input: Sort the list -20, -83, 94, 44, -58, 17, -12, 23, 32 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-20, -83, 94, 44, -58, 17, -12, 23, 32]

Pass 1:
  Compare -20 and -83
  Swap -20 and -83
  List after swap: [-83, -20, 94, 44, -58, 17, -12, 23, 32]
  Compare -20 and 94
  No swap needed
  Compare 94 and 44
  Swap 94 and 44
  List after swap: [-83, -20, 44, 94, -58, 17, -12, 23, 32]
  Compare 94 and -58
  Swap 94 and -58
  List after swap: [-83, -20, 44, -58, 94, 17, -12, 23, 32]
  Compare 94 and 17
  Swap 94 and 17
  List after swap: [-83, -20, 44, -58, 17, 94, -12, 23, 32]
  Compare 94 and -12
  Swap 94 and -12
  List after swap: [-83, -20, 44, -58, 17, -12, 94, 23, 32]
  Compare 94 and 23
  Swap 94 and 23
  List after swap: [-83, -20, 44, -58, 17, -12, 23, 94, 32]
  Compare 94 and 32
  Swap 94 and 32
  List after swap: [-83, -20, 44, -58, 17, -12, 23, 32, 94]

Pass 2:
  Compare -83 and -20
  No swap needed
  Compare -20 and 44
  No swap needed
  Compare 44 and -58
  Swap 44 and -58
  List after swap: [-83, -20, -58, 44, 17, -12, 23, 32, 94]
  Compare 44 and 17
  Swap 44 and 17
  List after swap: [-83, -20, -58, 17, 44, -12, 23, 32, 94]
  Compare 44 and -12
  Swap 44 and -12
  List after swap: [-83, -20, -58, 17, -12, 44, 23, 32, 94]
  Compare 44 and 23
  Swap 44 and 23
  List after swap: [-83, -20, -58, 17, -12, 23, 44, 32, 94]
  Compare 44 and 32
  Swap 44 and 32
  List after swap: [-83, -20, -58, 17, -12, 23, 32, 44, 94]

Pass 3:
  Compare -83 and -20
  No swap needed
  Compare -20 and -58
  Swap -20 and -58
  List after swap: [-83, -58, -20, 17, -12, 23, 32, 44, 94]
  Compare -20 and 17
  No swap needed
  Compare 17 and -12
  Swap 17 and -12
  List after swap: [-83, -58, -20, -12, 17, 23, 32, 44, 94]
  Compare 17 and 23
  No swap needed
  Compare 23 and 32
  No swap needed

Pass 4:
  Compare -83 and -58
  No swap needed
  Compare -58 and -20
  No swap needed
  Compare -20 and -12
  No swap needed
  Compare -12 and 17
  No swap needed
  Compare 17 and 23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -58, -20, -12, 17, 23, 32, 44, 94]
</think>

<response>-83, -58, -20, -12, 17, 23, 32, 44, 94</response>


input: Execute bubble sort to sort -38, -1, -37, 64, 38 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-38, -1, -37, 64, 38]

Pass 1:
  Compare -38 and -1
  No swap needed
  Compare -1 and -37
  Swap -1 and -37
  List after swap: [-38, -37, -1, 64, 38]
  Compare -1 and 64
  No swap needed
  Compare 64 and 38
  Swap 64 and 38
  List after swap: [-38, -37, -1, 38, 64]

Pass 2:
  Compare -38 and -37
  No swap needed
  Compare -37 and -1
  No swap needed
  Compare -1 and 38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-38, -37, -1, 38, 64]
</think>

<response>-38, -37, -1, 38, 64</response>


input: Arrange the numbers -34, 25, 23, 42, 27, -30, 68 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-34, 25, 23, 42, 27, -30, 68]

Pass 1:
  Compare -34 and 25
  No swap needed
  Compare 25 and 23
  Swap 25 and 23
  List after swap: [-34, 23, 25, 42, 27, -30, 68]
  Compare 25 and 42
  No swap needed
  Compare 42 and 27
  Swap 42 and 27
  List after swap: [-34, 23, 25, 27, 42, -30, 68]
  Compare 42 and -30
  Swap 42 and -30
  List after swap: [-34, 23, 25, 27, -30, 42, 68]
  Compare 42 and 68
  No swap needed

Pass 2:
  Compare -34 and 23
  No swap needed
  Compare 23 and 25
  No swap needed
  Compare 25 and 27
  No swap needed
  Compare 27 and -30
  Swap 27 and -30
  List after swap: [-34, 23, 25, -30, 27, 42, 68]
  Compare 27 and 42
  No swap needed

Pass 3:
  Compare -34 and 23
  No swap needed
  Compare 23 and 25
  No swap needed
  Compare 25 and -30
  Swap 25 and -30
  List after swap: [-34, 23, -30, 25, 27, 42, 68]
  Compare 25 and 27
  No swap needed

Pass 4:
  Compare -34 and 23
  No swap needed
  Compare 23 and -30
  Swap 23 and -30
  List after swap: [-34, -30, 23, 25, 27, 42, 68]
  Compare 23 and 25
  No swap needed

Pass 5:
  Compare -34 and -30
  No swap needed
  Compare -30 and 23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-34, -30, 23, 25, 27, 42, 68]
</think>

<response>-34, -30, 23, 25, 27, 42, 68</response>


input: Use the bubble sort technique to reorder -89, -51, 38, 79, -70, -26 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-89, -51, 38, 79, -70, -26]

Pass 1:
  Compare -89 and -51
  No swap needed
  Compare -51 and 38
  No swap needed
  Compare 38 and 79
  No swap needed
  Compare 79 and -70
  Swap 79 and -70
  List after swap: [-89, -51, 38, -70, 79, -26]
  Compare 79 and -26
  Swap 79 and -26
  List after swap: [-89, -51, 38, -70, -26, 79]

Pass 2:
  Compare -89 and -51
  No swap needed
  Compare -51 and 38
  No swap needed
  Compare 38 and -70
  Swap 38 and -70
  List after swap: [-89, -51, -70, 38, -26, 79]
  Compare 38 and -26
  Swap 38 and -26
  List after swap: [-89, -51, -70, -26, 38, 79]

Pass 3:
  Compare -89 and -51
  No swap needed
  Compare -51 and -70
  Swap -51 and -70
  List after swap: [-89, -70, -51, -26, 38, 79]
  Compare -51 and -26
  No swap needed

Pass 4:
  Compare -89 and -70
  No swap needed
  Compare -70 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -70, -51, -26, 38, 79]
</think>

<response>-89, -70, -51, -26, 38, 79</response>


input: Demonstrate how bubble sort orders the integers -28, -8, -75, 60, 98, -67, 1, 71 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-28, -8, -75, 60, 98, -67, 1, 71]

Pass 1:
  Compare -28 and -8
  No swap needed
  Compare -8 and -75
  Swap -8 and -75
  List after swap: [-28, -75, -8, 60, 98, -67, 1, 71]
  Compare -8 and 60
  No swap needed
  Compare 60 and 98
  No swap needed
  Compare 98 and -67
  Swap 98 and -67
  List after swap: [-28, -75, -8, 60, -67, 98, 1, 71]
  Compare 98 and 1
  Swap 98 and 1
  List after swap: [-28, -75, -8, 60, -67, 1, 98, 71]
  Compare 98 and 71
  Swap 98 and 71
  List after swap: [-28, -75, -8, 60, -67, 1, 71, 98]

Pass 2:
  Compare -28 and -75
  Swap -28 and -75
  List after swap: [-75, -28, -8, 60, -67, 1, 71, 98]
  Compare -28 and -8
  No swap needed
  Compare -8 and 60
  No swap needed
  Compare 60 and -67
  Swap 60 and -67
  List after swap: [-75, -28, -8, -67, 60, 1, 71, 98]
  Compare 60 and 1
  Swap 60 and 1
  List after swap: [-75, -28, -8, -67, 1, 60, 71, 98]
  Compare 60 and 71
  No swap needed

Pass 3:
  Compare -75 and -28
  No swap needed
  Compare -28 and -8
  No swap needed
  Compare -8 and -67
  Swap -8 and -67
  List after swap: [-75, -28, -67, -8, 1, 60, 71, 98]
  Compare -8 and 1
  No swap needed
  Compare 1 and 60
  No swap needed

Pass 4:
  Compare -75 and -28
  No swap needed
  Compare -28 and -67
  Swap -28 and -67
  List after swap: [-75, -67, -28, -8, 1, 60, 71, 98]
  Compare -28 and -8
  No swap needed
  Compare -8 and 1
  No swap needed

Pass 5:
  Compare -75 and -67
  No swap needed
  Compare -67 and -28
  No swap needed
  Compare -28 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -67, -28, -8, 1, 60, 71, 98]
</think>

<response>-75, -67, -28, -8, 1, 60, 71, 98</response>


input: Implement bubble sort on 64, 18, 55, 50 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [64, 18, 55, 50]

Pass 1:
  Compare 64 and 18
  Swap 64 and 18
  List after swap: [18, 64, 55, 50]
  Compare 64 and 55
  Swap 64 and 55
  List after swap: [18, 55, 64, 50]
  Compare 64 and 50
  Swap 64 and 50
  List after swap: [18, 55, 50, 64]

Pass 2:
  Compare 18 and 55
  No swap needed
  Compare 55 and 50
  Swap 55 and 50
  List after swap: [18, 50, 55, 64]

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

Final sorted list: [18, 50, 55, 64]
</think>

<response>18, 50, 55, 64</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 33, -65, -59, -75.

output:
<think>
Initial list: [33, -65, -59, -75]

Pass 1:
  Compare 33 and -65
  Swap 33 and -65
  List after swap: [-65, 33, -59, -75]
  Compare 33 and -59
  Swap 33 and -59
  List after swap: [-65, -59, 33, -75]
  Compare 33 and -75
  Swap 33 and -75
  List after swap: [-65, -59, -75, 33]

Pass 2:
  Compare -65 and -59
  No swap needed
  Compare -59 and -75
  Swap -59 and -75
  List after swap: [-65, -75, -59, 33]

Pass 3:
  Compare -65 and -75
  Swap -65 and -75
  List after swap: [-75, -65, -59, 33]

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

Final sorted list: [-75, -65, -59, 33]
</think>

<response>-75, -65, -59, 33</response>


input: Implement bubble sort on 38, -81, 58, -92, -78, -79 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [38, -81, 58, -92, -78, -79]

Pass 1:
  Compare 38 and -81
  Swap 38 and -81
  List after swap: [-81, 38, 58, -92, -78, -79]
  Compare 38 and 58
  No swap needed
  Compare 58 and -92
  Swap 58 and -92
  List after swap: [-81, 38, -92, 58, -78, -79]
  Compare 58 and -78
  Swap 58 and -78
  List after swap: [-81, 38, -92, -78, 58, -79]
  Compare 58 and -79
  Swap 58 and -79
  List after swap: [-81, 38, -92, -78, -79, 58]

Pass 2:
  Compare -81 and 38
  No swap needed
  Compare 38 and -92
  Swap 38 and -92
  List after swap: [-81, -92, 38, -78, -79, 58]
  Compare 38 and -78
  Swap 38 and -78
  List after swap: [-81, -92, -78, 38, -79, 58]
  Compare 38 and -79
  Swap 38 and -79
  List after swap: [-81, -92, -78, -79, 38, 58]

Pass 3:
  Compare -81 and -92
  Swap -81 and -92
  List after swap: [-92, -81, -78, -79, 38, 58]
  Compare -81 and -78
  No swap needed
  Compare -78 and -79
  Swap -78 and -79
  List after swap: [-92, -81, -79, -78, 38, 58]

Pass 4:
  Compare -92 and -81
  No swap needed
  Compare -81 and -79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -81, -79, -78, 38, 58]
</think>

<response>-92, -81, -79, -78, 38, 58</response>


input: Using the bubble sort method, sort -45, 90, -42, -70, 68, -59, 16, 4 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-45, 90, -42, -70, 68, -59, 16, 4]

Pass 1:
  Compare -45 and 90
  No swap needed
  Compare 90 and -42
  Swap 90 and -42
  List after swap: [-45, -42, 90, -70, 68, -59, 16, 4]
  Compare 90 and -70
  Swap 90 and -70
  List after swap: [-45, -42, -70, 90, 68, -59, 16, 4]
  Compare 90 and 68
  Swap 90 and 68
  List after swap: [-45, -42, -70, 68, 90, -59, 16, 4]
  Compare 90 and -59
  Swap 90 and -59
  List after swap: [-45, -42, -70, 68, -59, 90, 16, 4]
  Compare 90 and 16
  Swap 90 and 16
  List after swap: [-45, -42, -70, 68, -59, 16, 90, 4]
  Compare 90 and 4
  Swap 90 and 4
  List after swap: [-45, -42, -70, 68, -59, 16, 4, 90]

Pass 2:
  Compare -45 and -42
  No swap needed
  Compare -42 and -70
  Swap -42 and -70
  List after swap: [-45, -70, -42, 68, -59, 16, 4, 90]
  Compare -42 and 68
  No swap needed
  Compare 68 and -59
  Swap 68 and -59
  List after swap: [-45, -70, -42, -59, 68, 16, 4, 90]
  Compare 68 and 16
  Swap 68 and 16
  List after swap: [-45, -70, -42, -59, 16, 68, 4, 90]
  Compare 68 and 4
  Swap 68 and 4
  List after swap: [-45, -70, -42, -59, 16, 4, 68, 90]

Pass 3:
  Compare -45 and -70
  Swap -45 and -70
  List after swap: [-70, -45, -42, -59, 16, 4, 68, 90]
  Compare -45 and -42
  No swap needed
  Compare -42 and -59
  Swap -42 and -59
  List after swap: [-70, -45, -59, -42, 16, 4, 68, 90]
  Compare -42 and 16
  No swap needed
  Compare 16 and 4
  Swap 16 and 4
  List after swap: [-70, -45, -59, -42, 4, 16, 68, 90]

Pass 4:
  Compare -70 and -45
  No swap needed
  Compare -45 and -59
  Swap -45 and -59
  List after swap: [-70, -59, -45, -42, 4, 16, 68, 90]
  Compare -45 and -42
  No swap needed
  Compare -42 and 4
  No swap needed

Pass 5:
  Compare -70 and -59
  No swap needed
  Compare -59 and -45
  No swap needed
  Compare -45 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -59, -45, -42, 4, 16, 68, 90]
</think>

<response>-70, -59, -45, -42, 4, 16, 68, 90</response>


input: Use the bubble sort technique to reorder -71, -82, 38, 11, -41, 66, -47, -38 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-71, -82, 38, 11, -41, 66, -47, -38]

