -28
  No swap needed
  Compare -28 and -51
  Swap -28 and -51
  List after swap: [-68, -51, -28, 44, -13, -2, 57, 18, 85]
  Compare -28 and 44
  No swap needed
  Compare 44 and -13
  Swap 44 and -13
  List after swap: [-68, -51, -28, -13, 44, -2, 57, 18, 85]
  Compare 44 and -2
  Swap 44 and -2
  List after swap: [-68, -51, -28, -13, -2, 44, 57, 18, 85]
  Compare 44 and 57
  No swap needed
  Compare 57 and 18
  Swap 57 and 18
  List after swap: [-68, -51, -28, -13, -2, 44, 18, 57, 85]

Pass 3:
  Compare -68 and -51
  No swap needed
  Compare -51 and -28
  No swap needed
  Compare -28 and -13
  No swap needed
  Compare -13 and -2
  No swap needed
  Compare -2 and 44
  No swap needed
  Compare 44 and 18
  Swap 44 and 18
  List after swap: [-68, -51, -28, -13, -2, 18, 44, 57, 85]

Pass 4:
  Compare -68 and -51
  No swap needed
  Compare -51 and -28
  No swap needed
  Compare -28 and -13
  No swap needed
  Compare -13 and -2
  No swap needed
  Compare -2 and 18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -51, -28, -13, -2, 18, 44, 57, 85]
</think>

<response>-68, -51, -28, -13, -2, 18, 44, 57, 85</response>


input: Sort these integers -87, 80, 21, 17 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-87, 80, 21, 17]

Pass 1:
  Compare -87 and 80
  No swap needed
  Compare 80 and 21
  Swap 80 and 21
  List after swap: [-87, 21, 80, 17]
  Compare 80 and 17
  Swap 80 and 17
  List after swap: [-87, 21, 17, 80]

Pass 2:
  Compare -87 and 21
  No swap needed
  Compare 21 and 17
  Swap 21 and 17
  List after swap: [-87, 17, 21, 80]

Pass 3:
  Compare -87 and 17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, 17, 21, 80]
</think>

<response>-87, 17, 21, 80</response>


input: Carry out the bubble sort algorithm on -42, -25, 81, 25, -52, 35, -29 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-42, -25, 81, 25, -52, 35, -29]

Pass 1:
  Compare -42 and -25
  No swap needed
  Compare -25 and 81
  No swap needed
  Compare 81 and 25
  Swap 81 and 25
  List after swap: [-42, -25, 25, 81, -52, 35, -29]
  Compare 81 and -52
  Swap 81 and -52
  List after swap: [-42, -25, 25, -52, 81, 35, -29]
  Compare 81 and 35
  Swap 81 and 35
  List after swap: [-42, -25, 25, -52, 35, 81, -29]
  Compare 81 and -29
  Swap 81 and -29
  List after swap: [-42, -25, 25, -52, 35, -29, 81]

Pass 2:
  Compare -42 and -25
  No swap needed
  Compare -25 and 25
  No swap needed
  Compare 25 and -52
  Swap 25 and -52
  List after swap: [-42, -25, -52, 25, 35, -29, 81]
  Compare 25 and 35
  No swap needed
  Compare 35 and -29
  Swap 35 and -29
  List after swap: [-42, -25, -52, 25, -29, 35, 81]

Pass 3:
  Compare -42 and -25
  No swap needed
  Compare -25 and -52
  Swap -25 and -52
  List after swap: [-42, -52, -25, 25, -29, 35, 81]
  Compare -25 and 25
  No swap needed
  Compare 25 and -29
  Swap 25 and -29
  List after swap: [-42, -52, -25, -29, 25, 35, 81]

Pass 4:
  Compare -42 and -52
  Swap -42 and -52
  List after swap: [-52, -42, -25, -29, 25, 35, 81]
  Compare -42 and -25
  No swap needed
  Compare -25 and -29
  Swap -25 and -29
  List after swap: [-52, -42, -29, -25, 25, 35, 81]

Pass 5:
  Compare -52 and -42
  No swap needed
  Compare -42 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, -42, -29, -25, 25, 35, 81]
</think>

<response>-52, -42, -29, -25, 25, 35, 81</response>


input: Use the bubble sort technique to reorder 81, 70 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [81, 70]

Pass 1:
  Compare 81 and 70
  Swap 81 and 70
  List after swap: [70, 81]

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

Final sorted list: [70, 81]
</think>

<response>70, 81</response>


input: Perform a bubble sort on the integers -53, 75, 81, 55, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-53, 75, 81, 55]

Pass 1:
  Compare -53 and 75
  No swap needed
  Compare 75 and 81
  No swap needed
  Compare 81 and 55
  Swap 81 and 55
  List after swap: [-53, 75, 55, 81]

Pass 2:
  Compare -53 and 75
  No swap needed
  Compare 75 and 55
  Swap 75 and 55
  List after swap: [-53, 55, 75, 81]

Pass 3:
  Compare -53 and 55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-53, 55, 75, 81]
</think>

<response>-53, 55, 75, 81</response>


input: Sort these integers 55, -93, -15, 42, 87, -1, -46, -60, 75, 13 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [55, -93, -15, 42, 87, -1, -46, -60, 75, 13]

Pass 1:
  Compare 55 and -93
  Swap 55 and -93
  List after swap: [-93, 55, -15, 42, 87, -1, -46, -60, 75, 13]
  Compare 55 and -15
  Swap 55 and -15
  List after swap: [-93, -15, 55, 42, 87, -1, -46, -60, 75, 13]
  Compare 55 and 42
  Swap 55 and 42
  List after swap: [-93, -15, 42, 55, 87, -1, -46, -60, 75, 13]
  Compare 55 and 87
  No swap needed
  Compare 87 and -1
  Swap 87 and -1
  List after swap: [-93, -15, 42, 55, -1, 87, -46, -60, 75, 13]
  Compare 87 and -46
  Swap 87 and -46
  List after swap: [-93, -15, 42, 55, -1, -46, 87, -60, 75, 13]
  Compare 87 and -60
  Swap 87 and -60
  List after swap: [-93, -15, 42, 55, -1, -46, -60, 87, 75, 13]
  Compare 87 and 75
  Swap 87 and 75
  List after swap: [-93, -15, 42, 55, -1, -46, -60, 75, 87, 13]
  Compare 87 and 13
  Swap 87 and 13
  List after swap: [-93, -15, 42, 55, -1, -46, -60, 75, 13, 87]

