input: Carry out the bubble sort algorithm on -39, 35, -44, -81, -49, -67, 55, -20, 78 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-39, 35, -44, -81, -49, -67, 55, -20, 78]

Pass 1:
  Compare -39 and 35
  No swap needed
  Compare 35 and -44
  Swap 35 and -44
  List after swap: [-39, -44, 35, -81, -49, -67, 55, -20, 78]
  Compare 35 and -81
  Swap 35 and -81
  List after swap: [-39, -44, -81, 35, -49, -67, 55, -20, 78]
  Compare 35 and -49
  Swap 35 and -49
  List after swap: [-39, -44, -81, -49, 35, -67, 55, -20, 78]
  Compare 35 and -67
  Swap 35 and -67
  List after swap: [-39, -44, -81, -49, -67, 35, 55, -20, 78]
  Compare 35 and 55
  No swap needed
  Compare 55 and -20
  Swap 55 and -20
  List after swap: [-39, -44, -81, -49, -67, 35, -20, 55, 78]
  Compare 55 and 78
  No swap needed

Pass 2:
  Compare -39 and -44
  Swap -39 and -44
  List after swap: [-44, -39, -81, -49, -67, 35, -20, 55, 78]
  Compare -39 and -81
  Swap -39 and -81
  List after swap: [-44, -81, -39, -49, -67, 35, -20, 55, 78]
  Compare -39 and -49
  Swap -39 and -49
  List after swap: [-44, -81, -49, -39, -67, 35, -20, 55, 78]
  Compare -39 and -67
  Swap -39 and -67
  List after swap: [-44, -81, -49, -67, -39, 35, -20, 55, 78]
  Compare -39 and 35
  No swap needed
  Compare 35 and -20
  Swap 35 and -20
  List after swap: [-44, -81, -49, -67, -39, -20, 35, 55, 78]
  Compare 35 and 55
  No swap needed

Pass 3:
  Compare -44 and -81
  Swap -44 and -81
  List after swap: [-81, -44, -49, -67, -39, -20, 35, 55, 78]
  Compare -44 and -49
  Swap -44 and -49
  List after swap: [-81, -49, -44, -67, -39, -20, 35, 55, 78]
  Compare -44 and -67
  Swap -44 and -67
  List after swap: [-81, -49, -67, -44, -39, -20, 35, 55, 78]
  Compare -44 and -39
  No swap needed
  Compare -39 and -20
  No swap needed
  Compare -20 and 35
  No swap needed

Pass 4:
  Compare -81 and -49
  No swap needed
  Compare -49 and -67
  Swap -49 and -67
  List after swap: [-81, -67, -49, -44, -39, -20, 35, 55, 78]
  Compare -49 and -44
  No swap needed
  Compare -44 and -39
  No swap needed
  Compare -39 and -20
  No swap needed

Pass 5:
  Compare -81 and -67
  No swap needed
  Compare -67 and -49
  No swap needed
  Compare -49 and -44
  No swap needed
  Compare -44 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -67, -49, -44, -39, -20, 35, 55, 78]
</think>

<response>-81, -67, -49, -44, -39, -20, 35, 55, 78</response>


input: Implement bubble sort on -22, 87, 11, 98 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-22, 87, 11, 98]

Pass 1:
  Compare -22 and 87
  No swap needed
  Compare 87 and 11
  Swap 87 and 11
  List after swap: [-22, 11, 87, 98]
  Compare 87 and 98
  No swap needed

Pass 2:
  Compare -22 and 11
  No swap needed
  Compare 11 and 87
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-22, 11, 87, 98]
</think>

<response>-22, 11, 87, 98</response>


input: Sort the list 6, -15, 2 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [6, -15, 2]

Pass 1:
  Compare 6 and -15
  Swap 6 and -15
  List after swap: [-15, 6, 2]
  Compare 6 and 2
  Swap 6 and 2
  List after swap: [-15, 2, 6]

Pass 2:
  Compare -15 and 2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-15, 2, 6]
</think>

<response>-15, 2, 6</response>


input: Arrange the numbers 93, 70, -72, -89, 33, 81, 77, 4, 76 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [93, 70, -72, -89, 33, 81, 77, 4, 76]

Pass 1:
  Compare 93 and 70
  Swap 93 and 70
  List after swap: [70, 93, -72, -89, 33, 81, 77, 4, 76]
  Compare 93 and -72
  Swap 93 and -72
  List after swap: [70, -72, 93, -89, 33, 81, 77, 4, 76]
  Compare 93 and -89
  Swap 93 and -89
  List after swap: [70, -72, -89, 93, 33, 81, 77, 4, 76]
  Compare 93 and 33
  Swap 93 and 33
  List after swap: [70, -72, -89, 33, 93, 81, 77, 4, 76]
  Compare 93 and 81
  Swap 93 and 81
  List after swap: [70, -72, -89, 33, 81, 93, 77, 4, 76]
  Compare 93 and 77
  Swap 93 and 77
  List after swap: [70, -72, -89, 33, 81, 77, 93, 4, 76]
  Compare 93 and 4
  Swap 93 and 4
  List after swap: [70, -72, -89, 33, 81, 77, 4, 93, 76]
  Compare 93 and 76
  Swap 93 and 76
  List after swap: [70, -72, -89, 33, 81, 77, 4, 76, 93]

Pass 2:
  Compare 70 and -72
  Swap 70 and -72
  List after swap: [-72, 70, -89, 33, 81, 77, 4, 76, 93]
  Compare 70 and -89
  Swap 70 and -89
  List after swap: [-72, -89, 70, 33, 81, 77, 4, 76, 93]
  Compare 70 and 33
  Swap 70 and 33
  List after swap: [-72, -89, 33, 70, 81, 77, 4, 76, 93]
  Compare 70 and 81
  No swap needed
  Compare 81 and 77
  Swap 81 and 77
  List after swap: [-72, -89, 33, 70, 77, 81, 4, 76, 93]
  Compare 81 and 4
  Swap 81 and 4
  List after swap: [-72, -89, 33, 70, 77, 4, 81, 76, 93]
  Compare 81 and 76
  Swap 81 and 76
  List after swap: [-72, -89, 33, 70, 77, 4, 76, 81, 93]

Pass 3:
  Compare -72 and -89
  Swap -72 and -89
  List after swap: [-89, -72, 33, 70, 77, 4, 76, 81, 93]
  Compare -72 and 33
  No swap needed
  Compare 33 and 70
  No swap needed
  Compare 70 and 77
  No swap needed
  Compare 77 and 4
  Swap 77 and 4
  List after swap: [-89, -72, 33, 70, 4, 77, 76, 81, 93]
  Compare 77 and 76
  Swap 77 and 76
  List after swap: [-89, -72, 33, 70, 4, 76, 77, 81, 93]

Pass 4:
  Compare -89 and -72
  No swap needed
  Compare -72 and 33
  No swap needed
  Compare 33 and 70
  No swap needed
  Compare 70 and 4
  Swap 70 and 4
  List after swap: [-89, -72, 33, 4, 70, 76, 77, 81, 93]
  Compare 70 and 76
  No swap needed

Pass 5:
  Compare -89 and -72
  No swap needed
  Compare -72 and 33
  No swap needed
  Compare 33 and 4
  Swap 33 and 4
  List after swap: [-89, -72, 4, 33, 70, 76, 77, 81, 93]
  Compare 33 and 70
  No swap needed

Pass 6:
  Compare -89 and -72
  No swap needed
  Compare -72 and 4
  No swap needed
  Compare 4 and 33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -72, 4, 33, 70, 76, 77, 81, 93]
</think>

<response>-89, -72, 4, 33, 70, 76, 77, 81, 93</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 93, -10, -28, -71, 50, -88, -54, 64, -56.

output:
<think>
Initial list: [93, -10, -28, -71, 50, -88, -54, 64, -56]

Pass 1:
  Compare 93 and -10
  Swap 93 and -10
  List after swap: [-10, 93, -28, -71, 50, -88, -54, 64, -56]
  Compare 93 and -28
  Swap 93 and -28
  List after swap: [-10, -28, 93, -71, 50, -88, -54, 64, -56]
  Compare 93 and -71
  Swap 93 and -71
  List after swap: [-10, -28, -71, 93, 50, -88, -54, 64, -56]
  Compare 93 and 50
  Swap 93 and 50
  List after swap: [-10, -28, -71, 50, 93, -88, -54, 64, -56]
  Compare 93 and -88
  Swap 93 and -88
  List after swap: [-10, -28, -71, 50, -88, 93, -54, 64, -56]
  Compare 93 and -54
  Swap 93 and -54
  List after swap: [-10, -28, -71, 50, -88, -54, 93, 64, -56]
  Compare 93 and 64
  Swap 93 and 64
  List after swap: [-10, -28, -71, 50, -88, -54, 64, 93, -56]
  Compare 93 and -56
  Swap 93 and -56
  List after swap: [-10, -28, -71, 50, -88, -54, 64, -56, 93]

Pass 2:
  Compare -10 and -28
  Swap -10 and -28
  List after swap: [-28, -10, -71, 50, -88, -54, 64, -56, 93]
  Compare -10 and -71
  Swap -10 and -71
  List after swap: [-28, -71, -10, 50, -88, -54, 64, -56, 93]
  Compare -10 and 50
  No swap needed
  Compare 50 and -88
  Swap 50 and -88
  List after swap: [-28, -71, -10, -88, 50, -54, 64, -56, 93]
  Compare 50 and -54
  Swap 50 and -54
  List after swap: [-28, -71, -10, -88, -54, 50, 64, -56, 93]
  Compare 50 and 64
  No swap needed
  Compare 64 and -56
  Swap 64 and -56
  List after swap: [-28, -71, -10, -88, -54, 50, -56, 64, 93]

Pass 3:
  Compare -28 and -71
  Swap -28 and -71
  List after swap: [-71, -28, -10, -88, -54, 50, -56, 64, 93]
  Compare -28 and -10
  No swap needed
  Compare -10 and -88
  Swap -10 and -88
  List after swap: [-71, -28, -88, -10, -54, 50, -56, 64, 93]
  Compare -10 and -54
  Swap -10 and -54
  List after swap: [-71, -28, -88, -54, -10, 50, -56, 64, 93]
  Compare -10 and 50
  No swap needed
  Compare 50 and -56
  Swap 50 and -56
  List after swap: [-71, -28, -88, -54, -10, -56, 50, 64, 93]

Pass 4:
  Compare -71 and -28
  No swap needed
  Compare -28 and -88
  Swap -28 and -88
  List after swap: [-71, -88, -28, -54, -10, -56, 50, 64, 93]
  Compare -28 and -54
  Swap -28 and -54
  List after swap: [-71, -88, -54, -28, -10, -56, 50, 64, 93]
  Compare -28 and -10
  No swap needed
  Compare -10 and -56
  Swap -10 and -56
  List after swap: [-71, -88, -54, -28, -56, -10, 50, 64, 93]

Pass 5:
  Compare -71 and -88
  Swap -71 and -88
  List after swap: [-88, -71, -54, -28, -56, -10, 50, 64, 93]
  Compare -71 and -54
  No swap needed
  Compare -54 and -28
  No swap needed
  Compare -28 and -56
  Swap -28 and -56
  List after swap: [-88, -71, -54, -56, -28, -10, 50, 64, 93]

Pass 6:
  Compare -88 and -71
  No swap needed
  Compare -71 and -54
  No swap needed
  Compare -54 and -56
  Swap -54 and -56
  List after swap: [-88, -71, -56, -54, -28, -10, 50, 64, 93]

Pass 7:
  Compare -88 and -71
  No swap needed
  Compare -71 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -71, -56, -54, -28, -10, 50, 64, 93]
</think>

<response>-88, -71, -56, -54, -28, -10, 50, 64, 93</response>


input: Use the bubble sort technique to reorder 38, -99 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [38, -99]

Pass 1:
  Compare 38 and -99
  Swap 38 and -99
  List after swap: [-99, 38]

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

Final sorted list: [-99, 38]
</think>

<response>-99, 38</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -82, -69, -44.

output:
<think>
Initial list: [-82, -69, -44]

Pass 1:
  Compare -82 and -69
  No swap needed
  Compare -69 and -44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -69, -44]
</think>

<response>-82, -69, -44</response>


input: Sort these integers -90, -12, 60, -92, -82 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-90, -12, 60, -92, -82]

Pass 1:
  Compare -90 and -12
  No swap needed
  Compare -12 and 60
  No swap needed
  Compare 60 and -92
  Swap 60 and -92
  List after swap: [-90, -12, -92, 60, -82]
  Compare 60 and -82
  Swap 60 and -82
  List after swap: [-90, -12, -92, -82, 60]

Pass 2:
  Compare -90 and -12
  No swap needed
  Compare -12 and -92
  Swap -12 and -92
  List after swap: [-90, -92, -12, -82, 60]
  Compare -12 and -82
  Swap -12 and -82
  List after swap: [-90, -92, -82, -12, 60]

Pass 3:
  Compare -90 and -92
  Swap -90 and -92
  List after swap: [-92, -90, -82, -12, 60]
  Compare -90 and -82
  No swap needed

Pass 4:
  Compare -92 and -90
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -90, -82, -12, 60]
</think>

<response>-92, -90, -82, -12, 60</response>


input: Carry out the bubble sort algorithm on 97, 11, -62, 16, -20, -3, -41 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [97, 11, -62, 16, -20, -3, -41]

Pass 1:
  Compare 97 and 11
  Swap 97 and 11
  List after swap: [11, 97, -62, 16, -20, -3, -41]
  Compare 97 and -62
  Swap 97 and -62
  List after swap: [11, -62, 97, 16, -20, -3, -41]
  Compare 97 and 16
  Swap 97 and 16
  List after swap: [11, -62, 16, 97, -20, -3, -41]
  Compare 97 and -20
  Swap 97 and -20
  List after swap: [11, -62, 16, -20, 97, -3, -41]
  Compare 97 and -3
  Swap 97 and -3
  List after swap: [11, -62, 16, -20, -3, 97, -41]
  Compare 97 and -41
  Swap 97 and -41
  List after swap: [11, -62, 16, -20, -3, -41, 97]

Pass 2:
  Compare 11 and -62
  Swap 11 and -62
  List after swap: [-62, 11, 16, -20, -3, -41, 97]
  Compare 11 and 16
  No swap needed
  Compare 16 and -20
  Swap 16 and -20
  List after swap: [-62, 11, -20, 16, -3, -41, 97]
  Compare 16 and -3
  Swap 16 and -3
  List after swap: [-62, 11, -20, -3, 16, -41, 97]
  Compare 16 and -41
  Swap 16 and -41
  List after swap: [-62, 11, -20, -3, -41, 16, 97]

Pass 3:
  Compare -62 and 11
  No swap needed
  Compare 11 and -20
  Swap 11 and -20
  List after swap: [-62, -20, 11, -3, -41, 16, 97]
  Compare 11 and -3
  Swap 11 and -3
  List after swap: [-62, -20, -3, 11, -41, 16, 97]
  Compare 11 and -41
  Swap 11 and -41
  List after swap: [-62, -20, -3, -41, 11, 16, 97]