Pass 1:
  Compare -71 and -82
  Swap -71 and -82
  List after swap: [-82, -71, 38, 11, -41, 66, -47, -38]
  Compare -71 and 38
  No swap needed
  Compare 38 and 11
  Swap 38 and 11
  List after swap: [-82, -71, 11, 38, -41, 66, -47, -38]
  Compare 38 and -41
  Swap 38 and -41
  List after swap: [-82, -71, 11, -41, 38, 66, -47, -38]
  Compare 38 and 66
  No swap needed
  Compare 66 and -47
  Swap 66 and -47
  List after swap: [-82, -71, 11, -41, 38, -47, 66, -38]
  Compare 66 and -38
  Swap 66 and -38
  List after swap: [-82, -71, 11, -41, 38, -47, -38, 66]

Pass 2:
  Compare -82 and -71
  No swap needed
  Compare -71 and 11
  No swap needed
  Compare 11 and -41
  Swap 11 and -41
  List after swap: [-82, -71, -41, 11, 38, -47, -38, 66]
  Compare 11 and 38
  No swap needed
  Compare 38 and -47
  Swap 38 and -47
  List after swap: [-82, -71, -41, 11, -47, 38, -38, 66]
  Compare 38 and -38
  Swap 38 and -38
  List after swap: [-82, -71, -41, 11, -47, -38, 38, 66]

Pass 3:
  Compare -82 and -71
  No swap needed
  Compare -71 and -41
  No swap needed
  Compare -41 and 11
  No swap needed
  Compare 11 and -47
  Swap 11 and -47
  List after swap: [-82, -71, -41, -47, 11, -38, 38, 66]
  Compare 11 and -38
  Swap 11 and -38
  List after swap: [-82, -71, -41, -47, -38, 11, 38, 66]

Pass 4:
  Compare -82 and -71
  No swap needed
  Compare -71 and -41
  No swap needed
  Compare -41 and -47
  Swap -41 and -47
  List after swap: [-82, -71, -47, -41, -38, 11, 38, 66]
  Compare -41 and -38
  No swap needed

Pass 5:
  Compare -82 and -71
  No swap needed
  Compare -71 and -47
  No swap needed
  Compare -47 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -71, -47, -41, -38, 11, 38, 66]
</think>

<response>-82, -71, -47, -41, -38, 11, 38, 66</response>


input: Sort the list 92, 14, 38, -21, -78, -63, 86 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [92, 14, 38, -21, -78, -63, 86]

Pass 1:
  Compare 92 and 14
  Swap 92 and 14
  List after swap: [14, 92, 38, -21, -78, -63, 86]
  Compare 92 and 38
  Swap 92 and 38
  List after swap: [14, 38, 92, -21, -78, -63, 86]
  Compare 92 and -21
  Swap 92 and -21
  List after swap: [14, 38, -21, 92, -78, -63, 86]
  Compare 92 and -78
  Swap 92 and -78
  List after swap: [14, 38, -21, -78, 92, -63, 86]
  Compare 92 and -63
  Swap 92 and -63
  List after swap: [14, 38, -21, -78, -63, 92, 86]
  Compare 92 and 86
  Swap 92 and 86
  List after swap: [14, 38, -21, -78, -63, 86, 92]

Pass 2:
  Compare 14 and 38
  No swap needed
  Compare 38 and -21
  Swap 38 and -21
  List after swap: [14, -21, 38, -78, -63, 86, 92]
  Compare 38 and -78
  Swap 38 and -78
  List after swap: [14, -21, -78, 38, -63, 86, 92]
  Compare 38 and -63
  Swap 38 and -63
  List after swap: [14, -21, -78, -63, 38, 86, 92]
  Compare 38 and 86
  No swap needed

Pass 3:
  Compare 14 and -21
  Swap 14 and -21
  List after swap: [-21, 14, -78, -63, 38, 86, 92]
  Compare 14 and -78
  Swap 14 and -78
  List after swap: [-21, -78, 14, -63, 38, 86, 92]
  Compare 14 and -63
  Swap 14 and -63
  List after swap: [-21, -78, -63, 14, 38, 86, 92]
  Compare 14 and 38
  No swap needed

Pass 4:
  Compare -21 and -78
  Swap -21 and -78
  List after swap: [-78, -21, -63, 14, 38, 86, 92]
  Compare -21 and -63
  Swap -21 and -63
  List after swap: [-78, -63, -21, 14, 38, 86, 92]
  Compare -21 and 14
  No swap needed

Pass 5:
  Compare -78 and -63
  No swap needed
  Compare -63 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -63, -21, 14, 38, 86, 92]
</think>

<response>-78, -63, -21, 14, 38, 86, 92</response>


input: Use the bubble sort technique to reorder 87, 1, 19, 48, -9 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [87, 1, 19, 48, -9]

Pass 1:
  Compare 87 and 1
  Swap 87 and 1
  List after swap: [1, 87, 19, 48, -9]
  Compare 87 and 19
  Swap 87 and 19
  List after swap: [1, 19, 87, 48, -9]
  Compare 87 and 48
  Swap 87 and 48
  List after swap: [1, 19, 48, 87, -9]
  Compare 87 and -9
  Swap 87 and -9
  List after swap: [1, 19, 48, -9, 87]

Pass 2:
  Compare 1 and 19
  No swap needed
  Compare 19 and 48
  No swap needed
  Compare 48 and -9
  Swap 48 and -9
  List after swap: [1, 19, -9, 48, 87]

Pass 3:
  Compare 1 and 19
  No swap needed
  Compare 19 and -9
  Swap 19 and -9
  List after swap: [1, -9, 19, 48, 87]

Pass 4:
  Compare 1 and -9
  Swap 1 and -9
  List after swap: [-9, 1, 19, 48, 87]

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

Final sorted list: [-9, 1, 19, 48, 87]
</think>

<response>-9, 1, 19, 48, 87</response>


input: Implement bubble sort on 59, -46, -3, -41 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [59, -46, -3, -41]

Pass 1:
  Compare 59 and -46
  Swap 59 and -46
  List after swap: [-46, 59, -3, -41]
  Compare 59 and -3
  Swap 59 and -3
  List after swap: [-46, -3, 59, -41]
  Compare 59 and -41
  Swap 59 and -41
  List after swap: [-46, -3, -41, 59]

Pass 2:
  Compare -46 and -3
  No swap needed
  Compare -3 and -41
  Swap -3 and -41
  List after swap: [-46, -41, -3, 59]

Pass 3:
  Compare -46 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-46, -41, -3, 59]
</think>

<response>-46, -41, -3, 59</response>


input: Use the bubble sort technique to reorder -50, 36, 60 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-50, 36, 60]

Pass 1:
  Compare -50 and 36
  No swap needed
  Compare 36 and 60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, 36, 60]
</think>

<response>-50, 36, 60</response>


input: Using the bubble sort method, sort -67, -3, 61, 78 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-67, -3, 61, 78]

Pass 1:
  Compare -67 and -3
  No swap needed
  Compare -3 and 61
  No swap needed
  Compare 61 and 78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -3, 61, 78]
</think>

<response>-67, -3, 61, 78</response>


input: Execute bubble sort to sort -27, 53, 71, -13 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-27, 53, 71, -13]

Pass 1:
  Compare -27 and 53
  No swap needed
  Compare 53 and 71
  No swap needed
  Compare 71 and -13
  Swap 71 and -13
  List after swap: [-27, 53, -13, 71]

Pass 2:
  Compare -27 and 53
  No swap needed
  Compare 53 and -13
  Swap 53 and -13
  List after swap: [-27, -13, 53, 71]

Pass 3:
  Compare -27 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-27, -13, 53, 71]
</think>

<response>-27, -13, 53, 71</response>


input: Sort the list -96, 4, -43, -92, -90, -11, -45, -23 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-96, 4, -43, -92, -90, -11, -45, -23]

Pass 1:
  Compare -96 and 4
  No swap needed
  Compare 4 and -43
  Swap 4 and -43
  List after swap: [-96, -43, 4, -92, -90, -11, -45, -23]
  Compare 4 and -92
  Swap 4 and -92
  List after swap: [-96, -43, -92, 4, -90, -11, -45, -23]
  Compare 4 and -90
  Swap 4 and -90
  List after swap: [-96, -43, -92, -90, 4, -11, -45, -23]
  Compare 4 and -11
  Swap 4 and -11
  List after swap: [-96, -43, -92, -90, -11, 4, -45, -23]
  Compare 4 and -45
  Swap 4 and -45
  List after swap: [-96, -43, -92, -90, -11, -45, 4, -23]
  Compare 4 and -23
  Swap 4 and -23
  List after swap: [-96, -43, -92, -90, -11, -45, -23, 4]

Pass 2:
  Compare -96 and -43
  No swap needed
  Compare -43 and -92
  Swap -43 and -92
  List after swap: [-96, -92, -43, -90, -11, -45, -23, 4]
  Compare -43 and -90
  Swap -43 and -90
  List after swap: [-96, -92, -90, -43, -11, -45, -23, 4]
  Compare -43 and -11
  No swap needed
  Compare -11 and -45
  Swap -11 and -45
  List after swap: [-96, -92, -90, -43, -45, -11, -23, 4]
  Compare -11 and -23
  Swap -11 and -23
  List after swap: [-96, -92, -90, -43, -45, -23, -11, 4]

Pass 3:
  Compare -96 and -92
  No swap needed
  Compare -92 and -90
  No swap needed
  Compare -90 and -43
  No swap needed
  Compare -43 and -45
  Swap -43 and -45
  List after swap: [-96, -92, -90, -45, -43, -23, -11, 4]
  Compare -43 and -23
  No swap needed

Pass 4:
  Compare -96 and -92
  No swap needed
  Compare -92 and -90
  No swap needed
  Compare -90 and -45
  No swap needed
  Compare -45 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -92, -90, -45, -43, -23, -11, 4]
</think>

<response>-96, -92, -90, -45, -43, -23, -11, 4</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -19, -51, -24, -69, -11, -21, -9, 84, 7, -17.

output:
<think>
Initial list: [-19, -51, -24, -69, -11, -21, -9, 84, 7, -17]

Pass 1:
  Compare -19 and -51
  Swap -19 and -51
  List after swap: [-51, -19, -24, -69, -11, -21, -9, 84, 7, -17]
  Compare -19 and -24
  Swap -19 and -24
  List after swap: [-51, -24, -19, -69, -11, -21, -9, 84, 7, -17]
  Compare -19 and -69
  Swap -19 and -69
  List after swap: [-51, -24, -69, -19, -11, -21, -9, 84, 7, -17]
  Compare -19 and -11
  No swap needed
  Compare -11 and -21
  Swap -11 and -21
  List after swap: [-51, -24, -69, -19, -21, -11, -9, 84, 7, -17]
  Compare -11 and -9
  No swap needed
  Compare -9 and 84
  No swap needed
  Compare 84 and 7
  Swap 84 and 7
  List after swap: [-51, -24, -69, -19, -21, -11, -9, 7, 84, -17]
  Compare 84 and -17
  Swap 84 and -17
  List after swap: [-51, -24, -69, -19, -21, -11, -9, 7, -17, 84]

Pass 2:
  Compare -51 and -24
  No swap needed
  Compare -24 and -69
  Swap -24 and -69
  List after swap: [-51, -69, -24, -19, -21, -11, -9, 7, -17, 84]
  Compare -24 and -19
  No swap needed
  Compare -19 and -21
  Swap -19 and -21
  List after swap: [-51, -69, -24, -21, -19, -11, -9, 7, -17, 84]
  Compare -19 and -11
  No swap needed
  Compare -11 and -9
  No swap needed
  Compare -9 and 7
  No swap needed
  Compare 7 and -17
  Swap 7 and -17
  List after swap: [-51, -69, -24, -21, -19, -11, -9, -17, 7, 84]

Pass 3:
  Compare -51 and -69
  Swap -51 and -69
  List after swap: [-69, -51, -24, -21, -19, -11, -9, -17, 7, 84]
  Compare -51 and -24
  No swap needed
  Compare -24 and -21
  No swap needed
  Compare -21 and -19
  No swap needed
  Compare -19 and -11
  No swap needed
  Compare -11 and -9
  No swap needed
  Compare -9 and -17
  Swap -9 and -17
  List after swap: [-69, -51, -24, -21, -19, -11, -17, -9, 7, 84]

Pass 4:
  Compare -69 and -51
  No swap needed
  Compare -51 and -24
  No swap needed
  Compare -24 and -21
  No swap needed
  Compare -21 and -19
  No swap needed
  Compare -19 and -11
  No swap needed
  Compare -11 and -17
  Swap -11 and -17
  List after swap: [-69, -51, -24, -21, -19, -17, -11, -9, 7, 84]

Pass 5:
  Compare -69 and -51
  No swap needed
  Compare -51 and -24
  No swap needed
  Compare -24 and -21
  No swap needed
  Compare -21 and -19
  No swap needed
  Compare -19 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -51, -24, -21, -19, -17, -11, -9, 7, 84]
</think>

<response>-69, -51, -24, -21, -19, -17, -11, -9, 7, 84</response>


input: Use the bubble sort technique to reorder 25, -84, 40, 80, 53, -92, -4, -94, 26, 6 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [25, -84, 40, 80, 53, -92, -4, -94, 26, 6]

Pass 1:
  Compare 25 and -84
  Swap 25 and -84
  List after swap: [-84, 25, 40, 80, 53, -92, -4, -94, 26, 6]
  Compare 25 and 40
  No swap needed
  Compare 40 and 80
  No swap needed
  Compare 80 and 53
  Swap 80 and 53
  List after swap: [-84, 25, 40, 53, 80, -92, -4, -94, 26, 6]
  Compare 80 and -92
  Swap 80 and -92
  List after swap: [-84, 25, 40, 53, -92, 80, -4, -94, 26, 6]
  Compare 80 and -4
  Swap 80 and -4
  List after swap: [-84, 25, 40, 53, -92, -4, 80, -94, 26, 6]
  Compare 80 and -94
  Swap 80 and -94
  List after swap: [-84, 25, 40, 53, -92, -4, -94, 80, 26, 6]
  Compare 80 and 26
  Swap 80 and 26
  List after swap: [-84, 25, 40, 53, -92, -4, -94, 26, 80, 6]
  Compare 80 and 6
  Swap 80 and 6
  List after swap: [-84, 25, 40, 53, -92, -4, -94, 26, 6, 80]

Pass 2:
  Compare -84 and 25
  No swap needed
  Compare 25 and 40
  No swap needed
  Compare 40 and 53
  No swap needed
  Compare 53 and -92
  Swap 53 and -92
  List after swap: [-84, 25, 40, -92, 53, -4, -94, 26, 6, 80]
  Compare 53 and -4
  Swap 53 and -4
  List after swap: [-84, 25, 40, -92, -4, 53, -94, 26, 6, 80]
  Compare 53 and -94
  Swap 53 and -94
  List after swap: [-84, 25, 40, -92, -4, -94, 53, 26, 6, 80]
  Compare 53 and 26
  Swap 53 and 26
  List after swap: [-84, 25, 40, -92, -4, -94, 26, 53, 6, 80]
  Compare 53 and 6
  Swap 53 and 6
  List after swap: [-84, 25, 40, -92, -4, -94, 26, 6, 53, 80]

