input: Use bubble sort to organize these integers in increasing order and record each step taken: -33, 68, -44, -81, -10, -71, -49, 46.

output:
<think>
Initial list: [-33, 68, -44, -81, -10, -71, -49, 46]

Pass 1:
  Compare -33 and 68
  No swap needed
  Compare 68 and -44
  Swap 68 and -44
  List after swap: [-33, -44, 68, -81, -10, -71, -49, 46]
  Compare 68 and -81
  Swap 68 and -81
  List after swap: [-33, -44, -81, 68, -10, -71, -49, 46]
  Compare 68 and -10
  Swap 68 and -10
  List after swap: [-33, -44, -81, -10, 68, -71, -49, 46]
  Compare 68 and -71
  Swap 68 and -71
  List after swap: [-33, -44, -81, -10, -71, 68, -49, 46]
  Compare 68 and -49
  Swap 68 and -49
  List after swap: [-33, -44, -81, -10, -71, -49, 68, 46]
  Compare 68 and 46
  Swap 68 and 46
  List after swap: [-33, -44, -81, -10, -71, -49, 46, 68]

Pass 2:
  Compare -33 and -44
  Swap -33 and -44
  List after swap: [-44, -33, -81, -10, -71, -49, 46, 68]
  Compare -33 and -81
  Swap -33 and -81
  List after swap: [-44, -81, -33, -10, -71, -49, 46, 68]
  Compare -33 and -10
  No swap needed
  Compare -10 and -71
  Swap -10 and -71
  List after swap: [-44, -81, -33, -71, -10, -49, 46, 68]
  Compare -10 and -49
  Swap -10 and -49
  List after swap: [-44, -81, -33, -71, -49, -10, 46, 68]
  Compare -10 and 46
  No swap needed

Pass 3:
  Compare -44 and -81
  Swap -44 and -81
  List after swap: [-81, -44, -33, -71, -49, -10, 46, 68]
  Compare -44 and -33
  No swap needed
  Compare -33 and -71
  Swap -33 and -71
  List after swap: [-81, -44, -71, -33, -49, -10, 46, 68]
  Compare -33 and -49
  Swap -33 and -49
  List after swap: [-81, -44, -71, -49, -33, -10, 46, 68]
  Compare -33 and -10
  No swap needed

Pass 4:
  Compare -81 and -44
  No swap needed
  Compare -44 and -71
  Swap -44 and -71
  List after swap: [-81, -71, -44, -49, -33, -10, 46, 68]
  Compare -44 and -49
  Swap -44 and -49
  List after swap: [-81, -71, -49, -44, -33, -10, 46, 68]
  Compare -44 and -33
  No swap needed

Pass 5:
  Compare -81 and -71
  No swap needed
  Compare -71 and -49
  No swap needed
  Compare -49 and -44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -71, -49, -44, -33, -10, 46, 68]
</think>

<response>-81, -71, -49, -44, -33, -10, 46, 68</response>


input: Using the bubble sort method, sort -79, -83, 71, -5, 75, 97, -97, -2, 59 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-79, -83, 71, -5, 75, 97, -97, -2, 59]

Pass 1:
  Compare -79 and -83
  Swap -79 and -83
  List after swap: [-83, -79, 71, -5, 75, 97, -97, -2, 59]
  Compare -79 and 71
  No swap needed
  Compare 71 and -5
  Swap 71 and -5
  List after swap: [-83, -79, -5, 71, 75, 97, -97, -2, 59]
  Compare 71 and 75
  No swap needed
  Compare 75 and 97
  No swap needed
  Compare 97 and -97
  Swap 97 and -97
  List after swap: [-83, -79, -5, 71, 75, -97, 97, -2, 59]
  Compare 97 and -2
  Swap 97 and -2
  List after swap: [-83, -79, -5, 71, 75, -97, -2, 97, 59]
  Compare 97 and 59
  Swap 97 and 59
  List after swap: [-83, -79, -5, 71, 75, -97, -2, 59, 97]

Pass 2:
  Compare -83 and -79
  No swap needed
  Compare -79 and -5
  No swap needed
  Compare -5 and 71
  No swap needed
  Compare 71 and 75
  No swap needed
  Compare 75 and -97
  Swap 75 and -97
  List after swap: [-83, -79, -5, 71, -97, 75, -2, 59, 97]
  Compare 75 and -2
  Swap 75 and -2
  List after swap: [-83, -79, -5, 71, -97, -2, 75, 59, 97]
  Compare 75 and 59
  Swap 75 and 59
  List after swap: [-83, -79, -5, 71, -97, -2, 59, 75, 97]

Pass 3:
  Compare -83 and -79
  No swap needed
  Compare -79 and -5
  No swap needed
  Compare -5 and 71
  No swap needed
  Compare 71 and -97
  Swap 71 and -97
  List after swap: [-83, -79, -5, -97, 71, -2, 59, 75, 97]
  Compare 71 and -2
  Swap 71 and -2
  List after swap: [-83, -79, -5, -97, -2, 71, 59, 75, 97]
  Compare 71 and 59
  Swap 71 and 59
  List after swap: [-83, -79, -5, -97, -2, 59, 71, 75, 97]

Pass 4:
  Compare -83 and -79
  No swap needed
  Compare -79 and -5
  No swap needed
  Compare -5 and -97
  Swap -5 and -97
  List after swap: [-83, -79, -97, -5, -2, 59, 71, 75, 97]
  Compare -5 and -2
  No swap needed
  Compare -2 and 59
  No swap needed

Pass 5:
  Compare -83 and -79
  No swap needed
  Compare -79 and -97
  Swap -79 and -97
  List after swap: [-83, -97, -79, -5, -2, 59, 71, 75, 97]
  Compare -79 and -5
  No swap needed
  Compare -5 and -2
  No swap needed

Pass 6:
  Compare -83 and -97
  Swap -83 and -97
  List after swap: [-97, -83, -79, -5, -2, 59, 71, 75, 97]
  Compare -83 and -79
  No swap needed
  Compare -79 and -5
  No swap needed

Pass 7:
  Compare -97 and -83
  No swap needed
  Compare -83 and -79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -83, -79, -5, -2, 59, 71, 75, 97]
</think>

<response>-97, -83, -79, -5, -2, 59, 71, 75, 97</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 51, -48, -15, -41, -65, 91, 61, -69, -71.

output:
<think>
Initial list: [51, -48, -15, -41, -65, 91, 61, -69, -71]

Pass 1:
  Compare 51 and -48
  Swap 51 and -48
  List after swap: [-48, 51, -15, -41, -65, 91, 61, -69, -71]
  Compare 51 and -15
  Swap 51 and -15
  List after swap: [-48, -15, 51, -41, -65, 91, 61, -69, -71]
  Compare 51 and -41
  Swap 51 and -41
  List after swap: [-48, -15, -41, 51, -65, 91, 61, -69, -71]
  Compare 51 and -65
  Swap 51 and -65
  List after swap: [-48, -15, -41, -65, 51, 91, 61, -69, -71]
  Compare 51 and 91
  No swap needed
  Compare 91 and 61
  Swap 91 and 61
  List after swap: [-48, -15, -41, -65, 51, 61, 91, -69, -71]
  Compare 91 and -69
  Swap 91 and -69
  List after swap: [-48, -15, -41, -65, 51, 61, -69, 91, -71]
  Compare 91 and -71
  Swap 91 and -71
  List after swap: [-48, -15, -41, -65, 51, 61, -69, -71, 91]

Pass 2:
  Compare -48 and -15
  No swap needed
  Compare -15 and -41
  Swap -15 and -41
  List after swap: [-48, -41, -15, -65, 51, 61, -69, -71, 91]
  Compare -15 and -65
  Swap -15 and -65
  List after swap: [-48, -41, -65, -15, 51, 61, -69, -71, 91]
  Compare -15 and 51
  No swap needed
  Compare 51 and 61
  No swap needed
  Compare 61 and -69
  Swap 61 and -69
  List after swap: [-48, -41, -65, -15, 51, -69, 61, -71, 91]
  Compare 61 and -71
  Swap 61 and -71
  List after swap: [-48, -41, -65, -15, 51, -69, -71, 61, 91]

Pass 3:
  Compare -48 and -41
  No swap needed
  Compare -41 and -65
  Swap -41 and -65
  List after swap: [-48, -65, -41, -15, 51, -69, -71, 61, 91]
  Compare -41 and -15
  No swap needed
  Compare -15 and 51
  No swap needed
  Compare 51 and -69
  Swap 51 and -69
  List after swap: [-48, -65, -41, -15, -69, 51, -71, 61, 91]
  Compare 51 and -71
  Swap 51 and -71
  List after swap: [-48, -65, -41, -15, -69, -71, 51, 61, 91]

Pass 4:
  Compare -48 and -65
  Swap -48 and -65
  List after swap: [-65, -48, -41, -15, -69, -71, 51, 61, 91]
  Compare -48 and -41
  No swap needed
  Compare -41 and -15
  No swap needed
  Compare -15 and -69
  Swap -15 and -69
  List after swap: [-65, -48, -41, -69, -15, -71, 51, 61, 91]
  Compare -15 and -71
  Swap -15 and -71
  List after swap: [-65, -48, -41, -69, -71, -15, 51, 61, 91]

Pass 5:
  Compare -65 and -48
  No swap needed
  Compare -48 and -41
  No swap needed
  Compare -41 and -69
  Swap -41 and -69
  List after swap: [-65, -48, -69, -41, -71, -15, 51, 61, 91]
  Compare -41 and -71
  Swap -41 and -71
  List after swap: [-65, -48, -69, -71, -41, -15, 51, 61, 91]

Pass 6:
  Compare -65 and -48
  No swap needed
  Compare -48 and -69
  Swap -48 and -69
  List after swap: [-65, -69, -48, -71, -41, -15, 51, 61, 91]
  Compare -48 and -71
  Swap -48 and -71
  List after swap: [-65, -69, -71, -48, -41, -15, 51, 61, 91]

Pass 7:
  Compare -65 and -69
  Swap -65 and -69
  List after swap: [-69, -65, -71, -48, -41, -15, 51, 61, 91]
  Compare -65 and -71
  Swap -65 and -71
  List after swap: [-69, -71, -65, -48, -41, -15, 51, 61, 91]

Pass 8:
  Compare -69 and -71
  Swap -69 and -71
  List after swap: [-71, -69, -65, -48, -41, -15, 51, 61, 91]

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

Final sorted list: [-71, -69, -65, -48, -41, -15, 51, 61, 91]
</think>

<response>-71, -69, -65, -48, -41, -15, 51, 61, 91</response>


input: Implement bubble sort on 50, -98, 73, -61, -23 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [50, -98, 73, -61, -23]

Pass 1:
  Compare 50 and -98
  Swap 50 and -98
  List after swap: [-98, 50, 73, -61, -23]
  Compare 50 and 73
  No swap needed
  Compare 73 and -61
  Swap 73 and -61
  List after swap: [-98, 50, -61, 73, -23]
  Compare 73 and -23
  Swap 73 and -23
  List after swap: [-98, 50, -61, -23, 73]

Pass 2:
  Compare -98 and 50
  No swap needed
  Compare 50 and -61
  Swap 50 and -61
  List after swap: [-98, -61, 50, -23, 73]
  Compare 50 and -23
  Swap 50 and -23
  List after swap: [-98, -61, -23, 50, 73]

Pass 3:
  Compare -98 and -61
  No swap needed
  Compare -61 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -61, -23, 50, 73]
</think>

<response>-98, -61, -23, 50, 73</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -80, -25, 75, -34, 96, -3, -23, 65.

output:
<think>
Initial list: [-80, -25, 75, -34, 96, -3, -23, 65]

Pass 1:
  Compare -80 and -25
  No swap needed
  Compare -25 and 75
  No swap needed
  Compare 75 and -34
  Swap 75 and -34
  List after swap: [-80, -25, -34, 75, 96, -3, -23, 65]
  Compare 75 and 96
  No swap needed
  Compare 96 and -3
  Swap 96 and -3
  List after swap: [-80, -25, -34, 75, -3, 96, -23, 65]
  Compare 96 and -23
  Swap 96 and -23
  List after swap: [-80, -25, -34, 75, -3, -23, 96, 65]
  Compare 96 and 65
  Swap 96 and 65
  List after swap: [-80, -25, -34, 75, -3, -23, 65, 96]

Pass 2:
  Compare -80 and -25
  No swap needed
  Compare -25 and -34
  Swap -25 and -34
  List after swap: [-80, -34, -25, 75, -3, -23, 65, 96]
  Compare -25 and 75
  No swap needed
  Compare 75 and -3
  Swap 75 and -3
  List after swap: [-80, -34, -25, -3, 75, -23, 65, 96]
  Compare 75 and -23
  Swap 75 and -23
  List after swap: [-80, -34, -25, -3, -23, 75, 65, 96]
  Compare 75 and 65
  Swap 75 and 65
  List after swap: [-80, -34, -25, -3, -23, 65, 75, 96]

Pass 3:
  Compare -80 and -34
  No swap needed
  Compare -34 and -25
  No swap needed
  Compare -25 and -3
  No swap needed
  Compare -3 and -23
  Swap -3 and -23
  List after swap: [-80, -34, -25, -23, -3, 65, 75, 96]
  Compare -3 and 65
  No swap needed

Pass 4:
  Compare -80 and -34
  No swap needed
  Compare -34 and -25
  No swap needed
  Compare -25 and -23
  No swap needed
  Compare -23 and -3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -34, -25, -23, -3, 65, 75, 96]
</think>

<response>-80, -34, -25, -23, -3, 65, 75, 96</response>


input: Using the bubble sort method, sort -52, 19, -39, -59 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-52, 19, -39, -59]

Pass 1:
  Compare -52 and 19
  No swap needed
  Compare 19 and -39
  Swap 19 and -39
  List after swap: [-52, -39, 19, -59]
  Compare 19 and -59
  Swap 19 and -59
  List after swap: [-52, -39, -59, 19]

Pass 2:
  Compare -52 and -39
  No swap needed
  Compare -39 and -59
  Swap -39 and -59
  List after swap: [-52, -59, -39, 19]

Pass 3:
  Compare -52 and -59
  Swap -52 and -59
  List after swap: [-59, -52, -39, 19]

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

Final sorted list: [-59, -52, -39, 19]
</think>

<response>-59, -52, -39, 19</response>


input: Use the bubble sort technique to reorder -32, -50, 66 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-32, -50, 66]

Pass 1:
  Compare -32 and -50
  Swap -32 and -50
  List after swap: [-50, -32, 66]
  Compare -32 and 66
  No swap needed

Pass 2:
  Compare -50 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, -32, 66]
</think>

<response>-50, -32, 66</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -49, -89.

output:
<think>
Initial list: [-49, -89]

Pass 1:
  Compare -49 and -89
  Swap -49 and -89
  List after swap: [-89, -49]

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

Final sorted list: [-89, -49]
</think>

<response>-89, -49</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 7, -71, -39, 10, -15.

output:
<think>
Initial list: [7, -71, -39, 10, -15]

Pass 1:
  Compare 7 and -71
  Swap 7 and -71
  List after swap: [-71, 7, -39, 10, -15]
  Compare 7 and -39
  Swap 7 and -39
  List after swap: [-71, -39, 7, 10, -15]
  Compare 7 and 10
  No swap needed
  Compare 10 and -15
  Swap 10 and -15
  List after swap: [-71, -39, 7, -15, 10]

