input: Using the bubble sort method, sort -82, 40, 95, -74, 65, 60, -95, 8 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-82, 40, 95, -74, 65, 60, -95, 8]

Pass 1:
  Compare -82 and 40
  No swap needed
  Compare 40 and 95
  No swap needed
  Compare 95 and -74
  Swap 95 and -74
  List after swap: [-82, 40, -74, 95, 65, 60, -95, 8]
  Compare 95 and 65
  Swap 95 and 65
  List after swap: [-82, 40, -74, 65, 95, 60, -95, 8]
  Compare 95 and 60
  Swap 95 and 60
  List after swap: [-82, 40, -74, 65, 60, 95, -95, 8]
  Compare 95 and -95
  Swap 95 and -95
  List after swap: [-82, 40, -74, 65, 60, -95, 95, 8]
  Compare 95 and 8
  Swap 95 and 8
  List after swap: [-82, 40, -74, 65, 60, -95, 8, 95]

Pass 2:
  Compare -82 and 40
  No swap needed
  Compare 40 and -74
  Swap 40 and -74
  List after swap: [-82, -74, 40, 65, 60, -95, 8, 95]
  Compare 40 and 65
  No swap needed
  Compare 65 and 60
  Swap 65 and 60
  List after swap: [-82, -74, 40, 60, 65, -95, 8, 95]
  Compare 65 and -95
  Swap 65 and -95
  List after swap: [-82, -74, 40, 60, -95, 65, 8, 95]
  Compare 65 and 8
  Swap 65 and 8
  List after swap: [-82, -74, 40, 60, -95, 8, 65, 95]

Pass 3:
  Compare -82 and -74
  No swap needed
  Compare -74 and 40
  No swap needed
  Compare 40 and 60
  No swap needed
  Compare 60 and -95
  Swap 60 and -95
  List after swap: [-82, -74, 40, -95, 60, 8, 65, 95]
  Compare 60 and 8
  Swap 60 and 8
  List after swap: [-82, -74, 40, -95, 8, 60, 65, 95]

Pass 4:
  Compare -82 and -74
  No swap needed
  Compare -74 and 40
  No swap needed
  Compare 40 and -95
  Swap 40 and -95
  List after swap: [-82, -74, -95, 40, 8, 60, 65, 95]
  Compare 40 and 8
  Swap 40 and 8
  List after swap: [-82, -74, -95, 8, 40, 60, 65, 95]

Pass 5:
  Compare -82 and -74
  No swap needed
  Compare -74 and -95
  Swap -74 and -95
  List after swap: [-82, -95, -74, 8, 40, 60, 65, 95]
  Compare -74 and 8
  No swap needed

Pass 6:
  Compare -82 and -95
  Swap -82 and -95
  List after swap: [-95, -82, -74, 8, 40, 60, 65, 95]
  Compare -82 and -74
  No swap needed

Pass 7:
  Compare -95 and -82
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -82, -74, 8, 40, 60, 65, 95]
</think>

<response>-95, -82, -74, 8, 40, 60, 65, 95</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 70, 28, 86, -71, 24, 94, -51, 78, -21.

output:
<think>
Initial list: [70, 28, 86, -71, 24, 94, -51, 78, -21]

Pass 1:
  Compare 70 and 28
  Swap 70 and 28
  List after swap: [28, 70, 86, -71, 24, 94, -51, 78, -21]
  Compare 70 and 86
  No swap needed
  Compare 86 and -71
  Swap 86 and -71
  List after swap: [28, 70, -71, 86, 24, 94, -51, 78, -21]
  Compare 86 and 24
  Swap 86 and 24
  List after swap: [28, 70, -71, 24, 86, 94, -51, 78, -21]
  Compare 86 and 94
  No swap needed
  Compare 94 and -51
  Swap 94 and -51
  List after swap: [28, 70, -71, 24, 86, -51, 94, 78, -21]
  Compare 94 and 78
  Swap 94 and 78
  List after swap: [28, 70, -71, 24, 86, -51, 78, 94, -21]
  Compare 94 and -21
  Swap 94 and -21
  List after swap: [28, 70, -71, 24, 86, -51, 78, -21, 94]

Pass 2:
  Compare 28 and 70
  No swap needed
  Compare 70 and -71
  Swap 70 and -71
  List after swap: [28, -71, 70, 24, 86, -51, 78, -21, 94]
  Compare 70 and 24
  Swap 70 and 24
  List after swap: [28, -71, 24, 70, 86, -51, 78, -21, 94]
  Compare 70 and 86
  No swap needed
  Compare 86 and -51
  Swap 86 and -51
  List after swap: [28, -71, 24, 70, -51, 86, 78, -21, 94]
  Compare 86 and 78
  Swap 86 and 78
  List after swap: [28, -71, 24, 70, -51, 78, 86, -21, 94]
  Compare 86 and -21
  Swap 86 and -21
  List after swap: [28, -71, 24, 70, -51, 78, -21, 86, 94]

Pass 3:
  Compare 28 and -71
  Swap 28 and -71
  List after swap: [-71, 28, 24, 70, -51, 78, -21, 86, 94]
  Compare 28 and 24
  Swap 28 and 24
  List after swap: [-71, 24, 28, 70, -51, 78, -21, 86, 94]
  Compare 28 and 70
  No swap needed
  Compare 70 and -51
  Swap 70 and -51
  List after swap: [-71, 24, 28, -51, 70, 78, -21, 86, 94]
  Compare 70 and 78
  No swap needed
  Compare 78 and -21
  Swap 78 and -21
  List after swap: [-71, 24, 28, -51, 70, -21, 78, 86, 94]

Pass 4:
  Compare -71 and 24
  No swap needed
  Compare 24 and 28
  No swap needed
  Compare 28 and -51
  Swap 28 and -51
  List after swap: [-71, 24, -51, 28, 70, -21, 78, 86, 94]
  Compare 28 and 70
  No swap needed
  Compare 70 and -21
  Swap 70 and -21
  List after swap: [-71, 24, -51, 28, -21, 70, 78, 86, 94]

Pass 5:
  Compare -71 and 24
  No swap needed
  Compare 24 and -51
  Swap 24 and -51
  List after swap: [-71, -51, 24, 28, -21, 70, 78, 86, 94]
  Compare 24 and 28
  No swap needed
  Compare 28 and -21
  Swap 28 and -21
  List after swap: [-71, -51, 24, -21, 28, 70, 78, 86, 94]

Pass 6:
  Compare -71 and -51
  No swap needed
  Compare -51 and 24
  No swap needed
  Compare 24 and -21
  Swap 24 and -21
  List after swap: [-71, -51, -21, 24, 28, 70, 78, 86, 94]

Pass 7:
  Compare -71 and -51
  No swap needed
  Compare -51 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -51, -21, 24, 28, 70, 78, 86, 94]
</think>

<response>-71, -51, -21, 24, 28, 70, 78, 86, 94</response>


input: Sort the list -61, 11, 27, -42, 59, 88, -66, 91, -14 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-61, 11, 27, -42, 59, 88, -66, 91, -14]

Pass 1:
  Compare -61 and 11
  No swap needed
  Compare 11 and 27
  No swap needed
  Compare 27 and -42
  Swap 27 and -42
  List after swap: [-61, 11, -42, 27, 59, 88, -66, 91, -14]
  Compare 27 and 59
  No swap needed
  Compare 59 and 88
  No swap needed
  Compare 88 and -66
  Swap 88 and -66
  List after swap: [-61, 11, -42, 27, 59, -66, 88, 91, -14]
  Compare 88 and 91
  No swap needed
  Compare 91 and -14
  Swap 91 and -14
  List after swap: [-61, 11, -42, 27, 59, -66, 88, -14, 91]

Pass 2:
  Compare -61 and 11
  No swap needed
  Compare 11 and -42
  Swap 11 and -42
  List after swap: [-61, -42, 11, 27, 59, -66, 88, -14, 91]
  Compare 11 and 27
  No swap needed
  Compare 27 and 59
  No swap needed
  Compare 59 and -66
  Swap 59 and -66
  List after swap: [-61, -42, 11, 27, -66, 59, 88, -14, 91]
  Compare 59 and 88
  No swap needed
  Compare 88 and -14
  Swap 88 and -14
  List after swap: [-61, -42, 11, 27, -66, 59, -14, 88, 91]

Pass 3:
  Compare -61 and -42
  No swap needed
  Compare -42 and 11
  No swap needed
  Compare 11 and 27
  No swap needed
  Compare 27 and -66
  Swap 27 and -66
  List after swap: [-61, -42, 11, -66, 27, 59, -14, 88, 91]
  Compare 27 and 59
  No swap needed
  Compare 59 and -14
  Swap 59 and -14
  List after swap: [-61, -42, 11, -66, 27, -14, 59, 88, 91]

Pass 4:
  Compare -61 and -42
  No swap needed
  Compare -42 and 11
  No swap needed
  Compare 11 and -66
  Swap 11 and -66
  List after swap: [-61, -42, -66, 11, 27, -14, 59, 88, 91]
  Compare 11 and 27
  No swap needed
  Compare 27 and -14
  Swap 27 and -14
  List after swap: [-61, -42, -66, 11, -14, 27, 59, 88, 91]

Pass 5:
  Compare -61 and -42
  No swap needed
  Compare -42 and -66
  Swap -42 and -66
  List after swap: [-61, -66, -42, 11, -14, 27, 59, 88, 91]
  Compare -42 and 11
  No swap needed
  Compare 11 and -14
  Swap 11 and -14
  List after swap: [-61, -66, -42, -14, 11, 27, 59, 88, 91]

Pass 6:
  Compare -61 and -66
  Swap -61 and -66
  List after swap: [-66, -61, -42, -14, 11, 27, 59, 88, 91]
  Compare -61 and -42
  No swap needed
  Compare -42 and -14
  No swap needed

Pass 7:
  Compare -66 and -61
  No swap needed
  Compare -61 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -61, -42, -14, 11, 27, 59, 88, 91]
</think>

<response>-66, -61, -42, -14, 11, 27, 59, 88, 91</response>


input: Use the bubble sort technique to reorder -56, -35, 28, -58, 47, 38, 35, -61 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-56, -35, 28, -58, 47, 38, 35, -61]

Pass 1:
  Compare -56 and -35
  No swap needed
  Compare -35 and 28
  No swap needed
  Compare 28 and -58
  Swap 28 and -58
  List after swap: [-56, -35, -58, 28, 47, 38, 35, -61]
  Compare 28 and 47
  No swap needed
  Compare 47 and 38
  Swap 47 and 38
  List after swap: [-56, -35, -58, 28, 38, 47, 35, -61]
  Compare 47 and 35
  Swap 47 and 35
  List after swap: [-56, -35, -58, 28, 38, 35, 47, -61]
  Compare 47 and -61
  Swap 47 and -61
  List after swap: [-56, -35, -58, 28, 38, 35, -61, 47]

Pass 2:
  Compare -56 and -35
  No swap needed
  Compare -35 and -58
  Swap -35 and -58
  List after swap: [-56, -58, -35, 28, 38, 35, -61, 47]
  Compare -35 and 28
  No swap needed
  Compare 28 and 38
  No swap needed
  Compare 38 and 35
  Swap 38 and 35
  List after swap: [-56, -58, -35, 28, 35, 38, -61, 47]
  Compare 38 and -61
  Swap 38 and -61
  List after swap: [-56, -58, -35, 28, 35, -61, 38, 47]

Pass 3:
  Compare -56 and -58
  Swap -56 and -58
  List after swap: [-58, -56, -35, 28, 35, -61, 38, 47]
  Compare -56 and -35
  No swap needed
  Compare -35 and 28
  No swap needed
  Compare 28 and 35
  No swap needed
  Compare 35 and -61
  Swap 35 and -61
  List after swap: [-58, -56, -35, 28, -61, 35, 38, 47]

Pass 4:
  Compare -58 and -56
  No swap needed
  Compare -56 and -35
  No swap needed
  Compare -35 and 28
  No swap needed
  Compare 28 and -61
  Swap 28 and -61
  List after swap: [-58, -56, -35, -61, 28, 35, 38, 47]

Pass 5:
  Compare -58 and -56
  No swap needed
  Compare -56 and -35
  No swap needed
  Compare -35 and -61
  Swap -35 and -61
  List after swap: [-58, -56, -61, -35, 28, 35, 38, 47]

Pass 6:
  Compare -58 and -56
  No swap needed
  Compare -56 and -61
  Swap -56 and -61
  List after swap: [-58, -61, -56, -35, 28, 35, 38, 47]

Pass 7:
  Compare -58 and -61
  Swap -58 and -61
  List after swap: [-61, -58, -56, -35, 28, 35, 38, 47]

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

Final sorted list: [-61, -58, -56, -35, 28, 35, 38, 47]
</think>

<response>-61, -58, -56, -35, 28, 35, 38, 47</response>


input: Arrange the numbers -71, 99, 88, -51, 31, -17, 36, -27, 28, 52 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-71, 99, 88, -51, 31, -17, 36, -27, 28, 52]

Pass 1:
  Compare -71 and 99
  No swap needed
  Compare 99 and 88
  Swap 99 and 88
  List after swap: [-71, 88, 99, -51, 31, -17, 36, -27, 28, 52]
  Compare 99 and -51
  Swap 99 and -51
  List after swap: [-71, 88, -51, 99, 31, -17, 36, -27, 28, 52]
  Compare 99 and 31
  Swap 99 and 31
  List after swap: [-71, 88, -51, 31, 99, -17, 36, -27, 28, 52]
  Compare 99 and -17
  Swap 99 and -17
  List after swap: [-71, 88, -51, 31, -17, 99, 36, -27, 28, 52]
  Compare 99 and 36
  Swap 99 and 36
  List after swap: [-71, 88, -51, 31, -17, 36, 99, -27, 28, 52]
  Compare 99 and -27
  Swap 99 and -27
  List after swap: [-71, 88, -51, 31, -17, 36, -27, 99, 28, 52]
  Compare 99 and 28
  Swap 99 and 28
  List after swap: [-71, 88, -51, 31, -17, 36, -27, 28, 99, 52]
  Compare 99 and 52
  Swap 99 and 52
  List after swap: [-71, 88, -51, 31, -17, 36, -27, 28, 52, 99]

Pass 2:
  Compare -71 and 88
  No swap needed
  Compare 88 and -51
  Swap 88 and -51
  List after swap: [-71, -51, 88, 31, -17, 36, -27, 28, 52, 99]
  Compare 88 and 31
  Swap 88 and 31
  List after swap: [-71, -51, 31, 88, -17, 36, -27, 28, 52, 99]
  Compare 88 and -17
  Swap 88 and -17
  List after swap: [-71, -51, 31, -17, 88, 36, -27, 28, 52, 99]
  Compare 88 and 36
  Swap 88 and 36
  List after swap: [-71, -51, 31, -17, 36, 88, -27, 28, 52, 99]
  Compare 88 and -27
  Swap 88 and -27
  List after swap: [-71, -51, 31, -17, 36, -27, 88, 28, 52, 99]
  Compare 88 and 28
  Swap 88 and 28
  List after swap: [-71, -51, 31, -17, 36, -27, 28, 88, 52, 99]
  Compare 88 and 52
  Swap 88 and 52
  List after swap: [-71, -51, 31, -17, 36, -27, 28, 52, 88, 99]

