input: Implement bubble sort on -43, 82, 56 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-43, 82, 56]

Pass 1:
  Compare -43 and 82
  No swap needed
  Compare 82 and 56
  Swap 82 and 56
  List after swap: [-43, 56, 82]

Pass 2:
  Compare -43 and 56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-43, 56, 82]
</think>

<response>-43, 56, 82</response>


input: Execute bubble sort to sort 65, 18, -34, 63, 28, -36, -14, -10, -90, -8 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [65, 18, -34, 63, 28, -36, -14, -10, -90, -8]

Pass 1:
  Compare 65 and 18
  Swap 65 and 18
  List after swap: [18, 65, -34, 63, 28, -36, -14, -10, -90, -8]
  Compare 65 and -34
  Swap 65 and -34
  List after swap: [18, -34, 65, 63, 28, -36, -14, -10, -90, -8]
  Compare 65 and 63
  Swap 65 and 63
  List after swap: [18, -34, 63, 65, 28, -36, -14, -10, -90, -8]
  Compare 65 and 28
  Swap 65 and 28
  List after swap: [18, -34, 63, 28, 65, -36, -14, -10, -90, -8]
  Compare 65 and -36
  Swap 65 and -36
  List after swap: [18, -34, 63, 28, -36, 65, -14, -10, -90, -8]
  Compare 65 and -14
  Swap 65 and -14
  List after swap: [18, -34, 63, 28, -36, -14, 65, -10, -90, -8]
  Compare 65 and -10
  Swap 65 and -10
  List after swap: [18, -34, 63, 28, -36, -14, -10, 65, -90, -8]
  Compare 65 and -90
  Swap 65 and -90
  List after swap: [18, -34, 63, 28, -36, -14, -10, -90, 65, -8]
  Compare 65 and -8
  Swap 65 and -8
  List after swap: [18, -34, 63, 28, -36, -14, -10, -90, -8, 65]

Pass 2:
  Compare 18 and -34
  Swap 18 and -34
  List after swap: [-34, 18, 63, 28, -36, -14, -10, -90, -8, 65]
  Compare 18 and 63
  No swap needed
  Compare 63 and 28
  Swap 63 and 28
  List after swap: [-34, 18, 28, 63, -36, -14, -10, -90, -8, 65]
  Compare 63 and -36
  Swap 63 and -36
  List after swap: [-34, 18, 28, -36, 63, -14, -10, -90, -8, 65]
  Compare 63 and -14
  Swap 63 and -14
  List after swap: [-34, 18, 28, -36, -14, 63, -10, -90, -8, 65]
  Compare 63 and -10
  Swap 63 and -10
  List after swap: [-34, 18, 28, -36, -14, -10, 63, -90, -8, 65]
  Compare 63 and -90
  Swap 63 and -90
  List after swap: [-34, 18, 28, -36, -14, -10, -90, 63, -8, 65]
  Compare 63 and -8
  Swap 63 and -8
  List after swap: [-34, 18, 28, -36, -14, -10, -90, -8, 63, 65]

Pass 3:
  Compare -34 and 18
  No swap needed
  Compare 18 and 28
  No swap needed
  Compare 28 and -36
  Swap 28 and -36
  List after swap: [-34, 18, -36, 28, -14, -10, -90, -8, 63, 65]
  Compare 28 and -14
  Swap 28 and -14
  List after swap: [-34, 18, -36, -14, 28, -10, -90, -8, 63, 65]
  Compare 28 and -10
  Swap 28 and -10
  List after swap: [-34, 18, -36, -14, -10, 28, -90, -8, 63, 65]
  Compare 28 and -90
  Swap 28 and -90
  List after swap: [-34, 18, -36, -14, -10, -90, 28, -8, 63, 65]
  Compare 28 and -8
  Swap 28 and -8
  List after swap: [-34, 18, -36, -14, -10, -90, -8, 28, 63, 65]

Pass 4:
  Compare -34 and 18
  No swap needed
  Compare 18 and -36
  Swap 18 and -36
  List after swap: [-34, -36, 18, -14, -10, -90, -8, 28, 63, 65]
  Compare 18 and -14
  Swap 18 and -14
  List after swap: [-34, -36, -14, 18, -10, -90, -8, 28, 63, 65]
  Compare 18 and -10
  Swap 18 and -10
  List after swap: [-34, -36, -14, -10, 18, -90, -8, 28, 63, 65]
  Compare 18 and -90
  Swap 18 and -90
  List after swap: [-34, -36, -14, -10, -90, 18, -8, 28, 63, 65]
  Compare 18 and -8
  Swap 18 and -8
  List after swap: [-34, -36, -14, -10, -90, -8, 18, 28, 63, 65]

Pass 5:
  Compare -34 and -36
  Swap -34 and -36
  List after swap: [-36, -34, -14, -10, -90, -8, 18, 28, 63, 65]
  Compare -34 and -14
  No swap needed
  Compare -14 and -10
  No swap needed
  Compare -10 and -90
  Swap -10 and -90
  List after swap: [-36, -34, -14, -90, -10, -8, 18, 28, 63, 65]
  Compare -10 and -8
  No swap needed

Pass 6:
  Compare -36 and -34
  No swap needed
  Compare -34 and -14
  No swap needed
  Compare -14 and -90
  Swap -14 and -90
  List after swap: [-36, -34, -90, -14, -10, -8, 18, 28, 63, 65]
  Compare -14 and -10
  No swap needed

Pass 7:
  Compare -36 and -34
  No swap needed
  Compare -34 and -90
  Swap -34 and -90
  List after swap: [-36, -90, -34, -14, -10, -8, 18, 28, 63, 65]
  Compare -34 and -14
  No swap needed

Pass 8:
  Compare -36 and -90
  Swap -36 and -90
  List after swap: [-90, -36, -34, -14, -10, -8, 18, 28, 63, 65]
  Compare -36 and -34
  No swap needed

Pass 9:
  Compare -90 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -36, -34, -14, -10, -8, 18, 28, 63, 65]
</think>

<response>-90, -36, -34, -14, -10, -8, 18, 28, 63, 65</response>


input: Perform a bubble sort on the integers -42, 91, -61, -30, -53, -43, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-42, 91, -61, -30, -53, -43]

Pass 1:
  Compare -42 and 91
  No swap needed
  Compare 91 and -61
  Swap 91 and -61
  List after swap: [-42, -61, 91, -30, -53, -43]
  Compare 91 and -30
  Swap 91 and -30
  List after swap: [-42, -61, -30, 91, -53, -43]
  Compare 91 and -53
  Swap 91 and -53
  List after swap: [-42, -61, -30, -53, 91, -43]
  Compare 91 and -43
  Swap 91 and -43
  List after swap: [-42, -61, -30, -53, -43, 91]

Pass 2:
  Compare -42 and -61
  Swap -42 and -61
  List after swap: [-61, -42, -30, -53, -43, 91]
  Compare -42 and -30
  No swap needed
  Compare -30 and -53
  Swap -30 and -53
  List after swap: [-61, -42, -53, -30, -43, 91]
  Compare -30 and -43
  Swap -30 and -43
  List after swap: [-61, -42, -53, -43, -30, 91]

Pass 3:
  Compare -61 and -42
  No swap needed
  Compare -42 and -53
  Swap -42 and -53
  List after swap: [-61, -53, -42, -43, -30, 91]
  Compare -42 and -43
  Swap -42 and -43
  List after swap: [-61, -53, -43, -42, -30, 91]

Pass 4:
  Compare -61 and -53
  No swap needed
  Compare -53 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -53, -43, -42, -30, 91]
</think>

<response>-61, -53, -43, -42, -30, 91</response>


input: Sort the list -64, -43, 66, -20, 76, 28, -7, -16, 75, 72 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-64, -43, 66, -20, 76, 28, -7, -16, 75, 72]

Pass 1:
  Compare -64 and -43
  No swap needed
  Compare -43 and 66
  No swap needed
  Compare 66 and -20
  Swap 66 and -20
  List after swap: [-64, -43, -20, 66, 76, 28, -7, -16, 75, 72]
  Compare 66 and 76
  No swap needed
  Compare 76 and 28
  Swap 76 and 28
  List after swap: [-64, -43, -20, 66, 28, 76, -7, -16, 75, 72]
  Compare 76 and -7
  Swap 76 and -7
  List after swap: [-64, -43, -20, 66, 28, -7, 76, -16, 75, 72]
  Compare 76 and -16
  Swap 76 and -16
  List after swap: [-64, -43, -20, 66, 28, -7, -16, 76, 75, 72]
  Compare 76 and 75
  Swap 76 and 75
  List after swap: [-64, -43, -20, 66, 28, -7, -16, 75, 76, 72]
  Compare 76 and 72
  Swap 76 and 72
  List after swap: [-64, -43, -20, 66, 28, -7, -16, 75, 72, 76]

Pass 2:
  Compare -64 and -43
  No swap needed
  Compare -43 and -20
  No swap needed
  Compare -20 and 66
  No swap needed
  Compare 66 and 28
  Swap 66 and 28
  List after swap: [-64, -43, -20, 28, 66, -7, -16, 75, 72, 76]
  Compare 66 and -7
  Swap 66 and -7
  List after swap: [-64, -43, -20, 28, -7, 66, -16, 75, 72, 76]
  Compare 66 and -16
  Swap 66 and -16
  List after swap: [-64, -43, -20, 28, -7, -16, 66, 75, 72, 76]
  Compare 66 and 75
  No swap needed
  Compare 75 and 72
  Swap 75 and 72
  List after swap: [-64, -43, -20, 28, -7, -16, 66, 72, 75, 76]

Pass 3:
  Compare -64 and -43
  No swap needed
  Compare -43 and -20
  No swap needed
  Compare -20 and 28
  No swap needed
  Compare 28 and -7
  Swap 28 and -7
  List after swap: [-64, -43, -20, -7, 28, -16, 66, 72, 75, 76]
  Compare 28 and -16
  Swap 28 and -16
  List after swap: [-64, -43, -20, -7, -16, 28, 66, 72, 75, 76]
  Compare 28 and 66
  No swap needed
  Compare 66 and 72
  No swap needed

Pass 4:
  Compare -64 and -43
  No swap needed
  Compare -43 and -20
  No swap needed
  Compare -20 and -7
  No swap needed
  Compare -7 and -16
  Swap -7 and -16
  List after swap: [-64, -43, -20, -16, -7, 28, 66, 72, 75, 76]
  Compare -7 and 28
  No swap needed
  Compare 28 and 66
  No swap needed

Pass 5:
  Compare -64 and -43
  No swap needed
  Compare -43 and -20
  No swap needed
  Compare -20 and -16
  No swap needed
  Compare -16 and -7
  No swap needed
  Compare -7 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -43, -20, -16, -7, 28, 66, 72, 75, 76]
</think>

<response>-64, -43, -20, -16, -7, 28, 66, 72, 75, 76</response>


input: Use the bubble sort technique to reorder -25, 53, 94, 46 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-25, 53, 94, 46]

Pass 1:
  Compare -25 and 53
  No swap needed
  Compare 53 and 94
  No swap needed
  Compare 94 and 46
  Swap 94 and 46
  List after swap: [-25, 53, 46, 94]

Pass 2:
  Compare -25 and 53
  No swap needed
  Compare 53 and 46
  Swap 53 and 46
  List after swap: [-25, 46, 53, 94]

Pass 3:
  Compare -25 and 46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-25, 46, 53, 94]
</think>

<response>-25, 46, 53, 94</response>


input: Execute bubble sort to sort -97, 32, 31 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-97, 32, 31]

Pass 1:
  Compare -97 and 32
  No swap needed
  Compare 32 and 31
  Swap 32 and 31
  List after swap: [-97, 31, 32]

Pass 2:
  Compare -97 and 31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, 31, 32]
</think>

<response>-97, 31, 32</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -83, 25, 42, 57, 98, -59, 68, -68, 62.

output:
<think>
Initial list: [-83, 25, 42, 57, 98, -59, 68, -68, 62]

Pass 1:
  Compare -83 and 25
  No swap needed
  Compare 25 and 42
  No swap needed
  Compare 42 and 57
  No swap needed
  Compare 57 and 98
  No swap needed
  Compare 98 and -59
  Swap 98 and -59
  List after swap: [-83, 25, 42, 57, -59, 98, 68, -68, 62]
  Compare 98 and 68
  Swap 98 and 68
  List after swap: [-83, 25, 42, 57, -59, 68, 98, -68, 62]
  Compare 98 and -68
  Swap 98 and -68
  List after swap: [-83, 25, 42, 57, -59, 68, -68, 98, 62]
  Compare 98 and 62
  Swap 98 and 62
  List after swap: [-83, 25, 42, 57, -59, 68, -68, 62, 98]

Pass 2:
  Compare -83 and 25
  No swap needed
  Compare 25 and 42
  No swap needed
  Compare 42 and 57
  No swap needed
  Compare 57 and -59
  Swap 57 and -59
  List after swap: [-83, 25, 42, -59, 57, 68, -68, 62, 98]
  Compare 57 and 68
  No swap needed
  Compare 68 and -68
  Swap 68 and -68
  List after swap: [-83, 25, 42, -59, 57, -68, 68, 62, 98]
  Compare 68 and 62
  Swap 68 and 62
  List after swap: [-83, 25, 42, -59, 57, -68, 62, 68, 98]

Pass 3:
  Compare -83 and 25
  No swap needed
  Compare 25 and 42
  No swap needed
  Compare 42 and -59
  Swap 42 and -59
  List after swap: [-83, 25, -59, 42, 57, -68, 62, 68, 98]
  Compare 42 and 57
  No swap needed
  Compare 57 and -68
  Swap 57 and -68
  List after swap: [-83, 25, -59, 42, -68, 57, 62, 68, 98]
  Compare 57 and 62
  No swap needed

Pass 4:
  Compare -83 and 25
  No swap needed
  Compare 25 and -59
  Swap 25 and -59
  List after swap: [-83, -59, 25, 42, -68, 57, 62, 68, 98]
  Compare 25 and 42
  No swap needed
  Compare 42 and -68
  Swap 42 and -68
  List after swap: [-83, -59, 25, -68, 42, 57, 62, 68, 98]
  Compare 42 and 57
  No swap needed

Pass 5:
  Compare -83 and -59
  No swap needed
  Compare -59 and 25
  No swap needed
  Compare 25 and -68
  Swap 25 and -68
  List after swap: [-83, -59, -68, 25, 42, 57, 62, 68, 98]
  Compare 25 and 42
  No swap needed

Pass 6:
  Compare -83 and -59
  No swap needed
  Compare -59 and -68
  Swap -59 and -68
  List after swap: [-83, -68, -59, 25, 42, 57, 62, 68, 98]
  Compare -59 and 25
  No swap needed

Pass 7:
  Compare -83 and -68
  No swap needed
  Compare -68 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -68, -59, 25, 42, 57, 62, 68, 98]
</think>

<response>-83, -68, -59, 25, 42, 57, 62, 68, 98</response>


input: Perform a bubble sort on the integers -86, 21, -17, 73, 76, -71, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-86, 21, -17, 73, 76, -71]

