input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -35, 82, -99, -95.

output:
<think>
Initial list: [-35, 82, -99, -95]

Pass 1:
  Compare -35 and 82
  No swap needed
  Compare 82 and -99
  Swap 82 and -99
  List after swap: [-35, -99, 82, -95]
  Compare 82 and -95
  Swap 82 and -95
  List after swap: [-35, -99, -95, 82]

Pass 2:
  Compare -35 and -99
  Swap -35 and -99
  List after swap: [-99, -35, -95, 82]
  Compare -35 and -95
  Swap -35 and -95
  List after swap: [-99, -95, -35, 82]

Pass 3:
  Compare -99 and -95
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -95, -35, 82]
</think>

<response>-99, -95, -35, 82</response>


input: Execute bubble sort to sort 76, -1, 32 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [76, -1, 32]

Pass 1:
  Compare 76 and -1
  Swap 76 and -1
  List after swap: [-1, 76, 32]
  Compare 76 and 32
  Swap 76 and 32
  List after swap: [-1, 32, 76]

Pass 2:
  Compare -1 and 32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-1, 32, 76]
</think>

<response>-1, 32, 76</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -52, 58.

output:
<think>
Initial list: [-52, 58]

Pass 1:
  Compare -52 and 58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, 58]
</think>

<response>-52, 58</response>


input: Execute bubble sort to sort 4, 68, -91, 36, -32, -67, -74, 7, 63 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [4, 68, -91, 36, -32, -67, -74, 7, 63]

Pass 1:
  Compare 4 and 68
  No swap needed
  Compare 68 and -91
  Swap 68 and -91
  List after swap: [4, -91, 68, 36, -32, -67, -74, 7, 63]
  Compare 68 and 36
  Swap 68 and 36
  List after swap: [4, -91, 36, 68, -32, -67, -74, 7, 63]
  Compare 68 and -32
  Swap 68 and -32
  List after swap: [4, -91, 36, -32, 68, -67, -74, 7, 63]
  Compare 68 and -67
  Swap 68 and -67
  List after swap: [4, -91, 36, -32, -67, 68, -74, 7, 63]
  Compare 68 and -74
  Swap 68 and -74
  List after swap: [4, -91, 36, -32, -67, -74, 68, 7, 63]
  Compare 68 and 7
  Swap 68 and 7
  List after swap: [4, -91, 36, -32, -67, -74, 7, 68, 63]
  Compare 68 and 63
  Swap 68 and 63
  List after swap: [4, -91, 36, -32, -67, -74, 7, 63, 68]

Pass 2:
  Compare 4 and -91
  Swap 4 and -91
  List after swap: [-91, 4, 36, -32, -67, -74, 7, 63, 68]
  Compare 4 and 36
  No swap needed
  Compare 36 and -32
  Swap 36 and -32
  List after swap: [-91, 4, -32, 36, -67, -74, 7, 63, 68]
  Compare 36 and -67
  Swap 36 and -67
  List after swap: [-91, 4, -32, -67, 36, -74, 7, 63, 68]
  Compare 36 and -74
  Swap 36 and -74
  List after swap: [-91, 4, -32, -67, -74, 36, 7, 63, 68]
  Compare 36 and 7
  Swap 36 and 7
  List after swap: [-91, 4, -32, -67, -74, 7, 36, 63, 68]
  Compare 36 and 63
  No swap needed

Pass 3:
  Compare -91 and 4
  No swap needed
  Compare 4 and -32
  Swap 4 and -32
  List after swap: [-91, -32, 4, -67, -74, 7, 36, 63, 68]
  Compare 4 and -67
  Swap 4 and -67
  List after swap: [-91, -32, -67, 4, -74, 7, 36, 63, 68]
  Compare 4 and -74
  Swap 4 and -74
  List after swap: [-91, -32, -67, -74, 4, 7, 36, 63, 68]
  Compare 4 and 7
  No swap needed
  Compare 7 and 36
  No swap needed

Pass 4:
  Compare -91 and -32
  No swap needed
  Compare -32 and -67
  Swap -32 and -67
  List after swap: [-91, -67, -32, -74, 4, 7, 36, 63, 68]
  Compare -32 and -74
  Swap -32 and -74
  List after swap: [-91, -67, -74, -32, 4, 7, 36, 63, 68]
  Compare -32 and 4
  No swap needed
  Compare 4 and 7
  No swap needed

Pass 5:
  Compare -91 and -67
  No swap needed
  Compare -67 and -74
  Swap -67 and -74
  List after swap: [-91, -74, -67, -32, 4, 7, 36, 63, 68]
  Compare -67 and -32
  No swap needed
  Compare -32 and 4
  No swap needed

Pass 6:
  Compare -91 and -74
  No swap needed
  Compare -74 and -67
  No swap needed
  Compare -67 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -74, -67, -32, 4, 7, 36, 63, 68]
</think>

<response>-91, -74, -67, -32, 4, 7, 36, 63, 68</response>


input: Arrange the numbers -77, 90, -65, 22, -21, 14, -91 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-77, 90, -65, 22, -21, 14, -91]

Pass 1:
  Compare -77 and 90
  No swap needed
  Compare 90 and -65
  Swap 90 and -65
  List after swap: [-77, -65, 90, 22, -21, 14, -91]
  Compare 90 and 22
  Swap 90 and 22
  List after swap: [-77, -65, 22, 90, -21, 14, -91]
  Compare 90 and -21
  Swap 90 and -21
  List after swap: [-77, -65, 22, -21, 90, 14, -91]
  Compare 90 and 14
  Swap 90 and 14
  List after swap: [-77, -65, 22, -21, 14, 90, -91]
  Compare 90 and -91
  Swap 90 and -91
  List after swap: [-77, -65, 22, -21, 14, -91, 90]

Pass 2:
  Compare -77 and -65
  No swap needed
  Compare -65 and 22
  No swap needed
  Compare 22 and -21
  Swap 22 and -21
  List after swap: [-77, -65, -21, 22, 14, -91, 90]
  Compare 22 and 14
  Swap 22 and 14
  List after swap: [-77, -65, -21, 14, 22, -91, 90]
  Compare 22 and -91
  Swap 22 and -91
  List after swap: [-77, -65, -21, 14, -91, 22, 90]

Pass 3:
  Compare -77 and -65
  No swap needed
  Compare -65 and -21
  No swap needed
  Compare -21 and 14
  No swap needed
  Compare 14 and -91
  Swap 14 and -91
  List after swap: [-77, -65, -21, -91, 14, 22, 90]

Pass 4:
  Compare -77 and -65
  No swap needed
  Compare -65 and -21
  No swap needed
  Compare -21 and -91
  Swap -21 and -91
  List after swap: [-77, -65, -91, -21, 14, 22, 90]

Pass 5:
  Compare -77 and -65
  No swap needed
  Compare -65 and -91
  Swap -65 and -91
  List after swap: [-77, -91, -65, -21, 14, 22, 90]

Pass 6:
  Compare -77 and -91
  Swap -77 and -91
  List after swap: [-91, -77, -65, -21, 14, 22, 90]

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

Final sorted list: [-91, -77, -65, -21, 14, 22, 90]
</think>

<response>-91, -77, -65, -21, 14, 22, 90</response>


input: Perform a bubble sort on the integers 70, 54, 19, 29, -17, -87, -40, -18, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [70, 54, 19, 29, -17, -87, -40, -18]

Pass 1:
  Compare 70 and 54
  Swap 70 and 54
  List after swap: [54, 70, 19, 29, -17, -87, -40, -18]
  Compare 70 and 19
  Swap 70 and 19
  List after swap: [54, 19, 70, 29, -17, -87, -40, -18]
  Compare 70 and 29
  Swap 70 and 29
  List after swap: [54, 19, 29, 70, -17, -87, -40, -18]
  Compare 70 and -17
  Swap 70 and -17
  List after swap: [54, 19, 29, -17, 70, -87, -40, -18]
  Compare 70 and -87
  Swap 70 and -87
  List after swap: [54, 19, 29, -17, -87, 70, -40, -18]
  Compare 70 and -40
  Swap 70 and -40
  List after swap: [54, 19, 29, -17, -87, -40, 70, -18]
  Compare 70 and -18
  Swap 70 and -18
  List after swap: [54, 19, 29, -17, -87, -40, -18, 70]

Pass 2:
  Compare 54 and 19
  Swap 54 and 19
  List after swap: [19, 54, 29, -17, -87, -40, -18, 70]
  Compare 54 and 29
  Swap 54 and 29
  List after swap: [19, 29, 54, -17, -87, -40, -18, 70]
  Compare 54 and -17
  Swap 54 and -17
  List after swap: [19, 29, -17, 54, -87, -40, -18, 70]
  Compare 54 and -87
  Swap 54 and -87
  List after swap: [19, 29, -17, -87, 54, -40, -18, 70]
  Compare 54 and -40
  Swap 54 and -40
  List after swap: [19, 29, -17, -87, -40, 54, -18, 70]
  Compare 54 and -18
  Swap 54 and -18
  List after swap: [19, 29, -17, -87, -40, -18, 54, 70]

Pass 3:
  Compare 19 and 29
  No swap needed
  Compare 29 and -17
  Swap 29 and -17
  List after swap: [19, -17, 29, -87, -40, -18, 54, 70]
  Compare 29 and -87
  Swap 29 and -87
  List after swap: [19, -17, -87, 29, -40, -18, 54, 70]
  Compare 29 and -40
  Swap 29 and -40
  List after swap: [19, -17, -87, -40, 29, -18, 54, 70]
  Compare 29 and -18
  Swap 29 and -18
  List after swap: [19, -17, -87, -40, -18, 29, 54, 70]

Pass 4:
  Compare 19 and -17
  Swap 19 and -17
  List after swap: [-17, 19, -87, -40, -18, 29, 54, 70]
  Compare 19 and -87
  Swap 19 and -87
  List after swap: [-17, -87, 19, -40, -18, 29, 54, 70]
  Compare 19 and -40
  Swap 19 and -40
  List after swap: [-17, -87, -40, 19, -18, 29, 54, 70]
  Compare 19 and -18
  Swap 19 and -18
  List after swap: [-17, -87, -40, -18, 19, 29, 54, 70]

Pass 5:
  Compare -17 and -87
  Swap -17 and -87
  List after swap: [-87, -17, -40, -18, 19, 29, 54, 70]
  Compare -17 and -40
  Swap -17 and -40
  List after swap: [-87, -40, -17, -18, 19, 29, 54, 70]
  Compare -17 and -18
  Swap -17 and -18
  List after swap: [-87, -40, -18, -17, 19, 29, 54, 70]

Pass 6:
  Compare -87 and -40
  No swap needed
  Compare -40 and -18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -40, -18, -17, 19, 29, 54, 70]
</think>

<response>-87, -40, -18, -17, 19, 29, 54, 70</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 33, -33, 74, -74, 26, 86, -29.

output:
<think>
Initial list: [33, -33, 74, -74, 26, 86, -29]

Pass 1:
  Compare 33 and -33
  Swap 33 and -33
  List after swap: [-33, 33, 74, -74, 26, 86, -29]
  Compare 33 and 74
  No swap needed
  Compare 74 and -74
  Swap 74 and -74
  List after swap: [-33, 33, -74, 74, 26, 86, -29]
  Compare 74 and 26
  Swap 74 and 26
  List after swap: [-33, 33, -74, 26, 74, 86, -29]
  Compare 74 and 86
  No swap needed
  Compare 86 and -29
  Swap 86 and -29
  List after swap: [-33, 33, -74, 26, 74, -29, 86]

Pass 2:
  Compare -33 and 33
  No swap needed
  Compare 33 and -74
  Swap 33 and -74
  List after swap: [-33, -74, 33, 26, 74, -29, 86]
  Compare 33 and 26
  Swap 33 and 26
  List after swap: [-33, -74, 26, 33, 74, -29, 86]
  Compare 33 and 74
  No swap needed
  Compare 74 and -29
  Swap 74 and -29
  List after swap: [-33, -74, 26, 33, -29, 74, 86]

Pass 3:
  Compare -33 and -74
  Swap -33 and -74
  List after swap: [-74, -33, 26, 33, -29, 74, 86]
  Compare -33 and 26
  No swap needed
  Compare 26 and 33
  No swap needed
  Compare 33 and -29
  Swap 33 and -29
  List after swap: [-74, -33, 26, -29, 33, 74, 86]

Pass 4:
  Compare -74 and -33
  No swap needed
  Compare -33 and 26
  No swap needed
  Compare 26 and -29
  Swap 26 and -29
  List after swap: [-74, -33, -29, 26, 33, 74, 86]

Pass 5:
  Compare -74 and -33
  No swap needed
  Compare -33 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -33, -29, 26, 33, 74, 86]
</think>

<response>-74, -33, -29, 26, 33, 74, 86</response>


input: Sort the list 19, -84, -13, 62, 60 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [19, -84, -13, 62, 60]

Pass 1:
  Compare 19 and -84
  Swap 19 and -84
  List after swap: [-84, 19, -13, 62, 60]
  Compare 19 and -13
  Swap 19 and -13
  List after swap: [-84, -13, 19, 62, 60]
  Compare 19 and 62
  No swap needed
  Compare 62 and 60
  Swap 62 and 60
  List after swap: [-84, -13, 19, 60, 62]

Pass 2:
  Compare -84 and -13
  No swap needed
  Compare -13 and 19
  No swap needed
  Compare 19 and 60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -13, 19, 60, 62]
</think>

<response>-84, -13, 19, 60, 62</response>


input: Sort the list -13, -92, -58 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-13, -92, -58]

Pass 1:
  Compare -13 and -92
  Swap -13 and -92
  List after swap: [-92, -13, -58]
  Compare -13 and -58
  Swap -13 and -58
  List after swap: [-92, -58, -13]

Pass 2:
  Compare -92 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -58, -13]
</think>

<response>-92, -58, -13</response>


input: Sort the list -48, -72, -56, -96, -22, 79, 82 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-48, -72, -56, -96, -22, 79, 82]

Pass 1:
  Compare -48 and -72
  Swap -48 and -72
  List after swap: [-72, -48, -56, -96, -22, 79, 82]
  Compare -48 and -56
  Swap -48 and -56
  List after swap: [-72, -56, -48, -96, -22, 79, 82]
  Compare -48 and -96
  Swap -48 and -96
  List after swap: [-72, -56, -96, -48, -22, 79, 82]
  Compare -48 and -22
  No swap needed
  Compare -22 and 79
  No swap needed
  Compare 79 and 82
  No swap needed

Pass 2:
  Compare -72 and -56
  No swap needed
  Compare -56 and -96
  Swap -56 and -96
  List after swap: [-72, -96, -56, -48, -22, 79, 82]
  Compare -56 and -48
  No swap needed
  Compare -48 and -22
  No swap needed
  Compare -22 and 79
  No swap needed

Pass 3:
  Compare -72 and -96
  Swap -72 and -96
  List after swap: [-96, -72, -56, -48, -22, 79, 82]
  Compare -72 and -56
  No swap needed
  Compare -56 and -48
  No swap needed
  Compare -48 and -22
  No swap needed