Pass 4:
  Compare -62 and -20
  No swap needed
  Compare -20 and -3
  No swap needed
  Compare -3 and -41
  Swap -3 and -41
  List after swap: [-62, -20, -41, -3, 11, 16, 97]

Pass 5:
  Compare -62 and -20
  No swap needed
  Compare -20 and -41
  Swap -20 and -41
  List after swap: [-62, -41, -20, -3, 11, 16, 97]

Pass 6:
  Compare -62 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -41, -20, -3, 11, 16, 97]
</think>

<response>-62, -41, -20, -3, 11, 16, 97</response>


input: Sort the list 67, 46, -78 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [67, 46, -78]

Pass 1:
  Compare 67 and 46
  Swap 67 and 46
  List after swap: [46, 67, -78]
  Compare 67 and -78
  Swap 67 and -78
  List after swap: [46, -78, 67]

Pass 2:
  Compare 46 and -78
  Swap 46 and -78
  List after swap: [-78, 46, 67]

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

Final sorted list: [-78, 46, 67]
</think>

<response>-78, 46, 67</response>


input: Perform a bubble sort on the integers 39, 96, 98, -33, -56, 51, 81, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [39, 96, 98, -33, -56, 51, 81]

Pass 1:
  Compare 39 and 96
  No swap needed
  Compare 96 and 98
  No swap needed
  Compare 98 and -33
  Swap 98 and -33
  List after swap: [39, 96, -33, 98, -56, 51, 81]
  Compare 98 and -56
  Swap 98 and -56
  List after swap: [39, 96, -33, -56, 98, 51, 81]
  Compare 98 and 51
  Swap 98 and 51
  List after swap: [39, 96, -33, -56, 51, 98, 81]
  Compare 98 and 81
  Swap 98 and 81
  List after swap: [39, 96, -33, -56, 51, 81, 98]

Pass 2:
  Compare 39 and 96
  No swap needed
  Compare 96 and -33
  Swap 96 and -33
  List after swap: [39, -33, 96, -56, 51, 81, 98]
  Compare 96 and -56
  Swap 96 and -56
  List after swap: [39, -33, -56, 96, 51, 81, 98]
  Compare 96 and 51
  Swap 96 and 51
  List after swap: [39, -33, -56, 51, 96, 81, 98]
  Compare 96 and 81
  Swap 96 and 81
  List after swap: [39, -33, -56, 51, 81, 96, 98]

Pass 3:
  Compare 39 and -33
  Swap 39 and -33
  List after swap: [-33, 39, -56, 51, 81, 96, 98]
  Compare 39 and -56
  Swap 39 and -56
  List after swap: [-33, -56, 39, 51, 81, 96, 98]
  Compare 39 and 51
  No swap needed
  Compare 51 and 81
  No swap needed

Pass 4:
  Compare -33 and -56
  Swap -33 and -56
  List after swap: [-56, -33, 39, 51, 81, 96, 98]
  Compare -33 and 39
  No swap needed
  Compare 39 and 51
  No swap needed

Pass 5:
  Compare -56 and -33
  No swap needed
  Compare -33 and 39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -33, 39, 51, 81, 96, 98]
</think>

<response>-56, -33, 39, 51, 81, 96, 98</response>


input: Arrange the numbers 88, -62, 32, -44, 61, 20, 22, 87, 56 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [88, -62, 32, -44, 61, 20, 22, 87, 56]

Pass 1:
  Compare 88 and -62
  Swap 88 and -62
  List after swap: [-62, 88, 32, -44, 61, 20, 22, 87, 56]
  Compare 88 and 32
  Swap 88 and 32
  List after swap: [-62, 32, 88, -44, 61, 20, 22, 87, 56]
  Compare 88 and -44
  Swap 88 and -44
  List after swap: [-62, 32, -44, 88, 61, 20, 22, 87, 56]
  Compare 88 and 61
  Swap 88 and 61
  List after swap: [-62, 32, -44, 61, 88, 20, 22, 87, 56]
  Compare 88 and 20
  Swap 88 and 20
  List after swap: [-62, 32, -44, 61, 20, 88, 22, 87, 56]
  Compare 88 and 22
  Swap 88 and 22
  List after swap: [-62, 32, -44, 61, 20, 22, 88, 87, 56]
  Compare 88 and 87
  Swap 88 and 87
  List after swap: [-62, 32, -44, 61, 20, 22, 87, 88, 56]
  Compare 88 and 56
  Swap 88 and 56
  List after swap: [-62, 32, -44, 61, 20, 22, 87, 56, 88]

Pass 2:
  Compare -62 and 32
  No swap needed
  Compare 32 and -44
  Swap 32 and -44
  List after swap: [-62, -44, 32, 61, 20, 22, 87, 56, 88]
  Compare 32 and 61
  No swap needed
  Compare 61 and 20
  Swap 61 and 20
  List after swap: [-62, -44, 32, 20, 61, 22, 87, 56, 88]
  Compare 61 and 22
  Swap 61 and 22
  List after swap: [-62, -44, 32, 20, 22, 61, 87, 56, 88]
  Compare 61 and 87
  No swap needed
  Compare 87 and 56
  Swap 87 and 56
  List after swap: [-62, -44, 32, 20, 22, 61, 56, 87, 88]

Pass 3:
  Compare -62 and -44
  No swap needed
  Compare -44 and 32
  No swap needed
  Compare 32 and 20
  Swap 32 and 20
  List after swap: [-62, -44, 20, 32, 22, 61, 56, 87, 88]
  Compare 32 and 22
  Swap 32 and 22
  List after swap: [-62, -44, 20, 22, 32, 61, 56, 87, 88]
  Compare 32 and 61
  No swap needed
  Compare 61 and 56
  Swap 61 and 56
  List after swap: [-62, -44, 20, 22, 32, 56, 61, 87, 88]

Pass 4:
  Compare -62 and -44
  No swap needed
  Compare -44 and 20
  No swap needed
  Compare 20 and 22
  No swap needed
  Compare 22 and 32
  No swap needed
  Compare 32 and 56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -44, 20, 22, 32, 56, 61, 87, 88]
</think>

<response>-62, -44, 20, 22, 32, 56, 61, 87, 88</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 81, 88, 92, 80, 28, -38.

output:
<think>
Initial list: [81, 88, 92, 80, 28, -38]

Pass 1:
  Compare 81 and 88
  No swap needed
  Compare 88 and 92
  No swap needed
  Compare 92 and 80
  Swap 92 and 80
  List after swap: [81, 88, 80, 92, 28, -38]
  Compare 92 and 28
  Swap 92 and 28
  List after swap: [81, 88, 80, 28, 92, -38]
  Compare 92 and -38
  Swap 92 and -38
  List after swap: [81, 88, 80, 28, -38, 92]

Pass 2:
  Compare 81 and 88
  No swap needed
  Compare 88 and 80
  Swap 88 and 80
  List after swap: [81, 80, 88, 28, -38, 92]
  Compare 88 and 28
  Swap 88 and 28
  List after swap: [81, 80, 28, 88, -38, 92]
  Compare 88 and -38
  Swap 88 and -38
  List after swap: [81, 80, 28, -38, 88, 92]

Pass 3:
  Compare 81 and 80
  Swap 81 and 80
  List after swap: [80, 81, 28, -38, 88, 92]
  Compare 81 and 28
  Swap 81 and 28
  List after swap: [80, 28, 81, -38, 88, 92]
  Compare 81 and -38
  Swap 81 and -38
  List after swap: [80, 28, -38, 81, 88, 92]

Pass 4:
  Compare 80 and 28
  Swap 80 and 28
  List after swap: [28, 80, -38, 81, 88, 92]
  Compare 80 and -38
  Swap 80 and -38
  List after swap: [28, -38, 80, 81, 88, 92]

Pass 5:
  Compare 28 and -38
  Swap 28 and -38
  List after swap: [-38, 28, 80, 81, 88, 92]

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

Final sorted list: [-38, 28, 80, 81, 88, 92]
</think>

<response>-38, 28, 80, 81, 88, 92</response>


input: Implement bubble sort on 41, 73 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [41, 73]

Pass 1:
  Compare 41 and 73
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [41, 73]
</think>

<response>41, 73</response>


input: Sort the list -10, 97, -41, 90, -96, -99, 44, -30 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-10, 97, -41, 90, -96, -99, 44, -30]

Pass 1:
  Compare -10 and 97
  No swap needed
  Compare 97 and -41
  Swap 97 and -41
  List after swap: [-10, -41, 97, 90, -96, -99, 44, -30]
  Compare 97 and 90
  Swap 97 and 90
  List after swap: [-10, -41, 90, 97, -96, -99, 44, -30]
  Compare 97 and -96
  Swap 97 and -96
  List after swap: [-10, -41, 90, -96, 97, -99, 44, -30]
  Compare 97 and -99
  Swap 97 and -99
  List after swap: [-10, -41, 90, -96, -99, 97, 44, -30]
  Compare 97 and 44
  Swap 97 and 44
  List after swap: [-10, -41, 90, -96, -99, 44, 97, -30]
  Compare 97 and -30
  Swap 97 and -30
  List after swap: [-10, -41, 90, -96, -99, 44, -30, 97]

Pass 2:
  Compare -10 and -41
  Swap -10 and -41
  List after swap: [-41, -10, 90, -96, -99, 44, -30, 97]
  Compare -10 and 90
  No swap needed
  Compare 90 and -96
  Swap 90 and -96
  List after swap: [-41, -10, -96, 90, -99, 44, -30, 97]
  Compare 90 and -99
  Swap 90 and -99
  List after swap: [-41, -10, -96, -99, 90, 44, -30, 97]
  Compare 90 and 44
  Swap 90 and 44
  List after swap: [-41, -10, -96, -99, 44, 90, -30, 97]
  Compare 90 and -30
  Swap 90 and -30
  List after swap: [-41, -10, -96, -99, 44, -30, 90, 97]

Pass 3:
  Compare -41 and -10
  No swap needed
  Compare -10 and -96
  Swap -10 and -96
  List after swap: [-41, -96, -10, -99, 44, -30, 90, 97]
  Compare -10 and -99
  Swap -10 and -99
  List after swap: [-41, -96, -99, -10, 44, -30, 90, 97]
  Compare -10 and 44
  No swap needed
  Compare 44 and -30
  Swap 44 and -30
  List after swap: [-41, -96, -99, -10, -30, 44, 90, 97]

Pass 4:
  Compare -41 and -96
  Swap -41 and -96
  List after swap: [-96, -41, -99, -10, -30, 44, 90, 97]
  Compare -41 and -99
  Swap -41 and -99
  List after swap: [-96, -99, -41, -10, -30, 44, 90, 97]
  Compare -41 and -10
  No swap needed
  Compare -10 and -30
  Swap -10 and -30
  List after swap: [-96, -99, -41, -30, -10, 44, 90, 97]

Pass 5:
  Compare -96 and -99
  Swap -96 and -99
  List after swap: [-99, -96, -41, -30, -10, 44, 90, 97]
  Compare -96 and -41
  No swap needed
  Compare -41 and -30
  No swap needed

Pass 6:
  Compare -99 and -96
  No swap needed
  Compare -96 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -96, -41, -30, -10, 44, 90, 97]
</think>

<response>-99, -96, -41, -30, -10, 44, 90, 97</response>


input: Implement bubble sort on -94, -34, 79, -29, 23, -49 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-94, -34, 79, -29, 23, -49]

Pass 1:
  Compare -94 and -34
  No swap needed
  Compare -34 and 79
  No swap needed
  Compare 79 and -29
  Swap 79 and -29
  List after swap: [-94, -34, -29, 79, 23, -49]
  Compare 79 and 23
  Swap 79 and 23
  List after swap: [-94, -34, -29, 23, 79, -49]
  Compare 79 and -49
  Swap 79 and -49
  List after swap: [-94, -34, -29, 23, -49, 79]

Pass 2:
  Compare -94 and -34
  No swap needed
  Compare -34 and -29
  No swap needed
  Compare -29 and 23
  No swap needed
  Compare 23 and -49
  Swap 23 and -49
  List after swap: [-94, -34, -29, -49, 23, 79]

Pass 3:
  Compare -94 and -34
  No swap needed
  Compare -34 and -29
  No swap needed
  Compare -29 and -49
  Swap -29 and -49
  List after swap: [-94, -34, -49, -29, 23, 79]

Pass 4:
  Compare -94 and -34
  No swap needed
  Compare -34 and -49
  Swap -34 and -49
  List after swap: [-94, -49, -34, -29, 23, 79]

Pass 5:
  Compare -94 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -49, -34, -29, 23, 79]
</think>

<response>-94, -49, -34, -29, 23, 79</response>


input: Execute bubble sort to sort -47, -79, -83, 20, 38, -48, -67, -54 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-47, -79, -83, 20, 38, -48, -67, -54]

Pass 1:
  Compare -47 and -79
  Swap -47 and -79
  List after swap: [-79, -47, -83, 20, 38, -48, -67, -54]
  Compare -47 and -83
  Swap -47 and -83
  List after swap: [-79, -83, -47, 20, 38, -48, -67, -54]
  Compare -47 and 20
  No swap needed
  Compare 20 and 38
  No swap needed
  Compare 38 and -48
  Swap 38 and -48
  List after swap: [-79, -83, -47, 20, -48, 38, -67, -54]
  Compare 38 and -67
  Swap 38 and -67
  List after swap: [-79, -83, -47, 20, -48, -67, 38, -54]
  Compare 38 and -54
  Swap 38 and -54
  List after swap: [-79, -83, -47, 20, -48, -67, -54, 38]

Pass 2:
  Compare -79 and -83
  Swap -79 and -83
  List after swap: [-83, -79, -47, 20, -48, -67, -54, 38]
  Compare -79 and -47
  No swap needed
  Compare -47 and 20
  No swap needed
  Compare 20 and -48
  Swap 20 and -48
  List after swap: [-83, -79, -47, -48, 20, -67, -54, 38]
  Compare 20 and -67
  Swap 20 and -67
  List after swap: [-83, -79, -47, -48, -67, 20, -54, 38]
  Compare 20 and -54
  Swap 20 and -54
  List after swap: [-83, -79, -47, -48, -67, -54, 20, 38]

Pass 3:
  Compare -83 and -79
  No swap needed
  Compare -79 and -47
  No swap needed
  Compare -47 and -48
  Swap -47 and -48
  List after swap: [-83, -79, -48, -47, -67, -54, 20, 38]
  Compare -47 and -67
  Swap -47 and -67
  List after swap: [-83, -79, -48, -67, -47, -54, 20, 38]
  Compare -47 and -54
  Swap -47 and -54
  List after swap: [-83, -79, -48, -67, -54, -47, 20, 38]

Pass 4:
  Compare -83 and -79
  No swap needed
  Compare -79 and -48
  No swap needed
  Compare -48 and -67
  Swap -48 and -67
  List after swap: [-83, -79, -67, -48, -54, -47, 20, 38]
  Compare -48 and -54
  Swap -48 and -54
  List after swap: [-83, -79, -67, -54, -48, -47, 20, 38]

Pass 5:
  Compare -83 and -79
  No swap needed
  Compare -79 and -67
  No swap needed
  Compare -67 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -79, -67, -54, -48, -47, 20, 38]
</think>

