input: Demonstrate how bubble sort orders the integers 51, -57, 63, -18, -72, 76, 90 in ascending sequence, showing all steps.

output:
<think>
Initial list: [51, -57, 63, -18, -72, 76, 90]

Pass 1:
  Compare 51 and -57
  Swap 51 and -57
  List after swap: [-57, 51, 63, -18, -72, 76, 90]
  Compare 51 and 63
  No swap needed
  Compare 63 and -18
  Swap 63 and -18
  List after swap: [-57, 51, -18, 63, -72, 76, 90]
  Compare 63 and -72
  Swap 63 and -72
  List after swap: [-57, 51, -18, -72, 63, 76, 90]
  Compare 63 and 76
  No swap needed
  Compare 76 and 90
  No swap needed

Pass 2:
  Compare -57 and 51
  No swap needed
  Compare 51 and -18
  Swap 51 and -18
  List after swap: [-57, -18, 51, -72, 63, 76, 90]
  Compare 51 and -72
  Swap 51 and -72
  List after swap: [-57, -18, -72, 51, 63, 76, 90]
  Compare 51 and 63
  No swap needed
  Compare 63 and 76
  No swap needed

Pass 3:
  Compare -57 and -18
  No swap needed
  Compare -18 and -72
  Swap -18 and -72
  List after swap: [-57, -72, -18, 51, 63, 76, 90]
  Compare -18 and 51
  No swap needed
  Compare 51 and 63
  No swap needed

Pass 4:
  Compare -57 and -72
  Swap -57 and -72
  List after swap: [-72, -57, -18, 51, 63, 76, 90]
  Compare -57 and -18
  No swap needed
  Compare -18 and 51
  No swap needed

Pass 5:
  Compare -72 and -57
  No swap needed
  Compare -57 and -18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -57, -18, 51, 63, 76, 90]
</think>

<response>-72, -57, -18, 51, 63, 76, 90</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -31, 94, 0, 52, -83.

output:
<think>
Initial list: [-31, 94, 0, 52, -83]

Pass 1:
  Compare -31 and 94
  No swap needed
  Compare 94 and 0
  Swap 94 and 0
  List after swap: [-31, 0, 94, 52, -83]
  Compare 94 and 52
  Swap 94 and 52
  List after swap: [-31, 0, 52, 94, -83]
  Compare 94 and -83
  Swap 94 and -83
  List after swap: [-31, 0, 52, -83, 94]

Pass 2:
  Compare -31 and 0
  No swap needed
  Compare 0 and 52
  No swap needed
  Compare 52 and -83
  Swap 52 and -83
  List after swap: [-31, 0, -83, 52, 94]

Pass 3:
  Compare -31 and 0
  No swap needed
  Compare 0 and -83
  Swap 0 and -83
  List after swap: [-31, -83, 0, 52, 94]

Pass 4:
  Compare -31 and -83
  Swap -31 and -83
  List after swap: [-83, -31, 0, 52, 94]

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

Final sorted list: [-83, -31, 0, 52, 94]
</think>

<response>-83, -31, 0, 52, 94</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -23, -39.

output:
<think>
Initial list: [-23, -39]

Pass 1:
  Compare -23 and -39
  Swap -23 and -39
  List after swap: [-39, -23]

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

Final sorted list: [-39, -23]
</think>

<response>-39, -23</response>


input: Carry out the bubble sort algorithm on -9, 32, 16, -88, 14, -6 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-9, 32, 16, -88, 14, -6]

Pass 1:
  Compare -9 and 32
  No swap needed
  Compare 32 and 16
  Swap 32 and 16
  List after swap: [-9, 16, 32, -88, 14, -6]
  Compare 32 and -88
  Swap 32 and -88
  List after swap: [-9, 16, -88, 32, 14, -6]
  Compare 32 and 14
  Swap 32 and 14
  List after swap: [-9, 16, -88, 14, 32, -6]
  Compare 32 and -6
  Swap 32 and -6
  List after swap: [-9, 16, -88, 14, -6, 32]

Pass 2:
  Compare -9 and 16
  No swap needed
  Compare 16 and -88
  Swap 16 and -88
  List after swap: [-9, -88, 16, 14, -6, 32]
  Compare 16 and 14
  Swap 16 and 14
  List after swap: [-9, -88, 14, 16, -6, 32]
  Compare 16 and -6
  Swap 16 and -6
  List after swap: [-9, -88, 14, -6, 16, 32]

Pass 3:
  Compare -9 and -88
  Swap -9 and -88
  List after swap: [-88, -9, 14, -6, 16, 32]
  Compare -9 and 14
  No swap needed
  Compare 14 and -6
  Swap 14 and -6
  List after swap: [-88, -9, -6, 14, 16, 32]

Pass 4:
  Compare -88 and -9
  No swap needed
  Compare -9 and -6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -9, -6, 14, 16, 32]
</think>

<response>-88, -9, -6, 14, 16, 32</response>


input: Sort the list 75, 52, 62, 13 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [75, 52, 62, 13]

Pass 1:
  Compare 75 and 52
  Swap 75 and 52
  List after swap: [52, 75, 62, 13]
  Compare 75 and 62
  Swap 75 and 62
  List after swap: [52, 62, 75, 13]
  Compare 75 and 13
  Swap 75 and 13
  List after swap: [52, 62, 13, 75]

Pass 2:
  Compare 52 and 62
  No swap needed
  Compare 62 and 13
  Swap 62 and 13
  List after swap: [52, 13, 62, 75]

Pass 3:
  Compare 52 and 13
  Swap 52 and 13
  List after swap: [13, 52, 62, 75]

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

Final sorted list: [13, 52, 62, 75]
</think>

<response>13, 52, 62, 75</response>


input: Using the bubble sort method, sort 76, 72, 45, -36, 88 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [76, 72, 45, -36, 88]

Pass 1:
  Compare 76 and 72
  Swap 76 and 72
  List after swap: [72, 76, 45, -36, 88]
  Compare 76 and 45
  Swap 76 and 45
  List after swap: [72, 45, 76, -36, 88]
  Compare 76 and -36
  Swap 76 and -36
  List after swap: [72, 45, -36, 76, 88]
  Compare 76 and 88
  No swap needed

Pass 2:
  Compare 72 and 45
  Swap 72 and 45
  List after swap: [45, 72, -36, 76, 88]
  Compare 72 and -36
  Swap 72 and -36
  List after swap: [45, -36, 72, 76, 88]
  Compare 72 and 76
  No swap needed

Pass 3:
  Compare 45 and -36
  Swap 45 and -36
  List after swap: [-36, 45, 72, 76, 88]
  Compare 45 and 72
  No swap needed

Pass 4:
  Compare -36 and 45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-36, 45, 72, 76, 88]
</think>

<response>-36, 45, 72, 76, 88</response>


input: Demonstrate how bubble sort orders the integers 46, -12, 96, 50, -36, 26, -11, -64, 47, -44 in ascending sequence, showing all steps.

output:
<think>
Initial list: [46, -12, 96, 50, -36, 26, -11, -64, 47, -44]

Pass 1:
  Compare 46 and -12
  Swap 46 and -12
  List after swap: [-12, 46, 96, 50, -36, 26, -11, -64, 47, -44]
  Compare 46 and 96
  No swap needed
  Compare 96 and 50
  Swap 96 and 50
  List after swap: [-12, 46, 50, 96, -36, 26, -11, -64, 47, -44]
  Compare 96 and -36
  Swap 96 and -36
  List after swap: [-12, 46, 50, -36, 96, 26, -11, -64, 47, -44]
  Compare 96 and 26
  Swap 96 and 26
  List after swap: [-12, 46, 50, -36, 26, 96, -11, -64, 47, -44]
  Compare 96 and -11
  Swap 96 and -11
  List after swap: [-12, 46, 50, -36, 26, -11, 96, -64, 47, -44]
  Compare 96 and -64
  Swap 96 and -64
  List after swap: [-12, 46, 50, -36, 26, -11, -64, 96, 47, -44]
  Compare 96 and 47
  Swap 96 and 47
  List after swap: [-12, 46, 50, -36, 26, -11, -64, 47, 96, -44]
  Compare 96 and -44
  Swap 96 and -44
  List after swap: [-12, 46, 50, -36, 26, -11, -64, 47, -44, 96]

Pass 2:
  Compare -12 and 46
  No swap needed
  Compare 46 and 50
  No swap needed
  Compare 50 and -36
  Swap 50 and -36
  List after swap: [-12, 46, -36, 50, 26, -11, -64, 47, -44, 96]
  Compare 50 and 26
  Swap 50 and 26
  List after swap: [-12, 46, -36, 26, 50, -11, -64, 47, -44, 96]
  Compare 50 and -11
  Swap 50 and -11
  List after swap: [-12, 46, -36, 26, -11, 50, -64, 47, -44, 96]
  Compare 50 and -64
  Swap 50 and -64
  List after swap: [-12, 46, -36, 26, -11, -64, 50, 47, -44, 96]
  Compare 50 and 47
  Swap 50 and 47
  List after swap: [-12, 46, -36, 26, -11, -64, 47, 50, -44, 96]
  Compare 50 and -44
  Swap 50 and -44
  List after swap: [-12, 46, -36, 26, -11, -64, 47, -44, 50, 96]

Pass 3:
  Compare -12 and 46
  No swap needed
  Compare 46 and -36
  Swap 46 and -36
  List after swap: [-12, -36, 46, 26, -11, -64, 47, -44, 50, 96]
  Compare 46 and 26
  Swap 46 and 26
  List after swap: [-12, -36, 26, 46, -11, -64, 47, -44, 50, 96]
  Compare 46 and -11
  Swap 46 and -11
  List after swap: [-12, -36, 26, -11, 46, -64, 47, -44, 50, 96]
  Compare 46 and -64
  Swap 46 and -64
  List after swap: [-12, -36, 26, -11, -64, 46, 47, -44, 50, 96]
  Compare 46 and 47
  No swap needed
  Compare 47 and -44
  Swap 47 and -44
  List after swap: [-12, -36, 26, -11, -64, 46, -44, 47, 50, 96]

Pass 4:
  Compare -12 and -36
  Swap -12 and -36
  List after swap: [-36, -12, 26, -11, -64, 46, -44, 47, 50, 96]
  Compare -12 and 26
  No swap needed
  Compare 26 and -11
  Swap 26 and -11
  List after swap: [-36, -12, -11, 26, -64, 46, -44, 47, 50, 96]
  Compare 26 and -64
  Swap 26 and -64
  List after swap: [-36, -12, -11, -64, 26, 46, -44, 47, 50, 96]
  Compare 26 and 46
  No swap needed
  Compare 46 and -44
  Swap 46 and -44
  List after swap: [-36, -12, -11, -64, 26, -44, 46, 47, 50, 96]

Pass 5:
  Compare -36 and -12
  No swap needed
  Compare -12 and -11
  No swap needed
  Compare -11 and -64
  Swap -11 and -64
  List after swap: [-36, -12, -64, -11, 26, -44, 46, 47, 50, 96]
  Compare -11 and 26
  No swap needed
  Compare 26 and -44
  Swap 26 and -44
  List after swap: [-36, -12, -64, -11, -44, 26, 46, 47, 50, 96]

Pass 6:
  Compare -36 and -12
  No swap needed
  Compare -12 and -64
  Swap -12 and -64
  List after swap: [-36, -64, -12, -11, -44, 26, 46, 47, 50, 96]
  Compare -12 and -11
  No swap needed
  Compare -11 and -44
  Swap -11 and -44
  List after swap: [-36, -64, -12, -44, -11, 26, 46, 47, 50, 96]

Pass 7:
  Compare -36 and -64
  Swap -36 and -64
  List after swap: [-64, -36, -12, -44, -11, 26, 46, 47, 50, 96]
  Compare -36 and -12
  No swap needed
  Compare -12 and -44
  Swap -12 and -44
  List after swap: [-64, -36, -44, -12, -11, 26, 46, 47, 50, 96]

Pass 8:
  Compare -64 and -36
  No swap needed
  Compare -36 and -44
  Swap -36 and -44
  List after swap: [-64, -44, -36, -12, -11, 26, 46, 47, 50, 96]

Pass 9:
  Compare -64 and -44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -44, -36, -12, -11, 26, 46, 47, 50, 96]
</think>

<response>-64, -44, -36, -12, -11, 26, 46, 47, 50, 96</response>


input: Sort the list -40, 82 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-40, 82]

Pass 1:
  Compare -40 and 82
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-40, 82]
</think>

<response>-40, 82</response>


input: Execute bubble sort to sort 27, 2, -80, 37, -2, -89, 99 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [27, 2, -80, 37, -2, -89, 99]

Pass 1:
  Compare 27 and 2
  Swap 27 and 2
  List after swap: [2, 27, -80, 37, -2, -89, 99]
  Compare 27 and -80
  Swap 27 and -80
  List after swap: [2, -80, 27, 37, -2, -89, 99]
  Compare 27 and 37
  No swap needed
  Compare 37 and -2
  Swap 37 and -2
  List after swap: [2, -80, 27, -2, 37, -89, 99]
  Compare 37 and -89
  Swap 37 and -89
  List after swap: [2, -80, 27, -2, -89, 37, 99]
  Compare 37 and 99
  No swap needed

Pass 2:
  Compare 2 and -80
  Swap 2 and -80
  List after swap: [-80, 2, 27, -2, -89, 37, 99]
  Compare 2 and 27
  No swap needed
  Compare 27 and -2
  Swap 27 and -2
  List after swap: [-80, 2, -2, 27, -89, 37, 99]
  Compare 27 and -89
  Swap 27 and -89
  List after swap: [-80, 2, -2, -89, 27, 37, 99]
  Compare 27 and 37
  No swap needed

Pass 3:
  Compare -80 and 2
  No swap needed
  Compare 2 and -2
  Swap 2 and -2
  List after swap: [-80, -2, 2, -89, 27, 37, 99]
  Compare 2 and -89
  Swap 2 and -89
  List after swap: [-80, -2, -89, 2, 27, 37, 99]
  Compare 2 and 27
  No swap needed

Pass 4:
  Compare -80 and -2
  No swap needed
  Compare -2 and -89
  Swap -2 and -89
  List after swap: [-80, -89, -2, 2, 27, 37, 99]
  Compare -2 and 2
  No swap needed

Pass 5:
  Compare -80 and -89
  Swap -80 and -89
  List after swap: [-89, -80, -2, 2, 27, 37, 99]
  Compare -80 and -2
  No swap needed

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

Final sorted list: [-89, -80, -2, 2, 27, 37, 99]
</think>

<response>-89, -80, -2, 2, 27, 37, 99</response>


input: Sort these integers 87, 16, 78, -78, 18 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [87, 16, 78, -78, 18]

Pass 1:
  Compare 87 and 16
  Swap 87 and 16
  List after swap: [16, 87, 78, -78, 18]
  Compare 87 and 78
  Swap 87 and 78
  List after swap: [16, 78, 87, -78, 18]
  Compare 87 and -78
  Swap 87 and -78
  List after swap: [16, 78, -78, 87, 18]
  Compare 87 and 18
  Swap 87 and 18
  List after swap: [16, 78, -78, 18, 87]

