input: Carry out the bubble sort algorithm on -55, 22, 81 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-55, 22, 81]

Pass 1:
  Compare -55 and 22
  No swap needed
  Compare 22 and 81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, 22, 81]
</think>

<response>-55, 22, 81</response>


input: Sort these integers 39, 50, 25, 91 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [39, 50, 25, 91]

Pass 1:
  Compare 39 and 50
  No swap needed
  Compare 50 and 25
  Swap 50 and 25
  List after swap: [39, 25, 50, 91]
  Compare 50 and 91
  No swap needed

Pass 2:
  Compare 39 and 25
  Swap 39 and 25
  List after swap: [25, 39, 50, 91]
  Compare 39 and 50
  No swap needed

Pass 3:
  Compare 25 and 39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [25, 39, 50, 91]
</think>

<response>25, 39, 50, 91</response>


input: Execute bubble sort to sort 43, -48, 30, 6 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [43, -48, 30, 6]

Pass 1:
  Compare 43 and -48
  Swap 43 and -48
  List after swap: [-48, 43, 30, 6]
  Compare 43 and 30
  Swap 43 and 30
  List after swap: [-48, 30, 43, 6]
  Compare 43 and 6
  Swap 43 and 6
  List after swap: [-48, 30, 6, 43]

Pass 2:
  Compare -48 and 30
  No swap needed
  Compare 30 and 6
  Swap 30 and 6
  List after swap: [-48, 6, 30, 43]

Pass 3:
  Compare -48 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-48, 6, 30, 43]
</think>

<response>-48, 6, 30, 43</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -41, 65, -88, 38, 51, -8, 9.

output:
<think>
Initial list: [-41, 65, -88, 38, 51, -8, 9]

Pass 1:
  Compare -41 and 65
  No swap needed
  Compare 65 and -88
  Swap 65 and -88
  List after swap: [-41, -88, 65, 38, 51, -8, 9]
  Compare 65 and 38
  Swap 65 and 38
  List after swap: [-41, -88, 38, 65, 51, -8, 9]
  Compare 65 and 51
  Swap 65 and 51
  List after swap: [-41, -88, 38, 51, 65, -8, 9]
  Compare 65 and -8
  Swap 65 and -8
  List after swap: [-41, -88, 38, 51, -8, 65, 9]
  Compare 65 and 9
  Swap 65 and 9
  List after swap: [-41, -88, 38, 51, -8, 9, 65]

Pass 2:
  Compare -41 and -88
  Swap -41 and -88
  List after swap: [-88, -41, 38, 51, -8, 9, 65]
  Compare -41 and 38
  No swap needed
  Compare 38 and 51
  No swap needed
  Compare 51 and -8
  Swap 51 and -8
  List after swap: [-88, -41, 38, -8, 51, 9, 65]
  Compare 51 and 9
  Swap 51 and 9
  List after swap: [-88, -41, 38, -8, 9, 51, 65]

Pass 3:
  Compare -88 and -41
  No swap needed
  Compare -41 and 38
  No swap needed
  Compare 38 and -8
  Swap 38 and -8
  List after swap: [-88, -41, -8, 38, 9, 51, 65]
  Compare 38 and 9
  Swap 38 and 9
  List after swap: [-88, -41, -8, 9, 38, 51, 65]

Pass 4:
  Compare -88 and -41
  No swap needed
  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: [-88, -41, -8, 9, 38, 51, 65]
</think>

<response>-88, -41, -8, 9, 38, 51, 65</response>


input: Execute bubble sort to sort -71, 5, -37, 77, -47, 34, 2, 12, 1 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-71, 5, -37, 77, -47, 34, 2, 12, 1]

Pass 1:
  Compare -71 and 5
  No swap needed
  Compare 5 and -37
  Swap 5 and -37
  List after swap: [-71, -37, 5, 77, -47, 34, 2, 12, 1]
  Compare 5 and 77
  No swap needed
  Compare 77 and -47
  Swap 77 and -47
  List after swap: [-71, -37, 5, -47, 77, 34, 2, 12, 1]
  Compare 77 and 34
  Swap 77 and 34
  List after swap: [-71, -37, 5, -47, 34, 77, 2, 12, 1]
  Compare 77 and 2
  Swap 77 and 2
  List after swap: [-71, -37, 5, -47, 34, 2, 77, 12, 1]
  Compare 77 and 12
  Swap 77 and 12
  List after swap: [-71, -37, 5, -47, 34, 2, 12, 77, 1]
  Compare 77 and 1
  Swap 77 and 1
  List after swap: [-71, -37, 5, -47, 34, 2, 12, 1, 77]

Pass 2:
  Compare -71 and -37
  No swap needed
  Compare -37 and 5
  No swap needed
  Compare 5 and -47
  Swap 5 and -47
  List after swap: [-71, -37, -47, 5, 34, 2, 12, 1, 77]
  Compare 5 and 34
  No swap needed
  Compare 34 and 2
  Swap 34 and 2
  List after swap: [-71, -37, -47, 5, 2, 34, 12, 1, 77]
  Compare 34 and 12
  Swap 34 and 12
  List after swap: [-71, -37, -47, 5, 2, 12, 34, 1, 77]
  Compare 34 and 1
  Swap 34 and 1
  List after swap: [-71, -37, -47, 5, 2, 12, 1, 34, 77]

Pass 3:
  Compare -71 and -37
  No swap needed
  Compare -37 and -47
  Swap -37 and -47
  List after swap: [-71, -47, -37, 5, 2, 12, 1, 34, 77]
  Compare -37 and 5
  No swap needed
  Compare 5 and 2
  Swap 5 and 2
  List after swap: [-71, -47, -37, 2, 5, 12, 1, 34, 77]
  Compare 5 and 12
  No swap needed
  Compare 12 and 1
  Swap 12 and 1
  List after swap: [-71, -47, -37, 2, 5, 1, 12, 34, 77]

Pass 4:
  Compare -71 and -47
  No swap needed
  Compare -47 and -37
  No swap needed
  Compare -37 and 2
  No swap needed
  Compare 2 and 5
  No swap needed
  Compare 5 and 1
  Swap 5 and 1
  List after swap: [-71, -47, -37, 2, 1, 5, 12, 34, 77]

Pass 5:
  Compare -71 and -47
  No swap needed
  Compare -47 and -37
  No swap needed
  Compare -37 and 2
  No swap needed
  Compare 2 and 1
  Swap 2 and 1
  List after swap: [-71, -47, -37, 1, 2, 5, 12, 34, 77]

Pass 6:
  Compare -71 and -47
  No swap needed
  Compare -47 and -37
  No swap needed
  Compare -37 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -47, -37, 1, 2, 5, 12, 34, 77]
</think>

<response>-71, -47, -37, 1, 2, 5, 12, 34, 77</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -79, 33, 83, 67, -99, 48, -83, -31, -64, 75.

output:
<think>
Initial list: [-79, 33, 83, 67, -99, 48, -83, -31, -64, 75]

Pass 1:
  Compare -79 and 33
  No swap needed
  Compare 33 and 83
  No swap needed
  Compare 83 and 67
  Swap 83 and 67
  List after swap: [-79, 33, 67, 83, -99, 48, -83, -31, -64, 75]
  Compare 83 and -99
  Swap 83 and -99
  List after swap: [-79, 33, 67, -99, 83, 48, -83, -31, -64, 75]
  Compare 83 and 48
  Swap 83 and 48
  List after swap: [-79, 33, 67, -99, 48, 83, -83, -31, -64, 75]
  Compare 83 and -83
  Swap 83 and -83
  List after swap: [-79, 33, 67, -99, 48, -83, 83, -31, -64, 75]
  Compare 83 and -31
  Swap 83 and -31
  List after swap: [-79, 33, 67, -99, 48, -83, -31, 83, -64, 75]
  Compare 83 and -64
  Swap 83 and -64
  List after swap: [-79, 33, 67, -99, 48, -83, -31, -64, 83, 75]
  Compare 83 and 75
  Swap 83 and 75
  List after swap: [-79, 33, 67, -99, 48, -83, -31, -64, 75, 83]

Pass 2:
  Compare -79 and 33
  No swap needed
  Compare 33 and 67
  No swap needed
  Compare 67 and -99
  Swap 67 and -99
  List after swap: [-79, 33, -99, 67, 48, -83, -31, -64, 75, 83]
  Compare 67 and 48
  Swap 67 and 48
  List after swap: [-79, 33, -99, 48, 67, -83, -31, -64, 75, 83]
  Compare 67 and -83
  Swap 67 and -83
  List after swap: [-79, 33, -99, 48, -83, 67, -31, -64, 75, 83]
  Compare 67 and -31
  Swap 67 and -31
  List after swap: [-79, 33, -99, 48, -83, -31, 67, -64, 75, 83]
  Compare 67 and -64
  Swap 67 and -64
  List after swap: [-79, 33, -99, 48, -83, -31, -64, 67, 75, 83]
  Compare 67 and 75
  No swap needed

Pass 3:
  Compare -79 and 33
  No swap needed
  Compare 33 and -99
  Swap 33 and -99
  List after swap: [-79, -99, 33, 48, -83, -31, -64, 67, 75, 83]
  Compare 33 and 48
  No swap needed
  Compare 48 and -83
  Swap 48 and -83
  List after swap: [-79, -99, 33, -83, 48, -31, -64, 67, 75, 83]
  Compare 48 and -31
  Swap 48 and -31
  List after swap: [-79, -99, 33, -83, -31, 48, -64, 67, 75, 83]
  Compare 48 and -64
  Swap 48 and -64
  List after swap: [-79, -99, 33, -83, -31, -64, 48, 67, 75, 83]
  Compare 48 and 67
  No swap needed

Pass 4:
  Compare -79 and -99
  Swap -79 and -99
  List after swap: [-99, -79, 33, -83, -31, -64, 48, 67, 75, 83]
  Compare -79 and 33
  No swap needed
  Compare 33 and -83
  Swap 33 and -83
  List after swap: [-99, -79, -83, 33, -31, -64, 48, 67, 75, 83]
  Compare 33 and -31
  Swap 33 and -31
  List after swap: [-99, -79, -83, -31, 33, -64, 48, 67, 75, 83]
  Compare 33 and -64
  Swap 33 and -64
  List after swap: [-99, -79, -83, -31, -64, 33, 48, 67, 75, 83]
  Compare 33 and 48
  No swap needed

Pass 5:
  Compare -99 and -79
  No swap needed
  Compare -79 and -83
  Swap -79 and -83
  List after swap: [-99, -83, -79, -31, -64, 33, 48, 67, 75, 83]
  Compare -79 and -31
  No swap needed
  Compare -31 and -64
  Swap -31 and -64
  List after swap: [-99, -83, -79, -64, -31, 33, 48, 67, 75, 83]
  Compare -31 and 33
  No swap needed

Pass 6:
  Compare -99 and -83
  No swap needed
  Compare -83 and -79
  No swap needed
  Compare -79 and -64
  No swap needed
  Compare -64 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -83, -79, -64, -31, 33, 48, 67, 75, 83]
</think>

<response>-99, -83, -79, -64, -31, 33, 48, 67, 75, 83</response>


input: Perform a bubble sort on the integers 95, -22, -88, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [95, -22, -88]

Pass 1:
  Compare 95 and -22
  Swap 95 and -22
  List after swap: [-22, 95, -88]
  Compare 95 and -88
  Swap 95 and -88
  List after swap: [-22, -88, 95]

Pass 2:
  Compare -22 and -88
  Swap -22 and -88
  List after swap: [-88, -22, 95]

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

Final sorted list: [-88, -22, 95]
</think>

<response>-88, -22, 95</response>


input: Demonstrate how bubble sort orders the integers 44, -90, 84, 31, -92, -33, 16 in ascending sequence, showing all steps.

output:
<think>
Initial list: [44, -90, 84, 31, -92, -33, 16]

Pass 1:
  Compare 44 and -90
  Swap 44 and -90
  List after swap: [-90, 44, 84, 31, -92, -33, 16]
  Compare 44 and 84
  No swap needed
  Compare 84 and 31
  Swap 84 and 31
  List after swap: [-90, 44, 31, 84, -92, -33, 16]
  Compare 84 and -92
  Swap 84 and -92
  List after swap: [-90, 44, 31, -92, 84, -33, 16]
  Compare 84 and -33
  Swap 84 and -33
  List after swap: [-90, 44, 31, -92, -33, 84, 16]
  Compare 84 and 16
  Swap 84 and 16
  List after swap: [-90, 44, 31, -92, -33, 16, 84]

Pass 2:
  Compare -90 and 44
  No swap needed
  Compare 44 and 31
  Swap 44 and 31
  List after swap: [-90, 31, 44, -92, -33, 16, 84]
  Compare 44 and -92
  Swap 44 and -92
  List after swap: [-90, 31, -92, 44, -33, 16, 84]
  Compare 44 and -33
  Swap 44 and -33
  List after swap: [-90, 31, -92, -33, 44, 16, 84]
  Compare 44 and 16
  Swap 44 and 16
  List after swap: [-90, 31, -92, -33, 16, 44, 84]

Pass 3:
  Compare -90 and 31
  No swap needed
  Compare 31 and -92
  Swap 31 and -92
  List after swap: [-90, -92, 31, -33, 16, 44, 84]
  Compare 31 and -33
  Swap 31 and -33
  List after swap: [-90, -92, -33, 31, 16, 44, 84]
  Compare 31 and 16
  Swap 31 and 16
  List after swap: [-90, -92, -33, 16, 31, 44, 84]

Pass 4:
  Compare -90 and -92
  Swap -90 and -92
  List after swap: [-92, -90, -33, 16, 31, 44, 84]
  Compare -90 and -33
  No swap needed
  Compare -33 and 16
  No swap needed

Pass 5:
  Compare -92 and -90
  No swap needed
  Compare -90 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -90, -33, 16, 31, 44, 84]
</think>

<response>-92, -90, -33, 16, 31, 44, 84</response>


input: Carry out the bubble sort algorithm on -67, 41, -81, -55, -6, 44, -94, 40, 12, 66 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-67, 41, -81, -55, -6, 44, -94, 40, 12, 66]

Pass 1:
  Compare -67 and 41
  No swap needed
  Compare 41 and -81
  Swap 41 and -81
  List after swap: [-67, -81, 41, -55, -6, 44, -94, 40, 12, 66]
  Compare 41 and -55
  Swap 41 and -55
  List after swap: [-67, -81, -55, 41, -6, 44, -94, 40, 12, 66]
  Compare 41 and -6
  Swap 41 and -6
  List after swap: [-67, -81, -55, -6, 41, 44, -94, 40, 12, 66]
  Compare 41 and 44
  No swap needed
  Compare 44 and -94
  Swap 44 and -94
  List after swap: [-67, -81, -55, -6, 41, -94, 44, 40, 12, 66]
  Compare 44 and 40
  Swap 44 and 40
  List after swap: [-67, -81, -55, -6, 41, -94, 40, 44, 12, 66]
  Compare 44 and 12
  Swap 44 and 12
  List after swap: [-67, -81, -55, -6, 41, -94, 40, 12, 44, 66]
  Compare 44 and 66
  No swap needed

