input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 87, -43, 20, 21, -9, 50.

output:
<think>
Initial list: [87, -43, 20, 21, -9, 50]

Pass 1:
  Compare 87 and -43
  Swap 87 and -43
  List after swap: [-43, 87, 20, 21, -9, 50]
  Compare 87 and 20
  Swap 87 and 20
  List after swap: [-43, 20, 87, 21, -9, 50]
  Compare 87 and 21
  Swap 87 and 21
  List after swap: [-43, 20, 21, 87, -9, 50]
  Compare 87 and -9
  Swap 87 and -9
  List after swap: [-43, 20, 21, -9, 87, 50]
  Compare 87 and 50
  Swap 87 and 50
  List after swap: [-43, 20, 21, -9, 50, 87]

Pass 2:
  Compare -43 and 20
  No swap needed
  Compare 20 and 21
  No swap needed
  Compare 21 and -9
  Swap 21 and -9
  List after swap: [-43, 20, -9, 21, 50, 87]
  Compare 21 and 50
  No swap needed

Pass 3:
  Compare -43 and 20
  No swap needed
  Compare 20 and -9
  Swap 20 and -9
  List after swap: [-43, -9, 20, 21, 50, 87]
  Compare 20 and 21
  No swap needed

Pass 4:
  Compare -43 and -9
  No swap needed
  Compare -9 and 20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-43, -9, 20, 21, 50, 87]
</think>

<response>-43, -9, 20, 21, 50, 87</response>


input: Using the bubble sort method, sort 62, 42, -81, 28, 59, -93, -42, 51, 39 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [62, 42, -81, 28, 59, -93, -42, 51, 39]

Pass 1:
  Compare 62 and 42
  Swap 62 and 42
  List after swap: [42, 62, -81, 28, 59, -93, -42, 51, 39]
  Compare 62 and -81
  Swap 62 and -81
  List after swap: [42, -81, 62, 28, 59, -93, -42, 51, 39]
  Compare 62 and 28
  Swap 62 and 28
  List after swap: [42, -81, 28, 62, 59, -93, -42, 51, 39]
  Compare 62 and 59
  Swap 62 and 59
  List after swap: [42, -81, 28, 59, 62, -93, -42, 51, 39]
  Compare 62 and -93
  Swap 62 and -93
  List after swap: [42, -81, 28, 59, -93, 62, -42, 51, 39]
  Compare 62 and -42
  Swap 62 and -42
  List after swap: [42, -81, 28, 59, -93, -42, 62, 51, 39]
  Compare 62 and 51
  Swap 62 and 51
  List after swap: [42, -81, 28, 59, -93, -42, 51, 62, 39]
  Compare 62 and 39
  Swap 62 and 39
  List after swap: [42, -81, 28, 59, -93, -42, 51, 39, 62]

Pass 2:
  Compare 42 and -81
  Swap 42 and -81
  List after swap: [-81, 42, 28, 59, -93, -42, 51, 39, 62]
  Compare 42 and 28
  Swap 42 and 28
  List after swap: [-81, 28, 42, 59, -93, -42, 51, 39, 62]
  Compare 42 and 59
  No swap needed
  Compare 59 and -93
  Swap 59 and -93
  List after swap: [-81, 28, 42, -93, 59, -42, 51, 39, 62]
  Compare 59 and -42
  Swap 59 and -42
  List after swap: [-81, 28, 42, -93, -42, 59, 51, 39, 62]
  Compare 59 and 51
  Swap 59 and 51
  List after swap: [-81, 28, 42, -93, -42, 51, 59, 39, 62]
  Compare 59 and 39
  Swap 59 and 39
  List after swap: [-81, 28, 42, -93, -42, 51, 39, 59, 62]

Pass 3:
  Compare -81 and 28
  No swap needed
  Compare 28 and 42
  No swap needed
  Compare 42 and -93
  Swap 42 and -93
  List after swap: [-81, 28, -93, 42, -42, 51, 39, 59, 62]
  Compare 42 and -42
  Swap 42 and -42
  List after swap: [-81, 28, -93, -42, 42, 51, 39, 59, 62]
  Compare 42 and 51
  No swap needed
  Compare 51 and 39
  Swap 51 and 39
  List after swap: [-81, 28, -93, -42, 42, 39, 51, 59, 62]

Pass 4:
  Compare -81 and 28
  No swap needed
  Compare 28 and -93
  Swap 28 and -93
  List after swap: [-81, -93, 28, -42, 42, 39, 51, 59, 62]
  Compare 28 and -42
  Swap 28 and -42
  List after swap: [-81, -93, -42, 28, 42, 39, 51, 59, 62]
  Compare 28 and 42
  No swap needed
  Compare 42 and 39
  Swap 42 and 39
  List after swap: [-81, -93, -42, 28, 39, 42, 51, 59, 62]

Pass 5:
  Compare -81 and -93
  Swap -81 and -93
  List after swap: [-93, -81, -42, 28, 39, 42, 51, 59, 62]
  Compare -81 and -42
  No swap needed
  Compare -42 and 28
  No swap needed
  Compare 28 and 39
  No swap needed

Pass 6:
  Compare -93 and -81
  No swap needed
  Compare -81 and -42
  No swap needed
  Compare -42 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -81, -42, 28, 39, 42, 51, 59, 62]
</think>

<response>-93, -81, -42, 28, 39, 42, 51, 59, 62</response>


input: Arrange the numbers -30, -83, -73, -39 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-30, -83, -73, -39]

Pass 1:
  Compare -30 and -83
  Swap -30 and -83
  List after swap: [-83, -30, -73, -39]
  Compare -30 and -73
  Swap -30 and -73
  List after swap: [-83, -73, -30, -39]
  Compare -30 and -39
  Swap -30 and -39
  List after swap: [-83, -73, -39, -30]

Pass 2:
  Compare -83 and -73
  No swap needed
  Compare -73 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -73, -39, -30]
</think>

<response>-83, -73, -39, -30</response>


input: Sort these integers -25, -47, -12, 54, 35 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-25, -47, -12, 54, 35]

Pass 1:
  Compare -25 and -47
  Swap -25 and -47
  List after swap: [-47, -25, -12, 54, 35]
  Compare -25 and -12
  No swap needed
  Compare -12 and 54
  No swap needed
  Compare 54 and 35
  Swap 54 and 35
  List after swap: [-47, -25, -12, 35, 54]

Pass 2:
  Compare -47 and -25
  No swap needed
  Compare -25 and -12
  No swap needed
  Compare -12 and 35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-47, -25, -12, 35, 54]
</think>

<response>-47, -25, -12, 35, 54</response>


input: Demonstrate how bubble sort orders the integers -83, 50, -79, 60, -21, -50 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-83, 50, -79, 60, -21, -50]

Pass 1:
  Compare -83 and 50
  No swap needed
  Compare 50 and -79
  Swap 50 and -79
  List after swap: [-83, -79, 50, 60, -21, -50]
  Compare 50 and 60
  No swap needed
  Compare 60 and -21
  Swap 60 and -21
  List after swap: [-83, -79, 50, -21, 60, -50]
  Compare 60 and -50
  Swap 60 and -50
  List after swap: [-83, -79, 50, -21, -50, 60]

Pass 2:
  Compare -83 and -79
  No swap needed
  Compare -79 and 50
  No swap needed
  Compare 50 and -21
  Swap 50 and -21
  List after swap: [-83, -79, -21, 50, -50, 60]
  Compare 50 and -50
  Swap 50 and -50
  List after swap: [-83, -79, -21, -50, 50, 60]

Pass 3:
  Compare -83 and -79
  No swap needed
  Compare -79 and -21
  No swap needed
  Compare -21 and -50
  Swap -21 and -50
  List after swap: [-83, -79, -50, -21, 50, 60]

Pass 4:
  Compare -83 and -79
  No swap needed
  Compare -79 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -79, -50, -21, 50, 60]
</think>

<response>-83, -79, -50, -21, 50, 60</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 8, 96, 35.

output:
<think>
Initial list: [8, 96, 35]

Pass 1:
  Compare 8 and 96
  No swap needed
  Compare 96 and 35
  Swap 96 and 35
  List after swap: [8, 35, 96]

Pass 2:
  Compare 8 and 35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [8, 35, 96]
</think>

<response>8, 35, 96</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 78, 51, -20, -43.

output:
<think>
Initial list: [78, 51, -20, -43]

Pass 1:
  Compare 78 and 51
  Swap 78 and 51
  List after swap: [51, 78, -20, -43]
  Compare 78 and -20
  Swap 78 and -20
  List after swap: [51, -20, 78, -43]
  Compare 78 and -43
  Swap 78 and -43
  List after swap: [51, -20, -43, 78]

Pass 2:
  Compare 51 and -20
  Swap 51 and -20
  List after swap: [-20, 51, -43, 78]
  Compare 51 and -43
  Swap 51 and -43
  List after swap: [-20, -43, 51, 78]

Pass 3:
  Compare -20 and -43
  Swap -20 and -43
  List after swap: [-43, -20, 51, 78]

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

Final sorted list: [-43, -20, 51, 78]
</think>

<response>-43, -20, 51, 78</response>


input: Carry out the bubble sort algorithm on 76, 18, -34, -42, 10 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [76, 18, -34, -42, 10]

Pass 1:
  Compare 76 and 18
  Swap 76 and 18
  List after swap: [18, 76, -34, -42, 10]
  Compare 76 and -34
  Swap 76 and -34
  List after swap: [18, -34, 76, -42, 10]
  Compare 76 and -42
  Swap 76 and -42
  List after swap: [18, -34, -42, 76, 10]
  Compare 76 and 10
  Swap 76 and 10
  List after swap: [18, -34, -42, 10, 76]

Pass 2:
  Compare 18 and -34
  Swap 18 and -34
  List after swap: [-34, 18, -42, 10, 76]
  Compare 18 and -42
  Swap 18 and -42
  List after swap: [-34, -42, 18, 10, 76]
  Compare 18 and 10
  Swap 18 and 10
  List after swap: [-34, -42, 10, 18, 76]

Pass 3:
  Compare -34 and -42
  Swap -34 and -42
  List after swap: [-42, -34, 10, 18, 76]
  Compare -34 and 10
  No swap needed

Pass 4:
  Compare -42 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-42, -34, 10, 18, 76]
</think>

<response>-42, -34, 10, 18, 76</response>


input: Demonstrate how bubble sort orders the integers 30, -100, -2, 51, 44, -49, -66 in ascending sequence, showing all steps.

output:
<think>
Initial list: [30, -100, -2, 51, 44, -49, -66]

Pass 1:
  Compare 30 and -100
  Swap 30 and -100
  List after swap: [-100, 30, -2, 51, 44, -49, -66]
  Compare 30 and -2
  Swap 30 and -2
  List after swap: [-100, -2, 30, 51, 44, -49, -66]
  Compare 30 and 51
  No swap needed
  Compare 51 and 44
  Swap 51 and 44
  List after swap: [-100, -2, 30, 44, 51, -49, -66]
  Compare 51 and -49
  Swap 51 and -49
  List after swap: [-100, -2, 30, 44, -49, 51, -66]
  Compare 51 and -66
  Swap 51 and -66
  List after swap: [-100, -2, 30, 44, -49, -66, 51]

Pass 2:
  Compare -100 and -2
  No swap needed
  Compare -2 and 30
  No swap needed
  Compare 30 and 44
  No swap needed
  Compare 44 and -49
  Swap 44 and -49
  List after swap: [-100, -2, 30, -49, 44, -66, 51]
  Compare 44 and -66
  Swap 44 and -66
  List after swap: [-100, -2, 30, -49, -66, 44, 51]

Pass 3:
  Compare -100 and -2
  No swap needed
  Compare -2 and 30
  No swap needed
  Compare 30 and -49
  Swap 30 and -49
  List after swap: [-100, -2, -49, 30, -66, 44, 51]
  Compare 30 and -66
  Swap 30 and -66
  List after swap: [-100, -2, -49, -66, 30, 44, 51]

Pass 4:
  Compare -100 and -2
  No swap needed
  Compare -2 and -49
  Swap -2 and -49
  List after swap: [-100, -49, -2, -66, 30, 44, 51]
  Compare -2 and -66
  Swap -2 and -66
  List after swap: [-100, -49, -66, -2, 30, 44, 51]

Pass 5:
  Compare -100 and -49
  No swap needed
  Compare -49 and -66
  Swap -49 and -66
  List after swap: [-100, -66, -49, -2, 30, 44, 51]

Pass 6:
  Compare -100 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -66, -49, -2, 30, 44, 51]
</think>

<response>-100, -66, -49, -2, 30, 44, 51</response>


input: Perform a bubble sort on the integers -94, 82, 89, -29, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-94, 82, 89, -29]

Pass 1:
  Compare -94 and 82
  No swap needed
  Compare 82 and 89
  No swap needed
  Compare 89 and -29
  Swap 89 and -29
  List after swap: [-94, 82, -29, 89]

Pass 2:
  Compare -94 and 82
  No swap needed
  Compare 82 and -29
  Swap 82 and -29
  List after swap: [-94, -29, 82, 89]

Pass 3:
  Compare -94 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -29, 82, 89]
</think>

<response>-94, -29, 82, 89</response>


input: Using the bubble sort method, sort 64, 69, 89, -56, -94, -77 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [64, 69, 89, -56, -94, -77]

Pass 1:
  Compare 64 and 69
  No swap needed
  Compare 69 and 89
  No swap needed
  Compare 89 and -56
  Swap 89 and -56
  List after swap: [64, 69, -56, 89, -94, -77]
  Compare 89 and -94
  Swap 89 and -94
  List after swap: [64, 69, -56, -94, 89, -77]
  Compare 89 and -77
  Swap 89 and -77
  List after swap: [64, 69, -56, -94, -77, 89]

Pass 2:
  Compare 64 and 69
  No swap needed
  Compare 69 and -56
  Swap 69 and -56
  List after swap: [64, -56, 69, -94, -77, 89]
  Compare 69 and -94
  Swap 69 and -94
  List after swap: [64, -56, -94, 69, -77, 89]
  Compare 69 and -77
  Swap 69 and -77
  List after swap: [64, -56, -94, -77, 69, 89]

Pass 3:
  Compare 64 and -56
  Swap 64 and -56
  List after swap: [-56, 64, -94, -77, 69, 89]
  Compare 64 and -94
  Swap 64 and -94
  List after swap: [-56, -94, 64, -77, 69, 89]
  Compare 64 and -77
  Swap 64 and -77
  List after swap: [-56, -94, -77, 64, 69, 89]

Pass 4:
  Compare -56 and -94
  Swap -56 and -94
  List after swap: [-94, -56, -77, 64, 69, 89]
  Compare -56 and -77
  Swap -56 and -77
  List after swap: [-94, -77, -56, 64, 69, 89]

Pass 5:
  Compare -94 and -77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -77, -56, 64, 69, 89]
</think>

<response>-94, -77, -56, 64, 69, 89</response>


input: Sort these integers -80, 66 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-80, 66]

Pass 1:
  Compare -80 and 66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, 66]
</think>

<response>-80, 66</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 75, 83, -24, -69, 44, -90, 82, 18.