Pass 2:
  Compare -71 and -39
  No swap needed
  Compare -39 and 7
  No swap needed
  Compare 7 and -15
  Swap 7 and -15
  List after swap: [-71, -39, -15, 7, 10]

Pass 3:
  Compare -71 and -39
  No swap needed
  Compare -39 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -39, -15, 7, 10]
</think>

<response>-71, -39, -15, 7, 10</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -42, 97, 74, 69, -40.

output:
<think>
Initial list: [-42, 97, 74, 69, -40]

Pass 1:
  Compare -42 and 97
  No swap needed
  Compare 97 and 74
  Swap 97 and 74
  List after swap: [-42, 74, 97, 69, -40]
  Compare 97 and 69
  Swap 97 and 69
  List after swap: [-42, 74, 69, 97, -40]
  Compare 97 and -40
  Swap 97 and -40
  List after swap: [-42, 74, 69, -40, 97]

Pass 2:
  Compare -42 and 74
  No swap needed
  Compare 74 and 69
  Swap 74 and 69
  List after swap: [-42, 69, 74, -40, 97]
  Compare 74 and -40
  Swap 74 and -40
  List after swap: [-42, 69, -40, 74, 97]

Pass 3:
  Compare -42 and 69
  No swap needed
  Compare 69 and -40
  Swap 69 and -40
  List after swap: [-42, -40, 69, 74, 97]

Pass 4:
  Compare -42 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-42, -40, 69, 74, 97]
</think>

<response>-42, -40, 69, 74, 97</response>


input: Perform a bubble sort on the integers 99, 86, -47, 61, 80, 54, -95, 7, -40, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [99, 86, -47, 61, 80, 54, -95, 7, -40]

Pass 1:
  Compare 99 and 86
  Swap 99 and 86
  List after swap: [86, 99, -47, 61, 80, 54, -95, 7, -40]
  Compare 99 and -47
  Swap 99 and -47
  List after swap: [86, -47, 99, 61, 80, 54, -95, 7, -40]
  Compare 99 and 61
  Swap 99 and 61
  List after swap: [86, -47, 61, 99, 80, 54, -95, 7, -40]
  Compare 99 and 80
  Swap 99 and 80
  List after swap: [86, -47, 61, 80, 99, 54, -95, 7, -40]
  Compare 99 and 54
  Swap 99 and 54
  List after swap: [86, -47, 61, 80, 54, 99, -95, 7, -40]
  Compare 99 and -95
  Swap 99 and -95
  List after swap: [86, -47, 61, 80, 54, -95, 99, 7, -40]
  Compare 99 and 7
  Swap 99 and 7
  List after swap: [86, -47, 61, 80, 54, -95, 7, 99, -40]
  Compare 99 and -40
  Swap 99 and -40
  List after swap: [86, -47, 61, 80, 54, -95, 7, -40, 99]

Pass 2:
  Compare 86 and -47
  Swap 86 and -47
  List after swap: [-47, 86, 61, 80, 54, -95, 7, -40, 99]
  Compare 86 and 61
  Swap 86 and 61
  List after swap: [-47, 61, 86, 80, 54, -95, 7, -40, 99]
  Compare 86 and 80
  Swap 86 and 80
  List after swap: [-47, 61, 80, 86, 54, -95, 7, -40, 99]
  Compare 86 and 54
  Swap 86 and 54
  List after swap: [-47, 61, 80, 54, 86, -95, 7, -40, 99]
  Compare 86 and -95
  Swap 86 and -95
  List after swap: [-47, 61, 80, 54, -95, 86, 7, -40, 99]
  Compare 86 and 7
  Swap 86 and 7
  List after swap: [-47, 61, 80, 54, -95, 7, 86, -40, 99]
  Compare 86 and -40
  Swap 86 and -40
  List after swap: [-47, 61, 80, 54, -95, 7, -40, 86, 99]

Pass 3:
  Compare -47 and 61
  No swap needed
  Compare 61 and 80
  No swap needed
  Compare 80 and 54
  Swap 80 and 54
  List after swap: [-47, 61, 54, 80, -95, 7, -40, 86, 99]
  Compare 80 and -95
  Swap 80 and -95
  List after swap: [-47, 61, 54, -95, 80, 7, -40, 86, 99]
  Compare 80 and 7
  Swap 80 and 7
  List after swap: [-47, 61, 54, -95, 7, 80, -40, 86, 99]
  Compare 80 and -40
  Swap 80 and -40
  List after swap: [-47, 61, 54, -95, 7, -40, 80, 86, 99]

Pass 4:
  Compare -47 and 61
  No swap needed
  Compare 61 and 54
  Swap 61 and 54
  List after swap: [-47, 54, 61, -95, 7, -40, 80, 86, 99]
  Compare 61 and -95
  Swap 61 and -95
  List after swap: [-47, 54, -95, 61, 7, -40, 80, 86, 99]
  Compare 61 and 7
  Swap 61 and 7
  List after swap: [-47, 54, -95, 7, 61, -40, 80, 86, 99]
  Compare 61 and -40
  Swap 61 and -40
  List after swap: [-47, 54, -95, 7, -40, 61, 80, 86, 99]

Pass 5:
  Compare -47 and 54
  No swap needed
  Compare 54 and -95
  Swap 54 and -95
  List after swap: [-47, -95, 54, 7, -40, 61, 80, 86, 99]
  Compare 54 and 7
  Swap 54 and 7
  List after swap: [-47, -95, 7, 54, -40, 61, 80, 86, 99]
  Compare 54 and -40
  Swap 54 and -40
  List after swap: [-47, -95, 7, -40, 54, 61, 80, 86, 99]

Pass 6:
  Compare -47 and -95
  Swap -47 and -95
  List after swap: [-95, -47, 7, -40, 54, 61, 80, 86, 99]
  Compare -47 and 7
  No swap needed
  Compare 7 and -40
  Swap 7 and -40
  List after swap: [-95, -47, -40, 7, 54, 61, 80, 86, 99]

Pass 7:
  Compare -95 and -47
  No swap needed
  Compare -47 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -47, -40, 7, 54, 61, 80, 86, 99]
</think>

<response>-95, -47, -40, 7, 54, 61, 80, 86, 99</response>


input: Execute bubble sort to sort -27, 12, -46, -24, -13 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-27, 12, -46, -24, -13]

Pass 1:
  Compare -27 and 12
  No swap needed
  Compare 12 and -46
  Swap 12 and -46
  List after swap: [-27, -46, 12, -24, -13]
  Compare 12 and -24
  Swap 12 and -24
  List after swap: [-27, -46, -24, 12, -13]
  Compare 12 and -13
  Swap 12 and -13
  List after swap: [-27, -46, -24, -13, 12]

Pass 2:
  Compare -27 and -46
  Swap -27 and -46
  List after swap: [-46, -27, -24, -13, 12]
  Compare -27 and -24
  No swap needed
  Compare -24 and -13
  No swap needed

Pass 3:
  Compare -46 and -27
  No swap needed
  Compare -27 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-46, -27, -24, -13, 12]
</think>

<response>-46, -27, -24, -13, 12</response>


input: Sort these integers 96, 76, 82, 37, -70, 70 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [96, 76, 82, 37, -70, 70]

Pass 1:
  Compare 96 and 76
  Swap 96 and 76
  List after swap: [76, 96, 82, 37, -70, 70]
  Compare 96 and 82
  Swap 96 and 82
  List after swap: [76, 82, 96, 37, -70, 70]
  Compare 96 and 37
  Swap 96 and 37
  List after swap: [76, 82, 37, 96, -70, 70]
  Compare 96 and -70
  Swap 96 and -70
  List after swap: [76, 82, 37, -70, 96, 70]
  Compare 96 and 70
  Swap 96 and 70
  List after swap: [76, 82, 37, -70, 70, 96]

Pass 2:
  Compare 76 and 82
  No swap needed
  Compare 82 and 37
  Swap 82 and 37
  List after swap: [76, 37, 82, -70, 70, 96]
  Compare 82 and -70
  Swap 82 and -70
  List after swap: [76, 37, -70, 82, 70, 96]
  Compare 82 and 70
  Swap 82 and 70
  List after swap: [76, 37, -70, 70, 82, 96]

Pass 3:
  Compare 76 and 37
  Swap 76 and 37
  List after swap: [37, 76, -70, 70, 82, 96]
  Compare 76 and -70
  Swap 76 and -70
  List after swap: [37, -70, 76, 70, 82, 96]
  Compare 76 and 70
  Swap 76 and 70
  List after swap: [37, -70, 70, 76, 82, 96]

Pass 4:
  Compare 37 and -70
  Swap 37 and -70
  List after swap: [-70, 37, 70, 76, 82, 96]
  Compare 37 and 70
  No swap needed

Pass 5:
  Compare -70 and 37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, 37, 70, 76, 82, 96]
</think>

<response>-70, 37, 70, 76, 82, 96</response>


input: Arrange the numbers -15, -47, 67, -85, 32, -86, -7 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-15, -47, 67, -85, 32, -86, -7]

Pass 1:
  Compare -15 and -47
  Swap -15 and -47
  List after swap: [-47, -15, 67, -85, 32, -86, -7]
  Compare -15 and 67
  No swap needed
  Compare 67 and -85
  Swap 67 and -85
  List after swap: [-47, -15, -85, 67, 32, -86, -7]
  Compare 67 and 32
  Swap 67 and 32
  List after swap: [-47, -15, -85, 32, 67, -86, -7]
  Compare 67 and -86
  Swap 67 and -86
  List after swap: [-47, -15, -85, 32, -86, 67, -7]
  Compare 67 and -7
  Swap 67 and -7
  List after swap: [-47, -15, -85, 32, -86, -7, 67]

Pass 2:
  Compare -47 and -15
  No swap needed
  Compare -15 and -85
  Swap -15 and -85
  List after swap: [-47, -85, -15, 32, -86, -7, 67]
  Compare -15 and 32
  No swap needed
  Compare 32 and -86
  Swap 32 and -86
  List after swap: [-47, -85, -15, -86, 32, -7, 67]
  Compare 32 and -7
  Swap 32 and -7
  List after swap: [-47, -85, -15, -86, -7, 32, 67]

Pass 3:
  Compare -47 and -85
  Swap -47 and -85
  List after swap: [-85, -47, -15, -86, -7, 32, 67]
  Compare -47 and -15
  No swap needed
  Compare -15 and -86
  Swap -15 and -86
  List after swap: [-85, -47, -86, -15, -7, 32, 67]
  Compare -15 and -7
  No swap needed

Pass 4:
  Compare -85 and -47
  No swap needed
  Compare -47 and -86
  Swap -47 and -86
  List after swap: [-85, -86, -47, -15, -7, 32, 67]
  Compare -47 and -15
  No swap needed

Pass 5:
  Compare -85 and -86
  Swap -85 and -86
  List after swap: [-86, -85, -47, -15, -7, 32, 67]
  Compare -85 and -47
  No swap needed

Pass 6:
  Compare -86 and -85
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -85, -47, -15, -7, 32, 67]
</think>

<response>-86, -85, -47, -15, -7, 32, 67</response>


input: Demonstrate how bubble sort orders the integers 52, 86, -18, -75, -56, 99, -39, 6, 43 in ascending sequence, showing all steps.

output:
<think>
Initial list: [52, 86, -18, -75, -56, 99, -39, 6, 43]

Pass 1:
  Compare 52 and 86
  No swap needed
  Compare 86 and -18
  Swap 86 and -18
  List after swap: [52, -18, 86, -75, -56, 99, -39, 6, 43]
  Compare 86 and -75
  Swap 86 and -75
  List after swap: [52, -18, -75, 86, -56, 99, -39, 6, 43]
  Compare 86 and -56
  Swap 86 and -56
  List after swap: [52, -18, -75, -56, 86, 99, -39, 6, 43]
  Compare 86 and 99
  No swap needed
  Compare 99 and -39
  Swap 99 and -39
  List after swap: [52, -18, -75, -56, 86, -39, 99, 6, 43]
  Compare 99 and 6
  Swap 99 and 6
  List after swap: [52, -18, -75, -56, 86, -39, 6, 99, 43]
  Compare 99 and 43
  Swap 99 and 43
  List after swap: [52, -18, -75, -56, 86, -39, 6, 43, 99]

Pass 2:
  Compare 52 and -18
  Swap 52 and -18
  List after swap: [-18, 52, -75, -56, 86, -39, 6, 43, 99]
  Compare 52 and -75
  Swap 52 and -75
  List after swap: [-18, -75, 52, -56, 86, -39, 6, 43, 99]
  Compare 52 and -56
  Swap 52 and -56
  List after swap: [-18, -75, -56, 52, 86, -39, 6, 43, 99]
  Compare 52 and 86
  No swap needed
  Compare 86 and -39
  Swap 86 and -39
  List after swap: [-18, -75, -56, 52, -39, 86, 6, 43, 99]
  Compare 86 and 6
  Swap 86 and 6
  List after swap: [-18, -75, -56, 52, -39, 6, 86, 43, 99]
  Compare 86 and 43
  Swap 86 and 43
  List after swap: [-18, -75, -56, 52, -39, 6, 43, 86, 99]

Pass 3:
  Compare -18 and -75
  Swap -18 and -75
  List after swap: [-75, -18, -56, 52, -39, 6, 43, 86, 99]
  Compare -18 and -56
  Swap -18 and -56
  List after swap: [-75, -56, -18, 52, -39, 6, 43, 86, 99]
  Compare -18 and 52
  No swap needed
  Compare 52 and -39
  Swap 52 and -39
  List after swap: [-75, -56, -18, -39, 52, 6, 43, 86, 99]
  Compare 52 and 6
  Swap 52 and 6
  List after swap: [-75, -56, -18, -39, 6, 52, 43, 86, 99]
  Compare 52 and 43
  Swap 52 and 43
  List after swap: [-75, -56, -18, -39, 6, 43, 52, 86, 99]

Pass 4:
  Compare -75 and -56
  No swap needed
  Compare -56 and -18
  No swap needed
  Compare -18 and -39
  Swap -18 and -39
  List after swap: [-75, -56, -39, -18, 6, 43, 52, 86, 99]
  Compare -18 and 6
  No swap needed
  Compare 6 and 43
  No swap needed

Pass 5:
  Compare -75 and -56
  No swap needed
  Compare -56 and -39
  No swap needed
  Compare -39 and -18
  No swap needed
  Compare -18 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -56, -39, -18, 6, 43, 52, 86, 99]
</think>

<response>-75, -56, -39, -18, 6, 43, 52, 86, 99</response>


input: Demonstrate how bubble sort orders the integers -52, -99 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-52, -99]

Pass 1:
  Compare -52 and -99
  Swap -52 and -99
  List after swap: [-99, -52]

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

Final sorted list: [-99, -52]
</think>

<response>-99, -52</response>


input: Perform a bubble sort on the integers -73, -28, 18, 41, 68, 89, -76, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-73, -28, 18, 41, 68, 89, -76]

Pass 1:
  Compare -73 and -28
  No swap needed
  Compare -28 and 18
  No swap needed
  Compare 18 and 41
  No swap needed
  Compare 41 and 68
  No swap needed
  Compare 68 and 89
  No swap needed
  Compare 89 and -76
  Swap 89 and -76
  List after swap: [-73, -28, 18, 41, 68, -76, 89]

