input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 36, 37, 48, 78, 55, -35, -37, -99, 26, -88.

output:
<think>
Initial list: [36, 37, 48, 78, 55, -35, -37, -99, 26, -88]

Pass 1:
  Compare 36 and 37
  No swap needed
  Compare 37 and 48
  No swap needed
  Compare 48 and 78
  No swap needed
  Compare 78 and 55
  Swap 78 and 55
  List after swap: [36, 37, 48, 55, 78, -35, -37, -99, 26, -88]
  Compare 78 and -35
  Swap 78 and -35
  List after swap: [36, 37, 48, 55, -35, 78, -37, -99, 26, -88]
  Compare 78 and -37
  Swap 78 and -37
  List after swap: [36, 37, 48, 55, -35, -37, 78, -99, 26, -88]
  Compare 78 and -99
  Swap 78 and -99
  List after swap: [36, 37, 48, 55, -35, -37, -99, 78, 26, -88]
  Compare 78 and 26
  Swap 78 and 26
  List after swap: [36, 37, 48, 55, -35, -37, -99, 26, 78, -88]
  Compare 78 and -88
  Swap 78 and -88
  List after swap: [36, 37, 48, 55, -35, -37, -99, 26, -88, 78]

Pass 2:
  Compare 36 and 37
  No swap needed
  Compare 37 and 48
  No swap needed
  Compare 48 and 55
  No swap needed
  Compare 55 and -35
  Swap 55 and -35
  List after swap: [36, 37, 48, -35, 55, -37, -99, 26, -88, 78]
  Compare 55 and -37
  Swap 55 and -37
  List after swap: [36, 37, 48, -35, -37, 55, -99, 26, -88, 78]
  Compare 55 and -99
  Swap 55 and -99
  List after swap: [36, 37, 48, -35, -37, -99, 55, 26, -88, 78]
  Compare 55 and 26
  Swap 55 and 26
  List after swap: [36, 37, 48, -35, -37, -99, 26, 55, -88, 78]
  Compare 55 and -88
  Swap 55 and -88
  List after swap: [36, 37, 48, -35, -37, -99, 26, -88, 55, 78]

Pass 3:
  Compare 36 and 37
  No swap needed
  Compare 37 and 48
  No swap needed
  Compare 48 and -35
  Swap 48 and -35
  List after swap: [36, 37, -35, 48, -37, -99, 26, -88, 55, 78]
  Compare 48 and -37
  Swap 48 and -37
  List after swap: [36, 37, -35, -37, 48, -99, 26, -88, 55, 78]
  Compare 48 and -99
  Swap 48 and -99
  List after swap: [36, 37, -35, -37, -99, 48, 26, -88, 55, 78]
  Compare 48 and 26
  Swap 48 and 26
  List after swap: [36, 37, -35, -37, -99, 26, 48, -88, 55, 78]
  Compare 48 and -88
  Swap 48 and -88
  List after swap: [36, 37, -35, -37, -99, 26, -88, 48, 55, 78]

Pass 4:
  Compare 36 and 37
  No swap needed
  Compare 37 and -35
  Swap 37 and -35
  List after swap: [36, -35, 37, -37, -99, 26, -88, 48, 55, 78]
  Compare 37 and -37
  Swap 37 and -37
  List after swap: [36, -35, -37, 37, -99, 26, -88, 48, 55, 78]
  Compare 37 and -99
  Swap 37 and -99
  List after swap: [36, -35, -37, -99, 37, 26, -88, 48, 55, 78]
  Compare 37 and 26
  Swap 37 and 26
  List after swap: [36, -35, -37, -99, 26, 37, -88, 48, 55, 78]
  Compare 37 and -88
  Swap 37 and -88
  List after swap: [36, -35, -37, -99, 26, -88, 37, 48, 55, 78]

Pass 5:
  Compare 36 and -35
  Swap 36 and -35
  List after swap: [-35, 36, -37, -99, 26, -88, 37, 48, 55, 78]
  Compare 36 and -37
  Swap 36 and -37
  List after swap: [-35, -37, 36, -99, 26, -88, 37, 48, 55, 78]
  Compare 36 and -99
  Swap 36 and -99
  List after swap: [-35, -37, -99, 36, 26, -88, 37, 48, 55, 78]
  Compare 36 and 26
  Swap 36 and 26
  List after swap: [-35, -37, -99, 26, 36, -88, 37, 48, 55, 78]
  Compare 36 and -88
  Swap 36 and -88
  List after swap: [-35, -37, -99, 26, -88, 36, 37, 48, 55, 78]

Pass 6:
  Compare -35 and -37
  Swap -35 and -37
  List after swap: [-37, -35, -99, 26, -88, 36, 37, 48, 55, 78]
  Compare -35 and -99
  Swap -35 and -99
  List after swap: [-37, -99, -35, 26, -88, 36, 37, 48, 55, 78]
  Compare -35 and 26
  No swap needed
  Compare 26 and -88
  Swap 26 and -88
  List after swap: [-37, -99, -35, -88, 26, 36, 37, 48, 55, 78]

Pass 7:
  Compare -37 and -99
  Swap -37 and -99
  List after swap: [-99, -37, -35, -88, 26, 36, 37, 48, 55, 78]
  Compare -37 and -35
  No swap needed
  Compare -35 and -88
  Swap -35 and -88
  List after swap: [-99, -37, -88, -35, 26, 36, 37, 48, 55, 78]

Pass 8:
  Compare -99 and -37
  No swap needed
  Compare -37 and -88
  Swap -37 and -88
  List after swap: [-99, -88, -37, -35, 26, 36, 37, 48, 55, 78]

Pass 9:
  Compare -99 and -88
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -88, -37, -35, 26, 36, 37, 48, 55, 78]
</think>

<response>-99, -88, -37, -35, 26, 36, 37, 48, 55, 78</response>


input: Use the bubble sort technique to reorder 55, 79, 58 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [55, 79, 58]

Pass 1:
  Compare 55 and 79
  No swap needed
  Compare 79 and 58
  Swap 79 and 58
  List after swap: [55, 58, 79]

Pass 2:
  Compare 55 and 58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [55, 58, 79]
</think>

<response>55, 58, 79</response>


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

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

Pass 1:
  Compare 18 and -90
  Swap 18 and -90
  List after swap: [-90, 18]

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

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

<response>-90, 18</response>


input: Execute bubble sort to sort -100, -86, 41, 62, -64, -12, -75, -67, 97 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-100, -86, 41, 62, -64, -12, -75, -67, 97]

Pass 1:
  Compare -100 and -86
  No swap needed
  Compare -86 and 41
  No swap needed
  Compare 41 and 62
  No swap needed
  Compare 62 and -64
  Swap 62 and -64
  List after swap: [-100, -86, 41, -64, 62, -12, -75, -67, 97]
  Compare 62 and -12
  Swap 62 and -12
  List after swap: [-100, -86, 41, -64, -12, 62, -75, -67, 97]
  Compare 62 and -75
  Swap 62 and -75
  List after swap: [-100, -86, 41, -64, -12, -75, 62, -67, 97]
  Compare 62 and -67
  Swap 62 and -67
  List after swap: [-100, -86, 41, -64, -12, -75, -67, 62, 97]
  Compare 62 and 97
  No swap needed

Pass 2:
  Compare -100 and -86
  No swap needed
  Compare -86 and 41
  No swap needed
  Compare 41 and -64
  Swap 41 and -64
  List after swap: [-100, -86, -64, 41, -12, -75, -67, 62, 97]
  Compare 41 and -12
  Swap 41 and -12
  List after swap: [-100, -86, -64, -12, 41, -75, -67, 62, 97]
  Compare 41 and -75
  Swap 41 and -75
  List after swap: [-100, -86, -64, -12, -75, 41, -67, 62, 97]
  Compare 41 and -67
  Swap 41 and -67
  List after swap: [-100, -86, -64, -12, -75, -67, 41, 62, 97]
  Compare 41 and 62
  No swap needed

Pass 3:
  Compare -100 and -86
  No swap needed
  Compare -86 and -64
  No swap needed
  Compare -64 and -12
  No swap needed
  Compare -12 and -75
  Swap -12 and -75
  List after swap: [-100, -86, -64, -75, -12, -67, 41, 62, 97]
  Compare -12 and -67
  Swap -12 and -67
  List after swap: [-100, -86, -64, -75, -67, -12, 41, 62, 97]
  Compare -12 and 41
  No swap needed

Pass 4:
  Compare -100 and -86
  No swap needed
  Compare -86 and -64
  No swap needed
  Compare -64 and -75
  Swap -64 and -75
  List after swap: [-100, -86, -75, -64, -67, -12, 41, 62, 97]
  Compare -64 and -67
  Swap -64 and -67
  List after swap: [-100, -86, -75, -67, -64, -12, 41, 62, 97]
  Compare -64 and -12
  No swap needed

Pass 5:
  Compare -100 and -86
  No swap needed
  Compare -86 and -75
  No swap needed
  Compare -75 and -67
  No swap needed
  Compare -67 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -86, -75, -67, -64, -12, 41, 62, 97]
</think>

<response>-100, -86, -75, -67, -64, -12, 41, 62, 97</response>


input: Execute bubble sort to sort -37, -70, -73, 47, 45, -61, 0, 55 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-37, -70, -73, 47, 45, -61, 0, 55]

Pass 1:
  Compare -37 and -70
  Swap -37 and -70
  List after swap: [-70, -37, -73, 47, 45, -61, 0, 55]
  Compare -37 and -73
  Swap -37 and -73
  List after swap: [-70, -73, -37, 47, 45, -61, 0, 55]
  Compare -37 and 47
  No swap needed
  Compare 47 and 45
  Swap 47 and 45
  List after swap: [-70, -73, -37, 45, 47, -61, 0, 55]
  Compare 47 and -61
  Swap 47 and -61
  List after swap: [-70, -73, -37, 45, -61, 47, 0, 55]
  Compare 47 and 0
  Swap 47 and 0
  List after swap: [-70, -73, -37, 45, -61, 0, 47, 55]
  Compare 47 and 55
  No swap needed

Pass 2:
  Compare -70 and -73
  Swap -70 and -73
  List after swap: [-73, -70, -37, 45, -61, 0, 47, 55]
  Compare -70 and -37
  No swap needed
  Compare -37 and 45
  No swap needed
  Compare 45 and -61
  Swap 45 and -61
  List after swap: [-73, -70, -37, -61, 45, 0, 47, 55]
  Compare 45 and 0
  Swap 45 and 0
  List after swap: [-73, -70, -37, -61, 0, 45, 47, 55]
  Compare 45 and 47
  No swap needed

Pass 3:
  Compare -73 and -70
  No swap needed
  Compare -70 and -37
  No swap needed
  Compare -37 and -61
  Swap -37 and -61
  List after swap: [-73, -70, -61, -37, 0, 45, 47, 55]
  Compare -37 and 0
  No swap needed
  Compare 0 and 45
  No swap needed

Pass 4:
  Compare -73 and -70
  No swap needed
  Compare -70 and -61
  No swap needed
  Compare -61 and -37
  No swap needed
  Compare -37 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -70, -61, -37, 0, 45, 47, 55]
</think>

<response>-73, -70, -61, -37, 0, 45, 47, 55</response>


input: Sort the list 53, 52 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [53, 52]

Pass 1:
  Compare 53 and 52
  Swap 53 and 52
  List after swap: [52, 53]

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

Final sorted list: [52, 53]
</think>

<response>52, 53</response>


input: Sort the list 94, -72, -77, -90, 6, 14, 73, -2 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [94, -72, -77, -90, 6, 14, 73, -2]

Pass 1:
  Compare 94 and -72
  Swap 94 and -72
  List after swap: [-72, 94, -77, -90, 6, 14, 73, -2]
  Compare 94 and -77
  Swap 94 and -77
  List after swap: [-72, -77, 94, -90, 6, 14, 73, -2]
  Compare 94 and -90
  Swap 94 and -90
  List after swap: [-72, -77, -90, 94, 6, 14, 73, -2]
  Compare 94 and 6
  Swap 94 and 6
  List after swap: [-72, -77, -90, 6, 94, 14, 73, -2]
  Compare 94 and 14
  Swap 94 and 14
  List after swap: [-72, -77, -90, 6, 14, 94, 73, -2]
  Compare 94 and 73
  Swap 94 and 73
  List after swap: [-72, -77, -90, 6, 14, 73, 94, -2]
  Compare 94 and -2
  Swap 94 and -2
  List after swap: [-72, -77, -90, 6, 14, 73, -2, 94]

Pass 2:
  Compare -72 and -77
  Swap -72 and -77
  List after swap: [-77, -72, -90, 6, 14, 73, -2, 94]
  Compare -72 and -90
  Swap -72 and -90
  List after swap: [-77, -90, -72, 6, 14, 73, -2, 94]
  Compare -72 and 6
  No swap needed
  Compare 6 and 14
  No swap needed
  Compare 14 and 73
  No swap needed
  Compare 73 and -2
  Swap 73 and -2
  List after swap: [-77, -90, -72, 6, 14, -2, 73, 94]

Pass 3:
  Compare -77 and -90
  Swap -77 and -90
  List after swap: [-90, -77, -72, 6, 14, -2, 73, 94]
  Compare -77 and -72
  No swap needed
  Compare -72 and 6
  No swap needed
  Compare 6 and 14
  No swap needed
  Compare 14 and -2
  Swap 14 and -2
  List after swap: [-90, -77, -72, 6, -2, 14, 73, 94]

Pass 4:
  Compare -90 and -77
  No swap needed
  Compare -77 and -72
  No swap needed
  Compare -72 and 6
  No swap needed
  Compare 6 and -2
  Swap 6 and -2
  List after swap: [-90, -77, -72, -2, 6, 14, 73, 94]

Pass 5:
  Compare -90 and -77
  No swap needed
  Compare -77 and -72
  No swap needed
  Compare -72 and -2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -77, -72, -2, 6, 14, 73, 94]
</think>

<response>-90, -77, -72, -2, 6, 14, 73, 94</response>


input: Execute bubble sort to sort 66, 62, 69, 84 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [66, 62, 69, 84]

Pass 1:
  Compare 66 and 62
  Swap 66 and 62
  List after swap: [62, 66, 69, 84]
  Compare 66 and 69
  No swap needed
  Compare 69 and 84
  No swap needed

Pass 2:
  Compare 62 and 66
  No swap needed
  Compare 66 and 69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [62, 66, 69, 84]
</think>

<response>62, 66, 69, 84</response>


input: Sort the list -61, -81, 11, 35, -38 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-61, -81, 11, 35, -38]

Pass 1:
  Compare -61 and -81
  Swap -61 and -81
  List after swap: [-81, -61, 11, 35, -38]
  Compare -61 and 11
  No swap needed
  Compare 11 and 35
  No swap needed
  Compare 35 and -38
  Swap 35 and -38
  List after swap: [-81, -61, 11, -38, 35]