Pass 2:
  Compare 16 and 78
  No swap needed
  Compare 78 and -78
  Swap 78 and -78
  List after swap: [16, -78, 78, 18, 87]
  Compare 78 and 18
  Swap 78 and 18
  List after swap: [16, -78, 18, 78, 87]

Pass 3:
  Compare 16 and -78
  Swap 16 and -78
  List after swap: [-78, 16, 18, 78, 87]
  Compare 16 and 18
  No swap needed

Pass 4:
  Compare -78 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, 16, 18, 78, 87]
</think>

<response>-78, 16, 18, 78, 87</response>


input: Execute bubble sort to sort -74, 77, 58, -97, 8, -66, -72, -50 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-74, 77, 58, -97, 8, -66, -72, -50]

Pass 1:
  Compare -74 and 77
  No swap needed
  Compare 77 and 58
  Swap 77 and 58
  List after swap: [-74, 58, 77, -97, 8, -66, -72, -50]
  Compare 77 and -97
  Swap 77 and -97
  List after swap: [-74, 58, -97, 77, 8, -66, -72, -50]
  Compare 77 and 8
  Swap 77 and 8
  List after swap: [-74, 58, -97, 8, 77, -66, -72, -50]
  Compare 77 and -66
  Swap 77 and -66
  List after swap: [-74, 58, -97, 8, -66, 77, -72, -50]
  Compare 77 and -72
  Swap 77 and -72
  List after swap: [-74, 58, -97, 8, -66, -72, 77, -50]
  Compare 77 and -50
  Swap 77 and -50
  List after swap: [-74, 58, -97, 8, -66, -72, -50, 77]

Pass 2:
  Compare -74 and 58
  No swap needed
  Compare 58 and -97
  Swap 58 and -97
  List after swap: [-74, -97, 58, 8, -66, -72, -50, 77]
  Compare 58 and 8
  Swap 58 and 8
  List after swap: [-74, -97, 8, 58, -66, -72, -50, 77]
  Compare 58 and -66
  Swap 58 and -66
  List after swap: [-74, -97, 8, -66, 58, -72, -50, 77]
  Compare 58 and -72
  Swap 58 and -72
  List after swap: [-74, -97, 8, -66, -72, 58, -50, 77]
  Compare 58 and -50
  Swap 58 and -50
  List after swap: [-74, -97, 8, -66, -72, -50, 58, 77]

Pass 3:
  Compare -74 and -97
  Swap -74 and -97
  List after swap: [-97, -74, 8, -66, -72, -50, 58, 77]
  Compare -74 and 8
  No swap needed
  Compare 8 and -66
  Swap 8 and -66
  List after swap: [-97, -74, -66, 8, -72, -50, 58, 77]
  Compare 8 and -72
  Swap 8 and -72
  List after swap: [-97, -74, -66, -72, 8, -50, 58, 77]
  Compare 8 and -50
  Swap 8 and -50
  List after swap: [-97, -74, -66, -72, -50, 8, 58, 77]

Pass 4:
  Compare -97 and -74
  No swap needed
  Compare -74 and -66
  No swap needed
  Compare -66 and -72
  Swap -66 and -72
  List after swap: [-97, -74, -72, -66, -50, 8, 58, 77]
  Compare -66 and -50
  No swap needed

Pass 5:
  Compare -97 and -74
  No swap needed
  Compare -74 and -72
  No swap needed
  Compare -72 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -74, -72, -66, -50, 8, 58, 77]
</think>

<response>-97, -74, -72, -66, -50, 8, 58, 77</response>


input: Use the bubble sort technique to reorder -44, 96 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-44, 96]

Pass 1:
  Compare -44 and 96
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-44, 96]
</think>

<response>-44, 96</response>


input: Sort these integers -19, 22, -23 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-19, 22, -23]

Pass 1:
  Compare -19 and 22
  No swap needed
  Compare 22 and -23
  Swap 22 and -23
  List after swap: [-19, -23, 22]

Pass 2:
  Compare -19 and -23
  Swap -19 and -23
  List after swap: [-23, -19, 22]

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

Final sorted list: [-23, -19, 22]
</think>

<response>-23, -19, 22</response>


input: Implement bubble sort on 29, -14, 90, -29, -76, -83, -90, -13 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [29, -14, 90, -29, -76, -83, -90, -13]

Pass 1:
  Compare 29 and -14
  Swap 29 and -14
  List after swap: [-14, 29, 90, -29, -76, -83, -90, -13]
  Compare 29 and 90
  No swap needed
  Compare 90 and -29
  Swap 90 and -29
  List after swap: [-14, 29, -29, 90, -76, -83, -90, -13]
  Compare 90 and -76
  Swap 90 and -76
  List after swap: [-14, 29, -29, -76, 90, -83, -90, -13]
  Compare 90 and -83
  Swap 90 and -83
  List after swap: [-14, 29, -29, -76, -83, 90, -90, -13]
  Compare 90 and -90
  Swap 90 and -90
  List after swap: [-14, 29, -29, -76, -83, -90, 90, -13]
  Compare 90 and -13
  Swap 90 and -13
  List after swap: [-14, 29, -29, -76, -83, -90, -13, 90]

Pass 2:
  Compare -14 and 29
  No swap needed
  Compare 29 and -29
  Swap 29 and -29
  List after swap: [-14, -29, 29, -76, -83, -90, -13, 90]
  Compare 29 and -76
  Swap 29 and -76
  List after swap: [-14, -29, -76, 29, -83, -90, -13, 90]
  Compare 29 and -83
  Swap 29 and -83
  List after swap: [-14, -29, -76, -83, 29, -90, -13, 90]
  Compare 29 and -90
  Swap 29 and -90
  List after swap: [-14, -29, -76, -83, -90, 29, -13, 90]
  Compare 29 and -13
  Swap 29 and -13
  List after swap: [-14, -29, -76, -83, -90, -13, 29, 90]

Pass 3:
  Compare -14 and -29
  Swap -14 and -29
  List after swap: [-29, -14, -76, -83, -90, -13, 29, 90]
  Compare -14 and -76
  Swap -14 and -76
  List after swap: [-29, -76, -14, -83, -90, -13, 29, 90]
  Compare -14 and -83
  Swap -14 and -83
  List after swap: [-29, -76, -83, -14, -90, -13, 29, 90]
  Compare -14 and -90
  Swap -14 and -90
  List after swap: [-29, -76, -83, -90, -14, -13, 29, 90]
  Compare -14 and -13
  No swap needed

Pass 4:
  Compare -29 and -76
  Swap -29 and -76
  List after swap: [-76, -29, -83, -90, -14, -13, 29, 90]
  Compare -29 and -83
  Swap -29 and -83
  List after swap: [-76, -83, -29, -90, -14, -13, 29, 90]
  Compare -29 and -90
  Swap -29 and -90
  List after swap: [-76, -83, -90, -29, -14, -13, 29, 90]
  Compare -29 and -14
  No swap needed

Pass 5:
  Compare -76 and -83
  Swap -76 and -83
  List after swap: [-83, -76, -90, -29, -14, -13, 29, 90]
  Compare -76 and -90
  Swap -76 and -90
  List after swap: [-83, -90, -76, -29, -14, -13, 29, 90]
  Compare -76 and -29
  No swap needed

Pass 6:
  Compare -83 and -90
  Swap -83 and -90
  List after swap: [-90, -83, -76, -29, -14, -13, 29, 90]
  Compare -83 and -76
  No swap needed

Pass 7:
  Compare -90 and -83
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -83, -76, -29, -14, -13, 29, 90]
</think>

<response>-90, -83, -76, -29, -14, -13, 29, 90</response>


input: Perform a bubble sort on the integers -45, 44, -27, 17, -31, 13, -43, -69, 89, -1, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-45, 44, -27, 17, -31, 13, -43, -69, 89, -1]

Pass 1:
  Compare -45 and 44
  No swap needed
  Compare 44 and -27
  Swap 44 and -27
  List after swap: [-45, -27, 44, 17, -31, 13, -43, -69, 89, -1]
  Compare 44 and 17
  Swap 44 and 17
  List after swap: [-45, -27, 17, 44, -31, 13, -43, -69, 89, -1]
  Compare 44 and -31
  Swap 44 and -31
  List after swap: [-45, -27, 17, -31, 44, 13, -43, -69, 89, -1]
  Compare 44 and 13
  Swap 44 and 13
  List after swap: [-45, -27, 17, -31, 13, 44, -43, -69, 89, -1]
  Compare 44 and -43
  Swap 44 and -43
  List after swap: [-45, -27, 17, -31, 13, -43, 44, -69, 89, -1]
  Compare 44 and -69
  Swap 44 and -69
  List after swap: [-45, -27, 17, -31, 13, -43, -69, 44, 89, -1]
  Compare 44 and 89
  No swap needed
  Compare 89 and -1
  Swap 89 and -1
  List after swap: [-45, -27, 17, -31, 13, -43, -69, 44, -1, 89]

Pass 2:
  Compare -45 and -27
  No swap needed
  Compare -27 and 17
  No swap needed
  Compare 17 and -31
  Swap 17 and -31
  List after swap: [-45, -27, -31, 17, 13, -43, -69, 44, -1, 89]
  Compare 17 and 13
  Swap 17 and 13
  List after swap: [-45, -27, -31, 13, 17, -43, -69, 44, -1, 89]
  Compare 17 and -43
  Swap 17 and -43
  List after swap: [-45, -27, -31, 13, -43, 17, -69, 44, -1, 89]
  Compare 17 and -69
  Swap 17 and -69
  List after swap: [-45, -27, -31, 13, -43, -69, 17, 44, -1, 89]
  Compare 17 and 44
  No swap needed
  Compare 44 and -1
  Swap 44 and -1
  List after swap: [-45, -27, -31, 13, -43, -69, 17, -1, 44, 89]

Pass 3:
  Compare -45 and -27
  No swap needed
  Compare -27 and -31
  Swap -27 and -31
  List after swap: [-45, -31, -27, 13, -43, -69, 17, -1, 44, 89]
  Compare -27 and 13
  No swap needed
  Compare 13 and -43
  Swap 13 and -43
  List after swap: [-45, -31, -27, -43, 13, -69, 17, -1, 44, 89]
  Compare 13 and -69
  Swap 13 and -69
  List after swap: [-45, -31, -27, -43, -69, 13, 17, -1, 44, 89]
  Compare 13 and 17
  No swap needed
  Compare 17 and -1
  Swap 17 and -1
  List after swap: [-45, -31, -27, -43, -69, 13, -1, 17, 44, 89]

Pass 4:
  Compare -45 and -31
  No swap needed
  Compare -31 and -27
  No swap needed
  Compare -27 and -43
  Swap -27 and -43
  List after swap: [-45, -31, -43, -27, -69, 13, -1, 17, 44, 89]
  Compare -27 and -69
  Swap -27 and -69
  List after swap: [-45, -31, -43, -69, -27, 13, -1, 17, 44, 89]
  Compare -27 and 13
  No swap needed
  Compare 13 and -1
  Swap 13 and -1
  List after swap: [-45, -31, -43, -69, -27, -1, 13, 17, 44, 89]

Pass 5:
  Compare -45 and -31
  No swap needed
  Compare -31 and -43
  Swap -31 and -43
  List after swap: [-45, -43, -31, -69, -27, -1, 13, 17, 44, 89]
  Compare -31 and -69
  Swap -31 and -69
  List after swap: [-45, -43, -69, -31, -27, -1, 13, 17, 44, 89]
  Compare -31 and -27
  No swap needed
  Compare -27 and -1
  No swap needed

Pass 6:
  Compare -45 and -43
  No swap needed
  Compare -43 and -69
  Swap -43 and -69
  List after swap: [-45, -69, -43, -31, -27, -1, 13, 17, 44, 89]
  Compare -43 and -31
  No swap needed
  Compare -31 and -27
  No swap needed

Pass 7:
  Compare -45 and -69
  Swap -45 and -69
  List after swap: [-69, -45, -43, -31, -27, -1, 13, 17, 44, 89]
  Compare -45 and -43
  No swap needed
  Compare -43 and -31
  No swap needed

Pass 8:
  Compare -69 and -45
  No swap needed
  Compare -45 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -45, -43, -31, -27, -1, 13, 17, 44, 89]
</think>

<response>-69, -45, -43, -31, -27, -1, 13, 17, 44, 89</response>


input: Using the bubble sort method, sort 5, -94, 47, -3, 67, 8, -32, -31 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [5, -94, 47, -3, 67, 8, -32, -31]

Pass 1:
  Compare 5 and -94
  Swap 5 and -94
  List after swap: [-94, 5, 47, -3, 67, 8, -32, -31]
  Compare 5 and 47
  No swap needed
  Compare 47 and -3
  Swap 47 and -3
  List after swap: [-94, 5, -3, 47, 67, 8, -32, -31]
  Compare 47 and 67
  No swap needed
  Compare 67 and 8
  Swap 67 and 8
  List after swap: [-94, 5, -3, 47, 8, 67, -32, -31]
  Compare 67 and -32
  Swap 67 and -32
  List after swap: [-94, 5, -3, 47, 8, -32, 67, -31]
  Compare 67 and -31
  Swap 67 and -31
  List after swap: [-94, 5, -3, 47, 8, -32, -31, 67]

Pass 2:
  Compare -94 and 5
  No swap needed
  Compare 5 and -3
  Swap 5 and -3
  List after swap: [-94, -3, 5, 47, 8, -32, -31, 67]
  Compare 5 and 47
  No swap needed
  Compare 47 and 8
  Swap 47 and 8
  List after swap: [-94, -3, 5, 8, 47, -32, -31, 67]
  Compare 47 and -32
  Swap 47 and -32
  List after swap: [-94, -3, 5, 8, -32, 47, -31, 67]
  Compare 47 and -31
  Swap 47 and -31
  List after swap: [-94, -3, 5, 8, -32, -31, 47, 67]

Pass 3:
  Compare -94 and -3
  No swap needed
  Compare -3 and 5
  No swap needed
  Compare 5 and 8
  No swap needed
  Compare 8 and -32
  Swap 8 and -32
  List after swap: [-94, -3, 5, -32, 8, -31, 47, 67]
  Compare 8 and -31
  Swap 8 and -31
  List after swap: [-94, -3, 5, -32, -31, 8, 47, 67]

Pass 4:
  Compare -94 and -3
  No swap needed
  Compare -3 and 5
  No swap needed
  Compare 5 and -32
  Swap 5 and -32
  List after swap: [-94, -3, -32, 5, -31, 8, 47, 67]
  Compare 5 and -31
  Swap 5 and -31
  List after swap: [-94, -3, -32, -31, 5, 8, 47, 67]

Pass 5:
  Compare -94 and -3
  No swap needed
  Compare -3 and -32
  Swap -3 and -32
  List after swap: [-94, -32, -3, -31, 5, 8, 47, 67]
  Compare -3 and -31
  Swap -3 and -31
  List after swap: [-94, -32, -31, -3, 5, 8, 47, 67]