<response>-83, -79, -67, -54, -48, -47, 20, 38</response>


input: Using the bubble sort method, sort -38, -58, -21, -75, -16 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-38, -58, -21, -75, -16]

Pass 1:
  Compare -38 and -58
  Swap -38 and -58
  List after swap: [-58, -38, -21, -75, -16]
  Compare -38 and -21
  No swap needed
  Compare -21 and -75
  Swap -21 and -75
  List after swap: [-58, -38, -75, -21, -16]
  Compare -21 and -16
  No swap needed

Pass 2:
  Compare -58 and -38
  No swap needed
  Compare -38 and -75
  Swap -38 and -75
  List after swap: [-58, -75, -38, -21, -16]
  Compare -38 and -21
  No swap needed

Pass 3:
  Compare -58 and -75
  Swap -58 and -75
  List after swap: [-75, -58, -38, -21, -16]
  Compare -58 and -38
  No swap needed

Pass 4:
  Compare -75 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -58, -38, -21, -16]
</think>

<response>-75, -58, -38, -21, -16</response>


input: Use the bubble sort technique to reorder 25, 55, 67, 63, -15, -59, 44 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [25, 55, 67, 63, -15, -59, 44]

Pass 1:
  Compare 25 and 55
  No swap needed
  Compare 55 and 67
  No swap needed
  Compare 67 and 63
  Swap 67 and 63
  List after swap: [25, 55, 63, 67, -15, -59, 44]
  Compare 67 and -15
  Swap 67 and -15
  List after swap: [25, 55, 63, -15, 67, -59, 44]
  Compare 67 and -59
  Swap 67 and -59
  List after swap: [25, 55, 63, -15, -59, 67, 44]
  Compare 67 and 44
  Swap 67 and 44
  List after swap: [25, 55, 63, -15, -59, 44, 67]

Pass 2:
  Compare 25 and 55
  No swap needed
  Compare 55 and 63
  No swap needed
  Compare 63 and -15
  Swap 63 and -15
  List after swap: [25, 55, -15, 63, -59, 44, 67]
  Compare 63 and -59
  Swap 63 and -59
  List after swap: [25, 55, -15, -59, 63, 44, 67]
  Compare 63 and 44
  Swap 63 and 44
  List after swap: [25, 55, -15, -59, 44, 63, 67]

Pass 3:
  Compare 25 and 55
  No swap needed
  Compare 55 and -15
  Swap 55 and -15
  List after swap: [25, -15, 55, -59, 44, 63, 67]
  Compare 55 and -59
  Swap 55 and -59
  List after swap: [25, -15, -59, 55, 44, 63, 67]
  Compare 55 and 44
  Swap 55 and 44
  List after swap: [25, -15, -59, 44, 55, 63, 67]

Pass 4:
  Compare 25 and -15
  Swap 25 and -15
  List after swap: [-15, 25, -59, 44, 55, 63, 67]
  Compare 25 and -59
  Swap 25 and -59
  List after swap: [-15, -59, 25, 44, 55, 63, 67]
  Compare 25 and 44
  No swap needed

Pass 5:
  Compare -15 and -59
  Swap -15 and -59
  List after swap: [-59, -15, 25, 44, 55, 63, 67]
  Compare -15 and 25
  No swap needed

Pass 6:
  Compare -59 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, -15, 25, 44, 55, 63, 67]
</think>

<response>-59, -15, 25, 44, 55, 63, 67</response>


input: Carry out the bubble sort algorithm on -29, 74, -27, -44, -66, -79, -53 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-29, 74, -27, -44, -66, -79, -53]

Pass 1:
  Compare -29 and 74
  No swap needed
  Compare 74 and -27
  Swap 74 and -27
  List after swap: [-29, -27, 74, -44, -66, -79, -53]
  Compare 74 and -44
  Swap 74 and -44
  List after swap: [-29, -27, -44, 74, -66, -79, -53]
  Compare 74 and -66
  Swap 74 and -66
  List after swap: [-29, -27, -44, -66, 74, -79, -53]
  Compare 74 and -79
  Swap 74 and -79
  List after swap: [-29, -27, -44, -66, -79, 74, -53]
  Compare 74 and -53
  Swap 74 and -53
  List after swap: [-29, -27, -44, -66, -79, -53, 74]

Pass 2:
  Compare -29 and -27
  No swap needed
  Compare -27 and -44
  Swap -27 and -44
  List after swap: [-29, -44, -27, -66, -79, -53, 74]
  Compare -27 and -66
  Swap -27 and -66
  List after swap: [-29, -44, -66, -27, -79, -53, 74]
  Compare -27 and -79
  Swap -27 and -79
  List after swap: [-29, -44, -66, -79, -27, -53, 74]
  Compare -27 and -53
  Swap -27 and -53
  List after swap: [-29, -44, -66, -79, -53, -27, 74]

Pass 3:
  Compare -29 and -44
  Swap -29 and -44
  List after swap: [-44, -29, -66, -79, -53, -27, 74]
  Compare -29 and -66
  Swap -29 and -66
  List after swap: [-44, -66, -29, -79, -53, -27, 74]
  Compare -29 and -79
  Swap -29 and -79
  List after swap: [-44, -66, -79, -29, -53, -27, 74]
  Compare -29 and -53
  Swap -29 and -53
  List after swap: [-44, -66, -79, -53, -29, -27, 74]

Pass 4:
  Compare -44 and -66
  Swap -44 and -66
  List after swap: [-66, -44, -79, -53, -29, -27, 74]
  Compare -44 and -79
  Swap -44 and -79
  List after swap: [-66, -79, -44, -53, -29, -27, 74]
  Compare -44 and -53
  Swap -44 and -53
  List after swap: [-66, -79, -53, -44, -29, -27, 74]

Pass 5:
  Compare -66 and -79
  Swap -66 and -79
  List after swap: [-79, -66, -53, -44, -29, -27, 74]
  Compare -66 and -53
  No swap needed

Pass 6:
  Compare -79 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -66, -53, -44, -29, -27, 74]
</think>

<response>-79, -66, -53, -44, -29, -27, 74</response>


input: Sort the list 44, -46, -41, -59 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [44, -46, -41, -59]

Pass 1:
  Compare 44 and -46
  Swap 44 and -46
  List after swap: [-46, 44, -41, -59]
  Compare 44 and -41
  Swap 44 and -41
  List after swap: [-46, -41, 44, -59]
  Compare 44 and -59
  Swap 44 and -59
  List after swap: [-46, -41, -59, 44]

Pass 2:
  Compare -46 and -41
  No swap needed
  Compare -41 and -59
  Swap -41 and -59
  List after swap: [-46, -59, -41, 44]

Pass 3:
  Compare -46 and -59
  Swap -46 and -59
  List after swap: [-59, -46, -41, 44]

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

Final sorted list: [-59, -46, -41, 44]
</think>

<response>-59, -46, -41, 44</response>


input: Sort these integers 53, 5, -48, -78, 60, 99 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [53, 5, -48, -78, 60, 99]

Pass 1:
  Compare 53 and 5
  Swap 53 and 5
  List after swap: [5, 53, -48, -78, 60, 99]
  Compare 53 and -48
  Swap 53 and -48
  List after swap: [5, -48, 53, -78, 60, 99]
  Compare 53 and -78
  Swap 53 and -78
  List after swap: [5, -48, -78, 53, 60, 99]
  Compare 53 and 60
  No swap needed
  Compare 60 and 99
  No swap needed

Pass 2:
  Compare 5 and -48
  Swap 5 and -48
  List after swap: [-48, 5, -78, 53, 60, 99]
  Compare 5 and -78
  Swap 5 and -78
  List after swap: [-48, -78, 5, 53, 60, 99]
  Compare 5 and 53
  No swap needed
  Compare 53 and 60
  No swap needed

Pass 3:
  Compare -48 and -78
  Swap -48 and -78
  List after swap: [-78, -48, 5, 53, 60, 99]
  Compare -48 and 5
  No swap needed
  Compare 5 and 53
  No swap needed

Pass 4:
  Compare -78 and -48
  No swap needed
  Compare -48 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -48, 5, 53, 60, 99]
</think>

<response>-78, -48, 5, 53, 60, 99</response>


input: Use the bubble sort technique to reorder -95, -50, 83, 93, 66, -96, -71, 79, -94, -79 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-95, -50, 83, 93, 66, -96, -71, 79, -94, -79]

Pass 1:
  Compare -95 and -50
  No swap needed
  Compare -50 and 83
  No swap needed
  Compare 83 and 93
  No swap needed
  Compare 93 and 66
  Swap 93 and 66
  List after swap: [-95, -50, 83, 66, 93, -96, -71, 79, -94, -79]
  Compare 93 and -96
  Swap 93 and -96
  List after swap: [-95, -50, 83, 66, -96, 93, -71, 79, -94, -79]
  Compare 93 and -71
  Swap 93 and -71
  List after swap: [-95, -50, 83, 66, -96, -71, 93, 79, -94, -79]
  Compare 93 and 79
  Swap 93 and 79
  List after swap: [-95, -50, 83, 66, -96, -71, 79, 93, -94, -79]
  Compare 93 and -94
  Swap 93 and -94
  List after swap: [-95, -50, 83, 66, -96, -71, 79, -94, 93, -79]
  Compare 93 and -79
  Swap 93 and -79
  List after swap: [-95, -50, 83, 66, -96, -71, 79, -94, -79, 93]

Pass 2:
  Compare -95 and -50
  No swap needed
  Compare -50 and 83
  No swap needed
  Compare 83 and 66
  Swap 83 and 66
  List after swap: [-95, -50, 66, 83, -96, -71, 79, -94, -79, 93]
  Compare 83 and -96
  Swap 83 and -96
  List after swap: [-95, -50, 66, -96, 83, -71, 79, -94, -79, 93]
  Compare 83 and -71
  Swap 83 and -71
  List after swap: [-95, -50, 66, -96, -71, 83, 79, -94, -79, 93]
  Compare 83 and 79
  Swap 83 and 79
  List after swap: [-95, -50, 66, -96, -71, 79, 83, -94, -79, 93]
  Compare 83 and -94
  Swap 83 and -94
  List after swap: [-95, -50, 66, -96, -71, 79, -94, 83, -79, 93]
  Compare 83 and -79
  Swap 83 and -79
  List after swap: [-95, -50, 66, -96, -71, 79, -94, -79, 83, 93]

Pass 3:
  Compare -95 and -50
  No swap needed
  Compare -50 and 66
  No swap needed
  Compare 66 and -96
  Swap 66 and -96
  List after swap: [-95, -50, -96, 66, -71, 79, -94, -79, 83, 93]
  Compare 66 and -71
  Swap 66 and -71
  List after swap: [-95, -50, -96, -71, 66, 79, -94, -79, 83, 93]
  Compare 66 and 79
  No swap needed
  Compare 79 and -94
  Swap 79 and -94
  List after swap: [-95, -50, -96, -71, 66, -94, 79, -79, 83, 93]
  Compare 79 and -79
  Swap 79 and -79
  List after swap: [-95, -50, -96, -71, 66, -94, -79, 79, 83, 93]

Pass 4:
  Compare -95 and -50
  No swap needed
  Compare -50 and -96
  Swap -50 and -96
  List after swap: [-95, -96, -50, -71, 66, -94, -79, 79, 83, 93]
  Compare -50 and -71
  Swap -50 and -71
  List after swap: [-95, -96, -71, -50, 66, -94, -79, 79, 83, 93]
  Compare -50 and 66
  No swap needed
  Compare 66 and -94
  Swap 66 and -94
  List after swap: [-95, -96, -71, -50, -94, 66, -79, 79, 83, 93]
  Compare 66 and -79
  Swap 66 and -79
  List after swap: [-95, -96, -71, -50, -94, -79, 66, 79, 83, 93]

Pass 5:
  Compare -95 and -96
  Swap -95 and -96
  List after swap: [-96, -95, -71, -50, -94, -79, 66, 79, 83, 93]
  Compare -95 and -71
  No swap needed
  Compare -71 and -50
  No swap needed
  Compare -50 and -94
  Swap -50 and -94
  List after swap: [-96, -95, -71, -94, -50, -79, 66, 79, 83, 93]
  Compare -50 and -79
  Swap -50 and -79
  List after swap: [-96, -95, -71, -94, -79, -50, 66, 79, 83, 93]

Pass 6:
  Compare -96 and -95
  No swap needed
  Compare -95 and -71
  No swap needed
  Compare -71 and -94
  Swap -71 and -94
  List after swap: [-96, -95, -94, -71, -79, -50, 66, 79, 83, 93]
  Compare -71 and -79
  Swap -71 and -79
  List after swap: [-96, -95, -94, -79, -71, -50, 66, 79, 83, 93]

Pass 7:
  Compare -96 and -95
  No swap needed
  Compare -95 and -94
  No swap needed
  Compare -94 and -79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -95, -94, -79, -71, -50, 66, 79, 83, 93]
</think>

<response>-96, -95, -94, -79, -71, -50, 66, 79, 83, 93</response>


input: Carry out the bubble sort algorithm on 99, -48, 74, 45, 31, -1, -3 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [99, -48, 74, 45, 31, -1, -3]

Pass 1:
  Compare 99 and -48
  Swap 99 and -48
  List after swap: [-48, 99, 74, 45, 31, -1, -3]
  Compare 99 and 74
  Swap 99 and 74
  List after swap: [-48, 74, 99, 45, 31, -1, -3]
  Compare 99 and 45
  Swap 99 and 45
  List after swap: [-48, 74, 45, 99, 31, -1, -3]
  Compare 99 and 31
  Swap 99 and 31
  List after swap: [-48, 74, 45, 31, 99, -1, -3]
  Compare 99 and -1
  Swap 99 and -1
  List after swap: [-48, 74, 45, 31, -1, 99, -3]
  Compare 99 and -3
  Swap 99 and -3
  List after swap: [-48, 74, 45, 31, -1, -3, 99]

Pass 2:
  Compare -48 and 74
  No swap needed
  Compare 74 and 45
  Swap 74 and 45
  List after swap: [-48, 45, 74, 31, -1, -3, 99]
  Compare 74 and 31
  Swap 74 and 31
  List after swap: [-48, 45, 31, 74, -1, -3, 99]
  Compare 74 and -1
  Swap 74 and -1
  List after swap: [-48, 45, 31, -1, 74, -3, 99]
  Compare 74 and -3
  Swap 74 and -3
  List after swap: [-48, 45, 31, -1, -3, 74, 99]

Pass 3:
  Compare -48 and 45
  No swap needed
  Compare 45 and 31
  Swap 45 and 31
  List after swap: [-48, 31, 45, -1, -3, 74, 99]
  Compare 45 and -1
  Swap 45 and -1
  List after swap: [-48, 31, -1, 45, -3, 74, 99]
  Compare 45 and -3
  Swap 45 and -3
  List after swap: [-48, 31, -1, -3, 45, 74, 99]

Pass 4:
  Compare -48 and 31
  No swap needed
  Compare 31 and -1
  Swap 31 and -1
  List after swap: [-48, -1, 31, -3, 45, 74, 99]
  Compare 31 and -3
  Swap 31 and -3
  List after swap: [-48, -1, -3, 31, 45, 74, 99]

