input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 44, 20, 86, -70, 96, 13, 81.

output:
<think>
Initial list: [44, 20, 86, -70, 96, 13, 81]

Pass 1:
  Compare 44 and 20
  Swap 44 and 20
  List after swap: [20, 44, 86, -70, 96, 13, 81]
  Compare 44 and 86
  No swap needed
  Compare 86 and -70
  Swap 86 and -70
  List after swap: [20, 44, -70, 86, 96, 13, 81]
  Compare 86 and 96
  No swap needed
  Compare 96 and 13
  Swap 96 and 13
  List after swap: [20, 44, -70, 86, 13, 96, 81]
  Compare 96 and 81
  Swap 96 and 81
  List after swap: [20, 44, -70, 86, 13, 81, 96]

Pass 2:
  Compare 20 and 44
  No swap needed
  Compare 44 and -70
  Swap 44 and -70
  List after swap: [20, -70, 44, 86, 13, 81, 96]
  Compare 44 and 86
  No swap needed
  Compare 86 and 13
  Swap 86 and 13
  List after swap: [20, -70, 44, 13, 86, 81, 96]
  Compare 86 and 81
  Swap 86 and 81
  List after swap: [20, -70, 44, 13, 81, 86, 96]

Pass 3:
  Compare 20 and -70
  Swap 20 and -70
  List after swap: [-70, 20, 44, 13, 81, 86, 96]
  Compare 20 and 44
  No swap needed
  Compare 44 and 13
  Swap 44 and 13
  List after swap: [-70, 20, 13, 44, 81, 86, 96]
  Compare 44 and 81
  No swap needed

Pass 4:
  Compare -70 and 20
  No swap needed
  Compare 20 and 13
  Swap 20 and 13
  List after swap: [-70, 13, 20, 44, 81, 86, 96]
  Compare 20 and 44
  No swap needed

Pass 5:
  Compare -70 and 13
  No swap needed
  Compare 13 and 20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, 13, 20, 44, 81, 86, 96]
</think>

<response>-70, 13, 20, 44, 81, 86, 96</response>


input: Using the bubble sort method, sort 33, 92, 2, 8, 35, 86, -6, 78 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [33, 92, 2, 8, 35, 86, -6, 78]

Pass 1:
  Compare 33 and 92
  No swap needed
  Compare 92 and 2
  Swap 92 and 2
  List after swap: [33, 2, 92, 8, 35, 86, -6, 78]
  Compare 92 and 8
  Swap 92 and 8
  List after swap: [33, 2, 8, 92, 35, 86, -6, 78]
  Compare 92 and 35
  Swap 92 and 35
  List after swap: [33, 2, 8, 35, 92, 86, -6, 78]
  Compare 92 and 86
  Swap 92 and 86
  List after swap: [33, 2, 8, 35, 86, 92, -6, 78]
  Compare 92 and -6
  Swap 92 and -6
  List after swap: [33, 2, 8, 35, 86, -6, 92, 78]
  Compare 92 and 78
  Swap 92 and 78
  List after swap: [33, 2, 8, 35, 86, -6, 78, 92]

Pass 2:
  Compare 33 and 2
  Swap 33 and 2
  List after swap: [2, 33, 8, 35, 86, -6, 78, 92]
  Compare 33 and 8
  Swap 33 and 8
  List after swap: [2, 8, 33, 35, 86, -6, 78, 92]
  Compare 33 and 35
  No swap needed
  Compare 35 and 86
  No swap needed
  Compare 86 and -6
  Swap 86 and -6
  List after swap: [2, 8, 33, 35, -6, 86, 78, 92]
  Compare 86 and 78
  Swap 86 and 78
  List after swap: [2, 8, 33, 35, -6, 78, 86, 92]

Pass 3:
  Compare 2 and 8
  No swap needed
  Compare 8 and 33
  No swap needed
  Compare 33 and 35
  No swap needed
  Compare 35 and -6
  Swap 35 and -6
  List after swap: [2, 8, 33, -6, 35, 78, 86, 92]
  Compare 35 and 78
  No swap needed

Pass 4:
  Compare 2 and 8
  No swap needed
  Compare 8 and 33
  No swap needed
  Compare 33 and -6
  Swap 33 and -6
  List after swap: [2, 8, -6, 33, 35, 78, 86, 92]
  Compare 33 and 35
  No swap needed

Pass 5:
  Compare 2 and 8
  No swap needed
  Compare 8 and -6
  Swap 8 and -6
  List after swap: [2, -6, 8, 33, 35, 78, 86, 92]
  Compare 8 and 33
  No swap needed

Pass 6:
  Compare 2 and -6
  Swap 2 and -6
  List after swap: [-6, 2, 8, 33, 35, 78, 86, 92]
  Compare 2 and 8
  No swap needed

Pass 7:
  Compare -6 and 2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-6, 2, 8, 33, 35, 78, 86, 92]
</think>

<response>-6, 2, 8, 33, 35, 78, 86, 92</response>


input: Use the bubble sort technique to reorder 90, 45, -11, -26, 17, 38, -66, 59 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [90, 45, -11, -26, 17, 38, -66, 59]

Pass 1:
  Compare 90 and 45
  Swap 90 and 45
  List after swap: [45, 90, -11, -26, 17, 38, -66, 59]
  Compare 90 and -11
  Swap 90 and -11
  List after swap: [45, -11, 90, -26, 17, 38, -66, 59]
  Compare 90 and -26
  Swap 90 and -26
  List after swap: [45, -11, -26, 90, 17, 38, -66, 59]
  Compare 90 and 17
  Swap 90 and 17
  List after swap: [45, -11, -26, 17, 90, 38, -66, 59]
  Compare 90 and 38
  Swap 90 and 38
  List after swap: [45, -11, -26, 17, 38, 90, -66, 59]
  Compare 90 and -66
  Swap 90 and -66
  List after swap: [45, -11, -26, 17, 38, -66, 90, 59]
  Compare 90 and 59
  Swap 90 and 59
  List after swap: [45, -11, -26, 17, 38, -66, 59, 90]

Pass 2:
  Compare 45 and -11
  Swap 45 and -11
  List after swap: [-11, 45, -26, 17, 38, -66, 59, 90]
  Compare 45 and -26
  Swap 45 and -26
  List after swap: [-11, -26, 45, 17, 38, -66, 59, 90]
  Compare 45 and 17
  Swap 45 and 17
  List after swap: [-11, -26, 17, 45, 38, -66, 59, 90]
  Compare 45 and 38
  Swap 45 and 38
  List after swap: [-11, -26, 17, 38, 45, -66, 59, 90]
  Compare 45 and -66
  Swap 45 and -66
  List after swap: [-11, -26, 17, 38, -66, 45, 59, 90]
  Compare 45 and 59
  No swap needed

Pass 3:
  Compare -11 and -26
  Swap -11 and -26
  List after swap: [-26, -11, 17, 38, -66, 45, 59, 90]
  Compare -11 and 17
  No swap needed
  Compare 17 and 38
  No swap needed
  Compare 38 and -66
  Swap 38 and -66
  List after swap: [-26, -11, 17, -66, 38, 45, 59, 90]
  Compare 38 and 45
  No swap needed

Pass 4:
  Compare -26 and -11
  No swap needed
  Compare -11 and 17
  No swap needed
  Compare 17 and -66
  Swap 17 and -66
  List after swap: [-26, -11, -66, 17, 38, 45, 59, 90]
  Compare 17 and 38
  No swap needed

Pass 5:
  Compare -26 and -11
  No swap needed
  Compare -11 and -66
  Swap -11 and -66
  List after swap: [-26, -66, -11, 17, 38, 45, 59, 90]
  Compare -11 and 17
  No swap needed

Pass 6:
  Compare -26 and -66
  Swap -26 and -66
  List after swap: [-66, -26, -11, 17, 38, 45, 59, 90]
  Compare -26 and -11
  No swap needed

Pass 7:
  Compare -66 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -26, -11, 17, 38, 45, 59, 90]
</think>

<response>-66, -26, -11, 17, 38, 45, 59, 90</response>


input: Execute bubble sort to sort -63, 63, 36, 9, -21 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-63, 63, 36, 9, -21]

Pass 1:
  Compare -63 and 63
  No swap needed
  Compare 63 and 36
  Swap 63 and 36
  List after swap: [-63, 36, 63, 9, -21]
  Compare 63 and 9
  Swap 63 and 9
  List after swap: [-63, 36, 9, 63, -21]
  Compare 63 and -21
  Swap 63 and -21
  List after swap: [-63, 36, 9, -21, 63]

Pass 2:
  Compare -63 and 36
  No swap needed
  Compare 36 and 9
  Swap 36 and 9
  List after swap: [-63, 9, 36, -21, 63]
  Compare 36 and -21
  Swap 36 and -21
  List after swap: [-63, 9, -21, 36, 63]

Pass 3:
  Compare -63 and 9
  No swap needed
  Compare 9 and -21
  Swap 9 and -21
  List after swap: [-63, -21, 9, 36, 63]

Pass 4:
  Compare -63 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -21, 9, 36, 63]
</think>

<response>-63, -21, 9, 36, 63</response>


input: Arrange the numbers -49, -73, 18, 47 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-49, -73, 18, 47]

Pass 1:
  Compare -49 and -73
  Swap -49 and -73
  List after swap: [-73, -49, 18, 47]
  Compare -49 and 18
  No swap needed
  Compare 18 and 47
  No swap needed

Pass 2:
  Compare -73 and -49
  No swap needed
  Compare -49 and 18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -49, 18, 47]
</think>

<response>-73, -49, 18, 47</response>


input: Perform a bubble sort on the integers 53, -10, -86, 73, -15, 59, -52, -58, -11, -32, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [53, -10, -86, 73, -15, 59, -52, -58, -11, -32]

Pass 1:
  Compare 53 and -10
  Swap 53 and -10
  List after swap: [-10, 53, -86, 73, -15, 59, -52, -58, -11, -32]
  Compare 53 and -86
  Swap 53 and -86
  List after swap: [-10, -86, 53, 73, -15, 59, -52, -58, -11, -32]
  Compare 53 and 73
  No swap needed
  Compare 73 and -15
  Swap 73 and -15
  List after swap: [-10, -86, 53, -15, 73, 59, -52, -58, -11, -32]
  Compare 73 and 59
  Swap 73 and 59
  List after swap: [-10, -86, 53, -15, 59, 73, -52, -58, -11, -32]
  Compare 73 and -52
  Swap 73 and -52
  List after swap: [-10, -86, 53, -15, 59, -52, 73, -58, -11, -32]
  Compare 73 and -58
  Swap 73 and -58
  List after swap: [-10, -86, 53, -15, 59, -52, -58, 73, -11, -32]
  Compare 73 and -11
  Swap 73 and -11
  List after swap: [-10, -86, 53, -15, 59, -52, -58, -11, 73, -32]
  Compare 73 and -32
  Swap 73 and -32
  List after swap: [-10, -86, 53, -15, 59, -52, -58, -11, -32, 73]

Pass 2:
  Compare -10 and -86
  Swap -10 and -86
  List after swap: [-86, -10, 53, -15, 59, -52, -58, -11, -32, 73]
  Compare -10 and 53
  No swap needed
  Compare 53 and -15
  Swap 53 and -15
  List after swap: [-86, -10, -15, 53, 59, -52, -58, -11, -32, 73]
  Compare 53 and 59
  No swap needed
  Compare 59 and -52
  Swap 59 and -52
  List after swap: [-86, -10, -15, 53, -52, 59, -58, -11, -32, 73]
  Compare 59 and -58
  Swap 59 and -58
  List after swap: [-86, -10, -15, 53, -52, -58, 59, -11, -32, 73]
  Compare 59 and -11
  Swap 59 and -11
  List after swap: [-86, -10, -15, 53, -52, -58, -11, 59, -32, 73]
  Compare 59 and -32
  Swap 59 and -32
  List after swap: [-86, -10, -15, 53, -52, -58, -11, -32, 59, 73]

Pass 3:
  Compare -86 and -10
  No swap needed
  Compare -10 and -15
  Swap -10 and -15
  List after swap: [-86, -15, -10, 53, -52, -58, -11, -32, 59, 73]
  Compare -10 and 53
  No swap needed
  Compare 53 and -52
  Swap 53 and -52
  List after swap: [-86, -15, -10, -52, 53, -58, -11, -32, 59, 73]
  Compare 53 and -58
  Swap 53 and -58
  List after swap: [-86, -15, -10, -52, -58, 53, -11, -32, 59, 73]
  Compare 53 and -11
  Swap 53 and -11
  List after swap: [-86, -15, -10, -52, -58, -11, 53, -32, 59, 73]
  Compare 53 and -32
  Swap 53 and -32
  List after swap: [-86, -15, -10, -52, -58, -11, -32, 53, 59, 73]

Pass 4:
  Compare -86 and -15
  No swap needed
  Compare -15 and -10
  No swap needed
  Compare -10 and -52
  Swap -10 and -52
  List after swap: [-86, -15, -52, -10, -58, -11, -32, 53, 59, 73]
  Compare -10 and -58
  Swap -10 and -58
  List after swap: [-86, -15, -52, -58, -10, -11, -32, 53, 59, 73]
  Compare -10 and -11
  Swap -10 and -11
  List after swap: [-86, -15, -52, -58, -11, -10, -32, 53, 59, 73]
  Compare -10 and -32
  Swap -10 and -32
  List after swap: [-86, -15, -52, -58, -11, -32, -10, 53, 59, 73]

Pass 5:
  Compare -86 and -15
  No swap needed
  Compare -15 and -52
  Swap -15 and -52
  List after swap: [-86, -52, -15, -58, -11, -32, -10, 53, 59, 73]
  Compare -15 and -58
  Swap -15 and -58
  List after swap: [-86, -52, -58, -15, -11, -32, -10, 53, 59, 73]
  Compare -15 and -11
  No swap needed
  Compare -11 and -32
  Swap -11 and -32
  List after swap: [-86, -52, -58, -15, -32, -11, -10, 53, 59, 73]

Pass 6:
  Compare -86 and -52
  No swap needed
  Compare -52 and -58
  Swap -52 and -58
  List after swap: [-86, -58, -52, -15, -32, -11, -10, 53, 59, 73]
  Compare -52 and -15
  No swap needed
  Compare -15 and -32
  Swap -15 and -32
  List after swap: [-86, -58, -52, -32, -15, -11, -10, 53, 59, 73]

Pass 7:
  Compare -86 and -58
  No swap needed
  Compare -58 and -52
  No swap needed
  Compare -52 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -58, -52, -32, -15, -11, -10, 53, 59, 73]
</think>

<response>-86, -58, -52, -32, -15, -11, -10, 53, 59, 73</response>


input: Using the bubble sort method, sort -100, -20, -78, 19, -68, -10, 81 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-100, -20, -78, 19, -68, -10, 81]

Pass 1:
  Compare -100 and -20
  No swap needed
  Compare -20 and -78
  Swap -20 and -78
  List after swap: [-100, -78, -20, 19, -68, -10, 81]
  Compare -20 and 19
  No swap needed
  Compare 19 and -68
  Swap 19 and -68
  List after swap: [-100, -78, -20, -68, 19, -10, 81]
  Compare 19 and -10
  Swap 19 and -10
  List after swap: [-100, -78, -20, -68, -10, 19, 81]
  Compare 19 and 81
  No swap needed

