input: Execute bubble sort to sort 41, -72, 68, 9, 90, -5, 77, 48, -27, -100 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [41, -72, 68, 9, 90, -5, 77, 48, -27, -100]

Pass 1:
  Compare 41 and -72
  Swap 41 and -72
  List after swap: [-72, 41, 68, 9, 90, -5, 77, 48, -27, -100]
  Compare 41 and 68
  No swap needed
  Compare 68 and 9
  Swap 68 and 9
  List after swap: [-72, 41, 9, 68, 90, -5, 77, 48, -27, -100]
  Compare 68 and 90
  No swap needed
  Compare 90 and -5
  Swap 90 and -5
  List after swap: [-72, 41, 9, 68, -5, 90, 77, 48, -27, -100]
  Compare 90 and 77
  Swap 90 and 77
  List after swap: [-72, 41, 9, 68, -5, 77, 90, 48, -27, -100]
  Compare 90 and 48
  Swap 90 and 48
  List after swap: [-72, 41, 9, 68, -5, 77, 48, 90, -27, -100]
  Compare 90 and -27
  Swap 90 and -27
  List after swap: [-72, 41, 9, 68, -5, 77, 48, -27, 90, -100]
  Compare 90 and -100
  Swap 90 and -100
  List after swap: [-72, 41, 9, 68, -5, 77, 48, -27, -100, 90]

Pass 2:
  Compare -72 and 41
  No swap needed
  Compare 41 and 9
  Swap 41 and 9
  List after swap: [-72, 9, 41, 68, -5, 77, 48, -27, -100, 90]
  Compare 41 and 68
  No swap needed
  Compare 68 and -5
  Swap 68 and -5
  List after swap: [-72, 9, 41, -5, 68, 77, 48, -27, -100, 90]
  Compare 68 and 77
  No swap needed
  Compare 77 and 48
  Swap 77 and 48
  List after swap: [-72, 9, 41, -5, 68, 48, 77, -27, -100, 90]
  Compare 77 and -27
  Swap 77 and -27
  List after swap: [-72, 9, 41, -5, 68, 48, -27, 77, -100, 90]
  Compare 77 and -100
  Swap 77 and -100
  List after swap: [-72, 9, 41, -5, 68, 48, -27, -100, 77, 90]

Pass 3:
  Compare -72 and 9
  No swap needed
  Compare 9 and 41
  No swap needed
  Compare 41 and -5
  Swap 41 and -5
  List after swap: [-72, 9, -5, 41, 68, 48, -27, -100, 77, 90]
  Compare 41 and 68
  No swap needed
  Compare 68 and 48
  Swap 68 and 48
  List after swap: [-72, 9, -5, 41, 48, 68, -27, -100, 77, 90]
  Compare 68 and -27
  Swap 68 and -27
  List after swap: [-72, 9, -5, 41, 48, -27, 68, -100, 77, 90]
  Compare 68 and -100
  Swap 68 and -100
  List after swap: [-72, 9, -5, 41, 48, -27, -100, 68, 77, 90]

Pass 4:
  Compare -72 and 9
  No swap needed
  Compare 9 and -5
  Swap 9 and -5
  List after swap: [-72, -5, 9, 41, 48, -27, -100, 68, 77, 90]
  Compare 9 and 41
  No swap needed
  Compare 41 and 48
  No swap needed
  Compare 48 and -27
  Swap 48 and -27
  List after swap: [-72, -5, 9, 41, -27, 48, -100, 68, 77, 90]
  Compare 48 and -100
  Swap 48 and -100
  List after swap: [-72, -5, 9, 41, -27, -100, 48, 68, 77, 90]

Pass 5:
  Compare -72 and -5
  No swap needed
  Compare -5 and 9
  No swap needed
  Compare 9 and 41
  No swap needed
  Compare 41 and -27
  Swap 41 and -27
  List after swap: [-72, -5, 9, -27, 41, -100, 48, 68, 77, 90]
  Compare 41 and -100
  Swap 41 and -100
  List after swap: [-72, -5, 9, -27, -100, 41, 48, 68, 77, 90]

Pass 6:
  Compare -72 and -5
  No swap needed
  Compare -5 and 9
  No swap needed
  Compare 9 and -27
  Swap 9 and -27
  List after swap: [-72, -5, -27, 9, -100, 41, 48, 68, 77, 90]
  Compare 9 and -100
  Swap 9 and -100
  List after swap: [-72, -5, -27, -100, 9, 41, 48, 68, 77, 90]

Pass 7:
  Compare -72 and -5
  No swap needed
  Compare -5 and -27
  Swap -5 and -27
  List after swap: [-72, -27, -5, -100, 9, 41, 48, 68, 77, 90]
  Compare -5 and -100
  Swap -5 and -100
  List after swap: [-72, -27, -100, -5, 9, 41, 48, 68, 77, 90]

Pass 8:
  Compare -72 and -27
  No swap needed
  Compare -27 and -100
  Swap -27 and -100
  List after swap: [-72, -100, -27, -5, 9, 41, 48, 68, 77, 90]

Pass 9:
  Compare -72 and -100
  Swap -72 and -100
  List after swap: [-100, -72, -27, -5, 9, 41, 48, 68, 77, 90]

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

Final sorted list: [-100, -72, -27, -5, 9, 41, 48, 68, 77, 90]
</think>

<response>-100, -72, -27, -5, 9, 41, 48, 68, 77, 90</response>


input: Sort these integers 28, -32, -35, -24, 5, -47, 24, -34 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [28, -32, -35, -24, 5, -47, 24, -34]

Pass 1:
  Compare 28 and -32
  Swap 28 and -32
  List after swap: [-32, 28, -35, -24, 5, -47, 24, -34]
  Compare 28 and -35
  Swap 28 and -35
  List after swap: [-32, -35, 28, -24, 5, -47, 24, -34]
  Compare 28 and -24
  Swap 28 and -24
  List after swap: [-32, -35, -24, 28, 5, -47, 24, -34]
  Compare 28 and 5
  Swap 28 and 5
  List after swap: [-32, -35, -24, 5, 28, -47, 24, -34]
  Compare 28 and -47
  Swap 28 and -47
  List after swap: [-32, -35, -24, 5, -47, 28, 24, -34]
  Compare 28 and 24
  Swap 28 and 24
  List after swap: [-32, -35, -24, 5, -47, 24, 28, -34]
  Compare 28 and -34
  Swap 28 and -34
  List after swap: [-32, -35, -24, 5, -47, 24, -34, 28]

Pass 2:
  Compare -32 and -35
  Swap -32 and -35
  List after swap: [-35, -32, -24, 5, -47, 24, -34, 28]
  Compare -32 and -24
  No swap needed
  Compare -24 and 5
  No swap needed
  Compare 5 and -47
  Swap 5 and -47
  List after swap: [-35, -32, -24, -47, 5, 24, -34, 28]
  Compare 5 and 24
  No swap needed
  Compare 24 and -34
  Swap 24 and -34
  List after swap: [-35, -32, -24, -47, 5, -34, 24, 28]

Pass 3:
  Compare -35 and -32
  No swap needed
  Compare -32 and -24
  No swap needed
  Compare -24 and -47
  Swap -24 and -47
  List after swap: [-35, -32, -47, -24, 5, -34, 24, 28]
  Compare -24 and 5
  No swap needed
  Compare 5 and -34
  Swap 5 and -34
  List after swap: [-35, -32, -47, -24, -34, 5, 24, 28]

Pass 4:
  Compare -35 and -32
  No swap needed
  Compare -32 and -47
  Swap -32 and -47
  List after swap: [-35, -47, -32, -24, -34, 5, 24, 28]
  Compare -32 and -24
  No swap needed
  Compare -24 and -34
  Swap -24 and -34
  List after swap: [-35, -47, -32, -34, -24, 5, 24, 28]

Pass 5:
  Compare -35 and -47
  Swap -35 and -47
  List after swap: [-47, -35, -32, -34, -24, 5, 24, 28]
  Compare -35 and -32
  No swap needed
  Compare -32 and -34
  Swap -32 and -34
  List after swap: [-47, -35, -34, -32, -24, 5, 24, 28]

Pass 6:
  Compare -47 and -35
  No swap needed
  Compare -35 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-47, -35, -34, -32, -24, 5, 24, 28]
</think>

<response>-47, -35, -34, -32, -24, 5, 24, 28</response>


input: Arrange the numbers -2, 89, -22 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-2, 89, -22]

Pass 1:
  Compare -2 and 89
  No swap needed
  Compare 89 and -22
  Swap 89 and -22
  List after swap: [-2, -22, 89]

Pass 2:
  Compare -2 and -22
  Swap -2 and -22
  List after swap: [-22, -2, 89]

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

Final sorted list: [-22, -2, 89]
</think>

<response>-22, -2, 89</response>


input: Execute bubble sort to sort -51, 45, -83, -98, 89, -80, -47, -78, 90, -86 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-51, 45, -83, -98, 89, -80, -47, -78, 90, -86]

Pass 1:
  Compare -51 and 45
  No swap needed
  Compare 45 and -83
  Swap 45 and -83
  List after swap: [-51, -83, 45, -98, 89, -80, -47, -78, 90, -86]
  Compare 45 and -98
  Swap 45 and -98
  List after swap: [-51, -83, -98, 45, 89, -80, -47, -78, 90, -86]
  Compare 45 and 89
  No swap needed
  Compare 89 and -80
  Swap 89 and -80
  List after swap: [-51, -83, -98, 45, -80, 89, -47, -78, 90, -86]
  Compare 89 and -47
  Swap 89 and -47
  List after swap: [-51, -83, -98, 45, -80, -47, 89, -78, 90, -86]
  Compare 89 and -78
  Swap 89 and -78
  List after swap: [-51, -83, -98, 45, -80, -47, -78, 89, 90, -86]
  Compare 89 and 90
  No swap needed
  Compare 90 and -86
  Swap 90 and -86
  List after swap: [-51, -83, -98, 45, -80, -47, -78, 89, -86, 90]

Pass 2:
  Compare -51 and -83
  Swap -51 and -83
  List after swap: [-83, -51, -98, 45, -80, -47, -78, 89, -86, 90]
  Compare -51 and -98
  Swap -51 and -98
  List after swap: [-83, -98, -51, 45, -80, -47, -78, 89, -86, 90]
  Compare -51 and 45
  No swap needed
  Compare 45 and -80
  Swap 45 and -80
  List after swap: [-83, -98, -51, -80, 45, -47, -78, 89, -86, 90]
  Compare 45 and -47
  Swap 45 and -47
  List after swap: [-83, -98, -51, -80, -47, 45, -78, 89, -86, 90]
  Compare 45 and -78
  Swap 45 and -78
  List after swap: [-83, -98, -51, -80, -47, -78, 45, 89, -86, 90]
  Compare 45 and 89
  No swap needed
  Compare 89 and -86
  Swap 89 and -86
  List after swap: [-83, -98, -51, -80, -47, -78, 45, -86, 89, 90]

Pass 3:
  Compare -83 and -98
  Swap -83 and -98
  List after swap: [-98, -83, -51, -80, -47, -78, 45, -86, 89, 90]
  Compare -83 and -51
  No swap needed
  Compare -51 and -80
  Swap -51 and -80
  List after swap: [-98, -83, -80, -51, -47, -78, 45, -86, 89, 90]
  Compare -51 and -47
  No swap needed
  Compare -47 and -78
  Swap -47 and -78
  List after swap: [-98, -83, -80, -51, -78, -47, 45, -86, 89, 90]
  Compare -47 and 45
  No swap needed
  Compare 45 and -86
  Swap 45 and -86
  List after swap: [-98, -83, -80, -51, -78, -47, -86, 45, 89, 90]

Pass 4:
  Compare -98 and -83
  No swap needed
  Compare -83 and -80
  No swap needed
  Compare -80 and -51
  No swap needed
  Compare -51 and -78
  Swap -51 and -78
  List after swap: [-98, -83, -80, -78, -51, -47, -86, 45, 89, 90]
  Compare -51 and -47
  No swap needed
  Compare -47 and -86
  Swap -47 and -86
  List after swap: [-98, -83, -80, -78, -51, -86, -47, 45, 89, 90]

Pass 5:
  Compare -98 and -83
  No swap needed
  Compare -83 and -80
  No swap needed
  Compare -80 and -78
  No swap needed
  Compare -78 and -51
  No swap needed
  Compare -51 and -86
  Swap -51 and -86
  List after swap: [-98, -83, -80, -78, -86, -51, -47, 45, 89, 90]

Pass 6:
  Compare -98 and -83
  No swap needed
  Compare -83 and -80
  No swap needed
  Compare -80 and -78
  No swap needed
  Compare -78 and -86
  Swap -78 and -86
  List after swap: [-98, -83, -80, -86, -78, -51, -47, 45, 89, 90]

Pass 7:
  Compare -98 and -83
  No swap needed
  Compare -83 and -80
  No swap needed
  Compare -80 and -86
  Swap -80 and -86
  List after swap: [-98, -83, -86, -80, -78, -51, -47, 45, 89, 90]

Pass 8:
  Compare -98 and -83
  No swap needed
  Compare -83 and -86
  Swap -83 and -86
  List after swap: [-98, -86, -83, -80, -78, -51, -47, 45, 89, 90]

Pass 9:
  Compare -98 and -86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -86, -83, -80, -78, -51, -47, 45, 89, 90]
</think>

<response>-98, -86, -83, -80, -78, -51, -47, 45, 89, 90</response>


input: Carry out the bubble sort algorithm on 31, -37, -40, -74, -65, 10, -83, 90 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [31, -37, -40, -74, -65, 10, -83, 90]

Pass 1:
  Compare 31 and -37
  Swap 31 and -37
  List after swap: [-37, 31, -40, -74, -65, 10, -83, 90]
  Compare 31 and -40
  Swap 31 and -40
  List after swap: [-37, -40, 31, -74, -65, 10, -83, 90]
  Compare 31 and -74
  Swap 31 and -74
  List after swap: [-37, -40, -74, 31, -65, 10, -83, 90]
  Compare 31 and -65
  Swap 31 and -65
  List after swap: [-37, -40, -74, -65, 31, 10, -83, 90]
  Compare 31 and 10
  Swap 31 and 10
  List after swap: [-37, -40, -74, -65, 10, 31, -83, 90]
  Compare 31 and -83
  Swap 31 and -83
  List after swap: [-37, -40, -74, -65, 10, -83, 31, 90]
  Compare 31 and 90
  No swap needed

Pass 2:
  Compare -37 and -40
  Swap -37 and -40
  List after swap: [-40, -37, -74, -65, 10, -83, 31, 90]
  Compare -37 and -74
  Swap -37 and -74
  List after swap: [-40, -74, -37, -65, 10, -83, 31, 90]
  Compare -37 and -65
  Swap -37 and -65
  List after swap: [-40, -74, -65, -37, 10, -83, 31, 90]
  Compare -37 and 10
  No swap needed
  Compare 10 and -83
  Swap 10 and -83
  List after swap: [-40, -74, -65, -37, -83, 10, 31, 90]
  Compare 10 and 31
  No swap needed

