input: Demonstrate how bubble sort orders the integers -70, -7, -88, 91, 80, -37, 49, 68, -21 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-70, -7, -88, 91, 80, -37, 49, 68, -21]

Pass 1:
  Compare -70 and -7
  No swap needed
  Compare -7 and -88
  Swap -7 and -88
  List after swap: [-70, -88, -7, 91, 80, -37, 49, 68, -21]
  Compare -7 and 91
  No swap needed
  Compare 91 and 80
  Swap 91 and 80
  List after swap: [-70, -88, -7, 80, 91, -37, 49, 68, -21]
  Compare 91 and -37
  Swap 91 and -37
  List after swap: [-70, -88, -7, 80, -37, 91, 49, 68, -21]
  Compare 91 and 49
  Swap 91 and 49
  List after swap: [-70, -88, -7, 80, -37, 49, 91, 68, -21]
  Compare 91 and 68
  Swap 91 and 68
  List after swap: [-70, -88, -7, 80, -37, 49, 68, 91, -21]
  Compare 91 and -21
  Swap 91 and -21
  List after swap: [-70, -88, -7, 80, -37, 49, 68, -21, 91]

Pass 2:
  Compare -70 and -88
  Swap -70 and -88
  List after swap: [-88, -70, -7, 80, -37, 49, 68, -21, 91]
  Compare -70 and -7
  No swap needed
  Compare -7 and 80
  No swap needed
  Compare 80 and -37
  Swap 80 and -37
  List after swap: [-88, -70, -7, -37, 80, 49, 68, -21, 91]
  Compare 80 and 49
  Swap 80 and 49
  List after swap: [-88, -70, -7, -37, 49, 80, 68, -21, 91]
  Compare 80 and 68
  Swap 80 and 68
  List after swap: [-88, -70, -7, -37, 49, 68, 80, -21, 91]
  Compare 80 and -21
  Swap 80 and -21
  List after swap: [-88, -70, -7, -37, 49, 68, -21, 80, 91]

Pass 3:
  Compare -88 and -70
  No swap needed
  Compare -70 and -7
  No swap needed
  Compare -7 and -37
  Swap -7 and -37
  List after swap: [-88, -70, -37, -7, 49, 68, -21, 80, 91]
  Compare -7 and 49
  No swap needed
  Compare 49 and 68
  No swap needed
  Compare 68 and -21
  Swap 68 and -21
  List after swap: [-88, -70, -37, -7, 49, -21, 68, 80, 91]

Pass 4:
  Compare -88 and -70
  No swap needed
  Compare -70 and -37
  No swap needed
  Compare -37 and -7
  No swap needed
  Compare -7 and 49
  No swap needed
  Compare 49 and -21
  Swap 49 and -21
  List after swap: [-88, -70, -37, -7, -21, 49, 68, 80, 91]

Pass 5:
  Compare -88 and -70
  No swap needed
  Compare -70 and -37
  No swap needed
  Compare -37 and -7
  No swap needed
  Compare -7 and -21
  Swap -7 and -21
  List after swap: [-88, -70, -37, -21, -7, 49, 68, 80, 91]

Pass 6:
  Compare -88 and -70
  No swap needed
  Compare -70 and -37
  No swap needed
  Compare -37 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -70, -37, -21, -7, 49, 68, 80, 91]
</think>

<response>-88, -70, -37, -21, -7, 49, 68, 80, 91</response>


input: Arrange the numbers 27, -63, -93, -96, 35, -44, 56, 15 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [27, -63, -93, -96, 35, -44, 56, 15]

Pass 1:
  Compare 27 and -63
  Swap 27 and -63
  List after swap: [-63, 27, -93, -96, 35, -44, 56, 15]
  Compare 27 and -93
  Swap 27 and -93
  List after swap: [-63, -93, 27, -96, 35, -44, 56, 15]
  Compare 27 and -96
  Swap 27 and -96
  List after swap: [-63, -93, -96, 27, 35, -44, 56, 15]
  Compare 27 and 35
  No swap needed
  Compare 35 and -44
  Swap 35 and -44
  List after swap: [-63, -93, -96, 27, -44, 35, 56, 15]
  Compare 35 and 56
  No swap needed
  Compare 56 and 15
  Swap 56 and 15
  List after swap: [-63, -93, -96, 27, -44, 35, 15, 56]

Pass 2:
  Compare -63 and -93
  Swap -63 and -93
  List after swap: [-93, -63, -96, 27, -44, 35, 15, 56]
  Compare -63 and -96
  Swap -63 and -96
  List after swap: [-93, -96, -63, 27, -44, 35, 15, 56]
  Compare -63 and 27
  No swap needed
  Compare 27 and -44
  Swap 27 and -44
  List after swap: [-93, -96, -63, -44, 27, 35, 15, 56]
  Compare 27 and 35
  No swap needed
  Compare 35 and 15
  Swap 35 and 15
  List after swap: [-93, -96, -63, -44, 27, 15, 35, 56]

Pass 3:
  Compare -93 and -96
  Swap -93 and -96
  List after swap: [-96, -93, -63, -44, 27, 15, 35, 56]
  Compare -93 and -63
  No swap needed
  Compare -63 and -44
  No swap needed
  Compare -44 and 27
  No swap needed
  Compare 27 and 15
  Swap 27 and 15
  List after swap: [-96, -93, -63, -44, 15, 27, 35, 56]

Pass 4:
  Compare -96 and -93
  No swap needed
  Compare -93 and -63
  No swap needed
  Compare -63 and -44
  No swap needed
  Compare -44 and 15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -93, -63, -44, 15, 27, 35, 56]
</think>

<response>-96, -93, -63, -44, 15, 27, 35, 56</response>


input: Demonstrate how bubble sort orders the integers -50, -29, -8, 9 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-50, -29, -8, 9]

Pass 1:
  Compare -50 and -29
  No swap needed
  Compare -29 and -8
  No swap needed
  Compare -8 and 9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, -29, -8, 9]
</think>

<response>-50, -29, -8, 9</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -18, 97, 91, -97, -51, 18.

output:
<think>
Initial list: [-18, 97, 91, -97, -51, 18]

Pass 1:
  Compare -18 and 97
  No swap needed
  Compare 97 and 91
  Swap 97 and 91
  List after swap: [-18, 91, 97, -97, -51, 18]
  Compare 97 and -97
  Swap 97 and -97
  List after swap: [-18, 91, -97, 97, -51, 18]
  Compare 97 and -51
  Swap 97 and -51
  List after swap: [-18, 91, -97, -51, 97, 18]
  Compare 97 and 18
  Swap 97 and 18
  List after swap: [-18, 91, -97, -51, 18, 97]

Pass 2:
  Compare -18 and 91
  No swap needed
  Compare 91 and -97
  Swap 91 and -97
  List after swap: [-18, -97, 91, -51, 18, 97]
  Compare 91 and -51
  Swap 91 and -51
  List after swap: [-18, -97, -51, 91, 18, 97]
  Compare 91 and 18
  Swap 91 and 18
  List after swap: [-18, -97, -51, 18, 91, 97]

Pass 3:
  Compare -18 and -97
  Swap -18 and -97
  List after swap: [-97, -18, -51, 18, 91, 97]
  Compare -18 and -51
  Swap -18 and -51
  List after swap: [-97, -51, -18, 18, 91, 97]
  Compare -18 and 18
  No swap needed

Pass 4:
  Compare -97 and -51
  No swap needed
  Compare -51 and -18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -51, -18, 18, 91, 97]
</think>

<response>-97, -51, -18, 18, 91, 97</response>


input: Sort the list -22, 24, 30, 95 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-22, 24, 30, 95]

Pass 1:
  Compare -22 and 24
  No swap needed
  Compare 24 and 30
  No swap needed
  Compare 30 and 95
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-22, 24, 30, 95]
</think>

<response>-22, 24, 30, 95</response>


input: Sort these integers -17, -84, -67 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-17, -84, -67]

Pass 1:
  Compare -17 and -84
  Swap -17 and -84
  List after swap: [-84, -17, -67]
  Compare -17 and -67
  Swap -17 and -67
  List after swap: [-84, -67, -17]

Pass 2:
  Compare -84 and -67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -67, -17]
</think>

<response>-84, -67, -17</response>


input: Demonstrate how bubble sort orders the integers 5, 69, -35, -4, 23, 1, -36, -34, 45 in ascending sequence, showing all steps.

output:
<think>
Initial list: [5, 69, -35, -4, 23, 1, -36, -34, 45]

Pass 1:
  Compare 5 and 69
  No swap needed
  Compare 69 and -35
  Swap 69 and -35
  List after swap: [5, -35, 69, -4, 23, 1, -36, -34, 45]
  Compare 69 and -4
  Swap 69 and -4
  List after swap: [5, -35, -4, 69, 23, 1, -36, -34, 45]
  Compare 69 and 23
  Swap 69 and 23
  List after swap: [5, -35, -4, 23, 69, 1, -36, -34, 45]
  Compare 69 and 1
  Swap 69 and 1
  List after swap: [5, -35, -4, 23, 1, 69, -36, -34, 45]
  Compare 69 and -36
  Swap 69 and -36
  List after swap: [5, -35, -4, 23, 1, -36, 69, -34, 45]
  Compare 69 and -34
  Swap 69 and -34
  List after swap: [5, -35, -4, 23, 1, -36, -34, 69, 45]
  Compare 69 and 45
  Swap 69 and 45
  List after swap: [5, -35, -4, 23, 1, -36, -34, 45, 69]

Pass 2:
  Compare 5 and -35
  Swap 5 and -35
  List after swap: [-35, 5, -4, 23, 1, -36, -34, 45, 69]
  Compare 5 and -4
  Swap 5 and -4
  List after swap: [-35, -4, 5, 23, 1, -36, -34, 45, 69]
  Compare 5 and 23
  No swap needed
  Compare 23 and 1
  Swap 23 and 1
  List after swap: [-35, -4, 5, 1, 23, -36, -34, 45, 69]
  Compare 23 and -36
  Swap 23 and -36
  List after swap: [-35, -4, 5, 1, -36, 23, -34, 45, 69]
  Compare 23 and -34
  Swap 23 and -34
  List after swap: [-35, -4, 5, 1, -36, -34, 23, 45, 69]
  Compare 23 and 45
  No swap needed

Pass 3:
  Compare -35 and -4
  No swap needed
  Compare -4 and 5
  No swap needed
  Compare 5 and 1
  Swap 5 and 1
  List after swap: [-35, -4, 1, 5, -36, -34, 23, 45, 69]
  Compare 5 and -36
  Swap 5 and -36
  List after swap: [-35, -4, 1, -36, 5, -34, 23, 45, 69]
  Compare 5 and -34
  Swap 5 and -34
  List after swap: [-35, -4, 1, -36, -34, 5, 23, 45, 69]
  Compare 5 and 23
  No swap needed

Pass 4:
  Compare -35 and -4
  No swap needed
  Compare -4 and 1
  No swap needed
  Compare 1 and -36
  Swap 1 and -36
  List after swap: [-35, -4, -36, 1, -34, 5, 23, 45, 69]
  Compare 1 and -34
  Swap 1 and -34
  List after swap: [-35, -4, -36, -34, 1, 5, 23, 45, 69]
  Compare 1 and 5
  No swap needed

Pass 5:
  Compare -35 and -4
  No swap needed
  Compare -4 and -36
  Swap -4 and -36
  List after swap: [-35, -36, -4, -34, 1, 5, 23, 45, 69]
  Compare -4 and -34
  Swap -4 and -34
  List after swap: [-35, -36, -34, -4, 1, 5, 23, 45, 69]
  Compare -4 and 1
  No swap needed

Pass 6:
  Compare -35 and -36
  Swap -35 and -36
  List after swap: [-36, -35, -34, -4, 1, 5, 23, 45, 69]
  Compare -35 and -34
  No swap needed
  Compare -34 and -4
  No swap needed

Pass 7:
  Compare -36 and -35
  No swap needed
  Compare -35 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-36, -35, -34, -4, 1, 5, 23, 45, 69]
</think>

<response>-36, -35, -34, -4, 1, 5, 23, 45, 69</response>


input: Use the bubble sort technique to reorder -49, 24 into ascending order, and write down each step of the procedure.

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

Pass 1:
  Compare -49 and 24
  No swap needed
  No swaps in this pass, list is sorted.

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

<response>-49, 24</response>


input: Execute bubble sort to sort -90, -58 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-90, -58]

Pass 1:
  Compare -90 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -58]
</think>

<response>-90, -58</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -64, -56, -68, 64.

output:
<think>
Initial list: [-64, -56, -68, 64]

Pass 1:
  Compare -64 and -56
  No swap needed
  Compare -56 and -68
  Swap -56 and -68
  List after swap: [-64, -68, -56, 64]
  Compare -56 and 64
  No swap needed

Pass 2:
  Compare -64 and -68
  Swap -64 and -68
  List after swap: [-68, -64, -56, 64]
  Compare -64 and -56
  No swap needed

Pass 3:
  Compare -68 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -64, -56, 64]
</think>

<response>-68, -64, -56, 64</response>


input: Carry out the bubble sort algorithm on -25, 36, -30, -64, 18 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-25, 36, -30, -64, 18]

Pass 1:
  Compare -25 and 36
  No swap needed
  Compare 36 and -30
  Swap 36 and -30
  List after swap: [-25, -30, 36, -64, 18]
  Compare 36 and -64
  Swap 36 and -64
  List after swap: [-25, -30, -64, 36, 18]
  Compare 36 and 18
  Swap 36 and 18
  List after swap: [-25, -30, -64, 18, 36]

Pass 2:
  Compare -25 and -30
  Swap -25 and -30
  List after swap: [-30, -25, -64, 18, 36]
  Compare -25 and -64
  Swap -25 and -64
  List after swap: [-30, -64, -25, 18, 36]
  Compare -25 and 18
  No swap needed

Pass 3:
  Compare -30 and -64
  Swap -30 and -64
  List after swap: [-64, -30, -25, 18, 36]
  Compare -30 and -25
  No swap needed

Pass 4:
  Compare -64 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -30, -25, 18, 36]
</think>

<response>-64, -30, -25, 18, 36</response>


input: Implement bubble sort on -56, 11, 6, -54, -15 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-56, 11, 6, -54, -15]

Pass 1:
  Compare -56 and 11
  No swap needed
  Compare 11 and 6
  Swap 11 and 6
  List after swap: [-56, 6, 11, -54, -15]
  Compare 11 and -54
  Swap 11 and -54
  List after swap: [-56, 6, -54, 11, -15]
  Compare 11 and -15
  Swap 11 and -15
  List after swap: [-56, 6, -54, -15, 11]

Pass 2:
  Compare -56 and 6
  No swap needed
  Compare 6 and -54
  Swap 6 and -54
  List after swap: [-56, -54, 6, -15, 11]
  Compare 6 and -15
  Swap 6 and -15
  List after swap: [-56, -54, -15, 6, 11]

Pass 3:
  Compare -56 and -54
  No swap needed
  Compare -54 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -54, -15, 6, 11]
</think>