Pass 6:
  Compare -94 and -32
  No swap needed
  Compare -32 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -32, -31, -3, 5, 8, 47, 67]
</think>

<response>-94, -32, -31, -3, 5, 8, 47, 67</response>


input: Demonstrate how bubble sort orders the integers -77, -49, -11, 47, -25, -16, 35 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-77, -49, -11, 47, -25, -16, 35]

Pass 1:
  Compare -77 and -49
  No swap needed
  Compare -49 and -11
  No swap needed
  Compare -11 and 47
  No swap needed
  Compare 47 and -25
  Swap 47 and -25
  List after swap: [-77, -49, -11, -25, 47, -16, 35]
  Compare 47 and -16
  Swap 47 and -16
  List after swap: [-77, -49, -11, -25, -16, 47, 35]
  Compare 47 and 35
  Swap 47 and 35
  List after swap: [-77, -49, -11, -25, -16, 35, 47]

Pass 2:
  Compare -77 and -49
  No swap needed
  Compare -49 and -11
  No swap needed
  Compare -11 and -25
  Swap -11 and -25
  List after swap: [-77, -49, -25, -11, -16, 35, 47]
  Compare -11 and -16
  Swap -11 and -16
  List after swap: [-77, -49, -25, -16, -11, 35, 47]
  Compare -11 and 35
  No swap needed

Pass 3:
  Compare -77 and -49
  No swap needed
  Compare -49 and -25
  No swap needed
  Compare -25 and -16
  No swap needed
  Compare -16 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -49, -25, -16, -11, 35, 47]
</think>

<response>-77, -49, -25, -16, -11, 35, 47</response>


input: Using the bubble sort method, sort -17, 92, -20, -80, -26, -76, -94, 5 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-17, 92, -20, -80, -26, -76, -94, 5]

Pass 1:
  Compare -17 and 92
  No swap needed
  Compare 92 and -20
  Swap 92 and -20
  List after swap: [-17, -20, 92, -80, -26, -76, -94, 5]
  Compare 92 and -80
  Swap 92 and -80
  List after swap: [-17, -20, -80, 92, -26, -76, -94, 5]
  Compare 92 and -26
  Swap 92 and -26
  List after swap: [-17, -20, -80, -26, 92, -76, -94, 5]
  Compare 92 and -76
  Swap 92 and -76
  List after swap: [-17, -20, -80, -26, -76, 92, -94, 5]
  Compare 92 and -94
  Swap 92 and -94
  List after swap: [-17, -20, -80, -26, -76, -94, 92, 5]
  Compare 92 and 5
  Swap 92 and 5
  List after swap: [-17, -20, -80, -26, -76, -94, 5, 92]

Pass 2:
  Compare -17 and -20
  Swap -17 and -20
  List after swap: [-20, -17, -80, -26, -76, -94, 5, 92]
  Compare -17 and -80
  Swap -17 and -80
  List after swap: [-20, -80, -17, -26, -76, -94, 5, 92]
  Compare -17 and -26
  Swap -17 and -26
  List after swap: [-20, -80, -26, -17, -76, -94, 5, 92]
  Compare -17 and -76
  Swap -17 and -76
  List after swap: [-20, -80, -26, -76, -17, -94, 5, 92]
  Compare -17 and -94
  Swap -17 and -94
  List after swap: [-20, -80, -26, -76, -94, -17, 5, 92]
  Compare -17 and 5
  No swap needed

Pass 3:
  Compare -20 and -80
  Swap -20 and -80
  List after swap: [-80, -20, -26, -76, -94, -17, 5, 92]
  Compare -20 and -26
  Swap -20 and -26
  List after swap: [-80, -26, -20, -76, -94, -17, 5, 92]
  Compare -20 and -76
  Swap -20 and -76
  List after swap: [-80, -26, -76, -20, -94, -17, 5, 92]
  Compare -20 and -94
  Swap -20 and -94
  List after swap: [-80, -26, -76, -94, -20, -17, 5, 92]
  Compare -20 and -17
  No swap needed

Pass 4:
  Compare -80 and -26
  No swap needed
  Compare -26 and -76
  Swap -26 and -76
  List after swap: [-80, -76, -26, -94, -20, -17, 5, 92]
  Compare -26 and -94
  Swap -26 and -94
  List after swap: [-80, -76, -94, -26, -20, -17, 5, 92]
  Compare -26 and -20
  No swap needed

Pass 5:
  Compare -80 and -76
  No swap needed
  Compare -76 and -94
  Swap -76 and -94
  List after swap: [-80, -94, -76, -26, -20, -17, 5, 92]
  Compare -76 and -26
  No swap needed

Pass 6:
  Compare -80 and -94
  Swap -80 and -94
  List after swap: [-94, -80, -76, -26, -20, -17, 5, 92]
  Compare -80 and -76
  No swap needed

Pass 7:
  Compare -94 and -80
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -80, -76, -26, -20, -17, 5, 92]
</think>

<response>-94, -80, -76, -26, -20, -17, 5, 92</response>


input: Perform a bubble sort on the integers 79, -84, 89, -49, 76, -1, -25, 55, 33, 99, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [79, -84, 89, -49, 76, -1, -25, 55, 33, 99]

Pass 1:
  Compare 79 and -84
  Swap 79 and -84
  List after swap: [-84, 79, 89, -49, 76, -1, -25, 55, 33, 99]
  Compare 79 and 89
  No swap needed
  Compare 89 and -49
  Swap 89 and -49
  List after swap: [-84, 79, -49, 89, 76, -1, -25, 55, 33, 99]
  Compare 89 and 76
  Swap 89 and 76
  List after swap: [-84, 79, -49, 76, 89, -1, -25, 55, 33, 99]
  Compare 89 and -1
  Swap 89 and -1
  List after swap: [-84, 79, -49, 76, -1, 89, -25, 55, 33, 99]
  Compare 89 and -25
  Swap 89 and -25
  List after swap: [-84, 79, -49, 76, -1, -25, 89, 55, 33, 99]
  Compare 89 and 55
  Swap 89 and 55
  List after swap: [-84, 79, -49, 76, -1, -25, 55, 89, 33, 99]
  Compare 89 and 33
  Swap 89 and 33
  List after swap: [-84, 79, -49, 76, -1, -25, 55, 33, 89, 99]
  Compare 89 and 99
  No swap needed

Pass 2:
  Compare -84 and 79
  No swap needed
  Compare 79 and -49
  Swap 79 and -49
  List after swap: [-84, -49, 79, 76, -1, -25, 55, 33, 89, 99]
  Compare 79 and 76
  Swap 79 and 76
  List after swap: [-84, -49, 76, 79, -1, -25, 55, 33, 89, 99]
  Compare 79 and -1
  Swap 79 and -1
  List after swap: [-84, -49, 76, -1, 79, -25, 55, 33, 89, 99]
  Compare 79 and -25
  Swap 79 and -25
  List after swap: [-84, -49, 76, -1, -25, 79, 55, 33, 89, 99]
  Compare 79 and 55
  Swap 79 and 55
  List after swap: [-84, -49, 76, -1, -25, 55, 79, 33, 89, 99]
  Compare 79 and 33
  Swap 79 and 33
  List after swap: [-84, -49, 76, -1, -25, 55, 33, 79, 89, 99]
  Compare 79 and 89
  No swap needed

Pass 3:
  Compare -84 and -49
  No swap needed
  Compare -49 and 76
  No swap needed
  Compare 76 and -1
  Swap 76 and -1
  List after swap: [-84, -49, -1, 76, -25, 55, 33, 79, 89, 99]
  Compare 76 and -25
  Swap 76 and -25
  List after swap: [-84, -49, -1, -25, 76, 55, 33, 79, 89, 99]
  Compare 76 and 55
  Swap 76 and 55
  List after swap: [-84, -49, -1, -25, 55, 76, 33, 79, 89, 99]
  Compare 76 and 33
  Swap 76 and 33
  List after swap: [-84, -49, -1, -25, 55, 33, 76, 79, 89, 99]
  Compare 76 and 79
  No swap needed

Pass 4:
  Compare -84 and -49
  No swap needed
  Compare -49 and -1
  No swap needed
  Compare -1 and -25
  Swap -1 and -25
  List after swap: [-84, -49, -25, -1, 55, 33, 76, 79, 89, 99]
  Compare -1 and 55
  No swap needed
  Compare 55 and 33
  Swap 55 and 33
  List after swap: [-84, -49, -25, -1, 33, 55, 76, 79, 89, 99]
  Compare 55 and 76
  No swap needed

Pass 5:
  Compare -84 and -49
  No swap needed
  Compare -49 and -25
  No swap needed
  Compare -25 and -1
  No swap needed
  Compare -1 and 33
  No swap needed
  Compare 33 and 55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -49, -25, -1, 33, 55, 76, 79, 89, 99]
</think>

<response>-84, -49, -25, -1, 33, 55, 76, 79, 89, 99</response>


input: Using the bubble sort method, sort 67, -46, 16, -45, -44, -82, 53, 24, 12, -93 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [67, -46, 16, -45, -44, -82, 53, 24, 12, -93]

Pass 1:
  Compare 67 and -46
  Swap 67 and -46
  List after swap: [-46, 67, 16, -45, -44, -82, 53, 24, 12, -93]
  Compare 67 and 16
  Swap 67 and 16
  List after swap: [-46, 16, 67, -45, -44, -82, 53, 24, 12, -93]
  Compare 67 and -45
  Swap 67 and -45
  List after swap: [-46, 16, -45, 67, -44, -82, 53, 24, 12, -93]
  Compare 67 and -44
  Swap 67 and -44
  List after swap: [-46, 16, -45, -44, 67, -82, 53, 24, 12, -93]
  Compare 67 and -82
  Swap 67 and -82
  List after swap: [-46, 16, -45, -44, -82, 67, 53, 24, 12, -93]
  Compare 67 and 53
  Swap 67 and 53
  List after swap: [-46, 16, -45, -44, -82, 53, 67, 24, 12, -93]
  Compare 67 and 24
  Swap 67 and 24
  List after swap: [-46, 16, -45, -44, -82, 53, 24, 67, 12, -93]
  Compare 67 and 12
  Swap 67 and 12
  List after swap: [-46, 16, -45, -44, -82, 53, 24, 12, 67, -93]
  Compare 67 and -93
  Swap 67 and -93
  List after swap: [-46, 16, -45, -44, -82, 53, 24, 12, -93, 67]

Pass 2:
  Compare -46 and 16
  No swap needed
  Compare 16 and -45
  Swap 16 and -45
  List after swap: [-46, -45, 16, -44, -82, 53, 24, 12, -93, 67]
  Compare 16 and -44
  Swap 16 and -44
  List after swap: [-46, -45, -44, 16, -82, 53, 24, 12, -93, 67]
  Compare 16 and -82
  Swap 16 and -82
  List after swap: [-46, -45, -44, -82, 16, 53, 24, 12, -93, 67]
  Compare 16 and 53
  No swap needed
  Compare 53 and 24
  Swap 53 and 24
  List after swap: [-46, -45, -44, -82, 16, 24, 53, 12, -93, 67]
  Compare 53 and 12
  Swap 53 and 12
  List after swap: [-46, -45, -44, -82, 16, 24, 12, 53, -93, 67]
  Compare 53 and -93
  Swap 53 and -93
  List after swap: [-46, -45, -44, -82, 16, 24, 12, -93, 53, 67]

Pass 3:
  Compare -46 and -45
  No swap needed
  Compare -45 and -44
  No swap needed
  Compare -44 and -82
  Swap -44 and -82
  List after swap: [-46, -45, -82, -44, 16, 24, 12, -93, 53, 67]
  Compare -44 and 16
  No swap needed
  Compare 16 and 24
  No swap needed
  Compare 24 and 12
  Swap 24 and 12
  List after swap: [-46, -45, -82, -44, 16, 12, 24, -93, 53, 67]
  Compare 24 and -93
  Swap 24 and -93
  List after swap: [-46, -45, -82, -44, 16, 12, -93, 24, 53, 67]

Pass 4:
  Compare -46 and -45
  No swap needed
  Compare -45 and -82
  Swap -45 and -82
  List after swap: [-46, -82, -45, -44, 16, 12, -93, 24, 53, 67]
  Compare -45 and -44
  No swap needed
  Compare -44 and 16
  No swap needed
  Compare 16 and 12
  Swap 16 and 12
  List after swap: [-46, -82, -45, -44, 12, 16, -93, 24, 53, 67]
  Compare 16 and -93
  Swap 16 and -93
  List after swap: [-46, -82, -45, -44, 12, -93, 16, 24, 53, 67]

Pass 5:
  Compare -46 and -82
  Swap -46 and -82
  List after swap: [-82, -46, -45, -44, 12, -93, 16, 24, 53, 67]
  Compare -46 and -45
  No swap needed
  Compare -45 and -44
  No swap needed
  Compare -44 and 12
  No swap needed
  Compare 12 and -93
  Swap 12 and -93
  List after swap: [-82, -46, -45, -44, -93, 12, 16, 24, 53, 67]

Pass 6:
  Compare -82 and -46
  No swap needed
  Compare -46 and -45
  No swap needed
  Compare -45 and -44
  No swap needed
  Compare -44 and -93
  Swap -44 and -93
  List after swap: [-82, -46, -45, -93, -44, 12, 16, 24, 53, 67]

Pass 7:
  Compare -82 and -46
  No swap needed
  Compare -46 and -45
  No swap needed
  Compare -45 and -93
  Swap -45 and -93
  List after swap: [-82, -46, -93, -45, -44, 12, 16, 24, 53, 67]

Pass 8:
  Compare -82 and -46
  No swap needed
  Compare -46 and -93
  Swap -46 and -93
  List after swap: [-82, -93, -46, -45, -44, 12, 16, 24, 53, 67]

Pass 9:
  Compare -82 and -93
  Swap -82 and -93
  List after swap: [-93, -82, -46, -45, -44, 12, 16, 24, 53, 67]

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

Final sorted list: [-93, -82, -46, -45, -44, 12, 16, 24, 53, 67]
</think>

<response>-93, -82, -46, -45, -44, 12, 16, 24, 53, 67</response>


input: Demonstrate how bubble sort orders the integers -75, -55, -48, -22, 58, -66, 79 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-75, -55, -48, -22, 58, -66, 79]

Pass 1:
  Compare -75 and -55
  No swap needed
  Compare -55 and -48
  No swap needed
  Compare -48 and -22
  No swap needed
  Compare -22 and 58
  No swap needed
  Compare 58 and -66
  Swap 58 and -66
  List after swap: [-75, -55, -48, -22, -66, 58, 79]
  Compare 58 and 79
  No swap needed

Pass 2:
  Compare -75 and -55
  No swap needed
  Compare -55 and -48
  No swap needed
  Compare -48 and -22
  No swap needed
  Compare -22 and -66
  Swap -22 and -66
  List after swap: [-75, -55, -48, -66, -22, 58, 79]
  Compare -22 and 58
  No swap needed

Pass 3:
  Compare -75 and -55
  No swap needed
  Compare -55 and -48
  No swap needed
  Compare -48 and -66
  Swap -48 and -66
  List after swap: [-75, -55, -66, -48, -22, 58, 79]
  Compare -48 and -22
  No swap needed