Pass 2:
  Compare -100 and -78
  No swap needed
  Compare -78 and -20
  No swap needed
  Compare -20 and -68
  Swap -20 and -68
  List after swap: [-100, -78, -68, -20, -10, 19, 81]
  Compare -20 and -10
  No swap needed
  Compare -10 and 19
  No swap needed

Pass 3:
  Compare -100 and -78
  No swap needed
  Compare -78 and -68
  No swap needed
  Compare -68 and -20
  No swap needed
  Compare -20 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -78, -68, -20, -10, 19, 81]
</think>

<response>-100, -78, -68, -20, -10, 19, 81</response>


input: Implement bubble sort on -30, -71, -45, 20, -93, 83, 5, 36, 86, -15 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-30, -71, -45, 20, -93, 83, 5, 36, 86, -15]

Pass 1:
  Compare -30 and -71
  Swap -30 and -71
  List after swap: [-71, -30, -45, 20, -93, 83, 5, 36, 86, -15]
  Compare -30 and -45
  Swap -30 and -45
  List after swap: [-71, -45, -30, 20, -93, 83, 5, 36, 86, -15]
  Compare -30 and 20
  No swap needed
  Compare 20 and -93
  Swap 20 and -93
  List after swap: [-71, -45, -30, -93, 20, 83, 5, 36, 86, -15]
  Compare 20 and 83
  No swap needed
  Compare 83 and 5
  Swap 83 and 5
  List after swap: [-71, -45, -30, -93, 20, 5, 83, 36, 86, -15]
  Compare 83 and 36
  Swap 83 and 36
  List after swap: [-71, -45, -30, -93, 20, 5, 36, 83, 86, -15]
  Compare 83 and 86
  No swap needed
  Compare 86 and -15
  Swap 86 and -15
  List after swap: [-71, -45, -30, -93, 20, 5, 36, 83, -15, 86]

Pass 2:
  Compare -71 and -45
  No swap needed
  Compare -45 and -30
  No swap needed
  Compare -30 and -93
  Swap -30 and -93
  List after swap: [-71, -45, -93, -30, 20, 5, 36, 83, -15, 86]
  Compare -30 and 20
  No swap needed
  Compare 20 and 5
  Swap 20 and 5
  List after swap: [-71, -45, -93, -30, 5, 20, 36, 83, -15, 86]
  Compare 20 and 36
  No swap needed
  Compare 36 and 83
  No swap needed
  Compare 83 and -15
  Swap 83 and -15
  List after swap: [-71, -45, -93, -30, 5, 20, 36, -15, 83, 86]

Pass 3:
  Compare -71 and -45
  No swap needed
  Compare -45 and -93
  Swap -45 and -93
  List after swap: [-71, -93, -45, -30, 5, 20, 36, -15, 83, 86]
  Compare -45 and -30
  No swap needed
  Compare -30 and 5
  No swap needed
  Compare 5 and 20
  No swap needed
  Compare 20 and 36
  No swap needed
  Compare 36 and -15
  Swap 36 and -15
  List after swap: [-71, -93, -45, -30, 5, 20, -15, 36, 83, 86]

Pass 4:
  Compare -71 and -93
  Swap -71 and -93
  List after swap: [-93, -71, -45, -30, 5, 20, -15, 36, 83, 86]
  Compare -71 and -45
  No swap needed
  Compare -45 and -30
  No swap needed
  Compare -30 and 5
  No swap needed
  Compare 5 and 20
  No swap needed
  Compare 20 and -15
  Swap 20 and -15
  List after swap: [-93, -71, -45, -30, 5, -15, 20, 36, 83, 86]

Pass 5:
  Compare -93 and -71
  No swap needed
  Compare -71 and -45
  No swap needed
  Compare -45 and -30
  No swap needed
  Compare -30 and 5
  No swap needed
  Compare 5 and -15
  Swap 5 and -15
  List after swap: [-93, -71, -45, -30, -15, 5, 20, 36, 83, 86]

Pass 6:
  Compare -93 and -71
  No swap needed
  Compare -71 and -45
  No swap needed
  Compare -45 and -30
  No swap needed
  Compare -30 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -71, -45, -30, -15, 5, 20, 36, 83, 86]
</think>

<response>-93, -71, -45, -30, -15, 5, 20, 36, 83, 86</response>


input: Use the bubble sort technique to reorder 29, -26, 87, 68, 88, -97 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [29, -26, 87, 68, 88, -97]

Pass 1:
  Compare 29 and -26
  Swap 29 and -26
  List after swap: [-26, 29, 87, 68, 88, -97]
  Compare 29 and 87
  No swap needed
  Compare 87 and 68
  Swap 87 and 68
  List after swap: [-26, 29, 68, 87, 88, -97]
  Compare 87 and 88
  No swap needed
  Compare 88 and -97
  Swap 88 and -97
  List after swap: [-26, 29, 68, 87, -97, 88]

Pass 2:
  Compare -26 and 29
  No swap needed
  Compare 29 and 68
  No swap needed
  Compare 68 and 87
  No swap needed
  Compare 87 and -97
  Swap 87 and -97
  List after swap: [-26, 29, 68, -97, 87, 88]

Pass 3:
  Compare -26 and 29
  No swap needed
  Compare 29 and 68
  No swap needed
  Compare 68 and -97
  Swap 68 and -97
  List after swap: [-26, 29, -97, 68, 87, 88]

Pass 4:
  Compare -26 and 29
  No swap needed
  Compare 29 and -97
  Swap 29 and -97
  List after swap: [-26, -97, 29, 68, 87, 88]

Pass 5:
  Compare -26 and -97
  Swap -26 and -97
  List after swap: [-97, -26, 29, 68, 87, 88]

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

Final sorted list: [-97, -26, 29, 68, 87, 88]
</think>

<response>-97, -26, 29, 68, 87, 88</response>


input: Sort these integers 95, 98, -6, 96, 18, -64, -34, 57, -26, -42 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [95, 98, -6, 96, 18, -64, -34, 57, -26, -42]

Pass 1:
  Compare 95 and 98
  No swap needed
  Compare 98 and -6
  Swap 98 and -6
  List after swap: [95, -6, 98, 96, 18, -64, -34, 57, -26, -42]
  Compare 98 and 96
  Swap 98 and 96
  List after swap: [95, -6, 96, 98, 18, -64, -34, 57, -26, -42]
  Compare 98 and 18
  Swap 98 and 18
  List after swap: [95, -6, 96, 18, 98, -64, -34, 57, -26, -42]
  Compare 98 and -64
  Swap 98 and -64
  List after swap: [95, -6, 96, 18, -64, 98, -34, 57, -26, -42]
  Compare 98 and -34
  Swap 98 and -34
  List after swap: [95, -6, 96, 18, -64, -34, 98, 57, -26, -42]
  Compare 98 and 57
  Swap 98 and 57
  List after swap: [95, -6, 96, 18, -64, -34, 57, 98, -26, -42]
  Compare 98 and -26
  Swap 98 and -26
  List after swap: [95, -6, 96, 18, -64, -34, 57, -26, 98, -42]
  Compare 98 and -42
  Swap 98 and -42
  List after swap: [95, -6, 96, 18, -64, -34, 57, -26, -42, 98]

Pass 2:
  Compare 95 and -6
  Swap 95 and -6
  List after swap: [-6, 95, 96, 18, -64, -34, 57, -26, -42, 98]
  Compare 95 and 96
  No swap needed
  Compare 96 and 18
  Swap 96 and 18
  List after swap: [-6, 95, 18, 96, -64, -34, 57, -26, -42, 98]
  Compare 96 and -64
  Swap 96 and -64
  List after swap: [-6, 95, 18, -64, 96, -34, 57, -26, -42, 98]
  Compare 96 and -34
  Swap 96 and -34
  List after swap: [-6, 95, 18, -64, -34, 96, 57, -26, -42, 98]
  Compare 96 and 57
  Swap 96 and 57
  List after swap: [-6, 95, 18, -64, -34, 57, 96, -26, -42, 98]
  Compare 96 and -26
  Swap 96 and -26
  List after swap: [-6, 95, 18, -64, -34, 57, -26, 96, -42, 98]
  Compare 96 and -42
  Swap 96 and -42
  List after swap: [-6, 95, 18, -64, -34, 57, -26, -42, 96, 98]

Pass 3:
  Compare -6 and 95
  No swap needed
  Compare 95 and 18
  Swap 95 and 18
  List after swap: [-6, 18, 95, -64, -34, 57, -26, -42, 96, 98]
  Compare 95 and -64
  Swap 95 and -64
  List after swap: [-6, 18, -64, 95, -34, 57, -26, -42, 96, 98]
  Compare 95 and -34
  Swap 95 and -34
  List after swap: [-6, 18, -64, -34, 95, 57, -26, -42, 96, 98]
  Compare 95 and 57
  Swap 95 and 57
  List after swap: [-6, 18, -64, -34, 57, 95, -26, -42, 96, 98]
  Compare 95 and -26
  Swap 95 and -26
  List after swap: [-6, 18, -64, -34, 57, -26, 95, -42, 96, 98]
  Compare 95 and -42
  Swap 95 and -42
  List after swap: [-6, 18, -64, -34, 57, -26, -42, 95, 96, 98]

Pass 4:
  Compare -6 and 18
  No swap needed
  Compare 18 and -64
  Swap 18 and -64
  List after swap: [-6, -64, 18, -34, 57, -26, -42, 95, 96, 98]
  Compare 18 and -34
  Swap 18 and -34
  List after swap: [-6, -64, -34, 18, 57, -26, -42, 95, 96, 98]
  Compare 18 and 57
  No swap needed
  Compare 57 and -26
  Swap 57 and -26
  List after swap: [-6, -64, -34, 18, -26, 57, -42, 95, 96, 98]
  Compare 57 and -42
  Swap 57 and -42
  List after swap: [-6, -64, -34, 18, -26, -42, 57, 95, 96, 98]

Pass 5:
  Compare -6 and -64
  Swap -6 and -64
  List after swap: [-64, -6, -34, 18, -26, -42, 57, 95, 96, 98]
  Compare -6 and -34
  Swap -6 and -34
  List after swap: [-64, -34, -6, 18, -26, -42, 57, 95, 96, 98]
  Compare -6 and 18
  No swap needed
  Compare 18 and -26
  Swap 18 and -26
  List after swap: [-64, -34, -6, -26, 18, -42, 57, 95, 96, 98]
  Compare 18 and -42
  Swap 18 and -42
  List after swap: [-64, -34, -6, -26, -42, 18, 57, 95, 96, 98]

Pass 6:
  Compare -64 and -34
  No swap needed
  Compare -34 and -6
  No swap needed
  Compare -6 and -26
  Swap -6 and -26
  List after swap: [-64, -34, -26, -6, -42, 18, 57, 95, 96, 98]
  Compare -6 and -42
  Swap -6 and -42
  List after swap: [-64, -34, -26, -42, -6, 18, 57, 95, 96, 98]

Pass 7:
  Compare -64 and -34
  No swap needed
  Compare -34 and -26
  No swap needed
  Compare -26 and -42
  Swap -26 and -42
  List after swap: [-64, -34, -42, -26, -6, 18, 57, 95, 96, 98]

Pass 8:
  Compare -64 and -34
  No swap needed
  Compare -34 and -42
  Swap -34 and -42
  List after swap: [-64, -42, -34, -26, -6, 18, 57, 95, 96, 98]

Pass 9:
  Compare -64 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -42, -34, -26, -6, 18, 57, 95, 96, 98]
</think>

<response>-64, -42, -34, -26, -6, 18, 57, 95, 96, 98</response>


input: Implement bubble sort on -96, -64, 41, -91, -52, 69, 70, -33 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-96, -64, 41, -91, -52, 69, 70, -33]

Pass 1:
  Compare -96 and -64
  No swap needed
  Compare -64 and 41
  No swap needed
  Compare 41 and -91
  Swap 41 and -91
  List after swap: [-96, -64, -91, 41, -52, 69, 70, -33]
  Compare 41 and -52
  Swap 41 and -52
  List after swap: [-96, -64, -91, -52, 41, 69, 70, -33]
  Compare 41 and 69
  No swap needed
  Compare 69 and 70
  No swap needed
  Compare 70 and -33
  Swap 70 and -33
  List after swap: [-96, -64, -91, -52, 41, 69, -33, 70]

Pass 2:
  Compare -96 and -64
  No swap needed
  Compare -64 and -91
  Swap -64 and -91
  List after swap: [-96, -91, -64, -52, 41, 69, -33, 70]
  Compare -64 and -52
  No swap needed
  Compare -52 and 41
  No swap needed
  Compare 41 and 69
  No swap needed
  Compare 69 and -33
  Swap 69 and -33
  List after swap: [-96, -91, -64, -52, 41, -33, 69, 70]

Pass 3:
  Compare -96 and -91
  No swap needed
  Compare -91 and -64
  No swap needed
  Compare -64 and -52
  No swap needed
  Compare -52 and 41
  No swap needed
  Compare 41 and -33
  Swap 41 and -33
  List after swap: [-96, -91, -64, -52, -33, 41, 69, 70]

Pass 4:
  Compare -96 and -91
  No swap needed
  Compare -91 and -64
  No swap needed
  Compare -64 and -52
  No swap needed
  Compare -52 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -91, -64, -52, -33, 41, 69, 70]
</think>

<response>-96, -91, -64, -52, -33, 41, 69, 70</response>


input: Use the bubble sort technique to reorder 31, 91, -98, -46, -58 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [31, 91, -98, -46, -58]

Pass 1:
  Compare 31 and 91
  No swap needed
  Compare 91 and -98
  Swap 91 and -98
  List after swap: [31, -98, 91, -46, -58]
  Compare 91 and -46
  Swap 91 and -46
  List after swap: [31, -98, -46, 91, -58]
  Compare 91 and -58
  Swap 91 and -58
  List after swap: [31, -98, -46, -58, 91]

Pass 2:
  Compare 31 and -98
  Swap 31 and -98
  List after swap: [-98, 31, -46, -58, 91]
  Compare 31 and -46
  Swap 31 and -46
  List after swap: [-98, -46, 31, -58, 91]
  Compare 31 and -58
  Swap 31 and -58
  List after swap: [-98, -46, -58, 31, 91]

Pass 3:
  Compare -98 and -46
  No swap needed
  Compare -46 and -58
  Swap -46 and -58
  List after swap: [-98, -58, -46, 31, 91]

Pass 4:
  Compare -98 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -58, -46, 31, 91]
</think>

<response>-98, -58, -46, 31, 91</response>


input: Demonstrate how bubble sort orders the integers 25, 78, -45, 30, 93, 44, -96, -6 in ascending sequence, showing all steps.

output:
<think>
Initial list: [25, 78, -45, 30, 93, 44, -96, -6]