Pass 3:
  Compare -84 and 25
  No swap needed
  Compare 25 and 40
  No swap needed
  Compare 40 and -92
  Swap 40 and -92
  List after swap: [-84, 25, -92, 40, -4, -94, 26, 6, 53, 80]
  Compare 40 and -4
  Swap 40 and -4
  List after swap: [-84, 25, -92, -4, 40, -94, 26, 6, 53, 80]
  Compare 40 and -94
  Swap 40 and -94
  List after swap: [-84, 25, -92, -4, -94, 40, 26, 6, 53, 80]
  Compare 40 and 26
  Swap 40 and 26
  List after swap: [-84, 25, -92, -4, -94, 26, 40, 6, 53, 80]
  Compare 40 and 6
  Swap 40 and 6
  List after swap: [-84, 25, -92, -4, -94, 26, 6, 40, 53, 80]

Pass 4:
  Compare -84 and 25
  No swap needed
  Compare 25 and -92
  Swap 25 and -92
  List after swap: [-84, -92, 25, -4, -94, 26, 6, 40, 53, 80]
  Compare 25 and -4
  Swap 25 and -4
  List after swap: [-84, -92, -4, 25, -94, 26, 6, 40, 53, 80]
  Compare 25 and -94
  Swap 25 and -94
  List after swap: [-84, -92, -4, -94, 25, 26, 6, 40, 53, 80]
  Compare 25 and 26
  No swap needed
  Compare 26 and 6
  Swap 26 and 6
  List after swap: [-84, -92, -4, -94, 25, 6, 26, 40, 53, 80]

Pass 5:
  Compare -84 and -92
  Swap -84 and -92
  List after swap: [-92, -84, -4, -94, 25, 6, 26, 40, 53, 80]
  Compare -84 and -4
  No swap needed
  Compare -4 and -94
  Swap -4 and -94
  List after swap: [-92, -84, -94, -4, 25, 6, 26, 40, 53, 80]
  Compare -4 and 25
  No swap needed
  Compare 25 and 6
  Swap 25 and 6
  List after swap: [-92, -84, -94, -4, 6, 25, 26, 40, 53, 80]

Pass 6:
  Compare -92 and -84
  No swap needed
  Compare -84 and -94
  Swap -84 and -94
  List after swap: [-92, -94, -84, -4, 6, 25, 26, 40, 53, 80]
  Compare -84 and -4
  No swap needed
  Compare -4 and 6
  No swap needed

Pass 7:
  Compare -92 and -94
  Swap -92 and -94
  List after swap: [-94, -92, -84, -4, 6, 25, 26, 40, 53, 80]
  Compare -92 and -84
  No swap needed
  Compare -84 and -4
  No swap needed

Pass 8:
  Compare -94 and -92
  No swap needed
  Compare -92 and -84
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -92, -84, -4, 6, 25, 26, 40, 53, 80]
</think>

<response>-94, -92, -84, -4, 6, 25, 26, 40, 53, 80</response>


input: Demonstrate how bubble sort orders the integers 35, -67, 90, 40 in ascending sequence, showing all steps.

output:
<think>
Initial list: [35, -67, 90, 40]

Pass 1:
  Compare 35 and -67
  Swap 35 and -67
  List after swap: [-67, 35, 90, 40]
  Compare 35 and 90
  No swap needed
  Compare 90 and 40
  Swap 90 and 40
  List after swap: [-67, 35, 40, 90]

Pass 2:
  Compare -67 and 35
  No swap needed
  Compare 35 and 40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, 35, 40, 90]
</think>

<response>-67, 35, 40, 90</response>


input: Use the bubble sort technique to reorder 69, 59, 54, -55, 77, 45, -59, -99 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [69, 59, 54, -55, 77, 45, -59, -99]

Pass 1:
  Compare 69 and 59
  Swap 69 and 59
  List after swap: [59, 69, 54, -55, 77, 45, -59, -99]
  Compare 69 and 54
  Swap 69 and 54
  List after swap: [59, 54, 69, -55, 77, 45, -59, -99]
  Compare 69 and -55
  Swap 69 and -55
  List after swap: [59, 54, -55, 69, 77, 45, -59, -99]
  Compare 69 and 77
  No swap needed
  Compare 77 and 45
  Swap 77 and 45
  List after swap: [59, 54, -55, 69, 45, 77, -59, -99]
  Compare 77 and -59
  Swap 77 and -59
  List after swap: [59, 54, -55, 69, 45, -59, 77, -99]
  Compare 77 and -99
  Swap 77 and -99
  List after swap: [59, 54, -55, 69, 45, -59, -99, 77]

Pass 2:
  Compare 59 and 54
  Swap 59 and 54
  List after swap: [54, 59, -55, 69, 45, -59, -99, 77]
  Compare 59 and -55
  Swap 59 and -55
  List after swap: [54, -55, 59, 69, 45, -59, -99, 77]
  Compare 59 and 69
  No swap needed
  Compare 69 and 45
  Swap 69 and 45
  List after swap: [54, -55, 59, 45, 69, -59, -99, 77]
  Compare 69 and -59
  Swap 69 and -59
  List after swap: [54, -55, 59, 45, -59, 69, -99, 77]
  Compare 69 and -99
  Swap 69 and -99
  List after swap: [54, -55, 59, 45, -59, -99, 69, 77]

Pass 3:
  Compare 54 and -55
  Swap 54 and -55
  List after swap: [-55, 54, 59, 45, -59, -99, 69, 77]
  Compare 54 and 59
  No swap needed
  Compare 59 and 45
  Swap 59 and 45
  List after swap: [-55, 54, 45, 59, -59, -99, 69, 77]
  Compare 59 and -59
  Swap 59 and -59
  List after swap: [-55, 54, 45, -59, 59, -99, 69, 77]
  Compare 59 and -99
  Swap 59 and -99
  List after swap: [-55, 54, 45, -59, -99, 59, 69, 77]

Pass 4:
  Compare -55 and 54
  No swap needed
  Compare 54 and 45
  Swap 54 and 45
  List after swap: [-55, 45, 54, -59, -99, 59, 69, 77]
  Compare 54 and -59
  Swap 54 and -59
  List after swap: [-55, 45, -59, 54, -99, 59, 69, 77]
  Compare 54 and -99
  Swap 54 and -99
  List after swap: [-55, 45, -59, -99, 54, 59, 69, 77]

Pass 5:
  Compare -55 and 45
  No swap needed
  Compare 45 and -59
  Swap 45 and -59
  List after swap: [-55, -59, 45, -99, 54, 59, 69, 77]
  Compare 45 and -99
  Swap 45 and -99
  List after swap: [-55, -59, -99, 45, 54, 59, 69, 77]

Pass 6:
  Compare -55 and -59
  Swap -55 and -59
  List after swap: [-59, -55, -99, 45, 54, 59, 69, 77]
  Compare -55 and -99
  Swap -55 and -99
  List after swap: [-59, -99, -55, 45, 54, 59, 69, 77]

Pass 7:
  Compare -59 and -99
  Swap -59 and -99
  List after swap: [-99, -59, -55, 45, 54, 59, 69, 77]

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

Final sorted list: [-99, -59, -55, 45, 54, 59, 69, 77]
</think>

<response>-99, -59, -55, 45, 54, 59, 69, 77</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 95, -87, 76, -2, -71.

output:
<think>
Initial list: [95, -87, 76, -2, -71]

Pass 1:
  Compare 95 and -87
  Swap 95 and -87
  List after swap: [-87, 95, 76, -2, -71]
  Compare 95 and 76
  Swap 95 and 76
  List after swap: [-87, 76, 95, -2, -71]
  Compare 95 and -2
  Swap 95 and -2
  List after swap: [-87, 76, -2, 95, -71]
  Compare 95 and -71
  Swap 95 and -71
  List after swap: [-87, 76, -2, -71, 95]

Pass 2:
  Compare -87 and 76
  No swap needed
  Compare 76 and -2
  Swap 76 and -2
  List after swap: [-87, -2, 76, -71, 95]
  Compare 76 and -71
  Swap 76 and -71
  List after swap: [-87, -2, -71, 76, 95]

Pass 3:
  Compare -87 and -2
  No swap needed
  Compare -2 and -71
  Swap -2 and -71
  List after swap: [-87, -71, -2, 76, 95]

Pass 4:
  Compare -87 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -71, -2, 76, 95]
</think>

<response>-87, -71, -2, 76, 95</response>


input: Sort the list 79, -59, -34, -7, 6, -55 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [79, -59, -34, -7, 6, -55]

Pass 1:
  Compare 79 and -59
  Swap 79 and -59
  List after swap: [-59, 79, -34, -7, 6, -55]
  Compare 79 and -34
  Swap 79 and -34
  List after swap: [-59, -34, 79, -7, 6, -55]
  Compare 79 and -7
  Swap 79 and -7
  List after swap: [-59, -34, -7, 79, 6, -55]
  Compare 79 and 6
  Swap 79 and 6
  List after swap: [-59, -34, -7, 6, 79, -55]
  Compare 79 and -55
  Swap 79 and -55
  List after swap: [-59, -34, -7, 6, -55, 79]

Pass 2:
  Compare -59 and -34
  No swap needed
  Compare -34 and -7
  No swap needed
  Compare -7 and 6
  No swap needed
  Compare 6 and -55
  Swap 6 and -55
  List after swap: [-59, -34, -7, -55, 6, 79]

Pass 3:
  Compare -59 and -34
  No swap needed
  Compare -34 and -7
  No swap needed
  Compare -7 and -55
  Swap -7 and -55
  List after swap: [-59, -34, -55, -7, 6, 79]

Pass 4:
  Compare -59 and -34
  No swap needed
  Compare -34 and -55
  Swap -34 and -55
  List after swap: [-59, -55, -34, -7, 6, 79]

Pass 5:
  Compare -59 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, -55, -34, -7, 6, 79]
</think>

<response>-59, -55, -34, -7, 6, 79</response>


input: Use the bubble sort technique to reorder -91, 53, 31, 77, -88, -59, 42 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-91, 53, 31, 77, -88, -59, 42]

Pass 1:
  Compare -91 and 53
  No swap needed
  Compare 53 and 31
  Swap 53 and 31
  List after swap: [-91, 31, 53, 77, -88, -59, 42]
  Compare 53 and 77
  No swap needed
  Compare 77 and -88
  Swap 77 and -88
  List after swap: [-91, 31, 53, -88, 77, -59, 42]
  Compare 77 and -59
  Swap 77 and -59
  List after swap: [-91, 31, 53, -88, -59, 77, 42]
  Compare 77 and 42
  Swap 77 and 42
  List after swap: [-91, 31, 53, -88, -59, 42, 77]

Pass 2:
  Compare -91 and 31
  No swap needed
  Compare 31 and 53
  No swap needed
  Compare 53 and -88
  Swap 53 and -88
  List after swap: [-91, 31, -88, 53, -59, 42, 77]
  Compare 53 and -59
  Swap 53 and -59
  List after swap: [-91, 31, -88, -59, 53, 42, 77]
  Compare 53 and 42
  Swap 53 and 42
  List after swap: [-91, 31, -88, -59, 42, 53, 77]

Pass 3:
  Compare -91 and 31
  No swap needed
  Compare 31 and -88
  Swap 31 and -88
  List after swap: [-91, -88, 31, -59, 42, 53, 77]
  Compare 31 and -59
  Swap 31 and -59
  List after swap: [-91, -88, -59, 31, 42, 53, 77]
  Compare 31 and 42
  No swap needed

Pass 4:
  Compare -91 and -88
  No swap needed
  Compare -88 and -59
  No swap needed
  Compare -59 and 31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -88, -59, 31, 42, 53, 77]
</think>

<response>-91, -88, -59, 31, 42, 53, 77</response>


input: Implement bubble sort on -70, 33, -34 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-70, 33, -34]

Pass 1:
  Compare -70 and 33
  No swap needed
  Compare 33 and -34
  Swap 33 and -34
  List after swap: [-70, -34, 33]

Pass 2:
  Compare -70 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -34, 33]
</think>

<response>-70, -34, 33</response>


input: Use the bubble sort technique to reorder -90, 34 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-90, 34]

Pass 1:
  Compare -90 and 34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, 34]
</think>

<response>-90, 34</response>


input: Sort these integers 14, -20 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [14, -20]

Pass 1:
  Compare 14 and -20
  Swap 14 and -20
  List after swap: [-20, 14]

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

Final sorted list: [-20, 14]
</think>

<response>-20, 14</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -89, -32, 0, -40.

output:
<think>
Initial list: [-89, -32, 0, -40]

Pass 1:
  Compare -89 and -32
  No swap needed
  Compare -32 and 0
  No swap needed
  Compare 0 and -40
  Swap 0 and -40
  List after swap: [-89, -32, -40, 0]

Pass 2:
  Compare -89 and -32
  No swap needed
  Compare -32 and -40
  Swap -32 and -40
  List after swap: [-89, -40, -32, 0]

Pass 3:
  Compare -89 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -40, -32, 0]
</think>

<response>-89, -40, -32, 0</response>


input: Carry out the bubble sort algorithm on -72, 35, 20, 51, -70, -8 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-72, 35, 20, 51, -70, -8]

Pass 1:
  Compare -72 and 35
  No swap needed
  Compare 35 and 20
  Swap 35 and 20
  List after swap: [-72, 20, 35, 51, -70, -8]
  Compare 35 and 51
  No swap needed
  Compare 51 and -70
  Swap 51 and -70
  List after swap: [-72, 20, 35, -70, 51, -8]
  Compare 51 and -8
  Swap 51 and -8
  List after swap: [-72, 20, 35, -70, -8, 51]

Pass 2:
  Compare -72 and 20
  No swap needed
  Compare 20 and 35
  No swap needed
  Compare 35 and -70
  Swap 35 and -70
  List after swap: [-72, 20, -70, 35, -8, 51]
  Compare 35 and -8
  Swap 35 and -8
  List after swap: [-72, 20, -70, -8, 35, 51]

Pass 3:
  Compare -72 and 20
  No swap needed
  Compare 20 and -70
  Swap 20 and -70
  List after swap: [-72, -70, 20, -8, 35, 51]
  Compare 20 and -8
  Swap 20 and -8
  List after swap: [-72, -70, -8, 20, 35, 51]

Pass 4:
  Compare -72 and -70
  No swap needed
  Compare -70 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -70, -8, 20, 35, 51]
</think>

<response>-72, -70, -8, 20, 35, 51</response>


input: Sort the list 11, -39, 17, 19, -90, -6, -44, -17, -41, -93 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [11, -39, 17, 19, -90, -6, -44, -17, -41, -93]