Pass 4:
  Compare -75 and -55
  No swap needed
  Compare -55 and -66
  Swap -55 and -66
  List after swap: [-75, -66, -55, -48, -22, 58, 79]
  Compare -55 and -48
  No swap needed

Pass 5:
  Compare -75 and -66
  No swap needed
  Compare -66 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -66, -55, -48, -22, 58, 79]
</think>

<response>-75, -66, -55, -48, -22, 58, 79</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 67, -12, 54, -29, 37, -60, 3, -83.

output:
<think>
Initial list: [67, -12, 54, -29, 37, -60, 3, -83]

Pass 1:
  Compare 67 and -12
  Swap 67 and -12
  List after swap: [-12, 67, 54, -29, 37, -60, 3, -83]
  Compare 67 and 54
  Swap 67 and 54
  List after swap: [-12, 54, 67, -29, 37, -60, 3, -83]
  Compare 67 and -29
  Swap 67 and -29
  List after swap: [-12, 54, -29, 67, 37, -60, 3, -83]
  Compare 67 and 37
  Swap 67 and 37
  List after swap: [-12, 54, -29, 37, 67, -60, 3, -83]
  Compare 67 and -60
  Swap 67 and -60
  List after swap: [-12, 54, -29, 37, -60, 67, 3, -83]
  Compare 67 and 3
  Swap 67 and 3
  List after swap: [-12, 54, -29, 37, -60, 3, 67, -83]
  Compare 67 and -83
  Swap 67 and -83
  List after swap: [-12, 54, -29, 37, -60, 3, -83, 67]

Pass 2:
  Compare -12 and 54
  No swap needed
  Compare 54 and -29
  Swap 54 and -29
  List after swap: [-12, -29, 54, 37, -60, 3, -83, 67]
  Compare 54 and 37
  Swap 54 and 37
  List after swap: [-12, -29, 37, 54, -60, 3, -83, 67]
  Compare 54 and -60
  Swap 54 and -60
  List after swap: [-12, -29, 37, -60, 54, 3, -83, 67]
  Compare 54 and 3
  Swap 54 and 3
  List after swap: [-12, -29, 37, -60, 3, 54, -83, 67]
  Compare 54 and -83
  Swap 54 and -83
  List after swap: [-12, -29, 37, -60, 3, -83, 54, 67]

Pass 3:
  Compare -12 and -29
  Swap -12 and -29
  List after swap: [-29, -12, 37, -60, 3, -83, 54, 67]
  Compare -12 and 37
  No swap needed
  Compare 37 and -60
  Swap 37 and -60
  List after swap: [-29, -12, -60, 37, 3, -83, 54, 67]
  Compare 37 and 3
  Swap 37 and 3
  List after swap: [-29, -12, -60, 3, 37, -83, 54, 67]
  Compare 37 and -83
  Swap 37 and -83
  List after swap: [-29, -12, -60, 3, -83, 37, 54, 67]

Pass 4:
  Compare -29 and -12
  No swap needed
  Compare -12 and -60
  Swap -12 and -60
  List after swap: [-29, -60, -12, 3, -83, 37, 54, 67]
  Compare -12 and 3
  No swap needed
  Compare 3 and -83
  Swap 3 and -83
  List after swap: [-29, -60, -12, -83, 3, 37, 54, 67]

Pass 5:
  Compare -29 and -60
  Swap -29 and -60
  List after swap: [-60, -29, -12, -83, 3, 37, 54, 67]
  Compare -29 and -12
  No swap needed
  Compare -12 and -83
  Swap -12 and -83
  List after swap: [-60, -29, -83, -12, 3, 37, 54, 67]

Pass 6:
  Compare -60 and -29
  No swap needed
  Compare -29 and -83
  Swap -29 and -83
  List after swap: [-60, -83, -29, -12, 3, 37, 54, 67]

Pass 7:
  Compare -60 and -83
  Swap -60 and -83
  List after swap: [-83, -60, -29, -12, 3, 37, 54, 67]

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

Final sorted list: [-83, -60, -29, -12, 3, 37, 54, 67]
</think>

<response>-83, -60, -29, -12, 3, 37, 54, 67</response>


input: Sort these integers 25, 70 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [25, 70]

Pass 1:
  Compare 25 and 70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [25, 70]
</think>

<response>25, 70</response>


input: Using the bubble sort method, sort 5, 55, -32, 31 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [5, 55, -32, 31]

Pass 1:
  Compare 5 and 55
  No swap needed
  Compare 55 and -32
  Swap 55 and -32
  List after swap: [5, -32, 55, 31]
  Compare 55 and 31
  Swap 55 and 31
  List after swap: [5, -32, 31, 55]

Pass 2:
  Compare 5 and -32
  Swap 5 and -32
  List after swap: [-32, 5, 31, 55]
  Compare 5 and 31
  No swap needed

Pass 3:
  Compare -32 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-32, 5, 31, 55]
</think>

<response>-32, 5, 31, 55</response>


input: Implement bubble sort on 97, -24, 30, 6, -65, 11 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [97, -24, 30, 6, -65, 11]

Pass 1:
  Compare 97 and -24
  Swap 97 and -24
  List after swap: [-24, 97, 30, 6, -65, 11]
  Compare 97 and 30
  Swap 97 and 30
  List after swap: [-24, 30, 97, 6, -65, 11]
  Compare 97 and 6
  Swap 97 and 6
  List after swap: [-24, 30, 6, 97, -65, 11]
  Compare 97 and -65
  Swap 97 and -65
  List after swap: [-24, 30, 6, -65, 97, 11]
  Compare 97 and 11
  Swap 97 and 11
  List after swap: [-24, 30, 6, -65, 11, 97]

Pass 2:
  Compare -24 and 30
  No swap needed
  Compare 30 and 6
  Swap 30 and 6
  List after swap: [-24, 6, 30, -65, 11, 97]
  Compare 30 and -65
  Swap 30 and -65
  List after swap: [-24, 6, -65, 30, 11, 97]
  Compare 30 and 11
  Swap 30 and 11
  List after swap: [-24, 6, -65, 11, 30, 97]

Pass 3:
  Compare -24 and 6
  No swap needed
  Compare 6 and -65
  Swap 6 and -65
  List after swap: [-24, -65, 6, 11, 30, 97]
  Compare 6 and 11
  No swap needed

Pass 4:
  Compare -24 and -65
  Swap -24 and -65
  List after swap: [-65, -24, 6, 11, 30, 97]
  Compare -24 and 6
  No swap needed

Pass 5:
  Compare -65 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -24, 6, 11, 30, 97]
</think>

<response>-65, -24, 6, 11, 30, 97</response>


input: Perform a bubble sort on the integers -58, 49, -97, 82, 37, -43, 91, -6, 27, 30, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-58, 49, -97, 82, 37, -43, 91, -6, 27, 30]

Pass 1:
  Compare -58 and 49
  No swap needed
  Compare 49 and -97
  Swap 49 and -97
  List after swap: [-58, -97, 49, 82, 37, -43, 91, -6, 27, 30]
  Compare 49 and 82
  No swap needed
  Compare 82 and 37
  Swap 82 and 37
  List after swap: [-58, -97, 49, 37, 82, -43, 91, -6, 27, 30]
  Compare 82 and -43
  Swap 82 and -43
  List after swap: [-58, -97, 49, 37, -43, 82, 91, -6, 27, 30]
  Compare 82 and 91
  No swap needed
  Compare 91 and -6
  Swap 91 and -6
  List after swap: [-58, -97, 49, 37, -43, 82, -6, 91, 27, 30]
  Compare 91 and 27
  Swap 91 and 27
  List after swap: [-58, -97, 49, 37, -43, 82, -6, 27, 91, 30]
  Compare 91 and 30
  Swap 91 and 30
  List after swap: [-58, -97, 49, 37, -43, 82, -6, 27, 30, 91]

Pass 2:
  Compare -58 and -97
  Swap -58 and -97
  List after swap: [-97, -58, 49, 37, -43, 82, -6, 27, 30, 91]
  Compare -58 and 49
  No swap needed
  Compare 49 and 37
  Swap 49 and 37
  List after swap: [-97, -58, 37, 49, -43, 82, -6, 27, 30, 91]
  Compare 49 and -43
  Swap 49 and -43
  List after swap: [-97, -58, 37, -43, 49, 82, -6, 27, 30, 91]
  Compare 49 and 82
  No swap needed
  Compare 82 and -6
  Swap 82 and -6
  List after swap: [-97, -58, 37, -43, 49, -6, 82, 27, 30, 91]
  Compare 82 and 27
  Swap 82 and 27
  List after swap: [-97, -58, 37, -43, 49, -6, 27, 82, 30, 91]
  Compare 82 and 30
  Swap 82 and 30
  List after swap: [-97, -58, 37, -43, 49, -6, 27, 30, 82, 91]

Pass 3:
  Compare -97 and -58
  No swap needed
  Compare -58 and 37
  No swap needed
  Compare 37 and -43
  Swap 37 and -43
  List after swap: [-97, -58, -43, 37, 49, -6, 27, 30, 82, 91]
  Compare 37 and 49
  No swap needed
  Compare 49 and -6
  Swap 49 and -6
  List after swap: [-97, -58, -43, 37, -6, 49, 27, 30, 82, 91]
  Compare 49 and 27
  Swap 49 and 27
  List after swap: [-97, -58, -43, 37, -6, 27, 49, 30, 82, 91]
  Compare 49 and 30
  Swap 49 and 30
  List after swap: [-97, -58, -43, 37, -6, 27, 30, 49, 82, 91]

Pass 4:
  Compare -97 and -58
  No swap needed
  Compare -58 and -43
  No swap needed
  Compare -43 and 37
  No swap needed
  Compare 37 and -6
  Swap 37 and -6
  List after swap: [-97, -58, -43, -6, 37, 27, 30, 49, 82, 91]
  Compare 37 and 27
  Swap 37 and 27
  List after swap: [-97, -58, -43, -6, 27, 37, 30, 49, 82, 91]
  Compare 37 and 30
  Swap 37 and 30
  List after swap: [-97, -58, -43, -6, 27, 30, 37, 49, 82, 91]

Pass 5:
  Compare -97 and -58
  No swap needed
  Compare -58 and -43
  No swap needed
  Compare -43 and -6
  No swap needed
  Compare -6 and 27
  No swap needed
  Compare 27 and 30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -58, -43, -6, 27, 30, 37, 49, 82, 91]
</think>

<response>-97, -58, -43, -6, 27, 30, 37, 49, 82, 91</response>


input: Sort these integers -84, -53 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-84, -53]

Pass 1:
  Compare -84 and -53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -53]
</think>

<response>-84, -53</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -60, -80, -20, 15, -36.

output:
<think>
Initial list: [-60, -80, -20, 15, -36]

Pass 1:
  Compare -60 and -80
  Swap -60 and -80
  List after swap: [-80, -60, -20, 15, -36]
  Compare -60 and -20
  No swap needed
  Compare -20 and 15
  No swap needed
  Compare 15 and -36
  Swap 15 and -36
  List after swap: [-80, -60, -20, -36, 15]

Pass 2:
  Compare -80 and -60
  No swap needed
  Compare -60 and -20
  No swap needed
  Compare -20 and -36
  Swap -20 and -36
  List after swap: [-80, -60, -36, -20, 15]

Pass 3:
  Compare -80 and -60
  No swap needed
  Compare -60 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -60, -36, -20, 15]
</think>

<response>-80, -60, -36, -20, 15</response>


input: Perform a bubble sort on the integers 66, 42, -29, 65, 75, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [66, 42, -29, 65, 75]

Pass 1:
  Compare 66 and 42
  Swap 66 and 42
  List after swap: [42, 66, -29, 65, 75]
  Compare 66 and -29
  Swap 66 and -29
  List after swap: [42, -29, 66, 65, 75]
  Compare 66 and 65
  Swap 66 and 65
  List after swap: [42, -29, 65, 66, 75]
  Compare 66 and 75
  No swap needed

Pass 2:
  Compare 42 and -29
  Swap 42 and -29
  List after swap: [-29, 42, 65, 66, 75]
  Compare 42 and 65
  No swap needed
  Compare 65 and 66
  No swap needed

Pass 3:
  Compare -29 and 42
  No swap needed
  Compare 42 and 65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-29, 42, 65, 66, 75]
</think>

<response>-29, 42, 65, 66, 75</response>


input: Arrange the numbers 93, 30, -29 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [93, 30, -29]

Pass 1:
  Compare 93 and 30
  Swap 93 and 30
  List after swap: [30, 93, -29]
  Compare 93 and -29
  Swap 93 and -29
  List after swap: [30, -29, 93]

Pass 2:
  Compare 30 and -29
  Swap 30 and -29
  List after swap: [-29, 30, 93]

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

Final sorted list: [-29, 30, 93]
</think>

<response>-29, 30, 93</response>


input: Sort the list 1, 52, -8, 73, 15, 8, 92, 13, -25, -62 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [1, 52, -8, 73, 15, 8, 92, 13, -25, -62]

Pass 1:
  Compare 1 and 52
  No swap needed
  Compare 52 and -8
  Swap 52 and -8
  List after swap: [1, -8, 52, 73, 15, 8, 92, 13, -25, -62]
  Compare 52 and 73
  No swap needed
  Compare 73 and 15
  Swap 73 and 15
  List after swap: [1, -8, 52, 15, 73, 8, 92, 13, -25, -62]
  Compare 73 and 8
  Swap 73 and 8
  List after swap: [1, -8, 52, 15, 8, 73, 92, 13, -25, -62]
  Compare 73 and 92
  No swap needed
  Compare 92 and 13
  Swap 92 and 13
  List after swap: [1, -8, 52, 15, 8, 73, 13, 92, -25, -62]
  Compare 92 and -25
  Swap 92 and -25
  List after swap: [1, -8, 52, 15, 8, 73, 13, -25, 92, -62]
  Compare 92 and -62
  Swap 92 and -62
  List after swap: [1, -8, 52, 15, 8, 73, 13, -25, -62, 92]

Pass 2:
  Compare 1 and -8
  Swap 1 and -8
  List after swap: [-8, 1, 52, 15, 8, 73, 13, -25, -62, 92]
  Compare 1 and 52
  No swap needed
  Compare 52 and 15
  Swap 52 and 15
  List after swap: [-8, 1, 15, 52, 8, 73, 13, -25, -62, 92]
  Compare 52 and 8
  Swap 52 and 8
  List after swap: [-8, 1, 15, 8, 52, 73, 13, -25, -62, 92]
  Compare 52 and 73
  No swap needed
  Compare 73 and 13
  Swap 73 and 13
  List after swap: [-8, 1, 15, 8, 52, 13, 73, -25, -62, 92]
  Compare 73 and -25
  Swap 73 and -25
  List after swap: [-8, 1, 15, 8, 52, 13, -25, 73, -62, 92]
  Compare 73 and -62
  Swap 73 and -62
  List after swap: [-8, 1, 15, 8, 52, 13, -25, -62, 73, 92]