Pass 4:
  Compare -96 and -72
  No swap needed
  Compare -72 and -56
  No swap needed
  Compare -56 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -72, -56, -48, -22, 79, 82]
</think>

<response>-96, -72, -56, -48, -22, 79, 82</response>


input: Carry out the bubble sort algorithm on -96, 11, -74, -87, 30, -98, -6 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-96, 11, -74, -87, 30, -98, -6]

Pass 1:
  Compare -96 and 11
  No swap needed
  Compare 11 and -74
  Swap 11 and -74
  List after swap: [-96, -74, 11, -87, 30, -98, -6]
  Compare 11 and -87
  Swap 11 and -87
  List after swap: [-96, -74, -87, 11, 30, -98, -6]
  Compare 11 and 30
  No swap needed
  Compare 30 and -98
  Swap 30 and -98
  List after swap: [-96, -74, -87, 11, -98, 30, -6]
  Compare 30 and -6
  Swap 30 and -6
  List after swap: [-96, -74, -87, 11, -98, -6, 30]

Pass 2:
  Compare -96 and -74
  No swap needed
  Compare -74 and -87
  Swap -74 and -87
  List after swap: [-96, -87, -74, 11, -98, -6, 30]
  Compare -74 and 11
  No swap needed
  Compare 11 and -98
  Swap 11 and -98
  List after swap: [-96, -87, -74, -98, 11, -6, 30]
  Compare 11 and -6
  Swap 11 and -6
  List after swap: [-96, -87, -74, -98, -6, 11, 30]

Pass 3:
  Compare -96 and -87
  No swap needed
  Compare -87 and -74
  No swap needed
  Compare -74 and -98
  Swap -74 and -98
  List after swap: [-96, -87, -98, -74, -6, 11, 30]
  Compare -74 and -6
  No swap needed

Pass 4:
  Compare -96 and -87
  No swap needed
  Compare -87 and -98
  Swap -87 and -98
  List after swap: [-96, -98, -87, -74, -6, 11, 30]
  Compare -87 and -74
  No swap needed

Pass 5:
  Compare -96 and -98
  Swap -96 and -98
  List after swap: [-98, -96, -87, -74, -6, 11, 30]
  Compare -96 and -87
  No swap needed

Pass 6:
  Compare -98 and -96
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -96, -87, -74, -6, 11, 30]
</think>

<response>-98, -96, -87, -74, -6, 11, 30</response>


input: Use the bubble sort technique to reorder 0, -1, -43, -11, 46, -72, 37, -33, 72, -74 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [0, -1, -43, -11, 46, -72, 37, -33, 72, -74]

Pass 1:
  Compare 0 and -1
  Swap 0 and -1
  List after swap: [-1, 0, -43, -11, 46, -72, 37, -33, 72, -74]
  Compare 0 and -43
  Swap 0 and -43
  List after swap: [-1, -43, 0, -11, 46, -72, 37, -33, 72, -74]
  Compare 0 and -11
  Swap 0 and -11
  List after swap: [-1, -43, -11, 0, 46, -72, 37, -33, 72, -74]
  Compare 0 and 46
  No swap needed
  Compare 46 and -72
  Swap 46 and -72
  List after swap: [-1, -43, -11, 0, -72, 46, 37, -33, 72, -74]
  Compare 46 and 37
  Swap 46 and 37
  List after swap: [-1, -43, -11, 0, -72, 37, 46, -33, 72, -74]
  Compare 46 and -33
  Swap 46 and -33
  List after swap: [-1, -43, -11, 0, -72, 37, -33, 46, 72, -74]
  Compare 46 and 72
  No swap needed
  Compare 72 and -74
  Swap 72 and -74
  List after swap: [-1, -43, -11, 0, -72, 37, -33, 46, -74, 72]

Pass 2:
  Compare -1 and -43
  Swap -1 and -43
  List after swap: [-43, -1, -11, 0, -72, 37, -33, 46, -74, 72]
  Compare -1 and -11
  Swap -1 and -11
  List after swap: [-43, -11, -1, 0, -72, 37, -33, 46, -74, 72]
  Compare -1 and 0
  No swap needed
  Compare 0 and -72
  Swap 0 and -72
  List after swap: [-43, -11, -1, -72, 0, 37, -33, 46, -74, 72]
  Compare 0 and 37
  No swap needed
  Compare 37 and -33
  Swap 37 and -33
  List after swap: [-43, -11, -1, -72, 0, -33, 37, 46, -74, 72]
  Compare 37 and 46
  No swap needed
  Compare 46 and -74
  Swap 46 and -74
  List after swap: [-43, -11, -1, -72, 0, -33, 37, -74, 46, 72]

Pass 3:
  Compare -43 and -11
  No swap needed
  Compare -11 and -1
  No swap needed
  Compare -1 and -72
  Swap -1 and -72
  List after swap: [-43, -11, -72, -1, 0, -33, 37, -74, 46, 72]
  Compare -1 and 0
  No swap needed
  Compare 0 and -33
  Swap 0 and -33
  List after swap: [-43, -11, -72, -1, -33, 0, 37, -74, 46, 72]
  Compare 0 and 37
  No swap needed
  Compare 37 and -74
  Swap 37 and -74
  List after swap: [-43, -11, -72, -1, -33, 0, -74, 37, 46, 72]

Pass 4:
  Compare -43 and -11
  No swap needed
  Compare -11 and -72
  Swap -11 and -72
  List after swap: [-43, -72, -11, -1, -33, 0, -74, 37, 46, 72]
  Compare -11 and -1
  No swap needed
  Compare -1 and -33
  Swap -1 and -33
  List after swap: [-43, -72, -11, -33, -1, 0, -74, 37, 46, 72]
  Compare -1 and 0
  No swap needed
  Compare 0 and -74
  Swap 0 and -74
  List after swap: [-43, -72, -11, -33, -1, -74, 0, 37, 46, 72]

Pass 5:
  Compare -43 and -72
  Swap -43 and -72
  List after swap: [-72, -43, -11, -33, -1, -74, 0, 37, 46, 72]
  Compare -43 and -11
  No swap needed
  Compare -11 and -33
  Swap -11 and -33
  List after swap: [-72, -43, -33, -11, -1, -74, 0, 37, 46, 72]
  Compare -11 and -1
  No swap needed
  Compare -1 and -74
  Swap -1 and -74
  List after swap: [-72, -43, -33, -11, -74, -1, 0, 37, 46, 72]

Pass 6:
  Compare -72 and -43
  No swap needed
  Compare -43 and -33
  No swap needed
  Compare -33 and -11
  No swap needed
  Compare -11 and -74
  Swap -11 and -74
  List after swap: [-72, -43, -33, -74, -11, -1, 0, 37, 46, 72]

Pass 7:
  Compare -72 and -43
  No swap needed
  Compare -43 and -33
  No swap needed
  Compare -33 and -74
  Swap -33 and -74
  List after swap: [-72, -43, -74, -33, -11, -1, 0, 37, 46, 72]

Pass 8:
  Compare -72 and -43
  No swap needed
  Compare -43 and -74
  Swap -43 and -74
  List after swap: [-72, -74, -43, -33, -11, -1, 0, 37, 46, 72]

Pass 9:
  Compare -72 and -74
  Swap -72 and -74
  List after swap: [-74, -72, -43, -33, -11, -1, 0, 37, 46, 72]

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

Final sorted list: [-74, -72, -43, -33, -11, -1, 0, 37, 46, 72]
</think>

<response>-74, -72, -43, -33, -11, -1, 0, 37, 46, 72</response>


input: Sort the list 32, -52, 52, 9, 18, -30, -60, -58 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [32, -52, 52, 9, 18, -30, -60, -58]

Pass 1:
  Compare 32 and -52
  Swap 32 and -52
  List after swap: [-52, 32, 52, 9, 18, -30, -60, -58]
  Compare 32 and 52
  No swap needed
  Compare 52 and 9
  Swap 52 and 9
  List after swap: [-52, 32, 9, 52, 18, -30, -60, -58]
  Compare 52 and 18
  Swap 52 and 18
  List after swap: [-52, 32, 9, 18, 52, -30, -60, -58]
  Compare 52 and -30
  Swap 52 and -30
  List after swap: [-52, 32, 9, 18, -30, 52, -60, -58]
  Compare 52 and -60
  Swap 52 and -60
  List after swap: [-52, 32, 9, 18, -30, -60, 52, -58]
  Compare 52 and -58
  Swap 52 and -58
  List after swap: [-52, 32, 9, 18, -30, -60, -58, 52]

Pass 2:
  Compare -52 and 32
  No swap needed
  Compare 32 and 9
  Swap 32 and 9
  List after swap: [-52, 9, 32, 18, -30, -60, -58, 52]
  Compare 32 and 18
  Swap 32 and 18
  List after swap: [-52, 9, 18, 32, -30, -60, -58, 52]
  Compare 32 and -30
  Swap 32 and -30
  List after swap: [-52, 9, 18, -30, 32, -60, -58, 52]
  Compare 32 and -60
  Swap 32 and -60
  List after swap: [-52, 9, 18, -30, -60, 32, -58, 52]
  Compare 32 and -58
  Swap 32 and -58
  List after swap: [-52, 9, 18, -30, -60, -58, 32, 52]

Pass 3:
  Compare -52 and 9
  No swap needed
  Compare 9 and 18
  No swap needed
  Compare 18 and -30
  Swap 18 and -30
  List after swap: [-52, 9, -30, 18, -60, -58, 32, 52]
  Compare 18 and -60
  Swap 18 and -60
  List after swap: [-52, 9, -30, -60, 18, -58, 32, 52]
  Compare 18 and -58
  Swap 18 and -58
  List after swap: [-52, 9, -30, -60, -58, 18, 32, 52]

Pass 4:
  Compare -52 and 9
  No swap needed
  Compare 9 and -30
  Swap 9 and -30
  List after swap: [-52, -30, 9, -60, -58, 18, 32, 52]
  Compare 9 and -60
  Swap 9 and -60
  List after swap: [-52, -30, -60, 9, -58, 18, 32, 52]
  Compare 9 and -58
  Swap 9 and -58
  List after swap: [-52, -30, -60, -58, 9, 18, 32, 52]

Pass 5:
  Compare -52 and -30
  No swap needed
  Compare -30 and -60
  Swap -30 and -60
  List after swap: [-52, -60, -30, -58, 9, 18, 32, 52]
  Compare -30 and -58
  Swap -30 and -58
  List after swap: [-52, -60, -58, -30, 9, 18, 32, 52]

Pass 6:
  Compare -52 and -60
  Swap -52 and -60
  List after swap: [-60, -52, -58, -30, 9, 18, 32, 52]
  Compare -52 and -58
  Swap -52 and -58
  List after swap: [-60, -58, -52, -30, 9, 18, 32, 52]

Pass 7:
  Compare -60 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -58, -52, -30, 9, 18, 32, 52]
</think>

<response>-60, -58, -52, -30, 9, 18, 32, 52</response>


input: Arrange the numbers 60, -73, 72, 80, 81, 91 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [60, -73, 72, 80, 81, 91]

Pass 1:
  Compare 60 and -73
  Swap 60 and -73
  List after swap: [-73, 60, 72, 80, 81, 91]
  Compare 60 and 72
  No swap needed
  Compare 72 and 80
  No swap needed
  Compare 80 and 81
  No swap needed
  Compare 81 and 91
  No swap needed

Pass 2:
  Compare -73 and 60
  No swap needed
  Compare 60 and 72
  No swap needed
  Compare 72 and 80
  No swap needed
  Compare 80 and 81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, 60, 72, 80, 81, 91]
</think>

<response>-73, 60, 72, 80, 81, 91</response>


input: Using the bubble sort method, sort 62, -2, -20, 41, -85, -40 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [62, -2, -20, 41, -85, -40]

Pass 1:
  Compare 62 and -2
  Swap 62 and -2
  List after swap: [-2, 62, -20, 41, -85, -40]
  Compare 62 and -20
  Swap 62 and -20
  List after swap: [-2, -20, 62, 41, -85, -40]
  Compare 62 and 41
  Swap 62 and 41
  List after swap: [-2, -20, 41, 62, -85, -40]
  Compare 62 and -85
  Swap 62 and -85
  List after swap: [-2, -20, 41, -85, 62, -40]
  Compare 62 and -40
  Swap 62 and -40
  List after swap: [-2, -20, 41, -85, -40, 62]

Pass 2:
  Compare -2 and -20
  Swap -2 and -20
  List after swap: [-20, -2, 41, -85, -40, 62]
  Compare -2 and 41
  No swap needed
  Compare 41 and -85
  Swap 41 and -85
  List after swap: [-20, -2, -85, 41, -40, 62]
  Compare 41 and -40
  Swap 41 and -40
  List after swap: [-20, -2, -85, -40, 41, 62]

Pass 3:
  Compare -20 and -2
  No swap needed
  Compare -2 and -85
  Swap -2 and -85
  List after swap: [-20, -85, -2, -40, 41, 62]
  Compare -2 and -40
  Swap -2 and -40
  List after swap: [-20, -85, -40, -2, 41, 62]

Pass 4:
  Compare -20 and -85
  Swap -20 and -85
  List after swap: [-85, -20, -40, -2, 41, 62]
  Compare -20 and -40
  Swap -20 and -40
  List after swap: [-85, -40, -20, -2, 41, 62]

Pass 5:
  Compare -85 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -40, -20, -2, 41, 62]
</think>

<response>-85, -40, -20, -2, 41, 62</response>


input: Execute bubble sort to sort -35, -68, 45, -52 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-35, -68, 45, -52]

Pass 1:
  Compare -35 and -68
  Swap -35 and -68
  List after swap: [-68, -35, 45, -52]
  Compare -35 and 45
  No swap needed
  Compare 45 and -52
  Swap 45 and -52
  List after swap: [-68, -35, -52, 45]

Pass 2:
  Compare -68 and -35
  No swap needed
  Compare -35 and -52
  Swap -35 and -52
  List after swap: [-68, -52, -35, 45]

Pass 3:
  Compare -68 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -52, -35, 45]
</think>

<response>-68, -52, -35, 45</response>


input: Sort these integers -39, 14, -49, 53, -11 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-39, 14, -49, 53, -11]

Pass 1:
  Compare -39 and 14
  No swap needed
  Compare 14 and -49
  Swap 14 and -49
  List after swap: [-39, -49, 14, 53, -11]
  Compare 14 and 53
  No swap needed
  Compare 53 and -11
  Swap 53 and -11
  List after swap: [-39, -49, 14, -11, 53]

Pass 2:
  Compare -39 and -49
  Swap -39 and -49
  List after swap: [-49, -39, 14, -11, 53]
  Compare -39 and 14
  No swap needed
  Compare 14 and -11
  Swap 14 and -11
  List after swap: [-49, -39, -11, 14, 53]

Pass 3:
  Compare -49 and -39
  No swap needed
  Compare -39 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-49, -39, -11, 14, 53]
</think>