Pass 1:
  Compare 11 and -39
  Swap 11 and -39
  List after swap: [-39, 11, 17, 19, -90, -6, -44, -17, -41, -93]
  Compare 11 and 17
  No swap needed
  Compare 17 and 19
  No swap needed
  Compare 19 and -90
  Swap 19 and -90
  List after swap: [-39, 11, 17, -90, 19, -6, -44, -17, -41, -93]
  Compare 19 and -6
  Swap 19 and -6
  List after swap: [-39, 11, 17, -90, -6, 19, -44, -17, -41, -93]
  Compare 19 and -44
  Swap 19 and -44
  List after swap: [-39, 11, 17, -90, -6, -44, 19, -17, -41, -93]
  Compare 19 and -17
  Swap 19 and -17
  List after swap: [-39, 11, 17, -90, -6, -44, -17, 19, -41, -93]
  Compare 19 and -41
  Swap 19 and -41
  List after swap: [-39, 11, 17, -90, -6, -44, -17, -41, 19, -93]
  Compare 19 and -93
  Swap 19 and -93
  List after swap: [-39, 11, 17, -90, -6, -44, -17, -41, -93, 19]

Pass 2:
  Compare -39 and 11
  No swap needed
  Compare 11 and 17
  No swap needed
  Compare 17 and -90
  Swap 17 and -90
  List after swap: [-39, 11, -90, 17, -6, -44, -17, -41, -93, 19]
  Compare 17 and -6
  Swap 17 and -6
  List after swap: [-39, 11, -90, -6, 17, -44, -17, -41, -93, 19]
  Compare 17 and -44
  Swap 17 and -44
  List after swap: [-39, 11, -90, -6, -44, 17, -17, -41, -93, 19]
  Compare 17 and -17
  Swap 17 and -17
  List after swap: [-39, 11, -90, -6, -44, -17, 17, -41, -93, 19]
  Compare 17 and -41
  Swap 17 and -41
  List after swap: [-39, 11, -90, -6, -44, -17, -41, 17, -93, 19]
  Compare 17 and -93
  Swap 17 and -93
  List after swap: [-39, 11, -90, -6, -44, -17, -41, -93, 17, 19]

Pass 3:
  Compare -39 and 11
  No swap needed
  Compare 11 and -90
  Swap 11 and -90
  List after swap: [-39, -90, 11, -6, -44, -17, -41, -93, 17, 19]
  Compare 11 and -6
  Swap 11 and -6
  List after swap: [-39, -90, -6, 11, -44, -17, -41, -93, 17, 19]
  Compare 11 and -44
  Swap 11 and -44
  List after swap: [-39, -90, -6, -44, 11, -17, -41, -93, 17, 19]
  Compare 11 and -17
  Swap 11 and -17
  List after swap: [-39, -90, -6, -44, -17, 11, -41, -93, 17, 19]
  Compare 11 and -41
  Swap 11 and -41
  List after swap: [-39, -90, -6, -44, -17, -41, 11, -93, 17, 19]
  Compare 11 and -93
  Swap 11 and -93
  List after swap: [-39, -90, -6, -44, -17, -41, -93, 11, 17, 19]

Pass 4:
  Compare -39 and -90
  Swap -39 and -90
  List after swap: [-90, -39, -6, -44, -17, -41, -93, 11, 17, 19]
  Compare -39 and -6
  No swap needed
  Compare -6 and -44
  Swap -6 and -44
  List after swap: [-90, -39, -44, -6, -17, -41, -93, 11, 17, 19]
  Compare -6 and -17
  Swap -6 and -17
  List after swap: [-90, -39, -44, -17, -6, -41, -93, 11, 17, 19]
  Compare -6 and -41
  Swap -6 and -41
  List after swap: [-90, -39, -44, -17, -41, -6, -93, 11, 17, 19]
  Compare -6 and -93
  Swap -6 and -93
  List after swap: [-90, -39, -44, -17, -41, -93, -6, 11, 17, 19]

Pass 5:
  Compare -90 and -39
  No swap needed
  Compare -39 and -44
  Swap -39 and -44
  List after swap: [-90, -44, -39, -17, -41, -93, -6, 11, 17, 19]
  Compare -39 and -17
  No swap needed
  Compare -17 and -41
  Swap -17 and -41
  List after swap: [-90, -44, -39, -41, -17, -93, -6, 11, 17, 19]
  Compare -17 and -93
  Swap -17 and -93
  List after swap: [-90, -44, -39, -41, -93, -17, -6, 11, 17, 19]

Pass 6:
  Compare -90 and -44
  No swap needed
  Compare -44 and -39
  No swap needed
  Compare -39 and -41
  Swap -39 and -41
  List after swap: [-90, -44, -41, -39, -93, -17, -6, 11, 17, 19]
  Compare -39 and -93
  Swap -39 and -93
  List after swap: [-90, -44, -41, -93, -39, -17, -6, 11, 17, 19]

Pass 7:
  Compare -90 and -44
  No swap needed
  Compare -44 and -41
  No swap needed
  Compare -41 and -93
  Swap -41 and -93
  List after swap: [-90, -44, -93, -41, -39, -17, -6, 11, 17, 19]

Pass 8:
  Compare -90 and -44
  No swap needed
  Compare -44 and -93
  Swap -44 and -93
  List after swap: [-90, -93, -44, -41, -39, -17, -6, 11, 17, 19]

Pass 9:
  Compare -90 and -93
  Swap -90 and -93
  List after swap: [-93, -90, -44, -41, -39, -17, -6, 11, 17, 19]

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

Final sorted list: [-93, -90, -44, -41, -39, -17, -6, 11, 17, 19]
</think>

<response>-93, -90, -44, -41, -39, -17, -6, 11, 17, 19</response>


input: Use the bubble sort technique to reorder -55, 83, 84, -19, -9, -47 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-55, 83, 84, -19, -9, -47]

Pass 1:
  Compare -55 and 83
  No swap needed
  Compare 83 and 84
  No swap needed
  Compare 84 and -19
  Swap 84 and -19
  List after swap: [-55, 83, -19, 84, -9, -47]
  Compare 84 and -9
  Swap 84 and -9
  List after swap: [-55, 83, -19, -9, 84, -47]
  Compare 84 and -47
  Swap 84 and -47
  List after swap: [-55, 83, -19, -9, -47, 84]

Pass 2:
  Compare -55 and 83
  No swap needed
  Compare 83 and -19
  Swap 83 and -19
  List after swap: [-55, -19, 83, -9, -47, 84]
  Compare 83 and -9
  Swap 83 and -9
  List after swap: [-55, -19, -9, 83, -47, 84]
  Compare 83 and -47
  Swap 83 and -47
  List after swap: [-55, -19, -9, -47, 83, 84]

Pass 3:
  Compare -55 and -19
  No swap needed
  Compare -19 and -9
  No swap needed
  Compare -9 and -47
  Swap -9 and -47
  List after swap: [-55, -19, -47, -9, 83, 84]

Pass 4:
  Compare -55 and -19
  No swap needed
  Compare -19 and -47
  Swap -19 and -47
  List after swap: [-55, -47, -19, -9, 83, 84]

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

Final sorted list: [-55, -47, -19, -9, 83, 84]
</think>

<response>-55, -47, -19, -9, 83, 84</response>


input: Execute bubble sort to sort -59, -36, -23, -47, -63, -73, -17, -20, -78 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-59, -36, -23, -47, -63, -73, -17, -20, -78]

Pass 1:
  Compare -59 and -36
  No swap needed
  Compare -36 and -23
  No swap needed
  Compare -23 and -47
  Swap -23 and -47
  List after swap: [-59, -36, -47, -23, -63, -73, -17, -20, -78]
  Compare -23 and -63
  Swap -23 and -63
  List after swap: [-59, -36, -47, -63, -23, -73, -17, -20, -78]
  Compare -23 and -73
  Swap -23 and -73
  List after swap: [-59, -36, -47, -63, -73, -23, -17, -20, -78]
  Compare -23 and -17
  No swap needed
  Compare -17 and -20
  Swap -17 and -20
  List after swap: [-59, -36, -47, -63, -73, -23, -20, -17, -78]
  Compare -17 and -78
  Swap -17 and -78
  List after swap: [-59, -36, -47, -63, -73, -23, -20, -78, -17]

Pass 2:
  Compare -59 and -36
  No swap needed
  Compare -36 and -47
  Swap -36 and -47
  List after swap: [-59, -47, -36, -63, -73, -23, -20, -78, -17]
  Compare -36 and -63
  Swap -36 and -63
  List after swap: [-59, -47, -63, -36, -73, -23, -20, -78, -17]
  Compare -36 and -73
  Swap -36 and -73
  List after swap: [-59, -47, -63, -73, -36, -23, -20, -78, -17]
  Compare -36 and -23
  No swap needed
  Compare -23 and -20
  No swap needed
  Compare -20 and -78
  Swap -20 and -78
  List after swap: [-59, -47, -63, -73, -36, -23, -78, -20, -17]

Pass 3:
  Compare -59 and -47
  No swap needed
  Compare -47 and -63
  Swap -47 and -63
  List after swap: [-59, -63, -47, -73, -36, -23, -78, -20, -17]
  Compare -47 and -73
  Swap -47 and -73
  List after swap: [-59, -63, -73, -47, -36, -23, -78, -20, -17]
  Compare -47 and -36
  No swap needed
  Compare -36 and -23
  No swap needed
  Compare -23 and -78
  Swap -23 and -78
  List after swap: [-59, -63, -73, -47, -36, -78, -23, -20, -17]

Pass 4:
  Compare -59 and -63
  Swap -59 and -63
  List after swap: [-63, -59, -73, -47, -36, -78, -23, -20, -17]
  Compare -59 and -73
  Swap -59 and -73
  List after swap: [-63, -73, -59, -47, -36, -78, -23, -20, -17]
  Compare -59 and -47
  No swap needed
  Compare -47 and -36
  No swap needed
  Compare -36 and -78
  Swap -36 and -78
  List after swap: [-63, -73, -59, -47, -78, -36, -23, -20, -17]

Pass 5:
  Compare -63 and -73
  Swap -63 and -73
  List after swap: [-73, -63, -59, -47, -78, -36, -23, -20, -17]
  Compare -63 and -59
  No swap needed
  Compare -59 and -47
  No swap needed
  Compare -47 and -78
  Swap -47 and -78
  List after swap: [-73, -63, -59, -78, -47, -36, -23, -20, -17]

Pass 6:
  Compare -73 and -63
  No swap needed
  Compare -63 and -59
  No swap needed
  Compare -59 and -78
  Swap -59 and -78
  List after swap: [-73, -63, -78, -59, -47, -36, -23, -20, -17]

Pass 7:
  Compare -73 and -63
  No swap needed
  Compare -63 and -78
  Swap -63 and -78
  List after swap: [-73, -78, -63, -59, -47, -36, -23, -20, -17]

Pass 8:
  Compare -73 and -78
  Swap -73 and -78
  List after swap: [-78, -73, -63, -59, -47, -36, -23, -20, -17]

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

Final sorted list: [-78, -73, -63, -59, -47, -36, -23, -20, -17]
</think>

<response>-78, -73, -63, -59, -47, -36, -23, -20, -17</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -13, 49, -87, -24.

output:
<think>
Initial list: [-13, 49, -87, -24]

Pass 1:
  Compare -13 and 49
  No swap needed
  Compare 49 and -87
  Swap 49 and -87
  List after swap: [-13, -87, 49, -24]
  Compare 49 and -24
  Swap 49 and -24
  List after swap: [-13, -87, -24, 49]

Pass 2:
  Compare -13 and -87
  Swap -13 and -87
  List after swap: [-87, -13, -24, 49]
  Compare -13 and -24
  Swap -13 and -24
  List after swap: [-87, -24, -13, 49]

Pass 3:
  Compare -87 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -24, -13, 49]
</think>

<response>-87, -24, -13, 49</response>


input: Implement bubble sort on 46, 42, 39, -100, 3, -83, -67, 4 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [46, 42, 39, -100, 3, -83, -67, 4]

Pass 1:
  Compare 46 and 42
  Swap 46 and 42
  List after swap: [42, 46, 39, -100, 3, -83, -67, 4]
  Compare 46 and 39
  Swap 46 and 39
  List after swap: [42, 39, 46, -100, 3, -83, -67, 4]
  Compare 46 and -100
  Swap 46 and -100
  List after swap: [42, 39, -100, 46, 3, -83, -67, 4]
  Compare 46 and 3
  Swap 46 and 3
  List after swap: [42, 39, -100, 3, 46, -83, -67, 4]
  Compare 46 and -83
  Swap 46 and -83
  List after swap: [42, 39, -100, 3, -83, 46, -67, 4]
  Compare 46 and -67
  Swap 46 and -67
  List after swap: [42, 39, -100, 3, -83, -67, 46, 4]
  Compare 46 and 4
  Swap 46 and 4
  List after swap: [42, 39, -100, 3, -83, -67, 4, 46]

Pass 2:
  Compare 42 and 39
  Swap 42 and 39
  List after swap: [39, 42, -100, 3, -83, -67, 4, 46]
  Compare 42 and -100
  Swap 42 and -100
  List after swap: [39, -100, 42, 3, -83, -67, 4, 46]
  Compare 42 and 3
  Swap 42 and 3
  List after swap: [39, -100, 3, 42, -83, -67, 4, 46]
  Compare 42 and -83
  Swap 42 and -83
  List after swap: [39, -100, 3, -83, 42, -67, 4, 46]
  Compare 42 and -67
  Swap 42 and -67
  List after swap: [39, -100, 3, -83, -67, 42, 4, 46]
  Compare 42 and 4
  Swap 42 and 4
  List after swap: [39, -100, 3, -83, -67, 4, 42, 46]

Pass 3:
  Compare 39 and -100
  Swap 39 and -100
  List after swap: [-100, 39, 3, -83, -67, 4, 42, 46]
  Compare 39 and 3
  Swap 39 and 3
  List after swap: [-100, 3, 39, -83, -67, 4, 42, 46]
  Compare 39 and -83
  Swap 39 and -83
  List after swap: [-100, 3, -83, 39, -67, 4, 42, 46]
  Compare 39 and -67
  Swap 39 and -67
  List after swap: [-100, 3, -83, -67, 39, 4, 42, 46]
  Compare 39 and 4
  Swap 39 and 4
  List after swap: [-100, 3, -83, -67, 4, 39, 42, 46]

Pass 4:
  Compare -100 and 3
  No swap needed
  Compare 3 and -83
  Swap 3 and -83
  List after swap: [-100, -83, 3, -67, 4, 39, 42, 46]
  Compare 3 and -67
  Swap 3 and -67
  List after swap: [-100, -83, -67, 3, 4, 39, 42, 46]
  Compare 3 and 4
  No swap needed

Pass 5:
  Compare -100 and -83
  No swap needed
  Compare -83 and -67
  No swap needed
  Compare -67 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -83, -67, 3, 4, 39, 42, 46]
</think>

<response>-100, -83, -67, 3, 4, 39, 42, 46</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -69, -7, 26, -89, -52, -73, -87.

