input: Sort these integers 51, -10, -54, -12, -60, -32, -56, 5, -17 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [51, -10, -54, -12, -60, -32, -56, 5, -17]

Pass 1:
  Compare 51 and -10
  Swap 51 and -10
  List after swap: [-10, 51, -54, -12, -60, -32, -56, 5, -17]
  Compare 51 and -54
  Swap 51 and -54
  List after swap: [-10, -54, 51, -12, -60, -32, -56, 5, -17]
  Compare 51 and -12
  Swap 51 and -12
  List after swap: [-10, -54, -12, 51, -60, -32, -56, 5, -17]
  Compare 51 and -60
  Swap 51 and -60
  List after swap: [-10, -54, -12, -60, 51, -32, -56, 5, -17]
  Compare 51 and -32
  Swap 51 and -32
  List after swap: [-10, -54, -12, -60, -32, 51, -56, 5, -17]
  Compare 51 and -56
  Swap 51 and -56
  List after swap: [-10, -54, -12, -60, -32, -56, 51, 5, -17]
  Compare 51 and 5
  Swap 51 and 5
  List after swap: [-10, -54, -12, -60, -32, -56, 5, 51, -17]
  Compare 51 and -17
  Swap 51 and -17
  List after swap: [-10, -54, -12, -60, -32, -56, 5, -17, 51]

Pass 2:
  Compare -10 and -54
  Swap -10 and -54
  List after swap: [-54, -10, -12, -60, -32, -56, 5, -17, 51]
  Compare -10 and -12
  Swap -10 and -12
  List after swap: [-54, -12, -10, -60, -32, -56, 5, -17, 51]
  Compare -10 and -60
  Swap -10 and -60
  List after swap: [-54, -12, -60, -10, -32, -56, 5, -17, 51]
  Compare -10 and -32
  Swap -10 and -32
  List after swap: [-54, -12, -60, -32, -10, -56, 5, -17, 51]
  Compare -10 and -56
  Swap -10 and -56
  List after swap: [-54, -12, -60, -32, -56, -10, 5, -17, 51]
  Compare -10 and 5
  No swap needed
  Compare 5 and -17
  Swap 5 and -17
  List after swap: [-54, -12, -60, -32, -56, -10, -17, 5, 51]

Pass 3:
  Compare -54 and -12
  No swap needed
  Compare -12 and -60
  Swap -12 and -60
  List after swap: [-54, -60, -12, -32, -56, -10, -17, 5, 51]
  Compare -12 and -32
  Swap -12 and -32
  List after swap: [-54, -60, -32, -12, -56, -10, -17, 5, 51]
  Compare -12 and -56
  Swap -12 and -56
  List after swap: [-54, -60, -32, -56, -12, -10, -17, 5, 51]
  Compare -12 and -10
  No swap needed
  Compare -10 and -17
  Swap -10 and -17
  List after swap: [-54, -60, -32, -56, -12, -17, -10, 5, 51]

Pass 4:
  Compare -54 and -60
  Swap -54 and -60
  List after swap: [-60, -54, -32, -56, -12, -17, -10, 5, 51]
  Compare -54 and -32
  No swap needed
  Compare -32 and -56
  Swap -32 and -56
  List after swap: [-60, -54, -56, -32, -12, -17, -10, 5, 51]
  Compare -32 and -12
  No swap needed
  Compare -12 and -17
  Swap -12 and -17
  List after swap: [-60, -54, -56, -32, -17, -12, -10, 5, 51]

Pass 5:
  Compare -60 and -54
  No swap needed
  Compare -54 and -56
  Swap -54 and -56
  List after swap: [-60, -56, -54, -32, -17, -12, -10, 5, 51]
  Compare -54 and -32
  No swap needed
  Compare -32 and -17
  No swap needed

Pass 6:
  Compare -60 and -56
  No swap needed
  Compare -56 and -54
  No swap needed
  Compare -54 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -56, -54, -32, -17, -12, -10, 5, 51]
</think>

<response>-60, -56, -54, -32, -17, -12, -10, 5, 51</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 36, 13, 15, -37, -90, -36.

output:
<think>
Initial list: [36, 13, 15, -37, -90, -36]

Pass 1:
  Compare 36 and 13
  Swap 36 and 13
  List after swap: [13, 36, 15, -37, -90, -36]
  Compare 36 and 15
  Swap 36 and 15
  List after swap: [13, 15, 36, -37, -90, -36]
  Compare 36 and -37
  Swap 36 and -37
  List after swap: [13, 15, -37, 36, -90, -36]
  Compare 36 and -90
  Swap 36 and -90
  List after swap: [13, 15, -37, -90, 36, -36]
  Compare 36 and -36
  Swap 36 and -36
  List after swap: [13, 15, -37, -90, -36, 36]

Pass 2:
  Compare 13 and 15
  No swap needed
  Compare 15 and -37
  Swap 15 and -37
  List after swap: [13, -37, 15, -90, -36, 36]
  Compare 15 and -90
  Swap 15 and -90
  List after swap: [13, -37, -90, 15, -36, 36]
  Compare 15 and -36
  Swap 15 and -36
  List after swap: [13, -37, -90, -36, 15, 36]

Pass 3:
  Compare 13 and -37
  Swap 13 and -37
  List after swap: [-37, 13, -90, -36, 15, 36]
  Compare 13 and -90
  Swap 13 and -90
  List after swap: [-37, -90, 13, -36, 15, 36]
  Compare 13 and -36
  Swap 13 and -36
  List after swap: [-37, -90, -36, 13, 15, 36]

Pass 4:
  Compare -37 and -90
  Swap -37 and -90
  List after swap: [-90, -37, -36, 13, 15, 36]
  Compare -37 and -36
  No swap needed

Pass 5:
  Compare -90 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -37, -36, 13, 15, 36]
</think>

<response>-90, -37, -36, 13, 15, 36</response>


input: Execute bubble sort to sort 30, -78, 59, -46 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [30, -78, 59, -46]

Pass 1:
  Compare 30 and -78
  Swap 30 and -78
  List after swap: [-78, 30, 59, -46]
  Compare 30 and 59
  No swap needed
  Compare 59 and -46
  Swap 59 and -46
  List after swap: [-78, 30, -46, 59]

Pass 2:
  Compare -78 and 30
  No swap needed
  Compare 30 and -46
  Swap 30 and -46
  List after swap: [-78, -46, 30, 59]

Pass 3:
  Compare -78 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -46, 30, 59]
</think>

<response>-78, -46, 30, 59</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -28, 42.

output:
<think>
Initial list: [-28, 42]

Pass 1:
  Compare -28 and 42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-28, 42]
</think>

<response>-28, 42</response>


input: Sort the list -30, 84, -86, -56, 53, -49, -77, -1 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-30, 84, -86, -56, 53, -49, -77, -1]

Pass 1:
  Compare -30 and 84
  No swap needed
  Compare 84 and -86
  Swap 84 and -86
  List after swap: [-30, -86, 84, -56, 53, -49, -77, -1]
  Compare 84 and -56
  Swap 84 and -56
  List after swap: [-30, -86, -56, 84, 53, -49, -77, -1]
  Compare 84 and 53
  Swap 84 and 53
  List after swap: [-30, -86, -56, 53, 84, -49, -77, -1]
  Compare 84 and -49
  Swap 84 and -49
  List after swap: [-30, -86, -56, 53, -49, 84, -77, -1]
  Compare 84 and -77
  Swap 84 and -77
  List after swap: [-30, -86, -56, 53, -49, -77, 84, -1]
  Compare 84 and -1
  Swap 84 and -1
  List after swap: [-30, -86, -56, 53, -49, -77, -1, 84]

Pass 2:
  Compare -30 and -86
  Swap -30 and -86
  List after swap: [-86, -30, -56, 53, -49, -77, -1, 84]
  Compare -30 and -56
  Swap -30 and -56
  List after swap: [-86, -56, -30, 53, -49, -77, -1, 84]
  Compare -30 and 53
  No swap needed
  Compare 53 and -49
  Swap 53 and -49
  List after swap: [-86, -56, -30, -49, 53, -77, -1, 84]
  Compare 53 and -77
  Swap 53 and -77
  List after swap: [-86, -56, -30, -49, -77, 53, -1, 84]
  Compare 53 and -1
  Swap 53 and -1
  List after swap: [-86, -56, -30, -49, -77, -1, 53, 84]

Pass 3:
  Compare -86 and -56
  No swap needed
  Compare -56 and -30
  No swap needed
  Compare -30 and -49
  Swap -30 and -49
  List after swap: [-86, -56, -49, -30, -77, -1, 53, 84]
  Compare -30 and -77
  Swap -30 and -77
  List after swap: [-86, -56, -49, -77, -30, -1, 53, 84]
  Compare -30 and -1
  No swap needed

Pass 4:
  Compare -86 and -56
  No swap needed
  Compare -56 and -49
  No swap needed
  Compare -49 and -77
  Swap -49 and -77
  List after swap: [-86, -56, -77, -49, -30, -1, 53, 84]
  Compare -49 and -30
  No swap needed

Pass 5:
  Compare -86 and -56
  No swap needed
  Compare -56 and -77
  Swap -56 and -77
  List after swap: [-86, -77, -56, -49, -30, -1, 53, 84]
  Compare -56 and -49
  No swap needed

Pass 6:
  Compare -86 and -77
  No swap needed
  Compare -77 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -77, -56, -49, -30, -1, 53, 84]
</think>

<response>-86, -77, -56, -49, -30, -1, 53, 84</response>


input: Arrange the numbers -64, 40, 44, -46 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-64, 40, 44, -46]

Pass 1:
  Compare -64 and 40
  No swap needed
  Compare 40 and 44
  No swap needed
  Compare 44 and -46
  Swap 44 and -46
  List after swap: [-64, 40, -46, 44]

Pass 2:
  Compare -64 and 40
  No swap needed
  Compare 40 and -46
  Swap 40 and -46
  List after swap: [-64, -46, 40, 44]

Pass 3:
  Compare -64 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -46, 40, 44]
</think>

<response>-64, -46, 40, 44</response>


input: Carry out the bubble sort algorithm on 64, -26, 79, -31, -69, 17, 44 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [64, -26, 79, -31, -69, 17, 44]

Pass 1:
  Compare 64 and -26
  Swap 64 and -26
  List after swap: [-26, 64, 79, -31, -69, 17, 44]
  Compare 64 and 79
  No swap needed
  Compare 79 and -31
  Swap 79 and -31
  List after swap: [-26, 64, -31, 79, -69, 17, 44]
  Compare 79 and -69
  Swap 79 and -69
  List after swap: [-26, 64, -31, -69, 79, 17, 44]
  Compare 79 and 17
  Swap 79 and 17
  List after swap: [-26, 64, -31, -69, 17, 79, 44]
  Compare 79 and 44
  Swap 79 and 44
  List after swap: [-26, 64, -31, -69, 17, 44, 79]

Pass 2:
  Compare -26 and 64
  No swap needed
  Compare 64 and -31
  Swap 64 and -31
  List after swap: [-26, -31, 64, -69, 17, 44, 79]
  Compare 64 and -69
  Swap 64 and -69
  List after swap: [-26, -31, -69, 64, 17, 44, 79]
  Compare 64 and 17
  Swap 64 and 17
  List after swap: [-26, -31, -69, 17, 64, 44, 79]
  Compare 64 and 44
  Swap 64 and 44
  List after swap: [-26, -31, -69, 17, 44, 64, 79]

Pass 3:
  Compare -26 and -31
  Swap -26 and -31
  List after swap: [-31, -26, -69, 17, 44, 64, 79]
  Compare -26 and -69
  Swap -26 and -69
  List after swap: [-31, -69, -26, 17, 44, 64, 79]
  Compare -26 and 17
  No swap needed
  Compare 17 and 44
  No swap needed

Pass 4:
  Compare -31 and -69
  Swap -31 and -69
  List after swap: [-69, -31, -26, 17, 44, 64, 79]
  Compare -31 and -26
  No swap needed
  Compare -26 and 17
  No swap needed

Pass 5:
  Compare -69 and -31
  No swap needed
  Compare -31 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -31, -26, 17, 44, 64, 79]
</think>

<response>-69, -31, -26, 17, 44, 64, 79</response>


input: Use the bubble sort technique to reorder 29, -78, -5, 50, 68, -20 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [29, -78, -5, 50, 68, -20]

Pass 1:
  Compare 29 and -78
  Swap 29 and -78
  List after swap: [-78, 29, -5, 50, 68, -20]
  Compare 29 and -5
  Swap 29 and -5
  List after swap: [-78, -5, 29, 50, 68, -20]
  Compare 29 and 50
  No swap needed
  Compare 50 and 68
  No swap needed
  Compare 68 and -20
  Swap 68 and -20
  List after swap: [-78, -5, 29, 50, -20, 68]

Pass 2:
  Compare -78 and -5
  No swap needed
  Compare -5 and 29
  No swap needed
  Compare 29 and 50
  No swap needed
  Compare 50 and -20
  Swap 50 and -20
  List after swap: [-78, -5, 29, -20, 50, 68]

Pass 3:
  Compare -78 and -5
  No swap needed
  Compare -5 and 29
  No swap needed
  Compare 29 and -20
  Swap 29 and -20
  List after swap: [-78, -5, -20, 29, 50, 68]

Pass 4:
  Compare -78 and -5
  No swap needed
  Compare -5 and -20
  Swap -5 and -20
  List after swap: [-78, -20, -5, 29, 50, 68]

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

Final sorted list: [-78, -20, -5, 29, 50, 68]
</think>

<response>-78, -20, -5, 29, 50, 68</response>


input: Use the bubble sort technique to reorder 26, 95, -21, -36, -70, -49, -52, -32, -53, -15 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [26, 95, -21, -36, -70, -49, -52, -32, -53, -15]

Pass 1:
  Compare 26 and 95
  No swap needed
  Compare 95 and -21
  Swap 95 and -21
  List after swap: [26, -21, 95, -36, -70, -49, -52, -32, -53, -15]
  Compare 95 and -36
  Swap 95 and -36
  List after swap: [26, -21, -36, 95, -70, -49, -52, -32, -53, -15]
  Compare 95 and -70
  Swap 95 and -70
  List after swap: [26, -21, -36, -70, 95, -49, -52, -32, -53, -15]
  Compare 95 and -49
  Swap 95 and -49
  List after swap: [26, -21, -36, -70, -49, 95, -52, -32, -53, -15]
  Compare 95 and -52
  Swap 95 and -52
  List after swap: [26, -21, -36, -70, -49, -52, 95, -32, -53, -15]
  Compare 95 and -32
  Swap 95 and -32
  List after swap: [26, -21, -36, -70, -49, -52, -32, 95, -53, -15]
  Compare 95 and -53
  Swap 95 and -53
  List after swap: [26, -21, -36, -70, -49, -52, -32, -53, 95, -15]
  Compare 95 and -15
  Swap 95 and -15
  List after swap: [26, -21, -36, -70, -49, -52, -32, -53, -15, 95]