<response>-56, -54, -15, 6, 11</response>


input: Carry out the bubble sort algorithm on -97, 26, 46, 99, 77, -36, 85, -90, -32 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-97, 26, 46, 99, 77, -36, 85, -90, -32]

Pass 1:
  Compare -97 and 26
  No swap needed
  Compare 26 and 46
  No swap needed
  Compare 46 and 99
  No swap needed
  Compare 99 and 77
  Swap 99 and 77
  List after swap: [-97, 26, 46, 77, 99, -36, 85, -90, -32]
  Compare 99 and -36
  Swap 99 and -36
  List after swap: [-97, 26, 46, 77, -36, 99, 85, -90, -32]
  Compare 99 and 85
  Swap 99 and 85
  List after swap: [-97, 26, 46, 77, -36, 85, 99, -90, -32]
  Compare 99 and -90
  Swap 99 and -90
  List after swap: [-97, 26, 46, 77, -36, 85, -90, 99, -32]
  Compare 99 and -32
  Swap 99 and -32
  List after swap: [-97, 26, 46, 77, -36, 85, -90, -32, 99]

Pass 2:
  Compare -97 and 26
  No swap needed
  Compare 26 and 46
  No swap needed
  Compare 46 and 77
  No swap needed
  Compare 77 and -36
  Swap 77 and -36
  List after swap: [-97, 26, 46, -36, 77, 85, -90, -32, 99]
  Compare 77 and 85
  No swap needed
  Compare 85 and -90
  Swap 85 and -90
  List after swap: [-97, 26, 46, -36, 77, -90, 85, -32, 99]
  Compare 85 and -32
  Swap 85 and -32
  List after swap: [-97, 26, 46, -36, 77, -90, -32, 85, 99]

Pass 3:
  Compare -97 and 26
  No swap needed
  Compare 26 and 46
  No swap needed
  Compare 46 and -36
  Swap 46 and -36
  List after swap: [-97, 26, -36, 46, 77, -90, -32, 85, 99]
  Compare 46 and 77
  No swap needed
  Compare 77 and -90
  Swap 77 and -90
  List after swap: [-97, 26, -36, 46, -90, 77, -32, 85, 99]
  Compare 77 and -32
  Swap 77 and -32
  List after swap: [-97, 26, -36, 46, -90, -32, 77, 85, 99]

Pass 4:
  Compare -97 and 26
  No swap needed
  Compare 26 and -36
  Swap 26 and -36
  List after swap: [-97, -36, 26, 46, -90, -32, 77, 85, 99]
  Compare 26 and 46
  No swap needed
  Compare 46 and -90
  Swap 46 and -90
  List after swap: [-97, -36, 26, -90, 46, -32, 77, 85, 99]
  Compare 46 and -32
  Swap 46 and -32
  List after swap: [-97, -36, 26, -90, -32, 46, 77, 85, 99]

Pass 5:
  Compare -97 and -36
  No swap needed
  Compare -36 and 26
  No swap needed
  Compare 26 and -90
  Swap 26 and -90
  List after swap: [-97, -36, -90, 26, -32, 46, 77, 85, 99]
  Compare 26 and -32
  Swap 26 and -32
  List after swap: [-97, -36, -90, -32, 26, 46, 77, 85, 99]

Pass 6:
  Compare -97 and -36
  No swap needed
  Compare -36 and -90
  Swap -36 and -90
  List after swap: [-97, -90, -36, -32, 26, 46, 77, 85, 99]
  Compare -36 and -32
  No swap needed

Pass 7:
  Compare -97 and -90
  No swap needed
  Compare -90 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -90, -36, -32, 26, 46, 77, 85, 99]
</think>

<response>-97, -90, -36, -32, 26, 46, 77, 85, 99</response>


input: Sort the list -9, -12, -20, -48, -19, -65, 7 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-9, -12, -20, -48, -19, -65, 7]

Pass 1:
  Compare -9 and -12
  Swap -9 and -12
  List after swap: [-12, -9, -20, -48, -19, -65, 7]
  Compare -9 and -20
  Swap -9 and -20
  List after swap: [-12, -20, -9, -48, -19, -65, 7]
  Compare -9 and -48
  Swap -9 and -48
  List after swap: [-12, -20, -48, -9, -19, -65, 7]
  Compare -9 and -19
  Swap -9 and -19
  List after swap: [-12, -20, -48, -19, -9, -65, 7]
  Compare -9 and -65
  Swap -9 and -65
  List after swap: [-12, -20, -48, -19, -65, -9, 7]
  Compare -9 and 7
  No swap needed

Pass 2:
  Compare -12 and -20
  Swap -12 and -20
  List after swap: [-20, -12, -48, -19, -65, -9, 7]
  Compare -12 and -48
  Swap -12 and -48
  List after swap: [-20, -48, -12, -19, -65, -9, 7]
  Compare -12 and -19
  Swap -12 and -19
  List after swap: [-20, -48, -19, -12, -65, -9, 7]
  Compare -12 and -65
  Swap -12 and -65
  List after swap: [-20, -48, -19, -65, -12, -9, 7]
  Compare -12 and -9
  No swap needed

Pass 3:
  Compare -20 and -48
  Swap -20 and -48
  List after swap: [-48, -20, -19, -65, -12, -9, 7]
  Compare -20 and -19
  No swap needed
  Compare -19 and -65
  Swap -19 and -65
  List after swap: [-48, -20, -65, -19, -12, -9, 7]
  Compare -19 and -12
  No swap needed

Pass 4:
  Compare -48 and -20
  No swap needed
  Compare -20 and -65
  Swap -20 and -65
  List after swap: [-48, -65, -20, -19, -12, -9, 7]
  Compare -20 and -19
  No swap needed

Pass 5:
  Compare -48 and -65
  Swap -48 and -65
  List after swap: [-65, -48, -20, -19, -12, -9, 7]
  Compare -48 and -20
  No swap needed

Pass 6:
  Compare -65 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -48, -20, -19, -12, -9, 7]
</think>

<response>-65, -48, -20, -19, -12, -9, 7</response>


input: Sort these integers 21, 59, -90, 76 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [21, 59, -90, 76]

Pass 1:
  Compare 21 and 59
  No swap needed
  Compare 59 and -90
  Swap 59 and -90
  List after swap: [21, -90, 59, 76]
  Compare 59 and 76
  No swap needed

Pass 2:
  Compare 21 and -90
  Swap 21 and -90
  List after swap: [-90, 21, 59, 76]
  Compare 21 and 59
  No swap needed

Pass 3:
  Compare -90 and 21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, 21, 59, 76]
</think>

<response>-90, 21, 59, 76</response>


input: Sort the list 78, -50, -41, 29, -97, -12, 67, -54, -37, -25 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [78, -50, -41, 29, -97, -12, 67, -54, -37, -25]

Pass 1:
  Compare 78 and -50
  Swap 78 and -50
  List after swap: [-50, 78, -41, 29, -97, -12, 67, -54, -37, -25]
  Compare 78 and -41
  Swap 78 and -41
  List after swap: [-50, -41, 78, 29, -97, -12, 67, -54, -37, -25]
  Compare 78 and 29
  Swap 78 and 29
  List after swap: [-50, -41, 29, 78, -97, -12, 67, -54, -37, -25]
  Compare 78 and -97
  Swap 78 and -97
  List after swap: [-50, -41, 29, -97, 78, -12, 67, -54, -37, -25]
  Compare 78 and -12
  Swap 78 and -12
  List after swap: [-50, -41, 29, -97, -12, 78, 67, -54, -37, -25]
  Compare 78 and 67
  Swap 78 and 67
  List after swap: [-50, -41, 29, -97, -12, 67, 78, -54, -37, -25]
  Compare 78 and -54
  Swap 78 and -54
  List after swap: [-50, -41, 29, -97, -12, 67, -54, 78, -37, -25]
  Compare 78 and -37
  Swap 78 and -37
  List after swap: [-50, -41, 29, -97, -12, 67, -54, -37, 78, -25]
  Compare 78 and -25
  Swap 78 and -25
  List after swap: [-50, -41, 29, -97, -12, 67, -54, -37, -25, 78]

Pass 2:
  Compare -50 and -41
  No swap needed
  Compare -41 and 29
  No swap needed
  Compare 29 and -97
  Swap 29 and -97
  List after swap: [-50, -41, -97, 29, -12, 67, -54, -37, -25, 78]
  Compare 29 and -12
  Swap 29 and -12
  List after swap: [-50, -41, -97, -12, 29, 67, -54, -37, -25, 78]
  Compare 29 and 67
  No swap needed
  Compare 67 and -54
  Swap 67 and -54
  List after swap: [-50, -41, -97, -12, 29, -54, 67, -37, -25, 78]
  Compare 67 and -37
  Swap 67 and -37
  List after swap: [-50, -41, -97, -12, 29, -54, -37, 67, -25, 78]
  Compare 67 and -25
  Swap 67 and -25
  List after swap: [-50, -41, -97, -12, 29, -54, -37, -25, 67, 78]

Pass 3:
  Compare -50 and -41
  No swap needed
  Compare -41 and -97
  Swap -41 and -97
  List after swap: [-50, -97, -41, -12, 29, -54, -37, -25, 67, 78]
  Compare -41 and -12
  No swap needed
  Compare -12 and 29
  No swap needed
  Compare 29 and -54
  Swap 29 and -54
  List after swap: [-50, -97, -41, -12, -54, 29, -37, -25, 67, 78]
  Compare 29 and -37
  Swap 29 and -37
  List after swap: [-50, -97, -41, -12, -54, -37, 29, -25, 67, 78]
  Compare 29 and -25
  Swap 29 and -25
  List after swap: [-50, -97, -41, -12, -54, -37, -25, 29, 67, 78]

Pass 4:
  Compare -50 and -97
  Swap -50 and -97
  List after swap: [-97, -50, -41, -12, -54, -37, -25, 29, 67, 78]
  Compare -50 and -41
  No swap needed
  Compare -41 and -12
  No swap needed
  Compare -12 and -54
  Swap -12 and -54
  List after swap: [-97, -50, -41, -54, -12, -37, -25, 29, 67, 78]
  Compare -12 and -37
  Swap -12 and -37
  List after swap: [-97, -50, -41, -54, -37, -12, -25, 29, 67, 78]
  Compare -12 and -25
  Swap -12 and -25
  List after swap: [-97, -50, -41, -54, -37, -25, -12, 29, 67, 78]

Pass 5:
  Compare -97 and -50
  No swap needed
  Compare -50 and -41
  No swap needed
  Compare -41 and -54
  Swap -41 and -54
  List after swap: [-97, -50, -54, -41, -37, -25, -12, 29, 67, 78]
  Compare -41 and -37
  No swap needed
  Compare -37 and -25
  No swap needed

Pass 6:
  Compare -97 and -50
  No swap needed
  Compare -50 and -54
  Swap -50 and -54
  List after swap: [-97, -54, -50, -41, -37, -25, -12, 29, 67, 78]
  Compare -50 and -41
  No swap needed
  Compare -41 and -37
  No swap needed

Pass 7:
  Compare -97 and -54
  No swap needed
  Compare -54 and -50
  No swap needed
  Compare -50 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -54, -50, -41, -37, -25, -12, 29, 67, 78]
</think>

<response>-97, -54, -50, -41, -37, -25, -12, 29, 67, 78</response>


input: Using the bubble sort method, sort -32, 88, -85, 52, -22, -31, 10 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-32, 88, -85, 52, -22, -31, 10]

Pass 1:
  Compare -32 and 88
  No swap needed
  Compare 88 and -85
  Swap 88 and -85
  List after swap: [-32, -85, 88, 52, -22, -31, 10]
  Compare 88 and 52
  Swap 88 and 52
  List after swap: [-32, -85, 52, 88, -22, -31, 10]
  Compare 88 and -22
  Swap 88 and -22
  List after swap: [-32, -85, 52, -22, 88, -31, 10]
  Compare 88 and -31
  Swap 88 and -31
  List after swap: [-32, -85, 52, -22, -31, 88, 10]
  Compare 88 and 10
  Swap 88 and 10
  List after swap: [-32, -85, 52, -22, -31, 10, 88]

Pass 2:
  Compare -32 and -85
  Swap -32 and -85
  List after swap: [-85, -32, 52, -22, -31, 10, 88]
  Compare -32 and 52
  No swap needed
  Compare 52 and -22
  Swap 52 and -22
  List after swap: [-85, -32, -22, 52, -31, 10, 88]
  Compare 52 and -31
  Swap 52 and -31
  List after swap: [-85, -32, -22, -31, 52, 10, 88]
  Compare 52 and 10
  Swap 52 and 10
  List after swap: [-85, -32, -22, -31, 10, 52, 88]

Pass 3:
  Compare -85 and -32
  No swap needed
  Compare -32 and -22
  No swap needed
  Compare -22 and -31
  Swap -22 and -31
  List after swap: [-85, -32, -31, -22, 10, 52, 88]
  Compare -22 and 10
  No swap needed

Pass 4:
  Compare -85 and -32
  No swap needed
  Compare -32 and -31
  No swap needed
  Compare -31 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -32, -31, -22, 10, 52, 88]
</think>

<response>-85, -32, -31, -22, 10, 52, 88</response>


input: Sort the list 91, -49, -35, 68, -62 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [91, -49, -35, 68, -62]

Pass 1:
  Compare 91 and -49
  Swap 91 and -49
  List after swap: [-49, 91, -35, 68, -62]
  Compare 91 and -35
  Swap 91 and -35
  List after swap: [-49, -35, 91, 68, -62]
  Compare 91 and 68
  Swap 91 and 68
  List after swap: [-49, -35, 68, 91, -62]
  Compare 91 and -62
  Swap 91 and -62
  List after swap: [-49, -35, 68, -62, 91]

Pass 2:
  Compare -49 and -35
  No swap needed
  Compare -35 and 68
  No swap needed
  Compare 68 and -62
  Swap 68 and -62
  List after swap: [-49, -35, -62, 68, 91]

Pass 3:
  Compare -49 and -35
  No swap needed
  Compare -35 and -62
  Swap -35 and -62
  List after swap: [-49, -62, -35, 68, 91]

Pass 4:
  Compare -49 and -62
  Swap -49 and -62
  List after swap: [-62, -49, -35, 68, 91]

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

Final sorted list: [-62, -49, -35, 68, 91]
</think>

<response>-62, -49, -35, 68, 91</response>


input: Arrange the numbers -53, -61, 96 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-53, -61, 96]

Pass 1:
  Compare -53 and -61
  Swap -53 and -61
  List after swap: [-61, -53, 96]
  Compare -53 and 96
  No swap needed

Pass 2:
  Compare -61 and -53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -53, 96]
</think>

<response>-61, -53, 96</response>


input: Execute bubble sort to sort -68, -1, -86, 17, -85, 49, -3, 79, 74, -53 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-68, -1, -86, 17, -85, 49, -3, 79, 74, -53]