output:
<think>
Initial list: [-69, -7, 26, -89, -52, -73, -87]

Pass 1:
  Compare -69 and -7
  No swap needed
  Compare -7 and 26
  No swap needed
  Compare 26 and -89
  Swap 26 and -89
  List after swap: [-69, -7, -89, 26, -52, -73, -87]
  Compare 26 and -52
  Swap 26 and -52
  List after swap: [-69, -7, -89, -52, 26, -73, -87]
  Compare 26 and -73
  Swap 26 and -73
  List after swap: [-69, -7, -89, -52, -73, 26, -87]
  Compare 26 and -87
  Swap 26 and -87
  List after swap: [-69, -7, -89, -52, -73, -87, 26]

Pass 2:
  Compare -69 and -7
  No swap needed
  Compare -7 and -89
  Swap -7 and -89
  List after swap: [-69, -89, -7, -52, -73, -87, 26]
  Compare -7 and -52
  Swap -7 and -52
  List after swap: [-69, -89, -52, -7, -73, -87, 26]
  Compare -7 and -73
  Swap -7 and -73
  List after swap: [-69, -89, -52, -73, -7, -87, 26]
  Compare -7 and -87
  Swap -7 and -87
  List after swap: [-69, -89, -52, -73, -87, -7, 26]

Pass 3:
  Compare -69 and -89
  Swap -69 and -89
  List after swap: [-89, -69, -52, -73, -87, -7, 26]
  Compare -69 and -52
  No swap needed
  Compare -52 and -73
  Swap -52 and -73
  List after swap: [-89, -69, -73, -52, -87, -7, 26]
  Compare -52 and -87
  Swap -52 and -87
  List after swap: [-89, -69, -73, -87, -52, -7, 26]

Pass 4:
  Compare -89 and -69
  No swap needed
  Compare -69 and -73
  Swap -69 and -73
  List after swap: [-89, -73, -69, -87, -52, -7, 26]
  Compare -69 and -87
  Swap -69 and -87
  List after swap: [-89, -73, -87, -69, -52, -7, 26]

Pass 5:
  Compare -89 and -73
  No swap needed
  Compare -73 and -87
  Swap -73 and -87
  List after swap: [-89, -87, -73, -69, -52, -7, 26]

Pass 6:
  Compare -89 and -87
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -87, -73, -69, -52, -7, 26]
</think>

<response>-89, -87, -73, -69, -52, -7, 26</response>


input: Implement bubble sort on -15, -60 to achieve ascending order, writing out each step in detail.

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

Pass 1:
  Compare -15 and -60
  Swap -15 and -60
  List after swap: [-60, -15]

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

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

<response>-60, -15</response>


input: Sort the list -9, -95, -66 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-9, -95, -66]

Pass 1:
  Compare -9 and -95
  Swap -9 and -95
  List after swap: [-95, -9, -66]
  Compare -9 and -66
  Swap -9 and -66
  List after swap: [-95, -66, -9]

Pass 2:
  Compare -95 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -66, -9]
</think>

<response>-95, -66, -9</response>


input: Implement bubble sort on 48, 3, -10 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [48, 3, -10]

Pass 1:
  Compare 48 and 3
  Swap 48 and 3
  List after swap: [3, 48, -10]
  Compare 48 and -10
  Swap 48 and -10
  List after swap: [3, -10, 48]

Pass 2:
  Compare 3 and -10
  Swap 3 and -10
  List after swap: [-10, 3, 48]

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

Final sorted list: [-10, 3, 48]
</think>

<response>-10, 3, 48</response>


input: Execute bubble sort to sort 66, 17, 59, 75, 98, -85, -94, 53, 62, -28 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [66, 17, 59, 75, 98, -85, -94, 53, 62, -28]

Pass 1:
  Compare 66 and 17
  Swap 66 and 17
  List after swap: [17, 66, 59, 75, 98, -85, -94, 53, 62, -28]
  Compare 66 and 59
  Swap 66 and 59
  List after swap: [17, 59, 66, 75, 98, -85, -94, 53, 62, -28]
  Compare 66 and 75
  No swap needed
  Compare 75 and 98
  No swap needed
  Compare 98 and -85
  Swap 98 and -85
  List after swap: [17, 59, 66, 75, -85, 98, -94, 53, 62, -28]
  Compare 98 and -94
  Swap 98 and -94
  List after swap: [17, 59, 66, 75, -85, -94, 98, 53, 62, -28]
  Compare 98 and 53
  Swap 98 and 53
  List after swap: [17, 59, 66, 75, -85, -94, 53, 98, 62, -28]
  Compare 98 and 62
  Swap 98 and 62
  List after swap: [17, 59, 66, 75, -85, -94, 53, 62, 98, -28]
  Compare 98 and -28
  Swap 98 and -28
  List after swap: [17, 59, 66, 75, -85, -94, 53, 62, -28, 98]

Pass 2:
  Compare 17 and 59
  No swap needed
  Compare 59 and 66
  No swap needed
  Compare 66 and 75
  No swap needed
  Compare 75 and -85
  Swap 75 and -85
  List after swap: [17, 59, 66, -85, 75, -94, 53, 62, -28, 98]
  Compare 75 and -94
  Swap 75 and -94
  List after swap: [17, 59, 66, -85, -94, 75, 53, 62, -28, 98]
  Compare 75 and 53
  Swap 75 and 53
  List after swap: [17, 59, 66, -85, -94, 53, 75, 62, -28, 98]
  Compare 75 and 62
  Swap 75 and 62
  List after swap: [17, 59, 66, -85, -94, 53, 62, 75, -28, 98]
  Compare 75 and -28
  Swap 75 and -28
  List after swap: [17, 59, 66, -85, -94, 53, 62, -28, 75, 98]

Pass 3:
  Compare 17 and 59
  No swap needed
  Compare 59 and 66
  No swap needed
  Compare 66 and -85
  Swap 66 and -85
  List after swap: [17, 59, -85, 66, -94, 53, 62, -28, 75, 98]
  Compare 66 and -94
  Swap 66 and -94
  List after swap: [17, 59, -85, -94, 66, 53, 62, -28, 75, 98]
  Compare 66 and 53
  Swap 66 and 53
  List after swap: [17, 59, -85, -94, 53, 66, 62, -28, 75, 98]
  Compare 66 and 62
  Swap 66 and 62
  List after swap: [17, 59, -85, -94, 53, 62, 66, -28, 75, 98]
  Compare 66 and -28
  Swap 66 and -28
  List after swap: [17, 59, -85, -94, 53, 62, -28, 66, 75, 98]

Pass 4:
  Compare 17 and 59
  No swap needed
  Compare 59 and -85
  Swap 59 and -85
  List after swap: [17, -85, 59, -94, 53, 62, -28, 66, 75, 98]
  Compare 59 and -94
  Swap 59 and -94
  List after swap: [17, -85, -94, 59, 53, 62, -28, 66, 75, 98]
  Compare 59 and 53
  Swap 59 and 53
  List after swap: [17, -85, -94, 53, 59, 62, -28, 66, 75, 98]
  Compare 59 and 62
  No swap needed
  Compare 62 and -28
  Swap 62 and -28
  List after swap: [17, -85, -94, 53, 59, -28, 62, 66, 75, 98]

Pass 5:
  Compare 17 and -85
  Swap 17 and -85
  List after swap: [-85, 17, -94, 53, 59, -28, 62, 66, 75, 98]
  Compare 17 and -94
  Swap 17 and -94
  List after swap: [-85, -94, 17, 53, 59, -28, 62, 66, 75, 98]
  Compare 17 and 53
  No swap needed
  Compare 53 and 59
  No swap needed
  Compare 59 and -28
  Swap 59 and -28
  List after swap: [-85, -94, 17, 53, -28, 59, 62, 66, 75, 98]

Pass 6:
  Compare -85 and -94
  Swap -85 and -94
  List after swap: [-94, -85, 17, 53, -28, 59, 62, 66, 75, 98]
  Compare -85 and 17
  No swap needed
  Compare 17 and 53
  No swap needed
  Compare 53 and -28
  Swap 53 and -28
  List after swap: [-94, -85, 17, -28, 53, 59, 62, 66, 75, 98]

Pass 7:
  Compare -94 and -85
  No swap needed
  Compare -85 and 17
  No swap needed
  Compare 17 and -28
  Swap 17 and -28
  List after swap: [-94, -85, -28, 17, 53, 59, 62, 66, 75, 98]

Pass 8:
  Compare -94 and -85
  No swap needed
  Compare -85 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -85, -28, 17, 53, 59, 62, 66, 75, 98]
</think>

<response>-94, -85, -28, 17, 53, 59, 62, 66, 75, 98</response>


input: Execute bubble sort to sort -46, -57, -53, -51, 1, -79, -69, 37, 47, -37 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-46, -57, -53, -51, 1, -79, -69, 37, 47, -37]

Pass 1:
  Compare -46 and -57
  Swap -46 and -57
  List after swap: [-57, -46, -53, -51, 1, -79, -69, 37, 47, -37]
  Compare -46 and -53
  Swap -46 and -53
  List after swap: [-57, -53, -46, -51, 1, -79, -69, 37, 47, -37]
  Compare -46 and -51
  Swap -46 and -51
  List after swap: [-57, -53, -51, -46, 1, -79, -69, 37, 47, -37]
  Compare -46 and 1
  No swap needed
  Compare 1 and -79
  Swap 1 and -79
  List after swap: [-57, -53, -51, -46, -79, 1, -69, 37, 47, -37]
  Compare 1 and -69
  Swap 1 and -69
  List after swap: [-57, -53, -51, -46, -79, -69, 1, 37, 47, -37]
  Compare 1 and 37
  No swap needed
  Compare 37 and 47
  No swap needed
  Compare 47 and -37
  Swap 47 and -37
  List after swap: [-57, -53, -51, -46, -79, -69, 1, 37, -37, 47]

Pass 2:
  Compare -57 and -53
  No swap needed
  Compare -53 and -51
  No swap needed
  Compare -51 and -46
  No swap needed
  Compare -46 and -79
  Swap -46 and -79
  List after swap: [-57, -53, -51, -79, -46, -69, 1, 37, -37, 47]
  Compare -46 and -69
  Swap -46 and -69
  List after swap: [-57, -53, -51, -79, -69, -46, 1, 37, -37, 47]
  Compare -46 and 1
  No swap needed
  Compare 1 and 37
  No swap needed
  Compare 37 and -37
  Swap 37 and -37
  List after swap: [-57, -53, -51, -79, -69, -46, 1, -37, 37, 47]

Pass 3:
  Compare -57 and -53
  No swap needed
  Compare -53 and -51
  No swap needed
  Compare -51 and -79
  Swap -51 and -79
  List after swap: [-57, -53, -79, -51, -69, -46, 1, -37, 37, 47]
  Compare -51 and -69
  Swap -51 and -69
  List after swap: [-57, -53, -79, -69, -51, -46, 1, -37, 37, 47]
  Compare -51 and -46
  No swap needed
  Compare -46 and 1
  No swap needed
  Compare 1 and -37
  Swap 1 and -37
  List after swap: [-57, -53, -79, -69, -51, -46, -37, 1, 37, 47]

Pass 4:
  Compare -57 and -53
  No swap needed
  Compare -53 and -79
  Swap -53 and -79
  List after swap: [-57, -79, -53, -69, -51, -46, -37, 1, 37, 47]
  Compare -53 and -69
  Swap -53 and -69
  List after swap: [-57, -79, -69, -53, -51, -46, -37, 1, 37, 47]
  Compare -53 and -51
  No swap needed
  Compare -51 and -46
  No swap needed
  Compare -46 and -37
  No swap needed

Pass 5:
  Compare -57 and -79
  Swap -57 and -79
  List after swap: [-79, -57, -69, -53, -51, -46, -37, 1, 37, 47]
  Compare -57 and -69
  Swap -57 and -69
  List after swap: [-79, -69, -57, -53, -51, -46, -37, 1, 37, 47]
  Compare -57 and -53
  No swap needed
  Compare -53 and -51
  No swap needed
  Compare -51 and -46
  No swap needed

Pass 6:
  Compare -79 and -69
  No swap needed
  Compare -69 and -57
  No swap needed
  Compare -57 and -53
  No swap needed
  Compare -53 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -69, -57, -53, -51, -46, -37, 1, 37, 47]
</think>

<response>-79, -69, -57, -53, -51, -46, -37, 1, 37, 47</response>


input: Sort these integers 56, 12, 49, 60 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [56, 12, 49, 60]

Pass 1:
  Compare 56 and 12
  Swap 56 and 12
  List after swap: [12, 56, 49, 60]
  Compare 56 and 49
  Swap 56 and 49
  List after swap: [12, 49, 56, 60]
  Compare 56 and 60
  No swap needed

Pass 2:
  Compare 12 and 49
  No swap needed
  Compare 49 and 56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [12, 49, 56, 60]
</think>

<response>12, 49, 56, 60</response>


input: Using the bubble sort method, sort -47, -3, -78, 15 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-47, -3, -78, 15]

Pass 1:
  Compare -47 and -3
  No swap needed
  Compare -3 and -78
  Swap -3 and -78
  List after swap: [-47, -78, -3, 15]
  Compare -3 and 15
  No swap needed

Pass 2:
  Compare -47 and -78
  Swap -47 and -78
  List after swap: [-78, -47, -3, 15]
  Compare -47 and -3
  No swap needed

Pass 3:
  Compare -78 and -47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -47, -3, 15]
</think>

<response>-78, -47, -3, 15</response>


input: Perform a bubble sort on the integers -100, 68, 67, -67, 9, -15, 92, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-100, 68, 67, -67, 9, -15, 92]

Pass 1:
  Compare -100 and 68
  No swap needed
  Compare 68 and 67
  Swap 68 and 67
  List after swap: [-100, 67, 68, -67, 9, -15, 92]
  Compare 68 and -67
  Swap 68 and -67
  List after swap: [-100, 67, -67, 68, 9, -15, 92]
  Compare 68 and 9
  Swap 68 and 9
  List after swap: [-100, 67, -67, 9, 68, -15, 92]
  Compare 68 and -15
  Swap 68 and -15
  List after swap: [-100, 67, -67, 9, -15, 68, 92]
  Compare 68 and 92
  No swap needed

Pass 2:
  Compare -100 and 67
  No swap needed
  Compare 67 and -67
  Swap 67 and -67
  List after swap: [-100, -67, 67, 9, -15, 68, 92]
  Compare 67 and 9
  Swap 67 and 9
  List after swap: [-100, -67, 9, 67, -15, 68, 92]
  Compare 67 and -15
  Swap 67 and -15
  List after swap: [-100, -67, 9, -15, 67, 68, 92]
  Compare 67 and 68
  No swap needed

Pass 3:
  Compare -100 and -67
  No swap needed
  Compare -67 and 9
  No swap needed
  Compare 9 and -15
  Swap 9 and -15
  List after swap: [-100, -67, -15, 9, 67, 68, 92]
  Compare 9 and 67
  No swap needed