Pass 1:
  Compare -86 and 21
  No swap needed
  Compare 21 and -17
  Swap 21 and -17
  List after swap: [-86, -17, 21, 73, 76, -71]
  Compare 21 and 73
  No swap needed
  Compare 73 and 76
  No swap needed
  Compare 76 and -71
  Swap 76 and -71
  List after swap: [-86, -17, 21, 73, -71, 76]

Pass 2:
  Compare -86 and -17
  No swap needed
  Compare -17 and 21
  No swap needed
  Compare 21 and 73
  No swap needed
  Compare 73 and -71
  Swap 73 and -71
  List after swap: [-86, -17, 21, -71, 73, 76]

Pass 3:
  Compare -86 and -17
  No swap needed
  Compare -17 and 21
  No swap needed
  Compare 21 and -71
  Swap 21 and -71
  List after swap: [-86, -17, -71, 21, 73, 76]

Pass 4:
  Compare -86 and -17
  No swap needed
  Compare -17 and -71
  Swap -17 and -71
  List after swap: [-86, -71, -17, 21, 73, 76]

Pass 5:
  Compare -86 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -71, -17, 21, 73, 76]
</think>

<response>-86, -71, -17, 21, 73, 76</response>


input: Arrange the numbers 28, -65, 14, -96, 82, 87, 33 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [28, -65, 14, -96, 82, 87, 33]

Pass 1:
  Compare 28 and -65
  Swap 28 and -65
  List after swap: [-65, 28, 14, -96, 82, 87, 33]
  Compare 28 and 14
  Swap 28 and 14
  List after swap: [-65, 14, 28, -96, 82, 87, 33]
  Compare 28 and -96
  Swap 28 and -96
  List after swap: [-65, 14, -96, 28, 82, 87, 33]
  Compare 28 and 82
  No swap needed
  Compare 82 and 87
  No swap needed
  Compare 87 and 33
  Swap 87 and 33
  List after swap: [-65, 14, -96, 28, 82, 33, 87]

Pass 2:
  Compare -65 and 14
  No swap needed
  Compare 14 and -96
  Swap 14 and -96
  List after swap: [-65, -96, 14, 28, 82, 33, 87]
  Compare 14 and 28
  No swap needed
  Compare 28 and 82
  No swap needed
  Compare 82 and 33
  Swap 82 and 33
  List after swap: [-65, -96, 14, 28, 33, 82, 87]

Pass 3:
  Compare -65 and -96
  Swap -65 and -96
  List after swap: [-96, -65, 14, 28, 33, 82, 87]
  Compare -65 and 14
  No swap needed
  Compare 14 and 28
  No swap needed
  Compare 28 and 33
  No swap needed

Pass 4:
  Compare -96 and -65
  No swap needed
  Compare -65 and 14
  No swap needed
  Compare 14 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -65, 14, 28, 33, 82, 87]
</think>

<response>-96, -65, 14, 28, 33, 82, 87</response>


input: Carry out the bubble sort algorithm on 65, 83, -58, 77, 87, -60, 48 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [65, 83, -58, 77, 87, -60, 48]

Pass 1:
  Compare 65 and 83
  No swap needed
  Compare 83 and -58
  Swap 83 and -58
  List after swap: [65, -58, 83, 77, 87, -60, 48]
  Compare 83 and 77
  Swap 83 and 77
  List after swap: [65, -58, 77, 83, 87, -60, 48]
  Compare 83 and 87
  No swap needed
  Compare 87 and -60
  Swap 87 and -60
  List after swap: [65, -58, 77, 83, -60, 87, 48]
  Compare 87 and 48
  Swap 87 and 48
  List after swap: [65, -58, 77, 83, -60, 48, 87]

Pass 2:
  Compare 65 and -58
  Swap 65 and -58
  List after swap: [-58, 65, 77, 83, -60, 48, 87]
  Compare 65 and 77
  No swap needed
  Compare 77 and 83
  No swap needed
  Compare 83 and -60
  Swap 83 and -60
  List after swap: [-58, 65, 77, -60, 83, 48, 87]
  Compare 83 and 48
  Swap 83 and 48
  List after swap: [-58, 65, 77, -60, 48, 83, 87]

Pass 3:
  Compare -58 and 65
  No swap needed
  Compare 65 and 77
  No swap needed
  Compare 77 and -60
  Swap 77 and -60
  List after swap: [-58, 65, -60, 77, 48, 83, 87]
  Compare 77 and 48
  Swap 77 and 48
  List after swap: [-58, 65, -60, 48, 77, 83, 87]

Pass 4:
  Compare -58 and 65
  No swap needed
  Compare 65 and -60
  Swap 65 and -60
  List after swap: [-58, -60, 65, 48, 77, 83, 87]
  Compare 65 and 48
  Swap 65 and 48
  List after swap: [-58, -60, 48, 65, 77, 83, 87]

Pass 5:
  Compare -58 and -60
  Swap -58 and -60
  List after swap: [-60, -58, 48, 65, 77, 83, 87]
  Compare -58 and 48
  No swap needed

Pass 6:
  Compare -60 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -58, 48, 65, 77, 83, 87]
</think>

<response>-60, -58, 48, 65, 77, 83, 87</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 81, 72, -89, 8.

output:
<think>
Initial list: [81, 72, -89, 8]

Pass 1:
  Compare 81 and 72
  Swap 81 and 72
  List after swap: [72, 81, -89, 8]
  Compare 81 and -89
  Swap 81 and -89
  List after swap: [72, -89, 81, 8]
  Compare 81 and 8
  Swap 81 and 8
  List after swap: [72, -89, 8, 81]

Pass 2:
  Compare 72 and -89
  Swap 72 and -89
  List after swap: [-89, 72, 8, 81]
  Compare 72 and 8
  Swap 72 and 8
  List after swap: [-89, 8, 72, 81]

Pass 3:
  Compare -89 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, 8, 72, 81]
</think>

<response>-89, 8, 72, 81</response>


input: Demonstrate how bubble sort orders the integers -20, 19, 77, -52, 13, 53, 88, 15 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-20, 19, 77, -52, 13, 53, 88, 15]

Pass 1:
  Compare -20 and 19
  No swap needed
  Compare 19 and 77
  No swap needed
  Compare 77 and -52
  Swap 77 and -52
  List after swap: [-20, 19, -52, 77, 13, 53, 88, 15]
  Compare 77 and 13
  Swap 77 and 13
  List after swap: [-20, 19, -52, 13, 77, 53, 88, 15]
  Compare 77 and 53
  Swap 77 and 53
  List after swap: [-20, 19, -52, 13, 53, 77, 88, 15]
  Compare 77 and 88
  No swap needed
  Compare 88 and 15
  Swap 88 and 15
  List after swap: [-20, 19, -52, 13, 53, 77, 15, 88]

Pass 2:
  Compare -20 and 19
  No swap needed
  Compare 19 and -52
  Swap 19 and -52
  List after swap: [-20, -52, 19, 13, 53, 77, 15, 88]
  Compare 19 and 13
  Swap 19 and 13
  List after swap: [-20, -52, 13, 19, 53, 77, 15, 88]
  Compare 19 and 53
  No swap needed
  Compare 53 and 77
  No swap needed
  Compare 77 and 15
  Swap 77 and 15
  List after swap: [-20, -52, 13, 19, 53, 15, 77, 88]

Pass 3:
  Compare -20 and -52
  Swap -20 and -52
  List after swap: [-52, -20, 13, 19, 53, 15, 77, 88]
  Compare -20 and 13
  No swap needed
  Compare 13 and 19
  No swap needed
  Compare 19 and 53
  No swap needed
  Compare 53 and 15
  Swap 53 and 15
  List after swap: [-52, -20, 13, 19, 15, 53, 77, 88]

Pass 4:
  Compare -52 and -20
  No swap needed
  Compare -20 and 13
  No swap needed
  Compare 13 and 19
  No swap needed
  Compare 19 and 15
  Swap 19 and 15
  List after swap: [-52, -20, 13, 15, 19, 53, 77, 88]

Pass 5:
  Compare -52 and -20
  No swap needed
  Compare -20 and 13
  No swap needed
  Compare 13 and 15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, -20, 13, 15, 19, 53, 77, 88]
</think>

<response>-52, -20, 13, 15, 19, 53, 77, 88</response>


input: Sort the list 18, 97, 5, -86, -78, -4, 14 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [18, 97, 5, -86, -78, -4, 14]

Pass 1:
  Compare 18 and 97
  No swap needed
  Compare 97 and 5
  Swap 97 and 5
  List after swap: [18, 5, 97, -86, -78, -4, 14]
  Compare 97 and -86
  Swap 97 and -86
  List after swap: [18, 5, -86, 97, -78, -4, 14]
  Compare 97 and -78
  Swap 97 and -78
  List after swap: [18, 5, -86, -78, 97, -4, 14]
  Compare 97 and -4
  Swap 97 and -4
  List after swap: [18, 5, -86, -78, -4, 97, 14]
  Compare 97 and 14
  Swap 97 and 14
  List after swap: [18, 5, -86, -78, -4, 14, 97]

Pass 2:
  Compare 18 and 5
  Swap 18 and 5
  List after swap: [5, 18, -86, -78, -4, 14, 97]
  Compare 18 and -86
  Swap 18 and -86
  List after swap: [5, -86, 18, -78, -4, 14, 97]
  Compare 18 and -78
  Swap 18 and -78
  List after swap: [5, -86, -78, 18, -4, 14, 97]
  Compare 18 and -4
  Swap 18 and -4
  List after swap: [5, -86, -78, -4, 18, 14, 97]
  Compare 18 and 14
  Swap 18 and 14
  List after swap: [5, -86, -78, -4, 14, 18, 97]

Pass 3:
  Compare 5 and -86
  Swap 5 and -86
  List after swap: [-86, 5, -78, -4, 14, 18, 97]
  Compare 5 and -78
  Swap 5 and -78
  List after swap: [-86, -78, 5, -4, 14, 18, 97]
  Compare 5 and -4
  Swap 5 and -4
  List after swap: [-86, -78, -4, 5, 14, 18, 97]
  Compare 5 and 14
  No swap needed

Pass 4:
  Compare -86 and -78
  No swap needed
  Compare -78 and -4
  No swap needed
  Compare -4 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -78, -4, 5, 14, 18, 97]
</think>

<response>-86, -78, -4, 5, 14, 18, 97</response>


input: Execute bubble sort to sort 31, -20, -84, 48 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [31, -20, -84, 48]

Pass 1:
  Compare 31 and -20
  Swap 31 and -20
  List after swap: [-20, 31, -84, 48]
  Compare 31 and -84
  Swap 31 and -84
  List after swap: [-20, -84, 31, 48]
  Compare 31 and 48
  No swap needed

Pass 2:
  Compare -20 and -84
  Swap -20 and -84
  List after swap: [-84, -20, 31, 48]
  Compare -20 and 31
  No swap needed

Pass 3:
  Compare -84 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -20, 31, 48]
</think>

<response>-84, -20, 31, 48</response>


input: Demonstrate how bubble sort orders the integers -78, 86, 16, -69 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-78, 86, 16, -69]

Pass 1:
  Compare -78 and 86
  No swap needed
  Compare 86 and 16
  Swap 86 and 16
  List after swap: [-78, 16, 86, -69]
  Compare 86 and -69
  Swap 86 and -69
  List after swap: [-78, 16, -69, 86]

Pass 2:
  Compare -78 and 16
  No swap needed
  Compare 16 and -69
  Swap 16 and -69
  List after swap: [-78, -69, 16, 86]

Pass 3:
  Compare -78 and -69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -69, 16, 86]
</think>

<response>-78, -69, 16, 86</response>


input: Using the bubble sort method, sort -11, 76, -66, 53, 75, 9, 21, -90, -34, 15 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-11, 76, -66, 53, 75, 9, 21, -90, -34, 15]

Pass 1:
  Compare -11 and 76
  No swap needed
  Compare 76 and -66
  Swap 76 and -66
  List after swap: [-11, -66, 76, 53, 75, 9, 21, -90, -34, 15]
  Compare 76 and 53
  Swap 76 and 53
  List after swap: [-11, -66, 53, 76, 75, 9, 21, -90, -34, 15]
  Compare 76 and 75
  Swap 76 and 75
  List after swap: [-11, -66, 53, 75, 76, 9, 21, -90, -34, 15]
  Compare 76 and 9
  Swap 76 and 9
  List after swap: [-11, -66, 53, 75, 9, 76, 21, -90, -34, 15]
  Compare 76 and 21
  Swap 76 and 21
  List after swap: [-11, -66, 53, 75, 9, 21, 76, -90, -34, 15]
  Compare 76 and -90
  Swap 76 and -90
  List after swap: [-11, -66, 53, 75, 9, 21, -90, 76, -34, 15]
  Compare 76 and -34
  Swap 76 and -34
  List after swap: [-11, -66, 53, 75, 9, 21, -90, -34, 76, 15]
  Compare 76 and 15
  Swap 76 and 15
  List after swap: [-11, -66, 53, 75, 9, 21, -90, -34, 15, 76]

Pass 2:
  Compare -11 and -66
  Swap -11 and -66
  List after swap: [-66, -11, 53, 75, 9, 21, -90, -34, 15, 76]
  Compare -11 and 53
  No swap needed
  Compare 53 and 75
  No swap needed
  Compare 75 and 9
  Swap 75 and 9
  List after swap: [-66, -11, 53, 9, 75, 21, -90, -34, 15, 76]
  Compare 75 and 21
  Swap 75 and 21
  List after swap: [-66, -11, 53, 9, 21, 75, -90, -34, 15, 76]
  Compare 75 and -90
  Swap 75 and -90
  List after swap: [-66, -11, 53, 9, 21, -90, 75, -34, 15, 76]
  Compare 75 and -34
  Swap 75 and -34
  List after swap: [-66, -11, 53, 9, 21, -90, -34, 75, 15, 76]
  Compare 75 and 15
  Swap 75 and 15
  List after swap: [-66, -11, 53, 9, 21, -90, -34, 15, 75, 76]

Pass 3:
  Compare -66 and -11
  No swap needed
  Compare -11 and 53
  No swap needed
  Compare 53 and 9
  Swap 53 and 9
  List after swap: [-66, -11, 9, 53, 21, -90, -34, 15, 75, 76]
  Compare 53 and 21
  Swap 53 and 21
  List after swap: [-66, -11, 9, 21, 53, -90, -34, 15, 75, 76]
  Compare 53 and -90
  Swap 53 and -90
  List after swap: [-66, -11, 9, 21, -90, 53, -34, 15, 75, 76]
  Compare 53 and -34
  Swap 53 and -34
  List after swap: [-66, -11, 9, 21, -90, -34, 53, 15, 75, 76]
  Compare 53 and 15
  Swap 53 and 15
  List after swap: [-66, -11, 9, 21, -90, -34, 15, 53, 75, 76]

Pass 4:
  Compare -66 and -11
  No swap needed
  Compare -11 and 9
  No swap needed
  Compare 9 and 21
  No swap needed
  Compare 21 and -90
  Swap 21 and -90
  List after swap: [-66, -11, 9, -90, 21, -34, 15, 53, 75, 76]
  Compare 21 and -34
  Swap 21 and -34
  List after swap: [-66, -11, 9, -90, -34, 21, 15, 53, 75, 76]
  Compare 21 and 15
  Swap 21 and 15
  List after swap: [-66, -11, 9, -90, -34, 15, 21, 53, 75, 76]