Pass 2:
  Compare 26 and -21
  Swap 26 and -21
  List after swap: [-21, 26, -36, -70, -49, -52, -32, -53, -15, 95]
  Compare 26 and -36
  Swap 26 and -36
  List after swap: [-21, -36, 26, -70, -49, -52, -32, -53, -15, 95]
  Compare 26 and -70
  Swap 26 and -70
  List after swap: [-21, -36, -70, 26, -49, -52, -32, -53, -15, 95]
  Compare 26 and -49
  Swap 26 and -49
  List after swap: [-21, -36, -70, -49, 26, -52, -32, -53, -15, 95]
  Compare 26 and -52
  Swap 26 and -52
  List after swap: [-21, -36, -70, -49, -52, 26, -32, -53, -15, 95]
  Compare 26 and -32
  Swap 26 and -32
  List after swap: [-21, -36, -70, -49, -52, -32, 26, -53, -15, 95]
  Compare 26 and -53
  Swap 26 and -53
  List after swap: [-21, -36, -70, -49, -52, -32, -53, 26, -15, 95]
  Compare 26 and -15
  Swap 26 and -15
  List after swap: [-21, -36, -70, -49, -52, -32, -53, -15, 26, 95]

Pass 3:
  Compare -21 and -36
  Swap -21 and -36
  List after swap: [-36, -21, -70, -49, -52, -32, -53, -15, 26, 95]
  Compare -21 and -70
  Swap -21 and -70
  List after swap: [-36, -70, -21, -49, -52, -32, -53, -15, 26, 95]
  Compare -21 and -49
  Swap -21 and -49
  List after swap: [-36, -70, -49, -21, -52, -32, -53, -15, 26, 95]
  Compare -21 and -52
  Swap -21 and -52
  List after swap: [-36, -70, -49, -52, -21, -32, -53, -15, 26, 95]
  Compare -21 and -32
  Swap -21 and -32
  List after swap: [-36, -70, -49, -52, -32, -21, -53, -15, 26, 95]
  Compare -21 and -53
  Swap -21 and -53
  List after swap: [-36, -70, -49, -52, -32, -53, -21, -15, 26, 95]
  Compare -21 and -15
  No swap needed

Pass 4:
  Compare -36 and -70
  Swap -36 and -70
  List after swap: [-70, -36, -49, -52, -32, -53, -21, -15, 26, 95]
  Compare -36 and -49
  Swap -36 and -49
  List after swap: [-70, -49, -36, -52, -32, -53, -21, -15, 26, 95]
  Compare -36 and -52
  Swap -36 and -52
  List after swap: [-70, -49, -52, -36, -32, -53, -21, -15, 26, 95]
  Compare -36 and -32
  No swap needed
  Compare -32 and -53
  Swap -32 and -53
  List after swap: [-70, -49, -52, -36, -53, -32, -21, -15, 26, 95]
  Compare -32 and -21
  No swap needed

Pass 5:
  Compare -70 and -49
  No swap needed
  Compare -49 and -52
  Swap -49 and -52
  List after swap: [-70, -52, -49, -36, -53, -32, -21, -15, 26, 95]
  Compare -49 and -36
  No swap needed
  Compare -36 and -53
  Swap -36 and -53
  List after swap: [-70, -52, -49, -53, -36, -32, -21, -15, 26, 95]
  Compare -36 and -32
  No swap needed

Pass 6:
  Compare -70 and -52
  No swap needed
  Compare -52 and -49
  No swap needed
  Compare -49 and -53
  Swap -49 and -53
  List after swap: [-70, -52, -53, -49, -36, -32, -21, -15, 26, 95]
  Compare -49 and -36
  No swap needed

Pass 7:
  Compare -70 and -52
  No swap needed
  Compare -52 and -53
  Swap -52 and -53
  List after swap: [-70, -53, -52, -49, -36, -32, -21, -15, 26, 95]
  Compare -52 and -49
  No swap needed

Pass 8:
  Compare -70 and -53
  No swap needed
  Compare -53 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -53, -52, -49, -36, -32, -21, -15, 26, 95]
</think>

<response>-70, -53, -52, -49, -36, -32, -21, -15, 26, 95</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 30, 54.

output:
<think>
Initial list: [30, 54]

Pass 1:
  Compare 30 and 54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [30, 54]
</think>

<response>30, 54</response>


input: Sort the list 57, 81, 11, 73, 21, -95, 92, -98, 20 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [57, 81, 11, 73, 21, -95, 92, -98, 20]

Pass 1:
  Compare 57 and 81
  No swap needed
  Compare 81 and 11
  Swap 81 and 11
  List after swap: [57, 11, 81, 73, 21, -95, 92, -98, 20]
  Compare 81 and 73
  Swap 81 and 73
  List after swap: [57, 11, 73, 81, 21, -95, 92, -98, 20]
  Compare 81 and 21
  Swap 81 and 21
  List after swap: [57, 11, 73, 21, 81, -95, 92, -98, 20]
  Compare 81 and -95
  Swap 81 and -95
  List after swap: [57, 11, 73, 21, -95, 81, 92, -98, 20]
  Compare 81 and 92
  No swap needed
  Compare 92 and -98
  Swap 92 and -98
  List after swap: [57, 11, 73, 21, -95, 81, -98, 92, 20]
  Compare 92 and 20
  Swap 92 and 20
  List after swap: [57, 11, 73, 21, -95, 81, -98, 20, 92]

Pass 2:
  Compare 57 and 11
  Swap 57 and 11
  List after swap: [11, 57, 73, 21, -95, 81, -98, 20, 92]
  Compare 57 and 73
  No swap needed
  Compare 73 and 21
  Swap 73 and 21
  List after swap: [11, 57, 21, 73, -95, 81, -98, 20, 92]
  Compare 73 and -95
  Swap 73 and -95
  List after swap: [11, 57, 21, -95, 73, 81, -98, 20, 92]
  Compare 73 and 81
  No swap needed
  Compare 81 and -98
  Swap 81 and -98
  List after swap: [11, 57, 21, -95, 73, -98, 81, 20, 92]
  Compare 81 and 20
  Swap 81 and 20
  List after swap: [11, 57, 21, -95, 73, -98, 20, 81, 92]

Pass 3:
  Compare 11 and 57
  No swap needed
  Compare 57 and 21
  Swap 57 and 21
  List after swap: [11, 21, 57, -95, 73, -98, 20, 81, 92]
  Compare 57 and -95
  Swap 57 and -95
  List after swap: [11, 21, -95, 57, 73, -98, 20, 81, 92]
  Compare 57 and 73
  No swap needed
  Compare 73 and -98
  Swap 73 and -98
  List after swap: [11, 21, -95, 57, -98, 73, 20, 81, 92]
  Compare 73 and 20
  Swap 73 and 20
  List after swap: [11, 21, -95, 57, -98, 20, 73, 81, 92]

Pass 4:
  Compare 11 and 21
  No swap needed
  Compare 21 and -95
  Swap 21 and -95
  List after swap: [11, -95, 21, 57, -98, 20, 73, 81, 92]
  Compare 21 and 57
  No swap needed
  Compare 57 and -98
  Swap 57 and -98
  List after swap: [11, -95, 21, -98, 57, 20, 73, 81, 92]
  Compare 57 and 20
  Swap 57 and 20
  List after swap: [11, -95, 21, -98, 20, 57, 73, 81, 92]

Pass 5:
  Compare 11 and -95
  Swap 11 and -95
  List after swap: [-95, 11, 21, -98, 20, 57, 73, 81, 92]
  Compare 11 and 21
  No swap needed
  Compare 21 and -98
  Swap 21 and -98
  List after swap: [-95, 11, -98, 21, 20, 57, 73, 81, 92]
  Compare 21 and 20
  Swap 21 and 20
  List after swap: [-95, 11, -98, 20, 21, 57, 73, 81, 92]

Pass 6:
  Compare -95 and 11
  No swap needed
  Compare 11 and -98
  Swap 11 and -98
  List after swap: [-95, -98, 11, 20, 21, 57, 73, 81, 92]
  Compare 11 and 20
  No swap needed

Pass 7:
  Compare -95 and -98
  Swap -95 and -98
  List after swap: [-98, -95, 11, 20, 21, 57, 73, 81, 92]
  Compare -95 and 11
  No swap needed

Pass 8:
  Compare -98 and -95
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -95, 11, 20, 21, 57, 73, 81, 92]
</think>

<response>-98, -95, 11, 20, 21, 57, 73, 81, 92</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -72, 12, 75.

output:
<think>
Initial list: [-72, 12, 75]

Pass 1:
  Compare -72 and 12
  No swap needed
  Compare 12 and 75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, 12, 75]
</think>

<response>-72, 12, 75</response>


input: Use the bubble sort technique to reorder -43, -100 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-43, -100]

Pass 1:
  Compare -43 and -100
  Swap -43 and -100
  List after swap: [-100, -43]

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

Final sorted list: [-100, -43]
</think>

<response>-100, -43</response>


input: Perform a bubble sort on the integers 12, 70, -90, 96, 24, -35, -3, -55, -44, -18, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [12, 70, -90, 96, 24, -35, -3, -55, -44, -18]

Pass 1:
  Compare 12 and 70
  No swap needed
  Compare 70 and -90
  Swap 70 and -90
  List after swap: [12, -90, 70, 96, 24, -35, -3, -55, -44, -18]
  Compare 70 and 96
  No swap needed
  Compare 96 and 24
  Swap 96 and 24
  List after swap: [12, -90, 70, 24, 96, -35, -3, -55, -44, -18]
  Compare 96 and -35
  Swap 96 and -35
  List after swap: [12, -90, 70, 24, -35, 96, -3, -55, -44, -18]
  Compare 96 and -3
  Swap 96 and -3
  List after swap: [12, -90, 70, 24, -35, -3, 96, -55, -44, -18]
  Compare 96 and -55
  Swap 96 and -55
  List after swap: [12, -90, 70, 24, -35, -3, -55, 96, -44, -18]
  Compare 96 and -44
  Swap 96 and -44
  List after swap: [12, -90, 70, 24, -35, -3, -55, -44, 96, -18]
  Compare 96 and -18
  Swap 96 and -18
  List after swap: [12, -90, 70, 24, -35, -3, -55, -44, -18, 96]

Pass 2:
  Compare 12 and -90
  Swap 12 and -90
  List after swap: [-90, 12, 70, 24, -35, -3, -55, -44, -18, 96]
  Compare 12 and 70
  No swap needed
  Compare 70 and 24
  Swap 70 and 24
  List after swap: [-90, 12, 24, 70, -35, -3, -55, -44, -18, 96]
  Compare 70 and -35
  Swap 70 and -35
  List after swap: [-90, 12, 24, -35, 70, -3, -55, -44, -18, 96]
  Compare 70 and -3
  Swap 70 and -3
  List after swap: [-90, 12, 24, -35, -3, 70, -55, -44, -18, 96]
  Compare 70 and -55
  Swap 70 and -55
  List after swap: [-90, 12, 24, -35, -3, -55, 70, -44, -18, 96]
  Compare 70 and -44
  Swap 70 and -44
  List after swap: [-90, 12, 24, -35, -3, -55, -44, 70, -18, 96]
  Compare 70 and -18
  Swap 70 and -18
  List after swap: [-90, 12, 24, -35, -3, -55, -44, -18, 70, 96]

Pass 3:
  Compare -90 and 12
  No swap needed
  Compare 12 and 24
  No swap needed
  Compare 24 and -35
  Swap 24 and -35
  List after swap: [-90, 12, -35, 24, -3, -55, -44, -18, 70, 96]
  Compare 24 and -3
  Swap 24 and -3
  List after swap: [-90, 12, -35, -3, 24, -55, -44, -18, 70, 96]
  Compare 24 and -55
  Swap 24 and -55
  List after swap: [-90, 12, -35, -3, -55, 24, -44, -18, 70, 96]
  Compare 24 and -44
  Swap 24 and -44
  List after swap: [-90, 12, -35, -3, -55, -44, 24, -18, 70, 96]
  Compare 24 and -18
  Swap 24 and -18
  List after swap: [-90, 12, -35, -3, -55, -44, -18, 24, 70, 96]

Pass 4:
  Compare -90 and 12
  No swap needed
  Compare 12 and -35
  Swap 12 and -35
  List after swap: [-90, -35, 12, -3, -55, -44, -18, 24, 70, 96]
  Compare 12 and -3
  Swap 12 and -3
  List after swap: [-90, -35, -3, 12, -55, -44, -18, 24, 70, 96]
  Compare 12 and -55
  Swap 12 and -55
  List after swap: [-90, -35, -3, -55, 12, -44, -18, 24, 70, 96]
  Compare 12 and -44
  Swap 12 and -44
  List after swap: [-90, -35, -3, -55, -44, 12, -18, 24, 70, 96]
  Compare 12 and -18
  Swap 12 and -18
  List after swap: [-90, -35, -3, -55, -44, -18, 12, 24, 70, 96]

Pass 5:
  Compare -90 and -35
  No swap needed
  Compare -35 and -3
  No swap needed
  Compare -3 and -55
  Swap -3 and -55
  List after swap: [-90, -35, -55, -3, -44, -18, 12, 24, 70, 96]
  Compare -3 and -44
  Swap -3 and -44
  List after swap: [-90, -35, -55, -44, -3, -18, 12, 24, 70, 96]
  Compare -3 and -18
  Swap -3 and -18
  List after swap: [-90, -35, -55, -44, -18, -3, 12, 24, 70, 96]

Pass 6:
  Compare -90 and -35
  No swap needed
  Compare -35 and -55
  Swap -35 and -55
  List after swap: [-90, -55, -35, -44, -18, -3, 12, 24, 70, 96]
  Compare -35 and -44
  Swap -35 and -44
  List after swap: [-90, -55, -44, -35, -18, -3, 12, 24, 70, 96]
  Compare -35 and -18
  No swap needed

Pass 7:
  Compare -90 and -55
  No swap needed
  Compare -55 and -44
  No swap needed
  Compare -44 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -55, -44, -35, -18, -3, 12, 24, 70, 96]
</think>

<response>-90, -55, -44, -35, -18, -3, 12, 24, 70, 96</response>


input: Arrange the numbers -3, -50 in ascending order by applying bubble sort, and display each intermediate step.