output:
<think>
Initial list: [75, 83, -24, -69, 44, -90, 82, 18]

Pass 1:
  Compare 75 and 83
  No swap needed
  Compare 83 and -24
  Swap 83 and -24
  List after swap: [75, -24, 83, -69, 44, -90, 82, 18]
  Compare 83 and -69
  Swap 83 and -69
  List after swap: [75, -24, -69, 83, 44, -90, 82, 18]
  Compare 83 and 44
  Swap 83 and 44
  List after swap: [75, -24, -69, 44, 83, -90, 82, 18]
  Compare 83 and -90
  Swap 83 and -90
  List after swap: [75, -24, -69, 44, -90, 83, 82, 18]
  Compare 83 and 82
  Swap 83 and 82
  List after swap: [75, -24, -69, 44, -90, 82, 83, 18]
  Compare 83 and 18
  Swap 83 and 18
  List after swap: [75, -24, -69, 44, -90, 82, 18, 83]

Pass 2:
  Compare 75 and -24
  Swap 75 and -24
  List after swap: [-24, 75, -69, 44, -90, 82, 18, 83]
  Compare 75 and -69
  Swap 75 and -69
  List after swap: [-24, -69, 75, 44, -90, 82, 18, 83]
  Compare 75 and 44
  Swap 75 and 44
  List after swap: [-24, -69, 44, 75, -90, 82, 18, 83]
  Compare 75 and -90
  Swap 75 and -90
  List after swap: [-24, -69, 44, -90, 75, 82, 18, 83]
  Compare 75 and 82
  No swap needed
  Compare 82 and 18
  Swap 82 and 18
  List after swap: [-24, -69, 44, -90, 75, 18, 82, 83]

Pass 3:
  Compare -24 and -69
  Swap -24 and -69
  List after swap: [-69, -24, 44, -90, 75, 18, 82, 83]
  Compare -24 and 44
  No swap needed
  Compare 44 and -90
  Swap 44 and -90
  List after swap: [-69, -24, -90, 44, 75, 18, 82, 83]
  Compare 44 and 75
  No swap needed
  Compare 75 and 18
  Swap 75 and 18
  List after swap: [-69, -24, -90, 44, 18, 75, 82, 83]

Pass 4:
  Compare -69 and -24
  No swap needed
  Compare -24 and -90
  Swap -24 and -90
  List after swap: [-69, -90, -24, 44, 18, 75, 82, 83]
  Compare -24 and 44
  No swap needed
  Compare 44 and 18
  Swap 44 and 18
  List after swap: [-69, -90, -24, 18, 44, 75, 82, 83]

Pass 5:
  Compare -69 and -90
  Swap -69 and -90
  List after swap: [-90, -69, -24, 18, 44, 75, 82, 83]
  Compare -69 and -24
  No swap needed
  Compare -24 and 18
  No swap needed

Pass 6:
  Compare -90 and -69
  No swap needed
  Compare -69 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -69, -24, 18, 44, 75, 82, 83]
</think>

<response>-90, -69, -24, 18, 44, 75, 82, 83</response>


input: Demonstrate how bubble sort orders the integers 84, -99, 87, -60, -95, -100, 56, 9, 0 in ascending sequence, showing all steps.

output:
<think>
Initial list: [84, -99, 87, -60, -95, -100, 56, 9, 0]

Pass 1:
  Compare 84 and -99
  Swap 84 and -99
  List after swap: [-99, 84, 87, -60, -95, -100, 56, 9, 0]
  Compare 84 and 87
  No swap needed
  Compare 87 and -60
  Swap 87 and -60
  List after swap: [-99, 84, -60, 87, -95, -100, 56, 9, 0]
  Compare 87 and -95
  Swap 87 and -95
  List after swap: [-99, 84, -60, -95, 87, -100, 56, 9, 0]
  Compare 87 and -100
  Swap 87 and -100
  List after swap: [-99, 84, -60, -95, -100, 87, 56, 9, 0]
  Compare 87 and 56
  Swap 87 and 56
  List after swap: [-99, 84, -60, -95, -100, 56, 87, 9, 0]
  Compare 87 and 9
  Swap 87 and 9
  List after swap: [-99, 84, -60, -95, -100, 56, 9, 87, 0]
  Compare 87 and 0
  Swap 87 and 0
  List after swap: [-99, 84, -60, -95, -100, 56, 9, 0, 87]

Pass 2:
  Compare -99 and 84
  No swap needed
  Compare 84 and -60
  Swap 84 and -60
  List after swap: [-99, -60, 84, -95, -100, 56, 9, 0, 87]
  Compare 84 and -95
  Swap 84 and -95
  List after swap: [-99, -60, -95, 84, -100, 56, 9, 0, 87]
  Compare 84 and -100
  Swap 84 and -100
  List after swap: [-99, -60, -95, -100, 84, 56, 9, 0, 87]
  Compare 84 and 56
  Swap 84 and 56
  List after swap: [-99, -60, -95, -100, 56, 84, 9, 0, 87]
  Compare 84 and 9
  Swap 84 and 9
  List after swap: [-99, -60, -95, -100, 56, 9, 84, 0, 87]
  Compare 84 and 0
  Swap 84 and 0
  List after swap: [-99, -60, -95, -100, 56, 9, 0, 84, 87]

Pass 3:
  Compare -99 and -60
  No swap needed
  Compare -60 and -95
  Swap -60 and -95
  List after swap: [-99, -95, -60, -100, 56, 9, 0, 84, 87]
  Compare -60 and -100
  Swap -60 and -100
  List after swap: [-99, -95, -100, -60, 56, 9, 0, 84, 87]
  Compare -60 and 56
  No swap needed
  Compare 56 and 9
  Swap 56 and 9
  List after swap: [-99, -95, -100, -60, 9, 56, 0, 84, 87]
  Compare 56 and 0
  Swap 56 and 0
  List after swap: [-99, -95, -100, -60, 9, 0, 56, 84, 87]

Pass 4:
  Compare -99 and -95
  No swap needed
  Compare -95 and -100
  Swap -95 and -100
  List after swap: [-99, -100, -95, -60, 9, 0, 56, 84, 87]
  Compare -95 and -60
  No swap needed
  Compare -60 and 9
  No swap needed
  Compare 9 and 0
  Swap 9 and 0
  List after swap: [-99, -100, -95, -60, 0, 9, 56, 84, 87]

Pass 5:
  Compare -99 and -100
  Swap -99 and -100
  List after swap: [-100, -99, -95, -60, 0, 9, 56, 84, 87]
  Compare -99 and -95
  No swap needed
  Compare -95 and -60
  No swap needed
  Compare -60 and 0
  No swap needed

Pass 6:
  Compare -100 and -99
  No swap needed
  Compare -99 and -95
  No swap needed
  Compare -95 and -60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -99, -95, -60, 0, 9, 56, 84, 87]
</think>

<response>-100, -99, -95, -60, 0, 9, 56, 84, 87</response>


input: Demonstrate how bubble sort orders the integers -75, -99, -40, 16, 66, -57 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-75, -99, -40, 16, 66, -57]

Pass 1:
  Compare -75 and -99
  Swap -75 and -99
  List after swap: [-99, -75, -40, 16, 66, -57]
  Compare -75 and -40
  No swap needed
  Compare -40 and 16
  No swap needed
  Compare 16 and 66
  No swap needed
  Compare 66 and -57
  Swap 66 and -57
  List after swap: [-99, -75, -40, 16, -57, 66]

Pass 2:
  Compare -99 and -75
  No swap needed
  Compare -75 and -40
  No swap needed
  Compare -40 and 16
  No swap needed
  Compare 16 and -57
  Swap 16 and -57
  List after swap: [-99, -75, -40, -57, 16, 66]

Pass 3:
  Compare -99 and -75
  No swap needed
  Compare -75 and -40
  No swap needed
  Compare -40 and -57
  Swap -40 and -57
  List after swap: [-99, -75, -57, -40, 16, 66]

Pass 4:
  Compare -99 and -75
  No swap needed
  Compare -75 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -75, -57, -40, 16, 66]
</think>

<response>-99, -75, -57, -40, 16, 66</response>


input: Execute bubble sort to sort 40, 24, -72, -99, -3 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [40, 24, -72, -99, -3]

Pass 1:
  Compare 40 and 24
  Swap 40 and 24
  List after swap: [24, 40, -72, -99, -3]
  Compare 40 and -72
  Swap 40 and -72
  List after swap: [24, -72, 40, -99, -3]
  Compare 40 and -99
  Swap 40 and -99
  List after swap: [24, -72, -99, 40, -3]
  Compare 40 and -3
  Swap 40 and -3
  List after swap: [24, -72, -99, -3, 40]

Pass 2:
  Compare 24 and -72
  Swap 24 and -72
  List after swap: [-72, 24, -99, -3, 40]
  Compare 24 and -99
  Swap 24 and -99
  List after swap: [-72, -99, 24, -3, 40]
  Compare 24 and -3
  Swap 24 and -3
  List after swap: [-72, -99, -3, 24, 40]

Pass 3:
  Compare -72 and -99
  Swap -72 and -99
  List after swap: [-99, -72, -3, 24, 40]
  Compare -72 and -3
  No swap needed

Pass 4:
  Compare -99 and -72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -72, -3, 24, 40]
</think>

<response>-99, -72, -3, 24, 40</response>


input: Sort the list 30, 68, 76 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [30, 68, 76]

Pass 1:
  Compare 30 and 68
  No swap needed
  Compare 68 and 76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [30, 68, 76]
</think>

<response>30, 68, 76</response>


input: Execute bubble sort to sort 64, -7, 76, -56, 69, 72 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [64, -7, 76, -56, 69, 72]

Pass 1:
  Compare 64 and -7
  Swap 64 and -7
  List after swap: [-7, 64, 76, -56, 69, 72]
  Compare 64 and 76
  No swap needed
  Compare 76 and -56
  Swap 76 and -56
  List after swap: [-7, 64, -56, 76, 69, 72]
  Compare 76 and 69
  Swap 76 and 69
  List after swap: [-7, 64, -56, 69, 76, 72]
  Compare 76 and 72
  Swap 76 and 72
  List after swap: [-7, 64, -56, 69, 72, 76]

Pass 2:
  Compare -7 and 64
  No swap needed
  Compare 64 and -56
  Swap 64 and -56
  List after swap: [-7, -56, 64, 69, 72, 76]
  Compare 64 and 69
  No swap needed
  Compare 69 and 72
  No swap needed

Pass 3:
  Compare -7 and -56
  Swap -7 and -56
  List after swap: [-56, -7, 64, 69, 72, 76]
  Compare -7 and 64
  No swap needed
  Compare 64 and 69
  No swap needed

Pass 4:
  Compare -56 and -7
  No swap needed
  Compare -7 and 64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -7, 64, 69, 72, 76]
</think>

<response>-56, -7, 64, 69, 72, 76</response>


input: Using the bubble sort method, sort -25, 91, -4, 83, 14, -80, -28 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-25, 91, -4, 83, 14, -80, -28]

Pass 1:
  Compare -25 and 91
  No swap needed
  Compare 91 and -4
  Swap 91 and -4
  List after swap: [-25, -4, 91, 83, 14, -80, -28]
  Compare 91 and 83
  Swap 91 and 83
  List after swap: [-25, -4, 83, 91, 14, -80, -28]
  Compare 91 and 14
  Swap 91 and 14
  List after swap: [-25, -4, 83, 14, 91, -80, -28]
  Compare 91 and -80
  Swap 91 and -80
  List after swap: [-25, -4, 83, 14, -80, 91, -28]
  Compare 91 and -28
  Swap 91 and -28
  List after swap: [-25, -4, 83, 14, -80, -28, 91]

Pass 2:
  Compare -25 and -4
  No swap needed
  Compare -4 and 83
  No swap needed
  Compare 83 and 14
  Swap 83 and 14
  List after swap: [-25, -4, 14, 83, -80, -28, 91]
  Compare 83 and -80
  Swap 83 and -80
  List after swap: [-25, -4, 14, -80, 83, -28, 91]
  Compare 83 and -28
  Swap 83 and -28
  List after swap: [-25, -4, 14, -80, -28, 83, 91]

Pass 3:
  Compare -25 and -4
  No swap needed
  Compare -4 and 14
  No swap needed
  Compare 14 and -80
  Swap 14 and -80
  List after swap: [-25, -4, -80, 14, -28, 83, 91]
  Compare 14 and -28
  Swap 14 and -28
  List after swap: [-25, -4, -80, -28, 14, 83, 91]

Pass 4:
  Compare -25 and -4
  No swap needed
  Compare -4 and -80
  Swap -4 and -80
  List after swap: [-25, -80, -4, -28, 14, 83, 91]
  Compare -4 and -28
  Swap -4 and -28
  List after swap: [-25, -80, -28, -4, 14, 83, 91]

Pass 5:
  Compare -25 and -80
  Swap -25 and -80
  List after swap: [-80, -25, -28, -4, 14, 83, 91]
  Compare -25 and -28
  Swap -25 and -28
  List after swap: [-80, -28, -25, -4, 14, 83, 91]

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

Final sorted list: [-80, -28, -25, -4, 14, 83, 91]
</think>

<response>-80, -28, -25, -4, 14, 83, 91</response>


input: Execute bubble sort to sort 16, 68, -99, -79, 43, 31, 70 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [16, 68, -99, -79, 43, 31, 70]

Pass 1:
  Compare 16 and 68
  No swap needed
  Compare 68 and -99
  Swap 68 and -99
  List after swap: [16, -99, 68, -79, 43, 31, 70]
  Compare 68 and -79
  Swap 68 and -79
  List after swap: [16, -99, -79, 68, 43, 31, 70]
  Compare 68 and 43
  Swap 68 and 43
  List after swap: [16, -99, -79, 43, 68, 31, 70]
  Compare 68 and 31
  Swap 68 and 31
  List after swap: [16, -99, -79, 43, 31, 68, 70]
  Compare 68 and 70
  No swap needed

Pass 2:
  Compare 16 and -99
  Swap 16 and -99
  List after swap: [-99, 16, -79, 43, 31, 68, 70]
  Compare 16 and -79
  Swap 16 and -79
  List after swap: [-99, -79, 16, 43, 31, 68, 70]
  Compare 16 and 43
  No swap needed
  Compare 43 and 31
  Swap 43 and 31
  List after swap: [-99, -79, 16, 31, 43, 68, 70]
  Compare 43 and 68
  No swap needed

Pass 3:
  Compare -99 and -79
  No swap needed
  Compare -79 and 16
  No swap needed
  Compare 16 and 31
  No swap needed
  Compare 31 and 43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -79, 16, 31, 43, 68, 70]
</think>

<response>-99, -79, 16, 31, 43, 68, 70</response>


input: Sort the list 16, -20 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [16, -20]

Pass 1:
  Compare 16 and -20
  Swap 16 and -20
  List after swap: [-20, 16]

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

Final sorted list: [-20, 16]
</think>

<response>-20, 16</response>


input: Using the bubble sort method, sort -10, 91, 29, -34 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-10, 91, 29, -34]