Pass 5:
  Compare -66 and -11
  No swap needed
  Compare -11 and 9
  No swap needed
  Compare 9 and -90
  Swap 9 and -90
  List after swap: [-66, -11, -90, 9, -34, 15, 21, 53, 75, 76]
  Compare 9 and -34
  Swap 9 and -34
  List after swap: [-66, -11, -90, -34, 9, 15, 21, 53, 75, 76]
  Compare 9 and 15
  No swap needed

Pass 6:
  Compare -66 and -11
  No swap needed
  Compare -11 and -90
  Swap -11 and -90
  List after swap: [-66, -90, -11, -34, 9, 15, 21, 53, 75, 76]
  Compare -11 and -34
  Swap -11 and -34
  List after swap: [-66, -90, -34, -11, 9, 15, 21, 53, 75, 76]
  Compare -11 and 9
  No swap needed

Pass 7:
  Compare -66 and -90
  Swap -66 and -90
  List after swap: [-90, -66, -34, -11, 9, 15, 21, 53, 75, 76]
  Compare -66 and -34
  No swap needed
  Compare -34 and -11
  No swap needed

Pass 8:
  Compare -90 and -66
  No swap needed
  Compare -66 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -66, -34, -11, 9, 15, 21, 53, 75, 76]
</think>

<response>-90, -66, -34, -11, 9, 15, 21, 53, 75, 76</response>


input: Carry out the bubble sort algorithm on -67, 24, -40, -22, 2, 29, -7 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-67, 24, -40, -22, 2, 29, -7]

Pass 1:
  Compare -67 and 24
  No swap needed
  Compare 24 and -40
  Swap 24 and -40
  List after swap: [-67, -40, 24, -22, 2, 29, -7]
  Compare 24 and -22
  Swap 24 and -22
  List after swap: [-67, -40, -22, 24, 2, 29, -7]
  Compare 24 and 2
  Swap 24 and 2
  List after swap: [-67, -40, -22, 2, 24, 29, -7]
  Compare 24 and 29
  No swap needed
  Compare 29 and -7
  Swap 29 and -7
  List after swap: [-67, -40, -22, 2, 24, -7, 29]

Pass 2:
  Compare -67 and -40
  No swap needed
  Compare -40 and -22
  No swap needed
  Compare -22 and 2
  No swap needed
  Compare 2 and 24
  No swap needed
  Compare 24 and -7
  Swap 24 and -7
  List after swap: [-67, -40, -22, 2, -7, 24, 29]

Pass 3:
  Compare -67 and -40
  No swap needed
  Compare -40 and -22
  No swap needed
  Compare -22 and 2
  No swap needed
  Compare 2 and -7
  Swap 2 and -7
  List after swap: [-67, -40, -22, -7, 2, 24, 29]

Pass 4:
  Compare -67 and -40
  No swap needed
  Compare -40 and -22
  No swap needed
  Compare -22 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -40, -22, -7, 2, 24, 29]
</think>

<response>-67, -40, -22, -7, 2, 24, 29</response>


input: Using the bubble sort method, sort -79, -33, 17, -11, 23, 66, -25, -72, 82 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-79, -33, 17, -11, 23, 66, -25, -72, 82]

Pass 1:
  Compare -79 and -33
  No swap needed
  Compare -33 and 17
  No swap needed
  Compare 17 and -11
  Swap 17 and -11
  List after swap: [-79, -33, -11, 17, 23, 66, -25, -72, 82]
  Compare 17 and 23
  No swap needed
  Compare 23 and 66
  No swap needed
  Compare 66 and -25
  Swap 66 and -25
  List after swap: [-79, -33, -11, 17, 23, -25, 66, -72, 82]
  Compare 66 and -72
  Swap 66 and -72
  List after swap: [-79, -33, -11, 17, 23, -25, -72, 66, 82]
  Compare 66 and 82
  No swap needed

Pass 2:
  Compare -79 and -33
  No swap needed
  Compare -33 and -11
  No swap needed
  Compare -11 and 17
  No swap needed
  Compare 17 and 23
  No swap needed
  Compare 23 and -25
  Swap 23 and -25
  List after swap: [-79, -33, -11, 17, -25, 23, -72, 66, 82]
  Compare 23 and -72
  Swap 23 and -72
  List after swap: [-79, -33, -11, 17, -25, -72, 23, 66, 82]
  Compare 23 and 66
  No swap needed

Pass 3:
  Compare -79 and -33
  No swap needed
  Compare -33 and -11
  No swap needed
  Compare -11 and 17
  No swap needed
  Compare 17 and -25
  Swap 17 and -25
  List after swap: [-79, -33, -11, -25, 17, -72, 23, 66, 82]
  Compare 17 and -72
  Swap 17 and -72
  List after swap: [-79, -33, -11, -25, -72, 17, 23, 66, 82]
  Compare 17 and 23
  No swap needed

Pass 4:
  Compare -79 and -33
  No swap needed
  Compare -33 and -11
  No swap needed
  Compare -11 and -25
  Swap -11 and -25
  List after swap: [-79, -33, -25, -11, -72, 17, 23, 66, 82]
  Compare -11 and -72
  Swap -11 and -72
  List after swap: [-79, -33, -25, -72, -11, 17, 23, 66, 82]
  Compare -11 and 17
  No swap needed

Pass 5:
  Compare -79 and -33
  No swap needed
  Compare -33 and -25
  No swap needed
  Compare -25 and -72
  Swap -25 and -72
  List after swap: [-79, -33, -72, -25, -11, 17, 23, 66, 82]
  Compare -25 and -11
  No swap needed

Pass 6:
  Compare -79 and -33
  No swap needed
  Compare -33 and -72
  Swap -33 and -72
  List after swap: [-79, -72, -33, -25, -11, 17, 23, 66, 82]
  Compare -33 and -25
  No swap needed

Pass 7:
  Compare -79 and -72
  No swap needed
  Compare -72 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -72, -33, -25, -11, 17, 23, 66, 82]
</think>

<response>-79, -72, -33, -25, -11, 17, 23, 66, 82</response>


input: Carry out the bubble sort algorithm on -89, 19, 38 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-89, 19, 38]

Pass 1:
  Compare -89 and 19
  No swap needed
  Compare 19 and 38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, 19, 38]
</think>

<response>-89, 19, 38</response>


input: Sort the list -73, 88, -76, -22, 65, -46, -42, 7, 67 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-73, 88, -76, -22, 65, -46, -42, 7, 67]

Pass 1:
  Compare -73 and 88
  No swap needed
  Compare 88 and -76
  Swap 88 and -76
  List after swap: [-73, -76, 88, -22, 65, -46, -42, 7, 67]
  Compare 88 and -22
  Swap 88 and -22
  List after swap: [-73, -76, -22, 88, 65, -46, -42, 7, 67]
  Compare 88 and 65
  Swap 88 and 65
  List after swap: [-73, -76, -22, 65, 88, -46, -42, 7, 67]
  Compare 88 and -46
  Swap 88 and -46
  List after swap: [-73, -76, -22, 65, -46, 88, -42, 7, 67]
  Compare 88 and -42
  Swap 88 and -42
  List after swap: [-73, -76, -22, 65, -46, -42, 88, 7, 67]
  Compare 88 and 7
  Swap 88 and 7
  List after swap: [-73, -76, -22, 65, -46, -42, 7, 88, 67]
  Compare 88 and 67
  Swap 88 and 67
  List after swap: [-73, -76, -22, 65, -46, -42, 7, 67, 88]

Pass 2:
  Compare -73 and -76
  Swap -73 and -76
  List after swap: [-76, -73, -22, 65, -46, -42, 7, 67, 88]
  Compare -73 and -22
  No swap needed
  Compare -22 and 65
  No swap needed
  Compare 65 and -46
  Swap 65 and -46
  List after swap: [-76, -73, -22, -46, 65, -42, 7, 67, 88]
  Compare 65 and -42
  Swap 65 and -42
  List after swap: [-76, -73, -22, -46, -42, 65, 7, 67, 88]
  Compare 65 and 7
  Swap 65 and 7
  List after swap: [-76, -73, -22, -46, -42, 7, 65, 67, 88]
  Compare 65 and 67
  No swap needed

Pass 3:
  Compare -76 and -73
  No swap needed
  Compare -73 and -22
  No swap needed
  Compare -22 and -46
  Swap -22 and -46
  List after swap: [-76, -73, -46, -22, -42, 7, 65, 67, 88]
  Compare -22 and -42
  Swap -22 and -42
  List after swap: [-76, -73, -46, -42, -22, 7, 65, 67, 88]
  Compare -22 and 7
  No swap needed
  Compare 7 and 65
  No swap needed

Pass 4:
  Compare -76 and -73
  No swap needed
  Compare -73 and -46
  No swap needed
  Compare -46 and -42
  No swap needed
  Compare -42 and -22
  No swap needed
  Compare -22 and 7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -73, -46, -42, -22, 7, 65, 67, 88]
</think>

<response>-76, -73, -46, -42, -22, 7, 65, 67, 88</response>


input: Using the bubble sort method, sort -17, -39, -21, -31, 32, -30, 95, 83 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-17, -39, -21, -31, 32, -30, 95, 83]

Pass 1:
  Compare -17 and -39
  Swap -17 and -39
  List after swap: [-39, -17, -21, -31, 32, -30, 95, 83]
  Compare -17 and -21
  Swap -17 and -21
  List after swap: [-39, -21, -17, -31, 32, -30, 95, 83]
  Compare -17 and -31
  Swap -17 and -31
  List after swap: [-39, -21, -31, -17, 32, -30, 95, 83]
  Compare -17 and 32
  No swap needed
  Compare 32 and -30
  Swap 32 and -30
  List after swap: [-39, -21, -31, -17, -30, 32, 95, 83]
  Compare 32 and 95
  No swap needed
  Compare 95 and 83
  Swap 95 and 83
  List after swap: [-39, -21, -31, -17, -30, 32, 83, 95]

Pass 2:
  Compare -39 and -21
  No swap needed
  Compare -21 and -31
  Swap -21 and -31
  List after swap: [-39, -31, -21, -17, -30, 32, 83, 95]
  Compare -21 and -17
  No swap needed
  Compare -17 and -30
  Swap -17 and -30
  List after swap: [-39, -31, -21, -30, -17, 32, 83, 95]
  Compare -17 and 32
  No swap needed
  Compare 32 and 83
  No swap needed

Pass 3:
  Compare -39 and -31
  No swap needed
  Compare -31 and -21
  No swap needed
  Compare -21 and -30
  Swap -21 and -30
  List after swap: [-39, -31, -30, -21, -17, 32, 83, 95]
  Compare -21 and -17
  No swap needed
  Compare -17 and 32
  No swap needed

Pass 4:
  Compare -39 and -31
  No swap needed
  Compare -31 and -30
  No swap needed
  Compare -30 and -21
  No swap needed
  Compare -21 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-39, -31, -30, -21, -17, 32, 83, 95]
</think>

<response>-39, -31, -30, -21, -17, 32, 83, 95</response>


input: Execute bubble sort to sort -51, 61, 4, -88 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-51, 61, 4, -88]

Pass 1:
  Compare -51 and 61
  No swap needed
  Compare 61 and 4
  Swap 61 and 4
  List after swap: [-51, 4, 61, -88]
  Compare 61 and -88
  Swap 61 and -88
  List after swap: [-51, 4, -88, 61]

Pass 2:
  Compare -51 and 4
  No swap needed
  Compare 4 and -88
  Swap 4 and -88
  List after swap: [-51, -88, 4, 61]

Pass 3:
  Compare -51 and -88
  Swap -51 and -88
  List after swap: [-88, -51, 4, 61]

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

Final sorted list: [-88, -51, 4, 61]
</think>

<response>-88, -51, 4, 61</response>


input: Sort these integers -82, 57, 45, -5, -3, -10, -9, 0, -73 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-82, 57, 45, -5, -3, -10, -9, 0, -73]

Pass 1:
  Compare -82 and 57
  No swap needed
  Compare 57 and 45
  Swap 57 and 45
  List after swap: [-82, 45, 57, -5, -3, -10, -9, 0, -73]
  Compare 57 and -5
  Swap 57 and -5
  List after swap: [-82, 45, -5, 57, -3, -10, -9, 0, -73]
  Compare 57 and -3
  Swap 57 and -3
  List after swap: [-82, 45, -5, -3, 57, -10, -9, 0, -73]
  Compare 57 and -10
  Swap 57 and -10
  List after swap: [-82, 45, -5, -3, -10, 57, -9, 0, -73]
  Compare 57 and -9
  Swap 57 and -9
  List after swap: [-82, 45, -5, -3, -10, -9, 57, 0, -73]
  Compare 57 and 0
  Swap 57 and 0
  List after swap: [-82, 45, -5, -3, -10, -9, 0, 57, -73]
  Compare 57 and -73
  Swap 57 and -73
  List after swap: [-82, 45, -5, -3, -10, -9, 0, -73, 57]

Pass 2:
  Compare -82 and 45
  No swap needed
  Compare 45 and -5
  Swap 45 and -5
  List after swap: [-82, -5, 45, -3, -10, -9, 0, -73, 57]
  Compare 45 and -3
  Swap 45 and -3
  List after swap: [-82, -5, -3, 45, -10, -9, 0, -73, 57]
  Compare 45 and -10
  Swap 45 and -10
  List after swap: [-82, -5, -3, -10, 45, -9, 0, -73, 57]
  Compare 45 and -9
  Swap 45 and -9
  List after swap: [-82, -5, -3, -10, -9, 45, 0, -73, 57]
  Compare 45 and 0
  Swap 45 and 0
  List after swap: [-82, -5, -3, -10, -9, 0, 45, -73, 57]
  Compare 45 and -73
  Swap 45 and -73
  List after swap: [-82, -5, -3, -10, -9, 0, -73, 45, 57]

Pass 3:
  Compare -82 and -5
  No swap needed
  Compare -5 and -3
  No swap needed
  Compare -3 and -10
  Swap -3 and -10
  List after swap: [-82, -5, -10, -3, -9, 0, -73, 45, 57]
  Compare -3 and -9
  Swap -3 and -9
  List after swap: [-82, -5, -10, -9, -3, 0, -73, 45, 57]
  Compare -3 and 0
  No swap needed
  Compare 0 and -73
  Swap 0 and -73
  List after swap: [-82, -5, -10, -9, -3, -73, 0, 45, 57]

Pass 4:
  Compare -82 and -5
  No swap needed
  Compare -5 and -10
  Swap -5 and -10
  List after swap: [-82, -10, -5, -9, -3, -73, 0, 45, 57]
  Compare -5 and -9
  Swap -5 and -9
  List after swap: [-82, -10, -9, -5, -3, -73, 0, 45, 57]
  Compare -5 and -3
  No swap needed
  Compare -3 and -73
  Swap -3 and -73
  List after swap: [-82, -10, -9, -5, -73, -3, 0, 45, 57]

Pass 5:
  Compare -82 and -10
  No swap needed
  Compare -10 and -9
  No swap needed
  Compare -9 and -5
  No swap needed
  Compare -5 and -73
  Swap -5 and -73
  List after swap: [-82, -10, -9, -73, -5, -3, 0, 45, 57]