Pass 5:
  Compare -48 and -1
  No swap needed
  Compare -1 and -3
  Swap -1 and -3
  List after swap: [-48, -3, -1, 31, 45, 74, 99]

Pass 6:
  Compare -48 and -3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-48, -3, -1, 31, 45, 74, 99]
</think>

<response>-48, -3, -1, 31, 45, 74, 99</response>


input: Sort the list -31, 44, -8, -70, -93, -5 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-31, 44, -8, -70, -93, -5]

Pass 1:
  Compare -31 and 44
  No swap needed
  Compare 44 and -8
  Swap 44 and -8
  List after swap: [-31, -8, 44, -70, -93, -5]
  Compare 44 and -70
  Swap 44 and -70
  List after swap: [-31, -8, -70, 44, -93, -5]
  Compare 44 and -93
  Swap 44 and -93
  List after swap: [-31, -8, -70, -93, 44, -5]
  Compare 44 and -5
  Swap 44 and -5
  List after swap: [-31, -8, -70, -93, -5, 44]

Pass 2:
  Compare -31 and -8
  No swap needed
  Compare -8 and -70
  Swap -8 and -70
  List after swap: [-31, -70, -8, -93, -5, 44]
  Compare -8 and -93
  Swap -8 and -93
  List after swap: [-31, -70, -93, -8, -5, 44]
  Compare -8 and -5
  No swap needed

Pass 3:
  Compare -31 and -70
  Swap -31 and -70
  List after swap: [-70, -31, -93, -8, -5, 44]
  Compare -31 and -93
  Swap -31 and -93
  List after swap: [-70, -93, -31, -8, -5, 44]
  Compare -31 and -8
  No swap needed

Pass 4:
  Compare -70 and -93
  Swap -70 and -93
  List after swap: [-93, -70, -31, -8, -5, 44]
  Compare -70 and -31
  No swap needed

Pass 5:
  Compare -93 and -70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -70, -31, -8, -5, 44]
</think>

<response>-93, -70, -31, -8, -5, 44</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -98, 13.

output:
<think>
Initial list: [-98, 13]

Pass 1:
  Compare -98 and 13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, 13]
</think>

<response>-98, 13</response>


input: Sort these integers -34, -95, 78, -69, 70, 47, 24 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-34, -95, 78, -69, 70, 47, 24]

Pass 1:
  Compare -34 and -95
  Swap -34 and -95
  List after swap: [-95, -34, 78, -69, 70, 47, 24]
  Compare -34 and 78
  No swap needed
  Compare 78 and -69
  Swap 78 and -69
  List after swap: [-95, -34, -69, 78, 70, 47, 24]
  Compare 78 and 70
  Swap 78 and 70
  List after swap: [-95, -34, -69, 70, 78, 47, 24]
  Compare 78 and 47
  Swap 78 and 47
  List after swap: [-95, -34, -69, 70, 47, 78, 24]
  Compare 78 and 24
  Swap 78 and 24
  List after swap: [-95, -34, -69, 70, 47, 24, 78]

Pass 2:
  Compare -95 and -34
  No swap needed
  Compare -34 and -69
  Swap -34 and -69
  List after swap: [-95, -69, -34, 70, 47, 24, 78]
  Compare -34 and 70
  No swap needed
  Compare 70 and 47
  Swap 70 and 47
  List after swap: [-95, -69, -34, 47, 70, 24, 78]
  Compare 70 and 24
  Swap 70 and 24
  List after swap: [-95, -69, -34, 47, 24, 70, 78]

Pass 3:
  Compare -95 and -69
  No swap needed
  Compare -69 and -34
  No swap needed
  Compare -34 and 47
  No swap needed
  Compare 47 and 24
  Swap 47 and 24
  List after swap: [-95, -69, -34, 24, 47, 70, 78]

Pass 4:
  Compare -95 and -69
  No swap needed
  Compare -69 and -34
  No swap needed
  Compare -34 and 24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -69, -34, 24, 47, 70, 78]
</think>

<response>-95, -69, -34, 24, 47, 70, 78</response>


input: Execute bubble sort to sort 72, -59, -39, 8, -87, -30 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [72, -59, -39, 8, -87, -30]

Pass 1:
  Compare 72 and -59
  Swap 72 and -59
  List after swap: [-59, 72, -39, 8, -87, -30]
  Compare 72 and -39
  Swap 72 and -39
  List after swap: [-59, -39, 72, 8, -87, -30]
  Compare 72 and 8
  Swap 72 and 8
  List after swap: [-59, -39, 8, 72, -87, -30]
  Compare 72 and -87
  Swap 72 and -87
  List after swap: [-59, -39, 8, -87, 72, -30]
  Compare 72 and -30
  Swap 72 and -30
  List after swap: [-59, -39, 8, -87, -30, 72]

Pass 2:
  Compare -59 and -39
  No swap needed
  Compare -39 and 8
  No swap needed
  Compare 8 and -87
  Swap 8 and -87
  List after swap: [-59, -39, -87, 8, -30, 72]
  Compare 8 and -30
  Swap 8 and -30
  List after swap: [-59, -39, -87, -30, 8, 72]

Pass 3:
  Compare -59 and -39
  No swap needed
  Compare -39 and -87
  Swap -39 and -87
  List after swap: [-59, -87, -39, -30, 8, 72]
  Compare -39 and -30
  No swap needed

Pass 4:
  Compare -59 and -87
  Swap -59 and -87
  List after swap: [-87, -59, -39, -30, 8, 72]
  Compare -59 and -39
  No swap needed

Pass 5:
  Compare -87 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -59, -39, -30, 8, 72]
</think>

<response>-87, -59, -39, -30, 8, 72</response>


input: Sort these integers -6, -88, 76, 35, 87, -51, 40, -39, 25 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-6, -88, 76, 35, 87, -51, 40, -39, 25]

Pass 1:
  Compare -6 and -88
  Swap -6 and -88
  List after swap: [-88, -6, 76, 35, 87, -51, 40, -39, 25]
  Compare -6 and 76
  No swap needed
  Compare 76 and 35
  Swap 76 and 35
  List after swap: [-88, -6, 35, 76, 87, -51, 40, -39, 25]
  Compare 76 and 87
  No swap needed
  Compare 87 and -51
  Swap 87 and -51
  List after swap: [-88, -6, 35, 76, -51, 87, 40, -39, 25]
  Compare 87 and 40
  Swap 87 and 40
  List after swap: [-88, -6, 35, 76, -51, 40, 87, -39, 25]
  Compare 87 and -39
  Swap 87 and -39
  List after swap: [-88, -6, 35, 76, -51, 40, -39, 87, 25]
  Compare 87 and 25
  Swap 87 and 25
  List after swap: [-88, -6, 35, 76, -51, 40, -39, 25, 87]

Pass 2:
  Compare -88 and -6
  No swap needed
  Compare -6 and 35
  No swap needed
  Compare 35 and 76
  No swap needed
  Compare 76 and -51
  Swap 76 and -51
  List after swap: [-88, -6, 35, -51, 76, 40, -39, 25, 87]
  Compare 76 and 40
  Swap 76 and 40
  List after swap: [-88, -6, 35, -51, 40, 76, -39, 25, 87]
  Compare 76 and -39
  Swap 76 and -39
  List after swap: [-88, -6, 35, -51, 40, -39, 76, 25, 87]
  Compare 76 and 25
  Swap 76 and 25
  List after swap: [-88, -6, 35, -51, 40, -39, 25, 76, 87]

Pass 3:
  Compare -88 and -6
  No swap needed
  Compare -6 and 35
  No swap needed
  Compare 35 and -51
  Swap 35 and -51
  List after swap: [-88, -6, -51, 35, 40, -39, 25, 76, 87]
  Compare 35 and 40
  No swap needed
  Compare 40 and -39
  Swap 40 and -39
  List after swap: [-88, -6, -51, 35, -39, 40, 25, 76, 87]
  Compare 40 and 25
  Swap 40 and 25
  List after swap: [-88, -6, -51, 35, -39, 25, 40, 76, 87]

Pass 4:
  Compare -88 and -6
  No swap needed
  Compare -6 and -51
  Swap -6 and -51
  List after swap: [-88, -51, -6, 35, -39, 25, 40, 76, 87]
  Compare -6 and 35
  No swap needed
  Compare 35 and -39
  Swap 35 and -39
  List after swap: [-88, -51, -6, -39, 35, 25, 40, 76, 87]
  Compare 35 and 25
  Swap 35 and 25
  List after swap: [-88, -51, -6, -39, 25, 35, 40, 76, 87]

Pass 5:
  Compare -88 and -51
  No swap needed
  Compare -51 and -6
  No swap needed
  Compare -6 and -39
  Swap -6 and -39
  List after swap: [-88, -51, -39, -6, 25, 35, 40, 76, 87]
  Compare -6 and 25
  No swap needed

Pass 6:
  Compare -88 and -51
  No swap needed
  Compare -51 and -39
  No swap needed
  Compare -39 and -6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -51, -39, -6, 25, 35, 40, 76, 87]
</think>

<response>-88, -51, -39, -6, 25, 35, 40, 76, 87</response>


input: Using the bubble sort method, sort -45, -35, 17, 72, 86 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-45, -35, 17, 72, 86]

Pass 1:
  Compare -45 and -35
  No swap needed
  Compare -35 and 17
  No swap needed
  Compare 17 and 72
  No swap needed
  Compare 72 and 86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-45, -35, 17, 72, 86]
</think>

<response>-45, -35, 17, 72, 86</response>


input: Implement bubble sort on 9, -23, -81, 10, 48, -22 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [9, -23, -81, 10, 48, -22]

Pass 1:
  Compare 9 and -23
  Swap 9 and -23
  List after swap: [-23, 9, -81, 10, 48, -22]
  Compare 9 and -81
  Swap 9 and -81
  List after swap: [-23, -81, 9, 10, 48, -22]
  Compare 9 and 10
  No swap needed
  Compare 10 and 48
  No swap needed
  Compare 48 and -22
  Swap 48 and -22
  List after swap: [-23, -81, 9, 10, -22, 48]

Pass 2:
  Compare -23 and -81
  Swap -23 and -81
  List after swap: [-81, -23, 9, 10, -22, 48]
  Compare -23 and 9
  No swap needed
  Compare 9 and 10
  No swap needed
  Compare 10 and -22
  Swap 10 and -22
  List after swap: [-81, -23, 9, -22, 10, 48]

Pass 3:
  Compare -81 and -23
  No swap needed
  Compare -23 and 9
  No swap needed
  Compare 9 and -22
  Swap 9 and -22
  List after swap: [-81, -23, -22, 9, 10, 48]

Pass 4:
  Compare -81 and -23
  No swap needed
  Compare -23 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -23, -22, 9, 10, 48]
</think>

<response>-81, -23, -22, 9, 10, 48</response>


input: Implement bubble sort on 22, -45, -60, -23 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [22, -45, -60, -23]

Pass 1:
  Compare 22 and -45
  Swap 22 and -45
  List after swap: [-45, 22, -60, -23]
  Compare 22 and -60
  Swap 22 and -60
  List after swap: [-45, -60, 22, -23]
  Compare 22 and -23
  Swap 22 and -23
  List after swap: [-45, -60, -23, 22]

Pass 2:
  Compare -45 and -60
  Swap -45 and -60
  List after swap: [-60, -45, -23, 22]
  Compare -45 and -23
  No swap needed

Pass 3:
  Compare -60 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -45, -23, 22]
</think>

<response>-60, -45, -23, 22</response>


input: Sort these integers -74, -78, -99, 50, 49, 1 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-74, -78, -99, 50, 49, 1]

Pass 1:
  Compare -74 and -78
  Swap -74 and -78
  List after swap: [-78, -74, -99, 50, 49, 1]
  Compare -74 and -99
  Swap -74 and -99
  List after swap: [-78, -99, -74, 50, 49, 1]
  Compare -74 and 50
  No swap needed
  Compare 50 and 49
  Swap 50 and 49
  List after swap: [-78, -99, -74, 49, 50, 1]
  Compare 50 and 1
  Swap 50 and 1
  List after swap: [-78, -99, -74, 49, 1, 50]

Pass 2:
  Compare -78 and -99
  Swap -78 and -99
  List after swap: [-99, -78, -74, 49, 1, 50]
  Compare -78 and -74
  No swap needed
  Compare -74 and 49
  No swap needed
  Compare 49 and 1
  Swap 49 and 1
  List after swap: [-99, -78, -74, 1, 49, 50]

Pass 3:
  Compare -99 and -78
  No swap needed
  Compare -78 and -74
  No swap needed
  Compare -74 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -78, -74, 1, 49, 50]
</think>

<response>-99, -78, -74, 1, 49, 50</response>


input: Using the bubble sort method, sort 53, 25, 54, -27, -47, 49, 95, 71, 18 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [53, 25, 54, -27, -47, 49, 95, 71, 18]

Pass 1:
  Compare 53 and 25
  Swap 53 and 25
  List after swap: [25, 53, 54, -27, -47, 49, 95, 71, 18]
  Compare 53 and 54
  No swap needed
  Compare 54 and -27
  Swap 54 and -27
  List after swap: [25, 53, -27, 54, -47, 49, 95, 71, 18]
  Compare 54 and -47
  Swap 54 and -47
  List after swap: [25, 53, -27, -47, 54, 49, 95, 71, 18]
  Compare 54 and 49
  Swap 54 and 49
  List after swap: [25, 53, -27, -47, 49, 54, 95, 71, 18]
  Compare 54 and 95
  No swap needed
  Compare 95 and 71
  Swap 95 and 71
  List after swap: [25, 53, -27, -47, 49, 54, 71, 95, 18]
  Compare 95 and 18
  Swap 95 and 18
  List after swap: [25, 53, -27, -47, 49, 54, 71, 18, 95]

Pass 2:
  Compare 25 and 53
  No swap needed
  Compare 53 and -27
  Swap 53 and -27
  List after swap: [25, -27, 53, -47, 49, 54, 71, 18, 95]
  Compare 53 and -47
  Swap 53 and -47
  List after swap: [25, -27, -47, 53, 49, 54, 71, 18, 95]
  Compare 53 and 49
  Swap 53 and 49
  List after swap: [25, -27, -47, 49, 53, 54, 71, 18, 95]
  Compare 53 and 54
  No swap needed
  Compare 54 and 71
  No swap needed
  Compare 71 and 18
  Swap 71 and 18
  List after swap: [25, -27, -47, 49, 53, 54, 18, 71, 95]

Pass 3:
  Compare 25 and -27
  Swap 25 and -27
  List after swap: [-27, 25, -47, 49, 53, 54, 18, 71, 95]
  Compare 25 and -47
  Swap 25 and -47
  List after swap: [-27, -47, 25, 49, 53, 54, 18, 71, 95]
  Compare 25 and 49
  No swap needed
  Compare 49 and 53
  No swap needed
  Compare 53 and 54
  No swap needed
  Compare 54 and 18
  Swap 54 and 18
  List after swap: [-27, -47, 25, 49, 53, 18, 54, 71, 95]