Pass 2:
  Compare -93 and -15
  No swap needed
  Compare -15 and 42
  No swap needed
  Compare 42 and 55
  No swap needed
  Compare 55 and -1
  Swap 55 and -1
  List after swap: [-93, -15, 42, -1, 55, -46, -60, 75, 13, 87]
  Compare 55 and -46
  Swap 55 and -46
  List after swap: [-93, -15, 42, -1, -46, 55, -60, 75, 13, 87]
  Compare 55 and -60
  Swap 55 and -60
  List after swap: [-93, -15, 42, -1, -46, -60, 55, 75, 13, 87]
  Compare 55 and 75
  No swap needed
  Compare 75 and 13
  Swap 75 and 13
  List after swap: [-93, -15, 42, -1, -46, -60, 55, 13, 75, 87]

Pass 3:
  Compare -93 and -15
  No swap needed
  Compare -15 and 42
  No swap needed
  Compare 42 and -1
  Swap 42 and -1
  List after swap: [-93, -15, -1, 42, -46, -60, 55, 13, 75, 87]
  Compare 42 and -46
  Swap 42 and -46
  List after swap: [-93, -15, -1, -46, 42, -60, 55, 13, 75, 87]
  Compare 42 and -60
  Swap 42 and -60
  List after swap: [-93, -15, -1, -46, -60, 42, 55, 13, 75, 87]
  Compare 42 and 55
  No swap needed
  Compare 55 and 13
  Swap 55 and 13
  List after swap: [-93, -15, -1, -46, -60, 42, 13, 55, 75, 87]

Pass 4:
  Compare -93 and -15
  No swap needed
  Compare -15 and -1
  No swap needed
  Compare -1 and -46
  Swap -1 and -46
  List after swap: [-93, -15, -46, -1, -60, 42, 13, 55, 75, 87]
  Compare -1 and -60
  Swap -1 and -60
  List after swap: [-93, -15, -46, -60, -1, 42, 13, 55, 75, 87]
  Compare -1 and 42
  No swap needed
  Compare 42 and 13
  Swap 42 and 13
  List after swap: [-93, -15, -46, -60, -1, 13, 42, 55, 75, 87]

Pass 5:
  Compare -93 and -15
  No swap needed
  Compare -15 and -46
  Swap -15 and -46
  List after swap: [-93, -46, -15, -60, -1, 13, 42, 55, 75, 87]
  Compare -15 and -60
  Swap -15 and -60
  List after swap: [-93, -46, -60, -15, -1, 13, 42, 55, 75, 87]
  Compare -15 and -1
  No swap needed
  Compare -1 and 13
  No swap needed

Pass 6:
  Compare -93 and -46
  No swap needed
  Compare -46 and -60
  Swap -46 and -60
  List after swap: [-93, -60, -46, -15, -1, 13, 42, 55, 75, 87]
  Compare -46 and -15
  No swap needed
  Compare -15 and -1
  No swap needed

Pass 7:
  Compare -93 and -60
  No swap needed
  Compare -60 and -46
  No swap needed
  Compare -46 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -60, -46, -15, -1, 13, 42, 55, 75, 87]
</think>

<response>-93, -60, -46, -15, -1, 13, 42, 55, 75, 87</response>


input: Sort these integers -63, 94, -53, 91, -82 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-63, 94, -53, 91, -82]

Pass 1:
  Compare -63 and 94
  No swap needed
  Compare 94 and -53
  Swap 94 and -53
  List after swap: [-63, -53, 94, 91, -82]
  Compare 94 and 91
  Swap 94 and 91
  List after swap: [-63, -53, 91, 94, -82]
  Compare 94 and -82
  Swap 94 and -82
  List after swap: [-63, -53, 91, -82, 94]

Pass 2:
  Compare -63 and -53
  No swap needed
  Compare -53 and 91
  No swap needed
  Compare 91 and -82
  Swap 91 and -82
  List after swap: [-63, -53, -82, 91, 94]

Pass 3:
  Compare -63 and -53
  No swap needed
  Compare -53 and -82
  Swap -53 and -82
  List after swap: [-63, -82, -53, 91, 94]

Pass 4:
  Compare -63 and -82
  Swap -63 and -82
  List after swap: [-82, -63, -53, 91, 94]

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

Final sorted list: [-82, -63, -53, 91, 94]
</think>

<response>-82, -63, -53, 91, 94</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -38, 87, 81, 90, 67, 28, -66, 86.

output:
<think>
Initial list: [-38, 87, 81, 90, 67, 28, -66, 86]

Pass 1:
  Compare -38 and 87
  No swap needed
  Compare 87 and 81
  Swap 87 and 81
  List after swap: [-38, 81, 87, 90, 67, 28, -66, 86]
  Compare 87 and 90
  No swap needed
  Compare 90 and 67
  Swap 90 and 67
  List after swap: [-38, 81, 87, 67, 90, 28, -66, 86]
  Compare 90 and 28
  Swap 90 and 28
  List after swap: [-38, 81, 87, 67, 28, 90, -66, 86]
  Compare 90 and -66
  Swap 90 and -66
  List after swap: [-38, 81, 87, 67, 28, -66, 90, 86]
  Compare 90 and 86
  Swap 90 and 86
  List after swap: [-38, 81, 87, 67, 28, -66, 86, 90]

Pass 2:
  Compare -38 and 81
  No swap needed
  Compare 81 and 87
  No swap needed
  Compare 87 and 67
  Swap 87 and 67
  List after swap: [-38, 81, 67, 87, 28, -66, 86, 90]
  Compare 87 and 28
  Swap 87 and 28
  List after swap: [-38, 81, 67, 28, 87, -66, 86, 90]
  Compare 87 and -66
  Swap 87 and -66
  List after swap: [-38, 81, 67, 28, -66, 87, 86, 90]
  Compare 87 and 86
  Swap 87 and 86
  List after swap: [-38, 81, 67, 28, -66, 86, 87, 90]

Pass 3:
  Compare -38 and 81
  No swap needed
  Compare 81 and 67
  Swap 81 and 67
  List after swap: [-38, 67, 81, 28, -66, 86, 87, 90]
  Compare 81 and 28
  Swap 81 and 28
  List after swap: [-38, 67, 28, 81, -66, 86, 87, 90]
  Compare 81 and -66
  Swap 81 and -66
  List after swap: [-38, 67, 28, -66, 81, 86, 87, 90]
  Compare 81 and 86
  No swap needed

Pass 4:
  Compare -38 and 67
  No swap needed
  Compare 67 and 28
  Swap 67 and 28
  List after swap: [-38, 28, 67, -66, 81, 86, 87, 90]
  Compare 67 and -66
  Swap 67 and -66
  List after swap: [-38, 28, -66, 67, 81, 86, 87, 90]
  Compare 67 and 81
  No swap needed