Pass 3:
  Compare -71 and -51
  No swap needed
  Compare -51 and 31
  No swap needed
  Compare 31 and -17
  Swap 31 and -17
  List after swap: [-71, -51, -17, 31, 36, -27, 28, 52, 88, 99]
  Compare 31 and 36
  No swap needed
  Compare 36 and -27
  Swap 36 and -27
  List after swap: [-71, -51, -17, 31, -27, 36, 28, 52, 88, 99]
  Compare 36 and 28
  Swap 36 and 28
  List after swap: [-71, -51, -17, 31, -27, 28, 36, 52, 88, 99]
  Compare 36 and 52
  No swap needed

Pass 4:
  Compare -71 and -51
  No swap needed
  Compare -51 and -17
  No swap needed
  Compare -17 and 31
  No swap needed
  Compare 31 and -27
  Swap 31 and -27
  List after swap: [-71, -51, -17, -27, 31, 28, 36, 52, 88, 99]
  Compare 31 and 28
  Swap 31 and 28
  List after swap: [-71, -51, -17, -27, 28, 31, 36, 52, 88, 99]
  Compare 31 and 36
  No swap needed

Pass 5:
  Compare -71 and -51
  No swap needed
  Compare -51 and -17
  No swap needed
  Compare -17 and -27
  Swap -17 and -27
  List after swap: [-71, -51, -27, -17, 28, 31, 36, 52, 88, 99]
  Compare -17 and 28
  No swap needed
  Compare 28 and 31
  No swap needed

Pass 6:
  Compare -71 and -51
  No swap needed
  Compare -51 and -27
  No swap needed
  Compare -27 and -17
  No swap needed
  Compare -17 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -51, -27, -17, 28, 31, 36, 52, 88, 99]
</think>

<response>-71, -51, -27, -17, 28, 31, 36, 52, 88, 99</response>


input: Execute bubble sort to sort -23, -30, 35, -15, 41 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-23, -30, 35, -15, 41]

Pass 1:
  Compare -23 and -30
  Swap -23 and -30
  List after swap: [-30, -23, 35, -15, 41]
  Compare -23 and 35
  No swap needed
  Compare 35 and -15
  Swap 35 and -15
  List after swap: [-30, -23, -15, 35, 41]
  Compare 35 and 41
  No swap needed

Pass 2:
  Compare -30 and -23
  No swap needed
  Compare -23 and -15
  No swap needed
  Compare -15 and 35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-30, -23, -15, 35, 41]
</think>

<response>-30, -23, -15, 35, 41</response>


input: Use the bubble sort technique to reorder -83, 12, 85, -95, -30, 68, -94, -23 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-83, 12, 85, -95, -30, 68, -94, -23]

Pass 1:
  Compare -83 and 12
  No swap needed
  Compare 12 and 85
  No swap needed
  Compare 85 and -95
  Swap 85 and -95
  List after swap: [-83, 12, -95, 85, -30, 68, -94, -23]
  Compare 85 and -30
  Swap 85 and -30
  List after swap: [-83, 12, -95, -30, 85, 68, -94, -23]
  Compare 85 and 68
  Swap 85 and 68
  List after swap: [-83, 12, -95, -30, 68, 85, -94, -23]
  Compare 85 and -94
  Swap 85 and -94
  List after swap: [-83, 12, -95, -30, 68, -94, 85, -23]
  Compare 85 and -23
  Swap 85 and -23
  List after swap: [-83, 12, -95, -30, 68, -94, -23, 85]

Pass 2:
  Compare -83 and 12
  No swap needed
  Compare 12 and -95
  Swap 12 and -95
  List after swap: [-83, -95, 12, -30, 68, -94, -23, 85]
  Compare 12 and -30
  Swap 12 and -30
  List after swap: [-83, -95, -30, 12, 68, -94, -23, 85]
  Compare 12 and 68
  No swap needed
  Compare 68 and -94
  Swap 68 and -94
  List after swap: [-83, -95, -30, 12, -94, 68, -23, 85]
  Compare 68 and -23
  Swap 68 and -23
  List after swap: [-83, -95, -30, 12, -94, -23, 68, 85]

Pass 3:
  Compare -83 and -95
  Swap -83 and -95
  List after swap: [-95, -83, -30, 12, -94, -23, 68, 85]
  Compare -83 and -30
  No swap needed
  Compare -30 and 12
  No swap needed
  Compare 12 and -94
  Swap 12 and -94
  List after swap: [-95, -83, -30, -94, 12, -23, 68, 85]
  Compare 12 and -23
  Swap 12 and -23
  List after swap: [-95, -83, -30, -94, -23, 12, 68, 85]

Pass 4:
  Compare -95 and -83
  No swap needed
  Compare -83 and -30
  No swap needed
  Compare -30 and -94
  Swap -30 and -94
  List after swap: [-95, -83, -94, -30, -23, 12, 68, 85]
  Compare -30 and -23
  No swap needed

Pass 5:
  Compare -95 and -83
  No swap needed
  Compare -83 and -94
  Swap -83 and -94
  List after swap: [-95, -94, -83, -30, -23, 12, 68, 85]
  Compare -83 and -30
  No swap needed

Pass 6:
  Compare -95 and -94
  No swap needed
  Compare -94 and -83
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -94, -83, -30, -23, 12, 68, 85]
</think>

<response>-95, -94, -83, -30, -23, 12, 68, 85</response>


input: Execute bubble sort to sort 58, -26, 66, -16, 63, 16 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [58, -26, 66, -16, 63, 16]

Pass 1:
  Compare 58 and -26
  Swap 58 and -26
  List after swap: [-26, 58, 66, -16, 63, 16]
  Compare 58 and 66
  No swap needed
  Compare 66 and -16
  Swap 66 and -16
  List after swap: [-26, 58, -16, 66, 63, 16]
  Compare 66 and 63
  Swap 66 and 63
  List after swap: [-26, 58, -16, 63, 66, 16]
  Compare 66 and 16
  Swap 66 and 16
  List after swap: [-26, 58, -16, 63, 16, 66]

Pass 2:
  Compare -26 and 58
  No swap needed
  Compare 58 and -16
  Swap 58 and -16
  List after swap: [-26, -16, 58, 63, 16, 66]
  Compare 58 and 63
  No swap needed
  Compare 63 and 16
  Swap 63 and 16
  List after swap: [-26, -16, 58, 16, 63, 66]

Pass 3:
  Compare -26 and -16
  No swap needed
  Compare -16 and 58
  No swap needed
  Compare 58 and 16
  Swap 58 and 16
  List after swap: [-26, -16, 16, 58, 63, 66]

Pass 4:
  Compare -26 and -16
  No swap needed
  Compare -16 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-26, -16, 16, 58, 63, 66]
</think>

<response>-26, -16, 16, 58, 63, 66</response>


input: Perform a bubble sort on the integers -15, 60, 31, -51, 68, 93, -44, 8, 40, 74, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-15, 60, 31, -51, 68, 93, -44, 8, 40, 74]

Pass 1:
  Compare -15 and 60
  No swap needed
  Compare 60 and 31
  Swap 60 and 31
  List after swap: [-15, 31, 60, -51, 68, 93, -44, 8, 40, 74]
  Compare 60 and -51
  Swap 60 and -51
  List after swap: [-15, 31, -51, 60, 68, 93, -44, 8, 40, 74]
  Compare 60 and 68
  No swap needed
  Compare 68 and 93
  No swap needed
  Compare 93 and -44
  Swap 93 and -44
  List after swap: [-15, 31, -51, 60, 68, -44, 93, 8, 40, 74]
  Compare 93 and 8
  Swap 93 and 8
  List after swap: [-15, 31, -51, 60, 68, -44, 8, 93, 40, 74]
  Compare 93 and 40
  Swap 93 and 40
  List after swap: [-15, 31, -51, 60, 68, -44, 8, 40, 93, 74]
  Compare 93 and 74
  Swap 93 and 74
  List after swap: [-15, 31, -51, 60, 68, -44, 8, 40, 74, 93]

Pass 2:
  Compare -15 and 31
  No swap needed
  Compare 31 and -51
  Swap 31 and -51
  List after swap: [-15, -51, 31, 60, 68, -44, 8, 40, 74, 93]
  Compare 31 and 60
  No swap needed
  Compare 60 and 68
  No swap needed
  Compare 68 and -44
  Swap 68 and -44
  List after swap: [-15, -51, 31, 60, -44, 68, 8, 40, 74, 93]
  Compare 68 and 8
  Swap 68 and 8
  List after swap: [-15, -51, 31, 60, -44, 8, 68, 40, 74, 93]
  Compare 68 and 40
  Swap 68 and 40
  List after swap: [-15, -51, 31, 60, -44, 8, 40, 68, 74, 93]
  Compare 68 and 74
  No swap needed

Pass 3:
  Compare -15 and -51
  Swap -15 and -51
  List after swap: [-51, -15, 31, 60, -44, 8, 40, 68, 74, 93]
  Compare -15 and 31
  No swap needed
  Compare 31 and 60
  No swap needed
  Compare 60 and -44
  Swap 60 and -44
  List after swap: [-51, -15, 31, -44, 60, 8, 40, 68, 74, 93]
  Compare 60 and 8
  Swap 60 and 8
  List after swap: [-51, -15, 31, -44, 8, 60, 40, 68, 74, 93]
  Compare 60 and 40
  Swap 60 and 40
  List after swap: [-51, -15, 31, -44, 8, 40, 60, 68, 74, 93]
  Compare 60 and 68
  No swap needed

Pass 4:
  Compare -51 and -15
  No swap needed
  Compare -15 and 31
  No swap needed
  Compare 31 and -44
  Swap 31 and -44
  List after swap: [-51, -15, -44, 31, 8, 40, 60, 68, 74, 93]
  Compare 31 and 8
  Swap 31 and 8
  List after swap: [-51, -15, -44, 8, 31, 40, 60, 68, 74, 93]
  Compare 31 and 40
  No swap needed
  Compare 40 and 60
  No swap needed

Pass 5:
  Compare -51 and -15
  No swap needed
  Compare -15 and -44
  Swap -15 and -44
  List after swap: [-51, -44, -15, 8, 31, 40, 60, 68, 74, 93]
  Compare -15 and 8
  No swap needed
  Compare 8 and 31
  No swap needed
  Compare 31 and 40
  No swap needed

Pass 6:
  Compare -51 and -44
  No swap needed
  Compare -44 and -15
  No swap needed
  Compare -15 and 8
  No swap needed
  Compare 8 and 31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-51, -44, -15, 8, 31, 40, 60, 68, 74, 93]
</think>

<response>-51, -44, -15, 8, 31, 40, 60, 68, 74, 93</response>


input: Sort these integers 93, 68, -55, 67, 25, -87, 23, -75, 41, 3 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [93, 68, -55, 67, 25, -87, 23, -75, 41, 3]

Pass 1:
  Compare 93 and 68
  Swap 93 and 68
  List after swap: [68, 93, -55, 67, 25, -87, 23, -75, 41, 3]
  Compare 93 and -55
  Swap 93 and -55
  List after swap: [68, -55, 93, 67, 25, -87, 23, -75, 41, 3]
  Compare 93 and 67
  Swap 93 and 67
  List after swap: [68, -55, 67, 93, 25, -87, 23, -75, 41, 3]
  Compare 93 and 25
  Swap 93 and 25
  List after swap: [68, -55, 67, 25, 93, -87, 23, -75, 41, 3]
  Compare 93 and -87
  Swap 93 and -87
  List after swap: [68, -55, 67, 25, -87, 93, 23, -75, 41, 3]
  Compare 93 and 23
  Swap 93 and 23
  List after swap: [68, -55, 67, 25, -87, 23, 93, -75, 41, 3]
  Compare 93 and -75
  Swap 93 and -75
  List after swap: [68, -55, 67, 25, -87, 23, -75, 93, 41, 3]
  Compare 93 and 41
  Swap 93 and 41
  List after swap: [68, -55, 67, 25, -87, 23, -75, 41, 93, 3]
  Compare 93 and 3
  Swap 93 and 3
  List after swap: [68, -55, 67, 25, -87, 23, -75, 41, 3, 93]

Pass 2:
  Compare 68 and -55
  Swap 68 and -55
  List after swap: [-55, 68, 67, 25, -87, 23, -75, 41, 3, 93]
  Compare 68 and 67
  Swap 68 and 67
  List after swap: [-55, 67, 68, 25, -87, 23, -75, 41, 3, 93]
  Compare 68 and 25
  Swap 68 and 25
  List after swap: [-55, 67, 25, 68, -87, 23, -75, 41, 3, 93]
  Compare 68 and -87
  Swap 68 and -87
  List after swap: [-55, 67, 25, -87, 68, 23, -75, 41, 3, 93]
  Compare 68 and 23
  Swap 68 and 23
  List after swap: [-55, 67, 25, -87, 23, 68, -75, 41, 3, 93]
  Compare 68 and -75
  Swap 68 and -75
  List after swap: [-55, 67, 25, -87, 23, -75, 68, 41, 3, 93]
  Compare 68 and 41
  Swap 68 and 41
  List after swap: [-55, 67, 25, -87, 23, -75, 41, 68, 3, 93]
  Compare 68 and 3
  Swap 68 and 3
  List after swap: [-55, 67, 25, -87, 23, -75, 41, 3, 68, 93]

Pass 3:
  Compare -55 and 67
  No swap needed
  Compare 67 and 25
  Swap 67 and 25
  List after swap: [-55, 25, 67, -87, 23, -75, 41, 3, 68, 93]
  Compare 67 and -87
  Swap 67 and -87
  List after swap: [-55, 25, -87, 67, 23, -75, 41, 3, 68, 93]
  Compare 67 and 23
  Swap 67 and 23
  List after swap: [-55, 25, -87, 23, 67, -75, 41, 3, 68, 93]
  Compare 67 and -75
  Swap 67 and -75
  List after swap: [-55, 25, -87, 23, -75, 67, 41, 3, 68, 93]
  Compare 67 and 41
  Swap 67 and 41
  List after swap: [-55, 25, -87, 23, -75, 41, 67, 3, 68, 93]
  Compare 67 and 3
  Swap 67 and 3
  List after swap: [-55, 25, -87, 23, -75, 41, 3, 67, 68, 93]

Pass 4:
  Compare -55 and 25
  No swap needed
  Compare 25 and -87
  Swap 25 and -87
  List after swap: [-55, -87, 25, 23, -75, 41, 3, 67, 68, 93]
  Compare 25 and 23
  Swap 25 and 23
  List after swap: [-55, -87, 23, 25, -75, 41, 3, 67, 68, 93]
  Compare 25 and -75
  Swap 25 and -75
  List after swap: [-55, -87, 23, -75, 25, 41, 3, 67, 68, 93]
  Compare 25 and 41
  No swap needed
  Compare 41 and 3
  Swap 41 and 3
  List after swap: [-55, -87, 23, -75, 25, 3, 41, 67, 68, 93]