Pass 1:
  Compare 25 and 78
  No swap needed
  Compare 78 and -45
  Swap 78 and -45
  List after swap: [25, -45, 78, 30, 93, 44, -96, -6]
  Compare 78 and 30
  Swap 78 and 30
  List after swap: [25, -45, 30, 78, 93, 44, -96, -6]
  Compare 78 and 93
  No swap needed
  Compare 93 and 44
  Swap 93 and 44
  List after swap: [25, -45, 30, 78, 44, 93, -96, -6]
  Compare 93 and -96
  Swap 93 and -96
  List after swap: [25, -45, 30, 78, 44, -96, 93, -6]
  Compare 93 and -6
  Swap 93 and -6
  List after swap: [25, -45, 30, 78, 44, -96, -6, 93]

Pass 2:
  Compare 25 and -45
  Swap 25 and -45
  List after swap: [-45, 25, 30, 78, 44, -96, -6, 93]
  Compare 25 and 30
  No swap needed
  Compare 30 and 78
  No swap needed
  Compare 78 and 44
  Swap 78 and 44
  List after swap: [-45, 25, 30, 44, 78, -96, -6, 93]
  Compare 78 and -96
  Swap 78 and -96
  List after swap: [-45, 25, 30, 44, -96, 78, -6, 93]
  Compare 78 and -6
  Swap 78 and -6
  List after swap: [-45, 25, 30, 44, -96, -6, 78, 93]

Pass 3:
  Compare -45 and 25
  No swap needed
  Compare 25 and 30
  No swap needed
  Compare 30 and 44
  No swap needed
  Compare 44 and -96
  Swap 44 and -96
  List after swap: [-45, 25, 30, -96, 44, -6, 78, 93]
  Compare 44 and -6
  Swap 44 and -6
  List after swap: [-45, 25, 30, -96, -6, 44, 78, 93]

Pass 4:
  Compare -45 and 25
  No swap needed
  Compare 25 and 30
  No swap needed
  Compare 30 and -96
  Swap 30 and -96
  List after swap: [-45, 25, -96, 30, -6, 44, 78, 93]
  Compare 30 and -6
  Swap 30 and -6
  List after swap: [-45, 25, -96, -6, 30, 44, 78, 93]

Pass 5:
  Compare -45 and 25
  No swap needed
  Compare 25 and -96
  Swap 25 and -96
  List after swap: [-45, -96, 25, -6, 30, 44, 78, 93]
  Compare 25 and -6
  Swap 25 and -6
  List after swap: [-45, -96, -6, 25, 30, 44, 78, 93]

Pass 6:
  Compare -45 and -96
  Swap -45 and -96
  List after swap: [-96, -45, -6, 25, 30, 44, 78, 93]
  Compare -45 and -6
  No swap needed

Pass 7:
  Compare -96 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -45, -6, 25, 30, 44, 78, 93]
</think>

<response>-96, -45, -6, 25, 30, 44, 78, 93</response>


input: Implement bubble sort on -29, -52, 57 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-29, -52, 57]

Pass 1:
  Compare -29 and -52
  Swap -29 and -52
  List after swap: [-52, -29, 57]
  Compare -29 and 57
  No swap needed

Pass 2:
  Compare -52 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, -29, 57]
</think>

<response>-52, -29, 57</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -6, 91, 4, 82, -68, 71.

output:
<think>
Initial list: [-6, 91, 4, 82, -68, 71]

Pass 1:
  Compare -6 and 91
  No swap needed
  Compare 91 and 4
  Swap 91 and 4
  List after swap: [-6, 4, 91, 82, -68, 71]
  Compare 91 and 82
  Swap 91 and 82
  List after swap: [-6, 4, 82, 91, -68, 71]
  Compare 91 and -68
  Swap 91 and -68
  List after swap: [-6, 4, 82, -68, 91, 71]
  Compare 91 and 71
  Swap 91 and 71
  List after swap: [-6, 4, 82, -68, 71, 91]

Pass 2:
  Compare -6 and 4
  No swap needed
  Compare 4 and 82
  No swap needed
  Compare 82 and -68
  Swap 82 and -68
  List after swap: [-6, 4, -68, 82, 71, 91]
  Compare 82 and 71
  Swap 82 and 71
  List after swap: [-6, 4, -68, 71, 82, 91]

Pass 3:
  Compare -6 and 4
  No swap needed
  Compare 4 and -68
  Swap 4 and -68
  List after swap: [-6, -68, 4, 71, 82, 91]
  Compare 4 and 71
  No swap needed

Pass 4:
  Compare -6 and -68
  Swap -6 and -68
  List after swap: [-68, -6, 4, 71, 82, 91]
  Compare -6 and 4
  No swap needed

Pass 5:
  Compare -68 and -6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -6, 4, 71, 82, 91]
</think>

<response>-68, -6, 4, 71, 82, 91</response>


input: Sort these integers 27, 14, -99 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [27, 14, -99]

Pass 1:
  Compare 27 and 14
  Swap 27 and 14
  List after swap: [14, 27, -99]
  Compare 27 and -99
  Swap 27 and -99
  List after swap: [14, -99, 27]

Pass 2:
  Compare 14 and -99
  Swap 14 and -99
  List after swap: [-99, 14, 27]

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

Final sorted list: [-99, 14, 27]
</think>

<response>-99, 14, 27</response>


input: Arrange the numbers -60, 83 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-60, 83]

Pass 1:
  Compare -60 and 83
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, 83]
</think>

<response>-60, 83</response>


input: Carry out the bubble sort algorithm on -17, -98, 17, 23, 68, -52, 86, 39 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-17, -98, 17, 23, 68, -52, 86, 39]

Pass 1:
  Compare -17 and -98
  Swap -17 and -98
  List after swap: [-98, -17, 17, 23, 68, -52, 86, 39]
  Compare -17 and 17
  No swap needed
  Compare 17 and 23
  No swap needed
  Compare 23 and 68
  No swap needed
  Compare 68 and -52
  Swap 68 and -52
  List after swap: [-98, -17, 17, 23, -52, 68, 86, 39]
  Compare 68 and 86
  No swap needed
  Compare 86 and 39
  Swap 86 and 39
  List after swap: [-98, -17, 17, 23, -52, 68, 39, 86]

Pass 2:
  Compare -98 and -17
  No swap needed
  Compare -17 and 17
  No swap needed
  Compare 17 and 23
  No swap needed
  Compare 23 and -52
  Swap 23 and -52
  List after swap: [-98, -17, 17, -52, 23, 68, 39, 86]
  Compare 23 and 68
  No swap needed
  Compare 68 and 39
  Swap 68 and 39
  List after swap: [-98, -17, 17, -52, 23, 39, 68, 86]

Pass 3:
  Compare -98 and -17
  No swap needed
  Compare -17 and 17
  No swap needed
  Compare 17 and -52
  Swap 17 and -52
  List after swap: [-98, -17, -52, 17, 23, 39, 68, 86]
  Compare 17 and 23
  No swap needed
  Compare 23 and 39
  No swap needed

Pass 4:
  Compare -98 and -17
  No swap needed
  Compare -17 and -52
  Swap -17 and -52
  List after swap: [-98, -52, -17, 17, 23, 39, 68, 86]
  Compare -17 and 17
  No swap needed
  Compare 17 and 23
  No swap needed

Pass 5:
  Compare -98 and -52
  No swap needed
  Compare -52 and -17
  No swap needed
  Compare -17 and 17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -52, -17, 17, 23, 39, 68, 86]
</think>

<response>-98, -52, -17, 17, 23, 39, 68, 86</response>


input: Perform a bubble sort on the integers 78, 6, 73, -54, -58, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [78, 6, 73, -54, -58]

Pass 1:
  Compare 78 and 6
  Swap 78 and 6
  List after swap: [6, 78, 73, -54, -58]
  Compare 78 and 73
  Swap 78 and 73
  List after swap: [6, 73, 78, -54, -58]
  Compare 78 and -54
  Swap 78 and -54
  List after swap: [6, 73, -54, 78, -58]
  Compare 78 and -58
  Swap 78 and -58
  List after swap: [6, 73, -54, -58, 78]

Pass 2:
  Compare 6 and 73
  No swap needed
  Compare 73 and -54
  Swap 73 and -54
  List after swap: [6, -54, 73, -58, 78]
  Compare 73 and -58
  Swap 73 and -58
  List after swap: [6, -54, -58, 73, 78]

Pass 3:
  Compare 6 and -54
  Swap 6 and -54
  List after swap: [-54, 6, -58, 73, 78]
  Compare 6 and -58
  Swap 6 and -58
  List after swap: [-54, -58, 6, 73, 78]

Pass 4:
  Compare -54 and -58
  Swap -54 and -58
  List after swap: [-58, -54, 6, 73, 78]

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

Final sorted list: [-58, -54, 6, 73, 78]
</think>

<response>-58, -54, 6, 73, 78</response>


input: Demonstrate how bubble sort orders the integers 50, 4, 89, 43, -37, -48, 91, 20, 80, 95 in ascending sequence, showing all steps.

output:
<think>
Initial list: [50, 4, 89, 43, -37, -48, 91, 20, 80, 95]

Pass 1:
  Compare 50 and 4
  Swap 50 and 4
  List after swap: [4, 50, 89, 43, -37, -48, 91, 20, 80, 95]
  Compare 50 and 89
  No swap needed
  Compare 89 and 43
  Swap 89 and 43
  List after swap: [4, 50, 43, 89, -37, -48, 91, 20, 80, 95]
  Compare 89 and -37
  Swap 89 and -37
  List after swap: [4, 50, 43, -37, 89, -48, 91, 20, 80, 95]
  Compare 89 and -48
  Swap 89 and -48
  List after swap: [4, 50, 43, -37, -48, 89, 91, 20, 80, 95]
  Compare 89 and 91
  No swap needed
  Compare 91 and 20
  Swap 91 and 20
  List after swap: [4, 50, 43, -37, -48, 89, 20, 91, 80, 95]
  Compare 91 and 80
  Swap 91 and 80
  List after swap: [4, 50, 43, -37, -48, 89, 20, 80, 91, 95]
  Compare 91 and 95
  No swap needed

Pass 2:
  Compare 4 and 50
  No swap needed
  Compare 50 and 43
  Swap 50 and 43
  List after swap: [4, 43, 50, -37, -48, 89, 20, 80, 91, 95]
  Compare 50 and -37
  Swap 50 and -37
  List after swap: [4, 43, -37, 50, -48, 89, 20, 80, 91, 95]
  Compare 50 and -48
  Swap 50 and -48
  List after swap: [4, 43, -37, -48, 50, 89, 20, 80, 91, 95]
  Compare 50 and 89
  No swap needed
  Compare 89 and 20
  Swap 89 and 20
  List after swap: [4, 43, -37, -48, 50, 20, 89, 80, 91, 95]
  Compare 89 and 80
  Swap 89 and 80
  List after swap: [4, 43, -37, -48, 50, 20, 80, 89, 91, 95]
  Compare 89 and 91
  No swap needed

Pass 3:
  Compare 4 and 43
  No swap needed
  Compare 43 and -37
  Swap 43 and -37
  List after swap: [4, -37, 43, -48, 50, 20, 80, 89, 91, 95]
  Compare 43 and -48
  Swap 43 and -48
  List after swap: [4, -37, -48, 43, 50, 20, 80, 89, 91, 95]
  Compare 43 and 50
  No swap needed
  Compare 50 and 20
  Swap 50 and 20
  List after swap: [4, -37, -48, 43, 20, 50, 80, 89, 91, 95]
  Compare 50 and 80
  No swap needed
  Compare 80 and 89
  No swap needed

Pass 4:
  Compare 4 and -37
  Swap 4 and -37
  List after swap: [-37, 4, -48, 43, 20, 50, 80, 89, 91, 95]
  Compare 4 and -48
  Swap 4 and -48
  List after swap: [-37, -48, 4, 43, 20, 50, 80, 89, 91, 95]
  Compare 4 and 43
  No swap needed
  Compare 43 and 20
  Swap 43 and 20
  List after swap: [-37, -48, 4, 20, 43, 50, 80, 89, 91, 95]
  Compare 43 and 50
  No swap needed
  Compare 50 and 80
  No swap needed

Pass 5:
  Compare -37 and -48
  Swap -37 and -48
  List after swap: [-48, -37, 4, 20, 43, 50, 80, 89, 91, 95]
  Compare -37 and 4
  No swap needed
  Compare 4 and 20
  No swap needed
  Compare 20 and 43
  No swap needed
  Compare 43 and 50
  No swap needed

Pass 6:
  Compare -48 and -37
  No swap needed
  Compare -37 and 4
  No swap needed
  Compare 4 and 20
  No swap needed
  Compare 20 and 43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-48, -37, 4, 20, 43, 50, 80, 89, 91, 95]
</think>

<response>-48, -37, 4, 20, 43, 50, 80, 89, 91, 95</response>


input: Demonstrate how bubble sort orders the integers -45, 24, 65, 23 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-45, 24, 65, 23]

Pass 1:
  Compare -45 and 24
  No swap needed
  Compare 24 and 65
  No swap needed
  Compare 65 and 23
  Swap 65 and 23
  List after swap: [-45, 24, 23, 65]

Pass 2:
  Compare -45 and 24
  No swap needed
  Compare 24 and 23
  Swap 24 and 23
  List after swap: [-45, 23, 24, 65]

Pass 3:
  Compare -45 and 23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-45, 23, 24, 65]
</think>

<response>-45, 23, 24, 65</response>


input: Demonstrate how bubble sort orders the integers 85, -20, 49, -74, -32, -6, -33, 28 in ascending sequence, showing all steps.

output:
<think>
Initial list: [85, -20, 49, -74, -32, -6, -33, 28]

Pass 1:
  Compare 85 and -20
  Swap 85 and -20
  List after swap: [-20, 85, 49, -74, -32, -6, -33, 28]
  Compare 85 and 49
  Swap 85 and 49
  List after swap: [-20, 49, 85, -74, -32, -6, -33, 28]
  Compare 85 and -74
  Swap 85 and -74
  List after swap: [-20, 49, -74, 85, -32, -6, -33, 28]
  Compare 85 and -32
  Swap 85 and -32
  List after swap: [-20, 49, -74, -32, 85, -6, -33, 28]
  Compare 85 and -6
  Swap 85 and -6
  List after swap: [-20, 49, -74, -32, -6, 85, -33, 28]
  Compare 85 and -33
  Swap 85 and -33
  List after swap: [-20, 49, -74, -32, -6, -33, 85, 28]
  Compare 85 and 28
  Swap 85 and 28
  List after swap: [-20, 49, -74, -32, -6, -33, 28, 85]

Pass 2:
  Compare -20 and 49
  No swap needed
  Compare 49 and -74
  Swap 49 and -74
  List after swap: [-20, -74, 49, -32, -6, -33, 28, 85]
  Compare 49 and -32
  Swap 49 and -32
  List after swap: [-20, -74, -32, 49, -6, -33, 28, 85]
  Compare 49 and -6
  Swap 49 and -6
  List after swap: [-20, -74, -32, -6, 49, -33, 28, 85]
  Compare 49 and -33
  Swap 49 and -33
  List after swap: [-20, -74, -32, -6, -33, 49, 28, 85]
  Compare 49 and 28
  Swap 49 and 28
  List after swap: [-20, -74, -32, -6, -33, 28, 49, 85]