Pass 6:
  Compare -82 and -10
  No swap needed
  Compare -10 and -9
  No swap needed
  Compare -9 and -73
  Swap -9 and -73
  List after swap: [-82, -10, -73, -9, -5, -3, 0, 45, 57]

Pass 7:
  Compare -82 and -10
  No swap needed
  Compare -10 and -73
  Swap -10 and -73
  List after swap: [-82, -73, -10, -9, -5, -3, 0, 45, 57]

Pass 8:
  Compare -82 and -73
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -73, -10, -9, -5, -3, 0, 45, 57]
</think>

<response>-82, -73, -10, -9, -5, -3, 0, 45, 57</response>


input: Execute bubble sort to sort -10, -63, -81, 2, -54, -84, -38 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-10, -63, -81, 2, -54, -84, -38]

Pass 1:
  Compare -10 and -63
  Swap -10 and -63
  List after swap: [-63, -10, -81, 2, -54, -84, -38]
  Compare -10 and -81
  Swap -10 and -81
  List after swap: [-63, -81, -10, 2, -54, -84, -38]
  Compare -10 and 2
  No swap needed
  Compare 2 and -54
  Swap 2 and -54
  List after swap: [-63, -81, -10, -54, 2, -84, -38]
  Compare 2 and -84
  Swap 2 and -84
  List after swap: [-63, -81, -10, -54, -84, 2, -38]
  Compare 2 and -38
  Swap 2 and -38
  List after swap: [-63, -81, -10, -54, -84, -38, 2]

Pass 2:
  Compare -63 and -81
  Swap -63 and -81
  List after swap: [-81, -63, -10, -54, -84, -38, 2]
  Compare -63 and -10
  No swap needed
  Compare -10 and -54
  Swap -10 and -54
  List after swap: [-81, -63, -54, -10, -84, -38, 2]
  Compare -10 and -84
  Swap -10 and -84
  List after swap: [-81, -63, -54, -84, -10, -38, 2]
  Compare -10 and -38
  Swap -10 and -38
  List after swap: [-81, -63, -54, -84, -38, -10, 2]

Pass 3:
  Compare -81 and -63
  No swap needed
  Compare -63 and -54
  No swap needed
  Compare -54 and -84
  Swap -54 and -84
  List after swap: [-81, -63, -84, -54, -38, -10, 2]
  Compare -54 and -38
  No swap needed

Pass 4:
  Compare -81 and -63
  No swap needed
  Compare -63 and -84
  Swap -63 and -84
  List after swap: [-81, -84, -63, -54, -38, -10, 2]
  Compare -63 and -54
  No swap needed

Pass 5:
  Compare -81 and -84
  Swap -81 and -84
  List after swap: [-84, -81, -63, -54, -38, -10, 2]
  Compare -81 and -63
  No swap needed

Pass 6:
  Compare -84 and -81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -81, -63, -54, -38, -10, 2]
</think>

<response>-84, -81, -63, -54, -38, -10, 2</response>


input: Use the bubble sort technique to reorder 69, -48, -100, 78, 48, -63, -88, -54, 71 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [69, -48, -100, 78, 48, -63, -88, -54, 71]

Pass 1:
  Compare 69 and -48
  Swap 69 and -48
  List after swap: [-48, 69, -100, 78, 48, -63, -88, -54, 71]
  Compare 69 and -100
  Swap 69 and -100
  List after swap: [-48, -100, 69, 78, 48, -63, -88, -54, 71]
  Compare 69 and 78
  No swap needed
  Compare 78 and 48
  Swap 78 and 48
  List after swap: [-48, -100, 69, 48, 78, -63, -88, -54, 71]
  Compare 78 and -63
  Swap 78 and -63
  List after swap: [-48, -100, 69, 48, -63, 78, -88, -54, 71]
  Compare 78 and -88
  Swap 78 and -88
  List after swap: [-48, -100, 69, 48, -63, -88, 78, -54, 71]
  Compare 78 and -54
  Swap 78 and -54
  List after swap: [-48, -100, 69, 48, -63, -88, -54, 78, 71]
  Compare 78 and 71
  Swap 78 and 71
  List after swap: [-48, -100, 69, 48, -63, -88, -54, 71, 78]

Pass 2:
  Compare -48 and -100
  Swap -48 and -100
  List after swap: [-100, -48, 69, 48, -63, -88, -54, 71, 78]
  Compare -48 and 69
  No swap needed
  Compare 69 and 48
  Swap 69 and 48
  List after swap: [-100, -48, 48, 69, -63, -88, -54, 71, 78]
  Compare 69 and -63
  Swap 69 and -63
  List after swap: [-100, -48, 48, -63, 69, -88, -54, 71, 78]
  Compare 69 and -88
  Swap 69 and -88
  List after swap: [-100, -48, 48, -63, -88, 69, -54, 71, 78]
  Compare 69 and -54
  Swap 69 and -54
  List after swap: [-100, -48, 48, -63, -88, -54, 69, 71, 78]
  Compare 69 and 71
  No swap needed

Pass 3:
  Compare -100 and -48
  No swap needed
  Compare -48 and 48
  No swap needed
  Compare 48 and -63
  Swap 48 and -63
  List after swap: [-100, -48, -63, 48, -88, -54, 69, 71, 78]
  Compare 48 and -88
  Swap 48 and -88
  List after swap: [-100, -48, -63, -88, 48, -54, 69, 71, 78]
  Compare 48 and -54
  Swap 48 and -54
  List after swap: [-100, -48, -63, -88, -54, 48, 69, 71, 78]
  Compare 48 and 69
  No swap needed

Pass 4:
  Compare -100 and -48
  No swap needed
  Compare -48 and -63
  Swap -48 and -63
  List after swap: [-100, -63, -48, -88, -54, 48, 69, 71, 78]
  Compare -48 and -88
  Swap -48 and -88
  List after swap: [-100, -63, -88, -48, -54, 48, 69, 71, 78]
  Compare -48 and -54
  Swap -48 and -54
  List after swap: [-100, -63, -88, -54, -48, 48, 69, 71, 78]
  Compare -48 and 48
  No swap needed

Pass 5:
  Compare -100 and -63
  No swap needed
  Compare -63 and -88
  Swap -63 and -88
  List after swap: [-100, -88, -63, -54, -48, 48, 69, 71, 78]
  Compare -63 and -54
  No swap needed
  Compare -54 and -48
  No swap needed

Pass 6:
  Compare -100 and -88
  No swap needed
  Compare -88 and -63
  No swap needed
  Compare -63 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -88, -63, -54, -48, 48, 69, 71, 78]
</think>

<response>-100, -88, -63, -54, -48, 48, 69, 71, 78</response>


input: Using the bubble sort method, sort -70, 5, -71, 35, 45, 21, 1, 22, 79 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-70, 5, -71, 35, 45, 21, 1, 22, 79]

Pass 1:
  Compare -70 and 5
  No swap needed
  Compare 5 and -71
  Swap 5 and -71
  List after swap: [-70, -71, 5, 35, 45, 21, 1, 22, 79]
  Compare 5 and 35
  No swap needed
  Compare 35 and 45
  No swap needed
  Compare 45 and 21
  Swap 45 and 21
  List after swap: [-70, -71, 5, 35, 21, 45, 1, 22, 79]
  Compare 45 and 1
  Swap 45 and 1
  List after swap: [-70, -71, 5, 35, 21, 1, 45, 22, 79]
  Compare 45 and 22
  Swap 45 and 22
  List after swap: [-70, -71, 5, 35, 21, 1, 22, 45, 79]
  Compare 45 and 79
  No swap needed

Pass 2:
  Compare -70 and -71
  Swap -70 and -71
  List after swap: [-71, -70, 5, 35, 21, 1, 22, 45, 79]
  Compare -70 and 5
  No swap needed
  Compare 5 and 35
  No swap needed
  Compare 35 and 21
  Swap 35 and 21
  List after swap: [-71, -70, 5, 21, 35, 1, 22, 45, 79]
  Compare 35 and 1
  Swap 35 and 1
  List after swap: [-71, -70, 5, 21, 1, 35, 22, 45, 79]
  Compare 35 and 22
  Swap 35 and 22
  List after swap: [-71, -70, 5, 21, 1, 22, 35, 45, 79]
  Compare 35 and 45
  No swap needed

Pass 3:
  Compare -71 and -70
  No swap needed
  Compare -70 and 5
  No swap needed
  Compare 5 and 21
  No swap needed
  Compare 21 and 1
  Swap 21 and 1
  List after swap: [-71, -70, 5, 1, 21, 22, 35, 45, 79]
  Compare 21 and 22
  No swap needed
  Compare 22 and 35
  No swap needed

Pass 4:
  Compare -71 and -70
  No swap needed
  Compare -70 and 5
  No swap needed
  Compare 5 and 1
  Swap 5 and 1
  List after swap: [-71, -70, 1, 5, 21, 22, 35, 45, 79]
  Compare 5 and 21
  No swap needed
  Compare 21 and 22
  No swap needed

Pass 5:
  Compare -71 and -70
  No swap needed
  Compare -70 and 1
  No swap needed
  Compare 1 and 5
  No swap needed
  Compare 5 and 21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -70, 1, 5, 21, 22, 35, 45, 79]
</think>

<response>-71, -70, 1, 5, 21, 22, 35, 45, 79</response>


input: Sort these integers 51, -8, 97, -100, 11, 74, 10, -64, 12 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [51, -8, 97, -100, 11, 74, 10, -64, 12]

Pass 1:
  Compare 51 and -8
  Swap 51 and -8
  List after swap: [-8, 51, 97, -100, 11, 74, 10, -64, 12]
  Compare 51 and 97
  No swap needed
  Compare 97 and -100
  Swap 97 and -100
  List after swap: [-8, 51, -100, 97, 11, 74, 10, -64, 12]
  Compare 97 and 11
  Swap 97 and 11
  List after swap: [-8, 51, -100, 11, 97, 74, 10, -64, 12]
  Compare 97 and 74
  Swap 97 and 74
  List after swap: [-8, 51, -100, 11, 74, 97, 10, -64, 12]
  Compare 97 and 10
  Swap 97 and 10
  List after swap: [-8, 51, -100, 11, 74, 10, 97, -64, 12]
  Compare 97 and -64
  Swap 97 and -64
  List after swap: [-8, 51, -100, 11, 74, 10, -64, 97, 12]
  Compare 97 and 12
  Swap 97 and 12
  List after swap: [-8, 51, -100, 11, 74, 10, -64, 12, 97]

Pass 2:
  Compare -8 and 51
  No swap needed
  Compare 51 and -100
  Swap 51 and -100
  List after swap: [-8, -100, 51, 11, 74, 10, -64, 12, 97]
  Compare 51 and 11
  Swap 51 and 11
  List after swap: [-8, -100, 11, 51, 74, 10, -64, 12, 97]
  Compare 51 and 74
  No swap needed
  Compare 74 and 10
  Swap 74 and 10
  List after swap: [-8, -100, 11, 51, 10, 74, -64, 12, 97]
  Compare 74 and -64
  Swap 74 and -64
  List after swap: [-8, -100, 11, 51, 10, -64, 74, 12, 97]
  Compare 74 and 12
  Swap 74 and 12
  List after swap: [-8, -100, 11, 51, 10, -64, 12, 74, 97]

Pass 3:
  Compare -8 and -100
  Swap -8 and -100
  List after swap: [-100, -8, 11, 51, 10, -64, 12, 74, 97]
  Compare -8 and 11
  No swap needed
  Compare 11 and 51
  No swap needed
  Compare 51 and 10
  Swap 51 and 10
  List after swap: [-100, -8, 11, 10, 51, -64, 12, 74, 97]
  Compare 51 and -64
  Swap 51 and -64
  List after swap: [-100, -8, 11, 10, -64, 51, 12, 74, 97]
  Compare 51 and 12
  Swap 51 and 12
  List after swap: [-100, -8, 11, 10, -64, 12, 51, 74, 97]

Pass 4:
  Compare -100 and -8
  No swap needed
  Compare -8 and 11
  No swap needed
  Compare 11 and 10
  Swap 11 and 10
  List after swap: [-100, -8, 10, 11, -64, 12, 51, 74, 97]
  Compare 11 and -64
  Swap 11 and -64
  List after swap: [-100, -8, 10, -64, 11, 12, 51, 74, 97]
  Compare 11 and 12
  No swap needed

Pass 5:
  Compare -100 and -8
  No swap needed
  Compare -8 and 10
  No swap needed
  Compare 10 and -64
  Swap 10 and -64
  List after swap: [-100, -8, -64, 10, 11, 12, 51, 74, 97]
  Compare 10 and 11
  No swap needed

Pass 6:
  Compare -100 and -8
  No swap needed
  Compare -8 and -64
  Swap -8 and -64
  List after swap: [-100, -64, -8, 10, 11, 12, 51, 74, 97]
  Compare -8 and 10
  No swap needed

Pass 7:
  Compare -100 and -64
  No swap needed
  Compare -64 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -64, -8, 10, 11, 12, 51, 74, 97]
</think>

<response>-100, -64, -8, 10, 11, 12, 51, 74, 97</response>


input: Sort these integers -20, -50, -32, 30, 45, 48 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-20, -50, -32, 30, 45, 48]

Pass 1:
  Compare -20 and -50
  Swap -20 and -50
  List after swap: [-50, -20, -32, 30, 45, 48]
  Compare -20 and -32
  Swap -20 and -32
  List after swap: [-50, -32, -20, 30, 45, 48]
  Compare -20 and 30
  No swap needed
  Compare 30 and 45
  No swap needed
  Compare 45 and 48
  No swap needed

Pass 2:
  Compare -50 and -32
  No swap needed
  Compare -32 and -20
  No swap needed
  Compare -20 and 30
  No swap needed
  Compare 30 and 45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, -32, -20, 30, 45, 48]
</think>

<response>-50, -32, -20, 30, 45, 48</response>


input: Perform a bubble sort on the integers 35, 46, -67, -38, -30, 45, -57, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [35, 46, -67, -38, -30, 45, -57]

Pass 1:
  Compare 35 and 46
  No swap needed
  Compare 46 and -67
  Swap 46 and -67
  List after swap: [35, -67, 46, -38, -30, 45, -57]
  Compare 46 and -38
  Swap 46 and -38
  List after swap: [35, -67, -38, 46, -30, 45, -57]
  Compare 46 and -30
  Swap 46 and -30
  List after swap: [35, -67, -38, -30, 46, 45, -57]
  Compare 46 and 45
  Swap 46 and 45
  List after swap: [35, -67, -38, -30, 45, 46, -57]
  Compare 46 and -57
  Swap 46 and -57
  List after swap: [35, -67, -38, -30, 45, -57, 46]

Pass 2:
  Compare 35 and -67
  Swap 35 and -67
  List after swap: [-67, 35, -38, -30, 45, -57, 46]
  Compare 35 and -38
  Swap 35 and -38
  List after swap: [-67, -38, 35, -30, 45, -57, 46]
  Compare 35 and -30
  Swap 35 and -30
  List after swap: [-67, -38, -30, 35, 45, -57, 46]
  Compare 35 and 45
  No swap needed
  Compare 45 and -57
  Swap 45 and -57
  List after swap: [-67, -38, -30, 35, -57, 45, 46]

