input: Arrange the numbers 91, 32, -35, -86, -8, -97, 23, -34, 76, 5 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [91, 32, -35, -86, -8, -97, 23, -34, 76, 5]

Pass 1:
  Compare 91 and 32
  Swap 91 and 32
  List after swap: [32, 91, -35, -86, -8, -97, 23, -34, 76, 5]
  Compare 91 and -35
  Swap 91 and -35
  List after swap: [32, -35, 91, -86, -8, -97, 23, -34, 76, 5]
  Compare 91 and -86
  Swap 91 and -86
  List after swap: [32, -35, -86, 91, -8, -97, 23, -34, 76, 5]
  Compare 91 and -8
  Swap 91 and -8
  List after swap: [32, -35, -86, -8, 91, -97, 23, -34, 76, 5]
  Compare 91 and -97
  Swap 91 and -97
  List after swap: [32, -35, -86, -8, -97, 91, 23, -34, 76, 5]
  Compare 91 and 23
  Swap 91 and 23
  List after swap: [32, -35, -86, -8, -97, 23, 91, -34, 76, 5]
  Compare 91 and -34
  Swap 91 and -34
  List after swap: [32, -35, -86, -8, -97, 23, -34, 91, 76, 5]
  Compare 91 and 76
  Swap 91 and 76
  List after swap: [32, -35, -86, -8, -97, 23, -34, 76, 91, 5]
  Compare 91 and 5
  Swap 91 and 5
  List after swap: [32, -35, -86, -8, -97, 23, -34, 76, 5, 91]

Pass 2:
  Compare 32 and -35
  Swap 32 and -35
  List after swap: [-35, 32, -86, -8, -97, 23, -34, 76, 5, 91]
  Compare 32 and -86
  Swap 32 and -86
  List after swap: [-35, -86, 32, -8, -97, 23, -34, 76, 5, 91]
  Compare 32 and -8
  Swap 32 and -8
  List after swap: [-35, -86, -8, 32, -97, 23, -34, 76, 5, 91]
  Compare 32 and -97
  Swap 32 and -97
  List after swap: [-35, -86, -8, -97, 32, 23, -34, 76, 5, 91]
  Compare 32 and 23
  Swap 32 and 23
  List after swap: [-35, -86, -8, -97, 23, 32, -34, 76, 5, 91]
  Compare 32 and -34
  Swap 32 and -34
  List after swap: [-35, -86, -8, -97, 23, -34, 32, 76, 5, 91]
  Compare 32 and 76
  No swap needed
  Compare 76 and 5
  Swap 76 and 5
  List after swap: [-35, -86, -8, -97, 23, -34, 32, 5, 76, 91]

Pass 3:
  Compare -35 and -86
  Swap -35 and -86
  List after swap: [-86, -35, -8, -97, 23, -34, 32, 5, 76, 91]
  Compare -35 and -8
  No swap needed
  Compare -8 and -97
  Swap -8 and -97
  List after swap: [-86, -35, -97, -8, 23, -34, 32, 5, 76, 91]
  Compare -8 and 23
  No swap needed
  Compare 23 and -34
  Swap 23 and -34
  List after swap: [-86, -35, -97, -8, -34, 23, 32, 5, 76, 91]
  Compare 23 and 32
  No swap needed
  Compare 32 and 5
  Swap 32 and 5
  List after swap: [-86, -35, -97, -8, -34, 23, 5, 32, 76, 91]

Pass 4:
  Compare -86 and -35
  No swap needed
  Compare -35 and -97
  Swap -35 and -97
  List after swap: [-86, -97, -35, -8, -34, 23, 5, 32, 76, 91]
  Compare -35 and -8
  No swap needed
  Compare -8 and -34
  Swap -8 and -34
  List after swap: [-86, -97, -35, -34, -8, 23, 5, 32, 76, 91]
  Compare -8 and 23
  No swap needed
  Compare 23 and 5
  Swap 23 and 5
  List after swap: [-86, -97, -35, -34, -8, 5, 23, 32, 76, 91]

Pass 5:
  Compare -86 and -97
  Swap -86 and -97
  List after swap: [-97, -86, -35, -34, -8, 5, 23, 32, 76, 91]
  Compare -86 and -35
  No swap needed
  Compare -35 and -34
  No swap needed
  Compare -34 and -8
  No swap needed
  Compare -8 and 5
  No swap needed

Pass 6:
  Compare -97 and -86
  No swap needed
  Compare -86 and -35
  No swap needed
  Compare -35 and -34
  No swap needed
  Compare -34 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -86, -35, -34, -8, 5, 23, 32, 76, 91]
</think>

<response>-97, -86, -35, -34, -8, 5, 23, 32, 76, 91</response>


input: Execute bubble sort to sort 89, -4, 5, -70, -22, 98, -12, -85, -69 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [89, -4, 5, -70, -22, 98, -12, -85, -69]

Pass 1:
  Compare 89 and -4
  Swap 89 and -4
  List after swap: [-4, 89, 5, -70, -22, 98, -12, -85, -69]
  Compare 89 and 5
  Swap 89 and 5
  List after swap: [-4, 5, 89, -70, -22, 98, -12, -85, -69]
  Compare 89 and -70
  Swap 89 and -70
  List after swap: [-4, 5, -70, 89, -22, 98, -12, -85, -69]
  Compare 89 and -22
  Swap 89 and -22
  List after swap: [-4, 5, -70, -22, 89, 98, -12, -85, -69]
  Compare 89 and 98
  No swap needed
  Compare 98 and -12
  Swap 98 and -12
  List after swap: [-4, 5, -70, -22, 89, -12, 98, -85, -69]
  Compare 98 and -85
  Swap 98 and -85
  List after swap: [-4, 5, -70, -22, 89, -12, -85, 98, -69]
  Compare 98 and -69
  Swap 98 and -69
  List after swap: [-4, 5, -70, -22, 89, -12, -85, -69, 98]

Pass 2:
  Compare -4 and 5
  No swap needed
  Compare 5 and -70
  Swap 5 and -70
  List after swap: [-4, -70, 5, -22, 89, -12, -85, -69, 98]
  Compare 5 and -22
  Swap 5 and -22
  List after swap: [-4, -70, -22, 5, 89, -12, -85, -69, 98]
  Compare 5 and 89
  No swap needed
  Compare 89 and -12
  Swap 89 and -12
  List after swap: [-4, -70, -22, 5, -12, 89, -85, -69, 98]
  Compare 89 and -85
  Swap 89 and -85
  List after swap: [-4, -70, -22, 5, -12, -85, 89, -69, 98]
  Compare 89 and -69
  Swap 89 and -69
  List after swap: [-4, -70, -22, 5, -12, -85, -69, 89, 98]

Pass 3:
  Compare -4 and -70
  Swap -4 and -70
  List after swap: [-70, -4, -22, 5, -12, -85, -69, 89, 98]
  Compare -4 and -22
  Swap -4 and -22
  List after swap: [-70, -22, -4, 5, -12, -85, -69, 89, 98]
  Compare -4 and 5
  No swap needed
  Compare 5 and -12
  Swap 5 and -12
  List after swap: [-70, -22, -4, -12, 5, -85, -69, 89, 98]
  Compare 5 and -85
  Swap 5 and -85
  List after swap: [-70, -22, -4, -12, -85, 5, -69, 89, 98]
  Compare 5 and -69
  Swap 5 and -69
  List after swap: [-70, -22, -4, -12, -85, -69, 5, 89, 98]

Pass 4:
  Compare -70 and -22
  No swap needed
  Compare -22 and -4
  No swap needed
  Compare -4 and -12
  Swap -4 and -12
  List after swap: [-70, -22, -12, -4, -85, -69, 5, 89, 98]
  Compare -4 and -85
  Swap -4 and -85
  List after swap: [-70, -22, -12, -85, -4, -69, 5, 89, 98]
  Compare -4 and -69
  Swap -4 and -69
  List after swap: [-70, -22, -12, -85, -69, -4, 5, 89, 98]

Pass 5:
  Compare -70 and -22
  No swap needed
  Compare -22 and -12
  No swap needed
  Compare -12 and -85
  Swap -12 and -85
  List after swap: [-70, -22, -85, -12, -69, -4, 5, 89, 98]
  Compare -12 and -69
  Swap -12 and -69
  List after swap: [-70, -22, -85, -69, -12, -4, 5, 89, 98]

Pass 6:
  Compare -70 and -22
  No swap needed
  Compare -22 and -85
  Swap -22 and -85
  List after swap: [-70, -85, -22, -69, -12, -4, 5, 89, 98]
  Compare -22 and -69
  Swap -22 and -69
  List after swap: [-70, -85, -69, -22, -12, -4, 5, 89, 98]

Pass 7:
  Compare -70 and -85
  Swap -70 and -85
  List after swap: [-85, -70, -69, -22, -12, -4, 5, 89, 98]
  Compare -70 and -69
  No swap needed

Pass 8:
  Compare -85 and -70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -70, -69, -22, -12, -4, 5, 89, 98]
</think>

<response>-85, -70, -69, -22, -12, -4, 5, 89, 98</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -25, -52, -19, 39, 36, -56, -55, 29.