Pass 5:
  Compare -55 and -87
  Swap -55 and -87
  List after swap: [-87, -55, 23, -75, 25, 3, 41, 67, 68, 93]
  Compare -55 and 23
  No swap needed
  Compare 23 and -75
  Swap 23 and -75
  List after swap: [-87, -55, -75, 23, 25, 3, 41, 67, 68, 93]
  Compare 23 and 25
  No swap needed
  Compare 25 and 3
  Swap 25 and 3
  List after swap: [-87, -55, -75, 23, 3, 25, 41, 67, 68, 93]

Pass 6:
  Compare -87 and -55
  No swap needed
  Compare -55 and -75
  Swap -55 and -75
  List after swap: [-87, -75, -55, 23, 3, 25, 41, 67, 68, 93]
  Compare -55 and 23
  No swap needed
  Compare 23 and 3
  Swap 23 and 3
  List after swap: [-87, -75, -55, 3, 23, 25, 41, 67, 68, 93]

Pass 7:
  Compare -87 and -75
  No swap needed
  Compare -75 and -55
  No swap needed
  Compare -55 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -75, -55, 3, 23, 25, 41, 67, 68, 93]
</think>

<response>-87, -75, -55, 3, 23, 25, 41, 67, 68, 93</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 19, -79, 58, -83, 57, -37, 29, -25.

output:
<think>
Initial list: [19, -79, 58, -83, 57, -37, 29, -25]

Pass 1:
  Compare 19 and -79
  Swap 19 and -79
  List after swap: [-79, 19, 58, -83, 57, -37, 29, -25]
  Compare 19 and 58
  No swap needed
  Compare 58 and -83
  Swap 58 and -83
  List after swap: [-79, 19, -83, 58, 57, -37, 29, -25]
  Compare 58 and 57
  Swap 58 and 57
  List after swap: [-79, 19, -83, 57, 58, -37, 29, -25]
  Compare 58 and -37
  Swap 58 and -37
  List after swap: [-79, 19, -83, 57, -37, 58, 29, -25]
  Compare 58 and 29
  Swap 58 and 29
  List after swap: [-79, 19, -83, 57, -37, 29, 58, -25]
  Compare 58 and -25
  Swap 58 and -25
  List after swap: [-79, 19, -83, 57, -37, 29, -25, 58]

Pass 2:
  Compare -79 and 19
  No swap needed
  Compare 19 and -83
  Swap 19 and -83
  List after swap: [-79, -83, 19, 57, -37, 29, -25, 58]
  Compare 19 and 57
  No swap needed
  Compare 57 and -37
  Swap 57 and -37
  List after swap: [-79, -83, 19, -37, 57, 29, -25, 58]
  Compare 57 and 29
  Swap 57 and 29
  List after swap: [-79, -83, 19, -37, 29, 57, -25, 58]
  Compare 57 and -25
  Swap 57 and -25
  List after swap: [-79, -83, 19, -37, 29, -25, 57, 58]

Pass 3:
  Compare -79 and -83
  Swap -79 and -83
  List after swap: [-83, -79, 19, -37, 29, -25, 57, 58]
  Compare -79 and 19
  No swap needed
  Compare 19 and -37
  Swap 19 and -37
  List after swap: [-83, -79, -37, 19, 29, -25, 57, 58]
  Compare 19 and 29
  No swap needed
  Compare 29 and -25
  Swap 29 and -25
  List after swap: [-83, -79, -37, 19, -25, 29, 57, 58]

Pass 4:
  Compare -83 and -79
  No swap needed
  Compare -79 and -37
  No swap needed
  Compare -37 and 19
  No swap needed
  Compare 19 and -25
  Swap 19 and -25
  List after swap: [-83, -79, -37, -25, 19, 29, 57, 58]

Pass 5:
  Compare -83 and -79
  No swap needed
  Compare -79 and -37
  No swap needed
  Compare -37 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -79, -37, -25, 19, 29, 57, 58]
</think>

<response>-83, -79, -37, -25, 19, 29, 57, 58</response>


input: Perform a bubble sort on the integers -29, 67, 11, 2, -66, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-29, 67, 11, 2, -66]

Pass 1:
  Compare -29 and 67
  No swap needed
  Compare 67 and 11
  Swap 67 and 11
  List after swap: [-29, 11, 67, 2, -66]
  Compare 67 and 2
  Swap 67 and 2
  List after swap: [-29, 11, 2, 67, -66]
  Compare 67 and -66
  Swap 67 and -66
  List after swap: [-29, 11, 2, -66, 67]

Pass 2:
  Compare -29 and 11
  No swap needed
  Compare 11 and 2
  Swap 11 and 2
  List after swap: [-29, 2, 11, -66, 67]
  Compare 11 and -66
  Swap 11 and -66
  List after swap: [-29, 2, -66, 11, 67]

Pass 3:
  Compare -29 and 2
  No swap needed
  Compare 2 and -66
  Swap 2 and -66
  List after swap: [-29, -66, 2, 11, 67]

Pass 4:
  Compare -29 and -66
  Swap -29 and -66
  List after swap: [-66, -29, 2, 11, 67]

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

Final sorted list: [-66, -29, 2, 11, 67]
</think>

<response>-66, -29, 2, 11, 67</response>


input: Arrange the numbers 45, -95, 69, -57, 26, 60, 56, -96 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [45, -95, 69, -57, 26, 60, 56, -96]

Pass 1:
  Compare 45 and -95
  Swap 45 and -95
  List after swap: [-95, 45, 69, -57, 26, 60, 56, -96]
  Compare 45 and 69
  No swap needed
  Compare 69 and -57
  Swap 69 and -57
  List after swap: [-95, 45, -57, 69, 26, 60, 56, -96]
  Compare 69 and 26
  Swap 69 and 26
  List after swap: [-95, 45, -57, 26, 69, 60, 56, -96]
  Compare 69 and 60
  Swap 69 and 60
  List after swap: [-95, 45, -57, 26, 60, 69, 56, -96]
  Compare 69 and 56
  Swap 69 and 56
  List after swap: [-95, 45, -57, 26, 60, 56, 69, -96]
  Compare 69 and -96
  Swap 69 and -96
  List after swap: [-95, 45, -57, 26, 60, 56, -96, 69]

Pass 2:
  Compare -95 and 45
  No swap needed
  Compare 45 and -57
  Swap 45 and -57
  List after swap: [-95, -57, 45, 26, 60, 56, -96, 69]
  Compare 45 and 26
  Swap 45 and 26
  List after swap: [-95, -57, 26, 45, 60, 56, -96, 69]
  Compare 45 and 60
  No swap needed
  Compare 60 and 56
  Swap 60 and 56
  List after swap: [-95, -57, 26, 45, 56, 60, -96, 69]
  Compare 60 and -96
  Swap 60 and -96
  List after swap: [-95, -57, 26, 45, 56, -96, 60, 69]

Pass 3:
  Compare -95 and -57
  No swap needed
  Compare -57 and 26
  No swap needed
  Compare 26 and 45
  No swap needed
  Compare 45 and 56
  No swap needed
  Compare 56 and -96
  Swap 56 and -96
  List after swap: [-95, -57, 26, 45, -96, 56, 60, 69]

Pass 4:
  Compare -95 and -57
  No swap needed
  Compare -57 and 26
  No swap needed
  Compare 26 and 45
  No swap needed
  Compare 45 and -96
  Swap 45 and -96
  List after swap: [-95, -57, 26, -96, 45, 56, 60, 69]

Pass 5:
  Compare -95 and -57
  No swap needed
  Compare -57 and 26
  No swap needed
  Compare 26 and -96
  Swap 26 and -96
  List after swap: [-95, -57, -96, 26, 45, 56, 60, 69]

Pass 6:
  Compare -95 and -57
  No swap needed
  Compare -57 and -96
  Swap -57 and -96
  List after swap: [-95, -96, -57, 26, 45, 56, 60, 69]

Pass 7:
  Compare -95 and -96
  Swap -95 and -96
  List after swap: [-96, -95, -57, 26, 45, 56, 60, 69]

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

Final sorted list: [-96, -95, -57, 26, 45, 56, 60, 69]
</think>

<response>-96, -95, -57, 26, 45, 56, 60, 69</response>


input: Use the bubble sort technique to reorder -58, 56 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-58, 56]

Pass 1:
  Compare -58 and 56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, 56]
</think>

<response>-58, 56</response>


input: Execute bubble sort to sort -31, 28, 72, -85, 70, -88, -93, -63, -47, -9 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-31, 28, 72, -85, 70, -88, -93, -63, -47, -9]

Pass 1:
  Compare -31 and 28
  No swap needed
  Compare 28 and 72
  No swap needed
  Compare 72 and -85
  Swap 72 and -85
  List after swap: [-31, 28, -85, 72, 70, -88, -93, -63, -47, -9]
  Compare 72 and 70
  Swap 72 and 70
  List after swap: [-31, 28, -85, 70, 72, -88, -93, -63, -47, -9]
  Compare 72 and -88
  Swap 72 and -88
  List after swap: [-31, 28, -85, 70, -88, 72, -93, -63, -47, -9]
  Compare 72 and -93
  Swap 72 and -93
  List after swap: [-31, 28, -85, 70, -88, -93, 72, -63, -47, -9]
  Compare 72 and -63
  Swap 72 and -63
  List after swap: [-31, 28, -85, 70, -88, -93, -63, 72, -47, -9]
  Compare 72 and -47
  Swap 72 and -47
  List after swap: [-31, 28, -85, 70, -88, -93, -63, -47, 72, -9]
  Compare 72 and -9
  Swap 72 and -9
  List after swap: [-31, 28, -85, 70, -88, -93, -63, -47, -9, 72]

Pass 2:
  Compare -31 and 28
  No swap needed
  Compare 28 and -85
  Swap 28 and -85
  List after swap: [-31, -85, 28, 70, -88, -93, -63, -47, -9, 72]
  Compare 28 and 70
  No swap needed
  Compare 70 and -88
  Swap 70 and -88
  List after swap: [-31, -85, 28, -88, 70, -93, -63, -47, -9, 72]
  Compare 70 and -93
  Swap 70 and -93
  List after swap: [-31, -85, 28, -88, -93, 70, -63, -47, -9, 72]
  Compare 70 and -63
  Swap 70 and -63
  List after swap: [-31, -85, 28, -88, -93, -63, 70, -47, -9, 72]
  Compare 70 and -47
  Swap 70 and -47
  List after swap: [-31, -85, 28, -88, -93, -63, -47, 70, -9, 72]
  Compare 70 and -9
  Swap 70 and -9
  List after swap: [-31, -85, 28, -88, -93, -63, -47, -9, 70, 72]

Pass 3:
  Compare -31 and -85
  Swap -31 and -85
  List after swap: [-85, -31, 28, -88, -93, -63, -47, -9, 70, 72]
  Compare -31 and 28
  No swap needed
  Compare 28 and -88
  Swap 28 and -88
  List after swap: [-85, -31, -88, 28, -93, -63, -47, -9, 70, 72]
  Compare 28 and -93
  Swap 28 and -93
  List after swap: [-85, -31, -88, -93, 28, -63, -47, -9, 70, 72]
  Compare 28 and -63
  Swap 28 and -63
  List after swap: [-85, -31, -88, -93, -63, 28, -47, -9, 70, 72]
  Compare 28 and -47
  Swap 28 and -47
  List after swap: [-85, -31, -88, -93, -63, -47, 28, -9, 70, 72]
  Compare 28 and -9
  Swap 28 and -9
  List after swap: [-85, -31, -88, -93, -63, -47, -9, 28, 70, 72]

Pass 4:
  Compare -85 and -31
  No swap needed
  Compare -31 and -88
  Swap -31 and -88
  List after swap: [-85, -88, -31, -93, -63, -47, -9, 28, 70, 72]
  Compare -31 and -93
  Swap -31 and -93
  List after swap: [-85, -88, -93, -31, -63, -47, -9, 28, 70, 72]
  Compare -31 and -63
  Swap -31 and -63
  List after swap: [-85, -88, -93, -63, -31, -47, -9, 28, 70, 72]
  Compare -31 and -47
  Swap -31 and -47
  List after swap: [-85, -88, -93, -63, -47, -31, -9, 28, 70, 72]
  Compare -31 and -9
  No swap needed

Pass 5:
  Compare -85 and -88
  Swap -85 and -88
  List after swap: [-88, -85, -93, -63, -47, -31, -9, 28, 70, 72]
  Compare -85 and -93
  Swap -85 and -93
  List after swap: [-88, -93, -85, -63, -47, -31, -9, 28, 70, 72]
  Compare -85 and -63
  No swap needed
  Compare -63 and -47
  No swap needed
  Compare -47 and -31
  No swap needed

Pass 6:
  Compare -88 and -93
  Swap -88 and -93
  List after swap: [-93, -88, -85, -63, -47, -31, -9, 28, 70, 72]
  Compare -88 and -85
  No swap needed
  Compare -85 and -63
  No swap needed
  Compare -63 and -47
  No swap needed

Pass 7:
  Compare -93 and -88
  No swap needed
  Compare -88 and -85
  No swap needed
  Compare -85 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -88, -85, -63, -47, -31, -9, 28, 70, 72]
</think>

<response>-93, -88, -85, -63, -47, -31, -9, 28, 70, 72</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 38, 10, 54, 45, 66, -56, 11, 59, 87.

output:
<think>
Initial list: [38, 10, 54, 45, 66, -56, 11, 59, 87]

Pass 1:
  Compare 38 and 10
  Swap 38 and 10
  List after swap: [10, 38, 54, 45, 66, -56, 11, 59, 87]
  Compare 38 and 54
  No swap needed
  Compare 54 and 45
  Swap 54 and 45
  List after swap: [10, 38, 45, 54, 66, -56, 11, 59, 87]
  Compare 54 and 66
  No swap needed
  Compare 66 and -56
  Swap 66 and -56
  List after swap: [10, 38, 45, 54, -56, 66, 11, 59, 87]
  Compare 66 and 11
  Swap 66 and 11
  List after swap: [10, 38, 45, 54, -56, 11, 66, 59, 87]
  Compare 66 and 59
  Swap 66 and 59
  List after swap: [10, 38, 45, 54, -56, 11, 59, 66, 87]
  Compare 66 and 87
  No swap needed

Pass 2:
  Compare 10 and 38
  No swap needed
  Compare 38 and 45
  No swap needed
  Compare 45 and 54
  No swap needed
  Compare 54 and -56
  Swap 54 and -56
  List after swap: [10, 38, 45, -56, 54, 11, 59, 66, 87]
  Compare 54 and 11
  Swap 54 and 11
  List after swap: [10, 38, 45, -56, 11, 54, 59, 66, 87]
  Compare 54 and 59
  No swap needed
  Compare 59 and 66
  No swap needed

Pass 3:
  Compare 10 and 38
  No swap needed
  Compare 38 and 45
  No swap needed
  Compare 45 and -56
  Swap 45 and -56
  List after swap: [10, 38, -56, 45, 11, 54, 59, 66, 87]
  Compare 45 and 11
  Swap 45 and 11
  List after swap: [10, 38, -56, 11, 45, 54, 59, 66, 87]
  Compare 45 and 54
  No swap needed
  Compare 54 and 59
  No swap needed