Pass 2:
  Compare -81 and -61
  No swap needed
  Compare -61 and 11
  No swap needed
  Compare 11 and -38
  Swap 11 and -38
  List after swap: [-81, -61, -38, 11, 35]

Pass 3:
  Compare -81 and -61
  No swap needed
  Compare -61 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -61, -38, 11, 35]
</think>

<response>-81, -61, -38, 11, 35</response>


input: Arrange the numbers -10, -15, 42 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-10, -15, 42]

Pass 1:
  Compare -10 and -15
  Swap -10 and -15
  List after swap: [-15, -10, 42]
  Compare -10 and 42
  No swap needed

Pass 2:
  Compare -15 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-15, -10, 42]
</think>

<response>-15, -10, 42</response>


input: Implement bubble sort on 77, 39, 10 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [77, 39, 10]

Pass 1:
  Compare 77 and 39
  Swap 77 and 39
  List after swap: [39, 77, 10]
  Compare 77 and 10
  Swap 77 and 10
  List after swap: [39, 10, 77]

Pass 2:
  Compare 39 and 10
  Swap 39 and 10
  List after swap: [10, 39, 77]

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

Final sorted list: [10, 39, 77]
</think>

<response>10, 39, 77</response>


input: Implement bubble sort on -39, 25, -28, -57 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-39, 25, -28, -57]

Pass 1:
  Compare -39 and 25
  No swap needed
  Compare 25 and -28
  Swap 25 and -28
  List after swap: [-39, -28, 25, -57]
  Compare 25 and -57
  Swap 25 and -57
  List after swap: [-39, -28, -57, 25]

Pass 2:
  Compare -39 and -28
  No swap needed
  Compare -28 and -57
  Swap -28 and -57
  List after swap: [-39, -57, -28, 25]

Pass 3:
  Compare -39 and -57
  Swap -39 and -57
  List after swap: [-57, -39, -28, 25]

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

Final sorted list: [-57, -39, -28, 25]
</think>

<response>-57, -39, -28, 25</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -53, 97, -97, 73, 47, -19.

output:
<think>
Initial list: [-53, 97, -97, 73, 47, -19]

Pass 1:
  Compare -53 and 97
  No swap needed
  Compare 97 and -97
  Swap 97 and -97
  List after swap: [-53, -97, 97, 73, 47, -19]
  Compare 97 and 73
  Swap 97 and 73
  List after swap: [-53, -97, 73, 97, 47, -19]
  Compare 97 and 47
  Swap 97 and 47
  List after swap: [-53, -97, 73, 47, 97, -19]
  Compare 97 and -19
  Swap 97 and -19
  List after swap: [-53, -97, 73, 47, -19, 97]

Pass 2:
  Compare -53 and -97
  Swap -53 and -97
  List after swap: [-97, -53, 73, 47, -19, 97]
  Compare -53 and 73
  No swap needed
  Compare 73 and 47
  Swap 73 and 47
  List after swap: [-97, -53, 47, 73, -19, 97]
  Compare 73 and -19
  Swap 73 and -19
  List after swap: [-97, -53, 47, -19, 73, 97]

Pass 3:
  Compare -97 and -53
  No swap needed
  Compare -53 and 47
  No swap needed
  Compare 47 and -19
  Swap 47 and -19
  List after swap: [-97, -53, -19, 47, 73, 97]

Pass 4:
  Compare -97 and -53
  No swap needed
  Compare -53 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -53, -19, 47, 73, 97]
</think>

<response>-97, -53, -19, 47, 73, 97</response>


input: Demonstrate how bubble sort orders the integers -11, 17, -3, 6 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-11, 17, -3, 6]

Pass 1:
  Compare -11 and 17
  No swap needed
  Compare 17 and -3
  Swap 17 and -3
  List after swap: [-11, -3, 17, 6]
  Compare 17 and 6
  Swap 17 and 6
  List after swap: [-11, -3, 6, 17]

Pass 2:
  Compare -11 and -3
  No swap needed
  Compare -3 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-11, -3, 6, 17]
</think>

<response>-11, -3, 6, 17</response>


input: Carry out the bubble sort algorithm on -70, -33, -51, -36, -90, 28, -69 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-70, -33, -51, -36, -90, 28, -69]

Pass 1:
  Compare -70 and -33
  No swap needed
  Compare -33 and -51
  Swap -33 and -51
  List after swap: [-70, -51, -33, -36, -90, 28, -69]
  Compare -33 and -36
  Swap -33 and -36
  List after swap: [-70, -51, -36, -33, -90, 28, -69]
  Compare -33 and -90
  Swap -33 and -90
  List after swap: [-70, -51, -36, -90, -33, 28, -69]
  Compare -33 and 28
  No swap needed
  Compare 28 and -69
  Swap 28 and -69
  List after swap: [-70, -51, -36, -90, -33, -69, 28]

Pass 2:
  Compare -70 and -51
  No swap needed
  Compare -51 and -36
  No swap needed
  Compare -36 and -90
  Swap -36 and -90
  List after swap: [-70, -51, -90, -36, -33, -69, 28]
  Compare -36 and -33
  No swap needed
  Compare -33 and -69
  Swap -33 and -69
  List after swap: [-70, -51, -90, -36, -69, -33, 28]

Pass 3:
  Compare -70 and -51
  No swap needed
  Compare -51 and -90
  Swap -51 and -90
  List after swap: [-70, -90, -51, -36, -69, -33, 28]
  Compare -51 and -36
  No swap needed
  Compare -36 and -69
  Swap -36 and -69
  List after swap: [-70, -90, -51, -69, -36, -33, 28]

Pass 4:
  Compare -70 and -90
  Swap -70 and -90
  List after swap: [-90, -70, -51, -69, -36, -33, 28]
  Compare -70 and -51
  No swap needed
  Compare -51 and -69
  Swap -51 and -69
  List after swap: [-90, -70, -69, -51, -36, -33, 28]

Pass 5:
  Compare -90 and -70
  No swap needed
  Compare -70 and -69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -70, -69, -51, -36, -33, 28]
</think>

<response>-90, -70, -69, -51, -36, -33, 28</response>


input: Arrange the numbers 12, 68, -65, -44, 71, 13, 81, 76 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [12, 68, -65, -44, 71, 13, 81, 76]

Pass 1:
  Compare 12 and 68
  No swap needed
  Compare 68 and -65
  Swap 68 and -65
  List after swap: [12, -65, 68, -44, 71, 13, 81, 76]
  Compare 68 and -44
  Swap 68 and -44
  List after swap: [12, -65, -44, 68, 71, 13, 81, 76]
  Compare 68 and 71
  No swap needed
  Compare 71 and 13
  Swap 71 and 13
  List after swap: [12, -65, -44, 68, 13, 71, 81, 76]
  Compare 71 and 81
  No swap needed
  Compare 81 and 76
  Swap 81 and 76
  List after swap: [12, -65, -44, 68, 13, 71, 76, 81]

Pass 2:
  Compare 12 and -65
  Swap 12 and -65
  List after swap: [-65, 12, -44, 68, 13, 71, 76, 81]
  Compare 12 and -44
  Swap 12 and -44
  List after swap: [-65, -44, 12, 68, 13, 71, 76, 81]
  Compare 12 and 68
  No swap needed
  Compare 68 and 13
  Swap 68 and 13
  List after swap: [-65, -44, 12, 13, 68, 71, 76, 81]
  Compare 68 and 71
  No swap needed
  Compare 71 and 76
  No swap needed

Pass 3:
  Compare -65 and -44
  No swap needed
  Compare -44 and 12
  No swap needed
  Compare 12 and 13
  No swap needed
  Compare 13 and 68
  No swap needed
  Compare 68 and 71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -44, 12, 13, 68, 71, 76, 81]
</think>

<response>-65, -44, 12, 13, 68, 71, 76, 81</response>


input: Carry out the bubble sort algorithm on -42, 13, 24, 96, -23 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-42, 13, 24, 96, -23]

Pass 1:
  Compare -42 and 13
  No swap needed
  Compare 13 and 24
  No swap needed
  Compare 24 and 96
  No swap needed
  Compare 96 and -23
  Swap 96 and -23
  List after swap: [-42, 13, 24, -23, 96]

Pass 2:
  Compare -42 and 13
  No swap needed
  Compare 13 and 24
  No swap needed
  Compare 24 and -23
  Swap 24 and -23
  List after swap: [-42, 13, -23, 24, 96]

Pass 3:
  Compare -42 and 13
  No swap needed
  Compare 13 and -23
  Swap 13 and -23
  List after swap: [-42, -23, 13, 24, 96]

Pass 4:
  Compare -42 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-42, -23, 13, 24, 96]
</think>

<response>-42, -23, 13, 24, 96</response>


input: Execute bubble sort to sort -52, 81 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-52, 81]

Pass 1:
  Compare -52 and 81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, 81]
</think>

<response>-52, 81</response>


input: Arrange the numbers 79, 53, 17, 64, -13, 42, -78, -6 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [79, 53, 17, 64, -13, 42, -78, -6]

Pass 1:
  Compare 79 and 53
  Swap 79 and 53
  List after swap: [53, 79, 17, 64, -13, 42, -78, -6]
  Compare 79 and 17
  Swap 79 and 17
  List after swap: [53, 17, 79, 64, -13, 42, -78, -6]
  Compare 79 and 64
  Swap 79 and 64
  List after swap: [53, 17, 64, 79, -13, 42, -78, -6]
  Compare 79 and -13
  Swap 79 and -13
  List after swap: [53, 17, 64, -13, 79, 42, -78, -6]
  Compare 79 and 42
  Swap 79 and 42
  List after swap: [53, 17, 64, -13, 42, 79, -78, -6]
  Compare 79 and -78
  Swap 79 and -78
  List after swap: [53, 17, 64, -13, 42, -78, 79, -6]
  Compare 79 and -6
  Swap 79 and -6
  List after swap: [53, 17, 64, -13, 42, -78, -6, 79]

Pass 2:
  Compare 53 and 17
  Swap 53 and 17
  List after swap: [17, 53, 64, -13, 42, -78, -6, 79]
  Compare 53 and 64
  No swap needed
  Compare 64 and -13
  Swap 64 and -13
  List after swap: [17, 53, -13, 64, 42, -78, -6, 79]
  Compare 64 and 42
  Swap 64 and 42
  List after swap: [17, 53, -13, 42, 64, -78, -6, 79]
  Compare 64 and -78
  Swap 64 and -78
  List after swap: [17, 53, -13, 42, -78, 64, -6, 79]
  Compare 64 and -6
  Swap 64 and -6
  List after swap: [17, 53, -13, 42, -78, -6, 64, 79]

Pass 3:
  Compare 17 and 53
  No swap needed
  Compare 53 and -13
  Swap 53 and -13
  List after swap: [17, -13, 53, 42, -78, -6, 64, 79]
  Compare 53 and 42
  Swap 53 and 42
  List after swap: [17, -13, 42, 53, -78, -6, 64, 79]
  Compare 53 and -78
  Swap 53 and -78
  List after swap: [17, -13, 42, -78, 53, -6, 64, 79]
  Compare 53 and -6
  Swap 53 and -6
  List after swap: [17, -13, 42, -78, -6, 53, 64, 79]

Pass 4:
  Compare 17 and -13
  Swap 17 and -13
  List after swap: [-13, 17, 42, -78, -6, 53, 64, 79]
  Compare 17 and 42
  No swap needed
  Compare 42 and -78
  Swap 42 and -78
  List after swap: [-13, 17, -78, 42, -6, 53, 64, 79]
  Compare 42 and -6
  Swap 42 and -6
  List after swap: [-13, 17, -78, -6, 42, 53, 64, 79]

Pass 5:
  Compare -13 and 17
  No swap needed
  Compare 17 and -78
  Swap 17 and -78
  List after swap: [-13, -78, 17, -6, 42, 53, 64, 79]
  Compare 17 and -6
  Swap 17 and -6
  List after swap: [-13, -78, -6, 17, 42, 53, 64, 79]

Pass 6:
  Compare -13 and -78
  Swap -13 and -78
  List after swap: [-78, -13, -6, 17, 42, 53, 64, 79]
  Compare -13 and -6
  No swap needed

Pass 7:
  Compare -78 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -13, -6, 17, 42, 53, 64, 79]
</think>

<response>-78, -13, -6, 17, 42, 53, 64, 79</response>


input: Arrange the numbers -54, -95, 9, 79, -55, 48, 42, 28, -96 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-54, -95, 9, 79, -55, 48, 42, 28, -96]

Pass 1:
  Compare -54 and -95
  Swap -54 and -95
  List after swap: [-95, -54, 9, 79, -55, 48, 42, 28, -96]
  Compare -54 and 9
  No swap needed
  Compare 9 and 79
  No swap needed
  Compare 79 and -55
  Swap 79 and -55
  List after swap: [-95, -54, 9, -55, 79, 48, 42, 28, -96]
  Compare 79 and 48
  Swap 79 and 48
  List after swap: [-95, -54, 9, -55, 48, 79, 42, 28, -96]
  Compare 79 and 42
  Swap 79 and 42
  List after swap: [-95, -54, 9, -55, 48, 42, 79, 28, -96]
  Compare 79 and 28
  Swap 79 and 28
  List after swap: [-95, -54, 9, -55, 48, 42, 28, 79, -96]
  Compare 79 and -96
  Swap 79 and -96
  List after swap: [-95, -54, 9, -55, 48, 42, 28, -96, 79]

Pass 2:
  Compare -95 and -54
  No swap needed
  Compare -54 and 9
  No swap needed
  Compare 9 and -55
  Swap 9 and -55
  List after swap: [-95, -54, -55, 9, 48, 42, 28, -96, 79]
  Compare 9 and 48
  No swap needed
  Compare 48 and 42
  Swap 48 and 42
  List after swap: [-95, -54, -55, 9, 42, 48, 28, -96, 79]
  Compare 48 and 28
  Swap 48 and 28
  List after swap: [-95, -54, -55, 9, 42, 28, 48, -96, 79]
  Compare 48 and -96
  Swap 48 and -96
  List after swap: [-95, -54, -55, 9, 42, 28, -96, 48, 79]

Pass 3:
  Compare -95 and -54
  No swap needed
  Compare -54 and -55
  Swap -54 and -55
  List after swap: [-95, -55, -54, 9, 42, 28, -96, 48, 79]
  Compare -54 and 9
  No swap needed
  Compare 9 and 42
  No swap needed
  Compare 42 and 28
  Swap 42 and 28
  List after swap: [-95, -55, -54, 9, 28, 42, -96, 48, 79]
  Compare 42 and -96
  Swap 42 and -96
  List after swap: [-95, -55, -54, 9, 28, -96, 42, 48, 79]