Pass 5:
  Compare -38 and 28
  No swap needed
  Compare 28 and -66
  Swap 28 and -66
  List after swap: [-38, -66, 28, 67, 81, 86, 87, 90]
  Compare 28 and 67
  No swap needed

Pass 6:
  Compare -38 and -66
  Swap -38 and -66
  List after swap: [-66, -38, 28, 67, 81, 86, 87, 90]
  Compare -38 and 28
  No swap needed

Pass 7:
  Compare -66 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -38, 28, 67, 81, 86, 87, 90]
</think>

<response>-66, -38, 28, 67, 81, 86, 87, 90</response>


input: Demonstrate how bubble sort orders the integers -31, 69, -96, 17, -1, -85, -54, -22 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-31, 69, -96, 17, -1, -85, -54, -22]

Pass 1:
  Compare -31 and 69
  No swap needed
  Compare 69 and -96
  Swap 69 and -96
  List after swap: [-31, -96, 69, 17, -1, -85, -54, -22]
  Compare 69 and 17
  Swap 69 and 17
  List after swap: [-31, -96, 17, 69, -1, -85, -54, -22]
  Compare 69 and -1
  Swap 69 and -1
  List after swap: [-31, -96, 17, -1, 69, -85, -54, -22]
  Compare 69 and -85
  Swap 69 and -85
  List after swap: [-31, -96, 17, -1, -85, 69, -54, -22]
  Compare 69 and -54
  Swap 69 and -54
  List after swap: [-31, -96, 17, -1, -85, -54, 69, -22]
  Compare 69 and -22
  Swap 69 and -22
  List after swap: [-31, -96, 17, -1, -85, -54, -22, 69]

Pass 2:
  Compare -31 and -96
  Swap -31 and -96
  List after swap: [-96, -31, 17, -1, -85, -54, -22, 69]
  Compare -31 and 17
  No swap needed
  Compare 17 and -1
  Swap 17 and -1
  List after swap: [-96, -31, -1, 17, -85, -54, -22, 69]
  Compare 17 and -85
  Swap 17 and -85
  List after swap: [-96, -31, -1, -85, 17, -54, -22, 69]
  Compare 17 and -54
  Swap 17 and -54
  List after swap: [-96, -31, -1, -85, -54, 17, -22, 69]
  Compare 17 and -22
  Swap 17 and -22
  List after swap: [-96, -31, -1, -85, -54, -22, 17, 69]

Pass 3:
  Compare -96 and -31
  No swap needed
  Compare -31 and -1
  No swap needed
  Compare -1 and -85
  Swap -1 and -85
  List after swap: [-96, -31, -85, -1, -54, -22, 17, 69]
  Compare -1 and -54
  Swap -1 and -54
  List after swap: [-96, -31, -85, -54, -1, -22, 17, 69]
  Compare -1 and -22
  Swap -1 and -22
  List after swap: [-96, -31, -85, -54, -22, -1, 17, 69]

Pass 4:
  Compare -96 and -31
  No swap needed
  Compare -31 and -85
  Swap -31 and -85
  List after swap: [-96, -85, -31, -54, -22, -1, 17, 69]
  Compare -31 and -54
  Swap -31 and -54
  List after swap: [-96, -85, -54, -31, -22, -1, 17, 69]
  Compare -31 and -22
  No swap needed

Pass 5:
  Compare -96 and -85
  No swap needed
  Compare -85 and -54
  No swap needed
  Compare -54 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -85, -54, -31, -22, -1, 17, 69]
</think>

<response>-96, -85, -54, -31, -22, -1, 17, 69</response>


input: Demonstrate how bubble sort orders the integers -37, 32, 38 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-37, 32, 38]

Pass 1:
  Compare -37 and 32
  No swap needed
  Compare 32 and 38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-37, 32, 38]
</think>

<response>-37, 32, 38</response>


input: Demonstrate how bubble sort orders the integers -56, -95, -31, 60 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-56, -95, -31, 60]

Pass 1:
  Compare -56 and -95
  Swap -56 and -95
  List after swap: [-95, -56, -31, 60]
  Compare -56 and -31
  No swap needed
  Compare -31 and 60
  No swap needed

Pass 2:
  Compare -95 and -56
  No swap needed
  Compare -56 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -56, -31, 60]
</think>

<response>-95, -56, -31, 60</response>


input: Carry out the bubble sort algorithm on -40, 34, -2, 21, -1 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-40, 34, -2, 21, -1]

Pass 1:
  Compare -40 and 34
  No swap needed
  Compare 34 and -2
  Swap 34 and -2
  List after swap: [-40, -2, 34, 21, -1]
  Compare 34 and 21
  Swap 34 and 21
  List after swap: [-40, -2, 21, 34, -1]
  Compare 34 and -1
  Swap 34 and -1
  List after swap: [-40, -2, 21, -1, 34]

Pass 2:
  Compare -40 and -2
  No swap needed
  Compare -2 and 21
  No swap needed
  Compare 21 and -1
  Swap 21 and -1
  List after swap: [-40, -2, -1, 21, 34]

Pass 3:
  Compare -40 and -2
  No swap needed
  Compare -2 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-40, -2, -1, 21, 34]
</think>

<response>-40, -2, -1, 21, 34</response>


input: Using the bubble sort method, sort -76, -57, 22, -7 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-76, -57, 22, -7]

Pass 1:
  Compare -76 and -57
  No swap needed
  Compare -57 and 22
  No swap needed
  Compare 22 and -7
  Swap 22 and -7
  List after swap: [-76, -57, -7, 22]

Pass 2:
  Compare -76 and -57
  No swap needed
  Compare -57 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -57, -7, 22]
</think>

<response>-76, -57, -7, 22</response>


input: Arrange the numbers 83, 44, -91, 91, -98 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [83, 44, -91, 91, -98]

Pass 1:
  Compare 83 and 44
  Swap 83 and 44
  List after swap: [44, 83, -91, 91, -98]
  Compare 83 and -91
  Swap 83 and -91
  List after swap: [44, -91, 83, 91, -98]
  Compare 83 and 91
  No swap needed
  Compare 91 and -98
  Swap 91 and -98
  List after swap: [44, -91, 83, -98, 91]

Pass 2:
  Compare 44 and -91
  Swap 44 and -91
  List after swap: [-91, 44, 83, -98, 91]
  Compare 44 and 83
  No swap needed
  Compare 83 and -98
  Swap 83 and -98
  List after swap: [-91, 44, -98, 83, 91]

Pass 3:
  Compare -91 and 44
  No swap needed
  Compare 44 and -98
  Swap 44 and -98
  List after swap: [-91, -98, 44, 83, 91]