output:
<think>
Initial list: [-25, -52, -19, 39, 36, -56, -55, 29]

Pass 1:
  Compare -25 and -52
  Swap -25 and -52
  List after swap: [-52, -25, -19, 39, 36, -56, -55, 29]
  Compare -25 and -19
  No swap needed
  Compare -19 and 39
  No swap needed
  Compare 39 and 36
  Swap 39 and 36
  List after swap: [-52, -25, -19, 36, 39, -56, -55, 29]
  Compare 39 and -56
  Swap 39 and -56
  List after swap: [-52, -25, -19, 36, -56, 39, -55, 29]
  Compare 39 and -55
  Swap 39 and -55
  List after swap: [-52, -25, -19, 36, -56, -55, 39, 29]
  Compare 39 and 29
  Swap 39 and 29
  List after swap: [-52, -25, -19, 36, -56, -55, 29, 39]

Pass 2:
  Compare -52 and -25
  No swap needed
  Compare -25 and -19
  No swap needed
  Compare -19 and 36
  No swap needed
  Compare 36 and -56
  Swap 36 and -56
  List after swap: [-52, -25, -19, -56, 36, -55, 29, 39]
  Compare 36 and -55
  Swap 36 and -55
  List after swap: [-52, -25, -19, -56, -55, 36, 29, 39]
  Compare 36 and 29
  Swap 36 and 29
  List after swap: [-52, -25, -19, -56, -55, 29, 36, 39]

Pass 3:
  Compare -52 and -25
  No swap needed
  Compare -25 and -19
  No swap needed
  Compare -19 and -56
  Swap -19 and -56
  List after swap: [-52, -25, -56, -19, -55, 29, 36, 39]
  Compare -19 and -55
  Swap -19 and -55
  List after swap: [-52, -25, -56, -55, -19, 29, 36, 39]
  Compare -19 and 29
  No swap needed

Pass 4:
  Compare -52 and -25
  No swap needed
  Compare -25 and -56
  Swap -25 and -56
  List after swap: [-52, -56, -25, -55, -19, 29, 36, 39]
  Compare -25 and -55
  Swap -25 and -55
  List after swap: [-52, -56, -55, -25, -19, 29, 36, 39]
  Compare -25 and -19
  No swap needed

Pass 5:
  Compare -52 and -56
  Swap -52 and -56
  List after swap: [-56, -52, -55, -25, -19, 29, 36, 39]
  Compare -52 and -55
  Swap -52 and -55
  List after swap: [-56, -55, -52, -25, -19, 29, 36, 39]
  Compare -52 and -25
  No swap needed

Pass 6:
  Compare -56 and -55
  No swap needed
  Compare -55 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -55, -52, -25, -19, 29, 36, 39]
</think>

<response>-56, -55, -52, -25, -19, 29, 36, 39</response>


input: Implement bubble sort on -15, 67, -60, -78, -29, 78 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-15, 67, -60, -78, -29, 78]

Pass 1:
  Compare -15 and 67
  No swap needed
  Compare 67 and -60
  Swap 67 and -60
  List after swap: [-15, -60, 67, -78, -29, 78]
  Compare 67 and -78
  Swap 67 and -78
  List after swap: [-15, -60, -78, 67, -29, 78]
  Compare 67 and -29
  Swap 67 and -29
  List after swap: [-15, -60, -78, -29, 67, 78]
  Compare 67 and 78
  No swap needed

Pass 2:
  Compare -15 and -60
  Swap -15 and -60
  List after swap: [-60, -15, -78, -29, 67, 78]
  Compare -15 and -78
  Swap -15 and -78
  List after swap: [-60, -78, -15, -29, 67, 78]
  Compare -15 and -29
  Swap -15 and -29
  List after swap: [-60, -78, -29, -15, 67, 78]
  Compare -15 and 67
  No swap needed

Pass 3:
  Compare -60 and -78
  Swap -60 and -78
  List after swap: [-78, -60, -29, -15, 67, 78]
  Compare -60 and -29
  No swap needed
  Compare -29 and -15
  No swap needed

Pass 4:
  Compare -78 and -60
  No swap needed
  Compare -60 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -60, -29, -15, 67, 78]
</think>

<response>-78, -60, -29, -15, 67, 78</response>


input: Demonstrate how bubble sort orders the integers 69, -99, -34, -20, 17, 65, 25, 64, 21, 99 in ascending sequence, showing all steps.

output:
<think>
Initial list: [69, -99, -34, -20, 17, 65, 25, 64, 21, 99]

Pass 1:
  Compare 69 and -99
  Swap 69 and -99
  List after swap: [-99, 69, -34, -20, 17, 65, 25, 64, 21, 99]
  Compare 69 and -34
  Swap 69 and -34
  List after swap: [-99, -34, 69, -20, 17, 65, 25, 64, 21, 99]
  Compare 69 and -20
  Swap 69 and -20
  List after swap: [-99, -34, -20, 69, 17, 65, 25, 64, 21, 99]
  Compare 69 and 17
  Swap 69 and 17
  List after swap: [-99, -34, -20, 17, 69, 65, 25, 64, 21, 99]
  Compare 69 and 65
  Swap 69 and 65
  List after swap: [-99, -34, -20, 17, 65, 69, 25, 64, 21, 99]
  Compare 69 and 25
  Swap 69 and 25
  List after swap: [-99, -34, -20, 17, 65, 25, 69, 64, 21, 99]
  Compare 69 and 64
  Swap 69 and 64
  List after swap: [-99, -34, -20, 17, 65, 25, 64, 69, 21, 99]
  Compare 69 and 21
  Swap 69 and 21
  List after swap: [-99, -34, -20, 17, 65, 25, 64, 21, 69, 99]
  Compare 69 and 99
  No swap needed

Pass 2:
  Compare -99 and -34
  No swap needed
  Compare -34 and -20
  No swap needed
  Compare -20 and 17
  No swap needed
  Compare 17 and 65
  No swap needed
  Compare 65 and 25
  Swap 65 and 25
  List after swap: [-99, -34, -20, 17, 25, 65, 64, 21, 69, 99]
  Compare 65 and 64
  Swap 65 and 64
  List after swap: [-99, -34, -20, 17, 25, 64, 65, 21, 69, 99]
  Compare 65 and 21
  Swap 65 and 21
  List after swap: [-99, -34, -20, 17, 25, 64, 21, 65, 69, 99]
  Compare 65 and 69
  No swap needed

Pass 3:
  Compare -99 and -34
  No swap needed
  Compare -34 and -20
  No swap needed
  Compare -20 and 17
  No swap needed
  Compare 17 and 25
  No swap needed
  Compare 25 and 64
  No swap needed
  Compare 64 and 21
  Swap 64 and 21
  List after swap: [-99, -34, -20, 17, 25, 21, 64, 65, 69, 99]
  Compare 64 and 65
  No swap needed

Pass 4:
  Compare -99 and -34
  No swap needed
  Compare -34 and -20
  No swap needed
  Compare -20 and 17
  No swap needed
  Compare 17 and 25
  No swap needed
  Compare 25 and 21
  Swap 25 and 21
  List after swap: [-99, -34, -20, 17, 21, 25, 64, 65, 69, 99]
  Compare 25 and 64
  No swap needed

Pass 5:
  Compare -99 and -34
  No swap needed
  Compare -34 and -20
  No swap needed
  Compare -20 and 17
  No swap needed
  Compare 17 and 21
  No swap needed
  Compare 21 and 25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -34, -20, 17, 21, 25, 64, 65, 69, 99]
</think>

<response>-99, -34, -20, 17, 21, 25, 64, 65, 69, 99</response>


input: Carry out the bubble sort algorithm on 37, 54, -58, -30 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [37, 54, -58, -30]

Pass 1:
  Compare 37 and 54
  No swap needed
  Compare 54 and -58
  Swap 54 and -58
  List after swap: [37, -58, 54, -30]
  Compare 54 and -30
  Swap 54 and -30
  List after swap: [37, -58, -30, 54]

Pass 2:
  Compare 37 and -58
  Swap 37 and -58
  List after swap: [-58, 37, -30, 54]
  Compare 37 and -30
  Swap 37 and -30
  List after swap: [-58, -30, 37, 54]

Pass 3:
  Compare -58 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -30, 37, 54]
</think>

<response>-58, -30, 37, 54</response>


input: Carry out the bubble sort algorithm on -64, -53, 80, -47 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-64, -53, 80, -47]

Pass 1:
  Compare -64 and -53
  No swap needed
  Compare -53 and 80
  No swap needed
  Compare 80 and -47
  Swap 80 and -47
  List after swap: [-64, -53, -47, 80]

Pass 2:
  Compare -64 and -53
  No swap needed
  Compare -53 and -47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -53, -47, 80]
</think>

<response>-64, -53, -47, 80</response>


input: Use the bubble sort technique to reorder 7, -7, 66, 68 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [7, -7, 66, 68]

Pass 1:
  Compare 7 and -7
  Swap 7 and -7
  List after swap: [-7, 7, 66, 68]
  Compare 7 and 66
  No swap needed
  Compare 66 and 68
  No swap needed

