input: Use bubble sort to organize these integers in increasing order and record each step taken: -62, -78, -44, -90, 41, 20, -47, -21.

output:
<think>
Initial list: [-62, -78, -44, -90, 41, 20, -47, -21]

Pass 1:
  Compare -62 and -78
  Swap -62 and -78
  List after swap: [-78, -62, -44, -90, 41, 20, -47, -21]
  Compare -62 and -44
  No swap needed
  Compare -44 and -90
  Swap -44 and -90
  List after swap: [-78, -62, -90, -44, 41, 20, -47, -21]
  Compare -44 and 41
  No swap needed
  Compare 41 and 20
  Swap 41 and 20
  List after swap: [-78, -62, -90, -44, 20, 41, -47, -21]
  Compare 41 and -47
  Swap 41 and -47
  List after swap: [-78, -62, -90, -44, 20, -47, 41, -21]
  Compare 41 and -21
  Swap 41 and -21
  List after swap: [-78, -62, -90, -44, 20, -47, -21, 41]

Pass 2:
  Compare -78 and -62
  No swap needed
  Compare -62 and -90
  Swap -62 and -90
  List after swap: [-78, -90, -62, -44, 20, -47, -21, 41]
  Compare -62 and -44
  No swap needed
  Compare -44 and 20
  No swap needed
  Compare 20 and -47
  Swap 20 and -47
  List after swap: [-78, -90, -62, -44, -47, 20, -21, 41]
  Compare 20 and -21
  Swap 20 and -21
  List after swap: [-78, -90, -62, -44, -47, -21, 20, 41]

Pass 3:
  Compare -78 and -90
  Swap -78 and -90
  List after swap: [-90, -78, -62, -44, -47, -21, 20, 41]
  Compare -78 and -62
  No swap needed
  Compare -62 and -44
  No swap needed
  Compare -44 and -47
  Swap -44 and -47
  List after swap: [-90, -78, -62, -47, -44, -21, 20, 41]
  Compare -44 and -21
  No swap needed

Pass 4:
  Compare -90 and -78
  No swap needed
  Compare -78 and -62
  No swap needed
  Compare -62 and -47
  No swap needed
  Compare -47 and -44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -78, -62, -47, -44, -21, 20, 41]
</think>

<response>-90, -78, -62, -47, -44, -21, 20, 41</response>


input: Use the bubble sort technique to reorder 64, -10, 51, 63, 40, -12, 83 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [64, -10, 51, 63, 40, -12, 83]

Pass 1:
  Compare 64 and -10
  Swap 64 and -10
  List after swap: [-10, 64, 51, 63, 40, -12, 83]
  Compare 64 and 51
  Swap 64 and 51
  List after swap: [-10, 51, 64, 63, 40, -12, 83]
  Compare 64 and 63
  Swap 64 and 63
  List after swap: [-10, 51, 63, 64, 40, -12, 83]
  Compare 64 and 40
  Swap 64 and 40
  List after swap: [-10, 51, 63, 40, 64, -12, 83]
  Compare 64 and -12
  Swap 64 and -12
  List after swap: [-10, 51, 63, 40, -12, 64, 83]
  Compare 64 and 83
  No swap needed

Pass 2:
  Compare -10 and 51
  No swap needed
  Compare 51 and 63
  No swap needed
  Compare 63 and 40
  Swap 63 and 40
  List after swap: [-10, 51, 40, 63, -12, 64, 83]
  Compare 63 and -12
  Swap 63 and -12
  List after swap: [-10, 51, 40, -12, 63, 64, 83]
  Compare 63 and 64
  No swap needed

Pass 3:
  Compare -10 and 51
  No swap needed
  Compare 51 and 40
  Swap 51 and 40
  List after swap: [-10, 40, 51, -12, 63, 64, 83]
  Compare 51 and -12
  Swap 51 and -12
  List after swap: [-10, 40, -12, 51, 63, 64, 83]
  Compare 51 and 63
  No swap needed

Pass 4:
  Compare -10 and 40
  No swap needed
  Compare 40 and -12
  Swap 40 and -12
  List after swap: [-10, -12, 40, 51, 63, 64, 83]
  Compare 40 and 51
  No swap needed

Pass 5:
  Compare -10 and -12
  Swap -10 and -12
  List after swap: [-12, -10, 40, 51, 63, 64, 83]
  Compare -10 and 40
  No swap needed

Pass 6:
  Compare -12 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-12, -10, 40, 51, 63, 64, 83]
</think>

<response>-12, -10, 40, 51, 63, 64, 83</response>


input: Using the bubble sort method, sort -60, -79, 40, 66 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-60, -79, 40, 66]

Pass 1:
  Compare -60 and -79
  Swap -60 and -79
  List after swap: [-79, -60, 40, 66]
  Compare -60 and 40
  No swap needed
  Compare 40 and 66
  No swap needed

Pass 2:
  Compare -79 and -60
  No swap needed
  Compare -60 and 40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -60, 40, 66]
</think>

<response>-79, -60, 40, 66</response>


input: Using the bubble sort method, sort 85, -39 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [85, -39]

Pass 1:
  Compare 85 and -39
  Swap 85 and -39
  List after swap: [-39, 85]

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

Final sorted list: [-39, 85]
</think>

<response>-39, 85</response>


input: Carry out the bubble sort algorithm on -86, 27, 30, 68, -77, 61 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-86, 27, 30, 68, -77, 61]

Pass 1:
  Compare -86 and 27
  No swap needed
  Compare 27 and 30
  No swap needed
  Compare 30 and 68
  No swap needed
  Compare 68 and -77
  Swap 68 and -77
  List after swap: [-86, 27, 30, -77, 68, 61]
  Compare 68 and 61
  Swap 68 and 61
  List after swap: [-86, 27, 30, -77, 61, 68]

Pass 2:
  Compare -86 and 27
  No swap needed
  Compare 27 and 30
  No swap needed
  Compare 30 and -77
  Swap 30 and -77
  List after swap: [-86, 27, -77, 30, 61, 68]
  Compare 30 and 61
  No swap needed

Pass 3:
  Compare -86 and 27
  No swap needed
  Compare 27 and -77
  Swap 27 and -77
  List after swap: [-86, -77, 27, 30, 61, 68]
  Compare 27 and 30
  No swap needed

Pass 4:
  Compare -86 and -77
  No swap needed
  Compare -77 and 27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -77, 27, 30, 61, 68]
</think>

<response>-86, -77, 27, 30, 61, 68</response>


input: Carry out the bubble sort algorithm on -2, -73 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-2, -73]

Pass 1:
  Compare -2 and -73
  Swap -2 and -73
  List after swap: [-73, -2]

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

Final sorted list: [-73, -2]
</think>

<response>-73, -2</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 73, 8, -50, -84, 12, 93, -2, -35, 61.

output:
<think>
Initial list: [73, 8, -50, -84, 12, 93, -2, -35, 61]

Pass 1:
  Compare 73 and 8
  Swap 73 and 8
  List after swap: [8, 73, -50, -84, 12, 93, -2, -35, 61]
  Compare 73 and -50
  Swap 73 and -50
  List after swap: [8, -50, 73, -84, 12, 93, -2, -35, 61]
  Compare 73 and -84
  Swap 73 and -84
  List after swap: [8, -50, -84, 73, 12, 93, -2, -35, 61]
  Compare 73 and 12
  Swap 73 and 12
  List after swap: [8, -50, -84, 12, 73, 93, -2, -35, 61]
  Compare 73 and 93
  No swap needed
  Compare 93 and -2
  Swap 93 and -2
  List after swap: [8, -50, -84, 12, 73, -2, 93, -35, 61]
  Compare 93 and -35
  Swap 93 and -35
  List after swap: [8, -50, -84, 12, 73, -2, -35, 93, 61]
  Compare 93 and 61
  Swap 93 and 61
  List after swap: [8, -50, -84, 12, 73, -2, -35, 61, 93]

Pass 2:
  Compare 8 and -50
  Swap 8 and -50
  List after swap: [-50, 8, -84, 12, 73, -2, -35, 61, 93]
  Compare 8 and -84
  Swap 8 and -84
  List after swap: [-50, -84, 8, 12, 73, -2, -35, 61, 93]
  Compare 8 and 12
  No swap needed
  Compare 12 and 73
  No swap needed
  Compare 73 and -2
  Swap 73 and -2
  List after swap: [-50, -84, 8, 12, -2, 73, -35, 61, 93]
  Compare 73 and -35
  Swap 73 and -35
  List after swap: [-50, -84, 8, 12, -2, -35, 73, 61, 93]
  Compare 73 and 61
  Swap 73 and 61
  List after swap: [-50, -84, 8, 12, -2, -35, 61, 73, 93]

Pass 3:
  Compare -50 and -84
  Swap -50 and -84
  List after swap: [-84, -50, 8, 12, -2, -35, 61, 73, 93]
  Compare -50 and 8
  No swap needed
  Compare 8 and 12
  No swap needed
  Compare 12 and -2
  Swap 12 and -2
  List after swap: [-84, -50, 8, -2, 12, -35, 61, 73, 93]
  Compare 12 and -35
  Swap 12 and -35
  List after swap: [-84, -50, 8, -2, -35, 12, 61, 73, 93]
  Compare 12 and 61
  No swap needed

Pass 4:
  Compare -84 and -50
  No swap needed
  Compare -50 and 8
  No swap needed
  Compare 8 and -2
  Swap 8 and -2
  List after swap: [-84, -50, -2, 8, -35, 12, 61, 73, 93]
  Compare 8 and -35
  Swap 8 and -35
  List after swap: [-84, -50, -2, -35, 8, 12, 61, 73, 93]
  Compare 8 and 12
  No swap needed

Pass 5:
  Compare -84 and -50
  No swap needed
  Compare -50 and -2
  No swap needed
  Compare -2 and -35
  Swap -2 and -35
  List after swap: [-84, -50, -35, -2, 8, 12, 61, 73, 93]
  Compare -2 and 8
  No swap needed

Pass 6:
  Compare -84 and -50
  No swap needed
  Compare -50 and -35
  No swap needed
  Compare -35 and -2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -50, -35, -2, 8, 12, 61, 73, 93]
</think>

<response>-84, -50, -35, -2, 8, 12, 61, 73, 93</response>


input: Use the bubble sort technique to reorder 79, 84, 61, -68, 89, -9, 24, 25, -37, 52 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [79, 84, 61, -68, 89, -9, 24, 25, -37, 52]

Pass 1:
  Compare 79 and 84
  No swap needed
  Compare 84 and 61
  Swap 84 and 61
  List after swap: [79, 61, 84, -68, 89, -9, 24, 25, -37, 52]
  Compare 84 and -68
  Swap 84 and -68
  List after swap: [79, 61, -68, 84, 89, -9, 24, 25, -37, 52]
  Compare 84 and 89
  No swap needed
  Compare 89 and -9
  Swap 89 and -9
  List after swap: [79, 61, -68, 84, -9, 89, 24, 25, -37, 52]
  Compare 89 and 24
  Swap 89 and 24
  List after swap: [79, 61, -68, 84, -9, 24, 89, 25, -37, 52]
  Compare 89 and 25
  Swap 89 and 25
  List after swap: [79, 61, -68, 84, -9, 24, 25, 89, -37, 52]
  Compare 89 and -37
  Swap 89 and -37
  List after swap: [79, 61, -68, 84, -9, 24, 25, -37, 89, 52]
  Compare 89 and 52
  Swap 89 and 52
  List after swap: [79, 61, -68, 84, -9, 24, 25, -37, 52, 89]

Pass 2:
  Compare 79 and 61
  Swap 79 and 61
  List after swap: [61, 79, -68, 84, -9, 24, 25, -37, 52, 89]
  Compare 79 and -68
  Swap 79 and -68
  List after swap: [61, -68, 79, 84, -9, 24, 25, -37, 52, 89]
  Compare 79 and 84
  No swap needed
  Compare 84 and -9
  Swap 84 and -9
  List after swap: [61, -68, 79, -9, 84, 24, 25, -37, 52, 89]
  Compare 84 and 24
  Swap 84 and 24
  List after swap: [61, -68, 79, -9, 24, 84, 25, -37, 52, 89]
  Compare 84 and 25
  Swap 84 and 25
  List after swap: [61, -68, 79, -9, 24, 25, 84, -37, 52, 89]
  Compare 84 and -37
  Swap 84 and -37
  List after swap: [61, -68, 79, -9, 24, 25, -37, 84, 52, 89]
  Compare 84 and 52
  Swap 84 and 52
  List after swap: [61, -68, 79, -9, 24, 25, -37, 52, 84, 89]

Pass 3:
  Compare 61 and -68
  Swap 61 and -68
  List after swap: [-68, 61, 79, -9, 24, 25, -37, 52, 84, 89]
  Compare 61 and 79
  No swap needed
  Compare 79 and -9
  Swap 79 and -9
  List after swap: [-68, 61, -9, 79, 24, 25, -37, 52, 84, 89]
  Compare 79 and 24
  Swap 79 and 24
  List after swap: [-68, 61, -9, 24, 79, 25, -37, 52, 84, 89]
  Compare 79 and 25
  Swap 79 and 25
  List after swap: [-68, 61, -9, 24, 25, 79, -37, 52, 84, 89]
  Compare 79 and -37
  Swap 79 and -37
  List after swap: [-68, 61, -9, 24, 25, -37, 79, 52, 84, 89]
  Compare 79 and 52
  Swap 79 and 52
  List after swap: [-68, 61, -9, 24, 25, -37, 52, 79, 84, 89]

Pass 4:
  Compare -68 and 61
  No swap needed
  Compare 61 and -9
  Swap 61 and -9
  List after swap: [-68, -9, 61, 24, 25, -37, 52, 79, 84, 89]
  Compare 61 and 24
  Swap 61 and 24
  List after swap: [-68, -9, 24, 61, 25, -37, 52, 79, 84, 89]
  Compare 61 and 25
  Swap 61 and 25
  List after swap: [-68, -9, 24, 25, 61, -37, 52, 79, 84, 89]
  Compare 61 and -37
  Swap 61 and -37
  List after swap: [-68, -9, 24, 25, -37, 61, 52, 79, 84, 89]
  Compare 61 and 52
  Swap 61 and 52
  List after swap: [-68, -9, 24, 25, -37, 52, 61, 79, 84, 89]

Pass 5:
  Compare -68 and -9
  No swap needed
  Compare -9 and 24
  No swap needed
  Compare 24 and 25
  No swap needed
  Compare 25 and -37
  Swap 25 and -37
  List after swap: [-68, -9, 24, -37, 25, 52, 61, 79, 84, 89]
  Compare 25 and 52
  No swap needed

Pass 6:
  Compare -68 and -9
  No swap needed
  Compare -9 and 24
  No swap needed
  Compare 24 and -37
  Swap 24 and -37
  List after swap: [-68, -9, -37, 24, 25, 52, 61, 79, 84, 89]
  Compare 24 and 25
  No swap needed