Pass 4:
  Compare -27 and -47
  Swap -27 and -47
  List after swap: [-47, -27, 25, 49, 53, 18, 54, 71, 95]
  Compare -27 and 25
  No swap needed
  Compare 25 and 49
  No swap needed
  Compare 49 and 53
  No swap needed
  Compare 53 and 18
  Swap 53 and 18
  List after swap: [-47, -27, 25, 49, 18, 53, 54, 71, 95]

Pass 5:
  Compare -47 and -27
  No swap needed
  Compare -27 and 25
  No swap needed
  Compare 25 and 49
  No swap needed
  Compare 49 and 18
  Swap 49 and 18
  List after swap: [-47, -27, 25, 18, 49, 53, 54, 71, 95]

Pass 6:
  Compare -47 and -27
  No swap needed
  Compare -27 and 25
  No swap needed
  Compare 25 and 18
  Swap 25 and 18
  List after swap: [-47, -27, 18, 25, 49, 53, 54, 71, 95]

Pass 7:
  Compare -47 and -27
  No swap needed
  Compare -27 and 18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-47, -27, 18, 25, 49, 53, 54, 71, 95]
</think>

<response>-47, -27, 18, 25, 49, 53, 54, 71, 95</response>


input: Arrange the numbers 62, -35, 64, 23, -91, 99, -62, -51, -70 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [62, -35, 64, 23, -91, 99, -62, -51, -70]

Pass 1:
  Compare 62 and -35
  Swap 62 and -35
  List after swap: [-35, 62, 64, 23, -91, 99, -62, -51, -70]
  Compare 62 and 64
  No swap needed
  Compare 64 and 23
  Swap 64 and 23
  List after swap: [-35, 62, 23, 64, -91, 99, -62, -51, -70]
  Compare 64 and -91
  Swap 64 and -91
  List after swap: [-35, 62, 23, -91, 64, 99, -62, -51, -70]
  Compare 64 and 99
  No swap needed
  Compare 99 and -62
  Swap 99 and -62
  List after swap: [-35, 62, 23, -91, 64, -62, 99, -51, -70]
  Compare 99 and -51
  Swap 99 and -51
  List after swap: [-35, 62, 23, -91, 64, -62, -51, 99, -70]
  Compare 99 and -70
  Swap 99 and -70
  List after swap: [-35, 62, 23, -91, 64, -62, -51, -70, 99]

Pass 2:
  Compare -35 and 62
  No swap needed
  Compare 62 and 23
  Swap 62 and 23
  List after swap: [-35, 23, 62, -91, 64, -62, -51, -70, 99]
  Compare 62 and -91
  Swap 62 and -91
  List after swap: [-35, 23, -91, 62, 64, -62, -51, -70, 99]
  Compare 62 and 64
  No swap needed
  Compare 64 and -62
  Swap 64 and -62
  List after swap: [-35, 23, -91, 62, -62, 64, -51, -70, 99]
  Compare 64 and -51
  Swap 64 and -51
  List after swap: [-35, 23, -91, 62, -62, -51, 64, -70, 99]
  Compare 64 and -70
  Swap 64 and -70
  List after swap: [-35, 23, -91, 62, -62, -51, -70, 64, 99]

Pass 3:
  Compare -35 and 23
  No swap needed
  Compare 23 and -91
  Swap 23 and -91
  List after swap: [-35, -91, 23, 62, -62, -51, -70, 64, 99]
  Compare 23 and 62
  No swap needed
  Compare 62 and -62
  Swap 62 and -62
  List after swap: [-35, -91, 23, -62, 62, -51, -70, 64, 99]
  Compare 62 and -51
  Swap 62 and -51
  List after swap: [-35, -91, 23, -62, -51, 62, -70, 64, 99]
  Compare 62 and -70
  Swap 62 and -70
  List after swap: [-35, -91, 23, -62, -51, -70, 62, 64, 99]

Pass 4:
  Compare -35 and -91
  Swap -35 and -91
  List after swap: [-91, -35, 23, -62, -51, -70, 62, 64, 99]
  Compare -35 and 23
  No swap needed
  Compare 23 and -62
  Swap 23 and -62
  List after swap: [-91, -35, -62, 23, -51, -70, 62, 64, 99]
  Compare 23 and -51
  Swap 23 and -51
  List after swap: [-91, -35, -62, -51, 23, -70, 62, 64, 99]
  Compare 23 and -70
  Swap 23 and -70
  List after swap: [-91, -35, -62, -51, -70, 23, 62, 64, 99]

Pass 5:
  Compare -91 and -35
  No swap needed
  Compare -35 and -62
  Swap -35 and -62
  List after swap: [-91, -62, -35, -51, -70, 23, 62, 64, 99]
  Compare -35 and -51
  Swap -35 and -51
  List after swap: [-91, -62, -51, -35, -70, 23, 62, 64, 99]
  Compare -35 and -70
  Swap -35 and -70
  List after swap: [-91, -62, -51, -70, -35, 23, 62, 64, 99]

Pass 6:
  Compare -91 and -62
  No swap needed
  Compare -62 and -51
  No swap needed
  Compare -51 and -70
  Swap -51 and -70
  List after swap: [-91, -62, -70, -51, -35, 23, 62, 64, 99]

Pass 7:
  Compare -91 and -62
  No swap needed
  Compare -62 and -70
  Swap -62 and -70
  List after swap: [-91, -70, -62, -51, -35, 23, 62, 64, 99]

Pass 8:
  Compare -91 and -70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -70, -62, -51, -35, 23, 62, 64, 99]
</think>

<response>-91, -70, -62, -51, -35, 23, 62, 64, 99</response>


input: Arrange the numbers -24, 35, -53, 63, -3, -46, -15, 90, -70, 92 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-24, 35, -53, 63, -3, -46, -15, 90, -70, 92]

Pass 1:
  Compare -24 and 35
  No swap needed
  Compare 35 and -53
  Swap 35 and -53
  List after swap: [-24, -53, 35, 63, -3, -46, -15, 90, -70, 92]
  Compare 35 and 63
  No swap needed
  Compare 63 and -3
  Swap 63 and -3
  List after swap: [-24, -53, 35, -3, 63, -46, -15, 90, -70, 92]
  Compare 63 and -46
  Swap 63 and -46
  List after swap: [-24, -53, 35, -3, -46, 63, -15, 90, -70, 92]
  Compare 63 and -15
  Swap 63 and -15
  List after swap: [-24, -53, 35, -3, -46, -15, 63, 90, -70, 92]
  Compare 63 and 90
  No swap needed
  Compare 90 and -70
  Swap 90 and -70
  List after swap: [-24, -53, 35, -3, -46, -15, 63, -70, 90, 92]
  Compare 90 and 92
  No swap needed

Pass 2:
  Compare -24 and -53
  Swap -24 and -53
  List after swap: [-53, -24, 35, -3, -46, -15, 63, -70, 90, 92]
  Compare -24 and 35
  No swap needed
  Compare 35 and -3
  Swap 35 and -3
  List after swap: [-53, -24, -3, 35, -46, -15, 63, -70, 90, 92]
  Compare 35 and -46
  Swap 35 and -46
  List after swap: [-53, -24, -3, -46, 35, -15, 63, -70, 90, 92]
  Compare 35 and -15
  Swap 35 and -15
  List after swap: [-53, -24, -3, -46, -15, 35, 63, -70, 90, 92]
  Compare 35 and 63
  No swap needed
  Compare 63 and -70
  Swap 63 and -70
  List after swap: [-53, -24, -3, -46, -15, 35, -70, 63, 90, 92]
  Compare 63 and 90
  No swap needed

Pass 3:
  Compare -53 and -24
  No swap needed
  Compare -24 and -3
  No swap needed
  Compare -3 and -46
  Swap -3 and -46
  List after swap: [-53, -24, -46, -3, -15, 35, -70, 63, 90, 92]
  Compare -3 and -15
  Swap -3 and -15
  List after swap: [-53, -24, -46, -15, -3, 35, -70, 63, 90, 92]
  Compare -3 and 35
  No swap needed
  Compare 35 and -70
  Swap 35 and -70
  List after swap: [-53, -24, -46, -15, -3, -70, 35, 63, 90, 92]
  Compare 35 and 63
  No swap needed

Pass 4:
  Compare -53 and -24
  No swap needed
  Compare -24 and -46
  Swap -24 and -46
  List after swap: [-53, -46, -24, -15, -3, -70, 35, 63, 90, 92]
  Compare -24 and -15
  No swap needed
  Compare -15 and -3
  No swap needed
  Compare -3 and -70
  Swap -3 and -70
  List after swap: [-53, -46, -24, -15, -70, -3, 35, 63, 90, 92]
  Compare -3 and 35
  No swap needed

Pass 5:
  Compare -53 and -46
  No swap needed
  Compare -46 and -24
  No swap needed
  Compare -24 and -15
  No swap needed
  Compare -15 and -70
  Swap -15 and -70
  List after swap: [-53, -46, -24, -70, -15, -3, 35, 63, 90, 92]
  Compare -15 and -3
  No swap needed

Pass 6:
  Compare -53 and -46
  No swap needed
  Compare -46 and -24
  No swap needed
  Compare -24 and -70
  Swap -24 and -70
  List after swap: [-53, -46, -70, -24, -15, -3, 35, 63, 90, 92]
  Compare -24 and -15
  No swap needed

Pass 7:
  Compare -53 and -46
  No swap needed
  Compare -46 and -70
  Swap -46 and -70
  List after swap: [-53, -70, -46, -24, -15, -3, 35, 63, 90, 92]
  Compare -46 and -24
  No swap needed

Pass 8:
  Compare -53 and -70
  Swap -53 and -70
  List after swap: [-70, -53, -46, -24, -15, -3, 35, 63, 90, 92]
  Compare -53 and -46
  No swap needed

Pass 9:
  Compare -70 and -53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -53, -46, -24, -15, -3, 35, 63, 90, 92]
</think>

<response>-70, -53, -46, -24, -15, -3, 35, 63, 90, 92</response>


input: Use the bubble sort technique to reorder 12, 84, 53, -86, -57, -97, -7 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [12, 84, 53, -86, -57, -97, -7]

Pass 1:
  Compare 12 and 84
  No swap needed
  Compare 84 and 53
  Swap 84 and 53
  List after swap: [12, 53, 84, -86, -57, -97, -7]
  Compare 84 and -86
  Swap 84 and -86
  List after swap: [12, 53, -86, 84, -57, -97, -7]
  Compare 84 and -57
  Swap 84 and -57
  List after swap: [12, 53, -86, -57, 84, -97, -7]
  Compare 84 and -97
  Swap 84 and -97
  List after swap: [12, 53, -86, -57, -97, 84, -7]
  Compare 84 and -7
  Swap 84 and -7
  List after swap: [12, 53, -86, -57, -97, -7, 84]

Pass 2:
  Compare 12 and 53
  No swap needed
  Compare 53 and -86
  Swap 53 and -86
  List after swap: [12, -86, 53, -57, -97, -7, 84]
  Compare 53 and -57
  Swap 53 and -57
  List after swap: [12, -86, -57, 53, -97, -7, 84]
  Compare 53 and -97
  Swap 53 and -97
  List after swap: [12, -86, -57, -97, 53, -7, 84]
  Compare 53 and -7
  Swap 53 and -7
  List after swap: [12, -86, -57, -97, -7, 53, 84]

Pass 3:
  Compare 12 and -86
  Swap 12 and -86
  List after swap: [-86, 12, -57, -97, -7, 53, 84]
  Compare 12 and -57
  Swap 12 and -57
  List after swap: [-86, -57, 12, -97, -7, 53, 84]
  Compare 12 and -97
  Swap 12 and -97
  List after swap: [-86, -57, -97, 12, -7, 53, 84]
  Compare 12 and -7
  Swap 12 and -7
  List after swap: [-86, -57, -97, -7, 12, 53, 84]

Pass 4:
  Compare -86 and -57
  No swap needed
  Compare -57 and -97
  Swap -57 and -97
  List after swap: [-86, -97, -57, -7, 12, 53, 84]
  Compare -57 and -7
  No swap needed

Pass 5:
  Compare -86 and -97
  Swap -86 and -97
  List after swap: [-97, -86, -57, -7, 12, 53, 84]
  Compare -86 and -57
  No swap needed

Pass 6:
  Compare -97 and -86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -86, -57, -7, 12, 53, 84]
</think>

<response>-97, -86, -57, -7, 12, 53, 84</response>


input: Demonstrate how bubble sort orders the integers -20, 32 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-20, 32]

Pass 1:
  Compare -20 and 32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-20, 32]
</think>

<response>-20, 32</response>


input: Implement bubble sort on -93, 62, 66, -2, -52, -14 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-93, 62, 66, -2, -52, -14]

Pass 1:
  Compare -93 and 62
  No swap needed
  Compare 62 and 66
  No swap needed
  Compare 66 and -2
  Swap 66 and -2
  List after swap: [-93, 62, -2, 66, -52, -14]
  Compare 66 and -52
  Swap 66 and -52
  List after swap: [-93, 62, -2, -52, 66, -14]
  Compare 66 and -14
  Swap 66 and -14
  List after swap: [-93, 62, -2, -52, -14, 66]

Pass 2:
  Compare -93 and 62
  No swap needed
  Compare 62 and -2
  Swap 62 and -2
  List after swap: [-93, -2, 62, -52, -14, 66]
  Compare 62 and -52
  Swap 62 and -52
  List after swap: [-93, -2, -52, 62, -14, 66]
  Compare 62 and -14
  Swap 62 and -14
  List after swap: [-93, -2, -52, -14, 62, 66]

Pass 3:
  Compare -93 and -2
  No swap needed
  Compare -2 and -52
  Swap -2 and -52
  List after swap: [-93, -52, -2, -14, 62, 66]
  Compare -2 and -14
  Swap -2 and -14
  List after swap: [-93, -52, -14, -2, 62, 66]

Pass 4:
  Compare -93 and -52
  No swap needed
  Compare -52 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -52, -14, -2, 62, 66]
</think>

<response>-93, -52, -14, -2, 62, 66</response>


input: Demonstrate how bubble sort orders the integers -77, -38, 39, -26, -64, 35, 24, -89, -44 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-77, -38, 39, -26, -64, 35, 24, -89, -44]

Pass 1:
  Compare -77 and -38
  No swap needed
  Compare -38 and 39
  No swap needed
  Compare 39 and -26
  Swap 39 and -26
  List after swap: [-77, -38, -26, 39, -64, 35, 24, -89, -44]
  Compare 39 and -64
  Swap 39 and -64
  List after swap: [-77, -38, -26, -64, 39, 35, 24, -89, -44]
  Compare 39 and 35
  Swap 39 and 35
  List after swap: [-77, -38, -26, -64, 35, 39, 24, -89, -44]
  Compare 39 and 24
  Swap 39 and 24
  List after swap: [-77, -38, -26, -64, 35, 24, 39, -89, -44]
  Compare 39 and -89
  Swap 39 and -89
  List after swap: [-77, -38, -26, -64, 35, 24, -89, 39, -44]
  Compare 39 and -44
  Swap 39 and -44
  List after swap: [-77, -38, -26, -64, 35, 24, -89, -44, 39]