Pass 2:
  Compare -73 and -28
  No swap needed
  Compare -28 and 18
  No swap needed
  Compare 18 and 41
  No swap needed
  Compare 41 and 68
  No swap needed
  Compare 68 and -76
  Swap 68 and -76
  List after swap: [-73, -28, 18, 41, -76, 68, 89]

Pass 3:
  Compare -73 and -28
  No swap needed
  Compare -28 and 18
  No swap needed
  Compare 18 and 41
  No swap needed
  Compare 41 and -76
  Swap 41 and -76
  List after swap: [-73, -28, 18, -76, 41, 68, 89]

Pass 4:
  Compare -73 and -28
  No swap needed
  Compare -28 and 18
  No swap needed
  Compare 18 and -76
  Swap 18 and -76
  List after swap: [-73, -28, -76, 18, 41, 68, 89]

Pass 5:
  Compare -73 and -28
  No swap needed
  Compare -28 and -76
  Swap -28 and -76
  List after swap: [-73, -76, -28, 18, 41, 68, 89]

Pass 6:
  Compare -73 and -76
  Swap -73 and -76
  List after swap: [-76, -73, -28, 18, 41, 68, 89]

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

Final sorted list: [-76, -73, -28, 18, 41, 68, 89]
</think>

<response>-76, -73, -28, 18, 41, 68, 89</response>


input: Demonstrate how bubble sort orders the integers -15, 40, -94, 67, -20, -73, -86, -98, -7 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-15, 40, -94, 67, -20, -73, -86, -98, -7]

Pass 1:
  Compare -15 and 40
  No swap needed
  Compare 40 and -94
  Swap 40 and -94
  List after swap: [-15, -94, 40, 67, -20, -73, -86, -98, -7]
  Compare 40 and 67
  No swap needed
  Compare 67 and -20
  Swap 67 and -20
  List after swap: [-15, -94, 40, -20, 67, -73, -86, -98, -7]
  Compare 67 and -73
  Swap 67 and -73
  List after swap: [-15, -94, 40, -20, -73, 67, -86, -98, -7]
  Compare 67 and -86
  Swap 67 and -86
  List after swap: [-15, -94, 40, -20, -73, -86, 67, -98, -7]
  Compare 67 and -98
  Swap 67 and -98
  List after swap: [-15, -94, 40, -20, -73, -86, -98, 67, -7]
  Compare 67 and -7
  Swap 67 and -7
  List after swap: [-15, -94, 40, -20, -73, -86, -98, -7, 67]

Pass 2:
  Compare -15 and -94
  Swap -15 and -94
  List after swap: [-94, -15, 40, -20, -73, -86, -98, -7, 67]
  Compare -15 and 40
  No swap needed
  Compare 40 and -20
  Swap 40 and -20
  List after swap: [-94, -15, -20, 40, -73, -86, -98, -7, 67]
  Compare 40 and -73
  Swap 40 and -73
  List after swap: [-94, -15, -20, -73, 40, -86, -98, -7, 67]
  Compare 40 and -86
  Swap 40 and -86
  List after swap: [-94, -15, -20, -73, -86, 40, -98, -7, 67]
  Compare 40 and -98
  Swap 40 and -98
  List after swap: [-94, -15, -20, -73, -86, -98, 40, -7, 67]
  Compare 40 and -7
  Swap 40 and -7
  List after swap: [-94, -15, -20, -73, -86, -98, -7, 40, 67]

Pass 3:
  Compare -94 and -15
  No swap needed
  Compare -15 and -20
  Swap -15 and -20
  List after swap: [-94, -20, -15, -73, -86, -98, -7, 40, 67]
  Compare -15 and -73
  Swap -15 and -73
  List after swap: [-94, -20, -73, -15, -86, -98, -7, 40, 67]
  Compare -15 and -86
  Swap -15 and -86
  List after swap: [-94, -20, -73, -86, -15, -98, -7, 40, 67]
  Compare -15 and -98
  Swap -15 and -98
  List after swap: [-94, -20, -73, -86, -98, -15, -7, 40, 67]
  Compare -15 and -7
  No swap needed

Pass 4:
  Compare -94 and -20
  No swap needed
  Compare -20 and -73
  Swap -20 and -73
  List after swap: [-94, -73, -20, -86, -98, -15, -7, 40, 67]
  Compare -20 and -86
  Swap -20 and -86
  List after swap: [-94, -73, -86, -20, -98, -15, -7, 40, 67]
  Compare -20 and -98
  Swap -20 and -98
  List after swap: [-94, -73, -86, -98, -20, -15, -7, 40, 67]
  Compare -20 and -15
  No swap needed

Pass 5:
  Compare -94 and -73
  No swap needed
  Compare -73 and -86
  Swap -73 and -86
  List after swap: [-94, -86, -73, -98, -20, -15, -7, 40, 67]
  Compare -73 and -98
  Swap -73 and -98
  List after swap: [-94, -86, -98, -73, -20, -15, -7, 40, 67]
  Compare -73 and -20
  No swap needed

Pass 6:
  Compare -94 and -86
  No swap needed
  Compare -86 and -98
  Swap -86 and -98
  List after swap: [-94, -98, -86, -73, -20, -15, -7, 40, 67]
  Compare -86 and -73
  No swap needed

Pass 7:
  Compare -94 and -98
  Swap -94 and -98
  List after swap: [-98, -94, -86, -73, -20, -15, -7, 40, 67]
  Compare -94 and -86
  No swap needed

Pass 8:
  Compare -98 and -94
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -94, -86, -73, -20, -15, -7, 40, 67]
</think>

<response>-98, -94, -86, -73, -20, -15, -7, 40, 67</response>


input: Arrange the numbers 38, 71, 72, -5, 4, -28, -46 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [38, 71, 72, -5, 4, -28, -46]

Pass 1:
  Compare 38 and 71
  No swap needed
  Compare 71 and 72
  No swap needed
  Compare 72 and -5
  Swap 72 and -5
  List after swap: [38, 71, -5, 72, 4, -28, -46]
  Compare 72 and 4
  Swap 72 and 4
  List after swap: [38, 71, -5, 4, 72, -28, -46]
  Compare 72 and -28
  Swap 72 and -28
  List after swap: [38, 71, -5, 4, -28, 72, -46]
  Compare 72 and -46
  Swap 72 and -46
  List after swap: [38, 71, -5, 4, -28, -46, 72]

Pass 2:
  Compare 38 and 71
  No swap needed
  Compare 71 and -5
  Swap 71 and -5
  List after swap: [38, -5, 71, 4, -28, -46, 72]
  Compare 71 and 4
  Swap 71 and 4
  List after swap: [38, -5, 4, 71, -28, -46, 72]
  Compare 71 and -28
  Swap 71 and -28
  List after swap: [38, -5, 4, -28, 71, -46, 72]
  Compare 71 and -46
  Swap 71 and -46
  List after swap: [38, -5, 4, -28, -46, 71, 72]

Pass 3:
  Compare 38 and -5
  Swap 38 and -5
  List after swap: [-5, 38, 4, -28, -46, 71, 72]
  Compare 38 and 4
  Swap 38 and 4
  List after swap: [-5, 4, 38, -28, -46, 71, 72]
  Compare 38 and -28
  Swap 38 and -28
  List after swap: [-5, 4, -28, 38, -46, 71, 72]
  Compare 38 and -46
  Swap 38 and -46
  List after swap: [-5, 4, -28, -46, 38, 71, 72]

Pass 4:
  Compare -5 and 4
  No swap needed
  Compare 4 and -28
  Swap 4 and -28
  List after swap: [-5, -28, 4, -46, 38, 71, 72]
  Compare 4 and -46
  Swap 4 and -46
  List after swap: [-5, -28, -46, 4, 38, 71, 72]

Pass 5:
  Compare -5 and -28
  Swap -5 and -28
  List after swap: [-28, -5, -46, 4, 38, 71, 72]
  Compare -5 and -46
  Swap -5 and -46
  List after swap: [-28, -46, -5, 4, 38, 71, 72]

Pass 6:
  Compare -28 and -46
  Swap -28 and -46
  List after swap: [-46, -28, -5, 4, 38, 71, 72]

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

Final sorted list: [-46, -28, -5, 4, 38, 71, 72]
</think>

<response>-46, -28, -5, 4, 38, 71, 72</response>


input: Execute bubble sort to sort 55, 48, -52, -87 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [55, 48, -52, -87]

Pass 1:
  Compare 55 and 48
  Swap 55 and 48
  List after swap: [48, 55, -52, -87]
  Compare 55 and -52
  Swap 55 and -52
  List after swap: [48, -52, 55, -87]
  Compare 55 and -87
  Swap 55 and -87
  List after swap: [48, -52, -87, 55]

Pass 2:
  Compare 48 and -52
  Swap 48 and -52
  List after swap: [-52, 48, -87, 55]
  Compare 48 and -87
  Swap 48 and -87
  List after swap: [-52, -87, 48, 55]

Pass 3:
  Compare -52 and -87
  Swap -52 and -87
  List after swap: [-87, -52, 48, 55]

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

Final sorted list: [-87, -52, 48, 55]
</think>

<response>-87, -52, 48, 55</response>


input: Using the bubble sort method, sort 77, -66, -79, 21, -91, -89, -56, -47, 57 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [77, -66, -79, 21, -91, -89, -56, -47, 57]

Pass 1:
  Compare 77 and -66
  Swap 77 and -66
  List after swap: [-66, 77, -79, 21, -91, -89, -56, -47, 57]
  Compare 77 and -79
  Swap 77 and -79
  List after swap: [-66, -79, 77, 21, -91, -89, -56, -47, 57]
  Compare 77 and 21
  Swap 77 and 21
  List after swap: [-66, -79, 21, 77, -91, -89, -56, -47, 57]
  Compare 77 and -91
  Swap 77 and -91
  List after swap: [-66, -79, 21, -91, 77, -89, -56, -47, 57]
  Compare 77 and -89
  Swap 77 and -89
  List after swap: [-66, -79, 21, -91, -89, 77, -56, -47, 57]
  Compare 77 and -56
  Swap 77 and -56
  List after swap: [-66, -79, 21, -91, -89, -56, 77, -47, 57]
  Compare 77 and -47
  Swap 77 and -47
  List after swap: [-66, -79, 21, -91, -89, -56, -47, 77, 57]
  Compare 77 and 57
  Swap 77 and 57
  List after swap: [-66, -79, 21, -91, -89, -56, -47, 57, 77]

Pass 2:
  Compare -66 and -79
  Swap -66 and -79
  List after swap: [-79, -66, 21, -91, -89, -56, -47, 57, 77]
  Compare -66 and 21
  No swap needed
  Compare 21 and -91
  Swap 21 and -91
  List after swap: [-79, -66, -91, 21, -89, -56, -47, 57, 77]
  Compare 21 and -89
  Swap 21 and -89
  List after swap: [-79, -66, -91, -89, 21, -56, -47, 57, 77]
  Compare 21 and -56
  Swap 21 and -56
  List after swap: [-79, -66, -91, -89, -56, 21, -47, 57, 77]
  Compare 21 and -47
  Swap 21 and -47
  List after swap: [-79, -66, -91, -89, -56, -47, 21, 57, 77]
  Compare 21 and 57
  No swap needed

Pass 3:
  Compare -79 and -66
  No swap needed
  Compare -66 and -91
  Swap -66 and -91
  List after swap: [-79, -91, -66, -89, -56, -47, 21, 57, 77]
  Compare -66 and -89
  Swap -66 and -89
  List after swap: [-79, -91, -89, -66, -56, -47, 21, 57, 77]
  Compare -66 and -56
  No swap needed
  Compare -56 and -47
  No swap needed
  Compare -47 and 21
  No swap needed

Pass 4:
  Compare -79 and -91
  Swap -79 and -91
  List after swap: [-91, -79, -89, -66, -56, -47, 21, 57, 77]
  Compare -79 and -89
  Swap -79 and -89
  List after swap: [-91, -89, -79, -66, -56, -47, 21, 57, 77]
  Compare -79 and -66
  No swap needed
  Compare -66 and -56
  No swap needed
  Compare -56 and -47
  No swap needed

Pass 5:
  Compare -91 and -89
  No swap needed
  Compare -89 and -79
  No swap needed
  Compare -79 and -66
  No swap needed
  Compare -66 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -89, -79, -66, -56, -47, 21, 57, 77]
</think>

<response>-91, -89, -79, -66, -56, -47, 21, 57, 77</response>


input: Arrange the numbers 70, 50, 76, 65, 84, 31 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [70, 50, 76, 65, 84, 31]

Pass 1:
  Compare 70 and 50
  Swap 70 and 50
  List after swap: [50, 70, 76, 65, 84, 31]
  Compare 70 and 76
  No swap needed
  Compare 76 and 65
  Swap 76 and 65
  List after swap: [50, 70, 65, 76, 84, 31]
  Compare 76 and 84
  No swap needed
  Compare 84 and 31
  Swap 84 and 31
  List after swap: [50, 70, 65, 76, 31, 84]

Pass 2:
  Compare 50 and 70
  No swap needed
  Compare 70 and 65
  Swap 70 and 65
  List after swap: [50, 65, 70, 76, 31, 84]
  Compare 70 and 76
  No swap needed
  Compare 76 and 31
  Swap 76 and 31
  List after swap: [50, 65, 70, 31, 76, 84]

Pass 3:
  Compare 50 and 65
  No swap needed
  Compare 65 and 70
  No swap needed
  Compare 70 and 31
  Swap 70 and 31
  List after swap: [50, 65, 31, 70, 76, 84]

Pass 4:
  Compare 50 and 65
  No swap needed
  Compare 65 and 31
  Swap 65 and 31
  List after swap: [50, 31, 65, 70, 76, 84]

Pass 5:
  Compare 50 and 31
  Swap 50 and 31
  List after swap: [31, 50, 65, 70, 76, 84]

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

Final sorted list: [31, 50, 65, 70, 76, 84]
</think>

<response>31, 50, 65, 70, 76, 84</response>


input: Sort these integers -37, -78, -2, 42, 19, -5, -81, -89, -34, -8 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-37, -78, -2, 42, 19, -5, -81, -89, -34, -8]

Pass 1:
  Compare -37 and -78
  Swap -37 and -78
  List after swap: [-78, -37, -2, 42, 19, -5, -81, -89, -34, -8]
  Compare -37 and -2
  No swap needed
  Compare -2 and 42
  No swap needed
  Compare 42 and 19
  Swap 42 and 19
  List after swap: [-78, -37, -2, 19, 42, -5, -81, -89, -34, -8]
  Compare 42 and -5
  Swap 42 and -5
  List after swap: [-78, -37, -2, 19, -5, 42, -81, -89, -34, -8]
  Compare 42 and -81
  Swap 42 and -81
  List after swap: [-78, -37, -2, 19, -5, -81, 42, -89, -34, -8]
  Compare 42 and -89
  Swap 42 and -89
  List after swap: [-78, -37, -2, 19, -5, -81, -89, 42, -34, -8]
  Compare 42 and -34
  Swap 42 and -34
  List after swap: [-78, -37, -2, 19, -5, -81, -89, -34, 42, -8]
  Compare 42 and -8
  Swap 42 and -8
  List after swap: [-78, -37, -2, 19, -5, -81, -89, -34, -8, 42]

