input: Perform a bubble sort on the integers 39, -15, -37, 18, -10, 11, -43, -54, 24, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [39, -15, -37, 18, -10, 11, -43, -54, 24]

Pass 1:
  Compare 39 and -15
  Swap 39 and -15
  List after swap: [-15, 39, -37, 18, -10, 11, -43, -54, 24]
  Compare 39 and -37
  Swap 39 and -37
  List after swap: [-15, -37, 39, 18, -10, 11, -43, -54, 24]
  Compare 39 and 18
  Swap 39 and 18
  List after swap: [-15, -37, 18, 39, -10, 11, -43, -54, 24]
  Compare 39 and -10
  Swap 39 and -10
  List after swap: [-15, -37, 18, -10, 39, 11, -43, -54, 24]
  Compare 39 and 11
  Swap 39 and 11
  List after swap: [-15, -37, 18, -10, 11, 39, -43, -54, 24]
  Compare 39 and -43
  Swap 39 and -43
  List after swap: [-15, -37, 18, -10, 11, -43, 39, -54, 24]
  Compare 39 and -54
  Swap 39 and -54
  List after swap: [-15, -37, 18, -10, 11, -43, -54, 39, 24]
  Compare 39 and 24
  Swap 39 and 24
  List after swap: [-15, -37, 18, -10, 11, -43, -54, 24, 39]

Pass 2:
  Compare -15 and -37
  Swap -15 and -37
  List after swap: [-37, -15, 18, -10, 11, -43, -54, 24, 39]
  Compare -15 and 18
  No swap needed
  Compare 18 and -10
  Swap 18 and -10
  List after swap: [-37, -15, -10, 18, 11, -43, -54, 24, 39]
  Compare 18 and 11
  Swap 18 and 11
  List after swap: [-37, -15, -10, 11, 18, -43, -54, 24, 39]
  Compare 18 and -43
  Swap 18 and -43
  List after swap: [-37, -15, -10, 11, -43, 18, -54, 24, 39]
  Compare 18 and -54
  Swap 18 and -54
  List after swap: [-37, -15, -10, 11, -43, -54, 18, 24, 39]
  Compare 18 and 24
  No swap needed

Pass 3:
  Compare -37 and -15
  No swap needed
  Compare -15 and -10
  No swap needed
  Compare -10 and 11
  No swap needed
  Compare 11 and -43
  Swap 11 and -43
  List after swap: [-37, -15, -10, -43, 11, -54, 18, 24, 39]
  Compare 11 and -54
  Swap 11 and -54
  List after swap: [-37, -15, -10, -43, -54, 11, 18, 24, 39]
  Compare 11 and 18
  No swap needed

Pass 4:
  Compare -37 and -15
  No swap needed
  Compare -15 and -10
  No swap needed
  Compare -10 and -43
  Swap -10 and -43
  List after swap: [-37, -15, -43, -10, -54, 11, 18, 24, 39]
  Compare -10 and -54
  Swap -10 and -54
  List after swap: [-37, -15, -43, -54, -10, 11, 18, 24, 39]
  Compare -10 and 11
  No swap needed

Pass 5:
  Compare -37 and -15
  No swap needed
  Compare -15 and -43
  Swap -15 and -43
  List after swap: [-37, -43, -15, -54, -10, 11, 18, 24, 39]
  Compare -15 and -54
  Swap -15 and -54
  List after swap: [-37, -43, -54, -15, -10, 11, 18, 24, 39]
  Compare -15 and -10
  No swap needed

Pass 6:
  Compare -37 and -43
  Swap -37 and -43
  List after swap: [-43, -37, -54, -15, -10, 11, 18, 24, 39]
  Compare -37 and -54
  Swap -37 and -54
  List after swap: [-43, -54, -37, -15, -10, 11, 18, 24, 39]
  Compare -37 and -15
  No swap needed

Pass 7:
  Compare -43 and -54
  Swap -43 and -54
  List after swap: [-54, -43, -37, -15, -10, 11, 18, 24, 39]
  Compare -43 and -37
  No swap needed

Pass 8:
  Compare -54 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-54, -43, -37, -15, -10, 11, 18, 24, 39]
</think>

<response>-54, -43, -37, -15, -10, 11, 18, 24, 39</response>


input: Demonstrate how bubble sort orders the integers 30, -80, -45, -61, -30, -20, -34, -73 in ascending sequence, showing all steps.

output:
<think>
Initial list: [30, -80, -45, -61, -30, -20, -34, -73]

Pass 1:
  Compare 30 and -80
  Swap 30 and -80
  List after swap: [-80, 30, -45, -61, -30, -20, -34, -73]
  Compare 30 and -45
  Swap 30 and -45
  List after swap: [-80, -45, 30, -61, -30, -20, -34, -73]
  Compare 30 and -61
  Swap 30 and -61
  List after swap: [-80, -45, -61, 30, -30, -20, -34, -73]
  Compare 30 and -30
  Swap 30 and -30
  List after swap: [-80, -45, -61, -30, 30, -20, -34, -73]
  Compare 30 and -20
  Swap 30 and -20
  List after swap: [-80, -45, -61, -30, -20, 30, -34, -73]
  Compare 30 and -34
  Swap 30 and -34
  List after swap: [-80, -45, -61, -30, -20, -34, 30, -73]
  Compare 30 and -73
  Swap 30 and -73
  List after swap: [-80, -45, -61, -30, -20, -34, -73, 30]

Pass 2:
  Compare -80 and -45
  No swap needed
  Compare -45 and -61
  Swap -45 and -61
  List after swap: [-80, -61, -45, -30, -20, -34, -73, 30]
  Compare -45 and -30
  No swap needed
  Compare -30 and -20
  No swap needed
  Compare -20 and -34
  Swap -20 and -34
  List after swap: [-80, -61, -45, -30, -34, -20, -73, 30]
  Compare -20 and -73
  Swap -20 and -73
  List after swap: [-80, -61, -45, -30, -34, -73, -20, 30]

Pass 3:
  Compare -80 and -61
  No swap needed
  Compare -61 and -45
  No swap needed
  Compare -45 and -30
  No swap needed
  Compare -30 and -34
  Swap -30 and -34
  List after swap: [-80, -61, -45, -34, -30, -73, -20, 30]
  Compare -30 and -73
  Swap -30 and -73
  List after swap: [-80, -61, -45, -34, -73, -30, -20, 30]

Pass 4:
  Compare -80 and -61
  No swap needed
  Compare -61 and -45
  No swap needed
  Compare -45 and -34
  No swap needed
  Compare -34 and -73
  Swap -34 and -73
  List after swap: [-80, -61, -45, -73, -34, -30, -20, 30]

Pass 5:
  Compare -80 and -61
  No swap needed
  Compare -61 and -45
  No swap needed
  Compare -45 and -73
  Swap -45 and -73
  List after swap: [-80, -61, -73, -45, -34, -30, -20, 30]

Pass 6:
  Compare -80 and -61
  No swap needed
  Compare -61 and -73
  Swap -61 and -73
  List after swap: [-80, -73, -61, -45, -34, -30, -20, 30]

Pass 7:
  Compare -80 and -73
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -73, -61, -45, -34, -30, -20, 30]
</think>

<response>-80, -73, -61, -45, -34, -30, -20, 30</response>


input: Arrange the numbers 64, -14, -46, 38 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [64, -14, -46, 38]

Pass 1:
  Compare 64 and -14
  Swap 64 and -14
  List after swap: [-14, 64, -46, 38]
  Compare 64 and -46
  Swap 64 and -46
  List after swap: [-14, -46, 64, 38]
  Compare 64 and 38
  Swap 64 and 38
  List after swap: [-14, -46, 38, 64]

Pass 2:
  Compare -14 and -46
  Swap -14 and -46
  List after swap: [-46, -14, 38, 64]
  Compare -14 and 38
  No swap needed

Pass 3:
  Compare -46 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-46, -14, 38, 64]
</think>

<response>-46, -14, 38, 64</response>


input: Sort these integers -8, -28, 32 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-8, -28, 32]

Pass 1:
  Compare -8 and -28
  Swap -8 and -28
  List after swap: [-28, -8, 32]
  Compare -8 and 32
  No swap needed

Pass 2:
  Compare -28 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-28, -8, 32]
</think>

<response>-28, -8, 32</response>


input: Arrange the numbers -89, 99, 52, 31, 98, -73 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-89, 99, 52, 31, 98, -73]

Pass 1:
  Compare -89 and 99
  No swap needed
  Compare 99 and 52
  Swap 99 and 52
  List after swap: [-89, 52, 99, 31, 98, -73]
  Compare 99 and 31
  Swap 99 and 31
  List after swap: [-89, 52, 31, 99, 98, -73]
  Compare 99 and 98
  Swap 99 and 98
  List after swap: [-89, 52, 31, 98, 99, -73]
  Compare 99 and -73
  Swap 99 and -73
  List after swap: [-89, 52, 31, 98, -73, 99]

Pass 2:
  Compare -89 and 52
  No swap needed
  Compare 52 and 31
  Swap 52 and 31
  List after swap: [-89, 31, 52, 98, -73, 99]
  Compare 52 and 98
  No swap needed
  Compare 98 and -73
  Swap 98 and -73
  List after swap: [-89, 31, 52, -73, 98, 99]

Pass 3:
  Compare -89 and 31
  No swap needed
  Compare 31 and 52
  No swap needed
  Compare 52 and -73
  Swap 52 and -73
  List after swap: [-89, 31, -73, 52, 98, 99]

Pass 4:
  Compare -89 and 31
  No swap needed
  Compare 31 and -73
  Swap 31 and -73
  List after swap: [-89, -73, 31, 52, 98, 99]

Pass 5:
  Compare -89 and -73
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -73, 31, 52, 98, 99]
</think>

<response>-89, -73, 31, 52, 98, 99</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -15, 65, -91, -28, 68, 32.

output:
<think>
Initial list: [-15, 65, -91, -28, 68, 32]

Pass 1:
  Compare -15 and 65
  No swap needed
  Compare 65 and -91
  Swap 65 and -91
  List after swap: [-15, -91, 65, -28, 68, 32]
  Compare 65 and -28
  Swap 65 and -28
  List after swap: [-15, -91, -28, 65, 68, 32]
  Compare 65 and 68
  No swap needed
  Compare 68 and 32
  Swap 68 and 32
  List after swap: [-15, -91, -28, 65, 32, 68]

Pass 2:
  Compare -15 and -91
  Swap -15 and -91
  List after swap: [-91, -15, -28, 65, 32, 68]
  Compare -15 and -28
  Swap -15 and -28
  List after swap: [-91, -28, -15, 65, 32, 68]
  Compare -15 and 65
  No swap needed
  Compare 65 and 32
  Swap 65 and 32
  List after swap: [-91, -28, -15, 32, 65, 68]

Pass 3:
  Compare -91 and -28
  No swap needed
  Compare -28 and -15
  No swap needed
  Compare -15 and 32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -28, -15, 32, 65, 68]
</think>

<response>-91, -28, -15, 32, 65, 68</response>


input: Sort these integers -1, 86, 58, 12 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-1, 86, 58, 12]

Pass 1:
  Compare -1 and 86
  No swap needed
  Compare 86 and 58
  Swap 86 and 58
  List after swap: [-1, 58, 86, 12]
  Compare 86 and 12
  Swap 86 and 12
  List after swap: [-1, 58, 12, 86]

Pass 2:
  Compare -1 and 58
  No swap needed
  Compare 58 and 12
  Swap 58 and 12
  List after swap: [-1, 12, 58, 86]

Pass 3:
  Compare -1 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-1, 12, 58, 86]
</think>

<response>-1, 12, 58, 86</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -65, 62, -67, -44, 75, -94, -15, -54, -64.

output:
<think>
Initial list: [-65, 62, -67, -44, 75, -94, -15, -54, -64]

Pass 1:
  Compare -65 and 62
  No swap needed
  Compare 62 and -67
  Swap 62 and -67
  List after swap: [-65, -67, 62, -44, 75, -94, -15, -54, -64]
  Compare 62 and -44
  Swap 62 and -44
  List after swap: [-65, -67, -44, 62, 75, -94, -15, -54, -64]
  Compare 62 and 75
  No swap needed
  Compare 75 and -94
  Swap 75 and -94
  List after swap: [-65, -67, -44, 62, -94, 75, -15, -54, -64]
  Compare 75 and -15
  Swap 75 and -15
  List after swap: [-65, -67, -44, 62, -94, -15, 75, -54, -64]
  Compare 75 and -54
  Swap 75 and -54
  List after swap: [-65, -67, -44, 62, -94, -15, -54, 75, -64]
  Compare 75 and -64
  Swap 75 and -64
  List after swap: [-65, -67, -44, 62, -94, -15, -54, -64, 75]

Pass 2:
  Compare -65 and -67
  Swap -65 and -67
  List after swap: [-67, -65, -44, 62, -94, -15, -54, -64, 75]
  Compare -65 and -44
  No swap needed
  Compare -44 and 62
  No swap needed
  Compare 62 and -94
  Swap 62 and -94
  List after swap: [-67, -65, -44, -94, 62, -15, -54, -64, 75]
  Compare 62 and -15
  Swap 62 and -15
  List after swap: [-67, -65, -44, -94, -15, 62, -54, -64, 75]
  Compare 62 and -54
  Swap 62 and -54
  List after swap: [-67, -65, -44, -94, -15, -54, 62, -64, 75]
  Compare 62 and -64
  Swap 62 and -64
  List after swap: [-67, -65, -44, -94, -15, -54, -64, 62, 75]

Pass 3:
  Compare -67 and -65
  No swap needed
  Compare -65 and -44
  No swap needed
  Compare -44 and -94
  Swap -44 and -94
  List after swap: [-67, -65, -94, -44, -15, -54, -64, 62, 75]
  Compare -44 and -15
  No swap needed
  Compare -15 and -54
  Swap -15 and -54
  List after swap: [-67, -65, -94, -44, -54, -15, -64, 62, 75]
  Compare -15 and -64
  Swap -15 and -64
  List after swap: [-67, -65, -94, -44, -54, -64, -15, 62, 75]

Pass 4:
  Compare -67 and -65
  No swap needed
  Compare -65 and -94
  Swap -65 and -94
  List after swap: [-67, -94, -65, -44, -54, -64, -15, 62, 75]
  Compare -65 and -44
  No swap needed
  Compare -44 and -54
  Swap -44 and -54
  List after swap: [-67, -94, -65, -54, -44, -64, -15, 62, 75]
  Compare -44 and -64
  Swap -44 and -64
  List after swap: [-67, -94, -65, -54, -64, -44, -15, 62, 75]

Pass 5:
  Compare -67 and -94
  Swap -67 and -94
  List after swap: [-94, -67, -65, -54, -64, -44, -15, 62, 75]
  Compare -67 and -65
  No swap needed
  Compare -65 and -54
  No swap needed
  Compare -54 and -64
  Swap -54 and -64
  List after swap: [-94, -67, -65, -64, -54, -44, -15, 62, 75]