Pass 1:
  Compare -68 and -1
  No swap needed
  Compare -1 and -86
  Swap -1 and -86
  List after swap: [-68, -86, -1, 17, -85, 49, -3, 79, 74, -53]
  Compare -1 and 17
  No swap needed
  Compare 17 and -85
  Swap 17 and -85
  List after swap: [-68, -86, -1, -85, 17, 49, -3, 79, 74, -53]
  Compare 17 and 49
  No swap needed
  Compare 49 and -3
  Swap 49 and -3
  List after swap: [-68, -86, -1, -85, 17, -3, 49, 79, 74, -53]
  Compare 49 and 79
  No swap needed
  Compare 79 and 74
  Swap 79 and 74
  List after swap: [-68, -86, -1, -85, 17, -3, 49, 74, 79, -53]
  Compare 79 and -53
  Swap 79 and -53
  List after swap: [-68, -86, -1, -85, 17, -3, 49, 74, -53, 79]

Pass 2:
  Compare -68 and -86
  Swap -68 and -86
  List after swap: [-86, -68, -1, -85, 17, -3, 49, 74, -53, 79]
  Compare -68 and -1
  No swap needed
  Compare -1 and -85
  Swap -1 and -85
  List after swap: [-86, -68, -85, -1, 17, -3, 49, 74, -53, 79]
  Compare -1 and 17
  No swap needed
  Compare 17 and -3
  Swap 17 and -3
  List after swap: [-86, -68, -85, -1, -3, 17, 49, 74, -53, 79]
  Compare 17 and 49
  No swap needed
  Compare 49 and 74
  No swap needed
  Compare 74 and -53
  Swap 74 and -53
  List after swap: [-86, -68, -85, -1, -3, 17, 49, -53, 74, 79]

Pass 3:
  Compare -86 and -68
  No swap needed
  Compare -68 and -85
  Swap -68 and -85
  List after swap: [-86, -85, -68, -1, -3, 17, 49, -53, 74, 79]
  Compare -68 and -1
  No swap needed
  Compare -1 and -3
  Swap -1 and -3
  List after swap: [-86, -85, -68, -3, -1, 17, 49, -53, 74, 79]
  Compare -1 and 17
  No swap needed
  Compare 17 and 49
  No swap needed
  Compare 49 and -53
  Swap 49 and -53
  List after swap: [-86, -85, -68, -3, -1, 17, -53, 49, 74, 79]

Pass 4:
  Compare -86 and -85
  No swap needed
  Compare -85 and -68
  No swap needed
  Compare -68 and -3
  No swap needed
  Compare -3 and -1
  No swap needed
  Compare -1 and 17
  No swap needed
  Compare 17 and -53
  Swap 17 and -53
  List after swap: [-86, -85, -68, -3, -1, -53, 17, 49, 74, 79]

Pass 5:
  Compare -86 and -85
  No swap needed
  Compare -85 and -68
  No swap needed
  Compare -68 and -3
  No swap needed
  Compare -3 and -1
  No swap needed
  Compare -1 and -53
  Swap -1 and -53
  List after swap: [-86, -85, -68, -3, -53, -1, 17, 49, 74, 79]

Pass 6:
  Compare -86 and -85
  No swap needed
  Compare -85 and -68
  No swap needed
  Compare -68 and -3
  No swap needed
  Compare -3 and -53
  Swap -3 and -53
  List after swap: [-86, -85, -68, -53, -3, -1, 17, 49, 74, 79]

Pass 7:
  Compare -86 and -85
  No swap needed
  Compare -85 and -68
  No swap needed
  Compare -68 and -53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -85, -68, -53, -3, -1, 17, 49, 74, 79]
</think>

<response>-86, -85, -68, -53, -3, -1, 17, 49, 74, 79</response>


input: Arrange the numbers -8, 63, 75, 89 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-8, 63, 75, 89]

Pass 1:
  Compare -8 and 63
  No swap needed
  Compare 63 and 75
  No swap needed
  Compare 75 and 89
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-8, 63, 75, 89]
</think>

<response>-8, 63, 75, 89</response>


input: Arrange the numbers -2, -46, 52, 31, 32, -19, -69, 30, 65 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-2, -46, 52, 31, 32, -19, -69, 30, 65]

Pass 1:
  Compare -2 and -46
  Swap -2 and -46
  List after swap: [-46, -2, 52, 31, 32, -19, -69, 30, 65]
  Compare -2 and 52
  No swap needed
  Compare 52 and 31
  Swap 52 and 31
  List after swap: [-46, -2, 31, 52, 32, -19, -69, 30, 65]
  Compare 52 and 32
  Swap 52 and 32
  List after swap: [-46, -2, 31, 32, 52, -19, -69, 30, 65]
  Compare 52 and -19
  Swap 52 and -19
  List after swap: [-46, -2, 31, 32, -19, 52, -69, 30, 65]
  Compare 52 and -69
  Swap 52 and -69
  List after swap: [-46, -2, 31, 32, -19, -69, 52, 30, 65]
  Compare 52 and 30
  Swap 52 and 30
  List after swap: [-46, -2, 31, 32, -19, -69, 30, 52, 65]
  Compare 52 and 65
  No swap needed

Pass 2:
  Compare -46 and -2
  No swap needed
  Compare -2 and 31
  No swap needed
  Compare 31 and 32
  No swap needed
  Compare 32 and -19
  Swap 32 and -19
  List after swap: [-46, -2, 31, -19, 32, -69, 30, 52, 65]
  Compare 32 and -69
  Swap 32 and -69
  List after swap: [-46, -2, 31, -19, -69, 32, 30, 52, 65]
  Compare 32 and 30
  Swap 32 and 30
  List after swap: [-46, -2, 31, -19, -69, 30, 32, 52, 65]
  Compare 32 and 52
  No swap needed

Pass 3:
  Compare -46 and -2
  No swap needed
  Compare -2 and 31
  No swap needed
  Compare 31 and -19
  Swap 31 and -19
  List after swap: [-46, -2, -19, 31, -69, 30, 32, 52, 65]
  Compare 31 and -69
  Swap 31 and -69
  List after swap: [-46, -2, -19, -69, 31, 30, 32, 52, 65]
  Compare 31 and 30
  Swap 31 and 30
  List after swap: [-46, -2, -19, -69, 30, 31, 32, 52, 65]
  Compare 31 and 32
  No swap needed

Pass 4:
  Compare -46 and -2
  No swap needed
  Compare -2 and -19
  Swap -2 and -19
  List after swap: [-46, -19, -2, -69, 30, 31, 32, 52, 65]
  Compare -2 and -69
  Swap -2 and -69
  List after swap: [-46, -19, -69, -2, 30, 31, 32, 52, 65]
  Compare -2 and 30
  No swap needed
  Compare 30 and 31
  No swap needed

Pass 5:
  Compare -46 and -19
  No swap needed
  Compare -19 and -69
  Swap -19 and -69
  List after swap: [-46, -69, -19, -2, 30, 31, 32, 52, 65]
  Compare -19 and -2
  No swap needed
  Compare -2 and 30
  No swap needed

Pass 6:
  Compare -46 and -69
  Swap -46 and -69
  List after swap: [-69, -46, -19, -2, 30, 31, 32, 52, 65]
  Compare -46 and -19
  No swap needed
  Compare -19 and -2
  No swap needed

Pass 7:
  Compare -69 and -46
  No swap needed
  Compare -46 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -46, -19, -2, 30, 31, 32, 52, 65]
</think>

<response>-69, -46, -19, -2, 30, 31, 32, 52, 65</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -18, -32, 98, 62, -47, 84, 23, 97, 16.

output:
<think>
Initial list: [-18, -32, 98, 62, -47, 84, 23, 97, 16]

Pass 1:
  Compare -18 and -32
  Swap -18 and -32
  List after swap: [-32, -18, 98, 62, -47, 84, 23, 97, 16]
  Compare -18 and 98
  No swap needed
  Compare 98 and 62
  Swap 98 and 62
  List after swap: [-32, -18, 62, 98, -47, 84, 23, 97, 16]
  Compare 98 and -47
  Swap 98 and -47
  List after swap: [-32, -18, 62, -47, 98, 84, 23, 97, 16]
  Compare 98 and 84
  Swap 98 and 84
  List after swap: [-32, -18, 62, -47, 84, 98, 23, 97, 16]
  Compare 98 and 23
  Swap 98 and 23
  List after swap: [-32, -18, 62, -47, 84, 23, 98, 97, 16]
  Compare 98 and 97
  Swap 98 and 97
  List after swap: [-32, -18, 62, -47, 84, 23, 97, 98, 16]
  Compare 98 and 16
  Swap 98 and 16
  List after swap: [-32, -18, 62, -47, 84, 23, 97, 16, 98]

Pass 2:
  Compare -32 and -18
  No swap needed
  Compare -18 and 62
  No swap needed
  Compare 62 and -47
  Swap 62 and -47
  List after swap: [-32, -18, -47, 62, 84, 23, 97, 16, 98]
  Compare 62 and 84
  No swap needed
  Compare 84 and 23
  Swap 84 and 23
  List after swap: [-32, -18, -47, 62, 23, 84, 97, 16, 98]
  Compare 84 and 97
  No swap needed
  Compare 97 and 16
  Swap 97 and 16
  List after swap: [-32, -18, -47, 62, 23, 84, 16, 97, 98]

Pass 3:
  Compare -32 and -18
  No swap needed
  Compare -18 and -47
  Swap -18 and -47
  List after swap: [-32, -47, -18, 62, 23, 84, 16, 97, 98]
  Compare -18 and 62
  No swap needed
  Compare 62 and 23
  Swap 62 and 23
  List after swap: [-32, -47, -18, 23, 62, 84, 16, 97, 98]
  Compare 62 and 84
  No swap needed
  Compare 84 and 16
  Swap 84 and 16
  List after swap: [-32, -47, -18, 23, 62, 16, 84, 97, 98]

Pass 4:
  Compare -32 and -47
  Swap -32 and -47
  List after swap: [-47, -32, -18, 23, 62, 16, 84, 97, 98]
  Compare -32 and -18
  No swap needed
  Compare -18 and 23
  No swap needed
  Compare 23 and 62
  No swap needed
  Compare 62 and 16
  Swap 62 and 16
  List after swap: [-47, -32, -18, 23, 16, 62, 84, 97, 98]

Pass 5:
  Compare -47 and -32
  No swap needed
  Compare -32 and -18
  No swap needed
  Compare -18 and 23
  No swap needed
  Compare 23 and 16
  Swap 23 and 16
  List after swap: [-47, -32, -18, 16, 23, 62, 84, 97, 98]

Pass 6:
  Compare -47 and -32
  No swap needed
  Compare -32 and -18
  No swap needed
  Compare -18 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-47, -32, -18, 16, 23, 62, 84, 97, 98]
</think>

<response>-47, -32, -18, 16, 23, 62, 84, 97, 98</response>


input: Carry out the bubble sort algorithm on -7, 17, 83 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-7, 17, 83]

Pass 1:
  Compare -7 and 17
  No swap needed
  Compare 17 and 83
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-7, 17, 83]
</think>

<response>-7, 17, 83</response>


input: Sort the list 35, -71, 26, -52, 80, 62 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [35, -71, 26, -52, 80, 62]

Pass 1:
  Compare 35 and -71
  Swap 35 and -71
  List after swap: [-71, 35, 26, -52, 80, 62]
  Compare 35 and 26
  Swap 35 and 26
  List after swap: [-71, 26, 35, -52, 80, 62]
  Compare 35 and -52
  Swap 35 and -52
  List after swap: [-71, 26, -52, 35, 80, 62]
  Compare 35 and 80
  No swap needed
  Compare 80 and 62
  Swap 80 and 62
  List after swap: [-71, 26, -52, 35, 62, 80]

Pass 2:
  Compare -71 and 26
  No swap needed
  Compare 26 and -52
  Swap 26 and -52
  List after swap: [-71, -52, 26, 35, 62, 80]
  Compare 26 and 35
  No swap needed
  Compare 35 and 62
  No swap needed

Pass 3:
  Compare -71 and -52
  No swap needed
  Compare -52 and 26
  No swap needed
  Compare 26 and 35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -52, 26, 35, 62, 80]
</think>

<response>-71, -52, 26, 35, 62, 80</response>


input: Carry out the bubble sort algorithm on -90, -36, -64, 52 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-90, -36, -64, 52]

Pass 1:
  Compare -90 and -36
  No swap needed
  Compare -36 and -64
  Swap -36 and -64
  List after swap: [-90, -64, -36, 52]
  Compare -36 and 52
  No swap needed

Pass 2:
  Compare -90 and -64
  No swap needed
  Compare -64 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -64, -36, 52]
</think>

<response>-90, -64, -36, 52</response>


input: Execute bubble sort to sort 4, 61, 49 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [4, 61, 49]

Pass 1:
  Compare 4 and 61
  No swap needed
  Compare 61 and 49
  Swap 61 and 49
  List after swap: [4, 49, 61]

Pass 2:
  Compare 4 and 49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [4, 49, 61]
</think>

<response>4, 49, 61</response>


input: Using the bubble sort method, sort -45, -85, -43, -64, -95, 1, 3, -58, -62, 13 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-45, -85, -43, -64, -95, 1, 3, -58, -62, 13]

Pass 1:
  Compare -45 and -85
  Swap -45 and -85
  List after swap: [-85, -45, -43, -64, -95, 1, 3, -58, -62, 13]
  Compare -45 and -43
  No swap needed
  Compare -43 and -64
  Swap -43 and -64
  List after swap: [-85, -45, -64, -43, -95, 1, 3, -58, -62, 13]
  Compare -43 and -95
  Swap -43 and -95
  List after swap: [-85, -45, -64, -95, -43, 1, 3, -58, -62, 13]
  Compare -43 and 1
  No swap needed
  Compare 1 and 3
  No swap needed
  Compare 3 and -58
  Swap 3 and -58
  List after swap: [-85, -45, -64, -95, -43, 1, -58, 3, -62, 13]
  Compare 3 and -62
  Swap 3 and -62
  List after swap: [-85, -45, -64, -95, -43, 1, -58, -62, 3, 13]
  Compare 3 and 13
  No swap needed

Pass 2:
  Compare -85 and -45
  No swap needed
  Compare -45 and -64
  Swap -45 and -64
  List after swap: [-85, -64, -45, -95, -43, 1, -58, -62, 3, 13]
  Compare -45 and -95
  Swap -45 and -95
  List after swap: [-85, -64, -95, -45, -43, 1, -58, -62, 3, 13]
  Compare -45 and -43
  No swap needed
  Compare -43 and 1
  No swap needed
  Compare 1 and -58
  Swap 1 and -58
  List after swap: [-85, -64, -95, -45, -43, -58, 1, -62, 3, 13]
  Compare 1 and -62
  Swap 1 and -62
  List after swap: [-85, -64, -95, -45, -43, -58, -62, 1, 3, 13]
  Compare 1 and 3
  No swap needed