Pass 1:
  Compare -10 and 91
  No swap needed
  Compare 91 and 29
  Swap 91 and 29
  List after swap: [-10, 29, 91, -34]
  Compare 91 and -34
  Swap 91 and -34
  List after swap: [-10, 29, -34, 91]

Pass 2:
  Compare -10 and 29
  No swap needed
  Compare 29 and -34
  Swap 29 and -34
  List after swap: [-10, -34, 29, 91]

Pass 3:
  Compare -10 and -34
  Swap -10 and -34
  List after swap: [-34, -10, 29, 91]

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

Final sorted list: [-34, -10, 29, 91]
</think>

<response>-34, -10, 29, 91</response>


input: Sort the list 85, -24, 25, 76, 35, 39, 12, -14 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [85, -24, 25, 76, 35, 39, 12, -14]

Pass 1:
  Compare 85 and -24
  Swap 85 and -24
  List after swap: [-24, 85, 25, 76, 35, 39, 12, -14]
  Compare 85 and 25
  Swap 85 and 25
  List after swap: [-24, 25, 85, 76, 35, 39, 12, -14]
  Compare 85 and 76
  Swap 85 and 76
  List after swap: [-24, 25, 76, 85, 35, 39, 12, -14]
  Compare 85 and 35
  Swap 85 and 35
  List after swap: [-24, 25, 76, 35, 85, 39, 12, -14]
  Compare 85 and 39
  Swap 85 and 39
  List after swap: [-24, 25, 76, 35, 39, 85, 12, -14]
  Compare 85 and 12
  Swap 85 and 12
  List after swap: [-24, 25, 76, 35, 39, 12, 85, -14]
  Compare 85 and -14
  Swap 85 and -14
  List after swap: [-24, 25, 76, 35, 39, 12, -14, 85]

Pass 2:
  Compare -24 and 25
  No swap needed
  Compare 25 and 76
  No swap needed
  Compare 76 and 35
  Swap 76 and 35
  List after swap: [-24, 25, 35, 76, 39, 12, -14, 85]
  Compare 76 and 39
  Swap 76 and 39
  List after swap: [-24, 25, 35, 39, 76, 12, -14, 85]
  Compare 76 and 12
  Swap 76 and 12
  List after swap: [-24, 25, 35, 39, 12, 76, -14, 85]
  Compare 76 and -14
  Swap 76 and -14
  List after swap: [-24, 25, 35, 39, 12, -14, 76, 85]

Pass 3:
  Compare -24 and 25
  No swap needed
  Compare 25 and 35
  No swap needed
  Compare 35 and 39
  No swap needed
  Compare 39 and 12
  Swap 39 and 12
  List after swap: [-24, 25, 35, 12, 39, -14, 76, 85]
  Compare 39 and -14
  Swap 39 and -14
  List after swap: [-24, 25, 35, 12, -14, 39, 76, 85]

Pass 4:
  Compare -24 and 25
  No swap needed
  Compare 25 and 35
  No swap needed
  Compare 35 and 12
  Swap 35 and 12
  List after swap: [-24, 25, 12, 35, -14, 39, 76, 85]
  Compare 35 and -14
  Swap 35 and -14
  List after swap: [-24, 25, 12, -14, 35, 39, 76, 85]

Pass 5:
  Compare -24 and 25
  No swap needed
  Compare 25 and 12
  Swap 25 and 12
  List after swap: [-24, 12, 25, -14, 35, 39, 76, 85]
  Compare 25 and -14
  Swap 25 and -14
  List after swap: [-24, 12, -14, 25, 35, 39, 76, 85]

Pass 6:
  Compare -24 and 12
  No swap needed
  Compare 12 and -14
  Swap 12 and -14
  List after swap: [-24, -14, 12, 25, 35, 39, 76, 85]

Pass 7:
  Compare -24 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-24, -14, 12, 25, 35, 39, 76, 85]
</think>

<response>-24, -14, 12, 25, 35, 39, 76, 85</response>


input: Execute bubble sort to sort 43, 16, -33, 60, 35 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [43, 16, -33, 60, 35]

Pass 1:
  Compare 43 and 16
  Swap 43 and 16
  List after swap: [16, 43, -33, 60, 35]
  Compare 43 and -33
  Swap 43 and -33
  List after swap: [16, -33, 43, 60, 35]
  Compare 43 and 60
  No swap needed
  Compare 60 and 35
  Swap 60 and 35
  List after swap: [16, -33, 43, 35, 60]

Pass 2:
  Compare 16 and -33
  Swap 16 and -33
  List after swap: [-33, 16, 43, 35, 60]
  Compare 16 and 43
  No swap needed
  Compare 43 and 35
  Swap 43 and 35
  List after swap: [-33, 16, 35, 43, 60]

Pass 3:
  Compare -33 and 16
  No swap needed
  Compare 16 and 35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-33, 16, 35, 43, 60]
</think>

<response>-33, 16, 35, 43, 60</response>


input: Carry out the bubble sort algorithm on 57, 37, 98, -70, 8 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [57, 37, 98, -70, 8]

Pass 1:
  Compare 57 and 37
  Swap 57 and 37
  List after swap: [37, 57, 98, -70, 8]
  Compare 57 and 98
  No swap needed
  Compare 98 and -70
  Swap 98 and -70
  List after swap: [37, 57, -70, 98, 8]
  Compare 98 and 8
  Swap 98 and 8
  List after swap: [37, 57, -70, 8, 98]

Pass 2:
  Compare 37 and 57
  No swap needed
  Compare 57 and -70
  Swap 57 and -70
  List after swap: [37, -70, 57, 8, 98]
  Compare 57 and 8
  Swap 57 and 8
  List after swap: [37, -70, 8, 57, 98]

Pass 3:
  Compare 37 and -70
  Swap 37 and -70
  List after swap: [-70, 37, 8, 57, 98]
  Compare 37 and 8
  Swap 37 and 8
  List after swap: [-70, 8, 37, 57, 98]

Pass 4:
  Compare -70 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, 8, 37, 57, 98]
</think>

<response>-70, 8, 37, 57, 98</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -41, -98, -39, -52, -5, -26, -95, -60, 6.

output:
<think>
Initial list: [-41, -98, -39, -52, -5, -26, -95, -60, 6]

Pass 1:
  Compare -41 and -98
  Swap -41 and -98
  List after swap: [-98, -41, -39, -52, -5, -26, -95, -60, 6]
  Compare -41 and -39
  No swap needed
  Compare -39 and -52
  Swap -39 and -52
  List after swap: [-98, -41, -52, -39, -5, -26, -95, -60, 6]
  Compare -39 and -5
  No swap needed
  Compare -5 and -26
  Swap -5 and -26
  List after swap: [-98, -41, -52, -39, -26, -5, -95, -60, 6]
  Compare -5 and -95
  Swap -5 and -95
  List after swap: [-98, -41, -52, -39, -26, -95, -5, -60, 6]
  Compare -5 and -60
  Swap -5 and -60
  List after swap: [-98, -41, -52, -39, -26, -95, -60, -5, 6]
  Compare -5 and 6
  No swap needed

Pass 2:
  Compare -98 and -41
  No swap needed
  Compare -41 and -52
  Swap -41 and -52
  List after swap: [-98, -52, -41, -39, -26, -95, -60, -5, 6]
  Compare -41 and -39
  No swap needed
  Compare -39 and -26
  No swap needed
  Compare -26 and -95
  Swap -26 and -95
  List after swap: [-98, -52, -41, -39, -95, -26, -60, -5, 6]
  Compare -26 and -60
  Swap -26 and -60
  List after swap: [-98, -52, -41, -39, -95, -60, -26, -5, 6]
  Compare -26 and -5
  No swap needed

Pass 3:
  Compare -98 and -52
  No swap needed
  Compare -52 and -41
  No swap needed
  Compare -41 and -39
  No swap needed
  Compare -39 and -95
  Swap -39 and -95
  List after swap: [-98, -52, -41, -95, -39, -60, -26, -5, 6]
  Compare -39 and -60
  Swap -39 and -60
  List after swap: [-98, -52, -41, -95, -60, -39, -26, -5, 6]
  Compare -39 and -26
  No swap needed

Pass 4:
  Compare -98 and -52
  No swap needed
  Compare -52 and -41
  No swap needed
  Compare -41 and -95
  Swap -41 and -95
  List after swap: [-98, -52, -95, -41, -60, -39, -26, -5, 6]
  Compare -41 and -60
  Swap -41 and -60
  List after swap: [-98, -52, -95, -60, -41, -39, -26, -5, 6]
  Compare -41 and -39
  No swap needed

Pass 5:
  Compare -98 and -52
  No swap needed
  Compare -52 and -95
  Swap -52 and -95
  List after swap: [-98, -95, -52, -60, -41, -39, -26, -5, 6]
  Compare -52 and -60
  Swap -52 and -60
  List after swap: [-98, -95, -60, -52, -41, -39, -26, -5, 6]
  Compare -52 and -41
  No swap needed

Pass 6:
  Compare -98 and -95
  No swap needed
  Compare -95 and -60
  No swap needed
  Compare -60 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -95, -60, -52, -41, -39, -26, -5, 6]
</think>

<response>-98, -95, -60, -52, -41, -39, -26, -5, 6</response>


input: Sort these integers 54, 34, 83, -41 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [54, 34, 83, -41]

Pass 1:
  Compare 54 and 34
  Swap 54 and 34
  List after swap: [34, 54, 83, -41]
  Compare 54 and 83
  No swap needed
  Compare 83 and -41
  Swap 83 and -41
  List after swap: [34, 54, -41, 83]

Pass 2:
  Compare 34 and 54
  No swap needed
  Compare 54 and -41
  Swap 54 and -41
  List after swap: [34, -41, 54, 83]

Pass 3:
  Compare 34 and -41
  Swap 34 and -41
  List after swap: [-41, 34, 54, 83]

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

Final sorted list: [-41, 34, 54, 83]
</think>

<response>-41, 34, 54, 83</response>


input: Perform a bubble sort on the integers 65, 60, -75, -39, -86, -49, 72, 45, -13, -73, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [65, 60, -75, -39, -86, -49, 72, 45, -13, -73]

Pass 1:
  Compare 65 and 60
  Swap 65 and 60
  List after swap: [60, 65, -75, -39, -86, -49, 72, 45, -13, -73]
  Compare 65 and -75
  Swap 65 and -75
  List after swap: [60, -75, 65, -39, -86, -49, 72, 45, -13, -73]
  Compare 65 and -39
  Swap 65 and -39
  List after swap: [60, -75, -39, 65, -86, -49, 72, 45, -13, -73]
  Compare 65 and -86
  Swap 65 and -86
  List after swap: [60, -75, -39, -86, 65, -49, 72, 45, -13, -73]
  Compare 65 and -49
  Swap 65 and -49
  List after swap: [60, -75, -39, -86, -49, 65, 72, 45, -13, -73]
  Compare 65 and 72
  No swap needed
  Compare 72 and 45
  Swap 72 and 45
  List after swap: [60, -75, -39, -86, -49, 65, 45, 72, -13, -73]
  Compare 72 and -13
  Swap 72 and -13
  List after swap: [60, -75, -39, -86, -49, 65, 45, -13, 72, -73]
  Compare 72 and -73
  Swap 72 and -73
  List after swap: [60, -75, -39, -86, -49, 65, 45, -13, -73, 72]

Pass 2:
  Compare 60 and -75
  Swap 60 and -75
  List after swap: [-75, 60, -39, -86, -49, 65, 45, -13, -73, 72]
  Compare 60 and -39
  Swap 60 and -39
  List after swap: [-75, -39, 60, -86, -49, 65, 45, -13, -73, 72]
  Compare 60 and -86
  Swap 60 and -86
  List after swap: [-75, -39, -86, 60, -49, 65, 45, -13, -73, 72]
  Compare 60 and -49
  Swap 60 and -49
  List after swap: [-75, -39, -86, -49, 60, 65, 45, -13, -73, 72]
  Compare 60 and 65
  No swap needed
  Compare 65 and 45
  Swap 65 and 45
  List after swap: [-75, -39, -86, -49, 60, 45, 65, -13, -73, 72]
  Compare 65 and -13
  Swap 65 and -13
  List after swap: [-75, -39, -86, -49, 60, 45, -13, 65, -73, 72]
  Compare 65 and -73
  Swap 65 and -73
  List after swap: [-75, -39, -86, -49, 60, 45, -13, -73, 65, 72]

Pass 3:
  Compare -75 and -39
  No swap needed
  Compare -39 and -86
  Swap -39 and -86
  List after swap: [-75, -86, -39, -49, 60, 45, -13, -73, 65, 72]
  Compare -39 and -49
  Swap -39 and -49
  List after swap: [-75, -86, -49, -39, 60, 45, -13, -73, 65, 72]
  Compare -39 and 60
  No swap needed
  Compare 60 and 45
  Swap 60 and 45
  List after swap: [-75, -86, -49, -39, 45, 60, -13, -73, 65, 72]
  Compare 60 and -13
  Swap 60 and -13
  List after swap: [-75, -86, -49, -39, 45, -13, 60, -73, 65, 72]
  Compare 60 and -73
  Swap 60 and -73
  List after swap: [-75, -86, -49, -39, 45, -13, -73, 60, 65, 72]

Pass 4:
  Compare -75 and -86
  Swap -75 and -86
  List after swap: [-86, -75, -49, -39, 45, -13, -73, 60, 65, 72]
  Compare -75 and -49
  No swap needed
  Compare -49 and -39
  No swap needed
  Compare -39 and 45
  No swap needed
  Compare 45 and -13
  Swap 45 and -13
  List after swap: [-86, -75, -49, -39, -13, 45, -73, 60, 65, 72]
  Compare 45 and -73
  Swap 45 and -73
  List after swap: [-86, -75, -49, -39, -13, -73, 45, 60, 65, 72]

Pass 5:
  Compare -86 and -75
  No swap needed
  Compare -75 and -49
  No swap needed
  Compare -49 and -39
  No swap needed
  Compare -39 and -13
  No swap needed
  Compare -13 and -73
  Swap -13 and -73
  List after swap: [-86, -75, -49, -39, -73, -13, 45, 60, 65, 72]

Pass 6:
  Compare -86 and -75
  No swap needed
  Compare -75 and -49
  No swap needed
  Compare -49 and -39
  No swap needed
  Compare -39 and -73
  Swap -39 and -73
  List after swap: [-86, -75, -49, -73, -39, -13, 45, 60, 65, 72]

Pass 7:
  Compare -86 and -75
  No swap needed
  Compare -75 and -49
  No swap needed
  Compare -49 and -73
  Swap -49 and -73
  List after swap: [-86, -75, -73, -49, -39, -13, 45, 60, 65, 72]

Pass 8:
  Compare -86 and -75
  No swap needed
  Compare -75 and -73
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -75, -73, -49, -39, -13, 45, 60, 65, 72]
</think>

<response>-86, -75, -73, -49, -39, -13, 45, 60, 65, 72</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -43, -60, 16, 24, -58, 85, 26, 96, 23, -68.

output:
<think>
Initial list: [-43, -60, 16, 24, -58, 85, 26, 96, 23, -68]