Pass 2:
  Compare -77 and -38
  No swap needed
  Compare -38 and -26
  No swap needed
  Compare -26 and -64
  Swap -26 and -64
  List after swap: [-77, -38, -64, -26, 35, 24, -89, -44, 39]
  Compare -26 and 35
  No swap needed
  Compare 35 and 24
  Swap 35 and 24
  List after swap: [-77, -38, -64, -26, 24, 35, -89, -44, 39]
  Compare 35 and -89
  Swap 35 and -89
  List after swap: [-77, -38, -64, -26, 24, -89, 35, -44, 39]
  Compare 35 and -44
  Swap 35 and -44
  List after swap: [-77, -38, -64, -26, 24, -89, -44, 35, 39]

Pass 3:
  Compare -77 and -38
  No swap needed
  Compare -38 and -64
  Swap -38 and -64
  List after swap: [-77, -64, -38, -26, 24, -89, -44, 35, 39]
  Compare -38 and -26
  No swap needed
  Compare -26 and 24
  No swap needed
  Compare 24 and -89
  Swap 24 and -89
  List after swap: [-77, -64, -38, -26, -89, 24, -44, 35, 39]
  Compare 24 and -44
  Swap 24 and -44
  List after swap: [-77, -64, -38, -26, -89, -44, 24, 35, 39]

Pass 4:
  Compare -77 and -64
  No swap needed
  Compare -64 and -38
  No swap needed
  Compare -38 and -26
  No swap needed
  Compare -26 and -89
  Swap -26 and -89
  List after swap: [-77, -64, -38, -89, -26, -44, 24, 35, 39]
  Compare -26 and -44
  Swap -26 and -44
  List after swap: [-77, -64, -38, -89, -44, -26, 24, 35, 39]

Pass 5:
  Compare -77 and -64
  No swap needed
  Compare -64 and -38
  No swap needed
  Compare -38 and -89
  Swap -38 and -89
  List after swap: [-77, -64, -89, -38, -44, -26, 24, 35, 39]
  Compare -38 and -44
  Swap -38 and -44
  List after swap: [-77, -64, -89, -44, -38, -26, 24, 35, 39]

Pass 6:
  Compare -77 and -64
  No swap needed
  Compare -64 and -89
  Swap -64 and -89
  List after swap: [-77, -89, -64, -44, -38, -26, 24, 35, 39]
  Compare -64 and -44
  No swap needed

Pass 7:
  Compare -77 and -89
  Swap -77 and -89
  List after swap: [-89, -77, -64, -44, -38, -26, 24, 35, 39]
  Compare -77 and -64
  No swap needed

Pass 8:
  Compare -89 and -77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -77, -64, -44, -38, -26, 24, 35, 39]
</think>

<response>-89, -77, -64, -44, -38, -26, 24, 35, 39</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 65, 11, -76, 6, 41, 17, 78, -62, 84, -11.

output:
<think>
Initial list: [65, 11, -76, 6, 41, 17, 78, -62, 84, -11]

Pass 1:
  Compare 65 and 11
  Swap 65 and 11
  List after swap: [11, 65, -76, 6, 41, 17, 78, -62, 84, -11]
  Compare 65 and -76
  Swap 65 and -76
  List after swap: [11, -76, 65, 6, 41, 17, 78, -62, 84, -11]
  Compare 65 and 6
  Swap 65 and 6
  List after swap: [11, -76, 6, 65, 41, 17, 78, -62, 84, -11]
  Compare 65 and 41
  Swap 65 and 41
  List after swap: [11, -76, 6, 41, 65, 17, 78, -62, 84, -11]
  Compare 65 and 17
  Swap 65 and 17
  List after swap: [11, -76, 6, 41, 17, 65, 78, -62, 84, -11]
  Compare 65 and 78
  No swap needed
  Compare 78 and -62
  Swap 78 and -62
  List after swap: [11, -76, 6, 41, 17, 65, -62, 78, 84, -11]
  Compare 78 and 84
  No swap needed
  Compare 84 and -11
  Swap 84 and -11
  List after swap: [11, -76, 6, 41, 17, 65, -62, 78, -11, 84]

Pass 2:
  Compare 11 and -76
  Swap 11 and -76
  List after swap: [-76, 11, 6, 41, 17, 65, -62, 78, -11, 84]
  Compare 11 and 6
  Swap 11 and 6
  List after swap: [-76, 6, 11, 41, 17, 65, -62, 78, -11, 84]
  Compare 11 and 41
  No swap needed
  Compare 41 and 17
  Swap 41 and 17
  List after swap: [-76, 6, 11, 17, 41, 65, -62, 78, -11, 84]
  Compare 41 and 65
  No swap needed
  Compare 65 and -62
  Swap 65 and -62
  List after swap: [-76, 6, 11, 17, 41, -62, 65, 78, -11, 84]
  Compare 65 and 78
  No swap needed
  Compare 78 and -11
  Swap 78 and -11
  List after swap: [-76, 6, 11, 17, 41, -62, 65, -11, 78, 84]

Pass 3:
  Compare -76 and 6
  No swap needed
  Compare 6 and 11
  No swap needed
  Compare 11 and 17
  No swap needed
  Compare 17 and 41
  No swap needed
  Compare 41 and -62
  Swap 41 and -62
  List after swap: [-76, 6, 11, 17, -62, 41, 65, -11, 78, 84]
  Compare 41 and 65
  No swap needed
  Compare 65 and -11
  Swap 65 and -11
  List after swap: [-76, 6, 11, 17, -62, 41, -11, 65, 78, 84]

Pass 4:
  Compare -76 and 6
  No swap needed
  Compare 6 and 11
  No swap needed
  Compare 11 and 17
  No swap needed
  Compare 17 and -62
  Swap 17 and -62
  List after swap: [-76, 6, 11, -62, 17, 41, -11, 65, 78, 84]
  Compare 17 and 41
  No swap needed
  Compare 41 and -11
  Swap 41 and -11
  List after swap: [-76, 6, 11, -62, 17, -11, 41, 65, 78, 84]

Pass 5:
  Compare -76 and 6
  No swap needed
  Compare 6 and 11
  No swap needed
  Compare 11 and -62
  Swap 11 and -62
  List after swap: [-76, 6, -62, 11, 17, -11, 41, 65, 78, 84]
  Compare 11 and 17
  No swap needed
  Compare 17 and -11
  Swap 17 and -11
  List after swap: [-76, 6, -62, 11, -11, 17, 41, 65, 78, 84]

Pass 6:
  Compare -76 and 6
  No swap needed
  Compare 6 and -62
  Swap 6 and -62
  List after swap: [-76, -62, 6, 11, -11, 17, 41, 65, 78, 84]
  Compare 6 and 11
  No swap needed
  Compare 11 and -11
  Swap 11 and -11
  List after swap: [-76, -62, 6, -11, 11, 17, 41, 65, 78, 84]

Pass 7:
  Compare -76 and -62
  No swap needed
  Compare -62 and 6
  No swap needed
  Compare 6 and -11
  Swap 6 and -11
  List after swap: [-76, -62, -11, 6, 11, 17, 41, 65, 78, 84]

Pass 8:
  Compare -76 and -62
  No swap needed
  Compare -62 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -62, -11, 6, 11, 17, 41, 65, 78, 84]
</think>

<response>-76, -62, -11, 6, 11, 17, 41, 65, 78, 84</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 63, -61.

output:
<think>
Initial list: [63, -61]

Pass 1:
  Compare 63 and -61
  Swap 63 and -61
  List after swap: [-61, 63]

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

Final sorted list: [-61, 63]
</think>

<response>-61, 63</response>


input: Carry out the bubble sort algorithm on -80, 19, 77, 63, -77 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-80, 19, 77, 63, -77]

Pass 1:
  Compare -80 and 19
  No swap needed
  Compare 19 and 77
  No swap needed
  Compare 77 and 63
  Swap 77 and 63
  List after swap: [-80, 19, 63, 77, -77]
  Compare 77 and -77
  Swap 77 and -77
  List after swap: [-80, 19, 63, -77, 77]

Pass 2:
  Compare -80 and 19
  No swap needed
  Compare 19 and 63
  No swap needed
  Compare 63 and -77
  Swap 63 and -77
  List after swap: [-80, 19, -77, 63, 77]

Pass 3:
  Compare -80 and 19
  No swap needed
  Compare 19 and -77
  Swap 19 and -77
  List after swap: [-80, -77, 19, 63, 77]

Pass 4:
  Compare -80 and -77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -77, 19, 63, 77]
</think>

<response>-80, -77, 19, 63, 77</response>


input: Execute bubble sort to sort -38, 71, -54, 80, -74, 21, 86, 53 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-38, 71, -54, 80, -74, 21, 86, 53]

Pass 1:
  Compare -38 and 71
  No swap needed
  Compare 71 and -54
  Swap 71 and -54
  List after swap: [-38, -54, 71, 80, -74, 21, 86, 53]
  Compare 71 and 80
  No swap needed
  Compare 80 and -74
  Swap 80 and -74
  List after swap: [-38, -54, 71, -74, 80, 21, 86, 53]
  Compare 80 and 21
  Swap 80 and 21
  List after swap: [-38, -54, 71, -74, 21, 80, 86, 53]
  Compare 80 and 86
  No swap needed
  Compare 86 and 53
  Swap 86 and 53
  List after swap: [-38, -54, 71, -74, 21, 80, 53, 86]

Pass 2:
  Compare -38 and -54
  Swap -38 and -54
  List after swap: [-54, -38, 71, -74, 21, 80, 53, 86]
  Compare -38 and 71
  No swap needed
  Compare 71 and -74
  Swap 71 and -74
  List after swap: [-54, -38, -74, 71, 21, 80, 53, 86]
  Compare 71 and 21
  Swap 71 and 21
  List after swap: [-54, -38, -74, 21, 71, 80, 53, 86]
  Compare 71 and 80
  No swap needed
  Compare 80 and 53
  Swap 80 and 53
  List after swap: [-54, -38, -74, 21, 71, 53, 80, 86]

Pass 3:
  Compare -54 and -38
  No swap needed
  Compare -38 and -74
  Swap -38 and -74
  List after swap: [-54, -74, -38, 21, 71, 53, 80, 86]
  Compare -38 and 21
  No swap needed
  Compare 21 and 71
  No swap needed
  Compare 71 and 53
  Swap 71 and 53
  List after swap: [-54, -74, -38, 21, 53, 71, 80, 86]

Pass 4:
  Compare -54 and -74
  Swap -54 and -74
  List after swap: [-74, -54, -38, 21, 53, 71, 80, 86]
  Compare -54 and -38
  No swap needed
  Compare -38 and 21
  No swap needed
  Compare 21 and 53
  No swap needed

Pass 5:
  Compare -74 and -54
  No swap needed
  Compare -54 and -38
  No swap needed
  Compare -38 and 21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -54, -38, 21, 53, 71, 80, 86]
</think>

<response>-74, -54, -38, 21, 53, 71, 80, 86</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 65, -22, 55, 33, 79, 61, 6, 86.

output:
<think>
Initial list: [65, -22, 55, 33, 79, 61, 6, 86]

Pass 1:
  Compare 65 and -22
  Swap 65 and -22
  List after swap: [-22, 65, 55, 33, 79, 61, 6, 86]
  Compare 65 and 55
  Swap 65 and 55
  List after swap: [-22, 55, 65, 33, 79, 61, 6, 86]
  Compare 65 and 33
  Swap 65 and 33
  List after swap: [-22, 55, 33, 65, 79, 61, 6, 86]
  Compare 65 and 79
  No swap needed
  Compare 79 and 61
  Swap 79 and 61
  List after swap: [-22, 55, 33, 65, 61, 79, 6, 86]
  Compare 79 and 6
  Swap 79 and 6
  List after swap: [-22, 55, 33, 65, 61, 6, 79, 86]
  Compare 79 and 86
  No swap needed

Pass 2:
  Compare -22 and 55
  No swap needed
  Compare 55 and 33
  Swap 55 and 33
  List after swap: [-22, 33, 55, 65, 61, 6, 79, 86]
  Compare 55 and 65
  No swap needed
  Compare 65 and 61
  Swap 65 and 61
  List after swap: [-22, 33, 55, 61, 65, 6, 79, 86]
  Compare 65 and 6
  Swap 65 and 6
  List after swap: [-22, 33, 55, 61, 6, 65, 79, 86]
  Compare 65 and 79
  No swap needed

Pass 3:
  Compare -22 and 33
  No swap needed
  Compare 33 and 55
  No swap needed
  Compare 55 and 61
  No swap needed
  Compare 61 and 6
  Swap 61 and 6
  List after swap: [-22, 33, 55, 6, 61, 65, 79, 86]
  Compare 61 and 65
  No swap needed

Pass 4:
  Compare -22 and 33
  No swap needed
  Compare 33 and 55
  No swap needed
  Compare 55 and 6
  Swap 55 and 6
  List after swap: [-22, 33, 6, 55, 61, 65, 79, 86]
  Compare 55 and 61
  No swap needed

Pass 5:
  Compare -22 and 33
  No swap needed
  Compare 33 and 6
  Swap 33 and 6
  List after swap: [-22, 6, 33, 55, 61, 65, 79, 86]
  Compare 33 and 55
  No swap needed

Pass 6:
  Compare -22 and 6
  No swap needed
  Compare 6 and 33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-22, 6, 33, 55, 61, 65, 79, 86]
</think>

<response>-22, 6, 33, 55, 61, 65, 79, 86</response>


input: Execute bubble sort to sort 70, 64, 72 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [70, 64, 72]

Pass 1:
  Compare 70 and 64
  Swap 70 and 64
  List after swap: [64, 70, 72]
  Compare 70 and 72
  No swap needed

Pass 2:
  Compare 64 and 70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [64, 70, 72]
</think>

<response>64, 70, 72</response>


input: Perform a bubble sort on the integers -94, 20, -95, -1, 90, -99, -15, -88, 74, -41, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-94, 20, -95, -1, 90, -99, -15, -88, 74, -41]

Pass 1:
  Compare -94 and 20
  No swap needed
  Compare 20 and -95
  Swap 20 and -95
  List after swap: [-94, -95, 20, -1, 90, -99, -15, -88, 74, -41]
  Compare 20 and -1
  Swap 20 and -1
  List after swap: [-94, -95, -1, 20, 90, -99, -15, -88, 74, -41]
  Compare 20 and 90
  No swap needed
  Compare 90 and -99
  Swap 90 and -99
  List after swap: [-94, -95, -1, 20, -99, 90, -15, -88, 74, -41]
  Compare 90 and -15
  Swap 90 and -15
  List after swap: [-94, -95, -1, 20, -99, -15, 90, -88, 74, -41]
  Compare 90 and -88
  Swap 90 and -88
  List after swap: [-94, -95, -1, 20, -99, -15, -88, 90, 74, -41]
  Compare 90 and 74
  Swap 90 and 74
  List after swap: [-94, -95, -1, 20, -99, -15, -88, 74, 90, -41]
  Compare 90 and -41
  Swap 90 and -41
  List after swap: [-94, -95, -1, 20, -99, -15, -88, 74, -41, 90]