Pass 4:
  Compare -95 and -55
  No swap needed
  Compare -55 and -54
  No swap needed
  Compare -54 and 9
  No swap needed
  Compare 9 and 28
  No swap needed
  Compare 28 and -96
  Swap 28 and -96
  List after swap: [-95, -55, -54, 9, -96, 28, 42, 48, 79]

Pass 5:
  Compare -95 and -55
  No swap needed
  Compare -55 and -54
  No swap needed
  Compare -54 and 9
  No swap needed
  Compare 9 and -96
  Swap 9 and -96
  List after swap: [-95, -55, -54, -96, 9, 28, 42, 48, 79]

Pass 6:
  Compare -95 and -55
  No swap needed
  Compare -55 and -54
  No swap needed
  Compare -54 and -96
  Swap -54 and -96
  List after swap: [-95, -55, -96, -54, 9, 28, 42, 48, 79]

Pass 7:
  Compare -95 and -55
  No swap needed
  Compare -55 and -96
  Swap -55 and -96
  List after swap: [-95, -96, -55, -54, 9, 28, 42, 48, 79]

Pass 8:
  Compare -95 and -96
  Swap -95 and -96
  List after swap: [-96, -95, -55, -54, 9, 28, 42, 48, 79]

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

Final sorted list: [-96, -95, -55, -54, 9, 28, 42, 48, 79]
</think>

<response>-96, -95, -55, -54, 9, 28, 42, 48, 79</response>


input: Perform a bubble sort on the integers -77, 78, -29, -82, 34, 67, 36, 0, 52, -51, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-77, 78, -29, -82, 34, 67, 36, 0, 52, -51]

Pass 1:
  Compare -77 and 78
  No swap needed
  Compare 78 and -29
  Swap 78 and -29
  List after swap: [-77, -29, 78, -82, 34, 67, 36, 0, 52, -51]
  Compare 78 and -82
  Swap 78 and -82
  List after swap: [-77, -29, -82, 78, 34, 67, 36, 0, 52, -51]
  Compare 78 and 34
  Swap 78 and 34
  List after swap: [-77, -29, -82, 34, 78, 67, 36, 0, 52, -51]
  Compare 78 and 67
  Swap 78 and 67
  List after swap: [-77, -29, -82, 34, 67, 78, 36, 0, 52, -51]
  Compare 78 and 36
  Swap 78 and 36
  List after swap: [-77, -29, -82, 34, 67, 36, 78, 0, 52, -51]
  Compare 78 and 0
  Swap 78 and 0
  List after swap: [-77, -29, -82, 34, 67, 36, 0, 78, 52, -51]
  Compare 78 and 52
  Swap 78 and 52
  List after swap: [-77, -29, -82, 34, 67, 36, 0, 52, 78, -51]
  Compare 78 and -51
  Swap 78 and -51
  List after swap: [-77, -29, -82, 34, 67, 36, 0, 52, -51, 78]

Pass 2:
  Compare -77 and -29
  No swap needed
  Compare -29 and -82
  Swap -29 and -82
  List after swap: [-77, -82, -29, 34, 67, 36, 0, 52, -51, 78]
  Compare -29 and 34
  No swap needed
  Compare 34 and 67
  No swap needed
  Compare 67 and 36
  Swap 67 and 36
  List after swap: [-77, -82, -29, 34, 36, 67, 0, 52, -51, 78]
  Compare 67 and 0
  Swap 67 and 0
  List after swap: [-77, -82, -29, 34, 36, 0, 67, 52, -51, 78]
  Compare 67 and 52
  Swap 67 and 52
  List after swap: [-77, -82, -29, 34, 36, 0, 52, 67, -51, 78]
  Compare 67 and -51
  Swap 67 and -51
  List after swap: [-77, -82, -29, 34, 36, 0, 52, -51, 67, 78]

Pass 3:
  Compare -77 and -82
  Swap -77 and -82
  List after swap: [-82, -77, -29, 34, 36, 0, 52, -51, 67, 78]
  Compare -77 and -29
  No swap needed
  Compare -29 and 34
  No swap needed
  Compare 34 and 36
  No swap needed
  Compare 36 and 0
  Swap 36 and 0
  List after swap: [-82, -77, -29, 34, 0, 36, 52, -51, 67, 78]
  Compare 36 and 52
  No swap needed
  Compare 52 and -51
  Swap 52 and -51
  List after swap: [-82, -77, -29, 34, 0, 36, -51, 52, 67, 78]

Pass 4:
  Compare -82 and -77
  No swap needed
  Compare -77 and -29
  No swap needed
  Compare -29 and 34
  No swap needed
  Compare 34 and 0
  Swap 34 and 0
  List after swap: [-82, -77, -29, 0, 34, 36, -51, 52, 67, 78]
  Compare 34 and 36
  No swap needed
  Compare 36 and -51
  Swap 36 and -51
  List after swap: [-82, -77, -29, 0, 34, -51, 36, 52, 67, 78]

Pass 5:
  Compare -82 and -77
  No swap needed
  Compare -77 and -29
  No swap needed
  Compare -29 and 0
  No swap needed
  Compare 0 and 34
  No swap needed
  Compare 34 and -51
  Swap 34 and -51
  List after swap: [-82, -77, -29, 0, -51, 34, 36, 52, 67, 78]

Pass 6:
  Compare -82 and -77
  No swap needed
  Compare -77 and -29
  No swap needed
  Compare -29 and 0
  No swap needed
  Compare 0 and -51
  Swap 0 and -51
  List after swap: [-82, -77, -29, -51, 0, 34, 36, 52, 67, 78]

Pass 7:
  Compare -82 and -77
  No swap needed
  Compare -77 and -29
  No swap needed
  Compare -29 and -51
  Swap -29 and -51
  List after swap: [-82, -77, -51, -29, 0, 34, 36, 52, 67, 78]

Pass 8:
  Compare -82 and -77
  No swap needed
  Compare -77 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -77, -51, -29, 0, 34, 36, 52, 67, 78]
</think>

<response>-82, -77, -51, -29, 0, 34, 36, 52, 67, 78</response>


input: Sort these integers -82, -89, 41, -27, 72, -38, -36 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-82, -89, 41, -27, 72, -38, -36]

Pass 1:
  Compare -82 and -89
  Swap -82 and -89
  List after swap: [-89, -82, 41, -27, 72, -38, -36]
  Compare -82 and 41
  No swap needed
  Compare 41 and -27
  Swap 41 and -27
  List after swap: [-89, -82, -27, 41, 72, -38, -36]
  Compare 41 and 72
  No swap needed
  Compare 72 and -38
  Swap 72 and -38
  List after swap: [-89, -82, -27, 41, -38, 72, -36]
  Compare 72 and -36
  Swap 72 and -36
  List after swap: [-89, -82, -27, 41, -38, -36, 72]

Pass 2:
  Compare -89 and -82
  No swap needed
  Compare -82 and -27
  No swap needed
  Compare -27 and 41
  No swap needed
  Compare 41 and -38
  Swap 41 and -38
  List after swap: [-89, -82, -27, -38, 41, -36, 72]
  Compare 41 and -36
  Swap 41 and -36
  List after swap: [-89, -82, -27, -38, -36, 41, 72]

Pass 3:
  Compare -89 and -82
  No swap needed
  Compare -82 and -27
  No swap needed
  Compare -27 and -38
  Swap -27 and -38
  List after swap: [-89, -82, -38, -27, -36, 41, 72]
  Compare -27 and -36
  Swap -27 and -36
  List after swap: [-89, -82, -38, -36, -27, 41, 72]

Pass 4:
  Compare -89 and -82
  No swap needed
  Compare -82 and -38
  No swap needed
  Compare -38 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -82, -38, -36, -27, 41, 72]
</think>

<response>-89, -82, -38, -36, -27, 41, 72</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 61, 79, 56, -65.

output:
<think>
Initial list: [61, 79, 56, -65]

Pass 1:
  Compare 61 and 79
  No swap needed
  Compare 79 and 56
  Swap 79 and 56
  List after swap: [61, 56, 79, -65]
  Compare 79 and -65
  Swap 79 and -65
  List after swap: [61, 56, -65, 79]

Pass 2:
  Compare 61 and 56
  Swap 61 and 56
  List after swap: [56, 61, -65, 79]
  Compare 61 and -65
  Swap 61 and -65
  List after swap: [56, -65, 61, 79]

Pass 3:
  Compare 56 and -65
  Swap 56 and -65
  List after swap: [-65, 56, 61, 79]

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

Final sorted list: [-65, 56, 61, 79]
</think>

<response>-65, 56, 61, 79</response>


input: Carry out the bubble sort algorithm on 2, -11, -28, -34, 13, -60, -96, 74, 82 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [2, -11, -28, -34, 13, -60, -96, 74, 82]

Pass 1:
  Compare 2 and -11
  Swap 2 and -11
  List after swap: [-11, 2, -28, -34, 13, -60, -96, 74, 82]
  Compare 2 and -28
  Swap 2 and -28
  List after swap: [-11, -28, 2, -34, 13, -60, -96, 74, 82]
  Compare 2 and -34
  Swap 2 and -34
  List after swap: [-11, -28, -34, 2, 13, -60, -96, 74, 82]
  Compare 2 and 13
  No swap needed
  Compare 13 and -60
  Swap 13 and -60
  List after swap: [-11, -28, -34, 2, -60, 13, -96, 74, 82]
  Compare 13 and -96
  Swap 13 and -96
  List after swap: [-11, -28, -34, 2, -60, -96, 13, 74, 82]
  Compare 13 and 74
  No swap needed
  Compare 74 and 82
  No swap needed

Pass 2:
  Compare -11 and -28
  Swap -11 and -28
  List after swap: [-28, -11, -34, 2, -60, -96, 13, 74, 82]
  Compare -11 and -34
  Swap -11 and -34
  List after swap: [-28, -34, -11, 2, -60, -96, 13, 74, 82]
  Compare -11 and 2
  No swap needed
  Compare 2 and -60
  Swap 2 and -60
  List after swap: [-28, -34, -11, -60, 2, -96, 13, 74, 82]
  Compare 2 and -96
  Swap 2 and -96
  List after swap: [-28, -34, -11, -60, -96, 2, 13, 74, 82]
  Compare 2 and 13
  No swap needed
  Compare 13 and 74
  No swap needed

Pass 3:
  Compare -28 and -34
  Swap -28 and -34
  List after swap: [-34, -28, -11, -60, -96, 2, 13, 74, 82]
  Compare -28 and -11
  No swap needed
  Compare -11 and -60
  Swap -11 and -60
  List after swap: [-34, -28, -60, -11, -96, 2, 13, 74, 82]
  Compare -11 and -96
  Swap -11 and -96
  List after swap: [-34, -28, -60, -96, -11, 2, 13, 74, 82]
  Compare -11 and 2
  No swap needed
  Compare 2 and 13
  No swap needed

Pass 4:
  Compare -34 and -28
  No swap needed
  Compare -28 and -60
  Swap -28 and -60
  List after swap: [-34, -60, -28, -96, -11, 2, 13, 74, 82]
  Compare -28 and -96
  Swap -28 and -96
  List after swap: [-34, -60, -96, -28, -11, 2, 13, 74, 82]
  Compare -28 and -11
  No swap needed
  Compare -11 and 2
  No swap needed

Pass 5:
  Compare -34 and -60
  Swap -34 and -60
  List after swap: [-60, -34, -96, -28, -11, 2, 13, 74, 82]
  Compare -34 and -96
  Swap -34 and -96
  List after swap: [-60, -96, -34, -28, -11, 2, 13, 74, 82]
  Compare -34 and -28
  No swap needed
  Compare -28 and -11
  No swap needed

Pass 6:
  Compare -60 and -96
  Swap -60 and -96
  List after swap: [-96, -60, -34, -28, -11, 2, 13, 74, 82]
  Compare -60 and -34
  No swap needed
  Compare -34 and -28
  No swap needed

Pass 7:
  Compare -96 and -60
  No swap needed
  Compare -60 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -60, -34, -28, -11, 2, 13, 74, 82]
</think>

<response>-96, -60, -34, -28, -11, 2, 13, 74, 82</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -99, -80, -57, 26, 19, 75, -62, 38, -71.

output:
<think>
Initial list: [-99, -80, -57, 26, 19, 75, -62, 38, -71]

Pass 1:
  Compare -99 and -80
  No swap needed
  Compare -80 and -57
  No swap needed
  Compare -57 and 26
  No swap needed
  Compare 26 and 19
  Swap 26 and 19
  List after swap: [-99, -80, -57, 19, 26, 75, -62, 38, -71]
  Compare 26 and 75
  No swap needed
  Compare 75 and -62
  Swap 75 and -62
  List after swap: [-99, -80, -57, 19, 26, -62, 75, 38, -71]
  Compare 75 and 38
  Swap 75 and 38
  List after swap: [-99, -80, -57, 19, 26, -62, 38, 75, -71]
  Compare 75 and -71
  Swap 75 and -71
  List after swap: [-99, -80, -57, 19, 26, -62, 38, -71, 75]

Pass 2:
  Compare -99 and -80
  No swap needed
  Compare -80 and -57
  No swap needed
  Compare -57 and 19
  No swap needed
  Compare 19 and 26
  No swap needed
  Compare 26 and -62
  Swap 26 and -62
  List after swap: [-99, -80, -57, 19, -62, 26, 38, -71, 75]
  Compare 26 and 38
  No swap needed
  Compare 38 and -71
  Swap 38 and -71
  List after swap: [-99, -80, -57, 19, -62, 26, -71, 38, 75]

Pass 3:
  Compare -99 and -80
  No swap needed
  Compare -80 and -57
  No swap needed
  Compare -57 and 19
  No swap needed
  Compare 19 and -62
  Swap 19 and -62
  List after swap: [-99, -80, -57, -62, 19, 26, -71, 38, 75]
  Compare 19 and 26
  No swap needed
  Compare 26 and -71
  Swap 26 and -71
  List after swap: [-99, -80, -57, -62, 19, -71, 26, 38, 75]

Pass 4:
  Compare -99 and -80
  No swap needed
  Compare -80 and -57
  No swap needed
  Compare -57 and -62
  Swap -57 and -62
  List after swap: [-99, -80, -62, -57, 19, -71, 26, 38, 75]
  Compare -57 and 19
  No swap needed
  Compare 19 and -71
  Swap 19 and -71
  List after swap: [-99, -80, -62, -57, -71, 19, 26, 38, 75]

Pass 5:
  Compare -99 and -80
  No swap needed
  Compare -80 and -62
  No swap needed
  Compare -62 and -57
  No swap needed
  Compare -57 and -71
  Swap -57 and -71
  List after swap: [-99, -80, -62, -71, -57, 19, 26, 38, 75]