<response>-49, -39, -11, 14, 53</response>


input: Implement bubble sort on 15, 82, -20, 54, -72 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [15, 82, -20, 54, -72]

Pass 1:
  Compare 15 and 82
  No swap needed
  Compare 82 and -20
  Swap 82 and -20
  List after swap: [15, -20, 82, 54, -72]
  Compare 82 and 54
  Swap 82 and 54
  List after swap: [15, -20, 54, 82, -72]
  Compare 82 and -72
  Swap 82 and -72
  List after swap: [15, -20, 54, -72, 82]

Pass 2:
  Compare 15 and -20
  Swap 15 and -20
  List after swap: [-20, 15, 54, -72, 82]
  Compare 15 and 54
  No swap needed
  Compare 54 and -72
  Swap 54 and -72
  List after swap: [-20, 15, -72, 54, 82]

Pass 3:
  Compare -20 and 15
  No swap needed
  Compare 15 and -72
  Swap 15 and -72
  List after swap: [-20, -72, 15, 54, 82]

Pass 4:
  Compare -20 and -72
  Swap -20 and -72
  List after swap: [-72, -20, 15, 54, 82]

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

Final sorted list: [-72, -20, 15, 54, 82]
</think>

<response>-72, -20, 15, 54, 82</response>


input: Using the bubble sort method, sort 88, -73, 55, -3, -99, 16, 59, -82, 74, -77 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [88, -73, 55, -3, -99, 16, 59, -82, 74, -77]

Pass 1:
  Compare 88 and -73
  Swap 88 and -73
  List after swap: [-73, 88, 55, -3, -99, 16, 59, -82, 74, -77]
  Compare 88 and 55
  Swap 88 and 55
  List after swap: [-73, 55, 88, -3, -99, 16, 59, -82, 74, -77]
  Compare 88 and -3
  Swap 88 and -3
  List after swap: [-73, 55, -3, 88, -99, 16, 59, -82, 74, -77]
  Compare 88 and -99
  Swap 88 and -99
  List after swap: [-73, 55, -3, -99, 88, 16, 59, -82, 74, -77]
  Compare 88 and 16
  Swap 88 and 16
  List after swap: [-73, 55, -3, -99, 16, 88, 59, -82, 74, -77]
  Compare 88 and 59
  Swap 88 and 59
  List after swap: [-73, 55, -3, -99, 16, 59, 88, -82, 74, -77]
  Compare 88 and -82
  Swap 88 and -82
  List after swap: [-73, 55, -3, -99, 16, 59, -82, 88, 74, -77]
  Compare 88 and 74
  Swap 88 and 74
  List after swap: [-73, 55, -3, -99, 16, 59, -82, 74, 88, -77]
  Compare 88 and -77
  Swap 88 and -77
  List after swap: [-73, 55, -3, -99, 16, 59, -82, 74, -77, 88]

Pass 2:
  Compare -73 and 55
  No swap needed
  Compare 55 and -3
  Swap 55 and -3
  List after swap: [-73, -3, 55, -99, 16, 59, -82, 74, -77, 88]
  Compare 55 and -99
  Swap 55 and -99
  List after swap: [-73, -3, -99, 55, 16, 59, -82, 74, -77, 88]
  Compare 55 and 16
  Swap 55 and 16
  List after swap: [-73, -3, -99, 16, 55, 59, -82, 74, -77, 88]
  Compare 55 and 59
  No swap needed
  Compare 59 and -82
  Swap 59 and -82
  List after swap: [-73, -3, -99, 16, 55, -82, 59, 74, -77, 88]
  Compare 59 and 74
  No swap needed
  Compare 74 and -77
  Swap 74 and -77
  List after swap: [-73, -3, -99, 16, 55, -82, 59, -77, 74, 88]

Pass 3:
  Compare -73 and -3
  No swap needed
  Compare -3 and -99
  Swap -3 and -99
  List after swap: [-73, -99, -3, 16, 55, -82, 59, -77, 74, 88]
  Compare -3 and 16
  No swap needed
  Compare 16 and 55
  No swap needed
  Compare 55 and -82
  Swap 55 and -82
  List after swap: [-73, -99, -3, 16, -82, 55, 59, -77, 74, 88]
  Compare 55 and 59
  No swap needed
  Compare 59 and -77
  Swap 59 and -77
  List after swap: [-73, -99, -3, 16, -82, 55, -77, 59, 74, 88]

Pass 4:
  Compare -73 and -99
  Swap -73 and -99
  List after swap: [-99, -73, -3, 16, -82, 55, -77, 59, 74, 88]
  Compare -73 and -3
  No swap needed
  Compare -3 and 16
  No swap needed
  Compare 16 and -82
  Swap 16 and -82
  List after swap: [-99, -73, -3, -82, 16, 55, -77, 59, 74, 88]
  Compare 16 and 55
  No swap needed
  Compare 55 and -77
  Swap 55 and -77
  List after swap: [-99, -73, -3, -82, 16, -77, 55, 59, 74, 88]

Pass 5:
  Compare -99 and -73
  No swap needed
  Compare -73 and -3
  No swap needed
  Compare -3 and -82
  Swap -3 and -82
  List after swap: [-99, -73, -82, -3, 16, -77, 55, 59, 74, 88]
  Compare -3 and 16
  No swap needed
  Compare 16 and -77
  Swap 16 and -77
  List after swap: [-99, -73, -82, -3, -77, 16, 55, 59, 74, 88]

Pass 6:
  Compare -99 and -73
  No swap needed
  Compare -73 and -82
  Swap -73 and -82
  List after swap: [-99, -82, -73, -3, -77, 16, 55, 59, 74, 88]
  Compare -73 and -3
  No swap needed
  Compare -3 and -77
  Swap -3 and -77
  List after swap: [-99, -82, -73, -77, -3, 16, 55, 59, 74, 88]

Pass 7:
  Compare -99 and -82
  No swap needed
  Compare -82 and -73
  No swap needed
  Compare -73 and -77
  Swap -73 and -77
  List after swap: [-99, -82, -77, -73, -3, 16, 55, 59, 74, 88]

Pass 8:
  Compare -99 and -82
  No swap needed
  Compare -82 and -77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -82, -77, -73, -3, 16, 55, 59, 74, 88]
</think>

<response>-99, -82, -77, -73, -3, 16, 55, 59, 74, 88</response>


input: Use the bubble sort technique to reorder -12, -95, 17 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-12, -95, 17]

Pass 1:
  Compare -12 and -95
  Swap -12 and -95
  List after swap: [-95, -12, 17]
  Compare -12 and 17
  No swap needed

Pass 2:
  Compare -95 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -12, 17]
</think>

<response>-95, -12, 17</response>


input: Arrange the numbers 17, -78, 79, 28, 74, 84, 72, -98, -75 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [17, -78, 79, 28, 74, 84, 72, -98, -75]

Pass 1:
  Compare 17 and -78
  Swap 17 and -78
  List after swap: [-78, 17, 79, 28, 74, 84, 72, -98, -75]
  Compare 17 and 79
  No swap needed
  Compare 79 and 28
  Swap 79 and 28
  List after swap: [-78, 17, 28, 79, 74, 84, 72, -98, -75]
  Compare 79 and 74
  Swap 79 and 74
  List after swap: [-78, 17, 28, 74, 79, 84, 72, -98, -75]
  Compare 79 and 84
  No swap needed
  Compare 84 and 72
  Swap 84 and 72
  List after swap: [-78, 17, 28, 74, 79, 72, 84, -98, -75]
  Compare 84 and -98
  Swap 84 and -98
  List after swap: [-78, 17, 28, 74, 79, 72, -98, 84, -75]
  Compare 84 and -75
  Swap 84 and -75
  List after swap: [-78, 17, 28, 74, 79, 72, -98, -75, 84]

Pass 2:
  Compare -78 and 17
  No swap needed
  Compare 17 and 28
  No swap needed
  Compare 28 and 74
  No swap needed
  Compare 74 and 79
  No swap needed
  Compare 79 and 72
  Swap 79 and 72
  List after swap: [-78, 17, 28, 74, 72, 79, -98, -75, 84]
  Compare 79 and -98
  Swap 79 and -98
  List after swap: [-78, 17, 28, 74, 72, -98, 79, -75, 84]
  Compare 79 and -75
  Swap 79 and -75
  List after swap: [-78, 17, 28, 74, 72, -98, -75, 79, 84]

Pass 3:
  Compare -78 and 17
  No swap needed
  Compare 17 and 28
  No swap needed
  Compare 28 and 74
  No swap needed
  Compare 74 and 72
  Swap 74 and 72
  List after swap: [-78, 17, 28, 72, 74, -98, -75, 79, 84]
  Compare 74 and -98
  Swap 74 and -98
  List after swap: [-78, 17, 28, 72, -98, 74, -75, 79, 84]
  Compare 74 and -75
  Swap 74 and -75
  List after swap: [-78, 17, 28, 72, -98, -75, 74, 79, 84]

Pass 4:
  Compare -78 and 17
  No swap needed
  Compare 17 and 28
  No swap needed
  Compare 28 and 72
  No swap needed
  Compare 72 and -98
  Swap 72 and -98
  List after swap: [-78, 17, 28, -98, 72, -75, 74, 79, 84]
  Compare 72 and -75
  Swap 72 and -75
  List after swap: [-78, 17, 28, -98, -75, 72, 74, 79, 84]

Pass 5:
  Compare -78 and 17
  No swap needed
  Compare 17 and 28
  No swap needed
  Compare 28 and -98
  Swap 28 and -98
  List after swap: [-78, 17, -98, 28, -75, 72, 74, 79, 84]
  Compare 28 and -75
  Swap 28 and -75
  List after swap: [-78, 17, -98, -75, 28, 72, 74, 79, 84]

Pass 6:
  Compare -78 and 17
  No swap needed
  Compare 17 and -98
  Swap 17 and -98
  List after swap: [-78, -98, 17, -75, 28, 72, 74, 79, 84]
  Compare 17 and -75
  Swap 17 and -75
  List after swap: [-78, -98, -75, 17, 28, 72, 74, 79, 84]

Pass 7:
  Compare -78 and -98
  Swap -78 and -98
  List after swap: [-98, -78, -75, 17, 28, 72, 74, 79, 84]
  Compare -78 and -75
  No swap needed

Pass 8:
  Compare -98 and -78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -78, -75, 17, 28, 72, 74, 79, 84]
</think>

<response>-98, -78, -75, 17, 28, 72, 74, 79, 84</response>


input: Arrange the numbers 83, 67, 77, -75, -87, -33, 9, -92, 14 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [83, 67, 77, -75, -87, -33, 9, -92, 14]

Pass 1:
  Compare 83 and 67
  Swap 83 and 67
  List after swap: [67, 83, 77, -75, -87, -33, 9, -92, 14]
  Compare 83 and 77
  Swap 83 and 77
  List after swap: [67, 77, 83, -75, -87, -33, 9, -92, 14]
  Compare 83 and -75
  Swap 83 and -75
  List after swap: [67, 77, -75, 83, -87, -33, 9, -92, 14]
  Compare 83 and -87
  Swap 83 and -87
  List after swap: [67, 77, -75, -87, 83, -33, 9, -92, 14]
  Compare 83 and -33
  Swap 83 and -33
  List after swap: [67, 77, -75, -87, -33, 83, 9, -92, 14]
  Compare 83 and 9
  Swap 83 and 9
  List after swap: [67, 77, -75, -87, -33, 9, 83, -92, 14]
  Compare 83 and -92
  Swap 83 and -92
  List after swap: [67, 77, -75, -87, -33, 9, -92, 83, 14]
  Compare 83 and 14
  Swap 83 and 14
  List after swap: [67, 77, -75, -87, -33, 9, -92, 14, 83]

Pass 2:
  Compare 67 and 77
  No swap needed
  Compare 77 and -75
  Swap 77 and -75
  List after swap: [67, -75, 77, -87, -33, 9, -92, 14, 83]
  Compare 77 and -87
  Swap 77 and -87
  List after swap: [67, -75, -87, 77, -33, 9, -92, 14, 83]
  Compare 77 and -33
  Swap 77 and -33
  List after swap: [67, -75, -87, -33, 77, 9, -92, 14, 83]
  Compare 77 and 9
  Swap 77 and 9
  List after swap: [67, -75, -87, -33, 9, 77, -92, 14, 83]
  Compare 77 and -92
  Swap 77 and -92
  List after swap: [67, -75, -87, -33, 9, -92, 77, 14, 83]
  Compare 77 and 14
  Swap 77 and 14
  List after swap: [67, -75, -87, -33, 9, -92, 14, 77, 83]

Pass 3:
  Compare 67 and -75
  Swap 67 and -75
  List after swap: [-75, 67, -87, -33, 9, -92, 14, 77, 83]
  Compare 67 and -87
  Swap 67 and -87
  List after swap: [-75, -87, 67, -33, 9, -92, 14, 77, 83]
  Compare 67 and -33
  Swap 67 and -33
  List after swap: [-75, -87, -33, 67, 9, -92, 14, 77, 83]
  Compare 67 and 9
  Swap 67 and 9
  List after swap: [-75, -87, -33, 9, 67, -92, 14, 77, 83]
  Compare 67 and -92
  Swap 67 and -92
  List after swap: [-75, -87, -33, 9, -92, 67, 14, 77, 83]
  Compare 67 and 14
  Swap 67 and 14
  List after swap: [-75, -87, -33, 9, -92, 14, 67, 77, 83]

Pass 4:
  Compare -75 and -87
  Swap -75 and -87
  List after swap: [-87, -75, -33, 9, -92, 14, 67, 77, 83]
  Compare -75 and -33
  No swap needed
  Compare -33 and 9
  No swap needed
  Compare 9 and -92
  Swap 9 and -92
  List after swap: [-87, -75, -33, -92, 9, 14, 67, 77, 83]
  Compare 9 and 14
  No swap needed

Pass 5:
  Compare -87 and -75
  No swap needed
  Compare -75 and -33
  No swap needed
  Compare -33 and -92
  Swap -33 and -92
  List after swap: [-87, -75, -92, -33, 9, 14, 67, 77, 83]
  Compare -33 and 9
  No swap needed

Pass 6:
  Compare -87 and -75
  No swap needed
  Compare -75 and -92
  Swap -75 and -92
  List after swap: [-87, -92, -75, -33, 9, 14, 67, 77, 83]
  Compare -75 and -33
  No swap needed

Pass 7:
  Compare -87 and -92
  Swap -87 and -92
  List after swap: [-92, -87, -75, -33, 9, 14, 67, 77, 83]
  Compare -87 and -75
  No swap needed

Pass 8:
  Compare -92 and -87
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -87, -75, -33, 9, 14, 67, 77, 83]
</think>

<response>-92, -87, -75, -33, 9, 14, 67, 77, 83</response>


input: Arrange the numbers -97, -67, -71, -13, -36, -64 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-97, -67, -71, -13, -36, -64]