Pass 2:
  Compare -7 and 7
  No swap needed
  Compare 7 and 66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-7, 7, 66, 68]
</think>

<response>-7, 7, 66, 68</response>


input: Carry out the bubble sort algorithm on 46, -1, -83, 56, -81, 77, -36, 19, 88 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [46, -1, -83, 56, -81, 77, -36, 19, 88]

Pass 1:
  Compare 46 and -1
  Swap 46 and -1
  List after swap: [-1, 46, -83, 56, -81, 77, -36, 19, 88]
  Compare 46 and -83
  Swap 46 and -83
  List after swap: [-1, -83, 46, 56, -81, 77, -36, 19, 88]
  Compare 46 and 56
  No swap needed
  Compare 56 and -81
  Swap 56 and -81
  List after swap: [-1, -83, 46, -81, 56, 77, -36, 19, 88]
  Compare 56 and 77
  No swap needed
  Compare 77 and -36
  Swap 77 and -36
  List after swap: [-1, -83, 46, -81, 56, -36, 77, 19, 88]
  Compare 77 and 19
  Swap 77 and 19
  List after swap: [-1, -83, 46, -81, 56, -36, 19, 77, 88]
  Compare 77 and 88
  No swap needed

Pass 2:
  Compare -1 and -83
  Swap -1 and -83
  List after swap: [-83, -1, 46, -81, 56, -36, 19, 77, 88]
  Compare -1 and 46
  No swap needed
  Compare 46 and -81
  Swap 46 and -81
  List after swap: [-83, -1, -81, 46, 56, -36, 19, 77, 88]
  Compare 46 and 56
  No swap needed
  Compare 56 and -36
  Swap 56 and -36
  List after swap: [-83, -1, -81, 46, -36, 56, 19, 77, 88]
  Compare 56 and 19
  Swap 56 and 19
  List after swap: [-83, -1, -81, 46, -36, 19, 56, 77, 88]
  Compare 56 and 77
  No swap needed

Pass 3:
  Compare -83 and -1
  No swap needed
  Compare -1 and -81
  Swap -1 and -81
  List after swap: [-83, -81, -1, 46, -36, 19, 56, 77, 88]
  Compare -1 and 46
  No swap needed
  Compare 46 and -36
  Swap 46 and -36
  List after swap: [-83, -81, -1, -36, 46, 19, 56, 77, 88]
  Compare 46 and 19
  Swap 46 and 19
  List after swap: [-83, -81, -1, -36, 19, 46, 56, 77, 88]
  Compare 46 and 56
  No swap needed

Pass 4:
  Compare -83 and -81
  No swap needed
  Compare -81 and -1
  No swap needed
  Compare -1 and -36
  Swap -1 and -36
  List after swap: [-83, -81, -36, -1, 19, 46, 56, 77, 88]
  Compare -1 and 19
  No swap needed
  Compare 19 and 46
  No swap needed

Pass 5:
  Compare -83 and -81
  No swap needed
  Compare -81 and -36
  No swap needed
  Compare -36 and -1
  No swap needed
  Compare -1 and 19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -81, -36, -1, 19, 46, 56, 77, 88]
</think>

<response>-83, -81, -36, -1, 19, 46, 56, 77, 88</response>


input: Perform a bubble sort on the integers -60, -35, 31, -97, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-60, -35, 31, -97]

Pass 1:
  Compare -60 and -35
  No swap needed
  Compare -35 and 31
  No swap needed
  Compare 31 and -97
  Swap 31 and -97
  List after swap: [-60, -35, -97, 31]

Pass 2:
  Compare -60 and -35
  No swap needed
  Compare -35 and -97
  Swap -35 and -97
  List after swap: [-60, -97, -35, 31]

Pass 3:
  Compare -60 and -97
  Swap -60 and -97
  List after swap: [-97, -60, -35, 31]

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

Final sorted list: [-97, -60, -35, 31]
</think>

<response>-97, -60, -35, 31</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 21, -41, -4, 47, 78, 38.

output:
<think>
Initial list: [21, -41, -4, 47, 78, 38]

Pass 1:
  Compare 21 and -41
  Swap 21 and -41
  List after swap: [-41, 21, -4, 47, 78, 38]
  Compare 21 and -4
  Swap 21 and -4
  List after swap: [-41, -4, 21, 47, 78, 38]
  Compare 21 and 47
  No swap needed
  Compare 47 and 78
  No swap needed
  Compare 78 and 38
  Swap 78 and 38
  List after swap: [-41, -4, 21, 47, 38, 78]

Pass 2:
  Compare -41 and -4
  No swap needed
  Compare -4 and 21
  No swap needed
  Compare 21 and 47
  No swap needed
  Compare 47 and 38
  Swap 47 and 38
  List after swap: [-41, -4, 21, 38, 47, 78]

Pass 3:
  Compare -41 and -4
  No swap needed
  Compare -4 and 21
  No swap needed
  Compare 21 and 38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-41, -4, 21, 38, 47, 78]
</think>

<response>-41, -4, 21, 38, 47, 78</response>


input: Demonstrate how bubble sort orders the integers -86, 42, -55 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-86, 42, -55]

Pass 1:
  Compare -86 and 42
  No swap needed
  Compare 42 and -55
  Swap 42 and -55
  List after swap: [-86, -55, 42]

Pass 2:
  Compare -86 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -55, 42]
</think>

<response>-86, -55, 42</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -78, -89, 46, 20, 88, -64, 24.

output:
<think>
Initial list: [-78, -89, 46, 20, 88, -64, 24]

Pass 1:
  Compare -78 and -89
  Swap -78 and -89
  List after swap: [-89, -78, 46, 20, 88, -64, 24]
  Compare -78 and 46
  No swap needed
  Compare 46 and 20
  Swap 46 and 20
  List after swap: [-89, -78, 20, 46, 88, -64, 24]
  Compare 46 and 88
  No swap needed
  Compare 88 and -64
  Swap 88 and -64
  List after swap: [-89, -78, 20, 46, -64, 88, 24]
  Compare 88 and 24
  Swap 88 and 24
  List after swap: [-89, -78, 20, 46, -64, 24, 88]

Pass 2:
  Compare -89 and -78
  No swap needed
  Compare -78 and 20
  No swap needed
  Compare 20 and 46
  No swap needed
  Compare 46 and -64
  Swap 46 and -64
  List after swap: [-89, -78, 20, -64, 46, 24, 88]
  Compare 46 and 24
  Swap 46 and 24
  List after swap: [-89, -78, 20, -64, 24, 46, 88]

Pass 3:
  Compare -89 and -78
  No swap needed
  Compare -78 and 20
  No swap needed
  Compare 20 and -64
  Swap 20 and -64
  List after swap: [-89, -78, -64, 20, 24, 46, 88]
  Compare 20 and 24
  No swap needed

Pass 4:
  Compare -89 and -78
  No swap needed
  Compare -78 and -64
  No swap needed
  Compare -64 and 20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -78, -64, 20, 24, 46, 88]
</think>

<response>-89, -78, -64, 20, 24, 46, 88</response>


input: Execute bubble sort to sort -43, -48, 33, 38, -30, 37, -26, 9, 18 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-43, -48, 33, 38, -30, 37, -26, 9, 18]

Pass 1:
  Compare -43 and -48
  Swap -43 and -48
  List after swap: [-48, -43, 33, 38, -30, 37, -26, 9, 18]
  Compare -43 and 33
  No swap needed
  Compare 33 and 38
  No swap needed
  Compare 38 and -30
  Swap 38 and -30
  List after swap: [-48, -43, 33, -30, 38, 37, -26, 9, 18]
  Compare 38 and 37
  Swap 38 and 37
  List after swap: [-48, -43, 33, -30, 37, 38, -26, 9, 18]
  Compare 38 and -26
  Swap 38 and -26
  List after swap: [-48, -43, 33, -30, 37, -26, 38, 9, 18]
  Compare 38 and 9
  Swap 38 and 9
  List after swap: [-48, -43, 33, -30, 37, -26, 9, 38, 18]
  Compare 38 and 18
  Swap 38 and 18
  List after swap: [-48, -43, 33, -30, 37, -26, 9, 18, 38]

Pass 2:
  Compare -48 and -43
  No swap needed
  Compare -43 and 33
  No swap needed
  Compare 33 and -30
  Swap 33 and -30
  List after swap: [-48, -43, -30, 33, 37, -26, 9, 18, 38]
  Compare 33 and 37
  No swap needed
  Compare 37 and -26
  Swap 37 and -26
  List after swap: [-48, -43, -30, 33, -26, 37, 9, 18, 38]
  Compare 37 and 9
  Swap 37 and 9
  List after swap: [-48, -43, -30, 33, -26, 9, 37, 18, 38]
  Compare 37 and 18
  Swap 37 and 18
  List after swap: [-48, -43, -30, 33, -26, 9, 18, 37, 38]

Pass 3:
  Compare -48 and -43
  No swap needed
  Compare -43 and -30
  No swap needed
  Compare -30 and 33
  No swap needed
  Compare 33 and -26
  Swap 33 and -26
  List after swap: [-48, -43, -30, -26, 33, 9, 18, 37, 38]
  Compare 33 and 9
  Swap 33 and 9
  List after swap: [-48, -43, -30, -26, 9, 33, 18, 37, 38]
  Compare 33 and 18
  Swap 33 and 18
  List after swap: [-48, -43, -30, -26, 9, 18, 33, 37, 38]