Pass 6:
  Compare -94 and -67
  No swap needed
  Compare -67 and -65
  No swap needed
  Compare -65 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -67, -65, -64, -54, -44, -15, 62, 75]
</think>

<response>-94, -67, -65, -64, -54, -44, -15, 62, 75</response>


input: Perform a bubble sort on the integers 77, -71, 20, 79, 21, -69, 92, 95, 61, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [77, -71, 20, 79, 21, -69, 92, 95, 61]

Pass 1:
  Compare 77 and -71
  Swap 77 and -71
  List after swap: [-71, 77, 20, 79, 21, -69, 92, 95, 61]
  Compare 77 and 20
  Swap 77 and 20
  List after swap: [-71, 20, 77, 79, 21, -69, 92, 95, 61]
  Compare 77 and 79
  No swap needed
  Compare 79 and 21
  Swap 79 and 21
  List after swap: [-71, 20, 77, 21, 79, -69, 92, 95, 61]
  Compare 79 and -69
  Swap 79 and -69
  List after swap: [-71, 20, 77, 21, -69, 79, 92, 95, 61]
  Compare 79 and 92
  No swap needed
  Compare 92 and 95
  No swap needed
  Compare 95 and 61
  Swap 95 and 61
  List after swap: [-71, 20, 77, 21, -69, 79, 92, 61, 95]

Pass 2:
  Compare -71 and 20
  No swap needed
  Compare 20 and 77
  No swap needed
  Compare 77 and 21
  Swap 77 and 21
  List after swap: [-71, 20, 21, 77, -69, 79, 92, 61, 95]
  Compare 77 and -69
  Swap 77 and -69
  List after swap: [-71, 20, 21, -69, 77, 79, 92, 61, 95]
  Compare 77 and 79
  No swap needed
  Compare 79 and 92
  No swap needed
  Compare 92 and 61
  Swap 92 and 61
  List after swap: [-71, 20, 21, -69, 77, 79, 61, 92, 95]

Pass 3:
  Compare -71 and 20
  No swap needed
  Compare 20 and 21
  No swap needed
  Compare 21 and -69
  Swap 21 and -69
  List after swap: [-71, 20, -69, 21, 77, 79, 61, 92, 95]
  Compare 21 and 77
  No swap needed
  Compare 77 and 79
  No swap needed
  Compare 79 and 61
  Swap 79 and 61
  List after swap: [-71, 20, -69, 21, 77, 61, 79, 92, 95]

Pass 4:
  Compare -71 and 20
  No swap needed
  Compare 20 and -69
  Swap 20 and -69
  List after swap: [-71, -69, 20, 21, 77, 61, 79, 92, 95]
  Compare 20 and 21
  No swap needed
  Compare 21 and 77
  No swap needed
  Compare 77 and 61
  Swap 77 and 61
  List after swap: [-71, -69, 20, 21, 61, 77, 79, 92, 95]

Pass 5:
  Compare -71 and -69
  No swap needed
  Compare -69 and 20
  No swap needed
  Compare 20 and 21
  No swap needed
  Compare 21 and 61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -69, 20, 21, 61, 77, 79, 92, 95]
</think>

<response>-71, -69, 20, 21, 61, 77, 79, 92, 95</response>


input: Demonstrate how bubble sort orders the integers -81, 83, -83, -50 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-81, 83, -83, -50]

Pass 1:
  Compare -81 and 83
  No swap needed
  Compare 83 and -83
  Swap 83 and -83
  List after swap: [-81, -83, 83, -50]
  Compare 83 and -50
  Swap 83 and -50
  List after swap: [-81, -83, -50, 83]

Pass 2:
  Compare -81 and -83
  Swap -81 and -83
  List after swap: [-83, -81, -50, 83]
  Compare -81 and -50
  No swap needed

Pass 3:
  Compare -83 and -81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -81, -50, 83]
</think>

<response>-83, -81, -50, 83</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -49, -89, 70, -60, 51, 92, 90, 1, 82, -66.

output:
<think>
Initial list: [-49, -89, 70, -60, 51, 92, 90, 1, 82, -66]

Pass 1:
  Compare -49 and -89
  Swap -49 and -89
  List after swap: [-89, -49, 70, -60, 51, 92, 90, 1, 82, -66]
  Compare -49 and 70
  No swap needed
  Compare 70 and -60
  Swap 70 and -60
  List after swap: [-89, -49, -60, 70, 51, 92, 90, 1, 82, -66]
  Compare 70 and 51
  Swap 70 and 51
  List after swap: [-89, -49, -60, 51, 70, 92, 90, 1, 82, -66]
  Compare 70 and 92
  No swap needed
  Compare 92 and 90
  Swap 92 and 90
  List after swap: [-89, -49, -60, 51, 70, 90, 92, 1, 82, -66]
  Compare 92 and 1
  Swap 92 and 1
  List after swap: [-89, -49, -60, 51, 70, 90, 1, 92, 82, -66]
  Compare 92 and 82
  Swap 92 and 82
  List after swap: [-89, -49, -60, 51, 70, 90, 1, 82, 92, -66]
  Compare 92 and -66
  Swap 92 and -66
  List after swap: [-89, -49, -60, 51, 70, 90, 1, 82, -66, 92]

Pass 2:
  Compare -89 and -49
  No swap needed
  Compare -49 and -60
  Swap -49 and -60
  List after swap: [-89, -60, -49, 51, 70, 90, 1, 82, -66, 92]
  Compare -49 and 51
  No swap needed
  Compare 51 and 70
  No swap needed
  Compare 70 and 90
  No swap needed
  Compare 90 and 1
  Swap 90 and 1
  List after swap: [-89, -60, -49, 51, 70, 1, 90, 82, -66, 92]
  Compare 90 and 82
  Swap 90 and 82
  List after swap: [-89, -60, -49, 51, 70, 1, 82, 90, -66, 92]
  Compare 90 and -66
  Swap 90 and -66
  List after swap: [-89, -60, -49, 51, 70, 1, 82, -66, 90, 92]

Pass 3:
  Compare -89 and -60
  No swap needed
  Compare -60 and -49
  No swap needed
  Compare -49 and 51
  No swap needed
  Compare 51 and 70
  No swap needed
  Compare 70 and 1
  Swap 70 and 1
  List after swap: [-89, -60, -49, 51, 1, 70, 82, -66, 90, 92]
  Compare 70 and 82
  No swap needed
  Compare 82 and -66
  Swap 82 and -66
  List after swap: [-89, -60, -49, 51, 1, 70, -66, 82, 90, 92]

Pass 4:
  Compare -89 and -60
  No swap needed
  Compare -60 and -49
  No swap needed
  Compare -49 and 51
  No swap needed
  Compare 51 and 1
  Swap 51 and 1
  List after swap: [-89, -60, -49, 1, 51, 70, -66, 82, 90, 92]
  Compare 51 and 70
  No swap needed
  Compare 70 and -66
  Swap 70 and -66
  List after swap: [-89, -60, -49, 1, 51, -66, 70, 82, 90, 92]

Pass 5:
  Compare -89 and -60
  No swap needed
  Compare -60 and -49
  No swap needed
  Compare -49 and 1
  No swap needed
  Compare 1 and 51
  No swap needed
  Compare 51 and -66
  Swap 51 and -66
  List after swap: [-89, -60, -49, 1, -66, 51, 70, 82, 90, 92]

Pass 6:
  Compare -89 and -60
  No swap needed
  Compare -60 and -49
  No swap needed
  Compare -49 and 1
  No swap needed
  Compare 1 and -66
  Swap 1 and -66
  List after swap: [-89, -60, -49, -66, 1, 51, 70, 82, 90, 92]

Pass 7:
  Compare -89 and -60
  No swap needed
  Compare -60 and -49
  No swap needed
  Compare -49 and -66
  Swap -49 and -66
  List after swap: [-89, -60, -66, -49, 1, 51, 70, 82, 90, 92]

Pass 8:
  Compare -89 and -60
  No swap needed
  Compare -60 and -66
  Swap -60 and -66
  List after swap: [-89, -66, -60, -49, 1, 51, 70, 82, 90, 92]

Pass 9:
  Compare -89 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -66, -60, -49, 1, 51, 70, 82, 90, 92]
</think>

<response>-89, -66, -60, -49, 1, 51, 70, 82, 90, 92</response>


input: Perform a bubble sort on the integers -46, -91, 47, 20, 53, 66, -5, -37, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-46, -91, 47, 20, 53, 66, -5, -37]

Pass 1:
  Compare -46 and -91
  Swap -46 and -91
  List after swap: [-91, -46, 47, 20, 53, 66, -5, -37]
  Compare -46 and 47
  No swap needed
  Compare 47 and 20
  Swap 47 and 20
  List after swap: [-91, -46, 20, 47, 53, 66, -5, -37]
  Compare 47 and 53
  No swap needed
  Compare 53 and 66
  No swap needed
  Compare 66 and -5
  Swap 66 and -5
  List after swap: [-91, -46, 20, 47, 53, -5, 66, -37]
  Compare 66 and -37
  Swap 66 and -37
  List after swap: [-91, -46, 20, 47, 53, -5, -37, 66]

Pass 2:
  Compare -91 and -46
  No swap needed
  Compare -46 and 20
  No swap needed
  Compare 20 and 47
  No swap needed
  Compare 47 and 53
  No swap needed
  Compare 53 and -5
  Swap 53 and -5
  List after swap: [-91, -46, 20, 47, -5, 53, -37, 66]
  Compare 53 and -37
  Swap 53 and -37
  List after swap: [-91, -46, 20, 47, -5, -37, 53, 66]

Pass 3:
  Compare -91 and -46
  No swap needed
  Compare -46 and 20
  No swap needed
  Compare 20 and 47
  No swap needed
  Compare 47 and -5
  Swap 47 and -5
  List after swap: [-91, -46, 20, -5, 47, -37, 53, 66]
  Compare 47 and -37
  Swap 47 and -37
  List after swap: [-91, -46, 20, -5, -37, 47, 53, 66]

Pass 4:
  Compare -91 and -46
  No swap needed
  Compare -46 and 20
  No swap needed
  Compare 20 and -5
  Swap 20 and -5
  List after swap: [-91, -46, -5, 20, -37, 47, 53, 66]
  Compare 20 and -37
  Swap 20 and -37
  List after swap: [-91, -46, -5, -37, 20, 47, 53, 66]

Pass 5:
  Compare -91 and -46
  No swap needed
  Compare -46 and -5
  No swap needed
  Compare -5 and -37
  Swap -5 and -37
  List after swap: [-91, -46, -37, -5, 20, 47, 53, 66]

Pass 6:
  Compare -91 and -46
  No swap needed
  Compare -46 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -46, -37, -5, 20, 47, 53, 66]
</think>

<response>-91, -46, -37, -5, 20, 47, 53, 66</response>


input: Sort these integers -22, 54, -47, 56, 43, -94, 90, -39, -52, 73 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-22, 54, -47, 56, 43, -94, 90, -39, -52, 73]

Pass 1:
  Compare -22 and 54
  No swap needed
  Compare 54 and -47
  Swap 54 and -47
  List after swap: [-22, -47, 54, 56, 43, -94, 90, -39, -52, 73]
  Compare 54 and 56
  No swap needed
  Compare 56 and 43
  Swap 56 and 43
  List after swap: [-22, -47, 54, 43, 56, -94, 90, -39, -52, 73]
  Compare 56 and -94
  Swap 56 and -94
  List after swap: [-22, -47, 54, 43, -94, 56, 90, -39, -52, 73]
  Compare 56 and 90
  No swap needed
  Compare 90 and -39
  Swap 90 and -39
  List after swap: [-22, -47, 54, 43, -94, 56, -39, 90, -52, 73]
  Compare 90 and -52
  Swap 90 and -52
  List after swap: [-22, -47, 54, 43, -94, 56, -39, -52, 90, 73]
  Compare 90 and 73
  Swap 90 and 73
  List after swap: [-22, -47, 54, 43, -94, 56, -39, -52, 73, 90]

Pass 2:
  Compare -22 and -47
  Swap -22 and -47
  List after swap: [-47, -22, 54, 43, -94, 56, -39, -52, 73, 90]
  Compare -22 and 54
  No swap needed
  Compare 54 and 43
  Swap 54 and 43
  List after swap: [-47, -22, 43, 54, -94, 56, -39, -52, 73, 90]
  Compare 54 and -94
  Swap 54 and -94
  List after swap: [-47, -22, 43, -94, 54, 56, -39, -52, 73, 90]
  Compare 54 and 56
  No swap needed
  Compare 56 and -39
  Swap 56 and -39
  List after swap: [-47, -22, 43, -94, 54, -39, 56, -52, 73, 90]
  Compare 56 and -52
  Swap 56 and -52
  List after swap: [-47, -22, 43, -94, 54, -39, -52, 56, 73, 90]
  Compare 56 and 73
  No swap needed

Pass 3:
  Compare -47 and -22
  No swap needed
  Compare -22 and 43
  No swap needed
  Compare 43 and -94
  Swap 43 and -94
  List after swap: [-47, -22, -94, 43, 54, -39, -52, 56, 73, 90]
  Compare 43 and 54
  No swap needed
  Compare 54 and -39
  Swap 54 and -39
  List after swap: [-47, -22, -94, 43, -39, 54, -52, 56, 73, 90]
  Compare 54 and -52
  Swap 54 and -52
  List after swap: [-47, -22, -94, 43, -39, -52, 54, 56, 73, 90]
  Compare 54 and 56
  No swap needed

Pass 4:
  Compare -47 and -22
  No swap needed
  Compare -22 and -94
  Swap -22 and -94
  List after swap: [-47, -94, -22, 43, -39, -52, 54, 56, 73, 90]
  Compare -22 and 43
  No swap needed
  Compare 43 and -39
  Swap 43 and -39
  List after swap: [-47, -94, -22, -39, 43, -52, 54, 56, 73, 90]
  Compare 43 and -52
  Swap 43 and -52
  List after swap: [-47, -94, -22, -39, -52, 43, 54, 56, 73, 90]
  Compare 43 and 54
  No swap needed

Pass 5:
  Compare -47 and -94
  Swap -47 and -94
  List after swap: [-94, -47, -22, -39, -52, 43, 54, 56, 73, 90]
  Compare -47 and -22
  No swap needed
  Compare -22 and -39
  Swap -22 and -39
  List after swap: [-94, -47, -39, -22, -52, 43, 54, 56, 73, 90]
  Compare -22 and -52
  Swap -22 and -52
  List after swap: [-94, -47, -39, -52, -22, 43, 54, 56, 73, 90]
  Compare -22 and 43
  No swap needed

Pass 6:
  Compare -94 and -47
  No swap needed
  Compare -47 and -39
  No swap needed
  Compare -39 and -52
  Swap -39 and -52
  List after swap: [-94, -47, -52, -39, -22, 43, 54, 56, 73, 90]
  Compare -39 and -22
  No swap needed

