input: Use the bubble sort technique to reorder 62, 29, 57, 19, 76, 28, -2, 56, 45 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [62, 29, 57, 19, 76, 28, -2, 56, 45]

Pass 1:
  Compare 62 and 29
  Swap 62 and 29
  List after swap: [29, 62, 57, 19, 76, 28, -2, 56, 45]
  Compare 62 and 57
  Swap 62 and 57
  List after swap: [29, 57, 62, 19, 76, 28, -2, 56, 45]
  Compare 62 and 19
  Swap 62 and 19
  List after swap: [29, 57, 19, 62, 76, 28, -2, 56, 45]
  Compare 62 and 76
  No swap needed
  Compare 76 and 28
  Swap 76 and 28
  List after swap: [29, 57, 19, 62, 28, 76, -2, 56, 45]
  Compare 76 and -2
  Swap 76 and -2
  List after swap: [29, 57, 19, 62, 28, -2, 76, 56, 45]
  Compare 76 and 56
  Swap 76 and 56
  List after swap: [29, 57, 19, 62, 28, -2, 56, 76, 45]
  Compare 76 and 45
  Swap 76 and 45
  List after swap: [29, 57, 19, 62, 28, -2, 56, 45, 76]

Pass 2:
  Compare 29 and 57
  No swap needed
  Compare 57 and 19
  Swap 57 and 19
  List after swap: [29, 19, 57, 62, 28, -2, 56, 45, 76]
  Compare 57 and 62
  No swap needed
  Compare 62 and 28
  Swap 62 and 28
  List after swap: [29, 19, 57, 28, 62, -2, 56, 45, 76]
  Compare 62 and -2
  Swap 62 and -2
  List after swap: [29, 19, 57, 28, -2, 62, 56, 45, 76]
  Compare 62 and 56
  Swap 62 and 56
  List after swap: [29, 19, 57, 28, -2, 56, 62, 45, 76]
  Compare 62 and 45
  Swap 62 and 45
  List after swap: [29, 19, 57, 28, -2, 56, 45, 62, 76]

Pass 3:
  Compare 29 and 19
  Swap 29 and 19
  List after swap: [19, 29, 57, 28, -2, 56, 45, 62, 76]
  Compare 29 and 57
  No swap needed
  Compare 57 and 28
  Swap 57 and 28
  List after swap: [19, 29, 28, 57, -2, 56, 45, 62, 76]
  Compare 57 and -2
  Swap 57 and -2
  List after swap: [19, 29, 28, -2, 57, 56, 45, 62, 76]
  Compare 57 and 56
  Swap 57 and 56
  List after swap: [19, 29, 28, -2, 56, 57, 45, 62, 76]
  Compare 57 and 45
  Swap 57 and 45
  List after swap: [19, 29, 28, -2, 56, 45, 57, 62, 76]

Pass 4:
  Compare 19 and 29
  No swap needed
  Compare 29 and 28
  Swap 29 and 28
  List after swap: [19, 28, 29, -2, 56, 45, 57, 62, 76]
  Compare 29 and -2
  Swap 29 and -2
  List after swap: [19, 28, -2, 29, 56, 45, 57, 62, 76]
  Compare 29 and 56
  No swap needed
  Compare 56 and 45
  Swap 56 and 45
  List after swap: [19, 28, -2, 29, 45, 56, 57, 62, 76]

Pass 5:
  Compare 19 and 28
  No swap needed
  Compare 28 and -2
  Swap 28 and -2
  List after swap: [19, -2, 28, 29, 45, 56, 57, 62, 76]
  Compare 28 and 29
  No swap needed
  Compare 29 and 45
  No swap needed

Pass 6:
  Compare 19 and -2
  Swap 19 and -2
  List after swap: [-2, 19, 28, 29, 45, 56, 57, 62, 76]
  Compare 19 and 28
  No swap needed
  Compare 28 and 29
  No swap needed

Pass 7:
  Compare -2 and 19
  No swap needed
  Compare 19 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-2, 19, 28, 29, 45, 56, 57, 62, 76]
</think>

<response>-2, 19, 28, 29, 45, 56, 57, 62, 76</response>


input: Implement bubble sort on -38, 98 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-38, 98]

Pass 1:
  Compare -38 and 98
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-38, 98]
</think>

<response>-38, 98</response>


input: Carry out the bubble sort algorithm on -86, 64, -11, 10, -71, -23, -60, -8, 31 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-86, 64, -11, 10, -71, -23, -60, -8, 31]

Pass 1:
  Compare -86 and 64
  No swap needed
  Compare 64 and -11
  Swap 64 and -11
  List after swap: [-86, -11, 64, 10, -71, -23, -60, -8, 31]
  Compare 64 and 10
  Swap 64 and 10
  List after swap: [-86, -11, 10, 64, -71, -23, -60, -8, 31]
  Compare 64 and -71
  Swap 64 and -71
  List after swap: [-86, -11, 10, -71, 64, -23, -60, -8, 31]
  Compare 64 and -23
  Swap 64 and -23
  List after swap: [-86, -11, 10, -71, -23, 64, -60, -8, 31]
  Compare 64 and -60
  Swap 64 and -60
  List after swap: [-86, -11, 10, -71, -23, -60, 64, -8, 31]
  Compare 64 and -8
  Swap 64 and -8
  List after swap: [-86, -11, 10, -71, -23, -60, -8, 64, 31]
  Compare 64 and 31
  Swap 64 and 31
  List after swap: [-86, -11, 10, -71, -23, -60, -8, 31, 64]

Pass 2:
  Compare -86 and -11
  No swap needed
  Compare -11 and 10
  No swap needed
  Compare 10 and -71
  Swap 10 and -71
  List after swap: [-86, -11, -71, 10, -23, -60, -8, 31, 64]
  Compare 10 and -23
  Swap 10 and -23
  List after swap: [-86, -11, -71, -23, 10, -60, -8, 31, 64]
  Compare 10 and -60
  Swap 10 and -60
  List after swap: [-86, -11, -71, -23, -60, 10, -8, 31, 64]
  Compare 10 and -8
  Swap 10 and -8
  List after swap: [-86, -11, -71, -23, -60, -8, 10, 31, 64]
  Compare 10 and 31
  No swap needed

Pass 3:
  Compare -86 and -11
  No swap needed
  Compare -11 and -71
  Swap -11 and -71
  List after swap: [-86, -71, -11, -23, -60, -8, 10, 31, 64]
  Compare -11 and -23
  Swap -11 and -23
  List after swap: [-86, -71, -23, -11, -60, -8, 10, 31, 64]
  Compare -11 and -60
  Swap -11 and -60
  List after swap: [-86, -71, -23, -60, -11, -8, 10, 31, 64]
  Compare -11 and -8
  No swap needed
  Compare -8 and 10
  No swap needed

Pass 4:
  Compare -86 and -71
  No swap needed
  Compare -71 and -23
  No swap needed
  Compare -23 and -60
  Swap -23 and -60
  List after swap: [-86, -71, -60, -23, -11, -8, 10, 31, 64]
  Compare -23 and -11
  No swap needed
  Compare -11 and -8
  No swap needed

Pass 5:
  Compare -86 and -71
  No swap needed
  Compare -71 and -60
  No swap needed
  Compare -60 and -23
  No swap needed
  Compare -23 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -71, -60, -23, -11, -8, 10, 31, 64]
</think>

<response>-86, -71, -60, -23, -11, -8, 10, 31, 64</response>


input: Carry out the bubble sort algorithm on 6, 82, 19, 28, -93, -20, -31 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [6, 82, 19, 28, -93, -20, -31]

Pass 1:
  Compare 6 and 82
  No swap needed
  Compare 82 and 19
  Swap 82 and 19
  List after swap: [6, 19, 82, 28, -93, -20, -31]
  Compare 82 and 28
  Swap 82 and 28
  List after swap: [6, 19, 28, 82, -93, -20, -31]
  Compare 82 and -93
  Swap 82 and -93
  List after swap: [6, 19, 28, -93, 82, -20, -31]
  Compare 82 and -20
  Swap 82 and -20
  List after swap: [6, 19, 28, -93, -20, 82, -31]
  Compare 82 and -31
  Swap 82 and -31
  List after swap: [6, 19, 28, -93, -20, -31, 82]

Pass 2:
  Compare 6 and 19
  No swap needed
  Compare 19 and 28
  No swap needed
  Compare 28 and -93
  Swap 28 and -93
  List after swap: [6, 19, -93, 28, -20, -31, 82]
  Compare 28 and -20
  Swap 28 and -20
  List after swap: [6, 19, -93, -20, 28, -31, 82]
  Compare 28 and -31
  Swap 28 and -31
  List after swap: [6, 19, -93, -20, -31, 28, 82]

Pass 3:
  Compare 6 and 19
  No swap needed
  Compare 19 and -93
  Swap 19 and -93
  List after swap: [6, -93, 19, -20, -31, 28, 82]
  Compare 19 and -20
  Swap 19 and -20
  List after swap: [6, -93, -20, 19, -31, 28, 82]
  Compare 19 and -31
  Swap 19 and -31
  List after swap: [6, -93, -20, -31, 19, 28, 82]

Pass 4:
  Compare 6 and -93
  Swap 6 and -93
  List after swap: [-93, 6, -20, -31, 19, 28, 82]
  Compare 6 and -20
  Swap 6 and -20
  List after swap: [-93, -20, 6, -31, 19, 28, 82]
  Compare 6 and -31
  Swap 6 and -31
  List after swap: [-93, -20, -31, 6, 19, 28, 82]

Pass 5:
  Compare -93 and -20
  No swap needed
  Compare -20 and -31
  Swap -20 and -31
  List after swap: [-93, -31, -20, 6, 19, 28, 82]

Pass 6:
  Compare -93 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -31, -20, 6, 19, 28, 82]
</think>

<response>-93, -31, -20, 6, 19, 28, 82</response>


input: Perform a bubble sort on the integers -65, 35, -31, 61, 62, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-65, 35, -31, 61, 62]

Pass 1:
  Compare -65 and 35
  No swap needed
  Compare 35 and -31
  Swap 35 and -31
  List after swap: [-65, -31, 35, 61, 62]
  Compare 35 and 61
  No swap needed
  Compare 61 and 62
  No swap needed

Pass 2:
  Compare -65 and -31
  No swap needed
  Compare -31 and 35
  No swap needed
  Compare 35 and 61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -31, 35, 61, 62]
</think>

<response>-65, -31, 35, 61, 62</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 32, 4, 82, -61, 47.

output:
<think>
Initial list: [32, 4, 82, -61, 47]

Pass 1:
  Compare 32 and 4
  Swap 32 and 4
  List after swap: [4, 32, 82, -61, 47]
  Compare 32 and 82
  No swap needed
  Compare 82 and -61
  Swap 82 and -61
  List after swap: [4, 32, -61, 82, 47]
  Compare 82 and 47
  Swap 82 and 47
  List after swap: [4, 32, -61, 47, 82]

Pass 2:
  Compare 4 and 32
  No swap needed
  Compare 32 and -61
  Swap 32 and -61
  List after swap: [4, -61, 32, 47, 82]
  Compare 32 and 47
  No swap needed

Pass 3:
  Compare 4 and -61
  Swap 4 and -61
  List after swap: [-61, 4, 32, 47, 82]
  Compare 4 and 32
  No swap needed

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

Final sorted list: [-61, 4, 32, 47, 82]
</think>

<response>-61, 4, 32, 47, 82</response>


input: Use the bubble sort technique to reorder -73, -16, -83 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-73, -16, -83]

Pass 1:
  Compare -73 and -16
  No swap needed
  Compare -16 and -83
  Swap -16 and -83
  List after swap: [-73, -83, -16]

Pass 2:
  Compare -73 and -83
  Swap -73 and -83
  List after swap: [-83, -73, -16]

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

Final sorted list: [-83, -73, -16]
</think>

<response>-83, -73, -16</response>


input: Perform a bubble sort on the integers -82, 35, 70, 53, 36, 98, -84, -100, -79, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-82, 35, 70, 53, 36, 98, -84, -100, -79]

Pass 1:
  Compare -82 and 35
  No swap needed
  Compare 35 and 70
  No swap needed
  Compare 70 and 53
  Swap 70 and 53
  List after swap: [-82, 35, 53, 70, 36, 98, -84, -100, -79]
  Compare 70 and 36
  Swap 70 and 36
  List after swap: [-82, 35, 53, 36, 70, 98, -84, -100, -79]
  Compare 70 and 98
  No swap needed
  Compare 98 and -84
  Swap 98 and -84
  List after swap: [-82, 35, 53, 36, 70, -84, 98, -100, -79]
  Compare 98 and -100
  Swap 98 and -100
  List after swap: [-82, 35, 53, 36, 70, -84, -100, 98, -79]
  Compare 98 and -79
  Swap 98 and -79
  List after swap: [-82, 35, 53, 36, 70, -84, -100, -79, 98]

Pass 2:
  Compare -82 and 35
  No swap needed
  Compare 35 and 53
  No swap needed
  Compare 53 and 36
  Swap 53 and 36
  List after swap: [-82, 35, 36, 53, 70, -84, -100, -79, 98]
  Compare 53 and 70
  No swap needed
  Compare 70 and -84
  Swap 70 and -84
  List after swap: [-82, 35, 36, 53, -84, 70, -100, -79, 98]
  Compare 70 and -100
  Swap 70 and -100
  List after swap: [-82, 35, 36, 53, -84, -100, 70, -79, 98]
  Compare 70 and -79
  Swap 70 and -79
  List after swap: [-82, 35, 36, 53, -84, -100, -79, 70, 98]

Pass 3:
  Compare -82 and 35
  No swap needed
  Compare 35 and 36
  No swap needed
  Compare 36 and 53
  No swap needed
  Compare 53 and -84
  Swap 53 and -84
  List after swap: [-82, 35, 36, -84, 53, -100, -79, 70, 98]
  Compare 53 and -100
  Swap 53 and -100
  List after swap: [-82, 35, 36, -84, -100, 53, -79, 70, 98]
  Compare 53 and -79
  Swap 53 and -79
  List after swap: [-82, 35, 36, -84, -100, -79, 53, 70, 98]

Pass 4:
  Compare -82 and 35
  No swap needed
  Compare 35 and 36
  No swap needed
  Compare 36 and -84
  Swap 36 and -84
  List after swap: [-82, 35, -84, 36, -100, -79, 53, 70, 98]
  Compare 36 and -100
  Swap 36 and -100
  List after swap: [-82, 35, -84, -100, 36, -79, 53, 70, 98]
  Compare 36 and -79
  Swap 36 and -79
  List after swap: [-82, 35, -84, -100, -79, 36, 53, 70, 98]

Pass 5:
  Compare -82 and 35
  No swap needed
  Compare 35 and -84
  Swap 35 and -84
  List after swap: [-82, -84, 35, -100, -79, 36, 53, 70, 98]
  Compare 35 and -100
  Swap 35 and -100
  List after swap: [-82, -84, -100, 35, -79, 36, 53, 70, 98]
  Compare 35 and -79
  Swap 35 and -79
  List after swap: [-82, -84, -100, -79, 35, 36, 53, 70, 98]