Pass 7:
  Compare -68 and -9
  No swap needed
  Compare -9 and -37
  Swap -9 and -37
  List after swap: [-68, -37, -9, 24, 25, 52, 61, 79, 84, 89]
  Compare -9 and 24
  No swap needed

Pass 8:
  Compare -68 and -37
  No swap needed
  Compare -37 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -37, -9, 24, 25, 52, 61, 79, 84, 89]
</think>

<response>-68, -37, -9, 24, 25, 52, 61, 79, 84, 89</response>


input: Arrange the numbers 37, 91, 95, -81, -45, 52, -14 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [37, 91, 95, -81, -45, 52, -14]

Pass 1:
  Compare 37 and 91
  No swap needed
  Compare 91 and 95
  No swap needed
  Compare 95 and -81
  Swap 95 and -81
  List after swap: [37, 91, -81, 95, -45, 52, -14]
  Compare 95 and -45
  Swap 95 and -45
  List after swap: [37, 91, -81, -45, 95, 52, -14]
  Compare 95 and 52
  Swap 95 and 52
  List after swap: [37, 91, -81, -45, 52, 95, -14]
  Compare 95 and -14
  Swap 95 and -14
  List after swap: [37, 91, -81, -45, 52, -14, 95]

Pass 2:
  Compare 37 and 91
  No swap needed
  Compare 91 and -81
  Swap 91 and -81
  List after swap: [37, -81, 91, -45, 52, -14, 95]
  Compare 91 and -45
  Swap 91 and -45
  List after swap: [37, -81, -45, 91, 52, -14, 95]
  Compare 91 and 52
  Swap 91 and 52
  List after swap: [37, -81, -45, 52, 91, -14, 95]
  Compare 91 and -14
  Swap 91 and -14
  List after swap: [37, -81, -45, 52, -14, 91, 95]

Pass 3:
  Compare 37 and -81
  Swap 37 and -81
  List after swap: [-81, 37, -45, 52, -14, 91, 95]
  Compare 37 and -45
  Swap 37 and -45
  List after swap: [-81, -45, 37, 52, -14, 91, 95]
  Compare 37 and 52
  No swap needed
  Compare 52 and -14
  Swap 52 and -14
  List after swap: [-81, -45, 37, -14, 52, 91, 95]

Pass 4:
  Compare -81 and -45
  No swap needed
  Compare -45 and 37
  No swap needed
  Compare 37 and -14
  Swap 37 and -14
  List after swap: [-81, -45, -14, 37, 52, 91, 95]

Pass 5:
  Compare -81 and -45
  No swap needed
  Compare -45 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -45, -14, 37, 52, 91, 95]
</think>

<response>-81, -45, -14, 37, 52, 91, 95</response>


input: Implement bubble sort on 1, 85 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [1, 85]

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

Final sorted list: [1, 85]
</think>

<response>1, 85</response>


input: Using the bubble sort method, sort 64, 94, 51 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [64, 94, 51]

Pass 1:
  Compare 64 and 94
  No swap needed
  Compare 94 and 51
  Swap 94 and 51
  List after swap: [64, 51, 94]

Pass 2:
  Compare 64 and 51
  Swap 64 and 51
  List after swap: [51, 64, 94]

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

Final sorted list: [51, 64, 94]
</think>

<response>51, 64, 94</response>


input: Implement bubble sort on 56, 77, 33, 97, -99, 95 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [56, 77, 33, 97, -99, 95]

Pass 1:
  Compare 56 and 77
  No swap needed
  Compare 77 and 33
  Swap 77 and 33
  List after swap: [56, 33, 77, 97, -99, 95]
  Compare 77 and 97
  No swap needed
  Compare 97 and -99
  Swap 97 and -99
  List after swap: [56, 33, 77, -99, 97, 95]
  Compare 97 and 95
  Swap 97 and 95
  List after swap: [56, 33, 77, -99, 95, 97]

Pass 2:
  Compare 56 and 33
  Swap 56 and 33
  List after swap: [33, 56, 77, -99, 95, 97]
  Compare 56 and 77
  No swap needed
  Compare 77 and -99
  Swap 77 and -99
  List after swap: [33, 56, -99, 77, 95, 97]
  Compare 77 and 95
  No swap needed

Pass 3:
  Compare 33 and 56
  No swap needed
  Compare 56 and -99
  Swap 56 and -99
  List after swap: [33, -99, 56, 77, 95, 97]
  Compare 56 and 77
  No swap needed

Pass 4:
  Compare 33 and -99
  Swap 33 and -99
  List after swap: [-99, 33, 56, 77, 95, 97]
  Compare 33 and 56
  No swap needed

Pass 5:
  Compare -99 and 33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, 33, 56, 77, 95, 97]
</think>

<response>-99, 33, 56, 77, 95, 97</response>


input: Carry out the bubble sort algorithm on 85, -72, 59, -36, -57, -50, 32 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [85, -72, 59, -36, -57, -50, 32]

Pass 1:
  Compare 85 and -72
  Swap 85 and -72
  List after swap: [-72, 85, 59, -36, -57, -50, 32]
  Compare 85 and 59
  Swap 85 and 59
  List after swap: [-72, 59, 85, -36, -57, -50, 32]
  Compare 85 and -36
  Swap 85 and -36
  List after swap: [-72, 59, -36, 85, -57, -50, 32]
  Compare 85 and -57
  Swap 85 and -57
  List after swap: [-72, 59, -36, -57, 85, -50, 32]
  Compare 85 and -50
  Swap 85 and -50
  List after swap: [-72, 59, -36, -57, -50, 85, 32]
  Compare 85 and 32
  Swap 85 and 32
  List after swap: [-72, 59, -36, -57, -50, 32, 85]

Pass 2:
  Compare -72 and 59
  No swap needed
  Compare 59 and -36
  Swap 59 and -36
  List after swap: [-72, -36, 59, -57, -50, 32, 85]
  Compare 59 and -57
  Swap 59 and -57
  List after swap: [-72, -36, -57, 59, -50, 32, 85]
  Compare 59 and -50
  Swap 59 and -50
  List after swap: [-72, -36, -57, -50, 59, 32, 85]
  Compare 59 and 32
  Swap 59 and 32
  List after swap: [-72, -36, -57, -50, 32, 59, 85]

Pass 3:
  Compare -72 and -36
  No swap needed
  Compare -36 and -57
  Swap -36 and -57
  List after swap: [-72, -57, -36, -50, 32, 59, 85]
  Compare -36 and -50
  Swap -36 and -50
  List after swap: [-72, -57, -50, -36, 32, 59, 85]
  Compare -36 and 32
  No swap needed

Pass 4:
  Compare -72 and -57
  No swap needed
  Compare -57 and -50
  No swap needed
  Compare -50 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -57, -50, -36, 32, 59, 85]
</think>

<response>-72, -57, -50, -36, 32, 59, 85</response>


input: Sort these integers -17, -83, -4, -69, 18, 15, -79, 83, -37, 67 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-17, -83, -4, -69, 18, 15, -79, 83, -37, 67]

Pass 1:
  Compare -17 and -83
  Swap -17 and -83
  List after swap: [-83, -17, -4, -69, 18, 15, -79, 83, -37, 67]
  Compare -17 and -4
  No swap needed
  Compare -4 and -69
  Swap -4 and -69
  List after swap: [-83, -17, -69, -4, 18, 15, -79, 83, -37, 67]
  Compare -4 and 18
  No swap needed
  Compare 18 and 15
  Swap 18 and 15
  List after swap: [-83, -17, -69, -4, 15, 18, -79, 83, -37, 67]
  Compare 18 and -79
  Swap 18 and -79
  List after swap: [-83, -17, -69, -4, 15, -79, 18, 83, -37, 67]
  Compare 18 and 83
  No swap needed
  Compare 83 and -37
  Swap 83 and -37
  List after swap: [-83, -17, -69, -4, 15, -79, 18, -37, 83, 67]
  Compare 83 and 67
  Swap 83 and 67
  List after swap: [-83, -17, -69, -4, 15, -79, 18, -37, 67, 83]

Pass 2:
  Compare -83 and -17
  No swap needed
  Compare -17 and -69
  Swap -17 and -69
  List after swap: [-83, -69, -17, -4, 15, -79, 18, -37, 67, 83]
  Compare -17 and -4
  No swap needed
  Compare -4 and 15
  No swap needed
  Compare 15 and -79
  Swap 15 and -79
  List after swap: [-83, -69, -17, -4, -79, 15, 18, -37, 67, 83]
  Compare 15 and 18
  No swap needed
  Compare 18 and -37
  Swap 18 and -37
  List after swap: [-83, -69, -17, -4, -79, 15, -37, 18, 67, 83]
  Compare 18 and 67
  No swap needed

Pass 3:
  Compare -83 and -69
  No swap needed
  Compare -69 and -17
  No swap needed
  Compare -17 and -4
  No swap needed
  Compare -4 and -79
  Swap -4 and -79
  List after swap: [-83, -69, -17, -79, -4, 15, -37, 18, 67, 83]
  Compare -4 and 15
  No swap needed
  Compare 15 and -37
  Swap 15 and -37
  List after swap: [-83, -69, -17, -79, -4, -37, 15, 18, 67, 83]
  Compare 15 and 18
  No swap needed

Pass 4:
  Compare -83 and -69
  No swap needed
  Compare -69 and -17
  No swap needed
  Compare -17 and -79
  Swap -17 and -79
  List after swap: [-83, -69, -79, -17, -4, -37, 15, 18, 67, 83]
  Compare -17 and -4
  No swap needed
  Compare -4 and -37
  Swap -4 and -37
  List after swap: [-83, -69, -79, -17, -37, -4, 15, 18, 67, 83]
  Compare -4 and 15
  No swap needed

Pass 5:
  Compare -83 and -69
  No swap needed
  Compare -69 and -79
  Swap -69 and -79
  List after swap: [-83, -79, -69, -17, -37, -4, 15, 18, 67, 83]
  Compare -69 and -17
  No swap needed
  Compare -17 and -37
  Swap -17 and -37
  List after swap: [-83, -79, -69, -37, -17, -4, 15, 18, 67, 83]
  Compare -17 and -4
  No swap needed

Pass 6:
  Compare -83 and -79
  No swap needed
  Compare -79 and -69
  No swap needed
  Compare -69 and -37
  No swap needed
  Compare -37 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -79, -69, -37, -17, -4, 15, 18, 67, 83]
</think>

<response>-83, -79, -69, -37, -17, -4, 15, 18, 67, 83</response>


input: Carry out the bubble sort algorithm on -88, -41 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-88, -41]

Pass 1:
  Compare -88 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -41]
</think>

<response>-88, -41</response>


input: Implement bubble sort on 51, 72, -89, -66, -33 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [51, 72, -89, -66, -33]

Pass 1:
  Compare 51 and 72
  No swap needed
  Compare 72 and -89
  Swap 72 and -89
  List after swap: [51, -89, 72, -66, -33]
  Compare 72 and -66
  Swap 72 and -66
  List after swap: [51, -89, -66, 72, -33]
  Compare 72 and -33
  Swap 72 and -33
  List after swap: [51, -89, -66, -33, 72]

Pass 2:
  Compare 51 and -89
  Swap 51 and -89
  List after swap: [-89, 51, -66, -33, 72]
  Compare 51 and -66
  Swap 51 and -66
  List after swap: [-89, -66, 51, -33, 72]
  Compare 51 and -33
  Swap 51 and -33
  List after swap: [-89, -66, -33, 51, 72]

Pass 3:
  Compare -89 and -66
  No swap needed
  Compare -66 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -66, -33, 51, 72]
</think>

<response>-89, -66, -33, 51, 72</response>


input: Use the bubble sort technique to reorder -20, -87, 15, 59, -58, -76, 74, 11 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-20, -87, 15, 59, -58, -76, 74, 11]

Pass 1:
  Compare -20 and -87
  Swap -20 and -87
  List after swap: [-87, -20, 15, 59, -58, -76, 74, 11]
  Compare -20 and 15
  No swap needed
  Compare 15 and 59
  No swap needed
  Compare 59 and -58
  Swap 59 and -58
  List after swap: [-87, -20, 15, -58, 59, -76, 74, 11]
  Compare 59 and -76
  Swap 59 and -76
  List after swap: [-87, -20, 15, -58, -76, 59, 74, 11]
  Compare 59 and 74
  No swap needed
  Compare 74 and 11
  Swap 74 and 11
  List after swap: [-87, -20, 15, -58, -76, 59, 11, 74]

Pass 2:
  Compare -87 and -20
  No swap needed
  Compare -20 and 15
  No swap needed
  Compare 15 and -58
  Swap 15 and -58
  List after swap: [-87, -20, -58, 15, -76, 59, 11, 74]
  Compare 15 and -76
  Swap 15 and -76
  List after swap: [-87, -20, -58, -76, 15, 59, 11, 74]
  Compare 15 and 59
  No swap needed
  Compare 59 and 11
  Swap 59 and 11
  List after swap: [-87, -20, -58, -76, 15, 11, 59, 74]

Pass 3:
  Compare -87 and -20
  No swap needed
  Compare -20 and -58
  Swap -20 and -58
  List after swap: [-87, -58, -20, -76, 15, 11, 59, 74]
  Compare -20 and -76
  Swap -20 and -76
  List after swap: [-87, -58, -76, -20, 15, 11, 59, 74]
  Compare -20 and 15
  No swap needed
  Compare 15 and 11
  Swap 15 and 11
  List after swap: [-87, -58, -76, -20, 11, 15, 59, 74]

Pass 4:
  Compare -87 and -58
  No swap needed
  Compare -58 and -76
  Swap -58 and -76
  List after swap: [-87, -76, -58, -20, 11, 15, 59, 74]
  Compare -58 and -20
  No swap needed
  Compare -20 and 11
  No swap needed

Pass 5:
  Compare -87 and -76
  No swap needed
  Compare -76 and -58
  No swap needed
  Compare -58 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -76, -58, -20, 11, 15, 59, 74]
</think>

<response>-87, -76, -58, -20, 11, 15, 59, 74</response>


input: Sort the list -4, -52, -49, 73, 72, 74, -17, 85, -21 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-4, -52, -49, 73, 72, 74, -17, 85, -21]

Pass 1:
  Compare -4 and -52
  Swap -4 and -52
  List after swap: [-52, -4, -49, 73, 72, 74, -17, 85, -21]
  Compare -4 and -49
  Swap -4 and -49
  List after swap: [-52, -49, -4, 73, 72, 74, -17, 85, -21]
  Compare -4 and 73
  No swap needed
  Compare 73 and 72
  Swap 73 and 72
  List after swap: [-52, -49, -4, 72, 73, 74, -17, 85, -21]
  Compare 73 and 74
  No swap needed
  Compare 74 and -17
  Swap 74 and -17
  List after swap: [-52, -49, -4, 72, 73, -17, 74, 85, -21]
  Compare 74 and 85
  No swap needed
  Compare 85 and -21
  Swap 85 and -21
  List after swap: [-52, -49, -4, 72, 73, -17, 74, -21, 85]