Pass 1:
  Compare -43 and -60
  Swap -43 and -60
  List after swap: [-60, -43, 16, 24, -58, 85, 26, 96, 23, -68]
  Compare -43 and 16
  No swap needed
  Compare 16 and 24
  No swap needed
  Compare 24 and -58
  Swap 24 and -58
  List after swap: [-60, -43, 16, -58, 24, 85, 26, 96, 23, -68]
  Compare 24 and 85
  No swap needed
  Compare 85 and 26
  Swap 85 and 26
  List after swap: [-60, -43, 16, -58, 24, 26, 85, 96, 23, -68]
  Compare 85 and 96
  No swap needed
  Compare 96 and 23
  Swap 96 and 23
  List after swap: [-60, -43, 16, -58, 24, 26, 85, 23, 96, -68]
  Compare 96 and -68
  Swap 96 and -68
  List after swap: [-60, -43, 16, -58, 24, 26, 85, 23, -68, 96]

Pass 2:
  Compare -60 and -43
  No swap needed
  Compare -43 and 16
  No swap needed
  Compare 16 and -58
  Swap 16 and -58
  List after swap: [-60, -43, -58, 16, 24, 26, 85, 23, -68, 96]
  Compare 16 and 24
  No swap needed
  Compare 24 and 26
  No swap needed
  Compare 26 and 85
  No swap needed
  Compare 85 and 23
  Swap 85 and 23
  List after swap: [-60, -43, -58, 16, 24, 26, 23, 85, -68, 96]
  Compare 85 and -68
  Swap 85 and -68
  List after swap: [-60, -43, -58, 16, 24, 26, 23, -68, 85, 96]

Pass 3:
  Compare -60 and -43
  No swap needed
  Compare -43 and -58
  Swap -43 and -58
  List after swap: [-60, -58, -43, 16, 24, 26, 23, -68, 85, 96]
  Compare -43 and 16
  No swap needed
  Compare 16 and 24
  No swap needed
  Compare 24 and 26
  No swap needed
  Compare 26 and 23
  Swap 26 and 23
  List after swap: [-60, -58, -43, 16, 24, 23, 26, -68, 85, 96]
  Compare 26 and -68
  Swap 26 and -68
  List after swap: [-60, -58, -43, 16, 24, 23, -68, 26, 85, 96]

Pass 4:
  Compare -60 and -58
  No swap needed
  Compare -58 and -43
  No swap needed
  Compare -43 and 16
  No swap needed
  Compare 16 and 24
  No swap needed
  Compare 24 and 23
  Swap 24 and 23
  List after swap: [-60, -58, -43, 16, 23, 24, -68, 26, 85, 96]
  Compare 24 and -68
  Swap 24 and -68
  List after swap: [-60, -58, -43, 16, 23, -68, 24, 26, 85, 96]

Pass 5:
  Compare -60 and -58
  No swap needed
  Compare -58 and -43
  No swap needed
  Compare -43 and 16
  No swap needed
  Compare 16 and 23
  No swap needed
  Compare 23 and -68
  Swap 23 and -68
  List after swap: [-60, -58, -43, 16, -68, 23, 24, 26, 85, 96]

Pass 6:
  Compare -60 and -58
  No swap needed
  Compare -58 and -43
  No swap needed
  Compare -43 and 16
  No swap needed
  Compare 16 and -68
  Swap 16 and -68
  List after swap: [-60, -58, -43, -68, 16, 23, 24, 26, 85, 96]

Pass 7:
  Compare -60 and -58
  No swap needed
  Compare -58 and -43
  No swap needed
  Compare -43 and -68
  Swap -43 and -68
  List after swap: [-60, -58, -68, -43, 16, 23, 24, 26, 85, 96]

Pass 8:
  Compare -60 and -58
  No swap needed
  Compare -58 and -68
  Swap -58 and -68
  List after swap: [-60, -68, -58, -43, 16, 23, 24, 26, 85, 96]

Pass 9:
  Compare -60 and -68
  Swap -60 and -68
  List after swap: [-68, -60, -58, -43, 16, 23, 24, 26, 85, 96]

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

Final sorted list: [-68, -60, -58, -43, 16, 23, 24, 26, 85, 96]
</think>

<response>-68, -60, -58, -43, 16, 23, 24, 26, 85, 96</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 13, -83, -15, -48, 35, -94, 60, 29, 54, -34.

output:
<think>
Initial list: [13, -83, -15, -48, 35, -94, 60, 29, 54, -34]

Pass 1:
  Compare 13 and -83
  Swap 13 and -83
  List after swap: [-83, 13, -15, -48, 35, -94, 60, 29, 54, -34]
  Compare 13 and -15
  Swap 13 and -15
  List after swap: [-83, -15, 13, -48, 35, -94, 60, 29, 54, -34]
  Compare 13 and -48
  Swap 13 and -48
  List after swap: [-83, -15, -48, 13, 35, -94, 60, 29, 54, -34]
  Compare 13 and 35
  No swap needed
  Compare 35 and -94
  Swap 35 and -94
  List after swap: [-83, -15, -48, 13, -94, 35, 60, 29, 54, -34]
  Compare 35 and 60
  No swap needed
  Compare 60 and 29
  Swap 60 and 29
  List after swap: [-83, -15, -48, 13, -94, 35, 29, 60, 54, -34]
  Compare 60 and 54
  Swap 60 and 54
  List after swap: [-83, -15, -48, 13, -94, 35, 29, 54, 60, -34]
  Compare 60 and -34
  Swap 60 and -34
  List after swap: [-83, -15, -48, 13, -94, 35, 29, 54, -34, 60]

Pass 2:
  Compare -83 and -15
  No swap needed
  Compare -15 and -48
  Swap -15 and -48
  List after swap: [-83, -48, -15, 13, -94, 35, 29, 54, -34, 60]
  Compare -15 and 13
  No swap needed
  Compare 13 and -94
  Swap 13 and -94
  List after swap: [-83, -48, -15, -94, 13, 35, 29, 54, -34, 60]
  Compare 13 and 35
  No swap needed
  Compare 35 and 29
  Swap 35 and 29
  List after swap: [-83, -48, -15, -94, 13, 29, 35, 54, -34, 60]
  Compare 35 and 54
  No swap needed
  Compare 54 and -34
  Swap 54 and -34
  List after swap: [-83, -48, -15, -94, 13, 29, 35, -34, 54, 60]

Pass 3:
  Compare -83 and -48
  No swap needed
  Compare -48 and -15
  No swap needed
  Compare -15 and -94
  Swap -15 and -94
  List after swap: [-83, -48, -94, -15, 13, 29, 35, -34, 54, 60]
  Compare -15 and 13
  No swap needed
  Compare 13 and 29
  No swap needed
  Compare 29 and 35
  No swap needed
  Compare 35 and -34
  Swap 35 and -34
  List after swap: [-83, -48, -94, -15, 13, 29, -34, 35, 54, 60]

Pass 4:
  Compare -83 and -48
  No swap needed
  Compare -48 and -94
  Swap -48 and -94
  List after swap: [-83, -94, -48, -15, 13, 29, -34, 35, 54, 60]
  Compare -48 and -15
  No swap needed
  Compare -15 and 13
  No swap needed
  Compare 13 and 29
  No swap needed
  Compare 29 and -34
  Swap 29 and -34
  List after swap: [-83, -94, -48, -15, 13, -34, 29, 35, 54, 60]

Pass 5:
  Compare -83 and -94
  Swap -83 and -94
  List after swap: [-94, -83, -48, -15, 13, -34, 29, 35, 54, 60]
  Compare -83 and -48
  No swap needed
  Compare -48 and -15
  No swap needed
  Compare -15 and 13
  No swap needed
  Compare 13 and -34
  Swap 13 and -34
  List after swap: [-94, -83, -48, -15, -34, 13, 29, 35, 54, 60]

Pass 6:
  Compare -94 and -83
  No swap needed
  Compare -83 and -48
  No swap needed
  Compare -48 and -15
  No swap needed
  Compare -15 and -34
  Swap -15 and -34
  List after swap: [-94, -83, -48, -34, -15, 13, 29, 35, 54, 60]

Pass 7:
  Compare -94 and -83
  No swap needed
  Compare -83 and -48
  No swap needed
  Compare -48 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -83, -48, -34, -15, 13, 29, 35, 54, 60]
</think>

<response>-94, -83, -48, -34, -15, 13, 29, 35, 54, 60</response>


input: Sort these integers -37, 88 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-37, 88]

Pass 1:
  Compare -37 and 88
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-37, 88]
</think>

<response>-37, 88</response>


input: Sort these integers -38, -28, -64, -89, 7, -40, -82, 76 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-38, -28, -64, -89, 7, -40, -82, 76]

Pass 1:
  Compare -38 and -28
  No swap needed
  Compare -28 and -64
  Swap -28 and -64
  List after swap: [-38, -64, -28, -89, 7, -40, -82, 76]
  Compare -28 and -89
  Swap -28 and -89
  List after swap: [-38, -64, -89, -28, 7, -40, -82, 76]
  Compare -28 and 7
  No swap needed
  Compare 7 and -40
  Swap 7 and -40
  List after swap: [-38, -64, -89, -28, -40, 7, -82, 76]
  Compare 7 and -82
  Swap 7 and -82
  List after swap: [-38, -64, -89, -28, -40, -82, 7, 76]
  Compare 7 and 76
  No swap needed

Pass 2:
  Compare -38 and -64
  Swap -38 and -64
  List after swap: [-64, -38, -89, -28, -40, -82, 7, 76]
  Compare -38 and -89
  Swap -38 and -89
  List after swap: [-64, -89, -38, -28, -40, -82, 7, 76]
  Compare -38 and -28
  No swap needed
  Compare -28 and -40
  Swap -28 and -40
  List after swap: [-64, -89, -38, -40, -28, -82, 7, 76]
  Compare -28 and -82
  Swap -28 and -82
  List after swap: [-64, -89, -38, -40, -82, -28, 7, 76]
  Compare -28 and 7
  No swap needed

Pass 3:
  Compare -64 and -89
  Swap -64 and -89
  List after swap: [-89, -64, -38, -40, -82, -28, 7, 76]
  Compare -64 and -38
  No swap needed
  Compare -38 and -40
  Swap -38 and -40
  List after swap: [-89, -64, -40, -38, -82, -28, 7, 76]
  Compare -38 and -82
  Swap -38 and -82
  List after swap: [-89, -64, -40, -82, -38, -28, 7, 76]
  Compare -38 and -28
  No swap needed

Pass 4:
  Compare -89 and -64
  No swap needed
  Compare -64 and -40
  No swap needed
  Compare -40 and -82
  Swap -40 and -82
  List after swap: [-89, -64, -82, -40, -38, -28, 7, 76]
  Compare -40 and -38
  No swap needed

Pass 5:
  Compare -89 and -64
  No swap needed
  Compare -64 and -82
  Swap -64 and -82
  List after swap: [-89, -82, -64, -40, -38, -28, 7, 76]
  Compare -64 and -40
  No swap needed

Pass 6:
  Compare -89 and -82
  No swap needed
  Compare -82 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -82, -64, -40, -38, -28, 7, 76]
</think>

<response>-89, -82, -64, -40, -38, -28, 7, 76</response>


input: Use the bubble sort technique to reorder -37, 66, 64, 58 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-37, 66, 64, 58]

Pass 1:
  Compare -37 and 66
  No swap needed
  Compare 66 and 64
  Swap 66 and 64
  List after swap: [-37, 64, 66, 58]
  Compare 66 and 58
  Swap 66 and 58
  List after swap: [-37, 64, 58, 66]

Pass 2:
  Compare -37 and 64
  No swap needed
  Compare 64 and 58
  Swap 64 and 58
  List after swap: [-37, 58, 64, 66]

Pass 3:
  Compare -37 and 58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-37, 58, 64, 66]
</think>

<response>-37, 58, 64, 66</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -57, 62, 39, -76, 54, -28, -73, -58.

output:
<think>
Initial list: [-57, 62, 39, -76, 54, -28, -73, -58]

Pass 1:
  Compare -57 and 62
  No swap needed
  Compare 62 and 39
  Swap 62 and 39
  List after swap: [-57, 39, 62, -76, 54, -28, -73, -58]
  Compare 62 and -76
  Swap 62 and -76
  List after swap: [-57, 39, -76, 62, 54, -28, -73, -58]
  Compare 62 and 54
  Swap 62 and 54
  List after swap: [-57, 39, -76, 54, 62, -28, -73, -58]
  Compare 62 and -28
  Swap 62 and -28
  List after swap: [-57, 39, -76, 54, -28, 62, -73, -58]
  Compare 62 and -73
  Swap 62 and -73
  List after swap: [-57, 39, -76, 54, -28, -73, 62, -58]
  Compare 62 and -58
  Swap 62 and -58
  List after swap: [-57, 39, -76, 54, -28, -73, -58, 62]

Pass 2:
  Compare -57 and 39
  No swap needed
  Compare 39 and -76
  Swap 39 and -76
  List after swap: [-57, -76, 39, 54, -28, -73, -58, 62]
  Compare 39 and 54
  No swap needed
  Compare 54 and -28
  Swap 54 and -28
  List after swap: [-57, -76, 39, -28, 54, -73, -58, 62]
  Compare 54 and -73
  Swap 54 and -73
  List after swap: [-57, -76, 39, -28, -73, 54, -58, 62]
  Compare 54 and -58
  Swap 54 and -58
  List after swap: [-57, -76, 39, -28, -73, -58, 54, 62]

Pass 3:
  Compare -57 and -76
  Swap -57 and -76
  List after swap: [-76, -57, 39, -28, -73, -58, 54, 62]
  Compare -57 and 39
  No swap needed
  Compare 39 and -28
  Swap 39 and -28
  List after swap: [-76, -57, -28, 39, -73, -58, 54, 62]
  Compare 39 and -73
  Swap 39 and -73
  List after swap: [-76, -57, -28, -73, 39, -58, 54, 62]
  Compare 39 and -58
  Swap 39 and -58
  List after swap: [-76, -57, -28, -73, -58, 39, 54, 62]

Pass 4:
  Compare -76 and -57
  No swap needed
  Compare -57 and -28
  No swap needed
  Compare -28 and -73
  Swap -28 and -73
  List after swap: [-76, -57, -73, -28, -58, 39, 54, 62]
  Compare -28 and -58
  Swap -28 and -58
  List after swap: [-76, -57, -73, -58, -28, 39, 54, 62]

Pass 5:
  Compare -76 and -57
  No swap needed
  Compare -57 and -73
  Swap -57 and -73
  List after swap: [-76, -73, -57, -58, -28, 39, 54, 62]
  Compare -57 and -58
  Swap -57 and -58
  List after swap: [-76, -73, -58, -57, -28, 39, 54, 62]

Pass 6:
  Compare -76 and -73
  No swap needed
  Compare -73 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -73, -58, -57, -28, 39, 54, 62]
</think>

<response>-76, -73, -58, -57, -28, 39, 54, 62</response>


input: Arrange the numbers -49, 1, 25, -6, 99, 72, 26, -14, -9 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-49, 1, 25, -6, 99, 72, 26, -14, -9]