Pass 4:
  Compare -48 and -43
  No swap needed
  Compare -43 and -30
  No swap needed
  Compare -30 and -26
  No swap needed
  Compare -26 and 9
  No swap needed
  Compare 9 and 18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-48, -43, -30, -26, 9, 18, 33, 37, 38]
</think>

<response>-48, -43, -30, -26, 9, 18, 33, 37, 38</response>


input: Use the bubble sort technique to reorder 7, -31, -91, -19, 29 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [7, -31, -91, -19, 29]

Pass 1:
  Compare 7 and -31
  Swap 7 and -31
  List after swap: [-31, 7, -91, -19, 29]
  Compare 7 and -91
  Swap 7 and -91
  List after swap: [-31, -91, 7, -19, 29]
  Compare 7 and -19
  Swap 7 and -19
  List after swap: [-31, -91, -19, 7, 29]
  Compare 7 and 29
  No swap needed

Pass 2:
  Compare -31 and -91
  Swap -31 and -91
  List after swap: [-91, -31, -19, 7, 29]
  Compare -31 and -19
  No swap needed
  Compare -19 and 7
  No swap needed

Pass 3:
  Compare -91 and -31
  No swap needed
  Compare -31 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -31, -19, 7, 29]
</think>

<response>-91, -31, -19, 7, 29</response>


input: Use the bubble sort technique to reorder -56, -99, -11 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-56, -99, -11]

Pass 1:
  Compare -56 and -99
  Swap -56 and -99
  List after swap: [-99, -56, -11]
  Compare -56 and -11
  No swap needed

Pass 2:
  Compare -99 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -56, -11]
</think>

<response>-99, -56, -11</response>


input: Implement bubble sort on -94, 1, 44, -12 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-94, 1, 44, -12]

Pass 1:
  Compare -94 and 1
  No swap needed
  Compare 1 and 44
  No swap needed
  Compare 44 and -12
  Swap 44 and -12
  List after swap: [-94, 1, -12, 44]

Pass 2:
  Compare -94 and 1
  No swap needed
  Compare 1 and -12
  Swap 1 and -12
  List after swap: [-94, -12, 1, 44]

Pass 3:
  Compare -94 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -12, 1, 44]
</think>

<response>-94, -12, 1, 44</response>


input: Use the bubble sort technique to reorder -79, -65, 36, 71, 25, -85, -13, -30 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-79, -65, 36, 71, 25, -85, -13, -30]

Pass 1:
  Compare -79 and -65
  No swap needed
  Compare -65 and 36
  No swap needed
  Compare 36 and 71
  No swap needed
  Compare 71 and 25
  Swap 71 and 25
  List after swap: [-79, -65, 36, 25, 71, -85, -13, -30]
  Compare 71 and -85
  Swap 71 and -85
  List after swap: [-79, -65, 36, 25, -85, 71, -13, -30]
  Compare 71 and -13
  Swap 71 and -13
  List after swap: [-79, -65, 36, 25, -85, -13, 71, -30]
  Compare 71 and -30
  Swap 71 and -30
  List after swap: [-79, -65, 36, 25, -85, -13, -30, 71]

Pass 2:
  Compare -79 and -65
  No swap needed
  Compare -65 and 36
  No swap needed
  Compare 36 and 25
  Swap 36 and 25
  List after swap: [-79, -65, 25, 36, -85, -13, -30, 71]
  Compare 36 and -85
  Swap 36 and -85
  List after swap: [-79, -65, 25, -85, 36, -13, -30, 71]
  Compare 36 and -13
  Swap 36 and -13
  List after swap: [-79, -65, 25, -85, -13, 36, -30, 71]
  Compare 36 and -30
  Swap 36 and -30
  List after swap: [-79, -65, 25, -85, -13, -30, 36, 71]

Pass 3:
  Compare -79 and -65
  No swap needed
  Compare -65 and 25
  No swap needed
  Compare 25 and -85
  Swap 25 and -85
  List after swap: [-79, -65, -85, 25, -13, -30, 36, 71]
  Compare 25 and -13
  Swap 25 and -13
  List after swap: [-79, -65, -85, -13, 25, -30, 36, 71]
  Compare 25 and -30
  Swap 25 and -30
  List after swap: [-79, -65, -85, -13, -30, 25, 36, 71]

Pass 4:
  Compare -79 and -65
  No swap needed
  Compare -65 and -85
  Swap -65 and -85
  List after swap: [-79, -85, -65, -13, -30, 25, 36, 71]
  Compare -65 and -13
  No swap needed
  Compare -13 and -30
  Swap -13 and -30
  List after swap: [-79, -85, -65, -30, -13, 25, 36, 71]

Pass 5:
  Compare -79 and -85
  Swap -79 and -85
  List after swap: [-85, -79, -65, -30, -13, 25, 36, 71]
  Compare -79 and -65
  No swap needed
  Compare -65 and -30
  No swap needed

Pass 6:
  Compare -85 and -79
  No swap needed
  Compare -79 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -79, -65, -30, -13, 25, 36, 71]
</think>

<response>-85, -79, -65, -30, -13, 25, 36, 71</response>


input: Sort these integers -77, -22, 47, -81, 55 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-77, -22, 47, -81, 55]

Pass 1:
  Compare -77 and -22
  No swap needed
  Compare -22 and 47
  No swap needed
  Compare 47 and -81
  Swap 47 and -81
  List after swap: [-77, -22, -81, 47, 55]
  Compare 47 and 55
  No swap needed

Pass 2:
  Compare -77 and -22
  No swap needed
  Compare -22 and -81
  Swap -22 and -81
  List after swap: [-77, -81, -22, 47, 55]
  Compare -22 and 47
  No swap needed

Pass 3:
  Compare -77 and -81
  Swap -77 and -81
  List after swap: [-81, -77, -22, 47, 55]
  Compare -77 and -22
  No swap needed

Pass 4:
  Compare -81 and -77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -77, -22, 47, 55]
</think>

<response>-81, -77, -22, 47, 55</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 94, -92, -38, -31.

output:
<think>
Initial list: [94, -92, -38, -31]

Pass 1:
  Compare 94 and -92
  Swap 94 and -92
  List after swap: [-92, 94, -38, -31]
  Compare 94 and -38
  Swap 94 and -38
  List after swap: [-92, -38, 94, -31]
  Compare 94 and -31
  Swap 94 and -31
  List after swap: [-92, -38, -31, 94]

Pass 2:
  Compare -92 and -38
  No swap needed
  Compare -38 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -38, -31, 94]
</think>

<response>-92, -38, -31, 94</response>


input: Arrange the numbers 8, 23, -8, -84, -16, -11, -49, -28, -76 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [8, 23, -8, -84, -16, -11, -49, -28, -76]

Pass 1:
  Compare 8 and 23
  No swap needed
  Compare 23 and -8
  Swap 23 and -8
  List after swap: [8, -8, 23, -84, -16, -11, -49, -28, -76]
  Compare 23 and -84
  Swap 23 and -84
  List after swap: [8, -8, -84, 23, -16, -11, -49, -28, -76]
  Compare 23 and -16
  Swap 23 and -16
  List after swap: [8, -8, -84, -16, 23, -11, -49, -28, -76]
  Compare 23 and -11
  Swap 23 and -11
  List after swap: [8, -8, -84, -16, -11, 23, -49, -28, -76]
  Compare 23 and -49
  Swap 23 and -49
  List after swap: [8, -8, -84, -16, -11, -49, 23, -28, -76]
  Compare 23 and -28
  Swap 23 and -28
  List after swap: [8, -8, -84, -16, -11, -49, -28, 23, -76]
  Compare 23 and -76
  Swap 23 and -76
  List after swap: [8, -8, -84, -16, -11, -49, -28, -76, 23]

Pass 2:
  Compare 8 and -8
  Swap 8 and -8
  List after swap: [-8, 8, -84, -16, -11, -49, -28, -76, 23]
  Compare 8 and -84
  Swap 8 and -84
  List after swap: [-8, -84, 8, -16, -11, -49, -28, -76, 23]
  Compare 8 and -16
  Swap 8 and -16
  List after swap: [-8, -84, -16, 8, -11, -49, -28, -76, 23]
  Compare 8 and -11
  Swap 8 and -11
  List after swap: [-8, -84, -16, -11, 8, -49, -28, -76, 23]
  Compare 8 and -49
  Swap 8 and -49
  List after swap: [-8, -84, -16, -11, -49, 8, -28, -76, 23]
  Compare 8 and -28
  Swap 8 and -28
  List after swap: [-8, -84, -16, -11, -49, -28, 8, -76, 23]
  Compare 8 and -76
  Swap 8 and -76
  List after swap: [-8, -84, -16, -11, -49, -28, -76, 8, 23]