Pass 1:
  Compare -97 and -67
  No swap needed
  Compare -67 and -71
  Swap -67 and -71
  List after swap: [-97, -71, -67, -13, -36, -64]
  Compare -67 and -13
  No swap needed
  Compare -13 and -36
  Swap -13 and -36
  List after swap: [-97, -71, -67, -36, -13, -64]
  Compare -13 and -64
  Swap -13 and -64
  List after swap: [-97, -71, -67, -36, -64, -13]

Pass 2:
  Compare -97 and -71
  No swap needed
  Compare -71 and -67
  No swap needed
  Compare -67 and -36
  No swap needed
  Compare -36 and -64
  Swap -36 and -64
  List after swap: [-97, -71, -67, -64, -36, -13]

Pass 3:
  Compare -97 and -71
  No swap needed
  Compare -71 and -67
  No swap needed
  Compare -67 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -71, -67, -64, -36, -13]
</think>

<response>-97, -71, -67, -64, -36, -13</response>


input: Sort the list -67, 17, -33, -5 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-67, 17, -33, -5]

Pass 1:
  Compare -67 and 17
  No swap needed
  Compare 17 and -33
  Swap 17 and -33
  List after swap: [-67, -33, 17, -5]
  Compare 17 and -5
  Swap 17 and -5
  List after swap: [-67, -33, -5, 17]

Pass 2:
  Compare -67 and -33
  No swap needed
  Compare -33 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -33, -5, 17]
</think>

<response>-67, -33, -5, 17</response>


input: Using the bubble sort method, sort 72, 91, 30, 76, -91, -29, 84 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [72, 91, 30, 76, -91, -29, 84]

Pass 1:
  Compare 72 and 91
  No swap needed
  Compare 91 and 30
  Swap 91 and 30
  List after swap: [72, 30, 91, 76, -91, -29, 84]
  Compare 91 and 76
  Swap 91 and 76
  List after swap: [72, 30, 76, 91, -91, -29, 84]
  Compare 91 and -91
  Swap 91 and -91
  List after swap: [72, 30, 76, -91, 91, -29, 84]
  Compare 91 and -29
  Swap 91 and -29
  List after swap: [72, 30, 76, -91, -29, 91, 84]
  Compare 91 and 84
  Swap 91 and 84
  List after swap: [72, 30, 76, -91, -29, 84, 91]

Pass 2:
  Compare 72 and 30
  Swap 72 and 30
  List after swap: [30, 72, 76, -91, -29, 84, 91]
  Compare 72 and 76
  No swap needed
  Compare 76 and -91
  Swap 76 and -91
  List after swap: [30, 72, -91, 76, -29, 84, 91]
  Compare 76 and -29
  Swap 76 and -29
  List after swap: [30, 72, -91, -29, 76, 84, 91]
  Compare 76 and 84
  No swap needed

Pass 3:
  Compare 30 and 72
  No swap needed
  Compare 72 and -91
  Swap 72 and -91
  List after swap: [30, -91, 72, -29, 76, 84, 91]
  Compare 72 and -29
  Swap 72 and -29
  List after swap: [30, -91, -29, 72, 76, 84, 91]
  Compare 72 and 76
  No swap needed

Pass 4:
  Compare 30 and -91
  Swap 30 and -91
  List after swap: [-91, 30, -29, 72, 76, 84, 91]
  Compare 30 and -29
  Swap 30 and -29
  List after swap: [-91, -29, 30, 72, 76, 84, 91]
  Compare 30 and 72
  No swap needed

Pass 5:
  Compare -91 and -29
  No swap needed
  Compare -29 and 30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -29, 30, 72, 76, 84, 91]
</think>

<response>-91, -29, 30, 72, 76, 84, 91</response>


input: Execute bubble sort to sort -94, 13, 67, 24, 27, -65 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-94, 13, 67, 24, 27, -65]

Pass 1:
  Compare -94 and 13
  No swap needed
  Compare 13 and 67
  No swap needed
  Compare 67 and 24
  Swap 67 and 24
  List after swap: [-94, 13, 24, 67, 27, -65]
  Compare 67 and 27
  Swap 67 and 27
  List after swap: [-94, 13, 24, 27, 67, -65]
  Compare 67 and -65
  Swap 67 and -65
  List after swap: [-94, 13, 24, 27, -65, 67]

Pass 2:
  Compare -94 and 13
  No swap needed
  Compare 13 and 24
  No swap needed
  Compare 24 and 27
  No swap needed
  Compare 27 and -65
  Swap 27 and -65
  List after swap: [-94, 13, 24, -65, 27, 67]

Pass 3:
  Compare -94 and 13
  No swap needed
  Compare 13 and 24
  No swap needed
  Compare 24 and -65
  Swap 24 and -65
  List after swap: [-94, 13, -65, 24, 27, 67]

Pass 4:
  Compare -94 and 13
  No swap needed
  Compare 13 and -65
  Swap 13 and -65
  List after swap: [-94, -65, 13, 24, 27, 67]

Pass 5:
  Compare -94 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -65, 13, 24, 27, 67]
</think>

<response>-94, -65, 13, 24, 27, 67</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 71, -72, -29, -26.

output:
<think>
Initial list: [71, -72, -29, -26]

Pass 1:
  Compare 71 and -72
  Swap 71 and -72
  List after swap: [-72, 71, -29, -26]
  Compare 71 and -29
  Swap 71 and -29
  List after swap: [-72, -29, 71, -26]
  Compare 71 and -26
  Swap 71 and -26
  List after swap: [-72, -29, -26, 71]

Pass 2:
  Compare -72 and -29
  No swap needed
  Compare -29 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -29, -26, 71]
</think>

<response>-72, -29, -26, 71</response>


input: Demonstrate how bubble sort orders the integers 27, -55, -69, -92 in ascending sequence, showing all steps.

output:
<think>
Initial list: [27, -55, -69, -92]

Pass 1:
  Compare 27 and -55
  Swap 27 and -55
  List after swap: [-55, 27, -69, -92]
  Compare 27 and -69
  Swap 27 and -69
  List after swap: [-55, -69, 27, -92]
  Compare 27 and -92
  Swap 27 and -92
  List after swap: [-55, -69, -92, 27]

Pass 2:
  Compare -55 and -69
  Swap -55 and -69
  List after swap: [-69, -55, -92, 27]
  Compare -55 and -92
  Swap -55 and -92
  List after swap: [-69, -92, -55, 27]

Pass 3:
  Compare -69 and -92
  Swap -69 and -92
  List after swap: [-92, -69, -55, 27]

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

Final sorted list: [-92, -69, -55, 27]
</think>

<response>-92, -69, -55, 27</response>


input: Perform a bubble sort on the integers -13, 78, 0, 70, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-13, 78, 0, 70]

Pass 1:
  Compare -13 and 78
  No swap needed
  Compare 78 and 0
  Swap 78 and 0
  List after swap: [-13, 0, 78, 70]
  Compare 78 and 70
  Swap 78 and 70
  List after swap: [-13, 0, 70, 78]

Pass 2:
  Compare -13 and 0
  No swap needed
  Compare 0 and 70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-13, 0, 70, 78]
</think>

<response>-13, 0, 70, 78</response>


input: Implement bubble sort on -43, -23, -73, 53 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-43, -23, -73, 53]

Pass 1:
  Compare -43 and -23
  No swap needed
  Compare -23 and -73
  Swap -23 and -73
  List after swap: [-43, -73, -23, 53]
  Compare -23 and 53
  No swap needed

Pass 2:
  Compare -43 and -73
  Swap -43 and -73
  List after swap: [-73, -43, -23, 53]
  Compare -43 and -23
  No swap needed

Pass 3:
  Compare -73 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -43, -23, 53]
</think>

<response>-73, -43, -23, 53</response>


input: Use the bubble sort technique to reorder -77, -69, -34, 24, 75, -60 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-77, -69, -34, 24, 75, -60]

Pass 1:
  Compare -77 and -69
  No swap needed
  Compare -69 and -34
  No swap needed
  Compare -34 and 24
  No swap needed
  Compare 24 and 75
  No swap needed
  Compare 75 and -60
  Swap 75 and -60
  List after swap: [-77, -69, -34, 24, -60, 75]

Pass 2:
  Compare -77 and -69
  No swap needed
  Compare -69 and -34
  No swap needed
  Compare -34 and 24
  No swap needed
  Compare 24 and -60
  Swap 24 and -60
  List after swap: [-77, -69, -34, -60, 24, 75]

Pass 3:
  Compare -77 and -69
  No swap needed
  Compare -69 and -34
  No swap needed
  Compare -34 and -60
  Swap -34 and -60
  List after swap: [-77, -69, -60, -34, 24, 75]

Pass 4:
  Compare -77 and -69
  No swap needed
  Compare -69 and -60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -69, -60, -34, 24, 75]
</think>

<response>-77, -69, -60, -34, 24, 75</response>


input: Implement bubble sort on 73, 69, -90, -83, -98, -60, 74, -24, 16 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [73, 69, -90, -83, -98, -60, 74, -24, 16]

Pass 1:
  Compare 73 and 69
  Swap 73 and 69
  List after swap: [69, 73, -90, -83, -98, -60, 74, -24, 16]
  Compare 73 and -90
  Swap 73 and -90
  List after swap: [69, -90, 73, -83, -98, -60, 74, -24, 16]
  Compare 73 and -83
  Swap 73 and -83
  List after swap: [69, -90, -83, 73, -98, -60, 74, -24, 16]
  Compare 73 and -98
  Swap 73 and -98
  List after swap: [69, -90, -83, -98, 73, -60, 74, -24, 16]
  Compare 73 and -60
  Swap 73 and -60
  List after swap: [69, -90, -83, -98, -60, 73, 74, -24, 16]
  Compare 73 and 74
  No swap needed
  Compare 74 and -24
  Swap 74 and -24
  List after swap: [69, -90, -83, -98, -60, 73, -24, 74, 16]
  Compare 74 and 16
  Swap 74 and 16
  List after swap: [69, -90, -83, -98, -60, 73, -24, 16, 74]

Pass 2:
  Compare 69 and -90
  Swap 69 and -90
  List after swap: [-90, 69, -83, -98, -60, 73, -24, 16, 74]
  Compare 69 and -83
  Swap 69 and -83
  List after swap: [-90, -83, 69, -98, -60, 73, -24, 16, 74]
  Compare 69 and -98
  Swap 69 and -98
  List after swap: [-90, -83, -98, 69, -60, 73, -24, 16, 74]
  Compare 69 and -60
  Swap 69 and -60
  List after swap: [-90, -83, -98, -60, 69, 73, -24, 16, 74]
  Compare 69 and 73
  No swap needed
  Compare 73 and -24
  Swap 73 and -24
  List after swap: [-90, -83, -98, -60, 69, -24, 73, 16, 74]
  Compare 73 and 16
  Swap 73 and 16
  List after swap: [-90, -83, -98, -60, 69, -24, 16, 73, 74]

Pass 3:
  Compare -90 and -83
  No swap needed
  Compare -83 and -98
  Swap -83 and -98
  List after swap: [-90, -98, -83, -60, 69, -24, 16, 73, 74]
  Compare -83 and -60
  No swap needed
  Compare -60 and 69
  No swap needed
  Compare 69 and -24
  Swap 69 and -24
  List after swap: [-90, -98, -83, -60, -24, 69, 16, 73, 74]
  Compare 69 and 16
  Swap 69 and 16
  List after swap: [-90, -98, -83, -60, -24, 16, 69, 73, 74]

Pass 4:
  Compare -90 and -98
  Swap -90 and -98
  List after swap: [-98, -90, -83, -60, -24, 16, 69, 73, 74]
  Compare -90 and -83
  No swap needed
  Compare -83 and -60
  No swap needed
  Compare -60 and -24
  No swap needed
  Compare -24 and 16
  No swap needed

Pass 5:
  Compare -98 and -90
  No swap needed
  Compare -90 and -83
  No swap needed
  Compare -83 and -60
  No swap needed
  Compare -60 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -90, -83, -60, -24, 16, 69, 73, 74]
</think>

<response>-98, -90, -83, -60, -24, 16, 69, 73, 74</response>


input: Perform a bubble sort on the integers -3, 41, 32, 52, 38, -44, 97, -77, -5, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-3, 41, 32, 52, 38, -44, 97, -77, -5]

Pass 1:
  Compare -3 and 41
  No swap needed
  Compare 41 and 32
  Swap 41 and 32
  List after swap: [-3, 32, 41, 52, 38, -44, 97, -77, -5]
  Compare 41 and 52
  No swap needed
  Compare 52 and 38
  Swap 52 and 38
  List after swap: [-3, 32, 41, 38, 52, -44, 97, -77, -5]
  Compare 52 and -44
  Swap 52 and -44
  List after swap: [-3, 32, 41, 38, -44, 52, 97, -77, -5]
  Compare 52 and 97
  No swap needed
  Compare 97 and -77
  Swap 97 and -77
  List after swap: [-3, 32, 41, 38, -44, 52, -77, 97, -5]
  Compare 97 and -5
  Swap 97 and -5
  List after swap: [-3, 32, 41, 38, -44, 52, -77, -5, 97]

Pass 2:
  Compare -3 and 32
  No swap needed
  Compare 32 and 41
  No swap needed
  Compare 41 and 38
  Swap 41 and 38
  List after swap: [-3, 32, 38, 41, -44, 52, -77, -5, 97]
  Compare 41 and -44
  Swap 41 and -44
  List after swap: [-3, 32, 38, -44, 41, 52, -77, -5, 97]
  Compare 41 and 52
  No swap needed
  Compare 52 and -77
  Swap 52 and -77
  List after swap: [-3, 32, 38, -44, 41, -77, 52, -5, 97]
  Compare 52 and -5
  Swap 52 and -5
  List after swap: [-3, 32, 38, -44, 41, -77, -5, 52, 97]

Pass 3:
  Compare -3 and 32
  No swap needed
  Compare 32 and 38
  No swap needed
  Compare 38 and -44
  Swap 38 and -44
  List after swap: [-3, 32, -44, 38, 41, -77, -5, 52, 97]
  Compare 38 and 41
  No swap needed
  Compare 41 and -77
  Swap 41 and -77
  List after swap: [-3, 32, -44, 38, -77, 41, -5, 52, 97]
  Compare 41 and -5
  Swap 41 and -5
  List after swap: [-3, 32, -44, 38, -77, -5, 41, 52, 97]

Pass 4:
  Compare -3 and 32
  No swap needed
  Compare 32 and -44
  Swap 32 and -44
  List after swap: [-3, -44, 32, 38, -77, -5, 41, 52, 97]
  Compare 32 and 38
  No swap needed
  Compare 38 and -77
  Swap 38 and -77
  List after swap: [-3, -44, 32, -77, 38, -5, 41, 52, 97]
  Compare 38 and -5
  Swap 38 and -5
  List after swap: [-3, -44, 32, -77, -5, 38, 41, 52, 97]