Pass 3:
  Compare -8 and 1
  No swap needed
  Compare 1 and 15
  No swap needed
  Compare 15 and 8
  Swap 15 and 8
  List after swap: [-8, 1, 8, 15, 52, 13, -25, -62, 73, 92]
  Compare 15 and 52
  No swap needed
  Compare 52 and 13
  Swap 52 and 13
  List after swap: [-8, 1, 8, 15, 13, 52, -25, -62, 73, 92]
  Compare 52 and -25
  Swap 52 and -25
  List after swap: [-8, 1, 8, 15, 13, -25, 52, -62, 73, 92]
  Compare 52 and -62
  Swap 52 and -62
  List after swap: [-8, 1, 8, 15, 13, -25, -62, 52, 73, 92]

Pass 4:
  Compare -8 and 1
  No swap needed
  Compare 1 and 8
  No swap needed
  Compare 8 and 15
  No swap needed
  Compare 15 and 13
  Swap 15 and 13
  List after swap: [-8, 1, 8, 13, 15, -25, -62, 52, 73, 92]
  Compare 15 and -25
  Swap 15 and -25
  List after swap: [-8, 1, 8, 13, -25, 15, -62, 52, 73, 92]
  Compare 15 and -62
  Swap 15 and -62
  List after swap: [-8, 1, 8, 13, -25, -62, 15, 52, 73, 92]

Pass 5:
  Compare -8 and 1
  No swap needed
  Compare 1 and 8
  No swap needed
  Compare 8 and 13
  No swap needed
  Compare 13 and -25
  Swap 13 and -25
  List after swap: [-8, 1, 8, -25, 13, -62, 15, 52, 73, 92]
  Compare 13 and -62
  Swap 13 and -62
  List after swap: [-8, 1, 8, -25, -62, 13, 15, 52, 73, 92]

Pass 6:
  Compare -8 and 1
  No swap needed
  Compare 1 and 8
  No swap needed
  Compare 8 and -25
  Swap 8 and -25
  List after swap: [-8, 1, -25, 8, -62, 13, 15, 52, 73, 92]
  Compare 8 and -62
  Swap 8 and -62
  List after swap: [-8, 1, -25, -62, 8, 13, 15, 52, 73, 92]

Pass 7:
  Compare -8 and 1
  No swap needed
  Compare 1 and -25
  Swap 1 and -25
  List after swap: [-8, -25, 1, -62, 8, 13, 15, 52, 73, 92]
  Compare 1 and -62
  Swap 1 and -62
  List after swap: [-8, -25, -62, 1, 8, 13, 15, 52, 73, 92]

Pass 8:
  Compare -8 and -25
  Swap -8 and -25
  List after swap: [-25, -8, -62, 1, 8, 13, 15, 52, 73, 92]
  Compare -8 and -62
  Swap -8 and -62
  List after swap: [-25, -62, -8, 1, 8, 13, 15, 52, 73, 92]

Pass 9:
  Compare -25 and -62
  Swap -25 and -62
  List after swap: [-62, -25, -8, 1, 8, 13, 15, 52, 73, 92]

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

Final sorted list: [-62, -25, -8, 1, 8, 13, 15, 52, 73, 92]
</think>

<response>-62, -25, -8, 1, 8, 13, 15, 52, 73, 92</response>


input: Sort these integers -58, 77, -89, 60, 13, 1, -92, -28, 3, -78 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-58, 77, -89, 60, 13, 1, -92, -28, 3, -78]

Pass 1:
  Compare -58 and 77
  No swap needed
  Compare 77 and -89
  Swap 77 and -89
  List after swap: [-58, -89, 77, 60, 13, 1, -92, -28, 3, -78]
  Compare 77 and 60
  Swap 77 and 60
  List after swap: [-58, -89, 60, 77, 13, 1, -92, -28, 3, -78]
  Compare 77 and 13
  Swap 77 and 13
  List after swap: [-58, -89, 60, 13, 77, 1, -92, -28, 3, -78]
  Compare 77 and 1
  Swap 77 and 1
  List after swap: [-58, -89, 60, 13, 1, 77, -92, -28, 3, -78]
  Compare 77 and -92
  Swap 77 and -92
  List after swap: [-58, -89, 60, 13, 1, -92, 77, -28, 3, -78]
  Compare 77 and -28
  Swap 77 and -28
  List after swap: [-58, -89, 60, 13, 1, -92, -28, 77, 3, -78]
  Compare 77 and 3
  Swap 77 and 3
  List after swap: [-58, -89, 60, 13, 1, -92, -28, 3, 77, -78]
  Compare 77 and -78
  Swap 77 and -78
  List after swap: [-58, -89, 60, 13, 1, -92, -28, 3, -78, 77]

Pass 2:
  Compare -58 and -89
  Swap -58 and -89
  List after swap: [-89, -58, 60, 13, 1, -92, -28, 3, -78, 77]
  Compare -58 and 60
  No swap needed
  Compare 60 and 13
  Swap 60 and 13
  List after swap: [-89, -58, 13, 60, 1, -92, -28, 3, -78, 77]
  Compare 60 and 1
  Swap 60 and 1
  List after swap: [-89, -58, 13, 1, 60, -92, -28, 3, -78, 77]
  Compare 60 and -92
  Swap 60 and -92
  List after swap: [-89, -58, 13, 1, -92, 60, -28, 3, -78, 77]
  Compare 60 and -28
  Swap 60 and -28
  List after swap: [-89, -58, 13, 1, -92, -28, 60, 3, -78, 77]
  Compare 60 and 3
  Swap 60 and 3
  List after swap: [-89, -58, 13, 1, -92, -28, 3, 60, -78, 77]
  Compare 60 and -78
  Swap 60 and -78
  List after swap: [-89, -58, 13, 1, -92, -28, 3, -78, 60, 77]

Pass 3:
  Compare -89 and -58
  No swap needed
  Compare -58 and 13
  No swap needed
  Compare 13 and 1
  Swap 13 and 1
  List after swap: [-89, -58, 1, 13, -92, -28, 3, -78, 60, 77]
  Compare 13 and -92
  Swap 13 and -92
  List after swap: [-89, -58, 1, -92, 13, -28, 3, -78, 60, 77]
  Compare 13 and -28
  Swap 13 and -28
  List after swap: [-89, -58, 1, -92, -28, 13, 3, -78, 60, 77]
  Compare 13 and 3
  Swap 13 and 3
  List after swap: [-89, -58, 1, -92, -28, 3, 13, -78, 60, 77]
  Compare 13 and -78
  Swap 13 and -78
  List after swap: [-89, -58, 1, -92, -28, 3, -78, 13, 60, 77]

Pass 4:
  Compare -89 and -58
  No swap needed
  Compare -58 and 1
  No swap needed
  Compare 1 and -92
  Swap 1 and -92
  List after swap: [-89, -58, -92, 1, -28, 3, -78, 13, 60, 77]
  Compare 1 and -28
  Swap 1 and -28
  List after swap: [-89, -58, -92, -28, 1, 3, -78, 13, 60, 77]
  Compare 1 and 3
  No swap needed
  Compare 3 and -78
  Swap 3 and -78
  List after swap: [-89, -58, -92, -28, 1, -78, 3, 13, 60, 77]

Pass 5:
  Compare -89 and -58
  No swap needed
  Compare -58 and -92
  Swap -58 and -92
  List after swap: [-89, -92, -58, -28, 1, -78, 3, 13, 60, 77]
  Compare -58 and -28
  No swap needed
  Compare -28 and 1
  No swap needed
  Compare 1 and -78
  Swap 1 and -78
  List after swap: [-89, -92, -58, -28, -78, 1, 3, 13, 60, 77]

Pass 6:
  Compare -89 and -92
  Swap -89 and -92
  List after swap: [-92, -89, -58, -28, -78, 1, 3, 13, 60, 77]
  Compare -89 and -58
  No swap needed
  Compare -58 and -28
  No swap needed
  Compare -28 and -78
  Swap -28 and -78
  List after swap: [-92, -89, -58, -78, -28, 1, 3, 13, 60, 77]

Pass 7:
  Compare -92 and -89
  No swap needed
  Compare -89 and -58
  No swap needed
  Compare -58 and -78
  Swap -58 and -78
  List after swap: [-92, -89, -78, -58, -28, 1, 3, 13, 60, 77]

Pass 8:
  Compare -92 and -89
  No swap needed
  Compare -89 and -78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -89, -78, -58, -28, 1, 3, 13, 60, 77]
</think>

<response>-92, -89, -78, -58, -28, 1, 3, 13, 60, 77</response>


input: Use the bubble sort technique to reorder -74, 2, 70 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-74, 2, 70]

Pass 1:
  Compare -74 and 2
  No swap needed
  Compare 2 and 70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, 2, 70]
</think>

<response>-74, 2, 70</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -91, -20, -21, 68, -33, 60, 58, 50, 22.

output:
<think>
Initial list: [-91, -20, -21, 68, -33, 60, 58, 50, 22]

Pass 1:
  Compare -91 and -20
  No swap needed
  Compare -20 and -21
  Swap -20 and -21
  List after swap: [-91, -21, -20, 68, -33, 60, 58, 50, 22]
  Compare -20 and 68
  No swap needed
  Compare 68 and -33
  Swap 68 and -33
  List after swap: [-91, -21, -20, -33, 68, 60, 58, 50, 22]
  Compare 68 and 60
  Swap 68 and 60
  List after swap: [-91, -21, -20, -33, 60, 68, 58, 50, 22]
  Compare 68 and 58
  Swap 68 and 58
  List after swap: [-91, -21, -20, -33, 60, 58, 68, 50, 22]
  Compare 68 and 50
  Swap 68 and 50
  List after swap: [-91, -21, -20, -33, 60, 58, 50, 68, 22]
  Compare 68 and 22
  Swap 68 and 22
  List after swap: [-91, -21, -20, -33, 60, 58, 50, 22, 68]

Pass 2:
  Compare -91 and -21
  No swap needed
  Compare -21 and -20
  No swap needed
  Compare -20 and -33
  Swap -20 and -33
  List after swap: [-91, -21, -33, -20, 60, 58, 50, 22, 68]
  Compare -20 and 60
  No swap needed
  Compare 60 and 58
  Swap 60 and 58
  List after swap: [-91, -21, -33, -20, 58, 60, 50, 22, 68]
  Compare 60 and 50
  Swap 60 and 50
  List after swap: [-91, -21, -33, -20, 58, 50, 60, 22, 68]
  Compare 60 and 22
  Swap 60 and 22
  List after swap: [-91, -21, -33, -20, 58, 50, 22, 60, 68]

Pass 3:
  Compare -91 and -21
  No swap needed
  Compare -21 and -33
  Swap -21 and -33
  List after swap: [-91, -33, -21, -20, 58, 50, 22, 60, 68]
  Compare -21 and -20
  No swap needed
  Compare -20 and 58
  No swap needed
  Compare 58 and 50
  Swap 58 and 50
  List after swap: [-91, -33, -21, -20, 50, 58, 22, 60, 68]
  Compare 58 and 22
  Swap 58 and 22
  List after swap: [-91, -33, -21, -20, 50, 22, 58, 60, 68]

Pass 4:
  Compare -91 and -33
  No swap needed
  Compare -33 and -21
  No swap needed
  Compare -21 and -20
  No swap needed
  Compare -20 and 50
  No swap needed
  Compare 50 and 22
  Swap 50 and 22
  List after swap: [-91, -33, -21, -20, 22, 50, 58, 60, 68]

Pass 5:
  Compare -91 and -33
  No swap needed
  Compare -33 and -21
  No swap needed
  Compare -21 and -20
  No swap needed
  Compare -20 and 22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -33, -21, -20, 22, 50, 58, 60, 68]
</think>

<response>-91, -33, -21, -20, 22, 50, 58, 60, 68</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -88, 66, -68, 52, -66, -67, -62, -72.

output:
<think>
Initial list: [-88, 66, -68, 52, -66, -67, -62, -72]

Pass 1:
  Compare -88 and 66
  No swap needed
  Compare 66 and -68
  Swap 66 and -68
  List after swap: [-88, -68, 66, 52, -66, -67, -62, -72]
  Compare 66 and 52
  Swap 66 and 52
  List after swap: [-88, -68, 52, 66, -66, -67, -62, -72]
  Compare 66 and -66
  Swap 66 and -66
  List after swap: [-88, -68, 52, -66, 66, -67, -62, -72]
  Compare 66 and -67
  Swap 66 and -67
  List after swap: [-88, -68, 52, -66, -67, 66, -62, -72]
  Compare 66 and -62
  Swap 66 and -62
  List after swap: [-88, -68, 52, -66, -67, -62, 66, -72]
  Compare 66 and -72
  Swap 66 and -72
  List after swap: [-88, -68, 52, -66, -67, -62, -72, 66]

Pass 2:
  Compare -88 and -68
  No swap needed
  Compare -68 and 52
  No swap needed
  Compare 52 and -66
  Swap 52 and -66
  List after swap: [-88, -68, -66, 52, -67, -62, -72, 66]
  Compare 52 and -67
  Swap 52 and -67
  List after swap: [-88, -68, -66, -67, 52, -62, -72, 66]
  Compare 52 and -62
  Swap 52 and -62
  List after swap: [-88, -68, -66, -67, -62, 52, -72, 66]
  Compare 52 and -72
  Swap 52 and -72
  List after swap: [-88, -68, -66, -67, -62, -72, 52, 66]

Pass 3:
  Compare -88 and -68
  No swap needed
  Compare -68 and -66
  No swap needed
  Compare -66 and -67
  Swap -66 and -67
  List after swap: [-88, -68, -67, -66, -62, -72, 52, 66]
  Compare -66 and -62
  No swap needed
  Compare -62 and -72
  Swap -62 and -72
  List after swap: [-88, -68, -67, -66, -72, -62, 52, 66]

Pass 4:
  Compare -88 and -68
  No swap needed
  Compare -68 and -67
  No swap needed
  Compare -67 and -66
  No swap needed
  Compare -66 and -72
  Swap -66 and -72
  List after swap: [-88, -68, -67, -72, -66, -62, 52, 66]

Pass 5:
  Compare -88 and -68
  No swap needed
  Compare -68 and -67
  No swap needed
  Compare -67 and -72
  Swap -67 and -72
  List after swap: [-88, -68, -72, -67, -66, -62, 52, 66]

Pass 6:
  Compare -88 and -68
  No swap needed
  Compare -68 and -72
  Swap -68 and -72
  List after swap: [-88, -72, -68, -67, -66, -62, 52, 66]

Pass 7:
  Compare -88 and -72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -72, -68, -67, -66, -62, 52, 66]
</think>

<response>-88, -72, -68, -67, -66, -62, 52, 66</response>


input: Using the bubble sort method, sort 24, 3, 7, -93 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [24, 3, 7, -93]

Pass 1:
  Compare 24 and 3
  Swap 24 and 3
  List after swap: [3, 24, 7, -93]
  Compare 24 and 7
  Swap 24 and 7
  List after swap: [3, 7, 24, -93]
  Compare 24 and -93
  Swap 24 and -93
  List after swap: [3, 7, -93, 24]