Pass 3:
  Compare -8 and -84
  Swap -8 and -84
  List after swap: [-84, -8, -16, -11, -49, -28, -76, 8, 23]
  Compare -8 and -16
  Swap -8 and -16
  List after swap: [-84, -16, -8, -11, -49, -28, -76, 8, 23]
  Compare -8 and -11
  Swap -8 and -11
  List after swap: [-84, -16, -11, -8, -49, -28, -76, 8, 23]
  Compare -8 and -49
  Swap -8 and -49
  List after swap: [-84, -16, -11, -49, -8, -28, -76, 8, 23]
  Compare -8 and -28
  Swap -8 and -28
  List after swap: [-84, -16, -11, -49, -28, -8, -76, 8, 23]
  Compare -8 and -76
  Swap -8 and -76
  List after swap: [-84, -16, -11, -49, -28, -76, -8, 8, 23]

Pass 4:
  Compare -84 and -16
  No swap needed
  Compare -16 and -11
  No swap needed
  Compare -11 and -49
  Swap -11 and -49
  List after swap: [-84, -16, -49, -11, -28, -76, -8, 8, 23]
  Compare -11 and -28
  Swap -11 and -28
  List after swap: [-84, -16, -49, -28, -11, -76, -8, 8, 23]
  Compare -11 and -76
  Swap -11 and -76
  List after swap: [-84, -16, -49, -28, -76, -11, -8, 8, 23]

Pass 5:
  Compare -84 and -16
  No swap needed
  Compare -16 and -49
  Swap -16 and -49
  List after swap: [-84, -49, -16, -28, -76, -11, -8, 8, 23]
  Compare -16 and -28
  Swap -16 and -28
  List after swap: [-84, -49, -28, -16, -76, -11, -8, 8, 23]
  Compare -16 and -76
  Swap -16 and -76
  List after swap: [-84, -49, -28, -76, -16, -11, -8, 8, 23]

Pass 6:
  Compare -84 and -49
  No swap needed
  Compare -49 and -28
  No swap needed
  Compare -28 and -76
  Swap -28 and -76
  List after swap: [-84, -49, -76, -28, -16, -11, -8, 8, 23]

Pass 7:
  Compare -84 and -49
  No swap needed
  Compare -49 and -76
  Swap -49 and -76
  List after swap: [-84, -76, -49, -28, -16, -11, -8, 8, 23]

Pass 8:
  Compare -84 and -76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -76, -49, -28, -16, -11, -8, 8, 23]
</think>

<response>-84, -76, -49, -28, -16, -11, -8, 8, 23</response>


input: Implement bubble sort on -94, -53, 35, -100, 56, -66 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-94, -53, 35, -100, 56, -66]

Pass 1:
  Compare -94 and -53
  No swap needed
  Compare -53 and 35
  No swap needed
  Compare 35 and -100
  Swap 35 and -100
  List after swap: [-94, -53, -100, 35, 56, -66]
  Compare 35 and 56
  No swap needed
  Compare 56 and -66
  Swap 56 and -66
  List after swap: [-94, -53, -100, 35, -66, 56]

Pass 2:
  Compare -94 and -53
  No swap needed
  Compare -53 and -100
  Swap -53 and -100
  List after swap: [-94, -100, -53, 35, -66, 56]
  Compare -53 and 35
  No swap needed
  Compare 35 and -66
  Swap 35 and -66
  List after swap: [-94, -100, -53, -66, 35, 56]

Pass 3:
  Compare -94 and -100
  Swap -94 and -100
  List after swap: [-100, -94, -53, -66, 35, 56]
  Compare -94 and -53
  No swap needed
  Compare -53 and -66
  Swap -53 and -66
  List after swap: [-100, -94, -66, -53, 35, 56]

Pass 4:
  Compare -100 and -94
  No swap needed
  Compare -94 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -94, -66, -53, 35, 56]
</think>

<response>-100, -94, -66, -53, 35, 56</response>


input: Implement bubble sort on 47, -53, -97 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [47, -53, -97]

Pass 1:
  Compare 47 and -53
  Swap 47 and -53
  List after swap: [-53, 47, -97]
  Compare 47 and -97
  Swap 47 and -97
  List after swap: [-53, -97, 47]

Pass 2:
  Compare -53 and -97
  Swap -53 and -97
  List after swap: [-97, -53, 47]

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

Final sorted list: [-97, -53, 47]
</think>

<response>-97, -53, 47</response>


input: Use the bubble sort technique to reorder -79, -98, -63, -20, -52, -64, 96 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-79, -98, -63, -20, -52, -64, 96]

Pass 1:
  Compare -79 and -98
  Swap -79 and -98
  List after swap: [-98, -79, -63, -20, -52, -64, 96]
  Compare -79 and -63
  No swap needed
  Compare -63 and -20
  No swap needed
  Compare -20 and -52
  Swap -20 and -52
  List after swap: [-98, -79, -63, -52, -20, -64, 96]
  Compare -20 and -64
  Swap -20 and -64
  List after swap: [-98, -79, -63, -52, -64, -20, 96]
  Compare -20 and 96
  No swap needed

Pass 2:
  Compare -98 and -79
  No swap needed
  Compare -79 and -63
  No swap needed
  Compare -63 and -52
  No swap needed
  Compare -52 and -64
  Swap -52 and -64
  List after swap: [-98, -79, -63, -64, -52, -20, 96]
  Compare -52 and -20
  No swap needed

Pass 3:
  Compare -98 and -79
  No swap needed
  Compare -79 and -63
  No swap needed
  Compare -63 and -64
  Swap -63 and -64
  List after swap: [-98, -79, -64, -63, -52, -20, 96]
  Compare -63 and -52
  No swap needed

Pass 4:
  Compare -98 and -79
  No swap needed
  Compare -79 and -64
  No swap needed
  Compare -64 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -79, -64, -63, -52, -20, 96]
</think>

<response>-98, -79, -64, -63, -52, -20, 96</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -21, 89, 48, 20, -79, -18, -4, 32, 26, 18.

output:
<think>
Initial list: [-21, 89, 48, 20, -79, -18, -4, 32, 26, 18]

Pass 1:
  Compare -21 and 89
  No swap needed
  Compare 89 and 48
  Swap 89 and 48
  List after swap: [-21, 48, 89, 20, -79, -18, -4, 32, 26, 18]
  Compare 89 and 20
  Swap 89 and 20
  List after swap: [-21, 48, 20, 89, -79, -18, -4, 32, 26, 18]
  Compare 89 and -79
  Swap 89 and -79
  List after swap: [-21, 48, 20, -79, 89, -18, -4, 32, 26, 18]
  Compare 89 and -18
  Swap 89 and -18
  List after swap: [-21, 48, 20, -79, -18, 89, -4, 32, 26, 18]
  Compare 89 and -4
  Swap 89 and -4
  List after swap: [-21, 48, 20, -79, -18, -4, 89, 32, 26, 18]
  Compare 89 and 32
  Swap 89 and 32
  List after swap: [-21, 48, 20, -79, -18, -4, 32, 89, 26, 18]
  Compare 89 and 26
  Swap 89 and 26
  List after swap: [-21, 48, 20, -79, -18, -4, 32, 26, 89, 18]
  Compare 89 and 18
  Swap 89 and 18
  List after swap: [-21, 48, 20, -79, -18, -4, 32, 26, 18, 89]

Pass 2:
  Compare -21 and 48
  No swap needed
  Compare 48 and 20
  Swap 48 and 20
  List after swap: [-21, 20, 48, -79, -18, -4, 32, 26, 18, 89]
  Compare 48 and -79
  Swap 48 and -79
  List after swap: [-21, 20, -79, 48, -18, -4, 32, 26, 18, 89]
  Compare 48 and -18
  Swap 48 and -18
  List after swap: [-21, 20, -79, -18, 48, -4, 32, 26, 18, 89]
  Compare 48 and -4
  Swap 48 and -4
  List after swap: [-21, 20, -79, -18, -4, 48, 32, 26, 18, 89]
  Compare 48 and 32
  Swap 48 and 32
  List after swap: [-21, 20, -79, -18, -4, 32, 48, 26, 18, 89]
  Compare 48 and 26
  Swap 48 and 26
  List after swap: [-21, 20, -79, -18, -4, 32, 26, 48, 18, 89]
  Compare 48 and 18
  Swap 48 and 18
  List after swap: [-21, 20, -79, -18, -4, 32, 26, 18, 48, 89]

Pass 3:
  Compare -21 and 20
  No swap needed
  Compare 20 and -79
  Swap 20 and -79
  List after swap: [-21, -79, 20, -18, -4, 32, 26, 18, 48, 89]
  Compare 20 and -18
  Swap 20 and -18
  List after swap: [-21, -79, -18, 20, -4, 32, 26, 18, 48, 89]
  Compare 20 and -4
  Swap 20 and -4
  List after swap: [-21, -79, -18, -4, 20, 32, 26, 18, 48, 89]
  Compare 20 and 32
  No swap needed
  Compare 32 and 26
  Swap 32 and 26
  List after swap: [-21, -79, -18, -4, 20, 26, 32, 18, 48, 89]
  Compare 32 and 18
  Swap 32 and 18
  List after swap: [-21, -79, -18, -4, 20, 26, 18, 32, 48, 89]