Pass 3:
  Compare -20 and -74
  Swap -20 and -74
  List after swap: [-74, -20, -32, -6, -33, 28, 49, 85]
  Compare -20 and -32
  Swap -20 and -32
  List after swap: [-74, -32, -20, -6, -33, 28, 49, 85]
  Compare -20 and -6
  No swap needed
  Compare -6 and -33
  Swap -6 and -33
  List after swap: [-74, -32, -20, -33, -6, 28, 49, 85]
  Compare -6 and 28
  No swap needed

Pass 4:
  Compare -74 and -32
  No swap needed
  Compare -32 and -20
  No swap needed
  Compare -20 and -33
  Swap -20 and -33
  List after swap: [-74, -32, -33, -20, -6, 28, 49, 85]
  Compare -20 and -6
  No swap needed

Pass 5:
  Compare -74 and -32
  No swap needed
  Compare -32 and -33
  Swap -32 and -33
  List after swap: [-74, -33, -32, -20, -6, 28, 49, 85]
  Compare -32 and -20
  No swap needed

Pass 6:
  Compare -74 and -33
  No swap needed
  Compare -33 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -33, -32, -20, -6, 28, 49, 85]
</think>

<response>-74, -33, -32, -20, -6, 28, 49, 85</response>


input: Using the bubble sort method, sort 23, -4, -50, -93, -32, 68, -43 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [23, -4, -50, -93, -32, 68, -43]

Pass 1:
  Compare 23 and -4
  Swap 23 and -4
  List after swap: [-4, 23, -50, -93, -32, 68, -43]
  Compare 23 and -50
  Swap 23 and -50
  List after swap: [-4, -50, 23, -93, -32, 68, -43]
  Compare 23 and -93
  Swap 23 and -93
  List after swap: [-4, -50, -93, 23, -32, 68, -43]
  Compare 23 and -32
  Swap 23 and -32
  List after swap: [-4, -50, -93, -32, 23, 68, -43]
  Compare 23 and 68
  No swap needed
  Compare 68 and -43
  Swap 68 and -43
  List after swap: [-4, -50, -93, -32, 23, -43, 68]

Pass 2:
  Compare -4 and -50
  Swap -4 and -50
  List after swap: [-50, -4, -93, -32, 23, -43, 68]
  Compare -4 and -93
  Swap -4 and -93
  List after swap: [-50, -93, -4, -32, 23, -43, 68]
  Compare -4 and -32
  Swap -4 and -32
  List after swap: [-50, -93, -32, -4, 23, -43, 68]
  Compare -4 and 23
  No swap needed
  Compare 23 and -43
  Swap 23 and -43
  List after swap: [-50, -93, -32, -4, -43, 23, 68]

Pass 3:
  Compare -50 and -93
  Swap -50 and -93
  List after swap: [-93, -50, -32, -4, -43, 23, 68]
  Compare -50 and -32
  No swap needed
  Compare -32 and -4
  No swap needed
  Compare -4 and -43
  Swap -4 and -43
  List after swap: [-93, -50, -32, -43, -4, 23, 68]

Pass 4:
  Compare -93 and -50
  No swap needed
  Compare -50 and -32
  No swap needed
  Compare -32 and -43
  Swap -32 and -43
  List after swap: [-93, -50, -43, -32, -4, 23, 68]

Pass 5:
  Compare -93 and -50
  No swap needed
  Compare -50 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -50, -43, -32, -4, 23, 68]
</think>

<response>-93, -50, -43, -32, -4, 23, 68</response>


input: Sort these integers 19, -47, -84, -23, -1, 27, -15, -28, 34, -18 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [19, -47, -84, -23, -1, 27, -15, -28, 34, -18]

Pass 1:
  Compare 19 and -47
  Swap 19 and -47
  List after swap: [-47, 19, -84, -23, -1, 27, -15, -28, 34, -18]
  Compare 19 and -84
  Swap 19 and -84
  List after swap: [-47, -84, 19, -23, -1, 27, -15, -28, 34, -18]
  Compare 19 and -23
  Swap 19 and -23
  List after swap: [-47, -84, -23, 19, -1, 27, -15, -28, 34, -18]
  Compare 19 and -1
  Swap 19 and -1
  List after swap: [-47, -84, -23, -1, 19, 27, -15, -28, 34, -18]
  Compare 19 and 27
  No swap needed
  Compare 27 and -15
  Swap 27 and -15
  List after swap: [-47, -84, -23, -1, 19, -15, 27, -28, 34, -18]
  Compare 27 and -28
  Swap 27 and -28
  List after swap: [-47, -84, -23, -1, 19, -15, -28, 27, 34, -18]
  Compare 27 and 34
  No swap needed
  Compare 34 and -18
  Swap 34 and -18
  List after swap: [-47, -84, -23, -1, 19, -15, -28, 27, -18, 34]

Pass 2:
  Compare -47 and -84
  Swap -47 and -84
  List after swap: [-84, -47, -23, -1, 19, -15, -28, 27, -18, 34]
  Compare -47 and -23
  No swap needed
  Compare -23 and -1
  No swap needed
  Compare -1 and 19
  No swap needed
  Compare 19 and -15
  Swap 19 and -15
  List after swap: [-84, -47, -23, -1, -15, 19, -28, 27, -18, 34]
  Compare 19 and -28
  Swap 19 and -28
  List after swap: [-84, -47, -23, -1, -15, -28, 19, 27, -18, 34]
  Compare 19 and 27
  No swap needed
  Compare 27 and -18
  Swap 27 and -18
  List after swap: [-84, -47, -23, -1, -15, -28, 19, -18, 27, 34]

Pass 3:
  Compare -84 and -47
  No swap needed
  Compare -47 and -23
  No swap needed
  Compare -23 and -1
  No swap needed
  Compare -1 and -15
  Swap -1 and -15
  List after swap: [-84, -47, -23, -15, -1, -28, 19, -18, 27, 34]
  Compare -1 and -28
  Swap -1 and -28
  List after swap: [-84, -47, -23, -15, -28, -1, 19, -18, 27, 34]
  Compare -1 and 19
  No swap needed
  Compare 19 and -18
  Swap 19 and -18
  List after swap: [-84, -47, -23, -15, -28, -1, -18, 19, 27, 34]

Pass 4:
  Compare -84 and -47
  No swap needed
  Compare -47 and -23
  No swap needed
  Compare -23 and -15
  No swap needed
  Compare -15 and -28
  Swap -15 and -28
  List after swap: [-84, -47, -23, -28, -15, -1, -18, 19, 27, 34]
  Compare -15 and -1
  No swap needed
  Compare -1 and -18
  Swap -1 and -18
  List after swap: [-84, -47, -23, -28, -15, -18, -1, 19, 27, 34]

Pass 5:
  Compare -84 and -47
  No swap needed
  Compare -47 and -23
  No swap needed
  Compare -23 and -28
  Swap -23 and -28
  List after swap: [-84, -47, -28, -23, -15, -18, -1, 19, 27, 34]
  Compare -23 and -15
  No swap needed
  Compare -15 and -18
  Swap -15 and -18
  List after swap: [-84, -47, -28, -23, -18, -15, -1, 19, 27, 34]

Pass 6:
  Compare -84 and -47
  No swap needed
  Compare -47 and -28
  No swap needed
  Compare -28 and -23
  No swap needed
  Compare -23 and -18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -47, -28, -23, -18, -15, -1, 19, 27, 34]
</think>

<response>-84, -47, -28, -23, -18, -15, -1, 19, 27, 34</response>


input: Sort these integers -97, 30, 4, -23 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-97, 30, 4, -23]

Pass 1:
  Compare -97 and 30
  No swap needed
  Compare 30 and 4
  Swap 30 and 4
  List after swap: [-97, 4, 30, -23]
  Compare 30 and -23
  Swap 30 and -23
  List after swap: [-97, 4, -23, 30]

Pass 2:
  Compare -97 and 4
  No swap needed
  Compare 4 and -23
  Swap 4 and -23
  List after swap: [-97, -23, 4, 30]

Pass 3:
  Compare -97 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -23, 4, 30]
</think>

<response>-97, -23, 4, 30</response>


input: Implement bubble sort on -79, -45, -77, -15, 1, 97, 64, -51, 39, 35 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-79, -45, -77, -15, 1, 97, 64, -51, 39, 35]

Pass 1:
  Compare -79 and -45
  No swap needed
  Compare -45 and -77
  Swap -45 and -77
  List after swap: [-79, -77, -45, -15, 1, 97, 64, -51, 39, 35]
  Compare -45 and -15
  No swap needed
  Compare -15 and 1
  No swap needed
  Compare 1 and 97
  No swap needed
  Compare 97 and 64
  Swap 97 and 64
  List after swap: [-79, -77, -45, -15, 1, 64, 97, -51, 39, 35]
  Compare 97 and -51
  Swap 97 and -51
  List after swap: [-79, -77, -45, -15, 1, 64, -51, 97, 39, 35]
  Compare 97 and 39
  Swap 97 and 39
  List after swap: [-79, -77, -45, -15, 1, 64, -51, 39, 97, 35]
  Compare 97 and 35
  Swap 97 and 35
  List after swap: [-79, -77, -45, -15, 1, 64, -51, 39, 35, 97]

Pass 2:
  Compare -79 and -77
  No swap needed
  Compare -77 and -45
  No swap needed
  Compare -45 and -15
  No swap needed
  Compare -15 and 1
  No swap needed
  Compare 1 and 64
  No swap needed
  Compare 64 and -51
  Swap 64 and -51
  List after swap: [-79, -77, -45, -15, 1, -51, 64, 39, 35, 97]
  Compare 64 and 39
  Swap 64 and 39
  List after swap: [-79, -77, -45, -15, 1, -51, 39, 64, 35, 97]
  Compare 64 and 35
  Swap 64 and 35
  List after swap: [-79, -77, -45, -15, 1, -51, 39, 35, 64, 97]

Pass 3:
  Compare -79 and -77
  No swap needed
  Compare -77 and -45
  No swap needed
  Compare -45 and -15
  No swap needed
  Compare -15 and 1
  No swap needed
  Compare 1 and -51
  Swap 1 and -51
  List after swap: [-79, -77, -45, -15, -51, 1, 39, 35, 64, 97]
  Compare 1 and 39
  No swap needed
  Compare 39 and 35
  Swap 39 and 35
  List after swap: [-79, -77, -45, -15, -51, 1, 35, 39, 64, 97]

Pass 4:
  Compare -79 and -77
  No swap needed
  Compare -77 and -45
  No swap needed
  Compare -45 and -15
  No swap needed
  Compare -15 and -51
  Swap -15 and -51
  List after swap: [-79, -77, -45, -51, -15, 1, 35, 39, 64, 97]
  Compare -15 and 1
  No swap needed
  Compare 1 and 35
  No swap needed

Pass 5:
  Compare -79 and -77
  No swap needed
  Compare -77 and -45
  No swap needed
  Compare -45 and -51
  Swap -45 and -51
  List after swap: [-79, -77, -51, -45, -15, 1, 35, 39, 64, 97]
  Compare -45 and -15
  No swap needed
  Compare -15 and 1
  No swap needed

Pass 6:
  Compare -79 and -77
  No swap needed
  Compare -77 and -51
  No swap needed
  Compare -51 and -45
  No swap needed
  Compare -45 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -77, -51, -45, -15, 1, 35, 39, 64, 97]
</think>

<response>-79, -77, -51, -45, -15, 1, 35, 39, 64, 97</response>


input: Demonstrate how bubble sort orders the integers -39, 6, -68, -57, -1 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-39, 6, -68, -57, -1]

Pass 1:
  Compare -39 and 6
  No swap needed
  Compare 6 and -68
  Swap 6 and -68
  List after swap: [-39, -68, 6, -57, -1]
  Compare 6 and -57
  Swap 6 and -57
  List after swap: [-39, -68, -57, 6, -1]
  Compare 6 and -1
  Swap 6 and -1
  List after swap: [-39, -68, -57, -1, 6]

Pass 2:
  Compare -39 and -68
  Swap -39 and -68
  List after swap: [-68, -39, -57, -1, 6]
  Compare -39 and -57
  Swap -39 and -57
  List after swap: [-68, -57, -39, -1, 6]
  Compare -39 and -1
  No swap needed

Pass 3:
  Compare -68 and -57
  No swap needed
  Compare -57 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -57, -39, -1, 6]
</think>

<response>-68, -57, -39, -1, 6</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -45, 51.

output:
<think>
Initial list: [-45, 51]

Pass 1:
  Compare -45 and 51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-45, 51]
</think>

<response>-45, 51</response>


input: Implement bubble sort on 66, 63 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [66, 63]

Pass 1:
  Compare 66 and 63
  Swap 66 and 63
  List after swap: [63, 66]

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

Final sorted list: [63, 66]
</think>

<response>63, 66</response>


input: Implement bubble sort on -74, -98, -81, -6, 10, -46, -62 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-74, -98, -81, -6, 10, -46, -62]

Pass 1:
  Compare -74 and -98
  Swap -74 and -98
  List after swap: [-98, -74, -81, -6, 10, -46, -62]
  Compare -74 and -81
  Swap -74 and -81
  List after swap: [-98, -81, -74, -6, 10, -46, -62]
  Compare -74 and -6
  No swap needed
  Compare -6 and 10
  No swap needed
  Compare 10 and -46
  Swap 10 and -46
  List after swap: [-98, -81, -74, -6, -46, 10, -62]
  Compare 10 and -62
  Swap 10 and -62
  List after swap: [-98, -81, -74, -6, -46, -62, 10]

Pass 2:
  Compare -98 and -81
  No swap needed
  Compare -81 and -74
  No swap needed
  Compare -74 and -6
  No swap needed
  Compare -6 and -46
  Swap -6 and -46
  List after swap: [-98, -81, -74, -46, -6, -62, 10]
  Compare -6 and -62
  Swap -6 and -62
  List after swap: [-98, -81, -74, -46, -62, -6, 10]

Pass 3:
  Compare -98 and -81
  No swap needed
  Compare -81 and -74
  No swap needed
  Compare -74 and -46
  No swap needed
  Compare -46 and -62
  Swap -46 and -62
  List after swap: [-98, -81, -74, -62, -46, -6, 10]

Pass 4:
  Compare -98 and -81
  No swap needed
  Compare -81 and -74
  No swap needed
  Compare -74 and -62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -81, -74, -62, -46, -6, 10]
</think>

<response>-98, -81, -74, -62, -46, -6, 10</response>


input: Implement bubble sort on 22, -55, 83, -68, -26, 62, -70, 74 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [22, -55, 83, -68, -26, 62, -70, 74]

Pass 1:
  Compare 22 and -55
  Swap 22 and -55
  List after swap: [-55, 22, 83, -68, -26, 62, -70, 74]
  Compare 22 and 83
  No swap needed
  Compare 83 and -68
  Swap 83 and -68
  List after swap: [-55, 22, -68, 83, -26, 62, -70, 74]
  Compare 83 and -26
  Swap 83 and -26
  List after swap: [-55, 22, -68, -26, 83, 62, -70, 74]
  Compare 83 and 62
  Swap 83 and 62
  List after swap: [-55, 22, -68, -26, 62, 83, -70, 74]
  Compare 83 and -70
  Swap 83 and -70
  List after swap: [-55, 22, -68, -26, 62, -70, 83, 74]
  Compare 83 and 74
  Swap 83 and 74
  List after swap: [-55, 22, -68, -26, 62, -70, 74, 83]

Pass 2:
  Compare -55 and 22
  No swap needed
  Compare 22 and -68
  Swap 22 and -68
  List after swap: [-55, -68, 22, -26, 62, -70, 74, 83]
  Compare 22 and -26
  Swap 22 and -26
  List after swap: [-55, -68, -26, 22, 62, -70, 74, 83]
  Compare 22 and 62
  No swap needed
  Compare 62 and -70
  Swap 62 and -70
  List after swap: [-55, -68, -26, 22, -70, 62, 74, 83]
  Compare 62 and 74
  No swap needed

Pass 3:
  Compare -55 and -68
  Swap -55 and -68
  List after swap: [-68, -55, -26, 22, -70, 62, 74, 83]
  Compare -55 and -26
  No swap needed
  Compare -26 and 22
  No swap needed
  Compare 22 and -70
  Swap 22 and -70
  List after swap: [-68, -55, -26, -70, 22, 62, 74, 83]
  Compare 22 and 62
  No swap needed

Pass 4:
  Compare -68 and -55
  No swap needed
  Compare -55 and -26
  No swap needed
  Compare -26 and -70
  Swap -26 and -70
  List after swap: [-68, -55, -70, -26, 22, 62, 74, 83]
  Compare -26 and 22
  No swap needed

Pass 5:
  Compare -68 and -55
  No swap needed
  Compare -55 and -70
  Swap -55 and -70
  List after swap: [-68, -70, -55, -26, 22, 62, 74, 83]
  Compare -55 and -26
  No swap needed

Pass 6:
  Compare -68 and -70
  Swap -68 and -70
  List after swap: [-70, -68, -55, -26, 22, 62, 74, 83]
  Compare -68 and -55
  No swap needed

Pass 7:
  Compare -70 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -68, -55, -26, 22, 62, 74, 83]
</think>

<response>-70, -68, -55, -26, 22, 62, 74, 83</response>


input: Arrange the numbers -87, 66 in ascending order by applying bubble sort, and display each intermediate step.