Pass 7:
  Compare -94 and -47
  No swap needed
  Compare -47 and -52
  Swap -47 and -52
  List after swap: [-94, -52, -47, -39, -22, 43, 54, 56, 73, 90]
  Compare -47 and -39
  No swap needed

Pass 8:
  Compare -94 and -52
  No swap needed
  Compare -52 and -47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -52, -47, -39, -22, 43, 54, 56, 73, 90]
</think>

<response>-94, -52, -47, -39, -22, 43, 54, 56, 73, 90</response>


input: Sort the list -57, -60, 46, 82 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-57, -60, 46, 82]

Pass 1:
  Compare -57 and -60
  Swap -57 and -60
  List after swap: [-60, -57, 46, 82]
  Compare -57 and 46
  No swap needed
  Compare 46 and 82
  No swap needed

Pass 2:
  Compare -60 and -57
  No swap needed
  Compare -57 and 46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -57, 46, 82]
</think>

<response>-60, -57, 46, 82</response>


input: Execute bubble sort to sort 69, -63, 56, -62, -94, -17, 70, 68, 39 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [69, -63, 56, -62, -94, -17, 70, 68, 39]

Pass 1:
  Compare 69 and -63
  Swap 69 and -63
  List after swap: [-63, 69, 56, -62, -94, -17, 70, 68, 39]
  Compare 69 and 56
  Swap 69 and 56
  List after swap: [-63, 56, 69, -62, -94, -17, 70, 68, 39]
  Compare 69 and -62
  Swap 69 and -62
  List after swap: [-63, 56, -62, 69, -94, -17, 70, 68, 39]
  Compare 69 and -94
  Swap 69 and -94
  List after swap: [-63, 56, -62, -94, 69, -17, 70, 68, 39]
  Compare 69 and -17
  Swap 69 and -17
  List after swap: [-63, 56, -62, -94, -17, 69, 70, 68, 39]
  Compare 69 and 70
  No swap needed
  Compare 70 and 68
  Swap 70 and 68
  List after swap: [-63, 56, -62, -94, -17, 69, 68, 70, 39]
  Compare 70 and 39
  Swap 70 and 39
  List after swap: [-63, 56, -62, -94, -17, 69, 68, 39, 70]

Pass 2:
  Compare -63 and 56
  No swap needed
  Compare 56 and -62
  Swap 56 and -62
  List after swap: [-63, -62, 56, -94, -17, 69, 68, 39, 70]
  Compare 56 and -94
  Swap 56 and -94
  List after swap: [-63, -62, -94, 56, -17, 69, 68, 39, 70]
  Compare 56 and -17
  Swap 56 and -17
  List after swap: [-63, -62, -94, -17, 56, 69, 68, 39, 70]
  Compare 56 and 69
  No swap needed
  Compare 69 and 68
  Swap 69 and 68
  List after swap: [-63, -62, -94, -17, 56, 68, 69, 39, 70]
  Compare 69 and 39
  Swap 69 and 39
  List after swap: [-63, -62, -94, -17, 56, 68, 39, 69, 70]

Pass 3:
  Compare -63 and -62
  No swap needed
  Compare -62 and -94
  Swap -62 and -94
  List after swap: [-63, -94, -62, -17, 56, 68, 39, 69, 70]
  Compare -62 and -17
  No swap needed
  Compare -17 and 56
  No swap needed
  Compare 56 and 68
  No swap needed
  Compare 68 and 39
  Swap 68 and 39
  List after swap: [-63, -94, -62, -17, 56, 39, 68, 69, 70]

Pass 4:
  Compare -63 and -94
  Swap -63 and -94
  List after swap: [-94, -63, -62, -17, 56, 39, 68, 69, 70]
  Compare -63 and -62
  No swap needed
  Compare -62 and -17
  No swap needed
  Compare -17 and 56
  No swap needed
  Compare 56 and 39
  Swap 56 and 39
  List after swap: [-94, -63, -62, -17, 39, 56, 68, 69, 70]

Pass 5:
  Compare -94 and -63
  No swap needed
  Compare -63 and -62
  No swap needed
  Compare -62 and -17
  No swap needed
  Compare -17 and 39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -63, -62, -17, 39, 56, 68, 69, 70]
</think>

<response>-94, -63, -62, -17, 39, 56, 68, 69, 70</response>


input: Implement bubble sort on -65, 58, 29, 74, 71, -91, 68 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-65, 58, 29, 74, 71, -91, 68]

Pass 1:
  Compare -65 and 58
  No swap needed
  Compare 58 and 29
  Swap 58 and 29
  List after swap: [-65, 29, 58, 74, 71, -91, 68]
  Compare 58 and 74
  No swap needed
  Compare 74 and 71
  Swap 74 and 71
  List after swap: [-65, 29, 58, 71, 74, -91, 68]
  Compare 74 and -91
  Swap 74 and -91
  List after swap: [-65, 29, 58, 71, -91, 74, 68]
  Compare 74 and 68
  Swap 74 and 68
  List after swap: [-65, 29, 58, 71, -91, 68, 74]

Pass 2:
  Compare -65 and 29
  No swap needed
  Compare 29 and 58
  No swap needed
  Compare 58 and 71
  No swap needed
  Compare 71 and -91
  Swap 71 and -91
  List after swap: [-65, 29, 58, -91, 71, 68, 74]
  Compare 71 and 68
  Swap 71 and 68
  List after swap: [-65, 29, 58, -91, 68, 71, 74]

Pass 3:
  Compare -65 and 29
  No swap needed
  Compare 29 and 58
  No swap needed
  Compare 58 and -91
  Swap 58 and -91
  List after swap: [-65, 29, -91, 58, 68, 71, 74]
  Compare 58 and 68
  No swap needed

Pass 4:
  Compare -65 and 29
  No swap needed
  Compare 29 and -91
  Swap 29 and -91
  List after swap: [-65, -91, 29, 58, 68, 71, 74]
  Compare 29 and 58
  No swap needed

Pass 5:
  Compare -65 and -91
  Swap -65 and -91
  List after swap: [-91, -65, 29, 58, 68, 71, 74]
  Compare -65 and 29
  No swap needed

Pass 6:
  Compare -91 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -65, 29, 58, 68, 71, 74]
</think>

<response>-91, -65, 29, 58, 68, 71, 74</response>


input: Execute bubble sort to sort -35, 97, -3 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-35, 97, -3]

Pass 1:
  Compare -35 and 97
  No swap needed
  Compare 97 and -3
  Swap 97 and -3
  List after swap: [-35, -3, 97]

Pass 2:
  Compare -35 and -3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-35, -3, 97]
</think>

<response>-35, -3, 97</response>


input: Using the bubble sort method, sort 87, 7, 70, -80, 31 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [87, 7, 70, -80, 31]

Pass 1:
  Compare 87 and 7
  Swap 87 and 7
  List after swap: [7, 87, 70, -80, 31]
  Compare 87 and 70
  Swap 87 and 70
  List after swap: [7, 70, 87, -80, 31]
  Compare 87 and -80
  Swap 87 and -80
  List after swap: [7, 70, -80, 87, 31]
  Compare 87 and 31
  Swap 87 and 31
  List after swap: [7, 70, -80, 31, 87]

Pass 2:
  Compare 7 and 70
  No swap needed
  Compare 70 and -80
  Swap 70 and -80
  List after swap: [7, -80, 70, 31, 87]
  Compare 70 and 31
  Swap 70 and 31
  List after swap: [7, -80, 31, 70, 87]

Pass 3:
  Compare 7 and -80
  Swap 7 and -80
  List after swap: [-80, 7, 31, 70, 87]
  Compare 7 and 31
  No swap needed

Pass 4:
  Compare -80 and 7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, 7, 31, 70, 87]
</think>

<response>-80, 7, 31, 70, 87</response>


input: Sort these integers 40, 0 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [40, 0]

Pass 1:
  Compare 40 and 0
  Swap 40 and 0
  List after swap: [0, 40]

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

Final sorted list: [0, 40]
</think>

<response>0, 40</response>


input: Sort these integers -14, -30, 78, 16, -22, -50, 14 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-14, -30, 78, 16, -22, -50, 14]

Pass 1:
  Compare -14 and -30
  Swap -14 and -30
  List after swap: [-30, -14, 78, 16, -22, -50, 14]
  Compare -14 and 78
  No swap needed
  Compare 78 and 16
  Swap 78 and 16
  List after swap: [-30, -14, 16, 78, -22, -50, 14]
  Compare 78 and -22
  Swap 78 and -22
  List after swap: [-30, -14, 16, -22, 78, -50, 14]
  Compare 78 and -50
  Swap 78 and -50
  List after swap: [-30, -14, 16, -22, -50, 78, 14]
  Compare 78 and 14
  Swap 78 and 14
  List after swap: [-30, -14, 16, -22, -50, 14, 78]

Pass 2:
  Compare -30 and -14
  No swap needed
  Compare -14 and 16
  No swap needed
  Compare 16 and -22
  Swap 16 and -22
  List after swap: [-30, -14, -22, 16, -50, 14, 78]
  Compare 16 and -50
  Swap 16 and -50
  List after swap: [-30, -14, -22, -50, 16, 14, 78]
  Compare 16 and 14
  Swap 16 and 14
  List after swap: [-30, -14, -22, -50, 14, 16, 78]

Pass 3:
  Compare -30 and -14
  No swap needed
  Compare -14 and -22
  Swap -14 and -22
  List after swap: [-30, -22, -14, -50, 14, 16, 78]
  Compare -14 and -50
  Swap -14 and -50
  List after swap: [-30, -22, -50, -14, 14, 16, 78]
  Compare -14 and 14
  No swap needed

Pass 4:
  Compare -30 and -22
  No swap needed
  Compare -22 and -50
  Swap -22 and -50
  List after swap: [-30, -50, -22, -14, 14, 16, 78]
  Compare -22 and -14
  No swap needed

Pass 5:
  Compare -30 and -50
  Swap -30 and -50
  List after swap: [-50, -30, -22, -14, 14, 16, 78]
  Compare -30 and -22
  No swap needed

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

Final sorted list: [-50, -30, -22, -14, 14, 16, 78]
</think>

<response>-50, -30, -22, -14, 14, 16, 78</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 24, 93, 78, -22.

output:
<think>
Initial list: [24, 93, 78, -22]

Pass 1:
  Compare 24 and 93
  No swap needed
  Compare 93 and 78
  Swap 93 and 78
  List after swap: [24, 78, 93, -22]
  Compare 93 and -22
  Swap 93 and -22
  List after swap: [24, 78, -22, 93]

Pass 2:
  Compare 24 and 78
  No swap needed
  Compare 78 and -22
  Swap 78 and -22
  List after swap: [24, -22, 78, 93]

Pass 3:
  Compare 24 and -22
  Swap 24 and -22
  List after swap: [-22, 24, 78, 93]

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

Final sorted list: [-22, 24, 78, 93]
</think>

<response>-22, 24, 78, 93</response>


input: Use the bubble sort technique to reorder 23, 58, 9, 99, -80, 25, 72 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [23, 58, 9, 99, -80, 25, 72]

Pass 1:
  Compare 23 and 58
  No swap needed
  Compare 58 and 9
  Swap 58 and 9
  List after swap: [23, 9, 58, 99, -80, 25, 72]
  Compare 58 and 99
  No swap needed
  Compare 99 and -80
  Swap 99 and -80
  List after swap: [23, 9, 58, -80, 99, 25, 72]
  Compare 99 and 25
  Swap 99 and 25
  List after swap: [23, 9, 58, -80, 25, 99, 72]
  Compare 99 and 72
  Swap 99 and 72
  List after swap: [23, 9, 58, -80, 25, 72, 99]

Pass 2:
  Compare 23 and 9
  Swap 23 and 9
  List after swap: [9, 23, 58, -80, 25, 72, 99]
  Compare 23 and 58
  No swap needed
  Compare 58 and -80
  Swap 58 and -80
  List after swap: [9, 23, -80, 58, 25, 72, 99]
  Compare 58 and 25
  Swap 58 and 25
  List after swap: [9, 23, -80, 25, 58, 72, 99]
  Compare 58 and 72
  No swap needed

Pass 3:
  Compare 9 and 23
  No swap needed
  Compare 23 and -80
  Swap 23 and -80
  List after swap: [9, -80, 23, 25, 58, 72, 99]
  Compare 23 and 25
  No swap needed
  Compare 25 and 58
  No swap needed

Pass 4:
  Compare 9 and -80
  Swap 9 and -80
  List after swap: [-80, 9, 23, 25, 58, 72, 99]
  Compare 9 and 23
  No swap needed
  Compare 23 and 25
  No swap needed

Pass 5:
  Compare -80 and 9
  No swap needed
  Compare 9 and 23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, 9, 23, 25, 58, 72, 99]
</think>

<response>-80, 9, 23, 25, 58, 72, 99</response>


input: Perform a bubble sort on the integers 77, -55, -5, -31, 43, 27, 5, -13, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [77, -55, -5, -31, 43, 27, 5, -13]

Pass 1:
  Compare 77 and -55
  Swap 77 and -55
  List after swap: [-55, 77, -5, -31, 43, 27, 5, -13]
  Compare 77 and -5
  Swap 77 and -5
  List after swap: [-55, -5, 77, -31, 43, 27, 5, -13]
  Compare 77 and -31
  Swap 77 and -31
  List after swap: [-55, -5, -31, 77, 43, 27, 5, -13]
  Compare 77 and 43
  Swap 77 and 43
  List after swap: [-55, -5, -31, 43, 77, 27, 5, -13]
  Compare 77 and 27
  Swap 77 and 27
  List after swap: [-55, -5, -31, 43, 27, 77, 5, -13]
  Compare 77 and 5
  Swap 77 and 5
  List after swap: [-55, -5, -31, 43, 27, 5, 77, -13]
  Compare 77 and -13
  Swap 77 and -13
  List after swap: [-55, -5, -31, 43, 27, 5, -13, 77]

Pass 2:
  Compare -55 and -5
  No swap needed
  Compare -5 and -31
  Swap -5 and -31
  List after swap: [-55, -31, -5, 43, 27, 5, -13, 77]
  Compare -5 and 43
  No swap needed
  Compare 43 and 27
  Swap 43 and 27
  List after swap: [-55, -31, -5, 27, 43, 5, -13, 77]
  Compare 43 and 5
  Swap 43 and 5
  List after swap: [-55, -31, -5, 27, 5, 43, -13, 77]
  Compare 43 and -13
  Swap 43 and -13
  List after swap: [-55, -31, -5, 27, 5, -13, 43, 77]

Pass 3:
  Compare -55 and -31
  No swap needed
  Compare -31 and -5
  No swap needed
  Compare -5 and 27
  No swap needed
  Compare 27 and 5
  Swap 27 and 5
  List after swap: [-55, -31, -5, 5, 27, -13, 43, 77]
  Compare 27 and -13
  Swap 27 and -13
  List after swap: [-55, -31, -5, 5, -13, 27, 43, 77]