Pass 6:
  Compare -99 and -80
  No swap needed
  Compare -80 and -62
  No swap needed
  Compare -62 and -71
  Swap -62 and -71
  List after swap: [-99, -80, -71, -62, -57, 19, 26, 38, 75]

Pass 7:
  Compare -99 and -80
  No swap needed
  Compare -80 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -80, -71, -62, -57, 19, 26, 38, 75]
</think>

<response>-99, -80, -71, -62, -57, 19, 26, 38, 75</response>


input: Using the bubble sort method, sort -46, 68, -62, -22, -83, -50, -3 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-46, 68, -62, -22, -83, -50, -3]

Pass 1:
  Compare -46 and 68
  No swap needed
  Compare 68 and -62
  Swap 68 and -62
  List after swap: [-46, -62, 68, -22, -83, -50, -3]
  Compare 68 and -22
  Swap 68 and -22
  List after swap: [-46, -62, -22, 68, -83, -50, -3]
  Compare 68 and -83
  Swap 68 and -83
  List after swap: [-46, -62, -22, -83, 68, -50, -3]
  Compare 68 and -50
  Swap 68 and -50
  List after swap: [-46, -62, -22, -83, -50, 68, -3]
  Compare 68 and -3
  Swap 68 and -3
  List after swap: [-46, -62, -22, -83, -50, -3, 68]

Pass 2:
  Compare -46 and -62
  Swap -46 and -62
  List after swap: [-62, -46, -22, -83, -50, -3, 68]
  Compare -46 and -22
  No swap needed
  Compare -22 and -83
  Swap -22 and -83
  List after swap: [-62, -46, -83, -22, -50, -3, 68]
  Compare -22 and -50
  Swap -22 and -50
  List after swap: [-62, -46, -83, -50, -22, -3, 68]
  Compare -22 and -3
  No swap needed

Pass 3:
  Compare -62 and -46
  No swap needed
  Compare -46 and -83
  Swap -46 and -83
  List after swap: [-62, -83, -46, -50, -22, -3, 68]
  Compare -46 and -50
  Swap -46 and -50
  List after swap: [-62, -83, -50, -46, -22, -3, 68]
  Compare -46 and -22
  No swap needed

Pass 4:
  Compare -62 and -83
  Swap -62 and -83
  List after swap: [-83, -62, -50, -46, -22, -3, 68]
  Compare -62 and -50
  No swap needed
  Compare -50 and -46
  No swap needed

Pass 5:
  Compare -83 and -62
  No swap needed
  Compare -62 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -62, -50, -46, -22, -3, 68]
</think>

<response>-83, -62, -50, -46, -22, -3, 68</response>


input: Implement bubble sort on -15, 11, 55, -7, -80, -71, 87 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-15, 11, 55, -7, -80, -71, 87]

Pass 1:
  Compare -15 and 11
  No swap needed
  Compare 11 and 55
  No swap needed
  Compare 55 and -7
  Swap 55 and -7
  List after swap: [-15, 11, -7, 55, -80, -71, 87]
  Compare 55 and -80
  Swap 55 and -80
  List after swap: [-15, 11, -7, -80, 55, -71, 87]
  Compare 55 and -71
  Swap 55 and -71
  List after swap: [-15, 11, -7, -80, -71, 55, 87]
  Compare 55 and 87
  No swap needed

Pass 2:
  Compare -15 and 11
  No swap needed
  Compare 11 and -7
  Swap 11 and -7
  List after swap: [-15, -7, 11, -80, -71, 55, 87]
  Compare 11 and -80
  Swap 11 and -80
  List after swap: [-15, -7, -80, 11, -71, 55, 87]
  Compare 11 and -71
  Swap 11 and -71
  List after swap: [-15, -7, -80, -71, 11, 55, 87]
  Compare 11 and 55
  No swap needed

Pass 3:
  Compare -15 and -7
  No swap needed
  Compare -7 and -80
  Swap -7 and -80
  List after swap: [-15, -80, -7, -71, 11, 55, 87]
  Compare -7 and -71
  Swap -7 and -71
  List after swap: [-15, -80, -71, -7, 11, 55, 87]
  Compare -7 and 11
  No swap needed

Pass 4:
  Compare -15 and -80
  Swap -15 and -80
  List after swap: [-80, -15, -71, -7, 11, 55, 87]
  Compare -15 and -71
  Swap -15 and -71
  List after swap: [-80, -71, -15, -7, 11, 55, 87]
  Compare -15 and -7
  No swap needed

Pass 5:
  Compare -80 and -71
  No swap needed
  Compare -71 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -71, -15, -7, 11, 55, 87]
</think>

<response>-80, -71, -15, -7, 11, 55, 87</response>


input: Using the bubble sort method, sort -53, 38, 51, 18, -63, 50, -57 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-53, 38, 51, 18, -63, 50, -57]

Pass 1:
  Compare -53 and 38
  No swap needed
  Compare 38 and 51
  No swap needed
  Compare 51 and 18
  Swap 51 and 18
  List after swap: [-53, 38, 18, 51, -63, 50, -57]
  Compare 51 and -63
  Swap 51 and -63
  List after swap: [-53, 38, 18, -63, 51, 50, -57]
  Compare 51 and 50
  Swap 51 and 50
  List after swap: [-53, 38, 18, -63, 50, 51, -57]
  Compare 51 and -57
  Swap 51 and -57
  List after swap: [-53, 38, 18, -63, 50, -57, 51]

Pass 2:
  Compare -53 and 38
  No swap needed
  Compare 38 and 18
  Swap 38 and 18
  List after swap: [-53, 18, 38, -63, 50, -57, 51]
  Compare 38 and -63
  Swap 38 and -63
  List after swap: [-53, 18, -63, 38, 50, -57, 51]
  Compare 38 and 50
  No swap needed
  Compare 50 and -57
  Swap 50 and -57
  List after swap: [-53, 18, -63, 38, -57, 50, 51]

Pass 3:
  Compare -53 and 18
  No swap needed
  Compare 18 and -63
  Swap 18 and -63
  List after swap: [-53, -63, 18, 38, -57, 50, 51]
  Compare 18 and 38
  No swap needed
  Compare 38 and -57
  Swap 38 and -57
  List after swap: [-53, -63, 18, -57, 38, 50, 51]

Pass 4:
  Compare -53 and -63
  Swap -53 and -63
  List after swap: [-63, -53, 18, -57, 38, 50, 51]
  Compare -53 and 18
  No swap needed
  Compare 18 and -57
  Swap 18 and -57
  List after swap: [-63, -53, -57, 18, 38, 50, 51]

Pass 5:
  Compare -63 and -53
  No swap needed
  Compare -53 and -57
  Swap -53 and -57
  List after swap: [-63, -57, -53, 18, 38, 50, 51]

Pass 6:
  Compare -63 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -57, -53, 18, 38, 50, 51]
</think>

<response>-63, -57, -53, 18, 38, 50, 51</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -55, 83, 33, -24, 96, 8, -45, -26, -29.

output:
<think>
Initial list: [-55, 83, 33, -24, 96, 8, -45, -26, -29]

Pass 1:
  Compare -55 and 83
  No swap needed
  Compare 83 and 33
  Swap 83 and 33
  List after swap: [-55, 33, 83, -24, 96, 8, -45, -26, -29]
  Compare 83 and -24
  Swap 83 and -24
  List after swap: [-55, 33, -24, 83, 96, 8, -45, -26, -29]
  Compare 83 and 96
  No swap needed
  Compare 96 and 8
  Swap 96 and 8
  List after swap: [-55, 33, -24, 83, 8, 96, -45, -26, -29]
  Compare 96 and -45
  Swap 96 and -45
  List after swap: [-55, 33, -24, 83, 8, -45, 96, -26, -29]
  Compare 96 and -26
  Swap 96 and -26
  List after swap: [-55, 33, -24, 83, 8, -45, -26, 96, -29]
  Compare 96 and -29
  Swap 96 and -29
  List after swap: [-55, 33, -24, 83, 8, -45, -26, -29, 96]

Pass 2:
  Compare -55 and 33
  No swap needed
  Compare 33 and -24
  Swap 33 and -24
  List after swap: [-55, -24, 33, 83, 8, -45, -26, -29, 96]
  Compare 33 and 83
  No swap needed
  Compare 83 and 8
  Swap 83 and 8
  List after swap: [-55, -24, 33, 8, 83, -45, -26, -29, 96]
  Compare 83 and -45
  Swap 83 and -45
  List after swap: [-55, -24, 33, 8, -45, 83, -26, -29, 96]
  Compare 83 and -26
  Swap 83 and -26
  List after swap: [-55, -24, 33, 8, -45, -26, 83, -29, 96]
  Compare 83 and -29
  Swap 83 and -29
  List after swap: [-55, -24, 33, 8, -45, -26, -29, 83, 96]

Pass 3:
  Compare -55 and -24
  No swap needed
  Compare -24 and 33
  No swap needed
  Compare 33 and 8
  Swap 33 and 8
  List after swap: [-55, -24, 8, 33, -45, -26, -29, 83, 96]
  Compare 33 and -45
  Swap 33 and -45
  List after swap: [-55, -24, 8, -45, 33, -26, -29, 83, 96]
  Compare 33 and -26
  Swap 33 and -26
  List after swap: [-55, -24, 8, -45, -26, 33, -29, 83, 96]
  Compare 33 and -29
  Swap 33 and -29
  List after swap: [-55, -24, 8, -45, -26, -29, 33, 83, 96]

Pass 4:
  Compare -55 and -24
  No swap needed
  Compare -24 and 8
  No swap needed
  Compare 8 and -45
  Swap 8 and -45
  List after swap: [-55, -24, -45, 8, -26, -29, 33, 83, 96]
  Compare 8 and -26
  Swap 8 and -26
  List after swap: [-55, -24, -45, -26, 8, -29, 33, 83, 96]
  Compare 8 and -29
  Swap 8 and -29
  List after swap: [-55, -24, -45, -26, -29, 8, 33, 83, 96]

Pass 5:
  Compare -55 and -24
  No swap needed
  Compare -24 and -45
  Swap -24 and -45
  List after swap: [-55, -45, -24, -26, -29, 8, 33, 83, 96]
  Compare -24 and -26
  Swap -24 and -26
  List after swap: [-55, -45, -26, -24, -29, 8, 33, 83, 96]
  Compare -24 and -29
  Swap -24 and -29
  List after swap: [-55, -45, -26, -29, -24, 8, 33, 83, 96]

Pass 6:
  Compare -55 and -45
  No swap needed
  Compare -45 and -26
  No swap needed
  Compare -26 and -29
  Swap -26 and -29
  List after swap: [-55, -45, -29, -26, -24, 8, 33, 83, 96]

Pass 7:
  Compare -55 and -45
  No swap needed
  Compare -45 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, -45, -29, -26, -24, 8, 33, 83, 96]
</think>

<response>-55, -45, -29, -26, -24, 8, 33, 83, 96</response>


input: Demonstrate how bubble sort orders the integers -42, -37, -9, 27, -71 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-42, -37, -9, 27, -71]

Pass 1:
  Compare -42 and -37
  No swap needed
  Compare -37 and -9
  No swap needed
  Compare -9 and 27
  No swap needed
  Compare 27 and -71
  Swap 27 and -71
  List after swap: [-42, -37, -9, -71, 27]

Pass 2:
  Compare -42 and -37
  No swap needed
  Compare -37 and -9
  No swap needed
  Compare -9 and -71
  Swap -9 and -71
  List after swap: [-42, -37, -71, -9, 27]

Pass 3:
  Compare -42 and -37
  No swap needed
  Compare -37 and -71
  Swap -37 and -71
  List after swap: [-42, -71, -37, -9, 27]

Pass 4:
  Compare -42 and -71
  Swap -42 and -71
  List after swap: [-71, -42, -37, -9, 27]

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

Final sorted list: [-71, -42, -37, -9, 27]
</think>

<response>-71, -42, -37, -9, 27</response>


input: Demonstrate how bubble sort orders the integers -75, -27, -7, 15, -12, -42 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-75, -27, -7, 15, -12, -42]

Pass 1:
  Compare -75 and -27
  No swap needed
  Compare -27 and -7
  No swap needed
  Compare -7 and 15
  No swap needed
  Compare 15 and -12
  Swap 15 and -12
  List after swap: [-75, -27, -7, -12, 15, -42]
  Compare 15 and -42
  Swap 15 and -42
  List after swap: [-75, -27, -7, -12, -42, 15]

Pass 2:
  Compare -75 and -27
  No swap needed
  Compare -27 and -7
  No swap needed
  Compare -7 and -12
  Swap -7 and -12
  List after swap: [-75, -27, -12, -7, -42, 15]
  Compare -7 and -42
  Swap -7 and -42
  List after swap: [-75, -27, -12, -42, -7, 15]

Pass 3:
  Compare -75 and -27
  No swap needed
  Compare -27 and -12
  No swap needed
  Compare -12 and -42
  Swap -12 and -42
  List after swap: [-75, -27, -42, -12, -7, 15]

Pass 4:
  Compare -75 and -27
  No swap needed
  Compare -27 and -42
  Swap -27 and -42
  List after swap: [-75, -42, -27, -12, -7, 15]

Pass 5:
  Compare -75 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -42, -27, -12, -7, 15]
</think>

<response>-75, -42, -27, -12, -7, 15</response>


input: Using the bubble sort method, sort -17, -33, -51, -6, 20 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-17, -33, -51, -6, 20]

Pass 1:
  Compare -17 and -33
  Swap -17 and -33
  List after swap: [-33, -17, -51, -6, 20]
  Compare -17 and -51
  Swap -17 and -51
  List after swap: [-33, -51, -17, -6, 20]
  Compare -17 and -6
  No swap needed
  Compare -6 and 20
  No swap needed

Pass 2:
  Compare -33 and -51
  Swap -33 and -51
  List after swap: [-51, -33, -17, -6, 20]
  Compare -33 and -17
  No swap needed
  Compare -17 and -6
  No swap needed

Pass 3:
  Compare -51 and -33
  No swap needed
  Compare -33 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-51, -33, -17, -6, 20]
</think>

<response>-51, -33, -17, -6, 20</response>


input: Arrange the numbers -10, 71, 32, 37, -49 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-10, 71, 32, 37, -49]

Pass 1:
  Compare -10 and 71
  No swap needed
  Compare 71 and 32
  Swap 71 and 32
  List after swap: [-10, 32, 71, 37, -49]
  Compare 71 and 37
  Swap 71 and 37
  List after swap: [-10, 32, 37, 71, -49]
  Compare 71 and -49
  Swap 71 and -49
  List after swap: [-10, 32, 37, -49, 71]

Pass 2:
  Compare -10 and 32
  No swap needed
  Compare 32 and 37
  No swap needed
  Compare 37 and -49
  Swap 37 and -49
  List after swap: [-10, 32, -49, 37, 71]