Pass 2:
  Compare -94 and -95
  Swap -94 and -95
  List after swap: [-95, -94, -1, 20, -99, -15, -88, 74, -41, 90]
  Compare -94 and -1
  No swap needed
  Compare -1 and 20
  No swap needed
  Compare 20 and -99
  Swap 20 and -99
  List after swap: [-95, -94, -1, -99, 20, -15, -88, 74, -41, 90]
  Compare 20 and -15
  Swap 20 and -15
  List after swap: [-95, -94, -1, -99, -15, 20, -88, 74, -41, 90]
  Compare 20 and -88
  Swap 20 and -88
  List after swap: [-95, -94, -1, -99, -15, -88, 20, 74, -41, 90]
  Compare 20 and 74
  No swap needed
  Compare 74 and -41
  Swap 74 and -41
  List after swap: [-95, -94, -1, -99, -15, -88, 20, -41, 74, 90]

Pass 3:
  Compare -95 and -94
  No swap needed
  Compare -94 and -1
  No swap needed
  Compare -1 and -99
  Swap -1 and -99
  List after swap: [-95, -94, -99, -1, -15, -88, 20, -41, 74, 90]
  Compare -1 and -15
  Swap -1 and -15
  List after swap: [-95, -94, -99, -15, -1, -88, 20, -41, 74, 90]
  Compare -1 and -88
  Swap -1 and -88
  List after swap: [-95, -94, -99, -15, -88, -1, 20, -41, 74, 90]
  Compare -1 and 20
  No swap needed
  Compare 20 and -41
  Swap 20 and -41
  List after swap: [-95, -94, -99, -15, -88, -1, -41, 20, 74, 90]

Pass 4:
  Compare -95 and -94
  No swap needed
  Compare -94 and -99
  Swap -94 and -99
  List after swap: [-95, -99, -94, -15, -88, -1, -41, 20, 74, 90]
  Compare -94 and -15
  No swap needed
  Compare -15 and -88
  Swap -15 and -88
  List after swap: [-95, -99, -94, -88, -15, -1, -41, 20, 74, 90]
  Compare -15 and -1
  No swap needed
  Compare -1 and -41
  Swap -1 and -41
  List after swap: [-95, -99, -94, -88, -15, -41, -1, 20, 74, 90]

Pass 5:
  Compare -95 and -99
  Swap -95 and -99
  List after swap: [-99, -95, -94, -88, -15, -41, -1, 20, 74, 90]
  Compare -95 and -94
  No swap needed
  Compare -94 and -88
  No swap needed
  Compare -88 and -15
  No swap needed
  Compare -15 and -41
  Swap -15 and -41
  List after swap: [-99, -95, -94, -88, -41, -15, -1, 20, 74, 90]

Pass 6:
  Compare -99 and -95
  No swap needed
  Compare -95 and -94
  No swap needed
  Compare -94 and -88
  No swap needed
  Compare -88 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -95, -94, -88, -41, -15, -1, 20, 74, 90]
</think>

<response>-99, -95, -94, -88, -41, -15, -1, 20, 74, 90</response>


input: Carry out the bubble sort algorithm on 31, 36, 28, 82, -69, 88, -4, 83 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [31, 36, 28, 82, -69, 88, -4, 83]

Pass 1:
  Compare 31 and 36
  No swap needed
  Compare 36 and 28
  Swap 36 and 28
  List after swap: [31, 28, 36, 82, -69, 88, -4, 83]
  Compare 36 and 82
  No swap needed
  Compare 82 and -69
  Swap 82 and -69
  List after swap: [31, 28, 36, -69, 82, 88, -4, 83]
  Compare 82 and 88
  No swap needed
  Compare 88 and -4
  Swap 88 and -4
  List after swap: [31, 28, 36, -69, 82, -4, 88, 83]
  Compare 88 and 83
  Swap 88 and 83
  List after swap: [31, 28, 36, -69, 82, -4, 83, 88]

Pass 2:
  Compare 31 and 28
  Swap 31 and 28
  List after swap: [28, 31, 36, -69, 82, -4, 83, 88]
  Compare 31 and 36
  No swap needed
  Compare 36 and -69
  Swap 36 and -69
  List after swap: [28, 31, -69, 36, 82, -4, 83, 88]
  Compare 36 and 82
  No swap needed
  Compare 82 and -4
  Swap 82 and -4
  List after swap: [28, 31, -69, 36, -4, 82, 83, 88]
  Compare 82 and 83
  No swap needed

Pass 3:
  Compare 28 and 31
  No swap needed
  Compare 31 and -69
  Swap 31 and -69
  List after swap: [28, -69, 31, 36, -4, 82, 83, 88]
  Compare 31 and 36
  No swap needed
  Compare 36 and -4
  Swap 36 and -4
  List after swap: [28, -69, 31, -4, 36, 82, 83, 88]
  Compare 36 and 82
  No swap needed

Pass 4:
  Compare 28 and -69
  Swap 28 and -69
  List after swap: [-69, 28, 31, -4, 36, 82, 83, 88]
  Compare 28 and 31
  No swap needed
  Compare 31 and -4
  Swap 31 and -4
  List after swap: [-69, 28, -4, 31, 36, 82, 83, 88]
  Compare 31 and 36
  No swap needed

Pass 5:
  Compare -69 and 28
  No swap needed
  Compare 28 and -4
  Swap 28 and -4
  List after swap: [-69, -4, 28, 31, 36, 82, 83, 88]
  Compare 28 and 31
  No swap needed

Pass 6:
  Compare -69 and -4
  No swap needed
  Compare -4 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -4, 28, 31, 36, 82, 83, 88]
</think>

<response>-69, -4, 28, 31, 36, 82, 83, 88</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 38, 72, 67, -37, -9, 92, -99, -63.

output:
<think>
Initial list: [38, 72, 67, -37, -9, 92, -99, -63]

Pass 1:
  Compare 38 and 72
  No swap needed
  Compare 72 and 67
  Swap 72 and 67
  List after swap: [38, 67, 72, -37, -9, 92, -99, -63]
  Compare 72 and -37
  Swap 72 and -37
  List after swap: [38, 67, -37, 72, -9, 92, -99, -63]
  Compare 72 and -9
  Swap 72 and -9
  List after swap: [38, 67, -37, -9, 72, 92, -99, -63]
  Compare 72 and 92
  No swap needed
  Compare 92 and -99
  Swap 92 and -99
  List after swap: [38, 67, -37, -9, 72, -99, 92, -63]
  Compare 92 and -63
  Swap 92 and -63
  List after swap: [38, 67, -37, -9, 72, -99, -63, 92]

Pass 2:
  Compare 38 and 67
  No swap needed
  Compare 67 and -37
  Swap 67 and -37
  List after swap: [38, -37, 67, -9, 72, -99, -63, 92]
  Compare 67 and -9
  Swap 67 and -9
  List after swap: [38, -37, -9, 67, 72, -99, -63, 92]
  Compare 67 and 72
  No swap needed
  Compare 72 and -99
  Swap 72 and -99
  List after swap: [38, -37, -9, 67, -99, 72, -63, 92]
  Compare 72 and -63
  Swap 72 and -63
  List after swap: [38, -37, -9, 67, -99, -63, 72, 92]

Pass 3:
  Compare 38 and -37
  Swap 38 and -37
  List after swap: [-37, 38, -9, 67, -99, -63, 72, 92]
  Compare 38 and -9
  Swap 38 and -9
  List after swap: [-37, -9, 38, 67, -99, -63, 72, 92]
  Compare 38 and 67
  No swap needed
  Compare 67 and -99
  Swap 67 and -99
  List after swap: [-37, -9, 38, -99, 67, -63, 72, 92]
  Compare 67 and -63
  Swap 67 and -63
  List after swap: [-37, -9, 38, -99, -63, 67, 72, 92]

Pass 4:
  Compare -37 and -9
  No swap needed
  Compare -9 and 38
  No swap needed
  Compare 38 and -99
  Swap 38 and -99
  List after swap: [-37, -9, -99, 38, -63, 67, 72, 92]
  Compare 38 and -63
  Swap 38 and -63
  List after swap: [-37, -9, -99, -63, 38, 67, 72, 92]

Pass 5:
  Compare -37 and -9
  No swap needed
  Compare -9 and -99
  Swap -9 and -99
  List after swap: [-37, -99, -9, -63, 38, 67, 72, 92]
  Compare -9 and -63
  Swap -9 and -63
  List after swap: [-37, -99, -63, -9, 38, 67, 72, 92]

Pass 6:
  Compare -37 and -99
  Swap -37 and -99
  List after swap: [-99, -37, -63, -9, 38, 67, 72, 92]
  Compare -37 and -63
  Swap -37 and -63
  List after swap: [-99, -63, -37, -9, 38, 67, 72, 92]

Pass 7:
  Compare -99 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -63, -37, -9, 38, 67, 72, 92]
</think>

<response>-99, -63, -37, -9, 38, 67, 72, 92</response>


input: Execute bubble sort to sort -64, -75, 7, 85, -88, 27, 67, -61 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-64, -75, 7, 85, -88, 27, 67, -61]

Pass 1:
  Compare -64 and -75
  Swap -64 and -75
  List after swap: [-75, -64, 7, 85, -88, 27, 67, -61]
  Compare -64 and 7
  No swap needed
  Compare 7 and 85
  No swap needed
  Compare 85 and -88
  Swap 85 and -88
  List after swap: [-75, -64, 7, -88, 85, 27, 67, -61]
  Compare 85 and 27
  Swap 85 and 27
  List after swap: [-75, -64, 7, -88, 27, 85, 67, -61]
  Compare 85 and 67
  Swap 85 and 67
  List after swap: [-75, -64, 7, -88, 27, 67, 85, -61]
  Compare 85 and -61
  Swap 85 and -61
  List after swap: [-75, -64, 7, -88, 27, 67, -61, 85]

Pass 2:
  Compare -75 and -64
  No swap needed
  Compare -64 and 7
  No swap needed
  Compare 7 and -88
  Swap 7 and -88
  List after swap: [-75, -64, -88, 7, 27, 67, -61, 85]
  Compare 7 and 27
  No swap needed
  Compare 27 and 67
  No swap needed
  Compare 67 and -61
  Swap 67 and -61
  List after swap: [-75, -64, -88, 7, 27, -61, 67, 85]

Pass 3:
  Compare -75 and -64
  No swap needed
  Compare -64 and -88
  Swap -64 and -88
  List after swap: [-75, -88, -64, 7, 27, -61, 67, 85]
  Compare -64 and 7
  No swap needed
  Compare 7 and 27
  No swap needed
  Compare 27 and -61
  Swap 27 and -61
  List after swap: [-75, -88, -64, 7, -61, 27, 67, 85]

Pass 4:
  Compare -75 and -88
  Swap -75 and -88
  List after swap: [-88, -75, -64, 7, -61, 27, 67, 85]
  Compare -75 and -64
  No swap needed
  Compare -64 and 7
  No swap needed
  Compare 7 and -61
  Swap 7 and -61
  List after swap: [-88, -75, -64, -61, 7, 27, 67, 85]

Pass 5:
  Compare -88 and -75
  No swap needed
  Compare -75 and -64
  No swap needed
  Compare -64 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -75, -64, -61, 7, 27, 67, 85]
</think>

<response>-88, -75, -64, -61, 7, 27, 67, 85</response>


input: Sort these integers -53, 78, 77, 43, 48, 99, 81 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-53, 78, 77, 43, 48, 99, 81]

Pass 1:
  Compare -53 and 78
  No swap needed
  Compare 78 and 77
  Swap 78 and 77
  List after swap: [-53, 77, 78, 43, 48, 99, 81]
  Compare 78 and 43
  Swap 78 and 43
  List after swap: [-53, 77, 43, 78, 48, 99, 81]
  Compare 78 and 48
  Swap 78 and 48
  List after swap: [-53, 77, 43, 48, 78, 99, 81]
  Compare 78 and 99
  No swap needed
  Compare 99 and 81
  Swap 99 and 81
  List after swap: [-53, 77, 43, 48, 78, 81, 99]

Pass 2:
  Compare -53 and 77
  No swap needed
  Compare 77 and 43
  Swap 77 and 43
  List after swap: [-53, 43, 77, 48, 78, 81, 99]
  Compare 77 and 48
  Swap 77 and 48
  List after swap: [-53, 43, 48, 77, 78, 81, 99]
  Compare 77 and 78
  No swap needed
  Compare 78 and 81
  No swap needed

Pass 3:
  Compare -53 and 43
  No swap needed
  Compare 43 and 48
  No swap needed
  Compare 48 and 77
  No swap needed
  Compare 77 and 78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-53, 43, 48, 77, 78, 81, 99]
</think>

<response>-53, 43, 48, 77, 78, 81, 99</response>


input: Demonstrate how bubble sort orders the integers 94, 83, 38, -57, -34, 25, 43, -13, 32 in ascending sequence, showing all steps.

output:
<think>
Initial list: [94, 83, 38, -57, -34, 25, 43, -13, 32]

Pass 1:
  Compare 94 and 83
  Swap 94 and 83
  List after swap: [83, 94, 38, -57, -34, 25, 43, -13, 32]
  Compare 94 and 38
  Swap 94 and 38
  List after swap: [83, 38, 94, -57, -34, 25, 43, -13, 32]
  Compare 94 and -57
  Swap 94 and -57
  List after swap: [83, 38, -57, 94, -34, 25, 43, -13, 32]
  Compare 94 and -34
  Swap 94 and -34
  List after swap: [83, 38, -57, -34, 94, 25, 43, -13, 32]
  Compare 94 and 25
  Swap 94 and 25
  List after swap: [83, 38, -57, -34, 25, 94, 43, -13, 32]
  Compare 94 and 43
  Swap 94 and 43
  List after swap: [83, 38, -57, -34, 25, 43, 94, -13, 32]
  Compare 94 and -13
  Swap 94 and -13
  List after swap: [83, 38, -57, -34, 25, 43, -13, 94, 32]
  Compare 94 and 32
  Swap 94 and 32
  List after swap: [83, 38, -57, -34, 25, 43, -13, 32, 94]

Pass 2:
  Compare 83 and 38
  Swap 83 and 38
  List after swap: [38, 83, -57, -34, 25, 43, -13, 32, 94]
  Compare 83 and -57
  Swap 83 and -57
  List after swap: [38, -57, 83, -34, 25, 43, -13, 32, 94]
  Compare 83 and -34
  Swap 83 and -34
  List after swap: [38, -57, -34, 83, 25, 43, -13, 32, 94]
  Compare 83 and 25
  Swap 83 and 25
  List after swap: [38, -57, -34, 25, 83, 43, -13, 32, 94]
  Compare 83 and 43
  Swap 83 and 43
  List after swap: [38, -57, -34, 25, 43, 83, -13, 32, 94]
  Compare 83 and -13
  Swap 83 and -13
  List after swap: [38, -57, -34, 25, 43, -13, 83, 32, 94]
  Compare 83 and 32
  Swap 83 and 32
  List after swap: [38, -57, -34, 25, 43, -13, 32, 83, 94]

Pass 3:
  Compare 38 and -57
  Swap 38 and -57
  List after swap: [-57, 38, -34, 25, 43, -13, 32, 83, 94]
  Compare 38 and -34
  Swap 38 and -34
  List after swap: [-57, -34, 38, 25, 43, -13, 32, 83, 94]
  Compare 38 and 25
  Swap 38 and 25
  List after swap: [-57, -34, 25, 38, 43, -13, 32, 83, 94]
  Compare 38 and 43
  No swap needed
  Compare 43 and -13
  Swap 43 and -13
  List after swap: [-57, -34, 25, 38, -13, 43, 32, 83, 94]
  Compare 43 and 32
  Swap 43 and 32
  List after swap: [-57, -34, 25, 38, -13, 32, 43, 83, 94]