Pass 4:
  Compare -55 and -31
  No swap needed
  Compare -31 and -5
  No swap needed
  Compare -5 and 5
  No swap needed
  Compare 5 and -13
  Swap 5 and -13
  List after swap: [-55, -31, -5, -13, 5, 27, 43, 77]

Pass 5:
  Compare -55 and -31
  No swap needed
  Compare -31 and -5
  No swap needed
  Compare -5 and -13
  Swap -5 and -13
  List after swap: [-55, -31, -13, -5, 5, 27, 43, 77]

Pass 6:
  Compare -55 and -31
  No swap needed
  Compare -31 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, -31, -13, -5, 5, 27, 43, 77]
</think>

<response>-55, -31, -13, -5, 5, 27, 43, 77</response>


input: Carry out the bubble sort algorithm on 20, 50, 49, 91 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [20, 50, 49, 91]

Pass 1:
  Compare 20 and 50
  No swap needed
  Compare 50 and 49
  Swap 50 and 49
  List after swap: [20, 49, 50, 91]
  Compare 50 and 91
  No swap needed

Pass 2:
  Compare 20 and 49
  No swap needed
  Compare 49 and 50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [20, 49, 50, 91]
</think>

<response>20, 49, 50, 91</response>


input: Perform a bubble sort on the integers -25, 54, 95, 10, -70, -30, 3, -62, 84, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-25, 54, 95, 10, -70, -30, 3, -62, 84]

Pass 1:
  Compare -25 and 54
  No swap needed
  Compare 54 and 95
  No swap needed
  Compare 95 and 10
  Swap 95 and 10
  List after swap: [-25, 54, 10, 95, -70, -30, 3, -62, 84]
  Compare 95 and -70
  Swap 95 and -70
  List after swap: [-25, 54, 10, -70, 95, -30, 3, -62, 84]
  Compare 95 and -30
  Swap 95 and -30
  List after swap: [-25, 54, 10, -70, -30, 95, 3, -62, 84]
  Compare 95 and 3
  Swap 95 and 3
  List after swap: [-25, 54, 10, -70, -30, 3, 95, -62, 84]
  Compare 95 and -62
  Swap 95 and -62
  List after swap: [-25, 54, 10, -70, -30, 3, -62, 95, 84]
  Compare 95 and 84
  Swap 95 and 84
  List after swap: [-25, 54, 10, -70, -30, 3, -62, 84, 95]

Pass 2:
  Compare -25 and 54
  No swap needed
  Compare 54 and 10
  Swap 54 and 10
  List after swap: [-25, 10, 54, -70, -30, 3, -62, 84, 95]
  Compare 54 and -70
  Swap 54 and -70
  List after swap: [-25, 10, -70, 54, -30, 3, -62, 84, 95]
  Compare 54 and -30
  Swap 54 and -30
  List after swap: [-25, 10, -70, -30, 54, 3, -62, 84, 95]
  Compare 54 and 3
  Swap 54 and 3
  List after swap: [-25, 10, -70, -30, 3, 54, -62, 84, 95]
  Compare 54 and -62
  Swap 54 and -62
  List after swap: [-25, 10, -70, -30, 3, -62, 54, 84, 95]
  Compare 54 and 84
  No swap needed

Pass 3:
  Compare -25 and 10
  No swap needed
  Compare 10 and -70
  Swap 10 and -70
  List after swap: [-25, -70, 10, -30, 3, -62, 54, 84, 95]
  Compare 10 and -30
  Swap 10 and -30
  List after swap: [-25, -70, -30, 10, 3, -62, 54, 84, 95]
  Compare 10 and 3
  Swap 10 and 3
  List after swap: [-25, -70, -30, 3, 10, -62, 54, 84, 95]
  Compare 10 and -62
  Swap 10 and -62
  List after swap: [-25, -70, -30, 3, -62, 10, 54, 84, 95]
  Compare 10 and 54
  No swap needed

Pass 4:
  Compare -25 and -70
  Swap -25 and -70
  List after swap: [-70, -25, -30, 3, -62, 10, 54, 84, 95]
  Compare -25 and -30
  Swap -25 and -30
  List after swap: [-70, -30, -25, 3, -62, 10, 54, 84, 95]
  Compare -25 and 3
  No swap needed
  Compare 3 and -62
  Swap 3 and -62
  List after swap: [-70, -30, -25, -62, 3, 10, 54, 84, 95]
  Compare 3 and 10
  No swap needed

Pass 5:
  Compare -70 and -30
  No swap needed
  Compare -30 and -25
  No swap needed
  Compare -25 and -62
  Swap -25 and -62
  List after swap: [-70, -30, -62, -25, 3, 10, 54, 84, 95]
  Compare -25 and 3
  No swap needed

Pass 6:
  Compare -70 and -30
  No swap needed
  Compare -30 and -62
  Swap -30 and -62
  List after swap: [-70, -62, -30, -25, 3, 10, 54, 84, 95]
  Compare -30 and -25
  No swap needed

Pass 7:
  Compare -70 and -62
  No swap needed
  Compare -62 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -62, -30, -25, 3, 10, 54, 84, 95]
</think>

<response>-70, -62, -30, -25, 3, 10, 54, 84, 95</response>


input: Use the bubble sort technique to reorder 65, 27, -89, -24, 6, -91, -28, 43, 83, -32 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [65, 27, -89, -24, 6, -91, -28, 43, 83, -32]

Pass 1:
  Compare 65 and 27
  Swap 65 and 27
  List after swap: [27, 65, -89, -24, 6, -91, -28, 43, 83, -32]
  Compare 65 and -89
  Swap 65 and -89
  List after swap: [27, -89, 65, -24, 6, -91, -28, 43, 83, -32]
  Compare 65 and -24
  Swap 65 and -24
  List after swap: [27, -89, -24, 65, 6, -91, -28, 43, 83, -32]
  Compare 65 and 6
  Swap 65 and 6
  List after swap: [27, -89, -24, 6, 65, -91, -28, 43, 83, -32]
  Compare 65 and -91
  Swap 65 and -91
  List after swap: [27, -89, -24, 6, -91, 65, -28, 43, 83, -32]
  Compare 65 and -28
  Swap 65 and -28
  List after swap: [27, -89, -24, 6, -91, -28, 65, 43, 83, -32]
  Compare 65 and 43
  Swap 65 and 43
  List after swap: [27, -89, -24, 6, -91, -28, 43, 65, 83, -32]
  Compare 65 and 83
  No swap needed
  Compare 83 and -32
  Swap 83 and -32
  List after swap: [27, -89, -24, 6, -91, -28, 43, 65, -32, 83]

Pass 2:
  Compare 27 and -89
  Swap 27 and -89
  List after swap: [-89, 27, -24, 6, -91, -28, 43, 65, -32, 83]
  Compare 27 and -24
  Swap 27 and -24
  List after swap: [-89, -24, 27, 6, -91, -28, 43, 65, -32, 83]
  Compare 27 and 6
  Swap 27 and 6
  List after swap: [-89, -24, 6, 27, -91, -28, 43, 65, -32, 83]
  Compare 27 and -91
  Swap 27 and -91
  List after swap: [-89, -24, 6, -91, 27, -28, 43, 65, -32, 83]
  Compare 27 and -28
  Swap 27 and -28
  List after swap: [-89, -24, 6, -91, -28, 27, 43, 65, -32, 83]
  Compare 27 and 43
  No swap needed
  Compare 43 and 65
  No swap needed
  Compare 65 and -32
  Swap 65 and -32
  List after swap: [-89, -24, 6, -91, -28, 27, 43, -32, 65, 83]

Pass 3:
  Compare -89 and -24
  No swap needed
  Compare -24 and 6
  No swap needed
  Compare 6 and -91
  Swap 6 and -91
  List after swap: [-89, -24, -91, 6, -28, 27, 43, -32, 65, 83]
  Compare 6 and -28
  Swap 6 and -28
  List after swap: [-89, -24, -91, -28, 6, 27, 43, -32, 65, 83]
  Compare 6 and 27
  No swap needed
  Compare 27 and 43
  No swap needed
  Compare 43 and -32
  Swap 43 and -32
  List after swap: [-89, -24, -91, -28, 6, 27, -32, 43, 65, 83]

Pass 4:
  Compare -89 and -24
  No swap needed
  Compare -24 and -91
  Swap -24 and -91
  List after swap: [-89, -91, -24, -28, 6, 27, -32, 43, 65, 83]
  Compare -24 and -28
  Swap -24 and -28
  List after swap: [-89, -91, -28, -24, 6, 27, -32, 43, 65, 83]
  Compare -24 and 6
  No swap needed
  Compare 6 and 27
  No swap needed
  Compare 27 and -32
  Swap 27 and -32
  List after swap: [-89, -91, -28, -24, 6, -32, 27, 43, 65, 83]

Pass 5:
  Compare -89 and -91
  Swap -89 and -91
  List after swap: [-91, -89, -28, -24, 6, -32, 27, 43, 65, 83]
  Compare -89 and -28
  No swap needed
  Compare -28 and -24
  No swap needed
  Compare -24 and 6
  No swap needed
  Compare 6 and -32
  Swap 6 and -32
  List after swap: [-91, -89, -28, -24, -32, 6, 27, 43, 65, 83]

Pass 6:
  Compare -91 and -89
  No swap needed
  Compare -89 and -28
  No swap needed
  Compare -28 and -24
  No swap needed
  Compare -24 and -32
  Swap -24 and -32
  List after swap: [-91, -89, -28, -32, -24, 6, 27, 43, 65, 83]

Pass 7:
  Compare -91 and -89
  No swap needed
  Compare -89 and -28
  No swap needed
  Compare -28 and -32
  Swap -28 and -32
  List after swap: [-91, -89, -32, -28, -24, 6, 27, 43, 65, 83]

Pass 8:
  Compare -91 and -89
  No swap needed
  Compare -89 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -89, -32, -28, -24, 6, 27, 43, 65, 83]
</think>

<response>-91, -89, -32, -28, -24, 6, 27, 43, 65, 83</response>


input: Demonstrate how bubble sort orders the integers -86, 86, 89 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-86, 86, 89]

Pass 1:
  Compare -86 and 86
  No swap needed
  Compare 86 and 89
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, 86, 89]
</think>

<response>-86, 86, 89</response>


input: Sort these integers 81, -30, -49, 73, 41, 75, 48 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [81, -30, -49, 73, 41, 75, 48]

Pass 1:
  Compare 81 and -30
  Swap 81 and -30
  List after swap: [-30, 81, -49, 73, 41, 75, 48]
  Compare 81 and -49
  Swap 81 and -49
  List after swap: [-30, -49, 81, 73, 41, 75, 48]
  Compare 81 and 73
  Swap 81 and 73
  List after swap: [-30, -49, 73, 81, 41, 75, 48]
  Compare 81 and 41
  Swap 81 and 41
  List after swap: [-30, -49, 73, 41, 81, 75, 48]
  Compare 81 and 75
  Swap 81 and 75
  List after swap: [-30, -49, 73, 41, 75, 81, 48]
  Compare 81 and 48
  Swap 81 and 48
  List after swap: [-30, -49, 73, 41, 75, 48, 81]

Pass 2:
  Compare -30 and -49
  Swap -30 and -49
  List after swap: [-49, -30, 73, 41, 75, 48, 81]
  Compare -30 and 73
  No swap needed
  Compare 73 and 41
  Swap 73 and 41
  List after swap: [-49, -30, 41, 73, 75, 48, 81]
  Compare 73 and 75
  No swap needed
  Compare 75 and 48
  Swap 75 and 48
  List after swap: [-49, -30, 41, 73, 48, 75, 81]

Pass 3:
  Compare -49 and -30
  No swap needed
  Compare -30 and 41
  No swap needed
  Compare 41 and 73
  No swap needed
  Compare 73 and 48
  Swap 73 and 48
  List after swap: [-49, -30, 41, 48, 73, 75, 81]

Pass 4:
  Compare -49 and -30
  No swap needed
  Compare -30 and 41
  No swap needed
  Compare 41 and 48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-49, -30, 41, 48, 73, 75, 81]
</think>

<response>-49, -30, 41, 48, 73, 75, 81</response>


input: Execute bubble sort to sort -23, 65 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-23, 65]

Pass 1:
  Compare -23 and 65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-23, 65]
</think>

<response>-23, 65</response>


input: Use the bubble sort technique to reorder -80, 71 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-80, 71]

Pass 1:
  Compare -80 and 71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, 71]
</think>

<response>-80, 71</response>


input: Demonstrate how bubble sort orders the integers -92, 22 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-92, 22]

Pass 1:
  Compare -92 and 22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, 22]
</think>

<response>-92, 22</response>


input: Using the bubble sort method, sort -39, 46, 57, 59, 15, -58, 38, 81, 29 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-39, 46, 57, 59, 15, -58, 38, 81, 29]

Pass 1:
  Compare -39 and 46
  No swap needed
  Compare 46 and 57
  No swap needed
  Compare 57 and 59
  No swap needed
  Compare 59 and 15
  Swap 59 and 15
  List after swap: [-39, 46, 57, 15, 59, -58, 38, 81, 29]
  Compare 59 and -58
  Swap 59 and -58
  List after swap: [-39, 46, 57, 15, -58, 59, 38, 81, 29]
  Compare 59 and 38
  Swap 59 and 38
  List after swap: [-39, 46, 57, 15, -58, 38, 59, 81, 29]
  Compare 59 and 81
  No swap needed
  Compare 81 and 29
  Swap 81 and 29
  List after swap: [-39, 46, 57, 15, -58, 38, 59, 29, 81]

Pass 2:
  Compare -39 and 46
  No swap needed
  Compare 46 and 57
  No swap needed
  Compare 57 and 15
  Swap 57 and 15
  List after swap: [-39, 46, 15, 57, -58, 38, 59, 29, 81]
  Compare 57 and -58
  Swap 57 and -58
  List after swap: [-39, 46, 15, -58, 57, 38, 59, 29, 81]
  Compare 57 and 38
  Swap 57 and 38
  List after swap: [-39, 46, 15, -58, 38, 57, 59, 29, 81]
  Compare 57 and 59
  No swap needed
  Compare 59 and 29
  Swap 59 and 29
  List after swap: [-39, 46, 15, -58, 38, 57, 29, 59, 81]

Pass 3:
  Compare -39 and 46
  No swap needed
  Compare 46 and 15
  Swap 46 and 15
  List after swap: [-39, 15, 46, -58, 38, 57, 29, 59, 81]
  Compare 46 and -58
  Swap 46 and -58
  List after swap: [-39, 15, -58, 46, 38, 57, 29, 59, 81]
  Compare 46 and 38
  Swap 46 and 38
  List after swap: [-39, 15, -58, 38, 46, 57, 29, 59, 81]
  Compare 46 and 57
  No swap needed
  Compare 57 and 29
  Swap 57 and 29
  List after swap: [-39, 15, -58, 38, 46, 29, 57, 59, 81]