Pass 4:
  Compare -21 and -79
  Swap -21 and -79
  List after swap: [-79, -21, -18, -4, 20, 26, 18, 32, 48, 89]
  Compare -21 and -18
  No swap needed
  Compare -18 and -4
  No swap needed
  Compare -4 and 20
  No swap needed
  Compare 20 and 26
  No swap needed
  Compare 26 and 18
  Swap 26 and 18
  List after swap: [-79, -21, -18, -4, 20, 18, 26, 32, 48, 89]

Pass 5:
  Compare -79 and -21
  No swap needed
  Compare -21 and -18
  No swap needed
  Compare -18 and -4
  No swap needed
  Compare -4 and 20
  No swap needed
  Compare 20 and 18
  Swap 20 and 18
  List after swap: [-79, -21, -18, -4, 18, 20, 26, 32, 48, 89]

Pass 6:
  Compare -79 and -21
  No swap needed
  Compare -21 and -18
  No swap needed
  Compare -18 and -4
  No swap needed
  Compare -4 and 18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -21, -18, -4, 18, 20, 26, 32, 48, 89]
</think>

<response>-79, -21, -18, -4, 18, 20, 26, 32, 48, 89</response>


input: Execute bubble sort to sort 56, 28, 5 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [56, 28, 5]

Pass 1:
  Compare 56 and 28
  Swap 56 and 28
  List after swap: [28, 56, 5]
  Compare 56 and 5
  Swap 56 and 5
  List after swap: [28, 5, 56]

Pass 2:
  Compare 28 and 5
  Swap 28 and 5
  List after swap: [5, 28, 56]

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

Final sorted list: [5, 28, 56]
</think>

<response>5, 28, 56</response>


input: Using the bubble sort method, sort -1, 4, 23, 35, 72 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-1, 4, 23, 35, 72]

Pass 1:
  Compare -1 and 4
  No swap needed
  Compare 4 and 23
  No swap needed
  Compare 23 and 35
  No swap needed
  Compare 35 and 72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-1, 4, 23, 35, 72]
</think>

<response>-1, 4, 23, 35, 72</response>


input: Using the bubble sort method, sort 61, -59, 8, -1, 7, -92, 54 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [61, -59, 8, -1, 7, -92, 54]

Pass 1:
  Compare 61 and -59
  Swap 61 and -59
  List after swap: [-59, 61, 8, -1, 7, -92, 54]
  Compare 61 and 8
  Swap 61 and 8
  List after swap: [-59, 8, 61, -1, 7, -92, 54]
  Compare 61 and -1
  Swap 61 and -1
  List after swap: [-59, 8, -1, 61, 7, -92, 54]
  Compare 61 and 7
  Swap 61 and 7
  List after swap: [-59, 8, -1, 7, 61, -92, 54]
  Compare 61 and -92
  Swap 61 and -92
  List after swap: [-59, 8, -1, 7, -92, 61, 54]
  Compare 61 and 54
  Swap 61 and 54
  List after swap: [-59, 8, -1, 7, -92, 54, 61]

Pass 2:
  Compare -59 and 8
  No swap needed
  Compare 8 and -1
  Swap 8 and -1
  List after swap: [-59, -1, 8, 7, -92, 54, 61]
  Compare 8 and 7
  Swap 8 and 7
  List after swap: [-59, -1, 7, 8, -92, 54, 61]
  Compare 8 and -92
  Swap 8 and -92
  List after swap: [-59, -1, 7, -92, 8, 54, 61]
  Compare 8 and 54
  No swap needed

Pass 3:
  Compare -59 and -1
  No swap needed
  Compare -1 and 7
  No swap needed
  Compare 7 and -92
  Swap 7 and -92
  List after swap: [-59, -1, -92, 7, 8, 54, 61]
  Compare 7 and 8
  No swap needed

Pass 4:
  Compare -59 and -1
  No swap needed
  Compare -1 and -92
  Swap -1 and -92
  List after swap: [-59, -92, -1, 7, 8, 54, 61]
  Compare -1 and 7
  No swap needed

Pass 5:
  Compare -59 and -92
  Swap -59 and -92
  List after swap: [-92, -59, -1, 7, 8, 54, 61]
  Compare -59 and -1
  No swap needed

Pass 6:
  Compare -92 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -59, -1, 7, 8, 54, 61]
</think>

<response>-92, -59, -1, 7, 8, 54, 61</response>


input: Sort the list 38, -52 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [38, -52]

Pass 1:
  Compare 38 and -52
  Swap 38 and -52
  List after swap: [-52, 38]

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

Final sorted list: [-52, 38]
</think>

<response>-52, 38</response>


input: Execute bubble sort to sort -42, 0, -35, 67, 32, -7, -20, 55, 51, 19 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-42, 0, -35, 67, 32, -7, -20, 55, 51, 19]

Pass 1:
  Compare -42 and 0
  No swap needed
  Compare 0 and -35
  Swap 0 and -35
  List after swap: [-42, -35, 0, 67, 32, -7, -20, 55, 51, 19]
  Compare 0 and 67
  No swap needed
  Compare 67 and 32
  Swap 67 and 32
  List after swap: [-42, -35, 0, 32, 67, -7, -20, 55, 51, 19]
  Compare 67 and -7
  Swap 67 and -7
  List after swap: [-42, -35, 0, 32, -7, 67, -20, 55, 51, 19]
  Compare 67 and -20
  Swap 67 and -20
  List after swap: [-42, -35, 0, 32, -7, -20, 67, 55, 51, 19]
  Compare 67 and 55
  Swap 67 and 55
  List after swap: [-42, -35, 0, 32, -7, -20, 55, 67, 51, 19]
  Compare 67 and 51
  Swap 67 and 51
  List after swap: [-42, -35, 0, 32, -7, -20, 55, 51, 67, 19]
  Compare 67 and 19
  Swap 67 and 19
  List after swap: [-42, -35, 0, 32, -7, -20, 55, 51, 19, 67]

Pass 2:
  Compare -42 and -35
  No swap needed
  Compare -35 and 0
  No swap needed
  Compare 0 and 32
  No swap needed
  Compare 32 and -7
  Swap 32 and -7
  List after swap: [-42, -35, 0, -7, 32, -20, 55, 51, 19, 67]
  Compare 32 and -20
  Swap 32 and -20
  List after swap: [-42, -35, 0, -7, -20, 32, 55, 51, 19, 67]
  Compare 32 and 55
  No swap needed
  Compare 55 and 51
  Swap 55 and 51
  List after swap: [-42, -35, 0, -7, -20, 32, 51, 55, 19, 67]
  Compare 55 and 19
  Swap 55 and 19
  List after swap: [-42, -35, 0, -7, -20, 32, 51, 19, 55, 67]

Pass 3:
  Compare -42 and -35
  No swap needed
  Compare -35 and 0
  No swap needed
  Compare 0 and -7
  Swap 0 and -7
  List after swap: [-42, -35, -7, 0, -20, 32, 51, 19, 55, 67]
  Compare 0 and -20
  Swap 0 and -20
  List after swap: [-42, -35, -7, -20, 0, 32, 51, 19, 55, 67]
  Compare 0 and 32
  No swap needed
  Compare 32 and 51
  No swap needed
  Compare 51 and 19
  Swap 51 and 19
  List after swap: [-42, -35, -7, -20, 0, 32, 19, 51, 55, 67]

Pass 4:
  Compare -42 and -35
  No swap needed
  Compare -35 and -7
  No swap needed
  Compare -7 and -20
  Swap -7 and -20
  List after swap: [-42, -35, -20, -7, 0, 32, 19, 51, 55, 67]
  Compare -7 and 0
  No swap needed
  Compare 0 and 32
  No swap needed
  Compare 32 and 19
  Swap 32 and 19
  List after swap: [-42, -35, -20, -7, 0, 19, 32, 51, 55, 67]

Pass 5:
  Compare -42 and -35
  No swap needed
  Compare -35 and -20
  No swap needed
  Compare -20 and -7
  No swap needed
  Compare -7 and 0
  No swap needed
  Compare 0 and 19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-42, -35, -20, -7, 0, 19, 32, 51, 55, 67]
</think>

<response>-42, -35, -20, -7, 0, 19, 32, 51, 55, 67</response>


input: Implement bubble sort on -51, -92, -49, 24 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-51, -92, -49, 24]

Pass 1:
  Compare -51 and -92
  Swap -51 and -92
  List after swap: [-92, -51, -49, 24]
  Compare -51 and -49
  No swap needed
  Compare -49 and 24
  No swap needed

Pass 2:
  Compare -92 and -51
  No swap needed
  Compare -51 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -51, -49, 24]
</think>

<response>-92, -51, -49, 24</response>


input: Using the bubble sort method, sort -68, -26, -86, -53, -91, -81, -29, -48, 42, -57 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-68, -26, -86, -53, -91, -81, -29, -48, 42, -57]