Pass 3:
  Compare -67 and -38
  No swap needed
  Compare -38 and -30
  No swap needed
  Compare -30 and 35
  No swap needed
  Compare 35 and -57
  Swap 35 and -57
  List after swap: [-67, -38, -30, -57, 35, 45, 46]

Pass 4:
  Compare -67 and -38
  No swap needed
  Compare -38 and -30
  No swap needed
  Compare -30 and -57
  Swap -30 and -57
  List after swap: [-67, -38, -57, -30, 35, 45, 46]

Pass 5:
  Compare -67 and -38
  No swap needed
  Compare -38 and -57
  Swap -38 and -57
  List after swap: [-67, -57, -38, -30, 35, 45, 46]

Pass 6:
  Compare -67 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -57, -38, -30, 35, 45, 46]
</think>

<response>-67, -57, -38, -30, 35, 45, 46</response>


input: Sort the list -97, -24, 10, -52, 37, -4 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-97, -24, 10, -52, 37, -4]

Pass 1:
  Compare -97 and -24
  No swap needed
  Compare -24 and 10
  No swap needed
  Compare 10 and -52
  Swap 10 and -52
  List after swap: [-97, -24, -52, 10, 37, -4]
  Compare 10 and 37
  No swap needed
  Compare 37 and -4
  Swap 37 and -4
  List after swap: [-97, -24, -52, 10, -4, 37]

Pass 2:
  Compare -97 and -24
  No swap needed
  Compare -24 and -52
  Swap -24 and -52
  List after swap: [-97, -52, -24, 10, -4, 37]
  Compare -24 and 10
  No swap needed
  Compare 10 and -4
  Swap 10 and -4
  List after swap: [-97, -52, -24, -4, 10, 37]

Pass 3:
  Compare -97 and -52
  No swap needed
  Compare -52 and -24
  No swap needed
  Compare -24 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -52, -24, -4, 10, 37]
</think>

<response>-97, -52, -24, -4, 10, 37</response>


input: Carry out the bubble sort algorithm on 2, 52 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [2, 52]

Pass 1:
  Compare 2 and 52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [2, 52]
</think>

<response>2, 52</response>


input: Perform a bubble sort on the integers 84, -35, -38, 18, 46, 52, 55, -88, -69, -91, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [84, -35, -38, 18, 46, 52, 55, -88, -69, -91]

Pass 1:
  Compare 84 and -35
  Swap 84 and -35
  List after swap: [-35, 84, -38, 18, 46, 52, 55, -88, -69, -91]
  Compare 84 and -38
  Swap 84 and -38
  List after swap: [-35, -38, 84, 18, 46, 52, 55, -88, -69, -91]
  Compare 84 and 18
  Swap 84 and 18
  List after swap: [-35, -38, 18, 84, 46, 52, 55, -88, -69, -91]
  Compare 84 and 46
  Swap 84 and 46
  List after swap: [-35, -38, 18, 46, 84, 52, 55, -88, -69, -91]
  Compare 84 and 52
  Swap 84 and 52
  List after swap: [-35, -38, 18, 46, 52, 84, 55, -88, -69, -91]
  Compare 84 and 55
  Swap 84 and 55
  List after swap: [-35, -38, 18, 46, 52, 55, 84, -88, -69, -91]
  Compare 84 and -88
  Swap 84 and -88
  List after swap: [-35, -38, 18, 46, 52, 55, -88, 84, -69, -91]
  Compare 84 and -69
  Swap 84 and -69
  List after swap: [-35, -38, 18, 46, 52, 55, -88, -69, 84, -91]
  Compare 84 and -91
  Swap 84 and -91
  List after swap: [-35, -38, 18, 46, 52, 55, -88, -69, -91, 84]

Pass 2:
  Compare -35 and -38
  Swap -35 and -38
  List after swap: [-38, -35, 18, 46, 52, 55, -88, -69, -91, 84]
  Compare -35 and 18
  No swap needed
  Compare 18 and 46
  No swap needed
  Compare 46 and 52
  No swap needed
  Compare 52 and 55
  No swap needed
  Compare 55 and -88
  Swap 55 and -88
  List after swap: [-38, -35, 18, 46, 52, -88, 55, -69, -91, 84]
  Compare 55 and -69
  Swap 55 and -69
  List after swap: [-38, -35, 18, 46, 52, -88, -69, 55, -91, 84]
  Compare 55 and -91
  Swap 55 and -91
  List after swap: [-38, -35, 18, 46, 52, -88, -69, -91, 55, 84]

Pass 3:
  Compare -38 and -35
  No swap needed
  Compare -35 and 18
  No swap needed
  Compare 18 and 46
  No swap needed
  Compare 46 and 52
  No swap needed
  Compare 52 and -88
  Swap 52 and -88
  List after swap: [-38, -35, 18, 46, -88, 52, -69, -91, 55, 84]
  Compare 52 and -69
  Swap 52 and -69
  List after swap: [-38, -35, 18, 46, -88, -69, 52, -91, 55, 84]
  Compare 52 and -91
  Swap 52 and -91
  List after swap: [-38, -35, 18, 46, -88, -69, -91, 52, 55, 84]

Pass 4:
  Compare -38 and -35
  No swap needed
  Compare -35 and 18
  No swap needed
  Compare 18 and 46
  No swap needed
  Compare 46 and -88
  Swap 46 and -88
  List after swap: [-38, -35, 18, -88, 46, -69, -91, 52, 55, 84]
  Compare 46 and -69
  Swap 46 and -69
  List after swap: [-38, -35, 18, -88, -69, 46, -91, 52, 55, 84]
  Compare 46 and -91
  Swap 46 and -91
  List after swap: [-38, -35, 18, -88, -69, -91, 46, 52, 55, 84]

Pass 5:
  Compare -38 and -35
  No swap needed
  Compare -35 and 18
  No swap needed
  Compare 18 and -88
  Swap 18 and -88
  List after swap: [-38, -35, -88, 18, -69, -91, 46, 52, 55, 84]
  Compare 18 and -69
  Swap 18 and -69
  List after swap: [-38, -35, -88, -69, 18, -91, 46, 52, 55, 84]
  Compare 18 and -91
  Swap 18 and -91
  List after swap: [-38, -35, -88, -69, -91, 18, 46, 52, 55, 84]

Pass 6:
  Compare -38 and -35
  No swap needed
  Compare -35 and -88
  Swap -35 and -88
  List after swap: [-38, -88, -35, -69, -91, 18, 46, 52, 55, 84]
  Compare -35 and -69
  Swap -35 and -69
  List after swap: [-38, -88, -69, -35, -91, 18, 46, 52, 55, 84]
  Compare -35 and -91
  Swap -35 and -91
  List after swap: [-38, -88, -69, -91, -35, 18, 46, 52, 55, 84]

Pass 7:
  Compare -38 and -88
  Swap -38 and -88
  List after swap: [-88, -38, -69, -91, -35, 18, 46, 52, 55, 84]
  Compare -38 and -69
  Swap -38 and -69
  List after swap: [-88, -69, -38, -91, -35, 18, 46, 52, 55, 84]
  Compare -38 and -91
  Swap -38 and -91
  List after swap: [-88, -69, -91, -38, -35, 18, 46, 52, 55, 84]

Pass 8:
  Compare -88 and -69
  No swap needed
  Compare -69 and -91
  Swap -69 and -91
  List after swap: [-88, -91, -69, -38, -35, 18, 46, 52, 55, 84]

Pass 9:
  Compare -88 and -91
  Swap -88 and -91
  List after swap: [-91, -88, -69, -38, -35, 18, 46, 52, 55, 84]

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

Final sorted list: [-91, -88, -69, -38, -35, 18, 46, 52, 55, 84]
</think>

<response>-91, -88, -69, -38, -35, 18, 46, 52, 55, 84</response>


input: Execute bubble sort to sort -92, -9, -40, 8 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-92, -9, -40, 8]

Pass 1:
  Compare -92 and -9
  No swap needed
  Compare -9 and -40
  Swap -9 and -40
  List after swap: [-92, -40, -9, 8]
  Compare -9 and 8
  No swap needed

Pass 2:
  Compare -92 and -40
  No swap needed
  Compare -40 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -40, -9, 8]
</think>

<response>-92, -40, -9, 8</response>


input: Demonstrate how bubble sort orders the integers 71, -91, 22, 10, -3, -46, -19 in ascending sequence, showing all steps.

output:
<think>
Initial list: [71, -91, 22, 10, -3, -46, -19]

Pass 1:
  Compare 71 and -91
  Swap 71 and -91
  List after swap: [-91, 71, 22, 10, -3, -46, -19]
  Compare 71 and 22
  Swap 71 and 22
  List after swap: [-91, 22, 71, 10, -3, -46, -19]
  Compare 71 and 10
  Swap 71 and 10
  List after swap: [-91, 22, 10, 71, -3, -46, -19]
  Compare 71 and -3
  Swap 71 and -3
  List after swap: [-91, 22, 10, -3, 71, -46, -19]
  Compare 71 and -46
  Swap 71 and -46
  List after swap: [-91, 22, 10, -3, -46, 71, -19]
  Compare 71 and -19
  Swap 71 and -19
  List after swap: [-91, 22, 10, -3, -46, -19, 71]

Pass 2:
  Compare -91 and 22
  No swap needed
  Compare 22 and 10
  Swap 22 and 10
  List after swap: [-91, 10, 22, -3, -46, -19, 71]
  Compare 22 and -3
  Swap 22 and -3
  List after swap: [-91, 10, -3, 22, -46, -19, 71]
  Compare 22 and -46
  Swap 22 and -46
  List after swap: [-91, 10, -3, -46, 22, -19, 71]
  Compare 22 and -19
  Swap 22 and -19
  List after swap: [-91, 10, -3, -46, -19, 22, 71]

Pass 3:
  Compare -91 and 10
  No swap needed
  Compare 10 and -3
  Swap 10 and -3
  List after swap: [-91, -3, 10, -46, -19, 22, 71]
  Compare 10 and -46
  Swap 10 and -46
  List after swap: [-91, -3, -46, 10, -19, 22, 71]
  Compare 10 and -19
  Swap 10 and -19
  List after swap: [-91, -3, -46, -19, 10, 22, 71]

Pass 4:
  Compare -91 and -3
  No swap needed
  Compare -3 and -46
  Swap -3 and -46
  List after swap: [-91, -46, -3, -19, 10, 22, 71]
  Compare -3 and -19
  Swap -3 and -19
  List after swap: [-91, -46, -19, -3, 10, 22, 71]

Pass 5:
  Compare -91 and -46
  No swap needed
  Compare -46 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -46, -19, -3, 10, 22, 71]
</think>

<response>-91, -46, -19, -3, 10, 22, 71</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 49, 24, -16, -7, 35, 96, -5, 54, -54.

output:
<think>
Initial list: [49, 24, -16, -7, 35, 96, -5, 54, -54]

Pass 1:
  Compare 49 and 24
  Swap 49 and 24
  List after swap: [24, 49, -16, -7, 35, 96, -5, 54, -54]
  Compare 49 and -16
  Swap 49 and -16
  List after swap: [24, -16, 49, -7, 35, 96, -5, 54, -54]
  Compare 49 and -7
  Swap 49 and -7
  List after swap: [24, -16, -7, 49, 35, 96, -5, 54, -54]
  Compare 49 and 35
  Swap 49 and 35
  List after swap: [24, -16, -7, 35, 49, 96, -5, 54, -54]
  Compare 49 and 96
  No swap needed
  Compare 96 and -5
  Swap 96 and -5
  List after swap: [24, -16, -7, 35, 49, -5, 96, 54, -54]
  Compare 96 and 54
  Swap 96 and 54
  List after swap: [24, -16, -7, 35, 49, -5, 54, 96, -54]
  Compare 96 and -54
  Swap 96 and -54
  List after swap: [24, -16, -7, 35, 49, -5, 54, -54, 96]

Pass 2:
  Compare 24 and -16
  Swap 24 and -16
  List after swap: [-16, 24, -7, 35, 49, -5, 54, -54, 96]
  Compare 24 and -7
  Swap 24 and -7
  List after swap: [-16, -7, 24, 35, 49, -5, 54, -54, 96]
  Compare 24 and 35
  No swap needed
  Compare 35 and 49
  No swap needed
  Compare 49 and -5
  Swap 49 and -5
  List after swap: [-16, -7, 24, 35, -5, 49, 54, -54, 96]
  Compare 49 and 54
  No swap needed
  Compare 54 and -54
  Swap 54 and -54
  List after swap: [-16, -7, 24, 35, -5, 49, -54, 54, 96]

Pass 3:
  Compare -16 and -7
  No swap needed
  Compare -7 and 24
  No swap needed
  Compare 24 and 35
  No swap needed
  Compare 35 and -5
  Swap 35 and -5
  List after swap: [-16, -7, 24, -5, 35, 49, -54, 54, 96]
  Compare 35 and 49
  No swap needed
  Compare 49 and -54
  Swap 49 and -54
  List after swap: [-16, -7, 24, -5, 35, -54, 49, 54, 96]

Pass 4:
  Compare -16 and -7
  No swap needed
  Compare -7 and 24
  No swap needed
  Compare 24 and -5
  Swap 24 and -5
  List after swap: [-16, -7, -5, 24, 35, -54, 49, 54, 96]
  Compare 24 and 35
  No swap needed
  Compare 35 and -54
  Swap 35 and -54
  List after swap: [-16, -7, -5, 24, -54, 35, 49, 54, 96]

Pass 5:
  Compare -16 and -7
  No swap needed
  Compare -7 and -5
  No swap needed
  Compare -5 and 24
  No swap needed
  Compare 24 and -54
  Swap 24 and -54
  List after swap: [-16, -7, -5, -54, 24, 35, 49, 54, 96]

Pass 6:
  Compare -16 and -7
  No swap needed
  Compare -7 and -5
  No swap needed
  Compare -5 and -54
  Swap -5 and -54
  List after swap: [-16, -7, -54, -5, 24, 35, 49, 54, 96]

Pass 7:
  Compare -16 and -7
  No swap needed
  Compare -7 and -54
  Swap -7 and -54
  List after swap: [-16, -54, -7, -5, 24, 35, 49, 54, 96]

Pass 8:
  Compare -16 and -54
  Swap -16 and -54
  List after swap: [-54, -16, -7, -5, 24, 35, 49, 54, 96]

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

Final sorted list: [-54, -16, -7, -5, 24, 35, 49, 54, 96]
</think>

<response>-54, -16, -7, -5, 24, 35, 49, 54, 96</response>


input: Carry out the bubble sort algorithm on 12, 20, 47 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [12, 20, 47]

Pass 1:
  Compare 12 and 20
  No swap needed
  Compare 20 and 47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [12, 20, 47]
</think>

<response>12, 20, 47</response>


input: Arrange the numbers -76, -39, 76, -95, -99 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-76, -39, 76, -95, -99]

Pass 1:
  Compare -76 and -39
  No swap needed
  Compare -39 and 76
  No swap needed
  Compare 76 and -95
  Swap 76 and -95
  List after swap: [-76, -39, -95, 76, -99]
  Compare 76 and -99
  Swap 76 and -99
  List after swap: [-76, -39, -95, -99, 76]