Pass 3:
  Compare -40 and -74
  Swap -40 and -74
  List after swap: [-74, -40, -65, -37, -83, 10, 31, 90]
  Compare -40 and -65
  Swap -40 and -65
  List after swap: [-74, -65, -40, -37, -83, 10, 31, 90]
  Compare -40 and -37
  No swap needed
  Compare -37 and -83
  Swap -37 and -83
  List after swap: [-74, -65, -40, -83, -37, 10, 31, 90]
  Compare -37 and 10
  No swap needed

Pass 4:
  Compare -74 and -65
  No swap needed
  Compare -65 and -40
  No swap needed
  Compare -40 and -83
  Swap -40 and -83
  List after swap: [-74, -65, -83, -40, -37, 10, 31, 90]
  Compare -40 and -37
  No swap needed

Pass 5:
  Compare -74 and -65
  No swap needed
  Compare -65 and -83
  Swap -65 and -83
  List after swap: [-74, -83, -65, -40, -37, 10, 31, 90]
  Compare -65 and -40
  No swap needed

Pass 6:
  Compare -74 and -83
  Swap -74 and -83
  List after swap: [-83, -74, -65, -40, -37, 10, 31, 90]
  Compare -74 and -65
  No swap needed

Pass 7:
  Compare -83 and -74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -74, -65, -40, -37, 10, 31, 90]
</think>

<response>-83, -74, -65, -40, -37, 10, 31, 90</response>


input: Arrange the numbers 65, -47, -34, -27, 75, 12, -93 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [65, -47, -34, -27, 75, 12, -93]

Pass 1:
  Compare 65 and -47
  Swap 65 and -47
  List after swap: [-47, 65, -34, -27, 75, 12, -93]
  Compare 65 and -34
  Swap 65 and -34
  List after swap: [-47, -34, 65, -27, 75, 12, -93]
  Compare 65 and -27
  Swap 65 and -27
  List after swap: [-47, -34, -27, 65, 75, 12, -93]
  Compare 65 and 75
  No swap needed
  Compare 75 and 12
  Swap 75 and 12
  List after swap: [-47, -34, -27, 65, 12, 75, -93]
  Compare 75 and -93
  Swap 75 and -93
  List after swap: [-47, -34, -27, 65, 12, -93, 75]

Pass 2:
  Compare -47 and -34
  No swap needed
  Compare -34 and -27
  No swap needed
  Compare -27 and 65
  No swap needed
  Compare 65 and 12
  Swap 65 and 12
  List after swap: [-47, -34, -27, 12, 65, -93, 75]
  Compare 65 and -93
  Swap 65 and -93
  List after swap: [-47, -34, -27, 12, -93, 65, 75]

Pass 3:
  Compare -47 and -34
  No swap needed
  Compare -34 and -27
  No swap needed
  Compare -27 and 12
  No swap needed
  Compare 12 and -93
  Swap 12 and -93
  List after swap: [-47, -34, -27, -93, 12, 65, 75]

Pass 4:
  Compare -47 and -34
  No swap needed
  Compare -34 and -27
  No swap needed
  Compare -27 and -93
  Swap -27 and -93
  List after swap: [-47, -34, -93, -27, 12, 65, 75]

Pass 5:
  Compare -47 and -34
  No swap needed
  Compare -34 and -93
  Swap -34 and -93
  List after swap: [-47, -93, -34, -27, 12, 65, 75]

Pass 6:
  Compare -47 and -93
  Swap -47 and -93
  List after swap: [-93, -47, -34, -27, 12, 65, 75]

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

Final sorted list: [-93, -47, -34, -27, 12, 65, 75]
</think>

<response>-93, -47, -34, -27, 12, 65, 75</response>


input: Use the bubble sort technique to reorder -5, -24, -76, -1, 6, 62, 81, -92, -17 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-5, -24, -76, -1, 6, 62, 81, -92, -17]

Pass 1:
  Compare -5 and -24
  Swap -5 and -24
  List after swap: [-24, -5, -76, -1, 6, 62, 81, -92, -17]
  Compare -5 and -76
  Swap -5 and -76
  List after swap: [-24, -76, -5, -1, 6, 62, 81, -92, -17]
  Compare -5 and -1
  No swap needed
  Compare -1 and 6
  No swap needed
  Compare 6 and 62
  No swap needed
  Compare 62 and 81
  No swap needed
  Compare 81 and -92
  Swap 81 and -92
  List after swap: [-24, -76, -5, -1, 6, 62, -92, 81, -17]
  Compare 81 and -17
  Swap 81 and -17
  List after swap: [-24, -76, -5, -1, 6, 62, -92, -17, 81]

Pass 2:
  Compare -24 and -76
  Swap -24 and -76
  List after swap: [-76, -24, -5, -1, 6, 62, -92, -17, 81]
  Compare -24 and -5
  No swap needed
  Compare -5 and -1
  No swap needed
  Compare -1 and 6
  No swap needed
  Compare 6 and 62
  No swap needed
  Compare 62 and -92
  Swap 62 and -92
  List after swap: [-76, -24, -5, -1, 6, -92, 62, -17, 81]
  Compare 62 and -17
  Swap 62 and -17
  List after swap: [-76, -24, -5, -1, 6, -92, -17, 62, 81]

Pass 3:
  Compare -76 and -24
  No swap needed
  Compare -24 and -5
  No swap needed
  Compare -5 and -1
  No swap needed
  Compare -1 and 6
  No swap needed
  Compare 6 and -92
  Swap 6 and -92
  List after swap: [-76, -24, -5, -1, -92, 6, -17, 62, 81]
  Compare 6 and -17
  Swap 6 and -17
  List after swap: [-76, -24, -5, -1, -92, -17, 6, 62, 81]

Pass 4:
  Compare -76 and -24
  No swap needed
  Compare -24 and -5
  No swap needed
  Compare -5 and -1
  No swap needed
  Compare -1 and -92
  Swap -1 and -92
  List after swap: [-76, -24, -5, -92, -1, -17, 6, 62, 81]
  Compare -1 and -17
  Swap -1 and -17
  List after swap: [-76, -24, -5, -92, -17, -1, 6, 62, 81]

Pass 5:
  Compare -76 and -24
  No swap needed
  Compare -24 and -5
  No swap needed
  Compare -5 and -92
  Swap -5 and -92
  List after swap: [-76, -24, -92, -5, -17, -1, 6, 62, 81]
  Compare -5 and -17
  Swap -5 and -17
  List after swap: [-76, -24, -92, -17, -5, -1, 6, 62, 81]

Pass 6:
  Compare -76 and -24
  No swap needed
  Compare -24 and -92
  Swap -24 and -92
  List after swap: [-76, -92, -24, -17, -5, -1, 6, 62, 81]
  Compare -24 and -17
  No swap needed

Pass 7:
  Compare -76 and -92
  Swap -76 and -92
  List after swap: [-92, -76, -24, -17, -5, -1, 6, 62, 81]
  Compare -76 and -24
  No swap needed

Pass 8:
  Compare -92 and -76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -76, -24, -17, -5, -1, 6, 62, 81]
</think>

<response>-92, -76, -24, -17, -5, -1, 6, 62, 81</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -46, -36, 92.

output:
<think>
Initial list: [-46, -36, 92]

Pass 1:
  Compare -46 and -36
  No swap needed
  Compare -36 and 92
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-46, -36, 92]
</think>

<response>-46, -36, 92</response>


input: Using the bubble sort method, sort 98, -34, -54, -12, -58, -43, -39 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [98, -34, -54, -12, -58, -43, -39]

Pass 1:
  Compare 98 and -34
  Swap 98 and -34
  List after swap: [-34, 98, -54, -12, -58, -43, -39]
  Compare 98 and -54
  Swap 98 and -54
  List after swap: [-34, -54, 98, -12, -58, -43, -39]
  Compare 98 and -12
  Swap 98 and -12
  List after swap: [-34, -54, -12, 98, -58, -43, -39]
  Compare 98 and -58
  Swap 98 and -58
  List after swap: [-34, -54, -12, -58, 98, -43, -39]
  Compare 98 and -43
  Swap 98 and -43
  List after swap: [-34, -54, -12, -58, -43, 98, -39]
  Compare 98 and -39
  Swap 98 and -39
  List after swap: [-34, -54, -12, -58, -43, -39, 98]

Pass 2:
  Compare -34 and -54
  Swap -34 and -54
  List after swap: [-54, -34, -12, -58, -43, -39, 98]
  Compare -34 and -12
  No swap needed
  Compare -12 and -58
  Swap -12 and -58
  List after swap: [-54, -34, -58, -12, -43, -39, 98]
  Compare -12 and -43
  Swap -12 and -43
  List after swap: [-54, -34, -58, -43, -12, -39, 98]
  Compare -12 and -39
  Swap -12 and -39
  List after swap: [-54, -34, -58, -43, -39, -12, 98]

Pass 3:
  Compare -54 and -34
  No swap needed
  Compare -34 and -58
  Swap -34 and -58
  List after swap: [-54, -58, -34, -43, -39, -12, 98]
  Compare -34 and -43
  Swap -34 and -43
  List after swap: [-54, -58, -43, -34, -39, -12, 98]
  Compare -34 and -39
  Swap -34 and -39
  List after swap: [-54, -58, -43, -39, -34, -12, 98]

Pass 4:
  Compare -54 and -58
  Swap -54 and -58
  List after swap: [-58, -54, -43, -39, -34, -12, 98]
  Compare -54 and -43
  No swap needed
  Compare -43 and -39
  No swap needed

Pass 5:
  Compare -58 and -54
  No swap needed
  Compare -54 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -54, -43, -39, -34, -12, 98]
</think>

<response>-58, -54, -43, -39, -34, -12, 98</response>


input: Perform a bubble sort on the integers -27, -72, 1, -51, 12, 87, -63, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-27, -72, 1, -51, 12, 87, -63]

Pass 1:
  Compare -27 and -72
  Swap -27 and -72
  List after swap: [-72, -27, 1, -51, 12, 87, -63]
  Compare -27 and 1
  No swap needed
  Compare 1 and -51
  Swap 1 and -51
  List after swap: [-72, -27, -51, 1, 12, 87, -63]
  Compare 1 and 12
  No swap needed
  Compare 12 and 87
  No swap needed
  Compare 87 and -63
  Swap 87 and -63
  List after swap: [-72, -27, -51, 1, 12, -63, 87]

Pass 2:
  Compare -72 and -27
  No swap needed
  Compare -27 and -51
  Swap -27 and -51
  List after swap: [-72, -51, -27, 1, 12, -63, 87]
  Compare -27 and 1
  No swap needed
  Compare 1 and 12
  No swap needed
  Compare 12 and -63
  Swap 12 and -63
  List after swap: [-72, -51, -27, 1, -63, 12, 87]

Pass 3:
  Compare -72 and -51
  No swap needed
  Compare -51 and -27
  No swap needed
  Compare -27 and 1
  No swap needed
  Compare 1 and -63
  Swap 1 and -63
  List after swap: [-72, -51, -27, -63, 1, 12, 87]

Pass 4:
  Compare -72 and -51
  No swap needed
  Compare -51 and -27
  No swap needed
  Compare -27 and -63
  Swap -27 and -63
  List after swap: [-72, -51, -63, -27, 1, 12, 87]

Pass 5:
  Compare -72 and -51
  No swap needed
  Compare -51 and -63
  Swap -51 and -63
  List after swap: [-72, -63, -51, -27, 1, 12, 87]

Pass 6:
  Compare -72 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -63, -51, -27, 1, 12, 87]
</think>

<response>-72, -63, -51, -27, 1, 12, 87</response>


input: Implement bubble sort on -69, 22, -70, 4, -95, -51, 52, 36, 27, -28 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-69, 22, -70, 4, -95, -51, 52, 36, 27, -28]

Pass 1:
  Compare -69 and 22
  No swap needed
  Compare 22 and -70
  Swap 22 and -70
  List after swap: [-69, -70, 22, 4, -95, -51, 52, 36, 27, -28]
  Compare 22 and 4
  Swap 22 and 4
  List after swap: [-69, -70, 4, 22, -95, -51, 52, 36, 27, -28]
  Compare 22 and -95
  Swap 22 and -95
  List after swap: [-69, -70, 4, -95, 22, -51, 52, 36, 27, -28]
  Compare 22 and -51
  Swap 22 and -51
  List after swap: [-69, -70, 4, -95, -51, 22, 52, 36, 27, -28]
  Compare 22 and 52
  No swap needed
  Compare 52 and 36
  Swap 52 and 36
  List after swap: [-69, -70, 4, -95, -51, 22, 36, 52, 27, -28]
  Compare 52 and 27
  Swap 52 and 27
  List after swap: [-69, -70, 4, -95, -51, 22, 36, 27, 52, -28]
  Compare 52 and -28
  Swap 52 and -28
  List after swap: [-69, -70, 4, -95, -51, 22, 36, 27, -28, 52]

Pass 2:
  Compare -69 and -70
  Swap -69 and -70
  List after swap: [-70, -69, 4, -95, -51, 22, 36, 27, -28, 52]
  Compare -69 and 4
  No swap needed
  Compare 4 and -95
  Swap 4 and -95
  List after swap: [-70, -69, -95, 4, -51, 22, 36, 27, -28, 52]
  Compare 4 and -51
  Swap 4 and -51
  List after swap: [-70, -69, -95, -51, 4, 22, 36, 27, -28, 52]
  Compare 4 and 22
  No swap needed
  Compare 22 and 36
  No swap needed
  Compare 36 and 27
  Swap 36 and 27
  List after swap: [-70, -69, -95, -51, 4, 22, 27, 36, -28, 52]
  Compare 36 and -28
  Swap 36 and -28
  List after swap: [-70, -69, -95, -51, 4, 22, 27, -28, 36, 52]

Pass 3:
  Compare -70 and -69
  No swap needed
  Compare -69 and -95
  Swap -69 and -95
  List after swap: [-70, -95, -69, -51, 4, 22, 27, -28, 36, 52]
  Compare -69 and -51
  No swap needed
  Compare -51 and 4
  No swap needed
  Compare 4 and 22
  No swap needed
  Compare 22 and 27
  No swap needed
  Compare 27 and -28
  Swap 27 and -28
  List after swap: [-70, -95, -69, -51, 4, 22, -28, 27, 36, 52]

Pass 4:
  Compare -70 and -95
  Swap -70 and -95
  List after swap: [-95, -70, -69, -51, 4, 22, -28, 27, 36, 52]
  Compare -70 and -69
  No swap needed
  Compare -69 and -51
  No swap needed
  Compare -51 and 4
  No swap needed
  Compare 4 and 22
  No swap needed
  Compare 22 and -28
  Swap 22 and -28
  List after swap: [-95, -70, -69, -51, 4, -28, 22, 27, 36, 52]

Pass 5:
  Compare -95 and -70
  No swap needed
  Compare -70 and -69
  No swap needed
  Compare -69 and -51
  No swap needed
  Compare -51 and 4
  No swap needed
  Compare 4 and -28
  Swap 4 and -28
  List after swap: [-95, -70, -69, -51, -28, 4, 22, 27, 36, 52]