Pass 2:
  Compare -52 and -49
  No swap needed
  Compare -49 and -4
  No swap needed
  Compare -4 and 72
  No swap needed
  Compare 72 and 73
  No swap needed
  Compare 73 and -17
  Swap 73 and -17
  List after swap: [-52, -49, -4, 72, -17, 73, 74, -21, 85]
  Compare 73 and 74
  No swap needed
  Compare 74 and -21
  Swap 74 and -21
  List after swap: [-52, -49, -4, 72, -17, 73, -21, 74, 85]

Pass 3:
  Compare -52 and -49
  No swap needed
  Compare -49 and -4
  No swap needed
  Compare -4 and 72
  No swap needed
  Compare 72 and -17
  Swap 72 and -17
  List after swap: [-52, -49, -4, -17, 72, 73, -21, 74, 85]
  Compare 72 and 73
  No swap needed
  Compare 73 and -21
  Swap 73 and -21
  List after swap: [-52, -49, -4, -17, 72, -21, 73, 74, 85]

Pass 4:
  Compare -52 and -49
  No swap needed
  Compare -49 and -4
  No swap needed
  Compare -4 and -17
  Swap -4 and -17
  List after swap: [-52, -49, -17, -4, 72, -21, 73, 74, 85]
  Compare -4 and 72
  No swap needed
  Compare 72 and -21
  Swap 72 and -21
  List after swap: [-52, -49, -17, -4, -21, 72, 73, 74, 85]

Pass 5:
  Compare -52 and -49
  No swap needed
  Compare -49 and -17
  No swap needed
  Compare -17 and -4
  No swap needed
  Compare -4 and -21
  Swap -4 and -21
  List after swap: [-52, -49, -17, -21, -4, 72, 73, 74, 85]

Pass 6:
  Compare -52 and -49
  No swap needed
  Compare -49 and -17
  No swap needed
  Compare -17 and -21
  Swap -17 and -21
  List after swap: [-52, -49, -21, -17, -4, 72, 73, 74, 85]

Pass 7:
  Compare -52 and -49
  No swap needed
  Compare -49 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, -49, -21, -17, -4, 72, 73, 74, 85]
</think>

<response>-52, -49, -21, -17, -4, 72, 73, 74, 85</response>


input: Execute bubble sort to sort -20, 69 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-20, 69]

Pass 1:
  Compare -20 and 69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-20, 69]
</think>

<response>-20, 69</response>


input: Execute bubble sort to sort 81, -79, -72, -67, 53, -26, 24, -49, 16, 26 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [81, -79, -72, -67, 53, -26, 24, -49, 16, 26]

Pass 1:
  Compare 81 and -79
  Swap 81 and -79
  List after swap: [-79, 81, -72, -67, 53, -26, 24, -49, 16, 26]
  Compare 81 and -72
  Swap 81 and -72
  List after swap: [-79, -72, 81, -67, 53, -26, 24, -49, 16, 26]
  Compare 81 and -67
  Swap 81 and -67
  List after swap: [-79, -72, -67, 81, 53, -26, 24, -49, 16, 26]
  Compare 81 and 53
  Swap 81 and 53
  List after swap: [-79, -72, -67, 53, 81, -26, 24, -49, 16, 26]
  Compare 81 and -26
  Swap 81 and -26
  List after swap: [-79, -72, -67, 53, -26, 81, 24, -49, 16, 26]
  Compare 81 and 24
  Swap 81 and 24
  List after swap: [-79, -72, -67, 53, -26, 24, 81, -49, 16, 26]
  Compare 81 and -49
  Swap 81 and -49
  List after swap: [-79, -72, -67, 53, -26, 24, -49, 81, 16, 26]
  Compare 81 and 16
  Swap 81 and 16
  List after swap: [-79, -72, -67, 53, -26, 24, -49, 16, 81, 26]
  Compare 81 and 26
  Swap 81 and 26
  List after swap: [-79, -72, -67, 53, -26, 24, -49, 16, 26, 81]

Pass 2:
  Compare -79 and -72
  No swap needed
  Compare -72 and -67
  No swap needed
  Compare -67 and 53
  No swap needed
  Compare 53 and -26
  Swap 53 and -26
  List after swap: [-79, -72, -67, -26, 53, 24, -49, 16, 26, 81]
  Compare 53 and 24
  Swap 53 and 24
  List after swap: [-79, -72, -67, -26, 24, 53, -49, 16, 26, 81]
  Compare 53 and -49
  Swap 53 and -49
  List after swap: [-79, -72, -67, -26, 24, -49, 53, 16, 26, 81]
  Compare 53 and 16
  Swap 53 and 16
  List after swap: [-79, -72, -67, -26, 24, -49, 16, 53, 26, 81]
  Compare 53 and 26
  Swap 53 and 26
  List after swap: [-79, -72, -67, -26, 24, -49, 16, 26, 53, 81]

Pass 3:
  Compare -79 and -72
  No swap needed
  Compare -72 and -67
  No swap needed
  Compare -67 and -26
  No swap needed
  Compare -26 and 24
  No swap needed
  Compare 24 and -49
  Swap 24 and -49
  List after swap: [-79, -72, -67, -26, -49, 24, 16, 26, 53, 81]
  Compare 24 and 16
  Swap 24 and 16
  List after swap: [-79, -72, -67, -26, -49, 16, 24, 26, 53, 81]
  Compare 24 and 26
  No swap needed

Pass 4:
  Compare -79 and -72
  No swap needed
  Compare -72 and -67
  No swap needed
  Compare -67 and -26
  No swap needed
  Compare -26 and -49
  Swap -26 and -49
  List after swap: [-79, -72, -67, -49, -26, 16, 24, 26, 53, 81]
  Compare -26 and 16
  No swap needed
  Compare 16 and 24
  No swap needed

Pass 5:
  Compare -79 and -72
  No swap needed
  Compare -72 and -67
  No swap needed
  Compare -67 and -49
  No swap needed
  Compare -49 and -26
  No swap needed
  Compare -26 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -72, -67, -49, -26, 16, 24, 26, 53, 81]
</think>

<response>-79, -72, -67, -49, -26, 16, 24, 26, 53, 81</response>


input: Carry out the bubble sort algorithm on 38, -76, 24, -75, -91, 78 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [38, -76, 24, -75, -91, 78]

Pass 1:
  Compare 38 and -76
  Swap 38 and -76
  List after swap: [-76, 38, 24, -75, -91, 78]
  Compare 38 and 24
  Swap 38 and 24
  List after swap: [-76, 24, 38, -75, -91, 78]
  Compare 38 and -75
  Swap 38 and -75
  List after swap: [-76, 24, -75, 38, -91, 78]
  Compare 38 and -91
  Swap 38 and -91
  List after swap: [-76, 24, -75, -91, 38, 78]
  Compare 38 and 78
  No swap needed

Pass 2:
  Compare -76 and 24
  No swap needed
  Compare 24 and -75
  Swap 24 and -75
  List after swap: [-76, -75, 24, -91, 38, 78]
  Compare 24 and -91
  Swap 24 and -91
  List after swap: [-76, -75, -91, 24, 38, 78]
  Compare 24 and 38
  No swap needed

Pass 3:
  Compare -76 and -75
  No swap needed
  Compare -75 and -91
  Swap -75 and -91
  List after swap: [-76, -91, -75, 24, 38, 78]
  Compare -75 and 24
  No swap needed

Pass 4:
  Compare -76 and -91
  Swap -76 and -91
  List after swap: [-91, -76, -75, 24, 38, 78]
  Compare -76 and -75
  No swap needed

Pass 5:
  Compare -91 and -76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -76, -75, 24, 38, 78]
</think>

<response>-91, -76, -75, 24, 38, 78</response>


input: Carry out the bubble sort algorithm on -66, -73 to arrange them from smallest to largest, documenting each step.

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

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

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

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

<response>-73, -66</response>


input: Use the bubble sort technique to reorder 54, 1, 41, 18, 58, 70 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [54, 1, 41, 18, 58, 70]

Pass 1:
  Compare 54 and 1
  Swap 54 and 1
  List after swap: [1, 54, 41, 18, 58, 70]
  Compare 54 and 41
  Swap 54 and 41
  List after swap: [1, 41, 54, 18, 58, 70]
  Compare 54 and 18
  Swap 54 and 18
  List after swap: [1, 41, 18, 54, 58, 70]
  Compare 54 and 58
  No swap needed
  Compare 58 and 70
  No swap needed

Pass 2:
  Compare 1 and 41
  No swap needed
  Compare 41 and 18
  Swap 41 and 18
  List after swap: [1, 18, 41, 54, 58, 70]
  Compare 41 and 54
  No swap needed
  Compare 54 and 58
  No swap needed

Pass 3:
  Compare 1 and 18
  No swap needed
  Compare 18 and 41
  No swap needed
  Compare 41 and 54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [1, 18, 41, 54, 58, 70]
</think>

<response>1, 18, 41, 54, 58, 70</response>


input: Demonstrate how bubble sort orders the integers -80, 47, -75 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-80, 47, -75]

Pass 1:
  Compare -80 and 47
  No swap needed
  Compare 47 and -75
  Swap 47 and -75
  List after swap: [-80, -75, 47]

Pass 2:
  Compare -80 and -75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -75, 47]
</think>

<response>-80, -75, 47</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 58, -98, -92, 7, 22, -61.

output:
<think>
Initial list: [58, -98, -92, 7, 22, -61]

Pass 1:
  Compare 58 and -98
  Swap 58 and -98
  List after swap: [-98, 58, -92, 7, 22, -61]
  Compare 58 and -92
  Swap 58 and -92
  List after swap: [-98, -92, 58, 7, 22, -61]
  Compare 58 and 7
  Swap 58 and 7
  List after swap: [-98, -92, 7, 58, 22, -61]
  Compare 58 and 22
  Swap 58 and 22
  List after swap: [-98, -92, 7, 22, 58, -61]
  Compare 58 and -61
  Swap 58 and -61
  List after swap: [-98, -92, 7, 22, -61, 58]

Pass 2:
  Compare -98 and -92
  No swap needed
  Compare -92 and 7
  No swap needed
  Compare 7 and 22
  No swap needed
  Compare 22 and -61
  Swap 22 and -61
  List after swap: [-98, -92, 7, -61, 22, 58]

Pass 3:
  Compare -98 and -92
  No swap needed
  Compare -92 and 7
  No swap needed
  Compare 7 and -61
  Swap 7 and -61
  List after swap: [-98, -92, -61, 7, 22, 58]

Pass 4:
  Compare -98 and -92
  No swap needed
  Compare -92 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -92, -61, 7, 22, 58]
</think>

<response>-98, -92, -61, 7, 22, 58</response>


input: Carry out the bubble sort algorithm on 88, 2, 78, 81, 85, -6, -20, 96, 24 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [88, 2, 78, 81, 85, -6, -20, 96, 24]

Pass 1:
  Compare 88 and 2
  Swap 88 and 2
  List after swap: [2, 88, 78, 81, 85, -6, -20, 96, 24]
  Compare 88 and 78
  Swap 88 and 78
  List after swap: [2, 78, 88, 81, 85, -6, -20, 96, 24]
  Compare 88 and 81
  Swap 88 and 81
  List after swap: [2, 78, 81, 88, 85, -6, -20, 96, 24]
  Compare 88 and 85
  Swap 88 and 85
  List after swap: [2, 78, 81, 85, 88, -6, -20, 96, 24]
  Compare 88 and -6
  Swap 88 and -6
  List after swap: [2, 78, 81, 85, -6, 88, -20, 96, 24]
  Compare 88 and -20
  Swap 88 and -20
  List after swap: [2, 78, 81, 85, -6, -20, 88, 96, 24]
  Compare 88 and 96
  No swap needed
  Compare 96 and 24
  Swap 96 and 24
  List after swap: [2, 78, 81, 85, -6, -20, 88, 24, 96]

Pass 2:
  Compare 2 and 78
  No swap needed
  Compare 78 and 81
  No swap needed
  Compare 81 and 85
  No swap needed
  Compare 85 and -6
  Swap 85 and -6
  List after swap: [2, 78, 81, -6, 85, -20, 88, 24, 96]
  Compare 85 and -20
  Swap 85 and -20
  List after swap: [2, 78, 81, -6, -20, 85, 88, 24, 96]
  Compare 85 and 88
  No swap needed
  Compare 88 and 24
  Swap 88 and 24
  List after swap: [2, 78, 81, -6, -20, 85, 24, 88, 96]

Pass 3:
  Compare 2 and 78
  No swap needed
  Compare 78 and 81
  No swap needed
  Compare 81 and -6
  Swap 81 and -6
  List after swap: [2, 78, -6, 81, -20, 85, 24, 88, 96]
  Compare 81 and -20
  Swap 81 and -20
  List after swap: [2, 78, -6, -20, 81, 85, 24, 88, 96]
  Compare 81 and 85
  No swap needed
  Compare 85 and 24
  Swap 85 and 24
  List after swap: [2, 78, -6, -20, 81, 24, 85, 88, 96]

Pass 4:
  Compare 2 and 78
  No swap needed
  Compare 78 and -6
  Swap 78 and -6
  List after swap: [2, -6, 78, -20, 81, 24, 85, 88, 96]
  Compare 78 and -20
  Swap 78 and -20
  List after swap: [2, -6, -20, 78, 81, 24, 85, 88, 96]
  Compare 78 and 81
  No swap needed
  Compare 81 and 24
  Swap 81 and 24
  List after swap: [2, -6, -20, 78, 24, 81, 85, 88, 96]

Pass 5:
  Compare 2 and -6
  Swap 2 and -6
  List after swap: [-6, 2, -20, 78, 24, 81, 85, 88, 96]
  Compare 2 and -20
  Swap 2 and -20
  List after swap: [-6, -20, 2, 78, 24, 81, 85, 88, 96]
  Compare 2 and 78
  No swap needed
  Compare 78 and 24
  Swap 78 and 24
  List after swap: [-6, -20, 2, 24, 78, 81, 85, 88, 96]

Pass 6:
  Compare -6 and -20
  Swap -6 and -20
  List after swap: [-20, -6, 2, 24, 78, 81, 85, 88, 96]
  Compare -6 and 2
  No swap needed
  Compare 2 and 24
  No swap needed

Pass 7:
  Compare -20 and -6
  No swap needed
  Compare -6 and 2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-20, -6, 2, 24, 78, 81, 85, 88, 96]
</think>

<response>-20, -6, 2, 24, 78, 81, 85, 88, 96</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -3, -33, -72, -36, -43, 8, 84, 98, -50.

output:
<think>
Initial list: [-3, -33, -72, -36, -43, 8, 84, 98, -50]