Pass 6:
  Compare -82 and -84
  Swap -82 and -84
  List after swap: [-84, -82, -100, -79, 35, 36, 53, 70, 98]
  Compare -82 and -100
  Swap -82 and -100
  List after swap: [-84, -100, -82, -79, 35, 36, 53, 70, 98]
  Compare -82 and -79
  No swap needed

Pass 7:
  Compare -84 and -100
  Swap -84 and -100
  List after swap: [-100, -84, -82, -79, 35, 36, 53, 70, 98]
  Compare -84 and -82
  No swap needed

Pass 8:
  Compare -100 and -84
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -84, -82, -79, 35, 36, 53, 70, 98]
</think>

<response>-100, -84, -82, -79, 35, 36, 53, 70, 98</response>


input: Sort these integers -29, 46, 18, 94, 15 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-29, 46, 18, 94, 15]

Pass 1:
  Compare -29 and 46
  No swap needed
  Compare 46 and 18
  Swap 46 and 18
  List after swap: [-29, 18, 46, 94, 15]
  Compare 46 and 94
  No swap needed
  Compare 94 and 15
  Swap 94 and 15
  List after swap: [-29, 18, 46, 15, 94]

Pass 2:
  Compare -29 and 18
  No swap needed
  Compare 18 and 46
  No swap needed
  Compare 46 and 15
  Swap 46 and 15
  List after swap: [-29, 18, 15, 46, 94]

Pass 3:
  Compare -29 and 18
  No swap needed
  Compare 18 and 15
  Swap 18 and 15
  List after swap: [-29, 15, 18, 46, 94]

Pass 4:
  Compare -29 and 15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-29, 15, 18, 46, 94]
</think>

<response>-29, 15, 18, 46, 94</response>


input: Demonstrate how bubble sort orders the integers 18, -47, -40, -61, 0, -17 in ascending sequence, showing all steps.

output:
<think>
Initial list: [18, -47, -40, -61, 0, -17]

Pass 1:
  Compare 18 and -47
  Swap 18 and -47
  List after swap: [-47, 18, -40, -61, 0, -17]
  Compare 18 and -40
  Swap 18 and -40
  List after swap: [-47, -40, 18, -61, 0, -17]
  Compare 18 and -61
  Swap 18 and -61
  List after swap: [-47, -40, -61, 18, 0, -17]
  Compare 18 and 0
  Swap 18 and 0
  List after swap: [-47, -40, -61, 0, 18, -17]
  Compare 18 and -17
  Swap 18 and -17
  List after swap: [-47, -40, -61, 0, -17, 18]

Pass 2:
  Compare -47 and -40
  No swap needed
  Compare -40 and -61
  Swap -40 and -61
  List after swap: [-47, -61, -40, 0, -17, 18]
  Compare -40 and 0
  No swap needed
  Compare 0 and -17
  Swap 0 and -17
  List after swap: [-47, -61, -40, -17, 0, 18]

Pass 3:
  Compare -47 and -61
  Swap -47 and -61
  List after swap: [-61, -47, -40, -17, 0, 18]
  Compare -47 and -40
  No swap needed
  Compare -40 and -17
  No swap needed

Pass 4:
  Compare -61 and -47
  No swap needed
  Compare -47 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -47, -40, -17, 0, 18]
</think>

<response>-61, -47, -40, -17, 0, 18</response>


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

output:
<think>
Initial list: [21, -86]

Pass 1:
  Compare 21 and -86
  Swap 21 and -86
  List after swap: [-86, 21]

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

Final sorted list: [-86, 21]
</think>

<response>-86, 21</response>


input: Demonstrate how bubble sort orders the integers -20, 3, 86, -1, -91, 29, -80, -46, 22 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-20, 3, 86, -1, -91, 29, -80, -46, 22]

Pass 1:
  Compare -20 and 3
  No swap needed
  Compare 3 and 86
  No swap needed
  Compare 86 and -1
  Swap 86 and -1
  List after swap: [-20, 3, -1, 86, -91, 29, -80, -46, 22]
  Compare 86 and -91
  Swap 86 and -91
  List after swap: [-20, 3, -1, -91, 86, 29, -80, -46, 22]
  Compare 86 and 29
  Swap 86 and 29
  List after swap: [-20, 3, -1, -91, 29, 86, -80, -46, 22]
  Compare 86 and -80
  Swap 86 and -80
  List after swap: [-20, 3, -1, -91, 29, -80, 86, -46, 22]
  Compare 86 and -46
  Swap 86 and -46
  List after swap: [-20, 3, -1, -91, 29, -80, -46, 86, 22]
  Compare 86 and 22
  Swap 86 and 22
  List after swap: [-20, 3, -1, -91, 29, -80, -46, 22, 86]

Pass 2:
  Compare -20 and 3
  No swap needed
  Compare 3 and -1
  Swap 3 and -1
  List after swap: [-20, -1, 3, -91, 29, -80, -46, 22, 86]
  Compare 3 and -91
  Swap 3 and -91
  List after swap: [-20, -1, -91, 3, 29, -80, -46, 22, 86]
  Compare 3 and 29
  No swap needed
  Compare 29 and -80
  Swap 29 and -80
  List after swap: [-20, -1, -91, 3, -80, 29, -46, 22, 86]
  Compare 29 and -46
  Swap 29 and -46
  List after swap: [-20, -1, -91, 3, -80, -46, 29, 22, 86]
  Compare 29 and 22
  Swap 29 and 22
  List after swap: [-20, -1, -91, 3, -80, -46, 22, 29, 86]

Pass 3:
  Compare -20 and -1
  No swap needed
  Compare -1 and -91
  Swap -1 and -91
  List after swap: [-20, -91, -1, 3, -80, -46, 22, 29, 86]
  Compare -1 and 3
  No swap needed
  Compare 3 and -80
  Swap 3 and -80
  List after swap: [-20, -91, -1, -80, 3, -46, 22, 29, 86]
  Compare 3 and -46
  Swap 3 and -46
  List after swap: [-20, -91, -1, -80, -46, 3, 22, 29, 86]
  Compare 3 and 22
  No swap needed

Pass 4:
  Compare -20 and -91
  Swap -20 and -91
  List after swap: [-91, -20, -1, -80, -46, 3, 22, 29, 86]
  Compare -20 and -1
  No swap needed
  Compare -1 and -80
  Swap -1 and -80
  List after swap: [-91, -20, -80, -1, -46, 3, 22, 29, 86]
  Compare -1 and -46
  Swap -1 and -46
  List after swap: [-91, -20, -80, -46, -1, 3, 22, 29, 86]
  Compare -1 and 3
  No swap needed

Pass 5:
  Compare -91 and -20
  No swap needed
  Compare -20 and -80
  Swap -20 and -80
  List after swap: [-91, -80, -20, -46, -1, 3, 22, 29, 86]
  Compare -20 and -46
  Swap -20 and -46
  List after swap: [-91, -80, -46, -20, -1, 3, 22, 29, 86]
  Compare -20 and -1
  No swap needed

Pass 6:
  Compare -91 and -80
  No swap needed
  Compare -80 and -46
  No swap needed
  Compare -46 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -80, -46, -20, -1, 3, 22, 29, 86]
</think>

<response>-91, -80, -46, -20, -1, 3, 22, 29, 86</response>


input: Sort these integers 32, -56, 11, 82, -43, -73, 17 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [32, -56, 11, 82, -43, -73, 17]

Pass 1:
  Compare 32 and -56
  Swap 32 and -56
  List after swap: [-56, 32, 11, 82, -43, -73, 17]
  Compare 32 and 11
  Swap 32 and 11
  List after swap: [-56, 11, 32, 82, -43, -73, 17]
  Compare 32 and 82
  No swap needed
  Compare 82 and -43
  Swap 82 and -43
  List after swap: [-56, 11, 32, -43, 82, -73, 17]
  Compare 82 and -73
  Swap 82 and -73
  List after swap: [-56, 11, 32, -43, -73, 82, 17]
  Compare 82 and 17
  Swap 82 and 17
  List after swap: [-56, 11, 32, -43, -73, 17, 82]

Pass 2:
  Compare -56 and 11
  No swap needed
  Compare 11 and 32
  No swap needed
  Compare 32 and -43
  Swap 32 and -43
  List after swap: [-56, 11, -43, 32, -73, 17, 82]
  Compare 32 and -73
  Swap 32 and -73
  List after swap: [-56, 11, -43, -73, 32, 17, 82]
  Compare 32 and 17
  Swap 32 and 17
  List after swap: [-56, 11, -43, -73, 17, 32, 82]

Pass 3:
  Compare -56 and 11
  No swap needed
  Compare 11 and -43
  Swap 11 and -43
  List after swap: [-56, -43, 11, -73, 17, 32, 82]
  Compare 11 and -73
  Swap 11 and -73
  List after swap: [-56, -43, -73, 11, 17, 32, 82]
  Compare 11 and 17
  No swap needed

Pass 4:
  Compare -56 and -43
  No swap needed
  Compare -43 and -73
  Swap -43 and -73
  List after swap: [-56, -73, -43, 11, 17, 32, 82]
  Compare -43 and 11
  No swap needed

Pass 5:
  Compare -56 and -73
  Swap -56 and -73
  List after swap: [-73, -56, -43, 11, 17, 32, 82]
  Compare -56 and -43
  No swap needed

Pass 6:
  Compare -73 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -56, -43, 11, 17, 32, 82]
</think>

<response>-73, -56, -43, 11, 17, 32, 82</response>


input: Perform a bubble sort on the integers 47, 1, 17, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [47, 1, 17]

Pass 1:
  Compare 47 and 1
  Swap 47 and 1
  List after swap: [1, 47, 17]
  Compare 47 and 17
  Swap 47 and 17
  List after swap: [1, 17, 47]

Pass 2:
  Compare 1 and 17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [1, 17, 47]
</think>

<response>1, 17, 47</response>


input: Execute bubble sort to sort 20, 63, -61, -89, -2, 86, 7, 31, -44 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [20, 63, -61, -89, -2, 86, 7, 31, -44]

Pass 1:
  Compare 20 and 63
  No swap needed
  Compare 63 and -61
  Swap 63 and -61
  List after swap: [20, -61, 63, -89, -2, 86, 7, 31, -44]
  Compare 63 and -89
  Swap 63 and -89
  List after swap: [20, -61, -89, 63, -2, 86, 7, 31, -44]
  Compare 63 and -2
  Swap 63 and -2
  List after swap: [20, -61, -89, -2, 63, 86, 7, 31, -44]
  Compare 63 and 86
  No swap needed
  Compare 86 and 7
  Swap 86 and 7
  List after swap: [20, -61, -89, -2, 63, 7, 86, 31, -44]
  Compare 86 and 31
  Swap 86 and 31
  List after swap: [20, -61, -89, -2, 63, 7, 31, 86, -44]
  Compare 86 and -44
  Swap 86 and -44
  List after swap: [20, -61, -89, -2, 63, 7, 31, -44, 86]

Pass 2:
  Compare 20 and -61
  Swap 20 and -61
  List after swap: [-61, 20, -89, -2, 63, 7, 31, -44, 86]
  Compare 20 and -89
  Swap 20 and -89
  List after swap: [-61, -89, 20, -2, 63, 7, 31, -44, 86]
  Compare 20 and -2
  Swap 20 and -2
  List after swap: [-61, -89, -2, 20, 63, 7, 31, -44, 86]
  Compare 20 and 63
  No swap needed
  Compare 63 and 7
  Swap 63 and 7
  List after swap: [-61, -89, -2, 20, 7, 63, 31, -44, 86]
  Compare 63 and 31
  Swap 63 and 31
  List after swap: [-61, -89, -2, 20, 7, 31, 63, -44, 86]
  Compare 63 and -44
  Swap 63 and -44
  List after swap: [-61, -89, -2, 20, 7, 31, -44, 63, 86]

Pass 3:
  Compare -61 and -89
  Swap -61 and -89
  List after swap: [-89, -61, -2, 20, 7, 31, -44, 63, 86]
  Compare -61 and -2
  No swap needed
  Compare -2 and 20
  No swap needed
  Compare 20 and 7
  Swap 20 and 7
  List after swap: [-89, -61, -2, 7, 20, 31, -44, 63, 86]
  Compare 20 and 31
  No swap needed
  Compare 31 and -44
  Swap 31 and -44
  List after swap: [-89, -61, -2, 7, 20, -44, 31, 63, 86]

Pass 4:
  Compare -89 and -61
  No swap needed
  Compare -61 and -2
  No swap needed
  Compare -2 and 7
  No swap needed
  Compare 7 and 20
  No swap needed
  Compare 20 and -44
  Swap 20 and -44
  List after swap: [-89, -61, -2, 7, -44, 20, 31, 63, 86]

Pass 5:
  Compare -89 and -61
  No swap needed
  Compare -61 and -2
  No swap needed
  Compare -2 and 7
  No swap needed
  Compare 7 and -44
  Swap 7 and -44
  List after swap: [-89, -61, -2, -44, 7, 20, 31, 63, 86]

Pass 6:
  Compare -89 and -61
  No swap needed
  Compare -61 and -2
  No swap needed
  Compare -2 and -44
  Swap -2 and -44
  List after swap: [-89, -61, -44, -2, 7, 20, 31, 63, 86]

Pass 7:
  Compare -89 and -61
  No swap needed
  Compare -61 and -44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -61, -44, -2, 7, 20, 31, 63, 86]
</think>

<response>-89, -61, -44, -2, 7, 20, 31, 63, 86</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -93, 28, 81, -55, 40, 49.

output:
<think>
Initial list: [-93, 28, 81, -55, 40, 49]

Pass 1:
  Compare -93 and 28
  No swap needed
  Compare 28 and 81
  No swap needed
  Compare 81 and -55
  Swap 81 and -55
  List after swap: [-93, 28, -55, 81, 40, 49]
  Compare 81 and 40
  Swap 81 and 40
  List after swap: [-93, 28, -55, 40, 81, 49]
  Compare 81 and 49
  Swap 81 and 49
  List after swap: [-93, 28, -55, 40, 49, 81]

Pass 2:
  Compare -93 and 28
  No swap needed
  Compare 28 and -55
  Swap 28 and -55
  List after swap: [-93, -55, 28, 40, 49, 81]
  Compare 28 and 40
  No swap needed
  Compare 40 and 49
  No swap needed

Pass 3:
  Compare -93 and -55
  No swap needed
  Compare -55 and 28
  No swap needed
  Compare 28 and 40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -55, 28, 40, 49, 81]
</think>

<response>-93, -55, 28, 40, 49, 81</response>


input: Execute bubble sort to sort -21, 65, 22, 66, -46, -20, -81, 33, -73, 56 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-21, 65, 22, 66, -46, -20, -81, 33, -73, 56]