Pass 6:
  Compare -95 and -70
  No swap needed
  Compare -70 and -69
  No swap needed
  Compare -69 and -51
  No swap needed
  Compare -51 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -70, -69, -51, -28, 4, 22, 27, 36, 52]
</think>

<response>-95, -70, -69, -51, -28, 4, 22, 27, 36, 52</response>


input: Demonstrate how bubble sort orders the integers -65, 80, -97 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-65, 80, -97]

Pass 1:
  Compare -65 and 80
  No swap needed
  Compare 80 and -97
  Swap 80 and -97
  List after swap: [-65, -97, 80]

Pass 2:
  Compare -65 and -97
  Swap -65 and -97
  List after swap: [-97, -65, 80]

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

Final sorted list: [-97, -65, 80]
</think>

<response>-97, -65, 80</response>


input: Execute bubble sort to sort 85, 4 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [85, 4]

Pass 1:
  Compare 85 and 4
  Swap 85 and 4
  List after swap: [4, 85]

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

Final sorted list: [4, 85]
</think>

<response>4, 85</response>


input: Sort these integers -89, 35, 25, 32, -51 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-89, 35, 25, 32, -51]

Pass 1:
  Compare -89 and 35
  No swap needed
  Compare 35 and 25
  Swap 35 and 25
  List after swap: [-89, 25, 35, 32, -51]
  Compare 35 and 32
  Swap 35 and 32
  List after swap: [-89, 25, 32, 35, -51]
  Compare 35 and -51
  Swap 35 and -51
  List after swap: [-89, 25, 32, -51, 35]

Pass 2:
  Compare -89 and 25
  No swap needed
  Compare 25 and 32
  No swap needed
  Compare 32 and -51
  Swap 32 and -51
  List after swap: [-89, 25, -51, 32, 35]

Pass 3:
  Compare -89 and 25
  No swap needed
  Compare 25 and -51
  Swap 25 and -51
  List after swap: [-89, -51, 25, 32, 35]

Pass 4:
  Compare -89 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -51, 25, 32, 35]
</think>

<response>-89, -51, 25, 32, 35</response>


input: Carry out the bubble sort algorithm on -27, -10, 46, 76, 59, 2, 14, 64 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-27, -10, 46, 76, 59, 2, 14, 64]

Pass 1:
  Compare -27 and -10
  No swap needed
  Compare -10 and 46
  No swap needed
  Compare 46 and 76
  No swap needed
  Compare 76 and 59
  Swap 76 and 59
  List after swap: [-27, -10, 46, 59, 76, 2, 14, 64]
  Compare 76 and 2
  Swap 76 and 2
  List after swap: [-27, -10, 46, 59, 2, 76, 14, 64]
  Compare 76 and 14
  Swap 76 and 14
  List after swap: [-27, -10, 46, 59, 2, 14, 76, 64]
  Compare 76 and 64
  Swap 76 and 64
  List after swap: [-27, -10, 46, 59, 2, 14, 64, 76]

Pass 2:
  Compare -27 and -10
  No swap needed
  Compare -10 and 46
  No swap needed
  Compare 46 and 59
  No swap needed
  Compare 59 and 2
  Swap 59 and 2
  List after swap: [-27, -10, 46, 2, 59, 14, 64, 76]
  Compare 59 and 14
  Swap 59 and 14
  List after swap: [-27, -10, 46, 2, 14, 59, 64, 76]
  Compare 59 and 64
  No swap needed

Pass 3:
  Compare -27 and -10
  No swap needed
  Compare -10 and 46
  No swap needed
  Compare 46 and 2
  Swap 46 and 2
  List after swap: [-27, -10, 2, 46, 14, 59, 64, 76]
  Compare 46 and 14
  Swap 46 and 14
  List after swap: [-27, -10, 2, 14, 46, 59, 64, 76]
  Compare 46 and 59
  No swap needed

Pass 4:
  Compare -27 and -10
  No swap needed
  Compare -10 and 2
  No swap needed
  Compare 2 and 14
  No swap needed
  Compare 14 and 46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-27, -10, 2, 14, 46, 59, 64, 76]
</think>

<response>-27, -10, 2, 14, 46, 59, 64, 76</response>


input: Sort the list 43, -71, 8, -1, -37, -80, 67 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [43, -71, 8, -1, -37, -80, 67]

Pass 1:
  Compare 43 and -71
  Swap 43 and -71
  List after swap: [-71, 43, 8, -1, -37, -80, 67]
  Compare 43 and 8
  Swap 43 and 8
  List after swap: [-71, 8, 43, -1, -37, -80, 67]
  Compare 43 and -1
  Swap 43 and -1
  List after swap: [-71, 8, -1, 43, -37, -80, 67]
  Compare 43 and -37
  Swap 43 and -37
  List after swap: [-71, 8, -1, -37, 43, -80, 67]
  Compare 43 and -80
  Swap 43 and -80
  List after swap: [-71, 8, -1, -37, -80, 43, 67]
  Compare 43 and 67
  No swap needed

Pass 2:
  Compare -71 and 8
  No swap needed
  Compare 8 and -1
  Swap 8 and -1
  List after swap: [-71, -1, 8, -37, -80, 43, 67]
  Compare 8 and -37
  Swap 8 and -37
  List after swap: [-71, -1, -37, 8, -80, 43, 67]
  Compare 8 and -80
  Swap 8 and -80
  List after swap: [-71, -1, -37, -80, 8, 43, 67]
  Compare 8 and 43
  No swap needed

Pass 3:
  Compare -71 and -1
  No swap needed
  Compare -1 and -37
  Swap -1 and -37
  List after swap: [-71, -37, -1, -80, 8, 43, 67]
  Compare -1 and -80
  Swap -1 and -80
  List after swap: [-71, -37, -80, -1, 8, 43, 67]
  Compare -1 and 8
  No swap needed

Pass 4:
  Compare -71 and -37
  No swap needed
  Compare -37 and -80
  Swap -37 and -80
  List after swap: [-71, -80, -37, -1, 8, 43, 67]
  Compare -37 and -1
  No swap needed

Pass 5:
  Compare -71 and -80
  Swap -71 and -80
  List after swap: [-80, -71, -37, -1, 8, 43, 67]
  Compare -71 and -37
  No swap needed

Pass 6:
  Compare -80 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -71, -37, -1, 8, 43, 67]
</think>

<response>-80, -71, -37, -1, 8, 43, 67</response>


input: Use the bubble sort technique to reorder 71, 88, -44, -53, 3, -77, -92 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [71, 88, -44, -53, 3, -77, -92]

Pass 1:
  Compare 71 and 88
  No swap needed
  Compare 88 and -44
  Swap 88 and -44
  List after swap: [71, -44, 88, -53, 3, -77, -92]
  Compare 88 and -53
  Swap 88 and -53
  List after swap: [71, -44, -53, 88, 3, -77, -92]
  Compare 88 and 3
  Swap 88 and 3
  List after swap: [71, -44, -53, 3, 88, -77, -92]
  Compare 88 and -77
  Swap 88 and -77
  List after swap: [71, -44, -53, 3, -77, 88, -92]
  Compare 88 and -92
  Swap 88 and -92
  List after swap: [71, -44, -53, 3, -77, -92, 88]

Pass 2:
  Compare 71 and -44
  Swap 71 and -44
  List after swap: [-44, 71, -53, 3, -77, -92, 88]
  Compare 71 and -53
  Swap 71 and -53
  List after swap: [-44, -53, 71, 3, -77, -92, 88]
  Compare 71 and 3
  Swap 71 and 3
  List after swap: [-44, -53, 3, 71, -77, -92, 88]
  Compare 71 and -77
  Swap 71 and -77
  List after swap: [-44, -53, 3, -77, 71, -92, 88]
  Compare 71 and -92
  Swap 71 and -92
  List after swap: [-44, -53, 3, -77, -92, 71, 88]

Pass 3:
  Compare -44 and -53
  Swap -44 and -53
  List after swap: [-53, -44, 3, -77, -92, 71, 88]
  Compare -44 and 3
  No swap needed
  Compare 3 and -77
  Swap 3 and -77
  List after swap: [-53, -44, -77, 3, -92, 71, 88]
  Compare 3 and -92
  Swap 3 and -92
  List after swap: [-53, -44, -77, -92, 3, 71, 88]

Pass 4:
  Compare -53 and -44
  No swap needed
  Compare -44 and -77
  Swap -44 and -77
  List after swap: [-53, -77, -44, -92, 3, 71, 88]
  Compare -44 and -92
  Swap -44 and -92
  List after swap: [-53, -77, -92, -44, 3, 71, 88]

Pass 5:
  Compare -53 and -77
  Swap -53 and -77
  List after swap: [-77, -53, -92, -44, 3, 71, 88]
  Compare -53 and -92
  Swap -53 and -92
  List after swap: [-77, -92, -53, -44, 3, 71, 88]

Pass 6:
  Compare -77 and -92
  Swap -77 and -92
  List after swap: [-92, -77, -53, -44, 3, 71, 88]

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

Final sorted list: [-92, -77, -53, -44, 3, 71, 88]
</think>

<response>-92, -77, -53, -44, 3, 71, 88</response>


input: Carry out the bubble sort algorithm on 4, -27, -74 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [4, -27, -74]

Pass 1:
  Compare 4 and -27
  Swap 4 and -27
  List after swap: [-27, 4, -74]
  Compare 4 and -74
  Swap 4 and -74
  List after swap: [-27, -74, 4]

Pass 2:
  Compare -27 and -74
  Swap -27 and -74
  List after swap: [-74, -27, 4]

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

Final sorted list: [-74, -27, 4]
</think>

<response>-74, -27, 4</response>


input: Using the bubble sort method, sort -6, 41, -3, 46, 48, -54, -92, 85, 4 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-6, 41, -3, 46, 48, -54, -92, 85, 4]

Pass 1:
  Compare -6 and 41
  No swap needed
  Compare 41 and -3
  Swap 41 and -3
  List after swap: [-6, -3, 41, 46, 48, -54, -92, 85, 4]
  Compare 41 and 46
  No swap needed
  Compare 46 and 48
  No swap needed
  Compare 48 and -54
  Swap 48 and -54
  List after swap: [-6, -3, 41, 46, -54, 48, -92, 85, 4]
  Compare 48 and -92
  Swap 48 and -92
  List after swap: [-6, -3, 41, 46, -54, -92, 48, 85, 4]
  Compare 48 and 85
  No swap needed
  Compare 85 and 4
  Swap 85 and 4
  List after swap: [-6, -3, 41, 46, -54, -92, 48, 4, 85]

Pass 2:
  Compare -6 and -3
  No swap needed
  Compare -3 and 41
  No swap needed
  Compare 41 and 46
  No swap needed
  Compare 46 and -54
  Swap 46 and -54
  List after swap: [-6, -3, 41, -54, 46, -92, 48, 4, 85]
  Compare 46 and -92
  Swap 46 and -92
  List after swap: [-6, -3, 41, -54, -92, 46, 48, 4, 85]
  Compare 46 and 48
  No swap needed
  Compare 48 and 4
  Swap 48 and 4
  List after swap: [-6, -3, 41, -54, -92, 46, 4, 48, 85]

Pass 3:
  Compare -6 and -3
  No swap needed
  Compare -3 and 41
  No swap needed
  Compare 41 and -54
  Swap 41 and -54
  List after swap: [-6, -3, -54, 41, -92, 46, 4, 48, 85]
  Compare 41 and -92
  Swap 41 and -92
  List after swap: [-6, -3, -54, -92, 41, 46, 4, 48, 85]
  Compare 41 and 46
  No swap needed
  Compare 46 and 4
  Swap 46 and 4
  List after swap: [-6, -3, -54, -92, 41, 4, 46, 48, 85]

Pass 4:
  Compare -6 and -3
  No swap needed
  Compare -3 and -54
  Swap -3 and -54
  List after swap: [-6, -54, -3, -92, 41, 4, 46, 48, 85]
  Compare -3 and -92
  Swap -3 and -92
  List after swap: [-6, -54, -92, -3, 41, 4, 46, 48, 85]
  Compare -3 and 41
  No swap needed
  Compare 41 and 4
  Swap 41 and 4
  List after swap: [-6, -54, -92, -3, 4, 41, 46, 48, 85]

Pass 5:
  Compare -6 and -54
  Swap -6 and -54
  List after swap: [-54, -6, -92, -3, 4, 41, 46, 48, 85]
  Compare -6 and -92
  Swap -6 and -92
  List after swap: [-54, -92, -6, -3, 4, 41, 46, 48, 85]
  Compare -6 and -3
  No swap needed
  Compare -3 and 4
  No swap needed

Pass 6:
  Compare -54 and -92
  Swap -54 and -92
  List after swap: [-92, -54, -6, -3, 4, 41, 46, 48, 85]
  Compare -54 and -6
  No swap needed
  Compare -6 and -3
  No swap needed

Pass 7:
  Compare -92 and -54
  No swap needed
  Compare -54 and -6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -54, -6, -3, 4, 41, 46, 48, 85]
</think>

<response>-92, -54, -6, -3, 4, 41, 46, 48, 85</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 14, -88, 11, -25, -77, -91, 31, 45, 59.

output:
<think>
Initial list: [14, -88, 11, -25, -77, -91, 31, 45, 59]

Pass 1:
  Compare 14 and -88
  Swap 14 and -88
  List after swap: [-88, 14, 11, -25, -77, -91, 31, 45, 59]
  Compare 14 and 11
  Swap 14 and 11
  List after swap: [-88, 11, 14, -25, -77, -91, 31, 45, 59]
  Compare 14 and -25
  Swap 14 and -25
  List after swap: [-88, 11, -25, 14, -77, -91, 31, 45, 59]
  Compare 14 and -77
  Swap 14 and -77
  List after swap: [-88, 11, -25, -77, 14, -91, 31, 45, 59]
  Compare 14 and -91
  Swap 14 and -91
  List after swap: [-88, 11, -25, -77, -91, 14, 31, 45, 59]
  Compare 14 and 31
  No swap needed
  Compare 31 and 45
  No swap needed
  Compare 45 and 59
  No swap needed

Pass 2:
  Compare -88 and 11
  No swap needed
  Compare 11 and -25
  Swap 11 and -25
  List after swap: [-88, -25, 11, -77, -91, 14, 31, 45, 59]
  Compare 11 and -77
  Swap 11 and -77
  List after swap: [-88, -25, -77, 11, -91, 14, 31, 45, 59]
  Compare 11 and -91
  Swap 11 and -91
  List after swap: [-88, -25, -77, -91, 11, 14, 31, 45, 59]
  Compare 11 and 14
  No swap needed
  Compare 14 and 31
  No swap needed
  Compare 31 and 45
  No swap needed

Pass 3:
  Compare -88 and -25
  No swap needed
  Compare -25 and -77
  Swap -25 and -77
  List after swap: [-88, -77, -25, -91, 11, 14, 31, 45, 59]
  Compare -25 and -91
  Swap -25 and -91
  List after swap: [-88, -77, -91, -25, 11, 14, 31, 45, 59]
  Compare -25 and 11
  No swap needed
  Compare 11 and 14
  No swap needed
  Compare 14 and 31
  No swap needed