Pass 2:
  Compare -67 and -81
  Swap -67 and -81
  List after swap: [-81, -67, -55, -6, 41, -94, 40, 12, 44, 66]
  Compare -67 and -55
  No swap needed
  Compare -55 and -6
  No swap needed
  Compare -6 and 41
  No swap needed
  Compare 41 and -94
  Swap 41 and -94
  List after swap: [-81, -67, -55, -6, -94, 41, 40, 12, 44, 66]
  Compare 41 and 40
  Swap 41 and 40
  List after swap: [-81, -67, -55, -6, -94, 40, 41, 12, 44, 66]
  Compare 41 and 12
  Swap 41 and 12
  List after swap: [-81, -67, -55, -6, -94, 40, 12, 41, 44, 66]
  Compare 41 and 44
  No swap needed

Pass 3:
  Compare -81 and -67
  No swap needed
  Compare -67 and -55
  No swap needed
  Compare -55 and -6
  No swap needed
  Compare -6 and -94
  Swap -6 and -94
  List after swap: [-81, -67, -55, -94, -6, 40, 12, 41, 44, 66]
  Compare -6 and 40
  No swap needed
  Compare 40 and 12
  Swap 40 and 12
  List after swap: [-81, -67, -55, -94, -6, 12, 40, 41, 44, 66]
  Compare 40 and 41
  No swap needed

Pass 4:
  Compare -81 and -67
  No swap needed
  Compare -67 and -55
  No swap needed
  Compare -55 and -94
  Swap -55 and -94
  List after swap: [-81, -67, -94, -55, -6, 12, 40, 41, 44, 66]
  Compare -55 and -6
  No swap needed
  Compare -6 and 12
  No swap needed
  Compare 12 and 40
  No swap needed

Pass 5:
  Compare -81 and -67
  No swap needed
  Compare -67 and -94
  Swap -67 and -94
  List after swap: [-81, -94, -67, -55, -6, 12, 40, 41, 44, 66]
  Compare -67 and -55
  No swap needed
  Compare -55 and -6
  No swap needed
  Compare -6 and 12
  No swap needed

Pass 6:
  Compare -81 and -94
  Swap -81 and -94
  List after swap: [-94, -81, -67, -55, -6, 12, 40, 41, 44, 66]
  Compare -81 and -67
  No swap needed
  Compare -67 and -55
  No swap needed
  Compare -55 and -6
  No swap needed

Pass 7:
  Compare -94 and -81
  No swap needed
  Compare -81 and -67
  No swap needed
  Compare -67 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -81, -67, -55, -6, 12, 40, 41, 44, 66]
</think>

<response>-94, -81, -67, -55, -6, 12, 40, 41, 44, 66</response>


input: Implement bubble sort on 86, 91, 90, 70, -58, 30, 39, 7, 74 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [86, 91, 90, 70, -58, 30, 39, 7, 74]

Pass 1:
  Compare 86 and 91
  No swap needed
  Compare 91 and 90
  Swap 91 and 90
  List after swap: [86, 90, 91, 70, -58, 30, 39, 7, 74]
  Compare 91 and 70
  Swap 91 and 70
  List after swap: [86, 90, 70, 91, -58, 30, 39, 7, 74]
  Compare 91 and -58
  Swap 91 and -58
  List after swap: [86, 90, 70, -58, 91, 30, 39, 7, 74]
  Compare 91 and 30
  Swap 91 and 30
  List after swap: [86, 90, 70, -58, 30, 91, 39, 7, 74]
  Compare 91 and 39
  Swap 91 and 39
  List after swap: [86, 90, 70, -58, 30, 39, 91, 7, 74]
  Compare 91 and 7
  Swap 91 and 7
  List after swap: [86, 90, 70, -58, 30, 39, 7, 91, 74]
  Compare 91 and 74
  Swap 91 and 74
  List after swap: [86, 90, 70, -58, 30, 39, 7, 74, 91]

Pass 2:
  Compare 86 and 90
  No swap needed
  Compare 90 and 70
  Swap 90 and 70
  List after swap: [86, 70, 90, -58, 30, 39, 7, 74, 91]
  Compare 90 and -58
  Swap 90 and -58
  List after swap: [86, 70, -58, 90, 30, 39, 7, 74, 91]
  Compare 90 and 30
  Swap 90 and 30
  List after swap: [86, 70, -58, 30, 90, 39, 7, 74, 91]
  Compare 90 and 39
  Swap 90 and 39
  List after swap: [86, 70, -58, 30, 39, 90, 7, 74, 91]
  Compare 90 and 7
  Swap 90 and 7
  List after swap: [86, 70, -58, 30, 39, 7, 90, 74, 91]
  Compare 90 and 74
  Swap 90 and 74
  List after swap: [86, 70, -58, 30, 39, 7, 74, 90, 91]

Pass 3:
  Compare 86 and 70
  Swap 86 and 70
  List after swap: [70, 86, -58, 30, 39, 7, 74, 90, 91]
  Compare 86 and -58
  Swap 86 and -58
  List after swap: [70, -58, 86, 30, 39, 7, 74, 90, 91]
  Compare 86 and 30
  Swap 86 and 30
  List after swap: [70, -58, 30, 86, 39, 7, 74, 90, 91]
  Compare 86 and 39
  Swap 86 and 39
  List after swap: [70, -58, 30, 39, 86, 7, 74, 90, 91]
  Compare 86 and 7
  Swap 86 and 7
  List after swap: [70, -58, 30, 39, 7, 86, 74, 90, 91]
  Compare 86 and 74
  Swap 86 and 74
  List after swap: [70, -58, 30, 39, 7, 74, 86, 90, 91]

Pass 4:
  Compare 70 and -58
  Swap 70 and -58
  List after swap: [-58, 70, 30, 39, 7, 74, 86, 90, 91]
  Compare 70 and 30
  Swap 70 and 30
  List after swap: [-58, 30, 70, 39, 7, 74, 86, 90, 91]
  Compare 70 and 39
  Swap 70 and 39
  List after swap: [-58, 30, 39, 70, 7, 74, 86, 90, 91]
  Compare 70 and 7
  Swap 70 and 7
  List after swap: [-58, 30, 39, 7, 70, 74, 86, 90, 91]
  Compare 70 and 74
  No swap needed

Pass 5:
  Compare -58 and 30
  No swap needed
  Compare 30 and 39
  No swap needed
  Compare 39 and 7
  Swap 39 and 7
  List after swap: [-58, 30, 7, 39, 70, 74, 86, 90, 91]
  Compare 39 and 70
  No swap needed

Pass 6:
  Compare -58 and 30
  No swap needed
  Compare 30 and 7
  Swap 30 and 7
  List after swap: [-58, 7, 30, 39, 70, 74, 86, 90, 91]
  Compare 30 and 39
  No swap needed

Pass 7:
  Compare -58 and 7
  No swap needed
  Compare 7 and 30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, 7, 30, 39, 70, 74, 86, 90, 91]
</think>

<response>-58, 7, 30, 39, 70, 74, 86, 90, 91</response>


input: Using the bubble sort method, sort 59, 58, -89, -51, -30, -68 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [59, 58, -89, -51, -30, -68]

Pass 1:
  Compare 59 and 58
  Swap 59 and 58
  List after swap: [58, 59, -89, -51, -30, -68]
  Compare 59 and -89
  Swap 59 and -89
  List after swap: [58, -89, 59, -51, -30, -68]
  Compare 59 and -51
  Swap 59 and -51
  List after swap: [58, -89, -51, 59, -30, -68]
  Compare 59 and -30
  Swap 59 and -30
  List after swap: [58, -89, -51, -30, 59, -68]
  Compare 59 and -68
  Swap 59 and -68
  List after swap: [58, -89, -51, -30, -68, 59]

Pass 2:
  Compare 58 and -89
  Swap 58 and -89
  List after swap: [-89, 58, -51, -30, -68, 59]
  Compare 58 and -51
  Swap 58 and -51
  List after swap: [-89, -51, 58, -30, -68, 59]
  Compare 58 and -30
  Swap 58 and -30
  List after swap: [-89, -51, -30, 58, -68, 59]
  Compare 58 and -68
  Swap 58 and -68
  List after swap: [-89, -51, -30, -68, 58, 59]

Pass 3:
  Compare -89 and -51
  No swap needed
  Compare -51 and -30
  No swap needed
  Compare -30 and -68
  Swap -30 and -68
  List after swap: [-89, -51, -68, -30, 58, 59]

Pass 4:
  Compare -89 and -51
  No swap needed
  Compare -51 and -68
  Swap -51 and -68
  List after swap: [-89, -68, -51, -30, 58, 59]

Pass 5:
  Compare -89 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -68, -51, -30, 58, 59]
</think>

<response>-89, -68, -51, -30, 58, 59</response>


input: Carry out the bubble sort algorithm on -21, -32, -67, -100, 93 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-21, -32, -67, -100, 93]

Pass 1:
  Compare -21 and -32
  Swap -21 and -32
  List after swap: [-32, -21, -67, -100, 93]
  Compare -21 and -67
  Swap -21 and -67
  List after swap: [-32, -67, -21, -100, 93]
  Compare -21 and -100
  Swap -21 and -100
  List after swap: [-32, -67, -100, -21, 93]
  Compare -21 and 93
  No swap needed

Pass 2:
  Compare -32 and -67
  Swap -32 and -67
  List after swap: [-67, -32, -100, -21, 93]
  Compare -32 and -100
  Swap -32 and -100
  List after swap: [-67, -100, -32, -21, 93]
  Compare -32 and -21
  No swap needed

Pass 3:
  Compare -67 and -100
  Swap -67 and -100
  List after swap: [-100, -67, -32, -21, 93]
  Compare -67 and -32
  No swap needed

Pass 4:
  Compare -100 and -67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -67, -32, -21, 93]
</think>

<response>-100, -67, -32, -21, 93</response>


input: Arrange the numbers 60, 30, -88, -32, -45, -72, 98, -17, 66 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [60, 30, -88, -32, -45, -72, 98, -17, 66]

Pass 1:
  Compare 60 and 30
  Swap 60 and 30
  List after swap: [30, 60, -88, -32, -45, -72, 98, -17, 66]
  Compare 60 and -88
  Swap 60 and -88
  List after swap: [30, -88, 60, -32, -45, -72, 98, -17, 66]
  Compare 60 and -32
  Swap 60 and -32
  List after swap: [30, -88, -32, 60, -45, -72, 98, -17, 66]
  Compare 60 and -45
  Swap 60 and -45
  List after swap: [30, -88, -32, -45, 60, -72, 98, -17, 66]
  Compare 60 and -72
  Swap 60 and -72
  List after swap: [30, -88, -32, -45, -72, 60, 98, -17, 66]
  Compare 60 and 98
  No swap needed
  Compare 98 and -17
  Swap 98 and -17
  List after swap: [30, -88, -32, -45, -72, 60, -17, 98, 66]
  Compare 98 and 66
  Swap 98 and 66
  List after swap: [30, -88, -32, -45, -72, 60, -17, 66, 98]

Pass 2:
  Compare 30 and -88
  Swap 30 and -88
  List after swap: [-88, 30, -32, -45, -72, 60, -17, 66, 98]
  Compare 30 and -32
  Swap 30 and -32
  List after swap: [-88, -32, 30, -45, -72, 60, -17, 66, 98]
  Compare 30 and -45
  Swap 30 and -45
  List after swap: [-88, -32, -45, 30, -72, 60, -17, 66, 98]
  Compare 30 and -72
  Swap 30 and -72
  List after swap: [-88, -32, -45, -72, 30, 60, -17, 66, 98]
  Compare 30 and 60
  No swap needed
  Compare 60 and -17
  Swap 60 and -17
  List after swap: [-88, -32, -45, -72, 30, -17, 60, 66, 98]
  Compare 60 and 66
  No swap needed

Pass 3:
  Compare -88 and -32
  No swap needed
  Compare -32 and -45
  Swap -32 and -45
  List after swap: [-88, -45, -32, -72, 30, -17, 60, 66, 98]
  Compare -32 and -72
  Swap -32 and -72
  List after swap: [-88, -45, -72, -32, 30, -17, 60, 66, 98]
  Compare -32 and 30
  No swap needed
  Compare 30 and -17
  Swap 30 and -17
  List after swap: [-88, -45, -72, -32, -17, 30, 60, 66, 98]
  Compare 30 and 60
  No swap needed

Pass 4:
  Compare -88 and -45
  No swap needed
  Compare -45 and -72
  Swap -45 and -72
  List after swap: [-88, -72, -45, -32, -17, 30, 60, 66, 98]
  Compare -45 and -32
  No swap needed
  Compare -32 and -17
  No swap needed
  Compare -17 and 30
  No swap needed

Pass 5:
  Compare -88 and -72
  No swap needed
  Compare -72 and -45
  No swap needed
  Compare -45 and -32
  No swap needed
  Compare -32 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -72, -45, -32, -17, 30, 60, 66, 98]
</think>

<response>-88, -72, -45, -32, -17, 30, 60, 66, 98</response>


input: Execute bubble sort to sort 95, -73, -20, 46 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [95, -73, -20, 46]

Pass 1:
  Compare 95 and -73
  Swap 95 and -73
  List after swap: [-73, 95, -20, 46]
  Compare 95 and -20
  Swap 95 and -20
  List after swap: [-73, -20, 95, 46]
  Compare 95 and 46
  Swap 95 and 46
  List after swap: [-73, -20, 46, 95]

Pass 2:
  Compare -73 and -20
  No swap needed
  Compare -20 and 46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -20, 46, 95]
</think>

<response>-73, -20, 46, 95</response>


input: Sort these integers -54, 53, 78, -52, 81, -22, -35, -3, 29 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-54, 53, 78, -52, 81, -22, -35, -3, 29]

Pass 1:
  Compare -54 and 53
  No swap needed
  Compare 53 and 78
  No swap needed
  Compare 78 and -52
  Swap 78 and -52
  List after swap: [-54, 53, -52, 78, 81, -22, -35, -3, 29]
  Compare 78 and 81
  No swap needed
  Compare 81 and -22
  Swap 81 and -22
  List after swap: [-54, 53, -52, 78, -22, 81, -35, -3, 29]
  Compare 81 and -35
  Swap 81 and -35
  List after swap: [-54, 53, -52, 78, -22, -35, 81, -3, 29]
  Compare 81 and -3
  Swap 81 and -3
  List after swap: [-54, 53, -52, 78, -22, -35, -3, 81, 29]
  Compare 81 and 29
  Swap 81 and 29
  List after swap: [-54, 53, -52, 78, -22, -35, -3, 29, 81]