Pass 3:
  Compare -85 and -64
  No swap needed
  Compare -64 and -95
  Swap -64 and -95
  List after swap: [-85, -95, -64, -45, -43, -58, -62, 1, 3, 13]
  Compare -64 and -45
  No swap needed
  Compare -45 and -43
  No swap needed
  Compare -43 and -58
  Swap -43 and -58
  List after swap: [-85, -95, -64, -45, -58, -43, -62, 1, 3, 13]
  Compare -43 and -62
  Swap -43 and -62
  List after swap: [-85, -95, -64, -45, -58, -62, -43, 1, 3, 13]
  Compare -43 and 1
  No swap needed

Pass 4:
  Compare -85 and -95
  Swap -85 and -95
  List after swap: [-95, -85, -64, -45, -58, -62, -43, 1, 3, 13]
  Compare -85 and -64
  No swap needed
  Compare -64 and -45
  No swap needed
  Compare -45 and -58
  Swap -45 and -58
  List after swap: [-95, -85, -64, -58, -45, -62, -43, 1, 3, 13]
  Compare -45 and -62
  Swap -45 and -62
  List after swap: [-95, -85, -64, -58, -62, -45, -43, 1, 3, 13]
  Compare -45 and -43
  No swap needed

Pass 5:
  Compare -95 and -85
  No swap needed
  Compare -85 and -64
  No swap needed
  Compare -64 and -58
  No swap needed
  Compare -58 and -62
  Swap -58 and -62
  List after swap: [-95, -85, -64, -62, -58, -45, -43, 1, 3, 13]
  Compare -58 and -45
  No swap needed

Pass 6:
  Compare -95 and -85
  No swap needed
  Compare -85 and -64
  No swap needed
  Compare -64 and -62
  No swap needed
  Compare -62 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -85, -64, -62, -58, -45, -43, 1, 3, 13]
</think>

<response>-95, -85, -64, -62, -58, -45, -43, 1, 3, 13</response>


input: Implement bubble sort on 12, 60, -4, -1 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [12, 60, -4, -1]

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

Pass 2:
  Compare 12 and -4
  Swap 12 and -4
  List after swap: [-4, 12, -1, 60]
  Compare 12 and -1
  Swap 12 and -1
  List after swap: [-4, -1, 12, 60]

Pass 3:
  Compare -4 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-4, -1, 12, 60]
</think>

<response>-4, -1, 12, 60</response>


input: Use the bubble sort technique to reorder 81, 14, 57, 75, 77, 31, 24, -17, 42 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [81, 14, 57, 75, 77, 31, 24, -17, 42]

Pass 1:
  Compare 81 and 14
  Swap 81 and 14
  List after swap: [14, 81, 57, 75, 77, 31, 24, -17, 42]
  Compare 81 and 57
  Swap 81 and 57
  List after swap: [14, 57, 81, 75, 77, 31, 24, -17, 42]
  Compare 81 and 75
  Swap 81 and 75
  List after swap: [14, 57, 75, 81, 77, 31, 24, -17, 42]
  Compare 81 and 77
  Swap 81 and 77
  List after swap: [14, 57, 75, 77, 81, 31, 24, -17, 42]
  Compare 81 and 31
  Swap 81 and 31
  List after swap: [14, 57, 75, 77, 31, 81, 24, -17, 42]
  Compare 81 and 24
  Swap 81 and 24
  List after swap: [14, 57, 75, 77, 31, 24, 81, -17, 42]
  Compare 81 and -17
  Swap 81 and -17
  List after swap: [14, 57, 75, 77, 31, 24, -17, 81, 42]
  Compare 81 and 42
  Swap 81 and 42
  List after swap: [14, 57, 75, 77, 31, 24, -17, 42, 81]

Pass 2:
  Compare 14 and 57
  No swap needed
  Compare 57 and 75
  No swap needed
  Compare 75 and 77
  No swap needed
  Compare 77 and 31
  Swap 77 and 31
  List after swap: [14, 57, 75, 31, 77, 24, -17, 42, 81]
  Compare 77 and 24
  Swap 77 and 24
  List after swap: [14, 57, 75, 31, 24, 77, -17, 42, 81]
  Compare 77 and -17
  Swap 77 and -17
  List after swap: [14, 57, 75, 31, 24, -17, 77, 42, 81]
  Compare 77 and 42
  Swap 77 and 42
  List after swap: [14, 57, 75, 31, 24, -17, 42, 77, 81]

Pass 3:
  Compare 14 and 57
  No swap needed
  Compare 57 and 75
  No swap needed
  Compare 75 and 31
  Swap 75 and 31
  List after swap: [14, 57, 31, 75, 24, -17, 42, 77, 81]
  Compare 75 and 24
  Swap 75 and 24
  List after swap: [14, 57, 31, 24, 75, -17, 42, 77, 81]
  Compare 75 and -17
  Swap 75 and -17
  List after swap: [14, 57, 31, 24, -17, 75, 42, 77, 81]
  Compare 75 and 42
  Swap 75 and 42
  List after swap: [14, 57, 31, 24, -17, 42, 75, 77, 81]

Pass 4:
  Compare 14 and 57
  No swap needed
  Compare 57 and 31
  Swap 57 and 31
  List after swap: [14, 31, 57, 24, -17, 42, 75, 77, 81]
  Compare 57 and 24
  Swap 57 and 24
  List after swap: [14, 31, 24, 57, -17, 42, 75, 77, 81]
  Compare 57 and -17
  Swap 57 and -17
  List after swap: [14, 31, 24, -17, 57, 42, 75, 77, 81]
  Compare 57 and 42
  Swap 57 and 42
  List after swap: [14, 31, 24, -17, 42, 57, 75, 77, 81]

Pass 5:
  Compare 14 and 31
  No swap needed
  Compare 31 and 24
  Swap 31 and 24
  List after swap: [14, 24, 31, -17, 42, 57, 75, 77, 81]
  Compare 31 and -17
  Swap 31 and -17
  List after swap: [14, 24, -17, 31, 42, 57, 75, 77, 81]
  Compare 31 and 42
  No swap needed

Pass 6:
  Compare 14 and 24
  No swap needed
  Compare 24 and -17
  Swap 24 and -17
  List after swap: [14, -17, 24, 31, 42, 57, 75, 77, 81]
  Compare 24 and 31
  No swap needed

Pass 7:
  Compare 14 and -17
  Swap 14 and -17
  List after swap: [-17, 14, 24, 31, 42, 57, 75, 77, 81]
  Compare 14 and 24
  No swap needed

Pass 8:
  Compare -17 and 14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-17, 14, 24, 31, 42, 57, 75, 77, 81]
</think>

<response>-17, 14, 24, 31, 42, 57, 75, 77, 81</response>


input: Use the bubble sort technique to reorder 38, 92, -20, 29, -37, -23, 39, 5, 89 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [38, 92, -20, 29, -37, -23, 39, 5, 89]

Pass 1:
  Compare 38 and 92
  No swap needed
  Compare 92 and -20
  Swap 92 and -20
  List after swap: [38, -20, 92, 29, -37, -23, 39, 5, 89]
  Compare 92 and 29
  Swap 92 and 29
  List after swap: [38, -20, 29, 92, -37, -23, 39, 5, 89]
  Compare 92 and -37
  Swap 92 and -37
  List after swap: [38, -20, 29, -37, 92, -23, 39, 5, 89]
  Compare 92 and -23
  Swap 92 and -23
  List after swap: [38, -20, 29, -37, -23, 92, 39, 5, 89]
  Compare 92 and 39
  Swap 92 and 39
  List after swap: [38, -20, 29, -37, -23, 39, 92, 5, 89]
  Compare 92 and 5
  Swap 92 and 5
  List after swap: [38, -20, 29, -37, -23, 39, 5, 92, 89]
  Compare 92 and 89
  Swap 92 and 89
  List after swap: [38, -20, 29, -37, -23, 39, 5, 89, 92]

Pass 2:
  Compare 38 and -20
  Swap 38 and -20
  List after swap: [-20, 38, 29, -37, -23, 39, 5, 89, 92]
  Compare 38 and 29
  Swap 38 and 29
  List after swap: [-20, 29, 38, -37, -23, 39, 5, 89, 92]
  Compare 38 and -37
  Swap 38 and -37
  List after swap: [-20, 29, -37, 38, -23, 39, 5, 89, 92]
  Compare 38 and -23
  Swap 38 and -23
  List after swap: [-20, 29, -37, -23, 38, 39, 5, 89, 92]
  Compare 38 and 39
  No swap needed
  Compare 39 and 5
  Swap 39 and 5
  List after swap: [-20, 29, -37, -23, 38, 5, 39, 89, 92]
  Compare 39 and 89
  No swap needed

Pass 3:
  Compare -20 and 29
  No swap needed
  Compare 29 and -37
  Swap 29 and -37
  List after swap: [-20, -37, 29, -23, 38, 5, 39, 89, 92]
  Compare 29 and -23
  Swap 29 and -23
  List after swap: [-20, -37, -23, 29, 38, 5, 39, 89, 92]
  Compare 29 and 38
  No swap needed
  Compare 38 and 5
  Swap 38 and 5
  List after swap: [-20, -37, -23, 29, 5, 38, 39, 89, 92]
  Compare 38 and 39
  No swap needed

Pass 4:
  Compare -20 and -37
  Swap -20 and -37
  List after swap: [-37, -20, -23, 29, 5, 38, 39, 89, 92]
  Compare -20 and -23
  Swap -20 and -23
  List after swap: [-37, -23, -20, 29, 5, 38, 39, 89, 92]
  Compare -20 and 29
  No swap needed
  Compare 29 and 5
  Swap 29 and 5
  List after swap: [-37, -23, -20, 5, 29, 38, 39, 89, 92]
  Compare 29 and 38
  No swap needed

Pass 5:
  Compare -37 and -23
  No swap needed
  Compare -23 and -20
  No swap needed
  Compare -20 and 5
  No swap needed
  Compare 5 and 29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-37, -23, -20, 5, 29, 38, 39, 89, 92]
</think>

<response>-37, -23, -20, 5, 29, 38, 39, 89, 92</response>


input: Demonstrate how bubble sort orders the integers 33, 41, 53, -80, 24, -51, -15, -49, 12, 18 in ascending sequence, showing all steps.

output:
<think>
Initial list: [33, 41, 53, -80, 24, -51, -15, -49, 12, 18]

Pass 1:
  Compare 33 and 41
  No swap needed
  Compare 41 and 53
  No swap needed
  Compare 53 and -80
  Swap 53 and -80
  List after swap: [33, 41, -80, 53, 24, -51, -15, -49, 12, 18]
  Compare 53 and 24
  Swap 53 and 24
  List after swap: [33, 41, -80, 24, 53, -51, -15, -49, 12, 18]
  Compare 53 and -51
  Swap 53 and -51
  List after swap: [33, 41, -80, 24, -51, 53, -15, -49, 12, 18]
  Compare 53 and -15
  Swap 53 and -15
  List after swap: [33, 41, -80, 24, -51, -15, 53, -49, 12, 18]
  Compare 53 and -49
  Swap 53 and -49
  List after swap: [33, 41, -80, 24, -51, -15, -49, 53, 12, 18]
  Compare 53 and 12
  Swap 53 and 12
  List after swap: [33, 41, -80, 24, -51, -15, -49, 12, 53, 18]
  Compare 53 and 18
  Swap 53 and 18
  List after swap: [33, 41, -80, 24, -51, -15, -49, 12, 18, 53]

Pass 2:
  Compare 33 and 41
  No swap needed
  Compare 41 and -80
  Swap 41 and -80
  List after swap: [33, -80, 41, 24, -51, -15, -49, 12, 18, 53]
  Compare 41 and 24
  Swap 41 and 24
  List after swap: [33, -80, 24, 41, -51, -15, -49, 12, 18, 53]
  Compare 41 and -51
  Swap 41 and -51
  List after swap: [33, -80, 24, -51, 41, -15, -49, 12, 18, 53]
  Compare 41 and -15
  Swap 41 and -15
  List after swap: [33, -80, 24, -51, -15, 41, -49, 12, 18, 53]
  Compare 41 and -49
  Swap 41 and -49
  List after swap: [33, -80, 24, -51, -15, -49, 41, 12, 18, 53]
  Compare 41 and 12
  Swap 41 and 12
  List after swap: [33, -80, 24, -51, -15, -49, 12, 41, 18, 53]
  Compare 41 and 18
  Swap 41 and 18
  List after swap: [33, -80, 24, -51, -15, -49, 12, 18, 41, 53]

Pass 3:
  Compare 33 and -80
  Swap 33 and -80
  List after swap: [-80, 33, 24, -51, -15, -49, 12, 18, 41, 53]
  Compare 33 and 24
  Swap 33 and 24
  List after swap: [-80, 24, 33, -51, -15, -49, 12, 18, 41, 53]
  Compare 33 and -51
  Swap 33 and -51
  List after swap: [-80, 24, -51, 33, -15, -49, 12, 18, 41, 53]
  Compare 33 and -15
  Swap 33 and -15
  List after swap: [-80, 24, -51, -15, 33, -49, 12, 18, 41, 53]
  Compare 33 and -49
  Swap 33 and -49
  List after swap: [-80, 24, -51, -15, -49, 33, 12, 18, 41, 53]
  Compare 33 and 12
  Swap 33 and 12
  List after swap: [-80, 24, -51, -15, -49, 12, 33, 18, 41, 53]
  Compare 33 and 18
  Swap 33 and 18
  List after swap: [-80, 24, -51, -15, -49, 12, 18, 33, 41, 53]

Pass 4:
  Compare -80 and 24
  No swap needed
  Compare 24 and -51
  Swap 24 and -51
  List after swap: [-80, -51, 24, -15, -49, 12, 18, 33, 41, 53]
  Compare 24 and -15
  Swap 24 and -15
  List after swap: [-80, -51, -15, 24, -49, 12, 18, 33, 41, 53]
  Compare 24 and -49
  Swap 24 and -49
  List after swap: [-80, -51, -15, -49, 24, 12, 18, 33, 41, 53]
  Compare 24 and 12
  Swap 24 and 12
  List after swap: [-80, -51, -15, -49, 12, 24, 18, 33, 41, 53]
  Compare 24 and 18
  Swap 24 and 18
  List after swap: [-80, -51, -15, -49, 12, 18, 24, 33, 41, 53]

Pass 5:
  Compare -80 and -51
  No swap needed
  Compare -51 and -15
  No swap needed
  Compare -15 and -49
  Swap -15 and -49
  List after swap: [-80, -51, -49, -15, 12, 18, 24, 33, 41, 53]
  Compare -15 and 12
  No swap needed
  Compare 12 and 18
  No swap needed

Pass 6:
  Compare -80 and -51
  No swap needed
  Compare -51 and -49
  No swap needed
  Compare -49 and -15
  No swap needed
  Compare -15 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -51, -49, -15, 12, 18, 24, 33, 41, 53]
</think>

<response>-80, -51, -49, -15, 12, 18, 24, 33, 41, 53</response>


input: Sort these integers -39, 91, -91, 84, 53, -64, -28, 72, 56, -62 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-39, 91, -91, 84, 53, -64, -28, 72, 56, -62]