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

Pass 1:
  Compare -3 and -50
  Swap -3 and -50
  List after swap: [-50, -3]

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

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

<response>-50, -3</response>


input: Use the bubble sort technique to reorder 68, -57, 47, -14, 84, -100, -89, -58, -15, -53 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [68, -57, 47, -14, 84, -100, -89, -58, -15, -53]

Pass 1:
  Compare 68 and -57
  Swap 68 and -57
  List after swap: [-57, 68, 47, -14, 84, -100, -89, -58, -15, -53]
  Compare 68 and 47
  Swap 68 and 47
  List after swap: [-57, 47, 68, -14, 84, -100, -89, -58, -15, -53]
  Compare 68 and -14
  Swap 68 and -14
  List after swap: [-57, 47, -14, 68, 84, -100, -89, -58, -15, -53]
  Compare 68 and 84
  No swap needed
  Compare 84 and -100
  Swap 84 and -100
  List after swap: [-57, 47, -14, 68, -100, 84, -89, -58, -15, -53]
  Compare 84 and -89
  Swap 84 and -89
  List after swap: [-57, 47, -14, 68, -100, -89, 84, -58, -15, -53]
  Compare 84 and -58
  Swap 84 and -58
  List after swap: [-57, 47, -14, 68, -100, -89, -58, 84, -15, -53]
  Compare 84 and -15
  Swap 84 and -15
  List after swap: [-57, 47, -14, 68, -100, -89, -58, -15, 84, -53]
  Compare 84 and -53
  Swap 84 and -53
  List after swap: [-57, 47, -14, 68, -100, -89, -58, -15, -53, 84]

Pass 2:
  Compare -57 and 47
  No swap needed
  Compare 47 and -14
  Swap 47 and -14
  List after swap: [-57, -14, 47, 68, -100, -89, -58, -15, -53, 84]
  Compare 47 and 68
  No swap needed
  Compare 68 and -100
  Swap 68 and -100
  List after swap: [-57, -14, 47, -100, 68, -89, -58, -15, -53, 84]
  Compare 68 and -89
  Swap 68 and -89
  List after swap: [-57, -14, 47, -100, -89, 68, -58, -15, -53, 84]
  Compare 68 and -58
  Swap 68 and -58
  List after swap: [-57, -14, 47, -100, -89, -58, 68, -15, -53, 84]
  Compare 68 and -15
  Swap 68 and -15
  List after swap: [-57, -14, 47, -100, -89, -58, -15, 68, -53, 84]
  Compare 68 and -53
  Swap 68 and -53
  List after swap: [-57, -14, 47, -100, -89, -58, -15, -53, 68, 84]

Pass 3:
  Compare -57 and -14
  No swap needed
  Compare -14 and 47
  No swap needed
  Compare 47 and -100
  Swap 47 and -100
  List after swap: [-57, -14, -100, 47, -89, -58, -15, -53, 68, 84]
  Compare 47 and -89
  Swap 47 and -89
  List after swap: [-57, -14, -100, -89, 47, -58, -15, -53, 68, 84]
  Compare 47 and -58
  Swap 47 and -58
  List after swap: [-57, -14, -100, -89, -58, 47, -15, -53, 68, 84]
  Compare 47 and -15
  Swap 47 and -15
  List after swap: [-57, -14, -100, -89, -58, -15, 47, -53, 68, 84]
  Compare 47 and -53
  Swap 47 and -53
  List after swap: [-57, -14, -100, -89, -58, -15, -53, 47, 68, 84]

Pass 4:
  Compare -57 and -14
  No swap needed
  Compare -14 and -100
  Swap -14 and -100
  List after swap: [-57, -100, -14, -89, -58, -15, -53, 47, 68, 84]
  Compare -14 and -89
  Swap -14 and -89
  List after swap: [-57, -100, -89, -14, -58, -15, -53, 47, 68, 84]
  Compare -14 and -58
  Swap -14 and -58
  List after swap: [-57, -100, -89, -58, -14, -15, -53, 47, 68, 84]
  Compare -14 and -15
  Swap -14 and -15
  List after swap: [-57, -100, -89, -58, -15, -14, -53, 47, 68, 84]
  Compare -14 and -53
  Swap -14 and -53
  List after swap: [-57, -100, -89, -58, -15, -53, -14, 47, 68, 84]

Pass 5:
  Compare -57 and -100
  Swap -57 and -100
  List after swap: [-100, -57, -89, -58, -15, -53, -14, 47, 68, 84]
  Compare -57 and -89
  Swap -57 and -89
  List after swap: [-100, -89, -57, -58, -15, -53, -14, 47, 68, 84]
  Compare -57 and -58
  Swap -57 and -58
  List after swap: [-100, -89, -58, -57, -15, -53, -14, 47, 68, 84]
  Compare -57 and -15
  No swap needed
  Compare -15 and -53
  Swap -15 and -53
  List after swap: [-100, -89, -58, -57, -53, -15, -14, 47, 68, 84]

Pass 6:
  Compare -100 and -89
  No swap needed
  Compare -89 and -58
  No swap needed
  Compare -58 and -57
  No swap needed
  Compare -57 and -53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -89, -58, -57, -53, -15, -14, 47, 68, 84]
</think>

<response>-100, -89, -58, -57, -53, -15, -14, 47, 68, 84</response>


input: Carry out the bubble sort algorithm on -23, 57, 39, 40, 58, -29, -77, -41, 9 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-23, 57, 39, 40, 58, -29, -77, -41, 9]

Pass 1:
  Compare -23 and 57
  No swap needed
  Compare 57 and 39
  Swap 57 and 39
  List after swap: [-23, 39, 57, 40, 58, -29, -77, -41, 9]
  Compare 57 and 40
  Swap 57 and 40
  List after swap: [-23, 39, 40, 57, 58, -29, -77, -41, 9]
  Compare 57 and 58
  No swap needed
  Compare 58 and -29
  Swap 58 and -29
  List after swap: [-23, 39, 40, 57, -29, 58, -77, -41, 9]
  Compare 58 and -77
  Swap 58 and -77
  List after swap: [-23, 39, 40, 57, -29, -77, 58, -41, 9]
  Compare 58 and -41
  Swap 58 and -41
  List after swap: [-23, 39, 40, 57, -29, -77, -41, 58, 9]
  Compare 58 and 9
  Swap 58 and 9
  List after swap: [-23, 39, 40, 57, -29, -77, -41, 9, 58]

Pass 2:
  Compare -23 and 39
  No swap needed
  Compare 39 and 40
  No swap needed
  Compare 40 and 57
  No swap needed
  Compare 57 and -29
  Swap 57 and -29
  List after swap: [-23, 39, 40, -29, 57, -77, -41, 9, 58]
  Compare 57 and -77
  Swap 57 and -77
  List after swap: [-23, 39, 40, -29, -77, 57, -41, 9, 58]
  Compare 57 and -41
  Swap 57 and -41
  List after swap: [-23, 39, 40, -29, -77, -41, 57, 9, 58]
  Compare 57 and 9
  Swap 57 and 9
  List after swap: [-23, 39, 40, -29, -77, -41, 9, 57, 58]

Pass 3:
  Compare -23 and 39
  No swap needed
  Compare 39 and 40
  No swap needed
  Compare 40 and -29
  Swap 40 and -29
  List after swap: [-23, 39, -29, 40, -77, -41, 9, 57, 58]
  Compare 40 and -77
  Swap 40 and -77
  List after swap: [-23, 39, -29, -77, 40, -41, 9, 57, 58]
  Compare 40 and -41
  Swap 40 and -41
  List after swap: [-23, 39, -29, -77, -41, 40, 9, 57, 58]
  Compare 40 and 9
  Swap 40 and 9
  List after swap: [-23, 39, -29, -77, -41, 9, 40, 57, 58]

Pass 4:
  Compare -23 and 39
  No swap needed
  Compare 39 and -29
  Swap 39 and -29
  List after swap: [-23, -29, 39, -77, -41, 9, 40, 57, 58]
  Compare 39 and -77
  Swap 39 and -77
  List after swap: [-23, -29, -77, 39, -41, 9, 40, 57, 58]
  Compare 39 and -41
  Swap 39 and -41
  List after swap: [-23, -29, -77, -41, 39, 9, 40, 57, 58]
  Compare 39 and 9
  Swap 39 and 9
  List after swap: [-23, -29, -77, -41, 9, 39, 40, 57, 58]

Pass 5:
  Compare -23 and -29
  Swap -23 and -29
  List after swap: [-29, -23, -77, -41, 9, 39, 40, 57, 58]
  Compare -23 and -77
  Swap -23 and -77
  List after swap: [-29, -77, -23, -41, 9, 39, 40, 57, 58]
  Compare -23 and -41
  Swap -23 and -41
  List after swap: [-29, -77, -41, -23, 9, 39, 40, 57, 58]
  Compare -23 and 9
  No swap needed

Pass 6:
  Compare -29 and -77
  Swap -29 and -77
  List after swap: [-77, -29, -41, -23, 9, 39, 40, 57, 58]
  Compare -29 and -41
  Swap -29 and -41
  List after swap: [-77, -41, -29, -23, 9, 39, 40, 57, 58]
  Compare -29 and -23
  No swap needed

Pass 7:
  Compare -77 and -41
  No swap needed
  Compare -41 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -41, -29, -23, 9, 39, 40, 57, 58]
</think>

<response>-77, -41, -29, -23, 9, 39, 40, 57, 58</response>


input: Arrange the numbers 1, -95, 99, 5 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [1, -95, 99, 5]

Pass 1:
  Compare 1 and -95
  Swap 1 and -95
  List after swap: [-95, 1, 99, 5]
  Compare 1 and 99
  No swap needed
  Compare 99 and 5
  Swap 99 and 5
  List after swap: [-95, 1, 5, 99]

Pass 2:
  Compare -95 and 1
  No swap needed
  Compare 1 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, 1, 5, 99]
</think>

<response>-95, 1, 5, 99</response>


input: Perform a bubble sort on the integers -12, -16, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-12, -16]

Pass 1:
  Compare -12 and -16
  Swap -12 and -16
  List after swap: [-16, -12]

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

Final sorted list: [-16, -12]
</think>

<response>-16, -12</response>


input: Implement bubble sort on -78, -76, -74, -25, -7 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-78, -76, -74, -25, -7]

Pass 1:
  Compare -78 and -76
  No swap needed
  Compare -76 and -74
  No swap needed
  Compare -74 and -25
  No swap needed
  Compare -25 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -76, -74, -25, -7]
</think>

<response>-78, -76, -74, -25, -7</response>


input: Using the bubble sort method, sort 53, -46 from lowest to highest and provide a step-by-step breakdown.

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

Pass 1:
  Compare 53 and -46
  Swap 53 and -46
  List after swap: [-46, 53]

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

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

<response>-46, 53</response>


input: Demonstrate how bubble sort orders the integers -82, -35, 5, 33, -97, -72, 57, 14 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-82, -35, 5, 33, -97, -72, 57, 14]

Pass 1:
  Compare -82 and -35
  No swap needed
  Compare -35 and 5
  No swap needed
  Compare 5 and 33
  No swap needed
  Compare 33 and -97
  Swap 33 and -97
  List after swap: [-82, -35, 5, -97, 33, -72, 57, 14]
  Compare 33 and -72
  Swap 33 and -72
  List after swap: [-82, -35, 5, -97, -72, 33, 57, 14]
  Compare 33 and 57
  No swap needed
  Compare 57 and 14
  Swap 57 and 14
  List after swap: [-82, -35, 5, -97, -72, 33, 14, 57]

Pass 2:
  Compare -82 and -35
  No swap needed
  Compare -35 and 5
  No swap needed
  Compare 5 and -97
  Swap 5 and -97
  List after swap: [-82, -35, -97, 5, -72, 33, 14, 57]
  Compare 5 and -72
  Swap 5 and -72
  List after swap: [-82, -35, -97, -72, 5, 33, 14, 57]
  Compare 5 and 33
  No swap needed
  Compare 33 and 14
  Swap 33 and 14
  List after swap: [-82, -35, -97, -72, 5, 14, 33, 57]

Pass 3:
  Compare -82 and -35
  No swap needed
  Compare -35 and -97
  Swap -35 and -97
  List after swap: [-82, -97, -35, -72, 5, 14, 33, 57]
  Compare -35 and -72
  Swap -35 and -72
  List after swap: [-82, -97, -72, -35, 5, 14, 33, 57]
  Compare -35 and 5
  No swap needed
  Compare 5 and 14
  No swap needed

Pass 4:
  Compare -82 and -97
  Swap -82 and -97
  List after swap: [-97, -82, -72, -35, 5, 14, 33, 57]
  Compare -82 and -72
  No swap needed
  Compare -72 and -35
  No swap needed
  Compare -35 and 5
  No swap needed

Pass 5:
  Compare -97 and -82
  No swap needed
  Compare -82 and -72
  No swap needed
  Compare -72 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -82, -72, -35, 5, 14, 33, 57]
</think>

<response>-97, -82, -72, -35, 5, 14, 33, 57</response>


input: Sort these integers 58, -65, 53, 82, 37, 34, -60, -10, 43, 40 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [58, -65, 53, 82, 37, 34, -60, -10, 43, 40]

Pass 1:
  Compare 58 and -65
  Swap 58 and -65
  List after swap: [-65, 58, 53, 82, 37, 34, -60, -10, 43, 40]
  Compare 58 and 53
  Swap 58 and 53
  List after swap: [-65, 53, 58, 82, 37, 34, -60, -10, 43, 40]
  Compare 58 and 82
  No swap needed
  Compare 82 and 37
  Swap 82 and 37
  List after swap: [-65, 53, 58, 37, 82, 34, -60, -10, 43, 40]
  Compare 82 and 34
  Swap 82 and 34
  List after swap: [-65, 53, 58, 37, 34, 82, -60, -10, 43, 40]
  Compare 82 and -60
  Swap 82 and -60
  List after swap: [-65, 53, 58, 37, 34, -60, 82, -10, 43, 40]
  Compare 82 and -10
  Swap 82 and -10
  List after swap: [-65, 53, 58, 37, 34, -60, -10, 82, 43, 40]
  Compare 82 and 43
  Swap 82 and 43
  List after swap: [-65, 53, 58, 37, 34, -60, -10, 43, 82, 40]
  Compare 82 and 40
  Swap 82 and 40
  List after swap: [-65, 53, 58, 37, 34, -60, -10, 43, 40, 82]

Pass 2:
  Compare -65 and 53
  No swap needed
  Compare 53 and 58
  No swap needed
  Compare 58 and 37
  Swap 58 and 37
  List after swap: [-65, 53, 37, 58, 34, -60, -10, 43, 40, 82]
  Compare 58 and 34
  Swap 58 and 34
  List after swap: [-65, 53, 37, 34, 58, -60, -10, 43, 40, 82]
  Compare 58 and -60
  Swap 58 and -60
  List after swap: [-65, 53, 37, 34, -60, 58, -10, 43, 40, 82]
  Compare 58 and -10
  Swap 58 and -10
  List after swap: [-65, 53, 37, 34, -60, -10, 58, 43, 40, 82]
  Compare 58 and 43
  Swap 58 and 43
  List after swap: [-65, 53, 37, 34, -60, -10, 43, 58, 40, 82]
  Compare 58 and 40
  Swap 58 and 40
  List after swap: [-65, 53, 37, 34, -60, -10, 43, 40, 58, 82]

Pass 3:
  Compare -65 and 53
  No swap needed
  Compare 53 and 37
  Swap 53 and 37
  List after swap: [-65, 37, 53, 34, -60, -10, 43, 40, 58, 82]
  Compare 53 and 34
  Swap 53 and 34
  List after swap: [-65, 37, 34, 53, -60, -10, 43, 40, 58, 82]
  Compare 53 and -60
  Swap 53 and -60
  List after swap: [-65, 37, 34, -60, 53, -10, 43, 40, 58, 82]
  Compare 53 and -10
  Swap 53 and -10
  List after swap: [-65, 37, 34, -60, -10, 53, 43, 40, 58, 82]
  Compare 53 and 43
  Swap 53 and 43
  List after swap: [-65, 37, 34, -60, -10, 43, 53, 40, 58, 82]
  Compare 53 and 40
  Swap 53 and 40
  List after swap: [-65, 37, 34, -60, -10, 43, 40, 53, 58, 82]