Pass 3:
  Compare -10 and 32
  No swap needed
  Compare 32 and -49
  Swap 32 and -49
  List after swap: [-10, -49, 32, 37, 71]

Pass 4:
  Compare -10 and -49
  Swap -10 and -49
  List after swap: [-49, -10, 32, 37, 71]

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

Final sorted list: [-49, -10, 32, 37, 71]
</think>

<response>-49, -10, 32, 37, 71</response>


input: Arrange the numbers -100, -98, 44, -58, 90, -46, -68, 38, -44, -79 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-100, -98, 44, -58, 90, -46, -68, 38, -44, -79]

Pass 1:
  Compare -100 and -98
  No swap needed
  Compare -98 and 44
  No swap needed
  Compare 44 and -58
  Swap 44 and -58
  List after swap: [-100, -98, -58, 44, 90, -46, -68, 38, -44, -79]
  Compare 44 and 90
  No swap needed
  Compare 90 and -46
  Swap 90 and -46
  List after swap: [-100, -98, -58, 44, -46, 90, -68, 38, -44, -79]
  Compare 90 and -68
  Swap 90 and -68
  List after swap: [-100, -98, -58, 44, -46, -68, 90, 38, -44, -79]
  Compare 90 and 38
  Swap 90 and 38
  List after swap: [-100, -98, -58, 44, -46, -68, 38, 90, -44, -79]
  Compare 90 and -44
  Swap 90 and -44
  List after swap: [-100, -98, -58, 44, -46, -68, 38, -44, 90, -79]
  Compare 90 and -79
  Swap 90 and -79
  List after swap: [-100, -98, -58, 44, -46, -68, 38, -44, -79, 90]

Pass 2:
  Compare -100 and -98
  No swap needed
  Compare -98 and -58
  No swap needed
  Compare -58 and 44
  No swap needed
  Compare 44 and -46
  Swap 44 and -46
  List after swap: [-100, -98, -58, -46, 44, -68, 38, -44, -79, 90]
  Compare 44 and -68
  Swap 44 and -68
  List after swap: [-100, -98, -58, -46, -68, 44, 38, -44, -79, 90]
  Compare 44 and 38
  Swap 44 and 38
  List after swap: [-100, -98, -58, -46, -68, 38, 44, -44, -79, 90]
  Compare 44 and -44
  Swap 44 and -44
  List after swap: [-100, -98, -58, -46, -68, 38, -44, 44, -79, 90]
  Compare 44 and -79
  Swap 44 and -79
  List after swap: [-100, -98, -58, -46, -68, 38, -44, -79, 44, 90]

Pass 3:
  Compare -100 and -98
  No swap needed
  Compare -98 and -58
  No swap needed
  Compare -58 and -46
  No swap needed
  Compare -46 and -68
  Swap -46 and -68
  List after swap: [-100, -98, -58, -68, -46, 38, -44, -79, 44, 90]
  Compare -46 and 38
  No swap needed
  Compare 38 and -44
  Swap 38 and -44
  List after swap: [-100, -98, -58, -68, -46, -44, 38, -79, 44, 90]
  Compare 38 and -79
  Swap 38 and -79
  List after swap: [-100, -98, -58, -68, -46, -44, -79, 38, 44, 90]

Pass 4:
  Compare -100 and -98
  No swap needed
  Compare -98 and -58
  No swap needed
  Compare -58 and -68
  Swap -58 and -68
  List after swap: [-100, -98, -68, -58, -46, -44, -79, 38, 44, 90]
  Compare -58 and -46
  No swap needed
  Compare -46 and -44
  No swap needed
  Compare -44 and -79
  Swap -44 and -79
  List after swap: [-100, -98, -68, -58, -46, -79, -44, 38, 44, 90]

Pass 5:
  Compare -100 and -98
  No swap needed
  Compare -98 and -68
  No swap needed
  Compare -68 and -58
  No swap needed
  Compare -58 and -46
  No swap needed
  Compare -46 and -79
  Swap -46 and -79
  List after swap: [-100, -98, -68, -58, -79, -46, -44, 38, 44, 90]

Pass 6:
  Compare -100 and -98
  No swap needed
  Compare -98 and -68
  No swap needed
  Compare -68 and -58
  No swap needed
  Compare -58 and -79
  Swap -58 and -79
  List after swap: [-100, -98, -68, -79, -58, -46, -44, 38, 44, 90]

Pass 7:
  Compare -100 and -98
  No swap needed
  Compare -98 and -68
  No swap needed
  Compare -68 and -79
  Swap -68 and -79
  List after swap: [-100, -98, -79, -68, -58, -46, -44, 38, 44, 90]

Pass 8:
  Compare -100 and -98
  No swap needed
  Compare -98 and -79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -98, -79, -68, -58, -46, -44, 38, 44, 90]
</think>

<response>-100, -98, -79, -68, -58, -46, -44, 38, 44, 90</response>


input: Use the bubble sort technique to reorder -25, 92, 56, -59 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-25, 92, 56, -59]

Pass 1:
  Compare -25 and 92
  No swap needed
  Compare 92 and 56
  Swap 92 and 56
  List after swap: [-25, 56, 92, -59]
  Compare 92 and -59
  Swap 92 and -59
  List after swap: [-25, 56, -59, 92]

Pass 2:
  Compare -25 and 56
  No swap needed
  Compare 56 and -59
  Swap 56 and -59
  List after swap: [-25, -59, 56, 92]

Pass 3:
  Compare -25 and -59
  Swap -25 and -59
  List after swap: [-59, -25, 56, 92]

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

Final sorted list: [-59, -25, 56, 92]
</think>

<response>-59, -25, 56, 92</response>


input: Execute bubble sort to sort -68, -88, -11 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-68, -88, -11]

Pass 1:
  Compare -68 and -88
  Swap -68 and -88
  List after swap: [-88, -68, -11]
  Compare -68 and -11
  No swap needed

Pass 2:
  Compare -88 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -68, -11]
</think>

<response>-88, -68, -11</response>


input: Sort these integers 31, -81, -85, 75, 38, 73, -49, -50, -8 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [31, -81, -85, 75, 38, 73, -49, -50, -8]

Pass 1:
  Compare 31 and -81
  Swap 31 and -81
  List after swap: [-81, 31, -85, 75, 38, 73, -49, -50, -8]
  Compare 31 and -85
  Swap 31 and -85
  List after swap: [-81, -85, 31, 75, 38, 73, -49, -50, -8]
  Compare 31 and 75
  No swap needed
  Compare 75 and 38
  Swap 75 and 38
  List after swap: [-81, -85, 31, 38, 75, 73, -49, -50, -8]
  Compare 75 and 73
  Swap 75 and 73
  List after swap: [-81, -85, 31, 38, 73, 75, -49, -50, -8]
  Compare 75 and -49
  Swap 75 and -49
  List after swap: [-81, -85, 31, 38, 73, -49, 75, -50, -8]
  Compare 75 and -50
  Swap 75 and -50
  List after swap: [-81, -85, 31, 38, 73, -49, -50, 75, -8]
  Compare 75 and -8
  Swap 75 and -8
  List after swap: [-81, -85, 31, 38, 73, -49, -50, -8, 75]

Pass 2:
  Compare -81 and -85
  Swap -81 and -85
  List after swap: [-85, -81, 31, 38, 73, -49, -50, -8, 75]
  Compare -81 and 31
  No swap needed
  Compare 31 and 38
  No swap needed
  Compare 38 and 73
  No swap needed
  Compare 73 and -49
  Swap 73 and -49
  List after swap: [-85, -81, 31, 38, -49, 73, -50, -8, 75]
  Compare 73 and -50
  Swap 73 and -50
  List after swap: [-85, -81, 31, 38, -49, -50, 73, -8, 75]
  Compare 73 and -8
  Swap 73 and -8
  List after swap: [-85, -81, 31, 38, -49, -50, -8, 73, 75]

Pass 3:
  Compare -85 and -81
  No swap needed
  Compare -81 and 31
  No swap needed
  Compare 31 and 38
  No swap needed
  Compare 38 and -49
  Swap 38 and -49
  List after swap: [-85, -81, 31, -49, 38, -50, -8, 73, 75]
  Compare 38 and -50
  Swap 38 and -50
  List after swap: [-85, -81, 31, -49, -50, 38, -8, 73, 75]
  Compare 38 and -8
  Swap 38 and -8
  List after swap: [-85, -81, 31, -49, -50, -8, 38, 73, 75]

Pass 4:
  Compare -85 and -81
  No swap needed
  Compare -81 and 31
  No swap needed
  Compare 31 and -49
  Swap 31 and -49
  List after swap: [-85, -81, -49, 31, -50, -8, 38, 73, 75]
  Compare 31 and -50
  Swap 31 and -50
  List after swap: [-85, -81, -49, -50, 31, -8, 38, 73, 75]
  Compare 31 and -8
  Swap 31 and -8
  List after swap: [-85, -81, -49, -50, -8, 31, 38, 73, 75]

Pass 5:
  Compare -85 and -81
  No swap needed
  Compare -81 and -49
  No swap needed
  Compare -49 and -50
  Swap -49 and -50
  List after swap: [-85, -81, -50, -49, -8, 31, 38, 73, 75]
  Compare -49 and -8
  No swap needed

Pass 6:
  Compare -85 and -81
  No swap needed
  Compare -81 and -50
  No swap needed
  Compare -50 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -81, -50, -49, -8, 31, 38, 73, 75]
</think>

<response>-85, -81, -50, -49, -8, 31, 38, 73, 75</response>


input: Perform a bubble sort on the integers 63, 21, -77, 83, -86, -15, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [63, 21, -77, 83, -86, -15]

Pass 1:
  Compare 63 and 21
  Swap 63 and 21
  List after swap: [21, 63, -77, 83, -86, -15]
  Compare 63 and -77
  Swap 63 and -77
  List after swap: [21, -77, 63, 83, -86, -15]
  Compare 63 and 83
  No swap needed
  Compare 83 and -86
  Swap 83 and -86
  List after swap: [21, -77, 63, -86, 83, -15]
  Compare 83 and -15
  Swap 83 and -15
  List after swap: [21, -77, 63, -86, -15, 83]

Pass 2:
  Compare 21 and -77
  Swap 21 and -77
  List after swap: [-77, 21, 63, -86, -15, 83]
  Compare 21 and 63
  No swap needed
  Compare 63 and -86
  Swap 63 and -86
  List after swap: [-77, 21, -86, 63, -15, 83]
  Compare 63 and -15
  Swap 63 and -15
  List after swap: [-77, 21, -86, -15, 63, 83]

Pass 3:
  Compare -77 and 21
  No swap needed
  Compare 21 and -86
  Swap 21 and -86
  List after swap: [-77, -86, 21, -15, 63, 83]
  Compare 21 and -15
  Swap 21 and -15
  List after swap: [-77, -86, -15, 21, 63, 83]

Pass 4:
  Compare -77 and -86
  Swap -77 and -86
  List after swap: [-86, -77, -15, 21, 63, 83]
  Compare -77 and -15
  No swap needed

Pass 5:
  Compare -86 and -77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -77, -15, 21, 63, 83]
</think>

<response>-86, -77, -15, 21, 63, 83</response>


input: Use the bubble sort technique to reorder -91, 35, -27, 7, -37, -47, 75, -100 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-91, 35, -27, 7, -37, -47, 75, -100]

Pass 1:
  Compare -91 and 35
  No swap needed
  Compare 35 and -27
  Swap 35 and -27
  List after swap: [-91, -27, 35, 7, -37, -47, 75, -100]
  Compare 35 and 7
  Swap 35 and 7
  List after swap: [-91, -27, 7, 35, -37, -47, 75, -100]
  Compare 35 and -37
  Swap 35 and -37
  List after swap: [-91, -27, 7, -37, 35, -47, 75, -100]
  Compare 35 and -47
  Swap 35 and -47
  List after swap: [-91, -27, 7, -37, -47, 35, 75, -100]
  Compare 35 and 75
  No swap needed
  Compare 75 and -100
  Swap 75 and -100
  List after swap: [-91, -27, 7, -37, -47, 35, -100, 75]

Pass 2:
  Compare -91 and -27
  No swap needed
  Compare -27 and 7
  No swap needed
  Compare 7 and -37
  Swap 7 and -37
  List after swap: [-91, -27, -37, 7, -47, 35, -100, 75]
  Compare 7 and -47
  Swap 7 and -47
  List after swap: [-91, -27, -37, -47, 7, 35, -100, 75]
  Compare 7 and 35
  No swap needed
  Compare 35 and -100
  Swap 35 and -100
  List after swap: [-91, -27, -37, -47, 7, -100, 35, 75]

Pass 3:
  Compare -91 and -27
  No swap needed
  Compare -27 and -37
  Swap -27 and -37
  List after swap: [-91, -37, -27, -47, 7, -100, 35, 75]
  Compare -27 and -47
  Swap -27 and -47
  List after swap: [-91, -37, -47, -27, 7, -100, 35, 75]
  Compare -27 and 7
  No swap needed
  Compare 7 and -100
  Swap 7 and -100
  List after swap: [-91, -37, -47, -27, -100, 7, 35, 75]

Pass 4:
  Compare -91 and -37
  No swap needed
  Compare -37 and -47
  Swap -37 and -47
  List after swap: [-91, -47, -37, -27, -100, 7, 35, 75]
  Compare -37 and -27
  No swap needed
  Compare -27 and -100
  Swap -27 and -100
  List after swap: [-91, -47, -37, -100, -27, 7, 35, 75]

Pass 5:
  Compare -91 and -47
  No swap needed
  Compare -47 and -37
  No swap needed
  Compare -37 and -100
  Swap -37 and -100
  List after swap: [-91, -47, -100, -37, -27, 7, 35, 75]

Pass 6:
  Compare -91 and -47
  No swap needed
  Compare -47 and -100
  Swap -47 and -100
  List after swap: [-91, -100, -47, -37, -27, 7, 35, 75]

Pass 7:
  Compare -91 and -100
  Swap -91 and -100
  List after swap: [-100, -91, -47, -37, -27, 7, 35, 75]

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

Final sorted list: [-100, -91, -47, -37, -27, 7, 35, 75]
</think>

<response>-100, -91, -47, -37, -27, 7, 35, 75</response>


input: Use the bubble sort technique to reorder -30, -71, -47, 69, -25, 87, -61, 24 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-30, -71, -47, 69, -25, 87, -61, 24]

Pass 1:
  Compare -30 and -71
  Swap -30 and -71
  List after swap: [-71, -30, -47, 69, -25, 87, -61, 24]
  Compare -30 and -47
  Swap -30 and -47
  List after swap: [-71, -47, -30, 69, -25, 87, -61, 24]
  Compare -30 and 69
  No swap needed
  Compare 69 and -25
  Swap 69 and -25
  List after swap: [-71, -47, -30, -25, 69, 87, -61, 24]
  Compare 69 and 87
  No swap needed
  Compare 87 and -61
  Swap 87 and -61
  List after swap: [-71, -47, -30, -25, 69, -61, 87, 24]
  Compare 87 and 24
  Swap 87 and 24
  List after swap: [-71, -47, -30, -25, 69, -61, 24, 87]