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

Pass 1:
  Compare -87 and 66
  No swap needed
  No swaps in this pass, list is sorted.

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

<response>-87, 66</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -25, -4, -98, 31, -93.

output:
<think>
Initial list: [-25, -4, -98, 31, -93]

Pass 1:
  Compare -25 and -4
  No swap needed
  Compare -4 and -98
  Swap -4 and -98
  List after swap: [-25, -98, -4, 31, -93]
  Compare -4 and 31
  No swap needed
  Compare 31 and -93
  Swap 31 and -93
  List after swap: [-25, -98, -4, -93, 31]

Pass 2:
  Compare -25 and -98
  Swap -25 and -98
  List after swap: [-98, -25, -4, -93, 31]
  Compare -25 and -4
  No swap needed
  Compare -4 and -93
  Swap -4 and -93
  List after swap: [-98, -25, -93, -4, 31]

Pass 3:
  Compare -98 and -25
  No swap needed
  Compare -25 and -93
  Swap -25 and -93
  List after swap: [-98, -93, -25, -4, 31]

Pass 4:
  Compare -98 and -93
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -93, -25, -4, 31]
</think>

<response>-98, -93, -25, -4, 31</response>


input: Sort the list 27, -21, 66, 99, -19, -30, -83 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [27, -21, 66, 99, -19, -30, -83]

Pass 1:
  Compare 27 and -21
  Swap 27 and -21
  List after swap: [-21, 27, 66, 99, -19, -30, -83]
  Compare 27 and 66
  No swap needed
  Compare 66 and 99
  No swap needed
  Compare 99 and -19
  Swap 99 and -19
  List after swap: [-21, 27, 66, -19, 99, -30, -83]
  Compare 99 and -30
  Swap 99 and -30
  List after swap: [-21, 27, 66, -19, -30, 99, -83]
  Compare 99 and -83
  Swap 99 and -83
  List after swap: [-21, 27, 66, -19, -30, -83, 99]

Pass 2:
  Compare -21 and 27
  No swap needed
  Compare 27 and 66
  No swap needed
  Compare 66 and -19
  Swap 66 and -19
  List after swap: [-21, 27, -19, 66, -30, -83, 99]
  Compare 66 and -30
  Swap 66 and -30
  List after swap: [-21, 27, -19, -30, 66, -83, 99]
  Compare 66 and -83
  Swap 66 and -83
  List after swap: [-21, 27, -19, -30, -83, 66, 99]

Pass 3:
  Compare -21 and 27
  No swap needed
  Compare 27 and -19
  Swap 27 and -19
  List after swap: [-21, -19, 27, -30, -83, 66, 99]
  Compare 27 and -30
  Swap 27 and -30
  List after swap: [-21, -19, -30, 27, -83, 66, 99]
  Compare 27 and -83
  Swap 27 and -83
  List after swap: [-21, -19, -30, -83, 27, 66, 99]

Pass 4:
  Compare -21 and -19
  No swap needed
  Compare -19 and -30
  Swap -19 and -30
  List after swap: [-21, -30, -19, -83, 27, 66, 99]
  Compare -19 and -83
  Swap -19 and -83
  List after swap: [-21, -30, -83, -19, 27, 66, 99]

Pass 5:
  Compare -21 and -30
  Swap -21 and -30
  List after swap: [-30, -21, -83, -19, 27, 66, 99]
  Compare -21 and -83
  Swap -21 and -83
  List after swap: [-30, -83, -21, -19, 27, 66, 99]

Pass 6:
  Compare -30 and -83
  Swap -30 and -83
  List after swap: [-83, -30, -21, -19, 27, 66, 99]

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

Final sorted list: [-83, -30, -21, -19, 27, 66, 99]
</think>

<response>-83, -30, -21, -19, 27, 66, 99</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -77, -95, -64, -2, 77, -74, -44, -34, 85, 52.

output:
<think>
Initial list: [-77, -95, -64, -2, 77, -74, -44, -34, 85, 52]

Pass 1:
  Compare -77 and -95
  Swap -77 and -95
  List after swap: [-95, -77, -64, -2, 77, -74, -44, -34, 85, 52]
  Compare -77 and -64
  No swap needed
  Compare -64 and -2
  No swap needed
  Compare -2 and 77
  No swap needed
  Compare 77 and -74
  Swap 77 and -74
  List after swap: [-95, -77, -64, -2, -74, 77, -44, -34, 85, 52]
  Compare 77 and -44
  Swap 77 and -44
  List after swap: [-95, -77, -64, -2, -74, -44, 77, -34, 85, 52]
  Compare 77 and -34
  Swap 77 and -34
  List after swap: [-95, -77, -64, -2, -74, -44, -34, 77, 85, 52]
  Compare 77 and 85
  No swap needed
  Compare 85 and 52
  Swap 85 and 52
  List after swap: [-95, -77, -64, -2, -74, -44, -34, 77, 52, 85]

Pass 2:
  Compare -95 and -77
  No swap needed
  Compare -77 and -64
  No swap needed
  Compare -64 and -2
  No swap needed
  Compare -2 and -74
  Swap -2 and -74
  List after swap: [-95, -77, -64, -74, -2, -44, -34, 77, 52, 85]
  Compare -2 and -44
  Swap -2 and -44
  List after swap: [-95, -77, -64, -74, -44, -2, -34, 77, 52, 85]
  Compare -2 and -34
  Swap -2 and -34
  List after swap: [-95, -77, -64, -74, -44, -34, -2, 77, 52, 85]
  Compare -2 and 77
  No swap needed
  Compare 77 and 52
  Swap 77 and 52
  List after swap: [-95, -77, -64, -74, -44, -34, -2, 52, 77, 85]

Pass 3:
  Compare -95 and -77
  No swap needed
  Compare -77 and -64
  No swap needed
  Compare -64 and -74
  Swap -64 and -74
  List after swap: [-95, -77, -74, -64, -44, -34, -2, 52, 77, 85]
  Compare -64 and -44
  No swap needed
  Compare -44 and -34
  No swap needed
  Compare -34 and -2
  No swap needed
  Compare -2 and 52
  No swap needed

Pass 4:
  Compare -95 and -77
  No swap needed
  Compare -77 and -74
  No swap needed
  Compare -74 and -64
  No swap needed
  Compare -64 and -44
  No swap needed
  Compare -44 and -34
  No swap needed
  Compare -34 and -2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -77, -74, -64, -44, -34, -2, 52, 77, 85]
</think>

<response>-95, -77, -74, -64, -44, -34, -2, 52, 77, 85</response>


input: Implement bubble sort on -97, -84, 9, 90, -40, -26, 97, -36, -53 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-97, -84, 9, 90, -40, -26, 97, -36, -53]

Pass 1:
  Compare -97 and -84
  No swap needed
  Compare -84 and 9
  No swap needed
  Compare 9 and 90
  No swap needed
  Compare 90 and -40
  Swap 90 and -40
  List after swap: [-97, -84, 9, -40, 90, -26, 97, -36, -53]
  Compare 90 and -26
  Swap 90 and -26
  List after swap: [-97, -84, 9, -40, -26, 90, 97, -36, -53]
  Compare 90 and 97
  No swap needed
  Compare 97 and -36
  Swap 97 and -36
  List after swap: [-97, -84, 9, -40, -26, 90, -36, 97, -53]
  Compare 97 and -53
  Swap 97 and -53
  List after swap: [-97, -84, 9, -40, -26, 90, -36, -53, 97]

Pass 2:
  Compare -97 and -84
  No swap needed
  Compare -84 and 9
  No swap needed
  Compare 9 and -40
  Swap 9 and -40
  List after swap: [-97, -84, -40, 9, -26, 90, -36, -53, 97]
  Compare 9 and -26
  Swap 9 and -26
  List after swap: [-97, -84, -40, -26, 9, 90, -36, -53, 97]
  Compare 9 and 90
  No swap needed
  Compare 90 and -36
  Swap 90 and -36
  List after swap: [-97, -84, -40, -26, 9, -36, 90, -53, 97]
  Compare 90 and -53
  Swap 90 and -53
  List after swap: [-97, -84, -40, -26, 9, -36, -53, 90, 97]

Pass 3:
  Compare -97 and -84
  No swap needed
  Compare -84 and -40
  No swap needed
  Compare -40 and -26
  No swap needed
  Compare -26 and 9
  No swap needed
  Compare 9 and -36
  Swap 9 and -36
  List after swap: [-97, -84, -40, -26, -36, 9, -53, 90, 97]
  Compare 9 and -53
  Swap 9 and -53
  List after swap: [-97, -84, -40, -26, -36, -53, 9, 90, 97]

Pass 4:
  Compare -97 and -84
  No swap needed
  Compare -84 and -40
  No swap needed
  Compare -40 and -26
  No swap needed
  Compare -26 and -36
  Swap -26 and -36
  List after swap: [-97, -84, -40, -36, -26, -53, 9, 90, 97]
  Compare -26 and -53
  Swap -26 and -53
  List after swap: [-97, -84, -40, -36, -53, -26, 9, 90, 97]

Pass 5:
  Compare -97 and -84
  No swap needed
  Compare -84 and -40
  No swap needed
  Compare -40 and -36
  No swap needed
  Compare -36 and -53
  Swap -36 and -53
  List after swap: [-97, -84, -40, -53, -36, -26, 9, 90, 97]

Pass 6:
  Compare -97 and -84
  No swap needed
  Compare -84 and -40
  No swap needed
  Compare -40 and -53
  Swap -40 and -53
  List after swap: [-97, -84, -53, -40, -36, -26, 9, 90, 97]

Pass 7:
  Compare -97 and -84
  No swap needed
  Compare -84 and -53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -84, -53, -40, -36, -26, 9, 90, 97]
</think>

<response>-97, -84, -53, -40, -36, -26, 9, 90, 97</response>


input: Using the bubble sort method, sort 90, -87, 53, 18, 64, 38, 73, 13, 36, 55 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [90, -87, 53, 18, 64, 38, 73, 13, 36, 55]

Pass 1:
  Compare 90 and -87
  Swap 90 and -87
  List after swap: [-87, 90, 53, 18, 64, 38, 73, 13, 36, 55]
  Compare 90 and 53
  Swap 90 and 53
  List after swap: [-87, 53, 90, 18, 64, 38, 73, 13, 36, 55]
  Compare 90 and 18
  Swap 90 and 18
  List after swap: [-87, 53, 18, 90, 64, 38, 73, 13, 36, 55]
  Compare 90 and 64
  Swap 90 and 64
  List after swap: [-87, 53, 18, 64, 90, 38, 73, 13, 36, 55]
  Compare 90 and 38
  Swap 90 and 38
  List after swap: [-87, 53, 18, 64, 38, 90, 73, 13, 36, 55]
  Compare 90 and 73
  Swap 90 and 73
  List after swap: [-87, 53, 18, 64, 38, 73, 90, 13, 36, 55]
  Compare 90 and 13
  Swap 90 and 13
  List after swap: [-87, 53, 18, 64, 38, 73, 13, 90, 36, 55]
  Compare 90 and 36
  Swap 90 and 36
  List after swap: [-87, 53, 18, 64, 38, 73, 13, 36, 90, 55]
  Compare 90 and 55
  Swap 90 and 55
  List after swap: [-87, 53, 18, 64, 38, 73, 13, 36, 55, 90]

Pass 2:
  Compare -87 and 53
  No swap needed
  Compare 53 and 18
  Swap 53 and 18
  List after swap: [-87, 18, 53, 64, 38, 73, 13, 36, 55, 90]
  Compare 53 and 64
  No swap needed
  Compare 64 and 38
  Swap 64 and 38
  List after swap: [-87, 18, 53, 38, 64, 73, 13, 36, 55, 90]
  Compare 64 and 73
  No swap needed
  Compare 73 and 13
  Swap 73 and 13
  List after swap: [-87, 18, 53, 38, 64, 13, 73, 36, 55, 90]
  Compare 73 and 36
  Swap 73 and 36
  List after swap: [-87, 18, 53, 38, 64, 13, 36, 73, 55, 90]
  Compare 73 and 55
  Swap 73 and 55
  List after swap: [-87, 18, 53, 38, 64, 13, 36, 55, 73, 90]

Pass 3:
  Compare -87 and 18
  No swap needed
  Compare 18 and 53
  No swap needed
  Compare 53 and 38
  Swap 53 and 38
  List after swap: [-87, 18, 38, 53, 64, 13, 36, 55, 73, 90]
  Compare 53 and 64
  No swap needed
  Compare 64 and 13
  Swap 64 and 13
  List after swap: [-87, 18, 38, 53, 13, 64, 36, 55, 73, 90]
  Compare 64 and 36
  Swap 64 and 36
  List after swap: [-87, 18, 38, 53, 13, 36, 64, 55, 73, 90]
  Compare 64 and 55
  Swap 64 and 55
  List after swap: [-87, 18, 38, 53, 13, 36, 55, 64, 73, 90]

Pass 4:
  Compare -87 and 18
  No swap needed
  Compare 18 and 38
  No swap needed
  Compare 38 and 53
  No swap needed
  Compare 53 and 13
  Swap 53 and 13
  List after swap: [-87, 18, 38, 13, 53, 36, 55, 64, 73, 90]
  Compare 53 and 36
  Swap 53 and 36
  List after swap: [-87, 18, 38, 13, 36, 53, 55, 64, 73, 90]
  Compare 53 and 55
  No swap needed