Pass 4:
  Compare -39 and 15
  No swap needed
  Compare 15 and -58
  Swap 15 and -58
  List after swap: [-39, -58, 15, 38, 46, 29, 57, 59, 81]
  Compare 15 and 38
  No swap needed
  Compare 38 and 46
  No swap needed
  Compare 46 and 29
  Swap 46 and 29
  List after swap: [-39, -58, 15, 38, 29, 46, 57, 59, 81]

Pass 5:
  Compare -39 and -58
  Swap -39 and -58
  List after swap: [-58, -39, 15, 38, 29, 46, 57, 59, 81]
  Compare -39 and 15
  No swap needed
  Compare 15 and 38
  No swap needed
  Compare 38 and 29
  Swap 38 and 29
  List after swap: [-58, -39, 15, 29, 38, 46, 57, 59, 81]

Pass 6:
  Compare -58 and -39
  No swap needed
  Compare -39 and 15
  No swap needed
  Compare 15 and 29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -39, 15, 29, 38, 46, 57, 59, 81]
</think>

<response>-58, -39, 15, 29, 38, 46, 57, 59, 81</response>


input: Using the bubble sort method, sort -21, 7, -67, -78, -27, 24, 58, -34 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-21, 7, -67, -78, -27, 24, 58, -34]

Pass 1:
  Compare -21 and 7
  No swap needed
  Compare 7 and -67
  Swap 7 and -67
  List after swap: [-21, -67, 7, -78, -27, 24, 58, -34]
  Compare 7 and -78
  Swap 7 and -78
  List after swap: [-21, -67, -78, 7, -27, 24, 58, -34]
  Compare 7 and -27
  Swap 7 and -27
  List after swap: [-21, -67, -78, -27, 7, 24, 58, -34]
  Compare 7 and 24
  No swap needed
  Compare 24 and 58
  No swap needed
  Compare 58 and -34
  Swap 58 and -34
  List after swap: [-21, -67, -78, -27, 7, 24, -34, 58]

Pass 2:
  Compare -21 and -67
  Swap -21 and -67
  List after swap: [-67, -21, -78, -27, 7, 24, -34, 58]
  Compare -21 and -78
  Swap -21 and -78
  List after swap: [-67, -78, -21, -27, 7, 24, -34, 58]
  Compare -21 and -27
  Swap -21 and -27
  List after swap: [-67, -78, -27, -21, 7, 24, -34, 58]
  Compare -21 and 7
  No swap needed
  Compare 7 and 24
  No swap needed
  Compare 24 and -34
  Swap 24 and -34
  List after swap: [-67, -78, -27, -21, 7, -34, 24, 58]

Pass 3:
  Compare -67 and -78
  Swap -67 and -78
  List after swap: [-78, -67, -27, -21, 7, -34, 24, 58]
  Compare -67 and -27
  No swap needed
  Compare -27 and -21
  No swap needed
  Compare -21 and 7
  No swap needed
  Compare 7 and -34
  Swap 7 and -34
  List after swap: [-78, -67, -27, -21, -34, 7, 24, 58]

Pass 4:
  Compare -78 and -67
  No swap needed
  Compare -67 and -27
  No swap needed
  Compare -27 and -21
  No swap needed
  Compare -21 and -34
  Swap -21 and -34
  List after swap: [-78, -67, -27, -34, -21, 7, 24, 58]

Pass 5:
  Compare -78 and -67
  No swap needed
  Compare -67 and -27
  No swap needed
  Compare -27 and -34
  Swap -27 and -34
  List after swap: [-78, -67, -34, -27, -21, 7, 24, 58]

Pass 6:
  Compare -78 and -67
  No swap needed
  Compare -67 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -67, -34, -27, -21, 7, 24, 58]
</think>

<response>-78, -67, -34, -27, -21, 7, 24, 58</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 23, 79, 10, -69, 19, -74, 27, 48, -12, -70.

output:
<think>
Initial list: [23, 79, 10, -69, 19, -74, 27, 48, -12, -70]

Pass 1:
  Compare 23 and 79
  No swap needed
  Compare 79 and 10
  Swap 79 and 10
  List after swap: [23, 10, 79, -69, 19, -74, 27, 48, -12, -70]
  Compare 79 and -69
  Swap 79 and -69
  List after swap: [23, 10, -69, 79, 19, -74, 27, 48, -12, -70]
  Compare 79 and 19
  Swap 79 and 19
  List after swap: [23, 10, -69, 19, 79, -74, 27, 48, -12, -70]
  Compare 79 and -74
  Swap 79 and -74
  List after swap: [23, 10, -69, 19, -74, 79, 27, 48, -12, -70]
  Compare 79 and 27
  Swap 79 and 27
  List after swap: [23, 10, -69, 19, -74, 27, 79, 48, -12, -70]
  Compare 79 and 48
  Swap 79 and 48
  List after swap: [23, 10, -69, 19, -74, 27, 48, 79, -12, -70]
  Compare 79 and -12
  Swap 79 and -12
  List after swap: [23, 10, -69, 19, -74, 27, 48, -12, 79, -70]
  Compare 79 and -70
  Swap 79 and -70
  List after swap: [23, 10, -69, 19, -74, 27, 48, -12, -70, 79]

Pass 2:
  Compare 23 and 10
  Swap 23 and 10
  List after swap: [10, 23, -69, 19, -74, 27, 48, -12, -70, 79]
  Compare 23 and -69
  Swap 23 and -69
  List after swap: [10, -69, 23, 19, -74, 27, 48, -12, -70, 79]
  Compare 23 and 19
  Swap 23 and 19
  List after swap: [10, -69, 19, 23, -74, 27, 48, -12, -70, 79]
  Compare 23 and -74
  Swap 23 and -74
  List after swap: [10, -69, 19, -74, 23, 27, 48, -12, -70, 79]
  Compare 23 and 27
  No swap needed
  Compare 27 and 48
  No swap needed
  Compare 48 and -12
  Swap 48 and -12
  List after swap: [10, -69, 19, -74, 23, 27, -12, 48, -70, 79]
  Compare 48 and -70
  Swap 48 and -70
  List after swap: [10, -69, 19, -74, 23, 27, -12, -70, 48, 79]

Pass 3:
  Compare 10 and -69
  Swap 10 and -69
  List after swap: [-69, 10, 19, -74, 23, 27, -12, -70, 48, 79]
  Compare 10 and 19
  No swap needed
  Compare 19 and -74
  Swap 19 and -74
  List after swap: [-69, 10, -74, 19, 23, 27, -12, -70, 48, 79]
  Compare 19 and 23
  No swap needed
  Compare 23 and 27
  No swap needed
  Compare 27 and -12
  Swap 27 and -12
  List after swap: [-69, 10, -74, 19, 23, -12, 27, -70, 48, 79]
  Compare 27 and -70
  Swap 27 and -70
  List after swap: [-69, 10, -74, 19, 23, -12, -70, 27, 48, 79]

Pass 4:
  Compare -69 and 10
  No swap needed
  Compare 10 and -74
  Swap 10 and -74
  List after swap: [-69, -74, 10, 19, 23, -12, -70, 27, 48, 79]
  Compare 10 and 19
  No swap needed
  Compare 19 and 23
  No swap needed
  Compare 23 and -12
  Swap 23 and -12
  List after swap: [-69, -74, 10, 19, -12, 23, -70, 27, 48, 79]
  Compare 23 and -70
  Swap 23 and -70
  List after swap: [-69, -74, 10, 19, -12, -70, 23, 27, 48, 79]

Pass 5:
  Compare -69 and -74
  Swap -69 and -74
  List after swap: [-74, -69, 10, 19, -12, -70, 23, 27, 48, 79]
  Compare -69 and 10
  No swap needed
  Compare 10 and 19
  No swap needed
  Compare 19 and -12
  Swap 19 and -12
  List after swap: [-74, -69, 10, -12, 19, -70, 23, 27, 48, 79]
  Compare 19 and -70
  Swap 19 and -70
  List after swap: [-74, -69, 10, -12, -70, 19, 23, 27, 48, 79]

Pass 6:
  Compare -74 and -69
  No swap needed
  Compare -69 and 10
  No swap needed
  Compare 10 and -12
  Swap 10 and -12
  List after swap: [-74, -69, -12, 10, -70, 19, 23, 27, 48, 79]
  Compare 10 and -70
  Swap 10 and -70
  List after swap: [-74, -69, -12, -70, 10, 19, 23, 27, 48, 79]

Pass 7:
  Compare -74 and -69
  No swap needed
  Compare -69 and -12
  No swap needed
  Compare -12 and -70
  Swap -12 and -70
  List after swap: [-74, -69, -70, -12, 10, 19, 23, 27, 48, 79]

Pass 8:
  Compare -74 and -69
  No swap needed
  Compare -69 and -70
  Swap -69 and -70
  List after swap: [-74, -70, -69, -12, 10, 19, 23, 27, 48, 79]

Pass 9:
  Compare -74 and -70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -70, -69, -12, 10, 19, 23, 27, 48, 79]
</think>

<response>-74, -70, -69, -12, 10, 19, 23, 27, 48, 79</response>


input: Demonstrate how bubble sort orders the integers -6, 83, 3, 21, 44, 77, 57 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-6, 83, 3, 21, 44, 77, 57]

Pass 1:
  Compare -6 and 83
  No swap needed
  Compare 83 and 3
  Swap 83 and 3
  List after swap: [-6, 3, 83, 21, 44, 77, 57]
  Compare 83 and 21
  Swap 83 and 21
  List after swap: [-6, 3, 21, 83, 44, 77, 57]
  Compare 83 and 44
  Swap 83 and 44
  List after swap: [-6, 3, 21, 44, 83, 77, 57]
  Compare 83 and 77
  Swap 83 and 77
  List after swap: [-6, 3, 21, 44, 77, 83, 57]
  Compare 83 and 57
  Swap 83 and 57
  List after swap: [-6, 3, 21, 44, 77, 57, 83]

Pass 2:
  Compare -6 and 3
  No swap needed
  Compare 3 and 21
  No swap needed
  Compare 21 and 44
  No swap needed
  Compare 44 and 77
  No swap needed
  Compare 77 and 57
  Swap 77 and 57
  List after swap: [-6, 3, 21, 44, 57, 77, 83]

Pass 3:
  Compare -6 and 3
  No swap needed
  Compare 3 and 21
  No swap needed
  Compare 21 and 44
  No swap needed
  Compare 44 and 57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-6, 3, 21, 44, 57, 77, 83]
</think>

<response>-6, 3, 21, 44, 57, 77, 83</response>


input: Implement bubble sort on -79, -77, 0, 35, 27, -23 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-79, -77, 0, 35, 27, -23]

Pass 1:
  Compare -79 and -77
  No swap needed
  Compare -77 and 0
  No swap needed
  Compare 0 and 35
  No swap needed
  Compare 35 and 27
  Swap 35 and 27
  List after swap: [-79, -77, 0, 27, 35, -23]
  Compare 35 and -23
  Swap 35 and -23
  List after swap: [-79, -77, 0, 27, -23, 35]

Pass 2:
  Compare -79 and -77
  No swap needed
  Compare -77 and 0
  No swap needed
  Compare 0 and 27
  No swap needed
  Compare 27 and -23
  Swap 27 and -23
  List after swap: [-79, -77, 0, -23, 27, 35]

Pass 3:
  Compare -79 and -77
  No swap needed
  Compare -77 and 0
  No swap needed
  Compare 0 and -23
  Swap 0 and -23
  List after swap: [-79, -77, -23, 0, 27, 35]

Pass 4:
  Compare -79 and -77
  No swap needed
  Compare -77 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -77, -23, 0, 27, 35]
</think>

<response>-79, -77, -23, 0, 27, 35</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 65, 26.

output:
<think>
Initial list: [65, 26]

Pass 1:
  Compare 65 and 26
  Swap 65 and 26
  List after swap: [26, 65]

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

Final sorted list: [26, 65]
</think>

<response>26, 65</response>


input: Sort these integers 12, 77, 50, -36, -64, 68, -97 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [12, 77, 50, -36, -64, 68, -97]

Pass 1:
  Compare 12 and 77
  No swap needed
  Compare 77 and 50
  Swap 77 and 50
  List after swap: [12, 50, 77, -36, -64, 68, -97]
  Compare 77 and -36
  Swap 77 and -36
  List after swap: [12, 50, -36, 77, -64, 68, -97]
  Compare 77 and -64
  Swap 77 and -64
  List after swap: [12, 50, -36, -64, 77, 68, -97]
  Compare 77 and 68
  Swap 77 and 68
  List after swap: [12, 50, -36, -64, 68, 77, -97]
  Compare 77 and -97
  Swap 77 and -97
  List after swap: [12, 50, -36, -64, 68, -97, 77]

Pass 2:
  Compare 12 and 50
  No swap needed
  Compare 50 and -36
  Swap 50 and -36
  List after swap: [12, -36, 50, -64, 68, -97, 77]
  Compare 50 and -64
  Swap 50 and -64
  List after swap: [12, -36, -64, 50, 68, -97, 77]
  Compare 50 and 68
  No swap needed
  Compare 68 and -97
  Swap 68 and -97
  List after swap: [12, -36, -64, 50, -97, 68, 77]

Pass 3:
  Compare 12 and -36
  Swap 12 and -36
  List after swap: [-36, 12, -64, 50, -97, 68, 77]
  Compare 12 and -64
  Swap 12 and -64
  List after swap: [-36, -64, 12, 50, -97, 68, 77]
  Compare 12 and 50
  No swap needed
  Compare 50 and -97
  Swap 50 and -97
  List after swap: [-36, -64, 12, -97, 50, 68, 77]

Pass 4:
  Compare -36 and -64
  Swap -36 and -64
  List after swap: [-64, -36, 12, -97, 50, 68, 77]
  Compare -36 and 12
  No swap needed
  Compare 12 and -97
  Swap 12 and -97
  List after swap: [-64, -36, -97, 12, 50, 68, 77]

Pass 5:
  Compare -64 and -36
  No swap needed
  Compare -36 and -97
  Swap -36 and -97
  List after swap: [-64, -97, -36, 12, 50, 68, 77]

Pass 6:
  Compare -64 and -97
  Swap -64 and -97
  List after swap: [-97, -64, -36, 12, 50, 68, 77]

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

Final sorted list: [-97, -64, -36, 12, 50, 68, 77]
</think>

<response>-97, -64, -36, 12, 50, 68, 77</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -2, 38, 24, 57, -55.

output:
<think>
Initial list: [-2, 38, 24, 57, -55]

Pass 1:
  Compare -2 and 38
  No swap needed
  Compare 38 and 24
  Swap 38 and 24
  List after swap: [-2, 24, 38, 57, -55]
  Compare 38 and 57
  No swap needed
  Compare 57 and -55
  Swap 57 and -55
  List after swap: [-2, 24, 38, -55, 57]

Pass 2:
  Compare -2 and 24
  No swap needed
  Compare 24 and 38
  No swap needed
  Compare 38 and -55
  Swap 38 and -55
  List after swap: [-2, 24, -55, 38, 57]