Pass 1:
  Compare -3 and -33
  Swap -3 and -33
  List after swap: [-33, -3, -72, -36, -43, 8, 84, 98, -50]
  Compare -3 and -72
  Swap -3 and -72
  List after swap: [-33, -72, -3, -36, -43, 8, 84, 98, -50]
  Compare -3 and -36
  Swap -3 and -36
  List after swap: [-33, -72, -36, -3, -43, 8, 84, 98, -50]
  Compare -3 and -43
  Swap -3 and -43
  List after swap: [-33, -72, -36, -43, -3, 8, 84, 98, -50]
  Compare -3 and 8
  No swap needed
  Compare 8 and 84
  No swap needed
  Compare 84 and 98
  No swap needed
  Compare 98 and -50
  Swap 98 and -50
  List after swap: [-33, -72, -36, -43, -3, 8, 84, -50, 98]

Pass 2:
  Compare -33 and -72
  Swap -33 and -72
  List after swap: [-72, -33, -36, -43, -3, 8, 84, -50, 98]
  Compare -33 and -36
  Swap -33 and -36
  List after swap: [-72, -36, -33, -43, -3, 8, 84, -50, 98]
  Compare -33 and -43
  Swap -33 and -43
  List after swap: [-72, -36, -43, -33, -3, 8, 84, -50, 98]
  Compare -33 and -3
  No swap needed
  Compare -3 and 8
  No swap needed
  Compare 8 and 84
  No swap needed
  Compare 84 and -50
  Swap 84 and -50
  List after swap: [-72, -36, -43, -33, -3, 8, -50, 84, 98]

Pass 3:
  Compare -72 and -36
  No swap needed
  Compare -36 and -43
  Swap -36 and -43
  List after swap: [-72, -43, -36, -33, -3, 8, -50, 84, 98]
  Compare -36 and -33
  No swap needed
  Compare -33 and -3
  No swap needed
  Compare -3 and 8
  No swap needed
  Compare 8 and -50
  Swap 8 and -50
  List after swap: [-72, -43, -36, -33, -3, -50, 8, 84, 98]

Pass 4:
  Compare -72 and -43
  No swap needed
  Compare -43 and -36
  No swap needed
  Compare -36 and -33
  No swap needed
  Compare -33 and -3
  No swap needed
  Compare -3 and -50
  Swap -3 and -50
  List after swap: [-72, -43, -36, -33, -50, -3, 8, 84, 98]

Pass 5:
  Compare -72 and -43
  No swap needed
  Compare -43 and -36
  No swap needed
  Compare -36 and -33
  No swap needed
  Compare -33 and -50
  Swap -33 and -50
  List after swap: [-72, -43, -36, -50, -33, -3, 8, 84, 98]

Pass 6:
  Compare -72 and -43
  No swap needed
  Compare -43 and -36
  No swap needed
  Compare -36 and -50
  Swap -36 and -50
  List after swap: [-72, -43, -50, -36, -33, -3, 8, 84, 98]

Pass 7:
  Compare -72 and -43
  No swap needed
  Compare -43 and -50
  Swap -43 and -50
  List after swap: [-72, -50, -43, -36, -33, -3, 8, 84, 98]

Pass 8:
  Compare -72 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -50, -43, -36, -33, -3, 8, 84, 98]
</think>

<response>-72, -50, -43, -36, -33, -3, 8, 84, 98</response>


input: Carry out the bubble sort algorithm on -5, 40, -94, 41, -88, 1, 89, 74, -16 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-5, 40, -94, 41, -88, 1, 89, 74, -16]

Pass 1:
  Compare -5 and 40
  No swap needed
  Compare 40 and -94
  Swap 40 and -94
  List after swap: [-5, -94, 40, 41, -88, 1, 89, 74, -16]
  Compare 40 and 41
  No swap needed
  Compare 41 and -88
  Swap 41 and -88
  List after swap: [-5, -94, 40, -88, 41, 1, 89, 74, -16]
  Compare 41 and 1
  Swap 41 and 1
  List after swap: [-5, -94, 40, -88, 1, 41, 89, 74, -16]
  Compare 41 and 89
  No swap needed
  Compare 89 and 74
  Swap 89 and 74
  List after swap: [-5, -94, 40, -88, 1, 41, 74, 89, -16]
  Compare 89 and -16
  Swap 89 and -16
  List after swap: [-5, -94, 40, -88, 1, 41, 74, -16, 89]

Pass 2:
  Compare -5 and -94
  Swap -5 and -94
  List after swap: [-94, -5, 40, -88, 1, 41, 74, -16, 89]
  Compare -5 and 40
  No swap needed
  Compare 40 and -88
  Swap 40 and -88
  List after swap: [-94, -5, -88, 40, 1, 41, 74, -16, 89]
  Compare 40 and 1
  Swap 40 and 1
  List after swap: [-94, -5, -88, 1, 40, 41, 74, -16, 89]
  Compare 40 and 41
  No swap needed
  Compare 41 and 74
  No swap needed
  Compare 74 and -16
  Swap 74 and -16
  List after swap: [-94, -5, -88, 1, 40, 41, -16, 74, 89]

Pass 3:
  Compare -94 and -5
  No swap needed
  Compare -5 and -88
  Swap -5 and -88
  List after swap: [-94, -88, -5, 1, 40, 41, -16, 74, 89]
  Compare -5 and 1
  No swap needed
  Compare 1 and 40
  No swap needed
  Compare 40 and 41
  No swap needed
  Compare 41 and -16
  Swap 41 and -16
  List after swap: [-94, -88, -5, 1, 40, -16, 41, 74, 89]

Pass 4:
  Compare -94 and -88
  No swap needed
  Compare -88 and -5
  No swap needed
  Compare -5 and 1
  No swap needed
  Compare 1 and 40
  No swap needed
  Compare 40 and -16
  Swap 40 and -16
  List after swap: [-94, -88, -5, 1, -16, 40, 41, 74, 89]

Pass 5:
  Compare -94 and -88
  No swap needed
  Compare -88 and -5
  No swap needed
  Compare -5 and 1
  No swap needed
  Compare 1 and -16
  Swap 1 and -16
  List after swap: [-94, -88, -5, -16, 1, 40, 41, 74, 89]

Pass 6:
  Compare -94 and -88
  No swap needed
  Compare -88 and -5
  No swap needed
  Compare -5 and -16
  Swap -5 and -16
  List after swap: [-94, -88, -16, -5, 1, 40, 41, 74, 89]

Pass 7:
  Compare -94 and -88
  No swap needed
  Compare -88 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -88, -16, -5, 1, 40, 41, 74, 89]
</think>

<response>-94, -88, -16, -5, 1, 40, 41, 74, 89</response>


input: Arrange the numbers -64, -29, 79, -5, -42, -48 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-64, -29, 79, -5, -42, -48]

Pass 1:
  Compare -64 and -29
  No swap needed
  Compare -29 and 79
  No swap needed
  Compare 79 and -5
  Swap 79 and -5
  List after swap: [-64, -29, -5, 79, -42, -48]
  Compare 79 and -42
  Swap 79 and -42
  List after swap: [-64, -29, -5, -42, 79, -48]
  Compare 79 and -48
  Swap 79 and -48
  List after swap: [-64, -29, -5, -42, -48, 79]

Pass 2:
  Compare -64 and -29
  No swap needed
  Compare -29 and -5
  No swap needed
  Compare -5 and -42
  Swap -5 and -42
  List after swap: [-64, -29, -42, -5, -48, 79]
  Compare -5 and -48
  Swap -5 and -48
  List after swap: [-64, -29, -42, -48, -5, 79]

Pass 3:
  Compare -64 and -29
  No swap needed
  Compare -29 and -42
  Swap -29 and -42
  List after swap: [-64, -42, -29, -48, -5, 79]
  Compare -29 and -48
  Swap -29 and -48
  List after swap: [-64, -42, -48, -29, -5, 79]

Pass 4:
  Compare -64 and -42
  No swap needed
  Compare -42 and -48
  Swap -42 and -48
  List after swap: [-64, -48, -42, -29, -5, 79]

Pass 5:
  Compare -64 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -48, -42, -29, -5, 79]
</think>

<response>-64, -48, -42, -29, -5, 79</response>


input: Carry out the bubble sort algorithm on -15, -55, 21, -53 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-15, -55, 21, -53]

Pass 1:
  Compare -15 and -55
  Swap -15 and -55
  List after swap: [-55, -15, 21, -53]
  Compare -15 and 21
  No swap needed
  Compare 21 and -53
  Swap 21 and -53
  List after swap: [-55, -15, -53, 21]

Pass 2:
  Compare -55 and -15
  No swap needed
  Compare -15 and -53
  Swap -15 and -53
  List after swap: [-55, -53, -15, 21]

Pass 3:
  Compare -55 and -53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, -53, -15, 21]
</think>

<response>-55, -53, -15, 21</response>


input: Using the bubble sort method, sort -100, 56, 11, -11 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-100, 56, 11, -11]

Pass 1:
  Compare -100 and 56
  No swap needed
  Compare 56 and 11
  Swap 56 and 11
  List after swap: [-100, 11, 56, -11]
  Compare 56 and -11
  Swap 56 and -11
  List after swap: [-100, 11, -11, 56]

Pass 2:
  Compare -100 and 11
  No swap needed
  Compare 11 and -11
  Swap 11 and -11
  List after swap: [-100, -11, 11, 56]

Pass 3:
  Compare -100 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -11, 11, 56]
</think>

<response>-100, -11, 11, 56</response>


input: Implement bubble sort on 21, 32, -42, -90, -98, 8, -31, -88, -94, 63 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [21, 32, -42, -90, -98, 8, -31, -88, -94, 63]

Pass 1:
  Compare 21 and 32
  No swap needed
  Compare 32 and -42
  Swap 32 and -42
  List after swap: [21, -42, 32, -90, -98, 8, -31, -88, -94, 63]
  Compare 32 and -90
  Swap 32 and -90
  List after swap: [21, -42, -90, 32, -98, 8, -31, -88, -94, 63]
  Compare 32 and -98
  Swap 32 and -98
  List after swap: [21, -42, -90, -98, 32, 8, -31, -88, -94, 63]
  Compare 32 and 8
  Swap 32 and 8
  List after swap: [21, -42, -90, -98, 8, 32, -31, -88, -94, 63]
  Compare 32 and -31
  Swap 32 and -31
  List after swap: [21, -42, -90, -98, 8, -31, 32, -88, -94, 63]
  Compare 32 and -88
  Swap 32 and -88
  List after swap: [21, -42, -90, -98, 8, -31, -88, 32, -94, 63]
  Compare 32 and -94
  Swap 32 and -94
  List after swap: [21, -42, -90, -98, 8, -31, -88, -94, 32, 63]
  Compare 32 and 63
  No swap needed

Pass 2:
  Compare 21 and -42
  Swap 21 and -42
  List after swap: [-42, 21, -90, -98, 8, -31, -88, -94, 32, 63]
  Compare 21 and -90
  Swap 21 and -90
  List after swap: [-42, -90, 21, -98, 8, -31, -88, -94, 32, 63]
  Compare 21 and -98
  Swap 21 and -98
  List after swap: [-42, -90, -98, 21, 8, -31, -88, -94, 32, 63]
  Compare 21 and 8
  Swap 21 and 8
  List after swap: [-42, -90, -98, 8, 21, -31, -88, -94, 32, 63]
  Compare 21 and -31
  Swap 21 and -31
  List after swap: [-42, -90, -98, 8, -31, 21, -88, -94, 32, 63]
  Compare 21 and -88
  Swap 21 and -88
  List after swap: [-42, -90, -98, 8, -31, -88, 21, -94, 32, 63]
  Compare 21 and -94
  Swap 21 and -94
  List after swap: [-42, -90, -98, 8, -31, -88, -94, 21, 32, 63]
  Compare 21 and 32
  No swap needed

Pass 3:
  Compare -42 and -90
  Swap -42 and -90
  List after swap: [-90, -42, -98, 8, -31, -88, -94, 21, 32, 63]
  Compare -42 and -98
  Swap -42 and -98
  List after swap: [-90, -98, -42, 8, -31, -88, -94, 21, 32, 63]
  Compare -42 and 8
  No swap needed
  Compare 8 and -31
  Swap 8 and -31
  List after swap: [-90, -98, -42, -31, 8, -88, -94, 21, 32, 63]
  Compare 8 and -88
  Swap 8 and -88
  List after swap: [-90, -98, -42, -31, -88, 8, -94, 21, 32, 63]
  Compare 8 and -94
  Swap 8 and -94
  List after swap: [-90, -98, -42, -31, -88, -94, 8, 21, 32, 63]
  Compare 8 and 21
  No swap needed

Pass 4:
  Compare -90 and -98
  Swap -90 and -98
  List after swap: [-98, -90, -42, -31, -88, -94, 8, 21, 32, 63]
  Compare -90 and -42
  No swap needed
  Compare -42 and -31
  No swap needed
  Compare -31 and -88
  Swap -31 and -88
  List after swap: [-98, -90, -42, -88, -31, -94, 8, 21, 32, 63]
  Compare -31 and -94
  Swap -31 and -94
  List after swap: [-98, -90, -42, -88, -94, -31, 8, 21, 32, 63]
  Compare -31 and 8
  No swap needed

Pass 5:
  Compare -98 and -90
  No swap needed
  Compare -90 and -42
  No swap needed
  Compare -42 and -88
  Swap -42 and -88
  List after swap: [-98, -90, -88, -42, -94, -31, 8, 21, 32, 63]
  Compare -42 and -94
  Swap -42 and -94
  List after swap: [-98, -90, -88, -94, -42, -31, 8, 21, 32, 63]
  Compare -42 and -31
  No swap needed

Pass 6:
  Compare -98 and -90
  No swap needed
  Compare -90 and -88
  No swap needed
  Compare -88 and -94
  Swap -88 and -94
  List after swap: [-98, -90, -94, -88, -42, -31, 8, 21, 32, 63]
  Compare -88 and -42
  No swap needed

Pass 7:
  Compare -98 and -90
  No swap needed
  Compare -90 and -94
  Swap -90 and -94
  List after swap: [-98, -94, -90, -88, -42, -31, 8, 21, 32, 63]
  Compare -90 and -88
  No swap needed

Pass 8:
  Compare -98 and -94
  No swap needed
  Compare -94 and -90
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -94, -90, -88, -42, -31, 8, 21, 32, 63]
</think>

<response>-98, -94, -90, -88, -42, -31, 8, 21, 32, 63</response>


input: Use the bubble sort technique to reorder 87, 5, -94, -65, -35, 94, -10, -89, 93 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [87, 5, -94, -65, -35, 94, -10, -89, 93]

Pass 1:
  Compare 87 and 5
  Swap 87 and 5
  List after swap: [5, 87, -94, -65, -35, 94, -10, -89, 93]
  Compare 87 and -94
  Swap 87 and -94
  List after swap: [5, -94, 87, -65, -35, 94, -10, -89, 93]
  Compare 87 and -65
  Swap 87 and -65
  List after swap: [5, -94, -65, 87, -35, 94, -10, -89, 93]
  Compare 87 and -35
  Swap 87 and -35
  List after swap: [5, -94, -65, -35, 87, 94, -10, -89, 93]
  Compare 87 and 94
  No swap needed
  Compare 94 and -10
  Swap 94 and -10
  List after swap: [5, -94, -65, -35, 87, -10, 94, -89, 93]
  Compare 94 and -89
  Swap 94 and -89
  List after swap: [5, -94, -65, -35, 87, -10, -89, 94, 93]
  Compare 94 and 93
  Swap 94 and 93
  List after swap: [5, -94, -65, -35, 87, -10, -89, 93, 94]