Pass 2:
  Compare -54 and 53
  No swap needed
  Compare 53 and -52
  Swap 53 and -52
  List after swap: [-54, -52, 53, 78, -22, -35, -3, 29, 81]
  Compare 53 and 78
  No swap needed
  Compare 78 and -22
  Swap 78 and -22
  List after swap: [-54, -52, 53, -22, 78, -35, -3, 29, 81]
  Compare 78 and -35
  Swap 78 and -35
  List after swap: [-54, -52, 53, -22, -35, 78, -3, 29, 81]
  Compare 78 and -3
  Swap 78 and -3
  List after swap: [-54, -52, 53, -22, -35, -3, 78, 29, 81]
  Compare 78 and 29
  Swap 78 and 29
  List after swap: [-54, -52, 53, -22, -35, -3, 29, 78, 81]

Pass 3:
  Compare -54 and -52
  No swap needed
  Compare -52 and 53
  No swap needed
  Compare 53 and -22
  Swap 53 and -22
  List after swap: [-54, -52, -22, 53, -35, -3, 29, 78, 81]
  Compare 53 and -35
  Swap 53 and -35
  List after swap: [-54, -52, -22, -35, 53, -3, 29, 78, 81]
  Compare 53 and -3
  Swap 53 and -3
  List after swap: [-54, -52, -22, -35, -3, 53, 29, 78, 81]
  Compare 53 and 29
  Swap 53 and 29
  List after swap: [-54, -52, -22, -35, -3, 29, 53, 78, 81]

Pass 4:
  Compare -54 and -52
  No swap needed
  Compare -52 and -22
  No swap needed
  Compare -22 and -35
  Swap -22 and -35
  List after swap: [-54, -52, -35, -22, -3, 29, 53, 78, 81]
  Compare -22 and -3
  No swap needed
  Compare -3 and 29
  No swap needed

Pass 5:
  Compare -54 and -52
  No swap needed
  Compare -52 and -35
  No swap needed
  Compare -35 and -22
  No swap needed
  Compare -22 and -3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-54, -52, -35, -22, -3, 29, 53, 78, 81]
</think>

<response>-54, -52, -35, -22, -3, 29, 53, 78, 81</response>


input: Use the bubble sort technique to reorder 33, 81, -17, 24, 56, 48, -66, -7, -15, -21 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [33, 81, -17, 24, 56, 48, -66, -7, -15, -21]

Pass 1:
  Compare 33 and 81
  No swap needed
  Compare 81 and -17
  Swap 81 and -17
  List after swap: [33, -17, 81, 24, 56, 48, -66, -7, -15, -21]
  Compare 81 and 24
  Swap 81 and 24
  List after swap: [33, -17, 24, 81, 56, 48, -66, -7, -15, -21]
  Compare 81 and 56
  Swap 81 and 56
  List after swap: [33, -17, 24, 56, 81, 48, -66, -7, -15, -21]
  Compare 81 and 48
  Swap 81 and 48
  List after swap: [33, -17, 24, 56, 48, 81, -66, -7, -15, -21]
  Compare 81 and -66
  Swap 81 and -66
  List after swap: [33, -17, 24, 56, 48, -66, 81, -7, -15, -21]
  Compare 81 and -7
  Swap 81 and -7
  List after swap: [33, -17, 24, 56, 48, -66, -7, 81, -15, -21]
  Compare 81 and -15
  Swap 81 and -15
  List after swap: [33, -17, 24, 56, 48, -66, -7, -15, 81, -21]
  Compare 81 and -21
  Swap 81 and -21
  List after swap: [33, -17, 24, 56, 48, -66, -7, -15, -21, 81]

Pass 2:
  Compare 33 and -17
  Swap 33 and -17
  List after swap: [-17, 33, 24, 56, 48, -66, -7, -15, -21, 81]
  Compare 33 and 24
  Swap 33 and 24
  List after swap: [-17, 24, 33, 56, 48, -66, -7, -15, -21, 81]
  Compare 33 and 56
  No swap needed
  Compare 56 and 48
  Swap 56 and 48
  List after swap: [-17, 24, 33, 48, 56, -66, -7, -15, -21, 81]
  Compare 56 and -66
  Swap 56 and -66
  List after swap: [-17, 24, 33, 48, -66, 56, -7, -15, -21, 81]
  Compare 56 and -7
  Swap 56 and -7
  List after swap: [-17, 24, 33, 48, -66, -7, 56, -15, -21, 81]
  Compare 56 and -15
  Swap 56 and -15
  List after swap: [-17, 24, 33, 48, -66, -7, -15, 56, -21, 81]
  Compare 56 and -21
  Swap 56 and -21
  List after swap: [-17, 24, 33, 48, -66, -7, -15, -21, 56, 81]

Pass 3:
  Compare -17 and 24
  No swap needed
  Compare 24 and 33
  No swap needed
  Compare 33 and 48
  No swap needed
  Compare 48 and -66
  Swap 48 and -66
  List after swap: [-17, 24, 33, -66, 48, -7, -15, -21, 56, 81]
  Compare 48 and -7
  Swap 48 and -7
  List after swap: [-17, 24, 33, -66, -7, 48, -15, -21, 56, 81]
  Compare 48 and -15
  Swap 48 and -15
  List after swap: [-17, 24, 33, -66, -7, -15, 48, -21, 56, 81]
  Compare 48 and -21
  Swap 48 and -21
  List after swap: [-17, 24, 33, -66, -7, -15, -21, 48, 56, 81]

Pass 4:
  Compare -17 and 24
  No swap needed
  Compare 24 and 33
  No swap needed
  Compare 33 and -66
  Swap 33 and -66
  List after swap: [-17, 24, -66, 33, -7, -15, -21, 48, 56, 81]
  Compare 33 and -7
  Swap 33 and -7
  List after swap: [-17, 24, -66, -7, 33, -15, -21, 48, 56, 81]
  Compare 33 and -15
  Swap 33 and -15
  List after swap: [-17, 24, -66, -7, -15, 33, -21, 48, 56, 81]
  Compare 33 and -21
  Swap 33 and -21
  List after swap: [-17, 24, -66, -7, -15, -21, 33, 48, 56, 81]

Pass 5:
  Compare -17 and 24
  No swap needed
  Compare 24 and -66
  Swap 24 and -66
  List after swap: [-17, -66, 24, -7, -15, -21, 33, 48, 56, 81]
  Compare 24 and -7
  Swap 24 and -7
  List after swap: [-17, -66, -7, 24, -15, -21, 33, 48, 56, 81]
  Compare 24 and -15
  Swap 24 and -15
  List after swap: [-17, -66, -7, -15, 24, -21, 33, 48, 56, 81]
  Compare 24 and -21
  Swap 24 and -21
  List after swap: [-17, -66, -7, -15, -21, 24, 33, 48, 56, 81]

Pass 6:
  Compare -17 and -66
  Swap -17 and -66
  List after swap: [-66, -17, -7, -15, -21, 24, 33, 48, 56, 81]
  Compare -17 and -7
  No swap needed
  Compare -7 and -15
  Swap -7 and -15
  List after swap: [-66, -17, -15, -7, -21, 24, 33, 48, 56, 81]
  Compare -7 and -21
  Swap -7 and -21
  List after swap: [-66, -17, -15, -21, -7, 24, 33, 48, 56, 81]

Pass 7:
  Compare -66 and -17
  No swap needed
  Compare -17 and -15
  No swap needed
  Compare -15 and -21
  Swap -15 and -21
  List after swap: [-66, -17, -21, -15, -7, 24, 33, 48, 56, 81]

Pass 8:
  Compare -66 and -17
  No swap needed
  Compare -17 and -21
  Swap -17 and -21
  List after swap: [-66, -21, -17, -15, -7, 24, 33, 48, 56, 81]

Pass 9:
  Compare -66 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -21, -17, -15, -7, 24, 33, 48, 56, 81]
</think>

<response>-66, -21, -17, -15, -7, 24, 33, 48, 56, 81</response>


input: Arrange the numbers -36, -56, 54, -76, 27, 35, 19, 34, -22, -48 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-36, -56, 54, -76, 27, 35, 19, 34, -22, -48]

Pass 1:
  Compare -36 and -56
  Swap -36 and -56
  List after swap: [-56, -36, 54, -76, 27, 35, 19, 34, -22, -48]
  Compare -36 and 54
  No swap needed
  Compare 54 and -76
  Swap 54 and -76
  List after swap: [-56, -36, -76, 54, 27, 35, 19, 34, -22, -48]
  Compare 54 and 27
  Swap 54 and 27
  List after swap: [-56, -36, -76, 27, 54, 35, 19, 34, -22, -48]
  Compare 54 and 35
  Swap 54 and 35
  List after swap: [-56, -36, -76, 27, 35, 54, 19, 34, -22, -48]
  Compare 54 and 19
  Swap 54 and 19
  List after swap: [-56, -36, -76, 27, 35, 19, 54, 34, -22, -48]
  Compare 54 and 34
  Swap 54 and 34
  List after swap: [-56, -36, -76, 27, 35, 19, 34, 54, -22, -48]
  Compare 54 and -22
  Swap 54 and -22
  List after swap: [-56, -36, -76, 27, 35, 19, 34, -22, 54, -48]
  Compare 54 and -48
  Swap 54 and -48
  List after swap: [-56, -36, -76, 27, 35, 19, 34, -22, -48, 54]

Pass 2:
  Compare -56 and -36
  No swap needed
  Compare -36 and -76
  Swap -36 and -76
  List after swap: [-56, -76, -36, 27, 35, 19, 34, -22, -48, 54]
  Compare -36 and 27
  No swap needed
  Compare 27 and 35
  No swap needed
  Compare 35 and 19
  Swap 35 and 19
  List after swap: [-56, -76, -36, 27, 19, 35, 34, -22, -48, 54]
  Compare 35 and 34
  Swap 35 and 34
  List after swap: [-56, -76, -36, 27, 19, 34, 35, -22, -48, 54]
  Compare 35 and -22
  Swap 35 and -22
  List after swap: [-56, -76, -36, 27, 19, 34, -22, 35, -48, 54]
  Compare 35 and -48
  Swap 35 and -48
  List after swap: [-56, -76, -36, 27, 19, 34, -22, -48, 35, 54]

Pass 3:
  Compare -56 and -76
  Swap -56 and -76
  List after swap: [-76, -56, -36, 27, 19, 34, -22, -48, 35, 54]
  Compare -56 and -36
  No swap needed
  Compare -36 and 27
  No swap needed
  Compare 27 and 19
  Swap 27 and 19
  List after swap: [-76, -56, -36, 19, 27, 34, -22, -48, 35, 54]
  Compare 27 and 34
  No swap needed
  Compare 34 and -22
  Swap 34 and -22
  List after swap: [-76, -56, -36, 19, 27, -22, 34, -48, 35, 54]
  Compare 34 and -48
  Swap 34 and -48
  List after swap: [-76, -56, -36, 19, 27, -22, -48, 34, 35, 54]

Pass 4:
  Compare -76 and -56
  No swap needed
  Compare -56 and -36
  No swap needed
  Compare -36 and 19
  No swap needed
  Compare 19 and 27
  No swap needed
  Compare 27 and -22
  Swap 27 and -22
  List after swap: [-76, -56, -36, 19, -22, 27, -48, 34, 35, 54]
  Compare 27 and -48
  Swap 27 and -48
  List after swap: [-76, -56, -36, 19, -22, -48, 27, 34, 35, 54]

Pass 5:
  Compare -76 and -56
  No swap needed
  Compare -56 and -36
  No swap needed
  Compare -36 and 19
  No swap needed
  Compare 19 and -22
  Swap 19 and -22
  List after swap: [-76, -56, -36, -22, 19, -48, 27, 34, 35, 54]
  Compare 19 and -48
  Swap 19 and -48
  List after swap: [-76, -56, -36, -22, -48, 19, 27, 34, 35, 54]

Pass 6:
  Compare -76 and -56
  No swap needed
  Compare -56 and -36
  No swap needed
  Compare -36 and -22
  No swap needed
  Compare -22 and -48
  Swap -22 and -48
  List after swap: [-76, -56, -36, -48, -22, 19, 27, 34, 35, 54]

Pass 7:
  Compare -76 and -56
  No swap needed
  Compare -56 and -36
  No swap needed
  Compare -36 and -48
  Swap -36 and -48
  List after swap: [-76, -56, -48, -36, -22, 19, 27, 34, 35, 54]

Pass 8:
  Compare -76 and -56
  No swap needed
  Compare -56 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -56, -48, -36, -22, 19, 27, 34, 35, 54]
</think>

<response>-76, -56, -48, -36, -22, 19, 27, 34, 35, 54</response>


input: Sort the list 89, 7, 67, 70 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [89, 7, 67, 70]

Pass 1:
  Compare 89 and 7
  Swap 89 and 7
  List after swap: [7, 89, 67, 70]
  Compare 89 and 67
  Swap 89 and 67
  List after swap: [7, 67, 89, 70]
  Compare 89 and 70
  Swap 89 and 70
  List after swap: [7, 67, 70, 89]

Pass 2:
  Compare 7 and 67
  No swap needed
  Compare 67 and 70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [7, 67, 70, 89]
</think>

<response>7, 67, 70, 89</response>


input: Use the bubble sort technique to reorder -30, -14, -32, 38, -95 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-30, -14, -32, 38, -95]

Pass 1:
  Compare -30 and -14
  No swap needed
  Compare -14 and -32
  Swap -14 and -32
  List after swap: [-30, -32, -14, 38, -95]
  Compare -14 and 38
  No swap needed
  Compare 38 and -95
  Swap 38 and -95
  List after swap: [-30, -32, -14, -95, 38]

Pass 2:
  Compare -30 and -32
  Swap -30 and -32
  List after swap: [-32, -30, -14, -95, 38]
  Compare -30 and -14
  No swap needed
  Compare -14 and -95
  Swap -14 and -95
  List after swap: [-32, -30, -95, -14, 38]

Pass 3:
  Compare -32 and -30
  No swap needed
  Compare -30 and -95
  Swap -30 and -95
  List after swap: [-32, -95, -30, -14, 38]

Pass 4:
  Compare -32 and -95
  Swap -32 and -95
  List after swap: [-95, -32, -30, -14, 38]

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

Final sorted list: [-95, -32, -30, -14, 38]
</think>

<response>-95, -32, -30, -14, 38</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -79, 41, 42, -100.

output:
<think>
Initial list: [-79, 41, 42, -100]

Pass 1:
  Compare -79 and 41
  No swap needed
  Compare 41 and 42
  No swap needed
  Compare 42 and -100
  Swap 42 and -100
  List after swap: [-79, 41, -100, 42]

Pass 2:
  Compare -79 and 41
  No swap needed
  Compare 41 and -100
  Swap 41 and -100
  List after swap: [-79, -100, 41, 42]

Pass 3:
  Compare -79 and -100
  Swap -79 and -100
  List after swap: [-100, -79, 41, 42]

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

Final sorted list: [-100, -79, 41, 42]
</think>

<response>-100, -79, 41, 42</response>


input: Sort these integers 50, -26 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [50, -26]

Pass 1:
  Compare 50 and -26
  Swap 50 and -26
  List after swap: [-26, 50]

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

Final sorted list: [-26, 50]
</think>

<response>-26, 50</response>


input: Sort these integers -23, 8, -61 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-23, 8, -61]