Pass 4:
  Compare -100 and -67
  No swap needed
  Compare -67 and -15
  No swap needed
  Compare -15 and 9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -67, -15, 9, 67, 68, 92]
</think>

<response>-100, -67, -15, 9, 67, 68, 92</response>


input: Sort the list -68, -27, 3, -16, 30 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-68, -27, 3, -16, 30]

Pass 1:
  Compare -68 and -27
  No swap needed
  Compare -27 and 3
  No swap needed
  Compare 3 and -16
  Swap 3 and -16
  List after swap: [-68, -27, -16, 3, 30]
  Compare 3 and 30
  No swap needed

Pass 2:
  Compare -68 and -27
  No swap needed
  Compare -27 and -16
  No swap needed
  Compare -16 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -27, -16, 3, 30]
</think>

<response>-68, -27, -16, 3, 30</response>


input: Sort these integers -48, -35, -26, -87, 98, -7 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-48, -35, -26, -87, 98, -7]

Pass 1:
  Compare -48 and -35
  No swap needed
  Compare -35 and -26
  No swap needed
  Compare -26 and -87
  Swap -26 and -87
  List after swap: [-48, -35, -87, -26, 98, -7]
  Compare -26 and 98
  No swap needed
  Compare 98 and -7
  Swap 98 and -7
  List after swap: [-48, -35, -87, -26, -7, 98]

Pass 2:
  Compare -48 and -35
  No swap needed
  Compare -35 and -87
  Swap -35 and -87
  List after swap: [-48, -87, -35, -26, -7, 98]
  Compare -35 and -26
  No swap needed
  Compare -26 and -7
  No swap needed

Pass 3:
  Compare -48 and -87
  Swap -48 and -87
  List after swap: [-87, -48, -35, -26, -7, 98]
  Compare -48 and -35
  No swap needed
  Compare -35 and -26
  No swap needed

Pass 4:
  Compare -87 and -48
  No swap needed
  Compare -48 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -48, -35, -26, -7, 98]
</think>

<response>-87, -48, -35, -26, -7, 98</response>


input: Perform a bubble sort on the integers 79, -22, -89, -98, 53, -50, -96, -99, -31, -27, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [79, -22, -89, -98, 53, -50, -96, -99, -31, -27]

Pass 1:
  Compare 79 and -22
  Swap 79 and -22
  List after swap: [-22, 79, -89, -98, 53, -50, -96, -99, -31, -27]
  Compare 79 and -89
  Swap 79 and -89
  List after swap: [-22, -89, 79, -98, 53, -50, -96, -99, -31, -27]
  Compare 79 and -98
  Swap 79 and -98
  List after swap: [-22, -89, -98, 79, 53, -50, -96, -99, -31, -27]
  Compare 79 and 53
  Swap 79 and 53
  List after swap: [-22, -89, -98, 53, 79, -50, -96, -99, -31, -27]
  Compare 79 and -50
  Swap 79 and -50
  List after swap: [-22, -89, -98, 53, -50, 79, -96, -99, -31, -27]
  Compare 79 and -96
  Swap 79 and -96
  List after swap: [-22, -89, -98, 53, -50, -96, 79, -99, -31, -27]
  Compare 79 and -99
  Swap 79 and -99
  List after swap: [-22, -89, -98, 53, -50, -96, -99, 79, -31, -27]
  Compare 79 and -31
  Swap 79 and -31
  List after swap: [-22, -89, -98, 53, -50, -96, -99, -31, 79, -27]
  Compare 79 and -27
  Swap 79 and -27
  List after swap: [-22, -89, -98, 53, -50, -96, -99, -31, -27, 79]

Pass 2:
  Compare -22 and -89
  Swap -22 and -89
  List after swap: [-89, -22, -98, 53, -50, -96, -99, -31, -27, 79]
  Compare -22 and -98
  Swap -22 and -98
  List after swap: [-89, -98, -22, 53, -50, -96, -99, -31, -27, 79]
  Compare -22 and 53
  No swap needed
  Compare 53 and -50
  Swap 53 and -50
  List after swap: [-89, -98, -22, -50, 53, -96, -99, -31, -27, 79]
  Compare 53 and -96
  Swap 53 and -96
  List after swap: [-89, -98, -22, -50, -96, 53, -99, -31, -27, 79]
  Compare 53 and -99
  Swap 53 and -99
  List after swap: [-89, -98, -22, -50, -96, -99, 53, -31, -27, 79]
  Compare 53 and -31
  Swap 53 and -31
  List after swap: [-89, -98, -22, -50, -96, -99, -31, 53, -27, 79]
  Compare 53 and -27
  Swap 53 and -27
  List after swap: [-89, -98, -22, -50, -96, -99, -31, -27, 53, 79]

Pass 3:
  Compare -89 and -98
  Swap -89 and -98
  List after swap: [-98, -89, -22, -50, -96, -99, -31, -27, 53, 79]
  Compare -89 and -22
  No swap needed
  Compare -22 and -50
  Swap -22 and -50
  List after swap: [-98, -89, -50, -22, -96, -99, -31, -27, 53, 79]
  Compare -22 and -96
  Swap -22 and -96
  List after swap: [-98, -89, -50, -96, -22, -99, -31, -27, 53, 79]
  Compare -22 and -99
  Swap -22 and -99
  List after swap: [-98, -89, -50, -96, -99, -22, -31, -27, 53, 79]
  Compare -22 and -31
  Swap -22 and -31
  List after swap: [-98, -89, -50, -96, -99, -31, -22, -27, 53, 79]
  Compare -22 and -27
  Swap -22 and -27
  List after swap: [-98, -89, -50, -96, -99, -31, -27, -22, 53, 79]

Pass 4:
  Compare -98 and -89
  No swap needed
  Compare -89 and -50
  No swap needed
  Compare -50 and -96
  Swap -50 and -96
  List after swap: [-98, -89, -96, -50, -99, -31, -27, -22, 53, 79]
  Compare -50 and -99
  Swap -50 and -99
  List after swap: [-98, -89, -96, -99, -50, -31, -27, -22, 53, 79]
  Compare -50 and -31
  No swap needed
  Compare -31 and -27
  No swap needed

Pass 5:
  Compare -98 and -89
  No swap needed
  Compare -89 and -96
  Swap -89 and -96
  List after swap: [-98, -96, -89, -99, -50, -31, -27, -22, 53, 79]
  Compare -89 and -99
  Swap -89 and -99
  List after swap: [-98, -96, -99, -89, -50, -31, -27, -22, 53, 79]
  Compare -89 and -50
  No swap needed
  Compare -50 and -31
  No swap needed

Pass 6:
  Compare -98 and -96
  No swap needed
  Compare -96 and -99
  Swap -96 and -99
  List after swap: [-98, -99, -96, -89, -50, -31, -27, -22, 53, 79]
  Compare -96 and -89
  No swap needed
  Compare -89 and -50
  No swap needed

Pass 7:
  Compare -98 and -99
  Swap -98 and -99
  List after swap: [-99, -98, -96, -89, -50, -31, -27, -22, 53, 79]
  Compare -98 and -96
  No swap needed
  Compare -96 and -89
  No swap needed

Pass 8:
  Compare -99 and -98
  No swap needed
  Compare -98 and -96
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -98, -96, -89, -50, -31, -27, -22, 53, 79]
</think>

<response>-99, -98, -96, -89, -50, -31, -27, -22, 53, 79</response>


input: Implement bubble sort on 72, -90, 68, -29, -46, -86, -23, -75, 55 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [72, -90, 68, -29, -46, -86, -23, -75, 55]

Pass 1:
  Compare 72 and -90
  Swap 72 and -90
  List after swap: [-90, 72, 68, -29, -46, -86, -23, -75, 55]
  Compare 72 and 68
  Swap 72 and 68
  List after swap: [-90, 68, 72, -29, -46, -86, -23, -75, 55]
  Compare 72 and -29
  Swap 72 and -29
  List after swap: [-90, 68, -29, 72, -46, -86, -23, -75, 55]
  Compare 72 and -46
  Swap 72 and -46
  List after swap: [-90, 68, -29, -46, 72, -86, -23, -75, 55]
  Compare 72 and -86
  Swap 72 and -86
  List after swap: [-90, 68, -29, -46, -86, 72, -23, -75, 55]
  Compare 72 and -23
  Swap 72 and -23
  List after swap: [-90, 68, -29, -46, -86, -23, 72, -75, 55]
  Compare 72 and -75
  Swap 72 and -75
  List after swap: [-90, 68, -29, -46, -86, -23, -75, 72, 55]
  Compare 72 and 55
  Swap 72 and 55
  List after swap: [-90, 68, -29, -46, -86, -23, -75, 55, 72]

Pass 2:
  Compare -90 and 68
  No swap needed
  Compare 68 and -29
  Swap 68 and -29
  List after swap: [-90, -29, 68, -46, -86, -23, -75, 55, 72]
  Compare 68 and -46
  Swap 68 and -46
  List after swap: [-90, -29, -46, 68, -86, -23, -75, 55, 72]
  Compare 68 and -86
  Swap 68 and -86
  List after swap: [-90, -29, -46, -86, 68, -23, -75, 55, 72]
  Compare 68 and -23
  Swap 68 and -23
  List after swap: [-90, -29, -46, -86, -23, 68, -75, 55, 72]
  Compare 68 and -75
  Swap 68 and -75
  List after swap: [-90, -29, -46, -86, -23, -75, 68, 55, 72]
  Compare 68 and 55
  Swap 68 and 55
  List after swap: [-90, -29, -46, -86, -23, -75, 55, 68, 72]

Pass 3:
  Compare -90 and -29
  No swap needed
  Compare -29 and -46
  Swap -29 and -46
  List after swap: [-90, -46, -29, -86, -23, -75, 55, 68, 72]
  Compare -29 and -86
  Swap -29 and -86
  List after swap: [-90, -46, -86, -29, -23, -75, 55, 68, 72]
  Compare -29 and -23
  No swap needed
  Compare -23 and -75
  Swap -23 and -75
  List after swap: [-90, -46, -86, -29, -75, -23, 55, 68, 72]
  Compare -23 and 55
  No swap needed

Pass 4:
  Compare -90 and -46
  No swap needed
  Compare -46 and -86
  Swap -46 and -86
  List after swap: [-90, -86, -46, -29, -75, -23, 55, 68, 72]
  Compare -46 and -29
  No swap needed
  Compare -29 and -75
  Swap -29 and -75
  List after swap: [-90, -86, -46, -75, -29, -23, 55, 68, 72]
  Compare -29 and -23
  No swap needed

Pass 5:
  Compare -90 and -86
  No swap needed
  Compare -86 and -46
  No swap needed
  Compare -46 and -75
  Swap -46 and -75
  List after swap: [-90, -86, -75, -46, -29, -23, 55, 68, 72]
  Compare -46 and -29
  No swap needed

Pass 6:
  Compare -90 and -86
  No swap needed
  Compare -86 and -75
  No swap needed
  Compare -75 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -86, -75, -46, -29, -23, 55, 68, 72]
</think>

<response>-90, -86, -75, -46, -29, -23, 55, 68, 72</response>


input: Use the bubble sort technique to reorder 63, 66, 13, 45, 59, -94, 48, 74, 51 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [63, 66, 13, 45, 59, -94, 48, 74, 51]

Pass 1:
  Compare 63 and 66
  No swap needed
  Compare 66 and 13
  Swap 66 and 13
  List after swap: [63, 13, 66, 45, 59, -94, 48, 74, 51]
  Compare 66 and 45
  Swap 66 and 45
  List after swap: [63, 13, 45, 66, 59, -94, 48, 74, 51]
  Compare 66 and 59
  Swap 66 and 59
  List after swap: [63, 13, 45, 59, 66, -94, 48, 74, 51]
  Compare 66 and -94
  Swap 66 and -94
  List after swap: [63, 13, 45, 59, -94, 66, 48, 74, 51]
  Compare 66 and 48
  Swap 66 and 48
  List after swap: [63, 13, 45, 59, -94, 48, 66, 74, 51]
  Compare 66 and 74
  No swap needed
  Compare 74 and 51
  Swap 74 and 51
  List after swap: [63, 13, 45, 59, -94, 48, 66, 51, 74]

Pass 2:
  Compare 63 and 13
  Swap 63 and 13
  List after swap: [13, 63, 45, 59, -94, 48, 66, 51, 74]
  Compare 63 and 45
  Swap 63 and 45
  List after swap: [13, 45, 63, 59, -94, 48, 66, 51, 74]
  Compare 63 and 59
  Swap 63 and 59
  List after swap: [13, 45, 59, 63, -94, 48, 66, 51, 74]
  Compare 63 and -94
  Swap 63 and -94
  List after swap: [13, 45, 59, -94, 63, 48, 66, 51, 74]
  Compare 63 and 48
  Swap 63 and 48
  List after swap: [13, 45, 59, -94, 48, 63, 66, 51, 74]
  Compare 63 and 66
  No swap needed
  Compare 66 and 51
  Swap 66 and 51
  List after swap: [13, 45, 59, -94, 48, 63, 51, 66, 74]

Pass 3:
  Compare 13 and 45
  No swap needed
  Compare 45 and 59
  No swap needed
  Compare 59 and -94
  Swap 59 and -94
  List after swap: [13, 45, -94, 59, 48, 63, 51, 66, 74]
  Compare 59 and 48
  Swap 59 and 48
  List after swap: [13, 45, -94, 48, 59, 63, 51, 66, 74]
  Compare 59 and 63
  No swap needed
  Compare 63 and 51
  Swap 63 and 51
  List after swap: [13, 45, -94, 48, 59, 51, 63, 66, 74]

Pass 4:
  Compare 13 and 45
  No swap needed
  Compare 45 and -94
  Swap 45 and -94
  List after swap: [13, -94, 45, 48, 59, 51, 63, 66, 74]
  Compare 45 and 48
  No swap needed
  Compare 48 and 59
  No swap needed
  Compare 59 and 51
  Swap 59 and 51
  List after swap: [13, -94, 45, 48, 51, 59, 63, 66, 74]

Pass 5:
  Compare 13 and -94
  Swap 13 and -94
  List after swap: [-94, 13, 45, 48, 51, 59, 63, 66, 74]
  Compare 13 and 45
  No swap needed
  Compare 45 and 48
  No swap needed
  Compare 48 and 51
  No swap needed

Pass 6:
  Compare -94 and 13
  No swap needed
  Compare 13 and 45
  No swap needed
  Compare 45 and 48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, 13, 45, 48, 51, 59, 63, 66, 74]
</think>

<response>-94, 13, 45, 48, 51, 59, 63, 66, 74</response>


input: Sort these integers -100, -3, 2, -50, -64 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-100, -3, 2, -50, -64]