Pass 5:
  Compare -3 and -44
  Swap -3 and -44
  List after swap: [-44, -3, 32, -77, -5, 38, 41, 52, 97]
  Compare -3 and 32
  No swap needed
  Compare 32 and -77
  Swap 32 and -77
  List after swap: [-44, -3, -77, 32, -5, 38, 41, 52, 97]
  Compare 32 and -5
  Swap 32 and -5
  List after swap: [-44, -3, -77, -5, 32, 38, 41, 52, 97]

Pass 6:
  Compare -44 and -3
  No swap needed
  Compare -3 and -77
  Swap -3 and -77
  List after swap: [-44, -77, -3, -5, 32, 38, 41, 52, 97]
  Compare -3 and -5
  Swap -3 and -5
  List after swap: [-44, -77, -5, -3, 32, 38, 41, 52, 97]

Pass 7:
  Compare -44 and -77
  Swap -44 and -77
  List after swap: [-77, -44, -5, -3, 32, 38, 41, 52, 97]
  Compare -44 and -5
  No swap needed

Pass 8:
  Compare -77 and -44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -44, -5, -3, 32, 38, 41, 52, 97]
</think>

<response>-77, -44, -5, -3, 32, 38, 41, 52, 97</response>


input: Use the bubble sort technique to reorder 92, -65, -72, -49, -82, -68, -27 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [92, -65, -72, -49, -82, -68, -27]

Pass 1:
  Compare 92 and -65
  Swap 92 and -65
  List after swap: [-65, 92, -72, -49, -82, -68, -27]
  Compare 92 and -72
  Swap 92 and -72
  List after swap: [-65, -72, 92, -49, -82, -68, -27]
  Compare 92 and -49
  Swap 92 and -49
  List after swap: [-65, -72, -49, 92, -82, -68, -27]
  Compare 92 and -82
  Swap 92 and -82
  List after swap: [-65, -72, -49, -82, 92, -68, -27]
  Compare 92 and -68
  Swap 92 and -68
  List after swap: [-65, -72, -49, -82, -68, 92, -27]
  Compare 92 and -27
  Swap 92 and -27
  List after swap: [-65, -72, -49, -82, -68, -27, 92]

Pass 2:
  Compare -65 and -72
  Swap -65 and -72
  List after swap: [-72, -65, -49, -82, -68, -27, 92]
  Compare -65 and -49
  No swap needed
  Compare -49 and -82
  Swap -49 and -82
  List after swap: [-72, -65, -82, -49, -68, -27, 92]
  Compare -49 and -68
  Swap -49 and -68
  List after swap: [-72, -65, -82, -68, -49, -27, 92]
  Compare -49 and -27
  No swap needed

Pass 3:
  Compare -72 and -65
  No swap needed
  Compare -65 and -82
  Swap -65 and -82
  List after swap: [-72, -82, -65, -68, -49, -27, 92]
  Compare -65 and -68
  Swap -65 and -68
  List after swap: [-72, -82, -68, -65, -49, -27, 92]
  Compare -65 and -49
  No swap needed

Pass 4:
  Compare -72 and -82
  Swap -72 and -82
  List after swap: [-82, -72, -68, -65, -49, -27, 92]
  Compare -72 and -68
  No swap needed
  Compare -68 and -65
  No swap needed

Pass 5:
  Compare -82 and -72
  No swap needed
  Compare -72 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -72, -68, -65, -49, -27, 92]
</think>

<response>-82, -72, -68, -65, -49, -27, 92</response>


input: Demonstrate how bubble sort orders the integers -93, 59, 28, -40, -80, 67, 20, 93, 71, 4 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-93, 59, 28, -40, -80, 67, 20, 93, 71, 4]

Pass 1:
  Compare -93 and 59
  No swap needed
  Compare 59 and 28
  Swap 59 and 28
  List after swap: [-93, 28, 59, -40, -80, 67, 20, 93, 71, 4]
  Compare 59 and -40
  Swap 59 and -40
  List after swap: [-93, 28, -40, 59, -80, 67, 20, 93, 71, 4]
  Compare 59 and -80
  Swap 59 and -80
  List after swap: [-93, 28, -40, -80, 59, 67, 20, 93, 71, 4]
  Compare 59 and 67
  No swap needed
  Compare 67 and 20
  Swap 67 and 20
  List after swap: [-93, 28, -40, -80, 59, 20, 67, 93, 71, 4]
  Compare 67 and 93
  No swap needed
  Compare 93 and 71
  Swap 93 and 71
  List after swap: [-93, 28, -40, -80, 59, 20, 67, 71, 93, 4]
  Compare 93 and 4
  Swap 93 and 4
  List after swap: [-93, 28, -40, -80, 59, 20, 67, 71, 4, 93]

Pass 2:
  Compare -93 and 28
  No swap needed
  Compare 28 and -40
  Swap 28 and -40
  List after swap: [-93, -40, 28, -80, 59, 20, 67, 71, 4, 93]
  Compare 28 and -80
  Swap 28 and -80
  List after swap: [-93, -40, -80, 28, 59, 20, 67, 71, 4, 93]
  Compare 28 and 59
  No swap needed
  Compare 59 and 20
  Swap 59 and 20
  List after swap: [-93, -40, -80, 28, 20, 59, 67, 71, 4, 93]
  Compare 59 and 67
  No swap needed
  Compare 67 and 71
  No swap needed
  Compare 71 and 4
  Swap 71 and 4
  List after swap: [-93, -40, -80, 28, 20, 59, 67, 4, 71, 93]

Pass 3:
  Compare -93 and -40
  No swap needed
  Compare -40 and -80
  Swap -40 and -80
  List after swap: [-93, -80, -40, 28, 20, 59, 67, 4, 71, 93]
  Compare -40 and 28
  No swap needed
  Compare 28 and 20
  Swap 28 and 20
  List after swap: [-93, -80, -40, 20, 28, 59, 67, 4, 71, 93]
  Compare 28 and 59
  No swap needed
  Compare 59 and 67
  No swap needed
  Compare 67 and 4
  Swap 67 and 4
  List after swap: [-93, -80, -40, 20, 28, 59, 4, 67, 71, 93]

Pass 4:
  Compare -93 and -80
  No swap needed
  Compare -80 and -40
  No swap needed
  Compare -40 and 20
  No swap needed
  Compare 20 and 28
  No swap needed
  Compare 28 and 59
  No swap needed
  Compare 59 and 4
  Swap 59 and 4
  List after swap: [-93, -80, -40, 20, 28, 4, 59, 67, 71, 93]

Pass 5:
  Compare -93 and -80
  No swap needed
  Compare -80 and -40
  No swap needed
  Compare -40 and 20
  No swap needed
  Compare 20 and 28
  No swap needed
  Compare 28 and 4
  Swap 28 and 4
  List after swap: [-93, -80, -40, 20, 4, 28, 59, 67, 71, 93]

Pass 6:
  Compare -93 and -80
  No swap needed
  Compare -80 and -40
  No swap needed
  Compare -40 and 20
  No swap needed
  Compare 20 and 4
  Swap 20 and 4
  List after swap: [-93, -80, -40, 4, 20, 28, 59, 67, 71, 93]

Pass 7:
  Compare -93 and -80
  No swap needed
  Compare -80 and -40
  No swap needed
  Compare -40 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -80, -40, 4, 20, 28, 59, 67, 71, 93]
</think>

<response>-93, -80, -40, 4, 20, 28, 59, 67, 71, 93</response>


input: Carry out the bubble sort algorithm on 73, 38, 29 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [73, 38, 29]

Pass 1:
  Compare 73 and 38
  Swap 73 and 38
  List after swap: [38, 73, 29]
  Compare 73 and 29
  Swap 73 and 29
  List after swap: [38, 29, 73]

Pass 2:
  Compare 38 and 29
  Swap 38 and 29
  List after swap: [29, 38, 73]

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

Final sorted list: [29, 38, 73]
</think>

<response>29, 38, 73</response>


input: Demonstrate how bubble sort orders the integers -89, -33 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-89, -33]

Pass 1:
  Compare -89 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -33]
</think>

<response>-89, -33</response>


input: Demonstrate how bubble sort orders the integers -99, -86, 2, -37, 0, -90, 28 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-99, -86, 2, -37, 0, -90, 28]

Pass 1:
  Compare -99 and -86
  No swap needed
  Compare -86 and 2
  No swap needed
  Compare 2 and -37
  Swap 2 and -37
  List after swap: [-99, -86, -37, 2, 0, -90, 28]
  Compare 2 and 0
  Swap 2 and 0
  List after swap: [-99, -86, -37, 0, 2, -90, 28]
  Compare 2 and -90
  Swap 2 and -90
  List after swap: [-99, -86, -37, 0, -90, 2, 28]
  Compare 2 and 28
  No swap needed

Pass 2:
  Compare -99 and -86
  No swap needed
  Compare -86 and -37
  No swap needed
  Compare -37 and 0
  No swap needed
  Compare 0 and -90
  Swap 0 and -90
  List after swap: [-99, -86, -37, -90, 0, 2, 28]
  Compare 0 and 2
  No swap needed

Pass 3:
  Compare -99 and -86
  No swap needed
  Compare -86 and -37
  No swap needed
  Compare -37 and -90
  Swap -37 and -90
  List after swap: [-99, -86, -90, -37, 0, 2, 28]
  Compare -37 and 0
  No swap needed

Pass 4:
  Compare -99 and -86
  No swap needed
  Compare -86 and -90
  Swap -86 and -90
  List after swap: [-99, -90, -86, -37, 0, 2, 28]
  Compare -86 and -37
  No swap needed

Pass 5:
  Compare -99 and -90
  No swap needed
  Compare -90 and -86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -90, -86, -37, 0, 2, 28]
</think>

<response>-99, -90, -86, -37, 0, 2, 28</response>


input: Demonstrate how bubble sort orders the integers 32, -35, -73, 70, 67, 27 in ascending sequence, showing all steps.

output:
<think>
Initial list: [32, -35, -73, 70, 67, 27]

Pass 1:
  Compare 32 and -35
  Swap 32 and -35
  List after swap: [-35, 32, -73, 70, 67, 27]
  Compare 32 and -73
  Swap 32 and -73
  List after swap: [-35, -73, 32, 70, 67, 27]
  Compare 32 and 70
  No swap needed
  Compare 70 and 67
  Swap 70 and 67
  List after swap: [-35, -73, 32, 67, 70, 27]
  Compare 70 and 27
  Swap 70 and 27
  List after swap: [-35, -73, 32, 67, 27, 70]

Pass 2:
  Compare -35 and -73
  Swap -35 and -73
  List after swap: [-73, -35, 32, 67, 27, 70]
  Compare -35 and 32
  No swap needed
  Compare 32 and 67
  No swap needed
  Compare 67 and 27
  Swap 67 and 27
  List after swap: [-73, -35, 32, 27, 67, 70]

Pass 3:
  Compare -73 and -35
  No swap needed
  Compare -35 and 32
  No swap needed
  Compare 32 and 27
  Swap 32 and 27
  List after swap: [-73, -35, 27, 32, 67, 70]

Pass 4:
  Compare -73 and -35
  No swap needed
  Compare -35 and 27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -35, 27, 32, 67, 70]
</think>

<response>-73, -35, 27, 32, 67, 70</response>


input: Arrange the numbers -43, -77, -6, -71 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-43, -77, -6, -71]

Pass 1:
  Compare -43 and -77
  Swap -43 and -77
  List after swap: [-77, -43, -6, -71]
  Compare -43 and -6
  No swap needed
  Compare -6 and -71
  Swap -6 and -71
  List after swap: [-77, -43, -71, -6]

Pass 2:
  Compare -77 and -43
  No swap needed
  Compare -43 and -71
  Swap -43 and -71
  List after swap: [-77, -71, -43, -6]

Pass 3:
  Compare -77 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -71, -43, -6]
</think>

<response>-77, -71, -43, -6</response>


input: Arrange the numbers -68, -1, -7, -19, -87, -88, 28, 99, 1 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-68, -1, -7, -19, -87, -88, 28, 99, 1]

Pass 1:
  Compare -68 and -1
  No swap needed
  Compare -1 and -7
  Swap -1 and -7
  List after swap: [-68, -7, -1, -19, -87, -88, 28, 99, 1]
  Compare -1 and -19
  Swap -1 and -19
  List after swap: [-68, -7, -19, -1, -87, -88, 28, 99, 1]
  Compare -1 and -87
  Swap -1 and -87
  List after swap: [-68, -7, -19, -87, -1, -88, 28, 99, 1]
  Compare -1 and -88
  Swap -1 and -88
  List after swap: [-68, -7, -19, -87, -88, -1, 28, 99, 1]
  Compare -1 and 28
  No swap needed
  Compare 28 and 99
  No swap needed
  Compare 99 and 1
  Swap 99 and 1
  List after swap: [-68, -7, -19, -87, -88, -1, 28, 1, 99]

Pass 2:
  Compare -68 and -7
  No swap needed
  Compare -7 and -19
  Swap -7 and -19
  List after swap: [-68, -19, -7, -87, -88, -1, 28, 1, 99]
  Compare -7 and -87
  Swap -7 and -87
  List after swap: [-68, -19, -87, -7, -88, -1, 28, 1, 99]
  Compare -7 and -88
  Swap -7 and -88
  List after swap: [-68, -19, -87, -88, -7, -1, 28, 1, 99]
  Compare -7 and -1
  No swap needed
  Compare -1 and 28
  No swap needed
  Compare 28 and 1
  Swap 28 and 1
  List after swap: [-68, -19, -87, -88, -7, -1, 1, 28, 99]

Pass 3:
  Compare -68 and -19
  No swap needed
  Compare -19 and -87
  Swap -19 and -87
  List after swap: [-68, -87, -19, -88, -7, -1, 1, 28, 99]
  Compare -19 and -88
  Swap -19 and -88
  List after swap: [-68, -87, -88, -19, -7, -1, 1, 28, 99]
  Compare -19 and -7
  No swap needed
  Compare -7 and -1
  No swap needed
  Compare -1 and 1
  No swap needed

Pass 4:
  Compare -68 and -87
  Swap -68 and -87
  List after swap: [-87, -68, -88, -19, -7, -1, 1, 28, 99]
  Compare -68 and -88
  Swap -68 and -88
  List after swap: [-87, -88, -68, -19, -7, -1, 1, 28, 99]
  Compare -68 and -19
  No swap needed
  Compare -19 and -7
  No swap needed
  Compare -7 and -1
  No swap needed

Pass 5:
  Compare -87 and -88
  Swap -87 and -88
  List after swap: [-88, -87, -68, -19, -7, -1, 1, 28, 99]
  Compare -87 and -68
  No swap needed
  Compare -68 and -19
  No swap needed
  Compare -19 and -7
  No swap needed

Pass 6:
  Compare -88 and -87
  No swap needed
  Compare -87 and -68
  No swap needed
  Compare -68 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -87, -68, -19, -7, -1, 1, 28, 99]
</think>

<response>-88, -87, -68, -19, -7, -1, 1, 28, 99</response>


input: Arrange the numbers 68, -69, 30, 17, 32, 72, -1 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [68, -69, 30, 17, 32, 72, -1]