Pass 5:
  Compare -87 and 18
  No swap needed
  Compare 18 and 38
  No swap needed
  Compare 38 and 13
  Swap 38 and 13
  List after swap: [-87, 18, 13, 38, 36, 53, 55, 64, 73, 90]
  Compare 38 and 36
  Swap 38 and 36
  List after swap: [-87, 18, 13, 36, 38, 53, 55, 64, 73, 90]
  Compare 38 and 53
  No swap needed

Pass 6:
  Compare -87 and 18
  No swap needed
  Compare 18 and 13
  Swap 18 and 13
  List after swap: [-87, 13, 18, 36, 38, 53, 55, 64, 73, 90]
  Compare 18 and 36
  No swap needed
  Compare 36 and 38
  No swap needed

Pass 7:
  Compare -87 and 13
  No swap needed
  Compare 13 and 18
  No swap needed
  Compare 18 and 36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, 13, 18, 36, 38, 53, 55, 64, 73, 90]
</think>

<response>-87, 13, 18, 36, 38, 53, 55, 64, 73, 90</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -3, 19, -20, -83.

output:
<think>
Initial list: [-3, 19, -20, -83]

Pass 1:
  Compare -3 and 19
  No swap needed
  Compare 19 and -20
  Swap 19 and -20
  List after swap: [-3, -20, 19, -83]
  Compare 19 and -83
  Swap 19 and -83
  List after swap: [-3, -20, -83, 19]

Pass 2:
  Compare -3 and -20
  Swap -3 and -20
  List after swap: [-20, -3, -83, 19]
  Compare -3 and -83
  Swap -3 and -83
  List after swap: [-20, -83, -3, 19]

Pass 3:
  Compare -20 and -83
  Swap -20 and -83
  List after swap: [-83, -20, -3, 19]

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

Final sorted list: [-83, -20, -3, 19]
</think>

<response>-83, -20, -3, 19</response>


input: Perform a bubble sort on the integers -7, -67, -72, -5, 63, -83, -98, -29, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-7, -67, -72, -5, 63, -83, -98, -29]

Pass 1:
  Compare -7 and -67
  Swap -7 and -67
  List after swap: [-67, -7, -72, -5, 63, -83, -98, -29]
  Compare -7 and -72
  Swap -7 and -72
  List after swap: [-67, -72, -7, -5, 63, -83, -98, -29]
  Compare -7 and -5
  No swap needed
  Compare -5 and 63
  No swap needed
  Compare 63 and -83
  Swap 63 and -83
  List after swap: [-67, -72, -7, -5, -83, 63, -98, -29]
  Compare 63 and -98
  Swap 63 and -98
  List after swap: [-67, -72, -7, -5, -83, -98, 63, -29]
  Compare 63 and -29
  Swap 63 and -29
  List after swap: [-67, -72, -7, -5, -83, -98, -29, 63]

Pass 2:
  Compare -67 and -72
  Swap -67 and -72
  List after swap: [-72, -67, -7, -5, -83, -98, -29, 63]
  Compare -67 and -7
  No swap needed
  Compare -7 and -5
  No swap needed
  Compare -5 and -83
  Swap -5 and -83
  List after swap: [-72, -67, -7, -83, -5, -98, -29, 63]
  Compare -5 and -98
  Swap -5 and -98
  List after swap: [-72, -67, -7, -83, -98, -5, -29, 63]
  Compare -5 and -29
  Swap -5 and -29
  List after swap: [-72, -67, -7, -83, -98, -29, -5, 63]

Pass 3:
  Compare -72 and -67
  No swap needed
  Compare -67 and -7
  No swap needed
  Compare -7 and -83
  Swap -7 and -83
  List after swap: [-72, -67, -83, -7, -98, -29, -5, 63]
  Compare -7 and -98
  Swap -7 and -98
  List after swap: [-72, -67, -83, -98, -7, -29, -5, 63]
  Compare -7 and -29
  Swap -7 and -29
  List after swap: [-72, -67, -83, -98, -29, -7, -5, 63]

Pass 4:
  Compare -72 and -67
  No swap needed
  Compare -67 and -83
  Swap -67 and -83
  List after swap: [-72, -83, -67, -98, -29, -7, -5, 63]
  Compare -67 and -98
  Swap -67 and -98
  List after swap: [-72, -83, -98, -67, -29, -7, -5, 63]
  Compare -67 and -29
  No swap needed

Pass 5:
  Compare -72 and -83
  Swap -72 and -83
  List after swap: [-83, -72, -98, -67, -29, -7, -5, 63]
  Compare -72 and -98
  Swap -72 and -98
  List after swap: [-83, -98, -72, -67, -29, -7, -5, 63]
  Compare -72 and -67
  No swap needed

Pass 6:
  Compare -83 and -98
  Swap -83 and -98
  List after swap: [-98, -83, -72, -67, -29, -7, -5, 63]
  Compare -83 and -72
  No swap needed

Pass 7:
  Compare -98 and -83
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -83, -72, -67, -29, -7, -5, 63]
</think>

<response>-98, -83, -72, -67, -29, -7, -5, 63</response>


input: Execute bubble sort to sort 97, 3, 52, -31, -63, 66, -95, 96, 47 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [97, 3, 52, -31, -63, 66, -95, 96, 47]

Pass 1:
  Compare 97 and 3
  Swap 97 and 3
  List after swap: [3, 97, 52, -31, -63, 66, -95, 96, 47]
  Compare 97 and 52
  Swap 97 and 52
  List after swap: [3, 52, 97, -31, -63, 66, -95, 96, 47]
  Compare 97 and -31
  Swap 97 and -31
  List after swap: [3, 52, -31, 97, -63, 66, -95, 96, 47]
  Compare 97 and -63
  Swap 97 and -63
  List after swap: [3, 52, -31, -63, 97, 66, -95, 96, 47]
  Compare 97 and 66
  Swap 97 and 66
  List after swap: [3, 52, -31, -63, 66, 97, -95, 96, 47]
  Compare 97 and -95
  Swap 97 and -95
  List after swap: [3, 52, -31, -63, 66, -95, 97, 96, 47]
  Compare 97 and 96
  Swap 97 and 96
  List after swap: [3, 52, -31, -63, 66, -95, 96, 97, 47]
  Compare 97 and 47
  Swap 97 and 47
  List after swap: [3, 52, -31, -63, 66, -95, 96, 47, 97]

Pass 2:
  Compare 3 and 52
  No swap needed
  Compare 52 and -31
  Swap 52 and -31
  List after swap: [3, -31, 52, -63, 66, -95, 96, 47, 97]
  Compare 52 and -63
  Swap 52 and -63
  List after swap: [3, -31, -63, 52, 66, -95, 96, 47, 97]
  Compare 52 and 66
  No swap needed
  Compare 66 and -95
  Swap 66 and -95
  List after swap: [3, -31, -63, 52, -95, 66, 96, 47, 97]
  Compare 66 and 96
  No swap needed
  Compare 96 and 47
  Swap 96 and 47
  List after swap: [3, -31, -63, 52, -95, 66, 47, 96, 97]

Pass 3:
  Compare 3 and -31
  Swap 3 and -31
  List after swap: [-31, 3, -63, 52, -95, 66, 47, 96, 97]
  Compare 3 and -63
  Swap 3 and -63
  List after swap: [-31, -63, 3, 52, -95, 66, 47, 96, 97]
  Compare 3 and 52
  No swap needed
  Compare 52 and -95
  Swap 52 and -95
  List after swap: [-31, -63, 3, -95, 52, 66, 47, 96, 97]
  Compare 52 and 66
  No swap needed
  Compare 66 and 47
  Swap 66 and 47
  List after swap: [-31, -63, 3, -95, 52, 47, 66, 96, 97]

Pass 4:
  Compare -31 and -63
  Swap -31 and -63
  List after swap: [-63, -31, 3, -95, 52, 47, 66, 96, 97]
  Compare -31 and 3
  No swap needed
  Compare 3 and -95
  Swap 3 and -95
  List after swap: [-63, -31, -95, 3, 52, 47, 66, 96, 97]
  Compare 3 and 52
  No swap needed
  Compare 52 and 47
  Swap 52 and 47
  List after swap: [-63, -31, -95, 3, 47, 52, 66, 96, 97]

Pass 5:
  Compare -63 and -31
  No swap needed
  Compare -31 and -95
  Swap -31 and -95
  List after swap: [-63, -95, -31, 3, 47, 52, 66, 96, 97]
  Compare -31 and 3
  No swap needed
  Compare 3 and 47
  No swap needed

Pass 6:
  Compare -63 and -95
  Swap -63 and -95
  List after swap: [-95, -63, -31, 3, 47, 52, 66, 96, 97]
  Compare -63 and -31
  No swap needed
  Compare -31 and 3
  No swap needed

Pass 7:
  Compare -95 and -63
  No swap needed
  Compare -63 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -63, -31, 3, 47, 52, 66, 96, 97]
</think>

<response>-95, -63, -31, 3, 47, 52, 66, 96, 97</response>


input: Sort the list -98, 79, -24, -2, 63, -81, -40 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-98, 79, -24, -2, 63, -81, -40]

Pass 1:
  Compare -98 and 79
  No swap needed
  Compare 79 and -24
  Swap 79 and -24
  List after swap: [-98, -24, 79, -2, 63, -81, -40]
  Compare 79 and -2
  Swap 79 and -2
  List after swap: [-98, -24, -2, 79, 63, -81, -40]
  Compare 79 and 63
  Swap 79 and 63
  List after swap: [-98, -24, -2, 63, 79, -81, -40]
  Compare 79 and -81
  Swap 79 and -81
  List after swap: [-98, -24, -2, 63, -81, 79, -40]
  Compare 79 and -40
  Swap 79 and -40
  List after swap: [-98, -24, -2, 63, -81, -40, 79]

Pass 2:
  Compare -98 and -24
  No swap needed
  Compare -24 and -2
  No swap needed
  Compare -2 and 63
  No swap needed
  Compare 63 and -81
  Swap 63 and -81
  List after swap: [-98, -24, -2, -81, 63, -40, 79]
  Compare 63 and -40
  Swap 63 and -40
  List after swap: [-98, -24, -2, -81, -40, 63, 79]

Pass 3:
  Compare -98 and -24
  No swap needed
  Compare -24 and -2
  No swap needed
  Compare -2 and -81
  Swap -2 and -81
  List after swap: [-98, -24, -81, -2, -40, 63, 79]
  Compare -2 and -40
  Swap -2 and -40
  List after swap: [-98, -24, -81, -40, -2, 63, 79]

Pass 4:
  Compare -98 and -24
  No swap needed
  Compare -24 and -81
  Swap -24 and -81
  List after swap: [-98, -81, -24, -40, -2, 63, 79]
  Compare -24 and -40
  Swap -24 and -40
  List after swap: [-98, -81, -40, -24, -2, 63, 79]

Pass 5:
  Compare -98 and -81
  No swap needed
  Compare -81 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -81, -40, -24, -2, 63, 79]
</think>

<response>-98, -81, -40, -24, -2, 63, 79</response>


input: Perform a bubble sort on the integers 73, 93, -5, 37, -53, 59, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [73, 93, -5, 37, -53, 59]

Pass 1:
  Compare 73 and 93
  No swap needed
  Compare 93 and -5
  Swap 93 and -5
  List after swap: [73, -5, 93, 37, -53, 59]
  Compare 93 and 37
  Swap 93 and 37
  List after swap: [73, -5, 37, 93, -53, 59]
  Compare 93 and -53
  Swap 93 and -53
  List after swap: [73, -5, 37, -53, 93, 59]
  Compare 93 and 59
  Swap 93 and 59
  List after swap: [73, -5, 37, -53, 59, 93]

Pass 2:
  Compare 73 and -5
  Swap 73 and -5
  List after swap: [-5, 73, 37, -53, 59, 93]
  Compare 73 and 37
  Swap 73 and 37
  List after swap: [-5, 37, 73, -53, 59, 93]
  Compare 73 and -53
  Swap 73 and -53
  List after swap: [-5, 37, -53, 73, 59, 93]
  Compare 73 and 59
  Swap 73 and 59
  List after swap: [-5, 37, -53, 59, 73, 93]

Pass 3:
  Compare -5 and 37
  No swap needed
  Compare 37 and -53
  Swap 37 and -53
  List after swap: [-5, -53, 37, 59, 73, 93]
  Compare 37 and 59
  No swap needed

Pass 4:
  Compare -5 and -53
  Swap -5 and -53
  List after swap: [-53, -5, 37, 59, 73, 93]
  Compare -5 and 37
  No swap needed

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

Final sorted list: [-53, -5, 37, 59, 73, 93]
</think>

<response>-53, -5, 37, 59, 73, 93</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 3, 85, -36, 23, 92, 99, 26, 49.

output:
<think>
Initial list: [3, 85, -36, 23, 92, 99, 26, 49]

Pass 1:
  Compare 3 and 85
  No swap needed
  Compare 85 and -36
  Swap 85 and -36
  List after swap: [3, -36, 85, 23, 92, 99, 26, 49]
  Compare 85 and 23
  Swap 85 and 23
  List after swap: [3, -36, 23, 85, 92, 99, 26, 49]
  Compare 85 and 92
  No swap needed
  Compare 92 and 99
  No swap needed
  Compare 99 and 26
  Swap 99 and 26
  List after swap: [3, -36, 23, 85, 92, 26, 99, 49]
  Compare 99 and 49
  Swap 99 and 49
  List after swap: [3, -36, 23, 85, 92, 26, 49, 99]

Pass 2:
  Compare 3 and -36
  Swap 3 and -36
  List after swap: [-36, 3, 23, 85, 92, 26, 49, 99]
  Compare 3 and 23
  No swap needed
  Compare 23 and 85
  No swap needed
  Compare 85 and 92
  No swap needed
  Compare 92 and 26
  Swap 92 and 26
  List after swap: [-36, 3, 23, 85, 26, 92, 49, 99]
  Compare 92 and 49
  Swap 92 and 49
  List after swap: [-36, 3, 23, 85, 26, 49, 92, 99]

Pass 3:
  Compare -36 and 3
  No swap needed
  Compare 3 and 23
  No swap needed
  Compare 23 and 85
  No swap needed
  Compare 85 and 26
  Swap 85 and 26
  List after swap: [-36, 3, 23, 26, 85, 49, 92, 99]
  Compare 85 and 49
  Swap 85 and 49
  List after swap: [-36, 3, 23, 26, 49, 85, 92, 99]

Pass 4:
  Compare -36 and 3
  No swap needed
  Compare 3 and 23
  No swap needed
  Compare 23 and 26
  No swap needed
  Compare 26 and 49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-36, 3, 23, 26, 49, 85, 92, 99]
</think>

<response>-36, 3, 23, 26, 49, 85, 92, 99</response>


input: Execute bubble sort to sort -53, -95, 4, 80, 18 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-53, -95, 4, 80, 18]

Pass 1:
  Compare -53 and -95
  Swap -53 and -95
  List after swap: [-95, -53, 4, 80, 18]
  Compare -53 and 4
  No swap needed
  Compare 4 and 80
  No swap needed
  Compare 80 and 18
  Swap 80 and 18
  List after swap: [-95, -53, 4, 18, 80]