Pass 4:
  Compare -88 and -77
  No swap needed
  Compare -77 and -91
  Swap -77 and -91
  List after swap: [-88, -91, -77, -25, 11, 14, 31, 45, 59]
  Compare -77 and -25
  No swap needed
  Compare -25 and 11
  No swap needed
  Compare 11 and 14
  No swap needed

Pass 5:
  Compare -88 and -91
  Swap -88 and -91
  List after swap: [-91, -88, -77, -25, 11, 14, 31, 45, 59]
  Compare -88 and -77
  No swap needed
  Compare -77 and -25
  No swap needed
  Compare -25 and 11
  No swap needed

Pass 6:
  Compare -91 and -88
  No swap needed
  Compare -88 and -77
  No swap needed
  Compare -77 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -88, -77, -25, 11, 14, 31, 45, 59]
</think>

<response>-91, -88, -77, -25, 11, 14, 31, 45, 59</response>


input: Perform a bubble sort on the integers 75, -98, 7, -26, 70, 86, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [75, -98, 7, -26, 70, 86]

Pass 1:
  Compare 75 and -98
  Swap 75 and -98
  List after swap: [-98, 75, 7, -26, 70, 86]
  Compare 75 and 7
  Swap 75 and 7
  List after swap: [-98, 7, 75, -26, 70, 86]
  Compare 75 and -26
  Swap 75 and -26
  List after swap: [-98, 7, -26, 75, 70, 86]
  Compare 75 and 70
  Swap 75 and 70
  List after swap: [-98, 7, -26, 70, 75, 86]
  Compare 75 and 86
  No swap needed

Pass 2:
  Compare -98 and 7
  No swap needed
  Compare 7 and -26
  Swap 7 and -26
  List after swap: [-98, -26, 7, 70, 75, 86]
  Compare 7 and 70
  No swap needed
  Compare 70 and 75
  No swap needed

Pass 3:
  Compare -98 and -26
  No swap needed
  Compare -26 and 7
  No swap needed
  Compare 7 and 70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -26, 7, 70, 75, 86]
</think>

<response>-98, -26, 7, 70, 75, 86</response>


input: Implement bubble sort on 93, 79, -52, -57, -98, 37, -39, -13 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [93, 79, -52, -57, -98, 37, -39, -13]

Pass 1:
  Compare 93 and 79
  Swap 93 and 79
  List after swap: [79, 93, -52, -57, -98, 37, -39, -13]
  Compare 93 and -52
  Swap 93 and -52
  List after swap: [79, -52, 93, -57, -98, 37, -39, -13]
  Compare 93 and -57
  Swap 93 and -57
  List after swap: [79, -52, -57, 93, -98, 37, -39, -13]
  Compare 93 and -98
  Swap 93 and -98
  List after swap: [79, -52, -57, -98, 93, 37, -39, -13]
  Compare 93 and 37
  Swap 93 and 37
  List after swap: [79, -52, -57, -98, 37, 93, -39, -13]
  Compare 93 and -39
  Swap 93 and -39
  List after swap: [79, -52, -57, -98, 37, -39, 93, -13]
  Compare 93 and -13
  Swap 93 and -13
  List after swap: [79, -52, -57, -98, 37, -39, -13, 93]

Pass 2:
  Compare 79 and -52
  Swap 79 and -52
  List after swap: [-52, 79, -57, -98, 37, -39, -13, 93]
  Compare 79 and -57
  Swap 79 and -57
  List after swap: [-52, -57, 79, -98, 37, -39, -13, 93]
  Compare 79 and -98
  Swap 79 and -98
  List after swap: [-52, -57, -98, 79, 37, -39, -13, 93]
  Compare 79 and 37
  Swap 79 and 37
  List after swap: [-52, -57, -98, 37, 79, -39, -13, 93]
  Compare 79 and -39
  Swap 79 and -39
  List after swap: [-52, -57, -98, 37, -39, 79, -13, 93]
  Compare 79 and -13
  Swap 79 and -13
  List after swap: [-52, -57, -98, 37, -39, -13, 79, 93]

Pass 3:
  Compare -52 and -57
  Swap -52 and -57
  List after swap: [-57, -52, -98, 37, -39, -13, 79, 93]
  Compare -52 and -98
  Swap -52 and -98
  List after swap: [-57, -98, -52, 37, -39, -13, 79, 93]
  Compare -52 and 37
  No swap needed
  Compare 37 and -39
  Swap 37 and -39
  List after swap: [-57, -98, -52, -39, 37, -13, 79, 93]
  Compare 37 and -13
  Swap 37 and -13
  List after swap: [-57, -98, -52, -39, -13, 37, 79, 93]

Pass 4:
  Compare -57 and -98
  Swap -57 and -98
  List after swap: [-98, -57, -52, -39, -13, 37, 79, 93]
  Compare -57 and -52
  No swap needed
  Compare -52 and -39
  No swap needed
  Compare -39 and -13
  No swap needed

Pass 5:
  Compare -98 and -57
  No swap needed
  Compare -57 and -52
  No swap needed
  Compare -52 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -57, -52, -39, -13, 37, 79, 93]
</think>

<response>-98, -57, -52, -39, -13, 37, 79, 93</response>


input: Carry out the bubble sort algorithm on 61, 83, -5 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [61, 83, -5]

Pass 1:
  Compare 61 and 83
  No swap needed
  Compare 83 and -5
  Swap 83 and -5
  List after swap: [61, -5, 83]

Pass 2:
  Compare 61 and -5
  Swap 61 and -5
  List after swap: [-5, 61, 83]

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

Final sorted list: [-5, 61, 83]
</think>

<response>-5, 61, 83</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -47, -10, 42, 21.

output:
<think>
Initial list: [-47, -10, 42, 21]

Pass 1:
  Compare -47 and -10
  No swap needed
  Compare -10 and 42
  No swap needed
  Compare 42 and 21
  Swap 42 and 21
  List after swap: [-47, -10, 21, 42]

Pass 2:
  Compare -47 and -10
  No swap needed
  Compare -10 and 21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-47, -10, 21, 42]
</think>

<response>-47, -10, 21, 42</response>


input: Carry out the bubble sort algorithm on -43, -45, -42, 3, -94, 29, -86, 72, 20, -28 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-43, -45, -42, 3, -94, 29, -86, 72, 20, -28]

Pass 1:
  Compare -43 and -45
  Swap -43 and -45
  List after swap: [-45, -43, -42, 3, -94, 29, -86, 72, 20, -28]
  Compare -43 and -42
  No swap needed
  Compare -42 and 3
  No swap needed
  Compare 3 and -94
  Swap 3 and -94
  List after swap: [-45, -43, -42, -94, 3, 29, -86, 72, 20, -28]
  Compare 3 and 29
  No swap needed
  Compare 29 and -86
  Swap 29 and -86
  List after swap: [-45, -43, -42, -94, 3, -86, 29, 72, 20, -28]
  Compare 29 and 72
  No swap needed
  Compare 72 and 20
  Swap 72 and 20
  List after swap: [-45, -43, -42, -94, 3, -86, 29, 20, 72, -28]
  Compare 72 and -28
  Swap 72 and -28
  List after swap: [-45, -43, -42, -94, 3, -86, 29, 20, -28, 72]

Pass 2:
  Compare -45 and -43
  No swap needed
  Compare -43 and -42
  No swap needed
  Compare -42 and -94
  Swap -42 and -94
  List after swap: [-45, -43, -94, -42, 3, -86, 29, 20, -28, 72]
  Compare -42 and 3
  No swap needed
  Compare 3 and -86
  Swap 3 and -86
  List after swap: [-45, -43, -94, -42, -86, 3, 29, 20, -28, 72]
  Compare 3 and 29
  No swap needed
  Compare 29 and 20
  Swap 29 and 20
  List after swap: [-45, -43, -94, -42, -86, 3, 20, 29, -28, 72]
  Compare 29 and -28
  Swap 29 and -28
  List after swap: [-45, -43, -94, -42, -86, 3, 20, -28, 29, 72]

Pass 3:
  Compare -45 and -43
  No swap needed
  Compare -43 and -94
  Swap -43 and -94
  List after swap: [-45, -94, -43, -42, -86, 3, 20, -28, 29, 72]
  Compare -43 and -42
  No swap needed
  Compare -42 and -86
  Swap -42 and -86
  List after swap: [-45, -94, -43, -86, -42, 3, 20, -28, 29, 72]
  Compare -42 and 3
  No swap needed
  Compare 3 and 20
  No swap needed
  Compare 20 and -28
  Swap 20 and -28
  List after swap: [-45, -94, -43, -86, -42, 3, -28, 20, 29, 72]

Pass 4:
  Compare -45 and -94
  Swap -45 and -94
  List after swap: [-94, -45, -43, -86, -42, 3, -28, 20, 29, 72]
  Compare -45 and -43
  No swap needed
  Compare -43 and -86
  Swap -43 and -86
  List after swap: [-94, -45, -86, -43, -42, 3, -28, 20, 29, 72]
  Compare -43 and -42
  No swap needed
  Compare -42 and 3
  No swap needed
  Compare 3 and -28
  Swap 3 and -28
  List after swap: [-94, -45, -86, -43, -42, -28, 3, 20, 29, 72]

Pass 5:
  Compare -94 and -45
  No swap needed
  Compare -45 and -86
  Swap -45 and -86
  List after swap: [-94, -86, -45, -43, -42, -28, 3, 20, 29, 72]
  Compare -45 and -43
  No swap needed
  Compare -43 and -42
  No swap needed
  Compare -42 and -28
  No swap needed

Pass 6:
  Compare -94 and -86
  No swap needed
  Compare -86 and -45
  No swap needed
  Compare -45 and -43
  No swap needed
  Compare -43 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -86, -45, -43, -42, -28, 3, 20, 29, 72]
</think>

<response>-94, -86, -45, -43, -42, -28, 3, 20, 29, 72</response>


input: Implement bubble sort on 9, -28 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [9, -28]

Pass 1:
  Compare 9 and -28
  Swap 9 and -28
  List after swap: [-28, 9]

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

Final sorted list: [-28, 9]
</think>

<response>-28, 9</response>


input: Perform a bubble sort on the integers -85, -72, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-85, -72]

Pass 1:
  Compare -85 and -72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -72]
</think>

<response>-85, -72</response>


input: Using the bubble sort method, sort -42, -99, 63, -24, 98, 65, -36, 50, -38 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-42, -99, 63, -24, 98, 65, -36, 50, -38]

Pass 1:
  Compare -42 and -99
  Swap -42 and -99
  List after swap: [-99, -42, 63, -24, 98, 65, -36, 50, -38]
  Compare -42 and 63
  No swap needed
  Compare 63 and -24
  Swap 63 and -24
  List after swap: [-99, -42, -24, 63, 98, 65, -36, 50, -38]
  Compare 63 and 98
  No swap needed
  Compare 98 and 65
  Swap 98 and 65
  List after swap: [-99, -42, -24, 63, 65, 98, -36, 50, -38]
  Compare 98 and -36
  Swap 98 and -36
  List after swap: [-99, -42, -24, 63, 65, -36, 98, 50, -38]
  Compare 98 and 50
  Swap 98 and 50
  List after swap: [-99, -42, -24, 63, 65, -36, 50, 98, -38]
  Compare 98 and -38
  Swap 98 and -38
  List after swap: [-99, -42, -24, 63, 65, -36, 50, -38, 98]

Pass 2:
  Compare -99 and -42
  No swap needed
  Compare -42 and -24
  No swap needed
  Compare -24 and 63
  No swap needed
  Compare 63 and 65
  No swap needed
  Compare 65 and -36
  Swap 65 and -36
  List after swap: [-99, -42, -24, 63, -36, 65, 50, -38, 98]
  Compare 65 and 50
  Swap 65 and 50
  List after swap: [-99, -42, -24, 63, -36, 50, 65, -38, 98]
  Compare 65 and -38
  Swap 65 and -38
  List after swap: [-99, -42, -24, 63, -36, 50, -38, 65, 98]

Pass 3:
  Compare -99 and -42
  No swap needed
  Compare -42 and -24
  No swap needed
  Compare -24 and 63
  No swap needed
  Compare 63 and -36
  Swap 63 and -36
  List after swap: [-99, -42, -24, -36, 63, 50, -38, 65, 98]
  Compare 63 and 50
  Swap 63 and 50
  List after swap: [-99, -42, -24, -36, 50, 63, -38, 65, 98]
  Compare 63 and -38
  Swap 63 and -38
  List after swap: [-99, -42, -24, -36, 50, -38, 63, 65, 98]

Pass 4:
  Compare -99 and -42
  No swap needed
  Compare -42 and -24
  No swap needed
  Compare -24 and -36
  Swap -24 and -36
  List after swap: [-99, -42, -36, -24, 50, -38, 63, 65, 98]
  Compare -24 and 50
  No swap needed
  Compare 50 and -38
  Swap 50 and -38
  List after swap: [-99, -42, -36, -24, -38, 50, 63, 65, 98]

Pass 5:
  Compare -99 and -42
  No swap needed
  Compare -42 and -36
  No swap needed
  Compare -36 and -24
  No swap needed
  Compare -24 and -38
  Swap -24 and -38
  List after swap: [-99, -42, -36, -38, -24, 50, 63, 65, 98]

Pass 6:
  Compare -99 and -42
  No swap needed
  Compare -42 and -36
  No swap needed
  Compare -36 and -38
  Swap -36 and -38
  List after swap: [-99, -42, -38, -36, -24, 50, 63, 65, 98]

Pass 7:
  Compare -99 and -42
  No swap needed
  Compare -42 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -42, -38, -36, -24, 50, 63, 65, 98]
</think>

<response>-99, -42, -38, -36, -24, 50, 63, 65, 98</response>


input: Sort the list -18, 26, -94, 61, 44, -68, 5 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-18, 26, -94, 61, 44, -68, 5]

Pass 1:
  Compare -18 and 26
  No swap needed
  Compare 26 and -94
  Swap 26 and -94
  List after swap: [-18, -94, 26, 61, 44, -68, 5]
  Compare 26 and 61
  No swap needed
  Compare 61 and 44
  Swap 61 and 44
  List after swap: [-18, -94, 26, 44, 61, -68, 5]
  Compare 61 and -68
  Swap 61 and -68
  List after swap: [-18, -94, 26, 44, -68, 61, 5]
  Compare 61 and 5
  Swap 61 and 5
  List after swap: [-18, -94, 26, 44, -68, 5, 61]

Pass 2:
  Compare -18 and -94
  Swap -18 and -94
  List after swap: [-94, -18, 26, 44, -68, 5, 61]
  Compare -18 and 26
  No swap needed
  Compare 26 and 44
  No swap needed
  Compare 44 and -68
  Swap 44 and -68
  List after swap: [-94, -18, 26, -68, 44, 5, 61]
  Compare 44 and 5
  Swap 44 and 5
  List after swap: [-94, -18, 26, -68, 5, 44, 61]

Pass 3:
  Compare -94 and -18
  No swap needed
  Compare -18 and 26
  No swap needed
  Compare 26 and -68
  Swap 26 and -68
  List after swap: [-94, -18, -68, 26, 5, 44, 61]
  Compare 26 and 5
  Swap 26 and 5
  List after swap: [-94, -18, -68, 5, 26, 44, 61]