Pass 1:
  Compare 68 and -69
  Swap 68 and -69
  List after swap: [-69, 68, 30, 17, 32, 72, -1]
  Compare 68 and 30
  Swap 68 and 30
  List after swap: [-69, 30, 68, 17, 32, 72, -1]
  Compare 68 and 17
  Swap 68 and 17
  List after swap: [-69, 30, 17, 68, 32, 72, -1]
  Compare 68 and 32
  Swap 68 and 32
  List after swap: [-69, 30, 17, 32, 68, 72, -1]
  Compare 68 and 72
  No swap needed
  Compare 72 and -1
  Swap 72 and -1
  List after swap: [-69, 30, 17, 32, 68, -1, 72]

Pass 2:
  Compare -69 and 30
  No swap needed
  Compare 30 and 17
  Swap 30 and 17
  List after swap: [-69, 17, 30, 32, 68, -1, 72]
  Compare 30 and 32
  No swap needed
  Compare 32 and 68
  No swap needed
  Compare 68 and -1
  Swap 68 and -1
  List after swap: [-69, 17, 30, 32, -1, 68, 72]

Pass 3:
  Compare -69 and 17
  No swap needed
  Compare 17 and 30
  No swap needed
  Compare 30 and 32
  No swap needed
  Compare 32 and -1
  Swap 32 and -1
  List after swap: [-69, 17, 30, -1, 32, 68, 72]

Pass 4:
  Compare -69 and 17
  No swap needed
  Compare 17 and 30
  No swap needed
  Compare 30 and -1
  Swap 30 and -1
  List after swap: [-69, 17, -1, 30, 32, 68, 72]

Pass 5:
  Compare -69 and 17
  No swap needed
  Compare 17 and -1
  Swap 17 and -1
  List after swap: [-69, -1, 17, 30, 32, 68, 72]

Pass 6:
  Compare -69 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -1, 17, 30, 32, 68, 72]
</think>

<response>-69, -1, 17, 30, 32, 68, 72</response>


input: Execute bubble sort to sort 93, 71, -7, -86, -27, -93 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [93, 71, -7, -86, -27, -93]

Pass 1:
  Compare 93 and 71
  Swap 93 and 71
  List after swap: [71, 93, -7, -86, -27, -93]
  Compare 93 and -7
  Swap 93 and -7
  List after swap: [71, -7, 93, -86, -27, -93]
  Compare 93 and -86
  Swap 93 and -86
  List after swap: [71, -7, -86, 93, -27, -93]
  Compare 93 and -27
  Swap 93 and -27
  List after swap: [71, -7, -86, -27, 93, -93]
  Compare 93 and -93
  Swap 93 and -93
  List after swap: [71, -7, -86, -27, -93, 93]

Pass 2:
  Compare 71 and -7
  Swap 71 and -7
  List after swap: [-7, 71, -86, -27, -93, 93]
  Compare 71 and -86
  Swap 71 and -86
  List after swap: [-7, -86, 71, -27, -93, 93]
  Compare 71 and -27
  Swap 71 and -27
  List after swap: [-7, -86, -27, 71, -93, 93]
  Compare 71 and -93
  Swap 71 and -93
  List after swap: [-7, -86, -27, -93, 71, 93]

Pass 3:
  Compare -7 and -86
  Swap -7 and -86
  List after swap: [-86, -7, -27, -93, 71, 93]
  Compare -7 and -27
  Swap -7 and -27
  List after swap: [-86, -27, -7, -93, 71, 93]
  Compare -7 and -93
  Swap -7 and -93
  List after swap: [-86, -27, -93, -7, 71, 93]

Pass 4:
  Compare -86 and -27
  No swap needed
  Compare -27 and -93
  Swap -27 and -93
  List after swap: [-86, -93, -27, -7, 71, 93]

Pass 5:
  Compare -86 and -93
  Swap -86 and -93
  List after swap: [-93, -86, -27, -7, 71, 93]

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

Final sorted list: [-93, -86, -27, -7, 71, 93]
</think>

<response>-93, -86, -27, -7, 71, 93</response>


input: Using the bubble sort method, sort -73, 36, 43 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-73, 36, 43]

Pass 1:
  Compare -73 and 36
  No swap needed
  Compare 36 and 43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, 36, 43]
</think>

<response>-73, 36, 43</response>


input: Arrange the numbers -91, -61, 58, 68, -48, 35 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-91, -61, 58, 68, -48, 35]

Pass 1:
  Compare -91 and -61
  No swap needed
  Compare -61 and 58
  No swap needed
  Compare 58 and 68
  No swap needed
  Compare 68 and -48
  Swap 68 and -48
  List after swap: [-91, -61, 58, -48, 68, 35]
  Compare 68 and 35
  Swap 68 and 35
  List after swap: [-91, -61, 58, -48, 35, 68]

Pass 2:
  Compare -91 and -61
  No swap needed
  Compare -61 and 58
  No swap needed
  Compare 58 and -48
  Swap 58 and -48
  List after swap: [-91, -61, -48, 58, 35, 68]
  Compare 58 and 35
  Swap 58 and 35
  List after swap: [-91, -61, -48, 35, 58, 68]

Pass 3:
  Compare -91 and -61
  No swap needed
  Compare -61 and -48
  No swap needed
  Compare -48 and 35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -61, -48, 35, 58, 68]
</think>

<response>-91, -61, -48, 35, 58, 68</response>


input: Sort the list -31, -42, -97, -34, 30, 24, -90, -66 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-31, -42, -97, -34, 30, 24, -90, -66]

Pass 1:
  Compare -31 and -42
  Swap -31 and -42
  List after swap: [-42, -31, -97, -34, 30, 24, -90, -66]
  Compare -31 and -97
  Swap -31 and -97
  List after swap: [-42, -97, -31, -34, 30, 24, -90, -66]
  Compare -31 and -34
  Swap -31 and -34
  List after swap: [-42, -97, -34, -31, 30, 24, -90, -66]
  Compare -31 and 30
  No swap needed
  Compare 30 and 24
  Swap 30 and 24
  List after swap: [-42, -97, -34, -31, 24, 30, -90, -66]
  Compare 30 and -90
  Swap 30 and -90
  List after swap: [-42, -97, -34, -31, 24, -90, 30, -66]
  Compare 30 and -66
  Swap 30 and -66
  List after swap: [-42, -97, -34, -31, 24, -90, -66, 30]

Pass 2:
  Compare -42 and -97
  Swap -42 and -97
  List after swap: [-97, -42, -34, -31, 24, -90, -66, 30]
  Compare -42 and -34
  No swap needed
  Compare -34 and -31
  No swap needed
  Compare -31 and 24
  No swap needed
  Compare 24 and -90
  Swap 24 and -90
  List after swap: [-97, -42, -34, -31, -90, 24, -66, 30]
  Compare 24 and -66
  Swap 24 and -66
  List after swap: [-97, -42, -34, -31, -90, -66, 24, 30]

Pass 3:
  Compare -97 and -42
  No swap needed
  Compare -42 and -34
  No swap needed
  Compare -34 and -31
  No swap needed
  Compare -31 and -90
  Swap -31 and -90
  List after swap: [-97, -42, -34, -90, -31, -66, 24, 30]
  Compare -31 and -66
  Swap -31 and -66
  List after swap: [-97, -42, -34, -90, -66, -31, 24, 30]

Pass 4:
  Compare -97 and -42
  No swap needed
  Compare -42 and -34
  No swap needed
  Compare -34 and -90
  Swap -34 and -90
  List after swap: [-97, -42, -90, -34, -66, -31, 24, 30]
  Compare -34 and -66
  Swap -34 and -66
  List after swap: [-97, -42, -90, -66, -34, -31, 24, 30]

Pass 5:
  Compare -97 and -42
  No swap needed
  Compare -42 and -90
  Swap -42 and -90
  List after swap: [-97, -90, -42, -66, -34, -31, 24, 30]
  Compare -42 and -66
  Swap -42 and -66
  List after swap: [-97, -90, -66, -42, -34, -31, 24, 30]

Pass 6:
  Compare -97 and -90
  No swap needed
  Compare -90 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -90, -66, -42, -34, -31, 24, 30]
</think>

<response>-97, -90, -66, -42, -34, -31, 24, 30</response>


input: Implement bubble sort on 8, -34 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [8, -34]

Pass 1:
  Compare 8 and -34
  Swap 8 and -34
  List after swap: [-34, 8]

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

Final sorted list: [-34, 8]
</think>

<response>-34, 8</response>


input: Sort the list 24, 28, 1, 65, 41, -33, -57, -96, -38, -37 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [24, 28, 1, 65, 41, -33, -57, -96, -38, -37]

Pass 1:
  Compare 24 and 28
  No swap needed
  Compare 28 and 1
  Swap 28 and 1
  List after swap: [24, 1, 28, 65, 41, -33, -57, -96, -38, -37]
  Compare 28 and 65
  No swap needed
  Compare 65 and 41
  Swap 65 and 41
  List after swap: [24, 1, 28, 41, 65, -33, -57, -96, -38, -37]
  Compare 65 and -33
  Swap 65 and -33
  List after swap: [24, 1, 28, 41, -33, 65, -57, -96, -38, -37]
  Compare 65 and -57
  Swap 65 and -57
  List after swap: [24, 1, 28, 41, -33, -57, 65, -96, -38, -37]
  Compare 65 and -96
  Swap 65 and -96
  List after swap: [24, 1, 28, 41, -33, -57, -96, 65, -38, -37]
  Compare 65 and -38
  Swap 65 and -38
  List after swap: [24, 1, 28, 41, -33, -57, -96, -38, 65, -37]
  Compare 65 and -37
  Swap 65 and -37
  List after swap: [24, 1, 28, 41, -33, -57, -96, -38, -37, 65]

Pass 2:
  Compare 24 and 1
  Swap 24 and 1
  List after swap: [1, 24, 28, 41, -33, -57, -96, -38, -37, 65]
  Compare 24 and 28
  No swap needed
  Compare 28 and 41
  No swap needed
  Compare 41 and -33
  Swap 41 and -33
  List after swap: [1, 24, 28, -33, 41, -57, -96, -38, -37, 65]
  Compare 41 and -57
  Swap 41 and -57
  List after swap: [1, 24, 28, -33, -57, 41, -96, -38, -37, 65]
  Compare 41 and -96
  Swap 41 and -96
  List after swap: [1, 24, 28, -33, -57, -96, 41, -38, -37, 65]
  Compare 41 and -38
  Swap 41 and -38
  List after swap: [1, 24, 28, -33, -57, -96, -38, 41, -37, 65]
  Compare 41 and -37
  Swap 41 and -37
  List after swap: [1, 24, 28, -33, -57, -96, -38, -37, 41, 65]

Pass 3:
  Compare 1 and 24
  No swap needed
  Compare 24 and 28
  No swap needed
  Compare 28 and -33
  Swap 28 and -33
  List after swap: [1, 24, -33, 28, -57, -96, -38, -37, 41, 65]
  Compare 28 and -57
  Swap 28 and -57
  List after swap: [1, 24, -33, -57, 28, -96, -38, -37, 41, 65]
  Compare 28 and -96
  Swap 28 and -96
  List after swap: [1, 24, -33, -57, -96, 28, -38, -37, 41, 65]
  Compare 28 and -38
  Swap 28 and -38
  List after swap: [1, 24, -33, -57, -96, -38, 28, -37, 41, 65]
  Compare 28 and -37
  Swap 28 and -37
  List after swap: [1, 24, -33, -57, -96, -38, -37, 28, 41, 65]

Pass 4:
  Compare 1 and 24
  No swap needed
  Compare 24 and -33
  Swap 24 and -33
  List after swap: [1, -33, 24, -57, -96, -38, -37, 28, 41, 65]
  Compare 24 and -57
  Swap 24 and -57
  List after swap: [1, -33, -57, 24, -96, -38, -37, 28, 41, 65]
  Compare 24 and -96
  Swap 24 and -96
  List after swap: [1, -33, -57, -96, 24, -38, -37, 28, 41, 65]
  Compare 24 and -38
  Swap 24 and -38
  List after swap: [1, -33, -57, -96, -38, 24, -37, 28, 41, 65]
  Compare 24 and -37
  Swap 24 and -37
  List after swap: [1, -33, -57, -96, -38, -37, 24, 28, 41, 65]

Pass 5:
  Compare 1 and -33
  Swap 1 and -33
  List after swap: [-33, 1, -57, -96, -38, -37, 24, 28, 41, 65]
  Compare 1 and -57
  Swap 1 and -57
  List after swap: [-33, -57, 1, -96, -38, -37, 24, 28, 41, 65]
  Compare 1 and -96
  Swap 1 and -96
  List after swap: [-33, -57, -96, 1, -38, -37, 24, 28, 41, 65]
  Compare 1 and -38
  Swap 1 and -38
  List after swap: [-33, -57, -96, -38, 1, -37, 24, 28, 41, 65]
  Compare 1 and -37
  Swap 1 and -37
  List after swap: [-33, -57, -96, -38, -37, 1, 24, 28, 41, 65]

Pass 6:
  Compare -33 and -57
  Swap -33 and -57
  List after swap: [-57, -33, -96, -38, -37, 1, 24, 28, 41, 65]
  Compare -33 and -96
  Swap -33 and -96
  List after swap: [-57, -96, -33, -38, -37, 1, 24, 28, 41, 65]
  Compare -33 and -38
  Swap -33 and -38
  List after swap: [-57, -96, -38, -33, -37, 1, 24, 28, 41, 65]
  Compare -33 and -37
  Swap -33 and -37
  List after swap: [-57, -96, -38, -37, -33, 1, 24, 28, 41, 65]

Pass 7:
  Compare -57 and -96
  Swap -57 and -96
  List after swap: [-96, -57, -38, -37, -33, 1, 24, 28, 41, 65]
  Compare -57 and -38
  No swap needed
  Compare -38 and -37
  No swap needed

Pass 8:
  Compare -96 and -57
  No swap needed
  Compare -57 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -57, -38, -37, -33, 1, 24, 28, 41, 65]
</think>

<response>-96, -57, -38, -37, -33, 1, 24, 28, 41, 65</response>


input: Using the bubble sort method, sort 11, -54, -75, -79, -74, 65 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [11, -54, -75, -79, -74, 65]

Pass 1:
  Compare 11 and -54
  Swap 11 and -54
  List after swap: [-54, 11, -75, -79, -74, 65]
  Compare 11 and -75
  Swap 11 and -75
  List after swap: [-54, -75, 11, -79, -74, 65]
  Compare 11 and -79
  Swap 11 and -79
  List after swap: [-54, -75, -79, 11, -74, 65]
  Compare 11 and -74
  Swap 11 and -74
  List after swap: [-54, -75, -79, -74, 11, 65]
  Compare 11 and 65
  No swap needed

Pass 2:
  Compare -54 and -75
  Swap -54 and -75
  List after swap: [-75, -54, -79, -74, 11, 65]
  Compare -54 and -79
  Swap -54 and -79
  List after swap: [-75, -79, -54, -74, 11, 65]
  Compare -54 and -74
  Swap -54 and -74
  List after swap: [-75, -79, -74, -54, 11, 65]
  Compare -54 and 11
  No swap needed

Pass 3:
  Compare -75 and -79
  Swap -75 and -79
  List after swap: [-79, -75, -74, -54, 11, 65]
  Compare -75 and -74
  No swap needed
  Compare -74 and -54
  No swap needed

Pass 4:
  Compare -79 and -75
  No swap needed
  Compare -75 and -74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -75, -74, -54, 11, 65]
</think>

<response>-79, -75, -74, -54, 11, 65</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -2, -72.

output:
<think>
Initial list: [-2, -72]

Pass 1:
  Compare -2 and -72
  Swap -2 and -72
  List after swap: [-72, -2]

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

Final sorted list: [-72, -2]
</think>

<response>-72, -2</response>


input: Use the bubble sort technique to reorder 51, -75 into ascending order, and write down each step of the procedure.