Pass 4:
  Compare 10 and 38
  No swap needed
  Compare 38 and -56
  Swap 38 and -56
  List after swap: [10, -56, 38, 11, 45, 54, 59, 66, 87]
  Compare 38 and 11
  Swap 38 and 11
  List after swap: [10, -56, 11, 38, 45, 54, 59, 66, 87]
  Compare 38 and 45
  No swap needed
  Compare 45 and 54
  No swap needed

Pass 5:
  Compare 10 and -56
  Swap 10 and -56
  List after swap: [-56, 10, 11, 38, 45, 54, 59, 66, 87]
  Compare 10 and 11
  No swap needed
  Compare 11 and 38
  No swap needed
  Compare 38 and 45
  No swap needed

Pass 6:
  Compare -56 and 10
  No swap needed
  Compare 10 and 11
  No swap needed
  Compare 11 and 38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, 10, 11, 38, 45, 54, 59, 66, 87]
</think>

<response>-56, 10, 11, 38, 45, 54, 59, 66, 87</response>


input: Perform a bubble sort on the integers -56, -15, -95, -4, -92, -84, 68, 96, -27, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-56, -15, -95, -4, -92, -84, 68, 96, -27]

Pass 1:
  Compare -56 and -15
  No swap needed
  Compare -15 and -95
  Swap -15 and -95
  List after swap: [-56, -95, -15, -4, -92, -84, 68, 96, -27]
  Compare -15 and -4
  No swap needed
  Compare -4 and -92
  Swap -4 and -92
  List after swap: [-56, -95, -15, -92, -4, -84, 68, 96, -27]
  Compare -4 and -84
  Swap -4 and -84
  List after swap: [-56, -95, -15, -92, -84, -4, 68, 96, -27]
  Compare -4 and 68
  No swap needed
  Compare 68 and 96
  No swap needed
  Compare 96 and -27
  Swap 96 and -27
  List after swap: [-56, -95, -15, -92, -84, -4, 68, -27, 96]

Pass 2:
  Compare -56 and -95
  Swap -56 and -95
  List after swap: [-95, -56, -15, -92, -84, -4, 68, -27, 96]
  Compare -56 and -15
  No swap needed
  Compare -15 and -92
  Swap -15 and -92
  List after swap: [-95, -56, -92, -15, -84, -4, 68, -27, 96]
  Compare -15 and -84
  Swap -15 and -84
  List after swap: [-95, -56, -92, -84, -15, -4, 68, -27, 96]
  Compare -15 and -4
  No swap needed
  Compare -4 and 68
  No swap needed
  Compare 68 and -27
  Swap 68 and -27
  List after swap: [-95, -56, -92, -84, -15, -4, -27, 68, 96]

Pass 3:
  Compare -95 and -56
  No swap needed
  Compare -56 and -92
  Swap -56 and -92
  List after swap: [-95, -92, -56, -84, -15, -4, -27, 68, 96]
  Compare -56 and -84
  Swap -56 and -84
  List after swap: [-95, -92, -84, -56, -15, -4, -27, 68, 96]
  Compare -56 and -15
  No swap needed
  Compare -15 and -4
  No swap needed
  Compare -4 and -27
  Swap -4 and -27
  List after swap: [-95, -92, -84, -56, -15, -27, -4, 68, 96]

Pass 4:
  Compare -95 and -92
  No swap needed
  Compare -92 and -84
  No swap needed
  Compare -84 and -56
  No swap needed
  Compare -56 and -15
  No swap needed
  Compare -15 and -27
  Swap -15 and -27
  List after swap: [-95, -92, -84, -56, -27, -15, -4, 68, 96]

Pass 5:
  Compare -95 and -92
  No swap needed
  Compare -92 and -84
  No swap needed
  Compare -84 and -56
  No swap needed
  Compare -56 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -92, -84, -56, -27, -15, -4, 68, 96]
</think>

<response>-95, -92, -84, -56, -27, -15, -4, 68, 96</response>


input: Arrange the numbers -25, 2, 95 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-25, 2, 95]

Pass 1:
  Compare -25 and 2
  No swap needed
  Compare 2 and 95
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-25, 2, 95]
</think>

<response>-25, 2, 95</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 61, -42, 32, -78, 92, -37, 4, -31.

output:
<think>
Initial list: [61, -42, 32, -78, 92, -37, 4, -31]

Pass 1:
  Compare 61 and -42
  Swap 61 and -42
  List after swap: [-42, 61, 32, -78, 92, -37, 4, -31]
  Compare 61 and 32
  Swap 61 and 32
  List after swap: [-42, 32, 61, -78, 92, -37, 4, -31]
  Compare 61 and -78
  Swap 61 and -78
  List after swap: [-42, 32, -78, 61, 92, -37, 4, -31]
  Compare 61 and 92
  No swap needed
  Compare 92 and -37
  Swap 92 and -37
  List after swap: [-42, 32, -78, 61, -37, 92, 4, -31]
  Compare 92 and 4
  Swap 92 and 4
  List after swap: [-42, 32, -78, 61, -37, 4, 92, -31]
  Compare 92 and -31
  Swap 92 and -31
  List after swap: [-42, 32, -78, 61, -37, 4, -31, 92]

Pass 2:
  Compare -42 and 32
  No swap needed
  Compare 32 and -78
  Swap 32 and -78
  List after swap: [-42, -78, 32, 61, -37, 4, -31, 92]
  Compare 32 and 61
  No swap needed
  Compare 61 and -37
  Swap 61 and -37
  List after swap: [-42, -78, 32, -37, 61, 4, -31, 92]
  Compare 61 and 4
  Swap 61 and 4
  List after swap: [-42, -78, 32, -37, 4, 61, -31, 92]
  Compare 61 and -31
  Swap 61 and -31
  List after swap: [-42, -78, 32, -37, 4, -31, 61, 92]

Pass 3:
  Compare -42 and -78
  Swap -42 and -78
  List after swap: [-78, -42, 32, -37, 4, -31, 61, 92]
  Compare -42 and 32
  No swap needed
  Compare 32 and -37
  Swap 32 and -37
  List after swap: [-78, -42, -37, 32, 4, -31, 61, 92]
  Compare 32 and 4
  Swap 32 and 4
  List after swap: [-78, -42, -37, 4, 32, -31, 61, 92]
  Compare 32 and -31
  Swap 32 and -31
  List after swap: [-78, -42, -37, 4, -31, 32, 61, 92]

Pass 4:
  Compare -78 and -42
  No swap needed
  Compare -42 and -37
  No swap needed
  Compare -37 and 4
  No swap needed
  Compare 4 and -31
  Swap 4 and -31
  List after swap: [-78, -42, -37, -31, 4, 32, 61, 92]

Pass 5:
  Compare -78 and -42
  No swap needed
  Compare -42 and -37
  No swap needed
  Compare -37 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -42, -37, -31, 4, 32, 61, 92]
</think>

<response>-78, -42, -37, -31, 4, 32, 61, 92</response>


input: Sort these integers -55, 88, 60, -7, -13, -68, -91, 23, 99 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-55, 88, 60, -7, -13, -68, -91, 23, 99]

Pass 1:
  Compare -55 and 88
  No swap needed
  Compare 88 and 60
  Swap 88 and 60
  List after swap: [-55, 60, 88, -7, -13, -68, -91, 23, 99]
  Compare 88 and -7
  Swap 88 and -7
  List after swap: [-55, 60, -7, 88, -13, -68, -91, 23, 99]
  Compare 88 and -13
  Swap 88 and -13
  List after swap: [-55, 60, -7, -13, 88, -68, -91, 23, 99]
  Compare 88 and -68
  Swap 88 and -68
  List after swap: [-55, 60, -7, -13, -68, 88, -91, 23, 99]
  Compare 88 and -91
  Swap 88 and -91
  List after swap: [-55, 60, -7, -13, -68, -91, 88, 23, 99]
  Compare 88 and 23
  Swap 88 and 23
  List after swap: [-55, 60, -7, -13, -68, -91, 23, 88, 99]
  Compare 88 and 99
  No swap needed

Pass 2:
  Compare -55 and 60
  No swap needed
  Compare 60 and -7
  Swap 60 and -7
  List after swap: [-55, -7, 60, -13, -68, -91, 23, 88, 99]
  Compare 60 and -13
  Swap 60 and -13
  List after swap: [-55, -7, -13, 60, -68, -91, 23, 88, 99]
  Compare 60 and -68
  Swap 60 and -68
  List after swap: [-55, -7, -13, -68, 60, -91, 23, 88, 99]
  Compare 60 and -91
  Swap 60 and -91
  List after swap: [-55, -7, -13, -68, -91, 60, 23, 88, 99]
  Compare 60 and 23
  Swap 60 and 23
  List after swap: [-55, -7, -13, -68, -91, 23, 60, 88, 99]
  Compare 60 and 88
  No swap needed

Pass 3:
  Compare -55 and -7
  No swap needed
  Compare -7 and -13
  Swap -7 and -13
  List after swap: [-55, -13, -7, -68, -91, 23, 60, 88, 99]
  Compare -7 and -68
  Swap -7 and -68
  List after swap: [-55, -13, -68, -7, -91, 23, 60, 88, 99]
  Compare -7 and -91
  Swap -7 and -91
  List after swap: [-55, -13, -68, -91, -7, 23, 60, 88, 99]
  Compare -7 and 23
  No swap needed
  Compare 23 and 60
  No swap needed

Pass 4:
  Compare -55 and -13
  No swap needed
  Compare -13 and -68
  Swap -13 and -68
  List after swap: [-55, -68, -13, -91, -7, 23, 60, 88, 99]
  Compare -13 and -91
  Swap -13 and -91
  List after swap: [-55, -68, -91, -13, -7, 23, 60, 88, 99]
  Compare -13 and -7
  No swap needed
  Compare -7 and 23
  No swap needed

Pass 5:
  Compare -55 and -68
  Swap -55 and -68
  List after swap: [-68, -55, -91, -13, -7, 23, 60, 88, 99]
  Compare -55 and -91
  Swap -55 and -91
  List after swap: [-68, -91, -55, -13, -7, 23, 60, 88, 99]
  Compare -55 and -13
  No swap needed
  Compare -13 and -7
  No swap needed

Pass 6:
  Compare -68 and -91
  Swap -68 and -91
  List after swap: [-91, -68, -55, -13, -7, 23, 60, 88, 99]
  Compare -68 and -55
  No swap needed
  Compare -55 and -13
  No swap needed

Pass 7:
  Compare -91 and -68
  No swap needed
  Compare -68 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -68, -55, -13, -7, 23, 60, 88, 99]
</think>

<response>-91, -68, -55, -13, -7, 23, 60, 88, 99</response>


input: Perform a bubble sort on the integers -32, 86, 31, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-32, 86, 31]

Pass 1:
  Compare -32 and 86
  No swap needed
  Compare 86 and 31
  Swap 86 and 31
  List after swap: [-32, 31, 86]

Pass 2:
  Compare -32 and 31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-32, 31, 86]
</think>

<response>-32, 31, 86</response>


input: Execute bubble sort to sort 71, -40, 85, -69, 4, -58, 23, 42 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [71, -40, 85, -69, 4, -58, 23, 42]

Pass 1:
  Compare 71 and -40
  Swap 71 and -40
  List after swap: [-40, 71, 85, -69, 4, -58, 23, 42]
  Compare 71 and 85
  No swap needed
  Compare 85 and -69
  Swap 85 and -69
  List after swap: [-40, 71, -69, 85, 4, -58, 23, 42]
  Compare 85 and 4
  Swap 85 and 4
  List after swap: [-40, 71, -69, 4, 85, -58, 23, 42]
  Compare 85 and -58
  Swap 85 and -58
  List after swap: [-40, 71, -69, 4, -58, 85, 23, 42]
  Compare 85 and 23
  Swap 85 and 23
  List after swap: [-40, 71, -69, 4, -58, 23, 85, 42]
  Compare 85 and 42
  Swap 85 and 42
  List after swap: [-40, 71, -69, 4, -58, 23, 42, 85]

Pass 2:
  Compare -40 and 71
  No swap needed
  Compare 71 and -69
  Swap 71 and -69
  List after swap: [-40, -69, 71, 4, -58, 23, 42, 85]
  Compare 71 and 4
  Swap 71 and 4
  List after swap: [-40, -69, 4, 71, -58, 23, 42, 85]
  Compare 71 and -58
  Swap 71 and -58
  List after swap: [-40, -69, 4, -58, 71, 23, 42, 85]
  Compare 71 and 23
  Swap 71 and 23
  List after swap: [-40, -69, 4, -58, 23, 71, 42, 85]
  Compare 71 and 42
  Swap 71 and 42
  List after swap: [-40, -69, 4, -58, 23, 42, 71, 85]

Pass 3:
  Compare -40 and -69
  Swap -40 and -69
  List after swap: [-69, -40, 4, -58, 23, 42, 71, 85]
  Compare -40 and 4
  No swap needed
  Compare 4 and -58
  Swap 4 and -58
  List after swap: [-69, -40, -58, 4, 23, 42, 71, 85]
  Compare 4 and 23
  No swap needed
  Compare 23 and 42
  No swap needed

Pass 4:
  Compare -69 and -40
  No swap needed
  Compare -40 and -58
  Swap -40 and -58
  List after swap: [-69, -58, -40, 4, 23, 42, 71, 85]
  Compare -40 and 4
  No swap needed
  Compare 4 and 23
  No swap needed

Pass 5:
  Compare -69 and -58
  No swap needed
  Compare -58 and -40
  No swap needed
  Compare -40 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -58, -40, 4, 23, 42, 71, 85]
</think>

<response>-69, -58, -40, 4, 23, 42, 71, 85</response>


input: Sort these integers -79, -31, -69 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-79, -31, -69]

Pass 1:
  Compare -79 and -31
  No swap needed
  Compare -31 and -69
  Swap -31 and -69
  List after swap: [-79, -69, -31]

Pass 2:
  Compare -79 and -69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -69, -31]
</think>

<response>-79, -69, -31</response>


input: Implement bubble sort on -75, 57, 18, 79 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-75, 57, 18, 79]

Pass 1:
  Compare -75 and 57
  No swap needed
  Compare 57 and 18
  Swap 57 and 18
  List after swap: [-75, 18, 57, 79]
  Compare 57 and 79
  No swap needed

Pass 2:
  Compare -75 and 18
  No swap needed
  Compare 18 and 57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, 18, 57, 79]
</think>

<response>-75, 18, 57, 79</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 65, -73.

output:
<think>
Initial list: [65, -73]

Pass 1:
  Compare 65 and -73
  Swap 65 and -73
  List after swap: [-73, 65]

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

Final sorted list: [-73, 65]
</think>

<response>-73, 65</response>


input: Use the bubble sort technique to reorder 31, -95 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [31, -95]

Pass 1:
  Compare 31 and -95
  Swap 31 and -95
  List after swap: [-95, 31]

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

Final sorted list: [-95, 31]
</think>

<response>-95, 31</response>


input: Use the bubble sort technique to reorder -78, 85, 39, 20, 72, -51, 77 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-78, 85, 39, 20, 72, -51, 77]