Pass 2:
  Compare 5 and -94
  Swap 5 and -94
  List after swap: [-94, 5, -65, -35, 87, -10, -89, 93, 94]
  Compare 5 and -65
  Swap 5 and -65
  List after swap: [-94, -65, 5, -35, 87, -10, -89, 93, 94]
  Compare 5 and -35
  Swap 5 and -35
  List after swap: [-94, -65, -35, 5, 87, -10, -89, 93, 94]
  Compare 5 and 87
  No swap needed
  Compare 87 and -10
  Swap 87 and -10
  List after swap: [-94, -65, -35, 5, -10, 87, -89, 93, 94]
  Compare 87 and -89
  Swap 87 and -89
  List after swap: [-94, -65, -35, 5, -10, -89, 87, 93, 94]
  Compare 87 and 93
  No swap needed

Pass 3:
  Compare -94 and -65
  No swap needed
  Compare -65 and -35
  No swap needed
  Compare -35 and 5
  No swap needed
  Compare 5 and -10
  Swap 5 and -10
  List after swap: [-94, -65, -35, -10, 5, -89, 87, 93, 94]
  Compare 5 and -89
  Swap 5 and -89
  List after swap: [-94, -65, -35, -10, -89, 5, 87, 93, 94]
  Compare 5 and 87
  No swap needed

Pass 4:
  Compare -94 and -65
  No swap needed
  Compare -65 and -35
  No swap needed
  Compare -35 and -10
  No swap needed
  Compare -10 and -89
  Swap -10 and -89
  List after swap: [-94, -65, -35, -89, -10, 5, 87, 93, 94]
  Compare -10 and 5
  No swap needed

Pass 5:
  Compare -94 and -65
  No swap needed
  Compare -65 and -35
  No swap needed
  Compare -35 and -89
  Swap -35 and -89
  List after swap: [-94, -65, -89, -35, -10, 5, 87, 93, 94]
  Compare -35 and -10
  No swap needed

Pass 6:
  Compare -94 and -65
  No swap needed
  Compare -65 and -89
  Swap -65 and -89
  List after swap: [-94, -89, -65, -35, -10, 5, 87, 93, 94]
  Compare -65 and -35
  No swap needed

Pass 7:
  Compare -94 and -89
  No swap needed
  Compare -89 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -89, -65, -35, -10, 5, 87, 93, 94]
</think>

<response>-94, -89, -65, -35, -10, 5, 87, 93, 94</response>


input: Sort the list -12, 25, -9, 53, -73, -54, -67, 16, 22, -49 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-12, 25, -9, 53, -73, -54, -67, 16, 22, -49]

Pass 1:
  Compare -12 and 25
  No swap needed
  Compare 25 and -9
  Swap 25 and -9
  List after swap: [-12, -9, 25, 53, -73, -54, -67, 16, 22, -49]
  Compare 25 and 53
  No swap needed
  Compare 53 and -73
  Swap 53 and -73
  List after swap: [-12, -9, 25, -73, 53, -54, -67, 16, 22, -49]
  Compare 53 and -54
  Swap 53 and -54
  List after swap: [-12, -9, 25, -73, -54, 53, -67, 16, 22, -49]
  Compare 53 and -67
  Swap 53 and -67
  List after swap: [-12, -9, 25, -73, -54, -67, 53, 16, 22, -49]
  Compare 53 and 16
  Swap 53 and 16
  List after swap: [-12, -9, 25, -73, -54, -67, 16, 53, 22, -49]
  Compare 53 and 22
  Swap 53 and 22
  List after swap: [-12, -9, 25, -73, -54, -67, 16, 22, 53, -49]
  Compare 53 and -49
  Swap 53 and -49
  List after swap: [-12, -9, 25, -73, -54, -67, 16, 22, -49, 53]

Pass 2:
  Compare -12 and -9
  No swap needed
  Compare -9 and 25
  No swap needed
  Compare 25 and -73
  Swap 25 and -73
  List after swap: [-12, -9, -73, 25, -54, -67, 16, 22, -49, 53]
  Compare 25 and -54
  Swap 25 and -54
  List after swap: [-12, -9, -73, -54, 25, -67, 16, 22, -49, 53]
  Compare 25 and -67
  Swap 25 and -67
  List after swap: [-12, -9, -73, -54, -67, 25, 16, 22, -49, 53]
  Compare 25 and 16
  Swap 25 and 16
  List after swap: [-12, -9, -73, -54, -67, 16, 25, 22, -49, 53]
  Compare 25 and 22
  Swap 25 and 22
  List after swap: [-12, -9, -73, -54, -67, 16, 22, 25, -49, 53]
  Compare 25 and -49
  Swap 25 and -49
  List after swap: [-12, -9, -73, -54, -67, 16, 22, -49, 25, 53]

Pass 3:
  Compare -12 and -9
  No swap needed
  Compare -9 and -73
  Swap -9 and -73
  List after swap: [-12, -73, -9, -54, -67, 16, 22, -49, 25, 53]
  Compare -9 and -54
  Swap -9 and -54
  List after swap: [-12, -73, -54, -9, -67, 16, 22, -49, 25, 53]
  Compare -9 and -67
  Swap -9 and -67
  List after swap: [-12, -73, -54, -67, -9, 16, 22, -49, 25, 53]
  Compare -9 and 16
  No swap needed
  Compare 16 and 22
  No swap needed
  Compare 22 and -49
  Swap 22 and -49
  List after swap: [-12, -73, -54, -67, -9, 16, -49, 22, 25, 53]

Pass 4:
  Compare -12 and -73
  Swap -12 and -73
  List after swap: [-73, -12, -54, -67, -9, 16, -49, 22, 25, 53]
  Compare -12 and -54
  Swap -12 and -54
  List after swap: [-73, -54, -12, -67, -9, 16, -49, 22, 25, 53]
  Compare -12 and -67
  Swap -12 and -67
  List after swap: [-73, -54, -67, -12, -9, 16, -49, 22, 25, 53]
  Compare -12 and -9
  No swap needed
  Compare -9 and 16
  No swap needed
  Compare 16 and -49
  Swap 16 and -49
  List after swap: [-73, -54, -67, -12, -9, -49, 16, 22, 25, 53]

Pass 5:
  Compare -73 and -54
  No swap needed
  Compare -54 and -67
  Swap -54 and -67
  List after swap: [-73, -67, -54, -12, -9, -49, 16, 22, 25, 53]
  Compare -54 and -12
  No swap needed
  Compare -12 and -9
  No swap needed
  Compare -9 and -49
  Swap -9 and -49
  List after swap: [-73, -67, -54, -12, -49, -9, 16, 22, 25, 53]

Pass 6:
  Compare -73 and -67
  No swap needed
  Compare -67 and -54
  No swap needed
  Compare -54 and -12
  No swap needed
  Compare -12 and -49
  Swap -12 and -49
  List after swap: [-73, -67, -54, -49, -12, -9, 16, 22, 25, 53]

Pass 7:
  Compare -73 and -67
  No swap needed
  Compare -67 and -54
  No swap needed
  Compare -54 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -67, -54, -49, -12, -9, 16, 22, 25, 53]
</think>

<response>-73, -67, -54, -49, -12, -9, 16, 22, 25, 53</response>


input: Demonstrate how bubble sort orders the integers -38, 1, -72, -67, 83, -49, 79 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-38, 1, -72, -67, 83, -49, 79]

Pass 1:
  Compare -38 and 1
  No swap needed
  Compare 1 and -72
  Swap 1 and -72
  List after swap: [-38, -72, 1, -67, 83, -49, 79]
  Compare 1 and -67
  Swap 1 and -67
  List after swap: [-38, -72, -67, 1, 83, -49, 79]
  Compare 1 and 83
  No swap needed
  Compare 83 and -49
  Swap 83 and -49
  List after swap: [-38, -72, -67, 1, -49, 83, 79]
  Compare 83 and 79
  Swap 83 and 79
  List after swap: [-38, -72, -67, 1, -49, 79, 83]

Pass 2:
  Compare -38 and -72
  Swap -38 and -72
  List after swap: [-72, -38, -67, 1, -49, 79, 83]
  Compare -38 and -67
  Swap -38 and -67
  List after swap: [-72, -67, -38, 1, -49, 79, 83]
  Compare -38 and 1
  No swap needed
  Compare 1 and -49
  Swap 1 and -49
  List after swap: [-72, -67, -38, -49, 1, 79, 83]
  Compare 1 and 79
  No swap needed

Pass 3:
  Compare -72 and -67
  No swap needed
  Compare -67 and -38
  No swap needed
  Compare -38 and -49
  Swap -38 and -49
  List after swap: [-72, -67, -49, -38, 1, 79, 83]
  Compare -38 and 1
  No swap needed

Pass 4:
  Compare -72 and -67
  No swap needed
  Compare -67 and -49
  No swap needed
  Compare -49 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -67, -49, -38, 1, 79, 83]
</think>

<response>-72, -67, -49, -38, 1, 79, 83</response>


input: Use the bubble sort technique to reorder -85, 52 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-85, 52]

Pass 1:
  Compare -85 and 52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, 52]
</think>

<response>-85, 52</response>


input: Sort the list -69, -49, 40, 98, 52, -5, 0, -31, 95 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-69, -49, 40, 98, 52, -5, 0, -31, 95]

Pass 1:
  Compare -69 and -49
  No swap needed
  Compare -49 and 40
  No swap needed
  Compare 40 and 98
  No swap needed
  Compare 98 and 52
  Swap 98 and 52
  List after swap: [-69, -49, 40, 52, 98, -5, 0, -31, 95]
  Compare 98 and -5
  Swap 98 and -5
  List after swap: [-69, -49, 40, 52, -5, 98, 0, -31, 95]
  Compare 98 and 0
  Swap 98 and 0
  List after swap: [-69, -49, 40, 52, -5, 0, 98, -31, 95]
  Compare 98 and -31
  Swap 98 and -31
  List after swap: [-69, -49, 40, 52, -5, 0, -31, 98, 95]
  Compare 98 and 95
  Swap 98 and 95
  List after swap: [-69, -49, 40, 52, -5, 0, -31, 95, 98]

Pass 2:
  Compare -69 and -49
  No swap needed
  Compare -49 and 40
  No swap needed
  Compare 40 and 52
  No swap needed
  Compare 52 and -5
  Swap 52 and -5
  List after swap: [-69, -49, 40, -5, 52, 0, -31, 95, 98]
  Compare 52 and 0
  Swap 52 and 0
  List after swap: [-69, -49, 40, -5, 0, 52, -31, 95, 98]
  Compare 52 and -31
  Swap 52 and -31
  List after swap: [-69, -49, 40, -5, 0, -31, 52, 95, 98]
  Compare 52 and 95
  No swap needed

Pass 3:
  Compare -69 and -49
  No swap needed
  Compare -49 and 40
  No swap needed
  Compare 40 and -5
  Swap 40 and -5
  List after swap: [-69, -49, -5, 40, 0, -31, 52, 95, 98]
  Compare 40 and 0
  Swap 40 and 0
  List after swap: [-69, -49, -5, 0, 40, -31, 52, 95, 98]
  Compare 40 and -31
  Swap 40 and -31
  List after swap: [-69, -49, -5, 0, -31, 40, 52, 95, 98]
  Compare 40 and 52
  No swap needed

Pass 4:
  Compare -69 and -49
  No swap needed
  Compare -49 and -5
  No swap needed
  Compare -5 and 0
  No swap needed
  Compare 0 and -31
  Swap 0 and -31
  List after swap: [-69, -49, -5, -31, 0, 40, 52, 95, 98]
  Compare 0 and 40
  No swap needed

Pass 5:
  Compare -69 and -49
  No swap needed
  Compare -49 and -5
  No swap needed
  Compare -5 and -31
  Swap -5 and -31
  List after swap: [-69, -49, -31, -5, 0, 40, 52, 95, 98]
  Compare -5 and 0
  No swap needed

Pass 6:
  Compare -69 and -49
  No swap needed
  Compare -49 and -31
  No swap needed
  Compare -31 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -49, -31, -5, 0, 40, 52, 95, 98]
</think>

<response>-69, -49, -31, -5, 0, 40, 52, 95, 98</response>


input: Use the bubble sort technique to reorder -55, 89, 25, -47, -5, 40, -21, 34 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-55, 89, 25, -47, -5, 40, -21, 34]

Pass 1:
  Compare -55 and 89
  No swap needed
  Compare 89 and 25
  Swap 89 and 25
  List after swap: [-55, 25, 89, -47, -5, 40, -21, 34]
  Compare 89 and -47
  Swap 89 and -47
  List after swap: [-55, 25, -47, 89, -5, 40, -21, 34]
  Compare 89 and -5
  Swap 89 and -5
  List after swap: [-55, 25, -47, -5, 89, 40, -21, 34]
  Compare 89 and 40
  Swap 89 and 40
  List after swap: [-55, 25, -47, -5, 40, 89, -21, 34]
  Compare 89 and -21
  Swap 89 and -21
  List after swap: [-55, 25, -47, -5, 40, -21, 89, 34]
  Compare 89 and 34
  Swap 89 and 34
  List after swap: [-55, 25, -47, -5, 40, -21, 34, 89]

Pass 2:
  Compare -55 and 25
  No swap needed
  Compare 25 and -47
  Swap 25 and -47
  List after swap: [-55, -47, 25, -5, 40, -21, 34, 89]
  Compare 25 and -5
  Swap 25 and -5
  List after swap: [-55, -47, -5, 25, 40, -21, 34, 89]
  Compare 25 and 40
  No swap needed
  Compare 40 and -21
  Swap 40 and -21
  List after swap: [-55, -47, -5, 25, -21, 40, 34, 89]
  Compare 40 and 34
  Swap 40 and 34
  List after swap: [-55, -47, -5, 25, -21, 34, 40, 89]

Pass 3:
  Compare -55 and -47
  No swap needed
  Compare -47 and -5
  No swap needed
  Compare -5 and 25
  No swap needed
  Compare 25 and -21
  Swap 25 and -21
  List after swap: [-55, -47, -5, -21, 25, 34, 40, 89]
  Compare 25 and 34
  No swap needed

Pass 4:
  Compare -55 and -47
  No swap needed
  Compare -47 and -5
  No swap needed
  Compare -5 and -21
  Swap -5 and -21
  List after swap: [-55, -47, -21, -5, 25, 34, 40, 89]
  Compare -5 and 25
  No swap needed

Pass 5:
  Compare -55 and -47
  No swap needed
  Compare -47 and -21
  No swap needed
  Compare -21 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, -47, -21, -5, 25, 34, 40, 89]
</think>

<response>-55, -47, -21, -5, 25, 34, 40, 89</response>


input: Execute bubble sort to sort -91, 29, 46, -41, -65, -17, -29, 16 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-91, 29, 46, -41, -65, -17, -29, 16]