Pass 4:
  Compare -91 and -98
  Swap -91 and -98
  List after swap: [-98, -91, 44, 83, 91]

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

Final sorted list: [-98, -91, 44, 83, 91]
</think>

<response>-98, -91, 44, 83, 91</response>


input: Use the bubble sort technique to reorder 73, 68, 18, 51, 88, 6, -84, -82, -54, -88 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [73, 68, 18, 51, 88, 6, -84, -82, -54, -88]

Pass 1:
  Compare 73 and 68
  Swap 73 and 68
  List after swap: [68, 73, 18, 51, 88, 6, -84, -82, -54, -88]
  Compare 73 and 18
  Swap 73 and 18
  List after swap: [68, 18, 73, 51, 88, 6, -84, -82, -54, -88]
  Compare 73 and 51
  Swap 73 and 51
  List after swap: [68, 18, 51, 73, 88, 6, -84, -82, -54, -88]
  Compare 73 and 88
  No swap needed
  Compare 88 and 6
  Swap 88 and 6
  List after swap: [68, 18, 51, 73, 6, 88, -84, -82, -54, -88]
  Compare 88 and -84
  Swap 88 and -84
  List after swap: [68, 18, 51, 73, 6, -84, 88, -82, -54, -88]
  Compare 88 and -82
  Swap 88 and -82
  List after swap: [68, 18, 51, 73, 6, -84, -82, 88, -54, -88]
  Compare 88 and -54
  Swap 88 and -54
  List after swap: [68, 18, 51, 73, 6, -84, -82, -54, 88, -88]
  Compare 88 and -88
  Swap 88 and -88
  List after swap: [68, 18, 51, 73, 6, -84, -82, -54, -88, 88]

Pass 2:
  Compare 68 and 18
  Swap 68 and 18
  List after swap: [18, 68, 51, 73, 6, -84, -82, -54, -88, 88]
  Compare 68 and 51
  Swap 68 and 51
  List after swap: [18, 51, 68, 73, 6, -84, -82, -54, -88, 88]
  Compare 68 and 73
  No swap needed
  Compare 73 and 6
  Swap 73 and 6
  List after swap: [18, 51, 68, 6, 73, -84, -82, -54, -88, 88]
  Compare 73 and -84
  Swap 73 and -84
  List after swap: [18, 51, 68, 6, -84, 73, -82, -54, -88, 88]
  Compare 73 and -82
  Swap 73 and -82
  List after swap: [18, 51, 68, 6, -84, -82, 73, -54, -88, 88]
  Compare 73 and -54
  Swap 73 and -54
  List after swap: [18, 51, 68, 6, -84, -82, -54, 73, -88, 88]
  Compare 73 and -88
  Swap 73 and -88
  List after swap: [18, 51, 68, 6, -84, -82, -54, -88, 73, 88]

Pass 3:
  Compare 18 and 51
  No swap needed
  Compare 51 and 68
  No swap needed
  Compare 68 and 6
  Swap 68 and 6
  List after swap: [18, 51, 6, 68, -84, -82, -54, -88, 73, 88]
  Compare 68 and -84
  Swap 68 and -84
  List after swap: [18, 51, 6, -84, 68, -82, -54, -88, 73, 88]
  Compare 68 and -82
  Swap 68 and -82
  List after swap: [18, 51, 6, -84, -82, 68, -54, -88, 73, 88]
  Compare 68 and -54
  Swap 68 and -54
  List after swap: [18, 51, 6, -84, -82, -54, 68, -88, 73, 88]
  Compare 68 and -88
  Swap 68 and -88
  List after swap: [18, 51, 6, -84, -82, -54, -88, 68, 73, 88]

Pass 4:
  Compare 18 and 51
  No swap needed
  Compare 51 and 6
  Swap 51 and 6
  List after swap: [18, 6, 51, -84, -82, -54, -88, 68, 73, 88]
  Compare 51 and -84
  Swap 51 and -84
  List after swap: [18, 6, -84, 51, -82, -54, -88, 68, 73, 88]
  Compare 51 and -82
  Swap 51 and -82
  List after swap: [18, 6, -84, -82, 51, -54, -88, 68, 73, 88]
  Compare 51 and -54
  Swap 51 and -54
  List after swap: [18, 6, -84, -82, -54, 51, -88, 68, 73, 88]
  Compare 51 and -88
  Swap 51 and -88
  List after swap: [18, 6, -84, -82, -54, -88, 51, 68, 73, 88]

Pass 5:
  Compare 18 and 6
  Swap 18 and 6
  List after swap: [6, 18, -84, -82, -54, -88, 51, 68, 73, 88]
  Compare 18 and -84
  Swap 18 and -84
  List after swap: [6, -84, 18, -82, -54, -88, 51, 68, 73, 88]
  Compare 18 and -82
  Swap 18 and -82
  List after swap: [6, -84, -82, 18, -54, -88, 51, 68, 73, 88]
  Compare 18 and -54
  Swap 18 and -54
  List after swap: [6, -84, -82, -54, 18, -88, 51, 68, 73, 88]
  Compare 18 and -88
  Swap 18 and -88
  List after swap: [6, -84, -82, -54, -88, 18, 51, 68, 73, 88]

Pass 6:
  Compare 6 and -84
  Swap 6 and -84
  List after swap: [-84, 6, -82, -54, -88, 18, 51, 68, 73, 88]
  Compare 6 and -82
  Swap 6 and -82
  List after swap: [-84, -82, 6, -54, -88, 18, 51, 68, 73, 88]
  Compare 6 and -54
  Swap 6 and -54
  List after swap: [-84, -82, -54, 6, -88, 18, 51, 68, 73, 88]
  Compare 6 and -88
  Swap 6 and -88
  List after swap: [-84, -82, -54, -88, 6, 18, 51, 68, 73, 88]

Pass 7:
  Compare -84 and -82
  No swap needed
  Compare -82 and -54
  No swap needed
  Compare -54 and -88
  Swap -54 and -88
  List after swap: [-84, -82, -88, -54, 6, 18, 51, 68, 73, 88]

Pass 8:
  Compare -84 and -82
  No swap needed
  Compare -82 and -88
  Swap -82 and -88
  List after swap: [-84, -88, -82, -54, 6, 18, 51, 68, 73, 88]

Pass 9:
  Compare -84 and -88
  Swap -84 and -88
  List after swap: [-88, -84, -82, -54, 6, 18, 51, 68, 73, 88]

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

Final sorted list: [-88, -84, -82, -54, 6, 18, 51, 68, 73, 88]
</think>

<response>-88, -84, -82, -54, 6, 18, 51, 68, 73, 88</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -80, -53, 50, 1, 85, -16.