Pass 3:
  Compare -2 and 24
  No swap needed
  Compare 24 and -55
  Swap 24 and -55
  List after swap: [-2, -55, 24, 38, 57]

Pass 4:
  Compare -2 and -55
  Swap -2 and -55
  List after swap: [-55, -2, 24, 38, 57]

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

Final sorted list: [-55, -2, 24, 38, 57]
</think>

<response>-55, -2, 24, 38, 57</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -83, -36, -77, 84, 44, -68, -99.

output:
<think>
Initial list: [-83, -36, -77, 84, 44, -68, -99]

Pass 1:
  Compare -83 and -36
  No swap needed
  Compare -36 and -77
  Swap -36 and -77
  List after swap: [-83, -77, -36, 84, 44, -68, -99]
  Compare -36 and 84
  No swap needed
  Compare 84 and 44
  Swap 84 and 44
  List after swap: [-83, -77, -36, 44, 84, -68, -99]
  Compare 84 and -68
  Swap 84 and -68
  List after swap: [-83, -77, -36, 44, -68, 84, -99]
  Compare 84 and -99
  Swap 84 and -99
  List after swap: [-83, -77, -36, 44, -68, -99, 84]

Pass 2:
  Compare -83 and -77
  No swap needed
  Compare -77 and -36
  No swap needed
  Compare -36 and 44
  No swap needed
  Compare 44 and -68
  Swap 44 and -68
  List after swap: [-83, -77, -36, -68, 44, -99, 84]
  Compare 44 and -99
  Swap 44 and -99
  List after swap: [-83, -77, -36, -68, -99, 44, 84]

Pass 3:
  Compare -83 and -77
  No swap needed
  Compare -77 and -36
  No swap needed
  Compare -36 and -68
  Swap -36 and -68
  List after swap: [-83, -77, -68, -36, -99, 44, 84]
  Compare -36 and -99
  Swap -36 and -99
  List after swap: [-83, -77, -68, -99, -36, 44, 84]

Pass 4:
  Compare -83 and -77
  No swap needed
  Compare -77 and -68
  No swap needed
  Compare -68 and -99
  Swap -68 and -99
  List after swap: [-83, -77, -99, -68, -36, 44, 84]

Pass 5:
  Compare -83 and -77
  No swap needed
  Compare -77 and -99
  Swap -77 and -99
  List after swap: [-83, -99, -77, -68, -36, 44, 84]

Pass 6:
  Compare -83 and -99
  Swap -83 and -99
  List after swap: [-99, -83, -77, -68, -36, 44, 84]

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

Final sorted list: [-99, -83, -77, -68, -36, 44, 84]
</think>

<response>-99, -83, -77, -68, -36, 44, 84</response>


input: Using the bubble sort method, sort -67, -18, -24 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-67, -18, -24]

Pass 1:
  Compare -67 and -18
  No swap needed
  Compare -18 and -24
  Swap -18 and -24
  List after swap: [-67, -24, -18]

Pass 2:
  Compare -67 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -24, -18]
</think>

<response>-67, -24, -18</response>


input: Sort the list -11, 4, 74, 22, -73, 49, 89, 64, -25, 69 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-11, 4, 74, 22, -73, 49, 89, 64, -25, 69]

Pass 1:
  Compare -11 and 4
  No swap needed
  Compare 4 and 74
  No swap needed
  Compare 74 and 22
  Swap 74 and 22
  List after swap: [-11, 4, 22, 74, -73, 49, 89, 64, -25, 69]
  Compare 74 and -73
  Swap 74 and -73
  List after swap: [-11, 4, 22, -73, 74, 49, 89, 64, -25, 69]
  Compare 74 and 49
  Swap 74 and 49
  List after swap: [-11, 4, 22, -73, 49, 74, 89, 64, -25, 69]
  Compare 74 and 89
  No swap needed
  Compare 89 and 64
  Swap 89 and 64
  List after swap: [-11, 4, 22, -73, 49, 74, 64, 89, -25, 69]
  Compare 89 and -25
  Swap 89 and -25
  List after swap: [-11, 4, 22, -73, 49, 74, 64, -25, 89, 69]
  Compare 89 and 69
  Swap 89 and 69
  List after swap: [-11, 4, 22, -73, 49, 74, 64, -25, 69, 89]

Pass 2:
  Compare -11 and 4
  No swap needed
  Compare 4 and 22
  No swap needed
  Compare 22 and -73
  Swap 22 and -73
  List after swap: [-11, 4, -73, 22, 49, 74, 64, -25, 69, 89]
  Compare 22 and 49
  No swap needed
  Compare 49 and 74
  No swap needed
  Compare 74 and 64
  Swap 74 and 64
  List after swap: [-11, 4, -73, 22, 49, 64, 74, -25, 69, 89]
  Compare 74 and -25
  Swap 74 and -25
  List after swap: [-11, 4, -73, 22, 49, 64, -25, 74, 69, 89]
  Compare 74 and 69
  Swap 74 and 69
  List after swap: [-11, 4, -73, 22, 49, 64, -25, 69, 74, 89]

Pass 3:
  Compare -11 and 4
  No swap needed
  Compare 4 and -73
  Swap 4 and -73
  List after swap: [-11, -73, 4, 22, 49, 64, -25, 69, 74, 89]
  Compare 4 and 22
  No swap needed
  Compare 22 and 49
  No swap needed
  Compare 49 and 64
  No swap needed
  Compare 64 and -25
  Swap 64 and -25
  List after swap: [-11, -73, 4, 22, 49, -25, 64, 69, 74, 89]
  Compare 64 and 69
  No swap needed

Pass 4:
  Compare -11 and -73
  Swap -11 and -73
  List after swap: [-73, -11, 4, 22, 49, -25, 64, 69, 74, 89]
  Compare -11 and 4
  No swap needed
  Compare 4 and 22
  No swap needed
  Compare 22 and 49
  No swap needed
  Compare 49 and -25
  Swap 49 and -25
  List after swap: [-73, -11, 4, 22, -25, 49, 64, 69, 74, 89]
  Compare 49 and 64
  No swap needed

Pass 5:
  Compare -73 and -11
  No swap needed
  Compare -11 and 4
  No swap needed
  Compare 4 and 22
  No swap needed
  Compare 22 and -25
  Swap 22 and -25
  List after swap: [-73, -11, 4, -25, 22, 49, 64, 69, 74, 89]
  Compare 22 and 49
  No swap needed

Pass 6:
  Compare -73 and -11
  No swap needed
  Compare -11 and 4
  No swap needed
  Compare 4 and -25
  Swap 4 and -25
  List after swap: [-73, -11, -25, 4, 22, 49, 64, 69, 74, 89]
  Compare 4 and 22
  No swap needed

Pass 7:
  Compare -73 and -11
  No swap needed
  Compare -11 and -25
  Swap -11 and -25
  List after swap: [-73, -25, -11, 4, 22, 49, 64, 69, 74, 89]
  Compare -11 and 4
  No swap needed

Pass 8:
  Compare -73 and -25
  No swap needed
  Compare -25 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -25, -11, 4, 22, 49, 64, 69, 74, 89]
</think>

<response>-73, -25, -11, 4, 22, 49, 64, 69, 74, 89</response>


input: Sort these integers -67, 52, 90, 12, -36, -88, 88, 73 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-67, 52, 90, 12, -36, -88, 88, 73]

Pass 1:
  Compare -67 and 52
  No swap needed
  Compare 52 and 90
  No swap needed
  Compare 90 and 12
  Swap 90 and 12
  List after swap: [-67, 52, 12, 90, -36, -88, 88, 73]
  Compare 90 and -36
  Swap 90 and -36
  List after swap: [-67, 52, 12, -36, 90, -88, 88, 73]
  Compare 90 and -88
  Swap 90 and -88
  List after swap: [-67, 52, 12, -36, -88, 90, 88, 73]
  Compare 90 and 88
  Swap 90 and 88
  List after swap: [-67, 52, 12, -36, -88, 88, 90, 73]
  Compare 90 and 73
  Swap 90 and 73
  List after swap: [-67, 52, 12, -36, -88, 88, 73, 90]

Pass 2:
  Compare -67 and 52
  No swap needed
  Compare 52 and 12
  Swap 52 and 12
  List after swap: [-67, 12, 52, -36, -88, 88, 73, 90]
  Compare 52 and -36
  Swap 52 and -36
  List after swap: [-67, 12, -36, 52, -88, 88, 73, 90]
  Compare 52 and -88
  Swap 52 and -88
  List after swap: [-67, 12, -36, -88, 52, 88, 73, 90]
  Compare 52 and 88
  No swap needed
  Compare 88 and 73
  Swap 88 and 73
  List after swap: [-67, 12, -36, -88, 52, 73, 88, 90]

Pass 3:
  Compare -67 and 12
  No swap needed
  Compare 12 and -36
  Swap 12 and -36
  List after swap: [-67, -36, 12, -88, 52, 73, 88, 90]
  Compare 12 and -88
  Swap 12 and -88
  List after swap: [-67, -36, -88, 12, 52, 73, 88, 90]
  Compare 12 and 52
  No swap needed
  Compare 52 and 73
  No swap needed

Pass 4:
  Compare -67 and -36
  No swap needed
  Compare -36 and -88
  Swap -36 and -88
  List after swap: [-67, -88, -36, 12, 52, 73, 88, 90]
  Compare -36 and 12
  No swap needed
  Compare 12 and 52
  No swap needed

Pass 5:
  Compare -67 and -88
  Swap -67 and -88
  List after swap: [-88, -67, -36, 12, 52, 73, 88, 90]
  Compare -67 and -36
  No swap needed
  Compare -36 and 12
  No swap needed

Pass 6:
  Compare -88 and -67
  No swap needed
  Compare -67 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -67, -36, 12, 52, 73, 88, 90]
</think>

<response>-88, -67, -36, 12, 52, 73, 88, 90</response>


input: Perform a bubble sort on the integers -99, 89, -90, 65, -22, -13, 40, -89, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-99, 89, -90, 65, -22, -13, 40, -89]

Pass 1:
  Compare -99 and 89
  No swap needed
  Compare 89 and -90
  Swap 89 and -90
  List after swap: [-99, -90, 89, 65, -22, -13, 40, -89]
  Compare 89 and 65
  Swap 89 and 65
  List after swap: [-99, -90, 65, 89, -22, -13, 40, -89]
  Compare 89 and -22
  Swap 89 and -22
  List after swap: [-99, -90, 65, -22, 89, -13, 40, -89]
  Compare 89 and -13
  Swap 89 and -13
  List after swap: [-99, -90, 65, -22, -13, 89, 40, -89]
  Compare 89 and 40
  Swap 89 and 40
  List after swap: [-99, -90, 65, -22, -13, 40, 89, -89]
  Compare 89 and -89
  Swap 89 and -89
  List after swap: [-99, -90, 65, -22, -13, 40, -89, 89]

Pass 2:
  Compare -99 and -90
  No swap needed
  Compare -90 and 65
  No swap needed
  Compare 65 and -22
  Swap 65 and -22
  List after swap: [-99, -90, -22, 65, -13, 40, -89, 89]
  Compare 65 and -13
  Swap 65 and -13
  List after swap: [-99, -90, -22, -13, 65, 40, -89, 89]
  Compare 65 and 40
  Swap 65 and 40
  List after swap: [-99, -90, -22, -13, 40, 65, -89, 89]
  Compare 65 and -89
  Swap 65 and -89
  List after swap: [-99, -90, -22, -13, 40, -89, 65, 89]

Pass 3:
  Compare -99 and -90
  No swap needed
  Compare -90 and -22
  No swap needed
  Compare -22 and -13
  No swap needed
  Compare -13 and 40
  No swap needed
  Compare 40 and -89
  Swap 40 and -89
  List after swap: [-99, -90, -22, -13, -89, 40, 65, 89]

Pass 4:
  Compare -99 and -90
  No swap needed
  Compare -90 and -22
  No swap needed
  Compare -22 and -13
  No swap needed
  Compare -13 and -89
  Swap -13 and -89
  List after swap: [-99, -90, -22, -89, -13, 40, 65, 89]

Pass 5:
  Compare -99 and -90
  No swap needed
  Compare -90 and -22
  No swap needed
  Compare -22 and -89
  Swap -22 and -89
  List after swap: [-99, -90, -89, -22, -13, 40, 65, 89]

Pass 6:
  Compare -99 and -90
  No swap needed
  Compare -90 and -89
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -90, -89, -22, -13, 40, 65, 89]
</think>

<response>-99, -90, -89, -22, -13, 40, 65, 89</response>


input: Arrange the numbers -77, -50, -15, -68 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-77, -50, -15, -68]

Pass 1:
  Compare -77 and -50
  No swap needed
  Compare -50 and -15
  No swap needed
  Compare -15 and -68
  Swap -15 and -68
  List after swap: [-77, -50, -68, -15]

Pass 2:
  Compare -77 and -50
  No swap needed
  Compare -50 and -68
  Swap -50 and -68
  List after swap: [-77, -68, -50, -15]

Pass 3:
  Compare -77 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -68, -50, -15]
</think>

<response>-77, -68, -50, -15</response>


input: Demonstrate how bubble sort orders the integers -26, 70, -61, 76, 12 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-26, 70, -61, 76, 12]

Pass 1:
  Compare -26 and 70
  No swap needed
  Compare 70 and -61
  Swap 70 and -61
  List after swap: [-26, -61, 70, 76, 12]
  Compare 70 and 76
  No swap needed
  Compare 76 and 12
  Swap 76 and 12
  List after swap: [-26, -61, 70, 12, 76]

Pass 2:
  Compare -26 and -61
  Swap -26 and -61
  List after swap: [-61, -26, 70, 12, 76]
  Compare -26 and 70
  No swap needed
  Compare 70 and 12
  Swap 70 and 12
  List after swap: [-61, -26, 12, 70, 76]

Pass 3:
  Compare -61 and -26
  No swap needed
  Compare -26 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -26, 12, 70, 76]
</think>

<response>-61, -26, 12, 70, 76</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 82, -69, -60, 51, 22, 75.

output:
<think>
Initial list: [82, -69, -60, 51, 22, 75]

Pass 1:
  Compare 82 and -69
  Swap 82 and -69
  List after swap: [-69, 82, -60, 51, 22, 75]
  Compare 82 and -60
  Swap 82 and -60
  List after swap: [-69, -60, 82, 51, 22, 75]
  Compare 82 and 51
  Swap 82 and 51
  List after swap: [-69, -60, 51, 82, 22, 75]
  Compare 82 and 22
  Swap 82 and 22
  List after swap: [-69, -60, 51, 22, 82, 75]
  Compare 82 and 75
  Swap 82 and 75
  List after swap: [-69, -60, 51, 22, 75, 82]

Pass 2:
  Compare -69 and -60
  No swap needed
  Compare -60 and 51
  No swap needed
  Compare 51 and 22
  Swap 51 and 22
  List after swap: [-69, -60, 22, 51, 75, 82]
  Compare 51 and 75
  No swap needed