Pass 1:
  Compare -91 and 29
  No swap needed
  Compare 29 and 46
  No swap needed
  Compare 46 and -41
  Swap 46 and -41
  List after swap: [-91, 29, -41, 46, -65, -17, -29, 16]
  Compare 46 and -65
  Swap 46 and -65
  List after swap: [-91, 29, -41, -65, 46, -17, -29, 16]
  Compare 46 and -17
  Swap 46 and -17
  List after swap: [-91, 29, -41, -65, -17, 46, -29, 16]
  Compare 46 and -29
  Swap 46 and -29
  List after swap: [-91, 29, -41, -65, -17, -29, 46, 16]
  Compare 46 and 16
  Swap 46 and 16
  List after swap: [-91, 29, -41, -65, -17, -29, 16, 46]

Pass 2:
  Compare -91 and 29
  No swap needed
  Compare 29 and -41
  Swap 29 and -41
  List after swap: [-91, -41, 29, -65, -17, -29, 16, 46]
  Compare 29 and -65
  Swap 29 and -65
  List after swap: [-91, -41, -65, 29, -17, -29, 16, 46]
  Compare 29 and -17
  Swap 29 and -17
  List after swap: [-91, -41, -65, -17, 29, -29, 16, 46]
  Compare 29 and -29
  Swap 29 and -29
  List after swap: [-91, -41, -65, -17, -29, 29, 16, 46]
  Compare 29 and 16
  Swap 29 and 16
  List after swap: [-91, -41, -65, -17, -29, 16, 29, 46]

Pass 3:
  Compare -91 and -41
  No swap needed
  Compare -41 and -65
  Swap -41 and -65
  List after swap: [-91, -65, -41, -17, -29, 16, 29, 46]
  Compare -41 and -17
  No swap needed
  Compare -17 and -29
  Swap -17 and -29
  List after swap: [-91, -65, -41, -29, -17, 16, 29, 46]
  Compare -17 and 16
  No swap needed

Pass 4:
  Compare -91 and -65
  No swap needed
  Compare -65 and -41
  No swap needed
  Compare -41 and -29
  No swap needed
  Compare -29 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -65, -41, -29, -17, 16, 29, 46]
</think>

<response>-91, -65, -41, -29, -17, 16, 29, 46</response>


input: Sort these integers -41, 46, -4 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-41, 46, -4]

Pass 1:
  Compare -41 and 46
  No swap needed
  Compare 46 and -4
  Swap 46 and -4
  List after swap: [-41, -4, 46]

Pass 2:
  Compare -41 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-41, -4, 46]
</think>

<response>-41, -4, 46</response>


input: Using the bubble sort method, sort -30, 62, -81, -82, 64, 68, -4, -80, -35 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-30, 62, -81, -82, 64, 68, -4, -80, -35]

Pass 1:
  Compare -30 and 62
  No swap needed
  Compare 62 and -81
  Swap 62 and -81
  List after swap: [-30, -81, 62, -82, 64, 68, -4, -80, -35]
  Compare 62 and -82
  Swap 62 and -82
  List after swap: [-30, -81, -82, 62, 64, 68, -4, -80, -35]
  Compare 62 and 64
  No swap needed
  Compare 64 and 68
  No swap needed
  Compare 68 and -4
  Swap 68 and -4
  List after swap: [-30, -81, -82, 62, 64, -4, 68, -80, -35]
  Compare 68 and -80
  Swap 68 and -80
  List after swap: [-30, -81, -82, 62, 64, -4, -80, 68, -35]
  Compare 68 and -35
  Swap 68 and -35
  List after swap: [-30, -81, -82, 62, 64, -4, -80, -35, 68]

Pass 2:
  Compare -30 and -81
  Swap -30 and -81
  List after swap: [-81, -30, -82, 62, 64, -4, -80, -35, 68]
  Compare -30 and -82
  Swap -30 and -82
  List after swap: [-81, -82, -30, 62, 64, -4, -80, -35, 68]
  Compare -30 and 62
  No swap needed
  Compare 62 and 64
  No swap needed
  Compare 64 and -4
  Swap 64 and -4
  List after swap: [-81, -82, -30, 62, -4, 64, -80, -35, 68]
  Compare 64 and -80
  Swap 64 and -80
  List after swap: [-81, -82, -30, 62, -4, -80, 64, -35, 68]
  Compare 64 and -35
  Swap 64 and -35
  List after swap: [-81, -82, -30, 62, -4, -80, -35, 64, 68]

Pass 3:
  Compare -81 and -82
  Swap -81 and -82
  List after swap: [-82, -81, -30, 62, -4, -80, -35, 64, 68]
  Compare -81 and -30
  No swap needed
  Compare -30 and 62
  No swap needed
  Compare 62 and -4
  Swap 62 and -4
  List after swap: [-82, -81, -30, -4, 62, -80, -35, 64, 68]
  Compare 62 and -80
  Swap 62 and -80
  List after swap: [-82, -81, -30, -4, -80, 62, -35, 64, 68]
  Compare 62 and -35
  Swap 62 and -35
  List after swap: [-82, -81, -30, -4, -80, -35, 62, 64, 68]

Pass 4:
  Compare -82 and -81
  No swap needed
  Compare -81 and -30
  No swap needed
  Compare -30 and -4
  No swap needed
  Compare -4 and -80
  Swap -4 and -80
  List after swap: [-82, -81, -30, -80, -4, -35, 62, 64, 68]
  Compare -4 and -35
  Swap -4 and -35
  List after swap: [-82, -81, -30, -80, -35, -4, 62, 64, 68]

Pass 5:
  Compare -82 and -81
  No swap needed
  Compare -81 and -30
  No swap needed
  Compare -30 and -80
  Swap -30 and -80
  List after swap: [-82, -81, -80, -30, -35, -4, 62, 64, 68]
  Compare -30 and -35
  Swap -30 and -35
  List after swap: [-82, -81, -80, -35, -30, -4, 62, 64, 68]

Pass 6:
  Compare -82 and -81
  No swap needed
  Compare -81 and -80
  No swap needed
  Compare -80 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -81, -80, -35, -30, -4, 62, 64, 68]
</think>

<response>-82, -81, -80, -35, -30, -4, 62, 64, 68</response>


input: Arrange the numbers 87, -1, 29, -18, -33 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [87, -1, 29, -18, -33]

Pass 1:
  Compare 87 and -1
  Swap 87 and -1
  List after swap: [-1, 87, 29, -18, -33]
  Compare 87 and 29
  Swap 87 and 29
  List after swap: [-1, 29, 87, -18, -33]
  Compare 87 and -18
  Swap 87 and -18
  List after swap: [-1, 29, -18, 87, -33]
  Compare 87 and -33
  Swap 87 and -33
  List after swap: [-1, 29, -18, -33, 87]

Pass 2:
  Compare -1 and 29
  No swap needed
  Compare 29 and -18
  Swap 29 and -18
  List after swap: [-1, -18, 29, -33, 87]
  Compare 29 and -33
  Swap 29 and -33
  List after swap: [-1, -18, -33, 29, 87]

Pass 3:
  Compare -1 and -18
  Swap -1 and -18
  List after swap: [-18, -1, -33, 29, 87]
  Compare -1 and -33
  Swap -1 and -33
  List after swap: [-18, -33, -1, 29, 87]

Pass 4:
  Compare -18 and -33
  Swap -18 and -33
  List after swap: [-33, -18, -1, 29, 87]

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

Final sorted list: [-33, -18, -1, 29, 87]
</think>

<response>-33, -18, -1, 29, 87</response>


input: Execute bubble sort to sort -93, -32, -27 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-93, -32, -27]

Pass 1:
  Compare -93 and -32
  No swap needed
  Compare -32 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -32, -27]
</think>

<response>-93, -32, -27</response>


input: Sort the list 8, 17, -87, -91 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [8, 17, -87, -91]

Pass 1:
  Compare 8 and 17
  No swap needed
  Compare 17 and -87
  Swap 17 and -87
  List after swap: [8, -87, 17, -91]
  Compare 17 and -91
  Swap 17 and -91
  List after swap: [8, -87, -91, 17]

Pass 2:
  Compare 8 and -87
  Swap 8 and -87
  List after swap: [-87, 8, -91, 17]
  Compare 8 and -91
  Swap 8 and -91
  List after swap: [-87, -91, 8, 17]

Pass 3:
  Compare -87 and -91
  Swap -87 and -91
  List after swap: [-91, -87, 8, 17]

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

Final sorted list: [-91, -87, 8, 17]
</think>

<response>-91, -87, 8, 17</response>


input: Sort the list -9, -82, -67, -28, -94, 56, 45, 86, 0 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-9, -82, -67, -28, -94, 56, 45, 86, 0]

Pass 1:
  Compare -9 and -82
  Swap -9 and -82
  List after swap: [-82, -9, -67, -28, -94, 56, 45, 86, 0]
  Compare -9 and -67
  Swap -9 and -67
  List after swap: [-82, -67, -9, -28, -94, 56, 45, 86, 0]
  Compare -9 and -28
  Swap -9 and -28
  List after swap: [-82, -67, -28, -9, -94, 56, 45, 86, 0]
  Compare -9 and -94
  Swap -9 and -94
  List after swap: [-82, -67, -28, -94, -9, 56, 45, 86, 0]
  Compare -9 and 56
  No swap needed
  Compare 56 and 45
  Swap 56 and 45
  List after swap: [-82, -67, -28, -94, -9, 45, 56, 86, 0]
  Compare 56 and 86
  No swap needed
  Compare 86 and 0
  Swap 86 and 0
  List after swap: [-82, -67, -28, -94, -9, 45, 56, 0, 86]

Pass 2:
  Compare -82 and -67
  No swap needed
  Compare -67 and -28
  No swap needed
  Compare -28 and -94
  Swap -28 and -94
  List after swap: [-82, -67, -94, -28, -9, 45, 56, 0, 86]
  Compare -28 and -9
  No swap needed
  Compare -9 and 45
  No swap needed
  Compare 45 and 56
  No swap needed
  Compare 56 and 0
  Swap 56 and 0
  List after swap: [-82, -67, -94, -28, -9, 45, 0, 56, 86]

Pass 3:
  Compare -82 and -67
  No swap needed
  Compare -67 and -94
  Swap -67 and -94
  List after swap: [-82, -94, -67, -28, -9, 45, 0, 56, 86]
  Compare -67 and -28
  No swap needed
  Compare -28 and -9
  No swap needed
  Compare -9 and 45
  No swap needed
  Compare 45 and 0
  Swap 45 and 0
  List after swap: [-82, -94, -67, -28, -9, 0, 45, 56, 86]

Pass 4:
  Compare -82 and -94
  Swap -82 and -94
  List after swap: [-94, -82, -67, -28, -9, 0, 45, 56, 86]
  Compare -82 and -67
  No swap needed
  Compare -67 and -28
  No swap needed
  Compare -28 and -9
  No swap needed
  Compare -9 and 0
  No swap needed

Pass 5:
  Compare -94 and -82
  No swap needed
  Compare -82 and -67
  No swap needed
  Compare -67 and -28
  No swap needed
  Compare -28 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -82, -67, -28, -9, 0, 45, 56, 86]
</think>

<response>-94, -82, -67, -28, -9, 0, 45, 56, 86</response>


input: Demonstrate how bubble sort orders the integers 78, -64, -42, 91, 67 in ascending sequence, showing all steps.

output:
<think>
Initial list: [78, -64, -42, 91, 67]

Pass 1:
  Compare 78 and -64
  Swap 78 and -64
  List after swap: [-64, 78, -42, 91, 67]
  Compare 78 and -42
  Swap 78 and -42
  List after swap: [-64, -42, 78, 91, 67]
  Compare 78 and 91
  No swap needed
  Compare 91 and 67
  Swap 91 and 67
  List after swap: [-64, -42, 78, 67, 91]

Pass 2:
  Compare -64 and -42
  No swap needed
  Compare -42 and 78
  No swap needed
  Compare 78 and 67
  Swap 78 and 67
  List after swap: [-64, -42, 67, 78, 91]

Pass 3:
  Compare -64 and -42
  No swap needed
  Compare -42 and 67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -42, 67, 78, 91]
</think>

<response>-64, -42, 67, 78, 91</response>


input: Perform a bubble sort on the integers 78, 38, -47, 10, -88, 37, 39, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [78, 38, -47, 10, -88, 37, 39]

Pass 1:
  Compare 78 and 38
  Swap 78 and 38
  List after swap: [38, 78, -47, 10, -88, 37, 39]
  Compare 78 and -47
  Swap 78 and -47
  List after swap: [38, -47, 78, 10, -88, 37, 39]
  Compare 78 and 10
  Swap 78 and 10
  List after swap: [38, -47, 10, 78, -88, 37, 39]
  Compare 78 and -88
  Swap 78 and -88
  List after swap: [38, -47, 10, -88, 78, 37, 39]
  Compare 78 and 37
  Swap 78 and 37
  List after swap: [38, -47, 10, -88, 37, 78, 39]
  Compare 78 and 39
  Swap 78 and 39
  List after swap: [38, -47, 10, -88, 37, 39, 78]

Pass 2:
  Compare 38 and -47
  Swap 38 and -47
  List after swap: [-47, 38, 10, -88, 37, 39, 78]
  Compare 38 and 10
  Swap 38 and 10
  List after swap: [-47, 10, 38, -88, 37, 39, 78]
  Compare 38 and -88
  Swap 38 and -88
  List after swap: [-47, 10, -88, 38, 37, 39, 78]
  Compare 38 and 37
  Swap 38 and 37
  List after swap: [-47, 10, -88, 37, 38, 39, 78]
  Compare 38 and 39
  No swap needed

Pass 3:
  Compare -47 and 10
  No swap needed
  Compare 10 and -88
  Swap 10 and -88
  List after swap: [-47, -88, 10, 37, 38, 39, 78]
  Compare 10 and 37
  No swap needed
  Compare 37 and 38
  No swap needed

Pass 4:
  Compare -47 and -88
  Swap -47 and -88
  List after swap: [-88, -47, 10, 37, 38, 39, 78]
  Compare -47 and 10
  No swap needed
  Compare 10 and 37
  No swap needed

Pass 5:
  Compare -88 and -47
  No swap needed
  Compare -47 and 10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -47, 10, 37, 38, 39, 78]
</think>

<response>-88, -47, 10, 37, 38, 39, 78</response>


input: Use the bubble sort technique to reorder 0, -24, 93, -67, 19, 32 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [0, -24, 93, -67, 19, 32]

Pass 1:
  Compare 0 and -24
  Swap 0 and -24
  List after swap: [-24, 0, 93, -67, 19, 32]
  Compare 0 and 93
  No swap needed
  Compare 93 and -67
  Swap 93 and -67
  List after swap: [-24, 0, -67, 93, 19, 32]
  Compare 93 and 19
  Swap 93 and 19
  List after swap: [-24, 0, -67, 19, 93, 32]
  Compare 93 and 32
  Swap 93 and 32
  List after swap: [-24, 0, -67, 19, 32, 93]