Pass 1:
  Compare -21 and 65
  No swap needed
  Compare 65 and 22
  Swap 65 and 22
  List after swap: [-21, 22, 65, 66, -46, -20, -81, 33, -73, 56]
  Compare 65 and 66
  No swap needed
  Compare 66 and -46
  Swap 66 and -46
  List after swap: [-21, 22, 65, -46, 66, -20, -81, 33, -73, 56]
  Compare 66 and -20
  Swap 66 and -20
  List after swap: [-21, 22, 65, -46, -20, 66, -81, 33, -73, 56]
  Compare 66 and -81
  Swap 66 and -81
  List after swap: [-21, 22, 65, -46, -20, -81, 66, 33, -73, 56]
  Compare 66 and 33
  Swap 66 and 33
  List after swap: [-21, 22, 65, -46, -20, -81, 33, 66, -73, 56]
  Compare 66 and -73
  Swap 66 and -73
  List after swap: [-21, 22, 65, -46, -20, -81, 33, -73, 66, 56]
  Compare 66 and 56
  Swap 66 and 56
  List after swap: [-21, 22, 65, -46, -20, -81, 33, -73, 56, 66]

Pass 2:
  Compare -21 and 22
  No swap needed
  Compare 22 and 65
  No swap needed
  Compare 65 and -46
  Swap 65 and -46
  List after swap: [-21, 22, -46, 65, -20, -81, 33, -73, 56, 66]
  Compare 65 and -20
  Swap 65 and -20
  List after swap: [-21, 22, -46, -20, 65, -81, 33, -73, 56, 66]
  Compare 65 and -81
  Swap 65 and -81
  List after swap: [-21, 22, -46, -20, -81, 65, 33, -73, 56, 66]
  Compare 65 and 33
  Swap 65 and 33
  List after swap: [-21, 22, -46, -20, -81, 33, 65, -73, 56, 66]
  Compare 65 and -73
  Swap 65 and -73
  List after swap: [-21, 22, -46, -20, -81, 33, -73, 65, 56, 66]
  Compare 65 and 56
  Swap 65 and 56
  List after swap: [-21, 22, -46, -20, -81, 33, -73, 56, 65, 66]

Pass 3:
  Compare -21 and 22
  No swap needed
  Compare 22 and -46
  Swap 22 and -46
  List after swap: [-21, -46, 22, -20, -81, 33, -73, 56, 65, 66]
  Compare 22 and -20
  Swap 22 and -20
  List after swap: [-21, -46, -20, 22, -81, 33, -73, 56, 65, 66]
  Compare 22 and -81
  Swap 22 and -81
  List after swap: [-21, -46, -20, -81, 22, 33, -73, 56, 65, 66]
  Compare 22 and 33
  No swap needed
  Compare 33 and -73
  Swap 33 and -73
  List after swap: [-21, -46, -20, -81, 22, -73, 33, 56, 65, 66]
  Compare 33 and 56
  No swap needed

Pass 4:
  Compare -21 and -46
  Swap -21 and -46
  List after swap: [-46, -21, -20, -81, 22, -73, 33, 56, 65, 66]
  Compare -21 and -20
  No swap needed
  Compare -20 and -81
  Swap -20 and -81
  List after swap: [-46, -21, -81, -20, 22, -73, 33, 56, 65, 66]
  Compare -20 and 22
  No swap needed
  Compare 22 and -73
  Swap 22 and -73
  List after swap: [-46, -21, -81, -20, -73, 22, 33, 56, 65, 66]
  Compare 22 and 33
  No swap needed

Pass 5:
  Compare -46 and -21
  No swap needed
  Compare -21 and -81
  Swap -21 and -81
  List after swap: [-46, -81, -21, -20, -73, 22, 33, 56, 65, 66]
  Compare -21 and -20
  No swap needed
  Compare -20 and -73
  Swap -20 and -73
  List after swap: [-46, -81, -21, -73, -20, 22, 33, 56, 65, 66]
  Compare -20 and 22
  No swap needed

Pass 6:
  Compare -46 and -81
  Swap -46 and -81
  List after swap: [-81, -46, -21, -73, -20, 22, 33, 56, 65, 66]
  Compare -46 and -21
  No swap needed
  Compare -21 and -73
  Swap -21 and -73
  List after swap: [-81, -46, -73, -21, -20, 22, 33, 56, 65, 66]
  Compare -21 and -20
  No swap needed

Pass 7:
  Compare -81 and -46
  No swap needed
  Compare -46 and -73
  Swap -46 and -73
  List after swap: [-81, -73, -46, -21, -20, 22, 33, 56, 65, 66]
  Compare -46 and -21
  No swap needed

Pass 8:
  Compare -81 and -73
  No swap needed
  Compare -73 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -73, -46, -21, -20, 22, 33, 56, 65, 66]
</think>

<response>-81, -73, -46, -21, -20, 22, 33, 56, 65, 66</response>


input: Arrange the numbers 76, 54, 29, 39, -96, -40, -97, -61 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [76, 54, 29, 39, -96, -40, -97, -61]

Pass 1:
  Compare 76 and 54
  Swap 76 and 54
  List after swap: [54, 76, 29, 39, -96, -40, -97, -61]
  Compare 76 and 29
  Swap 76 and 29
  List after swap: [54, 29, 76, 39, -96, -40, -97, -61]
  Compare 76 and 39
  Swap 76 and 39
  List after swap: [54, 29, 39, 76, -96, -40, -97, -61]
  Compare 76 and -96
  Swap 76 and -96
  List after swap: [54, 29, 39, -96, 76, -40, -97, -61]
  Compare 76 and -40
  Swap 76 and -40
  List after swap: [54, 29, 39, -96, -40, 76, -97, -61]
  Compare 76 and -97
  Swap 76 and -97
  List after swap: [54, 29, 39, -96, -40, -97, 76, -61]
  Compare 76 and -61
  Swap 76 and -61
  List after swap: [54, 29, 39, -96, -40, -97, -61, 76]

Pass 2:
  Compare 54 and 29
  Swap 54 and 29
  List after swap: [29, 54, 39, -96, -40, -97, -61, 76]
  Compare 54 and 39
  Swap 54 and 39
  List after swap: [29, 39, 54, -96, -40, -97, -61, 76]
  Compare 54 and -96
  Swap 54 and -96
  List after swap: [29, 39, -96, 54, -40, -97, -61, 76]
  Compare 54 and -40
  Swap 54 and -40
  List after swap: [29, 39, -96, -40, 54, -97, -61, 76]
  Compare 54 and -97
  Swap 54 and -97
  List after swap: [29, 39, -96, -40, -97, 54, -61, 76]
  Compare 54 and -61
  Swap 54 and -61
  List after swap: [29, 39, -96, -40, -97, -61, 54, 76]

Pass 3:
  Compare 29 and 39
  No swap needed
  Compare 39 and -96
  Swap 39 and -96
  List after swap: [29, -96, 39, -40, -97, -61, 54, 76]
  Compare 39 and -40
  Swap 39 and -40
  List after swap: [29, -96, -40, 39, -97, -61, 54, 76]
  Compare 39 and -97
  Swap 39 and -97
  List after swap: [29, -96, -40, -97, 39, -61, 54, 76]
  Compare 39 and -61
  Swap 39 and -61
  List after swap: [29, -96, -40, -97, -61, 39, 54, 76]

Pass 4:
  Compare 29 and -96
  Swap 29 and -96
  List after swap: [-96, 29, -40, -97, -61, 39, 54, 76]
  Compare 29 and -40
  Swap 29 and -40
  List after swap: [-96, -40, 29, -97, -61, 39, 54, 76]
  Compare 29 and -97
  Swap 29 and -97
  List after swap: [-96, -40, -97, 29, -61, 39, 54, 76]
  Compare 29 and -61
  Swap 29 and -61
  List after swap: [-96, -40, -97, -61, 29, 39, 54, 76]

Pass 5:
  Compare -96 and -40
  No swap needed
  Compare -40 and -97
  Swap -40 and -97
  List after swap: [-96, -97, -40, -61, 29, 39, 54, 76]
  Compare -40 and -61
  Swap -40 and -61
  List after swap: [-96, -97, -61, -40, 29, 39, 54, 76]

Pass 6:
  Compare -96 and -97
  Swap -96 and -97
  List after swap: [-97, -96, -61, -40, 29, 39, 54, 76]
  Compare -96 and -61
  No swap needed

Pass 7:
  Compare -97 and -96
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -96, -61, -40, 29, 39, 54, 76]
</think>

<response>-97, -96, -61, -40, 29, 39, 54, 76</response>


input: Sort these integers -43, 61, -93, 85, 42, 96, -13, 26, 89, 84 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-43, 61, -93, 85, 42, 96, -13, 26, 89, 84]

Pass 1:
  Compare -43 and 61
  No swap needed
  Compare 61 and -93
  Swap 61 and -93
  List after swap: [-43, -93, 61, 85, 42, 96, -13, 26, 89, 84]
  Compare 61 and 85
  No swap needed
  Compare 85 and 42
  Swap 85 and 42
  List after swap: [-43, -93, 61, 42, 85, 96, -13, 26, 89, 84]
  Compare 85 and 96
  No swap needed
  Compare 96 and -13
  Swap 96 and -13
  List after swap: [-43, -93, 61, 42, 85, -13, 96, 26, 89, 84]
  Compare 96 and 26
  Swap 96 and 26
  List after swap: [-43, -93, 61, 42, 85, -13, 26, 96, 89, 84]
  Compare 96 and 89
  Swap 96 and 89
  List after swap: [-43, -93, 61, 42, 85, -13, 26, 89, 96, 84]
  Compare 96 and 84
  Swap 96 and 84
  List after swap: [-43, -93, 61, 42, 85, -13, 26, 89, 84, 96]

Pass 2:
  Compare -43 and -93
  Swap -43 and -93
  List after swap: [-93, -43, 61, 42, 85, -13, 26, 89, 84, 96]
  Compare -43 and 61
  No swap needed
  Compare 61 and 42
  Swap 61 and 42
  List after swap: [-93, -43, 42, 61, 85, -13, 26, 89, 84, 96]
  Compare 61 and 85
  No swap needed
  Compare 85 and -13
  Swap 85 and -13
  List after swap: [-93, -43, 42, 61, -13, 85, 26, 89, 84, 96]
  Compare 85 and 26
  Swap 85 and 26
  List after swap: [-93, -43, 42, 61, -13, 26, 85, 89, 84, 96]
  Compare 85 and 89
  No swap needed
  Compare 89 and 84
  Swap 89 and 84
  List after swap: [-93, -43, 42, 61, -13, 26, 85, 84, 89, 96]

Pass 3:
  Compare -93 and -43
  No swap needed
  Compare -43 and 42
  No swap needed
  Compare 42 and 61
  No swap needed
  Compare 61 and -13
  Swap 61 and -13
  List after swap: [-93, -43, 42, -13, 61, 26, 85, 84, 89, 96]
  Compare 61 and 26
  Swap 61 and 26
  List after swap: [-93, -43, 42, -13, 26, 61, 85, 84, 89, 96]
  Compare 61 and 85
  No swap needed
  Compare 85 and 84
  Swap 85 and 84
  List after swap: [-93, -43, 42, -13, 26, 61, 84, 85, 89, 96]

Pass 4:
  Compare -93 and -43
  No swap needed
  Compare -43 and 42
  No swap needed
  Compare 42 and -13
  Swap 42 and -13
  List after swap: [-93, -43, -13, 42, 26, 61, 84, 85, 89, 96]
  Compare 42 and 26
  Swap 42 and 26
  List after swap: [-93, -43, -13, 26, 42, 61, 84, 85, 89, 96]
  Compare 42 and 61
  No swap needed
  Compare 61 and 84
  No swap needed

Pass 5:
  Compare -93 and -43
  No swap needed
  Compare -43 and -13
  No swap needed
  Compare -13 and 26
  No swap needed
  Compare 26 and 42
  No swap needed
  Compare 42 and 61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -43, -13, 26, 42, 61, 84, 85, 89, 96]
</think>

<response>-93, -43, -13, 26, 42, 61, 84, 85, 89, 96</response>


input: Sort the list -32, -17 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-32, -17]

Pass 1:
  Compare -32 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-32, -17]
</think>

<response>-32, -17</response>


input: Carry out the bubble sort algorithm on -88, -14, -75, 20, 92, 58 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-88, -14, -75, 20, 92, 58]

Pass 1:
  Compare -88 and -14
  No swap needed
  Compare -14 and -75
  Swap -14 and -75
  List after swap: [-88, -75, -14, 20, 92, 58]
  Compare -14 and 20
  No swap needed
  Compare 20 and 92
  No swap needed
  Compare 92 and 58
  Swap 92 and 58
  List after swap: [-88, -75, -14, 20, 58, 92]

Pass 2:
  Compare -88 and -75
  No swap needed
  Compare -75 and -14
  No swap needed
  Compare -14 and 20
  No swap needed
  Compare 20 and 58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -75, -14, 20, 58, 92]
</think>

<response>-88, -75, -14, 20, 58, 92</response>


input: Implement bubble sort on 83, -34, -67 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [83, -34, -67]

Pass 1:
  Compare 83 and -34
  Swap 83 and -34
  List after swap: [-34, 83, -67]
  Compare 83 and -67
  Swap 83 and -67
  List after swap: [-34, -67, 83]

Pass 2:
  Compare -34 and -67
  Swap -34 and -67
  List after swap: [-67, -34, 83]

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

Final sorted list: [-67, -34, 83]
</think>

<response>-67, -34, 83</response>


input: Using the bubble sort method, sort -34, -51, 61, 9, 92, 54, -57, -64, 27 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-34, -51, 61, 9, 92, 54, -57, -64, 27]

Pass 1:
  Compare -34 and -51
  Swap -34 and -51
  List after swap: [-51, -34, 61, 9, 92, 54, -57, -64, 27]
  Compare -34 and 61
  No swap needed
  Compare 61 and 9
  Swap 61 and 9
  List after swap: [-51, -34, 9, 61, 92, 54, -57, -64, 27]
  Compare 61 and 92
  No swap needed
  Compare 92 and 54
  Swap 92 and 54
  List after swap: [-51, -34, 9, 61, 54, 92, -57, -64, 27]
  Compare 92 and -57
  Swap 92 and -57
  List after swap: [-51, -34, 9, 61, 54, -57, 92, -64, 27]
  Compare 92 and -64
  Swap 92 and -64
  List after swap: [-51, -34, 9, 61, 54, -57, -64, 92, 27]
  Compare 92 and 27
  Swap 92 and 27
  List after swap: [-51, -34, 9, 61, 54, -57, -64, 27, 92]

Pass 2:
  Compare -51 and -34
  No swap needed
  Compare -34 and 9
  No swap needed
  Compare 9 and 61
  No swap needed
  Compare 61 and 54
  Swap 61 and 54
  List after swap: [-51, -34, 9, 54, 61, -57, -64, 27, 92]
  Compare 61 and -57
  Swap 61 and -57
  List after swap: [-51, -34, 9, 54, -57, 61, -64, 27, 92]
  Compare 61 and -64
  Swap 61 and -64
  List after swap: [-51, -34, 9, 54, -57, -64, 61, 27, 92]
  Compare 61 and 27
  Swap 61 and 27
  List after swap: [-51, -34, 9, 54, -57, -64, 27, 61, 92]