Pass 1:
  Compare -39 and 91
  No swap needed
  Compare 91 and -91
  Swap 91 and -91
  List after swap: [-39, -91, 91, 84, 53, -64, -28, 72, 56, -62]
  Compare 91 and 84
  Swap 91 and 84
  List after swap: [-39, -91, 84, 91, 53, -64, -28, 72, 56, -62]
  Compare 91 and 53
  Swap 91 and 53
  List after swap: [-39, -91, 84, 53, 91, -64, -28, 72, 56, -62]
  Compare 91 and -64
  Swap 91 and -64
  List after swap: [-39, -91, 84, 53, -64, 91, -28, 72, 56, -62]
  Compare 91 and -28
  Swap 91 and -28
  List after swap: [-39, -91, 84, 53, -64, -28, 91, 72, 56, -62]
  Compare 91 and 72
  Swap 91 and 72
  List after swap: [-39, -91, 84, 53, -64, -28, 72, 91, 56, -62]
  Compare 91 and 56
  Swap 91 and 56
  List after swap: [-39, -91, 84, 53, -64, -28, 72, 56, 91, -62]
  Compare 91 and -62
  Swap 91 and -62
  List after swap: [-39, -91, 84, 53, -64, -28, 72, 56, -62, 91]

Pass 2:
  Compare -39 and -91
  Swap -39 and -91
  List after swap: [-91, -39, 84, 53, -64, -28, 72, 56, -62, 91]
  Compare -39 and 84
  No swap needed
  Compare 84 and 53
  Swap 84 and 53
  List after swap: [-91, -39, 53, 84, -64, -28, 72, 56, -62, 91]
  Compare 84 and -64
  Swap 84 and -64
  List after swap: [-91, -39, 53, -64, 84, -28, 72, 56, -62, 91]
  Compare 84 and -28
  Swap 84 and -28
  List after swap: [-91, -39, 53, -64, -28, 84, 72, 56, -62, 91]
  Compare 84 and 72
  Swap 84 and 72
  List after swap: [-91, -39, 53, -64, -28, 72, 84, 56, -62, 91]
  Compare 84 and 56
  Swap 84 and 56
  List after swap: [-91, -39, 53, -64, -28, 72, 56, 84, -62, 91]
  Compare 84 and -62
  Swap 84 and -62
  List after swap: [-91, -39, 53, -64, -28, 72, 56, -62, 84, 91]

Pass 3:
  Compare -91 and -39
  No swap needed
  Compare -39 and 53
  No swap needed
  Compare 53 and -64
  Swap 53 and -64
  List after swap: [-91, -39, -64, 53, -28, 72, 56, -62, 84, 91]
  Compare 53 and -28
  Swap 53 and -28
  List after swap: [-91, -39, -64, -28, 53, 72, 56, -62, 84, 91]
  Compare 53 and 72
  No swap needed
  Compare 72 and 56
  Swap 72 and 56
  List after swap: [-91, -39, -64, -28, 53, 56, 72, -62, 84, 91]
  Compare 72 and -62
  Swap 72 and -62
  List after swap: [-91, -39, -64, -28, 53, 56, -62, 72, 84, 91]

Pass 4:
  Compare -91 and -39
  No swap needed
  Compare -39 and -64
  Swap -39 and -64
  List after swap: [-91, -64, -39, -28, 53, 56, -62, 72, 84, 91]
  Compare -39 and -28
  No swap needed
  Compare -28 and 53
  No swap needed
  Compare 53 and 56
  No swap needed
  Compare 56 and -62
  Swap 56 and -62
  List after swap: [-91, -64, -39, -28, 53, -62, 56, 72, 84, 91]

Pass 5:
  Compare -91 and -64
  No swap needed
  Compare -64 and -39
  No swap needed
  Compare -39 and -28
  No swap needed
  Compare -28 and 53
  No swap needed
  Compare 53 and -62
  Swap 53 and -62
  List after swap: [-91, -64, -39, -28, -62, 53, 56, 72, 84, 91]

Pass 6:
  Compare -91 and -64
  No swap needed
  Compare -64 and -39
  No swap needed
  Compare -39 and -28
  No swap needed
  Compare -28 and -62
  Swap -28 and -62
  List after swap: [-91, -64, -39, -62, -28, 53, 56, 72, 84, 91]

Pass 7:
  Compare -91 and -64
  No swap needed
  Compare -64 and -39
  No swap needed
  Compare -39 and -62
  Swap -39 and -62
  List after swap: [-91, -64, -62, -39, -28, 53, 56, 72, 84, 91]

Pass 8:
  Compare -91 and -64
  No swap needed
  Compare -64 and -62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -64, -62, -39, -28, 53, 56, 72, 84, 91]
</think>

<response>-91, -64, -62, -39, -28, 53, 56, 72, 84, 91</response>


input: Use the bubble sort technique to reorder 74, -91, -59, -90 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [74, -91, -59, -90]

Pass 1:
  Compare 74 and -91
  Swap 74 and -91
  List after swap: [-91, 74, -59, -90]
  Compare 74 and -59
  Swap 74 and -59
  List after swap: [-91, -59, 74, -90]
  Compare 74 and -90
  Swap 74 and -90
  List after swap: [-91, -59, -90, 74]

Pass 2:
  Compare -91 and -59
  No swap needed
  Compare -59 and -90
  Swap -59 and -90
  List after swap: [-91, -90, -59, 74]

Pass 3:
  Compare -91 and -90
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -90, -59, 74]
</think>

<response>-91, -90, -59, 74</response>


input: Arrange the numbers 83, -72, 87, 89, -99, 19, 41, -78 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [83, -72, 87, 89, -99, 19, 41, -78]

Pass 1:
  Compare 83 and -72
  Swap 83 and -72
  List after swap: [-72, 83, 87, 89, -99, 19, 41, -78]
  Compare 83 and 87
  No swap needed
  Compare 87 and 89
  No swap needed
  Compare 89 and -99
  Swap 89 and -99
  List after swap: [-72, 83, 87, -99, 89, 19, 41, -78]
  Compare 89 and 19
  Swap 89 and 19
  List after swap: [-72, 83, 87, -99, 19, 89, 41, -78]
  Compare 89 and 41
  Swap 89 and 41
  List after swap: [-72, 83, 87, -99, 19, 41, 89, -78]
  Compare 89 and -78
  Swap 89 and -78
  List after swap: [-72, 83, 87, -99, 19, 41, -78, 89]

Pass 2:
  Compare -72 and 83
  No swap needed
  Compare 83 and 87
  No swap needed
  Compare 87 and -99
  Swap 87 and -99
  List after swap: [-72, 83, -99, 87, 19, 41, -78, 89]
  Compare 87 and 19
  Swap 87 and 19
  List after swap: [-72, 83, -99, 19, 87, 41, -78, 89]
  Compare 87 and 41
  Swap 87 and 41
  List after swap: [-72, 83, -99, 19, 41, 87, -78, 89]
  Compare 87 and -78
  Swap 87 and -78
  List after swap: [-72, 83, -99, 19, 41, -78, 87, 89]

Pass 3:
  Compare -72 and 83
  No swap needed
  Compare 83 and -99
  Swap 83 and -99
  List after swap: [-72, -99, 83, 19, 41, -78, 87, 89]
  Compare 83 and 19
  Swap 83 and 19
  List after swap: [-72, -99, 19, 83, 41, -78, 87, 89]
  Compare 83 and 41
  Swap 83 and 41
  List after swap: [-72, -99, 19, 41, 83, -78, 87, 89]
  Compare 83 and -78
  Swap 83 and -78
  List after swap: [-72, -99, 19, 41, -78, 83, 87, 89]

Pass 4:
  Compare -72 and -99
  Swap -72 and -99
  List after swap: [-99, -72, 19, 41, -78, 83, 87, 89]
  Compare -72 and 19
  No swap needed
  Compare 19 and 41
  No swap needed
  Compare 41 and -78
  Swap 41 and -78
  List after swap: [-99, -72, 19, -78, 41, 83, 87, 89]

Pass 5:
  Compare -99 and -72
  No swap needed
  Compare -72 and 19
  No swap needed
  Compare 19 and -78
  Swap 19 and -78
  List after swap: [-99, -72, -78, 19, 41, 83, 87, 89]

Pass 6:
  Compare -99 and -72
  No swap needed
  Compare -72 and -78
  Swap -72 and -78
  List after swap: [-99, -78, -72, 19, 41, 83, 87, 89]

Pass 7:
  Compare -99 and -78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -78, -72, 19, 41, 83, 87, 89]
</think>

<response>-99, -78, -72, 19, 41, 83, 87, 89</response>


input: Carry out the bubble sort algorithm on -56, 52, -33, 57, -14 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-56, 52, -33, 57, -14]

Pass 1:
  Compare -56 and 52
  No swap needed
  Compare 52 and -33
  Swap 52 and -33
  List after swap: [-56, -33, 52, 57, -14]
  Compare 52 and 57
  No swap needed
  Compare 57 and -14
  Swap 57 and -14
  List after swap: [-56, -33, 52, -14, 57]

Pass 2:
  Compare -56 and -33
  No swap needed
  Compare -33 and 52
  No swap needed
  Compare 52 and -14
  Swap 52 and -14
  List after swap: [-56, -33, -14, 52, 57]

Pass 3:
  Compare -56 and -33
  No swap needed
  Compare -33 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -33, -14, 52, 57]
</think>

<response>-56, -33, -14, 52, 57</response>


input: Sort these integers -61, 41, -28, -51, -56, 68, -94, 60 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-61, 41, -28, -51, -56, 68, -94, 60]

Pass 1:
  Compare -61 and 41
  No swap needed
  Compare 41 and -28
  Swap 41 and -28
  List after swap: [-61, -28, 41, -51, -56, 68, -94, 60]
  Compare 41 and -51
  Swap 41 and -51
  List after swap: [-61, -28, -51, 41, -56, 68, -94, 60]
  Compare 41 and -56
  Swap 41 and -56
  List after swap: [-61, -28, -51, -56, 41, 68, -94, 60]
  Compare 41 and 68
  No swap needed
  Compare 68 and -94
  Swap 68 and -94
  List after swap: [-61, -28, -51, -56, 41, -94, 68, 60]
  Compare 68 and 60
  Swap 68 and 60
  List after swap: [-61, -28, -51, -56, 41, -94, 60, 68]

Pass 2:
  Compare -61 and -28
  No swap needed
  Compare -28 and -51
  Swap -28 and -51
  List after swap: [-61, -51, -28, -56, 41, -94, 60, 68]
  Compare -28 and -56
  Swap -28 and -56
  List after swap: [-61, -51, -56, -28, 41, -94, 60, 68]
  Compare -28 and 41
  No swap needed
  Compare 41 and -94
  Swap 41 and -94
  List after swap: [-61, -51, -56, -28, -94, 41, 60, 68]
  Compare 41 and 60
  No swap needed

Pass 3:
  Compare -61 and -51
  No swap needed
  Compare -51 and -56
  Swap -51 and -56
  List after swap: [-61, -56, -51, -28, -94, 41, 60, 68]
  Compare -51 and -28
  No swap needed
  Compare -28 and -94
  Swap -28 and -94
  List after swap: [-61, -56, -51, -94, -28, 41, 60, 68]
  Compare -28 and 41
  No swap needed

Pass 4:
  Compare -61 and -56
  No swap needed
  Compare -56 and -51
  No swap needed
  Compare -51 and -94
  Swap -51 and -94
  List after swap: [-61, -56, -94, -51, -28, 41, 60, 68]
  Compare -51 and -28
  No swap needed

Pass 5:
  Compare -61 and -56
  No swap needed
  Compare -56 and -94
  Swap -56 and -94
  List after swap: [-61, -94, -56, -51, -28, 41, 60, 68]
  Compare -56 and -51
  No swap needed

Pass 6:
  Compare -61 and -94
  Swap -61 and -94
  List after swap: [-94, -61, -56, -51, -28, 41, 60, 68]
  Compare -61 and -56
  No swap needed

Pass 7:
  Compare -94 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -61, -56, -51, -28, 41, 60, 68]
</think>

<response>-94, -61, -56, -51, -28, 41, 60, 68</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -78, -22.

output:
<think>
Initial list: [-78, -22]

Pass 1:
  Compare -78 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -22]
</think>

<response>-78, -22</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -83, 72, 21, 12, 82, -95, 71, -18, 73.

output:
<think>
Initial list: [-83, 72, 21, 12, 82, -95, 71, -18, 73]

Pass 1:
  Compare -83 and 72
  No swap needed
  Compare 72 and 21
  Swap 72 and 21
  List after swap: [-83, 21, 72, 12, 82, -95, 71, -18, 73]
  Compare 72 and 12
  Swap 72 and 12
  List after swap: [-83, 21, 12, 72, 82, -95, 71, -18, 73]
  Compare 72 and 82
  No swap needed
  Compare 82 and -95
  Swap 82 and -95
  List after swap: [-83, 21, 12, 72, -95, 82, 71, -18, 73]
  Compare 82 and 71
  Swap 82 and 71
  List after swap: [-83, 21, 12, 72, -95, 71, 82, -18, 73]
  Compare 82 and -18
  Swap 82 and -18
  List after swap: [-83, 21, 12, 72, -95, 71, -18, 82, 73]
  Compare 82 and 73
  Swap 82 and 73
  List after swap: [-83, 21, 12, 72, -95, 71, -18, 73, 82]

Pass 2:
  Compare -83 and 21
  No swap needed
  Compare 21 and 12
  Swap 21 and 12
  List after swap: [-83, 12, 21, 72, -95, 71, -18, 73, 82]
  Compare 21 and 72
  No swap needed
  Compare 72 and -95
  Swap 72 and -95
  List after swap: [-83, 12, 21, -95, 72, 71, -18, 73, 82]
  Compare 72 and 71
  Swap 72 and 71
  List after swap: [-83, 12, 21, -95, 71, 72, -18, 73, 82]
  Compare 72 and -18
  Swap 72 and -18
  List after swap: [-83, 12, 21, -95, 71, -18, 72, 73, 82]
  Compare 72 and 73
  No swap needed

Pass 3:
  Compare -83 and 12
  No swap needed
  Compare 12 and 21
  No swap needed
  Compare 21 and -95
  Swap 21 and -95
  List after swap: [-83, 12, -95, 21, 71, -18, 72, 73, 82]
  Compare 21 and 71
  No swap needed
  Compare 71 and -18
  Swap 71 and -18
  List after swap: [-83, 12, -95, 21, -18, 71, 72, 73, 82]
  Compare 71 and 72
  No swap needed

Pass 4:
  Compare -83 and 12
  No swap needed
  Compare 12 and -95
  Swap 12 and -95
  List after swap: [-83, -95, 12, 21, -18, 71, 72, 73, 82]
  Compare 12 and 21
  No swap needed
  Compare 21 and -18
  Swap 21 and -18
  List after swap: [-83, -95, 12, -18, 21, 71, 72, 73, 82]
  Compare 21 and 71
  No swap needed