Pass 1:
  Compare -78 and 85
  No swap needed
  Compare 85 and 39
  Swap 85 and 39
  List after swap: [-78, 39, 85, 20, 72, -51, 77]
  Compare 85 and 20
  Swap 85 and 20
  List after swap: [-78, 39, 20, 85, 72, -51, 77]
  Compare 85 and 72
  Swap 85 and 72
  List after swap: [-78, 39, 20, 72, 85, -51, 77]
  Compare 85 and -51
  Swap 85 and -51
  List after swap: [-78, 39, 20, 72, -51, 85, 77]
  Compare 85 and 77
  Swap 85 and 77
  List after swap: [-78, 39, 20, 72, -51, 77, 85]

Pass 2:
  Compare -78 and 39
  No swap needed
  Compare 39 and 20
  Swap 39 and 20
  List after swap: [-78, 20, 39, 72, -51, 77, 85]
  Compare 39 and 72
  No swap needed
  Compare 72 and -51
  Swap 72 and -51
  List after swap: [-78, 20, 39, -51, 72, 77, 85]
  Compare 72 and 77
  No swap needed

Pass 3:
  Compare -78 and 20
  No swap needed
  Compare 20 and 39
  No swap needed
  Compare 39 and -51
  Swap 39 and -51
  List after swap: [-78, 20, -51, 39, 72, 77, 85]
  Compare 39 and 72
  No swap needed

Pass 4:
  Compare -78 and 20
  No swap needed
  Compare 20 and -51
  Swap 20 and -51
  List after swap: [-78, -51, 20, 39, 72, 77, 85]
  Compare 20 and 39
  No swap needed

Pass 5:
  Compare -78 and -51
  No swap needed
  Compare -51 and 20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -51, 20, 39, 72, 77, 85]
</think>

<response>-78, -51, 20, 39, 72, 77, 85</response>


input: Execute bubble sort to sort 26, 61, -5, 12, 0, -100, 44, 25, 37, 52 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [26, 61, -5, 12, 0, -100, 44, 25, 37, 52]

Pass 1:
  Compare 26 and 61
  No swap needed
  Compare 61 and -5
  Swap 61 and -5
  List after swap: [26, -5, 61, 12, 0, -100, 44, 25, 37, 52]
  Compare 61 and 12
  Swap 61 and 12
  List after swap: [26, -5, 12, 61, 0, -100, 44, 25, 37, 52]
  Compare 61 and 0
  Swap 61 and 0
  List after swap: [26, -5, 12, 0, 61, -100, 44, 25, 37, 52]
  Compare 61 and -100
  Swap 61 and -100
  List after swap: [26, -5, 12, 0, -100, 61, 44, 25, 37, 52]
  Compare 61 and 44
  Swap 61 and 44
  List after swap: [26, -5, 12, 0, -100, 44, 61, 25, 37, 52]
  Compare 61 and 25
  Swap 61 and 25
  List after swap: [26, -5, 12, 0, -100, 44, 25, 61, 37, 52]
  Compare 61 and 37
  Swap 61 and 37
  List after swap: [26, -5, 12, 0, -100, 44, 25, 37, 61, 52]
  Compare 61 and 52
  Swap 61 and 52
  List after swap: [26, -5, 12, 0, -100, 44, 25, 37, 52, 61]

Pass 2:
  Compare 26 and -5
  Swap 26 and -5
  List after swap: [-5, 26, 12, 0, -100, 44, 25, 37, 52, 61]
  Compare 26 and 12
  Swap 26 and 12
  List after swap: [-5, 12, 26, 0, -100, 44, 25, 37, 52, 61]
  Compare 26 and 0
  Swap 26 and 0
  List after swap: [-5, 12, 0, 26, -100, 44, 25, 37, 52, 61]
  Compare 26 and -100
  Swap 26 and -100
  List after swap: [-5, 12, 0, -100, 26, 44, 25, 37, 52, 61]
  Compare 26 and 44
  No swap needed
  Compare 44 and 25
  Swap 44 and 25
  List after swap: [-5, 12, 0, -100, 26, 25, 44, 37, 52, 61]
  Compare 44 and 37
  Swap 44 and 37
  List after swap: [-5, 12, 0, -100, 26, 25, 37, 44, 52, 61]
  Compare 44 and 52
  No swap needed

Pass 3:
  Compare -5 and 12
  No swap needed
  Compare 12 and 0
  Swap 12 and 0
  List after swap: [-5, 0, 12, -100, 26, 25, 37, 44, 52, 61]
  Compare 12 and -100
  Swap 12 and -100
  List after swap: [-5, 0, -100, 12, 26, 25, 37, 44, 52, 61]
  Compare 12 and 26
  No swap needed
  Compare 26 and 25
  Swap 26 and 25
  List after swap: [-5, 0, -100, 12, 25, 26, 37, 44, 52, 61]
  Compare 26 and 37
  No swap needed
  Compare 37 and 44
  No swap needed

Pass 4:
  Compare -5 and 0
  No swap needed
  Compare 0 and -100
  Swap 0 and -100
  List after swap: [-5, -100, 0, 12, 25, 26, 37, 44, 52, 61]
  Compare 0 and 12
  No swap needed
  Compare 12 and 25
  No swap needed
  Compare 25 and 26
  No swap needed
  Compare 26 and 37
  No swap needed

Pass 5:
  Compare -5 and -100
  Swap -5 and -100
  List after swap: [-100, -5, 0, 12, 25, 26, 37, 44, 52, 61]
  Compare -5 and 0
  No swap needed
  Compare 0 and 12
  No swap needed
  Compare 12 and 25
  No swap needed
  Compare 25 and 26
  No swap needed

Pass 6:
  Compare -100 and -5
  No swap needed
  Compare -5 and 0
  No swap needed
  Compare 0 and 12
  No swap needed
  Compare 12 and 25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -5, 0, 12, 25, 26, 37, 44, 52, 61]
</think>

<response>-100, -5, 0, 12, 25, 26, 37, 44, 52, 61</response>


input: Sort these integers -65, 15, -10, 21, -45, 41, 69, -92, -28 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-65, 15, -10, 21, -45, 41, 69, -92, -28]

Pass 1:
  Compare -65 and 15
  No swap needed
  Compare 15 and -10
  Swap 15 and -10
  List after swap: [-65, -10, 15, 21, -45, 41, 69, -92, -28]
  Compare 15 and 21
  No swap needed
  Compare 21 and -45
  Swap 21 and -45
  List after swap: [-65, -10, 15, -45, 21, 41, 69, -92, -28]
  Compare 21 and 41
  No swap needed
  Compare 41 and 69
  No swap needed
  Compare 69 and -92
  Swap 69 and -92
  List after swap: [-65, -10, 15, -45, 21, 41, -92, 69, -28]
  Compare 69 and -28
  Swap 69 and -28
  List after swap: [-65, -10, 15, -45, 21, 41, -92, -28, 69]

Pass 2:
  Compare -65 and -10
  No swap needed
  Compare -10 and 15
  No swap needed
  Compare 15 and -45
  Swap 15 and -45
  List after swap: [-65, -10, -45, 15, 21, 41, -92, -28, 69]
  Compare 15 and 21
  No swap needed
  Compare 21 and 41
  No swap needed
  Compare 41 and -92
  Swap 41 and -92
  List after swap: [-65, -10, -45, 15, 21, -92, 41, -28, 69]
  Compare 41 and -28
  Swap 41 and -28
  List after swap: [-65, -10, -45, 15, 21, -92, -28, 41, 69]

Pass 3:
  Compare -65 and -10
  No swap needed
  Compare -10 and -45
  Swap -10 and -45
  List after swap: [-65, -45, -10, 15, 21, -92, -28, 41, 69]
  Compare -10 and 15
  No swap needed
  Compare 15 and 21
  No swap needed
  Compare 21 and -92
  Swap 21 and -92
  List after swap: [-65, -45, -10, 15, -92, 21, -28, 41, 69]
  Compare 21 and -28
  Swap 21 and -28
  List after swap: [-65, -45, -10, 15, -92, -28, 21, 41, 69]

Pass 4:
  Compare -65 and -45
  No swap needed
  Compare -45 and -10
  No swap needed
  Compare -10 and 15
  No swap needed
  Compare 15 and -92
  Swap 15 and -92
  List after swap: [-65, -45, -10, -92, 15, -28, 21, 41, 69]
  Compare 15 and -28
  Swap 15 and -28
  List after swap: [-65, -45, -10, -92, -28, 15, 21, 41, 69]

Pass 5:
  Compare -65 and -45
  No swap needed
  Compare -45 and -10
  No swap needed
  Compare -10 and -92
  Swap -10 and -92
  List after swap: [-65, -45, -92, -10, -28, 15, 21, 41, 69]
  Compare -10 and -28
  Swap -10 and -28
  List after swap: [-65, -45, -92, -28, -10, 15, 21, 41, 69]

Pass 6:
  Compare -65 and -45
  No swap needed
  Compare -45 and -92
  Swap -45 and -92
  List after swap: [-65, -92, -45, -28, -10, 15, 21, 41, 69]
  Compare -45 and -28
  No swap needed

Pass 7:
  Compare -65 and -92
  Swap -65 and -92
  List after swap: [-92, -65, -45, -28, -10, 15, 21, 41, 69]
  Compare -65 and -45
  No swap needed

Pass 8:
  Compare -92 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -65, -45, -28, -10, 15, 21, 41, 69]
</think>

<response>-92, -65, -45, -28, -10, 15, 21, 41, 69</response>


input: Use the bubble sort technique to reorder -87, 33, 71, 35, 18 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-87, 33, 71, 35, 18]

Pass 1:
  Compare -87 and 33
  No swap needed
  Compare 33 and 71
  No swap needed
  Compare 71 and 35
  Swap 71 and 35
  List after swap: [-87, 33, 35, 71, 18]
  Compare 71 and 18
  Swap 71 and 18
  List after swap: [-87, 33, 35, 18, 71]

Pass 2:
  Compare -87 and 33
  No swap needed
  Compare 33 and 35
  No swap needed
  Compare 35 and 18
  Swap 35 and 18
  List after swap: [-87, 33, 18, 35, 71]

Pass 3:
  Compare -87 and 33
  No swap needed
  Compare 33 and 18
  Swap 33 and 18
  List after swap: [-87, 18, 33, 35, 71]

Pass 4:
  Compare -87 and 18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, 18, 33, 35, 71]
</think>

<response>-87, 18, 33, 35, 71</response>


input: Carry out the bubble sort algorithm on -63, 44, -86, -22, -27, 39, 93, 18, -52, 41 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-63, 44, -86, -22, -27, 39, 93, 18, -52, 41]

Pass 1:
  Compare -63 and 44
  No swap needed
  Compare 44 and -86
  Swap 44 and -86
  List after swap: [-63, -86, 44, -22, -27, 39, 93, 18, -52, 41]
  Compare 44 and -22
  Swap 44 and -22
  List after swap: [-63, -86, -22, 44, -27, 39, 93, 18, -52, 41]
  Compare 44 and -27
  Swap 44 and -27
  List after swap: [-63, -86, -22, -27, 44, 39, 93, 18, -52, 41]
  Compare 44 and 39
  Swap 44 and 39
  List after swap: [-63, -86, -22, -27, 39, 44, 93, 18, -52, 41]
  Compare 44 and 93
  No swap needed
  Compare 93 and 18
  Swap 93 and 18
  List after swap: [-63, -86, -22, -27, 39, 44, 18, 93, -52, 41]
  Compare 93 and -52
  Swap 93 and -52
  List after swap: [-63, -86, -22, -27, 39, 44, 18, -52, 93, 41]
  Compare 93 and 41
  Swap 93 and 41
  List after swap: [-63, -86, -22, -27, 39, 44, 18, -52, 41, 93]

Pass 2:
  Compare -63 and -86
  Swap -63 and -86
  List after swap: [-86, -63, -22, -27, 39, 44, 18, -52, 41, 93]
  Compare -63 and -22
  No swap needed
  Compare -22 and -27
  Swap -22 and -27
  List after swap: [-86, -63, -27, -22, 39, 44, 18, -52, 41, 93]
  Compare -22 and 39
  No swap needed
  Compare 39 and 44
  No swap needed
  Compare 44 and 18
  Swap 44 and 18
  List after swap: [-86, -63, -27, -22, 39, 18, 44, -52, 41, 93]
  Compare 44 and -52
  Swap 44 and -52
  List after swap: [-86, -63, -27, -22, 39, 18, -52, 44, 41, 93]
  Compare 44 and 41
  Swap 44 and 41
  List after swap: [-86, -63, -27, -22, 39, 18, -52, 41, 44, 93]

Pass 3:
  Compare -86 and -63
  No swap needed
  Compare -63 and -27
  No swap needed
  Compare -27 and -22
  No swap needed
  Compare -22 and 39
  No swap needed
  Compare 39 and 18
  Swap 39 and 18
  List after swap: [-86, -63, -27, -22, 18, 39, -52, 41, 44, 93]
  Compare 39 and -52
  Swap 39 and -52
  List after swap: [-86, -63, -27, -22, 18, -52, 39, 41, 44, 93]
  Compare 39 and 41
  No swap needed

Pass 4:
  Compare -86 and -63
  No swap needed
  Compare -63 and -27
  No swap needed
  Compare -27 and -22
  No swap needed
  Compare -22 and 18
  No swap needed
  Compare 18 and -52
  Swap 18 and -52
  List after swap: [-86, -63, -27, -22, -52, 18, 39, 41, 44, 93]
  Compare 18 and 39
  No swap needed

Pass 5:
  Compare -86 and -63
  No swap needed
  Compare -63 and -27
  No swap needed
  Compare -27 and -22
  No swap needed
  Compare -22 and -52
  Swap -22 and -52
  List after swap: [-86, -63, -27, -52, -22, 18, 39, 41, 44, 93]
  Compare -22 and 18
  No swap needed

Pass 6:
  Compare -86 and -63
  No swap needed
  Compare -63 and -27
  No swap needed
  Compare -27 and -52
  Swap -27 and -52
  List after swap: [-86, -63, -52, -27, -22, 18, 39, 41, 44, 93]
  Compare -27 and -22
  No swap needed

Pass 7:
  Compare -86 and -63
  No swap needed
  Compare -63 and -52
  No swap needed
  Compare -52 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -63, -52, -27, -22, 18, 39, 41, 44, 93]
</think>

<response>-86, -63, -52, -27, -22, 18, 39, 41, 44, 93</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -37, 77, -13, 45, -38, 16.

output:
<think>
Initial list: [-37, 77, -13, 45, -38, 16]

Pass 1:
  Compare -37 and 77
  No swap needed
  Compare 77 and -13
  Swap 77 and -13
  List after swap: [-37, -13, 77, 45, -38, 16]
  Compare 77 and 45
  Swap 77 and 45
  List after swap: [-37, -13, 45, 77, -38, 16]
  Compare 77 and -38
  Swap 77 and -38
  List after swap: [-37, -13, 45, -38, 77, 16]
  Compare 77 and 16
  Swap 77 and 16
  List after swap: [-37, -13, 45, -38, 16, 77]

Pass 2:
  Compare -37 and -13
  No swap needed
  Compare -13 and 45
  No swap needed
  Compare 45 and -38
  Swap 45 and -38
  List after swap: [-37, -13, -38, 45, 16, 77]
  Compare 45 and 16
  Swap 45 and 16
  List after swap: [-37, -13, -38, 16, 45, 77]