Pass 2:
  Compare 3 and 7
  No swap needed
  Compare 7 and -93
  Swap 7 and -93
  List after swap: [3, -93, 7, 24]

Pass 3:
  Compare 3 and -93
  Swap 3 and -93
  List after swap: [-93, 3, 7, 24]

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

Final sorted list: [-93, 3, 7, 24]
</think>

<response>-93, 3, 7, 24</response>


input: Using the bubble sort method, sort 17, 80, 96, 64, 92, -36, 32, 28 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [17, 80, 96, 64, 92, -36, 32, 28]

Pass 1:
  Compare 17 and 80
  No swap needed
  Compare 80 and 96
  No swap needed
  Compare 96 and 64
  Swap 96 and 64
  List after swap: [17, 80, 64, 96, 92, -36, 32, 28]
  Compare 96 and 92
  Swap 96 and 92
  List after swap: [17, 80, 64, 92, 96, -36, 32, 28]
  Compare 96 and -36
  Swap 96 and -36
  List after swap: [17, 80, 64, 92, -36, 96, 32, 28]
  Compare 96 and 32
  Swap 96 and 32
  List after swap: [17, 80, 64, 92, -36, 32, 96, 28]
  Compare 96 and 28
  Swap 96 and 28
  List after swap: [17, 80, 64, 92, -36, 32, 28, 96]

Pass 2:
  Compare 17 and 80
  No swap needed
  Compare 80 and 64
  Swap 80 and 64
  List after swap: [17, 64, 80, 92, -36, 32, 28, 96]
  Compare 80 and 92
  No swap needed
  Compare 92 and -36
  Swap 92 and -36
  List after swap: [17, 64, 80, -36, 92, 32, 28, 96]
  Compare 92 and 32
  Swap 92 and 32
  List after swap: [17, 64, 80, -36, 32, 92, 28, 96]
  Compare 92 and 28
  Swap 92 and 28
  List after swap: [17, 64, 80, -36, 32, 28, 92, 96]

Pass 3:
  Compare 17 and 64
  No swap needed
  Compare 64 and 80
  No swap needed
  Compare 80 and -36
  Swap 80 and -36
  List after swap: [17, 64, -36, 80, 32, 28, 92, 96]
  Compare 80 and 32
  Swap 80 and 32
  List after swap: [17, 64, -36, 32, 80, 28, 92, 96]
  Compare 80 and 28
  Swap 80 and 28
  List after swap: [17, 64, -36, 32, 28, 80, 92, 96]

Pass 4:
  Compare 17 and 64
  No swap needed
  Compare 64 and -36
  Swap 64 and -36
  List after swap: [17, -36, 64, 32, 28, 80, 92, 96]
  Compare 64 and 32
  Swap 64 and 32
  List after swap: [17, -36, 32, 64, 28, 80, 92, 96]
  Compare 64 and 28
  Swap 64 and 28
  List after swap: [17, -36, 32, 28, 64, 80, 92, 96]

Pass 5:
  Compare 17 and -36
  Swap 17 and -36
  List after swap: [-36, 17, 32, 28, 64, 80, 92, 96]
  Compare 17 and 32
  No swap needed
  Compare 32 and 28
  Swap 32 and 28
  List after swap: [-36, 17, 28, 32, 64, 80, 92, 96]

Pass 6:
  Compare -36 and 17
  No swap needed
  Compare 17 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-36, 17, 28, 32, 64, 80, 92, 96]
</think>

<response>-36, 17, 28, 32, 64, 80, 92, 96</response>


input: Sort these integers -77, 68, -12, 24, 27, -73 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-77, 68, -12, 24, 27, -73]

Pass 1:
  Compare -77 and 68
  No swap needed
  Compare 68 and -12
  Swap 68 and -12
  List after swap: [-77, -12, 68, 24, 27, -73]
  Compare 68 and 24
  Swap 68 and 24
  List after swap: [-77, -12, 24, 68, 27, -73]
  Compare 68 and 27
  Swap 68 and 27
  List after swap: [-77, -12, 24, 27, 68, -73]
  Compare 68 and -73
  Swap 68 and -73
  List after swap: [-77, -12, 24, 27, -73, 68]

Pass 2:
  Compare -77 and -12
  No swap needed
  Compare -12 and 24
  No swap needed
  Compare 24 and 27
  No swap needed
  Compare 27 and -73
  Swap 27 and -73
  List after swap: [-77, -12, 24, -73, 27, 68]

Pass 3:
  Compare -77 and -12
  No swap needed
  Compare -12 and 24
  No swap needed
  Compare 24 and -73
  Swap 24 and -73
  List after swap: [-77, -12, -73, 24, 27, 68]

Pass 4:
  Compare -77 and -12
  No swap needed
  Compare -12 and -73
  Swap -12 and -73
  List after swap: [-77, -73, -12, 24, 27, 68]

Pass 5:
  Compare -77 and -73
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -73, -12, 24, 27, 68]
</think>

<response>-77, -73, -12, 24, 27, 68</response>


input: Carry out the bubble sort algorithm on 47, -21, -27, 10, -11, -23 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [47, -21, -27, 10, -11, -23]

Pass 1:
  Compare 47 and -21
  Swap 47 and -21
  List after swap: [-21, 47, -27, 10, -11, -23]
  Compare 47 and -27
  Swap 47 and -27
  List after swap: [-21, -27, 47, 10, -11, -23]
  Compare 47 and 10
  Swap 47 and 10
  List after swap: [-21, -27, 10, 47, -11, -23]
  Compare 47 and -11
  Swap 47 and -11
  List after swap: [-21, -27, 10, -11, 47, -23]
  Compare 47 and -23
  Swap 47 and -23
  List after swap: [-21, -27, 10, -11, -23, 47]

Pass 2:
  Compare -21 and -27
  Swap -21 and -27
  List after swap: [-27, -21, 10, -11, -23, 47]
  Compare -21 and 10
  No swap needed
  Compare 10 and -11
  Swap 10 and -11
  List after swap: [-27, -21, -11, 10, -23, 47]
  Compare 10 and -23
  Swap 10 and -23
  List after swap: [-27, -21, -11, -23, 10, 47]

Pass 3:
  Compare -27 and -21
  No swap needed
  Compare -21 and -11
  No swap needed
  Compare -11 and -23
  Swap -11 and -23
  List after swap: [-27, -21, -23, -11, 10, 47]

Pass 4:
  Compare -27 and -21
  No swap needed
  Compare -21 and -23
  Swap -21 and -23
  List after swap: [-27, -23, -21, -11, 10, 47]

Pass 5:
  Compare -27 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-27, -23, -21, -11, 10, 47]
</think>

<response>-27, -23, -21, -11, 10, 47</response>


input: Sort the list -74, -88, -51, -96 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-74, -88, -51, -96]

Pass 1:
  Compare -74 and -88
  Swap -74 and -88
  List after swap: [-88, -74, -51, -96]
  Compare -74 and -51
  No swap needed
  Compare -51 and -96
  Swap -51 and -96
  List after swap: [-88, -74, -96, -51]

Pass 2:
  Compare -88 and -74
  No swap needed
  Compare -74 and -96
  Swap -74 and -96
  List after swap: [-88, -96, -74, -51]

Pass 3:
  Compare -88 and -96
  Swap -88 and -96
  List after swap: [-96, -88, -74, -51]

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

Final sorted list: [-96, -88, -74, -51]
</think>

<response>-96, -88, -74, -51</response>


input: Sort these integers 37, 57, -55, -2, -93, 11, -82, -72 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [37, 57, -55, -2, -93, 11, -82, -72]

Pass 1:
  Compare 37 and 57
  No swap needed
  Compare 57 and -55
  Swap 57 and -55
  List after swap: [37, -55, 57, -2, -93, 11, -82, -72]
  Compare 57 and -2
  Swap 57 and -2
  List after swap: [37, -55, -2, 57, -93, 11, -82, -72]
  Compare 57 and -93
  Swap 57 and -93
  List after swap: [37, -55, -2, -93, 57, 11, -82, -72]
  Compare 57 and 11
  Swap 57 and 11
  List after swap: [37, -55, -2, -93, 11, 57, -82, -72]
  Compare 57 and -82
  Swap 57 and -82
  List after swap: [37, -55, -2, -93, 11, -82, 57, -72]
  Compare 57 and -72
  Swap 57 and -72
  List after swap: [37, -55, -2, -93, 11, -82, -72, 57]

Pass 2:
  Compare 37 and -55
  Swap 37 and -55
  List after swap: [-55, 37, -2, -93, 11, -82, -72, 57]
  Compare 37 and -2
  Swap 37 and -2
  List after swap: [-55, -2, 37, -93, 11, -82, -72, 57]
  Compare 37 and -93
  Swap 37 and -93
  List after swap: [-55, -2, -93, 37, 11, -82, -72, 57]
  Compare 37 and 11
  Swap 37 and 11
  List after swap: [-55, -2, -93, 11, 37, -82, -72, 57]
  Compare 37 and -82
  Swap 37 and -82
  List after swap: [-55, -2, -93, 11, -82, 37, -72, 57]
  Compare 37 and -72
  Swap 37 and -72
  List after swap: [-55, -2, -93, 11, -82, -72, 37, 57]

Pass 3:
  Compare -55 and -2
  No swap needed
  Compare -2 and -93
  Swap -2 and -93
  List after swap: [-55, -93, -2, 11, -82, -72, 37, 57]
  Compare -2 and 11
  No swap needed
  Compare 11 and -82
  Swap 11 and -82
  List after swap: [-55, -93, -2, -82, 11, -72, 37, 57]
  Compare 11 and -72
  Swap 11 and -72
  List after swap: [-55, -93, -2, -82, -72, 11, 37, 57]

Pass 4:
  Compare -55 and -93
  Swap -55 and -93
  List after swap: [-93, -55, -2, -82, -72, 11, 37, 57]
  Compare -55 and -2
  No swap needed
  Compare -2 and -82
  Swap -2 and -82
  List after swap: [-93, -55, -82, -2, -72, 11, 37, 57]
  Compare -2 and -72
  Swap -2 and -72
  List after swap: [-93, -55, -82, -72, -2, 11, 37, 57]

Pass 5:
  Compare -93 and -55
  No swap needed
  Compare -55 and -82
  Swap -55 and -82
  List after swap: [-93, -82, -55, -72, -2, 11, 37, 57]
  Compare -55 and -72
  Swap -55 and -72
  List after swap: [-93, -82, -72, -55, -2, 11, 37, 57]

Pass 6:
  Compare -93 and -82
  No swap needed
  Compare -82 and -72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -82, -72, -55, -2, 11, 37, 57]
</think>

<response>-93, -82, -72, -55, -2, 11, 37, 57</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 43, -66, 59, 16.

output:
<think>
Initial list: [43, -66, 59, 16]

Pass 1:
  Compare 43 and -66
  Swap 43 and -66
  List after swap: [-66, 43, 59, 16]
  Compare 43 and 59
  No swap needed
  Compare 59 and 16
  Swap 59 and 16
  List after swap: [-66, 43, 16, 59]

Pass 2:
  Compare -66 and 43
  No swap needed
  Compare 43 and 16
  Swap 43 and 16
  List after swap: [-66, 16, 43, 59]

Pass 3:
  Compare -66 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, 16, 43, 59]
</think>

<response>-66, 16, 43, 59</response>


input: Use the bubble sort technique to reorder 33, -32, 43 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [33, -32, 43]

Pass 1:
  Compare 33 and -32
  Swap 33 and -32
  List after swap: [-32, 33, 43]
  Compare 33 and 43
  No swap needed

Pass 2:
  Compare -32 and 33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-32, 33, 43]
</think>

<response>-32, 33, 43</response>


input: Carry out the bubble sort algorithm on -73, 60, -44, -42, -90, -93, 8, -2, 63, -43 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-73, 60, -44, -42, -90, -93, 8, -2, 63, -43]

Pass 1:
  Compare -73 and 60
  No swap needed
  Compare 60 and -44
  Swap 60 and -44
  List after swap: [-73, -44, 60, -42, -90, -93, 8, -2, 63, -43]
  Compare 60 and -42
  Swap 60 and -42
  List after swap: [-73, -44, -42, 60, -90, -93, 8, -2, 63, -43]
  Compare 60 and -90
  Swap 60 and -90
  List after swap: [-73, -44, -42, -90, 60, -93, 8, -2, 63, -43]
  Compare 60 and -93
  Swap 60 and -93
  List after swap: [-73, -44, -42, -90, -93, 60, 8, -2, 63, -43]
  Compare 60 and 8
  Swap 60 and 8
  List after swap: [-73, -44, -42, -90, -93, 8, 60, -2, 63, -43]
  Compare 60 and -2
  Swap 60 and -2
  List after swap: [-73, -44, -42, -90, -93, 8, -2, 60, 63, -43]
  Compare 60 and 63
  No swap needed
  Compare 63 and -43
  Swap 63 and -43
  List after swap: [-73, -44, -42, -90, -93, 8, -2, 60, -43, 63]

Pass 2:
  Compare -73 and -44
  No swap needed
  Compare -44 and -42
  No swap needed
  Compare -42 and -90
  Swap -42 and -90
  List after swap: [-73, -44, -90, -42, -93, 8, -2, 60, -43, 63]
  Compare -42 and -93
  Swap -42 and -93
  List after swap: [-73, -44, -90, -93, -42, 8, -2, 60, -43, 63]
  Compare -42 and 8
  No swap needed
  Compare 8 and -2
  Swap 8 and -2
  List after swap: [-73, -44, -90, -93, -42, -2, 8, 60, -43, 63]
  Compare 8 and 60
  No swap needed
  Compare 60 and -43
  Swap 60 and -43
  List after swap: [-73, -44, -90, -93, -42, -2, 8, -43, 60, 63]

Pass 3:
  Compare -73 and -44
  No swap needed
  Compare -44 and -90
  Swap -44 and -90
  List after swap: [-73, -90, -44, -93, -42, -2, 8, -43, 60, 63]
  Compare -44 and -93
  Swap -44 and -93
  List after swap: [-73, -90, -93, -44, -42, -2, 8, -43, 60, 63]
  Compare -44 and -42
  No swap needed
  Compare -42 and -2
  No swap needed
  Compare -2 and 8
  No swap needed
  Compare 8 and -43
  Swap 8 and -43
  List after swap: [-73, -90, -93, -44, -42, -2, -43, 8, 60, 63]

Pass 4:
  Compare -73 and -90
  Swap -73 and -90
  List after swap: [-90, -73, -93, -44, -42, -2, -43, 8, 60, 63]
  Compare -73 and -93
  Swap -73 and -93
  List after swap: [-90, -93, -73, -44, -42, -2, -43, 8, 60, 63]
  Compare -73 and -44
  No swap needed
  Compare -44 and -42
  No swap needed
  Compare -42 and -2
  No swap needed
  Compare -2 and -43
  Swap -2 and -43
  List after swap: [-90, -93, -73, -44, -42, -43, -2, 8, 60, 63]