Pass 5:
  Compare -83 and -95
  Swap -83 and -95
  List after swap: [-95, -83, 12, -18, 21, 71, 72, 73, 82]
  Compare -83 and 12
  No swap needed
  Compare 12 and -18
  Swap 12 and -18
  List after swap: [-95, -83, -18, 12, 21, 71, 72, 73, 82]
  Compare 12 and 21
  No swap needed

Pass 6:
  Compare -95 and -83
  No swap needed
  Compare -83 and -18
  No swap needed
  Compare -18 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -83, -18, 12, 21, 71, 72, 73, 82]
</think>

<response>-95, -83, -18, 12, 21, 71, 72, 73, 82</response>


input: Using the bubble sort method, sort 45, -67, 35, 36, -69, -72, -6, -88, 76, 61 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [45, -67, 35, 36, -69, -72, -6, -88, 76, 61]

Pass 1:
  Compare 45 and -67
  Swap 45 and -67
  List after swap: [-67, 45, 35, 36, -69, -72, -6, -88, 76, 61]
  Compare 45 and 35
  Swap 45 and 35
  List after swap: [-67, 35, 45, 36, -69, -72, -6, -88, 76, 61]
  Compare 45 and 36
  Swap 45 and 36
  List after swap: [-67, 35, 36, 45, -69, -72, -6, -88, 76, 61]
  Compare 45 and -69
  Swap 45 and -69
  List after swap: [-67, 35, 36, -69, 45, -72, -6, -88, 76, 61]
  Compare 45 and -72
  Swap 45 and -72
  List after swap: [-67, 35, 36, -69, -72, 45, -6, -88, 76, 61]
  Compare 45 and -6
  Swap 45 and -6
  List after swap: [-67, 35, 36, -69, -72, -6, 45, -88, 76, 61]
  Compare 45 and -88
  Swap 45 and -88
  List after swap: [-67, 35, 36, -69, -72, -6, -88, 45, 76, 61]
  Compare 45 and 76
  No swap needed
  Compare 76 and 61
  Swap 76 and 61
  List after swap: [-67, 35, 36, -69, -72, -6, -88, 45, 61, 76]

Pass 2:
  Compare -67 and 35
  No swap needed
  Compare 35 and 36
  No swap needed
  Compare 36 and -69
  Swap 36 and -69
  List after swap: [-67, 35, -69, 36, -72, -6, -88, 45, 61, 76]
  Compare 36 and -72
  Swap 36 and -72
  List after swap: [-67, 35, -69, -72, 36, -6, -88, 45, 61, 76]
  Compare 36 and -6
  Swap 36 and -6
  List after swap: [-67, 35, -69, -72, -6, 36, -88, 45, 61, 76]
  Compare 36 and -88
  Swap 36 and -88
  List after swap: [-67, 35, -69, -72, -6, -88, 36, 45, 61, 76]
  Compare 36 and 45
  No swap needed
  Compare 45 and 61
  No swap needed

Pass 3:
  Compare -67 and 35
  No swap needed
  Compare 35 and -69
  Swap 35 and -69
  List after swap: [-67, -69, 35, -72, -6, -88, 36, 45, 61, 76]
  Compare 35 and -72
  Swap 35 and -72
  List after swap: [-67, -69, -72, 35, -6, -88, 36, 45, 61, 76]
  Compare 35 and -6
  Swap 35 and -6
  List after swap: [-67, -69, -72, -6, 35, -88, 36, 45, 61, 76]
  Compare 35 and -88
  Swap 35 and -88
  List after swap: [-67, -69, -72, -6, -88, 35, 36, 45, 61, 76]
  Compare 35 and 36
  No swap needed
  Compare 36 and 45
  No swap needed

Pass 4:
  Compare -67 and -69
  Swap -67 and -69
  List after swap: [-69, -67, -72, -6, -88, 35, 36, 45, 61, 76]
  Compare -67 and -72
  Swap -67 and -72
  List after swap: [-69, -72, -67, -6, -88, 35, 36, 45, 61, 76]
  Compare -67 and -6
  No swap needed
  Compare -6 and -88
  Swap -6 and -88
  List after swap: [-69, -72, -67, -88, -6, 35, 36, 45, 61, 76]
  Compare -6 and 35
  No swap needed
  Compare 35 and 36
  No swap needed

Pass 5:
  Compare -69 and -72
  Swap -69 and -72
  List after swap: [-72, -69, -67, -88, -6, 35, 36, 45, 61, 76]
  Compare -69 and -67
  No swap needed
  Compare -67 and -88
  Swap -67 and -88
  List after swap: [-72, -69, -88, -67, -6, 35, 36, 45, 61, 76]
  Compare -67 and -6
  No swap needed
  Compare -6 and 35
  No swap needed

Pass 6:
  Compare -72 and -69
  No swap needed
  Compare -69 and -88
  Swap -69 and -88
  List after swap: [-72, -88, -69, -67, -6, 35, 36, 45, 61, 76]
  Compare -69 and -67
  No swap needed
  Compare -67 and -6
  No swap needed

Pass 7:
  Compare -72 and -88
  Swap -72 and -88
  List after swap: [-88, -72, -69, -67, -6, 35, 36, 45, 61, 76]
  Compare -72 and -69
  No swap needed
  Compare -69 and -67
  No swap needed

Pass 8:
  Compare -88 and -72
  No swap needed
  Compare -72 and -69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -72, -69, -67, -6, 35, 36, 45, 61, 76]
</think>

<response>-88, -72, -69, -67, -6, 35, 36, 45, 61, 76</response>


input: Sort these integers 59, -86, -56, 80, 82, 52, 47, -66, 96, 7 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [59, -86, -56, 80, 82, 52, 47, -66, 96, 7]

Pass 1:
  Compare 59 and -86
  Swap 59 and -86
  List after swap: [-86, 59, -56, 80, 82, 52, 47, -66, 96, 7]
  Compare 59 and -56
  Swap 59 and -56
  List after swap: [-86, -56, 59, 80, 82, 52, 47, -66, 96, 7]
  Compare 59 and 80
  No swap needed
  Compare 80 and 82
  No swap needed
  Compare 82 and 52
  Swap 82 and 52
  List after swap: [-86, -56, 59, 80, 52, 82, 47, -66, 96, 7]
  Compare 82 and 47
  Swap 82 and 47
  List after swap: [-86, -56, 59, 80, 52, 47, 82, -66, 96, 7]
  Compare 82 and -66
  Swap 82 and -66
  List after swap: [-86, -56, 59, 80, 52, 47, -66, 82, 96, 7]
  Compare 82 and 96
  No swap needed
  Compare 96 and 7
  Swap 96 and 7
  List after swap: [-86, -56, 59, 80, 52, 47, -66, 82, 7, 96]

Pass 2:
  Compare -86 and -56
  No swap needed
  Compare -56 and 59
  No swap needed
  Compare 59 and 80
  No swap needed
  Compare 80 and 52
  Swap 80 and 52
  List after swap: [-86, -56, 59, 52, 80, 47, -66, 82, 7, 96]
  Compare 80 and 47
  Swap 80 and 47
  List after swap: [-86, -56, 59, 52, 47, 80, -66, 82, 7, 96]
  Compare 80 and -66
  Swap 80 and -66
  List after swap: [-86, -56, 59, 52, 47, -66, 80, 82, 7, 96]
  Compare 80 and 82
  No swap needed
  Compare 82 and 7
  Swap 82 and 7
  List after swap: [-86, -56, 59, 52, 47, -66, 80, 7, 82, 96]

Pass 3:
  Compare -86 and -56
  No swap needed
  Compare -56 and 59
  No swap needed
  Compare 59 and 52
  Swap 59 and 52
  List after swap: [-86, -56, 52, 59, 47, -66, 80, 7, 82, 96]
  Compare 59 and 47
  Swap 59 and 47
  List after swap: [-86, -56, 52, 47, 59, -66, 80, 7, 82, 96]
  Compare 59 and -66
  Swap 59 and -66
  List after swap: [-86, -56, 52, 47, -66, 59, 80, 7, 82, 96]
  Compare 59 and 80
  No swap needed
  Compare 80 and 7
  Swap 80 and 7
  List after swap: [-86, -56, 52, 47, -66, 59, 7, 80, 82, 96]

Pass 4:
  Compare -86 and -56
  No swap needed
  Compare -56 and 52
  No swap needed
  Compare 52 and 47
  Swap 52 and 47
  List after swap: [-86, -56, 47, 52, -66, 59, 7, 80, 82, 96]
  Compare 52 and -66
  Swap 52 and -66
  List after swap: [-86, -56, 47, -66, 52, 59, 7, 80, 82, 96]
  Compare 52 and 59
  No swap needed
  Compare 59 and 7
  Swap 59 and 7
  List after swap: [-86, -56, 47, -66, 52, 7, 59, 80, 82, 96]

Pass 5:
  Compare -86 and -56
  No swap needed
  Compare -56 and 47
  No swap needed
  Compare 47 and -66
  Swap 47 and -66
  List after swap: [-86, -56, -66, 47, 52, 7, 59, 80, 82, 96]
  Compare 47 and 52
  No swap needed
  Compare 52 and 7
  Swap 52 and 7
  List after swap: [-86, -56, -66, 47, 7, 52, 59, 80, 82, 96]

Pass 6:
  Compare -86 and -56
  No swap needed
  Compare -56 and -66
  Swap -56 and -66
  List after swap: [-86, -66, -56, 47, 7, 52, 59, 80, 82, 96]
  Compare -56 and 47
  No swap needed
  Compare 47 and 7
  Swap 47 and 7
  List after swap: [-86, -66, -56, 7, 47, 52, 59, 80, 82, 96]

Pass 7:
  Compare -86 and -66
  No swap needed
  Compare -66 and -56
  No swap needed
  Compare -56 and 7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -66, -56, 7, 47, 52, 59, 80, 82, 96]
</think>

<response>-86, -66, -56, 7, 47, 52, 59, 80, 82, 96</response>


input: Perform a bubble sort on the integers 69, 47, -37, 77, -46, 13, -94, 91, 18, 97, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [69, 47, -37, 77, -46, 13, -94, 91, 18, 97]

Pass 1:
  Compare 69 and 47
  Swap 69 and 47
  List after swap: [47, 69, -37, 77, -46, 13, -94, 91, 18, 97]
  Compare 69 and -37
  Swap 69 and -37
  List after swap: [47, -37, 69, 77, -46, 13, -94, 91, 18, 97]
  Compare 69 and 77
  No swap needed
  Compare 77 and -46
  Swap 77 and -46
  List after swap: [47, -37, 69, -46, 77, 13, -94, 91, 18, 97]
  Compare 77 and 13
  Swap 77 and 13
  List after swap: [47, -37, 69, -46, 13, 77, -94, 91, 18, 97]
  Compare 77 and -94
  Swap 77 and -94
  List after swap: [47, -37, 69, -46, 13, -94, 77, 91, 18, 97]
  Compare 77 and 91
  No swap needed
  Compare 91 and 18
  Swap 91 and 18
  List after swap: [47, -37, 69, -46, 13, -94, 77, 18, 91, 97]
  Compare 91 and 97
  No swap needed

Pass 2:
  Compare 47 and -37
  Swap 47 and -37
  List after swap: [-37, 47, 69, -46, 13, -94, 77, 18, 91, 97]
  Compare 47 and 69
  No swap needed
  Compare 69 and -46
  Swap 69 and -46
  List after swap: [-37, 47, -46, 69, 13, -94, 77, 18, 91, 97]
  Compare 69 and 13
  Swap 69 and 13
  List after swap: [-37, 47, -46, 13, 69, -94, 77, 18, 91, 97]
  Compare 69 and -94
  Swap 69 and -94
  List after swap: [-37, 47, -46, 13, -94, 69, 77, 18, 91, 97]
  Compare 69 and 77
  No swap needed
  Compare 77 and 18
  Swap 77 and 18
  List after swap: [-37, 47, -46, 13, -94, 69, 18, 77, 91, 97]
  Compare 77 and 91
  No swap needed

Pass 3:
  Compare -37 and 47
  No swap needed
  Compare 47 and -46
  Swap 47 and -46
  List after swap: [-37, -46, 47, 13, -94, 69, 18, 77, 91, 97]
  Compare 47 and 13
  Swap 47 and 13
  List after swap: [-37, -46, 13, 47, -94, 69, 18, 77, 91, 97]
  Compare 47 and -94
  Swap 47 and -94
  List after swap: [-37, -46, 13, -94, 47, 69, 18, 77, 91, 97]
  Compare 47 and 69
  No swap needed
  Compare 69 and 18
  Swap 69 and 18
  List after swap: [-37, -46, 13, -94, 47, 18, 69, 77, 91, 97]
  Compare 69 and 77
  No swap needed

Pass 4:
  Compare -37 and -46
  Swap -37 and -46
  List after swap: [-46, -37, 13, -94, 47, 18, 69, 77, 91, 97]
  Compare -37 and 13
  No swap needed
  Compare 13 and -94
  Swap 13 and -94
  List after swap: [-46, -37, -94, 13, 47, 18, 69, 77, 91, 97]
  Compare 13 and 47
  No swap needed
  Compare 47 and 18
  Swap 47 and 18
  List after swap: [-46, -37, -94, 13, 18, 47, 69, 77, 91, 97]
  Compare 47 and 69
  No swap needed

Pass 5:
  Compare -46 and -37
  No swap needed
  Compare -37 and -94
  Swap -37 and -94
  List after swap: [-46, -94, -37, 13, 18, 47, 69, 77, 91, 97]
  Compare -37 and 13
  No swap needed
  Compare 13 and 18
  No swap needed
  Compare 18 and 47
  No swap needed

Pass 6:
  Compare -46 and -94
  Swap -46 and -94
  List after swap: [-94, -46, -37, 13, 18, 47, 69, 77, 91, 97]
  Compare -46 and -37
  No swap needed
  Compare -37 and 13
  No swap needed
  Compare 13 and 18
  No swap needed

Pass 7:
  Compare -94 and -46
  No swap needed
  Compare -46 and -37
  No swap needed
  Compare -37 and 13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -46, -37, 13, 18, 47, 69, 77, 91, 97]
</think>

<response>-94, -46, -37, 13, 18, 47, 69, 77, 91, 97</response>


input: Implement bubble sort on 65, -93, 2, -11, 3, -82, 77, -16 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [65, -93, 2, -11, 3, -82, 77, -16]

Pass 1:
  Compare 65 and -93
  Swap 65 and -93
  List after swap: [-93, 65, 2, -11, 3, -82, 77, -16]
  Compare 65 and 2
  Swap 65 and 2
  List after swap: [-93, 2, 65, -11, 3, -82, 77, -16]
  Compare 65 and -11
  Swap 65 and -11
  List after swap: [-93, 2, -11, 65, 3, -82, 77, -16]
  Compare 65 and 3
  Swap 65 and 3
  List after swap: [-93, 2, -11, 3, 65, -82, 77, -16]
  Compare 65 and -82
  Swap 65 and -82
  List after swap: [-93, 2, -11, 3, -82, 65, 77, -16]
  Compare 65 and 77
  No swap needed
  Compare 77 and -16
  Swap 77 and -16
  List after swap: [-93, 2, -11, 3, -82, 65, -16, 77]