Pass 3:
  Compare -51 and -34
  No swap needed
  Compare -34 and 9
  No swap needed
  Compare 9 and 54
  No swap needed
  Compare 54 and -57
  Swap 54 and -57
  List after swap: [-51, -34, 9, -57, 54, -64, 27, 61, 92]
  Compare 54 and -64
  Swap 54 and -64
  List after swap: [-51, -34, 9, -57, -64, 54, 27, 61, 92]
  Compare 54 and 27
  Swap 54 and 27
  List after swap: [-51, -34, 9, -57, -64, 27, 54, 61, 92]

Pass 4:
  Compare -51 and -34
  No swap needed
  Compare -34 and 9
  No swap needed
  Compare 9 and -57
  Swap 9 and -57
  List after swap: [-51, -34, -57, 9, -64, 27, 54, 61, 92]
  Compare 9 and -64
  Swap 9 and -64
  List after swap: [-51, -34, -57, -64, 9, 27, 54, 61, 92]
  Compare 9 and 27
  No swap needed

Pass 5:
  Compare -51 and -34
  No swap needed
  Compare -34 and -57
  Swap -34 and -57
  List after swap: [-51, -57, -34, -64, 9, 27, 54, 61, 92]
  Compare -34 and -64
  Swap -34 and -64
  List after swap: [-51, -57, -64, -34, 9, 27, 54, 61, 92]
  Compare -34 and 9
  No swap needed

Pass 6:
  Compare -51 and -57
  Swap -51 and -57
  List after swap: [-57, -51, -64, -34, 9, 27, 54, 61, 92]
  Compare -51 and -64
  Swap -51 and -64
  List after swap: [-57, -64, -51, -34, 9, 27, 54, 61, 92]
  Compare -51 and -34
  No swap needed

Pass 7:
  Compare -57 and -64
  Swap -57 and -64
  List after swap: [-64, -57, -51, -34, 9, 27, 54, 61, 92]
  Compare -57 and -51
  No swap needed

Pass 8:
  Compare -64 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -57, -51, -34, 9, 27, 54, 61, 92]
</think>

<response>-64, -57, -51, -34, 9, 27, 54, 61, 92</response>


input: Using the bubble sort method, sort 47, -14, 85 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [47, -14, 85]

Pass 1:
  Compare 47 and -14
  Swap 47 and -14
  List after swap: [-14, 47, 85]
  Compare 47 and 85
  No swap needed

Pass 2:
  Compare -14 and 47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-14, 47, 85]
</think>

<response>-14, 47, 85</response>


input: Using the bubble sort method, sort 58, -92 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [58, -92]

Pass 1:
  Compare 58 and -92
  Swap 58 and -92
  List after swap: [-92, 58]

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

Final sorted list: [-92, 58]
</think>

<response>-92, 58</response>


input: Implement bubble sort on 84, 6, -26, -80, -78, 91, -11, 42 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [84, 6, -26, -80, -78, 91, -11, 42]

Pass 1:
  Compare 84 and 6
  Swap 84 and 6
  List after swap: [6, 84, -26, -80, -78, 91, -11, 42]
  Compare 84 and -26
  Swap 84 and -26
  List after swap: [6, -26, 84, -80, -78, 91, -11, 42]
  Compare 84 and -80
  Swap 84 and -80
  List after swap: [6, -26, -80, 84, -78, 91, -11, 42]
  Compare 84 and -78
  Swap 84 and -78
  List after swap: [6, -26, -80, -78, 84, 91, -11, 42]
  Compare 84 and 91
  No swap needed
  Compare 91 and -11
  Swap 91 and -11
  List after swap: [6, -26, -80, -78, 84, -11, 91, 42]
  Compare 91 and 42
  Swap 91 and 42
  List after swap: [6, -26, -80, -78, 84, -11, 42, 91]

Pass 2:
  Compare 6 and -26
  Swap 6 and -26
  List after swap: [-26, 6, -80, -78, 84, -11, 42, 91]
  Compare 6 and -80
  Swap 6 and -80
  List after swap: [-26, -80, 6, -78, 84, -11, 42, 91]
  Compare 6 and -78
  Swap 6 and -78
  List after swap: [-26, -80, -78, 6, 84, -11, 42, 91]
  Compare 6 and 84
  No swap needed
  Compare 84 and -11
  Swap 84 and -11
  List after swap: [-26, -80, -78, 6, -11, 84, 42, 91]
  Compare 84 and 42
  Swap 84 and 42
  List after swap: [-26, -80, -78, 6, -11, 42, 84, 91]

Pass 3:
  Compare -26 and -80
  Swap -26 and -80
  List after swap: [-80, -26, -78, 6, -11, 42, 84, 91]
  Compare -26 and -78
  Swap -26 and -78
  List after swap: [-80, -78, -26, 6, -11, 42, 84, 91]
  Compare -26 and 6
  No swap needed
  Compare 6 and -11
  Swap 6 and -11
  List after swap: [-80, -78, -26, -11, 6, 42, 84, 91]
  Compare 6 and 42
  No swap needed

Pass 4:
  Compare -80 and -78
  No swap needed
  Compare -78 and -26
  No swap needed
  Compare -26 and -11
  No swap needed
  Compare -11 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -78, -26, -11, 6, 42, 84, 91]
</think>

<response>-80, -78, -26, -11, 6, 42, 84, 91</response>


input: Sort these integers 84, -63, -61, -64, -70, -19, -83, 64 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [84, -63, -61, -64, -70, -19, -83, 64]

Pass 1:
  Compare 84 and -63
  Swap 84 and -63
  List after swap: [-63, 84, -61, -64, -70, -19, -83, 64]
  Compare 84 and -61
  Swap 84 and -61
  List after swap: [-63, -61, 84, -64, -70, -19, -83, 64]
  Compare 84 and -64
  Swap 84 and -64
  List after swap: [-63, -61, -64, 84, -70, -19, -83, 64]
  Compare 84 and -70
  Swap 84 and -70
  List after swap: [-63, -61, -64, -70, 84, -19, -83, 64]
  Compare 84 and -19
  Swap 84 and -19
  List after swap: [-63, -61, -64, -70, -19, 84, -83, 64]
  Compare 84 and -83
  Swap 84 and -83
  List after swap: [-63, -61, -64, -70, -19, -83, 84, 64]
  Compare 84 and 64
  Swap 84 and 64
  List after swap: [-63, -61, -64, -70, -19, -83, 64, 84]

Pass 2:
  Compare -63 and -61
  No swap needed
  Compare -61 and -64
  Swap -61 and -64
  List after swap: [-63, -64, -61, -70, -19, -83, 64, 84]
  Compare -61 and -70
  Swap -61 and -70
  List after swap: [-63, -64, -70, -61, -19, -83, 64, 84]
  Compare -61 and -19
  No swap needed
  Compare -19 and -83
  Swap -19 and -83
  List after swap: [-63, -64, -70, -61, -83, -19, 64, 84]
  Compare -19 and 64
  No swap needed

Pass 3:
  Compare -63 and -64
  Swap -63 and -64
  List after swap: [-64, -63, -70, -61, -83, -19, 64, 84]
  Compare -63 and -70
  Swap -63 and -70
  List after swap: [-64, -70, -63, -61, -83, -19, 64, 84]
  Compare -63 and -61
  No swap needed
  Compare -61 and -83
  Swap -61 and -83
  List after swap: [-64, -70, -63, -83, -61, -19, 64, 84]
  Compare -61 and -19
  No swap needed

Pass 4:
  Compare -64 and -70
  Swap -64 and -70
  List after swap: [-70, -64, -63, -83, -61, -19, 64, 84]
  Compare -64 and -63
  No swap needed
  Compare -63 and -83
  Swap -63 and -83
  List after swap: [-70, -64, -83, -63, -61, -19, 64, 84]
  Compare -63 and -61
  No swap needed

Pass 5:
  Compare -70 and -64
  No swap needed
  Compare -64 and -83
  Swap -64 and -83
  List after swap: [-70, -83, -64, -63, -61, -19, 64, 84]
  Compare -64 and -63
  No swap needed

Pass 6:
  Compare -70 and -83
  Swap -70 and -83
  List after swap: [-83, -70, -64, -63, -61, -19, 64, 84]
  Compare -70 and -64
  No swap needed

Pass 7:
  Compare -83 and -70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -70, -64, -63, -61, -19, 64, 84]
</think>

<response>-83, -70, -64, -63, -61, -19, 64, 84</response>


input: Execute bubble sort to sort -17, -63, -73, -89, -3, -16, -39, 56, 31 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-17, -63, -73, -89, -3, -16, -39, 56, 31]

Pass 1:
  Compare -17 and -63
  Swap -17 and -63
  List after swap: [-63, -17, -73, -89, -3, -16, -39, 56, 31]
  Compare -17 and -73
  Swap -17 and -73
  List after swap: [-63, -73, -17, -89, -3, -16, -39, 56, 31]
  Compare -17 and -89
  Swap -17 and -89
  List after swap: [-63, -73, -89, -17, -3, -16, -39, 56, 31]
  Compare -17 and -3
  No swap needed
  Compare -3 and -16
  Swap -3 and -16
  List after swap: [-63, -73, -89, -17, -16, -3, -39, 56, 31]
  Compare -3 and -39
  Swap -3 and -39
  List after swap: [-63, -73, -89, -17, -16, -39, -3, 56, 31]
  Compare -3 and 56
  No swap needed
  Compare 56 and 31
  Swap 56 and 31
  List after swap: [-63, -73, -89, -17, -16, -39, -3, 31, 56]

Pass 2:
  Compare -63 and -73
  Swap -63 and -73
  List after swap: [-73, -63, -89, -17, -16, -39, -3, 31, 56]
  Compare -63 and -89
  Swap -63 and -89
  List after swap: [-73, -89, -63, -17, -16, -39, -3, 31, 56]
  Compare -63 and -17
  No swap needed
  Compare -17 and -16
  No swap needed
  Compare -16 and -39
  Swap -16 and -39
  List after swap: [-73, -89, -63, -17, -39, -16, -3, 31, 56]
  Compare -16 and -3
  No swap needed
  Compare -3 and 31
  No swap needed

Pass 3:
  Compare -73 and -89
  Swap -73 and -89
  List after swap: [-89, -73, -63, -17, -39, -16, -3, 31, 56]
  Compare -73 and -63
  No swap needed
  Compare -63 and -17
  No swap needed
  Compare -17 and -39
  Swap -17 and -39
  List after swap: [-89, -73, -63, -39, -17, -16, -3, 31, 56]
  Compare -17 and -16
  No swap needed
  Compare -16 and -3
  No swap needed

Pass 4:
  Compare -89 and -73
  No swap needed
  Compare -73 and -63
  No swap needed
  Compare -63 and -39
  No swap needed
  Compare -39 and -17
  No swap needed
  Compare -17 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -73, -63, -39, -17, -16, -3, 31, 56]
</think>

<response>-89, -73, -63, -39, -17, -16, -3, 31, 56</response>


input: Execute bubble sort to sort 0, 29, -81, 1, 28, 33 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [0, 29, -81, 1, 28, 33]

Pass 1:
  Compare 0 and 29
  No swap needed
  Compare 29 and -81
  Swap 29 and -81
  List after swap: [0, -81, 29, 1, 28, 33]
  Compare 29 and 1
  Swap 29 and 1
  List after swap: [0, -81, 1, 29, 28, 33]
  Compare 29 and 28
  Swap 29 and 28
  List after swap: [0, -81, 1, 28, 29, 33]
  Compare 29 and 33
  No swap needed

Pass 2:
  Compare 0 and -81
  Swap 0 and -81
  List after swap: [-81, 0, 1, 28, 29, 33]
  Compare 0 and 1
  No swap needed
  Compare 1 and 28
  No swap needed
  Compare 28 and 29
  No swap needed

Pass 3:
  Compare -81 and 0
  No swap needed
  Compare 0 and 1
  No swap needed
  Compare 1 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, 0, 1, 28, 29, 33]
</think>

<response>-81, 0, 1, 28, 29, 33</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 86, 0, 25, 98, 89, -73, -70, 52, -27, 50.

output:
<think>
Initial list: [86, 0, 25, 98, 89, -73, -70, 52, -27, 50]

Pass 1:
  Compare 86 and 0
  Swap 86 and 0
  List after swap: [0, 86, 25, 98, 89, -73, -70, 52, -27, 50]
  Compare 86 and 25
  Swap 86 and 25
  List after swap: [0, 25, 86, 98, 89, -73, -70, 52, -27, 50]
  Compare 86 and 98
  No swap needed
  Compare 98 and 89
  Swap 98 and 89
  List after swap: [0, 25, 86, 89, 98, -73, -70, 52, -27, 50]
  Compare 98 and -73
  Swap 98 and -73
  List after swap: [0, 25, 86, 89, -73, 98, -70, 52, -27, 50]
  Compare 98 and -70
  Swap 98 and -70
  List after swap: [0, 25, 86, 89, -73, -70, 98, 52, -27, 50]
  Compare 98 and 52
  Swap 98 and 52
  List after swap: [0, 25, 86, 89, -73, -70, 52, 98, -27, 50]
  Compare 98 and -27
  Swap 98 and -27
  List after swap: [0, 25, 86, 89, -73, -70, 52, -27, 98, 50]
  Compare 98 and 50
  Swap 98 and 50
  List after swap: [0, 25, 86, 89, -73, -70, 52, -27, 50, 98]

Pass 2:
  Compare 0 and 25
  No swap needed
  Compare 25 and 86
  No swap needed
  Compare 86 and 89
  No swap needed
  Compare 89 and -73
  Swap 89 and -73
  List after swap: [0, 25, 86, -73, 89, -70, 52, -27, 50, 98]
  Compare 89 and -70
  Swap 89 and -70
  List after swap: [0, 25, 86, -73, -70, 89, 52, -27, 50, 98]
  Compare 89 and 52
  Swap 89 and 52
  List after swap: [0, 25, 86, -73, -70, 52, 89, -27, 50, 98]
  Compare 89 and -27
  Swap 89 and -27
  List after swap: [0, 25, 86, -73, -70, 52, -27, 89, 50, 98]
  Compare 89 and 50
  Swap 89 and 50
  List after swap: [0, 25, 86, -73, -70, 52, -27, 50, 89, 98]

Pass 3:
  Compare 0 and 25
  No swap needed
  Compare 25 and 86
  No swap needed
  Compare 86 and -73
  Swap 86 and -73
  List after swap: [0, 25, -73, 86, -70, 52, -27, 50, 89, 98]
  Compare 86 and -70
  Swap 86 and -70
  List after swap: [0, 25, -73, -70, 86, 52, -27, 50, 89, 98]
  Compare 86 and 52
  Swap 86 and 52
  List after swap: [0, 25, -73, -70, 52, 86, -27, 50, 89, 98]
  Compare 86 and -27
  Swap 86 and -27
  List after swap: [0, 25, -73, -70, 52, -27, 86, 50, 89, 98]
  Compare 86 and 50
  Swap 86 and 50
  List after swap: [0, 25, -73, -70, 52, -27, 50, 86, 89, 98]