Pass 3:
  Compare -69 and -60
  No swap needed
  Compare -60 and 22
  No swap needed
  Compare 22 and 51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -60, 22, 51, 75, 82]
</think>

<response>-69, -60, 22, 51, 75, 82</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 41, 61, 83, 62, 73, -41, -81.

output:
<think>
Initial list: [41, 61, 83, 62, 73, -41, -81]

Pass 1:
  Compare 41 and 61
  No swap needed
  Compare 61 and 83
  No swap needed
  Compare 83 and 62
  Swap 83 and 62
  List after swap: [41, 61, 62, 83, 73, -41, -81]
  Compare 83 and 73
  Swap 83 and 73
  List after swap: [41, 61, 62, 73, 83, -41, -81]
  Compare 83 and -41
  Swap 83 and -41
  List after swap: [41, 61, 62, 73, -41, 83, -81]
  Compare 83 and -81
  Swap 83 and -81
  List after swap: [41, 61, 62, 73, -41, -81, 83]

Pass 2:
  Compare 41 and 61
  No swap needed
  Compare 61 and 62
  No swap needed
  Compare 62 and 73
  No swap needed
  Compare 73 and -41
  Swap 73 and -41
  List after swap: [41, 61, 62, -41, 73, -81, 83]
  Compare 73 and -81
  Swap 73 and -81
  List after swap: [41, 61, 62, -41, -81, 73, 83]

Pass 3:
  Compare 41 and 61
  No swap needed
  Compare 61 and 62
  No swap needed
  Compare 62 and -41
  Swap 62 and -41
  List after swap: [41, 61, -41, 62, -81, 73, 83]
  Compare 62 and -81
  Swap 62 and -81
  List after swap: [41, 61, -41, -81, 62, 73, 83]

Pass 4:
  Compare 41 and 61
  No swap needed
  Compare 61 and -41
  Swap 61 and -41
  List after swap: [41, -41, 61, -81, 62, 73, 83]
  Compare 61 and -81
  Swap 61 and -81
  List after swap: [41, -41, -81, 61, 62, 73, 83]

Pass 5:
  Compare 41 and -41
  Swap 41 and -41
  List after swap: [-41, 41, -81, 61, 62, 73, 83]
  Compare 41 and -81
  Swap 41 and -81
  List after swap: [-41, -81, 41, 61, 62, 73, 83]

Pass 6:
  Compare -41 and -81
  Swap -41 and -81
  List after swap: [-81, -41, 41, 61, 62, 73, 83]

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

Final sorted list: [-81, -41, 41, 61, 62, 73, 83]
</think>

<response>-81, -41, 41, 61, 62, 73, 83</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 17, -28, 61, -34, 93.

output:
<think>
Initial list: [17, -28, 61, -34, 93]

Pass 1:
  Compare 17 and -28
  Swap 17 and -28
  List after swap: [-28, 17, 61, -34, 93]
  Compare 17 and 61
  No swap needed
  Compare 61 and -34
  Swap 61 and -34
  List after swap: [-28, 17, -34, 61, 93]
  Compare 61 and 93
  No swap needed

Pass 2:
  Compare -28 and 17
  No swap needed
  Compare 17 and -34
  Swap 17 and -34
  List after swap: [-28, -34, 17, 61, 93]
  Compare 17 and 61
  No swap needed

Pass 3:
  Compare -28 and -34
  Swap -28 and -34
  List after swap: [-34, -28, 17, 61, 93]
  Compare -28 and 17
  No swap needed

Pass 4:
  Compare -34 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-34, -28, 17, 61, 93]
</think>

<response>-34, -28, 17, 61, 93</response>


input: Sort the list 16, -96, 33 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [16, -96, 33]

Pass 1:
  Compare 16 and -96
  Swap 16 and -96
  List after swap: [-96, 16, 33]
  Compare 16 and 33
  No swap needed

Pass 2:
  Compare -96 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, 16, 33]
</think>

<response>-96, 16, 33</response>


input: Use the bubble sort technique to reorder 92, 54, 17, 72, -33 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [92, 54, 17, 72, -33]

Pass 1:
  Compare 92 and 54
  Swap 92 and 54
  List after swap: [54, 92, 17, 72, -33]
  Compare 92 and 17
  Swap 92 and 17
  List after swap: [54, 17, 92, 72, -33]
  Compare 92 and 72
  Swap 92 and 72
  List after swap: [54, 17, 72, 92, -33]
  Compare 92 and -33
  Swap 92 and -33
  List after swap: [54, 17, 72, -33, 92]

Pass 2:
  Compare 54 and 17
  Swap 54 and 17
  List after swap: [17, 54, 72, -33, 92]
  Compare 54 and 72
  No swap needed
  Compare 72 and -33
  Swap 72 and -33
  List after swap: [17, 54, -33, 72, 92]

Pass 3:
  Compare 17 and 54
  No swap needed
  Compare 54 and -33
  Swap 54 and -33
  List after swap: [17, -33, 54, 72, 92]

Pass 4:
  Compare 17 and -33
  Swap 17 and -33
  List after swap: [-33, 17, 54, 72, 92]

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

Final sorted list: [-33, 17, 54, 72, 92]
</think>

<response>-33, 17, 54, 72, 92</response>


input: Arrange the numbers -23, 1, 95, 84 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-23, 1, 95, 84]

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

Pass 2:
  Compare -23 and 1
  No swap needed
  Compare 1 and 84
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-23, 1, 84, 95]
</think>

<response>-23, 1, 84, 95</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 9, 15, -80, 99, 1, -28, -79, 68, -1.

output:
<think>
Initial list: [9, 15, -80, 99, 1, -28, -79, 68, -1]

Pass 1:
  Compare 9 and 15
  No swap needed
  Compare 15 and -80
  Swap 15 and -80
  List after swap: [9, -80, 15, 99, 1, -28, -79, 68, -1]
  Compare 15 and 99
  No swap needed
  Compare 99 and 1
  Swap 99 and 1
  List after swap: [9, -80, 15, 1, 99, -28, -79, 68, -1]
  Compare 99 and -28
  Swap 99 and -28
  List after swap: [9, -80, 15, 1, -28, 99, -79, 68, -1]
  Compare 99 and -79
  Swap 99 and -79
  List after swap: [9, -80, 15, 1, -28, -79, 99, 68, -1]
  Compare 99 and 68
  Swap 99 and 68
  List after swap: [9, -80, 15, 1, -28, -79, 68, 99, -1]
  Compare 99 and -1
  Swap 99 and -1
  List after swap: [9, -80, 15, 1, -28, -79, 68, -1, 99]

Pass 2:
  Compare 9 and -80
  Swap 9 and -80
  List after swap: [-80, 9, 15, 1, -28, -79, 68, -1, 99]
  Compare 9 and 15
  No swap needed
  Compare 15 and 1
  Swap 15 and 1
  List after swap: [-80, 9, 1, 15, -28, -79, 68, -1, 99]
  Compare 15 and -28
  Swap 15 and -28
  List after swap: [-80, 9, 1, -28, 15, -79, 68, -1, 99]
  Compare 15 and -79
  Swap 15 and -79
  List after swap: [-80, 9, 1, -28, -79, 15, 68, -1, 99]
  Compare 15 and 68
  No swap needed
  Compare 68 and -1
  Swap 68 and -1
  List after swap: [-80, 9, 1, -28, -79, 15, -1, 68, 99]

Pass 3:
  Compare -80 and 9
  No swap needed
  Compare 9 and 1
  Swap 9 and 1
  List after swap: [-80, 1, 9, -28, -79, 15, -1, 68, 99]
  Compare 9 and -28
  Swap 9 and -28
  List after swap: [-80, 1, -28, 9, -79, 15, -1, 68, 99]
  Compare 9 and -79
  Swap 9 and -79
  List after swap: [-80, 1, -28, -79, 9, 15, -1, 68, 99]
  Compare 9 and 15
  No swap needed
  Compare 15 and -1
  Swap 15 and -1
  List after swap: [-80, 1, -28, -79, 9, -1, 15, 68, 99]

Pass 4:
  Compare -80 and 1
  No swap needed
  Compare 1 and -28
  Swap 1 and -28
  List after swap: [-80, -28, 1, -79, 9, -1, 15, 68, 99]
  Compare 1 and -79
  Swap 1 and -79
  List after swap: [-80, -28, -79, 1, 9, -1, 15, 68, 99]
  Compare 1 and 9
  No swap needed
  Compare 9 and -1
  Swap 9 and -1
  List after swap: [-80, -28, -79, 1, -1, 9, 15, 68, 99]

Pass 5:
  Compare -80 and -28
  No swap needed
  Compare -28 and -79
  Swap -28 and -79
  List after swap: [-80, -79, -28, 1, -1, 9, 15, 68, 99]
  Compare -28 and 1
  No swap needed
  Compare 1 and -1
  Swap 1 and -1
  List after swap: [-80, -79, -28, -1, 1, 9, 15, 68, 99]

Pass 6:
  Compare -80 and -79
  No swap needed
  Compare -79 and -28
  No swap needed
  Compare -28 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -79, -28, -1, 1, 9, 15, 68, 99]
</think>

<response>-80, -79, -28, -1, 1, 9, 15, 68, 99</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 57, 90, 89, -58, 65, -73, 69, 29, -5.

output:
<think>
Initial list: [57, 90, 89, -58, 65, -73, 69, 29, -5]

Pass 1:
  Compare 57 and 90
  No swap needed
  Compare 90 and 89
  Swap 90 and 89
  List after swap: [57, 89, 90, -58, 65, -73, 69, 29, -5]
  Compare 90 and -58
  Swap 90 and -58
  List after swap: [57, 89, -58, 90, 65, -73, 69, 29, -5]
  Compare 90 and 65
  Swap 90 and 65
  List after swap: [57, 89, -58, 65, 90, -73, 69, 29, -5]
  Compare 90 and -73
  Swap 90 and -73
  List after swap: [57, 89, -58, 65, -73, 90, 69, 29, -5]
  Compare 90 and 69
  Swap 90 and 69
  List after swap: [57, 89, -58, 65, -73, 69, 90, 29, -5]
  Compare 90 and 29
  Swap 90 and 29
  List after swap: [57, 89, -58, 65, -73, 69, 29, 90, -5]
  Compare 90 and -5
  Swap 90 and -5
  List after swap: [57, 89, -58, 65, -73, 69, 29, -5, 90]

Pass 2:
  Compare 57 and 89
  No swap needed
  Compare 89 and -58
  Swap 89 and -58
  List after swap: [57, -58, 89, 65, -73, 69, 29, -5, 90]
  Compare 89 and 65
  Swap 89 and 65
  List after swap: [57, -58, 65, 89, -73, 69, 29, -5, 90]
  Compare 89 and -73
  Swap 89 and -73
  List after swap: [57, -58, 65, -73, 89, 69, 29, -5, 90]
  Compare 89 and 69
  Swap 89 and 69
  List after swap: [57, -58, 65, -73, 69, 89, 29, -5, 90]
  Compare 89 and 29
  Swap 89 and 29
  List after swap: [57, -58, 65, -73, 69, 29, 89, -5, 90]
  Compare 89 and -5
  Swap 89 and -5
  List after swap: [57, -58, 65, -73, 69, 29, -5, 89, 90]

Pass 3:
  Compare 57 and -58
  Swap 57 and -58
  List after swap: [-58, 57, 65, -73, 69, 29, -5, 89, 90]
  Compare 57 and 65
  No swap needed
  Compare 65 and -73
  Swap 65 and -73
  List after swap: [-58, 57, -73, 65, 69, 29, -5, 89, 90]
  Compare 65 and 69
  No swap needed
  Compare 69 and 29
  Swap 69 and 29
  List after swap: [-58, 57, -73, 65, 29, 69, -5, 89, 90]
  Compare 69 and -5
  Swap 69 and -5
  List after swap: [-58, 57, -73, 65, 29, -5, 69, 89, 90]

Pass 4:
  Compare -58 and 57
  No swap needed
  Compare 57 and -73
  Swap 57 and -73
  List after swap: [-58, -73, 57, 65, 29, -5, 69, 89, 90]
  Compare 57 and 65
  No swap needed
  Compare 65 and 29
  Swap 65 and 29
  List after swap: [-58, -73, 57, 29, 65, -5, 69, 89, 90]
  Compare 65 and -5
  Swap 65 and -5
  List after swap: [-58, -73, 57, 29, -5, 65, 69, 89, 90]

Pass 5:
  Compare -58 and -73
  Swap -58 and -73
  List after swap: [-73, -58, 57, 29, -5, 65, 69, 89, 90]
  Compare -58 and 57
  No swap needed
  Compare 57 and 29
  Swap 57 and 29
  List after swap: [-73, -58, 29, 57, -5, 65, 69, 89, 90]
  Compare 57 and -5
  Swap 57 and -5
  List after swap: [-73, -58, 29, -5, 57, 65, 69, 89, 90]

Pass 6:
  Compare -73 and -58
  No swap needed
  Compare -58 and 29
  No swap needed
  Compare 29 and -5
  Swap 29 and -5
  List after swap: [-73, -58, -5, 29, 57, 65, 69, 89, 90]

Pass 7:
  Compare -73 and -58
  No swap needed
  Compare -58 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -58, -5, 29, 57, 65, 69, 89, 90]
</think>

<response>-73, -58, -5, 29, 57, 65, 69, 89, 90</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 53, 65, -81, -20, 69, 7.

output:
<think>
Initial list: [53, 65, -81, -20, 69, 7]

Pass 1:
  Compare 53 and 65
  No swap needed
  Compare 65 and -81
  Swap 65 and -81
  List after swap: [53, -81, 65, -20, 69, 7]
  Compare 65 and -20
  Swap 65 and -20
  List after swap: [53, -81, -20, 65, 69, 7]
  Compare 65 and 69
  No swap needed
  Compare 69 and 7
  Swap 69 and 7
  List after swap: [53, -81, -20, 65, 7, 69]

Pass 2:
  Compare 53 and -81
  Swap 53 and -81
  List after swap: [-81, 53, -20, 65, 7, 69]
  Compare 53 and -20
  Swap 53 and -20
  List after swap: [-81, -20, 53, 65, 7, 69]
  Compare 53 and 65
  No swap needed
  Compare 65 and 7
  Swap 65 and 7
  List after swap: [-81, -20, 53, 7, 65, 69]

Pass 3:
  Compare -81 and -20
  No swap needed
  Compare -20 and 53
  No swap needed
  Compare 53 and 7
  Swap 53 and 7
  List after swap: [-81, -20, 7, 53, 65, 69]

Pass 4:
  Compare -81 and -20
  No swap needed
  Compare -20 and 7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -20, 7, 53, 65, 69]
</think>

<response>-81, -20, 7, 53, 65, 69</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -7, -3, 78, 40.

output:
<think>
Initial list: [-7, -3, 78, 40]

Pass 1:
  Compare -7 and -3
  No swap needed
  Compare -3 and 78
  No swap needed
  Compare 78 and 40
  Swap 78 and 40
  List after swap: [-7, -3, 40, 78]