Pass 1:
  Compare -23 and 8
  No swap needed
  Compare 8 and -61
  Swap 8 and -61
  List after swap: [-23, -61, 8]

Pass 2:
  Compare -23 and -61
  Swap -23 and -61
  List after swap: [-61, -23, 8]

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

Final sorted list: [-61, -23, 8]
</think>

<response>-61, -23, 8</response>


input: Execute bubble sort to sort 87, 76, -82, 63, -80 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [87, 76, -82, 63, -80]

Pass 1:
  Compare 87 and 76
  Swap 87 and 76
  List after swap: [76, 87, -82, 63, -80]
  Compare 87 and -82
  Swap 87 and -82
  List after swap: [76, -82, 87, 63, -80]
  Compare 87 and 63
  Swap 87 and 63
  List after swap: [76, -82, 63, 87, -80]
  Compare 87 and -80
  Swap 87 and -80
  List after swap: [76, -82, 63, -80, 87]

Pass 2:
  Compare 76 and -82
  Swap 76 and -82
  List after swap: [-82, 76, 63, -80, 87]
  Compare 76 and 63
  Swap 76 and 63
  List after swap: [-82, 63, 76, -80, 87]
  Compare 76 and -80
  Swap 76 and -80
  List after swap: [-82, 63, -80, 76, 87]

Pass 3:
  Compare -82 and 63
  No swap needed
  Compare 63 and -80
  Swap 63 and -80
  List after swap: [-82, -80, 63, 76, 87]

Pass 4:
  Compare -82 and -80
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -80, 63, 76, 87]
</think>

<response>-82, -80, 63, 76, 87</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -77, 18.

output:
<think>
Initial list: [-77, 18]

Pass 1:
  Compare -77 and 18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, 18]
</think>

<response>-77, 18</response>


input: Carry out the bubble sort algorithm on -1, -23, 3, -99, -13, 57, -100 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-1, -23, 3, -99, -13, 57, -100]

Pass 1:
  Compare -1 and -23
  Swap -1 and -23
  List after swap: [-23, -1, 3, -99, -13, 57, -100]
  Compare -1 and 3
  No swap needed
  Compare 3 and -99
  Swap 3 and -99
  List after swap: [-23, -1, -99, 3, -13, 57, -100]
  Compare 3 and -13
  Swap 3 and -13
  List after swap: [-23, -1, -99, -13, 3, 57, -100]
  Compare 3 and 57
  No swap needed
  Compare 57 and -100
  Swap 57 and -100
  List after swap: [-23, -1, -99, -13, 3, -100, 57]

Pass 2:
  Compare -23 and -1
  No swap needed
  Compare -1 and -99
  Swap -1 and -99
  List after swap: [-23, -99, -1, -13, 3, -100, 57]
  Compare -1 and -13
  Swap -1 and -13
  List after swap: [-23, -99, -13, -1, 3, -100, 57]
  Compare -1 and 3
  No swap needed
  Compare 3 and -100
  Swap 3 and -100
  List after swap: [-23, -99, -13, -1, -100, 3, 57]

Pass 3:
  Compare -23 and -99
  Swap -23 and -99
  List after swap: [-99, -23, -13, -1, -100, 3, 57]
  Compare -23 and -13
  No swap needed
  Compare -13 and -1
  No swap needed
  Compare -1 and -100
  Swap -1 and -100
  List after swap: [-99, -23, -13, -100, -1, 3, 57]

Pass 4:
  Compare -99 and -23
  No swap needed
  Compare -23 and -13
  No swap needed
  Compare -13 and -100
  Swap -13 and -100
  List after swap: [-99, -23, -100, -13, -1, 3, 57]

Pass 5:
  Compare -99 and -23
  No swap needed
  Compare -23 and -100
  Swap -23 and -100
  List after swap: [-99, -100, -23, -13, -1, 3, 57]

Pass 6:
  Compare -99 and -100
  Swap -99 and -100
  List after swap: [-100, -99, -23, -13, -1, 3, 57]

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

Final sorted list: [-100, -99, -23, -13, -1, 3, 57]
</think>

<response>-100, -99, -23, -13, -1, 3, 57</response>


input: Arrange the numbers 73, -76, -66, 34, 72 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [73, -76, -66, 34, 72]

Pass 1:
  Compare 73 and -76
  Swap 73 and -76
  List after swap: [-76, 73, -66, 34, 72]
  Compare 73 and -66
  Swap 73 and -66
  List after swap: [-76, -66, 73, 34, 72]
  Compare 73 and 34
  Swap 73 and 34
  List after swap: [-76, -66, 34, 73, 72]
  Compare 73 and 72
  Swap 73 and 72
  List after swap: [-76, -66, 34, 72, 73]

Pass 2:
  Compare -76 and -66
  No swap needed
  Compare -66 and 34
  No swap needed
  Compare 34 and 72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -66, 34, 72, 73]
</think>

<response>-76, -66, 34, 72, 73</response>


input: Execute bubble sort to sort 93, 92, 40 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [93, 92, 40]

Pass 1:
  Compare 93 and 92
  Swap 93 and 92
  List after swap: [92, 93, 40]
  Compare 93 and 40
  Swap 93 and 40
  List after swap: [92, 40, 93]

Pass 2:
  Compare 92 and 40
  Swap 92 and 40
  List after swap: [40, 92, 93]

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

Final sorted list: [40, 92, 93]
</think>

<response>40, 92, 93</response>


input: Arrange the numbers -94, 20, -91 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-94, 20, -91]

Pass 1:
  Compare -94 and 20
  No swap needed
  Compare 20 and -91
  Swap 20 and -91
  List after swap: [-94, -91, 20]

Pass 2:
  Compare -94 and -91
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -91, 20]
</think>

<response>-94, -91, 20</response>


input: Sort the list -42, -80, -25, -89, 22, -99, 44, -48, 5 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-42, -80, -25, -89, 22, -99, 44, -48, 5]

Pass 1:
  Compare -42 and -80
  Swap -42 and -80
  List after swap: [-80, -42, -25, -89, 22, -99, 44, -48, 5]
  Compare -42 and -25
  No swap needed
  Compare -25 and -89
  Swap -25 and -89
  List after swap: [-80, -42, -89, -25, 22, -99, 44, -48, 5]
  Compare -25 and 22
  No swap needed
  Compare 22 and -99
  Swap 22 and -99
  List after swap: [-80, -42, -89, -25, -99, 22, 44, -48, 5]
  Compare 22 and 44
  No swap needed
  Compare 44 and -48
  Swap 44 and -48
  List after swap: [-80, -42, -89, -25, -99, 22, -48, 44, 5]
  Compare 44 and 5
  Swap 44 and 5
  List after swap: [-80, -42, -89, -25, -99, 22, -48, 5, 44]

Pass 2:
  Compare -80 and -42
  No swap needed
  Compare -42 and -89
  Swap -42 and -89
  List after swap: [-80, -89, -42, -25, -99, 22, -48, 5, 44]
  Compare -42 and -25
  No swap needed
  Compare -25 and -99
  Swap -25 and -99
  List after swap: [-80, -89, -42, -99, -25, 22, -48, 5, 44]
  Compare -25 and 22
  No swap needed
  Compare 22 and -48
  Swap 22 and -48
  List after swap: [-80, -89, -42, -99, -25, -48, 22, 5, 44]
  Compare 22 and 5
  Swap 22 and 5
  List after swap: [-80, -89, -42, -99, -25, -48, 5, 22, 44]

Pass 3:
  Compare -80 and -89
  Swap -80 and -89
  List after swap: [-89, -80, -42, -99, -25, -48, 5, 22, 44]
  Compare -80 and -42
  No swap needed
  Compare -42 and -99
  Swap -42 and -99
  List after swap: [-89, -80, -99, -42, -25, -48, 5, 22, 44]
  Compare -42 and -25
  No swap needed
  Compare -25 and -48
  Swap -25 and -48
  List after swap: [-89, -80, -99, -42, -48, -25, 5, 22, 44]
  Compare -25 and 5
  No swap needed

Pass 4:
  Compare -89 and -80
  No swap needed
  Compare -80 and -99
  Swap -80 and -99
  List after swap: [-89, -99, -80, -42, -48, -25, 5, 22, 44]
  Compare -80 and -42
  No swap needed
  Compare -42 and -48
  Swap -42 and -48
  List after swap: [-89, -99, -80, -48, -42, -25, 5, 22, 44]
  Compare -42 and -25
  No swap needed

Pass 5:
  Compare -89 and -99
  Swap -89 and -99
  List after swap: [-99, -89, -80, -48, -42, -25, 5, 22, 44]
  Compare -89 and -80
  No swap needed
  Compare -80 and -48
  No swap needed
  Compare -48 and -42
  No swap needed

Pass 6:
  Compare -99 and -89
  No swap needed
  Compare -89 and -80
  No swap needed
  Compare -80 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -89, -80, -48, -42, -25, 5, 22, 44]
</think>

<response>-99, -89, -80, -48, -42, -25, 5, 22, 44</response>


input: Perform a bubble sort on the integers -61, -11, 81, -15, 73, 23, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-61, -11, 81, -15, 73, 23]

Pass 1:
  Compare -61 and -11
  No swap needed
  Compare -11 and 81
  No swap needed
  Compare 81 and -15
  Swap 81 and -15
  List after swap: [-61, -11, -15, 81, 73, 23]
  Compare 81 and 73
  Swap 81 and 73
  List after swap: [-61, -11, -15, 73, 81, 23]
  Compare 81 and 23
  Swap 81 and 23
  List after swap: [-61, -11, -15, 73, 23, 81]

Pass 2:
  Compare -61 and -11
  No swap needed
  Compare -11 and -15
  Swap -11 and -15
  List after swap: [-61, -15, -11, 73, 23, 81]
  Compare -11 and 73
  No swap needed
  Compare 73 and 23
  Swap 73 and 23
  List after swap: [-61, -15, -11, 23, 73, 81]

Pass 3:
  Compare -61 and -15
  No swap needed
  Compare -15 and -11
  No swap needed
  Compare -11 and 23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -15, -11, 23, 73, 81]
</think>

<response>-61, -15, -11, 23, 73, 81</response>


input: Execute bubble sort to sort -85, -12 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-85, -12]

Pass 1:
  Compare -85 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -12]
</think>

<response>-85, -12</response>


input: Execute bubble sort to sort 48, 7, 62, -61, 67, -96 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [48, 7, 62, -61, 67, -96]

Pass 1:
  Compare 48 and 7
  Swap 48 and 7
  List after swap: [7, 48, 62, -61, 67, -96]
  Compare 48 and 62
  No swap needed
  Compare 62 and -61
  Swap 62 and -61
  List after swap: [7, 48, -61, 62, 67, -96]
  Compare 62 and 67
  No swap needed
  Compare 67 and -96
  Swap 67 and -96
  List after swap: [7, 48, -61, 62, -96, 67]

Pass 2:
  Compare 7 and 48
  No swap needed
  Compare 48 and -61
  Swap 48 and -61
  List after swap: [7, -61, 48, 62, -96, 67]
  Compare 48 and 62
  No swap needed
  Compare 62 and -96
  Swap 62 and -96
  List after swap: [7, -61, 48, -96, 62, 67]

Pass 3:
  Compare 7 and -61
  Swap 7 and -61
  List after swap: [-61, 7, 48, -96, 62, 67]
  Compare 7 and 48
  No swap needed
  Compare 48 and -96
  Swap 48 and -96
  List after swap: [-61, 7, -96, 48, 62, 67]

Pass 4:
  Compare -61 and 7
  No swap needed
  Compare 7 and -96
  Swap 7 and -96
  List after swap: [-61, -96, 7, 48, 62, 67]

Pass 5:
  Compare -61 and -96
  Swap -61 and -96
  List after swap: [-96, -61, 7, 48, 62, 67]

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

Final sorted list: [-96, -61, 7, 48, 62, 67]
</think>

<response>-96, -61, 7, 48, 62, 67</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 99, -32, -10, 80, 62, -55, 95, -37, -99.

output:
<think>
Initial list: [99, -32, -10, 80, 62, -55, 95, -37, -99]

Pass 1:
  Compare 99 and -32
  Swap 99 and -32
  List after swap: [-32, 99, -10, 80, 62, -55, 95, -37, -99]
  Compare 99 and -10
  Swap 99 and -10
  List after swap: [-32, -10, 99, 80, 62, -55, 95, -37, -99]
  Compare 99 and 80
  Swap 99 and 80
  List after swap: [-32, -10, 80, 99, 62, -55, 95, -37, -99]
  Compare 99 and 62
  Swap 99 and 62
  List after swap: [-32, -10, 80, 62, 99, -55, 95, -37, -99]
  Compare 99 and -55
  Swap 99 and -55
  List after swap: [-32, -10, 80, 62, -55, 99, 95, -37, -99]
  Compare 99 and 95
  Swap 99 and 95
  List after swap: [-32, -10, 80, 62, -55, 95, 99, -37, -99]
  Compare 99 and -37
  Swap 99 and -37
  List after swap: [-32, -10, 80, 62, -55, 95, -37, 99, -99]
  Compare 99 and -99
  Swap 99 and -99
  List after swap: [-32, -10, 80, 62, -55, 95, -37, -99, 99]

Pass 2:
  Compare -32 and -10
  No swap needed
  Compare -10 and 80
  No swap needed
  Compare 80 and 62
  Swap 80 and 62
  List after swap: [-32, -10, 62, 80, -55, 95, -37, -99, 99]
  Compare 80 and -55
  Swap 80 and -55
  List after swap: [-32, -10, 62, -55, 80, 95, -37, -99, 99]
  Compare 80 and 95
  No swap needed
  Compare 95 and -37
  Swap 95 and -37
  List after swap: [-32, -10, 62, -55, 80, -37, 95, -99, 99]
  Compare 95 and -99
  Swap 95 and -99
  List after swap: [-32, -10, 62, -55, 80, -37, -99, 95, 99]

Pass 3:
  Compare -32 and -10
  No swap needed
  Compare -10 and 62
  No swap needed
  Compare 62 and -55
  Swap 62 and -55
  List after swap: [-32, -10, -55, 62, 80, -37, -99, 95, 99]
  Compare 62 and 80
  No swap needed
  Compare 80 and -37
  Swap 80 and -37
  List after swap: [-32, -10, -55, 62, -37, 80, -99, 95, 99]
  Compare 80 and -99
  Swap 80 and -99
  List after swap: [-32, -10, -55, 62, -37, -99, 80, 95, 99]

Pass 4:
  Compare -32 and -10
  No swap needed
  Compare -10 and -55
  Swap -10 and -55
  List after swap: [-32, -55, -10, 62, -37, -99, 80, 95, 99]
  Compare -10 and 62
  No swap needed
  Compare 62 and -37
  Swap 62 and -37
  List after swap: [-32, -55, -10, -37, 62, -99, 80, 95, 99]
  Compare 62 and -99
  Swap 62 and -99
  List after swap: [-32, -55, -10, -37, -99, 62, 80, 95, 99]