Pass 4:
  Compare -57 and -34
  No swap needed
  Compare -34 and 25
  No swap needed
  Compare 25 and 38
  No swap needed
  Compare 38 and -13
  Swap 38 and -13
  List after swap: [-57, -34, 25, -13, 38, 32, 43, 83, 94]
  Compare 38 and 32
  Swap 38 and 32
  List after swap: [-57, -34, 25, -13, 32, 38, 43, 83, 94]

Pass 5:
  Compare -57 and -34
  No swap needed
  Compare -34 and 25
  No swap needed
  Compare 25 and -13
  Swap 25 and -13
  List after swap: [-57, -34, -13, 25, 32, 38, 43, 83, 94]
  Compare 25 and 32
  No swap needed

Pass 6:
  Compare -57 and -34
  No swap needed
  Compare -34 and -13
  No swap needed
  Compare -13 and 25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -34, -13, 25, 32, 38, 43, 83, 94]
</think>

<response>-57, -34, -13, 25, 32, 38, 43, 83, 94</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -82, 91, -56, -98, -88, -80, -86, -45, 10, -39.

output:
<think>
Initial list: [-82, 91, -56, -98, -88, -80, -86, -45, 10, -39]

Pass 1:
  Compare -82 and 91
  No swap needed
  Compare 91 and -56
  Swap 91 and -56
  List after swap: [-82, -56, 91, -98, -88, -80, -86, -45, 10, -39]
  Compare 91 and -98
  Swap 91 and -98
  List after swap: [-82, -56, -98, 91, -88, -80, -86, -45, 10, -39]
  Compare 91 and -88
  Swap 91 and -88
  List after swap: [-82, -56, -98, -88, 91, -80, -86, -45, 10, -39]
  Compare 91 and -80
  Swap 91 and -80
  List after swap: [-82, -56, -98, -88, -80, 91, -86, -45, 10, -39]
  Compare 91 and -86
  Swap 91 and -86
  List after swap: [-82, -56, -98, -88, -80, -86, 91, -45, 10, -39]
  Compare 91 and -45
  Swap 91 and -45
  List after swap: [-82, -56, -98, -88, -80, -86, -45, 91, 10, -39]
  Compare 91 and 10
  Swap 91 and 10
  List after swap: [-82, -56, -98, -88, -80, -86, -45, 10, 91, -39]
  Compare 91 and -39
  Swap 91 and -39
  List after swap: [-82, -56, -98, -88, -80, -86, -45, 10, -39, 91]

Pass 2:
  Compare -82 and -56
  No swap needed
  Compare -56 and -98
  Swap -56 and -98
  List after swap: [-82, -98, -56, -88, -80, -86, -45, 10, -39, 91]
  Compare -56 and -88
  Swap -56 and -88
  List after swap: [-82, -98, -88, -56, -80, -86, -45, 10, -39, 91]
  Compare -56 and -80
  Swap -56 and -80
  List after swap: [-82, -98, -88, -80, -56, -86, -45, 10, -39, 91]
  Compare -56 and -86
  Swap -56 and -86
  List after swap: [-82, -98, -88, -80, -86, -56, -45, 10, -39, 91]
  Compare -56 and -45
  No swap needed
  Compare -45 and 10
  No swap needed
  Compare 10 and -39
  Swap 10 and -39
  List after swap: [-82, -98, -88, -80, -86, -56, -45, -39, 10, 91]

Pass 3:
  Compare -82 and -98
  Swap -82 and -98
  List after swap: [-98, -82, -88, -80, -86, -56, -45, -39, 10, 91]
  Compare -82 and -88
  Swap -82 and -88
  List after swap: [-98, -88, -82, -80, -86, -56, -45, -39, 10, 91]
  Compare -82 and -80
  No swap needed
  Compare -80 and -86
  Swap -80 and -86
  List after swap: [-98, -88, -82, -86, -80, -56, -45, -39, 10, 91]
  Compare -80 and -56
  No swap needed
  Compare -56 and -45
  No swap needed
  Compare -45 and -39
  No swap needed

Pass 4:
  Compare -98 and -88
  No swap needed
  Compare -88 and -82
  No swap needed
  Compare -82 and -86
  Swap -82 and -86
  List after swap: [-98, -88, -86, -82, -80, -56, -45, -39, 10, 91]
  Compare -82 and -80
  No swap needed
  Compare -80 and -56
  No swap needed
  Compare -56 and -45
  No swap needed

Pass 5:
  Compare -98 and -88
  No swap needed
  Compare -88 and -86
  No swap needed
  Compare -86 and -82
  No swap needed
  Compare -82 and -80
  No swap needed
  Compare -80 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -88, -86, -82, -80, -56, -45, -39, 10, 91]
</think>

<response>-98, -88, -86, -82, -80, -56, -45, -39, 10, 91</response>


input: Arrange the numbers -75, -5, -15, -99, 30, -89, -55, 55, 50 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-75, -5, -15, -99, 30, -89, -55, 55, 50]

Pass 1:
  Compare -75 and -5
  No swap needed
  Compare -5 and -15
  Swap -5 and -15
  List after swap: [-75, -15, -5, -99, 30, -89, -55, 55, 50]
  Compare -5 and -99
  Swap -5 and -99
  List after swap: [-75, -15, -99, -5, 30, -89, -55, 55, 50]
  Compare -5 and 30
  No swap needed
  Compare 30 and -89
  Swap 30 and -89
  List after swap: [-75, -15, -99, -5, -89, 30, -55, 55, 50]
  Compare 30 and -55
  Swap 30 and -55
  List after swap: [-75, -15, -99, -5, -89, -55, 30, 55, 50]
  Compare 30 and 55
  No swap needed
  Compare 55 and 50
  Swap 55 and 50
  List after swap: [-75, -15, -99, -5, -89, -55, 30, 50, 55]

Pass 2:
  Compare -75 and -15
  No swap needed
  Compare -15 and -99
  Swap -15 and -99
  List after swap: [-75, -99, -15, -5, -89, -55, 30, 50, 55]
  Compare -15 and -5
  No swap needed
  Compare -5 and -89
  Swap -5 and -89
  List after swap: [-75, -99, -15, -89, -5, -55, 30, 50, 55]
  Compare -5 and -55
  Swap -5 and -55
  List after swap: [-75, -99, -15, -89, -55, -5, 30, 50, 55]
  Compare -5 and 30
  No swap needed
  Compare 30 and 50
  No swap needed

Pass 3:
  Compare -75 and -99
  Swap -75 and -99
  List after swap: [-99, -75, -15, -89, -55, -5, 30, 50, 55]
  Compare -75 and -15
  No swap needed
  Compare -15 and -89
  Swap -15 and -89
  List after swap: [-99, -75, -89, -15, -55, -5, 30, 50, 55]
  Compare -15 and -55
  Swap -15 and -55
  List after swap: [-99, -75, -89, -55, -15, -5, 30, 50, 55]
  Compare -15 and -5
  No swap needed
  Compare -5 and 30
  No swap needed

Pass 4:
  Compare -99 and -75
  No swap needed
  Compare -75 and -89
  Swap -75 and -89
  List after swap: [-99, -89, -75, -55, -15, -5, 30, 50, 55]
  Compare -75 and -55
  No swap needed
  Compare -55 and -15
  No swap needed
  Compare -15 and -5
  No swap needed

Pass 5:
  Compare -99 and -89
  No swap needed
  Compare -89 and -75
  No swap needed
  Compare -75 and -55
  No swap needed
  Compare -55 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -89, -75, -55, -15, -5, 30, 50, 55]
</think>

<response>-99, -89, -75, -55, -15, -5, 30, 50, 55</response>


input: Arrange the numbers 12, 61, 68, -52, -100, 23 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [12, 61, 68, -52, -100, 23]

Pass 1:
  Compare 12 and 61
  No swap needed
  Compare 61 and 68
  No swap needed
  Compare 68 and -52
  Swap 68 and -52
  List after swap: [12, 61, -52, 68, -100, 23]
  Compare 68 and -100
  Swap 68 and -100
  List after swap: [12, 61, -52, -100, 68, 23]
  Compare 68 and 23
  Swap 68 and 23
  List after swap: [12, 61, -52, -100, 23, 68]

Pass 2:
  Compare 12 and 61
  No swap needed
  Compare 61 and -52
  Swap 61 and -52
  List after swap: [12, -52, 61, -100, 23, 68]
  Compare 61 and -100
  Swap 61 and -100
  List after swap: [12, -52, -100, 61, 23, 68]
  Compare 61 and 23
  Swap 61 and 23
  List after swap: [12, -52, -100, 23, 61, 68]

Pass 3:
  Compare 12 and -52
  Swap 12 and -52
  List after swap: [-52, 12, -100, 23, 61, 68]
  Compare 12 and -100
  Swap 12 and -100
  List after swap: [-52, -100, 12, 23, 61, 68]
  Compare 12 and 23
  No swap needed

Pass 4:
  Compare -52 and -100
  Swap -52 and -100
  List after swap: [-100, -52, 12, 23, 61, 68]
  Compare -52 and 12
  No swap needed

Pass 5:
  Compare -100 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -52, 12, 23, 61, 68]
</think>

<response>-100, -52, 12, 23, 61, 68</response>


input: Carry out the bubble sort algorithm on -19, -70 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-19, -70]

Pass 1:
  Compare -19 and -70
  Swap -19 and -70
  List after swap: [-70, -19]

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

Final sorted list: [-70, -19]
</think>

<response>-70, -19</response>


input: Use the bubble sort technique to reorder 78, -48, 23, 72, 52, -84 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [78, -48, 23, 72, 52, -84]

Pass 1:
  Compare 78 and -48
  Swap 78 and -48
  List after swap: [-48, 78, 23, 72, 52, -84]
  Compare 78 and 23
  Swap 78 and 23
  List after swap: [-48, 23, 78, 72, 52, -84]
  Compare 78 and 72
  Swap 78 and 72
  List after swap: [-48, 23, 72, 78, 52, -84]
  Compare 78 and 52
  Swap 78 and 52
  List after swap: [-48, 23, 72, 52, 78, -84]
  Compare 78 and -84
  Swap 78 and -84
  List after swap: [-48, 23, 72, 52, -84, 78]

Pass 2:
  Compare -48 and 23
  No swap needed
  Compare 23 and 72
  No swap needed
  Compare 72 and 52
  Swap 72 and 52
  List after swap: [-48, 23, 52, 72, -84, 78]
  Compare 72 and -84
  Swap 72 and -84
  List after swap: [-48, 23, 52, -84, 72, 78]

Pass 3:
  Compare -48 and 23
  No swap needed
  Compare 23 and 52
  No swap needed
  Compare 52 and -84
  Swap 52 and -84
  List after swap: [-48, 23, -84, 52, 72, 78]

Pass 4:
  Compare -48 and 23
  No swap needed
  Compare 23 and -84
  Swap 23 and -84
  List after swap: [-48, -84, 23, 52, 72, 78]

Pass 5:
  Compare -48 and -84
  Swap -48 and -84
  List after swap: [-84, -48, 23, 52, 72, 78]

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

Final sorted list: [-84, -48, 23, 52, 72, 78]
</think>

<response>-84, -48, 23, 52, 72, 78</response>


input: Sort these integers 55, -52, 91, -78, 15, -1, 44, -42 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [55, -52, 91, -78, 15, -1, 44, -42]

Pass 1:
  Compare 55 and -52
  Swap 55 and -52
  List after swap: [-52, 55, 91, -78, 15, -1, 44, -42]
  Compare 55 and 91
  No swap needed
  Compare 91 and -78
  Swap 91 and -78
  List after swap: [-52, 55, -78, 91, 15, -1, 44, -42]
  Compare 91 and 15
  Swap 91 and 15
  List after swap: [-52, 55, -78, 15, 91, -1, 44, -42]
  Compare 91 and -1
  Swap 91 and -1
  List after swap: [-52, 55, -78, 15, -1, 91, 44, -42]
  Compare 91 and 44
  Swap 91 and 44
  List after swap: [-52, 55, -78, 15, -1, 44, 91, -42]
  Compare 91 and -42
  Swap 91 and -42
  List after swap: [-52, 55, -78, 15, -1, 44, -42, 91]

Pass 2:
  Compare -52 and 55
  No swap needed
  Compare 55 and -78
  Swap 55 and -78
  List after swap: [-52, -78, 55, 15, -1, 44, -42, 91]
  Compare 55 and 15
  Swap 55 and 15
  List after swap: [-52, -78, 15, 55, -1, 44, -42, 91]
  Compare 55 and -1
  Swap 55 and -1
  List after swap: [-52, -78, 15, -1, 55, 44, -42, 91]
  Compare 55 and 44
  Swap 55 and 44
  List after swap: [-52, -78, 15, -1, 44, 55, -42, 91]
  Compare 55 and -42
  Swap 55 and -42
  List after swap: [-52, -78, 15, -1, 44, -42, 55, 91]

Pass 3:
  Compare -52 and -78
  Swap -52 and -78
  List after swap: [-78, -52, 15, -1, 44, -42, 55, 91]
  Compare -52 and 15
  No swap needed
  Compare 15 and -1
  Swap 15 and -1
  List after swap: [-78, -52, -1, 15, 44, -42, 55, 91]
  Compare 15 and 44
  No swap needed
  Compare 44 and -42
  Swap 44 and -42
  List after swap: [-78, -52, -1, 15, -42, 44, 55, 91]

Pass 4:
  Compare -78 and -52
  No swap needed
  Compare -52 and -1
  No swap needed
  Compare -1 and 15
  No swap needed
  Compare 15 and -42
  Swap 15 and -42
  List after swap: [-78, -52, -1, -42, 15, 44, 55, 91]

Pass 5:
  Compare -78 and -52
  No swap needed
  Compare -52 and -1
  No swap needed
  Compare -1 and -42
  Swap -1 and -42
  List after swap: [-78, -52, -42, -1, 15, 44, 55, 91]

Pass 6:
  Compare -78 and -52
  No swap needed
  Compare -52 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -52, -42, -1, 15, 44, 55, 91]
</think>

<response>-78, -52, -42, -1, 15, 44, 55, 91</response>


input: Carry out the bubble sort algorithm on 89, -56, 26, 6 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [89, -56, 26, 6]

Pass 1:
  Compare 89 and -56
  Swap 89 and -56
  List after swap: [-56, 89, 26, 6]
  Compare 89 and 26
  Swap 89 and 26
  List after swap: [-56, 26, 89, 6]
  Compare 89 and 6
  Swap 89 and 6
  List after swap: [-56, 26, 6, 89]

Pass 2:
  Compare -56 and 26
  No swap needed
  Compare 26 and 6
  Swap 26 and 6
  List after swap: [-56, 6, 26, 89]

Pass 3:
  Compare -56 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, 6, 26, 89]
</think>

<response>-56, 6, 26, 89</response>