Pass 2:
  Compare -78 and -37
  No swap needed
  Compare -37 and -2
  No swap needed
  Compare -2 and 19
  No swap needed
  Compare 19 and -5
  Swap 19 and -5
  List after swap: [-78, -37, -2, -5, 19, -81, -89, -34, -8, 42]
  Compare 19 and -81
  Swap 19 and -81
  List after swap: [-78, -37, -2, -5, -81, 19, -89, -34, -8, 42]
  Compare 19 and -89
  Swap 19 and -89
  List after swap: [-78, -37, -2, -5, -81, -89, 19, -34, -8, 42]
  Compare 19 and -34
  Swap 19 and -34
  List after swap: [-78, -37, -2, -5, -81, -89, -34, 19, -8, 42]
  Compare 19 and -8
  Swap 19 and -8
  List after swap: [-78, -37, -2, -5, -81, -89, -34, -8, 19, 42]

Pass 3:
  Compare -78 and -37
  No swap needed
  Compare -37 and -2
  No swap needed
  Compare -2 and -5
  Swap -2 and -5
  List after swap: [-78, -37, -5, -2, -81, -89, -34, -8, 19, 42]
  Compare -2 and -81
  Swap -2 and -81
  List after swap: [-78, -37, -5, -81, -2, -89, -34, -8, 19, 42]
  Compare -2 and -89
  Swap -2 and -89
  List after swap: [-78, -37, -5, -81, -89, -2, -34, -8, 19, 42]
  Compare -2 and -34
  Swap -2 and -34
  List after swap: [-78, -37, -5, -81, -89, -34, -2, -8, 19, 42]
  Compare -2 and -8
  Swap -2 and -8
  List after swap: [-78, -37, -5, -81, -89, -34, -8, -2, 19, 42]

Pass 4:
  Compare -78 and -37
  No swap needed
  Compare -37 and -5
  No swap needed
  Compare -5 and -81
  Swap -5 and -81
  List after swap: [-78, -37, -81, -5, -89, -34, -8, -2, 19, 42]
  Compare -5 and -89
  Swap -5 and -89
  List after swap: [-78, -37, -81, -89, -5, -34, -8, -2, 19, 42]
  Compare -5 and -34
  Swap -5 and -34
  List after swap: [-78, -37, -81, -89, -34, -5, -8, -2, 19, 42]
  Compare -5 and -8
  Swap -5 and -8
  List after swap: [-78, -37, -81, -89, -34, -8, -5, -2, 19, 42]

Pass 5:
  Compare -78 and -37
  No swap needed
  Compare -37 and -81
  Swap -37 and -81
  List after swap: [-78, -81, -37, -89, -34, -8, -5, -2, 19, 42]
  Compare -37 and -89
  Swap -37 and -89
  List after swap: [-78, -81, -89, -37, -34, -8, -5, -2, 19, 42]
  Compare -37 and -34
  No swap needed
  Compare -34 and -8
  No swap needed

Pass 6:
  Compare -78 and -81
  Swap -78 and -81
  List after swap: [-81, -78, -89, -37, -34, -8, -5, -2, 19, 42]
  Compare -78 and -89
  Swap -78 and -89
  List after swap: [-81, -89, -78, -37, -34, -8, -5, -2, 19, 42]
  Compare -78 and -37
  No swap needed
  Compare -37 and -34
  No swap needed

Pass 7:
  Compare -81 and -89
  Swap -81 and -89
  List after swap: [-89, -81, -78, -37, -34, -8, -5, -2, 19, 42]
  Compare -81 and -78
  No swap needed
  Compare -78 and -37
  No swap needed

Pass 8:
  Compare -89 and -81
  No swap needed
  Compare -81 and -78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -81, -78, -37, -34, -8, -5, -2, 19, 42]
</think>

<response>-89, -81, -78, -37, -34, -8, -5, -2, 19, 42</response>


input: Implement bubble sort on -58, -47, 54, -52, 39, -17, -84 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-58, -47, 54, -52, 39, -17, -84]

Pass 1:
  Compare -58 and -47
  No swap needed
  Compare -47 and 54
  No swap needed
  Compare 54 and -52
  Swap 54 and -52
  List after swap: [-58, -47, -52, 54, 39, -17, -84]
  Compare 54 and 39
  Swap 54 and 39
  List after swap: [-58, -47, -52, 39, 54, -17, -84]
  Compare 54 and -17
  Swap 54 and -17
  List after swap: [-58, -47, -52, 39, -17, 54, -84]
  Compare 54 and -84
  Swap 54 and -84
  List after swap: [-58, -47, -52, 39, -17, -84, 54]

Pass 2:
  Compare -58 and -47
  No swap needed
  Compare -47 and -52
  Swap -47 and -52
  List after swap: [-58, -52, -47, 39, -17, -84, 54]
  Compare -47 and 39
  No swap needed
  Compare 39 and -17
  Swap 39 and -17
  List after swap: [-58, -52, -47, -17, 39, -84, 54]
  Compare 39 and -84
  Swap 39 and -84
  List after swap: [-58, -52, -47, -17, -84, 39, 54]

Pass 3:
  Compare -58 and -52
  No swap needed
  Compare -52 and -47
  No swap needed
  Compare -47 and -17
  No swap needed
  Compare -17 and -84
  Swap -17 and -84
  List after swap: [-58, -52, -47, -84, -17, 39, 54]

Pass 4:
  Compare -58 and -52
  No swap needed
  Compare -52 and -47
  No swap needed
  Compare -47 and -84
  Swap -47 and -84
  List after swap: [-58, -52, -84, -47, -17, 39, 54]

Pass 5:
  Compare -58 and -52
  No swap needed
  Compare -52 and -84
  Swap -52 and -84
  List after swap: [-58, -84, -52, -47, -17, 39, 54]

Pass 6:
  Compare -58 and -84
  Swap -58 and -84
  List after swap: [-84, -58, -52, -47, -17, 39, 54]

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

Final sorted list: [-84, -58, -52, -47, -17, 39, 54]
</think>

<response>-84, -58, -52, -47, -17, 39, 54</response>


input: Demonstrate how bubble sort orders the integers 31, 10, 59, 55, -85, 6, 62, -83, -93 in ascending sequence, showing all steps.

output:
<think>
Initial list: [31, 10, 59, 55, -85, 6, 62, -83, -93]

Pass 1:
  Compare 31 and 10
  Swap 31 and 10
  List after swap: [10, 31, 59, 55, -85, 6, 62, -83, -93]
  Compare 31 and 59
  No swap needed
  Compare 59 and 55
  Swap 59 and 55
  List after swap: [10, 31, 55, 59, -85, 6, 62, -83, -93]
  Compare 59 and -85
  Swap 59 and -85
  List after swap: [10, 31, 55, -85, 59, 6, 62, -83, -93]
  Compare 59 and 6
  Swap 59 and 6
  List after swap: [10, 31, 55, -85, 6, 59, 62, -83, -93]
  Compare 59 and 62
  No swap needed
  Compare 62 and -83
  Swap 62 and -83
  List after swap: [10, 31, 55, -85, 6, 59, -83, 62, -93]
  Compare 62 and -93
  Swap 62 and -93
  List after swap: [10, 31, 55, -85, 6, 59, -83, -93, 62]

Pass 2:
  Compare 10 and 31
  No swap needed
  Compare 31 and 55
  No swap needed
  Compare 55 and -85
  Swap 55 and -85
  List after swap: [10, 31, -85, 55, 6, 59, -83, -93, 62]
  Compare 55 and 6
  Swap 55 and 6
  List after swap: [10, 31, -85, 6, 55, 59, -83, -93, 62]
  Compare 55 and 59
  No swap needed
  Compare 59 and -83
  Swap 59 and -83
  List after swap: [10, 31, -85, 6, 55, -83, 59, -93, 62]
  Compare 59 and -93
  Swap 59 and -93
  List after swap: [10, 31, -85, 6, 55, -83, -93, 59, 62]

Pass 3:
  Compare 10 and 31
  No swap needed
  Compare 31 and -85
  Swap 31 and -85
  List after swap: [10, -85, 31, 6, 55, -83, -93, 59, 62]
  Compare 31 and 6
  Swap 31 and 6
  List after swap: [10, -85, 6, 31, 55, -83, -93, 59, 62]
  Compare 31 and 55
  No swap needed
  Compare 55 and -83
  Swap 55 and -83
  List after swap: [10, -85, 6, 31, -83, 55, -93, 59, 62]
  Compare 55 and -93
  Swap 55 and -93
  List after swap: [10, -85, 6, 31, -83, -93, 55, 59, 62]

Pass 4:
  Compare 10 and -85
  Swap 10 and -85
  List after swap: [-85, 10, 6, 31, -83, -93, 55, 59, 62]
  Compare 10 and 6
  Swap 10 and 6
  List after swap: [-85, 6, 10, 31, -83, -93, 55, 59, 62]
  Compare 10 and 31
  No swap needed
  Compare 31 and -83
  Swap 31 and -83
  List after swap: [-85, 6, 10, -83, 31, -93, 55, 59, 62]
  Compare 31 and -93
  Swap 31 and -93
  List after swap: [-85, 6, 10, -83, -93, 31, 55, 59, 62]

Pass 5:
  Compare -85 and 6
  No swap needed
  Compare 6 and 10
  No swap needed
  Compare 10 and -83
  Swap 10 and -83
  List after swap: [-85, 6, -83, 10, -93, 31, 55, 59, 62]
  Compare 10 and -93
  Swap 10 and -93
  List after swap: [-85, 6, -83, -93, 10, 31, 55, 59, 62]

Pass 6:
  Compare -85 and 6
  No swap needed
  Compare 6 and -83
  Swap 6 and -83
  List after swap: [-85, -83, 6, -93, 10, 31, 55, 59, 62]
  Compare 6 and -93
  Swap 6 and -93
  List after swap: [-85, -83, -93, 6, 10, 31, 55, 59, 62]

Pass 7:
  Compare -85 and -83
  No swap needed
  Compare -83 and -93
  Swap -83 and -93
  List after swap: [-85, -93, -83, 6, 10, 31, 55, 59, 62]

Pass 8:
  Compare -85 and -93
  Swap -85 and -93
  List after swap: [-93, -85, -83, 6, 10, 31, 55, 59, 62]

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

Final sorted list: [-93, -85, -83, 6, 10, 31, 55, 59, 62]
</think>

<response>-93, -85, -83, 6, 10, 31, 55, 59, 62</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 64, 48, -87.

output:
<think>
Initial list: [64, 48, -87]

Pass 1:
  Compare 64 and 48
  Swap 64 and 48
  List after swap: [48, 64, -87]
  Compare 64 and -87
  Swap 64 and -87
  List after swap: [48, -87, 64]

Pass 2:
  Compare 48 and -87
  Swap 48 and -87
  List after swap: [-87, 48, 64]

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

Final sorted list: [-87, 48, 64]
</think>

<response>-87, 48, 64</response>


input: Arrange the numbers -43, -87, 62, -5, -17, -8 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-43, -87, 62, -5, -17, -8]

Pass 1:
  Compare -43 and -87
  Swap -43 and -87
  List after swap: [-87, -43, 62, -5, -17, -8]
  Compare -43 and 62
  No swap needed
  Compare 62 and -5
  Swap 62 and -5
  List after swap: [-87, -43, -5, 62, -17, -8]
  Compare 62 and -17
  Swap 62 and -17
  List after swap: [-87, -43, -5, -17, 62, -8]
  Compare 62 and -8
  Swap 62 and -8
  List after swap: [-87, -43, -5, -17, -8, 62]

Pass 2:
  Compare -87 and -43
  No swap needed
  Compare -43 and -5
  No swap needed
  Compare -5 and -17
  Swap -5 and -17
  List after swap: [-87, -43, -17, -5, -8, 62]
  Compare -5 and -8
  Swap -5 and -8
  List after swap: [-87, -43, -17, -8, -5, 62]

Pass 3:
  Compare -87 and -43
  No swap needed
  Compare -43 and -17
  No swap needed
  Compare -17 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -43, -17, -8, -5, 62]
</think>

<response>-87, -43, -17, -8, -5, 62</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 94, -22, 55, 3, 88, -94, -64, 77, -74, 73.

output:
<think>
Initial list: [94, -22, 55, 3, 88, -94, -64, 77, -74, 73]

Pass 1:
  Compare 94 and -22
  Swap 94 and -22
  List after swap: [-22, 94, 55, 3, 88, -94, -64, 77, -74, 73]
  Compare 94 and 55
  Swap 94 and 55
  List after swap: [-22, 55, 94, 3, 88, -94, -64, 77, -74, 73]
  Compare 94 and 3
  Swap 94 and 3
  List after swap: [-22, 55, 3, 94, 88, -94, -64, 77, -74, 73]
  Compare 94 and 88
  Swap 94 and 88
  List after swap: [-22, 55, 3, 88, 94, -94, -64, 77, -74, 73]
  Compare 94 and -94
  Swap 94 and -94
  List after swap: [-22, 55, 3, 88, -94, 94, -64, 77, -74, 73]
  Compare 94 and -64
  Swap 94 and -64
  List after swap: [-22, 55, 3, 88, -94, -64, 94, 77, -74, 73]
  Compare 94 and 77
  Swap 94 and 77
  List after swap: [-22, 55, 3, 88, -94, -64, 77, 94, -74, 73]
  Compare 94 and -74
  Swap 94 and -74
  List after swap: [-22, 55, 3, 88, -94, -64, 77, -74, 94, 73]
  Compare 94 and 73
  Swap 94 and 73
  List after swap: [-22, 55, 3, 88, -94, -64, 77, -74, 73, 94]

Pass 2:
  Compare -22 and 55
  No swap needed
  Compare 55 and 3
  Swap 55 and 3
  List after swap: [-22, 3, 55, 88, -94, -64, 77, -74, 73, 94]
  Compare 55 and 88
  No swap needed
  Compare 88 and -94
  Swap 88 and -94
  List after swap: [-22, 3, 55, -94, 88, -64, 77, -74, 73, 94]
  Compare 88 and -64
  Swap 88 and -64
  List after swap: [-22, 3, 55, -94, -64, 88, 77, -74, 73, 94]
  Compare 88 and 77
  Swap 88 and 77
  List after swap: [-22, 3, 55, -94, -64, 77, 88, -74, 73, 94]
  Compare 88 and -74
  Swap 88 and -74
  List after swap: [-22, 3, 55, -94, -64, 77, -74, 88, 73, 94]
  Compare 88 and 73
  Swap 88 and 73
  List after swap: [-22, 3, 55, -94, -64, 77, -74, 73, 88, 94]

Pass 3:
  Compare -22 and 3
  No swap needed
  Compare 3 and 55
  No swap needed
  Compare 55 and -94
  Swap 55 and -94
  List after swap: [-22, 3, -94, 55, -64, 77, -74, 73, 88, 94]
  Compare 55 and -64
  Swap 55 and -64
  List after swap: [-22, 3, -94, -64, 55, 77, -74, 73, 88, 94]
  Compare 55 and 77
  No swap needed
  Compare 77 and -74
  Swap 77 and -74
  List after swap: [-22, 3, -94, -64, 55, -74, 77, 73, 88, 94]
  Compare 77 and 73
  Swap 77 and 73
  List after swap: [-22, 3, -94, -64, 55, -74, 73, 77, 88, 94]