Pass 5:
  Compare -32 and -55
  Swap -32 and -55
  List after swap: [-55, -32, -10, -37, -99, 62, 80, 95, 99]
  Compare -32 and -10
  No swap needed
  Compare -10 and -37
  Swap -10 and -37
  List after swap: [-55, -32, -37, -10, -99, 62, 80, 95, 99]
  Compare -10 and -99
  Swap -10 and -99
  List after swap: [-55, -32, -37, -99, -10, 62, 80, 95, 99]

Pass 6:
  Compare -55 and -32
  No swap needed
  Compare -32 and -37
  Swap -32 and -37
  List after swap: [-55, -37, -32, -99, -10, 62, 80, 95, 99]
  Compare -32 and -99
  Swap -32 and -99
  List after swap: [-55, -37, -99, -32, -10, 62, 80, 95, 99]

Pass 7:
  Compare -55 and -37
  No swap needed
  Compare -37 and -99
  Swap -37 and -99
  List after swap: [-55, -99, -37, -32, -10, 62, 80, 95, 99]

Pass 8:
  Compare -55 and -99
  Swap -55 and -99
  List after swap: [-99, -55, -37, -32, -10, 62, 80, 95, 99]

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

Final sorted list: [-99, -55, -37, -32, -10, 62, 80, 95, 99]
</think>

<response>-99, -55, -37, -32, -10, 62, 80, 95, 99</response>


input: Arrange the numbers 91, -65, 19, -37, 5 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [91, -65, 19, -37, 5]

Pass 1:
  Compare 91 and -65
  Swap 91 and -65
  List after swap: [-65, 91, 19, -37, 5]
  Compare 91 and 19
  Swap 91 and 19
  List after swap: [-65, 19, 91, -37, 5]
  Compare 91 and -37
  Swap 91 and -37
  List after swap: [-65, 19, -37, 91, 5]
  Compare 91 and 5
  Swap 91 and 5
  List after swap: [-65, 19, -37, 5, 91]

Pass 2:
  Compare -65 and 19
  No swap needed
  Compare 19 and -37
  Swap 19 and -37
  List after swap: [-65, -37, 19, 5, 91]
  Compare 19 and 5
  Swap 19 and 5
  List after swap: [-65, -37, 5, 19, 91]

Pass 3:
  Compare -65 and -37
  No swap needed
  Compare -37 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -37, 5, 19, 91]
</think>

<response>-65, -37, 5, 19, 91</response>


input: Execute bubble sort to sort -84, -33, 52, -43, 42, -95, 35, 14, 26 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-84, -33, 52, -43, 42, -95, 35, 14, 26]

Pass 1:
  Compare -84 and -33
  No swap needed
  Compare -33 and 52
  No swap needed
  Compare 52 and -43
  Swap 52 and -43
  List after swap: [-84, -33, -43, 52, 42, -95, 35, 14, 26]
  Compare 52 and 42
  Swap 52 and 42
  List after swap: [-84, -33, -43, 42, 52, -95, 35, 14, 26]
  Compare 52 and -95
  Swap 52 and -95
  List after swap: [-84, -33, -43, 42, -95, 52, 35, 14, 26]
  Compare 52 and 35
  Swap 52 and 35
  List after swap: [-84, -33, -43, 42, -95, 35, 52, 14, 26]
  Compare 52 and 14
  Swap 52 and 14
  List after swap: [-84, -33, -43, 42, -95, 35, 14, 52, 26]
  Compare 52 and 26
  Swap 52 and 26
  List after swap: [-84, -33, -43, 42, -95, 35, 14, 26, 52]

Pass 2:
  Compare -84 and -33
  No swap needed
  Compare -33 and -43
  Swap -33 and -43
  List after swap: [-84, -43, -33, 42, -95, 35, 14, 26, 52]
  Compare -33 and 42
  No swap needed
  Compare 42 and -95
  Swap 42 and -95
  List after swap: [-84, -43, -33, -95, 42, 35, 14, 26, 52]
  Compare 42 and 35
  Swap 42 and 35
  List after swap: [-84, -43, -33, -95, 35, 42, 14, 26, 52]
  Compare 42 and 14
  Swap 42 and 14
  List after swap: [-84, -43, -33, -95, 35, 14, 42, 26, 52]
  Compare 42 and 26
  Swap 42 and 26
  List after swap: [-84, -43, -33, -95, 35, 14, 26, 42, 52]

Pass 3:
  Compare -84 and -43
  No swap needed
  Compare -43 and -33
  No swap needed
  Compare -33 and -95
  Swap -33 and -95
  List after swap: [-84, -43, -95, -33, 35, 14, 26, 42, 52]
  Compare -33 and 35
  No swap needed
  Compare 35 and 14
  Swap 35 and 14
  List after swap: [-84, -43, -95, -33, 14, 35, 26, 42, 52]
  Compare 35 and 26
  Swap 35 and 26
  List after swap: [-84, -43, -95, -33, 14, 26, 35, 42, 52]

Pass 4:
  Compare -84 and -43
  No swap needed
  Compare -43 and -95
  Swap -43 and -95
  List after swap: [-84, -95, -43, -33, 14, 26, 35, 42, 52]
  Compare -43 and -33
  No swap needed
  Compare -33 and 14
  No swap needed
  Compare 14 and 26
  No swap needed

Pass 5:
  Compare -84 and -95
  Swap -84 and -95
  List after swap: [-95, -84, -43, -33, 14, 26, 35, 42, 52]
  Compare -84 and -43
  No swap needed
  Compare -43 and -33
  No swap needed
  Compare -33 and 14
  No swap needed

Pass 6:
  Compare -95 and -84
  No swap needed
  Compare -84 and -43
  No swap needed
  Compare -43 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -84, -43, -33, 14, 26, 35, 42, 52]
</think>

<response>-95, -84, -43, -33, 14, 26, 35, 42, 52</response>


input: Using the bubble sort method, sort 12, -95, -64, 94 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [12, -95, -64, 94]

Pass 1:
  Compare 12 and -95
  Swap 12 and -95
  List after swap: [-95, 12, -64, 94]
  Compare 12 and -64
  Swap 12 and -64
  List after swap: [-95, -64, 12, 94]
  Compare 12 and 94
  No swap needed

Pass 2:
  Compare -95 and -64
  No swap needed
  Compare -64 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -64, 12, 94]
</think>

<response>-95, -64, 12, 94</response>


input: Carry out the bubble sort algorithm on -37, -84, -99, 65 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-37, -84, -99, 65]

Pass 1:
  Compare -37 and -84
  Swap -37 and -84
  List after swap: [-84, -37, -99, 65]
  Compare -37 and -99
  Swap -37 and -99
  List after swap: [-84, -99, -37, 65]
  Compare -37 and 65
  No swap needed

Pass 2:
  Compare -84 and -99
  Swap -84 and -99
  List after swap: [-99, -84, -37, 65]
  Compare -84 and -37
  No swap needed

Pass 3:
  Compare -99 and -84
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -84, -37, 65]
</think>

<response>-99, -84, -37, 65</response>


input: Sort the list 42, 60, 77, -15, 10 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [42, 60, 77, -15, 10]

Pass 1:
  Compare 42 and 60
  No swap needed
  Compare 60 and 77
  No swap needed
  Compare 77 and -15
  Swap 77 and -15
  List after swap: [42, 60, -15, 77, 10]
  Compare 77 and 10
  Swap 77 and 10
  List after swap: [42, 60, -15, 10, 77]

Pass 2:
  Compare 42 and 60
  No swap needed
  Compare 60 and -15
  Swap 60 and -15
  List after swap: [42, -15, 60, 10, 77]
  Compare 60 and 10
  Swap 60 and 10
  List after swap: [42, -15, 10, 60, 77]

Pass 3:
  Compare 42 and -15
  Swap 42 and -15
  List after swap: [-15, 42, 10, 60, 77]
  Compare 42 and 10
  Swap 42 and 10
  List after swap: [-15, 10, 42, 60, 77]

Pass 4:
  Compare -15 and 10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-15, 10, 42, 60, 77]
</think>

<response>-15, 10, 42, 60, 77</response>


input: Using the bubble sort method, sort 40, -6, 24, 57, 78, 98 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [40, -6, 24, 57, 78, 98]

Pass 1:
  Compare 40 and -6
  Swap 40 and -6
  List after swap: [-6, 40, 24, 57, 78, 98]
  Compare 40 and 24
  Swap 40 and 24
  List after swap: [-6, 24, 40, 57, 78, 98]
  Compare 40 and 57
  No swap needed
  Compare 57 and 78
  No swap needed
  Compare 78 and 98
  No swap needed

Pass 2:
  Compare -6 and 24
  No swap needed
  Compare 24 and 40
  No swap needed
  Compare 40 and 57
  No swap needed
  Compare 57 and 78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-6, 24, 40, 57, 78, 98]
</think>

<response>-6, 24, 40, 57, 78, 98</response>


input: Use the bubble sort technique to reorder -18, -20, 70, -90 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-18, -20, 70, -90]

Pass 1:
  Compare -18 and -20
  Swap -18 and -20
  List after swap: [-20, -18, 70, -90]
  Compare -18 and 70
  No swap needed
  Compare 70 and -90
  Swap 70 and -90
  List after swap: [-20, -18, -90, 70]

Pass 2:
  Compare -20 and -18
  No swap needed
  Compare -18 and -90
  Swap -18 and -90
  List after swap: [-20, -90, -18, 70]

Pass 3:
  Compare -20 and -90
  Swap -20 and -90
  List after swap: [-90, -20, -18, 70]

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

Final sorted list: [-90, -20, -18, 70]
</think>

<response>-90, -20, -18, 70</response>


input: Execute bubble sort to sort 47, -89, 31, -8, -100, 56, -63, -81 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [47, -89, 31, -8, -100, 56, -63, -81]

Pass 1:
  Compare 47 and -89
  Swap 47 and -89
  List after swap: [-89, 47, 31, -8, -100, 56, -63, -81]
  Compare 47 and 31
  Swap 47 and 31
  List after swap: [-89, 31, 47, -8, -100, 56, -63, -81]
  Compare 47 and -8
  Swap 47 and -8
  List after swap: [-89, 31, -8, 47, -100, 56, -63, -81]
  Compare 47 and -100
  Swap 47 and -100
  List after swap: [-89, 31, -8, -100, 47, 56, -63, -81]
  Compare 47 and 56
  No swap needed
  Compare 56 and -63
  Swap 56 and -63
  List after swap: [-89, 31, -8, -100, 47, -63, 56, -81]
  Compare 56 and -81
  Swap 56 and -81
  List after swap: [-89, 31, -8, -100, 47, -63, -81, 56]

Pass 2:
  Compare -89 and 31
  No swap needed
  Compare 31 and -8
  Swap 31 and -8
  List after swap: [-89, -8, 31, -100, 47, -63, -81, 56]
  Compare 31 and -100
  Swap 31 and -100
  List after swap: [-89, -8, -100, 31, 47, -63, -81, 56]
  Compare 31 and 47
  No swap needed
  Compare 47 and -63
  Swap 47 and -63
  List after swap: [-89, -8, -100, 31, -63, 47, -81, 56]
  Compare 47 and -81
  Swap 47 and -81
  List after swap: [-89, -8, -100, 31, -63, -81, 47, 56]

Pass 3:
  Compare -89 and -8
  No swap needed
  Compare -8 and -100
  Swap -8 and -100
  List after swap: [-89, -100, -8, 31, -63, -81, 47, 56]
  Compare -8 and 31
  No swap needed
  Compare 31 and -63
  Swap 31 and -63
  List after swap: [-89, -100, -8, -63, 31, -81, 47, 56]
  Compare 31 and -81
  Swap 31 and -81
  List after swap: [-89, -100, -8, -63, -81, 31, 47, 56]

Pass 4:
  Compare -89 and -100
  Swap -89 and -100
  List after swap: [-100, -89, -8, -63, -81, 31, 47, 56]
  Compare -89 and -8
  No swap needed
  Compare -8 and -63
  Swap -8 and -63
  List after swap: [-100, -89, -63, -8, -81, 31, 47, 56]
  Compare -8 and -81
  Swap -8 and -81
  List after swap: [-100, -89, -63, -81, -8, 31, 47, 56]

Pass 5:
  Compare -100 and -89
  No swap needed
  Compare -89 and -63
  No swap needed
  Compare -63 and -81
  Swap -63 and -81
  List after swap: [-100, -89, -81, -63, -8, 31, 47, 56]

Pass 6:
  Compare -100 and -89
  No swap needed
  Compare -89 and -81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -89, -81, -63, -8, 31, 47, 56]
</think>

<response>-100, -89, -81, -63, -8, 31, 47, 56</response>


input: Use the bubble sort technique to reorder 51, 69 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [51, 69]

Pass 1:
  Compare 51 and 69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [51, 69]
</think>

<response>51, 69</response>


input: Implement bubble sort on 63, -22, -69, 32, -26, -53, 5 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [63, -22, -69, 32, -26, -53, 5]

Pass 1:
  Compare 63 and -22
  Swap 63 and -22
  List after swap: [-22, 63, -69, 32, -26, -53, 5]
  Compare 63 and -69
  Swap 63 and -69
  List after swap: [-22, -69, 63, 32, -26, -53, 5]
  Compare 63 and 32
  Swap 63 and 32
  List after swap: [-22, -69, 32, 63, -26, -53, 5]
  Compare 63 and -26
  Swap 63 and -26
  List after swap: [-22, -69, 32, -26, 63, -53, 5]
  Compare 63 and -53
  Swap 63 and -53
  List after swap: [-22, -69, 32, -26, -53, 63, 5]
  Compare 63 and 5
  Swap 63 and 5
  List after swap: [-22, -69, 32, -26, -53, 5, 63]

Pass 2:
  Compare -22 and -69
  Swap -22 and -69
  List after swap: [-69, -22, 32, -26, -53, 5, 63]
  Compare -22 and 32
  No swap needed
  Compare 32 and -26
  Swap 32 and -26
  List after swap: [-69, -22, -26, 32, -53, 5, 63]
  Compare 32 and -53
  Swap 32 and -53
  List after swap: [-69, -22, -26, -53, 32, 5, 63]
  Compare 32 and 5
  Swap 32 and 5
  List after swap: [-69, -22, -26, -53, 5, 32, 63]

Pass 3:
  Compare -69 and -22
  No swap needed
  Compare -22 and -26
  Swap -22 and -26
  List after swap: [-69, -26, -22, -53, 5, 32, 63]
  Compare -22 and -53
  Swap -22 and -53
  List after swap: [-69, -26, -53, -22, 5, 32, 63]
  Compare -22 and 5
  No swap needed

Pass 4:
  Compare -69 and -26
  No swap needed
  Compare -26 and -53
  Swap -26 and -53
  List after swap: [-69, -53, -26, -22, 5, 32, 63]
  Compare -26 and -22
  No swap needed

Pass 5:
  Compare -69 and -53
  No swap needed
  Compare -53 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -53, -26, -22, 5, 32, 63]
</think>

<response>-69, -53, -26, -22, 5, 32, 63</response>


input: Execute bubble sort to sort -90, -70 in increasing order and detail each phase of the sorting process.