Pass 4:
  Compare -65 and 37
  No swap needed
  Compare 37 and 34
  Swap 37 and 34
  List after swap: [-65, 34, 37, -60, -10, 43, 40, 53, 58, 82]
  Compare 37 and -60
  Swap 37 and -60
  List after swap: [-65, 34, -60, 37, -10, 43, 40, 53, 58, 82]
  Compare 37 and -10
  Swap 37 and -10
  List after swap: [-65, 34, -60, -10, 37, 43, 40, 53, 58, 82]
  Compare 37 and 43
  No swap needed
  Compare 43 and 40
  Swap 43 and 40
  List after swap: [-65, 34, -60, -10, 37, 40, 43, 53, 58, 82]

Pass 5:
  Compare -65 and 34
  No swap needed
  Compare 34 and -60
  Swap 34 and -60
  List after swap: [-65, -60, 34, -10, 37, 40, 43, 53, 58, 82]
  Compare 34 and -10
  Swap 34 and -10
  List after swap: [-65, -60, -10, 34, 37, 40, 43, 53, 58, 82]
  Compare 34 and 37
  No swap needed
  Compare 37 and 40
  No swap needed

Pass 6:
  Compare -65 and -60
  No swap needed
  Compare -60 and -10
  No swap needed
  Compare -10 and 34
  No swap needed
  Compare 34 and 37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -60, -10, 34, 37, 40, 43, 53, 58, 82]
</think>

<response>-65, -60, -10, 34, 37, 40, 43, 53, 58, 82</response>


input: Sort the list -50, 56, -82, -86, -94, -20 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-50, 56, -82, -86, -94, -20]

Pass 1:
  Compare -50 and 56
  No swap needed
  Compare 56 and -82
  Swap 56 and -82
  List after swap: [-50, -82, 56, -86, -94, -20]
  Compare 56 and -86
  Swap 56 and -86
  List after swap: [-50, -82, -86, 56, -94, -20]
  Compare 56 and -94
  Swap 56 and -94
  List after swap: [-50, -82, -86, -94, 56, -20]
  Compare 56 and -20
  Swap 56 and -20
  List after swap: [-50, -82, -86, -94, -20, 56]

Pass 2:
  Compare -50 and -82
  Swap -50 and -82
  List after swap: [-82, -50, -86, -94, -20, 56]
  Compare -50 and -86
  Swap -50 and -86
  List after swap: [-82, -86, -50, -94, -20, 56]
  Compare -50 and -94
  Swap -50 and -94
  List after swap: [-82, -86, -94, -50, -20, 56]
  Compare -50 and -20
  No swap needed

Pass 3:
  Compare -82 and -86
  Swap -82 and -86
  List after swap: [-86, -82, -94, -50, -20, 56]
  Compare -82 and -94
  Swap -82 and -94
  List after swap: [-86, -94, -82, -50, -20, 56]
  Compare -82 and -50
  No swap needed

Pass 4:
  Compare -86 and -94
  Swap -86 and -94
  List after swap: [-94, -86, -82, -50, -20, 56]
  Compare -86 and -82
  No swap needed

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

Final sorted list: [-94, -86, -82, -50, -20, 56]
</think>

<response>-94, -86, -82, -50, -20, 56</response>


input: Sort the list 78, -79, -51, 22, -30, 84, 73, 69, 25 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [78, -79, -51, 22, -30, 84, 73, 69, 25]

Pass 1:
  Compare 78 and -79
  Swap 78 and -79
  List after swap: [-79, 78, -51, 22, -30, 84, 73, 69, 25]
  Compare 78 and -51
  Swap 78 and -51
  List after swap: [-79, -51, 78, 22, -30, 84, 73, 69, 25]
  Compare 78 and 22
  Swap 78 and 22
  List after swap: [-79, -51, 22, 78, -30, 84, 73, 69, 25]
  Compare 78 and -30
  Swap 78 and -30
  List after swap: [-79, -51, 22, -30, 78, 84, 73, 69, 25]
  Compare 78 and 84
  No swap needed
  Compare 84 and 73
  Swap 84 and 73
  List after swap: [-79, -51, 22, -30, 78, 73, 84, 69, 25]
  Compare 84 and 69
  Swap 84 and 69
  List after swap: [-79, -51, 22, -30, 78, 73, 69, 84, 25]
  Compare 84 and 25
  Swap 84 and 25
  List after swap: [-79, -51, 22, -30, 78, 73, 69, 25, 84]

Pass 2:
  Compare -79 and -51
  No swap needed
  Compare -51 and 22
  No swap needed
  Compare 22 and -30
  Swap 22 and -30
  List after swap: [-79, -51, -30, 22, 78, 73, 69, 25, 84]
  Compare 22 and 78
  No swap needed
  Compare 78 and 73
  Swap 78 and 73
  List after swap: [-79, -51, -30, 22, 73, 78, 69, 25, 84]
  Compare 78 and 69
  Swap 78 and 69
  List after swap: [-79, -51, -30, 22, 73, 69, 78, 25, 84]
  Compare 78 and 25
  Swap 78 and 25
  List after swap: [-79, -51, -30, 22, 73, 69, 25, 78, 84]

Pass 3:
  Compare -79 and -51
  No swap needed
  Compare -51 and -30
  No swap needed
  Compare -30 and 22
  No swap needed
  Compare 22 and 73
  No swap needed
  Compare 73 and 69
  Swap 73 and 69
  List after swap: [-79, -51, -30, 22, 69, 73, 25, 78, 84]
  Compare 73 and 25
  Swap 73 and 25
  List after swap: [-79, -51, -30, 22, 69, 25, 73, 78, 84]

Pass 4:
  Compare -79 and -51
  No swap needed
  Compare -51 and -30
  No swap needed
  Compare -30 and 22
  No swap needed
  Compare 22 and 69
  No swap needed
  Compare 69 and 25
  Swap 69 and 25
  List after swap: [-79, -51, -30, 22, 25, 69, 73, 78, 84]

Pass 5:
  Compare -79 and -51
  No swap needed
  Compare -51 and -30
  No swap needed
  Compare -30 and 22
  No swap needed
  Compare 22 and 25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -51, -30, 22, 25, 69, 73, 78, 84]
</think>

<response>-79, -51, -30, 22, 25, 69, 73, 78, 84</response>


input: Demonstrate how bubble sort orders the integers 99, 31, 46, 69, 43 in ascending sequence, showing all steps.

output:
<think>
Initial list: [99, 31, 46, 69, 43]

Pass 1:
  Compare 99 and 31
  Swap 99 and 31
  List after swap: [31, 99, 46, 69, 43]
  Compare 99 and 46
  Swap 99 and 46
  List after swap: [31, 46, 99, 69, 43]
  Compare 99 and 69
  Swap 99 and 69
  List after swap: [31, 46, 69, 99, 43]
  Compare 99 and 43
  Swap 99 and 43
  List after swap: [31, 46, 69, 43, 99]

Pass 2:
  Compare 31 and 46
  No swap needed
  Compare 46 and 69
  No swap needed
  Compare 69 and 43
  Swap 69 and 43
  List after swap: [31, 46, 43, 69, 99]

Pass 3:
  Compare 31 and 46
  No swap needed
  Compare 46 and 43
  Swap 46 and 43
  List after swap: [31, 43, 46, 69, 99]

Pass 4:
  Compare 31 and 43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [31, 43, 46, 69, 99]
</think>

<response>31, 43, 46, 69, 99</response>


input: Execute bubble sort to sort -45, -73, 38, -19, -48, -1, -59, -21 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-45, -73, 38, -19, -48, -1, -59, -21]

Pass 1:
  Compare -45 and -73
  Swap -45 and -73
  List after swap: [-73, -45, 38, -19, -48, -1, -59, -21]
  Compare -45 and 38
  No swap needed
  Compare 38 and -19
  Swap 38 and -19
  List after swap: [-73, -45, -19, 38, -48, -1, -59, -21]
  Compare 38 and -48
  Swap 38 and -48
  List after swap: [-73, -45, -19, -48, 38, -1, -59, -21]
  Compare 38 and -1
  Swap 38 and -1
  List after swap: [-73, -45, -19, -48, -1, 38, -59, -21]
  Compare 38 and -59
  Swap 38 and -59
  List after swap: [-73, -45, -19, -48, -1, -59, 38, -21]
  Compare 38 and -21
  Swap 38 and -21
  List after swap: [-73, -45, -19, -48, -1, -59, -21, 38]

Pass 2:
  Compare -73 and -45
  No swap needed
  Compare -45 and -19
  No swap needed
  Compare -19 and -48
  Swap -19 and -48
  List after swap: [-73, -45, -48, -19, -1, -59, -21, 38]
  Compare -19 and -1
  No swap needed
  Compare -1 and -59
  Swap -1 and -59
  List after swap: [-73, -45, -48, -19, -59, -1, -21, 38]
  Compare -1 and -21
  Swap -1 and -21
  List after swap: [-73, -45, -48, -19, -59, -21, -1, 38]

Pass 3:
  Compare -73 and -45
  No swap needed
  Compare -45 and -48
  Swap -45 and -48
  List after swap: [-73, -48, -45, -19, -59, -21, -1, 38]
  Compare -45 and -19
  No swap needed
  Compare -19 and -59
  Swap -19 and -59
  List after swap: [-73, -48, -45, -59, -19, -21, -1, 38]
  Compare -19 and -21
  Swap -19 and -21
  List after swap: [-73, -48, -45, -59, -21, -19, -1, 38]

Pass 4:
  Compare -73 and -48
  No swap needed
  Compare -48 and -45
  No swap needed
  Compare -45 and -59
  Swap -45 and -59
  List after swap: [-73, -48, -59, -45, -21, -19, -1, 38]
  Compare -45 and -21
  No swap needed

Pass 5:
  Compare -73 and -48
  No swap needed
  Compare -48 and -59
  Swap -48 and -59
  List after swap: [-73, -59, -48, -45, -21, -19, -1, 38]
  Compare -48 and -45
  No swap needed

Pass 6:
  Compare -73 and -59
  No swap needed
  Compare -59 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -59, -48, -45, -21, -19, -1, 38]
</think>

<response>-73, -59, -48, -45, -21, -19, -1, 38</response>


input: Use the bubble sort technique to reorder -93, 50, -25 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-93, 50, -25]

Pass 1:
  Compare -93 and 50
  No swap needed
  Compare 50 and -25
  Swap 50 and -25
  List after swap: [-93, -25, 50]

Pass 2:
  Compare -93 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -25, 50]
</think>

<response>-93, -25, 50</response>


input: Carry out the bubble sort algorithm on -55, -75 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-55, -75]

Pass 1:
  Compare -55 and -75
  Swap -55 and -75
  List after swap: [-75, -55]

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

Final sorted list: [-75, -55]
</think>

<response>-75, -55</response>


input: Sort the list -73, -18, 14, -87 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-73, -18, 14, -87]

Pass 1:
  Compare -73 and -18
  No swap needed
  Compare -18 and 14
  No swap needed
  Compare 14 and -87
  Swap 14 and -87
  List after swap: [-73, -18, -87, 14]

Pass 2:
  Compare -73 and -18
  No swap needed
  Compare -18 and -87
  Swap -18 and -87
  List after swap: [-73, -87, -18, 14]

Pass 3:
  Compare -73 and -87
  Swap -73 and -87
  List after swap: [-87, -73, -18, 14]

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

Final sorted list: [-87, -73, -18, 14]
</think>

<response>-87, -73, -18, 14</response>


input: Use the bubble sort technique to reorder 3, 81, -51, 51, -18, -53 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [3, 81, -51, 51, -18, -53]

Pass 1:
  Compare 3 and 81
  No swap needed
  Compare 81 and -51
  Swap 81 and -51
  List after swap: [3, -51, 81, 51, -18, -53]
  Compare 81 and 51
  Swap 81 and 51
  List after swap: [3, -51, 51, 81, -18, -53]
  Compare 81 and -18
  Swap 81 and -18
  List after swap: [3, -51, 51, -18, 81, -53]
  Compare 81 and -53
  Swap 81 and -53
  List after swap: [3, -51, 51, -18, -53, 81]

Pass 2:
  Compare 3 and -51
  Swap 3 and -51
  List after swap: [-51, 3, 51, -18, -53, 81]
  Compare 3 and 51
  No swap needed
  Compare 51 and -18
  Swap 51 and -18
  List after swap: [-51, 3, -18, 51, -53, 81]
  Compare 51 and -53
  Swap 51 and -53
  List after swap: [-51, 3, -18, -53, 51, 81]

Pass 3:
  Compare -51 and 3
  No swap needed
  Compare 3 and -18
  Swap 3 and -18
  List after swap: [-51, -18, 3, -53, 51, 81]
  Compare 3 and -53
  Swap 3 and -53
  List after swap: [-51, -18, -53, 3, 51, 81]

Pass 4:
  Compare -51 and -18
  No swap needed
  Compare -18 and -53
  Swap -18 and -53
  List after swap: [-51, -53, -18, 3, 51, 81]

Pass 5:
  Compare -51 and -53
  Swap -51 and -53
  List after swap: [-53, -51, -18, 3, 51, 81]

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

Final sorted list: [-53, -51, -18, 3, 51, 81]
</think>

<response>-53, -51, -18, 3, 51, 81</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 86, -18, 67, -34, 72, 24, 58, 11, 56.

output:
<think>
Initial list: [86, -18, 67, -34, 72, 24, 58, 11, 56]

Pass 1:
  Compare 86 and -18
  Swap 86 and -18
  List after swap: [-18, 86, 67, -34, 72, 24, 58, 11, 56]
  Compare 86 and 67
  Swap 86 and 67
  List after swap: [-18, 67, 86, -34, 72, 24, 58, 11, 56]
  Compare 86 and -34
  Swap 86 and -34
  List after swap: [-18, 67, -34, 86, 72, 24, 58, 11, 56]
  Compare 86 and 72
  Swap 86 and 72
  List after swap: [-18, 67, -34, 72, 86, 24, 58, 11, 56]
  Compare 86 and 24
  Swap 86 and 24
  List after swap: [-18, 67, -34, 72, 24, 86, 58, 11, 56]
  Compare 86 and 58
  Swap 86 and 58
  List after swap: [-18, 67, -34, 72, 24, 58, 86, 11, 56]
  Compare 86 and 11
  Swap 86 and 11
  List after swap: [-18, 67, -34, 72, 24, 58, 11, 86, 56]
  Compare 86 and 56
  Swap 86 and 56
  List after swap: [-18, 67, -34, 72, 24, 58, 11, 56, 86]