Pass 4:
  Compare -22 and 3
  No swap needed
  Compare 3 and -94
  Swap 3 and -94
  List after swap: [-22, -94, 3, -64, 55, -74, 73, 77, 88, 94]
  Compare 3 and -64
  Swap 3 and -64
  List after swap: [-22, -94, -64, 3, 55, -74, 73, 77, 88, 94]
  Compare 3 and 55
  No swap needed
  Compare 55 and -74
  Swap 55 and -74
  List after swap: [-22, -94, -64, 3, -74, 55, 73, 77, 88, 94]
  Compare 55 and 73
  No swap needed

Pass 5:
  Compare -22 and -94
  Swap -22 and -94
  List after swap: [-94, -22, -64, 3, -74, 55, 73, 77, 88, 94]
  Compare -22 and -64
  Swap -22 and -64
  List after swap: [-94, -64, -22, 3, -74, 55, 73, 77, 88, 94]
  Compare -22 and 3
  No swap needed
  Compare 3 and -74
  Swap 3 and -74
  List after swap: [-94, -64, -22, -74, 3, 55, 73, 77, 88, 94]
  Compare 3 and 55
  No swap needed

Pass 6:
  Compare -94 and -64
  No swap needed
  Compare -64 and -22
  No swap needed
  Compare -22 and -74
  Swap -22 and -74
  List after swap: [-94, -64, -74, -22, 3, 55, 73, 77, 88, 94]
  Compare -22 and 3
  No swap needed

Pass 7:
  Compare -94 and -64
  No swap needed
  Compare -64 and -74
  Swap -64 and -74
  List after swap: [-94, -74, -64, -22, 3, 55, 73, 77, 88, 94]
  Compare -64 and -22
  No swap needed

Pass 8:
  Compare -94 and -74
  No swap needed
  Compare -74 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -74, -64, -22, 3, 55, 73, 77, 88, 94]
</think>

<response>-94, -74, -64, -22, 3, 55, 73, 77, 88, 94</response>


input: Sort these integers 83, 15, -93, 12, -75, -48, -67, 0, -95 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [83, 15, -93, 12, -75, -48, -67, 0, -95]

Pass 1:
  Compare 83 and 15
  Swap 83 and 15
  List after swap: [15, 83, -93, 12, -75, -48, -67, 0, -95]
  Compare 83 and -93
  Swap 83 and -93
  List after swap: [15, -93, 83, 12, -75, -48, -67, 0, -95]
  Compare 83 and 12
  Swap 83 and 12
  List after swap: [15, -93, 12, 83, -75, -48, -67, 0, -95]
  Compare 83 and -75
  Swap 83 and -75
  List after swap: [15, -93, 12, -75, 83, -48, -67, 0, -95]
  Compare 83 and -48
  Swap 83 and -48
  List after swap: [15, -93, 12, -75, -48, 83, -67, 0, -95]
  Compare 83 and -67
  Swap 83 and -67
  List after swap: [15, -93, 12, -75, -48, -67, 83, 0, -95]
  Compare 83 and 0
  Swap 83 and 0
  List after swap: [15, -93, 12, -75, -48, -67, 0, 83, -95]
  Compare 83 and -95
  Swap 83 and -95
  List after swap: [15, -93, 12, -75, -48, -67, 0, -95, 83]

Pass 2:
  Compare 15 and -93
  Swap 15 and -93
  List after swap: [-93, 15, 12, -75, -48, -67, 0, -95, 83]
  Compare 15 and 12
  Swap 15 and 12
  List after swap: [-93, 12, 15, -75, -48, -67, 0, -95, 83]
  Compare 15 and -75
  Swap 15 and -75
  List after swap: [-93, 12, -75, 15, -48, -67, 0, -95, 83]
  Compare 15 and -48
  Swap 15 and -48
  List after swap: [-93, 12, -75, -48, 15, -67, 0, -95, 83]
  Compare 15 and -67
  Swap 15 and -67
  List after swap: [-93, 12, -75, -48, -67, 15, 0, -95, 83]
  Compare 15 and 0
  Swap 15 and 0
  List after swap: [-93, 12, -75, -48, -67, 0, 15, -95, 83]
  Compare 15 and -95
  Swap 15 and -95
  List after swap: [-93, 12, -75, -48, -67, 0, -95, 15, 83]

Pass 3:
  Compare -93 and 12
  No swap needed
  Compare 12 and -75
  Swap 12 and -75
  List after swap: [-93, -75, 12, -48, -67, 0, -95, 15, 83]
  Compare 12 and -48
  Swap 12 and -48
  List after swap: [-93, -75, -48, 12, -67, 0, -95, 15, 83]
  Compare 12 and -67
  Swap 12 and -67
  List after swap: [-93, -75, -48, -67, 12, 0, -95, 15, 83]
  Compare 12 and 0
  Swap 12 and 0
  List after swap: [-93, -75, -48, -67, 0, 12, -95, 15, 83]
  Compare 12 and -95
  Swap 12 and -95
  List after swap: [-93, -75, -48, -67, 0, -95, 12, 15, 83]

Pass 4:
  Compare -93 and -75
  No swap needed
  Compare -75 and -48
  No swap needed
  Compare -48 and -67
  Swap -48 and -67
  List after swap: [-93, -75, -67, -48, 0, -95, 12, 15, 83]
  Compare -48 and 0
  No swap needed
  Compare 0 and -95
  Swap 0 and -95
  List after swap: [-93, -75, -67, -48, -95, 0, 12, 15, 83]

Pass 5:
  Compare -93 and -75
  No swap needed
  Compare -75 and -67
  No swap needed
  Compare -67 and -48
  No swap needed
  Compare -48 and -95
  Swap -48 and -95
  List after swap: [-93, -75, -67, -95, -48, 0, 12, 15, 83]

Pass 6:
  Compare -93 and -75
  No swap needed
  Compare -75 and -67
  No swap needed
  Compare -67 and -95
  Swap -67 and -95
  List after swap: [-93, -75, -95, -67, -48, 0, 12, 15, 83]

Pass 7:
  Compare -93 and -75
  No swap needed
  Compare -75 and -95
  Swap -75 and -95
  List after swap: [-93, -95, -75, -67, -48, 0, 12, 15, 83]

Pass 8:
  Compare -93 and -95
  Swap -93 and -95
  List after swap: [-95, -93, -75, -67, -48, 0, 12, 15, 83]

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

Final sorted list: [-95, -93, -75, -67, -48, 0, 12, 15, 83]
</think>

<response>-95, -93, -75, -67, -48, 0, 12, 15, 83</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -3, 92, 80.

output:
<think>
Initial list: [-3, 92, 80]

Pass 1:
  Compare -3 and 92
  No swap needed
  Compare 92 and 80
  Swap 92 and 80
  List after swap: [-3, 80, 92]

Pass 2:
  Compare -3 and 80
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-3, 80, 92]
</think>

<response>-3, 80, 92</response>


input: Carry out the bubble sort algorithm on 76, -29, -76, 43, 96 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [76, -29, -76, 43, 96]

Pass 1:
  Compare 76 and -29
  Swap 76 and -29
  List after swap: [-29, 76, -76, 43, 96]
  Compare 76 and -76
  Swap 76 and -76
  List after swap: [-29, -76, 76, 43, 96]
  Compare 76 and 43
  Swap 76 and 43
  List after swap: [-29, -76, 43, 76, 96]
  Compare 76 and 96
  No swap needed

Pass 2:
  Compare -29 and -76
  Swap -29 and -76
  List after swap: [-76, -29, 43, 76, 96]
  Compare -29 and 43
  No swap needed
  Compare 43 and 76
  No swap needed

Pass 3:
  Compare -76 and -29
  No swap needed
  Compare -29 and 43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -29, 43, 76, 96]
</think>

<response>-76, -29, 43, 76, 96</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -61, -41.

output:
<think>
Initial list: [-61, -41]

Pass 1:
  Compare -61 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -41]
</think>

<response>-61, -41</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 70, -46, 36, 3.

output:
<think>
Initial list: [70, -46, 36, 3]

Pass 1:
  Compare 70 and -46
  Swap 70 and -46
  List after swap: [-46, 70, 36, 3]
  Compare 70 and 36
  Swap 70 and 36
  List after swap: [-46, 36, 70, 3]
  Compare 70 and 3
  Swap 70 and 3
  List after swap: [-46, 36, 3, 70]

Pass 2:
  Compare -46 and 36
  No swap needed
  Compare 36 and 3
  Swap 36 and 3
  List after swap: [-46, 3, 36, 70]

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

Final sorted list: [-46, 3, 36, 70]
</think>

<response>-46, 3, 36, 70</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -10, 73, -56, -15, -78, -74, 37, -76, 40, -98.

output:
<think>
Initial list: [-10, 73, -56, -15, -78, -74, 37, -76, 40, -98]

Pass 1:
  Compare -10 and 73
  No swap needed
  Compare 73 and -56
  Swap 73 and -56
  List after swap: [-10, -56, 73, -15, -78, -74, 37, -76, 40, -98]
  Compare 73 and -15
  Swap 73 and -15
  List after swap: [-10, -56, -15, 73, -78, -74, 37, -76, 40, -98]
  Compare 73 and -78
  Swap 73 and -78
  List after swap: [-10, -56, -15, -78, 73, -74, 37, -76, 40, -98]
  Compare 73 and -74
  Swap 73 and -74
  List after swap: [-10, -56, -15, -78, -74, 73, 37, -76, 40, -98]
  Compare 73 and 37
  Swap 73 and 37
  List after swap: [-10, -56, -15, -78, -74, 37, 73, -76, 40, -98]
  Compare 73 and -76
  Swap 73 and -76
  List after swap: [-10, -56, -15, -78, -74, 37, -76, 73, 40, -98]
  Compare 73 and 40
  Swap 73 and 40
  List after swap: [-10, -56, -15, -78, -74, 37, -76, 40, 73, -98]
  Compare 73 and -98
  Swap 73 and -98
  List after swap: [-10, -56, -15, -78, -74, 37, -76, 40, -98, 73]

Pass 2:
  Compare -10 and -56
  Swap -10 and -56
  List after swap: [-56, -10, -15, -78, -74, 37, -76, 40, -98, 73]
  Compare -10 and -15
  Swap -10 and -15
  List after swap: [-56, -15, -10, -78, -74, 37, -76, 40, -98, 73]
  Compare -10 and -78
  Swap -10 and -78
  List after swap: [-56, -15, -78, -10, -74, 37, -76, 40, -98, 73]
  Compare -10 and -74
  Swap -10 and -74
  List after swap: [-56, -15, -78, -74, -10, 37, -76, 40, -98, 73]
  Compare -10 and 37
  No swap needed
  Compare 37 and -76
  Swap 37 and -76
  List after swap: [-56, -15, -78, -74, -10, -76, 37, 40, -98, 73]
  Compare 37 and 40
  No swap needed
  Compare 40 and -98
  Swap 40 and -98
  List after swap: [-56, -15, -78, -74, -10, -76, 37, -98, 40, 73]

Pass 3:
  Compare -56 and -15
  No swap needed
  Compare -15 and -78
  Swap -15 and -78
  List after swap: [-56, -78, -15, -74, -10, -76, 37, -98, 40, 73]
  Compare -15 and -74
  Swap -15 and -74
  List after swap: [-56, -78, -74, -15, -10, -76, 37, -98, 40, 73]
  Compare -15 and -10
  No swap needed
  Compare -10 and -76
  Swap -10 and -76
  List after swap: [-56, -78, -74, -15, -76, -10, 37, -98, 40, 73]
  Compare -10 and 37
  No swap needed
  Compare 37 and -98
  Swap 37 and -98
  List after swap: [-56, -78, -74, -15, -76, -10, -98, 37, 40, 73]

Pass 4:
  Compare -56 and -78
  Swap -56 and -78
  List after swap: [-78, -56, -74, -15, -76, -10, -98, 37, 40, 73]
  Compare -56 and -74
  Swap -56 and -74
  List after swap: [-78, -74, -56, -15, -76, -10, -98, 37, 40, 73]
  Compare -56 and -15
  No swap needed
  Compare -15 and -76
  Swap -15 and -76
  List after swap: [-78, -74, -56, -76, -15, -10, -98, 37, 40, 73]
  Compare -15 and -10
  No swap needed
  Compare -10 and -98
  Swap -10 and -98
  List after swap: [-78, -74, -56, -76, -15, -98, -10, 37, 40, 73]

Pass 5:
  Compare -78 and -74
  No swap needed
  Compare -74 and -56
  No swap needed
  Compare -56 and -76
  Swap -56 and -76
  List after swap: [-78, -74, -76, -56, -15, -98, -10, 37, 40, 73]
  Compare -56 and -15
  No swap needed
  Compare -15 and -98
  Swap -15 and -98
  List after swap: [-78, -74, -76, -56, -98, -15, -10, 37, 40, 73]

Pass 6:
  Compare -78 and -74
  No swap needed
  Compare -74 and -76
  Swap -74 and -76
  List after swap: [-78, -76, -74, -56, -98, -15, -10, 37, 40, 73]
  Compare -74 and -56
  No swap needed
  Compare -56 and -98
  Swap -56 and -98
  List after swap: [-78, -76, -74, -98, -56, -15, -10, 37, 40, 73]

Pass 7:
  Compare -78 and -76
  No swap needed
  Compare -76 and -74
  No swap needed
  Compare -74 and -98
  Swap -74 and -98
  List after swap: [-78, -76, -98, -74, -56, -15, -10, 37, 40, 73]

Pass 8:
  Compare -78 and -76
  No swap needed
  Compare -76 and -98
  Swap -76 and -98
  List after swap: [-78, -98, -76, -74, -56, -15, -10, 37, 40, 73]

Pass 9:
  Compare -78 and -98
  Swap -78 and -98
  List after swap: [-98, -78, -76, -74, -56, -15, -10, 37, 40, 73]

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

Final sorted list: [-98, -78, -76, -74, -56, -15, -10, 37, 40, 73]
</think>

<response>-98, -78, -76, -74, -56, -15, -10, 37, 40, 73</response>


input: Perform a bubble sort on the integers -55, 90, -2, -15, 84, -57, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-55, 90, -2, -15, 84, -57]

Pass 1:
  Compare -55 and 90
  No swap needed
  Compare 90 and -2
  Swap 90 and -2
  List after swap: [-55, -2, 90, -15, 84, -57]
  Compare 90 and -15
  Swap 90 and -15
  List after swap: [-55, -2, -15, 90, 84, -57]
  Compare 90 and 84
  Swap 90 and 84
  List after swap: [-55, -2, -15, 84, 90, -57]
  Compare 90 and -57
  Swap 90 and -57
  List after swap: [-55, -2, -15, 84, -57, 90]

Pass 2:
  Compare -55 and -2
  No swap needed
  Compare -2 and -15
  Swap -2 and -15
  List after swap: [-55, -15, -2, 84, -57, 90]
  Compare -2 and 84
  No swap needed
  Compare 84 and -57
  Swap 84 and -57
  List after swap: [-55, -15, -2, -57, 84, 90]

Pass 3:
  Compare -55 and -15
  No swap needed
  Compare -15 and -2
  No swap needed
  Compare -2 and -57
  Swap -2 and -57
  List after swap: [-55, -15, -57, -2, 84, 90]