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

Pass 1:
  Compare -90 and -70
  No swap needed
  No swaps in this pass, list is sorted.

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

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


input: Sort the list 52, 14 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [52, 14]

Pass 1:
  Compare 52 and 14
  Swap 52 and 14
  List after swap: [14, 52]

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

Final sorted list: [14, 52]
</think>

<response>14, 52</response>


input: Arrange the numbers -32, -29, -45, 83, -54, 42, -7, 34, 3, -53 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-32, -29, -45, 83, -54, 42, -7, 34, 3, -53]

Pass 1:
  Compare -32 and -29
  No swap needed
  Compare -29 and -45
  Swap -29 and -45
  List after swap: [-32, -45, -29, 83, -54, 42, -7, 34, 3, -53]
  Compare -29 and 83
  No swap needed
  Compare 83 and -54
  Swap 83 and -54
  List after swap: [-32, -45, -29, -54, 83, 42, -7, 34, 3, -53]
  Compare 83 and 42
  Swap 83 and 42
  List after swap: [-32, -45, -29, -54, 42, 83, -7, 34, 3, -53]
  Compare 83 and -7
  Swap 83 and -7
  List after swap: [-32, -45, -29, -54, 42, -7, 83, 34, 3, -53]
  Compare 83 and 34
  Swap 83 and 34
  List after swap: [-32, -45, -29, -54, 42, -7, 34, 83, 3, -53]
  Compare 83 and 3
  Swap 83 and 3
  List after swap: [-32, -45, -29, -54, 42, -7, 34, 3, 83, -53]
  Compare 83 and -53
  Swap 83 and -53
  List after swap: [-32, -45, -29, -54, 42, -7, 34, 3, -53, 83]

Pass 2:
  Compare -32 and -45
  Swap -32 and -45
  List after swap: [-45, -32, -29, -54, 42, -7, 34, 3, -53, 83]
  Compare -32 and -29
  No swap needed
  Compare -29 and -54
  Swap -29 and -54
  List after swap: [-45, -32, -54, -29, 42, -7, 34, 3, -53, 83]
  Compare -29 and 42
  No swap needed
  Compare 42 and -7
  Swap 42 and -7
  List after swap: [-45, -32, -54, -29, -7, 42, 34, 3, -53, 83]
  Compare 42 and 34
  Swap 42 and 34
  List after swap: [-45, -32, -54, -29, -7, 34, 42, 3, -53, 83]
  Compare 42 and 3
  Swap 42 and 3
  List after swap: [-45, -32, -54, -29, -7, 34, 3, 42, -53, 83]
  Compare 42 and -53
  Swap 42 and -53
  List after swap: [-45, -32, -54, -29, -7, 34, 3, -53, 42, 83]

Pass 3:
  Compare -45 and -32
  No swap needed
  Compare -32 and -54
  Swap -32 and -54
  List after swap: [-45, -54, -32, -29, -7, 34, 3, -53, 42, 83]
  Compare -32 and -29
  No swap needed
  Compare -29 and -7
  No swap needed
  Compare -7 and 34
  No swap needed
  Compare 34 and 3
  Swap 34 and 3
  List after swap: [-45, -54, -32, -29, -7, 3, 34, -53, 42, 83]
  Compare 34 and -53
  Swap 34 and -53
  List after swap: [-45, -54, -32, -29, -7, 3, -53, 34, 42, 83]

Pass 4:
  Compare -45 and -54
  Swap -45 and -54
  List after swap: [-54, -45, -32, -29, -7, 3, -53, 34, 42, 83]
  Compare -45 and -32
  No swap needed
  Compare -32 and -29
  No swap needed
  Compare -29 and -7
  No swap needed
  Compare -7 and 3
  No swap needed
  Compare 3 and -53
  Swap 3 and -53
  List after swap: [-54, -45, -32, -29, -7, -53, 3, 34, 42, 83]

Pass 5:
  Compare -54 and -45
  No swap needed
  Compare -45 and -32
  No swap needed
  Compare -32 and -29
  No swap needed
  Compare -29 and -7
  No swap needed
  Compare -7 and -53
  Swap -7 and -53
  List after swap: [-54, -45, -32, -29, -53, -7, 3, 34, 42, 83]

Pass 6:
  Compare -54 and -45
  No swap needed
  Compare -45 and -32
  No swap needed
  Compare -32 and -29
  No swap needed
  Compare -29 and -53
  Swap -29 and -53
  List after swap: [-54, -45, -32, -53, -29, -7, 3, 34, 42, 83]

Pass 7:
  Compare -54 and -45
  No swap needed
  Compare -45 and -32
  No swap needed
  Compare -32 and -53
  Swap -32 and -53
  List after swap: [-54, -45, -53, -32, -29, -7, 3, 34, 42, 83]

Pass 8:
  Compare -54 and -45
  No swap needed
  Compare -45 and -53
  Swap -45 and -53
  List after swap: [-54, -53, -45, -32, -29, -7, 3, 34, 42, 83]

Pass 9:
  Compare -54 and -53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-54, -53, -45, -32, -29, -7, 3, 34, 42, 83]
</think>

<response>-54, -53, -45, -32, -29, -7, 3, 34, 42, 83</response>


input: Arrange the numbers -82, 11, 92, 89, 77, 35, 68, -12, 43 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-82, 11, 92, 89, 77, 35, 68, -12, 43]

Pass 1:
  Compare -82 and 11
  No swap needed
  Compare 11 and 92
  No swap needed
  Compare 92 and 89
  Swap 92 and 89
  List after swap: [-82, 11, 89, 92, 77, 35, 68, -12, 43]
  Compare 92 and 77
  Swap 92 and 77
  List after swap: [-82, 11, 89, 77, 92, 35, 68, -12, 43]
  Compare 92 and 35
  Swap 92 and 35
  List after swap: [-82, 11, 89, 77, 35, 92, 68, -12, 43]
  Compare 92 and 68
  Swap 92 and 68
  List after swap: [-82, 11, 89, 77, 35, 68, 92, -12, 43]
  Compare 92 and -12
  Swap 92 and -12
  List after swap: [-82, 11, 89, 77, 35, 68, -12, 92, 43]
  Compare 92 and 43
  Swap 92 and 43
  List after swap: [-82, 11, 89, 77, 35, 68, -12, 43, 92]

Pass 2:
  Compare -82 and 11
  No swap needed
  Compare 11 and 89
  No swap needed
  Compare 89 and 77
  Swap 89 and 77
  List after swap: [-82, 11, 77, 89, 35, 68, -12, 43, 92]
  Compare 89 and 35
  Swap 89 and 35
  List after swap: [-82, 11, 77, 35, 89, 68, -12, 43, 92]
  Compare 89 and 68
  Swap 89 and 68
  List after swap: [-82, 11, 77, 35, 68, 89, -12, 43, 92]
  Compare 89 and -12
  Swap 89 and -12
  List after swap: [-82, 11, 77, 35, 68, -12, 89, 43, 92]
  Compare 89 and 43
  Swap 89 and 43
  List after swap: [-82, 11, 77, 35, 68, -12, 43, 89, 92]

Pass 3:
  Compare -82 and 11
  No swap needed
  Compare 11 and 77
  No swap needed
  Compare 77 and 35
  Swap 77 and 35
  List after swap: [-82, 11, 35, 77, 68, -12, 43, 89, 92]
  Compare 77 and 68
  Swap 77 and 68
  List after swap: [-82, 11, 35, 68, 77, -12, 43, 89, 92]
  Compare 77 and -12
  Swap 77 and -12
  List after swap: [-82, 11, 35, 68, -12, 77, 43, 89, 92]
  Compare 77 and 43
  Swap 77 and 43
  List after swap: [-82, 11, 35, 68, -12, 43, 77, 89, 92]

Pass 4:
  Compare -82 and 11
  No swap needed
  Compare 11 and 35
  No swap needed
  Compare 35 and 68
  No swap needed
  Compare 68 and -12
  Swap 68 and -12
  List after swap: [-82, 11, 35, -12, 68, 43, 77, 89, 92]
  Compare 68 and 43
  Swap 68 and 43
  List after swap: [-82, 11, 35, -12, 43, 68, 77, 89, 92]

Pass 5:
  Compare -82 and 11
  No swap needed
  Compare 11 and 35
  No swap needed
  Compare 35 and -12
  Swap 35 and -12
  List after swap: [-82, 11, -12, 35, 43, 68, 77, 89, 92]
  Compare 35 and 43
  No swap needed

Pass 6:
  Compare -82 and 11
  No swap needed
  Compare 11 and -12
  Swap 11 and -12
  List after swap: [-82, -12, 11, 35, 43, 68, 77, 89, 92]
  Compare 11 and 35
  No swap needed

Pass 7:
  Compare -82 and -12
  No swap needed
  Compare -12 and 11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -12, 11, 35, 43, 68, 77, 89, 92]
</think>

<response>-82, -12, 11, 35, 43, 68, 77, 89, 92</response>


input: Carry out the bubble sort algorithm on 93, -72, 17, 34, 6 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [93, -72, 17, 34, 6]

Pass 1:
  Compare 93 and -72
  Swap 93 and -72
  List after swap: [-72, 93, 17, 34, 6]
  Compare 93 and 17
  Swap 93 and 17
  List after swap: [-72, 17, 93, 34, 6]
  Compare 93 and 34
  Swap 93 and 34
  List after swap: [-72, 17, 34, 93, 6]
  Compare 93 and 6
  Swap 93 and 6
  List after swap: [-72, 17, 34, 6, 93]

Pass 2:
  Compare -72 and 17
  No swap needed
  Compare 17 and 34
  No swap needed
  Compare 34 and 6
  Swap 34 and 6
  List after swap: [-72, 17, 6, 34, 93]

Pass 3:
  Compare -72 and 17
  No swap needed
  Compare 17 and 6
  Swap 17 and 6
  List after swap: [-72, 6, 17, 34, 93]

Pass 4:
  Compare -72 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, 6, 17, 34, 93]
</think>

<response>-72, 6, 17, 34, 93</response>


input: Sort the list 28, -78, 90, 17, -21, 40, 63 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [28, -78, 90, 17, -21, 40, 63]

Pass 1:
  Compare 28 and -78
  Swap 28 and -78
  List after swap: [-78, 28, 90, 17, -21, 40, 63]
  Compare 28 and 90
  No swap needed
  Compare 90 and 17
  Swap 90 and 17
  List after swap: [-78, 28, 17, 90, -21, 40, 63]
  Compare 90 and -21
  Swap 90 and -21
  List after swap: [-78, 28, 17, -21, 90, 40, 63]
  Compare 90 and 40
  Swap 90 and 40
  List after swap: [-78, 28, 17, -21, 40, 90, 63]
  Compare 90 and 63
  Swap 90 and 63
  List after swap: [-78, 28, 17, -21, 40, 63, 90]

Pass 2:
  Compare -78 and 28
  No swap needed
  Compare 28 and 17
  Swap 28 and 17
  List after swap: [-78, 17, 28, -21, 40, 63, 90]
  Compare 28 and -21
  Swap 28 and -21
  List after swap: [-78, 17, -21, 28, 40, 63, 90]
  Compare 28 and 40
  No swap needed
  Compare 40 and 63
  No swap needed

Pass 3:
  Compare -78 and 17
  No swap needed
  Compare 17 and -21
  Swap 17 and -21
  List after swap: [-78, -21, 17, 28, 40, 63, 90]
  Compare 17 and 28
  No swap needed
  Compare 28 and 40
  No swap needed

Pass 4:
  Compare -78 and -21
  No swap needed
  Compare -21 and 17
  No swap needed
  Compare 17 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -21, 17, 28, 40, 63, 90]
</think>

<response>-78, -21, 17, 28, 40, 63, 90</response>


input: Sort these integers 52, 97, 94, -60, -38, 78, 68, 31, 95, -64 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [52, 97, 94, -60, -38, 78, 68, 31, 95, -64]

Pass 1:
  Compare 52 and 97
  No swap needed
  Compare 97 and 94
  Swap 97 and 94
  List after swap: [52, 94, 97, -60, -38, 78, 68, 31, 95, -64]
  Compare 97 and -60
  Swap 97 and -60
  List after swap: [52, 94, -60, 97, -38, 78, 68, 31, 95, -64]
  Compare 97 and -38
  Swap 97 and -38
  List after swap: [52, 94, -60, -38, 97, 78, 68, 31, 95, -64]
  Compare 97 and 78
  Swap 97 and 78
  List after swap: [52, 94, -60, -38, 78, 97, 68, 31, 95, -64]
  Compare 97 and 68
  Swap 97 and 68
  List after swap: [52, 94, -60, -38, 78, 68, 97, 31, 95, -64]
  Compare 97 and 31
  Swap 97 and 31
  List after swap: [52, 94, -60, -38, 78, 68, 31, 97, 95, -64]
  Compare 97 and 95
  Swap 97 and 95
  List after swap: [52, 94, -60, -38, 78, 68, 31, 95, 97, -64]
  Compare 97 and -64
  Swap 97 and -64
  List after swap: [52, 94, -60, -38, 78, 68, 31, 95, -64, 97]

Pass 2:
  Compare 52 and 94
  No swap needed
  Compare 94 and -60
  Swap 94 and -60
  List after swap: [52, -60, 94, -38, 78, 68, 31, 95, -64, 97]
  Compare 94 and -38
  Swap 94 and -38
  List after swap: [52, -60, -38, 94, 78, 68, 31, 95, -64, 97]
  Compare 94 and 78
  Swap 94 and 78
  List after swap: [52, -60, -38, 78, 94, 68, 31, 95, -64, 97]
  Compare 94 and 68
  Swap 94 and 68
  List after swap: [52, -60, -38, 78, 68, 94, 31, 95, -64, 97]
  Compare 94 and 31
  Swap 94 and 31
  List after swap: [52, -60, -38, 78, 68, 31, 94, 95, -64, 97]
  Compare 94 and 95
  No swap needed
  Compare 95 and -64
  Swap 95 and -64
  List after swap: [52, -60, -38, 78, 68, 31, 94, -64, 95, 97]

Pass 3:
  Compare 52 and -60
  Swap 52 and -60
  List after swap: [-60, 52, -38, 78, 68, 31, 94, -64, 95, 97]
  Compare 52 and -38
  Swap 52 and -38
  List after swap: [-60, -38, 52, 78, 68, 31, 94, -64, 95, 97]
  Compare 52 and 78
  No swap needed
  Compare 78 and 68
  Swap 78 and 68
  List after swap: [-60, -38, 52, 68, 78, 31, 94, -64, 95, 97]
  Compare 78 and 31
  Swap 78 and 31
  List after swap: [-60, -38, 52, 68, 31, 78, 94, -64, 95, 97]
  Compare 78 and 94
  No swap needed
  Compare 94 and -64
  Swap 94 and -64
  List after swap: [-60, -38, 52, 68, 31, 78, -64, 94, 95, 97]