Pass 1:
  Compare -100 and -3
  No swap needed
  Compare -3 and 2
  No swap needed
  Compare 2 and -50
  Swap 2 and -50
  List after swap: [-100, -3, -50, 2, -64]
  Compare 2 and -64
  Swap 2 and -64
  List after swap: [-100, -3, -50, -64, 2]

Pass 2:
  Compare -100 and -3
  No swap needed
  Compare -3 and -50
  Swap -3 and -50
  List after swap: [-100, -50, -3, -64, 2]
  Compare -3 and -64
  Swap -3 and -64
  List after swap: [-100, -50, -64, -3, 2]

Pass 3:
  Compare -100 and -50
  No swap needed
  Compare -50 and -64
  Swap -50 and -64
  List after swap: [-100, -64, -50, -3, 2]

Pass 4:
  Compare -100 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -64, -50, -3, 2]
</think>

<response>-100, -64, -50, -3, 2</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 4, 32, 67, 92, -63, 42.

output:
<think>
Initial list: [4, 32, 67, 92, -63, 42]

Pass 1:
  Compare 4 and 32
  No swap needed
  Compare 32 and 67
  No swap needed
  Compare 67 and 92
  No swap needed
  Compare 92 and -63
  Swap 92 and -63
  List after swap: [4, 32, 67, -63, 92, 42]
  Compare 92 and 42
  Swap 92 and 42
  List after swap: [4, 32, 67, -63, 42, 92]

Pass 2:
  Compare 4 and 32
  No swap needed
  Compare 32 and 67
  No swap needed
  Compare 67 and -63
  Swap 67 and -63
  List after swap: [4, 32, -63, 67, 42, 92]
  Compare 67 and 42
  Swap 67 and 42
  List after swap: [4, 32, -63, 42, 67, 92]

Pass 3:
  Compare 4 and 32
  No swap needed
  Compare 32 and -63
  Swap 32 and -63
  List after swap: [4, -63, 32, 42, 67, 92]
  Compare 32 and 42
  No swap needed

Pass 4:
  Compare 4 and -63
  Swap 4 and -63
  List after swap: [-63, 4, 32, 42, 67, 92]
  Compare 4 and 32
  No swap needed

Pass 5:
  Compare -63 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, 4, 32, 42, 67, 92]
</think>

<response>-63, 4, 32, 42, 67, 92</response>


input: Sort the list 65, 50, 31 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [65, 50, 31]

Pass 1:
  Compare 65 and 50
  Swap 65 and 50
  List after swap: [50, 65, 31]
  Compare 65 and 31
  Swap 65 and 31
  List after swap: [50, 31, 65]

Pass 2:
  Compare 50 and 31
  Swap 50 and 31
  List after swap: [31, 50, 65]

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

Final sorted list: [31, 50, 65]
</think>

<response>31, 50, 65</response>


input: Demonstrate how bubble sort orders the integers 34, -16, 33, 12, 51, -6, 21, 47, -51, 42 in ascending sequence, showing all steps.

output:
<think>
Initial list: [34, -16, 33, 12, 51, -6, 21, 47, -51, 42]

Pass 1:
  Compare 34 and -16
  Swap 34 and -16
  List after swap: [-16, 34, 33, 12, 51, -6, 21, 47, -51, 42]
  Compare 34 and 33
  Swap 34 and 33
  List after swap: [-16, 33, 34, 12, 51, -6, 21, 47, -51, 42]
  Compare 34 and 12
  Swap 34 and 12
  List after swap: [-16, 33, 12, 34, 51, -6, 21, 47, -51, 42]
  Compare 34 and 51
  No swap needed
  Compare 51 and -6
  Swap 51 and -6
  List after swap: [-16, 33, 12, 34, -6, 51, 21, 47, -51, 42]
  Compare 51 and 21
  Swap 51 and 21
  List after swap: [-16, 33, 12, 34, -6, 21, 51, 47, -51, 42]
  Compare 51 and 47
  Swap 51 and 47
  List after swap: [-16, 33, 12, 34, -6, 21, 47, 51, -51, 42]
  Compare 51 and -51
  Swap 51 and -51
  List after swap: [-16, 33, 12, 34, -6, 21, 47, -51, 51, 42]
  Compare 51 and 42
  Swap 51 and 42
  List after swap: [-16, 33, 12, 34, -6, 21, 47, -51, 42, 51]

Pass 2:
  Compare -16 and 33
  No swap needed
  Compare 33 and 12
  Swap 33 and 12
  List after swap: [-16, 12, 33, 34, -6, 21, 47, -51, 42, 51]
  Compare 33 and 34
  No swap needed
  Compare 34 and -6
  Swap 34 and -6
  List after swap: [-16, 12, 33, -6, 34, 21, 47, -51, 42, 51]
  Compare 34 and 21
  Swap 34 and 21
  List after swap: [-16, 12, 33, -6, 21, 34, 47, -51, 42, 51]
  Compare 34 and 47
  No swap needed
  Compare 47 and -51
  Swap 47 and -51
  List after swap: [-16, 12, 33, -6, 21, 34, -51, 47, 42, 51]
  Compare 47 and 42
  Swap 47 and 42
  List after swap: [-16, 12, 33, -6, 21, 34, -51, 42, 47, 51]

Pass 3:
  Compare -16 and 12
  No swap needed
  Compare 12 and 33
  No swap needed
  Compare 33 and -6
  Swap 33 and -6
  List after swap: [-16, 12, -6, 33, 21, 34, -51, 42, 47, 51]
  Compare 33 and 21
  Swap 33 and 21
  List after swap: [-16, 12, -6, 21, 33, 34, -51, 42, 47, 51]
  Compare 33 and 34
  No swap needed
  Compare 34 and -51
  Swap 34 and -51
  List after swap: [-16, 12, -6, 21, 33, -51, 34, 42, 47, 51]
  Compare 34 and 42
  No swap needed

Pass 4:
  Compare -16 and 12
  No swap needed
  Compare 12 and -6
  Swap 12 and -6
  List after swap: [-16, -6, 12, 21, 33, -51, 34, 42, 47, 51]
  Compare 12 and 21
  No swap needed
  Compare 21 and 33
  No swap needed
  Compare 33 and -51
  Swap 33 and -51
  List after swap: [-16, -6, 12, 21, -51, 33, 34, 42, 47, 51]
  Compare 33 and 34
  No swap needed

Pass 5:
  Compare -16 and -6
  No swap needed
  Compare -6 and 12
  No swap needed
  Compare 12 and 21
  No swap needed
  Compare 21 and -51
  Swap 21 and -51
  List after swap: [-16, -6, 12, -51, 21, 33, 34, 42, 47, 51]
  Compare 21 and 33
  No swap needed

Pass 6:
  Compare -16 and -6
  No swap needed
  Compare -6 and 12
  No swap needed
  Compare 12 and -51
  Swap 12 and -51
  List after swap: [-16, -6, -51, 12, 21, 33, 34, 42, 47, 51]
  Compare 12 and 21
  No swap needed

Pass 7:
  Compare -16 and -6
  No swap needed
  Compare -6 and -51
  Swap -6 and -51
  List after swap: [-16, -51, -6, 12, 21, 33, 34, 42, 47, 51]
  Compare -6 and 12
  No swap needed

Pass 8:
  Compare -16 and -51
  Swap -16 and -51
  List after swap: [-51, -16, -6, 12, 21, 33, 34, 42, 47, 51]
  Compare -16 and -6
  No swap needed

Pass 9:
  Compare -51 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-51, -16, -6, 12, 21, 33, 34, 42, 47, 51]
</think>

<response>-51, -16, -6, 12, 21, 33, 34, 42, 47, 51</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -94, -56, -49.

output:
<think>
Initial list: [-94, -56, -49]

Pass 1:
  Compare -94 and -56
  No swap needed
  Compare -56 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -56, -49]
</think>

<response>-94, -56, -49</response>


input: Carry out the bubble sort algorithm on -25, -76 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-25, -76]

Pass 1:
  Compare -25 and -76
  Swap -25 and -76
  List after swap: [-76, -25]

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

Final sorted list: [-76, -25]
</think>

<response>-76, -25</response>


input: Implement bubble sort on 3, -15, -27 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [3, -15, -27]

Pass 1:
  Compare 3 and -15
  Swap 3 and -15
  List after swap: [-15, 3, -27]
  Compare 3 and -27
  Swap 3 and -27
  List after swap: [-15, -27, 3]

Pass 2:
  Compare -15 and -27
  Swap -15 and -27
  List after swap: [-27, -15, 3]

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

Final sorted list: [-27, -15, 3]
</think>

<response>-27, -15, 3</response>


input: Sort these integers 8, -98, 14, 55, -56, -31, -16, -87, 43 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [8, -98, 14, 55, -56, -31, -16, -87, 43]

Pass 1:
  Compare 8 and -98
  Swap 8 and -98
  List after swap: [-98, 8, 14, 55, -56, -31, -16, -87, 43]
  Compare 8 and 14
  No swap needed
  Compare 14 and 55
  No swap needed
  Compare 55 and -56
  Swap 55 and -56
  List after swap: [-98, 8, 14, -56, 55, -31, -16, -87, 43]
  Compare 55 and -31
  Swap 55 and -31
  List after swap: [-98, 8, 14, -56, -31, 55, -16, -87, 43]
  Compare 55 and -16
  Swap 55 and -16
  List after swap: [-98, 8, 14, -56, -31, -16, 55, -87, 43]
  Compare 55 and -87
  Swap 55 and -87
  List after swap: [-98, 8, 14, -56, -31, -16, -87, 55, 43]
  Compare 55 and 43
  Swap 55 and 43
  List after swap: [-98, 8, 14, -56, -31, -16, -87, 43, 55]

Pass 2:
  Compare -98 and 8
  No swap needed
  Compare 8 and 14
  No swap needed
  Compare 14 and -56
  Swap 14 and -56
  List after swap: [-98, 8, -56, 14, -31, -16, -87, 43, 55]
  Compare 14 and -31
  Swap 14 and -31
  List after swap: [-98, 8, -56, -31, 14, -16, -87, 43, 55]
  Compare 14 and -16
  Swap 14 and -16
  List after swap: [-98, 8, -56, -31, -16, 14, -87, 43, 55]
  Compare 14 and -87
  Swap 14 and -87
  List after swap: [-98, 8, -56, -31, -16, -87, 14, 43, 55]
  Compare 14 and 43
  No swap needed

Pass 3:
  Compare -98 and 8
  No swap needed
  Compare 8 and -56
  Swap 8 and -56
  List after swap: [-98, -56, 8, -31, -16, -87, 14, 43, 55]
  Compare 8 and -31
  Swap 8 and -31
  List after swap: [-98, -56, -31, 8, -16, -87, 14, 43, 55]
  Compare 8 and -16
  Swap 8 and -16
  List after swap: [-98, -56, -31, -16, 8, -87, 14, 43, 55]
  Compare 8 and -87
  Swap 8 and -87
  List after swap: [-98, -56, -31, -16, -87, 8, 14, 43, 55]
  Compare 8 and 14
  No swap needed

Pass 4:
  Compare -98 and -56
  No swap needed
  Compare -56 and -31
  No swap needed
  Compare -31 and -16
  No swap needed
  Compare -16 and -87
  Swap -16 and -87
  List after swap: [-98, -56, -31, -87, -16, 8, 14, 43, 55]
  Compare -16 and 8
  No swap needed

Pass 5:
  Compare -98 and -56
  No swap needed
  Compare -56 and -31
  No swap needed
  Compare -31 and -87
  Swap -31 and -87
  List after swap: [-98, -56, -87, -31, -16, 8, 14, 43, 55]
  Compare -31 and -16
  No swap needed

Pass 6:
  Compare -98 and -56
  No swap needed
  Compare -56 and -87
  Swap -56 and -87
  List after swap: [-98, -87, -56, -31, -16, 8, 14, 43, 55]
  Compare -56 and -31
  No swap needed

Pass 7:
  Compare -98 and -87
  No swap needed
  Compare -87 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -87, -56, -31, -16, 8, 14, 43, 55]
</think>

<response>-98, -87, -56, -31, -16, 8, 14, 43, 55</response>


input: Demonstrate how bubble sort orders the integers 57, 79, 34, -13, 1, -85, -91, -60, 90, 71 in ascending sequence, showing all steps.

output:
<think>
Initial list: [57, 79, 34, -13, 1, -85, -91, -60, 90, 71]

Pass 1:
  Compare 57 and 79
  No swap needed
  Compare 79 and 34
  Swap 79 and 34
  List after swap: [57, 34, 79, -13, 1, -85, -91, -60, 90, 71]
  Compare 79 and -13
  Swap 79 and -13
  List after swap: [57, 34, -13, 79, 1, -85, -91, -60, 90, 71]
  Compare 79 and 1
  Swap 79 and 1
  List after swap: [57, 34, -13, 1, 79, -85, -91, -60, 90, 71]
  Compare 79 and -85
  Swap 79 and -85
  List after swap: [57, 34, -13, 1, -85, 79, -91, -60, 90, 71]
  Compare 79 and -91
  Swap 79 and -91
  List after swap: [57, 34, -13, 1, -85, -91, 79, -60, 90, 71]
  Compare 79 and -60
  Swap 79 and -60
  List after swap: [57, 34, -13, 1, -85, -91, -60, 79, 90, 71]
  Compare 79 and 90
  No swap needed
  Compare 90 and 71
  Swap 90 and 71
  List after swap: [57, 34, -13, 1, -85, -91, -60, 79, 71, 90]

Pass 2:
  Compare 57 and 34
  Swap 57 and 34
  List after swap: [34, 57, -13, 1, -85, -91, -60, 79, 71, 90]
  Compare 57 and -13
  Swap 57 and -13
  List after swap: [34, -13, 57, 1, -85, -91, -60, 79, 71, 90]
  Compare 57 and 1
  Swap 57 and 1
  List after swap: [34, -13, 1, 57, -85, -91, -60, 79, 71, 90]
  Compare 57 and -85
  Swap 57 and -85
  List after swap: [34, -13, 1, -85, 57, -91, -60, 79, 71, 90]
  Compare 57 and -91
  Swap 57 and -91
  List after swap: [34, -13, 1, -85, -91, 57, -60, 79, 71, 90]
  Compare 57 and -60
  Swap 57 and -60
  List after swap: [34, -13, 1, -85, -91, -60, 57, 79, 71, 90]
  Compare 57 and 79
  No swap needed
  Compare 79 and 71
  Swap 79 and 71
  List after swap: [34, -13, 1, -85, -91, -60, 57, 71, 79, 90]

Pass 3:
  Compare 34 and -13
  Swap 34 and -13
  List after swap: [-13, 34, 1, -85, -91, -60, 57, 71, 79, 90]
  Compare 34 and 1
  Swap 34 and 1
  List after swap: [-13, 1, 34, -85, -91, -60, 57, 71, 79, 90]
  Compare 34 and -85
  Swap 34 and -85
  List after swap: [-13, 1, -85, 34, -91, -60, 57, 71, 79, 90]
  Compare 34 and -91
  Swap 34 and -91
  List after swap: [-13, 1, -85, -91, 34, -60, 57, 71, 79, 90]
  Compare 34 and -60
  Swap 34 and -60
  List after swap: [-13, 1, -85, -91, -60, 34, 57, 71, 79, 90]
  Compare 34 and 57
  No swap needed
  Compare 57 and 71
  No swap needed