Pass 4:
  Compare 0 and 25
  No swap needed
  Compare 25 and -73
  Swap 25 and -73
  List after swap: [0, -73, 25, -70, 52, -27, 50, 86, 89, 98]
  Compare 25 and -70
  Swap 25 and -70
  List after swap: [0, -73, -70, 25, 52, -27, 50, 86, 89, 98]
  Compare 25 and 52
  No swap needed
  Compare 52 and -27
  Swap 52 and -27
  List after swap: [0, -73, -70, 25, -27, 52, 50, 86, 89, 98]
  Compare 52 and 50
  Swap 52 and 50
  List after swap: [0, -73, -70, 25, -27, 50, 52, 86, 89, 98]

Pass 5:
  Compare 0 and -73
  Swap 0 and -73
  List after swap: [-73, 0, -70, 25, -27, 50, 52, 86, 89, 98]
  Compare 0 and -70
  Swap 0 and -70
  List after swap: [-73, -70, 0, 25, -27, 50, 52, 86, 89, 98]
  Compare 0 and 25
  No swap needed
  Compare 25 and -27
  Swap 25 and -27
  List after swap: [-73, -70, 0, -27, 25, 50, 52, 86, 89, 98]
  Compare 25 and 50
  No swap needed

Pass 6:
  Compare -73 and -70
  No swap needed
  Compare -70 and 0
  No swap needed
  Compare 0 and -27
  Swap 0 and -27
  List after swap: [-73, -70, -27, 0, 25, 50, 52, 86, 89, 98]
  Compare 0 and 25
  No swap needed

Pass 7:
  Compare -73 and -70
  No swap needed
  Compare -70 and -27
  No swap needed
  Compare -27 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -70, -27, 0, 25, 50, 52, 86, 89, 98]
</think>

<response>-73, -70, -27, 0, 25, 50, 52, 86, 89, 98</response>


input: Use the bubble sort technique to reorder -50, 29 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-50, 29]

Pass 1:
  Compare -50 and 29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, 29]
</think>

<response>-50, 29</response>


input: Using the bubble sort method, sort -17, -50, 46, -3, 80, -40, 25 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-17, -50, 46, -3, 80, -40, 25]

Pass 1:
  Compare -17 and -50
  Swap -17 and -50
  List after swap: [-50, -17, 46, -3, 80, -40, 25]
  Compare -17 and 46
  No swap needed
  Compare 46 and -3
  Swap 46 and -3
  List after swap: [-50, -17, -3, 46, 80, -40, 25]
  Compare 46 and 80
  No swap needed
  Compare 80 and -40
  Swap 80 and -40
  List after swap: [-50, -17, -3, 46, -40, 80, 25]
  Compare 80 and 25
  Swap 80 and 25
  List after swap: [-50, -17, -3, 46, -40, 25, 80]

Pass 2:
  Compare -50 and -17
  No swap needed
  Compare -17 and -3
  No swap needed
  Compare -3 and 46
  No swap needed
  Compare 46 and -40
  Swap 46 and -40
  List after swap: [-50, -17, -3, -40, 46, 25, 80]
  Compare 46 and 25
  Swap 46 and 25
  List after swap: [-50, -17, -3, -40, 25, 46, 80]

Pass 3:
  Compare -50 and -17
  No swap needed
  Compare -17 and -3
  No swap needed
  Compare -3 and -40
  Swap -3 and -40
  List after swap: [-50, -17, -40, -3, 25, 46, 80]
  Compare -3 and 25
  No swap needed

Pass 4:
  Compare -50 and -17
  No swap needed
  Compare -17 and -40
  Swap -17 and -40
  List after swap: [-50, -40, -17, -3, 25, 46, 80]
  Compare -17 and -3
  No swap needed

Pass 5:
  Compare -50 and -40
  No swap needed
  Compare -40 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, -40, -17, -3, 25, 46, 80]
</think>

<response>-50, -40, -17, -3, 25, 46, 80</response>


input: Implement bubble sort on 78, -19 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [78, -19]

Pass 1:
  Compare 78 and -19
  Swap 78 and -19
  List after swap: [-19, 78]

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

Final sorted list: [-19, 78]
</think>

<response>-19, 78</response>


input: Use the bubble sort technique to reorder 15, -80, 39, -76, 14 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [15, -80, 39, -76, 14]

Pass 1:
  Compare 15 and -80
  Swap 15 and -80
  List after swap: [-80, 15, 39, -76, 14]
  Compare 15 and 39
  No swap needed
  Compare 39 and -76
  Swap 39 and -76
  List after swap: [-80, 15, -76, 39, 14]
  Compare 39 and 14
  Swap 39 and 14
  List after swap: [-80, 15, -76, 14, 39]

Pass 2:
  Compare -80 and 15
  No swap needed
  Compare 15 and -76
  Swap 15 and -76
  List after swap: [-80, -76, 15, 14, 39]
  Compare 15 and 14
  Swap 15 and 14
  List after swap: [-80, -76, 14, 15, 39]

Pass 3:
  Compare -80 and -76
  No swap needed
  Compare -76 and 14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -76, 14, 15, 39]
</think>

<response>-80, -76, 14, 15, 39</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -12, 93, 12, 30, 79, 9, -44, 16, 17, 48.

output:
<think>
Initial list: [-12, 93, 12, 30, 79, 9, -44, 16, 17, 48]

Pass 1:
  Compare -12 and 93
  No swap needed
  Compare 93 and 12
  Swap 93 and 12
  List after swap: [-12, 12, 93, 30, 79, 9, -44, 16, 17, 48]
  Compare 93 and 30
  Swap 93 and 30
  List after swap: [-12, 12, 30, 93, 79, 9, -44, 16, 17, 48]
  Compare 93 and 79
  Swap 93 and 79
  List after swap: [-12, 12, 30, 79, 93, 9, -44, 16, 17, 48]
  Compare 93 and 9
  Swap 93 and 9
  List after swap: [-12, 12, 30, 79, 9, 93, -44, 16, 17, 48]
  Compare 93 and -44
  Swap 93 and -44
  List after swap: [-12, 12, 30, 79, 9, -44, 93, 16, 17, 48]
  Compare 93 and 16
  Swap 93 and 16
  List after swap: [-12, 12, 30, 79, 9, -44, 16, 93, 17, 48]
  Compare 93 and 17
  Swap 93 and 17
  List after swap: [-12, 12, 30, 79, 9, -44, 16, 17, 93, 48]
  Compare 93 and 48
  Swap 93 and 48
  List after swap: [-12, 12, 30, 79, 9, -44, 16, 17, 48, 93]

Pass 2:
  Compare -12 and 12
  No swap needed
  Compare 12 and 30
  No swap needed
  Compare 30 and 79
  No swap needed
  Compare 79 and 9
  Swap 79 and 9
  List after swap: [-12, 12, 30, 9, 79, -44, 16, 17, 48, 93]
  Compare 79 and -44
  Swap 79 and -44
  List after swap: [-12, 12, 30, 9, -44, 79, 16, 17, 48, 93]
  Compare 79 and 16
  Swap 79 and 16
  List after swap: [-12, 12, 30, 9, -44, 16, 79, 17, 48, 93]
  Compare 79 and 17
  Swap 79 and 17
  List after swap: [-12, 12, 30, 9, -44, 16, 17, 79, 48, 93]
  Compare 79 and 48
  Swap 79 and 48
  List after swap: [-12, 12, 30, 9, -44, 16, 17, 48, 79, 93]

Pass 3:
  Compare -12 and 12
  No swap needed
  Compare 12 and 30
  No swap needed
  Compare 30 and 9
  Swap 30 and 9
  List after swap: [-12, 12, 9, 30, -44, 16, 17, 48, 79, 93]
  Compare 30 and -44
  Swap 30 and -44
  List after swap: [-12, 12, 9, -44, 30, 16, 17, 48, 79, 93]
  Compare 30 and 16
  Swap 30 and 16
  List after swap: [-12, 12, 9, -44, 16, 30, 17, 48, 79, 93]
  Compare 30 and 17
  Swap 30 and 17
  List after swap: [-12, 12, 9, -44, 16, 17, 30, 48, 79, 93]
  Compare 30 and 48
  No swap needed

Pass 4:
  Compare -12 and 12
  No swap needed
  Compare 12 and 9
  Swap 12 and 9
  List after swap: [-12, 9, 12, -44, 16, 17, 30, 48, 79, 93]
  Compare 12 and -44
  Swap 12 and -44
  List after swap: [-12, 9, -44, 12, 16, 17, 30, 48, 79, 93]
  Compare 12 and 16
  No swap needed
  Compare 16 and 17
  No swap needed
  Compare 17 and 30
  No swap needed

Pass 5:
  Compare -12 and 9
  No swap needed
  Compare 9 and -44
  Swap 9 and -44
  List after swap: [-12, -44, 9, 12, 16, 17, 30, 48, 79, 93]
  Compare 9 and 12
  No swap needed
  Compare 12 and 16
  No swap needed
  Compare 16 and 17
  No swap needed

Pass 6:
  Compare -12 and -44
  Swap -12 and -44
  List after swap: [-44, -12, 9, 12, 16, 17, 30, 48, 79, 93]
  Compare -12 and 9
  No swap needed
  Compare 9 and 12
  No swap needed
  Compare 12 and 16
  No swap needed

Pass 7:
  Compare -44 and -12
  No swap needed
  Compare -12 and 9
  No swap needed
  Compare 9 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-44, -12, 9, 12, 16, 17, 30, 48, 79, 93]
</think>

<response>-44, -12, 9, 12, 16, 17, 30, 48, 79, 93</response>


input: Implement bubble sort on 5, 87, -52, -66, -49, 75, -47, -31, 28 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [5, 87, -52, -66, -49, 75, -47, -31, 28]

Pass 1:
  Compare 5 and 87
  No swap needed
  Compare 87 and -52
  Swap 87 and -52
  List after swap: [5, -52, 87, -66, -49, 75, -47, -31, 28]
  Compare 87 and -66
  Swap 87 and -66
  List after swap: [5, -52, -66, 87, -49, 75, -47, -31, 28]
  Compare 87 and -49
  Swap 87 and -49
  List after swap: [5, -52, -66, -49, 87, 75, -47, -31, 28]
  Compare 87 and 75
  Swap 87 and 75
  List after swap: [5, -52, -66, -49, 75, 87, -47, -31, 28]
  Compare 87 and -47
  Swap 87 and -47
  List after swap: [5, -52, -66, -49, 75, -47, 87, -31, 28]
  Compare 87 and -31
  Swap 87 and -31
  List after swap: [5, -52, -66, -49, 75, -47, -31, 87, 28]
  Compare 87 and 28
  Swap 87 and 28
  List after swap: [5, -52, -66, -49, 75, -47, -31, 28, 87]

Pass 2:
  Compare 5 and -52
  Swap 5 and -52
  List after swap: [-52, 5, -66, -49, 75, -47, -31, 28, 87]
  Compare 5 and -66
  Swap 5 and -66
  List after swap: [-52, -66, 5, -49, 75, -47, -31, 28, 87]
  Compare 5 and -49
  Swap 5 and -49
  List after swap: [-52, -66, -49, 5, 75, -47, -31, 28, 87]
  Compare 5 and 75
  No swap needed
  Compare 75 and -47
  Swap 75 and -47
  List after swap: [-52, -66, -49, 5, -47, 75, -31, 28, 87]
  Compare 75 and -31
  Swap 75 and -31
  List after swap: [-52, -66, -49, 5, -47, -31, 75, 28, 87]
  Compare 75 and 28
  Swap 75 and 28
  List after swap: [-52, -66, -49, 5, -47, -31, 28, 75, 87]

Pass 3:
  Compare -52 and -66
  Swap -52 and -66
  List after swap: [-66, -52, -49, 5, -47, -31, 28, 75, 87]
  Compare -52 and -49
  No swap needed
  Compare -49 and 5
  No swap needed
  Compare 5 and -47
  Swap 5 and -47
  List after swap: [-66, -52, -49, -47, 5, -31, 28, 75, 87]
  Compare 5 and -31
  Swap 5 and -31
  List after swap: [-66, -52, -49, -47, -31, 5, 28, 75, 87]
  Compare 5 and 28
  No swap needed

Pass 4:
  Compare -66 and -52
  No swap needed
  Compare -52 and -49
  No swap needed
  Compare -49 and -47
  No swap needed
  Compare -47 and -31
  No swap needed
  Compare -31 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -52, -49, -47, -31, 5, 28, 75, 87]
</think>

<response>-66, -52, -49, -47, -31, 5, 28, 75, 87</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -28, 20, -70, 43, 66, 64.

output:
<think>
Initial list: [-28, 20, -70, 43, 66, 64]

Pass 1:
  Compare -28 and 20
  No swap needed
  Compare 20 and -70
  Swap 20 and -70
  List after swap: [-28, -70, 20, 43, 66, 64]
  Compare 20 and 43
  No swap needed
  Compare 43 and 66
  No swap needed
  Compare 66 and 64
  Swap 66 and 64
  List after swap: [-28, -70, 20, 43, 64, 66]

Pass 2:
  Compare -28 and -70
  Swap -28 and -70
  List after swap: [-70, -28, 20, 43, 64, 66]
  Compare -28 and 20
  No swap needed
  Compare 20 and 43
  No swap needed
  Compare 43 and 64
  No swap needed

Pass 3:
  Compare -70 and -28
  No swap needed
  Compare -28 and 20
  No swap needed
  Compare 20 and 43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -28, 20, 43, 64, 66]
</think>

<response>-70, -28, 20, 43, 64, 66</response>


input: Sort the list -89, -3, 75, 69, -56, 88, 64 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-89, -3, 75, 69, -56, 88, 64]

Pass 1:
  Compare -89 and -3
  No swap needed
  Compare -3 and 75
  No swap needed
  Compare 75 and 69
  Swap 75 and 69
  List after swap: [-89, -3, 69, 75, -56, 88, 64]
  Compare 75 and -56
  Swap 75 and -56
  List after swap: [-89, -3, 69, -56, 75, 88, 64]
  Compare 75 and 88
  No swap needed
  Compare 88 and 64
  Swap 88 and 64
  List after swap: [-89, -3, 69, -56, 75, 64, 88]

Pass 2:
  Compare -89 and -3
  No swap needed
  Compare -3 and 69
  No swap needed
  Compare 69 and -56
  Swap 69 and -56
  List after swap: [-89, -3, -56, 69, 75, 64, 88]
  Compare 69 and 75
  No swap needed
  Compare 75 and 64
  Swap 75 and 64
  List after swap: [-89, -3, -56, 69, 64, 75, 88]

Pass 3:
  Compare -89 and -3
  No swap needed
  Compare -3 and -56
  Swap -3 and -56
  List after swap: [-89, -56, -3, 69, 64, 75, 88]
  Compare -3 and 69
  No swap needed
  Compare 69 and 64
  Swap 69 and 64
  List after swap: [-89, -56, -3, 64, 69, 75, 88]

Pass 4:
  Compare -89 and -56
  No swap needed
  Compare -56 and -3
  No swap needed
  Compare -3 and 64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -56, -3, 64, 69, 75, 88]
</think>