output:
<think>
Initial list: [-80, -53, 50, 1, 85, -16]

Pass 1:
  Compare -80 and -53
  No swap needed
  Compare -53 and 50
  No swap needed
  Compare 50 and 1
  Swap 50 and 1
  List after swap: [-80, -53, 1, 50, 85, -16]
  Compare 50 and 85
  No swap needed
  Compare 85 and -16
  Swap 85 and -16
  List after swap: [-80, -53, 1, 50, -16, 85]

Pass 2:
  Compare -80 and -53
  No swap needed
  Compare -53 and 1
  No swap needed
  Compare 1 and 50
  No swap needed
  Compare 50 and -16
  Swap 50 and -16
  List after swap: [-80, -53, 1, -16, 50, 85]

Pass 3:
  Compare -80 and -53
  No swap needed
  Compare -53 and 1
  No swap needed
  Compare 1 and -16
  Swap 1 and -16
  List after swap: [-80, -53, -16, 1, 50, 85]

Pass 4:
  Compare -80 and -53
  No swap needed
  Compare -53 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -53, -16, 1, 50, 85]
</think>

<response>-80, -53, -16, 1, 50, 85</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 52, 34, -79, 28.

output:
<think>
Initial list: [52, 34, -79, 28]

Pass 1:
  Compare 52 and 34
  Swap 52 and 34
  List after swap: [34, 52, -79, 28]
  Compare 52 and -79
  Swap 52 and -79
  List after swap: [34, -79, 52, 28]
  Compare 52 and 28
  Swap 52 and 28
  List after swap: [34, -79, 28, 52]

Pass 2:
  Compare 34 and -79
  Swap 34 and -79
  List after swap: [-79, 34, 28, 52]
  Compare 34 and 28
  Swap 34 and 28
  List after swap: [-79, 28, 34, 52]

Pass 3:
  Compare -79 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, 28, 34, 52]
</think>

<response>-79, 28, 34, 52</response>


input: Execute bubble sort to sort -23, -58, -30, -18, -50, -77, 45, 41, -14 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-23, -58, -30, -18, -50, -77, 45, 41, -14]

Pass 1:
  Compare -23 and -58
  Swap -23 and -58
  List after swap: [-58, -23, -30, -18, -50, -77, 45, 41, -14]
  Compare -23 and -30
  Swap -23 and -30
  List after swap: [-58, -30, -23, -18, -50, -77, 45, 41, -14]
  Compare -23 and -18
  No swap needed
  Compare -18 and -50
  Swap -18 and -50
  List after swap: [-58, -30, -23, -50, -18, -77, 45, 41, -14]
  Compare -18 and -77
  Swap -18 and -77
  List after swap: [-58, -30, -23, -50, -77, -18, 45, 41, -14]
  Compare -18 and 45
  No swap needed
  Compare 45 and 41
  Swap 45 and 41
  List after swap: [-58, -30, -23, -50, -77, -18, 41, 45, -14]
  Compare 45 and -14
  Swap 45 and -14
  List after swap: [-58, -30, -23, -50, -77, -18, 41, -14, 45]

Pass 2:
  Compare -58 and -30
  No swap needed
  Compare -30 and -23
  No swap needed
  Compare -23 and -50
  Swap -23 and -50
  List after swap: [-58, -30, -50, -23, -77, -18, 41, -14, 45]
  Compare -23 and -77
  Swap -23 and -77
  List after swap: [-58, -30, -50, -77, -23, -18, 41, -14, 45]
  Compare -23 and -18
  No swap needed
  Compare -18 and 41
  No swap needed
  Compare 41 and -14
  Swap 41 and -14
  List after swap: [-58, -30, -50, -77, -23, -18, -14, 41, 45]

Pass 3:
  Compare -58 and -30
  No swap needed
  Compare -30 and -50
  Swap -30 and -50
  List after swap: [-58, -50, -30, -77, -23, -18, -14, 41, 45]
  Compare -30 and -77
  Swap -30 and -77
  List after swap: [-58, -50, -77, -30, -23, -18, -14, 41, 45]
  Compare -30 and -23
  No swap needed
  Compare -23 and -18
  No swap needed
  Compare -18 and -14
  No swap needed

Pass 4:
  Compare -58 and -50
  No swap needed
  Compare -50 and -77
  Swap -50 and -77
  List after swap: [-58, -77, -50, -30, -23, -18, -14, 41, 45]
  Compare -50 and -30
  No swap needed
  Compare -30 and -23
  No swap needed
  Compare -23 and -18
  No swap needed

Pass 5:
  Compare -58 and -77
  Swap -58 and -77
  List after swap: [-77, -58, -50, -30, -23, -18, -14, 41, 45]
  Compare -58 and -50
  No swap needed
  Compare -50 and -30
  No swap needed
  Compare -30 and -23
  No swap needed

Pass 6:
  Compare -77 and -58
  No swap needed
  Compare -58 and -50
  No swap needed
  Compare -50 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -58, -50, -30, -23, -18, -14, 41, 45]
</think>

<response>-77, -58, -50, -30, -23, -18, -14, 41, 45</response>


input: Perform a bubble sort on the integers -62, 79, 49, 5, -80, 1, 81, 69, 75, 60, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-62, 79, 49, 5, -80, 1, 81, 69, 75, 60]

Pass 1:
  Compare -62 and 79
  No swap needed
  Compare 79 and 49
  Swap 79 and 49
  List after swap: [-62, 49, 79, 5, -80, 1, 81, 69, 75, 60]
  Compare 79 and 5
  Swap 79 and 5
  List after swap: [-62, 49, 5, 79, -80, 1, 81, 69, 75, 60]
  Compare 79 and -80
  Swap 79 and -80
  List after swap: [-62, 49, 5, -80, 79, 1, 81, 69, 75, 60]
  Compare 79 and 1
  Swap 79 and 1
  List after swap: [-62, 49, 5, -80, 1, 79, 81, 69, 75, 60]
  Compare 79 and 81
  No swap needed
  Compare 81 and 69
  Swap 81 and 69
  List after swap: [-62, 49, 5, -80, 1, 79, 69, 81, 75, 60]
  Compare 81 and 75
  Swap 81 and 75
  List after swap: [-62, 49, 5, -80, 1, 79, 69, 75, 81, 60]
  Compare 81 and 60
  Swap 81 and 60
  List after swap: [-62, 49, 5, -80, 1, 79, 69, 75, 60, 81]