Pass 1:
  Compare -68 and -26
  No swap needed
  Compare -26 and -86
  Swap -26 and -86
  List after swap: [-68, -86, -26, -53, -91, -81, -29, -48, 42, -57]
  Compare -26 and -53
  Swap -26 and -53
  List after swap: [-68, -86, -53, -26, -91, -81, -29, -48, 42, -57]
  Compare -26 and -91
  Swap -26 and -91
  List after swap: [-68, -86, -53, -91, -26, -81, -29, -48, 42, -57]
  Compare -26 and -81
  Swap -26 and -81
  List after swap: [-68, -86, -53, -91, -81, -26, -29, -48, 42, -57]
  Compare -26 and -29
  Swap -26 and -29
  List after swap: [-68, -86, -53, -91, -81, -29, -26, -48, 42, -57]
  Compare -26 and -48
  Swap -26 and -48
  List after swap: [-68, -86, -53, -91, -81, -29, -48, -26, 42, -57]
  Compare -26 and 42
  No swap needed
  Compare 42 and -57
  Swap 42 and -57
  List after swap: [-68, -86, -53, -91, -81, -29, -48, -26, -57, 42]

Pass 2:
  Compare -68 and -86
  Swap -68 and -86
  List after swap: [-86, -68, -53, -91, -81, -29, -48, -26, -57, 42]
  Compare -68 and -53
  No swap needed
  Compare -53 and -91
  Swap -53 and -91
  List after swap: [-86, -68, -91, -53, -81, -29, -48, -26, -57, 42]
  Compare -53 and -81
  Swap -53 and -81
  List after swap: [-86, -68, -91, -81, -53, -29, -48, -26, -57, 42]
  Compare -53 and -29
  No swap needed
  Compare -29 and -48
  Swap -29 and -48
  List after swap: [-86, -68, -91, -81, -53, -48, -29, -26, -57, 42]
  Compare -29 and -26
  No swap needed
  Compare -26 and -57
  Swap -26 and -57
  List after swap: [-86, -68, -91, -81, -53, -48, -29, -57, -26, 42]

Pass 3:
  Compare -86 and -68
  No swap needed
  Compare -68 and -91
  Swap -68 and -91
  List after swap: [-86, -91, -68, -81, -53, -48, -29, -57, -26, 42]
  Compare -68 and -81
  Swap -68 and -81
  List after swap: [-86, -91, -81, -68, -53, -48, -29, -57, -26, 42]
  Compare -68 and -53
  No swap needed
  Compare -53 and -48
  No swap needed
  Compare -48 and -29
  No swap needed
  Compare -29 and -57
  Swap -29 and -57
  List after swap: [-86, -91, -81, -68, -53, -48, -57, -29, -26, 42]

Pass 4:
  Compare -86 and -91
  Swap -86 and -91
  List after swap: [-91, -86, -81, -68, -53, -48, -57, -29, -26, 42]
  Compare -86 and -81
  No swap needed
  Compare -81 and -68
  No swap needed
  Compare -68 and -53
  No swap needed
  Compare -53 and -48
  No swap needed
  Compare -48 and -57
  Swap -48 and -57
  List after swap: [-91, -86, -81, -68, -53, -57, -48, -29, -26, 42]

Pass 5:
  Compare -91 and -86
  No swap needed
  Compare -86 and -81
  No swap needed
  Compare -81 and -68
  No swap needed
  Compare -68 and -53
  No swap needed
  Compare -53 and -57
  Swap -53 and -57
  List after swap: [-91, -86, -81, -68, -57, -53, -48, -29, -26, 42]

Pass 6:
  Compare -91 and -86
  No swap needed
  Compare -86 and -81
  No swap needed
  Compare -81 and -68
  No swap needed
  Compare -68 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -86, -81, -68, -57, -53, -48, -29, -26, 42]
</think>

<response>-91, -86, -81, -68, -57, -53, -48, -29, -26, 42</response>


input: Sort the list -6, -77 from smallest to largest using bubble sort, and show every stage of the process.

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

Pass 1:
  Compare -6 and -77
  Swap -6 and -77
  List after swap: [-77, -6]

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

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

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


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 92, 8, -32, 34, -23, -20, 89, 69.

output:
<think>
Initial list: [92, 8, -32, 34, -23, -20, 89, 69]

Pass 1:
  Compare 92 and 8
  Swap 92 and 8
  List after swap: [8, 92, -32, 34, -23, -20, 89, 69]
  Compare 92 and -32
  Swap 92 and -32
  List after swap: [8, -32, 92, 34, -23, -20, 89, 69]
  Compare 92 and 34
  Swap 92 and 34
  List after swap: [8, -32, 34, 92, -23, -20, 89, 69]
  Compare 92 and -23
  Swap 92 and -23
  List after swap: [8, -32, 34, -23, 92, -20, 89, 69]
  Compare 92 and -20
  Swap 92 and -20
  List after swap: [8, -32, 34, -23, -20, 92, 89, 69]
  Compare 92 and 89
  Swap 92 and 89
  List after swap: [8, -32, 34, -23, -20, 89, 92, 69]
  Compare 92 and 69
  Swap 92 and 69
  List after swap: [8, -32, 34, -23, -20, 89, 69, 92]

Pass 2:
  Compare 8 and -32
  Swap 8 and -32
  List after swap: [-32, 8, 34, -23, -20, 89, 69, 92]
  Compare 8 and 34
  No swap needed
  Compare 34 and -23
  Swap 34 and -23
  List after swap: [-32, 8, -23, 34, -20, 89, 69, 92]
  Compare 34 and -20
  Swap 34 and -20
  List after swap: [-32, 8, -23, -20, 34, 89, 69, 92]
  Compare 34 and 89
  No swap needed
  Compare 89 and 69
  Swap 89 and 69
  List after swap: [-32, 8, -23, -20, 34, 69, 89, 92]

Pass 3:
  Compare -32 and 8
  No swap needed
  Compare 8 and -23
  Swap 8 and -23
  List after swap: [-32, -23, 8, -20, 34, 69, 89, 92]
  Compare 8 and -20
  Swap 8 and -20
  List after swap: [-32, -23, -20, 8, 34, 69, 89, 92]
  Compare 8 and 34
  No swap needed
  Compare 34 and 69
  No swap needed

Pass 4:
  Compare -32 and -23
  No swap needed
  Compare -23 and -20
  No swap needed
  Compare -20 and 8
  No swap needed
  Compare 8 and 34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-32, -23, -20, 8, 34, 69, 89, 92]
</think>

<response>-32, -23, -20, 8, 34, 69, 89, 92</response>


input: Carry out the bubble sort algorithm on -44, 90, -69, -64, 72, -68, 67, -98, -52, 18 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-44, 90, -69, -64, 72, -68, 67, -98, -52, 18]

Pass 1:
  Compare -44 and 90
  No swap needed
  Compare 90 and -69
  Swap 90 and -69
  List after swap: [-44, -69, 90, -64, 72, -68, 67, -98, -52, 18]
  Compare 90 and -64
  Swap 90 and -64
  List after swap: [-44, -69, -64, 90, 72, -68, 67, -98, -52, 18]
  Compare 90 and 72
  Swap 90 and 72
  List after swap: [-44, -69, -64, 72, 90, -68, 67, -98, -52, 18]
  Compare 90 and -68
  Swap 90 and -68
  List after swap: [-44, -69, -64, 72, -68, 90, 67, -98, -52, 18]
  Compare 90 and 67
  Swap 90 and 67
  List after swap: [-44, -69, -64, 72, -68, 67, 90, -98, -52, 18]
  Compare 90 and -98
  Swap 90 and -98
  List after swap: [-44, -69, -64, 72, -68, 67, -98, 90, -52, 18]
  Compare 90 and -52
  Swap 90 and -52
  List after swap: [-44, -69, -64, 72, -68, 67, -98, -52, 90, 18]
  Compare 90 and 18
  Swap 90 and 18
  List after swap: [-44, -69, -64, 72, -68, 67, -98, -52, 18, 90]

Pass 2:
  Compare -44 and -69
  Swap -44 and -69
  List after swap: [-69, -44, -64, 72, -68, 67, -98, -52, 18, 90]
  Compare -44 and -64
  Swap -44 and -64
  List after swap: [-69, -64, -44, 72, -68, 67, -98, -52, 18, 90]
  Compare -44 and 72
  No swap needed
  Compare 72 and -68
  Swap 72 and -68
  List after swap: [-69, -64, -44, -68, 72, 67, -98, -52, 18, 90]
  Compare 72 and 67
  Swap 72 and 67
  List after swap: [-69, -64, -44, -68, 67, 72, -98, -52, 18, 90]
  Compare 72 and -98
  Swap 72 and -98
  List after swap: [-69, -64, -44, -68, 67, -98, 72, -52, 18, 90]
  Compare 72 and -52
  Swap 72 and -52
  List after swap: [-69, -64, -44, -68, 67, -98, -52, 72, 18, 90]
  Compare 72 and 18
  Swap 72 and 18
  List after swap: [-69, -64, -44, -68, 67, -98, -52, 18, 72, 90]