Pass 1:
  Compare -49 and 1
  No swap needed
  Compare 1 and 25
  No swap needed
  Compare 25 and -6
  Swap 25 and -6
  List after swap: [-49, 1, -6, 25, 99, 72, 26, -14, -9]
  Compare 25 and 99
  No swap needed
  Compare 99 and 72
  Swap 99 and 72
  List after swap: [-49, 1, -6, 25, 72, 99, 26, -14, -9]
  Compare 99 and 26
  Swap 99 and 26
  List after swap: [-49, 1, -6, 25, 72, 26, 99, -14, -9]
  Compare 99 and -14
  Swap 99 and -14
  List after swap: [-49, 1, -6, 25, 72, 26, -14, 99, -9]
  Compare 99 and -9
  Swap 99 and -9
  List after swap: [-49, 1, -6, 25, 72, 26, -14, -9, 99]

Pass 2:
  Compare -49 and 1
  No swap needed
  Compare 1 and -6
  Swap 1 and -6
  List after swap: [-49, -6, 1, 25, 72, 26, -14, -9, 99]
  Compare 1 and 25
  No swap needed
  Compare 25 and 72
  No swap needed
  Compare 72 and 26
  Swap 72 and 26
  List after swap: [-49, -6, 1, 25, 26, 72, -14, -9, 99]
  Compare 72 and -14
  Swap 72 and -14
  List after swap: [-49, -6, 1, 25, 26, -14, 72, -9, 99]
  Compare 72 and -9
  Swap 72 and -9
  List after swap: [-49, -6, 1, 25, 26, -14, -9, 72, 99]

Pass 3:
  Compare -49 and -6
  No swap needed
  Compare -6 and 1
  No swap needed
  Compare 1 and 25
  No swap needed
  Compare 25 and 26
  No swap needed
  Compare 26 and -14
  Swap 26 and -14
  List after swap: [-49, -6, 1, 25, -14, 26, -9, 72, 99]
  Compare 26 and -9
  Swap 26 and -9
  List after swap: [-49, -6, 1, 25, -14, -9, 26, 72, 99]

Pass 4:
  Compare -49 and -6
  No swap needed
  Compare -6 and 1
  No swap needed
  Compare 1 and 25
  No swap needed
  Compare 25 and -14
  Swap 25 and -14
  List after swap: [-49, -6, 1, -14, 25, -9, 26, 72, 99]
  Compare 25 and -9
  Swap 25 and -9
  List after swap: [-49, -6, 1, -14, -9, 25, 26, 72, 99]

Pass 5:
  Compare -49 and -6
  No swap needed
  Compare -6 and 1
  No swap needed
  Compare 1 and -14
  Swap 1 and -14
  List after swap: [-49, -6, -14, 1, -9, 25, 26, 72, 99]
  Compare 1 and -9
  Swap 1 and -9
  List after swap: [-49, -6, -14, -9, 1, 25, 26, 72, 99]

Pass 6:
  Compare -49 and -6
  No swap needed
  Compare -6 and -14
  Swap -6 and -14
  List after swap: [-49, -14, -6, -9, 1, 25, 26, 72, 99]
  Compare -6 and -9
  Swap -6 and -9
  List after swap: [-49, -14, -9, -6, 1, 25, 26, 72, 99]

Pass 7:
  Compare -49 and -14
  No swap needed
  Compare -14 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-49, -14, -9, -6, 1, 25, 26, 72, 99]
</think>

<response>-49, -14, -9, -6, 1, 25, 26, 72, 99</response>


input: Using the bubble sort method, sort 93, 2, -4 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [93, 2, -4]

Pass 1:
  Compare 93 and 2
  Swap 93 and 2
  List after swap: [2, 93, -4]
  Compare 93 and -4
  Swap 93 and -4
  List after swap: [2, -4, 93]

Pass 2:
  Compare 2 and -4
  Swap 2 and -4
  List after swap: [-4, 2, 93]

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

Final sorted list: [-4, 2, 93]
</think>

<response>-4, 2, 93</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -85, 55, 50, -34.

output:
<think>
Initial list: [-85, 55, 50, -34]

Pass 1:
  Compare -85 and 55
  No swap needed
  Compare 55 and 50
  Swap 55 and 50
  List after swap: [-85, 50, 55, -34]
  Compare 55 and -34
  Swap 55 and -34
  List after swap: [-85, 50, -34, 55]

Pass 2:
  Compare -85 and 50
  No swap needed
  Compare 50 and -34
  Swap 50 and -34
  List after swap: [-85, -34, 50, 55]

Pass 3:
  Compare -85 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -34, 50, 55]
</think>

<response>-85, -34, 50, 55</response>


input: Use the bubble sort technique to reorder -76, 62, -77, -86, 67, 82, 44 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-76, 62, -77, -86, 67, 82, 44]

Pass 1:
  Compare -76 and 62
  No swap needed
  Compare 62 and -77
  Swap 62 and -77
  List after swap: [-76, -77, 62, -86, 67, 82, 44]
  Compare 62 and -86
  Swap 62 and -86
  List after swap: [-76, -77, -86, 62, 67, 82, 44]
  Compare 62 and 67
  No swap needed
  Compare 67 and 82
  No swap needed
  Compare 82 and 44
  Swap 82 and 44
  List after swap: [-76, -77, -86, 62, 67, 44, 82]

Pass 2:
  Compare -76 and -77
  Swap -76 and -77
  List after swap: [-77, -76, -86, 62, 67, 44, 82]
  Compare -76 and -86
  Swap -76 and -86
  List after swap: [-77, -86, -76, 62, 67, 44, 82]
  Compare -76 and 62
  No swap needed
  Compare 62 and 67
  No swap needed
  Compare 67 and 44
  Swap 67 and 44
  List after swap: [-77, -86, -76, 62, 44, 67, 82]

Pass 3:
  Compare -77 and -86
  Swap -77 and -86
  List after swap: [-86, -77, -76, 62, 44, 67, 82]
  Compare -77 and -76
  No swap needed
  Compare -76 and 62
  No swap needed
  Compare 62 and 44
  Swap 62 and 44
  List after swap: [-86, -77, -76, 44, 62, 67, 82]

Pass 4:
  Compare -86 and -77
  No swap needed
  Compare -77 and -76
  No swap needed
  Compare -76 and 44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -77, -76, 44, 62, 67, 82]
</think>

<response>-86, -77, -76, 44, 62, 67, 82</response>


input: Implement bubble sort on 82, -27, 29, -76, -77, 47, -37, -65, -96 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [82, -27, 29, -76, -77, 47, -37, -65, -96]

Pass 1:
  Compare 82 and -27
  Swap 82 and -27
  List after swap: [-27, 82, 29, -76, -77, 47, -37, -65, -96]
  Compare 82 and 29
  Swap 82 and 29
  List after swap: [-27, 29, 82, -76, -77, 47, -37, -65, -96]
  Compare 82 and -76
  Swap 82 and -76
  List after swap: [-27, 29, -76, 82, -77, 47, -37, -65, -96]
  Compare 82 and -77
  Swap 82 and -77
  List after swap: [-27, 29, -76, -77, 82, 47, -37, -65, -96]
  Compare 82 and 47
  Swap 82 and 47
  List after swap: [-27, 29, -76, -77, 47, 82, -37, -65, -96]
  Compare 82 and -37
  Swap 82 and -37
  List after swap: [-27, 29, -76, -77, 47, -37, 82, -65, -96]
  Compare 82 and -65
  Swap 82 and -65
  List after swap: [-27, 29, -76, -77, 47, -37, -65, 82, -96]
  Compare 82 and -96
  Swap 82 and -96
  List after swap: [-27, 29, -76, -77, 47, -37, -65, -96, 82]

Pass 2:
  Compare -27 and 29
  No swap needed
  Compare 29 and -76
  Swap 29 and -76
  List after swap: [-27, -76, 29, -77, 47, -37, -65, -96, 82]
  Compare 29 and -77
  Swap 29 and -77
  List after swap: [-27, -76, -77, 29, 47, -37, -65, -96, 82]
  Compare 29 and 47
  No swap needed
  Compare 47 and -37
  Swap 47 and -37
  List after swap: [-27, -76, -77, 29, -37, 47, -65, -96, 82]
  Compare 47 and -65
  Swap 47 and -65
  List after swap: [-27, -76, -77, 29, -37, -65, 47, -96, 82]
  Compare 47 and -96
  Swap 47 and -96
  List after swap: [-27, -76, -77, 29, -37, -65, -96, 47, 82]

Pass 3:
  Compare -27 and -76
  Swap -27 and -76
  List after swap: [-76, -27, -77, 29, -37, -65, -96, 47, 82]
  Compare -27 and -77
  Swap -27 and -77
  List after swap: [-76, -77, -27, 29, -37, -65, -96, 47, 82]
  Compare -27 and 29
  No swap needed
  Compare 29 and -37
  Swap 29 and -37
  List after swap: [-76, -77, -27, -37, 29, -65, -96, 47, 82]
  Compare 29 and -65
  Swap 29 and -65
  List after swap: [-76, -77, -27, -37, -65, 29, -96, 47, 82]
  Compare 29 and -96
  Swap 29 and -96
  List after swap: [-76, -77, -27, -37, -65, -96, 29, 47, 82]

Pass 4:
  Compare -76 and -77
  Swap -76 and -77
  List after swap: [-77, -76, -27, -37, -65, -96, 29, 47, 82]
  Compare -76 and -27
  No swap needed
  Compare -27 and -37
  Swap -27 and -37
  List after swap: [-77, -76, -37, -27, -65, -96, 29, 47, 82]
  Compare -27 and -65
  Swap -27 and -65
  List after swap: [-77, -76, -37, -65, -27, -96, 29, 47, 82]
  Compare -27 and -96
  Swap -27 and -96
  List after swap: [-77, -76, -37, -65, -96, -27, 29, 47, 82]

Pass 5:
  Compare -77 and -76
  No swap needed
  Compare -76 and -37
  No swap needed
  Compare -37 and -65
  Swap -37 and -65
  List after swap: [-77, -76, -65, -37, -96, -27, 29, 47, 82]
  Compare -37 and -96
  Swap -37 and -96
  List after swap: [-77, -76, -65, -96, -37, -27, 29, 47, 82]

Pass 6:
  Compare -77 and -76
  No swap needed
  Compare -76 and -65
  No swap needed
  Compare -65 and -96
  Swap -65 and -96
  List after swap: [-77, -76, -96, -65, -37, -27, 29, 47, 82]

Pass 7:
  Compare -77 and -76
  No swap needed
  Compare -76 and -96
  Swap -76 and -96
  List after swap: [-77, -96, -76, -65, -37, -27, 29, 47, 82]

Pass 8:
  Compare -77 and -96
  Swap -77 and -96
  List after swap: [-96, -77, -76, -65, -37, -27, 29, 47, 82]

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

Final sorted list: [-96, -77, -76, -65, -37, -27, 29, 47, 82]
</think>

<response>-96, -77, -76, -65, -37, -27, 29, 47, 82</response>


input: Demonstrate how bubble sort orders the integers -1, -24, -37, -94 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-1, -24, -37, -94]

Pass 1:
  Compare -1 and -24
  Swap -1 and -24
  List after swap: [-24, -1, -37, -94]
  Compare -1 and -37
  Swap -1 and -37
  List after swap: [-24, -37, -1, -94]
  Compare -1 and -94
  Swap -1 and -94
  List after swap: [-24, -37, -94, -1]

Pass 2:
  Compare -24 and -37
  Swap -24 and -37
  List after swap: [-37, -24, -94, -1]
  Compare -24 and -94
  Swap -24 and -94
  List after swap: [-37, -94, -24, -1]

Pass 3:
  Compare -37 and -94
  Swap -37 and -94
  List after swap: [-94, -37, -24, -1]

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

Final sorted list: [-94, -37, -24, -1]
</think>

<response>-94, -37, -24, -1</response>


input: Execute bubble sort to sort 91, 78, -4, 63, -62, -60, -75 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [91, 78, -4, 63, -62, -60, -75]

Pass 1:
  Compare 91 and 78
  Swap 91 and 78
  List after swap: [78, 91, -4, 63, -62, -60, -75]
  Compare 91 and -4
  Swap 91 and -4
  List after swap: [78, -4, 91, 63, -62, -60, -75]
  Compare 91 and 63
  Swap 91 and 63
  List after swap: [78, -4, 63, 91, -62, -60, -75]
  Compare 91 and -62
  Swap 91 and -62
  List after swap: [78, -4, 63, -62, 91, -60, -75]
  Compare 91 and -60
  Swap 91 and -60
  List after swap: [78, -4, 63, -62, -60, 91, -75]
  Compare 91 and -75
  Swap 91 and -75
  List after swap: [78, -4, 63, -62, -60, -75, 91]

Pass 2:
  Compare 78 and -4
  Swap 78 and -4
  List after swap: [-4, 78, 63, -62, -60, -75, 91]
  Compare 78 and 63
  Swap 78 and 63
  List after swap: [-4, 63, 78, -62, -60, -75, 91]
  Compare 78 and -62
  Swap 78 and -62
  List after swap: [-4, 63, -62, 78, -60, -75, 91]
  Compare 78 and -60
  Swap 78 and -60
  List after swap: [-4, 63, -62, -60, 78, -75, 91]
  Compare 78 and -75
  Swap 78 and -75
  List after swap: [-4, 63, -62, -60, -75, 78, 91]

Pass 3:
  Compare -4 and 63
  No swap needed
  Compare 63 and -62
  Swap 63 and -62
  List after swap: [-4, -62, 63, -60, -75, 78, 91]
  Compare 63 and -60
  Swap 63 and -60
  List after swap: [-4, -62, -60, 63, -75, 78, 91]
  Compare 63 and -75
  Swap 63 and -75
  List after swap: [-4, -62, -60, -75, 63, 78, 91]

Pass 4:
  Compare -4 and -62
  Swap -4 and -62
  List after swap: [-62, -4, -60, -75, 63, 78, 91]
  Compare -4 and -60
  Swap -4 and -60
  List after swap: [-62, -60, -4, -75, 63, 78, 91]
  Compare -4 and -75
  Swap -4 and -75
  List after swap: [-62, -60, -75, -4, 63, 78, 91]

Pass 5:
  Compare -62 and -60
  No swap needed
  Compare -60 and -75
  Swap -60 and -75
  List after swap: [-62, -75, -60, -4, 63, 78, 91]

Pass 6:
  Compare -62 and -75
  Swap -62 and -75
  List after swap: [-75, -62, -60, -4, 63, 78, 91]

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

Final sorted list: [-75, -62, -60, -4, 63, 78, 91]
</think>

<response>-75, -62, -60, -4, 63, 78, 91</response>


input: Using the bubble sort method, sort 90, 95, 70, -61 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [90, 95, 70, -61]

Pass 1:
  Compare 90 and 95
  No swap needed
  Compare 95 and 70
  Swap 95 and 70
  List after swap: [90, 70, 95, -61]
  Compare 95 and -61
  Swap 95 and -61
  List after swap: [90, 70, -61, 95]