Pass 4:
  Compare -94 and -18
  No swap needed
  Compare -18 and -68
  Swap -18 and -68
  List after swap: [-94, -68, -18, 5, 26, 44, 61]
  Compare -18 and 5
  No swap needed

Pass 5:
  Compare -94 and -68
  No swap needed
  Compare -68 and -18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -68, -18, 5, 26, 44, 61]
</think>

<response>-94, -68, -18, 5, 26, 44, 61</response>


input: Carry out the bubble sort algorithm on 81, 93, -22, -60, -69, 4, -53 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [81, 93, -22, -60, -69, 4, -53]

Pass 1:
  Compare 81 and 93
  No swap needed
  Compare 93 and -22
  Swap 93 and -22
  List after swap: [81, -22, 93, -60, -69, 4, -53]
  Compare 93 and -60
  Swap 93 and -60
  List after swap: [81, -22, -60, 93, -69, 4, -53]
  Compare 93 and -69
  Swap 93 and -69
  List after swap: [81, -22, -60, -69, 93, 4, -53]
  Compare 93 and 4
  Swap 93 and 4
  List after swap: [81, -22, -60, -69, 4, 93, -53]
  Compare 93 and -53
  Swap 93 and -53
  List after swap: [81, -22, -60, -69, 4, -53, 93]

Pass 2:
  Compare 81 and -22
  Swap 81 and -22
  List after swap: [-22, 81, -60, -69, 4, -53, 93]
  Compare 81 and -60
  Swap 81 and -60
  List after swap: [-22, -60, 81, -69, 4, -53, 93]
  Compare 81 and -69
  Swap 81 and -69
  List after swap: [-22, -60, -69, 81, 4, -53, 93]
  Compare 81 and 4
  Swap 81 and 4
  List after swap: [-22, -60, -69, 4, 81, -53, 93]
  Compare 81 and -53
  Swap 81 and -53
  List after swap: [-22, -60, -69, 4, -53, 81, 93]

Pass 3:
  Compare -22 and -60
  Swap -22 and -60
  List after swap: [-60, -22, -69, 4, -53, 81, 93]
  Compare -22 and -69
  Swap -22 and -69
  List after swap: [-60, -69, -22, 4, -53, 81, 93]
  Compare -22 and 4
  No swap needed
  Compare 4 and -53
  Swap 4 and -53
  List after swap: [-60, -69, -22, -53, 4, 81, 93]

Pass 4:
  Compare -60 and -69
  Swap -60 and -69
  List after swap: [-69, -60, -22, -53, 4, 81, 93]
  Compare -60 and -22
  No swap needed
  Compare -22 and -53
  Swap -22 and -53
  List after swap: [-69, -60, -53, -22, 4, 81, 93]

Pass 5:
  Compare -69 and -60
  No swap needed
  Compare -60 and -53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -60, -53, -22, 4, 81, 93]
</think>

<response>-69, -60, -53, -22, 4, 81, 93</response>


input: Using the bubble sort method, sort 28, 19, -62, 38, -53, 2, -69, 14 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [28, 19, -62, 38, -53, 2, -69, 14]

Pass 1:
  Compare 28 and 19
  Swap 28 and 19
  List after swap: [19, 28, -62, 38, -53, 2, -69, 14]
  Compare 28 and -62
  Swap 28 and -62
  List after swap: [19, -62, 28, 38, -53, 2, -69, 14]
  Compare 28 and 38
  No swap needed
  Compare 38 and -53
  Swap 38 and -53
  List after swap: [19, -62, 28, -53, 38, 2, -69, 14]
  Compare 38 and 2
  Swap 38 and 2
  List after swap: [19, -62, 28, -53, 2, 38, -69, 14]
  Compare 38 and -69
  Swap 38 and -69
  List after swap: [19, -62, 28, -53, 2, -69, 38, 14]
  Compare 38 and 14
  Swap 38 and 14
  List after swap: [19, -62, 28, -53, 2, -69, 14, 38]

Pass 2:
  Compare 19 and -62
  Swap 19 and -62
  List after swap: [-62, 19, 28, -53, 2, -69, 14, 38]
  Compare 19 and 28
  No swap needed
  Compare 28 and -53
  Swap 28 and -53
  List after swap: [-62, 19, -53, 28, 2, -69, 14, 38]
  Compare 28 and 2
  Swap 28 and 2
  List after swap: [-62, 19, -53, 2, 28, -69, 14, 38]
  Compare 28 and -69
  Swap 28 and -69
  List after swap: [-62, 19, -53, 2, -69, 28, 14, 38]
  Compare 28 and 14
  Swap 28 and 14
  List after swap: [-62, 19, -53, 2, -69, 14, 28, 38]

Pass 3:
  Compare -62 and 19
  No swap needed
  Compare 19 and -53
  Swap 19 and -53
  List after swap: [-62, -53, 19, 2, -69, 14, 28, 38]
  Compare 19 and 2
  Swap 19 and 2
  List after swap: [-62, -53, 2, 19, -69, 14, 28, 38]
  Compare 19 and -69
  Swap 19 and -69
  List after swap: [-62, -53, 2, -69, 19, 14, 28, 38]
  Compare 19 and 14
  Swap 19 and 14
  List after swap: [-62, -53, 2, -69, 14, 19, 28, 38]

Pass 4:
  Compare -62 and -53
  No swap needed
  Compare -53 and 2
  No swap needed
  Compare 2 and -69
  Swap 2 and -69
  List after swap: [-62, -53, -69, 2, 14, 19, 28, 38]
  Compare 2 and 14
  No swap needed

Pass 5:
  Compare -62 and -53
  No swap needed
  Compare -53 and -69
  Swap -53 and -69
  List after swap: [-62, -69, -53, 2, 14, 19, 28, 38]
  Compare -53 and 2
  No swap needed

Pass 6:
  Compare -62 and -69
  Swap -62 and -69
  List after swap: [-69, -62, -53, 2, 14, 19, 28, 38]
  Compare -62 and -53
  No swap needed

Pass 7:
  Compare -69 and -62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -62, -53, 2, 14, 19, 28, 38]
</think>

<response>-69, -62, -53, 2, 14, 19, 28, 38</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -86, 83, -21, -11, 53, -85, 34.

output:
<think>
Initial list: [-86, 83, -21, -11, 53, -85, 34]

Pass 1:
  Compare -86 and 83
  No swap needed
  Compare 83 and -21
  Swap 83 and -21
  List after swap: [-86, -21, 83, -11, 53, -85, 34]
  Compare 83 and -11
  Swap 83 and -11
  List after swap: [-86, -21, -11, 83, 53, -85, 34]
  Compare 83 and 53
  Swap 83 and 53
  List after swap: [-86, -21, -11, 53, 83, -85, 34]
  Compare 83 and -85
  Swap 83 and -85
  List after swap: [-86, -21, -11, 53, -85, 83, 34]
  Compare 83 and 34
  Swap 83 and 34
  List after swap: [-86, -21, -11, 53, -85, 34, 83]

Pass 2:
  Compare -86 and -21
  No swap needed
  Compare -21 and -11
  No swap needed
  Compare -11 and 53
  No swap needed
  Compare 53 and -85
  Swap 53 and -85
  List after swap: [-86, -21, -11, -85, 53, 34, 83]
  Compare 53 and 34
  Swap 53 and 34
  List after swap: [-86, -21, -11, -85, 34, 53, 83]

Pass 3:
  Compare -86 and -21
  No swap needed
  Compare -21 and -11
  No swap needed
  Compare -11 and -85
  Swap -11 and -85
  List after swap: [-86, -21, -85, -11, 34, 53, 83]
  Compare -11 and 34
  No swap needed

Pass 4:
  Compare -86 and -21
  No swap needed
  Compare -21 and -85
  Swap -21 and -85
  List after swap: [-86, -85, -21, -11, 34, 53, 83]
  Compare -21 and -11
  No swap needed

Pass 5:
  Compare -86 and -85
  No swap needed
  Compare -85 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -85, -21, -11, 34, 53, 83]
</think>

<response>-86, -85, -21, -11, 34, 53, 83</response>


input: Demonstrate how bubble sort orders the integers -15, -28, 10, -56, 45, -25 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-15, -28, 10, -56, 45, -25]

Pass 1:
  Compare -15 and -28
  Swap -15 and -28
  List after swap: [-28, -15, 10, -56, 45, -25]
  Compare -15 and 10
  No swap needed
  Compare 10 and -56
  Swap 10 and -56
  List after swap: [-28, -15, -56, 10, 45, -25]
  Compare 10 and 45
  No swap needed
  Compare 45 and -25
  Swap 45 and -25
  List after swap: [-28, -15, -56, 10, -25, 45]

Pass 2:
  Compare -28 and -15
  No swap needed
  Compare -15 and -56
  Swap -15 and -56
  List after swap: [-28, -56, -15, 10, -25, 45]
  Compare -15 and 10
  No swap needed
  Compare 10 and -25
  Swap 10 and -25
  List after swap: [-28, -56, -15, -25, 10, 45]

Pass 3:
  Compare -28 and -56
  Swap -28 and -56
  List after swap: [-56, -28, -15, -25, 10, 45]
  Compare -28 and -15
  No swap needed
  Compare -15 and -25
  Swap -15 and -25
  List after swap: [-56, -28, -25, -15, 10, 45]

Pass 4:
  Compare -56 and -28
  No swap needed
  Compare -28 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -28, -25, -15, 10, 45]
</think>

<response>-56, -28, -25, -15, 10, 45</response>


input: Implement bubble sort on 28, -49, -7, 65 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [28, -49, -7, 65]

Pass 1:
  Compare 28 and -49
  Swap 28 and -49
  List after swap: [-49, 28, -7, 65]
  Compare 28 and -7
  Swap 28 and -7
  List after swap: [-49, -7, 28, 65]
  Compare 28 and 65
  No swap needed

Pass 2:
  Compare -49 and -7
  No swap needed
  Compare -7 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-49, -7, 28, 65]
</think>

<response>-49, -7, 28, 65</response>


input: Use the bubble sort technique to reorder 32, -3, 95, -53, -11 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [32, -3, 95, -53, -11]

Pass 1:
  Compare 32 and -3
  Swap 32 and -3
  List after swap: [-3, 32, 95, -53, -11]
  Compare 32 and 95
  No swap needed
  Compare 95 and -53
  Swap 95 and -53
  List after swap: [-3, 32, -53, 95, -11]
  Compare 95 and -11
  Swap 95 and -11
  List after swap: [-3, 32, -53, -11, 95]

Pass 2:
  Compare -3 and 32
  No swap needed
  Compare 32 and -53
  Swap 32 and -53
  List after swap: [-3, -53, 32, -11, 95]
  Compare 32 and -11
  Swap 32 and -11
  List after swap: [-3, -53, -11, 32, 95]

Pass 3:
  Compare -3 and -53
  Swap -3 and -53
  List after swap: [-53, -3, -11, 32, 95]
  Compare -3 and -11
  Swap -3 and -11
  List after swap: [-53, -11, -3, 32, 95]

Pass 4:
  Compare -53 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-53, -11, -3, 32, 95]
</think>

<response>-53, -11, -3, 32, 95</response>


input: Implement bubble sort on -16, -1 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-16, -1]

Pass 1:
  Compare -16 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-16, -1]
</think>

<response>-16, -1</response>


input: Perform a bubble sort on the integers -82, -51, -100, 17, 12, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-82, -51, -100, 17, 12]

Pass 1:
  Compare -82 and -51
  No swap needed
  Compare -51 and -100
  Swap -51 and -100
  List after swap: [-82, -100, -51, 17, 12]
  Compare -51 and 17
  No swap needed
  Compare 17 and 12
  Swap 17 and 12
  List after swap: [-82, -100, -51, 12, 17]

Pass 2:
  Compare -82 and -100
  Swap -82 and -100
  List after swap: [-100, -82, -51, 12, 17]
  Compare -82 and -51
  No swap needed
  Compare -51 and 12
  No swap needed

Pass 3:
  Compare -100 and -82
  No swap needed
  Compare -82 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -82, -51, 12, 17]
</think>

<response>-100, -82, -51, 12, 17</response>


input: Demonstrate how bubble sort orders the integers 56, 12, 68 in ascending sequence, showing all steps.

output:
<think>
Initial list: [56, 12, 68]

Pass 1:
  Compare 56 and 12
  Swap 56 and 12
  List after swap: [12, 56, 68]
  Compare 56 and 68
  No swap needed

Pass 2:
  Compare 12 and 56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [12, 56, 68]
</think>

<response>12, 56, 68</response>


input: Using the bubble sort method, sort 69, 82, -39, 9, 8, -75, 32, -37 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [69, 82, -39, 9, 8, -75, 32, -37]

Pass 1:
  Compare 69 and 82
  No swap needed
  Compare 82 and -39
  Swap 82 and -39
  List after swap: [69, -39, 82, 9, 8, -75, 32, -37]
  Compare 82 and 9
  Swap 82 and 9
  List after swap: [69, -39, 9, 82, 8, -75, 32, -37]
  Compare 82 and 8
  Swap 82 and 8
  List after swap: [69, -39, 9, 8, 82, -75, 32, -37]
  Compare 82 and -75
  Swap 82 and -75
  List after swap: [69, -39, 9, 8, -75, 82, 32, -37]
  Compare 82 and 32
  Swap 82 and 32
  List after swap: [69, -39, 9, 8, -75, 32, 82, -37]
  Compare 82 and -37
  Swap 82 and -37
  List after swap: [69, -39, 9, 8, -75, 32, -37, 82]

Pass 2:
  Compare 69 and -39
  Swap 69 and -39
  List after swap: [-39, 69, 9, 8, -75, 32, -37, 82]
  Compare 69 and 9
  Swap 69 and 9
  List after swap: [-39, 9, 69, 8, -75, 32, -37, 82]
  Compare 69 and 8
  Swap 69 and 8
  List after swap: [-39, 9, 8, 69, -75, 32, -37, 82]
  Compare 69 and -75
  Swap 69 and -75
  List after swap: [-39, 9, 8, -75, 69, 32, -37, 82]
  Compare 69 and 32
  Swap 69 and 32
  List after swap: [-39, 9, 8, -75, 32, 69, -37, 82]
  Compare 69 and -37
  Swap 69 and -37
  List after swap: [-39, 9, 8, -75, 32, -37, 69, 82]

Pass 3:
  Compare -39 and 9
  No swap needed
  Compare 9 and 8
  Swap 9 and 8
  List after swap: [-39, 8, 9, -75, 32, -37, 69, 82]
  Compare 9 and -75
  Swap 9 and -75
  List after swap: [-39, 8, -75, 9, 32, -37, 69, 82]
  Compare 9 and 32
  No swap needed
  Compare 32 and -37
  Swap 32 and -37
  List after swap: [-39, 8, -75, 9, -37, 32, 69, 82]

Pass 4:
  Compare -39 and 8
  No swap needed
  Compare 8 and -75
  Swap 8 and -75
  List after swap: [-39, -75, 8, 9, -37, 32, 69, 82]
  Compare 8 and 9
  No swap needed
  Compare 9 and -37
  Swap 9 and -37
  List after swap: [-39, -75, 8, -37, 9, 32, 69, 82]