Pass 2:
  Compare -24 and 0
  No swap needed
  Compare 0 and -67
  Swap 0 and -67
  List after swap: [-24, -67, 0, 19, 32, 93]
  Compare 0 and 19
  No swap needed
  Compare 19 and 32
  No swap needed

Pass 3:
  Compare -24 and -67
  Swap -24 and -67
  List after swap: [-67, -24, 0, 19, 32, 93]
  Compare -24 and 0
  No swap needed
  Compare 0 and 19
  No swap needed

Pass 4:
  Compare -67 and -24
  No swap needed
  Compare -24 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -24, 0, 19, 32, 93]
</think>

<response>-67, -24, 0, 19, 32, 93</response>


input: Perform a bubble sort on the integers 84, -78, 35, 38, 17, 99, 92, 53, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [84, -78, 35, 38, 17, 99, 92, 53]

Pass 1:
  Compare 84 and -78
  Swap 84 and -78
  List after swap: [-78, 84, 35, 38, 17, 99, 92, 53]
  Compare 84 and 35
  Swap 84 and 35
  List after swap: [-78, 35, 84, 38, 17, 99, 92, 53]
  Compare 84 and 38
  Swap 84 and 38
  List after swap: [-78, 35, 38, 84, 17, 99, 92, 53]
  Compare 84 and 17
  Swap 84 and 17
  List after swap: [-78, 35, 38, 17, 84, 99, 92, 53]
  Compare 84 and 99
  No swap needed
  Compare 99 and 92
  Swap 99 and 92
  List after swap: [-78, 35, 38, 17, 84, 92, 99, 53]
  Compare 99 and 53
  Swap 99 and 53
  List after swap: [-78, 35, 38, 17, 84, 92, 53, 99]

Pass 2:
  Compare -78 and 35
  No swap needed
  Compare 35 and 38
  No swap needed
  Compare 38 and 17
  Swap 38 and 17
  List after swap: [-78, 35, 17, 38, 84, 92, 53, 99]
  Compare 38 and 84
  No swap needed
  Compare 84 and 92
  No swap needed
  Compare 92 and 53
  Swap 92 and 53
  List after swap: [-78, 35, 17, 38, 84, 53, 92, 99]

Pass 3:
  Compare -78 and 35
  No swap needed
  Compare 35 and 17
  Swap 35 and 17
  List after swap: [-78, 17, 35, 38, 84, 53, 92, 99]
  Compare 35 and 38
  No swap needed
  Compare 38 and 84
  No swap needed
  Compare 84 and 53
  Swap 84 and 53
  List after swap: [-78, 17, 35, 38, 53, 84, 92, 99]

Pass 4:
  Compare -78 and 17
  No swap needed
  Compare 17 and 35
  No swap needed
  Compare 35 and 38
  No swap needed
  Compare 38 and 53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, 17, 35, 38, 53, 84, 92, 99]
</think>

<response>-78, 17, 35, 38, 53, 84, 92, 99</response>


input: Sort the list 62, 88, 20, -41, -6 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [62, 88, 20, -41, -6]

Pass 1:
  Compare 62 and 88
  No swap needed
  Compare 88 and 20
  Swap 88 and 20
  List after swap: [62, 20, 88, -41, -6]
  Compare 88 and -41
  Swap 88 and -41
  List after swap: [62, 20, -41, 88, -6]
  Compare 88 and -6
  Swap 88 and -6
  List after swap: [62, 20, -41, -6, 88]

Pass 2:
  Compare 62 and 20
  Swap 62 and 20
  List after swap: [20, 62, -41, -6, 88]
  Compare 62 and -41
  Swap 62 and -41
  List after swap: [20, -41, 62, -6, 88]
  Compare 62 and -6
  Swap 62 and -6
  List after swap: [20, -41, -6, 62, 88]

Pass 3:
  Compare 20 and -41
  Swap 20 and -41
  List after swap: [-41, 20, -6, 62, 88]
  Compare 20 and -6
  Swap 20 and -6
  List after swap: [-41, -6, 20, 62, 88]

Pass 4:
  Compare -41 and -6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-41, -6, 20, 62, 88]
</think>

<response>-41, -6, 20, 62, 88</response>


input: Arrange the numbers 5, 59, -40, 23, -80, -11, -98, 74, -36, -37 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [5, 59, -40, 23, -80, -11, -98, 74, -36, -37]

Pass 1:
  Compare 5 and 59
  No swap needed
  Compare 59 and -40
  Swap 59 and -40
  List after swap: [5, -40, 59, 23, -80, -11, -98, 74, -36, -37]
  Compare 59 and 23
  Swap 59 and 23
  List after swap: [5, -40, 23, 59, -80, -11, -98, 74, -36, -37]
  Compare 59 and -80
  Swap 59 and -80
  List after swap: [5, -40, 23, -80, 59, -11, -98, 74, -36, -37]
  Compare 59 and -11
  Swap 59 and -11
  List after swap: [5, -40, 23, -80, -11, 59, -98, 74, -36, -37]
  Compare 59 and -98
  Swap 59 and -98
  List after swap: [5, -40, 23, -80, -11, -98, 59, 74, -36, -37]
  Compare 59 and 74
  No swap needed
  Compare 74 and -36
  Swap 74 and -36
  List after swap: [5, -40, 23, -80, -11, -98, 59, -36, 74, -37]
  Compare 74 and -37
  Swap 74 and -37
  List after swap: [5, -40, 23, -80, -11, -98, 59, -36, -37, 74]

Pass 2:
  Compare 5 and -40
  Swap 5 and -40
  List after swap: [-40, 5, 23, -80, -11, -98, 59, -36, -37, 74]
  Compare 5 and 23
  No swap needed
  Compare 23 and -80
  Swap 23 and -80
  List after swap: [-40, 5, -80, 23, -11, -98, 59, -36, -37, 74]
  Compare 23 and -11
  Swap 23 and -11
  List after swap: [-40, 5, -80, -11, 23, -98, 59, -36, -37, 74]
  Compare 23 and -98
  Swap 23 and -98
  List after swap: [-40, 5, -80, -11, -98, 23, 59, -36, -37, 74]
  Compare 23 and 59
  No swap needed
  Compare 59 and -36
  Swap 59 and -36
  List after swap: [-40, 5, -80, -11, -98, 23, -36, 59, -37, 74]
  Compare 59 and -37
  Swap 59 and -37
  List after swap: [-40, 5, -80, -11, -98, 23, -36, -37, 59, 74]

Pass 3:
  Compare -40 and 5
  No swap needed
  Compare 5 and -80
  Swap 5 and -80
  List after swap: [-40, -80, 5, -11, -98, 23, -36, -37, 59, 74]
  Compare 5 and -11
  Swap 5 and -11
  List after swap: [-40, -80, -11, 5, -98, 23, -36, -37, 59, 74]
  Compare 5 and -98
  Swap 5 and -98
  List after swap: [-40, -80, -11, -98, 5, 23, -36, -37, 59, 74]
  Compare 5 and 23
  No swap needed
  Compare 23 and -36
  Swap 23 and -36
  List after swap: [-40, -80, -11, -98, 5, -36, 23, -37, 59, 74]
  Compare 23 and -37
  Swap 23 and -37
  List after swap: [-40, -80, -11, -98, 5, -36, -37, 23, 59, 74]

Pass 4:
  Compare -40 and -80
  Swap -40 and -80
  List after swap: [-80, -40, -11, -98, 5, -36, -37, 23, 59, 74]
  Compare -40 and -11
  No swap needed
  Compare -11 and -98
  Swap -11 and -98
  List after swap: [-80, -40, -98, -11, 5, -36, -37, 23, 59, 74]
  Compare -11 and 5
  No swap needed
  Compare 5 and -36
  Swap 5 and -36
  List after swap: [-80, -40, -98, -11, -36, 5, -37, 23, 59, 74]
  Compare 5 and -37
  Swap 5 and -37
  List after swap: [-80, -40, -98, -11, -36, -37, 5, 23, 59, 74]

Pass 5:
  Compare -80 and -40
  No swap needed
  Compare -40 and -98
  Swap -40 and -98
  List after swap: [-80, -98, -40, -11, -36, -37, 5, 23, 59, 74]
  Compare -40 and -11
  No swap needed
  Compare -11 and -36
  Swap -11 and -36
  List after swap: [-80, -98, -40, -36, -11, -37, 5, 23, 59, 74]
  Compare -11 and -37
  Swap -11 and -37
  List after swap: [-80, -98, -40, -36, -37, -11, 5, 23, 59, 74]

Pass 6:
  Compare -80 and -98
  Swap -80 and -98
  List after swap: [-98, -80, -40, -36, -37, -11, 5, 23, 59, 74]
  Compare -80 and -40
  No swap needed
  Compare -40 and -36
  No swap needed
  Compare -36 and -37
  Swap -36 and -37
  List after swap: [-98, -80, -40, -37, -36, -11, 5, 23, 59, 74]

Pass 7:
  Compare -98 and -80
  No swap needed
  Compare -80 and -40
  No swap needed
  Compare -40 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -80, -40, -37, -36, -11, 5, 23, 59, 74]
</think>

<response>-98, -80, -40, -37, -36, -11, 5, 23, 59, 74</response>


input: Execute bubble sort to sort 50, -5 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [50, -5]

Pass 1:
  Compare 50 and -5
  Swap 50 and -5
  List after swap: [-5, 50]

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

Final sorted list: [-5, 50]
</think>

<response>-5, 50</response>


input: Sort these integers 80, -50, 51, 90, 2, 75, 8, -17 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [80, -50, 51, 90, 2, 75, 8, -17]

Pass 1:
  Compare 80 and -50
  Swap 80 and -50
  List after swap: [-50, 80, 51, 90, 2, 75, 8, -17]
  Compare 80 and 51
  Swap 80 and 51
  List after swap: [-50, 51, 80, 90, 2, 75, 8, -17]
  Compare 80 and 90
  No swap needed
  Compare 90 and 2
  Swap 90 and 2
  List after swap: [-50, 51, 80, 2, 90, 75, 8, -17]
  Compare 90 and 75
  Swap 90 and 75
  List after swap: [-50, 51, 80, 2, 75, 90, 8, -17]
  Compare 90 and 8
  Swap 90 and 8
  List after swap: [-50, 51, 80, 2, 75, 8, 90, -17]
  Compare 90 and -17
  Swap 90 and -17
  List after swap: [-50, 51, 80, 2, 75, 8, -17, 90]

Pass 2:
  Compare -50 and 51
  No swap needed
  Compare 51 and 80
  No swap needed
  Compare 80 and 2
  Swap 80 and 2
  List after swap: [-50, 51, 2, 80, 75, 8, -17, 90]
  Compare 80 and 75
  Swap 80 and 75
  List after swap: [-50, 51, 2, 75, 80, 8, -17, 90]
  Compare 80 and 8
  Swap 80 and 8
  List after swap: [-50, 51, 2, 75, 8, 80, -17, 90]
  Compare 80 and -17
  Swap 80 and -17
  List after swap: [-50, 51, 2, 75, 8, -17, 80, 90]

Pass 3:
  Compare -50 and 51
  No swap needed
  Compare 51 and 2
  Swap 51 and 2
  List after swap: [-50, 2, 51, 75, 8, -17, 80, 90]
  Compare 51 and 75
  No swap needed
  Compare 75 and 8
  Swap 75 and 8
  List after swap: [-50, 2, 51, 8, 75, -17, 80, 90]
  Compare 75 and -17
  Swap 75 and -17
  List after swap: [-50, 2, 51, 8, -17, 75, 80, 90]

Pass 4:
  Compare -50 and 2
  No swap needed
  Compare 2 and 51
  No swap needed
  Compare 51 and 8
  Swap 51 and 8
  List after swap: [-50, 2, 8, 51, -17, 75, 80, 90]
  Compare 51 and -17
  Swap 51 and -17
  List after swap: [-50, 2, 8, -17, 51, 75, 80, 90]

Pass 5:
  Compare -50 and 2
  No swap needed
  Compare 2 and 8
  No swap needed
  Compare 8 and -17
  Swap 8 and -17
  List after swap: [-50, 2, -17, 8, 51, 75, 80, 90]

Pass 6:
  Compare -50 and 2
  No swap needed
  Compare 2 and -17
  Swap 2 and -17
  List after swap: [-50, -17, 2, 8, 51, 75, 80, 90]

Pass 7:
  Compare -50 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, -17, 2, 8, 51, 75, 80, 90]
</think>

<response>-50, -17, 2, 8, 51, 75, 80, 90</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -7, -39, -88, -34, 45, -16.

output:
<think>
Initial list: [-7, -39, -88, -34, 45, -16]

Pass 1:
  Compare -7 and -39
  Swap -7 and -39
  List after swap: [-39, -7, -88, -34, 45, -16]
  Compare -7 and -88
  Swap -7 and -88
  List after swap: [-39, -88, -7, -34, 45, -16]
  Compare -7 and -34
  Swap -7 and -34
  List after swap: [-39, -88, -34, -7, 45, -16]
  Compare -7 and 45
  No swap needed
  Compare 45 and -16
  Swap 45 and -16
  List after swap: [-39, -88, -34, -7, -16, 45]

Pass 2:
  Compare -39 and -88
  Swap -39 and -88
  List after swap: [-88, -39, -34, -7, -16, 45]
  Compare -39 and -34
  No swap needed
  Compare -34 and -7
  No swap needed
  Compare -7 and -16
  Swap -7 and -16
  List after swap: [-88, -39, -34, -16, -7, 45]

Pass 3:
  Compare -88 and -39
  No swap needed
  Compare -39 and -34
  No swap needed
  Compare -34 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -39, -34, -16, -7, 45]
</think>

<response>-88, -39, -34, -16, -7, 45</response>


input: Implement bubble sort on -47, -73, -51, 23, 14, 17, 1, 70, -86 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-47, -73, -51, 23, 14, 17, 1, 70, -86]

Pass 1:
  Compare -47 and -73
  Swap -47 and -73
  List after swap: [-73, -47, -51, 23, 14, 17, 1, 70, -86]
  Compare -47 and -51
  Swap -47 and -51
  List after swap: [-73, -51, -47, 23, 14, 17, 1, 70, -86]
  Compare -47 and 23
  No swap needed
  Compare 23 and 14
  Swap 23 and 14
  List after swap: [-73, -51, -47, 14, 23, 17, 1, 70, -86]
  Compare 23 and 17
  Swap 23 and 17
  List after swap: [-73, -51, -47, 14, 17, 23, 1, 70, -86]
  Compare 23 and 1
  Swap 23 and 1
  List after swap: [-73, -51, -47, 14, 17, 1, 23, 70, -86]
  Compare 23 and 70
  No swap needed
  Compare 70 and -86
  Swap 70 and -86
  List after swap: [-73, -51, -47, 14, 17, 1, 23, -86, 70]