Pass 2:
  Compare 90 and 70
  Swap 90 and 70
  List after swap: [70, 90, -61, 95]
  Compare 90 and -61
  Swap 90 and -61
  List after swap: [70, -61, 90, 95]

Pass 3:
  Compare 70 and -61
  Swap 70 and -61
  List after swap: [-61, 70, 90, 95]

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

Final sorted list: [-61, 70, 90, 95]
</think>

<response>-61, 70, 90, 95</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 20, -61, -25, 50, -9, -32, -35, -27, 90.

output:
<think>
Initial list: [20, -61, -25, 50, -9, -32, -35, -27, 90]

Pass 1:
  Compare 20 and -61
  Swap 20 and -61
  List after swap: [-61, 20, -25, 50, -9, -32, -35, -27, 90]
  Compare 20 and -25
  Swap 20 and -25
  List after swap: [-61, -25, 20, 50, -9, -32, -35, -27, 90]
  Compare 20 and 50
  No swap needed
  Compare 50 and -9
  Swap 50 and -9
  List after swap: [-61, -25, 20, -9, 50, -32, -35, -27, 90]
  Compare 50 and -32
  Swap 50 and -32
  List after swap: [-61, -25, 20, -9, -32, 50, -35, -27, 90]
  Compare 50 and -35
  Swap 50 and -35
  List after swap: [-61, -25, 20, -9, -32, -35, 50, -27, 90]
  Compare 50 and -27
  Swap 50 and -27
  List after swap: [-61, -25, 20, -9, -32, -35, -27, 50, 90]
  Compare 50 and 90
  No swap needed

Pass 2:
  Compare -61 and -25
  No swap needed
  Compare -25 and 20
  No swap needed
  Compare 20 and -9
  Swap 20 and -9
  List after swap: [-61, -25, -9, 20, -32, -35, -27, 50, 90]
  Compare 20 and -32
  Swap 20 and -32
  List after swap: [-61, -25, -9, -32, 20, -35, -27, 50, 90]
  Compare 20 and -35
  Swap 20 and -35
  List after swap: [-61, -25, -9, -32, -35, 20, -27, 50, 90]
  Compare 20 and -27
  Swap 20 and -27
  List after swap: [-61, -25, -9, -32, -35, -27, 20, 50, 90]
  Compare 20 and 50
  No swap needed

Pass 3:
  Compare -61 and -25
  No swap needed
  Compare -25 and -9
  No swap needed
  Compare -9 and -32
  Swap -9 and -32
  List after swap: [-61, -25, -32, -9, -35, -27, 20, 50, 90]
  Compare -9 and -35
  Swap -9 and -35
  List after swap: [-61, -25, -32, -35, -9, -27, 20, 50, 90]
  Compare -9 and -27
  Swap -9 and -27
  List after swap: [-61, -25, -32, -35, -27, -9, 20, 50, 90]
  Compare -9 and 20
  No swap needed

Pass 4:
  Compare -61 and -25
  No swap needed
  Compare -25 and -32
  Swap -25 and -32
  List after swap: [-61, -32, -25, -35, -27, -9, 20, 50, 90]
  Compare -25 and -35
  Swap -25 and -35
  List after swap: [-61, -32, -35, -25, -27, -9, 20, 50, 90]
  Compare -25 and -27
  Swap -25 and -27
  List after swap: [-61, -32, -35, -27, -25, -9, 20, 50, 90]
  Compare -25 and -9
  No swap needed

Pass 5:
  Compare -61 and -32
  No swap needed
  Compare -32 and -35
  Swap -32 and -35
  List after swap: [-61, -35, -32, -27, -25, -9, 20, 50, 90]
  Compare -32 and -27
  No swap needed
  Compare -27 and -25
  No swap needed

Pass 6:
  Compare -61 and -35
  No swap needed
  Compare -35 and -32
  No swap needed
  Compare -32 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -35, -32, -27, -25, -9, 20, 50, 90]
</think>

<response>-61, -35, -32, -27, -25, -9, 20, 50, 90</response>


input: Arrange the numbers 4, -61, 82 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [4, -61, 82]

Pass 1:
  Compare 4 and -61
  Swap 4 and -61
  List after swap: [-61, 4, 82]
  Compare 4 and 82
  No swap needed

Pass 2:
  Compare -61 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, 4, 82]
</think>

<response>-61, 4, 82</response>


input: Use the bubble sort technique to reorder 89, 82, 66, -73, 92, 26, -74, 99, 31 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [89, 82, 66, -73, 92, 26, -74, 99, 31]

Pass 1:
  Compare 89 and 82
  Swap 89 and 82
  List after swap: [82, 89, 66, -73, 92, 26, -74, 99, 31]
  Compare 89 and 66
  Swap 89 and 66
  List after swap: [82, 66, 89, -73, 92, 26, -74, 99, 31]
  Compare 89 and -73
  Swap 89 and -73
  List after swap: [82, 66, -73, 89, 92, 26, -74, 99, 31]
  Compare 89 and 92
  No swap needed
  Compare 92 and 26
  Swap 92 and 26
  List after swap: [82, 66, -73, 89, 26, 92, -74, 99, 31]
  Compare 92 and -74
  Swap 92 and -74
  List after swap: [82, 66, -73, 89, 26, -74, 92, 99, 31]
  Compare 92 and 99
  No swap needed
  Compare 99 and 31
  Swap 99 and 31
  List after swap: [82, 66, -73, 89, 26, -74, 92, 31, 99]

Pass 2:
  Compare 82 and 66
  Swap 82 and 66
  List after swap: [66, 82, -73, 89, 26, -74, 92, 31, 99]
  Compare 82 and -73
  Swap 82 and -73
  List after swap: [66, -73, 82, 89, 26, -74, 92, 31, 99]
  Compare 82 and 89
  No swap needed
  Compare 89 and 26
  Swap 89 and 26
  List after swap: [66, -73, 82, 26, 89, -74, 92, 31, 99]
  Compare 89 and -74
  Swap 89 and -74
  List after swap: [66, -73, 82, 26, -74, 89, 92, 31, 99]
  Compare 89 and 92
  No swap needed
  Compare 92 and 31
  Swap 92 and 31
  List after swap: [66, -73, 82, 26, -74, 89, 31, 92, 99]

Pass 3:
  Compare 66 and -73
  Swap 66 and -73
  List after swap: [-73, 66, 82, 26, -74, 89, 31, 92, 99]
  Compare 66 and 82
  No swap needed
  Compare 82 and 26
  Swap 82 and 26
  List after swap: [-73, 66, 26, 82, -74, 89, 31, 92, 99]
  Compare 82 and -74
  Swap 82 and -74
  List after swap: [-73, 66, 26, -74, 82, 89, 31, 92, 99]
  Compare 82 and 89
  No swap needed
  Compare 89 and 31
  Swap 89 and 31
  List after swap: [-73, 66, 26, -74, 82, 31, 89, 92, 99]

Pass 4:
  Compare -73 and 66
  No swap needed
  Compare 66 and 26
  Swap 66 and 26
  List after swap: [-73, 26, 66, -74, 82, 31, 89, 92, 99]
  Compare 66 and -74
  Swap 66 and -74
  List after swap: [-73, 26, -74, 66, 82, 31, 89, 92, 99]
  Compare 66 and 82
  No swap needed
  Compare 82 and 31
  Swap 82 and 31
  List after swap: [-73, 26, -74, 66, 31, 82, 89, 92, 99]

Pass 5:
  Compare -73 and 26
  No swap needed
  Compare 26 and -74
  Swap 26 and -74
  List after swap: [-73, -74, 26, 66, 31, 82, 89, 92, 99]
  Compare 26 and 66
  No swap needed
  Compare 66 and 31
  Swap 66 and 31
  List after swap: [-73, -74, 26, 31, 66, 82, 89, 92, 99]

Pass 6:
  Compare -73 and -74
  Swap -73 and -74
  List after swap: [-74, -73, 26, 31, 66, 82, 89, 92, 99]
  Compare -73 and 26
  No swap needed
  Compare 26 and 31
  No swap needed

Pass 7:
  Compare -74 and -73
  No swap needed
  Compare -73 and 26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -73, 26, 31, 66, 82, 89, 92, 99]
</think>

<response>-74, -73, 26, 31, 66, 82, 89, 92, 99</response>


input: Sort these integers -44, -49, -58, 80, -50, 2, -85, 39, 76, -88 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-44, -49, -58, 80, -50, 2, -85, 39, 76, -88]

Pass 1:
  Compare -44 and -49
  Swap -44 and -49
  List after swap: [-49, -44, -58, 80, -50, 2, -85, 39, 76, -88]
  Compare -44 and -58
  Swap -44 and -58
  List after swap: [-49, -58, -44, 80, -50, 2, -85, 39, 76, -88]
  Compare -44 and 80
  No swap needed
  Compare 80 and -50
  Swap 80 and -50
  List after swap: [-49, -58, -44, -50, 80, 2, -85, 39, 76, -88]
  Compare 80 and 2
  Swap 80 and 2
  List after swap: [-49, -58, -44, -50, 2, 80, -85, 39, 76, -88]
  Compare 80 and -85
  Swap 80 and -85
  List after swap: [-49, -58, -44, -50, 2, -85, 80, 39, 76, -88]
  Compare 80 and 39
  Swap 80 and 39
  List after swap: [-49, -58, -44, -50, 2, -85, 39, 80, 76, -88]
  Compare 80 and 76
  Swap 80 and 76
  List after swap: [-49, -58, -44, -50, 2, -85, 39, 76, 80, -88]
  Compare 80 and -88
  Swap 80 and -88
  List after swap: [-49, -58, -44, -50, 2, -85, 39, 76, -88, 80]

Pass 2:
  Compare -49 and -58
  Swap -49 and -58
  List after swap: [-58, -49, -44, -50, 2, -85, 39, 76, -88, 80]
  Compare -49 and -44
  No swap needed
  Compare -44 and -50
  Swap -44 and -50
  List after swap: [-58, -49, -50, -44, 2, -85, 39, 76, -88, 80]
  Compare -44 and 2
  No swap needed
  Compare 2 and -85
  Swap 2 and -85
  List after swap: [-58, -49, -50, -44, -85, 2, 39, 76, -88, 80]
  Compare 2 and 39
  No swap needed
  Compare 39 and 76
  No swap needed
  Compare 76 and -88
  Swap 76 and -88
  List after swap: [-58, -49, -50, -44, -85, 2, 39, -88, 76, 80]

Pass 3:
  Compare -58 and -49
  No swap needed
  Compare -49 and -50
  Swap -49 and -50
  List after swap: [-58, -50, -49, -44, -85, 2, 39, -88, 76, 80]
  Compare -49 and -44
  No swap needed
  Compare -44 and -85
  Swap -44 and -85
  List after swap: [-58, -50, -49, -85, -44, 2, 39, -88, 76, 80]
  Compare -44 and 2
  No swap needed
  Compare 2 and 39
  No swap needed
  Compare 39 and -88
  Swap 39 and -88
  List after swap: [-58, -50, -49, -85, -44, 2, -88, 39, 76, 80]

Pass 4:
  Compare -58 and -50
  No swap needed
  Compare -50 and -49
  No swap needed
  Compare -49 and -85
  Swap -49 and -85
  List after swap: [-58, -50, -85, -49, -44, 2, -88, 39, 76, 80]
  Compare -49 and -44
  No swap needed
  Compare -44 and 2
  No swap needed
  Compare 2 and -88
  Swap 2 and -88
  List after swap: [-58, -50, -85, -49, -44, -88, 2, 39, 76, 80]

Pass 5:
  Compare -58 and -50
  No swap needed
  Compare -50 and -85
  Swap -50 and -85
  List after swap: [-58, -85, -50, -49, -44, -88, 2, 39, 76, 80]
  Compare -50 and -49
  No swap needed
  Compare -49 and -44
  No swap needed
  Compare -44 and -88
  Swap -44 and -88
  List after swap: [-58, -85, -50, -49, -88, -44, 2, 39, 76, 80]

Pass 6:
  Compare -58 and -85
  Swap -58 and -85
  List after swap: [-85, -58, -50, -49, -88, -44, 2, 39, 76, 80]
  Compare -58 and -50
  No swap needed
  Compare -50 and -49
  No swap needed
  Compare -49 and -88
  Swap -49 and -88
  List after swap: [-85, -58, -50, -88, -49, -44, 2, 39, 76, 80]

Pass 7:
  Compare -85 and -58
  No swap needed
  Compare -58 and -50
  No swap needed
  Compare -50 and -88
  Swap -50 and -88
  List after swap: [-85, -58, -88, -50, -49, -44, 2, 39, 76, 80]

Pass 8:
  Compare -85 and -58
  No swap needed
  Compare -58 and -88
  Swap -58 and -88
  List after swap: [-85, -88, -58, -50, -49, -44, 2, 39, 76, 80]

Pass 9:
  Compare -85 and -88
  Swap -85 and -88
  List after swap: [-88, -85, -58, -50, -49, -44, 2, 39, 76, 80]

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

Final sorted list: [-88, -85, -58, -50, -49, -44, 2, 39, 76, 80]
</think>

<response>-88, -85, -58, -50, -49, -44, 2, 39, 76, 80</response>


input: Sort the list 9, 15, 20, -41, 83, 18, 8, 39 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [9, 15, 20, -41, 83, 18, 8, 39]

Pass 1:
  Compare 9 and 15
  No swap needed
  Compare 15 and 20
  No swap needed
  Compare 20 and -41
  Swap 20 and -41
  List after swap: [9, 15, -41, 20, 83, 18, 8, 39]
  Compare 20 and 83
  No swap needed
  Compare 83 and 18
  Swap 83 and 18
  List after swap: [9, 15, -41, 20, 18, 83, 8, 39]
  Compare 83 and 8
  Swap 83 and 8
  List after swap: [9, 15, -41, 20, 18, 8, 83, 39]
  Compare 83 and 39
  Swap 83 and 39
  List after swap: [9, 15, -41, 20, 18, 8, 39, 83]

Pass 2:
  Compare 9 and 15
  No swap needed
  Compare 15 and -41
  Swap 15 and -41
  List after swap: [9, -41, 15, 20, 18, 8, 39, 83]
  Compare 15 and 20
  No swap needed
  Compare 20 and 18
  Swap 20 and 18
  List after swap: [9, -41, 15, 18, 20, 8, 39, 83]
  Compare 20 and 8
  Swap 20 and 8
  List after swap: [9, -41, 15, 18, 8, 20, 39, 83]
  Compare 20 and 39
  No swap needed

Pass 3:
  Compare 9 and -41
  Swap 9 and -41
  List after swap: [-41, 9, 15, 18, 8, 20, 39, 83]
  Compare 9 and 15
  No swap needed
  Compare 15 and 18
  No swap needed
  Compare 18 and 8
  Swap 18 and 8
  List after swap: [-41, 9, 15, 8, 18, 20, 39, 83]
  Compare 18 and 20
  No swap needed

Pass 4:
  Compare -41 and 9
  No swap needed
  Compare 9 and 15
  No swap needed
  Compare 15 and 8
  Swap 15 and 8
  List after swap: [-41, 9, 8, 15, 18, 20, 39, 83]
  Compare 15 and 18
  No swap needed