<response>-89, -56, -3, 64, 69, 75, 88</response>


input: Execute bubble sort to sort 67, 92, -7, 87, 32, -14 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [67, 92, -7, 87, 32, -14]

Pass 1:
  Compare 67 and 92
  No swap needed
  Compare 92 and -7
  Swap 92 and -7
  List after swap: [67, -7, 92, 87, 32, -14]
  Compare 92 and 87
  Swap 92 and 87
  List after swap: [67, -7, 87, 92, 32, -14]
  Compare 92 and 32
  Swap 92 and 32
  List after swap: [67, -7, 87, 32, 92, -14]
  Compare 92 and -14
  Swap 92 and -14
  List after swap: [67, -7, 87, 32, -14, 92]

Pass 2:
  Compare 67 and -7
  Swap 67 and -7
  List after swap: [-7, 67, 87, 32, -14, 92]
  Compare 67 and 87
  No swap needed
  Compare 87 and 32
  Swap 87 and 32
  List after swap: [-7, 67, 32, 87, -14, 92]
  Compare 87 and -14
  Swap 87 and -14
  List after swap: [-7, 67, 32, -14, 87, 92]

Pass 3:
  Compare -7 and 67
  No swap needed
  Compare 67 and 32
  Swap 67 and 32
  List after swap: [-7, 32, 67, -14, 87, 92]
  Compare 67 and -14
  Swap 67 and -14
  List after swap: [-7, 32, -14, 67, 87, 92]

Pass 4:
  Compare -7 and 32
  No swap needed
  Compare 32 and -14
  Swap 32 and -14
  List after swap: [-7, -14, 32, 67, 87, 92]

Pass 5:
  Compare -7 and -14
  Swap -7 and -14
  List after swap: [-14, -7, 32, 67, 87, 92]

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

Final sorted list: [-14, -7, 32, 67, 87, 92]
</think>

<response>-14, -7, 32, 67, 87, 92</response>


input: Execute bubble sort to sort 91, 30, -58, 5, 62, -55, 73, 98, -45 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [91, 30, -58, 5, 62, -55, 73, 98, -45]

Pass 1:
  Compare 91 and 30
  Swap 91 and 30
  List after swap: [30, 91, -58, 5, 62, -55, 73, 98, -45]
  Compare 91 and -58
  Swap 91 and -58
  List after swap: [30, -58, 91, 5, 62, -55, 73, 98, -45]
  Compare 91 and 5
  Swap 91 and 5
  List after swap: [30, -58, 5, 91, 62, -55, 73, 98, -45]
  Compare 91 and 62
  Swap 91 and 62
  List after swap: [30, -58, 5, 62, 91, -55, 73, 98, -45]
  Compare 91 and -55
  Swap 91 and -55
  List after swap: [30, -58, 5, 62, -55, 91, 73, 98, -45]
  Compare 91 and 73
  Swap 91 and 73
  List after swap: [30, -58, 5, 62, -55, 73, 91, 98, -45]
  Compare 91 and 98
  No swap needed
  Compare 98 and -45
  Swap 98 and -45
  List after swap: [30, -58, 5, 62, -55, 73, 91, -45, 98]

Pass 2:
  Compare 30 and -58
  Swap 30 and -58
  List after swap: [-58, 30, 5, 62, -55, 73, 91, -45, 98]
  Compare 30 and 5
  Swap 30 and 5
  List after swap: [-58, 5, 30, 62, -55, 73, 91, -45, 98]
  Compare 30 and 62
  No swap needed
  Compare 62 and -55
  Swap 62 and -55
  List after swap: [-58, 5, 30, -55, 62, 73, 91, -45, 98]
  Compare 62 and 73
  No swap needed
  Compare 73 and 91
  No swap needed
  Compare 91 and -45
  Swap 91 and -45
  List after swap: [-58, 5, 30, -55, 62, 73, -45, 91, 98]

Pass 3:
  Compare -58 and 5
  No swap needed
  Compare 5 and 30
  No swap needed
  Compare 30 and -55
  Swap 30 and -55
  List after swap: [-58, 5, -55, 30, 62, 73, -45, 91, 98]
  Compare 30 and 62
  No swap needed
  Compare 62 and 73
  No swap needed
  Compare 73 and -45
  Swap 73 and -45
  List after swap: [-58, 5, -55, 30, 62, -45, 73, 91, 98]

Pass 4:
  Compare -58 and 5
  No swap needed
  Compare 5 and -55
  Swap 5 and -55
  List after swap: [-58, -55, 5, 30, 62, -45, 73, 91, 98]
  Compare 5 and 30
  No swap needed
  Compare 30 and 62
  No swap needed
  Compare 62 and -45
  Swap 62 and -45
  List after swap: [-58, -55, 5, 30, -45, 62, 73, 91, 98]

Pass 5:
  Compare -58 and -55
  No swap needed
  Compare -55 and 5
  No swap needed
  Compare 5 and 30
  No swap needed
  Compare 30 and -45
  Swap 30 and -45
  List after swap: [-58, -55, 5, -45, 30, 62, 73, 91, 98]

Pass 6:
  Compare -58 and -55
  No swap needed
  Compare -55 and 5
  No swap needed
  Compare 5 and -45
  Swap 5 and -45
  List after swap: [-58, -55, -45, 5, 30, 62, 73, 91, 98]

Pass 7:
  Compare -58 and -55
  No swap needed
  Compare -55 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -55, -45, 5, 30, 62, 73, 91, 98]
</think>

<response>-58, -55, -45, 5, 30, 62, 73, 91, 98</response>


input: Using the bubble sort method, sort -21, -99, 92, -53, -22, -95, -7, 80, 51, 81 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-21, -99, 92, -53, -22, -95, -7, 80, 51, 81]

Pass 1:
  Compare -21 and -99
  Swap -21 and -99
  List after swap: [-99, -21, 92, -53, -22, -95, -7, 80, 51, 81]
  Compare -21 and 92
  No swap needed
  Compare 92 and -53
  Swap 92 and -53
  List after swap: [-99, -21, -53, 92, -22, -95, -7, 80, 51, 81]
  Compare 92 and -22
  Swap 92 and -22
  List after swap: [-99, -21, -53, -22, 92, -95, -7, 80, 51, 81]
  Compare 92 and -95
  Swap 92 and -95
  List after swap: [-99, -21, -53, -22, -95, 92, -7, 80, 51, 81]
  Compare 92 and -7
  Swap 92 and -7
  List after swap: [-99, -21, -53, -22, -95, -7, 92, 80, 51, 81]
  Compare 92 and 80
  Swap 92 and 80
  List after swap: [-99, -21, -53, -22, -95, -7, 80, 92, 51, 81]
  Compare 92 and 51
  Swap 92 and 51
  List after swap: [-99, -21, -53, -22, -95, -7, 80, 51, 92, 81]
  Compare 92 and 81
  Swap 92 and 81
  List after swap: [-99, -21, -53, -22, -95, -7, 80, 51, 81, 92]

Pass 2:
  Compare -99 and -21
  No swap needed
  Compare -21 and -53
  Swap -21 and -53
  List after swap: [-99, -53, -21, -22, -95, -7, 80, 51, 81, 92]
  Compare -21 and -22
  Swap -21 and -22
  List after swap: [-99, -53, -22, -21, -95, -7, 80, 51, 81, 92]
  Compare -21 and -95
  Swap -21 and -95
  List after swap: [-99, -53, -22, -95, -21, -7, 80, 51, 81, 92]
  Compare -21 and -7
  No swap needed
  Compare -7 and 80
  No swap needed
  Compare 80 and 51
  Swap 80 and 51
  List after swap: [-99, -53, -22, -95, -21, -7, 51, 80, 81, 92]
  Compare 80 and 81
  No swap needed

Pass 3:
  Compare -99 and -53
  No swap needed
  Compare -53 and -22
  No swap needed
  Compare -22 and -95
  Swap -22 and -95
  List after swap: [-99, -53, -95, -22, -21, -7, 51, 80, 81, 92]
  Compare -22 and -21
  No swap needed
  Compare -21 and -7
  No swap needed
  Compare -7 and 51
  No swap needed
  Compare 51 and 80
  No swap needed

Pass 4:
  Compare -99 and -53
  No swap needed
  Compare -53 and -95
  Swap -53 and -95
  List after swap: [-99, -95, -53, -22, -21, -7, 51, 80, 81, 92]
  Compare -53 and -22
  No swap needed
  Compare -22 and -21
  No swap needed
  Compare -21 and -7
  No swap needed
  Compare -7 and 51
  No swap needed

Pass 5:
  Compare -99 and -95
  No swap needed
  Compare -95 and -53
  No swap needed
  Compare -53 and -22
  No swap needed
  Compare -22 and -21
  No swap needed
  Compare -21 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -95, -53, -22, -21, -7, 51, 80, 81, 92]
</think>

<response>-99, -95, -53, -22, -21, -7, 51, 80, 81, 92</response>


input: Using the bubble sort method, sort -20, -80, -100, 49 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-20, -80, -100, 49]

Pass 1:
  Compare -20 and -80
  Swap -20 and -80
  List after swap: [-80, -20, -100, 49]
  Compare -20 and -100
  Swap -20 and -100
  List after swap: [-80, -100, -20, 49]
  Compare -20 and 49
  No swap needed

Pass 2:
  Compare -80 and -100
  Swap -80 and -100
  List after swap: [-100, -80, -20, 49]
  Compare -80 and -20
  No swap needed

Pass 3:
  Compare -100 and -80
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -80, -20, 49]
</think>

<response>-100, -80, -20, 49</response>


input: Perform a bubble sort on the integers -79, 60, -82, -6, 76, 63, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-79, 60, -82, -6, 76, 63]

Pass 1:
  Compare -79 and 60
  No swap needed
  Compare 60 and -82
  Swap 60 and -82
  List after swap: [-79, -82, 60, -6, 76, 63]
  Compare 60 and -6
  Swap 60 and -6
  List after swap: [-79, -82, -6, 60, 76, 63]
  Compare 60 and 76
  No swap needed
  Compare 76 and 63
  Swap 76 and 63
  List after swap: [-79, -82, -6, 60, 63, 76]

Pass 2:
  Compare -79 and -82
  Swap -79 and -82
  List after swap: [-82, -79, -6, 60, 63, 76]
  Compare -79 and -6
  No swap needed
  Compare -6 and 60
  No swap needed
  Compare 60 and 63
  No swap needed

Pass 3:
  Compare -82 and -79
  No swap needed
  Compare -79 and -6
  No swap needed
  Compare -6 and 60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -79, -6, 60, 63, 76]
</think>

<response>-82, -79, -6, 60, 63, 76</response>


input: Sort these integers 56, 50, 89, 91, -15 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [56, 50, 89, 91, -15]

Pass 1:
  Compare 56 and 50
  Swap 56 and 50
  List after swap: [50, 56, 89, 91, -15]
  Compare 56 and 89
  No swap needed
  Compare 89 and 91
  No swap needed
  Compare 91 and -15
  Swap 91 and -15
  List after swap: [50, 56, 89, -15, 91]

Pass 2:
  Compare 50 and 56
  No swap needed
  Compare 56 and 89
  No swap needed
  Compare 89 and -15
  Swap 89 and -15
  List after swap: [50, 56, -15, 89, 91]

Pass 3:
  Compare 50 and 56
  No swap needed
  Compare 56 and -15
  Swap 56 and -15
  List after swap: [50, -15, 56, 89, 91]

Pass 4:
  Compare 50 and -15
  Swap 50 and -15
  List after swap: [-15, 50, 56, 89, 91]

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

Final sorted list: [-15, 50, 56, 89, 91]
</think>

<response>-15, 50, 56, 89, 91</response>


input: Use the bubble sort technique to reorder -65, 22, -44, 28, 89 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-65, 22, -44, 28, 89]

Pass 1:
  Compare -65 and 22
  No swap needed
  Compare 22 and -44
  Swap 22 and -44
  List after swap: [-65, -44, 22, 28, 89]
  Compare 22 and 28
  No swap needed
  Compare 28 and 89
  No swap needed

Pass 2:
  Compare -65 and -44
  No swap needed
  Compare -44 and 22
  No swap needed
  Compare 22 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -44, 22, 28, 89]
</think>

<response>-65, -44, 22, 28, 89</response>


input: Carry out the bubble sort algorithm on -7, 10, 38, -51, -6 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-7, 10, 38, -51, -6]

Pass 1:
  Compare -7 and 10
  No swap needed
  Compare 10 and 38
  No swap needed
  Compare 38 and -51
  Swap 38 and -51
  List after swap: [-7, 10, -51, 38, -6]
  Compare 38 and -6
  Swap 38 and -6
  List after swap: [-7, 10, -51, -6, 38]

Pass 2:
  Compare -7 and 10
  No swap needed
  Compare 10 and -51
  Swap 10 and -51
  List after swap: [-7, -51, 10, -6, 38]
  Compare 10 and -6
  Swap 10 and -6
  List after swap: [-7, -51, -6, 10, 38]

Pass 3:
  Compare -7 and -51
  Swap -7 and -51
  List after swap: [-51, -7, -6, 10, 38]
  Compare -7 and -6
  No swap needed

Pass 4:
  Compare -51 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-51, -7, -6, 10, 38]
</think>

<response>-51, -7, -6, 10, 38</response>


input: Demonstrate how bubble sort orders the integers 96, 3, -34, -91 in ascending sequence, showing all steps.

output:
<think>
Initial list: [96, 3, -34, -91]

Pass 1:
  Compare 96 and 3
  Swap 96 and 3
  List after swap: [3, 96, -34, -91]
  Compare 96 and -34
  Swap 96 and -34
  List after swap: [3, -34, 96, -91]
  Compare 96 and -91
  Swap 96 and -91
  List after swap: [3, -34, -91, 96]

Pass 2:
  Compare 3 and -34
  Swap 3 and -34
  List after swap: [-34, 3, -91, 96]
  Compare 3 and -91
  Swap 3 and -91
  List after swap: [-34, -91, 3, 96]

Pass 3:
  Compare -34 and -91
  Swap -34 and -91
  List after swap: [-91, -34, 3, 96]

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

Final sorted list: [-91, -34, 3, 96]
</think>

<response>-91, -34, 3, 96</response>


input: Use the bubble sort technique to reorder -55, 26, 16, 25, 48, -47, -2, 2, 75 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-55, 26, 16, 25, 48, -47, -2, 2, 75]

Pass 1:
  Compare -55 and 26
  No swap needed
  Compare 26 and 16
  Swap 26 and 16
  List after swap: [-55, 16, 26, 25, 48, -47, -2, 2, 75]
  Compare 26 and 25
  Swap 26 and 25
  List after swap: [-55, 16, 25, 26, 48, -47, -2, 2, 75]
  Compare 26 and 48
  No swap needed
  Compare 48 and -47
  Swap 48 and -47
  List after swap: [-55, 16, 25, 26, -47, 48, -2, 2, 75]
  Compare 48 and -2
  Swap 48 and -2
  List after swap: [-55, 16, 25, 26, -47, -2, 48, 2, 75]
  Compare 48 and 2
  Swap 48 and 2
  List after swap: [-55, 16, 25, 26, -47, -2, 2, 48, 75]
  Compare 48 and 75
  No swap needed