Pass 2:
  Compare -62 and 49
  No swap needed
  Compare 49 and 5
  Swap 49 and 5
  List after swap: [-62, 5, 49, -80, 1, 79, 69, 75, 60, 81]
  Compare 49 and -80
  Swap 49 and -80
  List after swap: [-62, 5, -80, 49, 1, 79, 69, 75, 60, 81]
  Compare 49 and 1
  Swap 49 and 1
  List after swap: [-62, 5, -80, 1, 49, 79, 69, 75, 60, 81]
  Compare 49 and 79
  No swap needed
  Compare 79 and 69
  Swap 79 and 69
  List after swap: [-62, 5, -80, 1, 49, 69, 79, 75, 60, 81]
  Compare 79 and 75
  Swap 79 and 75
  List after swap: [-62, 5, -80, 1, 49, 69, 75, 79, 60, 81]
  Compare 79 and 60
  Swap 79 and 60
  List after swap: [-62, 5, -80, 1, 49, 69, 75, 60, 79, 81]

Pass 3:
  Compare -62 and 5
  No swap needed
  Compare 5 and -80
  Swap 5 and -80
  List after swap: [-62, -80, 5, 1, 49, 69, 75, 60, 79, 81]
  Compare 5 and 1
  Swap 5 and 1
  List after swap: [-62, -80, 1, 5, 49, 69, 75, 60, 79, 81]
  Compare 5 and 49
  No swap needed
  Compare 49 and 69
  No swap needed
  Compare 69 and 75
  No swap needed
  Compare 75 and 60
  Swap 75 and 60
  List after swap: [-62, -80, 1, 5, 49, 69, 60, 75, 79, 81]

Pass 4:
  Compare -62 and -80
  Swap -62 and -80
  List after swap: [-80, -62, 1, 5, 49, 69, 60, 75, 79, 81]
  Compare -62 and 1
  No swap needed
  Compare 1 and 5
  No swap needed
  Compare 5 and 49
  No swap needed
  Compare 49 and 69
  No swap needed
  Compare 69 and 60
  Swap 69 and 60
  List after swap: [-80, -62, 1, 5, 49, 60, 69, 75, 79, 81]

Pass 5:
  Compare -80 and -62
  No swap needed
  Compare -62 and 1
  No swap needed
  Compare 1 and 5
  No swap needed
  Compare 5 and 49
  No swap needed
  Compare 49 and 60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -62, 1, 5, 49, 60, 69, 75, 79, 81]
</think>

<response>-80, -62, 1, 5, 49, 60, 69, 75, 79, 81</response>


input: Use the bubble sort technique to reorder -79, -1, -44, 93, -83, 21, 67, -81 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-79, -1, -44, 93, -83, 21, 67, -81]

Pass 1:
  Compare -79 and -1
  No swap needed
  Compare -1 and -44
  Swap -1 and -44
  List after swap: [-79, -44, -1, 93, -83, 21, 67, -81]
  Compare -1 and 93
  No swap needed
  Compare 93 and -83
  Swap 93 and -83
  List after swap: [-79, -44, -1, -83, 93, 21, 67, -81]
  Compare 93 and 21
  Swap 93 and 21
  List after swap: [-79, -44, -1, -83, 21, 93, 67, -81]
  Compare 93 and 67
  Swap 93 and 67
  List after swap: [-79, -44, -1, -83, 21, 67, 93, -81]
  Compare 93 and -81
  Swap 93 and -81
  List after swap: [-79, -44, -1, -83, 21, 67, -81, 93]

Pass 2:
  Compare -79 and -44
  No swap needed
  Compare -44 and -1
  No swap needed
  Compare -1 and -83
  Swap -1 and -83
  List after swap: [-79, -44, -83, -1, 21, 67, -81, 93]
  Compare -1 and 21
  No swap needed
  Compare 21 and 67
  No swap needed
  Compare 67 and -81
  Swap 67 and -81
  List after swap: [-79, -44, -83, -1, 21, -81, 67, 93]

Pass 3:
  Compare -79 and -44
  No swap needed
  Compare -44 and -83
  Swap -44 and -83
  List after swap: [-79, -83, -44, -1, 21, -81, 67, 93]
  Compare -44 and -1
  No swap needed
  Compare -1 and 21
  No swap needed
  Compare 21 and -81
  Swap 21 and -81
  List after swap: [-79, -83, -44, -1, -81, 21, 67, 93]

Pass 4:
  Compare -79 and -83
  Swap -79 and -83
  List after swap: [-83, -79, -44, -1, -81, 21, 67, 93]
  Compare -79 and -44
  No swap needed
  Compare -44 and -1
  No swap needed
  Compare -1 and -81
  Swap -1 and -81
  List after swap: [-83, -79, -44, -81, -1, 21, 67, 93]

Pass 5:
  Compare -83 and -79
  No swap needed
  Compare -79 and -44
  No swap needed
  Compare -44 and -81
  Swap -44 and -81
  List after swap: [-83, -79, -81, -44, -1, 21, 67, 93]

Pass 6:
  Compare -83 and -79
  No swap needed
  Compare -79 and -81
  Swap -79 and -81
  List after swap: [-83, -81, -79, -44, -1, 21, 67, 93]

Pass 7:
  Compare -83 and -81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -81, -79, -44, -1, 21, 67, 93]
</think>

<response>-83, -81, -79, -44, -1, 21, 67, 93</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -27, 32, -43, -68, 85.

output:
<think>
Initial list: [-27, 32, -43, -68, 85]

Pass 1:
  Compare -27 and 32
  No swap needed
  Compare 32 and -43
  Swap 32 and -43
  List after swap: [-27, -43, 32, -68, 85]
  Compare 32 and -68
  Swap 32 and -68
  List after swap: [-27, -43, -68, 32, 85]
  Compare 32 and 85
  No swap needed

Pass 2:
  Compare -27 and -43
  Swap -27 and -43
  List after swap: [-43, -27, -68, 32, 85]
  Compare -27 and -68
  Swap -27 and -68
  List after swap: [-43, -68, -27, 32, 85]
  Compare -27 and 32
  No swap needed

Pass 3:
  Compare -43 and -68
  Swap -43 and -68
  List after swap: [-68, -43, -27, 32, 85]
  Compare -43 and -27
  No swap needed

Pass 4:
  Compare -68 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -43, -27, 32, 85]
</think>

<response>-68, -43, -27, 32, 85</response>


input: Sort these integers 86, -96 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [86, -96]

Pass 1:
  Compare 86 and -96
  Swap 86 and -96
  List after swap: [-96, 86]

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

Final sorted list: [-96, 86]
</think>

<response>-96, 86</response>


input: Execute bubble sort to sort 76, -46, -86, 32, 2 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [76, -46, -86, 32, 2]