Pass 2:
  Compare -18 and 67
  No swap needed
  Compare 67 and -34
  Swap 67 and -34
  List after swap: [-18, -34, 67, 72, 24, 58, 11, 56, 86]
  Compare 67 and 72
  No swap needed
  Compare 72 and 24
  Swap 72 and 24
  List after swap: [-18, -34, 67, 24, 72, 58, 11, 56, 86]
  Compare 72 and 58
  Swap 72 and 58
  List after swap: [-18, -34, 67, 24, 58, 72, 11, 56, 86]
  Compare 72 and 11
  Swap 72 and 11
  List after swap: [-18, -34, 67, 24, 58, 11, 72, 56, 86]
  Compare 72 and 56
  Swap 72 and 56
  List after swap: [-18, -34, 67, 24, 58, 11, 56, 72, 86]

Pass 3:
  Compare -18 and -34
  Swap -18 and -34
  List after swap: [-34, -18, 67, 24, 58, 11, 56, 72, 86]
  Compare -18 and 67
  No swap needed
  Compare 67 and 24
  Swap 67 and 24
  List after swap: [-34, -18, 24, 67, 58, 11, 56, 72, 86]
  Compare 67 and 58
  Swap 67 and 58
  List after swap: [-34, -18, 24, 58, 67, 11, 56, 72, 86]
  Compare 67 and 11
  Swap 67 and 11
  List after swap: [-34, -18, 24, 58, 11, 67, 56, 72, 86]
  Compare 67 and 56
  Swap 67 and 56
  List after swap: [-34, -18, 24, 58, 11, 56, 67, 72, 86]

Pass 4:
  Compare -34 and -18
  No swap needed
  Compare -18 and 24
  No swap needed
  Compare 24 and 58
  No swap needed
  Compare 58 and 11
  Swap 58 and 11
  List after swap: [-34, -18, 24, 11, 58, 56, 67, 72, 86]
  Compare 58 and 56
  Swap 58 and 56
  List after swap: [-34, -18, 24, 11, 56, 58, 67, 72, 86]

Pass 5:
  Compare -34 and -18
  No swap needed
  Compare -18 and 24
  No swap needed
  Compare 24 and 11
  Swap 24 and 11
  List after swap: [-34, -18, 11, 24, 56, 58, 67, 72, 86]
  Compare 24 and 56
  No swap needed

Pass 6:
  Compare -34 and -18
  No swap needed
  Compare -18 and 11
  No swap needed
  Compare 11 and 24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-34, -18, 11, 24, 56, 58, 67, 72, 86]
</think>

<response>-34, -18, 11, 24, 56, 58, 67, 72, 86</response>


input: Carry out the bubble sort algorithm on -50, 53 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-50, 53]

Pass 1:
  Compare -50 and 53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, 53]
</think>

<response>-50, 53</response>


input: Using the bubble sort method, sort 38, 4, 75 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [38, 4, 75]

Pass 1:
  Compare 38 and 4
  Swap 38 and 4
  List after swap: [4, 38, 75]
  Compare 38 and 75
  No swap needed

Pass 2:
  Compare 4 and 38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [4, 38, 75]
</think>

<response>4, 38, 75</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 41, 32, 89, -29, -72, 77.

output:
<think>
Initial list: [41, 32, 89, -29, -72, 77]

Pass 1:
  Compare 41 and 32
  Swap 41 and 32
  List after swap: [32, 41, 89, -29, -72, 77]
  Compare 41 and 89
  No swap needed
  Compare 89 and -29
  Swap 89 and -29
  List after swap: [32, 41, -29, 89, -72, 77]
  Compare 89 and -72
  Swap 89 and -72
  List after swap: [32, 41, -29, -72, 89, 77]
  Compare 89 and 77
  Swap 89 and 77
  List after swap: [32, 41, -29, -72, 77, 89]

Pass 2:
  Compare 32 and 41
  No swap needed
  Compare 41 and -29
  Swap 41 and -29
  List after swap: [32, -29, 41, -72, 77, 89]
  Compare 41 and -72
  Swap 41 and -72
  List after swap: [32, -29, -72, 41, 77, 89]
  Compare 41 and 77
  No swap needed

Pass 3:
  Compare 32 and -29
  Swap 32 and -29
  List after swap: [-29, 32, -72, 41, 77, 89]
  Compare 32 and -72
  Swap 32 and -72
  List after swap: [-29, -72, 32, 41, 77, 89]
  Compare 32 and 41
  No swap needed

Pass 4:
  Compare -29 and -72
  Swap -29 and -72
  List after swap: [-72, -29, 32, 41, 77, 89]
  Compare -29 and 32
  No swap needed

Pass 5:
  Compare -72 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -29, 32, 41, 77, 89]
</think>

<response>-72, -29, 32, 41, 77, 89</response>


input: Arrange the numbers -24, -94, -30, 31, 46, 86, -74 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-24, -94, -30, 31, 46, 86, -74]

Pass 1:
  Compare -24 and -94
  Swap -24 and -94
  List after swap: [-94, -24, -30, 31, 46, 86, -74]
  Compare -24 and -30
  Swap -24 and -30
  List after swap: [-94, -30, -24, 31, 46, 86, -74]
  Compare -24 and 31
  No swap needed
  Compare 31 and 46
  No swap needed
  Compare 46 and 86
  No swap needed
  Compare 86 and -74
  Swap 86 and -74
  List after swap: [-94, -30, -24, 31, 46, -74, 86]

Pass 2:
  Compare -94 and -30
  No swap needed
  Compare -30 and -24
  No swap needed
  Compare -24 and 31
  No swap needed
  Compare 31 and 46
  No swap needed
  Compare 46 and -74
  Swap 46 and -74
  List after swap: [-94, -30, -24, 31, -74, 46, 86]

Pass 3:
  Compare -94 and -30
  No swap needed
  Compare -30 and -24
  No swap needed
  Compare -24 and 31
  No swap needed
  Compare 31 and -74
  Swap 31 and -74
  List after swap: [-94, -30, -24, -74, 31, 46, 86]

Pass 4:
  Compare -94 and -30
  No swap needed
  Compare -30 and -24
  No swap needed
  Compare -24 and -74
  Swap -24 and -74
  List after swap: [-94, -30, -74, -24, 31, 46, 86]

Pass 5:
  Compare -94 and -30
  No swap needed
  Compare -30 and -74
  Swap -30 and -74
  List after swap: [-94, -74, -30, -24, 31, 46, 86]

Pass 6:
  Compare -94 and -74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -74, -30, -24, 31, 46, 86]
</think>

<response>-94, -74, -30, -24, 31, 46, 86</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 80, -11, 59, -47.

output:
<think>
Initial list: [80, -11, 59, -47]

Pass 1:
  Compare 80 and -11
  Swap 80 and -11
  List after swap: [-11, 80, 59, -47]
  Compare 80 and 59
  Swap 80 and 59
  List after swap: [-11, 59, 80, -47]
  Compare 80 and -47
  Swap 80 and -47
  List after swap: [-11, 59, -47, 80]

Pass 2:
  Compare -11 and 59
  No swap needed
  Compare 59 and -47
  Swap 59 and -47
  List after swap: [-11, -47, 59, 80]

Pass 3:
  Compare -11 and -47
  Swap -11 and -47
  List after swap: [-47, -11, 59, 80]

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

Final sorted list: [-47, -11, 59, 80]
</think>

<response>-47, -11, 59, 80</response>


input: Using the bubble sort method, sort -80, -30, 28, -77, 90, -90, 59, -58 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-80, -30, 28, -77, 90, -90, 59, -58]

Pass 1:
  Compare -80 and -30
  No swap needed
  Compare -30 and 28
  No swap needed
  Compare 28 and -77
  Swap 28 and -77
  List after swap: [-80, -30, -77, 28, 90, -90, 59, -58]
  Compare 28 and 90
  No swap needed
  Compare 90 and -90
  Swap 90 and -90
  List after swap: [-80, -30, -77, 28, -90, 90, 59, -58]
  Compare 90 and 59
  Swap 90 and 59
  List after swap: [-80, -30, -77, 28, -90, 59, 90, -58]
  Compare 90 and -58
  Swap 90 and -58
  List after swap: [-80, -30, -77, 28, -90, 59, -58, 90]

Pass 2:
  Compare -80 and -30
  No swap needed
  Compare -30 and -77
  Swap -30 and -77
  List after swap: [-80, -77, -30, 28, -90, 59, -58, 90]
  Compare -30 and 28
  No swap needed
  Compare 28 and -90
  Swap 28 and -90
  List after swap: [-80, -77, -30, -90, 28, 59, -58, 90]
  Compare 28 and 59
  No swap needed
  Compare 59 and -58
  Swap 59 and -58
  List after swap: [-80, -77, -30, -90, 28, -58, 59, 90]

Pass 3:
  Compare -80 and -77
  No swap needed
  Compare -77 and -30
  No swap needed
  Compare -30 and -90
  Swap -30 and -90
  List after swap: [-80, -77, -90, -30, 28, -58, 59, 90]
  Compare -30 and 28
  No swap needed
  Compare 28 and -58
  Swap 28 and -58
  List after swap: [-80, -77, -90, -30, -58, 28, 59, 90]

Pass 4:
  Compare -80 and -77
  No swap needed
  Compare -77 and -90
  Swap -77 and -90
  List after swap: [-80, -90, -77, -30, -58, 28, 59, 90]
  Compare -77 and -30
  No swap needed
  Compare -30 and -58
  Swap -30 and -58
  List after swap: [-80, -90, -77, -58, -30, 28, 59, 90]

Pass 5:
  Compare -80 and -90
  Swap -80 and -90
  List after swap: [-90, -80, -77, -58, -30, 28, 59, 90]
  Compare -80 and -77
  No swap needed
  Compare -77 and -58
  No swap needed

Pass 6:
  Compare -90 and -80
  No swap needed
  Compare -80 and -77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -80, -77, -58, -30, 28, 59, 90]
</think>

<response>-90, -80, -77, -58, -30, 28, 59, 90</response>


input: Arrange the numbers -100, -65, 3, 42, 85, 10, 63, 18, -16 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-100, -65, 3, 42, 85, 10, 63, 18, -16]

Pass 1:
  Compare -100 and -65
  No swap needed
  Compare -65 and 3
  No swap needed
  Compare 3 and 42
  No swap needed
  Compare 42 and 85
  No swap needed
  Compare 85 and 10
  Swap 85 and 10
  List after swap: [-100, -65, 3, 42, 10, 85, 63, 18, -16]
  Compare 85 and 63
  Swap 85 and 63
  List after swap: [-100, -65, 3, 42, 10, 63, 85, 18, -16]
  Compare 85 and 18
  Swap 85 and 18
  List after swap: [-100, -65, 3, 42, 10, 63, 18, 85, -16]
  Compare 85 and -16
  Swap 85 and -16
  List after swap: [-100, -65, 3, 42, 10, 63, 18, -16, 85]

Pass 2:
  Compare -100 and -65
  No swap needed
  Compare -65 and 3
  No swap needed
  Compare 3 and 42
  No swap needed
  Compare 42 and 10
  Swap 42 and 10
  List after swap: [-100, -65, 3, 10, 42, 63, 18, -16, 85]
  Compare 42 and 63
  No swap needed
  Compare 63 and 18
  Swap 63 and 18
  List after swap: [-100, -65, 3, 10, 42, 18, 63, -16, 85]
  Compare 63 and -16
  Swap 63 and -16
  List after swap: [-100, -65, 3, 10, 42, 18, -16, 63, 85]

Pass 3:
  Compare -100 and -65
  No swap needed
  Compare -65 and 3
  No swap needed
  Compare 3 and 10
  No swap needed
  Compare 10 and 42
  No swap needed
  Compare 42 and 18
  Swap 42 and 18
  List after swap: [-100, -65, 3, 10, 18, 42, -16, 63, 85]
  Compare 42 and -16
  Swap 42 and -16
  List after swap: [-100, -65, 3, 10, 18, -16, 42, 63, 85]

Pass 4:
  Compare -100 and -65
  No swap needed
  Compare -65 and 3
  No swap needed
  Compare 3 and 10
  No swap needed
  Compare 10 and 18
  No swap needed
  Compare 18 and -16
  Swap 18 and -16
  List after swap: [-100, -65, 3, 10, -16, 18, 42, 63, 85]

Pass 5:
  Compare -100 and -65
  No swap needed
  Compare -65 and 3
  No swap needed
  Compare 3 and 10
  No swap needed
  Compare 10 and -16
  Swap 10 and -16
  List after swap: [-100, -65, 3, -16, 10, 18, 42, 63, 85]

Pass 6:
  Compare -100 and -65
  No swap needed
  Compare -65 and 3
  No swap needed
  Compare 3 and -16
  Swap 3 and -16
  List after swap: [-100, -65, -16, 3, 10, 18, 42, 63, 85]

Pass 7:
  Compare -100 and -65
  No swap needed
  Compare -65 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -65, -16, 3, 10, 18, 42, 63, 85]
</think>

<response>-100, -65, -16, 3, 10, 18, 42, 63, 85</response>


input: Using the bubble sort method, sort -17, -74, 17, -62, 89, -12, -89 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-17, -74, 17, -62, 89, -12, -89]

Pass 1:
  Compare -17 and -74
  Swap -17 and -74
  List after swap: [-74, -17, 17, -62, 89, -12, -89]
  Compare -17 and 17
  No swap needed
  Compare 17 and -62
  Swap 17 and -62
  List after swap: [-74, -17, -62, 17, 89, -12, -89]
  Compare 17 and 89
  No swap needed
  Compare 89 and -12
  Swap 89 and -12
  List after swap: [-74, -17, -62, 17, -12, 89, -89]
  Compare 89 and -89
  Swap 89 and -89
  List after swap: [-74, -17, -62, 17, -12, -89, 89]

Pass 2:
  Compare -74 and -17
  No swap needed
  Compare -17 and -62
  Swap -17 and -62
  List after swap: [-74, -62, -17, 17, -12, -89, 89]
  Compare -17 and 17
  No swap needed
  Compare 17 and -12
  Swap 17 and -12
  List after swap: [-74, -62, -17, -12, 17, -89, 89]
  Compare 17 and -89
  Swap 17 and -89
  List after swap: [-74, -62, -17, -12, -89, 17, 89]

Pass 3:
  Compare -74 and -62
  No swap needed
  Compare -62 and -17
  No swap needed
  Compare -17 and -12
  No swap needed
  Compare -12 and -89
  Swap -12 and -89
  List after swap: [-74, -62, -17, -89, -12, 17, 89]

Pass 4:
  Compare -74 and -62
  No swap needed
  Compare -62 and -17
  No swap needed
  Compare -17 and -89
  Swap -17 and -89
  List after swap: [-74, -62, -89, -17, -12, 17, 89]

Pass 5:
  Compare -74 and -62
  No swap needed
  Compare -62 and -89
  Swap -62 and -89
  List after swap: [-74, -89, -62, -17, -12, 17, 89]

Pass 6:
  Compare -74 and -89
  Swap -74 and -89
  List after swap: [-89, -74, -62, -17, -12, 17, 89]