Pass 2:
  Compare -7 and -3
  No swap needed
  Compare -3 and 40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-7, -3, 40, 78]
</think>

<response>-7, -3, 40, 78</response>


input: Sort the list -46, -62, 51, 30 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-46, -62, 51, 30]

Pass 1:
  Compare -46 and -62
  Swap -46 and -62
  List after swap: [-62, -46, 51, 30]
  Compare -46 and 51
  No swap needed
  Compare 51 and 30
  Swap 51 and 30
  List after swap: [-62, -46, 30, 51]

Pass 2:
  Compare -62 and -46
  No swap needed
  Compare -46 and 30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -46, 30, 51]
</think>

<response>-62, -46, 30, 51</response>


input: Arrange the numbers -72, 23, -11 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-72, 23, -11]

Pass 1:
  Compare -72 and 23
  No swap needed
  Compare 23 and -11
  Swap 23 and -11
  List after swap: [-72, -11, 23]

Pass 2:
  Compare -72 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -11, 23]
</think>

<response>-72, -11, 23</response>


input: Using the bubble sort method, sort 20, 62, 85, -81, -20, 0, -4, -76 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [20, 62, 85, -81, -20, 0, -4, -76]

Pass 1:
  Compare 20 and 62
  No swap needed
  Compare 62 and 85
  No swap needed
  Compare 85 and -81
  Swap 85 and -81
  List after swap: [20, 62, -81, 85, -20, 0, -4, -76]
  Compare 85 and -20
  Swap 85 and -20
  List after swap: [20, 62, -81, -20, 85, 0, -4, -76]
  Compare 85 and 0
  Swap 85 and 0
  List after swap: [20, 62, -81, -20, 0, 85, -4, -76]
  Compare 85 and -4
  Swap 85 and -4
  List after swap: [20, 62, -81, -20, 0, -4, 85, -76]
  Compare 85 and -76
  Swap 85 and -76
  List after swap: [20, 62, -81, -20, 0, -4, -76, 85]

Pass 2:
  Compare 20 and 62
  No swap needed
  Compare 62 and -81
  Swap 62 and -81
  List after swap: [20, -81, 62, -20, 0, -4, -76, 85]
  Compare 62 and -20
  Swap 62 and -20
  List after swap: [20, -81, -20, 62, 0, -4, -76, 85]
  Compare 62 and 0
  Swap 62 and 0
  List after swap: [20, -81, -20, 0, 62, -4, -76, 85]
  Compare 62 and -4
  Swap 62 and -4
  List after swap: [20, -81, -20, 0, -4, 62, -76, 85]
  Compare 62 and -76
  Swap 62 and -76
  List after swap: [20, -81, -20, 0, -4, -76, 62, 85]

Pass 3:
  Compare 20 and -81
  Swap 20 and -81
  List after swap: [-81, 20, -20, 0, -4, -76, 62, 85]
  Compare 20 and -20
  Swap 20 and -20
  List after swap: [-81, -20, 20, 0, -4, -76, 62, 85]
  Compare 20 and 0
  Swap 20 and 0
  List after swap: [-81, -20, 0, 20, -4, -76, 62, 85]
  Compare 20 and -4
  Swap 20 and -4
  List after swap: [-81, -20, 0, -4, 20, -76, 62, 85]
  Compare 20 and -76
  Swap 20 and -76
  List after swap: [-81, -20, 0, -4, -76, 20, 62, 85]

Pass 4:
  Compare -81 and -20
  No swap needed
  Compare -20 and 0
  No swap needed
  Compare 0 and -4
  Swap 0 and -4
  List after swap: [-81, -20, -4, 0, -76, 20, 62, 85]
  Compare 0 and -76
  Swap 0 and -76
  List after swap: [-81, -20, -4, -76, 0, 20, 62, 85]

Pass 5:
  Compare -81 and -20
  No swap needed
  Compare -20 and -4
  No swap needed
  Compare -4 and -76
  Swap -4 and -76
  List after swap: [-81, -20, -76, -4, 0, 20, 62, 85]

Pass 6:
  Compare -81 and -20
  No swap needed
  Compare -20 and -76
  Swap -20 and -76
  List after swap: [-81, -76, -20, -4, 0, 20, 62, 85]

Pass 7:
  Compare -81 and -76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -76, -20, -4, 0, 20, 62, 85]
</think>

<response>-81, -76, -20, -4, 0, 20, 62, 85</response>


input: Demonstrate how bubble sort orders the integers 58, -55, 64, -64, -6, -31, 53, 26 in ascending sequence, showing all steps.

output:
<think>
Initial list: [58, -55, 64, -64, -6, -31, 53, 26]

Pass 1:
  Compare 58 and -55
  Swap 58 and -55
  List after swap: [-55, 58, 64, -64, -6, -31, 53, 26]
  Compare 58 and 64
  No swap needed
  Compare 64 and -64
  Swap 64 and -64
  List after swap: [-55, 58, -64, 64, -6, -31, 53, 26]
  Compare 64 and -6
  Swap 64 and -6
  List after swap: [-55, 58, -64, -6, 64, -31, 53, 26]
  Compare 64 and -31
  Swap 64 and -31
  List after swap: [-55, 58, -64, -6, -31, 64, 53, 26]
  Compare 64 and 53
  Swap 64 and 53
  List after swap: [-55, 58, -64, -6, -31, 53, 64, 26]
  Compare 64 and 26
  Swap 64 and 26
  List after swap: [-55, 58, -64, -6, -31, 53, 26, 64]

Pass 2:
  Compare -55 and 58
  No swap needed
  Compare 58 and -64
  Swap 58 and -64
  List after swap: [-55, -64, 58, -6, -31, 53, 26, 64]
  Compare 58 and -6
  Swap 58 and -6
  List after swap: [-55, -64, -6, 58, -31, 53, 26, 64]
  Compare 58 and -31
  Swap 58 and -31
  List after swap: [-55, -64, -6, -31, 58, 53, 26, 64]
  Compare 58 and 53
  Swap 58 and 53
  List after swap: [-55, -64, -6, -31, 53, 58, 26, 64]
  Compare 58 and 26
  Swap 58 and 26
  List after swap: [-55, -64, -6, -31, 53, 26, 58, 64]

Pass 3:
  Compare -55 and -64
  Swap -55 and -64
  List after swap: [-64, -55, -6, -31, 53, 26, 58, 64]
  Compare -55 and -6
  No swap needed
  Compare -6 and -31
  Swap -6 and -31
  List after swap: [-64, -55, -31, -6, 53, 26, 58, 64]
  Compare -6 and 53
  No swap needed
  Compare 53 and 26
  Swap 53 and 26
  List after swap: [-64, -55, -31, -6, 26, 53, 58, 64]

Pass 4:
  Compare -64 and -55
  No swap needed
  Compare -55 and -31
  No swap needed
  Compare -31 and -6
  No swap needed
  Compare -6 and 26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -55, -31, -6, 26, 53, 58, 64]
</think>

<response>-64, -55, -31, -6, 26, 53, 58, 64</response>


input: Execute bubble sort to sort -50, 12, 60, 14 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-50, 12, 60, 14]

Pass 1:
  Compare -50 and 12
  No swap needed
  Compare 12 and 60
  No swap needed
  Compare 60 and 14
  Swap 60 and 14
  List after swap: [-50, 12, 14, 60]

Pass 2:
  Compare -50 and 12
  No swap needed
  Compare 12 and 14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, 12, 14, 60]
</think>

<response>-50, 12, 14, 60</response>


input: Carry out the bubble sort algorithm on 94, -8, 78, -30, 64 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [94, -8, 78, -30, 64]

Pass 1:
  Compare 94 and -8
  Swap 94 and -8
  List after swap: [-8, 94, 78, -30, 64]
  Compare 94 and 78
  Swap 94 and 78
  List after swap: [-8, 78, 94, -30, 64]
  Compare 94 and -30
  Swap 94 and -30
  List after swap: [-8, 78, -30, 94, 64]
  Compare 94 and 64
  Swap 94 and 64
  List after swap: [-8, 78, -30, 64, 94]

Pass 2:
  Compare -8 and 78
  No swap needed
  Compare 78 and -30
  Swap 78 and -30
  List after swap: [-8, -30, 78, 64, 94]
  Compare 78 and 64
  Swap 78 and 64
  List after swap: [-8, -30, 64, 78, 94]

Pass 3:
  Compare -8 and -30
  Swap -8 and -30
  List after swap: [-30, -8, 64, 78, 94]
  Compare -8 and 64
  No swap needed

Pass 4:
  Compare -30 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-30, -8, 64, 78, 94]
</think>

<response>-30, -8, 64, 78, 94</response>


input: Use the bubble sort technique to reorder 43, -3, -52 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [43, -3, -52]

Pass 1:
  Compare 43 and -3
  Swap 43 and -3
  List after swap: [-3, 43, -52]
  Compare 43 and -52
  Swap 43 and -52
  List after swap: [-3, -52, 43]

Pass 2:
  Compare -3 and -52
  Swap -3 and -52
  List after swap: [-52, -3, 43]

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

Final sorted list: [-52, -3, 43]
</think>

<response>-52, -3, 43</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 79, 39, 91, 94, 82.

output:
<think>
Initial list: [79, 39, 91, 94, 82]

Pass 1:
  Compare 79 and 39
  Swap 79 and 39
  List after swap: [39, 79, 91, 94, 82]
  Compare 79 and 91
  No swap needed
  Compare 91 and 94
  No swap needed
  Compare 94 and 82
  Swap 94 and 82
  List after swap: [39, 79, 91, 82, 94]

Pass 2:
  Compare 39 and 79
  No swap needed
  Compare 79 and 91
  No swap needed
  Compare 91 and 82
  Swap 91 and 82
  List after swap: [39, 79, 82, 91, 94]

Pass 3:
  Compare 39 and 79
  No swap needed
  Compare 79 and 82
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [39, 79, 82, 91, 94]
</think>

<response>39, 79, 82, 91, 94</response>


input: Perform a bubble sort on the integers 94, 54, 63, -32, 44, 92, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [94, 54, 63, -32, 44, 92]

Pass 1:
  Compare 94 and 54
  Swap 94 and 54
  List after swap: [54, 94, 63, -32, 44, 92]
  Compare 94 and 63
  Swap 94 and 63
  List after swap: [54, 63, 94, -32, 44, 92]
  Compare 94 and -32
  Swap 94 and -32
  List after swap: [54, 63, -32, 94, 44, 92]
  Compare 94 and 44
  Swap 94 and 44
  List after swap: [54, 63, -32, 44, 94, 92]
  Compare 94 and 92
  Swap 94 and 92
  List after swap: [54, 63, -32, 44, 92, 94]

Pass 2:
  Compare 54 and 63
  No swap needed
  Compare 63 and -32
  Swap 63 and -32
  List after swap: [54, -32, 63, 44, 92, 94]
  Compare 63 and 44
  Swap 63 and 44
  List after swap: [54, -32, 44, 63, 92, 94]
  Compare 63 and 92
  No swap needed

Pass 3:
  Compare 54 and -32
  Swap 54 and -32
  List after swap: [-32, 54, 44, 63, 92, 94]
  Compare 54 and 44
  Swap 54 and 44
  List after swap: [-32, 44, 54, 63, 92, 94]
  Compare 54 and 63
  No swap needed

Pass 4:
  Compare -32 and 44
  No swap needed
  Compare 44 and 54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-32, 44, 54, 63, 92, 94]
</think>

<response>-32, 44, 54, 63, 92, 94</response>


input: Carry out the bubble sort algorithm on -7, -15, 24, 28, 4, -36, -63, -68 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-7, -15, 24, 28, 4, -36, -63, -68]

Pass 1:
  Compare -7 and -15
  Swap -7 and -15
  List after swap: [-15, -7, 24, 28, 4, -36, -63, -68]
  Compare -7 and 24
  No swap needed
  Compare 24 and 28
  No swap needed
  Compare 28 and 4
  Swap 28 and 4
  List after swap: [-15, -7, 24, 4, 28, -36, -63, -68]
  Compare 28 and -36
  Swap 28 and -36
  List after swap: [-15, -7, 24, 4, -36, 28, -63, -68]
  Compare 28 and -63
  Swap 28 and -63
  List after swap: [-15, -7, 24, 4, -36, -63, 28, -68]
  Compare 28 and -68
  Swap 28 and -68
  List after swap: [-15, -7, 24, 4, -36, -63, -68, 28]

Pass 2:
  Compare -15 and -7
  No swap needed
  Compare -7 and 24
  No swap needed
  Compare 24 and 4
  Swap 24 and 4
  List after swap: [-15, -7, 4, 24, -36, -63, -68, 28]
  Compare 24 and -36
  Swap 24 and -36
  List after swap: [-15, -7, 4, -36, 24, -63, -68, 28]
  Compare 24 and -63
  Swap 24 and -63
  List after swap: [-15, -7, 4, -36, -63, 24, -68, 28]
  Compare 24 and -68
  Swap 24 and -68
  List after swap: [-15, -7, 4, -36, -63, -68, 24, 28]

Pass 3:
  Compare -15 and -7
  No swap needed
  Compare -7 and 4
  No swap needed
  Compare 4 and -36
  Swap 4 and -36
  List after swap: [-15, -7, -36, 4, -63, -68, 24, 28]
  Compare 4 and -63
  Swap 4 and -63
  List after swap: [-15, -7, -36, -63, 4, -68, 24, 28]
  Compare 4 and -68
  Swap 4 and -68
  List after swap: [-15, -7, -36, -63, -68, 4, 24, 28]

Pass 4:
  Compare -15 and -7
  No swap needed
  Compare -7 and -36
  Swap -7 and -36
  List after swap: [-15, -36, -7, -63, -68, 4, 24, 28]
  Compare -7 and -63
  Swap -7 and -63
  List after swap: [-15, -36, -63, -7, -68, 4, 24, 28]
  Compare -7 and -68
  Swap -7 and -68
  List after swap: [-15, -36, -63, -68, -7, 4, 24, 28]

Pass 5:
  Compare -15 and -36
  Swap -15 and -36
  List after swap: [-36, -15, -63, -68, -7, 4, 24, 28]
  Compare -15 and -63
  Swap -15 and -63
  List after swap: [-36, -63, -15, -68, -7, 4, 24, 28]
  Compare -15 and -68
  Swap -15 and -68
  List after swap: [-36, -63, -68, -15, -7, 4, 24, 28]

Pass 6:
  Compare -36 and -63
  Swap -36 and -63
  List after swap: [-63, -36, -68, -15, -7, 4, 24, 28]
  Compare -36 and -68
  Swap -36 and -68
  List after swap: [-63, -68, -36, -15, -7, 4, 24, 28]

Pass 7:
  Compare -63 and -68
  Swap -63 and -68
  List after swap: [-68, -63, -36, -15, -7, 4, 24, 28]

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

Final sorted list: [-68, -63, -36, -15, -7, 4, 24, 28]
</think>

<response>-68, -63, -36, -15, -7, 4, 24, 28</response>