Pass 4:
  Compare -60 and -38
  No swap needed
  Compare -38 and 52
  No swap needed
  Compare 52 and 68
  No swap needed
  Compare 68 and 31
  Swap 68 and 31
  List after swap: [-60, -38, 52, 31, 68, 78, -64, 94, 95, 97]
  Compare 68 and 78
  No swap needed
  Compare 78 and -64
  Swap 78 and -64
  List after swap: [-60, -38, 52, 31, 68, -64, 78, 94, 95, 97]

Pass 5:
  Compare -60 and -38
  No swap needed
  Compare -38 and 52
  No swap needed
  Compare 52 and 31
  Swap 52 and 31
  List after swap: [-60, -38, 31, 52, 68, -64, 78, 94, 95, 97]
  Compare 52 and 68
  No swap needed
  Compare 68 and -64
  Swap 68 and -64
  List after swap: [-60, -38, 31, 52, -64, 68, 78, 94, 95, 97]

Pass 6:
  Compare -60 and -38
  No swap needed
  Compare -38 and 31
  No swap needed
  Compare 31 and 52
  No swap needed
  Compare 52 and -64
  Swap 52 and -64
  List after swap: [-60, -38, 31, -64, 52, 68, 78, 94, 95, 97]

Pass 7:
  Compare -60 and -38
  No swap needed
  Compare -38 and 31
  No swap needed
  Compare 31 and -64
  Swap 31 and -64
  List after swap: [-60, -38, -64, 31, 52, 68, 78, 94, 95, 97]

Pass 8:
  Compare -60 and -38
  No swap needed
  Compare -38 and -64
  Swap -38 and -64
  List after swap: [-60, -64, -38, 31, 52, 68, 78, 94, 95, 97]

Pass 9:
  Compare -60 and -64
  Swap -60 and -64
  List after swap: [-64, -60, -38, 31, 52, 68, 78, 94, 95, 97]

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

Final sorted list: [-64, -60, -38, 31, 52, 68, 78, 94, 95, 97]
</think>

<response>-64, -60, -38, 31, 52, 68, 78, 94, 95, 97</response>


input: Execute bubble sort to sort 76, 88, -43, 60, 9 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [76, 88, -43, 60, 9]

Pass 1:
  Compare 76 and 88
  No swap needed
  Compare 88 and -43
  Swap 88 and -43
  List after swap: [76, -43, 88, 60, 9]
  Compare 88 and 60
  Swap 88 and 60
  List after swap: [76, -43, 60, 88, 9]
  Compare 88 and 9
  Swap 88 and 9
  List after swap: [76, -43, 60, 9, 88]

Pass 2:
  Compare 76 and -43
  Swap 76 and -43
  List after swap: [-43, 76, 60, 9, 88]
  Compare 76 and 60
  Swap 76 and 60
  List after swap: [-43, 60, 76, 9, 88]
  Compare 76 and 9
  Swap 76 and 9
  List after swap: [-43, 60, 9, 76, 88]

Pass 3:
  Compare -43 and 60
  No swap needed
  Compare 60 and 9
  Swap 60 and 9
  List after swap: [-43, 9, 60, 76, 88]

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

Final sorted list: [-43, 9, 60, 76, 88]
</think>

<response>-43, 9, 60, 76, 88</response>


input: Arrange the numbers 94, -77, 43, -33, -87 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [94, -77, 43, -33, -87]

Pass 1:
  Compare 94 and -77
  Swap 94 and -77
  List after swap: [-77, 94, 43, -33, -87]
  Compare 94 and 43
  Swap 94 and 43
  List after swap: [-77, 43, 94, -33, -87]
  Compare 94 and -33
  Swap 94 and -33
  List after swap: [-77, 43, -33, 94, -87]
  Compare 94 and -87
  Swap 94 and -87
  List after swap: [-77, 43, -33, -87, 94]

Pass 2:
  Compare -77 and 43
  No swap needed
  Compare 43 and -33
  Swap 43 and -33
  List after swap: [-77, -33, 43, -87, 94]
  Compare 43 and -87
  Swap 43 and -87
  List after swap: [-77, -33, -87, 43, 94]

Pass 3:
  Compare -77 and -33
  No swap needed
  Compare -33 and -87
  Swap -33 and -87
  List after swap: [-77, -87, -33, 43, 94]

Pass 4:
  Compare -77 and -87
  Swap -77 and -87
  List after swap: [-87, -77, -33, 43, 94]

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

Final sorted list: [-87, -77, -33, 43, 94]
</think>

<response>-87, -77, -33, 43, 94</response>


input: Using the bubble sort method, sort 18, 91, 76, 45, 39, -4 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [18, 91, 76, 45, 39, -4]

Pass 1:
  Compare 18 and 91
  No swap needed
  Compare 91 and 76
  Swap 91 and 76
  List after swap: [18, 76, 91, 45, 39, -4]
  Compare 91 and 45
  Swap 91 and 45
  List after swap: [18, 76, 45, 91, 39, -4]
  Compare 91 and 39
  Swap 91 and 39
  List after swap: [18, 76, 45, 39, 91, -4]
  Compare 91 and -4
  Swap 91 and -4
  List after swap: [18, 76, 45, 39, -4, 91]

Pass 2:
  Compare 18 and 76
  No swap needed
  Compare 76 and 45
  Swap 76 and 45
  List after swap: [18, 45, 76, 39, -4, 91]
  Compare 76 and 39
  Swap 76 and 39
  List after swap: [18, 45, 39, 76, -4, 91]
  Compare 76 and -4
  Swap 76 and -4
  List after swap: [18, 45, 39, -4, 76, 91]

Pass 3:
  Compare 18 and 45
  No swap needed
  Compare 45 and 39
  Swap 45 and 39
  List after swap: [18, 39, 45, -4, 76, 91]
  Compare 45 and -4
  Swap 45 and -4
  List after swap: [18, 39, -4, 45, 76, 91]

Pass 4:
  Compare 18 and 39
  No swap needed
  Compare 39 and -4
  Swap 39 and -4
  List after swap: [18, -4, 39, 45, 76, 91]

Pass 5:
  Compare 18 and -4
  Swap 18 and -4
  List after swap: [-4, 18, 39, 45, 76, 91]

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

Final sorted list: [-4, 18, 39, 45, 76, 91]
</think>

<response>-4, 18, 39, 45, 76, 91</response>


input: Use the bubble sort technique to reorder 3, -35, -85, -11, 64 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [3, -35, -85, -11, 64]

Pass 1:
  Compare 3 and -35
  Swap 3 and -35
  List after swap: [-35, 3, -85, -11, 64]
  Compare 3 and -85
  Swap 3 and -85
  List after swap: [-35, -85, 3, -11, 64]
  Compare 3 and -11
  Swap 3 and -11
  List after swap: [-35, -85, -11, 3, 64]
  Compare 3 and 64
  No swap needed

Pass 2:
  Compare -35 and -85
  Swap -35 and -85
  List after swap: [-85, -35, -11, 3, 64]
  Compare -35 and -11
  No swap needed
  Compare -11 and 3
  No swap needed

Pass 3:
  Compare -85 and -35
  No swap needed
  Compare -35 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -35, -11, 3, 64]
</think>

<response>-85, -35, -11, 3, 64</response>


input: Execute bubble sort to sort 71, -65, 58, -63, -17, 67, -3, 50, -14 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [71, -65, 58, -63, -17, 67, -3, 50, -14]

Pass 1:
  Compare 71 and -65
  Swap 71 and -65
  List after swap: [-65, 71, 58, -63, -17, 67, -3, 50, -14]
  Compare 71 and 58
  Swap 71 and 58
  List after swap: [-65, 58, 71, -63, -17, 67, -3, 50, -14]
  Compare 71 and -63
  Swap 71 and -63
  List after swap: [-65, 58, -63, 71, -17, 67, -3, 50, -14]
  Compare 71 and -17
  Swap 71 and -17
  List after swap: [-65, 58, -63, -17, 71, 67, -3, 50, -14]
  Compare 71 and 67
  Swap 71 and 67
  List after swap: [-65, 58, -63, -17, 67, 71, -3, 50, -14]
  Compare 71 and -3
  Swap 71 and -3
  List after swap: [-65, 58, -63, -17, 67, -3, 71, 50, -14]
  Compare 71 and 50
  Swap 71 and 50
  List after swap: [-65, 58, -63, -17, 67, -3, 50, 71, -14]
  Compare 71 and -14
  Swap 71 and -14
  List after swap: [-65, 58, -63, -17, 67, -3, 50, -14, 71]

Pass 2:
  Compare -65 and 58
  No swap needed
  Compare 58 and -63
  Swap 58 and -63
  List after swap: [-65, -63, 58, -17, 67, -3, 50, -14, 71]
  Compare 58 and -17
  Swap 58 and -17
  List after swap: [-65, -63, -17, 58, 67, -3, 50, -14, 71]
  Compare 58 and 67
  No swap needed
  Compare 67 and -3
  Swap 67 and -3
  List after swap: [-65, -63, -17, 58, -3, 67, 50, -14, 71]
  Compare 67 and 50
  Swap 67 and 50
  List after swap: [-65, -63, -17, 58, -3, 50, 67, -14, 71]
  Compare 67 and -14
  Swap 67 and -14
  List after swap: [-65, -63, -17, 58, -3, 50, -14, 67, 71]

Pass 3:
  Compare -65 and -63
  No swap needed
  Compare -63 and -17
  No swap needed
  Compare -17 and 58
  No swap needed
  Compare 58 and -3
  Swap 58 and -3
  List after swap: [-65, -63, -17, -3, 58, 50, -14, 67, 71]
  Compare 58 and 50
  Swap 58 and 50
  List after swap: [-65, -63, -17, -3, 50, 58, -14, 67, 71]
  Compare 58 and -14
  Swap 58 and -14
  List after swap: [-65, -63, -17, -3, 50, -14, 58, 67, 71]

Pass 4:
  Compare -65 and -63
  No swap needed
  Compare -63 and -17
  No swap needed
  Compare -17 and -3
  No swap needed
  Compare -3 and 50
  No swap needed
  Compare 50 and -14
  Swap 50 and -14
  List after swap: [-65, -63, -17, -3, -14, 50, 58, 67, 71]

Pass 5:
  Compare -65 and -63
  No swap needed
  Compare -63 and -17
  No swap needed
  Compare -17 and -3
  No swap needed
  Compare -3 and -14
  Swap -3 and -14
  List after swap: [-65, -63, -17, -14, -3, 50, 58, 67, 71]

Pass 6:
  Compare -65 and -63
  No swap needed
  Compare -63 and -17
  No swap needed
  Compare -17 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -63, -17, -14, -3, 50, 58, 67, 71]
</think>

<response>-65, -63, -17, -14, -3, 50, 58, 67, 71</response>


input: Use the bubble sort technique to reorder -77, -94, 47 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-77, -94, 47]

Pass 1:
  Compare -77 and -94
  Swap -77 and -94
  List after swap: [-94, -77, 47]
  Compare -77 and 47
  No swap needed

Pass 2:
  Compare -94 and -77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -77, 47]
</think>

<response>-94, -77, 47</response>


input: Carry out the bubble sort algorithm on -88, -100, -91, 80, -33, -7, 82, -89, 48 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-88, -100, -91, 80, -33, -7, 82, -89, 48]

Pass 1:
  Compare -88 and -100
  Swap -88 and -100
  List after swap: [-100, -88, -91, 80, -33, -7, 82, -89, 48]
  Compare -88 and -91
  Swap -88 and -91
  List after swap: [-100, -91, -88, 80, -33, -7, 82, -89, 48]
  Compare -88 and 80
  No swap needed
  Compare 80 and -33
  Swap 80 and -33
  List after swap: [-100, -91, -88, -33, 80, -7, 82, -89, 48]
  Compare 80 and -7
  Swap 80 and -7
  List after swap: [-100, -91, -88, -33, -7, 80, 82, -89, 48]
  Compare 80 and 82
  No swap needed
  Compare 82 and -89
  Swap 82 and -89
  List after swap: [-100, -91, -88, -33, -7, 80, -89, 82, 48]
  Compare 82 and 48
  Swap 82 and 48
  List after swap: [-100, -91, -88, -33, -7, 80, -89, 48, 82]

Pass 2:
  Compare -100 and -91
  No swap needed
  Compare -91 and -88
  No swap needed
  Compare -88 and -33
  No swap needed
  Compare -33 and -7
  No swap needed
  Compare -7 and 80
  No swap needed
  Compare 80 and -89
  Swap 80 and -89
  List after swap: [-100, -91, -88, -33, -7, -89, 80, 48, 82]
  Compare 80 and 48
  Swap 80 and 48
  List after swap: [-100, -91, -88, -33, -7, -89, 48, 80, 82]

Pass 3:
  Compare -100 and -91
  No swap needed
  Compare -91 and -88
  No swap needed
  Compare -88 and -33
  No swap needed
  Compare -33 and -7
  No swap needed
  Compare -7 and -89
  Swap -7 and -89
  List after swap: [-100, -91, -88, -33, -89, -7, 48, 80, 82]
  Compare -7 and 48
  No swap needed

Pass 4:
  Compare -100 and -91
  No swap needed
  Compare -91 and -88
  No swap needed
  Compare -88 and -33
  No swap needed
  Compare -33 and -89
  Swap -33 and -89
  List after swap: [-100, -91, -88, -89, -33, -7, 48, 80, 82]
  Compare -33 and -7
  No swap needed

Pass 5:
  Compare -100 and -91
  No swap needed
  Compare -91 and -88
  No swap needed
  Compare -88 and -89
  Swap -88 and -89
  List after swap: [-100, -91, -89, -88, -33, -7, 48, 80, 82]
  Compare -88 and -33
  No swap needed

Pass 6:
  Compare -100 and -91
  No swap needed
  Compare -91 and -89
  No swap needed
  Compare -89 and -88
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -91, -89, -88, -33, -7, 48, 80, 82]
</think>

<response>-100, -91, -89, -88, -33, -7, 48, 80, 82</response>


input: Use the bubble sort technique to reorder 26, -99, -96, 90, -83, 51, 35, -31, -77, 94 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [26, -99, -96, 90, -83, 51, 35, -31, -77, 94]

Pass 1:
  Compare 26 and -99
  Swap 26 and -99
  List after swap: [-99, 26, -96, 90, -83, 51, 35, -31, -77, 94]
  Compare 26 and -96
  Swap 26 and -96
  List after swap: [-99, -96, 26, 90, -83, 51, 35, -31, -77, 94]
  Compare 26 and 90
  No swap needed
  Compare 90 and -83
  Swap 90 and -83
  List after swap: [-99, -96, 26, -83, 90, 51, 35, -31, -77, 94]
  Compare 90 and 51
  Swap 90 and 51
  List after swap: [-99, -96, 26, -83, 51, 90, 35, -31, -77, 94]
  Compare 90 and 35
  Swap 90 and 35
  List after swap: [-99, -96, 26, -83, 51, 35, 90, -31, -77, 94]
  Compare 90 and -31
  Swap 90 and -31
  List after swap: [-99, -96, 26, -83, 51, 35, -31, 90, -77, 94]
  Compare 90 and -77
  Swap 90 and -77
  List after swap: [-99, -96, 26, -83, 51, 35, -31, -77, 90, 94]
  Compare 90 and 94
  No swap needed