Pass 2:
  Compare -76 and -39
  No swap needed
  Compare -39 and -95
  Swap -39 and -95
  List after swap: [-76, -95, -39, -99, 76]
  Compare -39 and -99
  Swap -39 and -99
  List after swap: [-76, -95, -99, -39, 76]

Pass 3:
  Compare -76 and -95
  Swap -76 and -95
  List after swap: [-95, -76, -99, -39, 76]
  Compare -76 and -99
  Swap -76 and -99
  List after swap: [-95, -99, -76, -39, 76]

Pass 4:
  Compare -95 and -99
  Swap -95 and -99
  List after swap: [-99, -95, -76, -39, 76]

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

Final sorted list: [-99, -95, -76, -39, 76]
</think>

<response>-99, -95, -76, -39, 76</response>


input: Using the bubble sort method, sort -50, -58, 81, 87, 88, -71, -42, -63, 55 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-50, -58, 81, 87, 88, -71, -42, -63, 55]

Pass 1:
  Compare -50 and -58
  Swap -50 and -58
  List after swap: [-58, -50, 81, 87, 88, -71, -42, -63, 55]
  Compare -50 and 81
  No swap needed
  Compare 81 and 87
  No swap needed
  Compare 87 and 88
  No swap needed
  Compare 88 and -71
  Swap 88 and -71
  List after swap: [-58, -50, 81, 87, -71, 88, -42, -63, 55]
  Compare 88 and -42
  Swap 88 and -42
  List after swap: [-58, -50, 81, 87, -71, -42, 88, -63, 55]
  Compare 88 and -63
  Swap 88 and -63
  List after swap: [-58, -50, 81, 87, -71, -42, -63, 88, 55]
  Compare 88 and 55
  Swap 88 and 55
  List after swap: [-58, -50, 81, 87, -71, -42, -63, 55, 88]

Pass 2:
  Compare -58 and -50
  No swap needed
  Compare -50 and 81
  No swap needed
  Compare 81 and 87
  No swap needed
  Compare 87 and -71
  Swap 87 and -71
  List after swap: [-58, -50, 81, -71, 87, -42, -63, 55, 88]
  Compare 87 and -42
  Swap 87 and -42
  List after swap: [-58, -50, 81, -71, -42, 87, -63, 55, 88]
  Compare 87 and -63
  Swap 87 and -63
  List after swap: [-58, -50, 81, -71, -42, -63, 87, 55, 88]
  Compare 87 and 55
  Swap 87 and 55
  List after swap: [-58, -50, 81, -71, -42, -63, 55, 87, 88]

Pass 3:
  Compare -58 and -50
  No swap needed
  Compare -50 and 81
  No swap needed
  Compare 81 and -71
  Swap 81 and -71
  List after swap: [-58, -50, -71, 81, -42, -63, 55, 87, 88]
  Compare 81 and -42
  Swap 81 and -42
  List after swap: [-58, -50, -71, -42, 81, -63, 55, 87, 88]
  Compare 81 and -63
  Swap 81 and -63
  List after swap: [-58, -50, -71, -42, -63, 81, 55, 87, 88]
  Compare 81 and 55
  Swap 81 and 55
  List after swap: [-58, -50, -71, -42, -63, 55, 81, 87, 88]

Pass 4:
  Compare -58 and -50
  No swap needed
  Compare -50 and -71
  Swap -50 and -71
  List after swap: [-58, -71, -50, -42, -63, 55, 81, 87, 88]
  Compare -50 and -42
  No swap needed
  Compare -42 and -63
  Swap -42 and -63
  List after swap: [-58, -71, -50, -63, -42, 55, 81, 87, 88]
  Compare -42 and 55
  No swap needed

Pass 5:
  Compare -58 and -71
  Swap -58 and -71
  List after swap: [-71, -58, -50, -63, -42, 55, 81, 87, 88]
  Compare -58 and -50
  No swap needed
  Compare -50 and -63
  Swap -50 and -63
  List after swap: [-71, -58, -63, -50, -42, 55, 81, 87, 88]
  Compare -50 and -42
  No swap needed

Pass 6:
  Compare -71 and -58
  No swap needed
  Compare -58 and -63
  Swap -58 and -63
  List after swap: [-71, -63, -58, -50, -42, 55, 81, 87, 88]
  Compare -58 and -50
  No swap needed

Pass 7:
  Compare -71 and -63
  No swap needed
  Compare -63 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -63, -58, -50, -42, 55, 81, 87, 88]
</think>

<response>-71, -63, -58, -50, -42, 55, 81, 87, 88</response>


input: Using the bubble sort method, sort 7, -28, 60, -62 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [7, -28, 60, -62]

Pass 1:
  Compare 7 and -28
  Swap 7 and -28
  List after swap: [-28, 7, 60, -62]
  Compare 7 and 60
  No swap needed
  Compare 60 and -62
  Swap 60 and -62
  List after swap: [-28, 7, -62, 60]

Pass 2:
  Compare -28 and 7
  No swap needed
  Compare 7 and -62
  Swap 7 and -62
  List after swap: [-28, -62, 7, 60]

Pass 3:
  Compare -28 and -62
  Swap -28 and -62
  List after swap: [-62, -28, 7, 60]

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

Final sorted list: [-62, -28, 7, 60]
</think>

<response>-62, -28, 7, 60</response>


input: Implement bubble sort on 16, -33, -75, -74 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [16, -33, -75, -74]

Pass 1:
  Compare 16 and -33
  Swap 16 and -33
  List after swap: [-33, 16, -75, -74]
  Compare 16 and -75
  Swap 16 and -75
  List after swap: [-33, -75, 16, -74]
  Compare 16 and -74
  Swap 16 and -74
  List after swap: [-33, -75, -74, 16]

Pass 2:
  Compare -33 and -75
  Swap -33 and -75
  List after swap: [-75, -33, -74, 16]
  Compare -33 and -74
  Swap -33 and -74
  List after swap: [-75, -74, -33, 16]

Pass 3:
  Compare -75 and -74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -74, -33, 16]
</think>

<response>-75, -74, -33, 16</response>


input: Demonstrate how bubble sort orders the integers 11, -7, 58, 8, 93, 85, 2, 12 in ascending sequence, showing all steps.

output:
<think>
Initial list: [11, -7, 58, 8, 93, 85, 2, 12]

Pass 1:
  Compare 11 and -7
  Swap 11 and -7
  List after swap: [-7, 11, 58, 8, 93, 85, 2, 12]
  Compare 11 and 58
  No swap needed
  Compare 58 and 8
  Swap 58 and 8
  List after swap: [-7, 11, 8, 58, 93, 85, 2, 12]
  Compare 58 and 93
  No swap needed
  Compare 93 and 85
  Swap 93 and 85
  List after swap: [-7, 11, 8, 58, 85, 93, 2, 12]
  Compare 93 and 2
  Swap 93 and 2
  List after swap: [-7, 11, 8, 58, 85, 2, 93, 12]
  Compare 93 and 12
  Swap 93 and 12
  List after swap: [-7, 11, 8, 58, 85, 2, 12, 93]

Pass 2:
  Compare -7 and 11
  No swap needed
  Compare 11 and 8
  Swap 11 and 8
  List after swap: [-7, 8, 11, 58, 85, 2, 12, 93]
  Compare 11 and 58
  No swap needed
  Compare 58 and 85
  No swap needed
  Compare 85 and 2
  Swap 85 and 2
  List after swap: [-7, 8, 11, 58, 2, 85, 12, 93]
  Compare 85 and 12
  Swap 85 and 12
  List after swap: [-7, 8, 11, 58, 2, 12, 85, 93]

Pass 3:
  Compare -7 and 8
  No swap needed
  Compare 8 and 11
  No swap needed
  Compare 11 and 58
  No swap needed
  Compare 58 and 2
  Swap 58 and 2
  List after swap: [-7, 8, 11, 2, 58, 12, 85, 93]
  Compare 58 and 12
  Swap 58 and 12
  List after swap: [-7, 8, 11, 2, 12, 58, 85, 93]

Pass 4:
  Compare -7 and 8
  No swap needed
  Compare 8 and 11
  No swap needed
  Compare 11 and 2
  Swap 11 and 2
  List after swap: [-7, 8, 2, 11, 12, 58, 85, 93]
  Compare 11 and 12
  No swap needed

Pass 5:
  Compare -7 and 8
  No swap needed
  Compare 8 and 2
  Swap 8 and 2
  List after swap: [-7, 2, 8, 11, 12, 58, 85, 93]
  Compare 8 and 11
  No swap needed

Pass 6:
  Compare -7 and 2
  No swap needed
  Compare 2 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-7, 2, 8, 11, 12, 58, 85, 93]
</think>

<response>-7, 2, 8, 11, 12, 58, 85, 93</response>


input: Sort these integers 36, 75, 98, 21, 15 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [36, 75, 98, 21, 15]

Pass 1:
  Compare 36 and 75
  No swap needed
  Compare 75 and 98
  No swap needed
  Compare 98 and 21
  Swap 98 and 21
  List after swap: [36, 75, 21, 98, 15]
  Compare 98 and 15
  Swap 98 and 15
  List after swap: [36, 75, 21, 15, 98]

Pass 2:
  Compare 36 and 75
  No swap needed
  Compare 75 and 21
  Swap 75 and 21
  List after swap: [36, 21, 75, 15, 98]
  Compare 75 and 15
  Swap 75 and 15
  List after swap: [36, 21, 15, 75, 98]

Pass 3:
  Compare 36 and 21
  Swap 36 and 21
  List after swap: [21, 36, 15, 75, 98]
  Compare 36 and 15
  Swap 36 and 15
  List after swap: [21, 15, 36, 75, 98]

Pass 4:
  Compare 21 and 15
  Swap 21 and 15
  List after swap: [15, 21, 36, 75, 98]

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

Final sorted list: [15, 21, 36, 75, 98]
</think>

<response>15, 21, 36, 75, 98</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -29, 38, -28, 15, 52, -41, -61.

output:
<think>
Initial list: [-29, 38, -28, 15, 52, -41, -61]

Pass 1:
  Compare -29 and 38
  No swap needed
  Compare 38 and -28
  Swap 38 and -28
  List after swap: [-29, -28, 38, 15, 52, -41, -61]
  Compare 38 and 15
  Swap 38 and 15
  List after swap: [-29, -28, 15, 38, 52, -41, -61]
  Compare 38 and 52
  No swap needed
  Compare 52 and -41
  Swap 52 and -41
  List after swap: [-29, -28, 15, 38, -41, 52, -61]
  Compare 52 and -61
  Swap 52 and -61
  List after swap: [-29, -28, 15, 38, -41, -61, 52]

Pass 2:
  Compare -29 and -28
  No swap needed
  Compare -28 and 15
  No swap needed
  Compare 15 and 38
  No swap needed
  Compare 38 and -41
  Swap 38 and -41
  List after swap: [-29, -28, 15, -41, 38, -61, 52]
  Compare 38 and -61
  Swap 38 and -61
  List after swap: [-29, -28, 15, -41, -61, 38, 52]

Pass 3:
  Compare -29 and -28
  No swap needed
  Compare -28 and 15
  No swap needed
  Compare 15 and -41
  Swap 15 and -41
  List after swap: [-29, -28, -41, 15, -61, 38, 52]
  Compare 15 and -61
  Swap 15 and -61
  List after swap: [-29, -28, -41, -61, 15, 38, 52]

Pass 4:
  Compare -29 and -28
  No swap needed
  Compare -28 and -41
  Swap -28 and -41
  List after swap: [-29, -41, -28, -61, 15, 38, 52]
  Compare -28 and -61
  Swap -28 and -61
  List after swap: [-29, -41, -61, -28, 15, 38, 52]

Pass 5:
  Compare -29 and -41
  Swap -29 and -41
  List after swap: [-41, -29, -61, -28, 15, 38, 52]
  Compare -29 and -61
  Swap -29 and -61
  List after swap: [-41, -61, -29, -28, 15, 38, 52]

Pass 6:
  Compare -41 and -61
  Swap -41 and -61
  List after swap: [-61, -41, -29, -28, 15, 38, 52]

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

Final sorted list: [-61, -41, -29, -28, 15, 38, 52]
</think>

<response>-61, -41, -29, -28, 15, 38, 52</response>


input: Using the bubble sort method, sort -31, -71 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-31, -71]

Pass 1:
  Compare -31 and -71
  Swap -31 and -71
  List after swap: [-71, -31]

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

Final sorted list: [-71, -31]
</think>

<response>-71, -31</response>


input: Sort these integers 30, 4, -72, -23, -43 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [30, 4, -72, -23, -43]

Pass 1:
  Compare 30 and 4
  Swap 30 and 4
  List after swap: [4, 30, -72, -23, -43]
  Compare 30 and -72
  Swap 30 and -72
  List after swap: [4, -72, 30, -23, -43]
  Compare 30 and -23
  Swap 30 and -23
  List after swap: [4, -72, -23, 30, -43]
  Compare 30 and -43
  Swap 30 and -43
  List after swap: [4, -72, -23, -43, 30]

Pass 2:
  Compare 4 and -72
  Swap 4 and -72
  List after swap: [-72, 4, -23, -43, 30]
  Compare 4 and -23
  Swap 4 and -23
  List after swap: [-72, -23, 4, -43, 30]
  Compare 4 and -43
  Swap 4 and -43
  List after swap: [-72, -23, -43, 4, 30]

Pass 3:
  Compare -72 and -23
  No swap needed
  Compare -23 and -43
  Swap -23 and -43
  List after swap: [-72, -43, -23, 4, 30]

Pass 4:
  Compare -72 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -43, -23, 4, 30]
</think>

<response>-72, -43, -23, 4, 30</response>


input: Execute bubble sort to sort 77, -51, 0, 51 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [77, -51, 0, 51]

Pass 1:
  Compare 77 and -51
  Swap 77 and -51
  List after swap: [-51, 77, 0, 51]
  Compare 77 and 0
  Swap 77 and 0
  List after swap: [-51, 0, 77, 51]
  Compare 77 and 51
  Swap 77 and 51
  List after swap: [-51, 0, 51, 77]

Pass 2:
  Compare -51 and 0
  No swap needed
  Compare 0 and 51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-51, 0, 51, 77]
</think>

<response>-51, 0, 51, 77</response>


input: Use the bubble sort technique to reorder 56, 93, -37, 52, 68, 26, -28 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [56, 93, -37, 52, 68, 26, -28]

Pass 1:
  Compare 56 and 93
  No swap needed
  Compare 93 and -37
  Swap 93 and -37
  List after swap: [56, -37, 93, 52, 68, 26, -28]
  Compare 93 and 52
  Swap 93 and 52
  List after swap: [56, -37, 52, 93, 68, 26, -28]
  Compare 93 and 68
  Swap 93 and 68
  List after swap: [56, -37, 52, 68, 93, 26, -28]
  Compare 93 and 26
  Swap 93 and 26
  List after swap: [56, -37, 52, 68, 26, 93, -28]
  Compare 93 and -28
  Swap 93 and -28
  List after swap: [56, -37, 52, 68, 26, -28, 93]