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

Final sorted list: [-89, -74, -62, -17, -12, 17, 89]
</think>

<response>-89, -74, -62, -17, -12, 17, 89</response>


input: Arrange the numbers 53, 12, -22, -59, -4, -19 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [53, 12, -22, -59, -4, -19]

Pass 1:
  Compare 53 and 12
  Swap 53 and 12
  List after swap: [12, 53, -22, -59, -4, -19]
  Compare 53 and -22
  Swap 53 and -22
  List after swap: [12, -22, 53, -59, -4, -19]
  Compare 53 and -59
  Swap 53 and -59
  List after swap: [12, -22, -59, 53, -4, -19]
  Compare 53 and -4
  Swap 53 and -4
  List after swap: [12, -22, -59, -4, 53, -19]
  Compare 53 and -19
  Swap 53 and -19
  List after swap: [12, -22, -59, -4, -19, 53]

Pass 2:
  Compare 12 and -22
  Swap 12 and -22
  List after swap: [-22, 12, -59, -4, -19, 53]
  Compare 12 and -59
  Swap 12 and -59
  List after swap: [-22, -59, 12, -4, -19, 53]
  Compare 12 and -4
  Swap 12 and -4
  List after swap: [-22, -59, -4, 12, -19, 53]
  Compare 12 and -19
  Swap 12 and -19
  List after swap: [-22, -59, -4, -19, 12, 53]

Pass 3:
  Compare -22 and -59
  Swap -22 and -59
  List after swap: [-59, -22, -4, -19, 12, 53]
  Compare -22 and -4
  No swap needed
  Compare -4 and -19
  Swap -4 and -19
  List after swap: [-59, -22, -19, -4, 12, 53]

Pass 4:
  Compare -59 and -22
  No swap needed
  Compare -22 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, -22, -19, -4, 12, 53]
</think>

<response>-59, -22, -19, -4, 12, 53</response>


input: Perform a bubble sort on the integers -48, 33, 91, 70, 20, -92, -57, 26, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-48, 33, 91, 70, 20, -92, -57, 26]

Pass 1:
  Compare -48 and 33
  No swap needed
  Compare 33 and 91
  No swap needed
  Compare 91 and 70
  Swap 91 and 70
  List after swap: [-48, 33, 70, 91, 20, -92, -57, 26]
  Compare 91 and 20
  Swap 91 and 20
  List after swap: [-48, 33, 70, 20, 91, -92, -57, 26]
  Compare 91 and -92
  Swap 91 and -92
  List after swap: [-48, 33, 70, 20, -92, 91, -57, 26]
  Compare 91 and -57
  Swap 91 and -57
  List after swap: [-48, 33, 70, 20, -92, -57, 91, 26]
  Compare 91 and 26
  Swap 91 and 26
  List after swap: [-48, 33, 70, 20, -92, -57, 26, 91]

Pass 2:
  Compare -48 and 33
  No swap needed
  Compare 33 and 70
  No swap needed
  Compare 70 and 20
  Swap 70 and 20
  List after swap: [-48, 33, 20, 70, -92, -57, 26, 91]
  Compare 70 and -92
  Swap 70 and -92
  List after swap: [-48, 33, 20, -92, 70, -57, 26, 91]
  Compare 70 and -57
  Swap 70 and -57
  List after swap: [-48, 33, 20, -92, -57, 70, 26, 91]
  Compare 70 and 26
  Swap 70 and 26
  List after swap: [-48, 33, 20, -92, -57, 26, 70, 91]

Pass 3:
  Compare -48 and 33
  No swap needed
  Compare 33 and 20
  Swap 33 and 20
  List after swap: [-48, 20, 33, -92, -57, 26, 70, 91]
  Compare 33 and -92
  Swap 33 and -92
  List after swap: [-48, 20, -92, 33, -57, 26, 70, 91]
  Compare 33 and -57
  Swap 33 and -57
  List after swap: [-48, 20, -92, -57, 33, 26, 70, 91]
  Compare 33 and 26
  Swap 33 and 26
  List after swap: [-48, 20, -92, -57, 26, 33, 70, 91]

Pass 4:
  Compare -48 and 20
  No swap needed
  Compare 20 and -92
  Swap 20 and -92
  List after swap: [-48, -92, 20, -57, 26, 33, 70, 91]
  Compare 20 and -57
  Swap 20 and -57
  List after swap: [-48, -92, -57, 20, 26, 33, 70, 91]
  Compare 20 and 26
  No swap needed

Pass 5:
  Compare -48 and -92
  Swap -48 and -92
  List after swap: [-92, -48, -57, 20, 26, 33, 70, 91]
  Compare -48 and -57
  Swap -48 and -57
  List after swap: [-92, -57, -48, 20, 26, 33, 70, 91]
  Compare -48 and 20
  No swap needed

Pass 6:
  Compare -92 and -57
  No swap needed
  Compare -57 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -57, -48, 20, 26, 33, 70, 91]
</think>

<response>-92, -57, -48, 20, 26, 33, 70, 91</response>


input: Arrange the numbers 96, -51, -41, 44 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [96, -51, -41, 44]

Pass 1:
  Compare 96 and -51
  Swap 96 and -51
  List after swap: [-51, 96, -41, 44]
  Compare 96 and -41
  Swap 96 and -41
  List after swap: [-51, -41, 96, 44]
  Compare 96 and 44
  Swap 96 and 44
  List after swap: [-51, -41, 44, 96]

Pass 2:
  Compare -51 and -41
  No swap needed
  Compare -41 and 44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-51, -41, 44, 96]
</think>

<response>-51, -41, 44, 96</response>


input: Perform a bubble sort on the integers -28, -10, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-28, -10]

Pass 1:
  Compare -28 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-28, -10]
</think>

<response>-28, -10</response>


input: Carry out the bubble sort algorithm on 89, -25, 0, -74, -40, -57, 22 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [89, -25, 0, -74, -40, -57, 22]

Pass 1:
  Compare 89 and -25
  Swap 89 and -25
  List after swap: [-25, 89, 0, -74, -40, -57, 22]
  Compare 89 and 0
  Swap 89 and 0
  List after swap: [-25, 0, 89, -74, -40, -57, 22]
  Compare 89 and -74
  Swap 89 and -74
  List after swap: [-25, 0, -74, 89, -40, -57, 22]
  Compare 89 and -40
  Swap 89 and -40
  List after swap: [-25, 0, -74, -40, 89, -57, 22]
  Compare 89 and -57
  Swap 89 and -57
  List after swap: [-25, 0, -74, -40, -57, 89, 22]
  Compare 89 and 22
  Swap 89 and 22
  List after swap: [-25, 0, -74, -40, -57, 22, 89]

Pass 2:
  Compare -25 and 0
  No swap needed
  Compare 0 and -74
  Swap 0 and -74
  List after swap: [-25, -74, 0, -40, -57, 22, 89]
  Compare 0 and -40
  Swap 0 and -40
  List after swap: [-25, -74, -40, 0, -57, 22, 89]
  Compare 0 and -57
  Swap 0 and -57
  List after swap: [-25, -74, -40, -57, 0, 22, 89]
  Compare 0 and 22
  No swap needed

Pass 3:
  Compare -25 and -74
  Swap -25 and -74
  List after swap: [-74, -25, -40, -57, 0, 22, 89]
  Compare -25 and -40
  Swap -25 and -40
  List after swap: [-74, -40, -25, -57, 0, 22, 89]
  Compare -25 and -57
  Swap -25 and -57
  List after swap: [-74, -40, -57, -25, 0, 22, 89]
  Compare -25 and 0
  No swap needed

Pass 4:
  Compare -74 and -40
  No swap needed
  Compare -40 and -57
  Swap -40 and -57
  List after swap: [-74, -57, -40, -25, 0, 22, 89]
  Compare -40 and -25
  No swap needed

Pass 5:
  Compare -74 and -57
  No swap needed
  Compare -57 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -57, -40, -25, 0, 22, 89]
</think>

<response>-74, -57, -40, -25, 0, 22, 89</response>


input: Carry out the bubble sort algorithm on 81, 13, -70, 10, -22, 42, -89, -14 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [81, 13, -70, 10, -22, 42, -89, -14]

Pass 1:
  Compare 81 and 13
  Swap 81 and 13
  List after swap: [13, 81, -70, 10, -22, 42, -89, -14]
  Compare 81 and -70
  Swap 81 and -70
  List after swap: [13, -70, 81, 10, -22, 42, -89, -14]
  Compare 81 and 10
  Swap 81 and 10
  List after swap: [13, -70, 10, 81, -22, 42, -89, -14]
  Compare 81 and -22
  Swap 81 and -22
  List after swap: [13, -70, 10, -22, 81, 42, -89, -14]
  Compare 81 and 42
  Swap 81 and 42
  List after swap: [13, -70, 10, -22, 42, 81, -89, -14]
  Compare 81 and -89
  Swap 81 and -89
  List after swap: [13, -70, 10, -22, 42, -89, 81, -14]
  Compare 81 and -14
  Swap 81 and -14
  List after swap: [13, -70, 10, -22, 42, -89, -14, 81]

Pass 2:
  Compare 13 and -70
  Swap 13 and -70
  List after swap: [-70, 13, 10, -22, 42, -89, -14, 81]
  Compare 13 and 10
  Swap 13 and 10
  List after swap: [-70, 10, 13, -22, 42, -89, -14, 81]
  Compare 13 and -22
  Swap 13 and -22
  List after swap: [-70, 10, -22, 13, 42, -89, -14, 81]
  Compare 13 and 42
  No swap needed
  Compare 42 and -89
  Swap 42 and -89
  List after swap: [-70, 10, -22, 13, -89, 42, -14, 81]
  Compare 42 and -14
  Swap 42 and -14
  List after swap: [-70, 10, -22, 13, -89, -14, 42, 81]

Pass 3:
  Compare -70 and 10
  No swap needed
  Compare 10 and -22
  Swap 10 and -22
  List after swap: [-70, -22, 10, 13, -89, -14, 42, 81]
  Compare 10 and 13
  No swap needed
  Compare 13 and -89
  Swap 13 and -89
  List after swap: [-70, -22, 10, -89, 13, -14, 42, 81]
  Compare 13 and -14
  Swap 13 and -14
  List after swap: [-70, -22, 10, -89, -14, 13, 42, 81]

Pass 4:
  Compare -70 and -22
  No swap needed
  Compare -22 and 10
  No swap needed
  Compare 10 and -89
  Swap 10 and -89
  List after swap: [-70, -22, -89, 10, -14, 13, 42, 81]
  Compare 10 and -14
  Swap 10 and -14
  List after swap: [-70, -22, -89, -14, 10, 13, 42, 81]

Pass 5:
  Compare -70 and -22
  No swap needed
  Compare -22 and -89
  Swap -22 and -89
  List after swap: [-70, -89, -22, -14, 10, 13, 42, 81]
  Compare -22 and -14
  No swap needed

Pass 6:
  Compare -70 and -89
  Swap -70 and -89
  List after swap: [-89, -70, -22, -14, 10, 13, 42, 81]
  Compare -70 and -22
  No swap needed

Pass 7:
  Compare -89 and -70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -70, -22, -14, 10, 13, 42, 81]
</think>

<response>-89, -70, -22, -14, 10, 13, 42, 81</response>


input: Demonstrate how bubble sort orders the integers -18, 53, 13, -11, 76, 0, 74, -70 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-18, 53, 13, -11, 76, 0, 74, -70]

Pass 1:
  Compare -18 and 53
  No swap needed
  Compare 53 and 13
  Swap 53 and 13
  List after swap: [-18, 13, 53, -11, 76, 0, 74, -70]
  Compare 53 and -11
  Swap 53 and -11
  List after swap: [-18, 13, -11, 53, 76, 0, 74, -70]
  Compare 53 and 76
  No swap needed
  Compare 76 and 0
  Swap 76 and 0
  List after swap: [-18, 13, -11, 53, 0, 76, 74, -70]
  Compare 76 and 74
  Swap 76 and 74
  List after swap: [-18, 13, -11, 53, 0, 74, 76, -70]
  Compare 76 and -70
  Swap 76 and -70
  List after swap: [-18, 13, -11, 53, 0, 74, -70, 76]

Pass 2:
  Compare -18 and 13
  No swap needed
  Compare 13 and -11
  Swap 13 and -11
  List after swap: [-18, -11, 13, 53, 0, 74, -70, 76]
  Compare 13 and 53
  No swap needed
  Compare 53 and 0
  Swap 53 and 0
  List after swap: [-18, -11, 13, 0, 53, 74, -70, 76]
  Compare 53 and 74
  No swap needed
  Compare 74 and -70
  Swap 74 and -70
  List after swap: [-18, -11, 13, 0, 53, -70, 74, 76]

Pass 3:
  Compare -18 and -11
  No swap needed
  Compare -11 and 13
  No swap needed
  Compare 13 and 0
  Swap 13 and 0
  List after swap: [-18, -11, 0, 13, 53, -70, 74, 76]
  Compare 13 and 53
  No swap needed
  Compare 53 and -70
  Swap 53 and -70
  List after swap: [-18, -11, 0, 13, -70, 53, 74, 76]

Pass 4:
  Compare -18 and -11
  No swap needed
  Compare -11 and 0
  No swap needed
  Compare 0 and 13
  No swap needed
  Compare 13 and -70
  Swap 13 and -70
  List after swap: [-18, -11, 0, -70, 13, 53, 74, 76]

Pass 5:
  Compare -18 and -11
  No swap needed
  Compare -11 and 0
  No swap needed
  Compare 0 and -70
  Swap 0 and -70
  List after swap: [-18, -11, -70, 0, 13, 53, 74, 76]

Pass 6:
  Compare -18 and -11
  No swap needed
  Compare -11 and -70
  Swap -11 and -70
  List after swap: [-18, -70, -11, 0, 13, 53, 74, 76]

Pass 7:
  Compare -18 and -70
  Swap -18 and -70
  List after swap: [-70, -18, -11, 0, 13, 53, 74, 76]

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

Final sorted list: [-70, -18, -11, 0, 13, 53, 74, 76]
</think>

<response>-70, -18, -11, 0, 13, 53, 74, 76</response>


input: Implement bubble sort on 88, -69, -4, -71, -81 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [88, -69, -4, -71, -81]

Pass 1:
  Compare 88 and -69
  Swap 88 and -69
  List after swap: [-69, 88, -4, -71, -81]
  Compare 88 and -4
  Swap 88 and -4
  List after swap: [-69, -4, 88, -71, -81]
  Compare 88 and -71
  Swap 88 and -71
  List after swap: [-69, -4, -71, 88, -81]
  Compare 88 and -81
  Swap 88 and -81
  List after swap: [-69, -4, -71, -81, 88]

Pass 2:
  Compare -69 and -4
  No swap needed
  Compare -4 and -71
  Swap -4 and -71
  List after swap: [-69, -71, -4, -81, 88]
  Compare -4 and -81
  Swap -4 and -81
  List after swap: [-69, -71, -81, -4, 88]

Pass 3:
  Compare -69 and -71
  Swap -69 and -71
  List after swap: [-71, -69, -81, -4, 88]
  Compare -69 and -81
  Swap -69 and -81
  List after swap: [-71, -81, -69, -4, 88]