Pass 2:
  Compare -99 and -96
  No swap needed
  Compare -96 and 26
  No swap needed
  Compare 26 and -83
  Swap 26 and -83
  List after swap: [-99, -96, -83, 26, 51, 35, -31, -77, 90, 94]
  Compare 26 and 51
  No swap needed
  Compare 51 and 35
  Swap 51 and 35
  List after swap: [-99, -96, -83, 26, 35, 51, -31, -77, 90, 94]
  Compare 51 and -31
  Swap 51 and -31
  List after swap: [-99, -96, -83, 26, 35, -31, 51, -77, 90, 94]
  Compare 51 and -77
  Swap 51 and -77
  List after swap: [-99, -96, -83, 26, 35, -31, -77, 51, 90, 94]
  Compare 51 and 90
  No swap needed

Pass 3:
  Compare -99 and -96
  No swap needed
  Compare -96 and -83
  No swap needed
  Compare -83 and 26
  No swap needed
  Compare 26 and 35
  No swap needed
  Compare 35 and -31
  Swap 35 and -31
  List after swap: [-99, -96, -83, 26, -31, 35, -77, 51, 90, 94]
  Compare 35 and -77
  Swap 35 and -77
  List after swap: [-99, -96, -83, 26, -31, -77, 35, 51, 90, 94]
  Compare 35 and 51
  No swap needed

Pass 4:
  Compare -99 and -96
  No swap needed
  Compare -96 and -83
  No swap needed
  Compare -83 and 26
  No swap needed
  Compare 26 and -31
  Swap 26 and -31
  List after swap: [-99, -96, -83, -31, 26, -77, 35, 51, 90, 94]
  Compare 26 and -77
  Swap 26 and -77
  List after swap: [-99, -96, -83, -31, -77, 26, 35, 51, 90, 94]
  Compare 26 and 35
  No swap needed

Pass 5:
  Compare -99 and -96
  No swap needed
  Compare -96 and -83
  No swap needed
  Compare -83 and -31
  No swap needed
  Compare -31 and -77
  Swap -31 and -77
  List after swap: [-99, -96, -83, -77, -31, 26, 35, 51, 90, 94]
  Compare -31 and 26
  No swap needed

Pass 6:
  Compare -99 and -96
  No swap needed
  Compare -96 and -83
  No swap needed
  Compare -83 and -77
  No swap needed
  Compare -77 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -96, -83, -77, -31, 26, 35, 51, 90, 94]
</think>

<response>-99, -96, -83, -77, -31, 26, 35, 51, 90, 94</response>


input: Perform a bubble sort on the integers -68, 96, -1, -14, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-68, 96, -1, -14]

Pass 1:
  Compare -68 and 96
  No swap needed
  Compare 96 and -1
  Swap 96 and -1
  List after swap: [-68, -1, 96, -14]
  Compare 96 and -14
  Swap 96 and -14
  List after swap: [-68, -1, -14, 96]

Pass 2:
  Compare -68 and -1
  No swap needed
  Compare -1 and -14
  Swap -1 and -14
  List after swap: [-68, -14, -1, 96]

Pass 3:
  Compare -68 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -14, -1, 96]
</think>

<response>-68, -14, -1, 96</response>


input: Perform a bubble sort on the integers 24, -94, 67, 29, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [24, -94, 67, 29]

Pass 1:
  Compare 24 and -94
  Swap 24 and -94
  List after swap: [-94, 24, 67, 29]
  Compare 24 and 67
  No swap needed
  Compare 67 and 29
  Swap 67 and 29
  List after swap: [-94, 24, 29, 67]

Pass 2:
  Compare -94 and 24
  No swap needed
  Compare 24 and 29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, 24, 29, 67]
</think>

<response>-94, 24, 29, 67</response>


input: Use the bubble sort technique to reorder -52, 58, 26, 43, 0, 91, 72, 37, -6, 79 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-52, 58, 26, 43, 0, 91, 72, 37, -6, 79]

Pass 1:
  Compare -52 and 58
  No swap needed
  Compare 58 and 26
  Swap 58 and 26
  List after swap: [-52, 26, 58, 43, 0, 91, 72, 37, -6, 79]
  Compare 58 and 43
  Swap 58 and 43
  List after swap: [-52, 26, 43, 58, 0, 91, 72, 37, -6, 79]
  Compare 58 and 0
  Swap 58 and 0
  List after swap: [-52, 26, 43, 0, 58, 91, 72, 37, -6, 79]
  Compare 58 and 91
  No swap needed
  Compare 91 and 72
  Swap 91 and 72
  List after swap: [-52, 26, 43, 0, 58, 72, 91, 37, -6, 79]
  Compare 91 and 37
  Swap 91 and 37
  List after swap: [-52, 26, 43, 0, 58, 72, 37, 91, -6, 79]
  Compare 91 and -6
  Swap 91 and -6
  List after swap: [-52, 26, 43, 0, 58, 72, 37, -6, 91, 79]
  Compare 91 and 79
  Swap 91 and 79
  List after swap: [-52, 26, 43, 0, 58, 72, 37, -6, 79, 91]

Pass 2:
  Compare -52 and 26
  No swap needed
  Compare 26 and 43
  No swap needed
  Compare 43 and 0
  Swap 43 and 0
  List after swap: [-52, 26, 0, 43, 58, 72, 37, -6, 79, 91]
  Compare 43 and 58
  No swap needed
  Compare 58 and 72
  No swap needed
  Compare 72 and 37
  Swap 72 and 37
  List after swap: [-52, 26, 0, 43, 58, 37, 72, -6, 79, 91]
  Compare 72 and -6
  Swap 72 and -6
  List after swap: [-52, 26, 0, 43, 58, 37, -6, 72, 79, 91]
  Compare 72 and 79
  No swap needed

Pass 3:
  Compare -52 and 26
  No swap needed
  Compare 26 and 0
  Swap 26 and 0
  List after swap: [-52, 0, 26, 43, 58, 37, -6, 72, 79, 91]
  Compare 26 and 43
  No swap needed
  Compare 43 and 58
  No swap needed
  Compare 58 and 37
  Swap 58 and 37
  List after swap: [-52, 0, 26, 43, 37, 58, -6, 72, 79, 91]
  Compare 58 and -6
  Swap 58 and -6
  List after swap: [-52, 0, 26, 43, 37, -6, 58, 72, 79, 91]
  Compare 58 and 72
  No swap needed

Pass 4:
  Compare -52 and 0
  No swap needed
  Compare 0 and 26
  No swap needed
  Compare 26 and 43
  No swap needed
  Compare 43 and 37
  Swap 43 and 37
  List after swap: [-52, 0, 26, 37, 43, -6, 58, 72, 79, 91]
  Compare 43 and -6
  Swap 43 and -6
  List after swap: [-52, 0, 26, 37, -6, 43, 58, 72, 79, 91]
  Compare 43 and 58
  No swap needed

Pass 5:
  Compare -52 and 0
  No swap needed
  Compare 0 and 26
  No swap needed
  Compare 26 and 37
  No swap needed
  Compare 37 and -6
  Swap 37 and -6
  List after swap: [-52, 0, 26, -6, 37, 43, 58, 72, 79, 91]
  Compare 37 and 43
  No swap needed

Pass 6:
  Compare -52 and 0
  No swap needed
  Compare 0 and 26
  No swap needed
  Compare 26 and -6
  Swap 26 and -6
  List after swap: [-52, 0, -6, 26, 37, 43, 58, 72, 79, 91]
  Compare 26 and 37
  No swap needed

Pass 7:
  Compare -52 and 0
  No swap needed
  Compare 0 and -6
  Swap 0 and -6
  List after swap: [-52, -6, 0, 26, 37, 43, 58, 72, 79, 91]
  Compare 0 and 26
  No swap needed

Pass 8:
  Compare -52 and -6
  No swap needed
  Compare -6 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, -6, 0, 26, 37, 43, 58, 72, 79, 91]
</think>

<response>-52, -6, 0, 26, 37, 43, 58, 72, 79, 91</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 81, -10, -35, -9, -96.

output:
<think>
Initial list: [81, -10, -35, -9, -96]

Pass 1:
  Compare 81 and -10
  Swap 81 and -10
  List after swap: [-10, 81, -35, -9, -96]
  Compare 81 and -35
  Swap 81 and -35
  List after swap: [-10, -35, 81, -9, -96]
  Compare 81 and -9
  Swap 81 and -9
  List after swap: [-10, -35, -9, 81, -96]
  Compare 81 and -96
  Swap 81 and -96
  List after swap: [-10, -35, -9, -96, 81]

Pass 2:
  Compare -10 and -35
  Swap -10 and -35
  List after swap: [-35, -10, -9, -96, 81]
  Compare -10 and -9
  No swap needed
  Compare -9 and -96
  Swap -9 and -96
  List after swap: [-35, -10, -96, -9, 81]

Pass 3:
  Compare -35 and -10
  No swap needed
  Compare -10 and -96
  Swap -10 and -96
  List after swap: [-35, -96, -10, -9, 81]

Pass 4:
  Compare -35 and -96
  Swap -35 and -96
  List after swap: [-96, -35, -10, -9, 81]

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

Final sorted list: [-96, -35, -10, -9, 81]
</think>

<response>-96, -35, -10, -9, 81</response>


input: Sort the list -16, 46, -71 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-16, 46, -71]

Pass 1:
  Compare -16 and 46
  No swap needed
  Compare 46 and -71
  Swap 46 and -71
  List after swap: [-16, -71, 46]

Pass 2:
  Compare -16 and -71
  Swap -16 and -71
  List after swap: [-71, -16, 46]

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

Final sorted list: [-71, -16, 46]
</think>

<response>-71, -16, 46</response>


input: Execute bubble sort to sort -76, -42, 47, -69, -55, -62, 99, 32, 46 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-76, -42, 47, -69, -55, -62, 99, 32, 46]

Pass 1:
  Compare -76 and -42
  No swap needed
  Compare -42 and 47
  No swap needed
  Compare 47 and -69
  Swap 47 and -69
  List after swap: [-76, -42, -69, 47, -55, -62, 99, 32, 46]
  Compare 47 and -55
  Swap 47 and -55
  List after swap: [-76, -42, -69, -55, 47, -62, 99, 32, 46]
  Compare 47 and -62
  Swap 47 and -62
  List after swap: [-76, -42, -69, -55, -62, 47, 99, 32, 46]
  Compare 47 and 99
  No swap needed
  Compare 99 and 32
  Swap 99 and 32
  List after swap: [-76, -42, -69, -55, -62, 47, 32, 99, 46]
  Compare 99 and 46
  Swap 99 and 46
  List after swap: [-76, -42, -69, -55, -62, 47, 32, 46, 99]

Pass 2:
  Compare -76 and -42
  No swap needed
  Compare -42 and -69
  Swap -42 and -69
  List after swap: [-76, -69, -42, -55, -62, 47, 32, 46, 99]
  Compare -42 and -55
  Swap -42 and -55
  List after swap: [-76, -69, -55, -42, -62, 47, 32, 46, 99]
  Compare -42 and -62
  Swap -42 and -62
  List after swap: [-76, -69, -55, -62, -42, 47, 32, 46, 99]
  Compare -42 and 47
  No swap needed
  Compare 47 and 32
  Swap 47 and 32
  List after swap: [-76, -69, -55, -62, -42, 32, 47, 46, 99]
  Compare 47 and 46
  Swap 47 and 46
  List after swap: [-76, -69, -55, -62, -42, 32, 46, 47, 99]

Pass 3:
  Compare -76 and -69
  No swap needed
  Compare -69 and -55
  No swap needed
  Compare -55 and -62
  Swap -55 and -62
  List after swap: [-76, -69, -62, -55, -42, 32, 46, 47, 99]
  Compare -55 and -42
  No swap needed
  Compare -42 and 32
  No swap needed
  Compare 32 and 46
  No swap needed

Pass 4:
  Compare -76 and -69
  No swap needed
  Compare -69 and -62
  No swap needed
  Compare -62 and -55
  No swap needed
  Compare -55 and -42
  No swap needed
  Compare -42 and 32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -69, -62, -55, -42, 32, 46, 47, 99]
</think>

<response>-76, -69, -62, -55, -42, 32, 46, 47, 99</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -32, 33, -76, -79.

output:
<think>
Initial list: [-32, 33, -76, -79]

Pass 1:
  Compare -32 and 33
  No swap needed
  Compare 33 and -76
  Swap 33 and -76
  List after swap: [-32, -76, 33, -79]
  Compare 33 and -79
  Swap 33 and -79
  List after swap: [-32, -76, -79, 33]

Pass 2:
  Compare -32 and -76
  Swap -32 and -76
  List after swap: [-76, -32, -79, 33]
  Compare -32 and -79
  Swap -32 and -79
  List after swap: [-76, -79, -32, 33]

Pass 3:
  Compare -76 and -79
  Swap -76 and -79
  List after swap: [-79, -76, -32, 33]

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

Final sorted list: [-79, -76, -32, 33]
</think>

<response>-79, -76, -32, 33</response>


input: Execute bubble sort to sort 21, -9, 60, -77, -65, -81 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [21, -9, 60, -77, -65, -81]

Pass 1:
  Compare 21 and -9
  Swap 21 and -9
  List after swap: [-9, 21, 60, -77, -65, -81]
  Compare 21 and 60
  No swap needed
  Compare 60 and -77
  Swap 60 and -77
  List after swap: [-9, 21, -77, 60, -65, -81]
  Compare 60 and -65
  Swap 60 and -65
  List after swap: [-9, 21, -77, -65, 60, -81]
  Compare 60 and -81
  Swap 60 and -81
  List after swap: [-9, 21, -77, -65, -81, 60]

Pass 2:
  Compare -9 and 21
  No swap needed
  Compare 21 and -77
  Swap 21 and -77
  List after swap: [-9, -77, 21, -65, -81, 60]
  Compare 21 and -65
  Swap 21 and -65
  List after swap: [-9, -77, -65, 21, -81, 60]
  Compare 21 and -81
  Swap 21 and -81
  List after swap: [-9, -77, -65, -81, 21, 60]

Pass 3:
  Compare -9 and -77
  Swap -9 and -77
  List after swap: [-77, -9, -65, -81, 21, 60]
  Compare -9 and -65
  Swap -9 and -65
  List after swap: [-77, -65, -9, -81, 21, 60]
  Compare -9 and -81
  Swap -9 and -81
  List after swap: [-77, -65, -81, -9, 21, 60]

Pass 4:
  Compare -77 and -65
  No swap needed
  Compare -65 and -81
  Swap -65 and -81
  List after swap: [-77, -81, -65, -9, 21, 60]

Pass 5:
  Compare -77 and -81
  Swap -77 and -81
  List after swap: [-81, -77, -65, -9, 21, 60]

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

Final sorted list: [-81, -77, -65, -9, 21, 60]
</think>

<response>-81, -77, -65, -9, 21, 60</response>