Pass 5:
  Compare -41 and 9
  No swap needed
  Compare 9 and 8
  Swap 9 and 8
  List after swap: [-41, 8, 9, 15, 18, 20, 39, 83]
  Compare 9 and 15
  No swap needed

Pass 6:
  Compare -41 and 8
  No swap needed
  Compare 8 and 9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-41, 8, 9, 15, 18, 20, 39, 83]
</think>

<response>-41, 8, 9, 15, 18, 20, 39, 83</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 38, 70, 4, -36, -52, 20, 25, -57, -28, -2.

output:
<think>
Initial list: [38, 70, 4, -36, -52, 20, 25, -57, -28, -2]

Pass 1:
  Compare 38 and 70
  No swap needed
  Compare 70 and 4
  Swap 70 and 4
  List after swap: [38, 4, 70, -36, -52, 20, 25, -57, -28, -2]
  Compare 70 and -36
  Swap 70 and -36
  List after swap: [38, 4, -36, 70, -52, 20, 25, -57, -28, -2]
  Compare 70 and -52
  Swap 70 and -52
  List after swap: [38, 4, -36, -52, 70, 20, 25, -57, -28, -2]
  Compare 70 and 20
  Swap 70 and 20
  List after swap: [38, 4, -36, -52, 20, 70, 25, -57, -28, -2]
  Compare 70 and 25
  Swap 70 and 25
  List after swap: [38, 4, -36, -52, 20, 25, 70, -57, -28, -2]
  Compare 70 and -57
  Swap 70 and -57
  List after swap: [38, 4, -36, -52, 20, 25, -57, 70, -28, -2]
  Compare 70 and -28
  Swap 70 and -28
  List after swap: [38, 4, -36, -52, 20, 25, -57, -28, 70, -2]
  Compare 70 and -2
  Swap 70 and -2
  List after swap: [38, 4, -36, -52, 20, 25, -57, -28, -2, 70]

Pass 2:
  Compare 38 and 4
  Swap 38 and 4
  List after swap: [4, 38, -36, -52, 20, 25, -57, -28, -2, 70]
  Compare 38 and -36
  Swap 38 and -36
  List after swap: [4, -36, 38, -52, 20, 25, -57, -28, -2, 70]
  Compare 38 and -52
  Swap 38 and -52
  List after swap: [4, -36, -52, 38, 20, 25, -57, -28, -2, 70]
  Compare 38 and 20
  Swap 38 and 20
  List after swap: [4, -36, -52, 20, 38, 25, -57, -28, -2, 70]
  Compare 38 and 25
  Swap 38 and 25
  List after swap: [4, -36, -52, 20, 25, 38, -57, -28, -2, 70]
  Compare 38 and -57
  Swap 38 and -57
  List after swap: [4, -36, -52, 20, 25, -57, 38, -28, -2, 70]
  Compare 38 and -28
  Swap 38 and -28
  List after swap: [4, -36, -52, 20, 25, -57, -28, 38, -2, 70]
  Compare 38 and -2
  Swap 38 and -2
  List after swap: [4, -36, -52, 20, 25, -57, -28, -2, 38, 70]

Pass 3:
  Compare 4 and -36
  Swap 4 and -36
  List after swap: [-36, 4, -52, 20, 25, -57, -28, -2, 38, 70]
  Compare 4 and -52
  Swap 4 and -52
  List after swap: [-36, -52, 4, 20, 25, -57, -28, -2, 38, 70]
  Compare 4 and 20
  No swap needed
  Compare 20 and 25
  No swap needed
  Compare 25 and -57
  Swap 25 and -57
  List after swap: [-36, -52, 4, 20, -57, 25, -28, -2, 38, 70]
  Compare 25 and -28
  Swap 25 and -28
  List after swap: [-36, -52, 4, 20, -57, -28, 25, -2, 38, 70]
  Compare 25 and -2
  Swap 25 and -2
  List after swap: [-36, -52, 4, 20, -57, -28, -2, 25, 38, 70]

Pass 4:
  Compare -36 and -52
  Swap -36 and -52
  List after swap: [-52, -36, 4, 20, -57, -28, -2, 25, 38, 70]
  Compare -36 and 4
  No swap needed
  Compare 4 and 20
  No swap needed
  Compare 20 and -57
  Swap 20 and -57
  List after swap: [-52, -36, 4, -57, 20, -28, -2, 25, 38, 70]
  Compare 20 and -28
  Swap 20 and -28
  List after swap: [-52, -36, 4, -57, -28, 20, -2, 25, 38, 70]
  Compare 20 and -2
  Swap 20 and -2
  List after swap: [-52, -36, 4, -57, -28, -2, 20, 25, 38, 70]

Pass 5:
  Compare -52 and -36
  No swap needed
  Compare -36 and 4
  No swap needed
  Compare 4 and -57
  Swap 4 and -57
  List after swap: [-52, -36, -57, 4, -28, -2, 20, 25, 38, 70]
  Compare 4 and -28
  Swap 4 and -28
  List after swap: [-52, -36, -57, -28, 4, -2, 20, 25, 38, 70]
  Compare 4 and -2
  Swap 4 and -2
  List after swap: [-52, -36, -57, -28, -2, 4, 20, 25, 38, 70]

Pass 6:
  Compare -52 and -36
  No swap needed
  Compare -36 and -57
  Swap -36 and -57
  List after swap: [-52, -57, -36, -28, -2, 4, 20, 25, 38, 70]
  Compare -36 and -28
  No swap needed
  Compare -28 and -2
  No swap needed

Pass 7:
  Compare -52 and -57
  Swap -52 and -57
  List after swap: [-57, -52, -36, -28, -2, 4, 20, 25, 38, 70]
  Compare -52 and -36
  No swap needed
  Compare -36 and -28
  No swap needed

Pass 8:
  Compare -57 and -52
  No swap needed
  Compare -52 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -52, -36, -28, -2, 4, 20, 25, 38, 70]
</think>

<response>-57, -52, -36, -28, -2, 4, 20, 25, 38, 70</response>


input: Carry out the bubble sort algorithm on 58, -72, 79, -9, -85, -98 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [58, -72, 79, -9, -85, -98]

Pass 1:
  Compare 58 and -72
  Swap 58 and -72
  List after swap: [-72, 58, 79, -9, -85, -98]
  Compare 58 and 79
  No swap needed
  Compare 79 and -9
  Swap 79 and -9
  List after swap: [-72, 58, -9, 79, -85, -98]
  Compare 79 and -85
  Swap 79 and -85
  List after swap: [-72, 58, -9, -85, 79, -98]
  Compare 79 and -98
  Swap 79 and -98
  List after swap: [-72, 58, -9, -85, -98, 79]

Pass 2:
  Compare -72 and 58
  No swap needed
  Compare 58 and -9
  Swap 58 and -9
  List after swap: [-72, -9, 58, -85, -98, 79]
  Compare 58 and -85
  Swap 58 and -85
  List after swap: [-72, -9, -85, 58, -98, 79]
  Compare 58 and -98
  Swap 58 and -98
  List after swap: [-72, -9, -85, -98, 58, 79]

Pass 3:
  Compare -72 and -9
  No swap needed
  Compare -9 and -85
  Swap -9 and -85
  List after swap: [-72, -85, -9, -98, 58, 79]
  Compare -9 and -98
  Swap -9 and -98
  List after swap: [-72, -85, -98, -9, 58, 79]

Pass 4:
  Compare -72 and -85
  Swap -72 and -85
  List after swap: [-85, -72, -98, -9, 58, 79]
  Compare -72 and -98
  Swap -72 and -98
  List after swap: [-85, -98, -72, -9, 58, 79]

Pass 5:
  Compare -85 and -98
  Swap -85 and -98
  List after swap: [-98, -85, -72, -9, 58, 79]

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

Final sorted list: [-98, -85, -72, -9, 58, 79]
</think>

<response>-98, -85, -72, -9, 58, 79</response>


input: Perform a bubble sort on the integers 52, 80, -64, 67, -40, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [52, 80, -64, 67, -40]

Pass 1:
  Compare 52 and 80
  No swap needed
  Compare 80 and -64
  Swap 80 and -64
  List after swap: [52, -64, 80, 67, -40]
  Compare 80 and 67
  Swap 80 and 67
  List after swap: [52, -64, 67, 80, -40]
  Compare 80 and -40
  Swap 80 and -40
  List after swap: [52, -64, 67, -40, 80]

Pass 2:
  Compare 52 and -64
  Swap 52 and -64
  List after swap: [-64, 52, 67, -40, 80]
  Compare 52 and 67
  No swap needed
  Compare 67 and -40
  Swap 67 and -40
  List after swap: [-64, 52, -40, 67, 80]

Pass 3:
  Compare -64 and 52
  No swap needed
  Compare 52 and -40
  Swap 52 and -40
  List after swap: [-64, -40, 52, 67, 80]

Pass 4:
  Compare -64 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -40, 52, 67, 80]
</think>

<response>-64, -40, 52, 67, 80</response>


input: Demonstrate how bubble sort orders the integers 76, 24, 72, -79, -97, 2 in ascending sequence, showing all steps.

output:
<think>
Initial list: [76, 24, 72, -79, -97, 2]

Pass 1:
  Compare 76 and 24
  Swap 76 and 24
  List after swap: [24, 76, 72, -79, -97, 2]
  Compare 76 and 72
  Swap 76 and 72
  List after swap: [24, 72, 76, -79, -97, 2]
  Compare 76 and -79
  Swap 76 and -79
  List after swap: [24, 72, -79, 76, -97, 2]
  Compare 76 and -97
  Swap 76 and -97
  List after swap: [24, 72, -79, -97, 76, 2]
  Compare 76 and 2
  Swap 76 and 2
  List after swap: [24, 72, -79, -97, 2, 76]

Pass 2:
  Compare 24 and 72
  No swap needed
  Compare 72 and -79
  Swap 72 and -79
  List after swap: [24, -79, 72, -97, 2, 76]
  Compare 72 and -97
  Swap 72 and -97
  List after swap: [24, -79, -97, 72, 2, 76]
  Compare 72 and 2
  Swap 72 and 2
  List after swap: [24, -79, -97, 2, 72, 76]

Pass 3:
  Compare 24 and -79
  Swap 24 and -79
  List after swap: [-79, 24, -97, 2, 72, 76]
  Compare 24 and -97
  Swap 24 and -97
  List after swap: [-79, -97, 24, 2, 72, 76]
  Compare 24 and 2
  Swap 24 and 2
  List after swap: [-79, -97, 2, 24, 72, 76]

Pass 4:
  Compare -79 and -97
  Swap -79 and -97
  List after swap: [-97, -79, 2, 24, 72, 76]
  Compare -79 and 2
  No swap needed

Pass 5:
  Compare -97 and -79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -79, 2, 24, 72, 76]
</think>

<response>-97, -79, 2, 24, 72, 76</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 26, -92, -70.

output:
<think>
Initial list: [26, -92, -70]

Pass 1:
  Compare 26 and -92
  Swap 26 and -92
  List after swap: [-92, 26, -70]
  Compare 26 and -70
  Swap 26 and -70
  List after swap: [-92, -70, 26]

Pass 2:
  Compare -92 and -70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -70, 26]
</think>

<response>-92, -70, 26</response>


input: Use the bubble sort technique to reorder -37, 2, -98, 76, 56, -9 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-37, 2, -98, 76, 56, -9]

Pass 1:
  Compare -37 and 2
  No swap needed
  Compare 2 and -98
  Swap 2 and -98
  List after swap: [-37, -98, 2, 76, 56, -9]
  Compare 2 and 76
  No swap needed
  Compare 76 and 56
  Swap 76 and 56
  List after swap: [-37, -98, 2, 56, 76, -9]
  Compare 76 and -9
  Swap 76 and -9
  List after swap: [-37, -98, 2, 56, -9, 76]

Pass 2:
  Compare -37 and -98
  Swap -37 and -98
  List after swap: [-98, -37, 2, 56, -9, 76]
  Compare -37 and 2
  No swap needed
  Compare 2 and 56
  No swap needed
  Compare 56 and -9
  Swap 56 and -9
  List after swap: [-98, -37, 2, -9, 56, 76]

Pass 3:
  Compare -98 and -37
  No swap needed
  Compare -37 and 2
  No swap needed
  Compare 2 and -9
  Swap 2 and -9
  List after swap: [-98, -37, -9, 2, 56, 76]

Pass 4:
  Compare -98 and -37
  No swap needed
  Compare -37 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -37, -9, 2, 56, 76]
</think>

<response>-98, -37, -9, 2, 56, 76</response>


input: Sort the list 75, 64, 68, 42, 97, -56 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [75, 64, 68, 42, 97, -56]

Pass 1:
  Compare 75 and 64
  Swap 75 and 64
  List after swap: [64, 75, 68, 42, 97, -56]
  Compare 75 and 68
  Swap 75 and 68
  List after swap: [64, 68, 75, 42, 97, -56]
  Compare 75 and 42
  Swap 75 and 42
  List after swap: [64, 68, 42, 75, 97, -56]
  Compare 75 and 97
  No swap needed
  Compare 97 and -56
  Swap 97 and -56
  List after swap: [64, 68, 42, 75, -56, 97]

Pass 2:
  Compare 64 and 68
  No swap needed
  Compare 68 and 42
  Swap 68 and 42
  List after swap: [64, 42, 68, 75, -56, 97]
  Compare 68 and 75
  No swap needed
  Compare 75 and -56
  Swap 75 and -56
  List after swap: [64, 42, 68, -56, 75, 97]

Pass 3:
  Compare 64 and 42
  Swap 64 and 42
  List after swap: [42, 64, 68, -56, 75, 97]
  Compare 64 and 68
  No swap needed
  Compare 68 and -56
  Swap 68 and -56
  List after swap: [42, 64, -56, 68, 75, 97]

Pass 4:
  Compare 42 and 64
  No swap needed
  Compare 64 and -56
  Swap 64 and -56
  List after swap: [42, -56, 64, 68, 75, 97]

Pass 5:
  Compare 42 and -56
  Swap 42 and -56
  List after swap: [-56, 42, 64, 68, 75, 97]

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

Final sorted list: [-56, 42, 64, 68, 75, 97]
</think>

<response>-56, 42, 64, 68, 75, 97</response>


input: Use the bubble sort technique to reorder 39, -67, 70, -54, -40, 82, 97, 31, 13 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [39, -67, 70, -54, -40, 82, 97, 31, 13]

Pass 1:
  Compare 39 and -67
  Swap 39 and -67
  List after swap: [-67, 39, 70, -54, -40, 82, 97, 31, 13]
  Compare 39 and 70
  No swap needed
  Compare 70 and -54
  Swap 70 and -54
  List after swap: [-67, 39, -54, 70, -40, 82, 97, 31, 13]
  Compare 70 and -40
  Swap 70 and -40
  List after swap: [-67, 39, -54, -40, 70, 82, 97, 31, 13]
  Compare 70 and 82
  No swap needed
  Compare 82 and 97
  No swap needed
  Compare 97 and 31
  Swap 97 and 31
  List after swap: [-67, 39, -54, -40, 70, 82, 31, 97, 13]
  Compare 97 and 13
  Swap 97 and 13
  List after swap: [-67, 39, -54, -40, 70, 82, 31, 13, 97]