Pass 2:
  Compare -95 and -53
  No swap needed
  Compare -53 and 4
  No swap needed
  Compare 4 and 18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -53, 4, 18, 80]
</think>

<response>-95, -53, 4, 18, 80</response>


input: Perform a bubble sort on the integers -21, -86, 0, 56, 20, -23, 60, 9, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-21, -86, 0, 56, 20, -23, 60, 9]

Pass 1:
  Compare -21 and -86
  Swap -21 and -86
  List after swap: [-86, -21, 0, 56, 20, -23, 60, 9]
  Compare -21 and 0
  No swap needed
  Compare 0 and 56
  No swap needed
  Compare 56 and 20
  Swap 56 and 20
  List after swap: [-86, -21, 0, 20, 56, -23, 60, 9]
  Compare 56 and -23
  Swap 56 and -23
  List after swap: [-86, -21, 0, 20, -23, 56, 60, 9]
  Compare 56 and 60
  No swap needed
  Compare 60 and 9
  Swap 60 and 9
  List after swap: [-86, -21, 0, 20, -23, 56, 9, 60]

Pass 2:
  Compare -86 and -21
  No swap needed
  Compare -21 and 0
  No swap needed
  Compare 0 and 20
  No swap needed
  Compare 20 and -23
  Swap 20 and -23
  List after swap: [-86, -21, 0, -23, 20, 56, 9, 60]
  Compare 20 and 56
  No swap needed
  Compare 56 and 9
  Swap 56 and 9
  List after swap: [-86, -21, 0, -23, 20, 9, 56, 60]

Pass 3:
  Compare -86 and -21
  No swap needed
  Compare -21 and 0
  No swap needed
  Compare 0 and -23
  Swap 0 and -23
  List after swap: [-86, -21, -23, 0, 20, 9, 56, 60]
  Compare 0 and 20
  No swap needed
  Compare 20 and 9
  Swap 20 and 9
  List after swap: [-86, -21, -23, 0, 9, 20, 56, 60]

Pass 4:
  Compare -86 and -21
  No swap needed
  Compare -21 and -23
  Swap -21 and -23
  List after swap: [-86, -23, -21, 0, 9, 20, 56, 60]
  Compare -21 and 0
  No swap needed
  Compare 0 and 9
  No swap needed

Pass 5:
  Compare -86 and -23
  No swap needed
  Compare -23 and -21
  No swap needed
  Compare -21 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -23, -21, 0, 9, 20, 56, 60]
</think>

<response>-86, -23, -21, 0, 9, 20, 56, 60</response>


input: Sort the list 45, -39, -47, -76, -64, 97, 83, 75 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [45, -39, -47, -76, -64, 97, 83, 75]

Pass 1:
  Compare 45 and -39
  Swap 45 and -39
  List after swap: [-39, 45, -47, -76, -64, 97, 83, 75]
  Compare 45 and -47
  Swap 45 and -47
  List after swap: [-39, -47, 45, -76, -64, 97, 83, 75]
  Compare 45 and -76
  Swap 45 and -76
  List after swap: [-39, -47, -76, 45, -64, 97, 83, 75]
  Compare 45 and -64
  Swap 45 and -64
  List after swap: [-39, -47, -76, -64, 45, 97, 83, 75]
  Compare 45 and 97
  No swap needed
  Compare 97 and 83
  Swap 97 and 83
  List after swap: [-39, -47, -76, -64, 45, 83, 97, 75]
  Compare 97 and 75
  Swap 97 and 75
  List after swap: [-39, -47, -76, -64, 45, 83, 75, 97]

Pass 2:
  Compare -39 and -47
  Swap -39 and -47
  List after swap: [-47, -39, -76, -64, 45, 83, 75, 97]
  Compare -39 and -76
  Swap -39 and -76
  List after swap: [-47, -76, -39, -64, 45, 83, 75, 97]
  Compare -39 and -64
  Swap -39 and -64
  List after swap: [-47, -76, -64, -39, 45, 83, 75, 97]
  Compare -39 and 45
  No swap needed
  Compare 45 and 83
  No swap needed
  Compare 83 and 75
  Swap 83 and 75
  List after swap: [-47, -76, -64, -39, 45, 75, 83, 97]

Pass 3:
  Compare -47 and -76
  Swap -47 and -76
  List after swap: [-76, -47, -64, -39, 45, 75, 83, 97]
  Compare -47 and -64
  Swap -47 and -64
  List after swap: [-76, -64, -47, -39, 45, 75, 83, 97]
  Compare -47 and -39
  No swap needed
  Compare -39 and 45
  No swap needed
  Compare 45 and 75
  No swap needed

Pass 4:
  Compare -76 and -64
  No swap needed
  Compare -64 and -47
  No swap needed
  Compare -47 and -39
  No swap needed
  Compare -39 and 45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -64, -47, -39, 45, 75, 83, 97]
</think>

<response>-76, -64, -47, -39, 45, 75, 83, 97</response>


input: Using the bubble sort method, sort -77, 21, -76, 23, 5, 43, -48, 57, -5, -55 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-77, 21, -76, 23, 5, 43, -48, 57, -5, -55]

Pass 1:
  Compare -77 and 21
  No swap needed
  Compare 21 and -76
  Swap 21 and -76
  List after swap: [-77, -76, 21, 23, 5, 43, -48, 57, -5, -55]
  Compare 21 and 23
  No swap needed
  Compare 23 and 5
  Swap 23 and 5
  List after swap: [-77, -76, 21, 5, 23, 43, -48, 57, -5, -55]
  Compare 23 and 43
  No swap needed
  Compare 43 and -48
  Swap 43 and -48
  List after swap: [-77, -76, 21, 5, 23, -48, 43, 57, -5, -55]
  Compare 43 and 57
  No swap needed
  Compare 57 and -5
  Swap 57 and -5
  List after swap: [-77, -76, 21, 5, 23, -48, 43, -5, 57, -55]
  Compare 57 and -55
  Swap 57 and -55
  List after swap: [-77, -76, 21, 5, 23, -48, 43, -5, -55, 57]

Pass 2:
  Compare -77 and -76
  No swap needed
  Compare -76 and 21
  No swap needed
  Compare 21 and 5
  Swap 21 and 5
  List after swap: [-77, -76, 5, 21, 23, -48, 43, -5, -55, 57]
  Compare 21 and 23
  No swap needed
  Compare 23 and -48
  Swap 23 and -48
  List after swap: [-77, -76, 5, 21, -48, 23, 43, -5, -55, 57]
  Compare 23 and 43
  No swap needed
  Compare 43 and -5
  Swap 43 and -5
  List after swap: [-77, -76, 5, 21, -48, 23, -5, 43, -55, 57]
  Compare 43 and -55
  Swap 43 and -55
  List after swap: [-77, -76, 5, 21, -48, 23, -5, -55, 43, 57]

Pass 3:
  Compare -77 and -76
  No swap needed
  Compare -76 and 5
  No swap needed
  Compare 5 and 21
  No swap needed
  Compare 21 and -48
  Swap 21 and -48
  List after swap: [-77, -76, 5, -48, 21, 23, -5, -55, 43, 57]
  Compare 21 and 23
  No swap needed
  Compare 23 and -5
  Swap 23 and -5
  List after swap: [-77, -76, 5, -48, 21, -5, 23, -55, 43, 57]
  Compare 23 and -55
  Swap 23 and -55
  List after swap: [-77, -76, 5, -48, 21, -5, -55, 23, 43, 57]

Pass 4:
  Compare -77 and -76
  No swap needed
  Compare -76 and 5
  No swap needed
  Compare 5 and -48
  Swap 5 and -48
  List after swap: [-77, -76, -48, 5, 21, -5, -55, 23, 43, 57]
  Compare 5 and 21
  No swap needed
  Compare 21 and -5
  Swap 21 and -5
  List after swap: [-77, -76, -48, 5, -5, 21, -55, 23, 43, 57]
  Compare 21 and -55
  Swap 21 and -55
  List after swap: [-77, -76, -48, 5, -5, -55, 21, 23, 43, 57]

Pass 5:
  Compare -77 and -76
  No swap needed
  Compare -76 and -48
  No swap needed
  Compare -48 and 5
  No swap needed
  Compare 5 and -5
  Swap 5 and -5
  List after swap: [-77, -76, -48, -5, 5, -55, 21, 23, 43, 57]
  Compare 5 and -55
  Swap 5 and -55
  List after swap: [-77, -76, -48, -5, -55, 5, 21, 23, 43, 57]

Pass 6:
  Compare -77 and -76
  No swap needed
  Compare -76 and -48
  No swap needed
  Compare -48 and -5
  No swap needed
  Compare -5 and -55
  Swap -5 and -55
  List after swap: [-77, -76, -48, -55, -5, 5, 21, 23, 43, 57]

Pass 7:
  Compare -77 and -76
  No swap needed
  Compare -76 and -48
  No swap needed
  Compare -48 and -55
  Swap -48 and -55
  List after swap: [-77, -76, -55, -48, -5, 5, 21, 23, 43, 57]

Pass 8:
  Compare -77 and -76
  No swap needed
  Compare -76 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -76, -55, -48, -5, 5, 21, 23, 43, 57]
</think>

<response>-77, -76, -55, -48, -5, 5, 21, 23, 43, 57</response>


input: Carry out the bubble sort algorithm on 93, 66, 26, 65, -75, -58 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [93, 66, 26, 65, -75, -58]

Pass 1:
  Compare 93 and 66
  Swap 93 and 66
  List after swap: [66, 93, 26, 65, -75, -58]
  Compare 93 and 26
  Swap 93 and 26
  List after swap: [66, 26, 93, 65, -75, -58]
  Compare 93 and 65
  Swap 93 and 65
  List after swap: [66, 26, 65, 93, -75, -58]
  Compare 93 and -75
  Swap 93 and -75
  List after swap: [66, 26, 65, -75, 93, -58]
  Compare 93 and -58
  Swap 93 and -58
  List after swap: [66, 26, 65, -75, -58, 93]

Pass 2:
  Compare 66 and 26
  Swap 66 and 26
  List after swap: [26, 66, 65, -75, -58, 93]
  Compare 66 and 65
  Swap 66 and 65
  List after swap: [26, 65, 66, -75, -58, 93]
  Compare 66 and -75
  Swap 66 and -75
  List after swap: [26, 65, -75, 66, -58, 93]
  Compare 66 and -58
  Swap 66 and -58
  List after swap: [26, 65, -75, -58, 66, 93]

Pass 3:
  Compare 26 and 65
  No swap needed
  Compare 65 and -75
  Swap 65 and -75
  List after swap: [26, -75, 65, -58, 66, 93]
  Compare 65 and -58
  Swap 65 and -58
  List after swap: [26, -75, -58, 65, 66, 93]

Pass 4:
  Compare 26 and -75
  Swap 26 and -75
  List after swap: [-75, 26, -58, 65, 66, 93]
  Compare 26 and -58
  Swap 26 and -58
  List after swap: [-75, -58, 26, 65, 66, 93]

Pass 5:
  Compare -75 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -58, 26, 65, 66, 93]
</think>

<response>-75, -58, 26, 65, 66, 93</response>


input: Implement bubble sort on -74, 61, 51, -10, -26, 29, 36 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-74, 61, 51, -10, -26, 29, 36]

Pass 1:
  Compare -74 and 61
  No swap needed
  Compare 61 and 51
  Swap 61 and 51
  List after swap: [-74, 51, 61, -10, -26, 29, 36]
  Compare 61 and -10
  Swap 61 and -10
  List after swap: [-74, 51, -10, 61, -26, 29, 36]
  Compare 61 and -26
  Swap 61 and -26
  List after swap: [-74, 51, -10, -26, 61, 29, 36]
  Compare 61 and 29
  Swap 61 and 29
  List after swap: [-74, 51, -10, -26, 29, 61, 36]
  Compare 61 and 36
  Swap 61 and 36
  List after swap: [-74, 51, -10, -26, 29, 36, 61]

Pass 2:
  Compare -74 and 51
  No swap needed
  Compare 51 and -10
  Swap 51 and -10
  List after swap: [-74, -10, 51, -26, 29, 36, 61]
  Compare 51 and -26
  Swap 51 and -26
  List after swap: [-74, -10, -26, 51, 29, 36, 61]
  Compare 51 and 29
  Swap 51 and 29
  List after swap: [-74, -10, -26, 29, 51, 36, 61]
  Compare 51 and 36
  Swap 51 and 36
  List after swap: [-74, -10, -26, 29, 36, 51, 61]

Pass 3:
  Compare -74 and -10
  No swap needed
  Compare -10 and -26
  Swap -10 and -26
  List after swap: [-74, -26, -10, 29, 36, 51, 61]
  Compare -10 and 29
  No swap needed
  Compare 29 and 36
  No swap needed

Pass 4:
  Compare -74 and -26
  No swap needed
  Compare -26 and -10
  No swap needed
  Compare -10 and 29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -26, -10, 29, 36, 51, 61]
</think>

<response>-74, -26, -10, 29, 36, 51, 61</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 74, 60, 95, -92, -26.

output:
<think>
Initial list: [74, 60, 95, -92, -26]

Pass 1:
  Compare 74 and 60
  Swap 74 and 60
  List after swap: [60, 74, 95, -92, -26]
  Compare 74 and 95
  No swap needed
  Compare 95 and -92
  Swap 95 and -92
  List after swap: [60, 74, -92, 95, -26]
  Compare 95 and -26
  Swap 95 and -26
  List after swap: [60, 74, -92, -26, 95]

Pass 2:
  Compare 60 and 74
  No swap needed
  Compare 74 and -92
  Swap 74 and -92
  List after swap: [60, -92, 74, -26, 95]
  Compare 74 and -26
  Swap 74 and -26
  List after swap: [60, -92, -26, 74, 95]

Pass 3:
  Compare 60 and -92
  Swap 60 and -92
  List after swap: [-92, 60, -26, 74, 95]
  Compare 60 and -26
  Swap 60 and -26
  List after swap: [-92, -26, 60, 74, 95]

Pass 4:
  Compare -92 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -26, 60, 74, 95]
</think>

<response>-92, -26, 60, 74, 95</response>


input: Implement bubble sort on 72, -74, 6, 79, -13 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [72, -74, 6, 79, -13]

Pass 1:
  Compare 72 and -74
  Swap 72 and -74
  List after swap: [-74, 72, 6, 79, -13]
  Compare 72 and 6
  Swap 72 and 6
  List after swap: [-74, 6, 72, 79, -13]
  Compare 72 and 79
  No swap needed
  Compare 79 and -13
  Swap 79 and -13
  List after swap: [-74, 6, 72, -13, 79]

Pass 2:
  Compare -74 and 6
  No swap needed
  Compare 6 and 72
  No swap needed
  Compare 72 and -13
  Swap 72 and -13
  List after swap: [-74, 6, -13, 72, 79]

Pass 3:
  Compare -74 and 6
  No swap needed
  Compare 6 and -13
  Swap 6 and -13
  List after swap: [-74, -13, 6, 72, 79]

Pass 4:
  Compare -74 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -13, 6, 72, 79]
</think>

<response>-74, -13, 6, 72, 79</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -56, 59.