Pass 2:
  Compare -93 and 2
  No swap needed
  Compare 2 and -11
  Swap 2 and -11
  List after swap: [-93, -11, 2, 3, -82, 65, -16, 77]
  Compare 2 and 3
  No swap needed
  Compare 3 and -82
  Swap 3 and -82
  List after swap: [-93, -11, 2, -82, 3, 65, -16, 77]
  Compare 3 and 65
  No swap needed
  Compare 65 and -16
  Swap 65 and -16
  List after swap: [-93, -11, 2, -82, 3, -16, 65, 77]

Pass 3:
  Compare -93 and -11
  No swap needed
  Compare -11 and 2
  No swap needed
  Compare 2 and -82
  Swap 2 and -82
  List after swap: [-93, -11, -82, 2, 3, -16, 65, 77]
  Compare 2 and 3
  No swap needed
  Compare 3 and -16
  Swap 3 and -16
  List after swap: [-93, -11, -82, 2, -16, 3, 65, 77]

Pass 4:
  Compare -93 and -11
  No swap needed
  Compare -11 and -82
  Swap -11 and -82
  List after swap: [-93, -82, -11, 2, -16, 3, 65, 77]
  Compare -11 and 2
  No swap needed
  Compare 2 and -16
  Swap 2 and -16
  List after swap: [-93, -82, -11, -16, 2, 3, 65, 77]

Pass 5:
  Compare -93 and -82
  No swap needed
  Compare -82 and -11
  No swap needed
  Compare -11 and -16
  Swap -11 and -16
  List after swap: [-93, -82, -16, -11, 2, 3, 65, 77]

Pass 6:
  Compare -93 and -82
  No swap needed
  Compare -82 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -82, -16, -11, 2, 3, 65, 77]
</think>

<response>-93, -82, -16, -11, 2, 3, 65, 77</response>


input: Sort these integers -58, 34, 52, 62, 29, -42, 27, -33 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-58, 34, 52, 62, 29, -42, 27, -33]

Pass 1:
  Compare -58 and 34
  No swap needed
  Compare 34 and 52
  No swap needed
  Compare 52 and 62
  No swap needed
  Compare 62 and 29
  Swap 62 and 29
  List after swap: [-58, 34, 52, 29, 62, -42, 27, -33]
  Compare 62 and -42
  Swap 62 and -42
  List after swap: [-58, 34, 52, 29, -42, 62, 27, -33]
  Compare 62 and 27
  Swap 62 and 27
  List after swap: [-58, 34, 52, 29, -42, 27, 62, -33]
  Compare 62 and -33
  Swap 62 and -33
  List after swap: [-58, 34, 52, 29, -42, 27, -33, 62]

Pass 2:
  Compare -58 and 34
  No swap needed
  Compare 34 and 52
  No swap needed
  Compare 52 and 29
  Swap 52 and 29
  List after swap: [-58, 34, 29, 52, -42, 27, -33, 62]
  Compare 52 and -42
  Swap 52 and -42
  List after swap: [-58, 34, 29, -42, 52, 27, -33, 62]
  Compare 52 and 27
  Swap 52 and 27
  List after swap: [-58, 34, 29, -42, 27, 52, -33, 62]
  Compare 52 and -33
  Swap 52 and -33
  List after swap: [-58, 34, 29, -42, 27, -33, 52, 62]

Pass 3:
  Compare -58 and 34
  No swap needed
  Compare 34 and 29
  Swap 34 and 29
  List after swap: [-58, 29, 34, -42, 27, -33, 52, 62]
  Compare 34 and -42
  Swap 34 and -42
  List after swap: [-58, 29, -42, 34, 27, -33, 52, 62]
  Compare 34 and 27
  Swap 34 and 27
  List after swap: [-58, 29, -42, 27, 34, -33, 52, 62]
  Compare 34 and -33
  Swap 34 and -33
  List after swap: [-58, 29, -42, 27, -33, 34, 52, 62]

Pass 4:
  Compare -58 and 29
  No swap needed
  Compare 29 and -42
  Swap 29 and -42
  List after swap: [-58, -42, 29, 27, -33, 34, 52, 62]
  Compare 29 and 27
  Swap 29 and 27
  List after swap: [-58, -42, 27, 29, -33, 34, 52, 62]
  Compare 29 and -33
  Swap 29 and -33
  List after swap: [-58, -42, 27, -33, 29, 34, 52, 62]

Pass 5:
  Compare -58 and -42
  No swap needed
  Compare -42 and 27
  No swap needed
  Compare 27 and -33
  Swap 27 and -33
  List after swap: [-58, -42, -33, 27, 29, 34, 52, 62]

Pass 6:
  Compare -58 and -42
  No swap needed
  Compare -42 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -42, -33, 27, 29, 34, 52, 62]
</think>

<response>-58, -42, -33, 27, 29, 34, 52, 62</response>


input: Carry out the bubble sort algorithm on -80, 15 to arrange them from smallest to largest, documenting each step.

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

Pass 1:
  Compare -80 and 15
  No swap needed
  No swaps in this pass, list is sorted.

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

<response>-80, 15</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 61, 74, -31, 56, 50.

output:
<think>
Initial list: [61, 74, -31, 56, 50]

Pass 1:
  Compare 61 and 74
  No swap needed
  Compare 74 and -31
  Swap 74 and -31
  List after swap: [61, -31, 74, 56, 50]
  Compare 74 and 56
  Swap 74 and 56
  List after swap: [61, -31, 56, 74, 50]
  Compare 74 and 50
  Swap 74 and 50
  List after swap: [61, -31, 56, 50, 74]

Pass 2:
  Compare 61 and -31
  Swap 61 and -31
  List after swap: [-31, 61, 56, 50, 74]
  Compare 61 and 56
  Swap 61 and 56
  List after swap: [-31, 56, 61, 50, 74]
  Compare 61 and 50
  Swap 61 and 50
  List after swap: [-31, 56, 50, 61, 74]

Pass 3:
  Compare -31 and 56
  No swap needed
  Compare 56 and 50
  Swap 56 and 50
  List after swap: [-31, 50, 56, 61, 74]

Pass 4:
  Compare -31 and 50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-31, 50, 56, 61, 74]
</think>

<response>-31, 50, 56, 61, 74</response>


input: Using the bubble sort method, sort 52, -85, 33 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [52, -85, 33]

Pass 1:
  Compare 52 and -85
  Swap 52 and -85
  List after swap: [-85, 52, 33]
  Compare 52 and 33
  Swap 52 and 33
  List after swap: [-85, 33, 52]

Pass 2:
  Compare -85 and 33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, 33, 52]
</think>

<response>-85, 33, 52</response>


input: Sort these integers 21, -19, 92, -95, -10, 49, -20, 64, 34 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [21, -19, 92, -95, -10, 49, -20, 64, 34]

Pass 1:
  Compare 21 and -19
  Swap 21 and -19
  List after swap: [-19, 21, 92, -95, -10, 49, -20, 64, 34]
  Compare 21 and 92
  No swap needed
  Compare 92 and -95
  Swap 92 and -95
  List after swap: [-19, 21, -95, 92, -10, 49, -20, 64, 34]
  Compare 92 and -10
  Swap 92 and -10
  List after swap: [-19, 21, -95, -10, 92, 49, -20, 64, 34]
  Compare 92 and 49
  Swap 92 and 49
  List after swap: [-19, 21, -95, -10, 49, 92, -20, 64, 34]
  Compare 92 and -20
  Swap 92 and -20
  List after swap: [-19, 21, -95, -10, 49, -20, 92, 64, 34]
  Compare 92 and 64
  Swap 92 and 64
  List after swap: [-19, 21, -95, -10, 49, -20, 64, 92, 34]
  Compare 92 and 34
  Swap 92 and 34
  List after swap: [-19, 21, -95, -10, 49, -20, 64, 34, 92]

Pass 2:
  Compare -19 and 21
  No swap needed
  Compare 21 and -95
  Swap 21 and -95
  List after swap: [-19, -95, 21, -10, 49, -20, 64, 34, 92]
  Compare 21 and -10
  Swap 21 and -10
  List after swap: [-19, -95, -10, 21, 49, -20, 64, 34, 92]
  Compare 21 and 49
  No swap needed
  Compare 49 and -20
  Swap 49 and -20
  List after swap: [-19, -95, -10, 21, -20, 49, 64, 34, 92]
  Compare 49 and 64
  No swap needed
  Compare 64 and 34
  Swap 64 and 34
  List after swap: [-19, -95, -10, 21, -20, 49, 34, 64, 92]

Pass 3:
  Compare -19 and -95
  Swap -19 and -95
  List after swap: [-95, -19, -10, 21, -20, 49, 34, 64, 92]
  Compare -19 and -10
  No swap needed
  Compare -10 and 21
  No swap needed
  Compare 21 and -20
  Swap 21 and -20
  List after swap: [-95, -19, -10, -20, 21, 49, 34, 64, 92]
  Compare 21 and 49
  No swap needed
  Compare 49 and 34
  Swap 49 and 34
  List after swap: [-95, -19, -10, -20, 21, 34, 49, 64, 92]

Pass 4:
  Compare -95 and -19
  No swap needed
  Compare -19 and -10
  No swap needed
  Compare -10 and -20
  Swap -10 and -20
  List after swap: [-95, -19, -20, -10, 21, 34, 49, 64, 92]
  Compare -10 and 21
  No swap needed
  Compare 21 and 34
  No swap needed

Pass 5:
  Compare -95 and -19
  No swap needed
  Compare -19 and -20
  Swap -19 and -20
  List after swap: [-95, -20, -19, -10, 21, 34, 49, 64, 92]
  Compare -19 and -10
  No swap needed
  Compare -10 and 21
  No swap needed

Pass 6:
  Compare -95 and -20
  No swap needed
  Compare -20 and -19
  No swap needed
  Compare -19 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -20, -19, -10, 21, 34, 49, 64, 92]
</think>

<response>-95, -20, -19, -10, 21, 34, 49, 64, 92</response>


input: Sort these integers 19, -22, -9, -13, -17, -49, 20, -26, 86, 84 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [19, -22, -9, -13, -17, -49, 20, -26, 86, 84]

Pass 1:
  Compare 19 and -22
  Swap 19 and -22
  List after swap: [-22, 19, -9, -13, -17, -49, 20, -26, 86, 84]
  Compare 19 and -9
  Swap 19 and -9
  List after swap: [-22, -9, 19, -13, -17, -49, 20, -26, 86, 84]
  Compare 19 and -13
  Swap 19 and -13
  List after swap: [-22, -9, -13, 19, -17, -49, 20, -26, 86, 84]
  Compare 19 and -17
  Swap 19 and -17
  List after swap: [-22, -9, -13, -17, 19, -49, 20, -26, 86, 84]
  Compare 19 and -49
  Swap 19 and -49
  List after swap: [-22, -9, -13, -17, -49, 19, 20, -26, 86, 84]
  Compare 19 and 20
  No swap needed
  Compare 20 and -26
  Swap 20 and -26
  List after swap: [-22, -9, -13, -17, -49, 19, -26, 20, 86, 84]
  Compare 20 and 86
  No swap needed
  Compare 86 and 84
  Swap 86 and 84
  List after swap: [-22, -9, -13, -17, -49, 19, -26, 20, 84, 86]

Pass 2:
  Compare -22 and -9
  No swap needed
  Compare -9 and -13
  Swap -9 and -13
  List after swap: [-22, -13, -9, -17, -49, 19, -26, 20, 84, 86]
  Compare -9 and -17
  Swap -9 and -17
  List after swap: [-22, -13, -17, -9, -49, 19, -26, 20, 84, 86]
  Compare -9 and -49
  Swap -9 and -49
  List after swap: [-22, -13, -17, -49, -9, 19, -26, 20, 84, 86]
  Compare -9 and 19
  No swap needed
  Compare 19 and -26
  Swap 19 and -26
  List after swap: [-22, -13, -17, -49, -9, -26, 19, 20, 84, 86]
  Compare 19 and 20
  No swap needed
  Compare 20 and 84
  No swap needed

Pass 3:
  Compare -22 and -13
  No swap needed
  Compare -13 and -17
  Swap -13 and -17
  List after swap: [-22, -17, -13, -49, -9, -26, 19, 20, 84, 86]
  Compare -13 and -49
  Swap -13 and -49
  List after swap: [-22, -17, -49, -13, -9, -26, 19, 20, 84, 86]
  Compare -13 and -9
  No swap needed
  Compare -9 and -26
  Swap -9 and -26
  List after swap: [-22, -17, -49, -13, -26, -9, 19, 20, 84, 86]
  Compare -9 and 19
  No swap needed
  Compare 19 and 20
  No swap needed

Pass 4:
  Compare -22 and -17
  No swap needed
  Compare -17 and -49
  Swap -17 and -49
  List after swap: [-22, -49, -17, -13, -26, -9, 19, 20, 84, 86]
  Compare -17 and -13
  No swap needed
  Compare -13 and -26
  Swap -13 and -26
  List after swap: [-22, -49, -17, -26, -13, -9, 19, 20, 84, 86]
  Compare -13 and -9
  No swap needed
  Compare -9 and 19
  No swap needed

Pass 5:
  Compare -22 and -49
  Swap -22 and -49
  List after swap: [-49, -22, -17, -26, -13, -9, 19, 20, 84, 86]
  Compare -22 and -17
  No swap needed
  Compare -17 and -26
  Swap -17 and -26
  List after swap: [-49, -22, -26, -17, -13, -9, 19, 20, 84, 86]
  Compare -17 and -13
  No swap needed
  Compare -13 and -9
  No swap needed

Pass 6:
  Compare -49 and -22
  No swap needed
  Compare -22 and -26
  Swap -22 and -26
  List after swap: [-49, -26, -22, -17, -13, -9, 19, 20, 84, 86]
  Compare -22 and -17
  No swap needed
  Compare -17 and -13
  No swap needed

Pass 7:
  Compare -49 and -26
  No swap needed
  Compare -26 and -22
  No swap needed
  Compare -22 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-49, -26, -22, -17, -13, -9, 19, 20, 84, 86]
</think>

<response>-49, -26, -22, -17, -13, -9, 19, 20, 84, 86</response>


input: Sort these integers -92, -57, -47, -72, 72, -27, -90 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-92, -57, -47, -72, 72, -27, -90]

Pass 1:
  Compare -92 and -57
  No swap needed
  Compare -57 and -47
  No swap needed
  Compare -47 and -72
  Swap -47 and -72
  List after swap: [-92, -57, -72, -47, 72, -27, -90]
  Compare -47 and 72
  No swap needed
  Compare 72 and -27
  Swap 72 and -27
  List after swap: [-92, -57, -72, -47, -27, 72, -90]
  Compare 72 and -90
  Swap 72 and -90
  List after swap: [-92, -57, -72, -47, -27, -90, 72]