Pass 4:
  Compare -55 and -15
  No swap needed
  Compare -15 and -57
  Swap -15 and -57
  List after swap: [-55, -57, -15, -2, 84, 90]

Pass 5:
  Compare -55 and -57
  Swap -55 and -57
  List after swap: [-57, -55, -15, -2, 84, 90]

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

Final sorted list: [-57, -55, -15, -2, 84, 90]
</think>

<response>-57, -55, -15, -2, 84, 90</response>


input: Arrange the numbers -90, -63, -5, -92 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-90, -63, -5, -92]

Pass 1:
  Compare -90 and -63
  No swap needed
  Compare -63 and -5
  No swap needed
  Compare -5 and -92
  Swap -5 and -92
  List after swap: [-90, -63, -92, -5]

Pass 2:
  Compare -90 and -63
  No swap needed
  Compare -63 and -92
  Swap -63 and -92
  List after swap: [-90, -92, -63, -5]

Pass 3:
  Compare -90 and -92
  Swap -90 and -92
  List after swap: [-92, -90, -63, -5]

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

Final sorted list: [-92, -90, -63, -5]
</think>

<response>-92, -90, -63, -5</response>


input: Sort these integers -80, 69 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-80, 69]

Pass 1:
  Compare -80 and 69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, 69]
</think>

<response>-80, 69</response>


input: Carry out the bubble sort algorithm on 85, 35, -87, 56, -4, -44, 59 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [85, 35, -87, 56, -4, -44, 59]

Pass 1:
  Compare 85 and 35
  Swap 85 and 35
  List after swap: [35, 85, -87, 56, -4, -44, 59]
  Compare 85 and -87
  Swap 85 and -87
  List after swap: [35, -87, 85, 56, -4, -44, 59]
  Compare 85 and 56
  Swap 85 and 56
  List after swap: [35, -87, 56, 85, -4, -44, 59]
  Compare 85 and -4
  Swap 85 and -4
  List after swap: [35, -87, 56, -4, 85, -44, 59]
  Compare 85 and -44
  Swap 85 and -44
  List after swap: [35, -87, 56, -4, -44, 85, 59]
  Compare 85 and 59
  Swap 85 and 59
  List after swap: [35, -87, 56, -4, -44, 59, 85]

Pass 2:
  Compare 35 and -87
  Swap 35 and -87
  List after swap: [-87, 35, 56, -4, -44, 59, 85]
  Compare 35 and 56
  No swap needed
  Compare 56 and -4
  Swap 56 and -4
  List after swap: [-87, 35, -4, 56, -44, 59, 85]
  Compare 56 and -44
  Swap 56 and -44
  List after swap: [-87, 35, -4, -44, 56, 59, 85]
  Compare 56 and 59
  No swap needed

Pass 3:
  Compare -87 and 35
  No swap needed
  Compare 35 and -4
  Swap 35 and -4
  List after swap: [-87, -4, 35, -44, 56, 59, 85]
  Compare 35 and -44
  Swap 35 and -44
  List after swap: [-87, -4, -44, 35, 56, 59, 85]
  Compare 35 and 56
  No swap needed

Pass 4:
  Compare -87 and -4
  No swap needed
  Compare -4 and -44
  Swap -4 and -44
  List after swap: [-87, -44, -4, 35, 56, 59, 85]
  Compare -4 and 35
  No swap needed

Pass 5:
  Compare -87 and -44
  No swap needed
  Compare -44 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -44, -4, 35, 56, 59, 85]
</think>

<response>-87, -44, -4, 35, 56, 59, 85</response>


input: Perform a bubble sort on the integers 72, 70, 58, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [72, 70, 58]

Pass 1:
  Compare 72 and 70
  Swap 72 and 70
  List after swap: [70, 72, 58]
  Compare 72 and 58
  Swap 72 and 58
  List after swap: [70, 58, 72]

Pass 2:
  Compare 70 and 58
  Swap 70 and 58
  List after swap: [58, 70, 72]

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

Final sorted list: [58, 70, 72]
</think>

<response>58, 70, 72</response>


input: Carry out the bubble sort algorithm on -28, 78, -97, -79, -86, 20, -81 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-28, 78, -97, -79, -86, 20, -81]

Pass 1:
  Compare -28 and 78
  No swap needed
  Compare 78 and -97
  Swap 78 and -97
  List after swap: [-28, -97, 78, -79, -86, 20, -81]
  Compare 78 and -79
  Swap 78 and -79
  List after swap: [-28, -97, -79, 78, -86, 20, -81]
  Compare 78 and -86
  Swap 78 and -86
  List after swap: [-28, -97, -79, -86, 78, 20, -81]
  Compare 78 and 20
  Swap 78 and 20
  List after swap: [-28, -97, -79, -86, 20, 78, -81]
  Compare 78 and -81
  Swap 78 and -81
  List after swap: [-28, -97, -79, -86, 20, -81, 78]

Pass 2:
  Compare -28 and -97
  Swap -28 and -97
  List after swap: [-97, -28, -79, -86, 20, -81, 78]
  Compare -28 and -79
  Swap -28 and -79
  List after swap: [-97, -79, -28, -86, 20, -81, 78]
  Compare -28 and -86
  Swap -28 and -86
  List after swap: [-97, -79, -86, -28, 20, -81, 78]
  Compare -28 and 20
  No swap needed
  Compare 20 and -81
  Swap 20 and -81
  List after swap: [-97, -79, -86, -28, -81, 20, 78]

Pass 3:
  Compare -97 and -79
  No swap needed
  Compare -79 and -86
  Swap -79 and -86
  List after swap: [-97, -86, -79, -28, -81, 20, 78]
  Compare -79 and -28
  No swap needed
  Compare -28 and -81
  Swap -28 and -81
  List after swap: [-97, -86, -79, -81, -28, 20, 78]

Pass 4:
  Compare -97 and -86
  No swap needed
  Compare -86 and -79
  No swap needed
  Compare -79 and -81
  Swap -79 and -81
  List after swap: [-97, -86, -81, -79, -28, 20, 78]

Pass 5:
  Compare -97 and -86
  No swap needed
  Compare -86 and -81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -86, -81, -79, -28, 20, 78]
</think>

<response>-97, -86, -81, -79, -28, 20, 78</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 13, 51, 1, -8, 73, 23, 64, -69, -28.

output:
<think>
Initial list: [13, 51, 1, -8, 73, 23, 64, -69, -28]

Pass 1:
  Compare 13 and 51
  No swap needed
  Compare 51 and 1
  Swap 51 and 1
  List after swap: [13, 1, 51, -8, 73, 23, 64, -69, -28]
  Compare 51 and -8
  Swap 51 and -8
  List after swap: [13, 1, -8, 51, 73, 23, 64, -69, -28]
  Compare 51 and 73
  No swap needed
  Compare 73 and 23
  Swap 73 and 23
  List after swap: [13, 1, -8, 51, 23, 73, 64, -69, -28]
  Compare 73 and 64
  Swap 73 and 64
  List after swap: [13, 1, -8, 51, 23, 64, 73, -69, -28]
  Compare 73 and -69
  Swap 73 and -69
  List after swap: [13, 1, -8, 51, 23, 64, -69, 73, -28]
  Compare 73 and -28
  Swap 73 and -28
  List after swap: [13, 1, -8, 51, 23, 64, -69, -28, 73]

Pass 2:
  Compare 13 and 1
  Swap 13 and 1
  List after swap: [1, 13, -8, 51, 23, 64, -69, -28, 73]
  Compare 13 and -8
  Swap 13 and -8
  List after swap: [1, -8, 13, 51, 23, 64, -69, -28, 73]
  Compare 13 and 51
  No swap needed
  Compare 51 and 23
  Swap 51 and 23
  List after swap: [1, -8, 13, 23, 51, 64, -69, -28, 73]
  Compare 51 and 64
  No swap needed
  Compare 64 and -69
  Swap 64 and -69
  List after swap: [1, -8, 13, 23, 51, -69, 64, -28, 73]
  Compare 64 and -28
  Swap 64 and -28
  List after swap: [1, -8, 13, 23, 51, -69, -28, 64, 73]

Pass 3:
  Compare 1 and -8
  Swap 1 and -8
  List after swap: [-8, 1, 13, 23, 51, -69, -28, 64, 73]
  Compare 1 and 13
  No swap needed
  Compare 13 and 23
  No swap needed
  Compare 23 and 51
  No swap needed
  Compare 51 and -69
  Swap 51 and -69
  List after swap: [-8, 1, 13, 23, -69, 51, -28, 64, 73]
  Compare 51 and -28
  Swap 51 and -28
  List after swap: [-8, 1, 13, 23, -69, -28, 51, 64, 73]

Pass 4:
  Compare -8 and 1
  No swap needed
  Compare 1 and 13
  No swap needed
  Compare 13 and 23
  No swap needed
  Compare 23 and -69
  Swap 23 and -69
  List after swap: [-8, 1, 13, -69, 23, -28, 51, 64, 73]
  Compare 23 and -28
  Swap 23 and -28
  List after swap: [-8, 1, 13, -69, -28, 23, 51, 64, 73]

Pass 5:
  Compare -8 and 1
  No swap needed
  Compare 1 and 13
  No swap needed
  Compare 13 and -69
  Swap 13 and -69
  List after swap: [-8, 1, -69, 13, -28, 23, 51, 64, 73]
  Compare 13 and -28
  Swap 13 and -28
  List after swap: [-8, 1, -69, -28, 13, 23, 51, 64, 73]

Pass 6:
  Compare -8 and 1
  No swap needed
  Compare 1 and -69
  Swap 1 and -69
  List after swap: [-8, -69, 1, -28, 13, 23, 51, 64, 73]
  Compare 1 and -28
  Swap 1 and -28
  List after swap: [-8, -69, -28, 1, 13, 23, 51, 64, 73]

Pass 7:
  Compare -8 and -69
  Swap -8 and -69
  List after swap: [-69, -8, -28, 1, 13, 23, 51, 64, 73]
  Compare -8 and -28
  Swap -8 and -28
  List after swap: [-69, -28, -8, 1, 13, 23, 51, 64, 73]

Pass 8:
  Compare -69 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -28, -8, 1, 13, 23, 51, 64, 73]
</think>

<response>-69, -28, -8, 1, 13, 23, 51, 64, 73</response>


input: Use the bubble sort technique to reorder -6, -42, 37, -71, 87, -47, -4, -19 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-6, -42, 37, -71, 87, -47, -4, -19]

Pass 1:
  Compare -6 and -42
  Swap -6 and -42
  List after swap: [-42, -6, 37, -71, 87, -47, -4, -19]
  Compare -6 and 37
  No swap needed
  Compare 37 and -71
  Swap 37 and -71
  List after swap: [-42, -6, -71, 37, 87, -47, -4, -19]
  Compare 37 and 87
  No swap needed
  Compare 87 and -47
  Swap 87 and -47
  List after swap: [-42, -6, -71, 37, -47, 87, -4, -19]
  Compare 87 and -4
  Swap 87 and -4
  List after swap: [-42, -6, -71, 37, -47, -4, 87, -19]
  Compare 87 and -19
  Swap 87 and -19
  List after swap: [-42, -6, -71, 37, -47, -4, -19, 87]

Pass 2:
  Compare -42 and -6
  No swap needed
  Compare -6 and -71
  Swap -6 and -71
  List after swap: [-42, -71, -6, 37, -47, -4, -19, 87]
  Compare -6 and 37
  No swap needed
  Compare 37 and -47
  Swap 37 and -47
  List after swap: [-42, -71, -6, -47, 37, -4, -19, 87]
  Compare 37 and -4
  Swap 37 and -4
  List after swap: [-42, -71, -6, -47, -4, 37, -19, 87]
  Compare 37 and -19
  Swap 37 and -19
  List after swap: [-42, -71, -6, -47, -4, -19, 37, 87]

Pass 3:
  Compare -42 and -71
  Swap -42 and -71
  List after swap: [-71, -42, -6, -47, -4, -19, 37, 87]
  Compare -42 and -6
  No swap needed
  Compare -6 and -47
  Swap -6 and -47
  List after swap: [-71, -42, -47, -6, -4, -19, 37, 87]
  Compare -6 and -4
  No swap needed
  Compare -4 and -19
  Swap -4 and -19
  List after swap: [-71, -42, -47, -6, -19, -4, 37, 87]

Pass 4:
  Compare -71 and -42
  No swap needed
  Compare -42 and -47
  Swap -42 and -47
  List after swap: [-71, -47, -42, -6, -19, -4, 37, 87]
  Compare -42 and -6
  No swap needed
  Compare -6 and -19
  Swap -6 and -19
  List after swap: [-71, -47, -42, -19, -6, -4, 37, 87]

Pass 5:
  Compare -71 and -47
  No swap needed
  Compare -47 and -42
  No swap needed
  Compare -42 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -47, -42, -19, -6, -4, 37, 87]
</think>

<response>-71, -47, -42, -19, -6, -4, 37, 87</response>


input: Use the bubble sort technique to reorder 36, -95, 28, -1, 72, -88, 81, 92, 50 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [36, -95, 28, -1, 72, -88, 81, 92, 50]

Pass 1:
  Compare 36 and -95
  Swap 36 and -95
  List after swap: [-95, 36, 28, -1, 72, -88, 81, 92, 50]
  Compare 36 and 28
  Swap 36 and 28
  List after swap: [-95, 28, 36, -1, 72, -88, 81, 92, 50]
  Compare 36 and -1
  Swap 36 and -1
  List after swap: [-95, 28, -1, 36, 72, -88, 81, 92, 50]
  Compare 36 and 72
  No swap needed
  Compare 72 and -88
  Swap 72 and -88
  List after swap: [-95, 28, -1, 36, -88, 72, 81, 92, 50]
  Compare 72 and 81
  No swap needed
  Compare 81 and 92
  No swap needed
  Compare 92 and 50
  Swap 92 and 50
  List after swap: [-95, 28, -1, 36, -88, 72, 81, 50, 92]

Pass 2:
  Compare -95 and 28
  No swap needed
  Compare 28 and -1
  Swap 28 and -1
  List after swap: [-95, -1, 28, 36, -88, 72, 81, 50, 92]
  Compare 28 and 36
  No swap needed
  Compare 36 and -88
  Swap 36 and -88
  List after swap: [-95, -1, 28, -88, 36, 72, 81, 50, 92]
  Compare 36 and 72
  No swap needed
  Compare 72 and 81
  No swap needed
  Compare 81 and 50
  Swap 81 and 50
  List after swap: [-95, -1, 28, -88, 36, 72, 50, 81, 92]

Pass 3:
  Compare -95 and -1
  No swap needed
  Compare -1 and 28
  No swap needed
  Compare 28 and -88
  Swap 28 and -88
  List after swap: [-95, -1, -88, 28, 36, 72, 50, 81, 92]
  Compare 28 and 36
  No swap needed
  Compare 36 and 72
  No swap needed
  Compare 72 and 50
  Swap 72 and 50
  List after swap: [-95, -1, -88, 28, 36, 50, 72, 81, 92]

Pass 4:
  Compare -95 and -1
  No swap needed
  Compare -1 and -88
  Swap -1 and -88
  List after swap: [-95, -88, -1, 28, 36, 50, 72, 81, 92]
  Compare -1 and 28
  No swap needed
  Compare 28 and 36
  No swap needed
  Compare 36 and 50
  No swap needed