Pass 1:
  Compare 76 and -46
  Swap 76 and -46
  List after swap: [-46, 76, -86, 32, 2]
  Compare 76 and -86
  Swap 76 and -86
  List after swap: [-46, -86, 76, 32, 2]
  Compare 76 and 32
  Swap 76 and 32
  List after swap: [-46, -86, 32, 76, 2]
  Compare 76 and 2
  Swap 76 and 2
  List after swap: [-46, -86, 32, 2, 76]

Pass 2:
  Compare -46 and -86
  Swap -46 and -86
  List after swap: [-86, -46, 32, 2, 76]
  Compare -46 and 32
  No swap needed
  Compare 32 and 2
  Swap 32 and 2
  List after swap: [-86, -46, 2, 32, 76]

Pass 3:
  Compare -86 and -46
  No swap needed
  Compare -46 and 2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -46, 2, 32, 76]
</think>

<response>-86, -46, 2, 32, 76</response>


input: Perform a bubble sort on the integers 28, -72, 53, 49, 16, -97, 39, 40, 22, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [28, -72, 53, 49, 16, -97, 39, 40, 22]

Pass 1:
  Compare 28 and -72
  Swap 28 and -72
  List after swap: [-72, 28, 53, 49, 16, -97, 39, 40, 22]
  Compare 28 and 53
  No swap needed
  Compare 53 and 49
  Swap 53 and 49
  List after swap: [-72, 28, 49, 53, 16, -97, 39, 40, 22]
  Compare 53 and 16
  Swap 53 and 16
  List after swap: [-72, 28, 49, 16, 53, -97, 39, 40, 22]
  Compare 53 and -97
  Swap 53 and -97
  List after swap: [-72, 28, 49, 16, -97, 53, 39, 40, 22]
  Compare 53 and 39
  Swap 53 and 39
  List after swap: [-72, 28, 49, 16, -97, 39, 53, 40, 22]
  Compare 53 and 40
  Swap 53 and 40
  List after swap: [-72, 28, 49, 16, -97, 39, 40, 53, 22]
  Compare 53 and 22
  Swap 53 and 22
  List after swap: [-72, 28, 49, 16, -97, 39, 40, 22, 53]

Pass 2:
  Compare -72 and 28
  No swap needed
  Compare 28 and 49
  No swap needed
  Compare 49 and 16
  Swap 49 and 16
  List after swap: [-72, 28, 16, 49, -97, 39, 40, 22, 53]
  Compare 49 and -97
  Swap 49 and -97
  List after swap: [-72, 28, 16, -97, 49, 39, 40, 22, 53]
  Compare 49 and 39
  Swap 49 and 39
  List after swap: [-72, 28, 16, -97, 39, 49, 40, 22, 53]
  Compare 49 and 40
  Swap 49 and 40
  List after swap: [-72, 28, 16, -97, 39, 40, 49, 22, 53]
  Compare 49 and 22
  Swap 49 and 22
  List after swap: [-72, 28, 16, -97, 39, 40, 22, 49, 53]

Pass 3:
  Compare -72 and 28
  No swap needed
  Compare 28 and 16
  Swap 28 and 16
  List after swap: [-72, 16, 28, -97, 39, 40, 22, 49, 53]
  Compare 28 and -97
  Swap 28 and -97
  List after swap: [-72, 16, -97, 28, 39, 40, 22, 49, 53]
  Compare 28 and 39
  No swap needed
  Compare 39 and 40
  No swap needed
  Compare 40 and 22
  Swap 40 and 22
  List after swap: [-72, 16, -97, 28, 39, 22, 40, 49, 53]

Pass 4:
  Compare -72 and 16
  No swap needed
  Compare 16 and -97
  Swap 16 and -97
  List after swap: [-72, -97, 16, 28, 39, 22, 40, 49, 53]
  Compare 16 and 28
  No swap needed
  Compare 28 and 39
  No swap needed
  Compare 39 and 22
  Swap 39 and 22
  List after swap: [-72, -97, 16, 28, 22, 39, 40, 49, 53]

Pass 5:
  Compare -72 and -97
  Swap -72 and -97
  List after swap: [-97, -72, 16, 28, 22, 39, 40, 49, 53]
  Compare -72 and 16
  No swap needed
  Compare 16 and 28
  No swap needed
  Compare 28 and 22
  Swap 28 and 22
  List after swap: [-97, -72, 16, 22, 28, 39, 40, 49, 53]

Pass 6:
  Compare -97 and -72
  No swap needed
  Compare -72 and 16
  No swap needed
  Compare 16 and 22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -72, 16, 22, 28, 39, 40, 49, 53]
</think>

<response>-97, -72, 16, 22, 28, 39, 40, 49, 53</response>


input: Perform a bubble sort on the integers -28, 87, 89, 80, 55, 49, -39, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-28, 87, 89, 80, 55, 49, -39]

Pass 1:
  Compare -28 and 87
  No swap needed
  Compare 87 and 89
  No swap needed
  Compare 89 and 80
  Swap 89 and 80
  List after swap: [-28, 87, 80, 89, 55, 49, -39]
  Compare 89 and 55
  Swap 89 and 55
  List after swap: [-28, 87, 80, 55, 89, 49, -39]
  Compare 89 and 49
  Swap 89 and 49
  List after swap: [-28, 87, 80, 55, 49, 89, -39]
  Compare 89 and -39
  Swap 89 and -39
  List after swap: [-28, 87, 80, 55, 49, -39, 89]

Pass 2:
  Compare -28 and 87
  No swap needed
  Compare 87 and 80
  Swap 87 and 80
  List after swap: [-28, 80, 87, 55, 49, -39, 89]
  Compare 87 and 55
  Swap 87 and 55
  List after swap: [-28, 80, 55, 87, 49, -39, 89]
  Compare 87 and 49
  Swap 87 and 49
  List after swap: [-28, 80, 55, 49, 87, -39, 89]
  Compare 87 and -39
  Swap 87 and -39
  List after swap: [-28, 80, 55, 49, -39, 87, 89]

Pass 3:
  Compare -28 and 80
  No swap needed
  Compare 80 and 55
  Swap 80 and 55
  List after swap: [-28, 55, 80, 49, -39, 87, 89]
  Compare 80 and 49
  Swap 80 and 49
  List after swap: [-28, 55, 49, 80, -39, 87, 89]
  Compare 80 and -39
  Swap 80 and -39
  List after swap: [-28, 55, 49, -39, 80, 87, 89]

Pass 4:
  Compare -28 and 55
  No swap needed
  Compare 55 and 49
  Swap 55 and 49
  List after swap: [-28, 49, 55, -39, 80, 87, 89]
  Compare 55 and -39
  Swap 55 and -39
  List after swap: [-28, 49, -39, 55, 80, 87, 89]