Pass 2:
  Compare 56 and -37
  Swap 56 and -37
  List after swap: [-37, 56, 52, 68, 26, -28, 93]
  Compare 56 and 52
  Swap 56 and 52
  List after swap: [-37, 52, 56, 68, 26, -28, 93]
  Compare 56 and 68
  No swap needed
  Compare 68 and 26
  Swap 68 and 26
  List after swap: [-37, 52, 56, 26, 68, -28, 93]
  Compare 68 and -28
  Swap 68 and -28
  List after swap: [-37, 52, 56, 26, -28, 68, 93]

Pass 3:
  Compare -37 and 52
  No swap needed
  Compare 52 and 56
  No swap needed
  Compare 56 and 26
  Swap 56 and 26
  List after swap: [-37, 52, 26, 56, -28, 68, 93]
  Compare 56 and -28
  Swap 56 and -28
  List after swap: [-37, 52, 26, -28, 56, 68, 93]

Pass 4:
  Compare -37 and 52
  No swap needed
  Compare 52 and 26
  Swap 52 and 26
  List after swap: [-37, 26, 52, -28, 56, 68, 93]
  Compare 52 and -28
  Swap 52 and -28
  List after swap: [-37, 26, -28, 52, 56, 68, 93]

Pass 5:
  Compare -37 and 26
  No swap needed
  Compare 26 and -28
  Swap 26 and -28
  List after swap: [-37, -28, 26, 52, 56, 68, 93]

Pass 6:
  Compare -37 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-37, -28, 26, 52, 56, 68, 93]
</think>

<response>-37, -28, 26, 52, 56, 68, 93</response>


input: Implement bubble sort on 41, -78, -7, -72, -10, -32 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [41, -78, -7, -72, -10, -32]

Pass 1:
  Compare 41 and -78
  Swap 41 and -78
  List after swap: [-78, 41, -7, -72, -10, -32]
  Compare 41 and -7
  Swap 41 and -7
  List after swap: [-78, -7, 41, -72, -10, -32]
  Compare 41 and -72
  Swap 41 and -72
  List after swap: [-78, -7, -72, 41, -10, -32]
  Compare 41 and -10
  Swap 41 and -10
  List after swap: [-78, -7, -72, -10, 41, -32]
  Compare 41 and -32
  Swap 41 and -32
  List after swap: [-78, -7, -72, -10, -32, 41]

Pass 2:
  Compare -78 and -7
  No swap needed
  Compare -7 and -72
  Swap -7 and -72
  List after swap: [-78, -72, -7, -10, -32, 41]
  Compare -7 and -10
  Swap -7 and -10
  List after swap: [-78, -72, -10, -7, -32, 41]
  Compare -7 and -32
  Swap -7 and -32
  List after swap: [-78, -72, -10, -32, -7, 41]

Pass 3:
  Compare -78 and -72
  No swap needed
  Compare -72 and -10
  No swap needed
  Compare -10 and -32
  Swap -10 and -32
  List after swap: [-78, -72, -32, -10, -7, 41]

Pass 4:
  Compare -78 and -72
  No swap needed
  Compare -72 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -72, -32, -10, -7, 41]
</think>

<response>-78, -72, -32, -10, -7, 41</response>


input: Sort the list -48, -25, -84, 33, 45, 5, -87, -20, 13, 53 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-48, -25, -84, 33, 45, 5, -87, -20, 13, 53]

Pass 1:
  Compare -48 and -25
  No swap needed
  Compare -25 and -84
  Swap -25 and -84
  List after swap: [-48, -84, -25, 33, 45, 5, -87, -20, 13, 53]
  Compare -25 and 33
  No swap needed
  Compare 33 and 45
  No swap needed
  Compare 45 and 5
  Swap 45 and 5
  List after swap: [-48, -84, -25, 33, 5, 45, -87, -20, 13, 53]
  Compare 45 and -87
  Swap 45 and -87
  List after swap: [-48, -84, -25, 33, 5, -87, 45, -20, 13, 53]
  Compare 45 and -20
  Swap 45 and -20
  List after swap: [-48, -84, -25, 33, 5, -87, -20, 45, 13, 53]
  Compare 45 and 13
  Swap 45 and 13
  List after swap: [-48, -84, -25, 33, 5, -87, -20, 13, 45, 53]
  Compare 45 and 53
  No swap needed

Pass 2:
  Compare -48 and -84
  Swap -48 and -84
  List after swap: [-84, -48, -25, 33, 5, -87, -20, 13, 45, 53]
  Compare -48 and -25
  No swap needed
  Compare -25 and 33
  No swap needed
  Compare 33 and 5
  Swap 33 and 5
  List after swap: [-84, -48, -25, 5, 33, -87, -20, 13, 45, 53]
  Compare 33 and -87
  Swap 33 and -87
  List after swap: [-84, -48, -25, 5, -87, 33, -20, 13, 45, 53]
  Compare 33 and -20
  Swap 33 and -20
  List after swap: [-84, -48, -25, 5, -87, -20, 33, 13, 45, 53]
  Compare 33 and 13
  Swap 33 and 13
  List after swap: [-84, -48, -25, 5, -87, -20, 13, 33, 45, 53]
  Compare 33 and 45
  No swap needed

Pass 3:
  Compare -84 and -48
  No swap needed
  Compare -48 and -25
  No swap needed
  Compare -25 and 5
  No swap needed
  Compare 5 and -87
  Swap 5 and -87
  List after swap: [-84, -48, -25, -87, 5, -20, 13, 33, 45, 53]
  Compare 5 and -20
  Swap 5 and -20
  List after swap: [-84, -48, -25, -87, -20, 5, 13, 33, 45, 53]
  Compare 5 and 13
  No swap needed
  Compare 13 and 33
  No swap needed

Pass 4:
  Compare -84 and -48
  No swap needed
  Compare -48 and -25
  No swap needed
  Compare -25 and -87
  Swap -25 and -87
  List after swap: [-84, -48, -87, -25, -20, 5, 13, 33, 45, 53]
  Compare -25 and -20
  No swap needed
  Compare -20 and 5
  No swap needed
  Compare 5 and 13
  No swap needed

Pass 5:
  Compare -84 and -48
  No swap needed
  Compare -48 and -87
  Swap -48 and -87
  List after swap: [-84, -87, -48, -25, -20, 5, 13, 33, 45, 53]
  Compare -48 and -25
  No swap needed
  Compare -25 and -20
  No swap needed
  Compare -20 and 5
  No swap needed

Pass 6:
  Compare -84 and -87
  Swap -84 and -87
  List after swap: [-87, -84, -48, -25, -20, 5, 13, 33, 45, 53]
  Compare -84 and -48
  No swap needed
  Compare -48 and -25
  No swap needed
  Compare -25 and -20
  No swap needed

Pass 7:
  Compare -87 and -84
  No swap needed
  Compare -84 and -48
  No swap needed
  Compare -48 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -84, -48, -25, -20, 5, 13, 33, 45, 53]
</think>

<response>-87, -84, -48, -25, -20, 5, 13, 33, 45, 53</response>


input: Carry out the bubble sort algorithm on 38, -63, 92, -51, -27, -70 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [38, -63, 92, -51, -27, -70]

Pass 1:
  Compare 38 and -63
  Swap 38 and -63
  List after swap: [-63, 38, 92, -51, -27, -70]
  Compare 38 and 92
  No swap needed
  Compare 92 and -51
  Swap 92 and -51
  List after swap: [-63, 38, -51, 92, -27, -70]
  Compare 92 and -27
  Swap 92 and -27
  List after swap: [-63, 38, -51, -27, 92, -70]
  Compare 92 and -70
  Swap 92 and -70
  List after swap: [-63, 38, -51, -27, -70, 92]

Pass 2:
  Compare -63 and 38
  No swap needed
  Compare 38 and -51
  Swap 38 and -51
  List after swap: [-63, -51, 38, -27, -70, 92]
  Compare 38 and -27
  Swap 38 and -27
  List after swap: [-63, -51, -27, 38, -70, 92]
  Compare 38 and -70
  Swap 38 and -70
  List after swap: [-63, -51, -27, -70, 38, 92]

Pass 3:
  Compare -63 and -51
  No swap needed
  Compare -51 and -27
  No swap needed
  Compare -27 and -70
  Swap -27 and -70
  List after swap: [-63, -51, -70, -27, 38, 92]

Pass 4:
  Compare -63 and -51
  No swap needed
  Compare -51 and -70
  Swap -51 and -70
  List after swap: [-63, -70, -51, -27, 38, 92]

Pass 5:
  Compare -63 and -70
  Swap -63 and -70
  List after swap: [-70, -63, -51, -27, 38, 92]

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

Final sorted list: [-70, -63, -51, -27, 38, 92]
</think>

<response>-70, -63, -51, -27, 38, 92</response>


input: Execute bubble sort to sort 67, 84, 41 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [67, 84, 41]

Pass 1:
  Compare 67 and 84
  No swap needed
  Compare 84 and 41
  Swap 84 and 41
  List after swap: [67, 41, 84]

Pass 2:
  Compare 67 and 41
  Swap 67 and 41
  List after swap: [41, 67, 84]

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

Final sorted list: [41, 67, 84]
</think>

<response>41, 67, 84</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 99, -55, 53, 3, -13, -16, 84.

output:
<think>
Initial list: [99, -55, 53, 3, -13, -16, 84]

Pass 1:
  Compare 99 and -55
  Swap 99 and -55
  List after swap: [-55, 99, 53, 3, -13, -16, 84]
  Compare 99 and 53
  Swap 99 and 53
  List after swap: [-55, 53, 99, 3, -13, -16, 84]
  Compare 99 and 3
  Swap 99 and 3
  List after swap: [-55, 53, 3, 99, -13, -16, 84]
  Compare 99 and -13
  Swap 99 and -13
  List after swap: [-55, 53, 3, -13, 99, -16, 84]
  Compare 99 and -16
  Swap 99 and -16
  List after swap: [-55, 53, 3, -13, -16, 99, 84]
  Compare 99 and 84
  Swap 99 and 84
  List after swap: [-55, 53, 3, -13, -16, 84, 99]

Pass 2:
  Compare -55 and 53
  No swap needed
  Compare 53 and 3
  Swap 53 and 3
  List after swap: [-55, 3, 53, -13, -16, 84, 99]
  Compare 53 and -13
  Swap 53 and -13
  List after swap: [-55, 3, -13, 53, -16, 84, 99]
  Compare 53 and -16
  Swap 53 and -16
  List after swap: [-55, 3, -13, -16, 53, 84, 99]
  Compare 53 and 84
  No swap needed

Pass 3:
  Compare -55 and 3
  No swap needed
  Compare 3 and -13
  Swap 3 and -13
  List after swap: [-55, -13, 3, -16, 53, 84, 99]
  Compare 3 and -16
  Swap 3 and -16
  List after swap: [-55, -13, -16, 3, 53, 84, 99]
  Compare 3 and 53
  No swap needed

Pass 4:
  Compare -55 and -13
  No swap needed
  Compare -13 and -16
  Swap -13 and -16
  List after swap: [-55, -16, -13, 3, 53, 84, 99]
  Compare -13 and 3
  No swap needed

Pass 5:
  Compare -55 and -16
  No swap needed
  Compare -16 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, -16, -13, 3, 53, 84, 99]
</think>

<response>-55, -16, -13, 3, 53, 84, 99</response>


input: Sort these integers 26, -22, 38, -66, 41, 85, -47, -60 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [26, -22, 38, -66, 41, 85, -47, -60]

Pass 1:
  Compare 26 and -22
  Swap 26 and -22
  List after swap: [-22, 26, 38, -66, 41, 85, -47, -60]
  Compare 26 and 38
  No swap needed
  Compare 38 and -66
  Swap 38 and -66
  List after swap: [-22, 26, -66, 38, 41, 85, -47, -60]
  Compare 38 and 41
  No swap needed
  Compare 41 and 85
  No swap needed
  Compare 85 and -47
  Swap 85 and -47
  List after swap: [-22, 26, -66, 38, 41, -47, 85, -60]
  Compare 85 and -60
  Swap 85 and -60
  List after swap: [-22, 26, -66, 38, 41, -47, -60, 85]

Pass 2:
  Compare -22 and 26
  No swap needed
  Compare 26 and -66
  Swap 26 and -66
  List after swap: [-22, -66, 26, 38, 41, -47, -60, 85]
  Compare 26 and 38
  No swap needed
  Compare 38 and 41
  No swap needed
  Compare 41 and -47
  Swap 41 and -47
  List after swap: [-22, -66, 26, 38, -47, 41, -60, 85]
  Compare 41 and -60
  Swap 41 and -60
  List after swap: [-22, -66, 26, 38, -47, -60, 41, 85]

Pass 3:
  Compare -22 and -66
  Swap -22 and -66
  List after swap: [-66, -22, 26, 38, -47, -60, 41, 85]
  Compare -22 and 26
  No swap needed
  Compare 26 and 38
  No swap needed
  Compare 38 and -47
  Swap 38 and -47
  List after swap: [-66, -22, 26, -47, 38, -60, 41, 85]
  Compare 38 and -60
  Swap 38 and -60
  List after swap: [-66, -22, 26, -47, -60, 38, 41, 85]

Pass 4:
  Compare -66 and -22
  No swap needed
  Compare -22 and 26
  No swap needed
  Compare 26 and -47
  Swap 26 and -47
  List after swap: [-66, -22, -47, 26, -60, 38, 41, 85]
  Compare 26 and -60
  Swap 26 and -60
  List after swap: [-66, -22, -47, -60, 26, 38, 41, 85]

Pass 5:
  Compare -66 and -22
  No swap needed
  Compare -22 and -47
  Swap -22 and -47
  List after swap: [-66, -47, -22, -60, 26, 38, 41, 85]
  Compare -22 and -60
  Swap -22 and -60
  List after swap: [-66, -47, -60, -22, 26, 38, 41, 85]

Pass 6:
  Compare -66 and -47
  No swap needed
  Compare -47 and -60
  Swap -47 and -60
  List after swap: [-66, -60, -47, -22, 26, 38, 41, 85]

Pass 7:
  Compare -66 and -60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -60, -47, -22, 26, 38, 41, 85]
</think>

<response>-66, -60, -47, -22, 26, 38, 41, 85</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -32, -90.

output:
<think>
Initial list: [-32, -90]

Pass 1:
  Compare -32 and -90
  Swap -32 and -90
  List after swap: [-90, -32]

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

Final sorted list: [-90, -32]
</think>

<response>-90, -32</response>


input: Demonstrate how bubble sort orders the integers 53, -66, -19, -81, 10, 13, -12 in ascending sequence, showing all steps.

output:
<think>
Initial list: [53, -66, -19, -81, 10, 13, -12]

Pass 1:
  Compare 53 and -66
  Swap 53 and -66
  List after swap: [-66, 53, -19, -81, 10, 13, -12]
  Compare 53 and -19
  Swap 53 and -19
  List after swap: [-66, -19, 53, -81, 10, 13, -12]
  Compare 53 and -81
  Swap 53 and -81
  List after swap: [-66, -19, -81, 53, 10, 13, -12]
  Compare 53 and 10
  Swap 53 and 10
  List after swap: [-66, -19, -81, 10, 53, 13, -12]
  Compare 53 and 13
  Swap 53 and 13
  List after swap: [-66, -19, -81, 10, 13, 53, -12]
  Compare 53 and -12
  Swap 53 and -12
  List after swap: [-66, -19, -81, 10, 13, -12, 53]