Pass 5:
  Compare -95 and -88
  No swap needed
  Compare -88 and -1
  No swap needed
  Compare -1 and 28
  No swap needed
  Compare 28 and 36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -88, -1, 28, 36, 50, 72, 81, 92]
</think>

<response>-95, -88, -1, 28, 36, 50, 72, 81, 92</response>


input: Demonstrate how bubble sort orders the integers 30, 21, -93, -16, -2, 60 in ascending sequence, showing all steps.

output:
<think>
Initial list: [30, 21, -93, -16, -2, 60]

Pass 1:
  Compare 30 and 21
  Swap 30 and 21
  List after swap: [21, 30, -93, -16, -2, 60]
  Compare 30 and -93
  Swap 30 and -93
  List after swap: [21, -93, 30, -16, -2, 60]
  Compare 30 and -16
  Swap 30 and -16
  List after swap: [21, -93, -16, 30, -2, 60]
  Compare 30 and -2
  Swap 30 and -2
  List after swap: [21, -93, -16, -2, 30, 60]
  Compare 30 and 60
  No swap needed

Pass 2:
  Compare 21 and -93
  Swap 21 and -93
  List after swap: [-93, 21, -16, -2, 30, 60]
  Compare 21 and -16
  Swap 21 and -16
  List after swap: [-93, -16, 21, -2, 30, 60]
  Compare 21 and -2
  Swap 21 and -2
  List after swap: [-93, -16, -2, 21, 30, 60]
  Compare 21 and 30
  No swap needed

Pass 3:
  Compare -93 and -16
  No swap needed
  Compare -16 and -2
  No swap needed
  Compare -2 and 21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -16, -2, 21, 30, 60]
</think>

<response>-93, -16, -2, 21, 30, 60</response>


input: Demonstrate how bubble sort orders the integers 59, 69, 86 in ascending sequence, showing all steps.

output:
<think>
Initial list: [59, 69, 86]

Pass 1:
  Compare 59 and 69
  No swap needed
  Compare 69 and 86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [59, 69, 86]
</think>

<response>59, 69, 86</response>


input: Sort the list -80, 65, -13, -96, -23 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-80, 65, -13, -96, -23]

Pass 1:
  Compare -80 and 65
  No swap needed
  Compare 65 and -13
  Swap 65 and -13
  List after swap: [-80, -13, 65, -96, -23]
  Compare 65 and -96
  Swap 65 and -96
  List after swap: [-80, -13, -96, 65, -23]
  Compare 65 and -23
  Swap 65 and -23
  List after swap: [-80, -13, -96, -23, 65]

Pass 2:
  Compare -80 and -13
  No swap needed
  Compare -13 and -96
  Swap -13 and -96
  List after swap: [-80, -96, -13, -23, 65]
  Compare -13 and -23
  Swap -13 and -23
  List after swap: [-80, -96, -23, -13, 65]

Pass 3:
  Compare -80 and -96
  Swap -80 and -96
  List after swap: [-96, -80, -23, -13, 65]
  Compare -80 and -23
  No swap needed

Pass 4:
  Compare -96 and -80
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -80, -23, -13, 65]
</think>

<response>-96, -80, -23, -13, 65</response>


input: Arrange the numbers -32, -34, -1, -87, 1, 98, -18, -82, 0, -44 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-32, -34, -1, -87, 1, 98, -18, -82, 0, -44]

Pass 1:
  Compare -32 and -34
  Swap -32 and -34
  List after swap: [-34, -32, -1, -87, 1, 98, -18, -82, 0, -44]
  Compare -32 and -1
  No swap needed
  Compare -1 and -87
  Swap -1 and -87
  List after swap: [-34, -32, -87, -1, 1, 98, -18, -82, 0, -44]
  Compare -1 and 1
  No swap needed
  Compare 1 and 98
  No swap needed
  Compare 98 and -18
  Swap 98 and -18
  List after swap: [-34, -32, -87, -1, 1, -18, 98, -82, 0, -44]
  Compare 98 and -82
  Swap 98 and -82
  List after swap: [-34, -32, -87, -1, 1, -18, -82, 98, 0, -44]
  Compare 98 and 0
  Swap 98 and 0
  List after swap: [-34, -32, -87, -1, 1, -18, -82, 0, 98, -44]
  Compare 98 and -44
  Swap 98 and -44
  List after swap: [-34, -32, -87, -1, 1, -18, -82, 0, -44, 98]

Pass 2:
  Compare -34 and -32
  No swap needed
  Compare -32 and -87
  Swap -32 and -87
  List after swap: [-34, -87, -32, -1, 1, -18, -82, 0, -44, 98]
  Compare -32 and -1
  No swap needed
  Compare -1 and 1
  No swap needed
  Compare 1 and -18
  Swap 1 and -18
  List after swap: [-34, -87, -32, -1, -18, 1, -82, 0, -44, 98]
  Compare 1 and -82
  Swap 1 and -82
  List after swap: [-34, -87, -32, -1, -18, -82, 1, 0, -44, 98]
  Compare 1 and 0
  Swap 1 and 0
  List after swap: [-34, -87, -32, -1, -18, -82, 0, 1, -44, 98]
  Compare 1 and -44
  Swap 1 and -44
  List after swap: [-34, -87, -32, -1, -18, -82, 0, -44, 1, 98]

Pass 3:
  Compare -34 and -87
  Swap -34 and -87
  List after swap: [-87, -34, -32, -1, -18, -82, 0, -44, 1, 98]
  Compare -34 and -32
  No swap needed
  Compare -32 and -1
  No swap needed
  Compare -1 and -18
  Swap -1 and -18
  List after swap: [-87, -34, -32, -18, -1, -82, 0, -44, 1, 98]
  Compare -1 and -82
  Swap -1 and -82
  List after swap: [-87, -34, -32, -18, -82, -1, 0, -44, 1, 98]
  Compare -1 and 0
  No swap needed
  Compare 0 and -44
  Swap 0 and -44
  List after swap: [-87, -34, -32, -18, -82, -1, -44, 0, 1, 98]

Pass 4:
  Compare -87 and -34
  No swap needed
  Compare -34 and -32
  No swap needed
  Compare -32 and -18
  No swap needed
  Compare -18 and -82
  Swap -18 and -82
  List after swap: [-87, -34, -32, -82, -18, -1, -44, 0, 1, 98]
  Compare -18 and -1
  No swap needed
  Compare -1 and -44
  Swap -1 and -44
  List after swap: [-87, -34, -32, -82, -18, -44, -1, 0, 1, 98]

Pass 5:
  Compare -87 and -34
  No swap needed
  Compare -34 and -32
  No swap needed
  Compare -32 and -82
  Swap -32 and -82
  List after swap: [-87, -34, -82, -32, -18, -44, -1, 0, 1, 98]
  Compare -32 and -18
  No swap needed
  Compare -18 and -44
  Swap -18 and -44
  List after swap: [-87, -34, -82, -32, -44, -18, -1, 0, 1, 98]

Pass 6:
  Compare -87 and -34
  No swap needed
  Compare -34 and -82
  Swap -34 and -82
  List after swap: [-87, -82, -34, -32, -44, -18, -1, 0, 1, 98]
  Compare -34 and -32
  No swap needed
  Compare -32 and -44
  Swap -32 and -44
  List after swap: [-87, -82, -34, -44, -32, -18, -1, 0, 1, 98]

Pass 7:
  Compare -87 and -82
  No swap needed
  Compare -82 and -34
  No swap needed
  Compare -34 and -44
  Swap -34 and -44
  List after swap: [-87, -82, -44, -34, -32, -18, -1, 0, 1, 98]

Pass 8:
  Compare -87 and -82
  No swap needed
  Compare -82 and -44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -82, -44, -34, -32, -18, -1, 0, 1, 98]
</think>

<response>-87, -82, -44, -34, -32, -18, -1, 0, 1, 98</response>


input: Arrange the numbers 79, 14 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [79, 14]

Pass 1:
  Compare 79 and 14
  Swap 79 and 14
  List after swap: [14, 79]

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

Final sorted list: [14, 79]
</think>

<response>14, 79</response>


input: Sort these integers -31, 84, 24, -15, -9, 5 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-31, 84, 24, -15, -9, 5]

Pass 1:
  Compare -31 and 84
  No swap needed
  Compare 84 and 24
  Swap 84 and 24
  List after swap: [-31, 24, 84, -15, -9, 5]
  Compare 84 and -15
  Swap 84 and -15
  List after swap: [-31, 24, -15, 84, -9, 5]
  Compare 84 and -9
  Swap 84 and -9
  List after swap: [-31, 24, -15, -9, 84, 5]
  Compare 84 and 5
  Swap 84 and 5
  List after swap: [-31, 24, -15, -9, 5, 84]

Pass 2:
  Compare -31 and 24
  No swap needed
  Compare 24 and -15
  Swap 24 and -15
  List after swap: [-31, -15, 24, -9, 5, 84]
  Compare 24 and -9
  Swap 24 and -9
  List after swap: [-31, -15, -9, 24, 5, 84]
  Compare 24 and 5
  Swap 24 and 5
  List after swap: [-31, -15, -9, 5, 24, 84]

Pass 3:
  Compare -31 and -15
  No swap needed
  Compare -15 and -9
  No swap needed
  Compare -9 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-31, -15, -9, 5, 24, 84]
</think>

<response>-31, -15, -9, 5, 24, 84</response>


input: Demonstrate how bubble sort orders the integers 31, -70, -37, 54, -13, 47, -67 in ascending sequence, showing all steps.

output:
<think>
Initial list: [31, -70, -37, 54, -13, 47, -67]

Pass 1:
  Compare 31 and -70
  Swap 31 and -70
  List after swap: [-70, 31, -37, 54, -13, 47, -67]
  Compare 31 and -37
  Swap 31 and -37
  List after swap: [-70, -37, 31, 54, -13, 47, -67]
  Compare 31 and 54
  No swap needed
  Compare 54 and -13
  Swap 54 and -13
  List after swap: [-70, -37, 31, -13, 54, 47, -67]
  Compare 54 and 47
  Swap 54 and 47
  List after swap: [-70, -37, 31, -13, 47, 54, -67]
  Compare 54 and -67
  Swap 54 and -67
  List after swap: [-70, -37, 31, -13, 47, -67, 54]

Pass 2:
  Compare -70 and -37
  No swap needed
  Compare -37 and 31
  No swap needed
  Compare 31 and -13
  Swap 31 and -13
  List after swap: [-70, -37, -13, 31, 47, -67, 54]
  Compare 31 and 47
  No swap needed
  Compare 47 and -67
  Swap 47 and -67
  List after swap: [-70, -37, -13, 31, -67, 47, 54]

Pass 3:
  Compare -70 and -37
  No swap needed
  Compare -37 and -13
  No swap needed
  Compare -13 and 31
  No swap needed
  Compare 31 and -67
  Swap 31 and -67
  List after swap: [-70, -37, -13, -67, 31, 47, 54]

Pass 4:
  Compare -70 and -37
  No swap needed
  Compare -37 and -13
  No swap needed
  Compare -13 and -67
  Swap -13 and -67
  List after swap: [-70, -37, -67, -13, 31, 47, 54]

Pass 5:
  Compare -70 and -37
  No swap needed
  Compare -37 and -67
  Swap -37 and -67
  List after swap: [-70, -67, -37, -13, 31, 47, 54]

Pass 6:
  Compare -70 and -67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -67, -37, -13, 31, 47, 54]
</think>

<response>-70, -67, -37, -13, 31, 47, 54</response>


input: Carry out the bubble sort algorithm on -94, -72, 54 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-94, -72, 54]

Pass 1:
  Compare -94 and -72
  No swap needed
  Compare -72 and 54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -72, 54]
</think>

<response>-94, -72, 54</response>


input: Carry out the bubble sort algorithm on -52, 62, -67 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-52, 62, -67]

Pass 1:
  Compare -52 and 62
  No swap needed
  Compare 62 and -67
  Swap 62 and -67
  List after swap: [-52, -67, 62]

Pass 2:
  Compare -52 and -67
  Swap -52 and -67
  List after swap: [-67, -52, 62]

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

Final sorted list: [-67, -52, 62]
</think>

<response>-67, -52, 62</response>


input: Using the bubble sort method, sort 9, 96, 24, 93, 59, -31, 56, -17, -65 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [9, 96, 24, 93, 59, -31, 56, -17, -65]

Pass 1:
  Compare 9 and 96
  No swap needed
  Compare 96 and 24
  Swap 96 and 24
  List after swap: [9, 24, 96, 93, 59, -31, 56, -17, -65]
  Compare 96 and 93
  Swap 96 and 93
  List after swap: [9, 24, 93, 96, 59, -31, 56, -17, -65]
  Compare 96 and 59
  Swap 96 and 59
  List after swap: [9, 24, 93, 59, 96, -31, 56, -17, -65]
  Compare 96 and -31
  Swap 96 and -31
  List after swap: [9, 24, 93, 59, -31, 96, 56, -17, -65]
  Compare 96 and 56
  Swap 96 and 56
  List after swap: [9, 24, 93, 59, -31, 56, 96, -17, -65]
  Compare 96 and -17
  Swap 96 and -17
  List after swap: [9, 24, 93, 59, -31, 56, -17, 96, -65]
  Compare 96 and -65
  Swap 96 and -65
  List after swap: [9, 24, 93, 59, -31, 56, -17, -65, 96]

Pass 2:
  Compare 9 and 24
  No swap needed
  Compare 24 and 93
  No swap needed
  Compare 93 and 59
  Swap 93 and 59
  List after swap: [9, 24, 59, 93, -31, 56, -17, -65, 96]
  Compare 93 and -31
  Swap 93 and -31
  List after swap: [9, 24, 59, -31, 93, 56, -17, -65, 96]
  Compare 93 and 56
  Swap 93 and 56
  List after swap: [9, 24, 59, -31, 56, 93, -17, -65, 96]
  Compare 93 and -17
  Swap 93 and -17
  List after swap: [9, 24, 59, -31, 56, -17, 93, -65, 96]
  Compare 93 and -65
  Swap 93 and -65
  List after swap: [9, 24, 59, -31, 56, -17, -65, 93, 96]

Pass 3:
  Compare 9 and 24
  No swap needed
  Compare 24 and 59
  No swap needed
  Compare 59 and -31
  Swap 59 and -31
  List after swap: [9, 24, -31, 59, 56, -17, -65, 93, 96]
  Compare 59 and 56
  Swap 59 and 56
  List after swap: [9, 24, -31, 56, 59, -17, -65, 93, 96]
  Compare 59 and -17
  Swap 59 and -17
  List after swap: [9, 24, -31, 56, -17, 59, -65, 93, 96]
  Compare 59 and -65
  Swap 59 and -65
  List after swap: [9, 24, -31, 56, -17, -65, 59, 93, 96]

Pass 4:
  Compare 9 and 24
  No swap needed
  Compare 24 and -31
  Swap 24 and -31
  List after swap: [9, -31, 24, 56, -17, -65, 59, 93, 96]
  Compare 24 and 56
  No swap needed
  Compare 56 and -17
  Swap 56 and -17
  List after swap: [9, -31, 24, -17, 56, -65, 59, 93, 96]
  Compare 56 and -65
  Swap 56 and -65
  List after swap: [9, -31, 24, -17, -65, 56, 59, 93, 96]