Pass 2:
  Compare -73 and -51
  No swap needed
  Compare -51 and -47
  No swap needed
  Compare -47 and 14
  No swap needed
  Compare 14 and 17
  No swap needed
  Compare 17 and 1
  Swap 17 and 1
  List after swap: [-73, -51, -47, 14, 1, 17, 23, -86, 70]
  Compare 17 and 23
  No swap needed
  Compare 23 and -86
  Swap 23 and -86
  List after swap: [-73, -51, -47, 14, 1, 17, -86, 23, 70]

Pass 3:
  Compare -73 and -51
  No swap needed
  Compare -51 and -47
  No swap needed
  Compare -47 and 14
  No swap needed
  Compare 14 and 1
  Swap 14 and 1
  List after swap: [-73, -51, -47, 1, 14, 17, -86, 23, 70]
  Compare 14 and 17
  No swap needed
  Compare 17 and -86
  Swap 17 and -86
  List after swap: [-73, -51, -47, 1, 14, -86, 17, 23, 70]

Pass 4:
  Compare -73 and -51
  No swap needed
  Compare -51 and -47
  No swap needed
  Compare -47 and 1
  No swap needed
  Compare 1 and 14
  No swap needed
  Compare 14 and -86
  Swap 14 and -86
  List after swap: [-73, -51, -47, 1, -86, 14, 17, 23, 70]

Pass 5:
  Compare -73 and -51
  No swap needed
  Compare -51 and -47
  No swap needed
  Compare -47 and 1
  No swap needed
  Compare 1 and -86
  Swap 1 and -86
  List after swap: [-73, -51, -47, -86, 1, 14, 17, 23, 70]

Pass 6:
  Compare -73 and -51
  No swap needed
  Compare -51 and -47
  No swap needed
  Compare -47 and -86
  Swap -47 and -86
  List after swap: [-73, -51, -86, -47, 1, 14, 17, 23, 70]

Pass 7:
  Compare -73 and -51
  No swap needed
  Compare -51 and -86
  Swap -51 and -86
  List after swap: [-73, -86, -51, -47, 1, 14, 17, 23, 70]

Pass 8:
  Compare -73 and -86
  Swap -73 and -86
  List after swap: [-86, -73, -51, -47, 1, 14, 17, 23, 70]

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

Final sorted list: [-86, -73, -51, -47, 1, 14, 17, 23, 70]
</think>

<response>-86, -73, -51, -47, 1, 14, 17, 23, 70</response>


input: Using the bubble sort method, sort 18, 19, -50, -80, 98, -25, 79 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [18, 19, -50, -80, 98, -25, 79]

Pass 1:
  Compare 18 and 19
  No swap needed
  Compare 19 and -50
  Swap 19 and -50
  List after swap: [18, -50, 19, -80, 98, -25, 79]
  Compare 19 and -80
  Swap 19 and -80
  List after swap: [18, -50, -80, 19, 98, -25, 79]
  Compare 19 and 98
  No swap needed
  Compare 98 and -25
  Swap 98 and -25
  List after swap: [18, -50, -80, 19, -25, 98, 79]
  Compare 98 and 79
  Swap 98 and 79
  List after swap: [18, -50, -80, 19, -25, 79, 98]

Pass 2:
  Compare 18 and -50
  Swap 18 and -50
  List after swap: [-50, 18, -80, 19, -25, 79, 98]
  Compare 18 and -80
  Swap 18 and -80
  List after swap: [-50, -80, 18, 19, -25, 79, 98]
  Compare 18 and 19
  No swap needed
  Compare 19 and -25
  Swap 19 and -25
  List after swap: [-50, -80, 18, -25, 19, 79, 98]
  Compare 19 and 79
  No swap needed

Pass 3:
  Compare -50 and -80
  Swap -50 and -80
  List after swap: [-80, -50, 18, -25, 19, 79, 98]
  Compare -50 and 18
  No swap needed
  Compare 18 and -25
  Swap 18 and -25
  List after swap: [-80, -50, -25, 18, 19, 79, 98]
  Compare 18 and 19
  No swap needed

Pass 4:
  Compare -80 and -50
  No swap needed
  Compare -50 and -25
  No swap needed
  Compare -25 and 18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -50, -25, 18, 19, 79, 98]
</think>

<response>-80, -50, -25, 18, 19, 79, 98</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 65, 58, 96, -83, -25, 91, -75.

output:
<think>
Initial list: [65, 58, 96, -83, -25, 91, -75]

Pass 1:
  Compare 65 and 58
  Swap 65 and 58
  List after swap: [58, 65, 96, -83, -25, 91, -75]
  Compare 65 and 96
  No swap needed
  Compare 96 and -83
  Swap 96 and -83
  List after swap: [58, 65, -83, 96, -25, 91, -75]
  Compare 96 and -25
  Swap 96 and -25
  List after swap: [58, 65, -83, -25, 96, 91, -75]
  Compare 96 and 91
  Swap 96 and 91
  List after swap: [58, 65, -83, -25, 91, 96, -75]
  Compare 96 and -75
  Swap 96 and -75
  List after swap: [58, 65, -83, -25, 91, -75, 96]

Pass 2:
  Compare 58 and 65
  No swap needed
  Compare 65 and -83
  Swap 65 and -83
  List after swap: [58, -83, 65, -25, 91, -75, 96]
  Compare 65 and -25
  Swap 65 and -25
  List after swap: [58, -83, -25, 65, 91, -75, 96]
  Compare 65 and 91
  No swap needed
  Compare 91 and -75
  Swap 91 and -75
  List after swap: [58, -83, -25, 65, -75, 91, 96]

Pass 3:
  Compare 58 and -83
  Swap 58 and -83
  List after swap: [-83, 58, -25, 65, -75, 91, 96]
  Compare 58 and -25
  Swap 58 and -25
  List after swap: [-83, -25, 58, 65, -75, 91, 96]
  Compare 58 and 65
  No swap needed
  Compare 65 and -75
  Swap 65 and -75
  List after swap: [-83, -25, 58, -75, 65, 91, 96]

Pass 4:
  Compare -83 and -25
  No swap needed
  Compare -25 and 58
  No swap needed
  Compare 58 and -75
  Swap 58 and -75
  List after swap: [-83, -25, -75, 58, 65, 91, 96]

Pass 5:
  Compare -83 and -25
  No swap needed
  Compare -25 and -75
  Swap -25 and -75
  List after swap: [-83, -75, -25, 58, 65, 91, 96]

Pass 6:
  Compare -83 and -75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -75, -25, 58, 65, 91, 96]
</think>

<response>-83, -75, -25, 58, 65, 91, 96</response>


input: Carry out the bubble sort algorithm on 6, 18, -5, 53, -56, -26, 22, -60 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [6, 18, -5, 53, -56, -26, 22, -60]

Pass 1:
  Compare 6 and 18
  No swap needed
  Compare 18 and -5
  Swap 18 and -5
  List after swap: [6, -5, 18, 53, -56, -26, 22, -60]
  Compare 18 and 53
  No swap needed
  Compare 53 and -56
  Swap 53 and -56
  List after swap: [6, -5, 18, -56, 53, -26, 22, -60]
  Compare 53 and -26
  Swap 53 and -26
  List after swap: [6, -5, 18, -56, -26, 53, 22, -60]
  Compare 53 and 22
  Swap 53 and 22
  List after swap: [6, -5, 18, -56, -26, 22, 53, -60]
  Compare 53 and -60
  Swap 53 and -60
  List after swap: [6, -5, 18, -56, -26, 22, -60, 53]

Pass 2:
  Compare 6 and -5
  Swap 6 and -5
  List after swap: [-5, 6, 18, -56, -26, 22, -60, 53]
  Compare 6 and 18
  No swap needed
  Compare 18 and -56
  Swap 18 and -56
  List after swap: [-5, 6, -56, 18, -26, 22, -60, 53]
  Compare 18 and -26
  Swap 18 and -26
  List after swap: [-5, 6, -56, -26, 18, 22, -60, 53]
  Compare 18 and 22
  No swap needed
  Compare 22 and -60
  Swap 22 and -60
  List after swap: [-5, 6, -56, -26, 18, -60, 22, 53]

Pass 3:
  Compare -5 and 6
  No swap needed
  Compare 6 and -56
  Swap 6 and -56
  List after swap: [-5, -56, 6, -26, 18, -60, 22, 53]
  Compare 6 and -26
  Swap 6 and -26
  List after swap: [-5, -56, -26, 6, 18, -60, 22, 53]
  Compare 6 and 18
  No swap needed
  Compare 18 and -60
  Swap 18 and -60
  List after swap: [-5, -56, -26, 6, -60, 18, 22, 53]

Pass 4:
  Compare -5 and -56
  Swap -5 and -56
  List after swap: [-56, -5, -26, 6, -60, 18, 22, 53]
  Compare -5 and -26
  Swap -5 and -26
  List after swap: [-56, -26, -5, 6, -60, 18, 22, 53]
  Compare -5 and 6
  No swap needed
  Compare 6 and -60
  Swap 6 and -60
  List after swap: [-56, -26, -5, -60, 6, 18, 22, 53]

Pass 5:
  Compare -56 and -26
  No swap needed
  Compare -26 and -5
  No swap needed
  Compare -5 and -60
  Swap -5 and -60
  List after swap: [-56, -26, -60, -5, 6, 18, 22, 53]

Pass 6:
  Compare -56 and -26
  No swap needed
  Compare -26 and -60
  Swap -26 and -60
  List after swap: [-56, -60, -26, -5, 6, 18, 22, 53]

Pass 7:
  Compare -56 and -60
  Swap -56 and -60
  List after swap: [-60, -56, -26, -5, 6, 18, 22, 53]

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

Final sorted list: [-60, -56, -26, -5, 6, 18, 22, 53]
</think>

<response>-60, -56, -26, -5, 6, 18, 22, 53</response>


input: Using the bubble sort method, sort -82, -49, 58, 45, -70, -93, 62, 85, 90 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-82, -49, 58, 45, -70, -93, 62, 85, 90]

Pass 1:
  Compare -82 and -49
  No swap needed
  Compare -49 and 58
  No swap needed
  Compare 58 and 45
  Swap 58 and 45
  List after swap: [-82, -49, 45, 58, -70, -93, 62, 85, 90]
  Compare 58 and -70
  Swap 58 and -70
  List after swap: [-82, -49, 45, -70, 58, -93, 62, 85, 90]
  Compare 58 and -93
  Swap 58 and -93
  List after swap: [-82, -49, 45, -70, -93, 58, 62, 85, 90]
  Compare 58 and 62
  No swap needed
  Compare 62 and 85
  No swap needed
  Compare 85 and 90
  No swap needed

Pass 2:
  Compare -82 and -49
  No swap needed
  Compare -49 and 45
  No swap needed
  Compare 45 and -70
  Swap 45 and -70
  List after swap: [-82, -49, -70, 45, -93, 58, 62, 85, 90]
  Compare 45 and -93
  Swap 45 and -93
  List after swap: [-82, -49, -70, -93, 45, 58, 62, 85, 90]
  Compare 45 and 58
  No swap needed
  Compare 58 and 62
  No swap needed
  Compare 62 and 85
  No swap needed

Pass 3:
  Compare -82 and -49
  No swap needed
  Compare -49 and -70
  Swap -49 and -70
  List after swap: [-82, -70, -49, -93, 45, 58, 62, 85, 90]
  Compare -49 and -93
  Swap -49 and -93
  List after swap: [-82, -70, -93, -49, 45, 58, 62, 85, 90]
  Compare -49 and 45
  No swap needed
  Compare 45 and 58
  No swap needed
  Compare 58 and 62
  No swap needed

Pass 4:
  Compare -82 and -70
  No swap needed
  Compare -70 and -93
  Swap -70 and -93
  List after swap: [-82, -93, -70, -49, 45, 58, 62, 85, 90]
  Compare -70 and -49
  No swap needed
  Compare -49 and 45
  No swap needed
  Compare 45 and 58
  No swap needed

Pass 5:
  Compare -82 and -93
  Swap -82 and -93
  List after swap: [-93, -82, -70, -49, 45, 58, 62, 85, 90]
  Compare -82 and -70
  No swap needed
  Compare -70 and -49
  No swap needed
  Compare -49 and 45
  No swap needed

Pass 6:
  Compare -93 and -82
  No swap needed
  Compare -82 and -70
  No swap needed
  Compare -70 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -82, -70, -49, 45, 58, 62, 85, 90]
</think>

<response>-93, -82, -70, -49, 45, 58, 62, 85, 90</response>


input: Implement bubble sort on 15, 39, -76, -91 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [15, 39, -76, -91]

Pass 1:
  Compare 15 and 39
  No swap needed
  Compare 39 and -76
  Swap 39 and -76
  List after swap: [15, -76, 39, -91]
  Compare 39 and -91
  Swap 39 and -91
  List after swap: [15, -76, -91, 39]

Pass 2:
  Compare 15 and -76
  Swap 15 and -76
  List after swap: [-76, 15, -91, 39]
  Compare 15 and -91
  Swap 15 and -91
  List after swap: [-76, -91, 15, 39]

Pass 3:
  Compare -76 and -91
  Swap -76 and -91
  List after swap: [-91, -76, 15, 39]

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

Final sorted list: [-91, -76, 15, 39]
</think>

<response>-91, -76, 15, 39</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -10, -32, 37, -26, -18, 26.

output:
<think>
Initial list: [-10, -32, 37, -26, -18, 26]

Pass 1:
  Compare -10 and -32
  Swap -10 and -32
  List after swap: [-32, -10, 37, -26, -18, 26]
  Compare -10 and 37
  No swap needed
  Compare 37 and -26
  Swap 37 and -26
  List after swap: [-32, -10, -26, 37, -18, 26]
  Compare 37 and -18
  Swap 37 and -18
  List after swap: [-32, -10, -26, -18, 37, 26]
  Compare 37 and 26
  Swap 37 and 26
  List after swap: [-32, -10, -26, -18, 26, 37]

Pass 2:
  Compare -32 and -10
  No swap needed
  Compare -10 and -26
  Swap -10 and -26
  List after swap: [-32, -26, -10, -18, 26, 37]
  Compare -10 and -18
  Swap -10 and -18
  List after swap: [-32, -26, -18, -10, 26, 37]
  Compare -10 and 26
  No swap needed

Pass 3:
  Compare -32 and -26
  No swap needed
  Compare -26 and -18
  No swap needed
  Compare -18 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-32, -26, -18, -10, 26, 37]
</think>

<response>-32, -26, -18, -10, 26, 37</response>


input: Arrange the numbers -86, 10, 54, -26 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-86, 10, 54, -26]

Pass 1:
  Compare -86 and 10
  No swap needed
  Compare 10 and 54
  No swap needed
  Compare 54 and -26
  Swap 54 and -26
  List after swap: [-86, 10, -26, 54]

Pass 2:
  Compare -86 and 10
  No swap needed
  Compare 10 and -26
  Swap 10 and -26
  List after swap: [-86, -26, 10, 54]

Pass 3:
  Compare -86 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -26, 10, 54]
</think>

<response>-86, -26, 10, 54</response>