Pass 2:
  Compare -55 and 16
  No swap needed
  Compare 16 and 25
  No swap needed
  Compare 25 and 26
  No swap needed
  Compare 26 and -47
  Swap 26 and -47
  List after swap: [-55, 16, 25, -47, 26, -2, 2, 48, 75]
  Compare 26 and -2
  Swap 26 and -2
  List after swap: [-55, 16, 25, -47, -2, 26, 2, 48, 75]
  Compare 26 and 2
  Swap 26 and 2
  List after swap: [-55, 16, 25, -47, -2, 2, 26, 48, 75]
  Compare 26 and 48
  No swap needed

Pass 3:
  Compare -55 and 16
  No swap needed
  Compare 16 and 25
  No swap needed
  Compare 25 and -47
  Swap 25 and -47
  List after swap: [-55, 16, -47, 25, -2, 2, 26, 48, 75]
  Compare 25 and -2
  Swap 25 and -2
  List after swap: [-55, 16, -47, -2, 25, 2, 26, 48, 75]
  Compare 25 and 2
  Swap 25 and 2
  List after swap: [-55, 16, -47, -2, 2, 25, 26, 48, 75]
  Compare 25 and 26
  No swap needed

Pass 4:
  Compare -55 and 16
  No swap needed
  Compare 16 and -47
  Swap 16 and -47
  List after swap: [-55, -47, 16, -2, 2, 25, 26, 48, 75]
  Compare 16 and -2
  Swap 16 and -2
  List after swap: [-55, -47, -2, 16, 2, 25, 26, 48, 75]
  Compare 16 and 2
  Swap 16 and 2
  List after swap: [-55, -47, -2, 2, 16, 25, 26, 48, 75]
  Compare 16 and 25
  No swap needed

Pass 5:
  Compare -55 and -47
  No swap needed
  Compare -47 and -2
  No swap needed
  Compare -2 and 2
  No swap needed
  Compare 2 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, -47, -2, 2, 16, 25, 26, 48, 75]
</think>

<response>-55, -47, -2, 2, 16, 25, 26, 48, 75</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 16, 81, -94.

output:
<think>
Initial list: [16, 81, -94]

Pass 1:
  Compare 16 and 81
  No swap needed
  Compare 81 and -94
  Swap 81 and -94
  List after swap: [16, -94, 81]

Pass 2:
  Compare 16 and -94
  Swap 16 and -94
  List after swap: [-94, 16, 81]

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

Final sorted list: [-94, 16, 81]
</think>

<response>-94, 16, 81</response>


input: Implement bubble sort on -54, 85, 44, 41, -31, -95, -50, -92, -98 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-54, 85, 44, 41, -31, -95, -50, -92, -98]

Pass 1:
  Compare -54 and 85
  No swap needed
  Compare 85 and 44
  Swap 85 and 44
  List after swap: [-54, 44, 85, 41, -31, -95, -50, -92, -98]
  Compare 85 and 41
  Swap 85 and 41
  List after swap: [-54, 44, 41, 85, -31, -95, -50, -92, -98]
  Compare 85 and -31
  Swap 85 and -31
  List after swap: [-54, 44, 41, -31, 85, -95, -50, -92, -98]
  Compare 85 and -95
  Swap 85 and -95
  List after swap: [-54, 44, 41, -31, -95, 85, -50, -92, -98]
  Compare 85 and -50
  Swap 85 and -50
  List after swap: [-54, 44, 41, -31, -95, -50, 85, -92, -98]
  Compare 85 and -92
  Swap 85 and -92
  List after swap: [-54, 44, 41, -31, -95, -50, -92, 85, -98]
  Compare 85 and -98
  Swap 85 and -98
  List after swap: [-54, 44, 41, -31, -95, -50, -92, -98, 85]

Pass 2:
  Compare -54 and 44
  No swap needed
  Compare 44 and 41
  Swap 44 and 41
  List after swap: [-54, 41, 44, -31, -95, -50, -92, -98, 85]
  Compare 44 and -31
  Swap 44 and -31
  List after swap: [-54, 41, -31, 44, -95, -50, -92, -98, 85]
  Compare 44 and -95
  Swap 44 and -95
  List after swap: [-54, 41, -31, -95, 44, -50, -92, -98, 85]
  Compare 44 and -50
  Swap 44 and -50
  List after swap: [-54, 41, -31, -95, -50, 44, -92, -98, 85]
  Compare 44 and -92
  Swap 44 and -92
  List after swap: [-54, 41, -31, -95, -50, -92, 44, -98, 85]
  Compare 44 and -98
  Swap 44 and -98
  List after swap: [-54, 41, -31, -95, -50, -92, -98, 44, 85]

Pass 3:
  Compare -54 and 41
  No swap needed
  Compare 41 and -31
  Swap 41 and -31
  List after swap: [-54, -31, 41, -95, -50, -92, -98, 44, 85]
  Compare 41 and -95
  Swap 41 and -95
  List after swap: [-54, -31, -95, 41, -50, -92, -98, 44, 85]
  Compare 41 and -50
  Swap 41 and -50
  List after swap: [-54, -31, -95, -50, 41, -92, -98, 44, 85]
  Compare 41 and -92
  Swap 41 and -92
  List after swap: [-54, -31, -95, -50, -92, 41, -98, 44, 85]
  Compare 41 and -98
  Swap 41 and -98
  List after swap: [-54, -31, -95, -50, -92, -98, 41, 44, 85]

Pass 4:
  Compare -54 and -31
  No swap needed
  Compare -31 and -95
  Swap -31 and -95
  List after swap: [-54, -95, -31, -50, -92, -98, 41, 44, 85]
  Compare -31 and -50
  Swap -31 and -50
  List after swap: [-54, -95, -50, -31, -92, -98, 41, 44, 85]
  Compare -31 and -92
  Swap -31 and -92
  List after swap: [-54, -95, -50, -92, -31, -98, 41, 44, 85]
  Compare -31 and -98
  Swap -31 and -98
  List after swap: [-54, -95, -50, -92, -98, -31, 41, 44, 85]

Pass 5:
  Compare -54 and -95
  Swap -54 and -95
  List after swap: [-95, -54, -50, -92, -98, -31, 41, 44, 85]
  Compare -54 and -50
  No swap needed
  Compare -50 and -92
  Swap -50 and -92
  List after swap: [-95, -54, -92, -50, -98, -31, 41, 44, 85]
  Compare -50 and -98
  Swap -50 and -98
  List after swap: [-95, -54, -92, -98, -50, -31, 41, 44, 85]

Pass 6:
  Compare -95 and -54
  No swap needed
  Compare -54 and -92
  Swap -54 and -92
  List after swap: [-95, -92, -54, -98, -50, -31, 41, 44, 85]
  Compare -54 and -98
  Swap -54 and -98
  List after swap: [-95, -92, -98, -54, -50, -31, 41, 44, 85]

Pass 7:
  Compare -95 and -92
  No swap needed
  Compare -92 and -98
  Swap -92 and -98
  List after swap: [-95, -98, -92, -54, -50, -31, 41, 44, 85]

Pass 8:
  Compare -95 and -98
  Swap -95 and -98
  List after swap: [-98, -95, -92, -54, -50, -31, 41, 44, 85]

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

Final sorted list: [-98, -95, -92, -54, -50, -31, 41, 44, 85]
</think>

<response>-98, -95, -92, -54, -50, -31, 41, 44, 85</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -77, -60, -61, 41, -10, -29, 15.

output:
<think>
Initial list: [-77, -60, -61, 41, -10, -29, 15]

Pass 1:
  Compare -77 and -60
  No swap needed
  Compare -60 and -61
  Swap -60 and -61
  List after swap: [-77, -61, -60, 41, -10, -29, 15]
  Compare -60 and 41
  No swap needed
  Compare 41 and -10
  Swap 41 and -10
  List after swap: [-77, -61, -60, -10, 41, -29, 15]
  Compare 41 and -29
  Swap 41 and -29
  List after swap: [-77, -61, -60, -10, -29, 41, 15]
  Compare 41 and 15
  Swap 41 and 15
  List after swap: [-77, -61, -60, -10, -29, 15, 41]

Pass 2:
  Compare -77 and -61
  No swap needed
  Compare -61 and -60
  No swap needed
  Compare -60 and -10
  No swap needed
  Compare -10 and -29
  Swap -10 and -29
  List after swap: [-77, -61, -60, -29, -10, 15, 41]
  Compare -10 and 15
  No swap needed

Pass 3:
  Compare -77 and -61
  No swap needed
  Compare -61 and -60
  No swap needed
  Compare -60 and -29
  No swap needed
  Compare -29 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -61, -60, -29, -10, 15, 41]
</think>

<response>-77, -61, -60, -29, -10, 15, 41</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -91, -31, 15.

output:
<think>
Initial list: [-91, -31, 15]

Pass 1:
  Compare -91 and -31
  No swap needed
  Compare -31 and 15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -31, 15]
</think>

<response>-91, -31, 15</response>


input: Demonstrate how bubble sort orders the integers -57, 39, -36, -93, 57, -18, -86, -4 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-57, 39, -36, -93, 57, -18, -86, -4]

Pass 1:
  Compare -57 and 39
  No swap needed
  Compare 39 and -36
  Swap 39 and -36
  List after swap: [-57, -36, 39, -93, 57, -18, -86, -4]
  Compare 39 and -93
  Swap 39 and -93
  List after swap: [-57, -36, -93, 39, 57, -18, -86, -4]
  Compare 39 and 57
  No swap needed
  Compare 57 and -18
  Swap 57 and -18
  List after swap: [-57, -36, -93, 39, -18, 57, -86, -4]
  Compare 57 and -86
  Swap 57 and -86
  List after swap: [-57, -36, -93, 39, -18, -86, 57, -4]
  Compare 57 and -4
  Swap 57 and -4
  List after swap: [-57, -36, -93, 39, -18, -86, -4, 57]

Pass 2:
  Compare -57 and -36
  No swap needed
  Compare -36 and -93
  Swap -36 and -93
  List after swap: [-57, -93, -36, 39, -18, -86, -4, 57]
  Compare -36 and 39
  No swap needed
  Compare 39 and -18
  Swap 39 and -18
  List after swap: [-57, -93, -36, -18, 39, -86, -4, 57]
  Compare 39 and -86
  Swap 39 and -86
  List after swap: [-57, -93, -36, -18, -86, 39, -4, 57]
  Compare 39 and -4
  Swap 39 and -4
  List after swap: [-57, -93, -36, -18, -86, -4, 39, 57]

Pass 3:
  Compare -57 and -93
  Swap -57 and -93
  List after swap: [-93, -57, -36, -18, -86, -4, 39, 57]
  Compare -57 and -36
  No swap needed
  Compare -36 and -18
  No swap needed
  Compare -18 and -86
  Swap -18 and -86
  List after swap: [-93, -57, -36, -86, -18, -4, 39, 57]
  Compare -18 and -4
  No swap needed

Pass 4:
  Compare -93 and -57
  No swap needed
  Compare -57 and -36
  No swap needed
  Compare -36 and -86
  Swap -36 and -86
  List after swap: [-93, -57, -86, -36, -18, -4, 39, 57]
  Compare -36 and -18
  No swap needed

Pass 5:
  Compare -93 and -57
  No swap needed
  Compare -57 and -86
  Swap -57 and -86
  List after swap: [-93, -86, -57, -36, -18, -4, 39, 57]
  Compare -57 and -36
  No swap needed

Pass 6:
  Compare -93 and -86
  No swap needed
  Compare -86 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -86, -57, -36, -18, -4, 39, 57]
</think>

<response>-93, -86, -57, -36, -18, -4, 39, 57</response>


input: Perform a bubble sort on the integers -95, 15, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-95, 15]

Pass 1:
  Compare -95 and 15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, 15]
</think>

<response>-95, 15</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 28, 1, -44, 74, -45, 68, 79, 6, -98, 57.

output:
<think>
Initial list: [28, 1, -44, 74, -45, 68, 79, 6, -98, 57]

Pass 1:
  Compare 28 and 1
  Swap 28 and 1
  List after swap: [1, 28, -44, 74, -45, 68, 79, 6, -98, 57]
  Compare 28 and -44
  Swap 28 and -44
  List after swap: [1, -44, 28, 74, -45, 68, 79, 6, -98, 57]
  Compare 28 and 74
  No swap needed
  Compare 74 and -45
  Swap 74 and -45
  List after swap: [1, -44, 28, -45, 74, 68, 79, 6, -98, 57]
  Compare 74 and 68
  Swap 74 and 68
  List after swap: [1, -44, 28, -45, 68, 74, 79, 6, -98, 57]
  Compare 74 and 79
  No swap needed
  Compare 79 and 6
  Swap 79 and 6
  List after swap: [1, -44, 28, -45, 68, 74, 6, 79, -98, 57]
  Compare 79 and -98
  Swap 79 and -98
  List after swap: [1, -44, 28, -45, 68, 74, 6, -98, 79, 57]
  Compare 79 and 57
  Swap 79 and 57
  List after swap: [1, -44, 28, -45, 68, 74, 6, -98, 57, 79]

Pass 2:
  Compare 1 and -44
  Swap 1 and -44
  List after swap: [-44, 1, 28, -45, 68, 74, 6, -98, 57, 79]
  Compare 1 and 28
  No swap needed
  Compare 28 and -45
  Swap 28 and -45
  List after swap: [-44, 1, -45, 28, 68, 74, 6, -98, 57, 79]
  Compare 28 and 68
  No swap needed
  Compare 68 and 74
  No swap needed
  Compare 74 and 6
  Swap 74 and 6
  List after swap: [-44, 1, -45, 28, 68, 6, 74, -98, 57, 79]
  Compare 74 and -98
  Swap 74 and -98
  List after swap: [-44, 1, -45, 28, 68, 6, -98, 74, 57, 79]
  Compare 74 and 57
  Swap 74 and 57
  List after swap: [-44, 1, -45, 28, 68, 6, -98, 57, 74, 79]

Pass 3:
  Compare -44 and 1
  No swap needed
  Compare 1 and -45
  Swap 1 and -45
  List after swap: [-44, -45, 1, 28, 68, 6, -98, 57, 74, 79]
  Compare 1 and 28
  No swap needed
  Compare 28 and 68
  No swap needed
  Compare 68 and 6
  Swap 68 and 6
  List after swap: [-44, -45, 1, 28, 6, 68, -98, 57, 74, 79]
  Compare 68 and -98
  Swap 68 and -98
  List after swap: [-44, -45, 1, 28, 6, -98, 68, 57, 74, 79]
  Compare 68 and 57
  Swap 68 and 57
  List after swap: [-44, -45, 1, 28, 6, -98, 57, 68, 74, 79]