Pass 5:
  Compare -39 and -75
  Swap -39 and -75
  List after swap: [-75, -39, 8, -37, 9, 32, 69, 82]
  Compare -39 and 8
  No swap needed
  Compare 8 and -37
  Swap 8 and -37
  List after swap: [-75, -39, -37, 8, 9, 32, 69, 82]

Pass 6:
  Compare -75 and -39
  No swap needed
  Compare -39 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -39, -37, 8, 9, 32, 69, 82]
</think>

<response>-75, -39, -37, 8, 9, 32, 69, 82</response>


input: Demonstrate how bubble sort orders the integers -99, 46, -29, 3, 99, 41 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-99, 46, -29, 3, 99, 41]

Pass 1:
  Compare -99 and 46
  No swap needed
  Compare 46 and -29
  Swap 46 and -29
  List after swap: [-99, -29, 46, 3, 99, 41]
  Compare 46 and 3
  Swap 46 and 3
  List after swap: [-99, -29, 3, 46, 99, 41]
  Compare 46 and 99
  No swap needed
  Compare 99 and 41
  Swap 99 and 41
  List after swap: [-99, -29, 3, 46, 41, 99]

Pass 2:
  Compare -99 and -29
  No swap needed
  Compare -29 and 3
  No swap needed
  Compare 3 and 46
  No swap needed
  Compare 46 and 41
  Swap 46 and 41
  List after swap: [-99, -29, 3, 41, 46, 99]

Pass 3:
  Compare -99 and -29
  No swap needed
  Compare -29 and 3
  No swap needed
  Compare 3 and 41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -29, 3, 41, 46, 99]
</think>

<response>-99, -29, 3, 41, 46, 99</response>


input: Using the bubble sort method, sort 76, 64 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [76, 64]

Pass 1:
  Compare 76 and 64
  Swap 76 and 64
  List after swap: [64, 76]

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

Final sorted list: [64, 76]
</think>

<response>64, 76</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 23, 47, 49, 66, 3, -40, -55, -27, 67, -95.

output:
<think>
Initial list: [23, 47, 49, 66, 3, -40, -55, -27, 67, -95]

Pass 1:
  Compare 23 and 47
  No swap needed
  Compare 47 and 49
  No swap needed
  Compare 49 and 66
  No swap needed
  Compare 66 and 3
  Swap 66 and 3
  List after swap: [23, 47, 49, 3, 66, -40, -55, -27, 67, -95]
  Compare 66 and -40
  Swap 66 and -40
  List after swap: [23, 47, 49, 3, -40, 66, -55, -27, 67, -95]
  Compare 66 and -55
  Swap 66 and -55
  List after swap: [23, 47, 49, 3, -40, -55, 66, -27, 67, -95]
  Compare 66 and -27
  Swap 66 and -27
  List after swap: [23, 47, 49, 3, -40, -55, -27, 66, 67, -95]
  Compare 66 and 67
  No swap needed
  Compare 67 and -95
  Swap 67 and -95
  List after swap: [23, 47, 49, 3, -40, -55, -27, 66, -95, 67]

Pass 2:
  Compare 23 and 47
  No swap needed
  Compare 47 and 49
  No swap needed
  Compare 49 and 3
  Swap 49 and 3
  List after swap: [23, 47, 3, 49, -40, -55, -27, 66, -95, 67]
  Compare 49 and -40
  Swap 49 and -40
  List after swap: [23, 47, 3, -40, 49, -55, -27, 66, -95, 67]
  Compare 49 and -55
  Swap 49 and -55
  List after swap: [23, 47, 3, -40, -55, 49, -27, 66, -95, 67]
  Compare 49 and -27
  Swap 49 and -27
  List after swap: [23, 47, 3, -40, -55, -27, 49, 66, -95, 67]
  Compare 49 and 66
  No swap needed
  Compare 66 and -95
  Swap 66 and -95
  List after swap: [23, 47, 3, -40, -55, -27, 49, -95, 66, 67]

Pass 3:
  Compare 23 and 47
  No swap needed
  Compare 47 and 3
  Swap 47 and 3
  List after swap: [23, 3, 47, -40, -55, -27, 49, -95, 66, 67]
  Compare 47 and -40
  Swap 47 and -40
  List after swap: [23, 3, -40, 47, -55, -27, 49, -95, 66, 67]
  Compare 47 and -55
  Swap 47 and -55
  List after swap: [23, 3, -40, -55, 47, -27, 49, -95, 66, 67]
  Compare 47 and -27
  Swap 47 and -27
  List after swap: [23, 3, -40, -55, -27, 47, 49, -95, 66, 67]
  Compare 47 and 49
  No swap needed
  Compare 49 and -95
  Swap 49 and -95
  List after swap: [23, 3, -40, -55, -27, 47, -95, 49, 66, 67]

Pass 4:
  Compare 23 and 3
  Swap 23 and 3
  List after swap: [3, 23, -40, -55, -27, 47, -95, 49, 66, 67]
  Compare 23 and -40
  Swap 23 and -40
  List after swap: [3, -40, 23, -55, -27, 47, -95, 49, 66, 67]
  Compare 23 and -55
  Swap 23 and -55
  List after swap: [3, -40, -55, 23, -27, 47, -95, 49, 66, 67]
  Compare 23 and -27
  Swap 23 and -27
  List after swap: [3, -40, -55, -27, 23, 47, -95, 49, 66, 67]
  Compare 23 and 47
  No swap needed
  Compare 47 and -95
  Swap 47 and -95
  List after swap: [3, -40, -55, -27, 23, -95, 47, 49, 66, 67]

Pass 5:
  Compare 3 and -40
  Swap 3 and -40
  List after swap: [-40, 3, -55, -27, 23, -95, 47, 49, 66, 67]
  Compare 3 and -55
  Swap 3 and -55
  List after swap: [-40, -55, 3, -27, 23, -95, 47, 49, 66, 67]
  Compare 3 and -27
  Swap 3 and -27
  List after swap: [-40, -55, -27, 3, 23, -95, 47, 49, 66, 67]
  Compare 3 and 23
  No swap needed
  Compare 23 and -95
  Swap 23 and -95
  List after swap: [-40, -55, -27, 3, -95, 23, 47, 49, 66, 67]

Pass 6:
  Compare -40 and -55
  Swap -40 and -55
  List after swap: [-55, -40, -27, 3, -95, 23, 47, 49, 66, 67]
  Compare -40 and -27
  No swap needed
  Compare -27 and 3
  No swap needed
  Compare 3 and -95
  Swap 3 and -95
  List after swap: [-55, -40, -27, -95, 3, 23, 47, 49, 66, 67]

Pass 7:
  Compare -55 and -40
  No swap needed
  Compare -40 and -27
  No swap needed
  Compare -27 and -95
  Swap -27 and -95
  List after swap: [-55, -40, -95, -27, 3, 23, 47, 49, 66, 67]

Pass 8:
  Compare -55 and -40
  No swap needed
  Compare -40 and -95
  Swap -40 and -95
  List after swap: [-55, -95, -40, -27, 3, 23, 47, 49, 66, 67]

Pass 9:
  Compare -55 and -95
  Swap -55 and -95
  List after swap: [-95, -55, -40, -27, 3, 23, 47, 49, 66, 67]

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

Final sorted list: [-95, -55, -40, -27, 3, 23, 47, 49, 66, 67]
</think>

<response>-95, -55, -40, -27, 3, 23, 47, 49, 66, 67</response>


input: Execute bubble sort to sort -72, 54, 28 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-72, 54, 28]

Pass 1:
  Compare -72 and 54
  No swap needed
  Compare 54 and 28
  Swap 54 and 28
  List after swap: [-72, 28, 54]

Pass 2:
  Compare -72 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, 28, 54]
</think>

<response>-72, 28, 54</response>


input: Execute bubble sort to sort -25, 15, 41 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-25, 15, 41]

Pass 1:
  Compare -25 and 15
  No swap needed
  Compare 15 and 41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-25, 15, 41]
</think>

<response>-25, 15, 41</response>


input: Sort these integers 19, 63, 61, 13, 78 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [19, 63, 61, 13, 78]

Pass 1:
  Compare 19 and 63
  No swap needed
  Compare 63 and 61
  Swap 63 and 61
  List after swap: [19, 61, 63, 13, 78]
  Compare 63 and 13
  Swap 63 and 13
  List after swap: [19, 61, 13, 63, 78]
  Compare 63 and 78
  No swap needed

Pass 2:
  Compare 19 and 61
  No swap needed
  Compare 61 and 13
  Swap 61 and 13
  List after swap: [19, 13, 61, 63, 78]
  Compare 61 and 63
  No swap needed

Pass 3:
  Compare 19 and 13
  Swap 19 and 13
  List after swap: [13, 19, 61, 63, 78]
  Compare 19 and 61
  No swap needed

Pass 4:
  Compare 13 and 19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [13, 19, 61, 63, 78]
</think>

<response>13, 19, 61, 63, 78</response>


input: Arrange the numbers -64, 24, 64, 69, 56, -26 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-64, 24, 64, 69, 56, -26]

Pass 1:
  Compare -64 and 24
  No swap needed
  Compare 24 and 64
  No swap needed
  Compare 64 and 69
  No swap needed
  Compare 69 and 56
  Swap 69 and 56
  List after swap: [-64, 24, 64, 56, 69, -26]
  Compare 69 and -26
  Swap 69 and -26
  List after swap: [-64, 24, 64, 56, -26, 69]

Pass 2:
  Compare -64 and 24
  No swap needed
  Compare 24 and 64
  No swap needed
  Compare 64 and 56
  Swap 64 and 56
  List after swap: [-64, 24, 56, 64, -26, 69]
  Compare 64 and -26
  Swap 64 and -26
  List after swap: [-64, 24, 56, -26, 64, 69]

Pass 3:
  Compare -64 and 24
  No swap needed
  Compare 24 and 56
  No swap needed
  Compare 56 and -26
  Swap 56 and -26
  List after swap: [-64, 24, -26, 56, 64, 69]

Pass 4:
  Compare -64 and 24
  No swap needed
  Compare 24 and -26
  Swap 24 and -26
  List after swap: [-64, -26, 24, 56, 64, 69]

Pass 5:
  Compare -64 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -26, 24, 56, 64, 69]
</think>

<response>-64, -26, 24, 56, 64, 69</response>


input: Execute bubble sort to sort 42, -61, -31, -84, 57, 99 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [42, -61, -31, -84, 57, 99]

Pass 1:
  Compare 42 and -61
  Swap 42 and -61
  List after swap: [-61, 42, -31, -84, 57, 99]
  Compare 42 and -31
  Swap 42 and -31
  List after swap: [-61, -31, 42, -84, 57, 99]
  Compare 42 and -84
  Swap 42 and -84
  List after swap: [-61, -31, -84, 42, 57, 99]
  Compare 42 and 57
  No swap needed
  Compare 57 and 99
  No swap needed

Pass 2:
  Compare -61 and -31
  No swap needed
  Compare -31 and -84
  Swap -31 and -84
  List after swap: [-61, -84, -31, 42, 57, 99]
  Compare -31 and 42
  No swap needed
  Compare 42 and 57
  No swap needed

Pass 3:
  Compare -61 and -84
  Swap -61 and -84
  List after swap: [-84, -61, -31, 42, 57, 99]
  Compare -61 and -31
  No swap needed
  Compare -31 and 42
  No swap needed

Pass 4:
  Compare -84 and -61
  No swap needed
  Compare -61 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -61, -31, 42, 57, 99]
</think>

<response>-84, -61, -31, 42, 57, 99</response>


input: Carry out the bubble sort algorithm on -55, 13, 4 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-55, 13, 4]

Pass 1:
  Compare -55 and 13
  No swap needed
  Compare 13 and 4
  Swap 13 and 4
  List after swap: [-55, 4, 13]

Pass 2:
  Compare -55 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, 4, 13]
</think>

<response>-55, 4, 13</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 32, -64.

output:
<think>
Initial list: [32, -64]

Pass 1:
  Compare 32 and -64
  Swap 32 and -64
  List after swap: [-64, 32]

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

Final sorted list: [-64, 32]
</think>

<response>-64, 32</response>


input: Sort the list 90, -16, -68, -92 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [90, -16, -68, -92]

Pass 1:
  Compare 90 and -16
  Swap 90 and -16
  List after swap: [-16, 90, -68, -92]
  Compare 90 and -68
  Swap 90 and -68
  List after swap: [-16, -68, 90, -92]
  Compare 90 and -92
  Swap 90 and -92
  List after swap: [-16, -68, -92, 90]

Pass 2:
  Compare -16 and -68
  Swap -16 and -68
  List after swap: [-68, -16, -92, 90]
  Compare -16 and -92
  Swap -16 and -92
  List after swap: [-68, -92, -16, 90]

Pass 3:
  Compare -68 and -92
  Swap -68 and -92
  List after swap: [-92, -68, -16, 90]

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

Final sorted list: [-92, -68, -16, 90]
</think>

<response>-92, -68, -16, 90</response>


input: Perform a bubble sort on the integers -11, 82, -19, 81, 12, -6, 58, 72, -62, 37, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-11, 82, -19, 81, 12, -6, 58, 72, -62, 37]

Pass 1:
  Compare -11 and 82
  No swap needed
  Compare 82 and -19
  Swap 82 and -19
  List after swap: [-11, -19, 82, 81, 12, -6, 58, 72, -62, 37]
  Compare 82 and 81
  Swap 82 and 81
  List after swap: [-11, -19, 81, 82, 12, -6, 58, 72, -62, 37]
  Compare 82 and 12
  Swap 82 and 12
  List after swap: [-11, -19, 81, 12, 82, -6, 58, 72, -62, 37]
  Compare 82 and -6
  Swap 82 and -6
  List after swap: [-11, -19, 81, 12, -6, 82, 58, 72, -62, 37]
  Compare 82 and 58
  Swap 82 and 58
  List after swap: [-11, -19, 81, 12, -6, 58, 82, 72, -62, 37]
  Compare 82 and 72
  Swap 82 and 72
  List after swap: [-11, -19, 81, 12, -6, 58, 72, 82, -62, 37]
  Compare 82 and -62
  Swap 82 and -62
  List after swap: [-11, -19, 81, 12, -6, 58, 72, -62, 82, 37]
  Compare 82 and 37
  Swap 82 and 37
  List after swap: [-11, -19, 81, 12, -6, 58, 72, -62, 37, 82]

Pass 2:
  Compare -11 and -19
  Swap -11 and -19
  List after swap: [-19, -11, 81, 12, -6, 58, 72, -62, 37, 82]
  Compare -11 and 81
  No swap needed
  Compare 81 and 12
  Swap 81 and 12
  List after swap: [-19, -11, 12, 81, -6, 58, 72, -62, 37, 82]
  Compare 81 and -6
  Swap 81 and -6
  List after swap: [-19, -11, 12, -6, 81, 58, 72, -62, 37, 82]
  Compare 81 and 58
  Swap 81 and 58
  List after swap: [-19, -11, 12, -6, 58, 81, 72, -62, 37, 82]
  Compare 81 and 72
  Swap 81 and 72
  List after swap: [-19, -11, 12, -6, 58, 72, 81, -62, 37, 82]
  Compare 81 and -62
  Swap 81 and -62
  List after swap: [-19, -11, 12, -6, 58, 72, -62, 81, 37, 82]
  Compare 81 and 37
  Swap 81 and 37
  List after swap: [-19, -11, 12, -6, 58, 72, -62, 37, 81, 82]