Pass 2:
  Compare -71 and -47
  No swap needed
  Compare -47 and -30
  No swap needed
  Compare -30 and -25
  No swap needed
  Compare -25 and 69
  No swap needed
  Compare 69 and -61
  Swap 69 and -61
  List after swap: [-71, -47, -30, -25, -61, 69, 24, 87]
  Compare 69 and 24
  Swap 69 and 24
  List after swap: [-71, -47, -30, -25, -61, 24, 69, 87]

Pass 3:
  Compare -71 and -47
  No swap needed
  Compare -47 and -30
  No swap needed
  Compare -30 and -25
  No swap needed
  Compare -25 and -61
  Swap -25 and -61
  List after swap: [-71, -47, -30, -61, -25, 24, 69, 87]
  Compare -25 and 24
  No swap needed

Pass 4:
  Compare -71 and -47
  No swap needed
  Compare -47 and -30
  No swap needed
  Compare -30 and -61
  Swap -30 and -61
  List after swap: [-71, -47, -61, -30, -25, 24, 69, 87]
  Compare -30 and -25
  No swap needed

Pass 5:
  Compare -71 and -47
  No swap needed
  Compare -47 and -61
  Swap -47 and -61
  List after swap: [-71, -61, -47, -30, -25, 24, 69, 87]
  Compare -47 and -30
  No swap needed

Pass 6:
  Compare -71 and -61
  No swap needed
  Compare -61 and -47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -61, -47, -30, -25, 24, 69, 87]
</think>

<response>-71, -61, -47, -30, -25, 24, 69, 87</response>


input: Arrange the numbers 84, -47, -61, -57, 78, -5, 6, -65 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [84, -47, -61, -57, 78, -5, 6, -65]

Pass 1:
  Compare 84 and -47
  Swap 84 and -47
  List after swap: [-47, 84, -61, -57, 78, -5, 6, -65]
  Compare 84 and -61
  Swap 84 and -61
  List after swap: [-47, -61, 84, -57, 78, -5, 6, -65]
  Compare 84 and -57
  Swap 84 and -57
  List after swap: [-47, -61, -57, 84, 78, -5, 6, -65]
  Compare 84 and 78
  Swap 84 and 78
  List after swap: [-47, -61, -57, 78, 84, -5, 6, -65]
  Compare 84 and -5
  Swap 84 and -5
  List after swap: [-47, -61, -57, 78, -5, 84, 6, -65]
  Compare 84 and 6
  Swap 84 and 6
  List after swap: [-47, -61, -57, 78, -5, 6, 84, -65]
  Compare 84 and -65
  Swap 84 and -65
  List after swap: [-47, -61, -57, 78, -5, 6, -65, 84]

Pass 2:
  Compare -47 and -61
  Swap -47 and -61
  List after swap: [-61, -47, -57, 78, -5, 6, -65, 84]
  Compare -47 and -57
  Swap -47 and -57
  List after swap: [-61, -57, -47, 78, -5, 6, -65, 84]
  Compare -47 and 78
  No swap needed
  Compare 78 and -5
  Swap 78 and -5
  List after swap: [-61, -57, -47, -5, 78, 6, -65, 84]
  Compare 78 and 6
  Swap 78 and 6
  List after swap: [-61, -57, -47, -5, 6, 78, -65, 84]
  Compare 78 and -65
  Swap 78 and -65
  List after swap: [-61, -57, -47, -5, 6, -65, 78, 84]

Pass 3:
  Compare -61 and -57
  No swap needed
  Compare -57 and -47
  No swap needed
  Compare -47 and -5
  No swap needed
  Compare -5 and 6
  No swap needed
  Compare 6 and -65
  Swap 6 and -65
  List after swap: [-61, -57, -47, -5, -65, 6, 78, 84]

Pass 4:
  Compare -61 and -57
  No swap needed
  Compare -57 and -47
  No swap needed
  Compare -47 and -5
  No swap needed
  Compare -5 and -65
  Swap -5 and -65
  List after swap: [-61, -57, -47, -65, -5, 6, 78, 84]

Pass 5:
  Compare -61 and -57
  No swap needed
  Compare -57 and -47
  No swap needed
  Compare -47 and -65
  Swap -47 and -65
  List after swap: [-61, -57, -65, -47, -5, 6, 78, 84]

Pass 6:
  Compare -61 and -57
  No swap needed
  Compare -57 and -65
  Swap -57 and -65
  List after swap: [-61, -65, -57, -47, -5, 6, 78, 84]

Pass 7:
  Compare -61 and -65
  Swap -61 and -65
  List after swap: [-65, -61, -57, -47, -5, 6, 78, 84]

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

Final sorted list: [-65, -61, -57, -47, -5, 6, 78, 84]
</think>

<response>-65, -61, -57, -47, -5, 6, 78, 84</response>


input: Demonstrate how bubble sort orders the integers 39, -99, -75, 74, 36, 10 in ascending sequence, showing all steps.

output:
<think>
Initial list: [39, -99, -75, 74, 36, 10]

Pass 1:
  Compare 39 and -99
  Swap 39 and -99
  List after swap: [-99, 39, -75, 74, 36, 10]
  Compare 39 and -75
  Swap 39 and -75
  List after swap: [-99, -75, 39, 74, 36, 10]
  Compare 39 and 74
  No swap needed
  Compare 74 and 36
  Swap 74 and 36
  List after swap: [-99, -75, 39, 36, 74, 10]
  Compare 74 and 10
  Swap 74 and 10
  List after swap: [-99, -75, 39, 36, 10, 74]

Pass 2:
  Compare -99 and -75
  No swap needed
  Compare -75 and 39
  No swap needed
  Compare 39 and 36
  Swap 39 and 36
  List after swap: [-99, -75, 36, 39, 10, 74]
  Compare 39 and 10
  Swap 39 and 10
  List after swap: [-99, -75, 36, 10, 39, 74]

Pass 3:
  Compare -99 and -75
  No swap needed
  Compare -75 and 36
  No swap needed
  Compare 36 and 10
  Swap 36 and 10
  List after swap: [-99, -75, 10, 36, 39, 74]

Pass 4:
  Compare -99 and -75
  No swap needed
  Compare -75 and 10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -75, 10, 36, 39, 74]
</think>

<response>-99, -75, 10, 36, 39, 74</response>


input: Implement bubble sort on 10, 9, -21, -19 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [10, 9, -21, -19]

Pass 1:
  Compare 10 and 9
  Swap 10 and 9
  List after swap: [9, 10, -21, -19]
  Compare 10 and -21
  Swap 10 and -21
  List after swap: [9, -21, 10, -19]
  Compare 10 and -19
  Swap 10 and -19
  List after swap: [9, -21, -19, 10]

Pass 2:
  Compare 9 and -21
  Swap 9 and -21
  List after swap: [-21, 9, -19, 10]
  Compare 9 and -19
  Swap 9 and -19
  List after swap: [-21, -19, 9, 10]

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

Final sorted list: [-21, -19, 9, 10]
</think>

<response>-21, -19, 9, 10</response>


input: Demonstrate how bubble sort orders the integers 85, 51, 99, 14, 59, 41, -30, -41 in ascending sequence, showing all steps.

output:
<think>
Initial list: [85, 51, 99, 14, 59, 41, -30, -41]

Pass 1:
  Compare 85 and 51
  Swap 85 and 51
  List after swap: [51, 85, 99, 14, 59, 41, -30, -41]
  Compare 85 and 99
  No swap needed
  Compare 99 and 14
  Swap 99 and 14
  List after swap: [51, 85, 14, 99, 59, 41, -30, -41]
  Compare 99 and 59
  Swap 99 and 59
  List after swap: [51, 85, 14, 59, 99, 41, -30, -41]
  Compare 99 and 41
  Swap 99 and 41
  List after swap: [51, 85, 14, 59, 41, 99, -30, -41]
  Compare 99 and -30
  Swap 99 and -30
  List after swap: [51, 85, 14, 59, 41, -30, 99, -41]
  Compare 99 and -41
  Swap 99 and -41
  List after swap: [51, 85, 14, 59, 41, -30, -41, 99]

Pass 2:
  Compare 51 and 85
  No swap needed
  Compare 85 and 14
  Swap 85 and 14
  List after swap: [51, 14, 85, 59, 41, -30, -41, 99]
  Compare 85 and 59
  Swap 85 and 59
  List after swap: [51, 14, 59, 85, 41, -30, -41, 99]
  Compare 85 and 41
  Swap 85 and 41
  List after swap: [51, 14, 59, 41, 85, -30, -41, 99]
  Compare 85 and -30
  Swap 85 and -30
  List after swap: [51, 14, 59, 41, -30, 85, -41, 99]
  Compare 85 and -41
  Swap 85 and -41
  List after swap: [51, 14, 59, 41, -30, -41, 85, 99]

Pass 3:
  Compare 51 and 14
  Swap 51 and 14
  List after swap: [14, 51, 59, 41, -30, -41, 85, 99]
  Compare 51 and 59
  No swap needed
  Compare 59 and 41
  Swap 59 and 41
  List after swap: [14, 51, 41, 59, -30, -41, 85, 99]
  Compare 59 and -30
  Swap 59 and -30
  List after swap: [14, 51, 41, -30, 59, -41, 85, 99]
  Compare 59 and -41
  Swap 59 and -41
  List after swap: [14, 51, 41, -30, -41, 59, 85, 99]

Pass 4:
  Compare 14 and 51
  No swap needed
  Compare 51 and 41
  Swap 51 and 41
  List after swap: [14, 41, 51, -30, -41, 59, 85, 99]
  Compare 51 and -30
  Swap 51 and -30
  List after swap: [14, 41, -30, 51, -41, 59, 85, 99]
  Compare 51 and -41
  Swap 51 and -41
  List after swap: [14, 41, -30, -41, 51, 59, 85, 99]

Pass 5:
  Compare 14 and 41
  No swap needed
  Compare 41 and -30
  Swap 41 and -30
  List after swap: [14, -30, 41, -41, 51, 59, 85, 99]
  Compare 41 and -41
  Swap 41 and -41
  List after swap: [14, -30, -41, 41, 51, 59, 85, 99]

Pass 6:
  Compare 14 and -30
  Swap 14 and -30
  List after swap: [-30, 14, -41, 41, 51, 59, 85, 99]
  Compare 14 and -41
  Swap 14 and -41
  List after swap: [-30, -41, 14, 41, 51, 59, 85, 99]

Pass 7:
  Compare -30 and -41
  Swap -30 and -41
  List after swap: [-41, -30, 14, 41, 51, 59, 85, 99]

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

Final sorted list: [-41, -30, 14, 41, 51, 59, 85, 99]
</think>

<response>-41, -30, 14, 41, 51, 59, 85, 99</response>


input: Use the bubble sort technique to reorder -21, 5, -3, -61, -28, -67, -98, 81, -23 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-21, 5, -3, -61, -28, -67, -98, 81, -23]

Pass 1:
  Compare -21 and 5
  No swap needed
  Compare 5 and -3
  Swap 5 and -3
  List after swap: [-21, -3, 5, -61, -28, -67, -98, 81, -23]
  Compare 5 and -61
  Swap 5 and -61
  List after swap: [-21, -3, -61, 5, -28, -67, -98, 81, -23]
  Compare 5 and -28
  Swap 5 and -28
  List after swap: [-21, -3, -61, -28, 5, -67, -98, 81, -23]
  Compare 5 and -67
  Swap 5 and -67
  List after swap: [-21, -3, -61, -28, -67, 5, -98, 81, -23]
  Compare 5 and -98
  Swap 5 and -98
  List after swap: [-21, -3, -61, -28, -67, -98, 5, 81, -23]
  Compare 5 and 81
  No swap needed
  Compare 81 and -23
  Swap 81 and -23
  List after swap: [-21, -3, -61, -28, -67, -98, 5, -23, 81]

Pass 2:
  Compare -21 and -3
  No swap needed
  Compare -3 and -61
  Swap -3 and -61
  List after swap: [-21, -61, -3, -28, -67, -98, 5, -23, 81]
  Compare -3 and -28
  Swap -3 and -28
  List after swap: [-21, -61, -28, -3, -67, -98, 5, -23, 81]
  Compare -3 and -67
  Swap -3 and -67
  List after swap: [-21, -61, -28, -67, -3, -98, 5, -23, 81]
  Compare -3 and -98
  Swap -3 and -98
  List after swap: [-21, -61, -28, -67, -98, -3, 5, -23, 81]
  Compare -3 and 5
  No swap needed
  Compare 5 and -23
  Swap 5 and -23
  List after swap: [-21, -61, -28, -67, -98, -3, -23, 5, 81]

Pass 3:
  Compare -21 and -61
  Swap -21 and -61
  List after swap: [-61, -21, -28, -67, -98, -3, -23, 5, 81]
  Compare -21 and -28
  Swap -21 and -28
  List after swap: [-61, -28, -21, -67, -98, -3, -23, 5, 81]
  Compare -21 and -67
  Swap -21 and -67
  List after swap: [-61, -28, -67, -21, -98, -3, -23, 5, 81]
  Compare -21 and -98
  Swap -21 and -98
  List after swap: [-61, -28, -67, -98, -21, -3, -23, 5, 81]
  Compare -21 and -3
  No swap needed
  Compare -3 and -23
  Swap -3 and -23
  List after swap: [-61, -28, -67, -98, -21, -23, -3, 5, 81]

Pass 4:
  Compare -61 and -28
  No swap needed
  Compare -28 and -67
  Swap -28 and -67
  List after swap: [-61, -67, -28, -98, -21, -23, -3, 5, 81]
  Compare -28 and -98
  Swap -28 and -98
  List after swap: [-61, -67, -98, -28, -21, -23, -3, 5, 81]
  Compare -28 and -21
  No swap needed
  Compare -21 and -23
  Swap -21 and -23
  List after swap: [-61, -67, -98, -28, -23, -21, -3, 5, 81]

Pass 5:
  Compare -61 and -67
  Swap -61 and -67
  List after swap: [-67, -61, -98, -28, -23, -21, -3, 5, 81]
  Compare -61 and -98
  Swap -61 and -98
  List after swap: [-67, -98, -61, -28, -23, -21, -3, 5, 81]
  Compare -61 and -28
  No swap needed
  Compare -28 and -23
  No swap needed

Pass 6:
  Compare -67 and -98
  Swap -67 and -98
  List after swap: [-98, -67, -61, -28, -23, -21, -3, 5, 81]
  Compare -67 and -61
  No swap needed
  Compare -61 and -28
  No swap needed