Pass 5:
  Compare -90 and -93
  Swap -90 and -93
  List after swap: [-93, -90, -73, -44, -42, -43, -2, 8, 60, 63]
  Compare -90 and -73
  No swap needed
  Compare -73 and -44
  No swap needed
  Compare -44 and -42
  No swap needed
  Compare -42 and -43
  Swap -42 and -43
  List after swap: [-93, -90, -73, -44, -43, -42, -2, 8, 60, 63]

Pass 6:
  Compare -93 and -90
  No swap needed
  Compare -90 and -73
  No swap needed
  Compare -73 and -44
  No swap needed
  Compare -44 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -90, -73, -44, -43, -42, -2, 8, 60, 63]
</think>

<response>-93, -90, -73, -44, -43, -42, -2, 8, 60, 63</response>


input: Demonstrate how bubble sort orders the integers 90, -53 in ascending sequence, showing all steps.

output:
<think>
Initial list: [90, -53]

Pass 1:
  Compare 90 and -53
  Swap 90 and -53
  List after swap: [-53, 90]

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

Final sorted list: [-53, 90]
</think>

<response>-53, 90</response>


input: Using the bubble sort method, sort 41, 33, 15, -27, 28, -10 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [41, 33, 15, -27, 28, -10]

Pass 1:
  Compare 41 and 33
  Swap 41 and 33
  List after swap: [33, 41, 15, -27, 28, -10]
  Compare 41 and 15
  Swap 41 and 15
  List after swap: [33, 15, 41, -27, 28, -10]
  Compare 41 and -27
  Swap 41 and -27
  List after swap: [33, 15, -27, 41, 28, -10]
  Compare 41 and 28
  Swap 41 and 28
  List after swap: [33, 15, -27, 28, 41, -10]
  Compare 41 and -10
  Swap 41 and -10
  List after swap: [33, 15, -27, 28, -10, 41]

Pass 2:
  Compare 33 and 15
  Swap 33 and 15
  List after swap: [15, 33, -27, 28, -10, 41]
  Compare 33 and -27
  Swap 33 and -27
  List after swap: [15, -27, 33, 28, -10, 41]
  Compare 33 and 28
  Swap 33 and 28
  List after swap: [15, -27, 28, 33, -10, 41]
  Compare 33 and -10
  Swap 33 and -10
  List after swap: [15, -27, 28, -10, 33, 41]

Pass 3:
  Compare 15 and -27
  Swap 15 and -27
  List after swap: [-27, 15, 28, -10, 33, 41]
  Compare 15 and 28
  No swap needed
  Compare 28 and -10
  Swap 28 and -10
  List after swap: [-27, 15, -10, 28, 33, 41]

Pass 4:
  Compare -27 and 15
  No swap needed
  Compare 15 and -10
  Swap 15 and -10
  List after swap: [-27, -10, 15, 28, 33, 41]

Pass 5:
  Compare -27 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-27, -10, 15, 28, 33, 41]
</think>

<response>-27, -10, 15, 28, 33, 41</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 67, -78, 33, 59.

output:
<think>
Initial list: [67, -78, 33, 59]

Pass 1:
  Compare 67 and -78
  Swap 67 and -78
  List after swap: [-78, 67, 33, 59]
  Compare 67 and 33
  Swap 67 and 33
  List after swap: [-78, 33, 67, 59]
  Compare 67 and 59
  Swap 67 and 59
  List after swap: [-78, 33, 59, 67]

Pass 2:
  Compare -78 and 33
  No swap needed
  Compare 33 and 59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, 33, 59, 67]
</think>

<response>-78, 33, 59, 67</response>


input: Sort the list -47, 84 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-47, 84]

Pass 1:
  Compare -47 and 84
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-47, 84]
</think>

<response>-47, 84</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 63, -38, 82, 39, 51, 73, -11.

output:
<think>
Initial list: [63, -38, 82, 39, 51, 73, -11]

Pass 1:
  Compare 63 and -38
  Swap 63 and -38
  List after swap: [-38, 63, 82, 39, 51, 73, -11]
  Compare 63 and 82
  No swap needed
  Compare 82 and 39
  Swap 82 and 39
  List after swap: [-38, 63, 39, 82, 51, 73, -11]
  Compare 82 and 51
  Swap 82 and 51
  List after swap: [-38, 63, 39, 51, 82, 73, -11]
  Compare 82 and 73
  Swap 82 and 73
  List after swap: [-38, 63, 39, 51, 73, 82, -11]
  Compare 82 and -11
  Swap 82 and -11
  List after swap: [-38, 63, 39, 51, 73, -11, 82]

Pass 2:
  Compare -38 and 63
  No swap needed
  Compare 63 and 39
  Swap 63 and 39
  List after swap: [-38, 39, 63, 51, 73, -11, 82]
  Compare 63 and 51
  Swap 63 and 51
  List after swap: [-38, 39, 51, 63, 73, -11, 82]
  Compare 63 and 73
  No swap needed
  Compare 73 and -11
  Swap 73 and -11
  List after swap: [-38, 39, 51, 63, -11, 73, 82]

Pass 3:
  Compare -38 and 39
  No swap needed
  Compare 39 and 51
  No swap needed
  Compare 51 and 63
  No swap needed
  Compare 63 and -11
  Swap 63 and -11
  List after swap: [-38, 39, 51, -11, 63, 73, 82]

Pass 4:
  Compare -38 and 39
  No swap needed
  Compare 39 and 51
  No swap needed
  Compare 51 and -11
  Swap 51 and -11
  List after swap: [-38, 39, -11, 51, 63, 73, 82]

Pass 5:
  Compare -38 and 39
  No swap needed
  Compare 39 and -11
  Swap 39 and -11
  List after swap: [-38, -11, 39, 51, 63, 73, 82]

Pass 6:
  Compare -38 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-38, -11, 39, 51, 63, 73, 82]
</think>

<response>-38, -11, 39, 51, 63, 73, 82</response>


input: Sort the list -32, 67 from smallest to largest using bubble sort, and show every stage of the process.

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

Pass 1:
  Compare -32 and 67
  No swap needed
  No swaps in this pass, list is sorted.

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

<response>-32, 67</response>


input: Sort these integers 7, -25, -52, 21, 71, 43, -64, -54, -73, 18 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [7, -25, -52, 21, 71, 43, -64, -54, -73, 18]

Pass 1:
  Compare 7 and -25
  Swap 7 and -25
  List after swap: [-25, 7, -52, 21, 71, 43, -64, -54, -73, 18]
  Compare 7 and -52
  Swap 7 and -52
  List after swap: [-25, -52, 7, 21, 71, 43, -64, -54, -73, 18]
  Compare 7 and 21
  No swap needed
  Compare 21 and 71
  No swap needed
  Compare 71 and 43
  Swap 71 and 43
  List after swap: [-25, -52, 7, 21, 43, 71, -64, -54, -73, 18]
  Compare 71 and -64
  Swap 71 and -64
  List after swap: [-25, -52, 7, 21, 43, -64, 71, -54, -73, 18]
  Compare 71 and -54
  Swap 71 and -54
  List after swap: [-25, -52, 7, 21, 43, -64, -54, 71, -73, 18]
  Compare 71 and -73
  Swap 71 and -73
  List after swap: [-25, -52, 7, 21, 43, -64, -54, -73, 71, 18]
  Compare 71 and 18
  Swap 71 and 18
  List after swap: [-25, -52, 7, 21, 43, -64, -54, -73, 18, 71]

Pass 2:
  Compare -25 and -52
  Swap -25 and -52
  List after swap: [-52, -25, 7, 21, 43, -64, -54, -73, 18, 71]
  Compare -25 and 7
  No swap needed
  Compare 7 and 21
  No swap needed
  Compare 21 and 43
  No swap needed
  Compare 43 and -64
  Swap 43 and -64
  List after swap: [-52, -25, 7, 21, -64, 43, -54, -73, 18, 71]
  Compare 43 and -54
  Swap 43 and -54
  List after swap: [-52, -25, 7, 21, -64, -54, 43, -73, 18, 71]
  Compare 43 and -73
  Swap 43 and -73
  List after swap: [-52, -25, 7, 21, -64, -54, -73, 43, 18, 71]
  Compare 43 and 18
  Swap 43 and 18
  List after swap: [-52, -25, 7, 21, -64, -54, -73, 18, 43, 71]

Pass 3:
  Compare -52 and -25
  No swap needed
  Compare -25 and 7
  No swap needed
  Compare 7 and 21
  No swap needed
  Compare 21 and -64
  Swap 21 and -64
  List after swap: [-52, -25, 7, -64, 21, -54, -73, 18, 43, 71]
  Compare 21 and -54
  Swap 21 and -54
  List after swap: [-52, -25, 7, -64, -54, 21, -73, 18, 43, 71]
  Compare 21 and -73
  Swap 21 and -73
  List after swap: [-52, -25, 7, -64, -54, -73, 21, 18, 43, 71]
  Compare 21 and 18
  Swap 21 and 18
  List after swap: [-52, -25, 7, -64, -54, -73, 18, 21, 43, 71]

Pass 4:
  Compare -52 and -25
  No swap needed
  Compare -25 and 7
  No swap needed
  Compare 7 and -64
  Swap 7 and -64
  List after swap: [-52, -25, -64, 7, -54, -73, 18, 21, 43, 71]
  Compare 7 and -54
  Swap 7 and -54
  List after swap: [-52, -25, -64, -54, 7, -73, 18, 21, 43, 71]
  Compare 7 and -73
  Swap 7 and -73
  List after swap: [-52, -25, -64, -54, -73, 7, 18, 21, 43, 71]
  Compare 7 and 18
  No swap needed

Pass 5:
  Compare -52 and -25
  No swap needed
  Compare -25 and -64
  Swap -25 and -64
  List after swap: [-52, -64, -25, -54, -73, 7, 18, 21, 43, 71]
  Compare -25 and -54
  Swap -25 and -54
  List after swap: [-52, -64, -54, -25, -73, 7, 18, 21, 43, 71]
  Compare -25 and -73
  Swap -25 and -73
  List after swap: [-52, -64, -54, -73, -25, 7, 18, 21, 43, 71]
  Compare -25 and 7
  No swap needed

Pass 6:
  Compare -52 and -64
  Swap -52 and -64
  List after swap: [-64, -52, -54, -73, -25, 7, 18, 21, 43, 71]
  Compare -52 and -54
  Swap -52 and -54
  List after swap: [-64, -54, -52, -73, -25, 7, 18, 21, 43, 71]
  Compare -52 and -73
  Swap -52 and -73
  List after swap: [-64, -54, -73, -52, -25, 7, 18, 21, 43, 71]
  Compare -52 and -25
  No swap needed

Pass 7:
  Compare -64 and -54
  No swap needed
  Compare -54 and -73
  Swap -54 and -73
  List after swap: [-64, -73, -54, -52, -25, 7, 18, 21, 43, 71]
  Compare -54 and -52
  No swap needed

Pass 8:
  Compare -64 and -73
  Swap -64 and -73
  List after swap: [-73, -64, -54, -52, -25, 7, 18, 21, 43, 71]
  Compare -64 and -54
  No swap needed

Pass 9:
  Compare -73 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -64, -54, -52, -25, 7, 18, 21, 43, 71]
</think>

<response>-73, -64, -54, -52, -25, 7, 18, 21, 43, 71</response>


input: Perform a bubble sort on the integers -83, 33, -42, -57, 62, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-83, 33, -42, -57, 62]

Pass 1:
  Compare -83 and 33
  No swap needed
  Compare 33 and -42
  Swap 33 and -42
  List after swap: [-83, -42, 33, -57, 62]
  Compare 33 and -57
  Swap 33 and -57
  List after swap: [-83, -42, -57, 33, 62]
  Compare 33 and 62
  No swap needed

Pass 2:
  Compare -83 and -42
  No swap needed
  Compare -42 and -57
  Swap -42 and -57
  List after swap: [-83, -57, -42, 33, 62]
  Compare -42 and 33
  No swap needed

Pass 3:
  Compare -83 and -57
  No swap needed
  Compare -57 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -57, -42, 33, 62]
</think>

<response>-83, -57, -42, 33, 62</response>


input: Perform a bubble sort on the integers 14, -60, 40, 97, 75, 43, -36, -83, 72, 93, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [14, -60, 40, 97, 75, 43, -36, -83, 72, 93]

Pass 1:
  Compare 14 and -60
  Swap 14 and -60
  List after swap: [-60, 14, 40, 97, 75, 43, -36, -83, 72, 93]
  Compare 14 and 40
  No swap needed
  Compare 40 and 97
  No swap needed
  Compare 97 and 75
  Swap 97 and 75
  List after swap: [-60, 14, 40, 75, 97, 43, -36, -83, 72, 93]
  Compare 97 and 43
  Swap 97 and 43
  List after swap: [-60, 14, 40, 75, 43, 97, -36, -83, 72, 93]
  Compare 97 and -36
  Swap 97 and -36
  List after swap: [-60, 14, 40, 75, 43, -36, 97, -83, 72, 93]
  Compare 97 and -83
  Swap 97 and -83
  List after swap: [-60, 14, 40, 75, 43, -36, -83, 97, 72, 93]
  Compare 97 and 72
  Swap 97 and 72
  List after swap: [-60, 14, 40, 75, 43, -36, -83, 72, 97, 93]
  Compare 97 and 93
  Swap 97 and 93
  List after swap: [-60, 14, 40, 75, 43, -36, -83, 72, 93, 97]

Pass 2:
  Compare -60 and 14
  No swap needed
  Compare 14 and 40
  No swap needed
  Compare 40 and 75
  No swap needed
  Compare 75 and 43
  Swap 75 and 43
  List after swap: [-60, 14, 40, 43, 75, -36, -83, 72, 93, 97]
  Compare 75 and -36
  Swap 75 and -36
  List after swap: [-60, 14, 40, 43, -36, 75, -83, 72, 93, 97]
  Compare 75 and -83
  Swap 75 and -83
  List after swap: [-60, 14, 40, 43, -36, -83, 75, 72, 93, 97]
  Compare 75 and 72
  Swap 75 and 72
  List after swap: [-60, 14, 40, 43, -36, -83, 72, 75, 93, 97]
  Compare 75 and 93
  No swap needed

Pass 3:
  Compare -60 and 14
  No swap needed
  Compare 14 and 40
  No swap needed
  Compare 40 and 43
  No swap needed
  Compare 43 and -36
  Swap 43 and -36
  List after swap: [-60, 14, 40, -36, 43, -83, 72, 75, 93, 97]
  Compare 43 and -83
  Swap 43 and -83
  List after swap: [-60, 14, 40, -36, -83, 43, 72, 75, 93, 97]
  Compare 43 and 72
  No swap needed
  Compare 72 and 75
  No swap needed

Pass 4:
  Compare -60 and 14
  No swap needed
  Compare 14 and 40
  No swap needed
  Compare 40 and -36
  Swap 40 and -36
  List after swap: [-60, 14, -36, 40, -83, 43, 72, 75, 93, 97]
  Compare 40 and -83
  Swap 40 and -83
  List after swap: [-60, 14, -36, -83, 40, 43, 72, 75, 93, 97]
  Compare 40 and 43
  No swap needed
  Compare 43 and 72
  No swap needed