Pass 3:
  Compare -19 and -11
  No swap needed
  Compare -11 and 12
  No swap needed
  Compare 12 and -6
  Swap 12 and -6
  List after swap: [-19, -11, -6, 12, 58, 72, -62, 37, 81, 82]
  Compare 12 and 58
  No swap needed
  Compare 58 and 72
  No swap needed
  Compare 72 and -62
  Swap 72 and -62
  List after swap: [-19, -11, -6, 12, 58, -62, 72, 37, 81, 82]
  Compare 72 and 37
  Swap 72 and 37
  List after swap: [-19, -11, -6, 12, 58, -62, 37, 72, 81, 82]

Pass 4:
  Compare -19 and -11
  No swap needed
  Compare -11 and -6
  No swap needed
  Compare -6 and 12
  No swap needed
  Compare 12 and 58
  No swap needed
  Compare 58 and -62
  Swap 58 and -62
  List after swap: [-19, -11, -6, 12, -62, 58, 37, 72, 81, 82]
  Compare 58 and 37
  Swap 58 and 37
  List after swap: [-19, -11, -6, 12, -62, 37, 58, 72, 81, 82]

Pass 5:
  Compare -19 and -11
  No swap needed
  Compare -11 and -6
  No swap needed
  Compare -6 and 12
  No swap needed
  Compare 12 and -62
  Swap 12 and -62
  List after swap: [-19, -11, -6, -62, 12, 37, 58, 72, 81, 82]
  Compare 12 and 37
  No swap needed

Pass 6:
  Compare -19 and -11
  No swap needed
  Compare -11 and -6
  No swap needed
  Compare -6 and -62
  Swap -6 and -62
  List after swap: [-19, -11, -62, -6, 12, 37, 58, 72, 81, 82]
  Compare -6 and 12
  No swap needed

Pass 7:
  Compare -19 and -11
  No swap needed
  Compare -11 and -62
  Swap -11 and -62
  List after swap: [-19, -62, -11, -6, 12, 37, 58, 72, 81, 82]
  Compare -11 and -6
  No swap needed

Pass 8:
  Compare -19 and -62
  Swap -19 and -62
  List after swap: [-62, -19, -11, -6, 12, 37, 58, 72, 81, 82]
  Compare -19 and -11
  No swap needed

Pass 9:
  Compare -62 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -19, -11, -6, 12, 37, 58, 72, 81, 82]
</think>

<response>-62, -19, -11, -6, 12, 37, 58, 72, 81, 82</response>


input: Sort these integers -91, 46, 99, -25, 16, 33 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-91, 46, 99, -25, 16, 33]

Pass 1:
  Compare -91 and 46
  No swap needed
  Compare 46 and 99
  No swap needed
  Compare 99 and -25
  Swap 99 and -25
  List after swap: [-91, 46, -25, 99, 16, 33]
  Compare 99 and 16
  Swap 99 and 16
  List after swap: [-91, 46, -25, 16, 99, 33]
  Compare 99 and 33
  Swap 99 and 33
  List after swap: [-91, 46, -25, 16, 33, 99]

Pass 2:
  Compare -91 and 46
  No swap needed
  Compare 46 and -25
  Swap 46 and -25
  List after swap: [-91, -25, 46, 16, 33, 99]
  Compare 46 and 16
  Swap 46 and 16
  List after swap: [-91, -25, 16, 46, 33, 99]
  Compare 46 and 33
  Swap 46 and 33
  List after swap: [-91, -25, 16, 33, 46, 99]

Pass 3:
  Compare -91 and -25
  No swap needed
  Compare -25 and 16
  No swap needed
  Compare 16 and 33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -25, 16, 33, 46, 99]
</think>

<response>-91, -25, 16, 33, 46, 99</response>


input: Implement bubble sort on 45, 99, 16, -82, 70, -68, -32, 47 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [45, 99, 16, -82, 70, -68, -32, 47]

Pass 1:
  Compare 45 and 99
  No swap needed
  Compare 99 and 16
  Swap 99 and 16
  List after swap: [45, 16, 99, -82, 70, -68, -32, 47]
  Compare 99 and -82
  Swap 99 and -82
  List after swap: [45, 16, -82, 99, 70, -68, -32, 47]
  Compare 99 and 70
  Swap 99 and 70
  List after swap: [45, 16, -82, 70, 99, -68, -32, 47]
  Compare 99 and -68
  Swap 99 and -68
  List after swap: [45, 16, -82, 70, -68, 99, -32, 47]
  Compare 99 and -32
  Swap 99 and -32
  List after swap: [45, 16, -82, 70, -68, -32, 99, 47]
  Compare 99 and 47
  Swap 99 and 47
  List after swap: [45, 16, -82, 70, -68, -32, 47, 99]

Pass 2:
  Compare 45 and 16
  Swap 45 and 16
  List after swap: [16, 45, -82, 70, -68, -32, 47, 99]
  Compare 45 and -82
  Swap 45 and -82
  List after swap: [16, -82, 45, 70, -68, -32, 47, 99]
  Compare 45 and 70
  No swap needed
  Compare 70 and -68
  Swap 70 and -68
  List after swap: [16, -82, 45, -68, 70, -32, 47, 99]
  Compare 70 and -32
  Swap 70 and -32
  List after swap: [16, -82, 45, -68, -32, 70, 47, 99]
  Compare 70 and 47
  Swap 70 and 47
  List after swap: [16, -82, 45, -68, -32, 47, 70, 99]

Pass 3:
  Compare 16 and -82
  Swap 16 and -82
  List after swap: [-82, 16, 45, -68, -32, 47, 70, 99]
  Compare 16 and 45
  No swap needed
  Compare 45 and -68
  Swap 45 and -68
  List after swap: [-82, 16, -68, 45, -32, 47, 70, 99]
  Compare 45 and -32
  Swap 45 and -32
  List after swap: [-82, 16, -68, -32, 45, 47, 70, 99]
  Compare 45 and 47
  No swap needed

Pass 4:
  Compare -82 and 16
  No swap needed
  Compare 16 and -68
  Swap 16 and -68
  List after swap: [-82, -68, 16, -32, 45, 47, 70, 99]
  Compare 16 and -32
  Swap 16 and -32
  List after swap: [-82, -68, -32, 16, 45, 47, 70, 99]
  Compare 16 and 45
  No swap needed

Pass 5:
  Compare -82 and -68
  No swap needed
  Compare -68 and -32
  No swap needed
  Compare -32 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -68, -32, 16, 45, 47, 70, 99]
</think>

<response>-82, -68, -32, 16, 45, 47, 70, 99</response>


input: Using the bubble sort method, sort -18, 30, -31, -89, -37, 75, 76, -28, -68 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-18, 30, -31, -89, -37, 75, 76, -28, -68]

Pass 1:
  Compare -18 and 30
  No swap needed
  Compare 30 and -31
  Swap 30 and -31
  List after swap: [-18, -31, 30, -89, -37, 75, 76, -28, -68]
  Compare 30 and -89
  Swap 30 and -89
  List after swap: [-18, -31, -89, 30, -37, 75, 76, -28, -68]
  Compare 30 and -37
  Swap 30 and -37
  List after swap: [-18, -31, -89, -37, 30, 75, 76, -28, -68]
  Compare 30 and 75
  No swap needed
  Compare 75 and 76
  No swap needed
  Compare 76 and -28
  Swap 76 and -28
  List after swap: [-18, -31, -89, -37, 30, 75, -28, 76, -68]
  Compare 76 and -68
  Swap 76 and -68
  List after swap: [-18, -31, -89, -37, 30, 75, -28, -68, 76]

Pass 2:
  Compare -18 and -31
  Swap -18 and -31
  List after swap: [-31, -18, -89, -37, 30, 75, -28, -68, 76]
  Compare -18 and -89
  Swap -18 and -89
  List after swap: [-31, -89, -18, -37, 30, 75, -28, -68, 76]
  Compare -18 and -37
  Swap -18 and -37
  List after swap: [-31, -89, -37, -18, 30, 75, -28, -68, 76]
  Compare -18 and 30
  No swap needed
  Compare 30 and 75
  No swap needed
  Compare 75 and -28
  Swap 75 and -28
  List after swap: [-31, -89, -37, -18, 30, -28, 75, -68, 76]
  Compare 75 and -68
  Swap 75 and -68
  List after swap: [-31, -89, -37, -18, 30, -28, -68, 75, 76]

Pass 3:
  Compare -31 and -89
  Swap -31 and -89
  List after swap: [-89, -31, -37, -18, 30, -28, -68, 75, 76]
  Compare -31 and -37
  Swap -31 and -37
  List after swap: [-89, -37, -31, -18, 30, -28, -68, 75, 76]
  Compare -31 and -18
  No swap needed
  Compare -18 and 30
  No swap needed
  Compare 30 and -28
  Swap 30 and -28
  List after swap: [-89, -37, -31, -18, -28, 30, -68, 75, 76]
  Compare 30 and -68
  Swap 30 and -68
  List after swap: [-89, -37, -31, -18, -28, -68, 30, 75, 76]

Pass 4:
  Compare -89 and -37
  No swap needed
  Compare -37 and -31
  No swap needed
  Compare -31 and -18
  No swap needed
  Compare -18 and -28
  Swap -18 and -28
  List after swap: [-89, -37, -31, -28, -18, -68, 30, 75, 76]
  Compare -18 and -68
  Swap -18 and -68
  List after swap: [-89, -37, -31, -28, -68, -18, 30, 75, 76]

Pass 5:
  Compare -89 and -37
  No swap needed
  Compare -37 and -31
  No swap needed
  Compare -31 and -28
  No swap needed
  Compare -28 and -68
  Swap -28 and -68
  List after swap: [-89, -37, -31, -68, -28, -18, 30, 75, 76]

Pass 6:
  Compare -89 and -37
  No swap needed
  Compare -37 and -31
  No swap needed
  Compare -31 and -68
  Swap -31 and -68
  List after swap: [-89, -37, -68, -31, -28, -18, 30, 75, 76]

Pass 7:
  Compare -89 and -37
  No swap needed
  Compare -37 and -68
  Swap -37 and -68
  List after swap: [-89, -68, -37, -31, -28, -18, 30, 75, 76]

Pass 8:
  Compare -89 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -68, -37, -31, -28, -18, 30, 75, 76]
</think>

<response>-89, -68, -37, -31, -28, -18, 30, 75, 76</response>


input: Execute bubble sort to sort 82, 67, 60, 53 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [82, 67, 60, 53]

Pass 1:
  Compare 82 and 67
  Swap 82 and 67
  List after swap: [67, 82, 60, 53]
  Compare 82 and 60
  Swap 82 and 60
  List after swap: [67, 60, 82, 53]
  Compare 82 and 53
  Swap 82 and 53
  List after swap: [67, 60, 53, 82]

Pass 2:
  Compare 67 and 60
  Swap 67 and 60
  List after swap: [60, 67, 53, 82]
  Compare 67 and 53
  Swap 67 and 53
  List after swap: [60, 53, 67, 82]

Pass 3:
  Compare 60 and 53
  Swap 60 and 53
  List after swap: [53, 60, 67, 82]

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

Final sorted list: [53, 60, 67, 82]
</think>

<response>53, 60, 67, 82</response>


input: Perform a bubble sort on the integers -39, 56, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-39, 56]

Pass 1:
  Compare -39 and 56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-39, 56]
</think>

<response>-39, 56</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 10, 9, -82, -27, 17, -41.

output:
<think>
Initial list: [10, 9, -82, -27, 17, -41]

Pass 1:
  Compare 10 and 9
  Swap 10 and 9
  List after swap: [9, 10, -82, -27, 17, -41]
  Compare 10 and -82
  Swap 10 and -82
  List after swap: [9, -82, 10, -27, 17, -41]
  Compare 10 and -27
  Swap 10 and -27
  List after swap: [9, -82, -27, 10, 17, -41]
  Compare 10 and 17
  No swap needed
  Compare 17 and -41
  Swap 17 and -41
  List after swap: [9, -82, -27, 10, -41, 17]

Pass 2:
  Compare 9 and -82
  Swap 9 and -82
  List after swap: [-82, 9, -27, 10, -41, 17]
  Compare 9 and -27
  Swap 9 and -27
  List after swap: [-82, -27, 9, 10, -41, 17]
  Compare 9 and 10
  No swap needed
  Compare 10 and -41
  Swap 10 and -41
  List after swap: [-82, -27, 9, -41, 10, 17]

Pass 3:
  Compare -82 and -27
  No swap needed
  Compare -27 and 9
  No swap needed
  Compare 9 and -41
  Swap 9 and -41
  List after swap: [-82, -27, -41, 9, 10, 17]

Pass 4:
  Compare -82 and -27
  No swap needed
  Compare -27 and -41
  Swap -27 and -41
  List after swap: [-82, -41, -27, 9, 10, 17]

Pass 5:
  Compare -82 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -41, -27, 9, 10, 17]
</think>

<response>-82, -41, -27, 9, 10, 17</response>


input: Execute bubble sort to sort 69, 93, 53, 56, -69, 2, -97, -29, 55, 57 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [69, 93, 53, 56, -69, 2, -97, -29, 55, 57]

Pass 1:
  Compare 69 and 93
  No swap needed
  Compare 93 and 53
  Swap 93 and 53
  List after swap: [69, 53, 93, 56, -69, 2, -97, -29, 55, 57]
  Compare 93 and 56
  Swap 93 and 56
  List after swap: [69, 53, 56, 93, -69, 2, -97, -29, 55, 57]
  Compare 93 and -69
  Swap 93 and -69
  List after swap: [69, 53, 56, -69, 93, 2, -97, -29, 55, 57]
  Compare 93 and 2
  Swap 93 and 2
  List after swap: [69, 53, 56, -69, 2, 93, -97, -29, 55, 57]
  Compare 93 and -97
  Swap 93 and -97
  List after swap: [69, 53, 56, -69, 2, -97, 93, -29, 55, 57]
  Compare 93 and -29
  Swap 93 and -29
  List after swap: [69, 53, 56, -69, 2, -97, -29, 93, 55, 57]
  Compare 93 and 55
  Swap 93 and 55
  List after swap: [69, 53, 56, -69, 2, -97, -29, 55, 93, 57]
  Compare 93 and 57
  Swap 93 and 57
  List after swap: [69, 53, 56, -69, 2, -97, -29, 55, 57, 93]