Pass 7:
  Compare -98 and -67
  No swap needed
  Compare -67 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -67, -61, -28, -23, -21, -3, 5, 81]
</think>

<response>-98, -67, -61, -28, -23, -21, -3, 5, 81</response>


input: Demonstrate how bubble sort orders the integers 7, -27, 50, 2, -77 in ascending sequence, showing all steps.

output:
<think>
Initial list: [7, -27, 50, 2, -77]

Pass 1:
  Compare 7 and -27
  Swap 7 and -27
  List after swap: [-27, 7, 50, 2, -77]
  Compare 7 and 50
  No swap needed
  Compare 50 and 2
  Swap 50 and 2
  List after swap: [-27, 7, 2, 50, -77]
  Compare 50 and -77
  Swap 50 and -77
  List after swap: [-27, 7, 2, -77, 50]

Pass 2:
  Compare -27 and 7
  No swap needed
  Compare 7 and 2
  Swap 7 and 2
  List after swap: [-27, 2, 7, -77, 50]
  Compare 7 and -77
  Swap 7 and -77
  List after swap: [-27, 2, -77, 7, 50]

Pass 3:
  Compare -27 and 2
  No swap needed
  Compare 2 and -77
  Swap 2 and -77
  List after swap: [-27, -77, 2, 7, 50]

Pass 4:
  Compare -27 and -77
  Swap -27 and -77
  List after swap: [-77, -27, 2, 7, 50]

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

Final sorted list: [-77, -27, 2, 7, 50]
</think>

<response>-77, -27, 2, 7, 50</response>


input: Sort the list 3, 57, 84, -29, 24, -6, -72, -37, 41, 36 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [3, 57, 84, -29, 24, -6, -72, -37, 41, 36]

Pass 1:
  Compare 3 and 57
  No swap needed
  Compare 57 and 84
  No swap needed
  Compare 84 and -29
  Swap 84 and -29
  List after swap: [3, 57, -29, 84, 24, -6, -72, -37, 41, 36]
  Compare 84 and 24
  Swap 84 and 24
  List after swap: [3, 57, -29, 24, 84, -6, -72, -37, 41, 36]
  Compare 84 and -6
  Swap 84 and -6
  List after swap: [3, 57, -29, 24, -6, 84, -72, -37, 41, 36]
  Compare 84 and -72
  Swap 84 and -72
  List after swap: [3, 57, -29, 24, -6, -72, 84, -37, 41, 36]
  Compare 84 and -37
  Swap 84 and -37
  List after swap: [3, 57, -29, 24, -6, -72, -37, 84, 41, 36]
  Compare 84 and 41
  Swap 84 and 41
  List after swap: [3, 57, -29, 24, -6, -72, -37, 41, 84, 36]
  Compare 84 and 36
  Swap 84 and 36
  List after swap: [3, 57, -29, 24, -6, -72, -37, 41, 36, 84]

Pass 2:
  Compare 3 and 57
  No swap needed
  Compare 57 and -29
  Swap 57 and -29
  List after swap: [3, -29, 57, 24, -6, -72, -37, 41, 36, 84]
  Compare 57 and 24
  Swap 57 and 24
  List after swap: [3, -29, 24, 57, -6, -72, -37, 41, 36, 84]
  Compare 57 and -6
  Swap 57 and -6
  List after swap: [3, -29, 24, -6, 57, -72, -37, 41, 36, 84]
  Compare 57 and -72
  Swap 57 and -72
  List after swap: [3, -29, 24, -6, -72, 57, -37, 41, 36, 84]
  Compare 57 and -37
  Swap 57 and -37
  List after swap: [3, -29, 24, -6, -72, -37, 57, 41, 36, 84]
  Compare 57 and 41
  Swap 57 and 41
  List after swap: [3, -29, 24, -6, -72, -37, 41, 57, 36, 84]
  Compare 57 and 36
  Swap 57 and 36
  List after swap: [3, -29, 24, -6, -72, -37, 41, 36, 57, 84]

Pass 3:
  Compare 3 and -29
  Swap 3 and -29
  List after swap: [-29, 3, 24, -6, -72, -37, 41, 36, 57, 84]
  Compare 3 and 24
  No swap needed
  Compare 24 and -6
  Swap 24 and -6
  List after swap: [-29, 3, -6, 24, -72, -37, 41, 36, 57, 84]
  Compare 24 and -72
  Swap 24 and -72
  List after swap: [-29, 3, -6, -72, 24, -37, 41, 36, 57, 84]
  Compare 24 and -37
  Swap 24 and -37
  List after swap: [-29, 3, -6, -72, -37, 24, 41, 36, 57, 84]
  Compare 24 and 41
  No swap needed
  Compare 41 and 36
  Swap 41 and 36
  List after swap: [-29, 3, -6, -72, -37, 24, 36, 41, 57, 84]

Pass 4:
  Compare -29 and 3
  No swap needed
  Compare 3 and -6
  Swap 3 and -6
  List after swap: [-29, -6, 3, -72, -37, 24, 36, 41, 57, 84]
  Compare 3 and -72
  Swap 3 and -72
  List after swap: [-29, -6, -72, 3, -37, 24, 36, 41, 57, 84]
  Compare 3 and -37
  Swap 3 and -37
  List after swap: [-29, -6, -72, -37, 3, 24, 36, 41, 57, 84]
  Compare 3 and 24
  No swap needed
  Compare 24 and 36
  No swap needed

Pass 5:
  Compare -29 and -6
  No swap needed
  Compare -6 and -72
  Swap -6 and -72
  List after swap: [-29, -72, -6, -37, 3, 24, 36, 41, 57, 84]
  Compare -6 and -37
  Swap -6 and -37
  List after swap: [-29, -72, -37, -6, 3, 24, 36, 41, 57, 84]
  Compare -6 and 3
  No swap needed
  Compare 3 and 24
  No swap needed

Pass 6:
  Compare -29 and -72
  Swap -29 and -72
  List after swap: [-72, -29, -37, -6, 3, 24, 36, 41, 57, 84]
  Compare -29 and -37
  Swap -29 and -37
  List after swap: [-72, -37, -29, -6, 3, 24, 36, 41, 57, 84]
  Compare -29 and -6
  No swap needed
  Compare -6 and 3
  No swap needed

Pass 7:
  Compare -72 and -37
  No swap needed
  Compare -37 and -29
  No swap needed
  Compare -29 and -6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -37, -29, -6, 3, 24, 36, 41, 57, 84]
</think>

<response>-72, -37, -29, -6, 3, 24, 36, 41, 57, 84</response>


input: Implement bubble sort on -1, 39, 50, -34, 47, -78, 4, 91 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-1, 39, 50, -34, 47, -78, 4, 91]

Pass 1:
  Compare -1 and 39
  No swap needed
  Compare 39 and 50
  No swap needed
  Compare 50 and -34
  Swap 50 and -34
  List after swap: [-1, 39, -34, 50, 47, -78, 4, 91]
  Compare 50 and 47
  Swap 50 and 47
  List after swap: [-1, 39, -34, 47, 50, -78, 4, 91]
  Compare 50 and -78
  Swap 50 and -78
  List after swap: [-1, 39, -34, 47, -78, 50, 4, 91]
  Compare 50 and 4
  Swap 50 and 4
  List after swap: [-1, 39, -34, 47, -78, 4, 50, 91]
  Compare 50 and 91
  No swap needed

Pass 2:
  Compare -1 and 39
  No swap needed
  Compare 39 and -34
  Swap 39 and -34
  List after swap: [-1, -34, 39, 47, -78, 4, 50, 91]
  Compare 39 and 47
  No swap needed
  Compare 47 and -78
  Swap 47 and -78
  List after swap: [-1, -34, 39, -78, 47, 4, 50, 91]
  Compare 47 and 4
  Swap 47 and 4
  List after swap: [-1, -34, 39, -78, 4, 47, 50, 91]
  Compare 47 and 50
  No swap needed

Pass 3:
  Compare -1 and -34
  Swap -1 and -34
  List after swap: [-34, -1, 39, -78, 4, 47, 50, 91]
  Compare -1 and 39
  No swap needed
  Compare 39 and -78
  Swap 39 and -78
  List after swap: [-34, -1, -78, 39, 4, 47, 50, 91]
  Compare 39 and 4
  Swap 39 and 4
  List after swap: [-34, -1, -78, 4, 39, 47, 50, 91]
  Compare 39 and 47
  No swap needed

Pass 4:
  Compare -34 and -1
  No swap needed
  Compare -1 and -78
  Swap -1 and -78
  List after swap: [-34, -78, -1, 4, 39, 47, 50, 91]
  Compare -1 and 4
  No swap needed
  Compare 4 and 39
  No swap needed

Pass 5:
  Compare -34 and -78
  Swap -34 and -78
  List after swap: [-78, -34, -1, 4, 39, 47, 50, 91]
  Compare -34 and -1
  No swap needed
  Compare -1 and 4
  No swap needed

Pass 6:
  Compare -78 and -34
  No swap needed
  Compare -34 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -34, -1, 4, 39, 47, 50, 91]
</think>

<response>-78, -34, -1, 4, 39, 47, 50, 91</response>


input: Execute bubble sort to sort 17, -71, -61, 79, 42, -69, 94, 29, -24, 15 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [17, -71, -61, 79, 42, -69, 94, 29, -24, 15]

Pass 1:
  Compare 17 and -71
  Swap 17 and -71
  List after swap: [-71, 17, -61, 79, 42, -69, 94, 29, -24, 15]
  Compare 17 and -61
  Swap 17 and -61
  List after swap: [-71, -61, 17, 79, 42, -69, 94, 29, -24, 15]
  Compare 17 and 79
  No swap needed
  Compare 79 and 42
  Swap 79 and 42
  List after swap: [-71, -61, 17, 42, 79, -69, 94, 29, -24, 15]
  Compare 79 and -69
  Swap 79 and -69
  List after swap: [-71, -61, 17, 42, -69, 79, 94, 29, -24, 15]
  Compare 79 and 94
  No swap needed
  Compare 94 and 29
  Swap 94 and 29
  List after swap: [-71, -61, 17, 42, -69, 79, 29, 94, -24, 15]
  Compare 94 and -24
  Swap 94 and -24
  List after swap: [-71, -61, 17, 42, -69, 79, 29, -24, 94, 15]
  Compare 94 and 15
  Swap 94 and 15
  List after swap: [-71, -61, 17, 42, -69, 79, 29, -24, 15, 94]

Pass 2:
  Compare -71 and -61
  No swap needed
  Compare -61 and 17
  No swap needed
  Compare 17 and 42
  No swap needed
  Compare 42 and -69
  Swap 42 and -69
  List after swap: [-71, -61, 17, -69, 42, 79, 29, -24, 15, 94]
  Compare 42 and 79
  No swap needed
  Compare 79 and 29
  Swap 79 and 29
  List after swap: [-71, -61, 17, -69, 42, 29, 79, -24, 15, 94]
  Compare 79 and -24
  Swap 79 and -24
  List after swap: [-71, -61, 17, -69, 42, 29, -24, 79, 15, 94]
  Compare 79 and 15
  Swap 79 and 15
  List after swap: [-71, -61, 17, -69, 42, 29, -24, 15, 79, 94]

Pass 3:
  Compare -71 and -61
  No swap needed
  Compare -61 and 17
  No swap needed
  Compare 17 and -69
  Swap 17 and -69
  List after swap: [-71, -61, -69, 17, 42, 29, -24, 15, 79, 94]
  Compare 17 and 42
  No swap needed
  Compare 42 and 29
  Swap 42 and 29
  List after swap: [-71, -61, -69, 17, 29, 42, -24, 15, 79, 94]
  Compare 42 and -24
  Swap 42 and -24
  List after swap: [-71, -61, -69, 17, 29, -24, 42, 15, 79, 94]
  Compare 42 and 15
  Swap 42 and 15
  List after swap: [-71, -61, -69, 17, 29, -24, 15, 42, 79, 94]

Pass 4:
  Compare -71 and -61
  No swap needed
  Compare -61 and -69
  Swap -61 and -69
  List after swap: [-71, -69, -61, 17, 29, -24, 15, 42, 79, 94]
  Compare -61 and 17
  No swap needed
  Compare 17 and 29
  No swap needed
  Compare 29 and -24
  Swap 29 and -24
  List after swap: [-71, -69, -61, 17, -24, 29, 15, 42, 79, 94]
  Compare 29 and 15
  Swap 29 and 15
  List after swap: [-71, -69, -61, 17, -24, 15, 29, 42, 79, 94]

Pass 5:
  Compare -71 and -69
  No swap needed
  Compare -69 and -61
  No swap needed
  Compare -61 and 17
  No swap needed
  Compare 17 and -24
  Swap 17 and -24
  List after swap: [-71, -69, -61, -24, 17, 15, 29, 42, 79, 94]
  Compare 17 and 15
  Swap 17 and 15
  List after swap: [-71, -69, -61, -24, 15, 17, 29, 42, 79, 94]

Pass 6:
  Compare -71 and -69
  No swap needed
  Compare -69 and -61
  No swap needed
  Compare -61 and -24
  No swap needed
  Compare -24 and 15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -69, -61, -24, 15, 17, 29, 42, 79, 94]
</think>

<response>-71, -69, -61, -24, 15, 17, 29, 42, 79, 94</response>


input: Execute bubble sort to sort 96, -29, 32, 33, -100, -40 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [96, -29, 32, 33, -100, -40]

Pass 1:
  Compare 96 and -29
  Swap 96 and -29
  List after swap: [-29, 96, 32, 33, -100, -40]
  Compare 96 and 32
  Swap 96 and 32
  List after swap: [-29, 32, 96, 33, -100, -40]
  Compare 96 and 33
  Swap 96 and 33
  List after swap: [-29, 32, 33, 96, -100, -40]
  Compare 96 and -100
  Swap 96 and -100
  List after swap: [-29, 32, 33, -100, 96, -40]
  Compare 96 and -40
  Swap 96 and -40
  List after swap: [-29, 32, 33, -100, -40, 96]

Pass 2:
  Compare -29 and 32
  No swap needed
  Compare 32 and 33
  No swap needed
  Compare 33 and -100
  Swap 33 and -100
  List after swap: [-29, 32, -100, 33, -40, 96]
  Compare 33 and -40
  Swap 33 and -40
  List after swap: [-29, 32, -100, -40, 33, 96]

Pass 3:
  Compare -29 and 32
  No swap needed
  Compare 32 and -100
  Swap 32 and -100
  List after swap: [-29, -100, 32, -40, 33, 96]
  Compare 32 and -40
  Swap 32 and -40
  List after swap: [-29, -100, -40, 32, 33, 96]