Pass 3:
  Compare -37 and -13
  No swap needed
  Compare -13 and -38
  Swap -13 and -38
  List after swap: [-37, -38, -13, 16, 45, 77]
  Compare -13 and 16
  No swap needed

Pass 4:
  Compare -37 and -38
  Swap -37 and -38
  List after swap: [-38, -37, -13, 16, 45, 77]
  Compare -37 and -13
  No swap needed

Pass 5:
  Compare -38 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-38, -37, -13, 16, 45, 77]
</think>

<response>-38, -37, -13, 16, 45, 77</response>


input: Arrange the numbers -35, -49, -92, 47, -93, 95, 75, -67, 15 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-35, -49, -92, 47, -93, 95, 75, -67, 15]

Pass 1:
  Compare -35 and -49
  Swap -35 and -49
  List after swap: [-49, -35, -92, 47, -93, 95, 75, -67, 15]
  Compare -35 and -92
  Swap -35 and -92
  List after swap: [-49, -92, -35, 47, -93, 95, 75, -67, 15]
  Compare -35 and 47
  No swap needed
  Compare 47 and -93
  Swap 47 and -93
  List after swap: [-49, -92, -35, -93, 47, 95, 75, -67, 15]
  Compare 47 and 95
  No swap needed
  Compare 95 and 75
  Swap 95 and 75
  List after swap: [-49, -92, -35, -93, 47, 75, 95, -67, 15]
  Compare 95 and -67
  Swap 95 and -67
  List after swap: [-49, -92, -35, -93, 47, 75, -67, 95, 15]
  Compare 95 and 15
  Swap 95 and 15
  List after swap: [-49, -92, -35, -93, 47, 75, -67, 15, 95]

Pass 2:
  Compare -49 and -92
  Swap -49 and -92
  List after swap: [-92, -49, -35, -93, 47, 75, -67, 15, 95]
  Compare -49 and -35
  No swap needed
  Compare -35 and -93
  Swap -35 and -93
  List after swap: [-92, -49, -93, -35, 47, 75, -67, 15, 95]
  Compare -35 and 47
  No swap needed
  Compare 47 and 75
  No swap needed
  Compare 75 and -67
  Swap 75 and -67
  List after swap: [-92, -49, -93, -35, 47, -67, 75, 15, 95]
  Compare 75 and 15
  Swap 75 and 15
  List after swap: [-92, -49, -93, -35, 47, -67, 15, 75, 95]

Pass 3:
  Compare -92 and -49
  No swap needed
  Compare -49 and -93
  Swap -49 and -93
  List after swap: [-92, -93, -49, -35, 47, -67, 15, 75, 95]
  Compare -49 and -35
  No swap needed
  Compare -35 and 47
  No swap needed
  Compare 47 and -67
  Swap 47 and -67
  List after swap: [-92, -93, -49, -35, -67, 47, 15, 75, 95]
  Compare 47 and 15
  Swap 47 and 15
  List after swap: [-92, -93, -49, -35, -67, 15, 47, 75, 95]

Pass 4:
  Compare -92 and -93
  Swap -92 and -93
  List after swap: [-93, -92, -49, -35, -67, 15, 47, 75, 95]
  Compare -92 and -49
  No swap needed
  Compare -49 and -35
  No swap needed
  Compare -35 and -67
  Swap -35 and -67
  List after swap: [-93, -92, -49, -67, -35, 15, 47, 75, 95]
  Compare -35 and 15
  No swap needed

Pass 5:
  Compare -93 and -92
  No swap needed
  Compare -92 and -49
  No swap needed
  Compare -49 and -67
  Swap -49 and -67
  List after swap: [-93, -92, -67, -49, -35, 15, 47, 75, 95]
  Compare -49 and -35
  No swap needed

Pass 6:
  Compare -93 and -92
  No swap needed
  Compare -92 and -67
  No swap needed
  Compare -67 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -92, -67, -49, -35, 15, 47, 75, 95]
</think>

<response>-93, -92, -67, -49, -35, 15, 47, 75, 95</response>


input: Demonstrate how bubble sort orders the integers -98, -40, -37, 65, -65, 15 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-98, -40, -37, 65, -65, 15]

Pass 1:
  Compare -98 and -40
  No swap needed
  Compare -40 and -37
  No swap needed
  Compare -37 and 65
  No swap needed
  Compare 65 and -65
  Swap 65 and -65
  List after swap: [-98, -40, -37, -65, 65, 15]
  Compare 65 and 15
  Swap 65 and 15
  List after swap: [-98, -40, -37, -65, 15, 65]

Pass 2:
  Compare -98 and -40
  No swap needed
  Compare -40 and -37
  No swap needed
  Compare -37 and -65
  Swap -37 and -65
  List after swap: [-98, -40, -65, -37, 15, 65]
  Compare -37 and 15
  No swap needed

Pass 3:
  Compare -98 and -40
  No swap needed
  Compare -40 and -65
  Swap -40 and -65
  List after swap: [-98, -65, -40, -37, 15, 65]
  Compare -40 and -37
  No swap needed

Pass 4:
  Compare -98 and -65
  No swap needed
  Compare -65 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -65, -40, -37, 15, 65]
</think>

<response>-98, -65, -40, -37, 15, 65</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 89, -86, -82, 35, -74, 37, -89.

output:
<think>
Initial list: [89, -86, -82, 35, -74, 37, -89]

Pass 1:
  Compare 89 and -86
  Swap 89 and -86
  List after swap: [-86, 89, -82, 35, -74, 37, -89]
  Compare 89 and -82
  Swap 89 and -82
  List after swap: [-86, -82, 89, 35, -74, 37, -89]
  Compare 89 and 35
  Swap 89 and 35
  List after swap: [-86, -82, 35, 89, -74, 37, -89]
  Compare 89 and -74
  Swap 89 and -74
  List after swap: [-86, -82, 35, -74, 89, 37, -89]
  Compare 89 and 37
  Swap 89 and 37
  List after swap: [-86, -82, 35, -74, 37, 89, -89]
  Compare 89 and -89
  Swap 89 and -89
  List after swap: [-86, -82, 35, -74, 37, -89, 89]

Pass 2:
  Compare -86 and -82
  No swap needed
  Compare -82 and 35
  No swap needed
  Compare 35 and -74
  Swap 35 and -74
  List after swap: [-86, -82, -74, 35, 37, -89, 89]
  Compare 35 and 37
  No swap needed
  Compare 37 and -89
  Swap 37 and -89
  List after swap: [-86, -82, -74, 35, -89, 37, 89]

Pass 3:
  Compare -86 and -82
  No swap needed
  Compare -82 and -74
  No swap needed
  Compare -74 and 35
  No swap needed
  Compare 35 and -89
  Swap 35 and -89
  List after swap: [-86, -82, -74, -89, 35, 37, 89]

Pass 4:
  Compare -86 and -82
  No swap needed
  Compare -82 and -74
  No swap needed
  Compare -74 and -89
  Swap -74 and -89
  List after swap: [-86, -82, -89, -74, 35, 37, 89]

Pass 5:
  Compare -86 and -82
  No swap needed
  Compare -82 and -89
  Swap -82 and -89
  List after swap: [-86, -89, -82, -74, 35, 37, 89]

Pass 6:
  Compare -86 and -89
  Swap -86 and -89
  List after swap: [-89, -86, -82, -74, 35, 37, 89]

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

Final sorted list: [-89, -86, -82, -74, 35, 37, 89]
</think>

<response>-89, -86, -82, -74, 35, 37, 89</response>


input: Use the bubble sort technique to reorder 82, -18, -50, 30, -2 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [82, -18, -50, 30, -2]

Pass 1:
  Compare 82 and -18
  Swap 82 and -18
  List after swap: [-18, 82, -50, 30, -2]
  Compare 82 and -50
  Swap 82 and -50
  List after swap: [-18, -50, 82, 30, -2]
  Compare 82 and 30
  Swap 82 and 30
  List after swap: [-18, -50, 30, 82, -2]
  Compare 82 and -2
  Swap 82 and -2
  List after swap: [-18, -50, 30, -2, 82]

Pass 2:
  Compare -18 and -50
  Swap -18 and -50
  List after swap: [-50, -18, 30, -2, 82]
  Compare -18 and 30
  No swap needed
  Compare 30 and -2
  Swap 30 and -2
  List after swap: [-50, -18, -2, 30, 82]

Pass 3:
  Compare -50 and -18
  No swap needed
  Compare -18 and -2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, -18, -2, 30, 82]
</think>

<response>-50, -18, -2, 30, 82</response>


input: Sort the list -31, 84, -8, 56 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-31, 84, -8, 56]

Pass 1:
  Compare -31 and 84
  No swap needed
  Compare 84 and -8
  Swap 84 and -8
  List after swap: [-31, -8, 84, 56]
  Compare 84 and 56
  Swap 84 and 56
  List after swap: [-31, -8, 56, 84]

Pass 2:
  Compare -31 and -8
  No swap needed
  Compare -8 and 56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-31, -8, 56, 84]
</think>

<response>-31, -8, 56, 84</response>


input: Using the bubble sort method, sort -50, -87, 64, -49, 90, -96 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-50, -87, 64, -49, 90, -96]

Pass 1:
  Compare -50 and -87
  Swap -50 and -87
  List after swap: [-87, -50, 64, -49, 90, -96]
  Compare -50 and 64
  No swap needed
  Compare 64 and -49
  Swap 64 and -49
  List after swap: [-87, -50, -49, 64, 90, -96]
  Compare 64 and 90
  No swap needed
  Compare 90 and -96
  Swap 90 and -96
  List after swap: [-87, -50, -49, 64, -96, 90]

Pass 2:
  Compare -87 and -50
  No swap needed
  Compare -50 and -49
  No swap needed
  Compare -49 and 64
  No swap needed
  Compare 64 and -96
  Swap 64 and -96
  List after swap: [-87, -50, -49, -96, 64, 90]

Pass 3:
  Compare -87 and -50
  No swap needed
  Compare -50 and -49
  No swap needed
  Compare -49 and -96
  Swap -49 and -96
  List after swap: [-87, -50, -96, -49, 64, 90]

Pass 4:
  Compare -87 and -50
  No swap needed
  Compare -50 and -96
  Swap -50 and -96
  List after swap: [-87, -96, -50, -49, 64, 90]

Pass 5:
  Compare -87 and -96
  Swap -87 and -96
  List after swap: [-96, -87, -50, -49, 64, 90]

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

Final sorted list: [-96, -87, -50, -49, 64, 90]
</think>

<response>-96, -87, -50, -49, 64, 90</response>


input: Execute bubble sort to sort -5, -76, -26, 41, 24, -88, -2, 22, 77, -66 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-5, -76, -26, 41, 24, -88, -2, 22, 77, -66]

Pass 1:
  Compare -5 and -76
  Swap -5 and -76
  List after swap: [-76, -5, -26, 41, 24, -88, -2, 22, 77, -66]
  Compare -5 and -26
  Swap -5 and -26
  List after swap: [-76, -26, -5, 41, 24, -88, -2, 22, 77, -66]
  Compare -5 and 41
  No swap needed
  Compare 41 and 24
  Swap 41 and 24
  List after swap: [-76, -26, -5, 24, 41, -88, -2, 22, 77, -66]
  Compare 41 and -88
  Swap 41 and -88
  List after swap: [-76, -26, -5, 24, -88, 41, -2, 22, 77, -66]
  Compare 41 and -2
  Swap 41 and -2
  List after swap: [-76, -26, -5, 24, -88, -2, 41, 22, 77, -66]
  Compare 41 and 22
  Swap 41 and 22
  List after swap: [-76, -26, -5, 24, -88, -2, 22, 41, 77, -66]
  Compare 41 and 77
  No swap needed
  Compare 77 and -66
  Swap 77 and -66
  List after swap: [-76, -26, -5, 24, -88, -2, 22, 41, -66, 77]

Pass 2:
  Compare -76 and -26
  No swap needed
  Compare -26 and -5
  No swap needed
  Compare -5 and 24
  No swap needed
  Compare 24 and -88
  Swap 24 and -88
  List after swap: [-76, -26, -5, -88, 24, -2, 22, 41, -66, 77]
  Compare 24 and -2
  Swap 24 and -2
  List after swap: [-76, -26, -5, -88, -2, 24, 22, 41, -66, 77]
  Compare 24 and 22
  Swap 24 and 22
  List after swap: [-76, -26, -5, -88, -2, 22, 24, 41, -66, 77]
  Compare 24 and 41
  No swap needed
  Compare 41 and -66
  Swap 41 and -66
  List after swap: [-76, -26, -5, -88, -2, 22, 24, -66, 41, 77]

Pass 3:
  Compare -76 and -26
  No swap needed
  Compare -26 and -5
  No swap needed
  Compare -5 and -88
  Swap -5 and -88
  List after swap: [-76, -26, -88, -5, -2, 22, 24, -66, 41, 77]
  Compare -5 and -2
  No swap needed
  Compare -2 and 22
  No swap needed
  Compare 22 and 24
  No swap needed
  Compare 24 and -66
  Swap 24 and -66
  List after swap: [-76, -26, -88, -5, -2, 22, -66, 24, 41, 77]

Pass 4:
  Compare -76 and -26
  No swap needed
  Compare -26 and -88
  Swap -26 and -88
  List after swap: [-76, -88, -26, -5, -2, 22, -66, 24, 41, 77]
  Compare -26 and -5
  No swap needed
  Compare -5 and -2
  No swap needed
  Compare -2 and 22
  No swap needed
  Compare 22 and -66
  Swap 22 and -66
  List after swap: [-76, -88, -26, -5, -2, -66, 22, 24, 41, 77]

Pass 5:
  Compare -76 and -88
  Swap -76 and -88
  List after swap: [-88, -76, -26, -5, -2, -66, 22, 24, 41, 77]
  Compare -76 and -26
  No swap needed
  Compare -26 and -5
  No swap needed
  Compare -5 and -2
  No swap needed
  Compare -2 and -66
  Swap -2 and -66
  List after swap: [-88, -76, -26, -5, -66, -2, 22, 24, 41, 77]

Pass 6:
  Compare -88 and -76
  No swap needed
  Compare -76 and -26
  No swap needed
  Compare -26 and -5
  No swap needed
  Compare -5 and -66
  Swap -5 and -66
  List after swap: [-88, -76, -26, -66, -5, -2, 22, 24, 41, 77]

Pass 7:
  Compare -88 and -76
  No swap needed
  Compare -76 and -26
  No swap needed
  Compare -26 and -66
  Swap -26 and -66
  List after swap: [-88, -76, -66, -26, -5, -2, 22, 24, 41, 77]

Pass 8:
  Compare -88 and -76
  No swap needed
  Compare -76 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -76, -66, -26, -5, -2, 22, 24, 41, 77]
</think>

<response>-88, -76, -66, -26, -5, -2, 22, 24, 41, 77</response>


input: Arrange the numbers 8, 55, 1, 12, 52, -60 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [8, 55, 1, 12, 52, -60]

Pass 1:
  Compare 8 and 55
  No swap needed
  Compare 55 and 1
  Swap 55 and 1
  List after swap: [8, 1, 55, 12, 52, -60]
  Compare 55 and 12
  Swap 55 and 12
  List after swap: [8, 1, 12, 55, 52, -60]
  Compare 55 and 52
  Swap 55 and 52
  List after swap: [8, 1, 12, 52, 55, -60]
  Compare 55 and -60
  Swap 55 and -60
  List after swap: [8, 1, 12, 52, -60, 55]