Pass 5:
  Compare 9 and -31
  Swap 9 and -31
  List after swap: [-31, 9, 24, -17, -65, 56, 59, 93, 96]
  Compare 9 and 24
  No swap needed
  Compare 24 and -17
  Swap 24 and -17
  List after swap: [-31, 9, -17, 24, -65, 56, 59, 93, 96]
  Compare 24 and -65
  Swap 24 and -65
  List after swap: [-31, 9, -17, -65, 24, 56, 59, 93, 96]

Pass 6:
  Compare -31 and 9
  No swap needed
  Compare 9 and -17
  Swap 9 and -17
  List after swap: [-31, -17, 9, -65, 24, 56, 59, 93, 96]
  Compare 9 and -65
  Swap 9 and -65
  List after swap: [-31, -17, -65, 9, 24, 56, 59, 93, 96]

Pass 7:
  Compare -31 and -17
  No swap needed
  Compare -17 and -65
  Swap -17 and -65
  List after swap: [-31, -65, -17, 9, 24, 56, 59, 93, 96]

Pass 8:
  Compare -31 and -65
  Swap -31 and -65
  List after swap: [-65, -31, -17, 9, 24, 56, 59, 93, 96]

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

Final sorted list: [-65, -31, -17, 9, 24, 56, 59, 93, 96]
</think>

<response>-65, -31, -17, 9, 24, 56, 59, 93, 96</response>


input: Sort the list -14, 65, -6, 18, 66, -57, 96 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-14, 65, -6, 18, 66, -57, 96]

Pass 1:
  Compare -14 and 65
  No swap needed
  Compare 65 and -6
  Swap 65 and -6
  List after swap: [-14, -6, 65, 18, 66, -57, 96]
  Compare 65 and 18
  Swap 65 and 18
  List after swap: [-14, -6, 18, 65, 66, -57, 96]
  Compare 65 and 66
  No swap needed
  Compare 66 and -57
  Swap 66 and -57
  List after swap: [-14, -6, 18, 65, -57, 66, 96]
  Compare 66 and 96
  No swap needed

Pass 2:
  Compare -14 and -6
  No swap needed
  Compare -6 and 18
  No swap needed
  Compare 18 and 65
  No swap needed
  Compare 65 and -57
  Swap 65 and -57
  List after swap: [-14, -6, 18, -57, 65, 66, 96]
  Compare 65 and 66
  No swap needed

Pass 3:
  Compare -14 and -6
  No swap needed
  Compare -6 and 18
  No swap needed
  Compare 18 and -57
  Swap 18 and -57
  List after swap: [-14, -6, -57, 18, 65, 66, 96]
  Compare 18 and 65
  No swap needed

Pass 4:
  Compare -14 and -6
  No swap needed
  Compare -6 and -57
  Swap -6 and -57
  List after swap: [-14, -57, -6, 18, 65, 66, 96]
  Compare -6 and 18
  No swap needed

Pass 5:
  Compare -14 and -57
  Swap -14 and -57
  List after swap: [-57, -14, -6, 18, 65, 66, 96]
  Compare -14 and -6
  No swap needed

Pass 6:
  Compare -57 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -14, -6, 18, 65, 66, 96]
</think>

<response>-57, -14, -6, 18, 65, 66, 96</response>


input: Carry out the bubble sort algorithm on -80, 40, -33, -100, 81, 44, 74, 22, -23 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-80, 40, -33, -100, 81, 44, 74, 22, -23]

Pass 1:
  Compare -80 and 40
  No swap needed
  Compare 40 and -33
  Swap 40 and -33
  List after swap: [-80, -33, 40, -100, 81, 44, 74, 22, -23]
  Compare 40 and -100
  Swap 40 and -100
  List after swap: [-80, -33, -100, 40, 81, 44, 74, 22, -23]
  Compare 40 and 81
  No swap needed
  Compare 81 and 44
  Swap 81 and 44
  List after swap: [-80, -33, -100, 40, 44, 81, 74, 22, -23]
  Compare 81 and 74
  Swap 81 and 74
  List after swap: [-80, -33, -100, 40, 44, 74, 81, 22, -23]
  Compare 81 and 22
  Swap 81 and 22
  List after swap: [-80, -33, -100, 40, 44, 74, 22, 81, -23]
  Compare 81 and -23
  Swap 81 and -23
  List after swap: [-80, -33, -100, 40, 44, 74, 22, -23, 81]

Pass 2:
  Compare -80 and -33
  No swap needed
  Compare -33 and -100
  Swap -33 and -100
  List after swap: [-80, -100, -33, 40, 44, 74, 22, -23, 81]
  Compare -33 and 40
  No swap needed
  Compare 40 and 44
  No swap needed
  Compare 44 and 74
  No swap needed
  Compare 74 and 22
  Swap 74 and 22
  List after swap: [-80, -100, -33, 40, 44, 22, 74, -23, 81]
  Compare 74 and -23
  Swap 74 and -23
  List after swap: [-80, -100, -33, 40, 44, 22, -23, 74, 81]

Pass 3:
  Compare -80 and -100
  Swap -80 and -100
  List after swap: [-100, -80, -33, 40, 44, 22, -23, 74, 81]
  Compare -80 and -33
  No swap needed
  Compare -33 and 40
  No swap needed
  Compare 40 and 44
  No swap needed
  Compare 44 and 22
  Swap 44 and 22
  List after swap: [-100, -80, -33, 40, 22, 44, -23, 74, 81]
  Compare 44 and -23
  Swap 44 and -23
  List after swap: [-100, -80, -33, 40, 22, -23, 44, 74, 81]

Pass 4:
  Compare -100 and -80
  No swap needed
  Compare -80 and -33
  No swap needed
  Compare -33 and 40
  No swap needed
  Compare 40 and 22
  Swap 40 and 22
  List after swap: [-100, -80, -33, 22, 40, -23, 44, 74, 81]
  Compare 40 and -23
  Swap 40 and -23
  List after swap: [-100, -80, -33, 22, -23, 40, 44, 74, 81]

Pass 5:
  Compare -100 and -80
  No swap needed
  Compare -80 and -33
  No swap needed
  Compare -33 and 22
  No swap needed
  Compare 22 and -23
  Swap 22 and -23
  List after swap: [-100, -80, -33, -23, 22, 40, 44, 74, 81]

Pass 6:
  Compare -100 and -80
  No swap needed
  Compare -80 and -33
  No swap needed
  Compare -33 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -80, -33, -23, 22, 40, 44, 74, 81]
</think>

<response>-100, -80, -33, -23, 22, 40, 44, 74, 81</response>


input: Sort these integers 96, -95, 95 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [96, -95, 95]

Pass 1:
  Compare 96 and -95
  Swap 96 and -95
  List after swap: [-95, 96, 95]
  Compare 96 and 95
  Swap 96 and 95
  List after swap: [-95, 95, 96]

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

Final sorted list: [-95, 95, 96]
</think>

<response>-95, 95, 96</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 41, 12.

output:
<think>
Initial list: [41, 12]

Pass 1:
  Compare 41 and 12
  Swap 41 and 12
  List after swap: [12, 41]

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

Final sorted list: [12, 41]
</think>

<response>12, 41</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 89, 14, -94, -82, 16, -72, 74, 9, 96, -6.

output:
<think>
Initial list: [89, 14, -94, -82, 16, -72, 74, 9, 96, -6]

Pass 1:
  Compare 89 and 14
  Swap 89 and 14
  List after swap: [14, 89, -94, -82, 16, -72, 74, 9, 96, -6]
  Compare 89 and -94
  Swap 89 and -94
  List after swap: [14, -94, 89, -82, 16, -72, 74, 9, 96, -6]
  Compare 89 and -82
  Swap 89 and -82
  List after swap: [14, -94, -82, 89, 16, -72, 74, 9, 96, -6]
  Compare 89 and 16
  Swap 89 and 16
  List after swap: [14, -94, -82, 16, 89, -72, 74, 9, 96, -6]
  Compare 89 and -72
  Swap 89 and -72
  List after swap: [14, -94, -82, 16, -72, 89, 74, 9, 96, -6]
  Compare 89 and 74
  Swap 89 and 74
  List after swap: [14, -94, -82, 16, -72, 74, 89, 9, 96, -6]
  Compare 89 and 9
  Swap 89 and 9
  List after swap: [14, -94, -82, 16, -72, 74, 9, 89, 96, -6]
  Compare 89 and 96
  No swap needed
  Compare 96 and -6
  Swap 96 and -6
  List after swap: [14, -94, -82, 16, -72, 74, 9, 89, -6, 96]

Pass 2:
  Compare 14 and -94
  Swap 14 and -94
  List after swap: [-94, 14, -82, 16, -72, 74, 9, 89, -6, 96]
  Compare 14 and -82
  Swap 14 and -82
  List after swap: [-94, -82, 14, 16, -72, 74, 9, 89, -6, 96]
  Compare 14 and 16
  No swap needed
  Compare 16 and -72
  Swap 16 and -72
  List after swap: [-94, -82, 14, -72, 16, 74, 9, 89, -6, 96]
  Compare 16 and 74
  No swap needed
  Compare 74 and 9
  Swap 74 and 9
  List after swap: [-94, -82, 14, -72, 16, 9, 74, 89, -6, 96]
  Compare 74 and 89
  No swap needed
  Compare 89 and -6
  Swap 89 and -6
  List after swap: [-94, -82, 14, -72, 16, 9, 74, -6, 89, 96]

Pass 3:
  Compare -94 and -82
  No swap needed
  Compare -82 and 14
  No swap needed
  Compare 14 and -72
  Swap 14 and -72
  List after swap: [-94, -82, -72, 14, 16, 9, 74, -6, 89, 96]
  Compare 14 and 16
  No swap needed
  Compare 16 and 9
  Swap 16 and 9
  List after swap: [-94, -82, -72, 14, 9, 16, 74, -6, 89, 96]
  Compare 16 and 74
  No swap needed
  Compare 74 and -6
  Swap 74 and -6
  List after swap: [-94, -82, -72, 14, 9, 16, -6, 74, 89, 96]

Pass 4:
  Compare -94 and -82
  No swap needed
  Compare -82 and -72
  No swap needed
  Compare -72 and 14
  No swap needed
  Compare 14 and 9
  Swap 14 and 9
  List after swap: [-94, -82, -72, 9, 14, 16, -6, 74, 89, 96]
  Compare 14 and 16
  No swap needed
  Compare 16 and -6
  Swap 16 and -6
  List after swap: [-94, -82, -72, 9, 14, -6, 16, 74, 89, 96]

Pass 5:
  Compare -94 and -82
  No swap needed
  Compare -82 and -72
  No swap needed
  Compare -72 and 9
  No swap needed
  Compare 9 and 14
  No swap needed
  Compare 14 and -6
  Swap 14 and -6
  List after swap: [-94, -82, -72, 9, -6, 14, 16, 74, 89, 96]

Pass 6:
  Compare -94 and -82
  No swap needed
  Compare -82 and -72
  No swap needed
  Compare -72 and 9
  No swap needed
  Compare 9 and -6
  Swap 9 and -6
  List after swap: [-94, -82, -72, -6, 9, 14, 16, 74, 89, 96]

Pass 7:
  Compare -94 and -82
  No swap needed
  Compare -82 and -72
  No swap needed
  Compare -72 and -6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -82, -72, -6, 9, 14, 16, 74, 89, 96]
</think>

<response>-94, -82, -72, -6, 9, 14, 16, 74, 89, 96</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 28, 69, 17, -3.

output:
<think>
Initial list: [28, 69, 17, -3]

Pass 1:
  Compare 28 and 69
  No swap needed
  Compare 69 and 17
  Swap 69 and 17
  List after swap: [28, 17, 69, -3]
  Compare 69 and -3
  Swap 69 and -3
  List after swap: [28, 17, -3, 69]

Pass 2:
  Compare 28 and 17
  Swap 28 and 17
  List after swap: [17, 28, -3, 69]
  Compare 28 and -3
  Swap 28 and -3
  List after swap: [17, -3, 28, 69]

Pass 3:
  Compare 17 and -3
  Swap 17 and -3
  List after swap: [-3, 17, 28, 69]

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

Final sorted list: [-3, 17, 28, 69]
</think>

<response>-3, 17, 28, 69</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -47, -70, 62, 98, 32, -29, -37, -55.

output:
<think>
Initial list: [-47, -70, 62, 98, 32, -29, -37, -55]

Pass 1:
  Compare -47 and -70
  Swap -47 and -70
  List after swap: [-70, -47, 62, 98, 32, -29, -37, -55]
  Compare -47 and 62
  No swap needed
  Compare 62 and 98
  No swap needed
  Compare 98 and 32
  Swap 98 and 32
  List after swap: [-70, -47, 62, 32, 98, -29, -37, -55]
  Compare 98 and -29
  Swap 98 and -29
  List after swap: [-70, -47, 62, 32, -29, 98, -37, -55]
  Compare 98 and -37
  Swap 98 and -37
  List after swap: [-70, -47, 62, 32, -29, -37, 98, -55]
  Compare 98 and -55
  Swap 98 and -55
  List after swap: [-70, -47, 62, 32, -29, -37, -55, 98]

Pass 2:
  Compare -70 and -47
  No swap needed
  Compare -47 and 62
  No swap needed
  Compare 62 and 32
  Swap 62 and 32
  List after swap: [-70, -47, 32, 62, -29, -37, -55, 98]
  Compare 62 and -29
  Swap 62 and -29
  List after swap: [-70, -47, 32, -29, 62, -37, -55, 98]
  Compare 62 and -37
  Swap 62 and -37
  List after swap: [-70, -47, 32, -29, -37, 62, -55, 98]
  Compare 62 and -55
  Swap 62 and -55
  List after swap: [-70, -47, 32, -29, -37, -55, 62, 98]

Pass 3:
  Compare -70 and -47
  No swap needed
  Compare -47 and 32
  No swap needed
  Compare 32 and -29
  Swap 32 and -29
  List after swap: [-70, -47, -29, 32, -37, -55, 62, 98]
  Compare 32 and -37
  Swap 32 and -37
  List after swap: [-70, -47, -29, -37, 32, -55, 62, 98]
  Compare 32 and -55
  Swap 32 and -55
  List after swap: [-70, -47, -29, -37, -55, 32, 62, 98]

Pass 4:
  Compare -70 and -47
  No swap needed
  Compare -47 and -29
  No swap needed
  Compare -29 and -37
  Swap -29 and -37
  List after swap: [-70, -47, -37, -29, -55, 32, 62, 98]
  Compare -29 and -55
  Swap -29 and -55
  List after swap: [-70, -47, -37, -55, -29, 32, 62, 98]

Pass 5:
  Compare -70 and -47
  No swap needed
  Compare -47 and -37
  No swap needed
  Compare -37 and -55
  Swap -37 and -55
  List after swap: [-70, -47, -55, -37, -29, 32, 62, 98]

Pass 6:
  Compare -70 and -47
  No swap needed
  Compare -47 and -55
  Swap -47 and -55
  List after swap: [-70, -55, -47, -37, -29, 32, 62, 98]

Pass 7:
  Compare -70 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -55, -47, -37, -29, 32, 62, 98]
</think>

<response>-70, -55, -47, -37, -29, 32, 62, 98</response>