Pass 4:
  Compare -44 and -45
  Swap -44 and -45
  List after swap: [-45, -44, 1, 28, 6, -98, 57, 68, 74, 79]
  Compare -44 and 1
  No swap needed
  Compare 1 and 28
  No swap needed
  Compare 28 and 6
  Swap 28 and 6
  List after swap: [-45, -44, 1, 6, 28, -98, 57, 68, 74, 79]
  Compare 28 and -98
  Swap 28 and -98
  List after swap: [-45, -44, 1, 6, -98, 28, 57, 68, 74, 79]
  Compare 28 and 57
  No swap needed

Pass 5:
  Compare -45 and -44
  No swap needed
  Compare -44 and 1
  No swap needed
  Compare 1 and 6
  No swap needed
  Compare 6 and -98
  Swap 6 and -98
  List after swap: [-45, -44, 1, -98, 6, 28, 57, 68, 74, 79]
  Compare 6 and 28
  No swap needed

Pass 6:
  Compare -45 and -44
  No swap needed
  Compare -44 and 1
  No swap needed
  Compare 1 and -98
  Swap 1 and -98
  List after swap: [-45, -44, -98, 1, 6, 28, 57, 68, 74, 79]
  Compare 1 and 6
  No swap needed

Pass 7:
  Compare -45 and -44
  No swap needed
  Compare -44 and -98
  Swap -44 and -98
  List after swap: [-45, -98, -44, 1, 6, 28, 57, 68, 74, 79]
  Compare -44 and 1
  No swap needed

Pass 8:
  Compare -45 and -98
  Swap -45 and -98
  List after swap: [-98, -45, -44, 1, 6, 28, 57, 68, 74, 79]
  Compare -45 and -44
  No swap needed

Pass 9:
  Compare -98 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -45, -44, 1, 6, 28, 57, 68, 74, 79]
</think>

<response>-98, -45, -44, 1, 6, 28, 57, 68, 74, 79</response>


input: Execute bubble sort to sort -65, -4, -81, 91, 49, -87, 25 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-65, -4, -81, 91, 49, -87, 25]

Pass 1:
  Compare -65 and -4
  No swap needed
  Compare -4 and -81
  Swap -4 and -81
  List after swap: [-65, -81, -4, 91, 49, -87, 25]
  Compare -4 and 91
  No swap needed
  Compare 91 and 49
  Swap 91 and 49
  List after swap: [-65, -81, -4, 49, 91, -87, 25]
  Compare 91 and -87
  Swap 91 and -87
  List after swap: [-65, -81, -4, 49, -87, 91, 25]
  Compare 91 and 25
  Swap 91 and 25
  List after swap: [-65, -81, -4, 49, -87, 25, 91]

Pass 2:
  Compare -65 and -81
  Swap -65 and -81
  List after swap: [-81, -65, -4, 49, -87, 25, 91]
  Compare -65 and -4
  No swap needed
  Compare -4 and 49
  No swap needed
  Compare 49 and -87
  Swap 49 and -87
  List after swap: [-81, -65, -4, -87, 49, 25, 91]
  Compare 49 and 25
  Swap 49 and 25
  List after swap: [-81, -65, -4, -87, 25, 49, 91]

Pass 3:
  Compare -81 and -65
  No swap needed
  Compare -65 and -4
  No swap needed
  Compare -4 and -87
  Swap -4 and -87
  List after swap: [-81, -65, -87, -4, 25, 49, 91]
  Compare -4 and 25
  No swap needed

Pass 4:
  Compare -81 and -65
  No swap needed
  Compare -65 and -87
  Swap -65 and -87
  List after swap: [-81, -87, -65, -4, 25, 49, 91]
  Compare -65 and -4
  No swap needed

Pass 5:
  Compare -81 and -87
  Swap -81 and -87
  List after swap: [-87, -81, -65, -4, 25, 49, 91]
  Compare -81 and -65
  No swap needed

Pass 6:
  Compare -87 and -81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -81, -65, -4, 25, 49, 91]
</think>

<response>-87, -81, -65, -4, 25, 49, 91</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -15, -82, 3, 44, 18, 71, 16, -6, -59.

output:
<think>
Initial list: [-15, -82, 3, 44, 18, 71, 16, -6, -59]

Pass 1:
  Compare -15 and -82
  Swap -15 and -82
  List after swap: [-82, -15, 3, 44, 18, 71, 16, -6, -59]
  Compare -15 and 3
  No swap needed
  Compare 3 and 44
  No swap needed
  Compare 44 and 18
  Swap 44 and 18
  List after swap: [-82, -15, 3, 18, 44, 71, 16, -6, -59]
  Compare 44 and 71
  No swap needed
  Compare 71 and 16
  Swap 71 and 16
  List after swap: [-82, -15, 3, 18, 44, 16, 71, -6, -59]
  Compare 71 and -6
  Swap 71 and -6
  List after swap: [-82, -15, 3, 18, 44, 16, -6, 71, -59]
  Compare 71 and -59
  Swap 71 and -59
  List after swap: [-82, -15, 3, 18, 44, 16, -6, -59, 71]

Pass 2:
  Compare -82 and -15
  No swap needed
  Compare -15 and 3
  No swap needed
  Compare 3 and 18
  No swap needed
  Compare 18 and 44
  No swap needed
  Compare 44 and 16
  Swap 44 and 16
  List after swap: [-82, -15, 3, 18, 16, 44, -6, -59, 71]
  Compare 44 and -6
  Swap 44 and -6
  List after swap: [-82, -15, 3, 18, 16, -6, 44, -59, 71]
  Compare 44 and -59
  Swap 44 and -59
  List after swap: [-82, -15, 3, 18, 16, -6, -59, 44, 71]

Pass 3:
  Compare -82 and -15
  No swap needed
  Compare -15 and 3
  No swap needed
  Compare 3 and 18
  No swap needed
  Compare 18 and 16
  Swap 18 and 16
  List after swap: [-82, -15, 3, 16, 18, -6, -59, 44, 71]
  Compare 18 and -6
  Swap 18 and -6
  List after swap: [-82, -15, 3, 16, -6, 18, -59, 44, 71]
  Compare 18 and -59
  Swap 18 and -59
  List after swap: [-82, -15, 3, 16, -6, -59, 18, 44, 71]

Pass 4:
  Compare -82 and -15
  No swap needed
  Compare -15 and 3
  No swap needed
  Compare 3 and 16
  No swap needed
  Compare 16 and -6
  Swap 16 and -6
  List after swap: [-82, -15, 3, -6, 16, -59, 18, 44, 71]
  Compare 16 and -59
  Swap 16 and -59
  List after swap: [-82, -15, 3, -6, -59, 16, 18, 44, 71]

Pass 5:
  Compare -82 and -15
  No swap needed
  Compare -15 and 3
  No swap needed
  Compare 3 and -6
  Swap 3 and -6
  List after swap: [-82, -15, -6, 3, -59, 16, 18, 44, 71]
  Compare 3 and -59
  Swap 3 and -59
  List after swap: [-82, -15, -6, -59, 3, 16, 18, 44, 71]

Pass 6:
  Compare -82 and -15
  No swap needed
  Compare -15 and -6
  No swap needed
  Compare -6 and -59
  Swap -6 and -59
  List after swap: [-82, -15, -59, -6, 3, 16, 18, 44, 71]

Pass 7:
  Compare -82 and -15
  No swap needed
  Compare -15 and -59
  Swap -15 and -59
  List after swap: [-82, -59, -15, -6, 3, 16, 18, 44, 71]

Pass 8:
  Compare -82 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -59, -15, -6, 3, 16, 18, 44, 71]
</think>

<response>-82, -59, -15, -6, 3, 16, 18, 44, 71</response>


input: Demonstrate how bubble sort orders the integers -29, 44, -100, -15 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-29, 44, -100, -15]

Pass 1:
  Compare -29 and 44
  No swap needed
  Compare 44 and -100
  Swap 44 and -100
  List after swap: [-29, -100, 44, -15]
  Compare 44 and -15
  Swap 44 and -15
  List after swap: [-29, -100, -15, 44]

Pass 2:
  Compare -29 and -100
  Swap -29 and -100
  List after swap: [-100, -29, -15, 44]
  Compare -29 and -15
  No swap needed

Pass 3:
  Compare -100 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -29, -15, 44]
</think>

<response>-100, -29, -15, 44</response>


input: Use the bubble sort technique to reorder 27, 6, 1, -77, -33, -94, -14, 68, 69 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [27, 6, 1, -77, -33, -94, -14, 68, 69]

Pass 1:
  Compare 27 and 6
  Swap 27 and 6
  List after swap: [6, 27, 1, -77, -33, -94, -14, 68, 69]
  Compare 27 and 1
  Swap 27 and 1
  List after swap: [6, 1, 27, -77, -33, -94, -14, 68, 69]
  Compare 27 and -77
  Swap 27 and -77
  List after swap: [6, 1, -77, 27, -33, -94, -14, 68, 69]
  Compare 27 and -33
  Swap 27 and -33
  List after swap: [6, 1, -77, -33, 27, -94, -14, 68, 69]
  Compare 27 and -94
  Swap 27 and -94
  List after swap: [6, 1, -77, -33, -94, 27, -14, 68, 69]
  Compare 27 and -14
  Swap 27 and -14
  List after swap: [6, 1, -77, -33, -94, -14, 27, 68, 69]
  Compare 27 and 68
  No swap needed
  Compare 68 and 69
  No swap needed

Pass 2:
  Compare 6 and 1
  Swap 6 and 1
  List after swap: [1, 6, -77, -33, -94, -14, 27, 68, 69]
  Compare 6 and -77
  Swap 6 and -77
  List after swap: [1, -77, 6, -33, -94, -14, 27, 68, 69]
  Compare 6 and -33
  Swap 6 and -33
  List after swap: [1, -77, -33, 6, -94, -14, 27, 68, 69]
  Compare 6 and -94
  Swap 6 and -94
  List after swap: [1, -77, -33, -94, 6, -14, 27, 68, 69]
  Compare 6 and -14
  Swap 6 and -14
  List after swap: [1, -77, -33, -94, -14, 6, 27, 68, 69]
  Compare 6 and 27
  No swap needed
  Compare 27 and 68
  No swap needed

Pass 3:
  Compare 1 and -77
  Swap 1 and -77
  List after swap: [-77, 1, -33, -94, -14, 6, 27, 68, 69]
  Compare 1 and -33
  Swap 1 and -33
  List after swap: [-77, -33, 1, -94, -14, 6, 27, 68, 69]
  Compare 1 and -94
  Swap 1 and -94
  List after swap: [-77, -33, -94, 1, -14, 6, 27, 68, 69]
  Compare 1 and -14
  Swap 1 and -14
  List after swap: [-77, -33, -94, -14, 1, 6, 27, 68, 69]
  Compare 1 and 6
  No swap needed
  Compare 6 and 27
  No swap needed

Pass 4:
  Compare -77 and -33
  No swap needed
  Compare -33 and -94
  Swap -33 and -94
  List after swap: [-77, -94, -33, -14, 1, 6, 27, 68, 69]
  Compare -33 and -14
  No swap needed
  Compare -14 and 1
  No swap needed
  Compare 1 and 6
  No swap needed

Pass 5:
  Compare -77 and -94
  Swap -77 and -94
  List after swap: [-94, -77, -33, -14, 1, 6, 27, 68, 69]
  Compare -77 and -33
  No swap needed
  Compare -33 and -14
  No swap needed
  Compare -14 and 1
  No swap needed

Pass 6:
  Compare -94 and -77
  No swap needed
  Compare -77 and -33
  No swap needed
  Compare -33 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -77, -33, -14, 1, 6, 27, 68, 69]
</think>

<response>-94, -77, -33, -14, 1, 6, 27, 68, 69</response>


input: Execute bubble sort to sort -69, 18, -7 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-69, 18, -7]

Pass 1:
  Compare -69 and 18
  No swap needed
  Compare 18 and -7
  Swap 18 and -7
  List after swap: [-69, -7, 18]

Pass 2:
  Compare -69 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -7, 18]
</think>

<response>-69, -7, 18</response>


input: Execute bubble sort to sort 51, 56, 48, -85, 46, -51, 89, -54 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [51, 56, 48, -85, 46, -51, 89, -54]

Pass 1:
  Compare 51 and 56
  No swap needed
  Compare 56 and 48
  Swap 56 and 48
  List after swap: [51, 48, 56, -85, 46, -51, 89, -54]
  Compare 56 and -85
  Swap 56 and -85
  List after swap: [51, 48, -85, 56, 46, -51, 89, -54]
  Compare 56 and 46
  Swap 56 and 46
  List after swap: [51, 48, -85, 46, 56, -51, 89, -54]
  Compare 56 and -51
  Swap 56 and -51
  List after swap: [51, 48, -85, 46, -51, 56, 89, -54]
  Compare 56 and 89
  No swap needed
  Compare 89 and -54
  Swap 89 and -54
  List after swap: [51, 48, -85, 46, -51, 56, -54, 89]

Pass 2:
  Compare 51 and 48
  Swap 51 and 48
  List after swap: [48, 51, -85, 46, -51, 56, -54, 89]
  Compare 51 and -85
  Swap 51 and -85
  List after swap: [48, -85, 51, 46, -51, 56, -54, 89]
  Compare 51 and 46
  Swap 51 and 46
  List after swap: [48, -85, 46, 51, -51, 56, -54, 89]
  Compare 51 and -51
  Swap 51 and -51
  List after swap: [48, -85, 46, -51, 51, 56, -54, 89]
  Compare 51 and 56
  No swap needed
  Compare 56 and -54
  Swap 56 and -54
  List after swap: [48, -85, 46, -51, 51, -54, 56, 89]

Pass 3:
  Compare 48 and -85
  Swap 48 and -85
  List after swap: [-85, 48, 46, -51, 51, -54, 56, 89]
  Compare 48 and 46
  Swap 48 and 46
  List after swap: [-85, 46, 48, -51, 51, -54, 56, 89]
  Compare 48 and -51
  Swap 48 and -51
  List after swap: [-85, 46, -51, 48, 51, -54, 56, 89]
  Compare 48 and 51
  No swap needed
  Compare 51 and -54
  Swap 51 and -54
  List after swap: [-85, 46, -51, 48, -54, 51, 56, 89]

Pass 4:
  Compare -85 and 46
  No swap needed
  Compare 46 and -51
  Swap 46 and -51
  List after swap: [-85, -51, 46, 48, -54, 51, 56, 89]
  Compare 46 and 48
  No swap needed
  Compare 48 and -54
  Swap 48 and -54
  List after swap: [-85, -51, 46, -54, 48, 51, 56, 89]

Pass 5:
  Compare -85 and -51
  No swap needed
  Compare -51 and 46
  No swap needed
  Compare 46 and -54
  Swap 46 and -54
  List after swap: [-85, -51, -54, 46, 48, 51, 56, 89]

Pass 6:
  Compare -85 and -51
  No swap needed
  Compare -51 and -54
  Swap -51 and -54
  List after swap: [-85, -54, -51, 46, 48, 51, 56, 89]

Pass 7:
  Compare -85 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -54, -51, 46, 48, 51, 56, 89]
</think>

<response>-85, -54, -51, 46, 48, 51, 56, 89</response>