Pass 2:
  Compare 8 and 1
  Swap 8 and 1
  List after swap: [1, 8, 12, 52, -60, 55]
  Compare 8 and 12
  No swap needed
  Compare 12 and 52
  No swap needed
  Compare 52 and -60
  Swap 52 and -60
  List after swap: [1, 8, 12, -60, 52, 55]

Pass 3:
  Compare 1 and 8
  No swap needed
  Compare 8 and 12
  No swap needed
  Compare 12 and -60
  Swap 12 and -60
  List after swap: [1, 8, -60, 12, 52, 55]

Pass 4:
  Compare 1 and 8
  No swap needed
  Compare 8 and -60
  Swap 8 and -60
  List after swap: [1, -60, 8, 12, 52, 55]

Pass 5:
  Compare 1 and -60
  Swap 1 and -60
  List after swap: [-60, 1, 8, 12, 52, 55]

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

Final sorted list: [-60, 1, 8, 12, 52, 55]
</think>

<response>-60, 1, 8, 12, 52, 55</response>


input: Execute bubble sort to sort -10, 94, -58, -55, 27, 48, 52, -28, -42, -67 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-10, 94, -58, -55, 27, 48, 52, -28, -42, -67]

Pass 1:
  Compare -10 and 94
  No swap needed
  Compare 94 and -58
  Swap 94 and -58
  List after swap: [-10, -58, 94, -55, 27, 48, 52, -28, -42, -67]
  Compare 94 and -55
  Swap 94 and -55
  List after swap: [-10, -58, -55, 94, 27, 48, 52, -28, -42, -67]
  Compare 94 and 27
  Swap 94 and 27
  List after swap: [-10, -58, -55, 27, 94, 48, 52, -28, -42, -67]
  Compare 94 and 48
  Swap 94 and 48
  List after swap: [-10, -58, -55, 27, 48, 94, 52, -28, -42, -67]
  Compare 94 and 52
  Swap 94 and 52
  List after swap: [-10, -58, -55, 27, 48, 52, 94, -28, -42, -67]
  Compare 94 and -28
  Swap 94 and -28
  List after swap: [-10, -58, -55, 27, 48, 52, -28, 94, -42, -67]
  Compare 94 and -42
  Swap 94 and -42
  List after swap: [-10, -58, -55, 27, 48, 52, -28, -42, 94, -67]
  Compare 94 and -67
  Swap 94 and -67
  List after swap: [-10, -58, -55, 27, 48, 52, -28, -42, -67, 94]

Pass 2:
  Compare -10 and -58
  Swap -10 and -58
  List after swap: [-58, -10, -55, 27, 48, 52, -28, -42, -67, 94]
  Compare -10 and -55
  Swap -10 and -55
  List after swap: [-58, -55, -10, 27, 48, 52, -28, -42, -67, 94]
  Compare -10 and 27
  No swap needed
  Compare 27 and 48
  No swap needed
  Compare 48 and 52
  No swap needed
  Compare 52 and -28
  Swap 52 and -28
  List after swap: [-58, -55, -10, 27, 48, -28, 52, -42, -67, 94]
  Compare 52 and -42
  Swap 52 and -42
  List after swap: [-58, -55, -10, 27, 48, -28, -42, 52, -67, 94]
  Compare 52 and -67
  Swap 52 and -67
  List after swap: [-58, -55, -10, 27, 48, -28, -42, -67, 52, 94]

Pass 3:
  Compare -58 and -55
  No swap needed
  Compare -55 and -10
  No swap needed
  Compare -10 and 27
  No swap needed
  Compare 27 and 48
  No swap needed
  Compare 48 and -28
  Swap 48 and -28
  List after swap: [-58, -55, -10, 27, -28, 48, -42, -67, 52, 94]
  Compare 48 and -42
  Swap 48 and -42
  List after swap: [-58, -55, -10, 27, -28, -42, 48, -67, 52, 94]
  Compare 48 and -67
  Swap 48 and -67
  List after swap: [-58, -55, -10, 27, -28, -42, -67, 48, 52, 94]

Pass 4:
  Compare -58 and -55
  No swap needed
  Compare -55 and -10
  No swap needed
  Compare -10 and 27
  No swap needed
  Compare 27 and -28
  Swap 27 and -28
  List after swap: [-58, -55, -10, -28, 27, -42, -67, 48, 52, 94]
  Compare 27 and -42
  Swap 27 and -42
  List after swap: [-58, -55, -10, -28, -42, 27, -67, 48, 52, 94]
  Compare 27 and -67
  Swap 27 and -67
  List after swap: [-58, -55, -10, -28, -42, -67, 27, 48, 52, 94]

Pass 5:
  Compare -58 and -55
  No swap needed
  Compare -55 and -10
  No swap needed
  Compare -10 and -28
  Swap -10 and -28
  List after swap: [-58, -55, -28, -10, -42, -67, 27, 48, 52, 94]
  Compare -10 and -42
  Swap -10 and -42
  List after swap: [-58, -55, -28, -42, -10, -67, 27, 48, 52, 94]
  Compare -10 and -67
  Swap -10 and -67
  List after swap: [-58, -55, -28, -42, -67, -10, 27, 48, 52, 94]

Pass 6:
  Compare -58 and -55
  No swap needed
  Compare -55 and -28
  No swap needed
  Compare -28 and -42
  Swap -28 and -42
  List after swap: [-58, -55, -42, -28, -67, -10, 27, 48, 52, 94]
  Compare -28 and -67
  Swap -28 and -67
  List after swap: [-58, -55, -42, -67, -28, -10, 27, 48, 52, 94]

Pass 7:
  Compare -58 and -55
  No swap needed
  Compare -55 and -42
  No swap needed
  Compare -42 and -67
  Swap -42 and -67
  List after swap: [-58, -55, -67, -42, -28, -10, 27, 48, 52, 94]

Pass 8:
  Compare -58 and -55
  No swap needed
  Compare -55 and -67
  Swap -55 and -67
  List after swap: [-58, -67, -55, -42, -28, -10, 27, 48, 52, 94]

Pass 9:
  Compare -58 and -67
  Swap -58 and -67
  List after swap: [-67, -58, -55, -42, -28, -10, 27, 48, 52, 94]

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

Final sorted list: [-67, -58, -55, -42, -28, -10, 27, 48, 52, 94]
</think>

<response>-67, -58, -55, -42, -28, -10, 27, 48, 52, 94</response>


input: Using the bubble sort method, sort 66, 71, 22, -13, 33, -18, -50 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [66, 71, 22, -13, 33, -18, -50]

Pass 1:
  Compare 66 and 71
  No swap needed
  Compare 71 and 22
  Swap 71 and 22
  List after swap: [66, 22, 71, -13, 33, -18, -50]
  Compare 71 and -13
  Swap 71 and -13
  List after swap: [66, 22, -13, 71, 33, -18, -50]
  Compare 71 and 33
  Swap 71 and 33
  List after swap: [66, 22, -13, 33, 71, -18, -50]
  Compare 71 and -18
  Swap 71 and -18
  List after swap: [66, 22, -13, 33, -18, 71, -50]
  Compare 71 and -50
  Swap 71 and -50
  List after swap: [66, 22, -13, 33, -18, -50, 71]

Pass 2:
  Compare 66 and 22
  Swap 66 and 22
  List after swap: [22, 66, -13, 33, -18, -50, 71]
  Compare 66 and -13
  Swap 66 and -13
  List after swap: [22, -13, 66, 33, -18, -50, 71]
  Compare 66 and 33
  Swap 66 and 33
  List after swap: [22, -13, 33, 66, -18, -50, 71]
  Compare 66 and -18
  Swap 66 and -18
  List after swap: [22, -13, 33, -18, 66, -50, 71]
  Compare 66 and -50
  Swap 66 and -50
  List after swap: [22, -13, 33, -18, -50, 66, 71]

Pass 3:
  Compare 22 and -13
  Swap 22 and -13
  List after swap: [-13, 22, 33, -18, -50, 66, 71]
  Compare 22 and 33
  No swap needed
  Compare 33 and -18
  Swap 33 and -18
  List after swap: [-13, 22, -18, 33, -50, 66, 71]
  Compare 33 and -50
  Swap 33 and -50
  List after swap: [-13, 22, -18, -50, 33, 66, 71]

Pass 4:
  Compare -13 and 22
  No swap needed
  Compare 22 and -18
  Swap 22 and -18
  List after swap: [-13, -18, 22, -50, 33, 66, 71]
  Compare 22 and -50
  Swap 22 and -50
  List after swap: [-13, -18, -50, 22, 33, 66, 71]

Pass 5:
  Compare -13 and -18
  Swap -13 and -18
  List after swap: [-18, -13, -50, 22, 33, 66, 71]
  Compare -13 and -50
  Swap -13 and -50
  List after swap: [-18, -50, -13, 22, 33, 66, 71]

Pass 6:
  Compare -18 and -50
  Swap -18 and -50
  List after swap: [-50, -18, -13, 22, 33, 66, 71]

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

Final sorted list: [-50, -18, -13, 22, 33, 66, 71]
</think>

<response>-50, -18, -13, 22, 33, 66, 71</response>


input: Perform a bubble sort on the integers 56, 44, -27, 58, -49, -10, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [56, 44, -27, 58, -49, -10]

Pass 1:
  Compare 56 and 44
  Swap 56 and 44
  List after swap: [44, 56, -27, 58, -49, -10]
  Compare 56 and -27
  Swap 56 and -27
  List after swap: [44, -27, 56, 58, -49, -10]
  Compare 56 and 58
  No swap needed
  Compare 58 and -49
  Swap 58 and -49
  List after swap: [44, -27, 56, -49, 58, -10]
  Compare 58 and -10
  Swap 58 and -10
  List after swap: [44, -27, 56, -49, -10, 58]

Pass 2:
  Compare 44 and -27
  Swap 44 and -27
  List after swap: [-27, 44, 56, -49, -10, 58]
  Compare 44 and 56
  No swap needed
  Compare 56 and -49
  Swap 56 and -49
  List after swap: [-27, 44, -49, 56, -10, 58]
  Compare 56 and -10
  Swap 56 and -10
  List after swap: [-27, 44, -49, -10, 56, 58]

Pass 3:
  Compare -27 and 44
  No swap needed
  Compare 44 and -49
  Swap 44 and -49
  List after swap: [-27, -49, 44, -10, 56, 58]
  Compare 44 and -10
  Swap 44 and -10
  List after swap: [-27, -49, -10, 44, 56, 58]

Pass 4:
  Compare -27 and -49
  Swap -27 and -49
  List after swap: [-49, -27, -10, 44, 56, 58]
  Compare -27 and -10
  No swap needed

Pass 5:
  Compare -49 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-49, -27, -10, 44, 56, 58]
</think>

<response>-49, -27, -10, 44, 56, 58</response>


input: Carry out the bubble sort algorithm on -33, 68, 21, -90, -15, 36, 53 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-33, 68, 21, -90, -15, 36, 53]

Pass 1:
  Compare -33 and 68
  No swap needed
  Compare 68 and 21
  Swap 68 and 21
  List after swap: [-33, 21, 68, -90, -15, 36, 53]
  Compare 68 and -90
  Swap 68 and -90
  List after swap: [-33, 21, -90, 68, -15, 36, 53]
  Compare 68 and -15
  Swap 68 and -15
  List after swap: [-33, 21, -90, -15, 68, 36, 53]
  Compare 68 and 36
  Swap 68 and 36
  List after swap: [-33, 21, -90, -15, 36, 68, 53]
  Compare 68 and 53
  Swap 68 and 53
  List after swap: [-33, 21, -90, -15, 36, 53, 68]

Pass 2:
  Compare -33 and 21
  No swap needed
  Compare 21 and -90
  Swap 21 and -90
  List after swap: [-33, -90, 21, -15, 36, 53, 68]
  Compare 21 and -15
  Swap 21 and -15
  List after swap: [-33, -90, -15, 21, 36, 53, 68]
  Compare 21 and 36
  No swap needed
  Compare 36 and 53
  No swap needed

Pass 3:
  Compare -33 and -90
  Swap -33 and -90
  List after swap: [-90, -33, -15, 21, 36, 53, 68]
  Compare -33 and -15
  No swap needed
  Compare -15 and 21
  No swap needed
  Compare 21 and 36
  No swap needed

Pass 4:
  Compare -90 and -33
  No swap needed
  Compare -33 and -15
  No swap needed
  Compare -15 and 21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -33, -15, 21, 36, 53, 68]
</think>

<response>-90, -33, -15, 21, 36, 53, 68</response>


input: Sort the list 8, -88, -22, -56 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [8, -88, -22, -56]

Pass 1:
  Compare 8 and -88
  Swap 8 and -88
  List after swap: [-88, 8, -22, -56]
  Compare 8 and -22
  Swap 8 and -22
  List after swap: [-88, -22, 8, -56]
  Compare 8 and -56
  Swap 8 and -56
  List after swap: [-88, -22, -56, 8]

Pass 2:
  Compare -88 and -22
  No swap needed
  Compare -22 and -56
  Swap -22 and -56
  List after swap: [-88, -56, -22, 8]

Pass 3:
  Compare -88 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -56, -22, 8]
</think>

<response>-88, -56, -22, 8</response>


input: Demonstrate how bubble sort orders the integers 19, -3, -76, -82, -69, -29, -23, -72, -6 in ascending sequence, showing all steps.

output:
<think>
Initial list: [19, -3, -76, -82, -69, -29, -23, -72, -6]

Pass 1:
  Compare 19 and -3
  Swap 19 and -3
  List after swap: [-3, 19, -76, -82, -69, -29, -23, -72, -6]
  Compare 19 and -76
  Swap 19 and -76
  List after swap: [-3, -76, 19, -82, -69, -29, -23, -72, -6]
  Compare 19 and -82
  Swap 19 and -82
  List after swap: [-3, -76, -82, 19, -69, -29, -23, -72, -6]
  Compare 19 and -69
  Swap 19 and -69
  List after swap: [-3, -76, -82, -69, 19, -29, -23, -72, -6]
  Compare 19 and -29
  Swap 19 and -29
  List after swap: [-3, -76, -82, -69, -29, 19, -23, -72, -6]
  Compare 19 and -23
  Swap 19 and -23
  List after swap: [-3, -76, -82, -69, -29, -23, 19, -72, -6]
  Compare 19 and -72
  Swap 19 and -72
  List after swap: [-3, -76, -82, -69, -29, -23, -72, 19, -6]
  Compare 19 and -6
  Swap 19 and -6
  List after swap: [-3, -76, -82, -69, -29, -23, -72, -6, 19]