Pass 2:
  Compare -92 and -57
  No swap needed
  Compare -57 and -72
  Swap -57 and -72
  List after swap: [-92, -72, -57, -47, -27, -90, 72]
  Compare -57 and -47
  No swap needed
  Compare -47 and -27
  No swap needed
  Compare -27 and -90
  Swap -27 and -90
  List after swap: [-92, -72, -57, -47, -90, -27, 72]

Pass 3:
  Compare -92 and -72
  No swap needed
  Compare -72 and -57
  No swap needed
  Compare -57 and -47
  No swap needed
  Compare -47 and -90
  Swap -47 and -90
  List after swap: [-92, -72, -57, -90, -47, -27, 72]

Pass 4:
  Compare -92 and -72
  No swap needed
  Compare -72 and -57
  No swap needed
  Compare -57 and -90
  Swap -57 and -90
  List after swap: [-92, -72, -90, -57, -47, -27, 72]

Pass 5:
  Compare -92 and -72
  No swap needed
  Compare -72 and -90
  Swap -72 and -90
  List after swap: [-92, -90, -72, -57, -47, -27, 72]

Pass 6:
  Compare -92 and -90
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -90, -72, -57, -47, -27, 72]
</think>

<response>-92, -90, -72, -57, -47, -27, 72</response>


input: Sort these integers 66, 55, 86, -72, -50, -22, -75, 57, 50, -89 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [66, 55, 86, -72, -50, -22, -75, 57, 50, -89]

Pass 1:
  Compare 66 and 55
  Swap 66 and 55
  List after swap: [55, 66, 86, -72, -50, -22, -75, 57, 50, -89]
  Compare 66 and 86
  No swap needed
  Compare 86 and -72
  Swap 86 and -72
  List after swap: [55, 66, -72, 86, -50, -22, -75, 57, 50, -89]
  Compare 86 and -50
  Swap 86 and -50
  List after swap: [55, 66, -72, -50, 86, -22, -75, 57, 50, -89]
  Compare 86 and -22
  Swap 86 and -22
  List after swap: [55, 66, -72, -50, -22, 86, -75, 57, 50, -89]
  Compare 86 and -75
  Swap 86 and -75
  List after swap: [55, 66, -72, -50, -22, -75, 86, 57, 50, -89]
  Compare 86 and 57
  Swap 86 and 57
  List after swap: [55, 66, -72, -50, -22, -75, 57, 86, 50, -89]
  Compare 86 and 50
  Swap 86 and 50
  List after swap: [55, 66, -72, -50, -22, -75, 57, 50, 86, -89]
  Compare 86 and -89
  Swap 86 and -89
  List after swap: [55, 66, -72, -50, -22, -75, 57, 50, -89, 86]

Pass 2:
  Compare 55 and 66
  No swap needed
  Compare 66 and -72
  Swap 66 and -72
  List after swap: [55, -72, 66, -50, -22, -75, 57, 50, -89, 86]
  Compare 66 and -50
  Swap 66 and -50
  List after swap: [55, -72, -50, 66, -22, -75, 57, 50, -89, 86]
  Compare 66 and -22
  Swap 66 and -22
  List after swap: [55, -72, -50, -22, 66, -75, 57, 50, -89, 86]
  Compare 66 and -75
  Swap 66 and -75
  List after swap: [55, -72, -50, -22, -75, 66, 57, 50, -89, 86]
  Compare 66 and 57
  Swap 66 and 57
  List after swap: [55, -72, -50, -22, -75, 57, 66, 50, -89, 86]
  Compare 66 and 50
  Swap 66 and 50
  List after swap: [55, -72, -50, -22, -75, 57, 50, 66, -89, 86]
  Compare 66 and -89
  Swap 66 and -89
  List after swap: [55, -72, -50, -22, -75, 57, 50, -89, 66, 86]

Pass 3:
  Compare 55 and -72
  Swap 55 and -72
  List after swap: [-72, 55, -50, -22, -75, 57, 50, -89, 66, 86]
  Compare 55 and -50
  Swap 55 and -50
  List after swap: [-72, -50, 55, -22, -75, 57, 50, -89, 66, 86]
  Compare 55 and -22
  Swap 55 and -22
  List after swap: [-72, -50, -22, 55, -75, 57, 50, -89, 66, 86]
  Compare 55 and -75
  Swap 55 and -75
  List after swap: [-72, -50, -22, -75, 55, 57, 50, -89, 66, 86]
  Compare 55 and 57
  No swap needed
  Compare 57 and 50
  Swap 57 and 50
  List after swap: [-72, -50, -22, -75, 55, 50, 57, -89, 66, 86]
  Compare 57 and -89
  Swap 57 and -89
  List after swap: [-72, -50, -22, -75, 55, 50, -89, 57, 66, 86]

Pass 4:
  Compare -72 and -50
  No swap needed
  Compare -50 and -22
  No swap needed
  Compare -22 and -75
  Swap -22 and -75
  List after swap: [-72, -50, -75, -22, 55, 50, -89, 57, 66, 86]
  Compare -22 and 55
  No swap needed
  Compare 55 and 50
  Swap 55 and 50
  List after swap: [-72, -50, -75, -22, 50, 55, -89, 57, 66, 86]
  Compare 55 and -89
  Swap 55 and -89
  List after swap: [-72, -50, -75, -22, 50, -89, 55, 57, 66, 86]

Pass 5:
  Compare -72 and -50
  No swap needed
  Compare -50 and -75
  Swap -50 and -75
  List after swap: [-72, -75, -50, -22, 50, -89, 55, 57, 66, 86]
  Compare -50 and -22
  No swap needed
  Compare -22 and 50
  No swap needed
  Compare 50 and -89
  Swap 50 and -89
  List after swap: [-72, -75, -50, -22, -89, 50, 55, 57, 66, 86]

Pass 6:
  Compare -72 and -75
  Swap -72 and -75
  List after swap: [-75, -72, -50, -22, -89, 50, 55, 57, 66, 86]
  Compare -72 and -50
  No swap needed
  Compare -50 and -22
  No swap needed
  Compare -22 and -89
  Swap -22 and -89
  List after swap: [-75, -72, -50, -89, -22, 50, 55, 57, 66, 86]

Pass 7:
  Compare -75 and -72
  No swap needed
  Compare -72 and -50
  No swap needed
  Compare -50 and -89
  Swap -50 and -89
  List after swap: [-75, -72, -89, -50, -22, 50, 55, 57, 66, 86]

Pass 8:
  Compare -75 and -72
  No swap needed
  Compare -72 and -89
  Swap -72 and -89
  List after swap: [-75, -89, -72, -50, -22, 50, 55, 57, 66, 86]

Pass 9:
  Compare -75 and -89
  Swap -75 and -89
  List after swap: [-89, -75, -72, -50, -22, 50, 55, 57, 66, 86]

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

Final sorted list: [-89, -75, -72, -50, -22, 50, 55, 57, 66, 86]
</think>

<response>-89, -75, -72, -50, -22, 50, 55, 57, 66, 86</response>


input: Perform a bubble sort on the integers -54, -86, -92, -48, -10, -11, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-54, -86, -92, -48, -10, -11]

Pass 1:
  Compare -54 and -86
  Swap -54 and -86
  List after swap: [-86, -54, -92, -48, -10, -11]
  Compare -54 and -92
  Swap -54 and -92
  List after swap: [-86, -92, -54, -48, -10, -11]
  Compare -54 and -48
  No swap needed
  Compare -48 and -10
  No swap needed
  Compare -10 and -11
  Swap -10 and -11
  List after swap: [-86, -92, -54, -48, -11, -10]

Pass 2:
  Compare -86 and -92
  Swap -86 and -92
  List after swap: [-92, -86, -54, -48, -11, -10]
  Compare -86 and -54
  No swap needed
  Compare -54 and -48
  No swap needed
  Compare -48 and -11
  No swap needed

Pass 3:
  Compare -92 and -86
  No swap needed
  Compare -86 and -54
  No swap needed
  Compare -54 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -86, -54, -48, -11, -10]
</think>

<response>-92, -86, -54, -48, -11, -10</response>


input: Implement bubble sort on 18, 10, 7, 46, -81, 60 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [18, 10, 7, 46, -81, 60]

Pass 1:
  Compare 18 and 10
  Swap 18 and 10
  List after swap: [10, 18, 7, 46, -81, 60]
  Compare 18 and 7
  Swap 18 and 7
  List after swap: [10, 7, 18, 46, -81, 60]
  Compare 18 and 46
  No swap needed
  Compare 46 and -81
  Swap 46 and -81
  List after swap: [10, 7, 18, -81, 46, 60]
  Compare 46 and 60
  No swap needed

Pass 2:
  Compare 10 and 7
  Swap 10 and 7
  List after swap: [7, 10, 18, -81, 46, 60]
  Compare 10 and 18
  No swap needed
  Compare 18 and -81
  Swap 18 and -81
  List after swap: [7, 10, -81, 18, 46, 60]
  Compare 18 and 46
  No swap needed

Pass 3:
  Compare 7 and 10
  No swap needed
  Compare 10 and -81
  Swap 10 and -81
  List after swap: [7, -81, 10, 18, 46, 60]
  Compare 10 and 18
  No swap needed

Pass 4:
  Compare 7 and -81
  Swap 7 and -81
  List after swap: [-81, 7, 10, 18, 46, 60]
  Compare 7 and 10
  No swap needed

Pass 5:
  Compare -81 and 7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, 7, 10, 18, 46, 60]
</think>

<response>-81, 7, 10, 18, 46, 60</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 47, 48, -88, -39, -48, 30.

output:
<think>
Initial list: [47, 48, -88, -39, -48, 30]

Pass 1:
  Compare 47 and 48
  No swap needed
  Compare 48 and -88
  Swap 48 and -88
  List after swap: [47, -88, 48, -39, -48, 30]
  Compare 48 and -39
  Swap 48 and -39
  List after swap: [47, -88, -39, 48, -48, 30]
  Compare 48 and -48
  Swap 48 and -48
  List after swap: [47, -88, -39, -48, 48, 30]
  Compare 48 and 30
  Swap 48 and 30
  List after swap: [47, -88, -39, -48, 30, 48]

Pass 2:
  Compare 47 and -88
  Swap 47 and -88
  List after swap: [-88, 47, -39, -48, 30, 48]
  Compare 47 and -39
  Swap 47 and -39
  List after swap: [-88, -39, 47, -48, 30, 48]
  Compare 47 and -48
  Swap 47 and -48
  List after swap: [-88, -39, -48, 47, 30, 48]
  Compare 47 and 30
  Swap 47 and 30
  List after swap: [-88, -39, -48, 30, 47, 48]

Pass 3:
  Compare -88 and -39
  No swap needed
  Compare -39 and -48
  Swap -39 and -48
  List after swap: [-88, -48, -39, 30, 47, 48]
  Compare -39 and 30
  No swap needed

Pass 4:
  Compare -88 and -48
  No swap needed
  Compare -48 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -48, -39, 30, 47, 48]
</think>

<response>-88, -48, -39, 30, 47, 48</response>


input: Sort the list 96, 86 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [96, 86]

Pass 1:
  Compare 96 and 86
  Swap 96 and 86
  List after swap: [86, 96]

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

Final sorted list: [86, 96]
</think>

<response>86, 96</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -4, -3, 84, -5, -31.

output:
<think>
Initial list: [-4, -3, 84, -5, -31]

Pass 1:
  Compare -4 and -3
  No swap needed
  Compare -3 and 84
  No swap needed
  Compare 84 and -5
  Swap 84 and -5
  List after swap: [-4, -3, -5, 84, -31]
  Compare 84 and -31
  Swap 84 and -31
  List after swap: [-4, -3, -5, -31, 84]

Pass 2:
  Compare -4 and -3
  No swap needed
  Compare -3 and -5
  Swap -3 and -5
  List after swap: [-4, -5, -3, -31, 84]
  Compare -3 and -31
  Swap -3 and -31
  List after swap: [-4, -5, -31, -3, 84]

Pass 3:
  Compare -4 and -5
  Swap -4 and -5
  List after swap: [-5, -4, -31, -3, 84]
  Compare -4 and -31
  Swap -4 and -31
  List after swap: [-5, -31, -4, -3, 84]

Pass 4:
  Compare -5 and -31
  Swap -5 and -31
  List after swap: [-31, -5, -4, -3, 84]

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

Final sorted list: [-31, -5, -4, -3, 84]
</think>

<response>-31, -5, -4, -3, 84</response>


input: Sort the list -25, 55 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-25, 55]

Pass 1:
  Compare -25 and 55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-25, 55]
</think>

<response>-25, 55</response>


input: Perform a bubble sort on the integers -66, 19, 94, 95, 37, -19, -75, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-66, 19, 94, 95, 37, -19, -75]

Pass 1:
  Compare -66 and 19
  No swap needed
  Compare 19 and 94
  No swap needed
  Compare 94 and 95
  No swap needed
  Compare 95 and 37
  Swap 95 and 37
  List after swap: [-66, 19, 94, 37, 95, -19, -75]
  Compare 95 and -19
  Swap 95 and -19
  List after swap: [-66, 19, 94, 37, -19, 95, -75]
  Compare 95 and -75
  Swap 95 and -75
  List after swap: [-66, 19, 94, 37, -19, -75, 95]

Pass 2:
  Compare -66 and 19
  No swap needed
  Compare 19 and 94
  No swap needed
  Compare 94 and 37
  Swap 94 and 37
  List after swap: [-66, 19, 37, 94, -19, -75, 95]
  Compare 94 and -19
  Swap 94 and -19
  List after swap: [-66, 19, 37, -19, 94, -75, 95]
  Compare 94 and -75
  Swap 94 and -75
  List after swap: [-66, 19, 37, -19, -75, 94, 95]

Pass 3:
  Compare -66 and 19
  No swap needed
  Compare 19 and 37
  No swap needed
  Compare 37 and -19
  Swap 37 and -19
  List after swap: [-66, 19, -19, 37, -75, 94, 95]
  Compare 37 and -75
  Swap 37 and -75
  List after swap: [-66, 19, -19, -75, 37, 94, 95]

Pass 4:
  Compare -66 and 19
  No swap needed
  Compare 19 and -19
  Swap 19 and -19
  List after swap: [-66, -19, 19, -75, 37, 94, 95]
  Compare 19 and -75
  Swap 19 and -75
  List after swap: [-66, -19, -75, 19, 37, 94, 95]

Pass 5:
  Compare -66 and -19
  No swap needed
  Compare -19 and -75
  Swap -19 and -75
  List after swap: [-66, -75, -19, 19, 37, 94, 95]

Pass 6:
  Compare -66 and -75
  Swap -66 and -75
  List after swap: [-75, -66, -19, 19, 37, 94, 95]

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

Final sorted list: [-75, -66, -19, 19, 37, 94, 95]
</think>

<response>-75, -66, -19, 19, 37, 94, 95</response>


input: Execute bubble sort to sort -90, -17 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-90, -17]

Pass 1:
  Compare -90 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -17]
</think>

<response>-90, -17</response>