Pass 4:
  Compare -29 and -100
  Swap -29 and -100
  List after swap: [-100, -29, -40, 32, 33, 96]
  Compare -29 and -40
  Swap -29 and -40
  List after swap: [-100, -40, -29, 32, 33, 96]

Pass 5:
  Compare -100 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -40, -29, 32, 33, 96]
</think>

<response>-100, -40, -29, 32, 33, 96</response>


input: Use the bubble sort technique to reorder 39, -66, 64, -67, 55, -98, 82 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [39, -66, 64, -67, 55, -98, 82]

Pass 1:
  Compare 39 and -66
  Swap 39 and -66
  List after swap: [-66, 39, 64, -67, 55, -98, 82]
  Compare 39 and 64
  No swap needed
  Compare 64 and -67
  Swap 64 and -67
  List after swap: [-66, 39, -67, 64, 55, -98, 82]
  Compare 64 and 55
  Swap 64 and 55
  List after swap: [-66, 39, -67, 55, 64, -98, 82]
  Compare 64 and -98
  Swap 64 and -98
  List after swap: [-66, 39, -67, 55, -98, 64, 82]
  Compare 64 and 82
  No swap needed

Pass 2:
  Compare -66 and 39
  No swap needed
  Compare 39 and -67
  Swap 39 and -67
  List after swap: [-66, -67, 39, 55, -98, 64, 82]
  Compare 39 and 55
  No swap needed
  Compare 55 and -98
  Swap 55 and -98
  List after swap: [-66, -67, 39, -98, 55, 64, 82]
  Compare 55 and 64
  No swap needed

Pass 3:
  Compare -66 and -67
  Swap -66 and -67
  List after swap: [-67, -66, 39, -98, 55, 64, 82]
  Compare -66 and 39
  No swap needed
  Compare 39 and -98
  Swap 39 and -98
  List after swap: [-67, -66, -98, 39, 55, 64, 82]
  Compare 39 and 55
  No swap needed

Pass 4:
  Compare -67 and -66
  No swap needed
  Compare -66 and -98
  Swap -66 and -98
  List after swap: [-67, -98, -66, 39, 55, 64, 82]
  Compare -66 and 39
  No swap needed

Pass 5:
  Compare -67 and -98
  Swap -67 and -98
  List after swap: [-98, -67, -66, 39, 55, 64, 82]
  Compare -67 and -66
  No swap needed

Pass 6:
  Compare -98 and -67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -67, -66, 39, 55, 64, 82]
</think>

<response>-98, -67, -66, 39, 55, 64, 82</response>


input: Implement bubble sort on -93, 71, 85, 96, -30 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-93, 71, 85, 96, -30]

Pass 1:
  Compare -93 and 71
  No swap needed
  Compare 71 and 85
  No swap needed
  Compare 85 and 96
  No swap needed
  Compare 96 and -30
  Swap 96 and -30
  List after swap: [-93, 71, 85, -30, 96]

Pass 2:
  Compare -93 and 71
  No swap needed
  Compare 71 and 85
  No swap needed
  Compare 85 and -30
  Swap 85 and -30
  List after swap: [-93, 71, -30, 85, 96]

Pass 3:
  Compare -93 and 71
  No swap needed
  Compare 71 and -30
  Swap 71 and -30
  List after swap: [-93, -30, 71, 85, 96]

Pass 4:
  Compare -93 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -30, 71, 85, 96]
</think>

<response>-93, -30, 71, 85, 96</response>


input: Perform a bubble sort on the integers 46, -54, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [46, -54]

Pass 1:
  Compare 46 and -54
  Swap 46 and -54
  List after swap: [-54, 46]

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

Final sorted list: [-54, 46]
</think>

<response>-54, 46</response>


input: Sort the list 84, -23, 93, -74, -58, 19, 95 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [84, -23, 93, -74, -58, 19, 95]

Pass 1:
  Compare 84 and -23
  Swap 84 and -23
  List after swap: [-23, 84, 93, -74, -58, 19, 95]
  Compare 84 and 93
  No swap needed
  Compare 93 and -74
  Swap 93 and -74
  List after swap: [-23, 84, -74, 93, -58, 19, 95]
  Compare 93 and -58
  Swap 93 and -58
  List after swap: [-23, 84, -74, -58, 93, 19, 95]
  Compare 93 and 19
  Swap 93 and 19
  List after swap: [-23, 84, -74, -58, 19, 93, 95]
  Compare 93 and 95
  No swap needed

Pass 2:
  Compare -23 and 84
  No swap needed
  Compare 84 and -74
  Swap 84 and -74
  List after swap: [-23, -74, 84, -58, 19, 93, 95]
  Compare 84 and -58
  Swap 84 and -58
  List after swap: [-23, -74, -58, 84, 19, 93, 95]
  Compare 84 and 19
  Swap 84 and 19
  List after swap: [-23, -74, -58, 19, 84, 93, 95]
  Compare 84 and 93
  No swap needed

Pass 3:
  Compare -23 and -74
  Swap -23 and -74
  List after swap: [-74, -23, -58, 19, 84, 93, 95]
  Compare -23 and -58
  Swap -23 and -58
  List after swap: [-74, -58, -23, 19, 84, 93, 95]
  Compare -23 and 19
  No swap needed
  Compare 19 and 84
  No swap needed

Pass 4:
  Compare -74 and -58
  No swap needed
  Compare -58 and -23
  No swap needed
  Compare -23 and 19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -58, -23, 19, 84, 93, 95]
</think>

<response>-74, -58, -23, 19, 84, 93, 95</response>


input: Carry out the bubble sort algorithm on 44, 34, 27 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [44, 34, 27]

Pass 1:
  Compare 44 and 34
  Swap 44 and 34
  List after swap: [34, 44, 27]
  Compare 44 and 27
  Swap 44 and 27
  List after swap: [34, 27, 44]

Pass 2:
  Compare 34 and 27
  Swap 34 and 27
  List after swap: [27, 34, 44]

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

Final sorted list: [27, 34, 44]
</think>

<response>27, 34, 44</response>


input: Sort these integers 85, 65 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [85, 65]

Pass 1:
  Compare 85 and 65
  Swap 85 and 65
  List after swap: [65, 85]

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

Final sorted list: [65, 85]
</think>

<response>65, 85</response>


input: Perform a bubble sort on the integers 71, 36, 64, 30, 14, -65, -72, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [71, 36, 64, 30, 14, -65, -72]

Pass 1:
  Compare 71 and 36
  Swap 71 and 36
  List after swap: [36, 71, 64, 30, 14, -65, -72]
  Compare 71 and 64
  Swap 71 and 64
  List after swap: [36, 64, 71, 30, 14, -65, -72]
  Compare 71 and 30
  Swap 71 and 30
  List after swap: [36, 64, 30, 71, 14, -65, -72]
  Compare 71 and 14
  Swap 71 and 14
  List after swap: [36, 64, 30, 14, 71, -65, -72]
  Compare 71 and -65
  Swap 71 and -65
  List after swap: [36, 64, 30, 14, -65, 71, -72]
  Compare 71 and -72
  Swap 71 and -72
  List after swap: [36, 64, 30, 14, -65, -72, 71]

Pass 2:
  Compare 36 and 64
  No swap needed
  Compare 64 and 30
  Swap 64 and 30
  List after swap: [36, 30, 64, 14, -65, -72, 71]
  Compare 64 and 14
  Swap 64 and 14
  List after swap: [36, 30, 14, 64, -65, -72, 71]
  Compare 64 and -65
  Swap 64 and -65
  List after swap: [36, 30, 14, -65, 64, -72, 71]
  Compare 64 and -72
  Swap 64 and -72
  List after swap: [36, 30, 14, -65, -72, 64, 71]

Pass 3:
  Compare 36 and 30
  Swap 36 and 30
  List after swap: [30, 36, 14, -65, -72, 64, 71]
  Compare 36 and 14
  Swap 36 and 14
  List after swap: [30, 14, 36, -65, -72, 64, 71]
  Compare 36 and -65
  Swap 36 and -65
  List after swap: [30, 14, -65, 36, -72, 64, 71]
  Compare 36 and -72
  Swap 36 and -72
  List after swap: [30, 14, -65, -72, 36, 64, 71]

Pass 4:
  Compare 30 and 14
  Swap 30 and 14
  List after swap: [14, 30, -65, -72, 36, 64, 71]
  Compare 30 and -65
  Swap 30 and -65
  List after swap: [14, -65, 30, -72, 36, 64, 71]
  Compare 30 and -72
  Swap 30 and -72
  List after swap: [14, -65, -72, 30, 36, 64, 71]

Pass 5:
  Compare 14 and -65
  Swap 14 and -65
  List after swap: [-65, 14, -72, 30, 36, 64, 71]
  Compare 14 and -72
  Swap 14 and -72
  List after swap: [-65, -72, 14, 30, 36, 64, 71]

Pass 6:
  Compare -65 and -72
  Swap -65 and -72
  List after swap: [-72, -65, 14, 30, 36, 64, 71]

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

Final sorted list: [-72, -65, 14, 30, 36, 64, 71]
</think>

<response>-72, -65, 14, 30, 36, 64, 71</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -78, 73, 50, -71, 72, -90, 9, -19, 98, 94.

output:
<think>
Initial list: [-78, 73, 50, -71, 72, -90, 9, -19, 98, 94]

Pass 1:
  Compare -78 and 73
  No swap needed
  Compare 73 and 50
  Swap 73 and 50
  List after swap: [-78, 50, 73, -71, 72, -90, 9, -19, 98, 94]
  Compare 73 and -71
  Swap 73 and -71
  List after swap: [-78, 50, -71, 73, 72, -90, 9, -19, 98, 94]
  Compare 73 and 72
  Swap 73 and 72
  List after swap: [-78, 50, -71, 72, 73, -90, 9, -19, 98, 94]
  Compare 73 and -90
  Swap 73 and -90
  List after swap: [-78, 50, -71, 72, -90, 73, 9, -19, 98, 94]
  Compare 73 and 9
  Swap 73 and 9
  List after swap: [-78, 50, -71, 72, -90, 9, 73, -19, 98, 94]
  Compare 73 and -19
  Swap 73 and -19
  List after swap: [-78, 50, -71, 72, -90, 9, -19, 73, 98, 94]
  Compare 73 and 98
  No swap needed
  Compare 98 and 94
  Swap 98 and 94
  List after swap: [-78, 50, -71, 72, -90, 9, -19, 73, 94, 98]

Pass 2:
  Compare -78 and 50
  No swap needed
  Compare 50 and -71
  Swap 50 and -71
  List after swap: [-78, -71, 50, 72, -90, 9, -19, 73, 94, 98]
  Compare 50 and 72
  No swap needed
  Compare 72 and -90
  Swap 72 and -90
  List after swap: [-78, -71, 50, -90, 72, 9, -19, 73, 94, 98]
  Compare 72 and 9
  Swap 72 and 9
  List after swap: [-78, -71, 50, -90, 9, 72, -19, 73, 94, 98]
  Compare 72 and -19
  Swap 72 and -19
  List after swap: [-78, -71, 50, -90, 9, -19, 72, 73, 94, 98]
  Compare 72 and 73
  No swap needed
  Compare 73 and 94
  No swap needed

Pass 3:
  Compare -78 and -71
  No swap needed
  Compare -71 and 50
  No swap needed
  Compare 50 and -90
  Swap 50 and -90
  List after swap: [-78, -71, -90, 50, 9, -19, 72, 73, 94, 98]
  Compare 50 and 9
  Swap 50 and 9
  List after swap: [-78, -71, -90, 9, 50, -19, 72, 73, 94, 98]
  Compare 50 and -19
  Swap 50 and -19
  List after swap: [-78, -71, -90, 9, -19, 50, 72, 73, 94, 98]
  Compare 50 and 72
  No swap needed
  Compare 72 and 73
  No swap needed

Pass 4:
  Compare -78 and -71
  No swap needed
  Compare -71 and -90
  Swap -71 and -90
  List after swap: [-78, -90, -71, 9, -19, 50, 72, 73, 94, 98]
  Compare -71 and 9
  No swap needed
  Compare 9 and -19
  Swap 9 and -19
  List after swap: [-78, -90, -71, -19, 9, 50, 72, 73, 94, 98]
  Compare 9 and 50
  No swap needed
  Compare 50 and 72
  No swap needed

Pass 5:
  Compare -78 and -90
  Swap -78 and -90
  List after swap: [-90, -78, -71, -19, 9, 50, 72, 73, 94, 98]
  Compare -78 and -71
  No swap needed
  Compare -71 and -19
  No swap needed
  Compare -19 and 9
  No swap needed
  Compare 9 and 50
  No swap needed

Pass 6:
  Compare -90 and -78
  No swap needed
  Compare -78 and -71
  No swap needed
  Compare -71 and -19
  No swap needed
  Compare -19 and 9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -78, -71, -19, 9, 50, 72, 73, 94, 98]
</think>

<response>-90, -78, -71, -19, 9, 50, 72, 73, 94, 98</response>


input: Arrange the numbers -82, 3, 56, -96 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-82, 3, 56, -96]

Pass 1:
  Compare -82 and 3
  No swap needed
  Compare 3 and 56
  No swap needed
  Compare 56 and -96
  Swap 56 and -96
  List after swap: [-82, 3, -96, 56]

Pass 2:
  Compare -82 and 3
  No swap needed
  Compare 3 and -96
  Swap 3 and -96
  List after swap: [-82, -96, 3, 56]

Pass 3:
  Compare -82 and -96
  Swap -82 and -96
  List after swap: [-96, -82, 3, 56]

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

Final sorted list: [-96, -82, 3, 56]
</think>

<response>-96, -82, 3, 56</response>


input: Sort these integers -27, -32, 43, 9, 53, -23 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-27, -32, 43, 9, 53, -23]

Pass 1:
  Compare -27 and -32
  Swap -27 and -32
  List after swap: [-32, -27, 43, 9, 53, -23]
  Compare -27 and 43
  No swap needed
  Compare 43 and 9
  Swap 43 and 9
  List after swap: [-32, -27, 9, 43, 53, -23]
  Compare 43 and 53
  No swap needed
  Compare 53 and -23
  Swap 53 and -23
  List after swap: [-32, -27, 9, 43, -23, 53]

Pass 2:
  Compare -32 and -27
  No swap needed
  Compare -27 and 9
  No swap needed
  Compare 9 and 43
  No swap needed
  Compare 43 and -23
  Swap 43 and -23
  List after swap: [-32, -27, 9, -23, 43, 53]

Pass 3:
  Compare -32 and -27
  No swap needed
  Compare -27 and 9
  No swap needed
  Compare 9 and -23
  Swap 9 and -23
  List after swap: [-32, -27, -23, 9, 43, 53]

Pass 4:
  Compare -32 and -27
  No swap needed
  Compare -27 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-32, -27, -23, 9, 43, 53]
</think>

<response>-32, -27, -23, 9, 43, 53</response>