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

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

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

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

<response>-75, 51</response>


input: Demonstrate how bubble sort orders the integers 21, 30 in ascending sequence, showing all steps.

output:
<think>
Initial list: [21, 30]

Pass 1:
  Compare 21 and 30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [21, 30]
</think>

<response>21, 30</response>


input: Using the bubble sort method, sort 81, -56, 12, 8, 52, 41, 14, 21, -62 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [81, -56, 12, 8, 52, 41, 14, 21, -62]

Pass 1:
  Compare 81 and -56
  Swap 81 and -56
  List after swap: [-56, 81, 12, 8, 52, 41, 14, 21, -62]
  Compare 81 and 12
  Swap 81 and 12
  List after swap: [-56, 12, 81, 8, 52, 41, 14, 21, -62]
  Compare 81 and 8
  Swap 81 and 8
  List after swap: [-56, 12, 8, 81, 52, 41, 14, 21, -62]
  Compare 81 and 52
  Swap 81 and 52
  List after swap: [-56, 12, 8, 52, 81, 41, 14, 21, -62]
  Compare 81 and 41
  Swap 81 and 41
  List after swap: [-56, 12, 8, 52, 41, 81, 14, 21, -62]
  Compare 81 and 14
  Swap 81 and 14
  List after swap: [-56, 12, 8, 52, 41, 14, 81, 21, -62]
  Compare 81 and 21
  Swap 81 and 21
  List after swap: [-56, 12, 8, 52, 41, 14, 21, 81, -62]
  Compare 81 and -62
  Swap 81 and -62
  List after swap: [-56, 12, 8, 52, 41, 14, 21, -62, 81]

Pass 2:
  Compare -56 and 12
  No swap needed
  Compare 12 and 8
  Swap 12 and 8
  List after swap: [-56, 8, 12, 52, 41, 14, 21, -62, 81]
  Compare 12 and 52
  No swap needed
  Compare 52 and 41
  Swap 52 and 41
  List after swap: [-56, 8, 12, 41, 52, 14, 21, -62, 81]
  Compare 52 and 14
  Swap 52 and 14
  List after swap: [-56, 8, 12, 41, 14, 52, 21, -62, 81]
  Compare 52 and 21
  Swap 52 and 21
  List after swap: [-56, 8, 12, 41, 14, 21, 52, -62, 81]
  Compare 52 and -62
  Swap 52 and -62
  List after swap: [-56, 8, 12, 41, 14, 21, -62, 52, 81]

Pass 3:
  Compare -56 and 8
  No swap needed
  Compare 8 and 12
  No swap needed
  Compare 12 and 41
  No swap needed
  Compare 41 and 14
  Swap 41 and 14
  List after swap: [-56, 8, 12, 14, 41, 21, -62, 52, 81]
  Compare 41 and 21
  Swap 41 and 21
  List after swap: [-56, 8, 12, 14, 21, 41, -62, 52, 81]
  Compare 41 and -62
  Swap 41 and -62
  List after swap: [-56, 8, 12, 14, 21, -62, 41, 52, 81]

Pass 4:
  Compare -56 and 8
  No swap needed
  Compare 8 and 12
  No swap needed
  Compare 12 and 14
  No swap needed
  Compare 14 and 21
  No swap needed
  Compare 21 and -62
  Swap 21 and -62
  List after swap: [-56, 8, 12, 14, -62, 21, 41, 52, 81]

Pass 5:
  Compare -56 and 8
  No swap needed
  Compare 8 and 12
  No swap needed
  Compare 12 and 14
  No swap needed
  Compare 14 and -62
  Swap 14 and -62
  List after swap: [-56, 8, 12, -62, 14, 21, 41, 52, 81]

Pass 6:
  Compare -56 and 8
  No swap needed
  Compare 8 and 12
  No swap needed
  Compare 12 and -62
  Swap 12 and -62
  List after swap: [-56, 8, -62, 12, 14, 21, 41, 52, 81]

Pass 7:
  Compare -56 and 8
  No swap needed
  Compare 8 and -62
  Swap 8 and -62
  List after swap: [-56, -62, 8, 12, 14, 21, 41, 52, 81]

Pass 8:
  Compare -56 and -62
  Swap -56 and -62
  List after swap: [-62, -56, 8, 12, 14, 21, 41, 52, 81]

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

Final sorted list: [-62, -56, 8, 12, 14, 21, 41, 52, 81]
</think>

<response>-62, -56, 8, 12, 14, 21, 41, 52, 81</response>


input: Implement bubble sort on 92, -36, -22, 47, -82, -90, -47 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [92, -36, -22, 47, -82, -90, -47]

Pass 1:
  Compare 92 and -36
  Swap 92 and -36
  List after swap: [-36, 92, -22, 47, -82, -90, -47]
  Compare 92 and -22
  Swap 92 and -22
  List after swap: [-36, -22, 92, 47, -82, -90, -47]
  Compare 92 and 47
  Swap 92 and 47
  List after swap: [-36, -22, 47, 92, -82, -90, -47]
  Compare 92 and -82
  Swap 92 and -82
  List after swap: [-36, -22, 47, -82, 92, -90, -47]
  Compare 92 and -90
  Swap 92 and -90
  List after swap: [-36, -22, 47, -82, -90, 92, -47]
  Compare 92 and -47
  Swap 92 and -47
  List after swap: [-36, -22, 47, -82, -90, -47, 92]

Pass 2:
  Compare -36 and -22
  No swap needed
  Compare -22 and 47
  No swap needed
  Compare 47 and -82
  Swap 47 and -82
  List after swap: [-36, -22, -82, 47, -90, -47, 92]
  Compare 47 and -90
  Swap 47 and -90
  List after swap: [-36, -22, -82, -90, 47, -47, 92]
  Compare 47 and -47
  Swap 47 and -47
  List after swap: [-36, -22, -82, -90, -47, 47, 92]

Pass 3:
  Compare -36 and -22
  No swap needed
  Compare -22 and -82
  Swap -22 and -82
  List after swap: [-36, -82, -22, -90, -47, 47, 92]
  Compare -22 and -90
  Swap -22 and -90
  List after swap: [-36, -82, -90, -22, -47, 47, 92]
  Compare -22 and -47
  Swap -22 and -47
  List after swap: [-36, -82, -90, -47, -22, 47, 92]

Pass 4:
  Compare -36 and -82
  Swap -36 and -82
  List after swap: [-82, -36, -90, -47, -22, 47, 92]
  Compare -36 and -90
  Swap -36 and -90
  List after swap: [-82, -90, -36, -47, -22, 47, 92]
  Compare -36 and -47
  Swap -36 and -47
  List after swap: [-82, -90, -47, -36, -22, 47, 92]

Pass 5:
  Compare -82 and -90
  Swap -82 and -90
  List after swap: [-90, -82, -47, -36, -22, 47, 92]
  Compare -82 and -47
  No swap needed

Pass 6:
  Compare -90 and -82
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -82, -47, -36, -22, 47, 92]
</think>

<response>-90, -82, -47, -36, -22, 47, 92</response>


input: Arrange the numbers -30, -7, 51, -72, 90, -41, -67, -81 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-30, -7, 51, -72, 90, -41, -67, -81]

Pass 1:
  Compare -30 and -7
  No swap needed
  Compare -7 and 51
  No swap needed
  Compare 51 and -72
  Swap 51 and -72
  List after swap: [-30, -7, -72, 51, 90, -41, -67, -81]
  Compare 51 and 90
  No swap needed
  Compare 90 and -41
  Swap 90 and -41
  List after swap: [-30, -7, -72, 51, -41, 90, -67, -81]
  Compare 90 and -67
  Swap 90 and -67
  List after swap: [-30, -7, -72, 51, -41, -67, 90, -81]
  Compare 90 and -81
  Swap 90 and -81
  List after swap: [-30, -7, -72, 51, -41, -67, -81, 90]

Pass 2:
  Compare -30 and -7
  No swap needed
  Compare -7 and -72
  Swap -7 and -72
  List after swap: [-30, -72, -7, 51, -41, -67, -81, 90]
  Compare -7 and 51
  No swap needed
  Compare 51 and -41
  Swap 51 and -41
  List after swap: [-30, -72, -7, -41, 51, -67, -81, 90]
  Compare 51 and -67
  Swap 51 and -67
  List after swap: [-30, -72, -7, -41, -67, 51, -81, 90]
  Compare 51 and -81
  Swap 51 and -81
  List after swap: [-30, -72, -7, -41, -67, -81, 51, 90]

Pass 3:
  Compare -30 and -72
  Swap -30 and -72
  List after swap: [-72, -30, -7, -41, -67, -81, 51, 90]
  Compare -30 and -7
  No swap needed
  Compare -7 and -41
  Swap -7 and -41
  List after swap: [-72, -30, -41, -7, -67, -81, 51, 90]
  Compare -7 and -67
  Swap -7 and -67
  List after swap: [-72, -30, -41, -67, -7, -81, 51, 90]
  Compare -7 and -81
  Swap -7 and -81
  List after swap: [-72, -30, -41, -67, -81, -7, 51, 90]

Pass 4:
  Compare -72 and -30
  No swap needed
  Compare -30 and -41
  Swap -30 and -41
  List after swap: [-72, -41, -30, -67, -81, -7, 51, 90]
  Compare -30 and -67
  Swap -30 and -67
  List after swap: [-72, -41, -67, -30, -81, -7, 51, 90]
  Compare -30 and -81
  Swap -30 and -81
  List after swap: [-72, -41, -67, -81, -30, -7, 51, 90]

Pass 5:
  Compare -72 and -41
  No swap needed
  Compare -41 and -67
  Swap -41 and -67
  List after swap: [-72, -67, -41, -81, -30, -7, 51, 90]
  Compare -41 and -81
  Swap -41 and -81
  List after swap: [-72, -67, -81, -41, -30, -7, 51, 90]

Pass 6:
  Compare -72 and -67
  No swap needed
  Compare -67 and -81
  Swap -67 and -81
  List after swap: [-72, -81, -67, -41, -30, -7, 51, 90]

Pass 7:
  Compare -72 and -81
  Swap -72 and -81
  List after swap: [-81, -72, -67, -41, -30, -7, 51, 90]

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

Final sorted list: [-81, -72, -67, -41, -30, -7, 51, 90]
</think>

<response>-81, -72, -67, -41, -30, -7, 51, 90</response>


input: Arrange the numbers 77, 69, -95, -59, -62, -93, 97, 13, -7 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [77, 69, -95, -59, -62, -93, 97, 13, -7]

Pass 1:
  Compare 77 and 69
  Swap 77 and 69
  List after swap: [69, 77, -95, -59, -62, -93, 97, 13, -7]
  Compare 77 and -95
  Swap 77 and -95
  List after swap: [69, -95, 77, -59, -62, -93, 97, 13, -7]
  Compare 77 and -59
  Swap 77 and -59
  List after swap: [69, -95, -59, 77, -62, -93, 97, 13, -7]
  Compare 77 and -62
  Swap 77 and -62
  List after swap: [69, -95, -59, -62, 77, -93, 97, 13, -7]
  Compare 77 and -93
  Swap 77 and -93
  List after swap: [69, -95, -59, -62, -93, 77, 97, 13, -7]
  Compare 77 and 97
  No swap needed
  Compare 97 and 13
  Swap 97 and 13
  List after swap: [69, -95, -59, -62, -93, 77, 13, 97, -7]
  Compare 97 and -7
  Swap 97 and -7
  List after swap: [69, -95, -59, -62, -93, 77, 13, -7, 97]

Pass 2:
  Compare 69 and -95
  Swap 69 and -95
  List after swap: [-95, 69, -59, -62, -93, 77, 13, -7, 97]
  Compare 69 and -59
  Swap 69 and -59
  List after swap: [-95, -59, 69, -62, -93, 77, 13, -7, 97]
  Compare 69 and -62
  Swap 69 and -62
  List after swap: [-95, -59, -62, 69, -93, 77, 13, -7, 97]
  Compare 69 and -93
  Swap 69 and -93
  List after swap: [-95, -59, -62, -93, 69, 77, 13, -7, 97]
  Compare 69 and 77
  No swap needed
  Compare 77 and 13
  Swap 77 and 13
  List after swap: [-95, -59, -62, -93, 69, 13, 77, -7, 97]
  Compare 77 and -7
  Swap 77 and -7
  List after swap: [-95, -59, -62, -93, 69, 13, -7, 77, 97]

Pass 3:
  Compare -95 and -59
  No swap needed
  Compare -59 and -62
  Swap -59 and -62
  List after swap: [-95, -62, -59, -93, 69, 13, -7, 77, 97]
  Compare -59 and -93
  Swap -59 and -93
  List after swap: [-95, -62, -93, -59, 69, 13, -7, 77, 97]
  Compare -59 and 69
  No swap needed
  Compare 69 and 13
  Swap 69 and 13
  List after swap: [-95, -62, -93, -59, 13, 69, -7, 77, 97]
  Compare 69 and -7
  Swap 69 and -7
  List after swap: [-95, -62, -93, -59, 13, -7, 69, 77, 97]

Pass 4:
  Compare -95 and -62
  No swap needed
  Compare -62 and -93
  Swap -62 and -93
  List after swap: [-95, -93, -62, -59, 13, -7, 69, 77, 97]
  Compare -62 and -59
  No swap needed
  Compare -59 and 13
  No swap needed
  Compare 13 and -7
  Swap 13 and -7
  List after swap: [-95, -93, -62, -59, -7, 13, 69, 77, 97]

Pass 5:
  Compare -95 and -93
  No swap needed
  Compare -93 and -62
  No swap needed
  Compare -62 and -59
  No swap needed
  Compare -59 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -93, -62, -59, -7, 13, 69, 77, 97]
</think>

<response>-95, -93, -62, -59, -7, 13, 69, 77, 97</response>


input: Using the bubble sort method, sort -1, 95, 96, 23, 14, -28, 91, 20, 49, 44 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-1, 95, 96, 23, 14, -28, 91, 20, 49, 44]