Pass 2:
  Compare -67 and 39
  No swap needed
  Compare 39 and -54
  Swap 39 and -54
  List after swap: [-67, -54, 39, -40, 70, 82, 31, 13, 97]
  Compare 39 and -40
  Swap 39 and -40
  List after swap: [-67, -54, -40, 39, 70, 82, 31, 13, 97]
  Compare 39 and 70
  No swap needed
  Compare 70 and 82
  No swap needed
  Compare 82 and 31
  Swap 82 and 31
  List after swap: [-67, -54, -40, 39, 70, 31, 82, 13, 97]
  Compare 82 and 13
  Swap 82 and 13
  List after swap: [-67, -54, -40, 39, 70, 31, 13, 82, 97]

Pass 3:
  Compare -67 and -54
  No swap needed
  Compare -54 and -40
  No swap needed
  Compare -40 and 39
  No swap needed
  Compare 39 and 70
  No swap needed
  Compare 70 and 31
  Swap 70 and 31
  List after swap: [-67, -54, -40, 39, 31, 70, 13, 82, 97]
  Compare 70 and 13
  Swap 70 and 13
  List after swap: [-67, -54, -40, 39, 31, 13, 70, 82, 97]

Pass 4:
  Compare -67 and -54
  No swap needed
  Compare -54 and -40
  No swap needed
  Compare -40 and 39
  No swap needed
  Compare 39 and 31
  Swap 39 and 31
  List after swap: [-67, -54, -40, 31, 39, 13, 70, 82, 97]
  Compare 39 and 13
  Swap 39 and 13
  List after swap: [-67, -54, -40, 31, 13, 39, 70, 82, 97]

Pass 5:
  Compare -67 and -54
  No swap needed
  Compare -54 and -40
  No swap needed
  Compare -40 and 31
  No swap needed
  Compare 31 and 13
  Swap 31 and 13
  List after swap: [-67, -54, -40, 13, 31, 39, 70, 82, 97]

Pass 6:
  Compare -67 and -54
  No swap needed
  Compare -54 and -40
  No swap needed
  Compare -40 and 13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -54, -40, 13, 31, 39, 70, 82, 97]
</think>

<response>-67, -54, -40, 13, 31, 39, 70, 82, 97</response>


input: Execute bubble sort to sort -70, 49, 84, -72, 2, -45 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-70, 49, 84, -72, 2, -45]

Pass 1:
  Compare -70 and 49
  No swap needed
  Compare 49 and 84
  No swap needed
  Compare 84 and -72
  Swap 84 and -72
  List after swap: [-70, 49, -72, 84, 2, -45]
  Compare 84 and 2
  Swap 84 and 2
  List after swap: [-70, 49, -72, 2, 84, -45]
  Compare 84 and -45
  Swap 84 and -45
  List after swap: [-70, 49, -72, 2, -45, 84]

Pass 2:
  Compare -70 and 49
  No swap needed
  Compare 49 and -72
  Swap 49 and -72
  List after swap: [-70, -72, 49, 2, -45, 84]
  Compare 49 and 2
  Swap 49 and 2
  List after swap: [-70, -72, 2, 49, -45, 84]
  Compare 49 and -45
  Swap 49 and -45
  List after swap: [-70, -72, 2, -45, 49, 84]

Pass 3:
  Compare -70 and -72
  Swap -70 and -72
  List after swap: [-72, -70, 2, -45, 49, 84]
  Compare -70 and 2
  No swap needed
  Compare 2 and -45
  Swap 2 and -45
  List after swap: [-72, -70, -45, 2, 49, 84]

Pass 4:
  Compare -72 and -70
  No swap needed
  Compare -70 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -70, -45, 2, 49, 84]
</think>

<response>-72, -70, -45, 2, 49, 84</response>


input: Execute bubble sort to sort 41, 36, 31, 86, -86, 57, -17, -15, 25 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [41, 36, 31, 86, -86, 57, -17, -15, 25]

Pass 1:
  Compare 41 and 36
  Swap 41 and 36
  List after swap: [36, 41, 31, 86, -86, 57, -17, -15, 25]
  Compare 41 and 31
  Swap 41 and 31
  List after swap: [36, 31, 41, 86, -86, 57, -17, -15, 25]
  Compare 41 and 86
  No swap needed
  Compare 86 and -86
  Swap 86 and -86
  List after swap: [36, 31, 41, -86, 86, 57, -17, -15, 25]
  Compare 86 and 57
  Swap 86 and 57
  List after swap: [36, 31, 41, -86, 57, 86, -17, -15, 25]
  Compare 86 and -17
  Swap 86 and -17
  List after swap: [36, 31, 41, -86, 57, -17, 86, -15, 25]
  Compare 86 and -15
  Swap 86 and -15
  List after swap: [36, 31, 41, -86, 57, -17, -15, 86, 25]
  Compare 86 and 25
  Swap 86 and 25
  List after swap: [36, 31, 41, -86, 57, -17, -15, 25, 86]

Pass 2:
  Compare 36 and 31
  Swap 36 and 31
  List after swap: [31, 36, 41, -86, 57, -17, -15, 25, 86]
  Compare 36 and 41
  No swap needed
  Compare 41 and -86
  Swap 41 and -86
  List after swap: [31, 36, -86, 41, 57, -17, -15, 25, 86]
  Compare 41 and 57
  No swap needed
  Compare 57 and -17
  Swap 57 and -17
  List after swap: [31, 36, -86, 41, -17, 57, -15, 25, 86]
  Compare 57 and -15
  Swap 57 and -15
  List after swap: [31, 36, -86, 41, -17, -15, 57, 25, 86]
  Compare 57 and 25
  Swap 57 and 25
  List after swap: [31, 36, -86, 41, -17, -15, 25, 57, 86]

Pass 3:
  Compare 31 and 36
  No swap needed
  Compare 36 and -86
  Swap 36 and -86
  List after swap: [31, -86, 36, 41, -17, -15, 25, 57, 86]
  Compare 36 and 41
  No swap needed
  Compare 41 and -17
  Swap 41 and -17
  List after swap: [31, -86, 36, -17, 41, -15, 25, 57, 86]
  Compare 41 and -15
  Swap 41 and -15
  List after swap: [31, -86, 36, -17, -15, 41, 25, 57, 86]
  Compare 41 and 25
  Swap 41 and 25
  List after swap: [31, -86, 36, -17, -15, 25, 41, 57, 86]

Pass 4:
  Compare 31 and -86
  Swap 31 and -86
  List after swap: [-86, 31, 36, -17, -15, 25, 41, 57, 86]
  Compare 31 and 36
  No swap needed
  Compare 36 and -17
  Swap 36 and -17
  List after swap: [-86, 31, -17, 36, -15, 25, 41, 57, 86]
  Compare 36 and -15
  Swap 36 and -15
  List after swap: [-86, 31, -17, -15, 36, 25, 41, 57, 86]
  Compare 36 and 25
  Swap 36 and 25
  List after swap: [-86, 31, -17, -15, 25, 36, 41, 57, 86]

Pass 5:
  Compare -86 and 31
  No swap needed
  Compare 31 and -17
  Swap 31 and -17
  List after swap: [-86, -17, 31, -15, 25, 36, 41, 57, 86]
  Compare 31 and -15
  Swap 31 and -15
  List after swap: [-86, -17, -15, 31, 25, 36, 41, 57, 86]
  Compare 31 and 25
  Swap 31 and 25
  List after swap: [-86, -17, -15, 25, 31, 36, 41, 57, 86]

Pass 6:
  Compare -86 and -17
  No swap needed
  Compare -17 and -15
  No swap needed
  Compare -15 and 25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -17, -15, 25, 31, 36, 41, 57, 86]
</think>

<response>-86, -17, -15, 25, 31, 36, 41, 57, 86</response>


input: Use the bubble sort technique to reorder 40, -98, -25, 86 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [40, -98, -25, 86]

Pass 1:
  Compare 40 and -98
  Swap 40 and -98
  List after swap: [-98, 40, -25, 86]
  Compare 40 and -25
  Swap 40 and -25
  List after swap: [-98, -25, 40, 86]
  Compare 40 and 86
  No swap needed

Pass 2:
  Compare -98 and -25
  No swap needed
  Compare -25 and 40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -25, 40, 86]
</think>

<response>-98, -25, 40, 86</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -2, 37, 48, 23, 35.

output:
<think>
Initial list: [-2, 37, 48, 23, 35]

Pass 1:
  Compare -2 and 37
  No swap needed
  Compare 37 and 48
  No swap needed
  Compare 48 and 23
  Swap 48 and 23
  List after swap: [-2, 37, 23, 48, 35]
  Compare 48 and 35
  Swap 48 and 35
  List after swap: [-2, 37, 23, 35, 48]

Pass 2:
  Compare -2 and 37
  No swap needed
  Compare 37 and 23
  Swap 37 and 23
  List after swap: [-2, 23, 37, 35, 48]
  Compare 37 and 35
  Swap 37 and 35
  List after swap: [-2, 23, 35, 37, 48]

Pass 3:
  Compare -2 and 23
  No swap needed
  Compare 23 and 35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-2, 23, 35, 37, 48]
</think>

<response>-2, 23, 35, 37, 48</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -68, -53, 49, -50, 17, 86, -59, 21.

output:
<think>
Initial list: [-68, -53, 49, -50, 17, 86, -59, 21]

Pass 1:
  Compare -68 and -53
  No swap needed
  Compare -53 and 49
  No swap needed
  Compare 49 and -50
  Swap 49 and -50
  List after swap: [-68, -53, -50, 49, 17, 86, -59, 21]
  Compare 49 and 17
  Swap 49 and 17
  List after swap: [-68, -53, -50, 17, 49, 86, -59, 21]
  Compare 49 and 86
  No swap needed
  Compare 86 and -59
  Swap 86 and -59
  List after swap: [-68, -53, -50, 17, 49, -59, 86, 21]
  Compare 86 and 21
  Swap 86 and 21
  List after swap: [-68, -53, -50, 17, 49, -59, 21, 86]

Pass 2:
  Compare -68 and -53
  No swap needed
  Compare -53 and -50
  No swap needed
  Compare -50 and 17
  No swap needed
  Compare 17 and 49
  No swap needed
  Compare 49 and -59
  Swap 49 and -59
  List after swap: [-68, -53, -50, 17, -59, 49, 21, 86]
  Compare 49 and 21
  Swap 49 and 21
  List after swap: [-68, -53, -50, 17, -59, 21, 49, 86]

Pass 3:
  Compare -68 and -53
  No swap needed
  Compare -53 and -50
  No swap needed
  Compare -50 and 17
  No swap needed
  Compare 17 and -59
  Swap 17 and -59
  List after swap: [-68, -53, -50, -59, 17, 21, 49, 86]
  Compare 17 and 21
  No swap needed

Pass 4:
  Compare -68 and -53
  No swap needed
  Compare -53 and -50
  No swap needed
  Compare -50 and -59
  Swap -50 and -59
  List after swap: [-68, -53, -59, -50, 17, 21, 49, 86]
  Compare -50 and 17
  No swap needed

Pass 5:
  Compare -68 and -53
  No swap needed
  Compare -53 and -59
  Swap -53 and -59
  List after swap: [-68, -59, -53, -50, 17, 21, 49, 86]
  Compare -53 and -50
  No swap needed

Pass 6:
  Compare -68 and -59
  No swap needed
  Compare -59 and -53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -59, -53, -50, 17, 21, 49, 86]
</think>

<response>-68, -59, -53, -50, 17, 21, 49, 86</response>


input: Perform a bubble sort on the integers -68, -4, -31, 73, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-68, -4, -31, 73]

Pass 1:
  Compare -68 and -4
  No swap needed
  Compare -4 and -31
  Swap -4 and -31
  List after swap: [-68, -31, -4, 73]
  Compare -4 and 73
  No swap needed

Pass 2:
  Compare -68 and -31
  No swap needed
  Compare -31 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -31, -4, 73]
</think>

<response>-68, -31, -4, 73</response>


input: Execute bubble sort to sort 33, 5, -67, -19, -45, 4, 81, -20 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [33, 5, -67, -19, -45, 4, 81, -20]

Pass 1:
  Compare 33 and 5
  Swap 33 and 5
  List after swap: [5, 33, -67, -19, -45, 4, 81, -20]
  Compare 33 and -67
  Swap 33 and -67
  List after swap: [5, -67, 33, -19, -45, 4, 81, -20]
  Compare 33 and -19
  Swap 33 and -19
  List after swap: [5, -67, -19, 33, -45, 4, 81, -20]
  Compare 33 and -45
  Swap 33 and -45
  List after swap: [5, -67, -19, -45, 33, 4, 81, -20]
  Compare 33 and 4
  Swap 33 and 4
  List after swap: [5, -67, -19, -45, 4, 33, 81, -20]
  Compare 33 and 81
  No swap needed
  Compare 81 and -20
  Swap 81 and -20
  List after swap: [5, -67, -19, -45, 4, 33, -20, 81]

Pass 2:
  Compare 5 and -67
  Swap 5 and -67
  List after swap: [-67, 5, -19, -45, 4, 33, -20, 81]
  Compare 5 and -19
  Swap 5 and -19
  List after swap: [-67, -19, 5, -45, 4, 33, -20, 81]
  Compare 5 and -45
  Swap 5 and -45
  List after swap: [-67, -19, -45, 5, 4, 33, -20, 81]
  Compare 5 and 4
  Swap 5 and 4
  List after swap: [-67, -19, -45, 4, 5, 33, -20, 81]
  Compare 5 and 33
  No swap needed
  Compare 33 and -20
  Swap 33 and -20
  List after swap: [-67, -19, -45, 4, 5, -20, 33, 81]

Pass 3:
  Compare -67 and -19
  No swap needed
  Compare -19 and -45
  Swap -19 and -45
  List after swap: [-67, -45, -19, 4, 5, -20, 33, 81]
  Compare -19 and 4
  No swap needed
  Compare 4 and 5
  No swap needed
  Compare 5 and -20
  Swap 5 and -20
  List after swap: [-67, -45, -19, 4, -20, 5, 33, 81]

Pass 4:
  Compare -67 and -45
  No swap needed
  Compare -45 and -19
  No swap needed
  Compare -19 and 4
  No swap needed
  Compare 4 and -20
  Swap 4 and -20
  List after swap: [-67, -45, -19, -20, 4, 5, 33, 81]

Pass 5:
  Compare -67 and -45
  No swap needed
  Compare -45 and -19
  No swap needed
  Compare -19 and -20
  Swap -19 and -20
  List after swap: [-67, -45, -20, -19, 4, 5, 33, 81]

Pass 6:
  Compare -67 and -45
  No swap needed
  Compare -45 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -45, -20, -19, 4, 5, 33, 81]
</think>

<response>-67, -45, -20, -19, 4, 5, 33, 81</response>