Pass 4:
  Compare -71 and -81
  Swap -71 and -81
  List after swap: [-81, -71, -69, -4, 88]

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

Final sorted list: [-81, -71, -69, -4, 88]
</think>

<response>-81, -71, -69, -4, 88</response>


input: Execute bubble sort to sort 4, 79, 7 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [4, 79, 7]

Pass 1:
  Compare 4 and 79
  No swap needed
  Compare 79 and 7
  Swap 79 and 7
  List after swap: [4, 7, 79]

Pass 2:
  Compare 4 and 7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [4, 7, 79]
</think>

<response>4, 7, 79</response>


input: Arrange the numbers 6, 11, 55, 16, -61, -37, -45, 37, -35, -73 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [6, 11, 55, 16, -61, -37, -45, 37, -35, -73]

Pass 1:
  Compare 6 and 11
  No swap needed
  Compare 11 and 55
  No swap needed
  Compare 55 and 16
  Swap 55 and 16
  List after swap: [6, 11, 16, 55, -61, -37, -45, 37, -35, -73]
  Compare 55 and -61
  Swap 55 and -61
  List after swap: [6, 11, 16, -61, 55, -37, -45, 37, -35, -73]
  Compare 55 and -37
  Swap 55 and -37
  List after swap: [6, 11, 16, -61, -37, 55, -45, 37, -35, -73]
  Compare 55 and -45
  Swap 55 and -45
  List after swap: [6, 11, 16, -61, -37, -45, 55, 37, -35, -73]
  Compare 55 and 37
  Swap 55 and 37
  List after swap: [6, 11, 16, -61, -37, -45, 37, 55, -35, -73]
  Compare 55 and -35
  Swap 55 and -35
  List after swap: [6, 11, 16, -61, -37, -45, 37, -35, 55, -73]
  Compare 55 and -73
  Swap 55 and -73
  List after swap: [6, 11, 16, -61, -37, -45, 37, -35, -73, 55]

Pass 2:
  Compare 6 and 11
  No swap needed
  Compare 11 and 16
  No swap needed
  Compare 16 and -61
  Swap 16 and -61
  List after swap: [6, 11, -61, 16, -37, -45, 37, -35, -73, 55]
  Compare 16 and -37
  Swap 16 and -37
  List after swap: [6, 11, -61, -37, 16, -45, 37, -35, -73, 55]
  Compare 16 and -45
  Swap 16 and -45
  List after swap: [6, 11, -61, -37, -45, 16, 37, -35, -73, 55]
  Compare 16 and 37
  No swap needed
  Compare 37 and -35
  Swap 37 and -35
  List after swap: [6, 11, -61, -37, -45, 16, -35, 37, -73, 55]
  Compare 37 and -73
  Swap 37 and -73
  List after swap: [6, 11, -61, -37, -45, 16, -35, -73, 37, 55]

Pass 3:
  Compare 6 and 11
  No swap needed
  Compare 11 and -61
  Swap 11 and -61
  List after swap: [6, -61, 11, -37, -45, 16, -35, -73, 37, 55]
  Compare 11 and -37
  Swap 11 and -37
  List after swap: [6, -61, -37, 11, -45, 16, -35, -73, 37, 55]
  Compare 11 and -45
  Swap 11 and -45
  List after swap: [6, -61, -37, -45, 11, 16, -35, -73, 37, 55]
  Compare 11 and 16
  No swap needed
  Compare 16 and -35
  Swap 16 and -35
  List after swap: [6, -61, -37, -45, 11, -35, 16, -73, 37, 55]
  Compare 16 and -73
  Swap 16 and -73
  List after swap: [6, -61, -37, -45, 11, -35, -73, 16, 37, 55]

Pass 4:
  Compare 6 and -61
  Swap 6 and -61
  List after swap: [-61, 6, -37, -45, 11, -35, -73, 16, 37, 55]
  Compare 6 and -37
  Swap 6 and -37
  List after swap: [-61, -37, 6, -45, 11, -35, -73, 16, 37, 55]
  Compare 6 and -45
  Swap 6 and -45
  List after swap: [-61, -37, -45, 6, 11, -35, -73, 16, 37, 55]
  Compare 6 and 11
  No swap needed
  Compare 11 and -35
  Swap 11 and -35
  List after swap: [-61, -37, -45, 6, -35, 11, -73, 16, 37, 55]
  Compare 11 and -73
  Swap 11 and -73
  List after swap: [-61, -37, -45, 6, -35, -73, 11, 16, 37, 55]

Pass 5:
  Compare -61 and -37
  No swap needed
  Compare -37 and -45
  Swap -37 and -45
  List after swap: [-61, -45, -37, 6, -35, -73, 11, 16, 37, 55]
  Compare -37 and 6
  No swap needed
  Compare 6 and -35
  Swap 6 and -35
  List after swap: [-61, -45, -37, -35, 6, -73, 11, 16, 37, 55]
  Compare 6 and -73
  Swap 6 and -73
  List after swap: [-61, -45, -37, -35, -73, 6, 11, 16, 37, 55]

Pass 6:
  Compare -61 and -45
  No swap needed
  Compare -45 and -37
  No swap needed
  Compare -37 and -35
  No swap needed
  Compare -35 and -73
  Swap -35 and -73
  List after swap: [-61, -45, -37, -73, -35, 6, 11, 16, 37, 55]

Pass 7:
  Compare -61 and -45
  No swap needed
  Compare -45 and -37
  No swap needed
  Compare -37 and -73
  Swap -37 and -73
  List after swap: [-61, -45, -73, -37, -35, 6, 11, 16, 37, 55]

Pass 8:
  Compare -61 and -45
  No swap needed
  Compare -45 and -73
  Swap -45 and -73
  List after swap: [-61, -73, -45, -37, -35, 6, 11, 16, 37, 55]

Pass 9:
  Compare -61 and -73
  Swap -61 and -73
  List after swap: [-73, -61, -45, -37, -35, 6, 11, 16, 37, 55]

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

Final sorted list: [-73, -61, -45, -37, -35, 6, 11, 16, 37, 55]
</think>

<response>-73, -61, -45, -37, -35, 6, 11, 16, 37, 55</response>


input: Sort these integers -28, -83, 39, 7, 27, 67, -22, 37 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-28, -83, 39, 7, 27, 67, -22, 37]

Pass 1:
  Compare -28 and -83
  Swap -28 and -83
  List after swap: [-83, -28, 39, 7, 27, 67, -22, 37]
  Compare -28 and 39
  No swap needed
  Compare 39 and 7
  Swap 39 and 7
  List after swap: [-83, -28, 7, 39, 27, 67, -22, 37]
  Compare 39 and 27
  Swap 39 and 27
  List after swap: [-83, -28, 7, 27, 39, 67, -22, 37]
  Compare 39 and 67
  No swap needed
  Compare 67 and -22
  Swap 67 and -22
  List after swap: [-83, -28, 7, 27, 39, -22, 67, 37]
  Compare 67 and 37
  Swap 67 and 37
  List after swap: [-83, -28, 7, 27, 39, -22, 37, 67]

Pass 2:
  Compare -83 and -28
  No swap needed
  Compare -28 and 7
  No swap needed
  Compare 7 and 27
  No swap needed
  Compare 27 and 39
  No swap needed
  Compare 39 and -22
  Swap 39 and -22
  List after swap: [-83, -28, 7, 27, -22, 39, 37, 67]
  Compare 39 and 37
  Swap 39 and 37
  List after swap: [-83, -28, 7, 27, -22, 37, 39, 67]

Pass 3:
  Compare -83 and -28
  No swap needed
  Compare -28 and 7
  No swap needed
  Compare 7 and 27
  No swap needed
  Compare 27 and -22
  Swap 27 and -22
  List after swap: [-83, -28, 7, -22, 27, 37, 39, 67]
  Compare 27 and 37
  No swap needed

Pass 4:
  Compare -83 and -28
  No swap needed
  Compare -28 and 7
  No swap needed
  Compare 7 and -22
  Swap 7 and -22
  List after swap: [-83, -28, -22, 7, 27, 37, 39, 67]
  Compare 7 and 27
  No swap needed

Pass 5:
  Compare -83 and -28
  No swap needed
  Compare -28 and -22
  No swap needed
  Compare -22 and 7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -28, -22, 7, 27, 37, 39, 67]
</think>

<response>-83, -28, -22, 7, 27, 37, 39, 67</response>


input: Carry out the bubble sort algorithm on 86, 22, 32, 71 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [86, 22, 32, 71]

Pass 1:
  Compare 86 and 22
  Swap 86 and 22
  List after swap: [22, 86, 32, 71]
  Compare 86 and 32
  Swap 86 and 32
  List after swap: [22, 32, 86, 71]
  Compare 86 and 71
  Swap 86 and 71
  List after swap: [22, 32, 71, 86]

Pass 2:
  Compare 22 and 32
  No swap needed
  Compare 32 and 71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [22, 32, 71, 86]
</think>

<response>22, 32, 71, 86</response>


input: Perform a bubble sort on the integers 87, 83, -66, 51, -75, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [87, 83, -66, 51, -75]

Pass 1:
  Compare 87 and 83
  Swap 87 and 83
  List after swap: [83, 87, -66, 51, -75]
  Compare 87 and -66
  Swap 87 and -66
  List after swap: [83, -66, 87, 51, -75]
  Compare 87 and 51
  Swap 87 and 51
  List after swap: [83, -66, 51, 87, -75]
  Compare 87 and -75
  Swap 87 and -75
  List after swap: [83, -66, 51, -75, 87]

Pass 2:
  Compare 83 and -66
  Swap 83 and -66
  List after swap: [-66, 83, 51, -75, 87]
  Compare 83 and 51
  Swap 83 and 51
  List after swap: [-66, 51, 83, -75, 87]
  Compare 83 and -75
  Swap 83 and -75
  List after swap: [-66, 51, -75, 83, 87]

Pass 3:
  Compare -66 and 51
  No swap needed
  Compare 51 and -75
  Swap 51 and -75
  List after swap: [-66, -75, 51, 83, 87]

Pass 4:
  Compare -66 and -75
  Swap -66 and -75
  List after swap: [-75, -66, 51, 83, 87]

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

Final sorted list: [-75, -66, 51, 83, 87]
</think>

<response>-75, -66, 51, 83, 87</response>


input: Carry out the bubble sort algorithm on 5, -74, 87, -32, 16, 84, 74 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [5, -74, 87, -32, 16, 84, 74]

Pass 1:
  Compare 5 and -74
  Swap 5 and -74
  List after swap: [-74, 5, 87, -32, 16, 84, 74]
  Compare 5 and 87
  No swap needed
  Compare 87 and -32
  Swap 87 and -32
  List after swap: [-74, 5, -32, 87, 16, 84, 74]
  Compare 87 and 16
  Swap 87 and 16
  List after swap: [-74, 5, -32, 16, 87, 84, 74]
  Compare 87 and 84
  Swap 87 and 84
  List after swap: [-74, 5, -32, 16, 84, 87, 74]
  Compare 87 and 74
  Swap 87 and 74
  List after swap: [-74, 5, -32, 16, 84, 74, 87]

Pass 2:
  Compare -74 and 5
  No swap needed
  Compare 5 and -32
  Swap 5 and -32
  List after swap: [-74, -32, 5, 16, 84, 74, 87]
  Compare 5 and 16
  No swap needed
  Compare 16 and 84
  No swap needed
  Compare 84 and 74
  Swap 84 and 74
  List after swap: [-74, -32, 5, 16, 74, 84, 87]

Pass 3:
  Compare -74 and -32
  No swap needed
  Compare -32 and 5
  No swap needed
  Compare 5 and 16
  No swap needed
  Compare 16 and 74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -32, 5, 16, 74, 84, 87]
</think>

<response>-74, -32, 5, 16, 74, 84, 87</response>


input: Arrange the numbers -63, -44, 69 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-63, -44, 69]

Pass 1:
  Compare -63 and -44
  No swap needed
  Compare -44 and 69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -44, 69]
</think>

<response>-63, -44, 69</response>


input: Execute bubble sort to sort -93, 93, 85, -71, -83, 48, -67, 21 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-93, 93, 85, -71, -83, 48, -67, 21]

Pass 1:
  Compare -93 and 93
  No swap needed
  Compare 93 and 85
  Swap 93 and 85
  List after swap: [-93, 85, 93, -71, -83, 48, -67, 21]
  Compare 93 and -71
  Swap 93 and -71
  List after swap: [-93, 85, -71, 93, -83, 48, -67, 21]
  Compare 93 and -83
  Swap 93 and -83
  List after swap: [-93, 85, -71, -83, 93, 48, -67, 21]
  Compare 93 and 48
  Swap 93 and 48
  List after swap: [-93, 85, -71, -83, 48, 93, -67, 21]
  Compare 93 and -67
  Swap 93 and -67
  List after swap: [-93, 85, -71, -83, 48, -67, 93, 21]
  Compare 93 and 21
  Swap 93 and 21
  List after swap: [-93, 85, -71, -83, 48, -67, 21, 93]

Pass 2:
  Compare -93 and 85
  No swap needed
  Compare 85 and -71
  Swap 85 and -71
  List after swap: [-93, -71, 85, -83, 48, -67, 21, 93]
  Compare 85 and -83
  Swap 85 and -83
  List after swap: [-93, -71, -83, 85, 48, -67, 21, 93]
  Compare 85 and 48
  Swap 85 and 48
  List after swap: [-93, -71, -83, 48, 85, -67, 21, 93]
  Compare 85 and -67
  Swap 85 and -67
  List after swap: [-93, -71, -83, 48, -67, 85, 21, 93]
  Compare 85 and 21
  Swap 85 and 21
  List after swap: [-93, -71, -83, 48, -67, 21, 85, 93]

Pass 3:
  Compare -93 and -71
  No swap needed
  Compare -71 and -83
  Swap -71 and -83
  List after swap: [-93, -83, -71, 48, -67, 21, 85, 93]
  Compare -71 and 48
  No swap needed
  Compare 48 and -67
  Swap 48 and -67
  List after swap: [-93, -83, -71, -67, 48, 21, 85, 93]
  Compare 48 and 21
  Swap 48 and 21
  List after swap: [-93, -83, -71, -67, 21, 48, 85, 93]

Pass 4:
  Compare -93 and -83
  No swap needed
  Compare -83 and -71
  No swap needed
  Compare -71 and -67
  No swap needed
  Compare -67 and 21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -83, -71, -67, 21, 48, 85, 93]
</think>

<response>-93, -83, -71, -67, 21, 48, 85, 93</response>


input: Carry out the bubble sort algorithm on 3, 23, -83, -78, -68, 71, -53, 97 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [3, 23, -83, -78, -68, 71, -53, 97]

Pass 1:
  Compare 3 and 23
  No swap needed
  Compare 23 and -83
  Swap 23 and -83
  List after swap: [3, -83, 23, -78, -68, 71, -53, 97]
  Compare 23 and -78
  Swap 23 and -78
  List after swap: [3, -83, -78, 23, -68, 71, -53, 97]
  Compare 23 and -68
  Swap 23 and -68
  List after swap: [3, -83, -78, -68, 23, 71, -53, 97]
  Compare 23 and 71
  No swap needed
  Compare 71 and -53
  Swap 71 and -53
  List after swap: [3, -83, -78, -68, 23, -53, 71, 97]
  Compare 71 and 97
  No swap needed