Pass 5:
  Compare -60 and 14
  No swap needed
  Compare 14 and -36
  Swap 14 and -36
  List after swap: [-60, -36, 14, -83, 40, 43, 72, 75, 93, 97]
  Compare 14 and -83
  Swap 14 and -83
  List after swap: [-60, -36, -83, 14, 40, 43, 72, 75, 93, 97]
  Compare 14 and 40
  No swap needed
  Compare 40 and 43
  No swap needed

Pass 6:
  Compare -60 and -36
  No swap needed
  Compare -36 and -83
  Swap -36 and -83
  List after swap: [-60, -83, -36, 14, 40, 43, 72, 75, 93, 97]
  Compare -36 and 14
  No swap needed
  Compare 14 and 40
  No swap needed

Pass 7:
  Compare -60 and -83
  Swap -60 and -83
  List after swap: [-83, -60, -36, 14, 40, 43, 72, 75, 93, 97]
  Compare -60 and -36
  No swap needed
  Compare -36 and 14
  No swap needed

Pass 8:
  Compare -83 and -60
  No swap needed
  Compare -60 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -60, -36, 14, 40, 43, 72, 75, 93, 97]
</think>

<response>-83, -60, -36, 14, 40, 43, 72, 75, 93, 97</response>


input: Execute bubble sort to sort -94, 81, 92, -48, 16, -86, -26, -43 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-94, 81, 92, -48, 16, -86, -26, -43]

Pass 1:
  Compare -94 and 81
  No swap needed
  Compare 81 and 92
  No swap needed
  Compare 92 and -48
  Swap 92 and -48
  List after swap: [-94, 81, -48, 92, 16, -86, -26, -43]
  Compare 92 and 16
  Swap 92 and 16
  List after swap: [-94, 81, -48, 16, 92, -86, -26, -43]
  Compare 92 and -86
  Swap 92 and -86
  List after swap: [-94, 81, -48, 16, -86, 92, -26, -43]
  Compare 92 and -26
  Swap 92 and -26
  List after swap: [-94, 81, -48, 16, -86, -26, 92, -43]
  Compare 92 and -43
  Swap 92 and -43
  List after swap: [-94, 81, -48, 16, -86, -26, -43, 92]

Pass 2:
  Compare -94 and 81
  No swap needed
  Compare 81 and -48
  Swap 81 and -48
  List after swap: [-94, -48, 81, 16, -86, -26, -43, 92]
  Compare 81 and 16
  Swap 81 and 16
  List after swap: [-94, -48, 16, 81, -86, -26, -43, 92]
  Compare 81 and -86
  Swap 81 and -86
  List after swap: [-94, -48, 16, -86, 81, -26, -43, 92]
  Compare 81 and -26
  Swap 81 and -26
  List after swap: [-94, -48, 16, -86, -26, 81, -43, 92]
  Compare 81 and -43
  Swap 81 and -43
  List after swap: [-94, -48, 16, -86, -26, -43, 81, 92]

Pass 3:
  Compare -94 and -48
  No swap needed
  Compare -48 and 16
  No swap needed
  Compare 16 and -86
  Swap 16 and -86
  List after swap: [-94, -48, -86, 16, -26, -43, 81, 92]
  Compare 16 and -26
  Swap 16 and -26
  List after swap: [-94, -48, -86, -26, 16, -43, 81, 92]
  Compare 16 and -43
  Swap 16 and -43
  List after swap: [-94, -48, -86, -26, -43, 16, 81, 92]

Pass 4:
  Compare -94 and -48
  No swap needed
  Compare -48 and -86
  Swap -48 and -86
  List after swap: [-94, -86, -48, -26, -43, 16, 81, 92]
  Compare -48 and -26
  No swap needed
  Compare -26 and -43
  Swap -26 and -43
  List after swap: [-94, -86, -48, -43, -26, 16, 81, 92]

Pass 5:
  Compare -94 and -86
  No swap needed
  Compare -86 and -48
  No swap needed
  Compare -48 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -86, -48, -43, -26, 16, 81, 92]
</think>

<response>-94, -86, -48, -43, -26, 16, 81, 92</response>


input: Implement bubble sort on -71, -30, 74, 39, -27, 9, -35 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-71, -30, 74, 39, -27, 9, -35]

Pass 1:
  Compare -71 and -30
  No swap needed
  Compare -30 and 74
  No swap needed
  Compare 74 and 39
  Swap 74 and 39
  List after swap: [-71, -30, 39, 74, -27, 9, -35]
  Compare 74 and -27
  Swap 74 and -27
  List after swap: [-71, -30, 39, -27, 74, 9, -35]
  Compare 74 and 9
  Swap 74 and 9
  List after swap: [-71, -30, 39, -27, 9, 74, -35]
  Compare 74 and -35
  Swap 74 and -35
  List after swap: [-71, -30, 39, -27, 9, -35, 74]

Pass 2:
  Compare -71 and -30
  No swap needed
  Compare -30 and 39
  No swap needed
  Compare 39 and -27
  Swap 39 and -27
  List after swap: [-71, -30, -27, 39, 9, -35, 74]
  Compare 39 and 9
  Swap 39 and 9
  List after swap: [-71, -30, -27, 9, 39, -35, 74]
  Compare 39 and -35
  Swap 39 and -35
  List after swap: [-71, -30, -27, 9, -35, 39, 74]

Pass 3:
  Compare -71 and -30
  No swap needed
  Compare -30 and -27
  No swap needed
  Compare -27 and 9
  No swap needed
  Compare 9 and -35
  Swap 9 and -35
  List after swap: [-71, -30, -27, -35, 9, 39, 74]

Pass 4:
  Compare -71 and -30
  No swap needed
  Compare -30 and -27
  No swap needed
  Compare -27 and -35
  Swap -27 and -35
  List after swap: [-71, -30, -35, -27, 9, 39, 74]

Pass 5:
  Compare -71 and -30
  No swap needed
  Compare -30 and -35
  Swap -30 and -35
  List after swap: [-71, -35, -30, -27, 9, 39, 74]

Pass 6:
  Compare -71 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -35, -30, -27, 9, 39, 74]
</think>

<response>-71, -35, -30, -27, 9, 39, 74</response>


input: Arrange the numbers -45, 66, -29, 70, 77, -34, 14 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-45, 66, -29, 70, 77, -34, 14]

Pass 1:
  Compare -45 and 66
  No swap needed
  Compare 66 and -29
  Swap 66 and -29
  List after swap: [-45, -29, 66, 70, 77, -34, 14]
  Compare 66 and 70
  No swap needed
  Compare 70 and 77
  No swap needed
  Compare 77 and -34
  Swap 77 and -34
  List after swap: [-45, -29, 66, 70, -34, 77, 14]
  Compare 77 and 14
  Swap 77 and 14
  List after swap: [-45, -29, 66, 70, -34, 14, 77]

Pass 2:
  Compare -45 and -29
  No swap needed
  Compare -29 and 66
  No swap needed
  Compare 66 and 70
  No swap needed
  Compare 70 and -34
  Swap 70 and -34
  List after swap: [-45, -29, 66, -34, 70, 14, 77]
  Compare 70 and 14
  Swap 70 and 14
  List after swap: [-45, -29, 66, -34, 14, 70, 77]

Pass 3:
  Compare -45 and -29
  No swap needed
  Compare -29 and 66
  No swap needed
  Compare 66 and -34
  Swap 66 and -34
  List after swap: [-45, -29, -34, 66, 14, 70, 77]
  Compare 66 and 14
  Swap 66 and 14
  List after swap: [-45, -29, -34, 14, 66, 70, 77]

Pass 4:
  Compare -45 and -29
  No swap needed
  Compare -29 and -34
  Swap -29 and -34
  List after swap: [-45, -34, -29, 14, 66, 70, 77]
  Compare -29 and 14
  No swap needed

Pass 5:
  Compare -45 and -34
  No swap needed
  Compare -34 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-45, -34, -29, 14, 66, 70, 77]
</think>

<response>-45, -34, -29, 14, 66, 70, 77</response>


input: Implement bubble sort on -2, 57, 79, 84, 22 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-2, 57, 79, 84, 22]

Pass 1:
  Compare -2 and 57
  No swap needed
  Compare 57 and 79
  No swap needed
  Compare 79 and 84
  No swap needed
  Compare 84 and 22
  Swap 84 and 22
  List after swap: [-2, 57, 79, 22, 84]

Pass 2:
  Compare -2 and 57
  No swap needed
  Compare 57 and 79
  No swap needed
  Compare 79 and 22
  Swap 79 and 22
  List after swap: [-2, 57, 22, 79, 84]

Pass 3:
  Compare -2 and 57
  No swap needed
  Compare 57 and 22
  Swap 57 and 22
  List after swap: [-2, 22, 57, 79, 84]

Pass 4:
  Compare -2 and 22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-2, 22, 57, 79, 84]
</think>

<response>-2, 22, 57, 79, 84</response>


input: Perform a bubble sort on the integers 97, -33, -34, 6, -44, 33, 65, -27, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [97, -33, -34, 6, -44, 33, 65, -27]

Pass 1:
  Compare 97 and -33
  Swap 97 and -33
  List after swap: [-33, 97, -34, 6, -44, 33, 65, -27]
  Compare 97 and -34
  Swap 97 and -34
  List after swap: [-33, -34, 97, 6, -44, 33, 65, -27]
  Compare 97 and 6
  Swap 97 and 6
  List after swap: [-33, -34, 6, 97, -44, 33, 65, -27]
  Compare 97 and -44
  Swap 97 and -44
  List after swap: [-33, -34, 6, -44, 97, 33, 65, -27]
  Compare 97 and 33
  Swap 97 and 33
  List after swap: [-33, -34, 6, -44, 33, 97, 65, -27]
  Compare 97 and 65
  Swap 97 and 65
  List after swap: [-33, -34, 6, -44, 33, 65, 97, -27]
  Compare 97 and -27
  Swap 97 and -27
  List after swap: [-33, -34, 6, -44, 33, 65, -27, 97]

Pass 2:
  Compare -33 and -34
  Swap -33 and -34
  List after swap: [-34, -33, 6, -44, 33, 65, -27, 97]
  Compare -33 and 6
  No swap needed
  Compare 6 and -44
  Swap 6 and -44
  List after swap: [-34, -33, -44, 6, 33, 65, -27, 97]
  Compare 6 and 33
  No swap needed
  Compare 33 and 65
  No swap needed
  Compare 65 and -27
  Swap 65 and -27
  List after swap: [-34, -33, -44, 6, 33, -27, 65, 97]

Pass 3:
  Compare -34 and -33
  No swap needed
  Compare -33 and -44
  Swap -33 and -44
  List after swap: [-34, -44, -33, 6, 33, -27, 65, 97]
  Compare -33 and 6
  No swap needed
  Compare 6 and 33
  No swap needed
  Compare 33 and -27
  Swap 33 and -27
  List after swap: [-34, -44, -33, 6, -27, 33, 65, 97]

Pass 4:
  Compare -34 and -44
  Swap -34 and -44
  List after swap: [-44, -34, -33, 6, -27, 33, 65, 97]
  Compare -34 and -33
  No swap needed
  Compare -33 and 6
  No swap needed
  Compare 6 and -27
  Swap 6 and -27
  List after swap: [-44, -34, -33, -27, 6, 33, 65, 97]

Pass 5:
  Compare -44 and -34
  No swap needed
  Compare -34 and -33
  No swap needed
  Compare -33 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-44, -34, -33, -27, 6, 33, 65, 97]
</think>

<response>-44, -34, -33, -27, 6, 33, 65, 97</response>


input: Use the bubble sort technique to reorder 82, -73, 93, -58, -61, -12, -7, -15, 23 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [82, -73, 93, -58, -61, -12, -7, -15, 23]

Pass 1:
  Compare 82 and -73
  Swap 82 and -73
  List after swap: [-73, 82, 93, -58, -61, -12, -7, -15, 23]
  Compare 82 and 93
  No swap needed
  Compare 93 and -58
  Swap 93 and -58
  List after swap: [-73, 82, -58, 93, -61, -12, -7, -15, 23]
  Compare 93 and -61
  Swap 93 and -61
  List after swap: [-73, 82, -58, -61, 93, -12, -7, -15, 23]
  Compare 93 and -12
  Swap 93 and -12
  List after swap: [-73, 82, -58, -61, -12, 93, -7, -15, 23]
  Compare 93 and -7
  Swap 93 and -7
  List after swap: [-73, 82, -58, -61, -12, -7, 93, -15, 23]
  Compare 93 and -15
  Swap 93 and -15
  List after swap: [-73, 82, -58, -61, -12, -7, -15, 93, 23]
  Compare 93 and 23
  Swap 93 and 23
  List after swap: [-73, 82, -58, -61, -12, -7, -15, 23, 93]

Pass 2:
  Compare -73 and 82
  No swap needed
  Compare 82 and -58
  Swap 82 and -58
  List after swap: [-73, -58, 82, -61, -12, -7, -15, 23, 93]
  Compare 82 and -61
  Swap 82 and -61
  List after swap: [-73, -58, -61, 82, -12, -7, -15, 23, 93]
  Compare 82 and -12
  Swap 82 and -12
  List after swap: [-73, -58, -61, -12, 82, -7, -15, 23, 93]
  Compare 82 and -7
  Swap 82 and -7
  List after swap: [-73, -58, -61, -12, -7, 82, -15, 23, 93]
  Compare 82 and -15
  Swap 82 and -15
  List after swap: [-73, -58, -61, -12, -7, -15, 82, 23, 93]
  Compare 82 and 23
  Swap 82 and 23
  List after swap: [-73, -58, -61, -12, -7, -15, 23, 82, 93]

Pass 3:
  Compare -73 and -58
  No swap needed
  Compare -58 and -61
  Swap -58 and -61
  List after swap: [-73, -61, -58, -12, -7, -15, 23, 82, 93]
  Compare -58 and -12
  No swap needed
  Compare -12 and -7
  No swap needed
  Compare -7 and -15
  Swap -7 and -15
  List after swap: [-73, -61, -58, -12, -15, -7, 23, 82, 93]
  Compare -7 and 23
  No swap needed

Pass 4:
  Compare -73 and -61
  No swap needed
  Compare -61 and -58
  No swap needed
  Compare -58 and -12
  No swap needed
  Compare -12 and -15
  Swap -12 and -15
  List after swap: [-73, -61, -58, -15, -12, -7, 23, 82, 93]
  Compare -12 and -7
  No swap needed

Pass 5:
  Compare -73 and -61
  No swap needed
  Compare -61 and -58
  No swap needed
  Compare -58 and -15
  No swap needed
  Compare -15 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -61, -58, -15, -12, -7, 23, 82, 93]
</think>

<response>-73, -61, -58, -15, -12, -7, 23, 82, 93</response>


input: Using the bubble sort method, sort -99, -14 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-99, -14]

Pass 1:
  Compare -99 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -14]
</think>

<response>-99, -14</response>