Pass 2:
  Compare 69 and 53
  Swap 69 and 53
  List after swap: [53, 69, 56, -69, 2, -97, -29, 55, 57, 93]
  Compare 69 and 56
  Swap 69 and 56
  List after swap: [53, 56, 69, -69, 2, -97, -29, 55, 57, 93]
  Compare 69 and -69
  Swap 69 and -69
  List after swap: [53, 56, -69, 69, 2, -97, -29, 55, 57, 93]
  Compare 69 and 2
  Swap 69 and 2
  List after swap: [53, 56, -69, 2, 69, -97, -29, 55, 57, 93]
  Compare 69 and -97
  Swap 69 and -97
  List after swap: [53, 56, -69, 2, -97, 69, -29, 55, 57, 93]
  Compare 69 and -29
  Swap 69 and -29
  List after swap: [53, 56, -69, 2, -97, -29, 69, 55, 57, 93]
  Compare 69 and 55
  Swap 69 and 55
  List after swap: [53, 56, -69, 2, -97, -29, 55, 69, 57, 93]
  Compare 69 and 57
  Swap 69 and 57
  List after swap: [53, 56, -69, 2, -97, -29, 55, 57, 69, 93]

Pass 3:
  Compare 53 and 56
  No swap needed
  Compare 56 and -69
  Swap 56 and -69
  List after swap: [53, -69, 56, 2, -97, -29, 55, 57, 69, 93]
  Compare 56 and 2
  Swap 56 and 2
  List after swap: [53, -69, 2, 56, -97, -29, 55, 57, 69, 93]
  Compare 56 and -97
  Swap 56 and -97
  List after swap: [53, -69, 2, -97, 56, -29, 55, 57, 69, 93]
  Compare 56 and -29
  Swap 56 and -29
  List after swap: [53, -69, 2, -97, -29, 56, 55, 57, 69, 93]
  Compare 56 and 55
  Swap 56 and 55
  List after swap: [53, -69, 2, -97, -29, 55, 56, 57, 69, 93]
  Compare 56 and 57
  No swap needed

Pass 4:
  Compare 53 and -69
  Swap 53 and -69
  List after swap: [-69, 53, 2, -97, -29, 55, 56, 57, 69, 93]
  Compare 53 and 2
  Swap 53 and 2
  List after swap: [-69, 2, 53, -97, -29, 55, 56, 57, 69, 93]
  Compare 53 and -97
  Swap 53 and -97
  List after swap: [-69, 2, -97, 53, -29, 55, 56, 57, 69, 93]
  Compare 53 and -29
  Swap 53 and -29
  List after swap: [-69, 2, -97, -29, 53, 55, 56, 57, 69, 93]
  Compare 53 and 55
  No swap needed
  Compare 55 and 56
  No swap needed

Pass 5:
  Compare -69 and 2
  No swap needed
  Compare 2 and -97
  Swap 2 and -97
  List after swap: [-69, -97, 2, -29, 53, 55, 56, 57, 69, 93]
  Compare 2 and -29
  Swap 2 and -29
  List after swap: [-69, -97, -29, 2, 53, 55, 56, 57, 69, 93]
  Compare 2 and 53
  No swap needed
  Compare 53 and 55
  No swap needed

Pass 6:
  Compare -69 and -97
  Swap -69 and -97
  List after swap: [-97, -69, -29, 2, 53, 55, 56, 57, 69, 93]
  Compare -69 and -29
  No swap needed
  Compare -29 and 2
  No swap needed
  Compare 2 and 53
  No swap needed

Pass 7:
  Compare -97 and -69
  No swap needed
  Compare -69 and -29
  No swap needed
  Compare -29 and 2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -69, -29, 2, 53, 55, 56, 57, 69, 93]
</think>

<response>-97, -69, -29, 2, 53, 55, 56, 57, 69, 93</response>


input: Carry out the bubble sort algorithm on -57, 85, 42, 40, -97, 32, 77, -52, 54, 19 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-57, 85, 42, 40, -97, 32, 77, -52, 54, 19]

Pass 1:
  Compare -57 and 85
  No swap needed
  Compare 85 and 42
  Swap 85 and 42
  List after swap: [-57, 42, 85, 40, -97, 32, 77, -52, 54, 19]
  Compare 85 and 40
  Swap 85 and 40
  List after swap: [-57, 42, 40, 85, -97, 32, 77, -52, 54, 19]
  Compare 85 and -97
  Swap 85 and -97
  List after swap: [-57, 42, 40, -97, 85, 32, 77, -52, 54, 19]
  Compare 85 and 32
  Swap 85 and 32
  List after swap: [-57, 42, 40, -97, 32, 85, 77, -52, 54, 19]
  Compare 85 and 77
  Swap 85 and 77
  List after swap: [-57, 42, 40, -97, 32, 77, 85, -52, 54, 19]
  Compare 85 and -52
  Swap 85 and -52
  List after swap: [-57, 42, 40, -97, 32, 77, -52, 85, 54, 19]
  Compare 85 and 54
  Swap 85 and 54
  List after swap: [-57, 42, 40, -97, 32, 77, -52, 54, 85, 19]
  Compare 85 and 19
  Swap 85 and 19
  List after swap: [-57, 42, 40, -97, 32, 77, -52, 54, 19, 85]

Pass 2:
  Compare -57 and 42
  No swap needed
  Compare 42 and 40
  Swap 42 and 40
  List after swap: [-57, 40, 42, -97, 32, 77, -52, 54, 19, 85]
  Compare 42 and -97
  Swap 42 and -97
  List after swap: [-57, 40, -97, 42, 32, 77, -52, 54, 19, 85]
  Compare 42 and 32
  Swap 42 and 32
  List after swap: [-57, 40, -97, 32, 42, 77, -52, 54, 19, 85]
  Compare 42 and 77
  No swap needed
  Compare 77 and -52
  Swap 77 and -52
  List after swap: [-57, 40, -97, 32, 42, -52, 77, 54, 19, 85]
  Compare 77 and 54
  Swap 77 and 54
  List after swap: [-57, 40, -97, 32, 42, -52, 54, 77, 19, 85]
  Compare 77 and 19
  Swap 77 and 19
  List after swap: [-57, 40, -97, 32, 42, -52, 54, 19, 77, 85]

Pass 3:
  Compare -57 and 40
  No swap needed
  Compare 40 and -97
  Swap 40 and -97
  List after swap: [-57, -97, 40, 32, 42, -52, 54, 19, 77, 85]
  Compare 40 and 32
  Swap 40 and 32
  List after swap: [-57, -97, 32, 40, 42, -52, 54, 19, 77, 85]
  Compare 40 and 42
  No swap needed
  Compare 42 and -52
  Swap 42 and -52
  List after swap: [-57, -97, 32, 40, -52, 42, 54, 19, 77, 85]
  Compare 42 and 54
  No swap needed
  Compare 54 and 19
  Swap 54 and 19
  List after swap: [-57, -97, 32, 40, -52, 42, 19, 54, 77, 85]

Pass 4:
  Compare -57 and -97
  Swap -57 and -97
  List after swap: [-97, -57, 32, 40, -52, 42, 19, 54, 77, 85]
  Compare -57 and 32
  No swap needed
  Compare 32 and 40
  No swap needed
  Compare 40 and -52
  Swap 40 and -52
  List after swap: [-97, -57, 32, -52, 40, 42, 19, 54, 77, 85]
  Compare 40 and 42
  No swap needed
  Compare 42 and 19
  Swap 42 and 19
  List after swap: [-97, -57, 32, -52, 40, 19, 42, 54, 77, 85]

Pass 5:
  Compare -97 and -57
  No swap needed
  Compare -57 and 32
  No swap needed
  Compare 32 and -52
  Swap 32 and -52
  List after swap: [-97, -57, -52, 32, 40, 19, 42, 54, 77, 85]
  Compare 32 and 40
  No swap needed
  Compare 40 and 19
  Swap 40 and 19
  List after swap: [-97, -57, -52, 32, 19, 40, 42, 54, 77, 85]

Pass 6:
  Compare -97 and -57
  No swap needed
  Compare -57 and -52
  No swap needed
  Compare -52 and 32
  No swap needed
  Compare 32 and 19
  Swap 32 and 19
  List after swap: [-97, -57, -52, 19, 32, 40, 42, 54, 77, 85]

Pass 7:
  Compare -97 and -57
  No swap needed
  Compare -57 and -52
  No swap needed
  Compare -52 and 19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -57, -52, 19, 32, 40, 42, 54, 77, 85]
</think>

<response>-97, -57, -52, 19, 32, 40, 42, 54, 77, 85</response>


input: Execute bubble sort to sort -1, 30, 71, 29, -89, -44, -29, 38 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-1, 30, 71, 29, -89, -44, -29, 38]

Pass 1:
  Compare -1 and 30
  No swap needed
  Compare 30 and 71
  No swap needed
  Compare 71 and 29
  Swap 71 and 29
  List after swap: [-1, 30, 29, 71, -89, -44, -29, 38]
  Compare 71 and -89
  Swap 71 and -89
  List after swap: [-1, 30, 29, -89, 71, -44, -29, 38]
  Compare 71 and -44
  Swap 71 and -44
  List after swap: [-1, 30, 29, -89, -44, 71, -29, 38]
  Compare 71 and -29
  Swap 71 and -29
  List after swap: [-1, 30, 29, -89, -44, -29, 71, 38]
  Compare 71 and 38
  Swap 71 and 38
  List after swap: [-1, 30, 29, -89, -44, -29, 38, 71]

Pass 2:
  Compare -1 and 30
  No swap needed
  Compare 30 and 29
  Swap 30 and 29
  List after swap: [-1, 29, 30, -89, -44, -29, 38, 71]
  Compare 30 and -89
  Swap 30 and -89
  List after swap: [-1, 29, -89, 30, -44, -29, 38, 71]
  Compare 30 and -44
  Swap 30 and -44
  List after swap: [-1, 29, -89, -44, 30, -29, 38, 71]
  Compare 30 and -29
  Swap 30 and -29
  List after swap: [-1, 29, -89, -44, -29, 30, 38, 71]
  Compare 30 and 38
  No swap needed

Pass 3:
  Compare -1 and 29
  No swap needed
  Compare 29 and -89
  Swap 29 and -89
  List after swap: [-1, -89, 29, -44, -29, 30, 38, 71]
  Compare 29 and -44
  Swap 29 and -44
  List after swap: [-1, -89, -44, 29, -29, 30, 38, 71]
  Compare 29 and -29
  Swap 29 and -29
  List after swap: [-1, -89, -44, -29, 29, 30, 38, 71]
  Compare 29 and 30
  No swap needed

Pass 4:
  Compare -1 and -89
  Swap -1 and -89
  List after swap: [-89, -1, -44, -29, 29, 30, 38, 71]
  Compare -1 and -44
  Swap -1 and -44
  List after swap: [-89, -44, -1, -29, 29, 30, 38, 71]
  Compare -1 and -29
  Swap -1 and -29
  List after swap: [-89, -44, -29, -1, 29, 30, 38, 71]
  Compare -1 and 29
  No swap needed

Pass 5:
  Compare -89 and -44
  No swap needed
  Compare -44 and -29
  No swap needed
  Compare -29 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -44, -29, -1, 29, 30, 38, 71]
</think>

<response>-89, -44, -29, -1, 29, 30, 38, 71</response>


input: Sort the list -84, -87, -79, 48, -25, 36, 91 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-84, -87, -79, 48, -25, 36, 91]

Pass 1:
  Compare -84 and -87
  Swap -84 and -87
  List after swap: [-87, -84, -79, 48, -25, 36, 91]
  Compare -84 and -79
  No swap needed
  Compare -79 and 48
  No swap needed
  Compare 48 and -25
  Swap 48 and -25
  List after swap: [-87, -84, -79, -25, 48, 36, 91]
  Compare 48 and 36
  Swap 48 and 36
  List after swap: [-87, -84, -79, -25, 36, 48, 91]
  Compare 48 and 91
  No swap needed

Pass 2:
  Compare -87 and -84
  No swap needed
  Compare -84 and -79
  No swap needed
  Compare -79 and -25
  No swap needed
  Compare -25 and 36
  No swap needed
  Compare 36 and 48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -84, -79, -25, 36, 48, 91]
</think>

<response>-87, -84, -79, -25, 36, 48, 91</response>


input: Perform a bubble sort on the integers -76, 69, -30, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-76, 69, -30]

Pass 1:
  Compare -76 and 69
  No swap needed
  Compare 69 and -30
  Swap 69 and -30
  List after swap: [-76, -30, 69]

Pass 2:
  Compare -76 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -30, 69]
</think>

<response>-76, -30, 69</response>


input: Using the bubble sort method, sort 66, -65, 54, 38, 75, -74, 73 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [66, -65, 54, 38, 75, -74, 73]

Pass 1:
  Compare 66 and -65
  Swap 66 and -65
  List after swap: [-65, 66, 54, 38, 75, -74, 73]
  Compare 66 and 54
  Swap 66 and 54
  List after swap: [-65, 54, 66, 38, 75, -74, 73]
  Compare 66 and 38
  Swap 66 and 38
  List after swap: [-65, 54, 38, 66, 75, -74, 73]
  Compare 66 and 75
  No swap needed
  Compare 75 and -74
  Swap 75 and -74
  List after swap: [-65, 54, 38, 66, -74, 75, 73]
  Compare 75 and 73
  Swap 75 and 73
  List after swap: [-65, 54, 38, 66, -74, 73, 75]

Pass 2:
  Compare -65 and 54
  No swap needed
  Compare 54 and 38
  Swap 54 and 38
  List after swap: [-65, 38, 54, 66, -74, 73, 75]
  Compare 54 and 66
  No swap needed
  Compare 66 and -74
  Swap 66 and -74
  List after swap: [-65, 38, 54, -74, 66, 73, 75]
  Compare 66 and 73
  No swap needed

Pass 3:
  Compare -65 and 38
  No swap needed
  Compare 38 and 54
  No swap needed
  Compare 54 and -74
  Swap 54 and -74
  List after swap: [-65, 38, -74, 54, 66, 73, 75]
  Compare 54 and 66
  No swap needed

Pass 4:
  Compare -65 and 38
  No swap needed
  Compare 38 and -74
  Swap 38 and -74
  List after swap: [-65, -74, 38, 54, 66, 73, 75]
  Compare 38 and 54
  No swap needed

Pass 5:
  Compare -65 and -74
  Swap -65 and -74
  List after swap: [-74, -65, 38, 54, 66, 73, 75]
  Compare -65 and 38
  No swap needed

Pass 6:
  Compare -74 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -65, 38, 54, 66, 73, 75]
</think>

<response>-74, -65, 38, 54, 66, 73, 75</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -50, -58, 71, -93.

output:
<think>
Initial list: [-50, -58, 71, -93]

Pass 1:
  Compare -50 and -58
  Swap -50 and -58
  List after swap: [-58, -50, 71, -93]
  Compare -50 and 71
  No swap needed
  Compare 71 and -93
  Swap 71 and -93
  List after swap: [-58, -50, -93, 71]

Pass 2:
  Compare -58 and -50
  No swap needed
  Compare -50 and -93
  Swap -50 and -93
  List after swap: [-58, -93, -50, 71]

Pass 3:
  Compare -58 and -93
  Swap -58 and -93
  List after swap: [-93, -58, -50, 71]

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

Final sorted list: [-93, -58, -50, 71]
</think>

<response>-93, -58, -50, 71</response>