Pass 2:
  Compare 3 and -83
  Swap 3 and -83
  List after swap: [-83, 3, -78, -68, 23, -53, 71, 97]
  Compare 3 and -78
  Swap 3 and -78
  List after swap: [-83, -78, 3, -68, 23, -53, 71, 97]
  Compare 3 and -68
  Swap 3 and -68
  List after swap: [-83, -78, -68, 3, 23, -53, 71, 97]
  Compare 3 and 23
  No swap needed
  Compare 23 and -53
  Swap 23 and -53
  List after swap: [-83, -78, -68, 3, -53, 23, 71, 97]
  Compare 23 and 71
  No swap needed

Pass 3:
  Compare -83 and -78
  No swap needed
  Compare -78 and -68
  No swap needed
  Compare -68 and 3
  No swap needed
  Compare 3 and -53
  Swap 3 and -53
  List after swap: [-83, -78, -68, -53, 3, 23, 71, 97]
  Compare 3 and 23
  No swap needed

Pass 4:
  Compare -83 and -78
  No swap needed
  Compare -78 and -68
  No swap needed
  Compare -68 and -53
  No swap needed
  Compare -53 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -78, -68, -53, 3, 23, 71, 97]
</think>

<response>-83, -78, -68, -53, 3, 23, 71, 97</response>


input: Implement bubble sort on 59, -69, -7, -33, -81, 69, -97, 19 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [59, -69, -7, -33, -81, 69, -97, 19]

Pass 1:
  Compare 59 and -69
  Swap 59 and -69
  List after swap: [-69, 59, -7, -33, -81, 69, -97, 19]
  Compare 59 and -7
  Swap 59 and -7
  List after swap: [-69, -7, 59, -33, -81, 69, -97, 19]
  Compare 59 and -33
  Swap 59 and -33
  List after swap: [-69, -7, -33, 59, -81, 69, -97, 19]
  Compare 59 and -81
  Swap 59 and -81
  List after swap: [-69, -7, -33, -81, 59, 69, -97, 19]
  Compare 59 and 69
  No swap needed
  Compare 69 and -97
  Swap 69 and -97
  List after swap: [-69, -7, -33, -81, 59, -97, 69, 19]
  Compare 69 and 19
  Swap 69 and 19
  List after swap: [-69, -7, -33, -81, 59, -97, 19, 69]

Pass 2:
  Compare -69 and -7
  No swap needed
  Compare -7 and -33
  Swap -7 and -33
  List after swap: [-69, -33, -7, -81, 59, -97, 19, 69]
  Compare -7 and -81
  Swap -7 and -81
  List after swap: [-69, -33, -81, -7, 59, -97, 19, 69]
  Compare -7 and 59
  No swap needed
  Compare 59 and -97
  Swap 59 and -97
  List after swap: [-69, -33, -81, -7, -97, 59, 19, 69]
  Compare 59 and 19
  Swap 59 and 19
  List after swap: [-69, -33, -81, -7, -97, 19, 59, 69]

Pass 3:
  Compare -69 and -33
  No swap needed
  Compare -33 and -81
  Swap -33 and -81
  List after swap: [-69, -81, -33, -7, -97, 19, 59, 69]
  Compare -33 and -7
  No swap needed
  Compare -7 and -97
  Swap -7 and -97
  List after swap: [-69, -81, -33, -97, -7, 19, 59, 69]
  Compare -7 and 19
  No swap needed

Pass 4:
  Compare -69 and -81
  Swap -69 and -81
  List after swap: [-81, -69, -33, -97, -7, 19, 59, 69]
  Compare -69 and -33
  No swap needed
  Compare -33 and -97
  Swap -33 and -97
  List after swap: [-81, -69, -97, -33, -7, 19, 59, 69]
  Compare -33 and -7
  No swap needed

Pass 5:
  Compare -81 and -69
  No swap needed
  Compare -69 and -97
  Swap -69 and -97
  List after swap: [-81, -97, -69, -33, -7, 19, 59, 69]
  Compare -69 and -33
  No swap needed

Pass 6:
  Compare -81 and -97
  Swap -81 and -97
  List after swap: [-97, -81, -69, -33, -7, 19, 59, 69]
  Compare -81 and -69
  No swap needed

Pass 7:
  Compare -97 and -81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -81, -69, -33, -7, 19, 59, 69]
</think>

<response>-97, -81, -69, -33, -7, 19, 59, 69</response>


input: Sort these integers 47, 11, -72, -74, 66, -42 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [47, 11, -72, -74, 66, -42]

Pass 1:
  Compare 47 and 11
  Swap 47 and 11
  List after swap: [11, 47, -72, -74, 66, -42]
  Compare 47 and -72
  Swap 47 and -72
  List after swap: [11, -72, 47, -74, 66, -42]
  Compare 47 and -74
  Swap 47 and -74
  List after swap: [11, -72, -74, 47, 66, -42]
  Compare 47 and 66
  No swap needed
  Compare 66 and -42
  Swap 66 and -42
  List after swap: [11, -72, -74, 47, -42, 66]

Pass 2:
  Compare 11 and -72
  Swap 11 and -72
  List after swap: [-72, 11, -74, 47, -42, 66]
  Compare 11 and -74
  Swap 11 and -74
  List after swap: [-72, -74, 11, 47, -42, 66]
  Compare 11 and 47
  No swap needed
  Compare 47 and -42
  Swap 47 and -42
  List after swap: [-72, -74, 11, -42, 47, 66]

Pass 3:
  Compare -72 and -74
  Swap -72 and -74
  List after swap: [-74, -72, 11, -42, 47, 66]
  Compare -72 and 11
  No swap needed
  Compare 11 and -42
  Swap 11 and -42
  List after swap: [-74, -72, -42, 11, 47, 66]

Pass 4:
  Compare -74 and -72
  No swap needed
  Compare -72 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -72, -42, 11, 47, 66]
</think>

<response>-74, -72, -42, 11, 47, 66</response>


input: Sort the list 62, 99, 8, -78, 71, -24, 95, 45 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [62, 99, 8, -78, 71, -24, 95, 45]

Pass 1:
  Compare 62 and 99
  No swap needed
  Compare 99 and 8
  Swap 99 and 8
  List after swap: [62, 8, 99, -78, 71, -24, 95, 45]
  Compare 99 and -78
  Swap 99 and -78
  List after swap: [62, 8, -78, 99, 71, -24, 95, 45]
  Compare 99 and 71
  Swap 99 and 71
  List after swap: [62, 8, -78, 71, 99, -24, 95, 45]
  Compare 99 and -24
  Swap 99 and -24
  List after swap: [62, 8, -78, 71, -24, 99, 95, 45]
  Compare 99 and 95
  Swap 99 and 95
  List after swap: [62, 8, -78, 71, -24, 95, 99, 45]
  Compare 99 and 45
  Swap 99 and 45
  List after swap: [62, 8, -78, 71, -24, 95, 45, 99]

Pass 2:
  Compare 62 and 8
  Swap 62 and 8
  List after swap: [8, 62, -78, 71, -24, 95, 45, 99]
  Compare 62 and -78
  Swap 62 and -78
  List after swap: [8, -78, 62, 71, -24, 95, 45, 99]
  Compare 62 and 71
  No swap needed
  Compare 71 and -24
  Swap 71 and -24
  List after swap: [8, -78, 62, -24, 71, 95, 45, 99]
  Compare 71 and 95
  No swap needed
  Compare 95 and 45
  Swap 95 and 45
  List after swap: [8, -78, 62, -24, 71, 45, 95, 99]

Pass 3:
  Compare 8 and -78
  Swap 8 and -78
  List after swap: [-78, 8, 62, -24, 71, 45, 95, 99]
  Compare 8 and 62
  No swap needed
  Compare 62 and -24
  Swap 62 and -24
  List after swap: [-78, 8, -24, 62, 71, 45, 95, 99]
  Compare 62 and 71
  No swap needed
  Compare 71 and 45
  Swap 71 and 45
  List after swap: [-78, 8, -24, 62, 45, 71, 95, 99]

Pass 4:
  Compare -78 and 8
  No swap needed
  Compare 8 and -24
  Swap 8 and -24
  List after swap: [-78, -24, 8, 62, 45, 71, 95, 99]
  Compare 8 and 62
  No swap needed
  Compare 62 and 45
  Swap 62 and 45
  List after swap: [-78, -24, 8, 45, 62, 71, 95, 99]

Pass 5:
  Compare -78 and -24
  No swap needed
  Compare -24 and 8
  No swap needed
  Compare 8 and 45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -24, 8, 45, 62, 71, 95, 99]
</think>

<response>-78, -24, 8, 45, 62, 71, 95, 99</response>


input: Implement bubble sort on 39, -9, 26, -16, -24 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [39, -9, 26, -16, -24]

Pass 1:
  Compare 39 and -9
  Swap 39 and -9
  List after swap: [-9, 39, 26, -16, -24]
  Compare 39 and 26
  Swap 39 and 26
  List after swap: [-9, 26, 39, -16, -24]
  Compare 39 and -16
  Swap 39 and -16
  List after swap: [-9, 26, -16, 39, -24]
  Compare 39 and -24
  Swap 39 and -24
  List after swap: [-9, 26, -16, -24, 39]

Pass 2:
  Compare -9 and 26
  No swap needed
  Compare 26 and -16
  Swap 26 and -16
  List after swap: [-9, -16, 26, -24, 39]
  Compare 26 and -24
  Swap 26 and -24
  List after swap: [-9, -16, -24, 26, 39]

Pass 3:
  Compare -9 and -16
  Swap -9 and -16
  List after swap: [-16, -9, -24, 26, 39]
  Compare -9 and -24
  Swap -9 and -24
  List after swap: [-16, -24, -9, 26, 39]

Pass 4:
  Compare -16 and -24
  Swap -16 and -24
  List after swap: [-24, -16, -9, 26, 39]

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

Final sorted list: [-24, -16, -9, 26, 39]
</think>

<response>-24, -16, -9, 26, 39</response>


input: Implement bubble sort on 45, 42, 18, 90, -81, -67, 48 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [45, 42, 18, 90, -81, -67, 48]

Pass 1:
  Compare 45 and 42
  Swap 45 and 42
  List after swap: [42, 45, 18, 90, -81, -67, 48]
  Compare 45 and 18
  Swap 45 and 18
  List after swap: [42, 18, 45, 90, -81, -67, 48]
  Compare 45 and 90
  No swap needed
  Compare 90 and -81
  Swap 90 and -81
  List after swap: [42, 18, 45, -81, 90, -67, 48]
  Compare 90 and -67
  Swap 90 and -67
  List after swap: [42, 18, 45, -81, -67, 90, 48]
  Compare 90 and 48
  Swap 90 and 48
  List after swap: [42, 18, 45, -81, -67, 48, 90]

Pass 2:
  Compare 42 and 18
  Swap 42 and 18
  List after swap: [18, 42, 45, -81, -67, 48, 90]
  Compare 42 and 45
  No swap needed
  Compare 45 and -81
  Swap 45 and -81
  List after swap: [18, 42, -81, 45, -67, 48, 90]
  Compare 45 and -67
  Swap 45 and -67
  List after swap: [18, 42, -81, -67, 45, 48, 90]
  Compare 45 and 48
  No swap needed

Pass 3:
  Compare 18 and 42
  No swap needed
  Compare 42 and -81
  Swap 42 and -81
  List after swap: [18, -81, 42, -67, 45, 48, 90]
  Compare 42 and -67
  Swap 42 and -67
  List after swap: [18, -81, -67, 42, 45, 48, 90]
  Compare 42 and 45
  No swap needed

Pass 4:
  Compare 18 and -81
  Swap 18 and -81
  List after swap: [-81, 18, -67, 42, 45, 48, 90]
  Compare 18 and -67
  Swap 18 and -67
  List after swap: [-81, -67, 18, 42, 45, 48, 90]
  Compare 18 and 42
  No swap needed

Pass 5:
  Compare -81 and -67
  No swap needed
  Compare -67 and 18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -67, 18, 42, 45, 48, 90]
</think>

<response>-81, -67, 18, 42, 45, 48, 90</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -61, 6, -95, 86, -98.

output:
<think>
Initial list: [-61, 6, -95, 86, -98]

Pass 1:
  Compare -61 and 6
  No swap needed
  Compare 6 and -95
  Swap 6 and -95
  List after swap: [-61, -95, 6, 86, -98]
  Compare 6 and 86
  No swap needed
  Compare 86 and -98
  Swap 86 and -98
  List after swap: [-61, -95, 6, -98, 86]

Pass 2:
  Compare -61 and -95
  Swap -61 and -95
  List after swap: [-95, -61, 6, -98, 86]
  Compare -61 and 6
  No swap needed
  Compare 6 and -98
  Swap 6 and -98
  List after swap: [-95, -61, -98, 6, 86]

Pass 3:
  Compare -95 and -61
  No swap needed
  Compare -61 and -98
  Swap -61 and -98
  List after swap: [-95, -98, -61, 6, 86]

Pass 4:
  Compare -95 and -98
  Swap -95 and -98
  List after swap: [-98, -95, -61, 6, 86]

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

Final sorted list: [-98, -95, -61, 6, 86]
</think>

<response>-98, -95, -61, 6, 86</response>


input: Using the bubble sort method, sort -82, 93, 39, -88, 28, -24 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-82, 93, 39, -88, 28, -24]

Pass 1:
  Compare -82 and 93
  No swap needed
  Compare 93 and 39
  Swap 93 and 39
  List after swap: [-82, 39, 93, -88, 28, -24]
  Compare 93 and -88
  Swap 93 and -88
  List after swap: [-82, 39, -88, 93, 28, -24]
  Compare 93 and 28
  Swap 93 and 28
  List after swap: [-82, 39, -88, 28, 93, -24]
  Compare 93 and -24
  Swap 93 and -24
  List after swap: [-82, 39, -88, 28, -24, 93]

Pass 2:
  Compare -82 and 39
  No swap needed
  Compare 39 and -88
  Swap 39 and -88
  List after swap: [-82, -88, 39, 28, -24, 93]
  Compare 39 and 28
  Swap 39 and 28
  List after swap: [-82, -88, 28, 39, -24, 93]
  Compare 39 and -24
  Swap 39 and -24
  List after swap: [-82, -88, 28, -24, 39, 93]

Pass 3:
  Compare -82 and -88
  Swap -82 and -88
  List after swap: [-88, -82, 28, -24, 39, 93]
  Compare -82 and 28
  No swap needed
  Compare 28 and -24
  Swap 28 and -24
  List after swap: [-88, -82, -24, 28, 39, 93]

Pass 4:
  Compare -88 and -82
  No swap needed
  Compare -82 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -82, -24, 28, 39, 93]
</think>

<response>-88, -82, -24, 28, 39, 93</response>