output:
<think>
Initial list: [-56, 59]

Pass 1:
  Compare -56 and 59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, 59]
</think>

<response>-56, 59</response>


input: Execute bubble sort to sort 89, -96, 75, 68, -76, 98, -77, -67, 44, 65 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [89, -96, 75, 68, -76, 98, -77, -67, 44, 65]

Pass 1:
  Compare 89 and -96
  Swap 89 and -96
  List after swap: [-96, 89, 75, 68, -76, 98, -77, -67, 44, 65]
  Compare 89 and 75
  Swap 89 and 75
  List after swap: [-96, 75, 89, 68, -76, 98, -77, -67, 44, 65]
  Compare 89 and 68
  Swap 89 and 68
  List after swap: [-96, 75, 68, 89, -76, 98, -77, -67, 44, 65]
  Compare 89 and -76
  Swap 89 and -76
  List after swap: [-96, 75, 68, -76, 89, 98, -77, -67, 44, 65]
  Compare 89 and 98
  No swap needed
  Compare 98 and -77
  Swap 98 and -77
  List after swap: [-96, 75, 68, -76, 89, -77, 98, -67, 44, 65]
  Compare 98 and -67
  Swap 98 and -67
  List after swap: [-96, 75, 68, -76, 89, -77, -67, 98, 44, 65]
  Compare 98 and 44
  Swap 98 and 44
  List after swap: [-96, 75, 68, -76, 89, -77, -67, 44, 98, 65]
  Compare 98 and 65
  Swap 98 and 65
  List after swap: [-96, 75, 68, -76, 89, -77, -67, 44, 65, 98]

Pass 2:
  Compare -96 and 75
  No swap needed
  Compare 75 and 68
  Swap 75 and 68
  List after swap: [-96, 68, 75, -76, 89, -77, -67, 44, 65, 98]
  Compare 75 and -76
  Swap 75 and -76
  List after swap: [-96, 68, -76, 75, 89, -77, -67, 44, 65, 98]
  Compare 75 and 89
  No swap needed
  Compare 89 and -77
  Swap 89 and -77
  List after swap: [-96, 68, -76, 75, -77, 89, -67, 44, 65, 98]
  Compare 89 and -67
  Swap 89 and -67
  List after swap: [-96, 68, -76, 75, -77, -67, 89, 44, 65, 98]
  Compare 89 and 44
  Swap 89 and 44
  List after swap: [-96, 68, -76, 75, -77, -67, 44, 89, 65, 98]
  Compare 89 and 65
  Swap 89 and 65
  List after swap: [-96, 68, -76, 75, -77, -67, 44, 65, 89, 98]

Pass 3:
  Compare -96 and 68
  No swap needed
  Compare 68 and -76
  Swap 68 and -76
  List after swap: [-96, -76, 68, 75, -77, -67, 44, 65, 89, 98]
  Compare 68 and 75
  No swap needed
  Compare 75 and -77
  Swap 75 and -77
  List after swap: [-96, -76, 68, -77, 75, -67, 44, 65, 89, 98]
  Compare 75 and -67
  Swap 75 and -67
  List after swap: [-96, -76, 68, -77, -67, 75, 44, 65, 89, 98]
  Compare 75 and 44
  Swap 75 and 44
  List after swap: [-96, -76, 68, -77, -67, 44, 75, 65, 89, 98]
  Compare 75 and 65
  Swap 75 and 65
  List after swap: [-96, -76, 68, -77, -67, 44, 65, 75, 89, 98]

Pass 4:
  Compare -96 and -76
  No swap needed
  Compare -76 and 68
  No swap needed
  Compare 68 and -77
  Swap 68 and -77
  List after swap: [-96, -76, -77, 68, -67, 44, 65, 75, 89, 98]
  Compare 68 and -67
  Swap 68 and -67
  List after swap: [-96, -76, -77, -67, 68, 44, 65, 75, 89, 98]
  Compare 68 and 44
  Swap 68 and 44
  List after swap: [-96, -76, -77, -67, 44, 68, 65, 75, 89, 98]
  Compare 68 and 65
  Swap 68 and 65
  List after swap: [-96, -76, -77, -67, 44, 65, 68, 75, 89, 98]

Pass 5:
  Compare -96 and -76
  No swap needed
  Compare -76 and -77
  Swap -76 and -77
  List after swap: [-96, -77, -76, -67, 44, 65, 68, 75, 89, 98]
  Compare -76 and -67
  No swap needed
  Compare -67 and 44
  No swap needed
  Compare 44 and 65
  No swap needed

Pass 6:
  Compare -96 and -77
  No swap needed
  Compare -77 and -76
  No swap needed
  Compare -76 and -67
  No swap needed
  Compare -67 and 44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -77, -76, -67, 44, 65, 68, 75, 89, 98]
</think>

<response>-96, -77, -76, -67, 44, 65, 68, 75, 89, 98</response>


input: Using the bubble sort method, sort -92, -11, 5 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-92, -11, 5]

Pass 1:
  Compare -92 and -11
  No swap needed
  Compare -11 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -11, 5]
</think>

<response>-92, -11, 5</response>


input: Perform a bubble sort on the integers 77, -88, 44, -16, -2, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [77, -88, 44, -16, -2]

Pass 1:
  Compare 77 and -88
  Swap 77 and -88
  List after swap: [-88, 77, 44, -16, -2]
  Compare 77 and 44
  Swap 77 and 44
  List after swap: [-88, 44, 77, -16, -2]
  Compare 77 and -16
  Swap 77 and -16
  List after swap: [-88, 44, -16, 77, -2]
  Compare 77 and -2
  Swap 77 and -2
  List after swap: [-88, 44, -16, -2, 77]

Pass 2:
  Compare -88 and 44
  No swap needed
  Compare 44 and -16
  Swap 44 and -16
  List after swap: [-88, -16, 44, -2, 77]
  Compare 44 and -2
  Swap 44 and -2
  List after swap: [-88, -16, -2, 44, 77]

Pass 3:
  Compare -88 and -16
  No swap needed
  Compare -16 and -2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -16, -2, 44, 77]
</think>

<response>-88, -16, -2, 44, 77</response>


input: Demonstrate how bubble sort orders the integers -13, -55, -51, 92, 1, 66, -35, -64 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-13, -55, -51, 92, 1, 66, -35, -64]

Pass 1:
  Compare -13 and -55
  Swap -13 and -55
  List after swap: [-55, -13, -51, 92, 1, 66, -35, -64]
  Compare -13 and -51
  Swap -13 and -51
  List after swap: [-55, -51, -13, 92, 1, 66, -35, -64]
  Compare -13 and 92
  No swap needed
  Compare 92 and 1
  Swap 92 and 1
  List after swap: [-55, -51, -13, 1, 92, 66, -35, -64]
  Compare 92 and 66
  Swap 92 and 66
  List after swap: [-55, -51, -13, 1, 66, 92, -35, -64]
  Compare 92 and -35
  Swap 92 and -35
  List after swap: [-55, -51, -13, 1, 66, -35, 92, -64]
  Compare 92 and -64
  Swap 92 and -64
  List after swap: [-55, -51, -13, 1, 66, -35, -64, 92]

Pass 2:
  Compare -55 and -51
  No swap needed
  Compare -51 and -13
  No swap needed
  Compare -13 and 1
  No swap needed
  Compare 1 and 66
  No swap needed
  Compare 66 and -35
  Swap 66 and -35
  List after swap: [-55, -51, -13, 1, -35, 66, -64, 92]
  Compare 66 and -64
  Swap 66 and -64
  List after swap: [-55, -51, -13, 1, -35, -64, 66, 92]

Pass 3:
  Compare -55 and -51
  No swap needed
  Compare -51 and -13
  No swap needed
  Compare -13 and 1
  No swap needed
  Compare 1 and -35
  Swap 1 and -35
  List after swap: [-55, -51, -13, -35, 1, -64, 66, 92]
  Compare 1 and -64
  Swap 1 and -64
  List after swap: [-55, -51, -13, -35, -64, 1, 66, 92]

Pass 4:
  Compare -55 and -51
  No swap needed
  Compare -51 and -13
  No swap needed
  Compare -13 and -35
  Swap -13 and -35
  List after swap: [-55, -51, -35, -13, -64, 1, 66, 92]
  Compare -13 and -64
  Swap -13 and -64
  List after swap: [-55, -51, -35, -64, -13, 1, 66, 92]

Pass 5:
  Compare -55 and -51
  No swap needed
  Compare -51 and -35
  No swap needed
  Compare -35 and -64
  Swap -35 and -64
  List after swap: [-55, -51, -64, -35, -13, 1, 66, 92]

Pass 6:
  Compare -55 and -51
  No swap needed
  Compare -51 and -64
  Swap -51 and -64
  List after swap: [-55, -64, -51, -35, -13, 1, 66, 92]

Pass 7:
  Compare -55 and -64
  Swap -55 and -64
  List after swap: [-64, -55, -51, -35, -13, 1, 66, 92]

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

Final sorted list: [-64, -55, -51, -35, -13, 1, 66, 92]
</think>

<response>-64, -55, -51, -35, -13, 1, 66, 92</response>


input: Implement bubble sort on 25, 0, -83, -25, 80, -76, 18, 64 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [25, 0, -83, -25, 80, -76, 18, 64]

Pass 1:
  Compare 25 and 0
  Swap 25 and 0
  List after swap: [0, 25, -83, -25, 80, -76, 18, 64]
  Compare 25 and -83
  Swap 25 and -83
  List after swap: [0, -83, 25, -25, 80, -76, 18, 64]
  Compare 25 and -25
  Swap 25 and -25
  List after swap: [0, -83, -25, 25, 80, -76, 18, 64]
  Compare 25 and 80
  No swap needed
  Compare 80 and -76
  Swap 80 and -76
  List after swap: [0, -83, -25, 25, -76, 80, 18, 64]
  Compare 80 and 18
  Swap 80 and 18
  List after swap: [0, -83, -25, 25, -76, 18, 80, 64]
  Compare 80 and 64
  Swap 80 and 64
  List after swap: [0, -83, -25, 25, -76, 18, 64, 80]

Pass 2:
  Compare 0 and -83
  Swap 0 and -83
  List after swap: [-83, 0, -25, 25, -76, 18, 64, 80]
  Compare 0 and -25
  Swap 0 and -25
  List after swap: [-83, -25, 0, 25, -76, 18, 64, 80]
  Compare 0 and 25
  No swap needed
  Compare 25 and -76
  Swap 25 and -76
  List after swap: [-83, -25, 0, -76, 25, 18, 64, 80]
  Compare 25 and 18
  Swap 25 and 18
  List after swap: [-83, -25, 0, -76, 18, 25, 64, 80]
  Compare 25 and 64
  No swap needed

Pass 3:
  Compare -83 and -25
  No swap needed
  Compare -25 and 0
  No swap needed
  Compare 0 and -76
  Swap 0 and -76
  List after swap: [-83, -25, -76, 0, 18, 25, 64, 80]
  Compare 0 and 18
  No swap needed
  Compare 18 and 25
  No swap needed

Pass 4:
  Compare -83 and -25
  No swap needed
  Compare -25 and -76
  Swap -25 and -76
  List after swap: [-83, -76, -25, 0, 18, 25, 64, 80]
  Compare -25 and 0
  No swap needed
  Compare 0 and 18
  No swap needed

Pass 5:
  Compare -83 and -76
  No swap needed
  Compare -76 and -25
  No swap needed
  Compare -25 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -76, -25, 0, 18, 25, 64, 80]
</think>

<response>-83, -76, -25, 0, 18, 25, 64, 80</response>


input: Sort the list -9, -85, 32 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-9, -85, 32]

Pass 1:
  Compare -9 and -85
  Swap -9 and -85
  List after swap: [-85, -9, 32]
  Compare -9 and 32
  No swap needed

Pass 2:
  Compare -85 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -9, 32]
</think>

<response>-85, -9, 32</response>


input: Using the bubble sort method, sort 69, -71, -51, 65, -84, 93, 55 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [69, -71, -51, 65, -84, 93, 55]

Pass 1:
  Compare 69 and -71
  Swap 69 and -71
  List after swap: [-71, 69, -51, 65, -84, 93, 55]
  Compare 69 and -51
  Swap 69 and -51
  List after swap: [-71, -51, 69, 65, -84, 93, 55]
  Compare 69 and 65
  Swap 69 and 65
  List after swap: [-71, -51, 65, 69, -84, 93, 55]
  Compare 69 and -84
  Swap 69 and -84
  List after swap: [-71, -51, 65, -84, 69, 93, 55]
  Compare 69 and 93
  No swap needed
  Compare 93 and 55
  Swap 93 and 55
  List after swap: [-71, -51, 65, -84, 69, 55, 93]

Pass 2:
  Compare -71 and -51
  No swap needed
  Compare -51 and 65
  No swap needed
  Compare 65 and -84
  Swap 65 and -84
  List after swap: [-71, -51, -84, 65, 69, 55, 93]
  Compare 65 and 69
  No swap needed
  Compare 69 and 55
  Swap 69 and 55
  List after swap: [-71, -51, -84, 65, 55, 69, 93]

Pass 3:
  Compare -71 and -51
  No swap needed
  Compare -51 and -84
  Swap -51 and -84
  List after swap: [-71, -84, -51, 65, 55, 69, 93]
  Compare -51 and 65
  No swap needed
  Compare 65 and 55
  Swap 65 and 55
  List after swap: [-71, -84, -51, 55, 65, 69, 93]

Pass 4:
  Compare -71 and -84
  Swap -71 and -84
  List after swap: [-84, -71, -51, 55, 65, 69, 93]
  Compare -71 and -51
  No swap needed
  Compare -51 and 55
  No swap needed

Pass 5:
  Compare -84 and -71
  No swap needed
  Compare -71 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -71, -51, 55, 65, 69, 93]
</think>

<response>-84, -71, -51, 55, 65, 69, 93</response>


input: Perform a bubble sort on the integers -42, -62, 30, 70, -46, -40, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-42, -62, 30, 70, -46, -40]

Pass 1:
  Compare -42 and -62
  Swap -42 and -62
  List after swap: [-62, -42, 30, 70, -46, -40]
  Compare -42 and 30
  No swap needed
  Compare 30 and 70
  No swap needed
  Compare 70 and -46
  Swap 70 and -46
  List after swap: [-62, -42, 30, -46, 70, -40]
  Compare 70 and -40
  Swap 70 and -40
  List after swap: [-62, -42, 30, -46, -40, 70]

Pass 2:
  Compare -62 and -42
  No swap needed
  Compare -42 and 30
  No swap needed
  Compare 30 and -46
  Swap 30 and -46
  List after swap: [-62, -42, -46, 30, -40, 70]
  Compare 30 and -40
  Swap 30 and -40
  List after swap: [-62, -42, -46, -40, 30, 70]

Pass 3:
  Compare -62 and -42
  No swap needed
  Compare -42 and -46
  Swap -42 and -46
  List after swap: [-62, -46, -42, -40, 30, 70]
  Compare -42 and -40
  No swap needed

Pass 4:
  Compare -62 and -46
  No swap needed
  Compare -46 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -46, -42, -40, 30, 70]
</think>

<response>-62, -46, -42, -40, 30, 70</response>