Pass 1:
  Compare -1 and 95
  No swap needed
  Compare 95 and 96
  No swap needed
  Compare 96 and 23
  Swap 96 and 23
  List after swap: [-1, 95, 23, 96, 14, -28, 91, 20, 49, 44]
  Compare 96 and 14
  Swap 96 and 14
  List after swap: [-1, 95, 23, 14, 96, -28, 91, 20, 49, 44]
  Compare 96 and -28
  Swap 96 and -28
  List after swap: [-1, 95, 23, 14, -28, 96, 91, 20, 49, 44]
  Compare 96 and 91
  Swap 96 and 91
  List after swap: [-1, 95, 23, 14, -28, 91, 96, 20, 49, 44]
  Compare 96 and 20
  Swap 96 and 20
  List after swap: [-1, 95, 23, 14, -28, 91, 20, 96, 49, 44]
  Compare 96 and 49
  Swap 96 and 49
  List after swap: [-1, 95, 23, 14, -28, 91, 20, 49, 96, 44]
  Compare 96 and 44
  Swap 96 and 44
  List after swap: [-1, 95, 23, 14, -28, 91, 20, 49, 44, 96]

Pass 2:
  Compare -1 and 95
  No swap needed
  Compare 95 and 23
  Swap 95 and 23
  List after swap: [-1, 23, 95, 14, -28, 91, 20, 49, 44, 96]
  Compare 95 and 14
  Swap 95 and 14
  List after swap: [-1, 23, 14, 95, -28, 91, 20, 49, 44, 96]
  Compare 95 and -28
  Swap 95 and -28
  List after swap: [-1, 23, 14, -28, 95, 91, 20, 49, 44, 96]
  Compare 95 and 91
  Swap 95 and 91
  List after swap: [-1, 23, 14, -28, 91, 95, 20, 49, 44, 96]
  Compare 95 and 20
  Swap 95 and 20
  List after swap: [-1, 23, 14, -28, 91, 20, 95, 49, 44, 96]
  Compare 95 and 49
  Swap 95 and 49
  List after swap: [-1, 23, 14, -28, 91, 20, 49, 95, 44, 96]
  Compare 95 and 44
  Swap 95 and 44
  List after swap: [-1, 23, 14, -28, 91, 20, 49, 44, 95, 96]

Pass 3:
  Compare -1 and 23
  No swap needed
  Compare 23 and 14
  Swap 23 and 14
  List after swap: [-1, 14, 23, -28, 91, 20, 49, 44, 95, 96]
  Compare 23 and -28
  Swap 23 and -28
  List after swap: [-1, 14, -28, 23, 91, 20, 49, 44, 95, 96]
  Compare 23 and 91
  No swap needed
  Compare 91 and 20
  Swap 91 and 20
  List after swap: [-1, 14, -28, 23, 20, 91, 49, 44, 95, 96]
  Compare 91 and 49
  Swap 91 and 49
  List after swap: [-1, 14, -28, 23, 20, 49, 91, 44, 95, 96]
  Compare 91 and 44
  Swap 91 and 44
  List after swap: [-1, 14, -28, 23, 20, 49, 44, 91, 95, 96]

Pass 4:
  Compare -1 and 14
  No swap needed
  Compare 14 and -28
  Swap 14 and -28
  List after swap: [-1, -28, 14, 23, 20, 49, 44, 91, 95, 96]
  Compare 14 and 23
  No swap needed
  Compare 23 and 20
  Swap 23 and 20
  List after swap: [-1, -28, 14, 20, 23, 49, 44, 91, 95, 96]
  Compare 23 and 49
  No swap needed
  Compare 49 and 44
  Swap 49 and 44
  List after swap: [-1, -28, 14, 20, 23, 44, 49, 91, 95, 96]

Pass 5:
  Compare -1 and -28
  Swap -1 and -28
  List after swap: [-28, -1, 14, 20, 23, 44, 49, 91, 95, 96]
  Compare -1 and 14
  No swap needed
  Compare 14 and 20
  No swap needed
  Compare 20 and 23
  No swap needed
  Compare 23 and 44
  No swap needed

Pass 6:
  Compare -28 and -1
  No swap needed
  Compare -1 and 14
  No swap needed
  Compare 14 and 20
  No swap needed
  Compare 20 and 23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-28, -1, 14, 20, 23, 44, 49, 91, 95, 96]
</think>

<response>-28, -1, 14, 20, 23, 44, 49, 91, 95, 96</response>


input: Arrange the numbers -85, -57, 21, 29, 19, -60, 38, -98, -42 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-85, -57, 21, 29, 19, -60, 38, -98, -42]

Pass 1:
  Compare -85 and -57
  No swap needed
  Compare -57 and 21
  No swap needed
  Compare 21 and 29
  No swap needed
  Compare 29 and 19
  Swap 29 and 19
  List after swap: [-85, -57, 21, 19, 29, -60, 38, -98, -42]
  Compare 29 and -60
  Swap 29 and -60
  List after swap: [-85, -57, 21, 19, -60, 29, 38, -98, -42]
  Compare 29 and 38
  No swap needed
  Compare 38 and -98
  Swap 38 and -98
  List after swap: [-85, -57, 21, 19, -60, 29, -98, 38, -42]
  Compare 38 and -42
  Swap 38 and -42
  List after swap: [-85, -57, 21, 19, -60, 29, -98, -42, 38]

Pass 2:
  Compare -85 and -57
  No swap needed
  Compare -57 and 21
  No swap needed
  Compare 21 and 19
  Swap 21 and 19
  List after swap: [-85, -57, 19, 21, -60, 29, -98, -42, 38]
  Compare 21 and -60
  Swap 21 and -60
  List after swap: [-85, -57, 19, -60, 21, 29, -98, -42, 38]
  Compare 21 and 29
  No swap needed
  Compare 29 and -98
  Swap 29 and -98
  List after swap: [-85, -57, 19, -60, 21, -98, 29, -42, 38]
  Compare 29 and -42
  Swap 29 and -42
  List after swap: [-85, -57, 19, -60, 21, -98, -42, 29, 38]

Pass 3:
  Compare -85 and -57
  No swap needed
  Compare -57 and 19
  No swap needed
  Compare 19 and -60
  Swap 19 and -60
  List after swap: [-85, -57, -60, 19, 21, -98, -42, 29, 38]
  Compare 19 and 21
  No swap needed
  Compare 21 and -98
  Swap 21 and -98
  List after swap: [-85, -57, -60, 19, -98, 21, -42, 29, 38]
  Compare 21 and -42
  Swap 21 and -42
  List after swap: [-85, -57, -60, 19, -98, -42, 21, 29, 38]

Pass 4:
  Compare -85 and -57
  No swap needed
  Compare -57 and -60
  Swap -57 and -60
  List after swap: [-85, -60, -57, 19, -98, -42, 21, 29, 38]
  Compare -57 and 19
  No swap needed
  Compare 19 and -98
  Swap 19 and -98
  List after swap: [-85, -60, -57, -98, 19, -42, 21, 29, 38]
  Compare 19 and -42
  Swap 19 and -42
  List after swap: [-85, -60, -57, -98, -42, 19, 21, 29, 38]

Pass 5:
  Compare -85 and -60
  No swap needed
  Compare -60 and -57
  No swap needed
  Compare -57 and -98
  Swap -57 and -98
  List after swap: [-85, -60, -98, -57, -42, 19, 21, 29, 38]
  Compare -57 and -42
  No swap needed

Pass 6:
  Compare -85 and -60
  No swap needed
  Compare -60 and -98
  Swap -60 and -98
  List after swap: [-85, -98, -60, -57, -42, 19, 21, 29, 38]
  Compare -60 and -57
  No swap needed

Pass 7:
  Compare -85 and -98
  Swap -85 and -98
  List after swap: [-98, -85, -60, -57, -42, 19, 21, 29, 38]
  Compare -85 and -60
  No swap needed

Pass 8:
  Compare -98 and -85
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -85, -60, -57, -42, 19, 21, 29, 38]
</think>

<response>-98, -85, -60, -57, -42, 19, 21, 29, 38</response>


input: Carry out the bubble sort algorithm on 68, -49, -54, 90, 9, 64, 78, -5 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [68, -49, -54, 90, 9, 64, 78, -5]

Pass 1:
  Compare 68 and -49
  Swap 68 and -49
  List after swap: [-49, 68, -54, 90, 9, 64, 78, -5]
  Compare 68 and -54
  Swap 68 and -54
  List after swap: [-49, -54, 68, 90, 9, 64, 78, -5]
  Compare 68 and 90
  No swap needed
  Compare 90 and 9
  Swap 90 and 9
  List after swap: [-49, -54, 68, 9, 90, 64, 78, -5]
  Compare 90 and 64
  Swap 90 and 64
  List after swap: [-49, -54, 68, 9, 64, 90, 78, -5]
  Compare 90 and 78
  Swap 90 and 78
  List after swap: [-49, -54, 68, 9, 64, 78, 90, -5]
  Compare 90 and -5
  Swap 90 and -5
  List after swap: [-49, -54, 68, 9, 64, 78, -5, 90]

Pass 2:
  Compare -49 and -54
  Swap -49 and -54
  List after swap: [-54, -49, 68, 9, 64, 78, -5, 90]
  Compare -49 and 68
  No swap needed
  Compare 68 and 9
  Swap 68 and 9
  List after swap: [-54, -49, 9, 68, 64, 78, -5, 90]
  Compare 68 and 64
  Swap 68 and 64
  List after swap: [-54, -49, 9, 64, 68, 78, -5, 90]
  Compare 68 and 78
  No swap needed
  Compare 78 and -5
  Swap 78 and -5
  List after swap: [-54, -49, 9, 64, 68, -5, 78, 90]

Pass 3:
  Compare -54 and -49
  No swap needed
  Compare -49 and 9
  No swap needed
  Compare 9 and 64
  No swap needed
  Compare 64 and 68
  No swap needed
  Compare 68 and -5
  Swap 68 and -5
  List after swap: [-54, -49, 9, 64, -5, 68, 78, 90]

Pass 4:
  Compare -54 and -49
  No swap needed
  Compare -49 and 9
  No swap needed
  Compare 9 and 64
  No swap needed
  Compare 64 and -5
  Swap 64 and -5
  List after swap: [-54, -49, 9, -5, 64, 68, 78, 90]

Pass 5:
  Compare -54 and -49
  No swap needed
  Compare -49 and 9
  No swap needed
  Compare 9 and -5
  Swap 9 and -5
  List after swap: [-54, -49, -5, 9, 64, 68, 78, 90]

Pass 6:
  Compare -54 and -49
  No swap needed
  Compare -49 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-54, -49, -5, 9, 64, 68, 78, 90]
</think>

<response>-54, -49, -5, 9, 64, 68, 78, 90</response>


input: Use the bubble sort technique to reorder -86, 11, -5, 54, -35, -4, -74 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-86, 11, -5, 54, -35, -4, -74]

Pass 1:
  Compare -86 and 11
  No swap needed
  Compare 11 and -5
  Swap 11 and -5
  List after swap: [-86, -5, 11, 54, -35, -4, -74]
  Compare 11 and 54
  No swap needed
  Compare 54 and -35
  Swap 54 and -35
  List after swap: [-86, -5, 11, -35, 54, -4, -74]
  Compare 54 and -4
  Swap 54 and -4
  List after swap: [-86, -5, 11, -35, -4, 54, -74]
  Compare 54 and -74
  Swap 54 and -74
  List after swap: [-86, -5, 11, -35, -4, -74, 54]

Pass 2:
  Compare -86 and -5
  No swap needed
  Compare -5 and 11
  No swap needed
  Compare 11 and -35
  Swap 11 and -35
  List after swap: [-86, -5, -35, 11, -4, -74, 54]
  Compare 11 and -4
  Swap 11 and -4
  List after swap: [-86, -5, -35, -4, 11, -74, 54]
  Compare 11 and -74
  Swap 11 and -74
  List after swap: [-86, -5, -35, -4, -74, 11, 54]

Pass 3:
  Compare -86 and -5
  No swap needed
  Compare -5 and -35
  Swap -5 and -35
  List after swap: [-86, -35, -5, -4, -74, 11, 54]
  Compare -5 and -4
  No swap needed
  Compare -4 and -74
  Swap -4 and -74
  List after swap: [-86, -35, -5, -74, -4, 11, 54]

Pass 4:
  Compare -86 and -35
  No swap needed
  Compare -35 and -5
  No swap needed
  Compare -5 and -74
  Swap -5 and -74
  List after swap: [-86, -35, -74, -5, -4, 11, 54]

Pass 5:
  Compare -86 and -35
  No swap needed
  Compare -35 and -74
  Swap -35 and -74
  List after swap: [-86, -74, -35, -5, -4, 11, 54]

Pass 6:
  Compare -86 and -74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -74, -35, -5, -4, 11, 54]
</think>

<response>-86, -74, -35, -5, -4, 11, 54</response>


input: Perform a bubble sort on the integers -59, 47, 86, -75, 46, 48, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-59, 47, 86, -75, 46, 48]

Pass 1:
  Compare -59 and 47
  No swap needed
  Compare 47 and 86
  No swap needed
  Compare 86 and -75
  Swap 86 and -75
  List after swap: [-59, 47, -75, 86, 46, 48]
  Compare 86 and 46
  Swap 86 and 46
  List after swap: [-59, 47, -75, 46, 86, 48]
  Compare 86 and 48
  Swap 86 and 48
  List after swap: [-59, 47, -75, 46, 48, 86]

Pass 2:
  Compare -59 and 47
  No swap needed
  Compare 47 and -75
  Swap 47 and -75
  List after swap: [-59, -75, 47, 46, 48, 86]
  Compare 47 and 46
  Swap 47 and 46
  List after swap: [-59, -75, 46, 47, 48, 86]
  Compare 47 and 48
  No swap needed

Pass 3:
  Compare -59 and -75
  Swap -59 and -75
  List after swap: [-75, -59, 46, 47, 48, 86]
  Compare -59 and 46
  No swap needed
  Compare 46 and 47
  No swap needed

Pass 4:
  Compare -75 and -59
  No swap needed
  Compare -59 and 46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -59, 46, 47, 48, 86]
</think>

<response>-75, -59, 46, 47, 48, 86</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 7, -37, 69, -63.

output:
<think>
Initial list: [7, -37, 69, -63]

Pass 1:
  Compare 7 and -37
  Swap 7 and -37
  List after swap: [-37, 7, 69, -63]
  Compare 7 and 69
  No swap needed
  Compare 69 and -63
  Swap 69 and -63
  List after swap: [-37, 7, -63, 69]

Pass 2:
  Compare -37 and 7
  No swap needed
  Compare 7 and -63
  Swap 7 and -63
  List after swap: [-37, -63, 7, 69]

Pass 3:
  Compare -37 and -63
  Swap -37 and -63
  List after swap: [-63, -37, 7, 69]

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

Final sorted list: [-63, -37, 7, 69]
</think>

<response>-63, -37, 7, 69</response>