Pass 5:
  Compare -28 and 49
  No swap needed
  Compare 49 and -39
  Swap 49 and -39
  List after swap: [-28, -39, 49, 55, 80, 87, 89]

Pass 6:
  Compare -28 and -39
  Swap -28 and -39
  List after swap: [-39, -28, 49, 55, 80, 87, 89]

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

Final sorted list: [-39, -28, 49, 55, 80, 87, 89]
</think>

<response>-39, -28, 49, 55, 80, 87, 89</response>


input: Demonstrate how bubble sort orders the integers 42, 59, -93, 75 in ascending sequence, showing all steps.

output:
<think>
Initial list: [42, 59, -93, 75]

Pass 1:
  Compare 42 and 59
  No swap needed
  Compare 59 and -93
  Swap 59 and -93
  List after swap: [42, -93, 59, 75]
  Compare 59 and 75
  No swap needed

Pass 2:
  Compare 42 and -93
  Swap 42 and -93
  List after swap: [-93, 42, 59, 75]
  Compare 42 and 59
  No swap needed

Pass 3:
  Compare -93 and 42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, 42, 59, 75]
</think>

<response>-93, 42, 59, 75</response>


input: Sort the list 46, 41, -7, 12, -26, 27, 13, -78 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [46, 41, -7, 12, -26, 27, 13, -78]

Pass 1:
  Compare 46 and 41
  Swap 46 and 41
  List after swap: [41, 46, -7, 12, -26, 27, 13, -78]
  Compare 46 and -7
  Swap 46 and -7
  List after swap: [41, -7, 46, 12, -26, 27, 13, -78]
  Compare 46 and 12
  Swap 46 and 12
  List after swap: [41, -7, 12, 46, -26, 27, 13, -78]
  Compare 46 and -26
  Swap 46 and -26
  List after swap: [41, -7, 12, -26, 46, 27, 13, -78]
  Compare 46 and 27
  Swap 46 and 27
  List after swap: [41, -7, 12, -26, 27, 46, 13, -78]
  Compare 46 and 13
  Swap 46 and 13
  List after swap: [41, -7, 12, -26, 27, 13, 46, -78]
  Compare 46 and -78
  Swap 46 and -78
  List after swap: [41, -7, 12, -26, 27, 13, -78, 46]

Pass 2:
  Compare 41 and -7
  Swap 41 and -7
  List after swap: [-7, 41, 12, -26, 27, 13, -78, 46]
  Compare 41 and 12
  Swap 41 and 12
  List after swap: [-7, 12, 41, -26, 27, 13, -78, 46]
  Compare 41 and -26
  Swap 41 and -26
  List after swap: [-7, 12, -26, 41, 27, 13, -78, 46]
  Compare 41 and 27
  Swap 41 and 27
  List after swap: [-7, 12, -26, 27, 41, 13, -78, 46]
  Compare 41 and 13
  Swap 41 and 13
  List after swap: [-7, 12, -26, 27, 13, 41, -78, 46]
  Compare 41 and -78
  Swap 41 and -78
  List after swap: [-7, 12, -26, 27, 13, -78, 41, 46]

Pass 3:
  Compare -7 and 12
  No swap needed
  Compare 12 and -26
  Swap 12 and -26
  List after swap: [-7, -26, 12, 27, 13, -78, 41, 46]
  Compare 12 and 27
  No swap needed
  Compare 27 and 13
  Swap 27 and 13
  List after swap: [-7, -26, 12, 13, 27, -78, 41, 46]
  Compare 27 and -78
  Swap 27 and -78
  List after swap: [-7, -26, 12, 13, -78, 27, 41, 46]

Pass 4:
  Compare -7 and -26
  Swap -7 and -26
  List after swap: [-26, -7, 12, 13, -78, 27, 41, 46]
  Compare -7 and 12
  No swap needed
  Compare 12 and 13
  No swap needed
  Compare 13 and -78
  Swap 13 and -78
  List after swap: [-26, -7, 12, -78, 13, 27, 41, 46]

Pass 5:
  Compare -26 and -7
  No swap needed
  Compare -7 and 12
  No swap needed
  Compare 12 and -78
  Swap 12 and -78
  List after swap: [-26, -7, -78, 12, 13, 27, 41, 46]

Pass 6:
  Compare -26 and -7
  No swap needed
  Compare -7 and -78
  Swap -7 and -78
  List after swap: [-26, -78, -7, 12, 13, 27, 41, 46]

Pass 7:
  Compare -26 and -78
  Swap -26 and -78
  List after swap: [-78, -26, -7, 12, 13, 27, 41, 46]

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

Final sorted list: [-78, -26, -7, 12, 13, 27, 41, 46]
</think>

<response>-78, -26, -7, 12, 13, 27, 41, 46</response>


input: Using the bubble sort method, sort 32, 59, 75, 78, -60, 68 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [32, 59, 75, 78, -60, 68]

Pass 1:
  Compare 32 and 59
  No swap needed
  Compare 59 and 75
  No swap needed
  Compare 75 and 78
  No swap needed
  Compare 78 and -60
  Swap 78 and -60
  List after swap: [32, 59, 75, -60, 78, 68]
  Compare 78 and 68
  Swap 78 and 68
  List after swap: [32, 59, 75, -60, 68, 78]

Pass 2:
  Compare 32 and 59
  No swap needed
  Compare 59 and 75
  No swap needed
  Compare 75 and -60
  Swap 75 and -60
  List after swap: [32, 59, -60, 75, 68, 78]
  Compare 75 and 68
  Swap 75 and 68
  List after swap: [32, 59, -60, 68, 75, 78]

Pass 3:
  Compare 32 and 59
  No swap needed
  Compare 59 and -60
  Swap 59 and -60
  List after swap: [32, -60, 59, 68, 75, 78]
  Compare 59 and 68
  No swap needed

Pass 4:
  Compare 32 and -60
  Swap 32 and -60
  List after swap: [-60, 32, 59, 68, 75, 78]
  Compare 32 and 59
  No swap needed

Pass 5:
  Compare -60 and 32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, 32, 59, 68, 75, 78]
</think>

<response>-60, 32, 59, 68, 75, 78</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 90, 14, -6.

output:
<think>
Initial list: [90, 14, -6]

Pass 1:
  Compare 90 and 14
  Swap 90 and 14
  List after swap: [14, 90, -6]
  Compare 90 and -6
  Swap 90 and -6
  List after swap: [14, -6, 90]

Pass 2:
  Compare 14 and -6
  Swap 14 and -6
  List after swap: [-6, 14, 90]

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

Final sorted list: [-6, 14, 90]
</think>

<response>-6, 14, 90</response>