Pass 2:
  Compare -66 and -19
  No swap needed
  Compare -19 and -81
  Swap -19 and -81
  List after swap: [-66, -81, -19, 10, 13, -12, 53]
  Compare -19 and 10
  No swap needed
  Compare 10 and 13
  No swap needed
  Compare 13 and -12
  Swap 13 and -12
  List after swap: [-66, -81, -19, 10, -12, 13, 53]

Pass 3:
  Compare -66 and -81
  Swap -66 and -81
  List after swap: [-81, -66, -19, 10, -12, 13, 53]
  Compare -66 and -19
  No swap needed
  Compare -19 and 10
  No swap needed
  Compare 10 and -12
  Swap 10 and -12
  List after swap: [-81, -66, -19, -12, 10, 13, 53]

Pass 4:
  Compare -81 and -66
  No swap needed
  Compare -66 and -19
  No swap needed
  Compare -19 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -66, -19, -12, 10, 13, 53]
</think>

<response>-81, -66, -19, -12, 10, 13, 53</response>


input: Sort these integers 81, 28, 98, 53, 52, 29, -43, 80 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [81, 28, 98, 53, 52, 29, -43, 80]

Pass 1:
  Compare 81 and 28
  Swap 81 and 28
  List after swap: [28, 81, 98, 53, 52, 29, -43, 80]
  Compare 81 and 98
  No swap needed
  Compare 98 and 53
  Swap 98 and 53
  List after swap: [28, 81, 53, 98, 52, 29, -43, 80]
  Compare 98 and 52
  Swap 98 and 52
  List after swap: [28, 81, 53, 52, 98, 29, -43, 80]
  Compare 98 and 29
  Swap 98 and 29
  List after swap: [28, 81, 53, 52, 29, 98, -43, 80]
  Compare 98 and -43
  Swap 98 and -43
  List after swap: [28, 81, 53, 52, 29, -43, 98, 80]
  Compare 98 and 80
  Swap 98 and 80
  List after swap: [28, 81, 53, 52, 29, -43, 80, 98]

Pass 2:
  Compare 28 and 81
  No swap needed
  Compare 81 and 53
  Swap 81 and 53
  List after swap: [28, 53, 81, 52, 29, -43, 80, 98]
  Compare 81 and 52
  Swap 81 and 52
  List after swap: [28, 53, 52, 81, 29, -43, 80, 98]
  Compare 81 and 29
  Swap 81 and 29
  List after swap: [28, 53, 52, 29, 81, -43, 80, 98]
  Compare 81 and -43
  Swap 81 and -43
  List after swap: [28, 53, 52, 29, -43, 81, 80, 98]
  Compare 81 and 80
  Swap 81 and 80
  List after swap: [28, 53, 52, 29, -43, 80, 81, 98]

Pass 3:
  Compare 28 and 53
  No swap needed
  Compare 53 and 52
  Swap 53 and 52
  List after swap: [28, 52, 53, 29, -43, 80, 81, 98]
  Compare 53 and 29
  Swap 53 and 29
  List after swap: [28, 52, 29, 53, -43, 80, 81, 98]
  Compare 53 and -43
  Swap 53 and -43
  List after swap: [28, 52, 29, -43, 53, 80, 81, 98]
  Compare 53 and 80
  No swap needed

Pass 4:
  Compare 28 and 52
  No swap needed
  Compare 52 and 29
  Swap 52 and 29
  List after swap: [28, 29, 52, -43, 53, 80, 81, 98]
  Compare 52 and -43
  Swap 52 and -43
  List after swap: [28, 29, -43, 52, 53, 80, 81, 98]
  Compare 52 and 53
  No swap needed

Pass 5:
  Compare 28 and 29
  No swap needed
  Compare 29 and -43
  Swap 29 and -43
  List after swap: [28, -43, 29, 52, 53, 80, 81, 98]
  Compare 29 and 52
  No swap needed

Pass 6:
  Compare 28 and -43
  Swap 28 and -43
  List after swap: [-43, 28, 29, 52, 53, 80, 81, 98]
  Compare 28 and 29
  No swap needed

Pass 7:
  Compare -43 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-43, 28, 29, 52, 53, 80, 81, 98]
</think>

<response>-43, 28, 29, 52, 53, 80, 81, 98</response>


input: Sort these integers 21, 13, -60, -38, 23, 95, 12, -78, -19 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [21, 13, -60, -38, 23, 95, 12, -78, -19]

Pass 1:
  Compare 21 and 13
  Swap 21 and 13
  List after swap: [13, 21, -60, -38, 23, 95, 12, -78, -19]
  Compare 21 and -60
  Swap 21 and -60
  List after swap: [13, -60, 21, -38, 23, 95, 12, -78, -19]
  Compare 21 and -38
  Swap 21 and -38
  List after swap: [13, -60, -38, 21, 23, 95, 12, -78, -19]
  Compare 21 and 23
  No swap needed
  Compare 23 and 95
  No swap needed
  Compare 95 and 12
  Swap 95 and 12
  List after swap: [13, -60, -38, 21, 23, 12, 95, -78, -19]
  Compare 95 and -78
  Swap 95 and -78
  List after swap: [13, -60, -38, 21, 23, 12, -78, 95, -19]
  Compare 95 and -19
  Swap 95 and -19
  List after swap: [13, -60, -38, 21, 23, 12, -78, -19, 95]

Pass 2:
  Compare 13 and -60
  Swap 13 and -60
  List after swap: [-60, 13, -38, 21, 23, 12, -78, -19, 95]
  Compare 13 and -38
  Swap 13 and -38
  List after swap: [-60, -38, 13, 21, 23, 12, -78, -19, 95]
  Compare 13 and 21
  No swap needed
  Compare 21 and 23
  No swap needed
  Compare 23 and 12
  Swap 23 and 12
  List after swap: [-60, -38, 13, 21, 12, 23, -78, -19, 95]
  Compare 23 and -78
  Swap 23 and -78
  List after swap: [-60, -38, 13, 21, 12, -78, 23, -19, 95]
  Compare 23 and -19
  Swap 23 and -19
  List after swap: [-60, -38, 13, 21, 12, -78, -19, 23, 95]

Pass 3:
  Compare -60 and -38
  No swap needed
  Compare -38 and 13
  No swap needed
  Compare 13 and 21
  No swap needed
  Compare 21 and 12
  Swap 21 and 12
  List after swap: [-60, -38, 13, 12, 21, -78, -19, 23, 95]
  Compare 21 and -78
  Swap 21 and -78
  List after swap: [-60, -38, 13, 12, -78, 21, -19, 23, 95]
  Compare 21 and -19
  Swap 21 and -19
  List after swap: [-60, -38, 13, 12, -78, -19, 21, 23, 95]

Pass 4:
  Compare -60 and -38
  No swap needed
  Compare -38 and 13
  No swap needed
  Compare 13 and 12
  Swap 13 and 12
  List after swap: [-60, -38, 12, 13, -78, -19, 21, 23, 95]
  Compare 13 and -78
  Swap 13 and -78
  List after swap: [-60, -38, 12, -78, 13, -19, 21, 23, 95]
  Compare 13 and -19
  Swap 13 and -19
  List after swap: [-60, -38, 12, -78, -19, 13, 21, 23, 95]

Pass 5:
  Compare -60 and -38
  No swap needed
  Compare -38 and 12
  No swap needed
  Compare 12 and -78
  Swap 12 and -78
  List after swap: [-60, -38, -78, 12, -19, 13, 21, 23, 95]
  Compare 12 and -19
  Swap 12 and -19
  List after swap: [-60, -38, -78, -19, 12, 13, 21, 23, 95]

Pass 6:
  Compare -60 and -38
  No swap needed
  Compare -38 and -78
  Swap -38 and -78
  List after swap: [-60, -78, -38, -19, 12, 13, 21, 23, 95]
  Compare -38 and -19
  No swap needed

Pass 7:
  Compare -60 and -78
  Swap -60 and -78
  List after swap: [-78, -60, -38, -19, 12, 13, 21, 23, 95]
  Compare -60 and -38
  No swap needed

Pass 8:
  Compare -78 and -60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -60, -38, -19, 12, 13, 21, 23, 95]
</think>

<response>-78, -60, -38, -19, 12, 13, 21, 23, 95</response>


input: Demonstrate how bubble sort orders the integers -6, 80, -8, -78, 22, 12, 76, 41, 25, 1 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-6, 80, -8, -78, 22, 12, 76, 41, 25, 1]

Pass 1:
  Compare -6 and 80
  No swap needed
  Compare 80 and -8
  Swap 80 and -8
  List after swap: [-6, -8, 80, -78, 22, 12, 76, 41, 25, 1]
  Compare 80 and -78
  Swap 80 and -78
  List after swap: [-6, -8, -78, 80, 22, 12, 76, 41, 25, 1]
  Compare 80 and 22
  Swap 80 and 22
  List after swap: [-6, -8, -78, 22, 80, 12, 76, 41, 25, 1]
  Compare 80 and 12
  Swap 80 and 12
  List after swap: [-6, -8, -78, 22, 12, 80, 76, 41, 25, 1]
  Compare 80 and 76
  Swap 80 and 76
  List after swap: [-6, -8, -78, 22, 12, 76, 80, 41, 25, 1]
  Compare 80 and 41
  Swap 80 and 41
  List after swap: [-6, -8, -78, 22, 12, 76, 41, 80, 25, 1]
  Compare 80 and 25
  Swap 80 and 25
  List after swap: [-6, -8, -78, 22, 12, 76, 41, 25, 80, 1]
  Compare 80 and 1
  Swap 80 and 1
  List after swap: [-6, -8, -78, 22, 12, 76, 41, 25, 1, 80]

Pass 2:
  Compare -6 and -8
  Swap -6 and -8
  List after swap: [-8, -6, -78, 22, 12, 76, 41, 25, 1, 80]
  Compare -6 and -78
  Swap -6 and -78
  List after swap: [-8, -78, -6, 22, 12, 76, 41, 25, 1, 80]
  Compare -6 and 22
  No swap needed
  Compare 22 and 12
  Swap 22 and 12
  List after swap: [-8, -78, -6, 12, 22, 76, 41, 25, 1, 80]
  Compare 22 and 76
  No swap needed
  Compare 76 and 41
  Swap 76 and 41
  List after swap: [-8, -78, -6, 12, 22, 41, 76, 25, 1, 80]
  Compare 76 and 25
  Swap 76 and 25
  List after swap: [-8, -78, -6, 12, 22, 41, 25, 76, 1, 80]
  Compare 76 and 1
  Swap 76 and 1
  List after swap: [-8, -78, -6, 12, 22, 41, 25, 1, 76, 80]

Pass 3:
  Compare -8 and -78
  Swap -8 and -78
  List after swap: [-78, -8, -6, 12, 22, 41, 25, 1, 76, 80]
  Compare -8 and -6
  No swap needed
  Compare -6 and 12
  No swap needed
  Compare 12 and 22
  No swap needed
  Compare 22 and 41
  No swap needed
  Compare 41 and 25
  Swap 41 and 25
  List after swap: [-78, -8, -6, 12, 22, 25, 41, 1, 76, 80]
  Compare 41 and 1
  Swap 41 and 1
  List after swap: [-78, -8, -6, 12, 22, 25, 1, 41, 76, 80]

Pass 4:
  Compare -78 and -8
  No swap needed
  Compare -8 and -6
  No swap needed
  Compare -6 and 12
  No swap needed
  Compare 12 and 22
  No swap needed
  Compare 22 and 25
  No swap needed
  Compare 25 and 1
  Swap 25 and 1
  List after swap: [-78, -8, -6, 12, 22, 1, 25, 41, 76, 80]

Pass 5:
  Compare -78 and -8
  No swap needed
  Compare -8 and -6
  No swap needed
  Compare -6 and 12
  No swap needed
  Compare 12 and 22
  No swap needed
  Compare 22 and 1
  Swap 22 and 1
  List after swap: [-78, -8, -6, 12, 1, 22, 25, 41, 76, 80]

Pass 6:
  Compare -78 and -8
  No swap needed
  Compare -8 and -6
  No swap needed
  Compare -6 and 12
  No swap needed
  Compare 12 and 1
  Swap 12 and 1
  List after swap: [-78, -8, -6, 1, 12, 22, 25, 41, 76, 80]

Pass 7:
  Compare -78 and -8
  No swap needed
  Compare -8 and -6
  No swap needed
  Compare -6 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -8, -6, 1, 12, 22, 25, 41, 76, 80]
</think>

<response>-78, -8, -6, 1, 12, 22, 25, 41, 76, 80</response>


input: Implement bubble sort on 80, -40, 59, -78 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [80, -40, 59, -78]

Pass 1:
  Compare 80 and -40
  Swap 80 and -40
  List after swap: [-40, 80, 59, -78]
  Compare 80 and 59
  Swap 80 and 59
  List after swap: [-40, 59, 80, -78]
  Compare 80 and -78
  Swap 80 and -78
  List after swap: [-40, 59, -78, 80]

Pass 2:
  Compare -40 and 59
  No swap needed
  Compare 59 and -78
  Swap 59 and -78
  List after swap: [-40, -78, 59, 80]

Pass 3:
  Compare -40 and -78
  Swap -40 and -78
  List after swap: [-78, -40, 59, 80]

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

Final sorted list: [-78, -40, 59, 80]
</think>

<response>-78, -40, 59, 80</response>


input: Carry out the bubble sort algorithm on 9, 74, 95, 57, -25, 0 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [9, 74, 95, 57, -25, 0]

Pass 1:
  Compare 9 and 74
  No swap needed
  Compare 74 and 95
  No swap needed
  Compare 95 and 57
  Swap 95 and 57
  List after swap: [9, 74, 57, 95, -25, 0]
  Compare 95 and -25
  Swap 95 and -25
  List after swap: [9, 74, 57, -25, 95, 0]
  Compare 95 and 0
  Swap 95 and 0
  List after swap: [9, 74, 57, -25, 0, 95]

Pass 2:
  Compare 9 and 74
  No swap needed
  Compare 74 and 57
  Swap 74 and 57
  List after swap: [9, 57, 74, -25, 0, 95]
  Compare 74 and -25
  Swap 74 and -25
  List after swap: [9, 57, -25, 74, 0, 95]
  Compare 74 and 0
  Swap 74 and 0
  List after swap: [9, 57, -25, 0, 74, 95]

Pass 3:
  Compare 9 and 57
  No swap needed
  Compare 57 and -25
  Swap 57 and -25
  List after swap: [9, -25, 57, 0, 74, 95]
  Compare 57 and 0
  Swap 57 and 0
  List after swap: [9, -25, 0, 57, 74, 95]

Pass 4:
  Compare 9 and -25
  Swap 9 and -25
  List after swap: [-25, 9, 0, 57, 74, 95]
  Compare 9 and 0
  Swap 9 and 0
  List after swap: [-25, 0, 9, 57, 74, 95]

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

Final sorted list: [-25, 0, 9, 57, 74, 95]
</think>

<response>-25, 0, 9, 57, 74, 95</response>


input: Carry out the bubble sort algorithm on -96, 26 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-96, 26]

Pass 1:
  Compare -96 and 26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, 26]
</think>

<response>-96, 26</response>