Pass 4:
  Compare -13 and 1
  No swap needed
  Compare 1 and -85
  Swap 1 and -85
  List after swap: [-13, -85, 1, -91, -60, 34, 57, 71, 79, 90]
  Compare 1 and -91
  Swap 1 and -91
  List after swap: [-13, -85, -91, 1, -60, 34, 57, 71, 79, 90]
  Compare 1 and -60
  Swap 1 and -60
  List after swap: [-13, -85, -91, -60, 1, 34, 57, 71, 79, 90]
  Compare 1 and 34
  No swap needed
  Compare 34 and 57
  No swap needed

Pass 5:
  Compare -13 and -85
  Swap -13 and -85
  List after swap: [-85, -13, -91, -60, 1, 34, 57, 71, 79, 90]
  Compare -13 and -91
  Swap -13 and -91
  List after swap: [-85, -91, -13, -60, 1, 34, 57, 71, 79, 90]
  Compare -13 and -60
  Swap -13 and -60
  List after swap: [-85, -91, -60, -13, 1, 34, 57, 71, 79, 90]
  Compare -13 and 1
  No swap needed
  Compare 1 and 34
  No swap needed

Pass 6:
  Compare -85 and -91
  Swap -85 and -91
  List after swap: [-91, -85, -60, -13, 1, 34, 57, 71, 79, 90]
  Compare -85 and -60
  No swap needed
  Compare -60 and -13
  No swap needed
  Compare -13 and 1
  No swap needed

Pass 7:
  Compare -91 and -85
  No swap needed
  Compare -85 and -60
  No swap needed
  Compare -60 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -85, -60, -13, 1, 34, 57, 71, 79, 90]
</think>

<response>-91, -85, -60, -13, 1, 34, 57, 71, 79, 90</response>


input: Execute bubble sort to sort 61, 84 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [61, 84]

Pass 1:
  Compare 61 and 84
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [61, 84]
</think>

<response>61, 84</response>


input: Sort the list -7, 81, -40, 21, 91, -63, -34, -15, 34 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-7, 81, -40, 21, 91, -63, -34, -15, 34]

Pass 1:
  Compare -7 and 81
  No swap needed
  Compare 81 and -40
  Swap 81 and -40
  List after swap: [-7, -40, 81, 21, 91, -63, -34, -15, 34]
  Compare 81 and 21
  Swap 81 and 21
  List after swap: [-7, -40, 21, 81, 91, -63, -34, -15, 34]
  Compare 81 and 91
  No swap needed
  Compare 91 and -63
  Swap 91 and -63
  List after swap: [-7, -40, 21, 81, -63, 91, -34, -15, 34]
  Compare 91 and -34
  Swap 91 and -34
  List after swap: [-7, -40, 21, 81, -63, -34, 91, -15, 34]
  Compare 91 and -15
  Swap 91 and -15
  List after swap: [-7, -40, 21, 81, -63, -34, -15, 91, 34]
  Compare 91 and 34
  Swap 91 and 34
  List after swap: [-7, -40, 21, 81, -63, -34, -15, 34, 91]

Pass 2:
  Compare -7 and -40
  Swap -7 and -40
  List after swap: [-40, -7, 21, 81, -63, -34, -15, 34, 91]
  Compare -7 and 21
  No swap needed
  Compare 21 and 81
  No swap needed
  Compare 81 and -63
  Swap 81 and -63
  List after swap: [-40, -7, 21, -63, 81, -34, -15, 34, 91]
  Compare 81 and -34
  Swap 81 and -34
  List after swap: [-40, -7, 21, -63, -34, 81, -15, 34, 91]
  Compare 81 and -15
  Swap 81 and -15
  List after swap: [-40, -7, 21, -63, -34, -15, 81, 34, 91]
  Compare 81 and 34
  Swap 81 and 34
  List after swap: [-40, -7, 21, -63, -34, -15, 34, 81, 91]

Pass 3:
  Compare -40 and -7
  No swap needed
  Compare -7 and 21
  No swap needed
  Compare 21 and -63
  Swap 21 and -63
  List after swap: [-40, -7, -63, 21, -34, -15, 34, 81, 91]
  Compare 21 and -34
  Swap 21 and -34
  List after swap: [-40, -7, -63, -34, 21, -15, 34, 81, 91]
  Compare 21 and -15
  Swap 21 and -15
  List after swap: [-40, -7, -63, -34, -15, 21, 34, 81, 91]
  Compare 21 and 34
  No swap needed

Pass 4:
  Compare -40 and -7
  No swap needed
  Compare -7 and -63
  Swap -7 and -63
  List after swap: [-40, -63, -7, -34, -15, 21, 34, 81, 91]
  Compare -7 and -34
  Swap -7 and -34
  List after swap: [-40, -63, -34, -7, -15, 21, 34, 81, 91]
  Compare -7 and -15
  Swap -7 and -15
  List after swap: [-40, -63, -34, -15, -7, 21, 34, 81, 91]
  Compare -7 and 21
  No swap needed

Pass 5:
  Compare -40 and -63
  Swap -40 and -63
  List after swap: [-63, -40, -34, -15, -7, 21, 34, 81, 91]
  Compare -40 and -34
  No swap needed
  Compare -34 and -15
  No swap needed
  Compare -15 and -7
  No swap needed

Pass 6:
  Compare -63 and -40
  No swap needed
  Compare -40 and -34
  No swap needed
  Compare -34 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -40, -34, -15, -7, 21, 34, 81, 91]
</think>

<response>-63, -40, -34, -15, -7, 21, 34, 81, 91</response>


input: Implement bubble sort on -77, -49, -68, 7, -75, -13, 97, -62 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-77, -49, -68, 7, -75, -13, 97, -62]

Pass 1:
  Compare -77 and -49
  No swap needed
  Compare -49 and -68
  Swap -49 and -68
  List after swap: [-77, -68, -49, 7, -75, -13, 97, -62]
  Compare -49 and 7
  No swap needed
  Compare 7 and -75
  Swap 7 and -75
  List after swap: [-77, -68, -49, -75, 7, -13, 97, -62]
  Compare 7 and -13
  Swap 7 and -13
  List after swap: [-77, -68, -49, -75, -13, 7, 97, -62]
  Compare 7 and 97
  No swap needed
  Compare 97 and -62
  Swap 97 and -62
  List after swap: [-77, -68, -49, -75, -13, 7, -62, 97]

Pass 2:
  Compare -77 and -68
  No swap needed
  Compare -68 and -49
  No swap needed
  Compare -49 and -75
  Swap -49 and -75
  List after swap: [-77, -68, -75, -49, -13, 7, -62, 97]
  Compare -49 and -13
  No swap needed
  Compare -13 and 7
  No swap needed
  Compare 7 and -62
  Swap 7 and -62
  List after swap: [-77, -68, -75, -49, -13, -62, 7, 97]

Pass 3:
  Compare -77 and -68
  No swap needed
  Compare -68 and -75
  Swap -68 and -75
  List after swap: [-77, -75, -68, -49, -13, -62, 7, 97]
  Compare -68 and -49
  No swap needed
  Compare -49 and -13
  No swap needed
  Compare -13 and -62
  Swap -13 and -62
  List after swap: [-77, -75, -68, -49, -62, -13, 7, 97]

Pass 4:
  Compare -77 and -75
  No swap needed
  Compare -75 and -68
  No swap needed
  Compare -68 and -49
  No swap needed
  Compare -49 and -62
  Swap -49 and -62
  List after swap: [-77, -75, -68, -62, -49, -13, 7, 97]

Pass 5:
  Compare -77 and -75
  No swap needed
  Compare -75 and -68
  No swap needed
  Compare -68 and -62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -75, -68, -62, -49, -13, 7, 97]
</think>

<response>-77, -75, -68, -62, -49, -13, 7, 97</response>


input: Implement bubble sort on 20, -98, 56, -75, -66 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [20, -98, 56, -75, -66]

Pass 1:
  Compare 20 and -98
  Swap 20 and -98
  List after swap: [-98, 20, 56, -75, -66]
  Compare 20 and 56
  No swap needed
  Compare 56 and -75
  Swap 56 and -75
  List after swap: [-98, 20, -75, 56, -66]
  Compare 56 and -66
  Swap 56 and -66
  List after swap: [-98, 20, -75, -66, 56]

Pass 2:
  Compare -98 and 20
  No swap needed
  Compare 20 and -75
  Swap 20 and -75
  List after swap: [-98, -75, 20, -66, 56]
  Compare 20 and -66
  Swap 20 and -66
  List after swap: [-98, -75, -66, 20, 56]

Pass 3:
  Compare -98 and -75
  No swap needed
  Compare -75 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -75, -66, 20, 56]
</think>

<response>-98, -75, -66, 20, 56</response>


input: Using the bubble sort method, sort -47, -76, 87, 66, 24, -8 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-47, -76, 87, 66, 24, -8]

Pass 1:
  Compare -47 and -76
  Swap -47 and -76
  List after swap: [-76, -47, 87, 66, 24, -8]
  Compare -47 and 87
  No swap needed
  Compare 87 and 66
  Swap 87 and 66
  List after swap: [-76, -47, 66, 87, 24, -8]
  Compare 87 and 24
  Swap 87 and 24
  List after swap: [-76, -47, 66, 24, 87, -8]
  Compare 87 and -8
  Swap 87 and -8
  List after swap: [-76, -47, 66, 24, -8, 87]

Pass 2:
  Compare -76 and -47
  No swap needed
  Compare -47 and 66
  No swap needed
  Compare 66 and 24
  Swap 66 and 24
  List after swap: [-76, -47, 24, 66, -8, 87]
  Compare 66 and -8
  Swap 66 and -8
  List after swap: [-76, -47, 24, -8, 66, 87]

Pass 3:
  Compare -76 and -47
  No swap needed
  Compare -47 and 24
  No swap needed
  Compare 24 and -8
  Swap 24 and -8
  List after swap: [-76, -47, -8, 24, 66, 87]

Pass 4:
  Compare -76 and -47
  No swap needed
  Compare -47 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -47, -8, 24, 66, 87]
</think>

<response>-76, -47, -8, 24, 66, 87</response>


input: Carry out the bubble sort algorithm on -1, -21, -34, 30, 58, -72, 62, -69, 46 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-1, -21, -34, 30, 58, -72, 62, -69, 46]

Pass 1:
  Compare -1 and -21
  Swap -1 and -21
  List after swap: [-21, -1, -34, 30, 58, -72, 62, -69, 46]
  Compare -1 and -34
  Swap -1 and -34
  List after swap: [-21, -34, -1, 30, 58, -72, 62, -69, 46]
  Compare -1 and 30
  No swap needed
  Compare 30 and 58
  No swap needed
  Compare 58 and -72
  Swap 58 and -72
  List after swap: [-21, -34, -1, 30, -72, 58, 62, -69, 46]
  Compare 58 and 62
  No swap needed
  Compare 62 and -69
  Swap 62 and -69
  List after swap: [-21, -34, -1, 30, -72, 58, -69, 62, 46]
  Compare 62 and 46
  Swap 62 and 46
  List after swap: [-21, -34, -1, 30, -72, 58, -69, 46, 62]

Pass 2:
  Compare -21 and -34
  Swap -21 and -34
  List after swap: [-34, -21, -1, 30, -72, 58, -69, 46, 62]
  Compare -21 and -1
  No swap needed
  Compare -1 and 30
  No swap needed
  Compare 30 and -72
  Swap 30 and -72
  List after swap: [-34, -21, -1, -72, 30, 58, -69, 46, 62]
  Compare 30 and 58
  No swap needed
  Compare 58 and -69
  Swap 58 and -69
  List after swap: [-34, -21, -1, -72, 30, -69, 58, 46, 62]
  Compare 58 and 46
  Swap 58 and 46
  List after swap: [-34, -21, -1, -72, 30, -69, 46, 58, 62]

Pass 3:
  Compare -34 and -21
  No swap needed
  Compare -21 and -1
  No swap needed
  Compare -1 and -72
  Swap -1 and -72
  List after swap: [-34, -21, -72, -1, 30, -69, 46, 58, 62]
  Compare -1 and 30
  No swap needed
  Compare 30 and -69
  Swap 30 and -69
  List after swap: [-34, -21, -72, -1, -69, 30, 46, 58, 62]
  Compare 30 and 46
  No swap needed

Pass 4:
  Compare -34 and -21
  No swap needed
  Compare -21 and -72
  Swap -21 and -72
  List after swap: [-34, -72, -21, -1, -69, 30, 46, 58, 62]
  Compare -21 and -1
  No swap needed
  Compare -1 and -69
  Swap -1 and -69
  List after swap: [-34, -72, -21, -69, -1, 30, 46, 58, 62]
  Compare -1 and 30
  No swap needed

Pass 5:
  Compare -34 and -72
  Swap -34 and -72
  List after swap: [-72, -34, -21, -69, -1, 30, 46, 58, 62]
  Compare -34 and -21
  No swap needed
  Compare -21 and -69
  Swap -21 and -69
  List after swap: [-72, -34, -69, -21, -1, 30, 46, 58, 62]
  Compare -21 and -1
  No swap needed

Pass 6:
  Compare -72 and -34
  No swap needed
  Compare -34 and -69
  Swap -34 and -69
  List after swap: [-72, -69, -34, -21, -1, 30, 46, 58, 62]
  Compare -34 and -21
  No swap needed

Pass 7:
  Compare -72 and -69
  No swap needed
  Compare -69 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -69, -34, -21, -1, 30, 46, 58, 62]
</think>

<response>-72, -69, -34, -21, -1, 30, 46, 58, 62</response>


input: Using the bubble sort method, sort 56, 22 from lowest to highest and provide a step-by-step breakdown.

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

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

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

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

<response>22, 56</response>


input: Use the bubble sort technique to reorder 22, 6, 14, -7 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [22, 6, 14, -7]

Pass 1:
  Compare 22 and 6
  Swap 22 and 6
  List after swap: [6, 22, 14, -7]
  Compare 22 and 14
  Swap 22 and 14
  List after swap: [6, 14, 22, -7]
  Compare 22 and -7
  Swap 22 and -7
  List after swap: [6, 14, -7, 22]

Pass 2:
  Compare 6 and 14
  No swap needed
  Compare 14 and -7
  Swap 14 and -7
  List after swap: [6, -7, 14, 22]

Pass 3:
  Compare 6 and -7
  Swap 6 and -7
  List after swap: [-7, 6, 14, 22]

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

Final sorted list: [-7, 6, 14, 22]
</think>

<response>-7, 6, 14, 22</response>