Pass 2:
  Compare -3 and -76
  Swap -3 and -76
  List after swap: [-76, -3, -82, -69, -29, -23, -72, -6, 19]
  Compare -3 and -82
  Swap -3 and -82
  List after swap: [-76, -82, -3, -69, -29, -23, -72, -6, 19]
  Compare -3 and -69
  Swap -3 and -69
  List after swap: [-76, -82, -69, -3, -29, -23, -72, -6, 19]
  Compare -3 and -29
  Swap -3 and -29
  List after swap: [-76, -82, -69, -29, -3, -23, -72, -6, 19]
  Compare -3 and -23
  Swap -3 and -23
  List after swap: [-76, -82, -69, -29, -23, -3, -72, -6, 19]
  Compare -3 and -72
  Swap -3 and -72
  List after swap: [-76, -82, -69, -29, -23, -72, -3, -6, 19]
  Compare -3 and -6
  Swap -3 and -6
  List after swap: [-76, -82, -69, -29, -23, -72, -6, -3, 19]

Pass 3:
  Compare -76 and -82
  Swap -76 and -82
  List after swap: [-82, -76, -69, -29, -23, -72, -6, -3, 19]
  Compare -76 and -69
  No swap needed
  Compare -69 and -29
  No swap needed
  Compare -29 and -23
  No swap needed
  Compare -23 and -72
  Swap -23 and -72
  List after swap: [-82, -76, -69, -29, -72, -23, -6, -3, 19]
  Compare -23 and -6
  No swap needed

Pass 4:
  Compare -82 and -76
  No swap needed
  Compare -76 and -69
  No swap needed
  Compare -69 and -29
  No swap needed
  Compare -29 and -72
  Swap -29 and -72
  List after swap: [-82, -76, -69, -72, -29, -23, -6, -3, 19]
  Compare -29 and -23
  No swap needed

Pass 5:
  Compare -82 and -76
  No swap needed
  Compare -76 and -69
  No swap needed
  Compare -69 and -72
  Swap -69 and -72
  List after swap: [-82, -76, -72, -69, -29, -23, -6, -3, 19]
  Compare -69 and -29
  No swap needed

Pass 6:
  Compare -82 and -76
  No swap needed
  Compare -76 and -72
  No swap needed
  Compare -72 and -69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -76, -72, -69, -29, -23, -6, -3, 19]
</think>

<response>-82, -76, -72, -69, -29, -23, -6, -3, 19</response>


input: Execute bubble sort to sort 3, 32, 86 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [3, 32, 86]

Pass 1:
  Compare 3 and 32
  No swap needed
  Compare 32 and 86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [3, 32, 86]
</think>

<response>3, 32, 86</response>


input: Sort these integers 27, -38, -16, 92, 30 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [27, -38, -16, 92, 30]

Pass 1:
  Compare 27 and -38
  Swap 27 and -38
  List after swap: [-38, 27, -16, 92, 30]
  Compare 27 and -16
  Swap 27 and -16
  List after swap: [-38, -16, 27, 92, 30]
  Compare 27 and 92
  No swap needed
  Compare 92 and 30
  Swap 92 and 30
  List after swap: [-38, -16, 27, 30, 92]

Pass 2:
  Compare -38 and -16
  No swap needed
  Compare -16 and 27
  No swap needed
  Compare 27 and 30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-38, -16, 27, 30, 92]
</think>

<response>-38, -16, 27, 30, 92</response>


input: Use the bubble sort technique to reorder 27, 7 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [27, 7]

Pass 1:
  Compare 27 and 7
  Swap 27 and 7
  List after swap: [7, 27]

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

Final sorted list: [7, 27]
</think>

<response>7, 27</response>


input: Implement bubble sort on 87, -4, -49, -27, -48, 4, -65, 46, -79, 93 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [87, -4, -49, -27, -48, 4, -65, 46, -79, 93]

Pass 1:
  Compare 87 and -4
  Swap 87 and -4
  List after swap: [-4, 87, -49, -27, -48, 4, -65, 46, -79, 93]
  Compare 87 and -49
  Swap 87 and -49
  List after swap: [-4, -49, 87, -27, -48, 4, -65, 46, -79, 93]
  Compare 87 and -27
  Swap 87 and -27
  List after swap: [-4, -49, -27, 87, -48, 4, -65, 46, -79, 93]
  Compare 87 and -48
  Swap 87 and -48
  List after swap: [-4, -49, -27, -48, 87, 4, -65, 46, -79, 93]
  Compare 87 and 4
  Swap 87 and 4
  List after swap: [-4, -49, -27, -48, 4, 87, -65, 46, -79, 93]
  Compare 87 and -65
  Swap 87 and -65
  List after swap: [-4, -49, -27, -48, 4, -65, 87, 46, -79, 93]
  Compare 87 and 46
  Swap 87 and 46
  List after swap: [-4, -49, -27, -48, 4, -65, 46, 87, -79, 93]
  Compare 87 and -79
  Swap 87 and -79
  List after swap: [-4, -49, -27, -48, 4, -65, 46, -79, 87, 93]
  Compare 87 and 93
  No swap needed

Pass 2:
  Compare -4 and -49
  Swap -4 and -49
  List after swap: [-49, -4, -27, -48, 4, -65, 46, -79, 87, 93]
  Compare -4 and -27
  Swap -4 and -27
  List after swap: [-49, -27, -4, -48, 4, -65, 46, -79, 87, 93]
  Compare -4 and -48
  Swap -4 and -48
  List after swap: [-49, -27, -48, -4, 4, -65, 46, -79, 87, 93]
  Compare -4 and 4
  No swap needed
  Compare 4 and -65
  Swap 4 and -65
  List after swap: [-49, -27, -48, -4, -65, 4, 46, -79, 87, 93]
  Compare 4 and 46
  No swap needed
  Compare 46 and -79
  Swap 46 and -79
  List after swap: [-49, -27, -48, -4, -65, 4, -79, 46, 87, 93]
  Compare 46 and 87
  No swap needed

Pass 3:
  Compare -49 and -27
  No swap needed
  Compare -27 and -48
  Swap -27 and -48
  List after swap: [-49, -48, -27, -4, -65, 4, -79, 46, 87, 93]
  Compare -27 and -4
  No swap needed
  Compare -4 and -65
  Swap -4 and -65
  List after swap: [-49, -48, -27, -65, -4, 4, -79, 46, 87, 93]
  Compare -4 and 4
  No swap needed
  Compare 4 and -79
  Swap 4 and -79
  List after swap: [-49, -48, -27, -65, -4, -79, 4, 46, 87, 93]
  Compare 4 and 46
  No swap needed

Pass 4:
  Compare -49 and -48
  No swap needed
  Compare -48 and -27
  No swap needed
  Compare -27 and -65
  Swap -27 and -65
  List after swap: [-49, -48, -65, -27, -4, -79, 4, 46, 87, 93]
  Compare -27 and -4
  No swap needed
  Compare -4 and -79
  Swap -4 and -79
  List after swap: [-49, -48, -65, -27, -79, -4, 4, 46, 87, 93]
  Compare -4 and 4
  No swap needed

Pass 5:
  Compare -49 and -48
  No swap needed
  Compare -48 and -65
  Swap -48 and -65
  List after swap: [-49, -65, -48, -27, -79, -4, 4, 46, 87, 93]
  Compare -48 and -27
  No swap needed
  Compare -27 and -79
  Swap -27 and -79
  List after swap: [-49, -65, -48, -79, -27, -4, 4, 46, 87, 93]
  Compare -27 and -4
  No swap needed

Pass 6:
  Compare -49 and -65
  Swap -49 and -65
  List after swap: [-65, -49, -48, -79, -27, -4, 4, 46, 87, 93]
  Compare -49 and -48
  No swap needed
  Compare -48 and -79
  Swap -48 and -79
  List after swap: [-65, -49, -79, -48, -27, -4, 4, 46, 87, 93]
  Compare -48 and -27
  No swap needed

Pass 7:
  Compare -65 and -49
  No swap needed
  Compare -49 and -79
  Swap -49 and -79
  List after swap: [-65, -79, -49, -48, -27, -4, 4, 46, 87, 93]
  Compare -49 and -48
  No swap needed

Pass 8:
  Compare -65 and -79
  Swap -65 and -79
  List after swap: [-79, -65, -49, -48, -27, -4, 4, 46, 87, 93]
  Compare -65 and -49
  No swap needed

Pass 9:
  Compare -79 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -65, -49, -48, -27, -4, 4, 46, 87, 93]
</think>

<response>-79, -65, -49, -48, -27, -4, 4, 46, 87, 93</response>


input: Arrange the numbers 0, -63 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [0, -63]

Pass 1:
  Compare 0 and -63
  Swap 0 and -63
  List after swap: [-63, 0]

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

Final sorted list: [-63, 0]
</think>

<response>-63, 0</response>


input: Perform a bubble sort on the integers 11, -52, -31, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [11, -52, -31]

Pass 1:
  Compare 11 and -52
  Swap 11 and -52
  List after swap: [-52, 11, -31]
  Compare 11 and -31
  Swap 11 and -31
  List after swap: [-52, -31, 11]

Pass 2:
  Compare -52 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, -31, 11]
</think>

<response>-52, -31, 11</response>


input: Sort these integers 56, -28, -66, -79 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [56, -28, -66, -79]

Pass 1:
  Compare 56 and -28
  Swap 56 and -28
  List after swap: [-28, 56, -66, -79]
  Compare 56 and -66
  Swap 56 and -66
  List after swap: [-28, -66, 56, -79]
  Compare 56 and -79
  Swap 56 and -79
  List after swap: [-28, -66, -79, 56]

Pass 2:
  Compare -28 and -66
  Swap -28 and -66
  List after swap: [-66, -28, -79, 56]
  Compare -28 and -79
  Swap -28 and -79
  List after swap: [-66, -79, -28, 56]

Pass 3:
  Compare -66 and -79
  Swap -66 and -79
  List after swap: [-79, -66, -28, 56]

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

Final sorted list: [-79, -66, -28, 56]
</think>

<response>-79, -66, -28, 56</response>


input: Carry out the bubble sort algorithm on -3, 59, -27, 70, 25, 21, -21 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-3, 59, -27, 70, 25, 21, -21]

Pass 1:
  Compare -3 and 59
  No swap needed
  Compare 59 and -27
  Swap 59 and -27
  List after swap: [-3, -27, 59, 70, 25, 21, -21]
  Compare 59 and 70
  No swap needed
  Compare 70 and 25
  Swap 70 and 25
  List after swap: [-3, -27, 59, 25, 70, 21, -21]
  Compare 70 and 21
  Swap 70 and 21
  List after swap: [-3, -27, 59, 25, 21, 70, -21]
  Compare 70 and -21
  Swap 70 and -21
  List after swap: [-3, -27, 59, 25, 21, -21, 70]

Pass 2:
  Compare -3 and -27
  Swap -3 and -27
  List after swap: [-27, -3, 59, 25, 21, -21, 70]
  Compare -3 and 59
  No swap needed
  Compare 59 and 25
  Swap 59 and 25
  List after swap: [-27, -3, 25, 59, 21, -21, 70]
  Compare 59 and 21
  Swap 59 and 21
  List after swap: [-27, -3, 25, 21, 59, -21, 70]
  Compare 59 and -21
  Swap 59 and -21
  List after swap: [-27, -3, 25, 21, -21, 59, 70]

Pass 3:
  Compare -27 and -3
  No swap needed
  Compare -3 and 25
  No swap needed
  Compare 25 and 21
  Swap 25 and 21
  List after swap: [-27, -3, 21, 25, -21, 59, 70]
  Compare 25 and -21
  Swap 25 and -21
  List after swap: [-27, -3, 21, -21, 25, 59, 70]

Pass 4:
  Compare -27 and -3
  No swap needed
  Compare -3 and 21
  No swap needed
  Compare 21 and -21
  Swap 21 and -21
  List after swap: [-27, -3, -21, 21, 25, 59, 70]

Pass 5:
  Compare -27 and -3
  No swap needed
  Compare -3 and -21
  Swap -3 and -21
  List after swap: [-27, -21, -3, 21, 25, 59, 70]

Pass 6:
  Compare -27 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-27, -21, -3, 21, 25, 59, 70]
</think>

<response>-27, -21, -3, 21, 25, 59, 70</response>


input: Sort these integers -87, -46 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-87, -46]

Pass 1:
  Compare -87 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -46]
</think>

<response>-87, -46</response>


input: Use the bubble sort technique to reorder -80, -20, 22, -69, -78, -60 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-80, -20, 22, -69, -78, -60]

Pass 1:
  Compare -80 and -20
  No swap needed
  Compare -20 and 22
  No swap needed
  Compare 22 and -69
  Swap 22 and -69
  List after swap: [-80, -20, -69, 22, -78, -60]
  Compare 22 and -78
  Swap 22 and -78
  List after swap: [-80, -20, -69, -78, 22, -60]
  Compare 22 and -60
  Swap 22 and -60
  List after swap: [-80, -20, -69, -78, -60, 22]

Pass 2:
  Compare -80 and -20
  No swap needed
  Compare -20 and -69
  Swap -20 and -69
  List after swap: [-80, -69, -20, -78, -60, 22]
  Compare -20 and -78
  Swap -20 and -78
  List after swap: [-80, -69, -78, -20, -60, 22]
  Compare -20 and -60
  Swap -20 and -60
  List after swap: [-80, -69, -78, -60, -20, 22]

Pass 3:
  Compare -80 and -69
  No swap needed
  Compare -69 and -78
  Swap -69 and -78
  List after swap: [-80, -78, -69, -60, -20, 22]
  Compare -69 and -60
  No swap needed

Pass 4:
  Compare -80 and -78
  No swap needed
  Compare -78 and -69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -78, -69, -60, -20, 22]
</think>

<response>-80, -78, -69, -60, -20, 22</response>


input: Use the bubble sort technique to reorder -65, 0 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-65, 0]

Pass 1:
  Compare -65 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, 0]
</think>

<response>-65, 0</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -29, 64, 46.

output:
<think>
Initial list: [-29, 64, 46]

Pass 1:
  Compare -29 and 64
  No swap needed
  Compare 64 and 46
  Swap 64 and 46
  List after swap: [-29, 46, 64]

Pass 2:
  Compare -29 and 46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-29, 46, 64]
</think>

<response>-29, 46, 64</response>


input: Sort these integers -71, -74, -11, 15, -37 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-71, -74, -11, 15, -37]

Pass 1:
  Compare -71 and -74
  Swap -71 and -74
  List after swap: [-74, -71, -11, 15, -37]
  Compare -71 and -11
  No swap needed
  Compare -11 and 15
  No swap needed
  Compare 15 and -37
  Swap 15 and -37
  List after swap: [-74, -71, -11, -37, 15]

Pass 2:
  Compare -74 and -71
  No swap needed
  Compare -71 and -11
  No swap needed
  Compare -11 and -37
  Swap -11 and -37
  List after swap: [-74, -71, -37, -11, 15]

Pass 3:
  Compare -74 and -71
  No swap needed
  Compare -71 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -71, -37, -11, 15]
</think>

<response>-74, -71, -37, -11, 15</response>


input: Implement bubble sort on 29, 6, -96 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [29, 6, -96]

Pass 1:
  Compare 29 and 6
  Swap 29 and 6
  List after swap: [6, 29, -96]
  Compare 29 and -96
  Swap 29 and -96
  List after swap: [6, -96, 29]

Pass 2:
  Compare 6 and -96
  Swap 6 and -96
  List after swap: [-96, 6, 29]

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

Final sorted list: [-96, 6, 29]
</think>

<response>-96, 6, 29</response>