Pass 3:
  Compare -69 and -64
  No swap needed
  Compare -64 and -44
  No swap needed
  Compare -44 and -68
  Swap -44 and -68
  List after swap: [-69, -64, -68, -44, 67, -98, -52, 18, 72, 90]
  Compare -44 and 67
  No swap needed
  Compare 67 and -98
  Swap 67 and -98
  List after swap: [-69, -64, -68, -44, -98, 67, -52, 18, 72, 90]
  Compare 67 and -52
  Swap 67 and -52
  List after swap: [-69, -64, -68, -44, -98, -52, 67, 18, 72, 90]
  Compare 67 and 18
  Swap 67 and 18
  List after swap: [-69, -64, -68, -44, -98, -52, 18, 67, 72, 90]

Pass 4:
  Compare -69 and -64
  No swap needed
  Compare -64 and -68
  Swap -64 and -68
  List after swap: [-69, -68, -64, -44, -98, -52, 18, 67, 72, 90]
  Compare -64 and -44
  No swap needed
  Compare -44 and -98
  Swap -44 and -98
  List after swap: [-69, -68, -64, -98, -44, -52, 18, 67, 72, 90]
  Compare -44 and -52
  Swap -44 and -52
  List after swap: [-69, -68, -64, -98, -52, -44, 18, 67, 72, 90]
  Compare -44 and 18
  No swap needed

Pass 5:
  Compare -69 and -68
  No swap needed
  Compare -68 and -64
  No swap needed
  Compare -64 and -98
  Swap -64 and -98
  List after swap: [-69, -68, -98, -64, -52, -44, 18, 67, 72, 90]
  Compare -64 and -52
  No swap needed
  Compare -52 and -44
  No swap needed

Pass 6:
  Compare -69 and -68
  No swap needed
  Compare -68 and -98
  Swap -68 and -98
  List after swap: [-69, -98, -68, -64, -52, -44, 18, 67, 72, 90]
  Compare -68 and -64
  No swap needed
  Compare -64 and -52
  No swap needed

Pass 7:
  Compare -69 and -98
  Swap -69 and -98
  List after swap: [-98, -69, -68, -64, -52, -44, 18, 67, 72, 90]
  Compare -69 and -68
  No swap needed
  Compare -68 and -64
  No swap needed

Pass 8:
  Compare -98 and -69
  No swap needed
  Compare -69 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -69, -68, -64, -52, -44, 18, 67, 72, 90]
</think>

<response>-98, -69, -68, -64, -52, -44, 18, 67, 72, 90</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 52, 17, -3, -31, -51, -35, 63, 2, -67, 11.

output:
<think>
Initial list: [52, 17, -3, -31, -51, -35, 63, 2, -67, 11]

Pass 1:
  Compare 52 and 17
  Swap 52 and 17
  List after swap: [17, 52, -3, -31, -51, -35, 63, 2, -67, 11]
  Compare 52 and -3
  Swap 52 and -3
  List after swap: [17, -3, 52, -31, -51, -35, 63, 2, -67, 11]
  Compare 52 and -31
  Swap 52 and -31
  List after swap: [17, -3, -31, 52, -51, -35, 63, 2, -67, 11]
  Compare 52 and -51
  Swap 52 and -51
  List after swap: [17, -3, -31, -51, 52, -35, 63, 2, -67, 11]
  Compare 52 and -35
  Swap 52 and -35
  List after swap: [17, -3, -31, -51, -35, 52, 63, 2, -67, 11]
  Compare 52 and 63
  No swap needed
  Compare 63 and 2
  Swap 63 and 2
  List after swap: [17, -3, -31, -51, -35, 52, 2, 63, -67, 11]
  Compare 63 and -67
  Swap 63 and -67
  List after swap: [17, -3, -31, -51, -35, 52, 2, -67, 63, 11]
  Compare 63 and 11
  Swap 63 and 11
  List after swap: [17, -3, -31, -51, -35, 52, 2, -67, 11, 63]

Pass 2:
  Compare 17 and -3
  Swap 17 and -3
  List after swap: [-3, 17, -31, -51, -35, 52, 2, -67, 11, 63]
  Compare 17 and -31
  Swap 17 and -31
  List after swap: [-3, -31, 17, -51, -35, 52, 2, -67, 11, 63]
  Compare 17 and -51
  Swap 17 and -51
  List after swap: [-3, -31, -51, 17, -35, 52, 2, -67, 11, 63]
  Compare 17 and -35
  Swap 17 and -35
  List after swap: [-3, -31, -51, -35, 17, 52, 2, -67, 11, 63]
  Compare 17 and 52
  No swap needed
  Compare 52 and 2
  Swap 52 and 2
  List after swap: [-3, -31, -51, -35, 17, 2, 52, -67, 11, 63]
  Compare 52 and -67
  Swap 52 and -67
  List after swap: [-3, -31, -51, -35, 17, 2, -67, 52, 11, 63]
  Compare 52 and 11
  Swap 52 and 11
  List after swap: [-3, -31, -51, -35, 17, 2, -67, 11, 52, 63]

Pass 3:
  Compare -3 and -31
  Swap -3 and -31
  List after swap: [-31, -3, -51, -35, 17, 2, -67, 11, 52, 63]
  Compare -3 and -51
  Swap -3 and -51
  List after swap: [-31, -51, -3, -35, 17, 2, -67, 11, 52, 63]
  Compare -3 and -35
  Swap -3 and -35
  List after swap: [-31, -51, -35, -3, 17, 2, -67, 11, 52, 63]
  Compare -3 and 17
  No swap needed
  Compare 17 and 2
  Swap 17 and 2
  List after swap: [-31, -51, -35, -3, 2, 17, -67, 11, 52, 63]
  Compare 17 and -67
  Swap 17 and -67
  List after swap: [-31, -51, -35, -3, 2, -67, 17, 11, 52, 63]
  Compare 17 and 11
  Swap 17 and 11
  List after swap: [-31, -51, -35, -3, 2, -67, 11, 17, 52, 63]

Pass 4:
  Compare -31 and -51
  Swap -31 and -51
  List after swap: [-51, -31, -35, -3, 2, -67, 11, 17, 52, 63]
  Compare -31 and -35
  Swap -31 and -35
  List after swap: [-51, -35, -31, -3, 2, -67, 11, 17, 52, 63]
  Compare -31 and -3
  No swap needed
  Compare -3 and 2
  No swap needed
  Compare 2 and -67
  Swap 2 and -67
  List after swap: [-51, -35, -31, -3, -67, 2, 11, 17, 52, 63]
  Compare 2 and 11
  No swap needed

Pass 5:
  Compare -51 and -35
  No swap needed
  Compare -35 and -31
  No swap needed
  Compare -31 and -3
  No swap needed
  Compare -3 and -67
  Swap -3 and -67
  List after swap: [-51, -35, -31, -67, -3, 2, 11, 17, 52, 63]
  Compare -3 and 2
  No swap needed

Pass 6:
  Compare -51 and -35
  No swap needed
  Compare -35 and -31
  No swap needed
  Compare -31 and -67
  Swap -31 and -67
  List after swap: [-51, -35, -67, -31, -3, 2, 11, 17, 52, 63]
  Compare -31 and -3
  No swap needed

Pass 7:
  Compare -51 and -35
  No swap needed
  Compare -35 and -67
  Swap -35 and -67
  List after swap: [-51, -67, -35, -31, -3, 2, 11, 17, 52, 63]
  Compare -35 and -31
  No swap needed

Pass 8:
  Compare -51 and -67
  Swap -51 and -67
  List after swap: [-67, -51, -35, -31, -3, 2, 11, 17, 52, 63]
  Compare -51 and -35
  No swap needed

Pass 9:
  Compare -67 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -51, -35, -31, -3, 2, 11, 17, 52, 63]
</think>

<response>-67, -51, -35, -31, -3, 2, 11, 17, 52, 63</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -11, -80.

output:
<think>
Initial list: [-11, -80]

Pass 1:
  Compare -11 and -80
  Swap -11 and -80
  List after swap: [-80, -11]

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

Final sorted list: [-80, -11]
</think>

<response>-80, -11</response>


input: Perform a bubble sort on the integers -43, 0, 30, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-43, 0, 30]

Pass 1:
  Compare -43 and 0
  No swap needed
  Compare 0 and 30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-43, 0, 30]
</think>

<response>-43, 0, 30</response>


input: Sort these integers 34, 99, 69, -63, 66, -20, -97 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [34, 99, 69, -63, 66, -20, -97]

Pass 1:
  Compare 34 and 99
  No swap needed
  Compare 99 and 69
  Swap 99 and 69
  List after swap: [34, 69, 99, -63, 66, -20, -97]
  Compare 99 and -63
  Swap 99 and -63
  List after swap: [34, 69, -63, 99, 66, -20, -97]
  Compare 99 and 66
  Swap 99 and 66
  List after swap: [34, 69, -63, 66, 99, -20, -97]
  Compare 99 and -20
  Swap 99 and -20
  List after swap: [34, 69, -63, 66, -20, 99, -97]
  Compare 99 and -97
  Swap 99 and -97
  List after swap: [34, 69, -63, 66, -20, -97, 99]

Pass 2:
  Compare 34 and 69
  No swap needed
  Compare 69 and -63
  Swap 69 and -63
  List after swap: [34, -63, 69, 66, -20, -97, 99]
  Compare 69 and 66
  Swap 69 and 66
  List after swap: [34, -63, 66, 69, -20, -97, 99]
  Compare 69 and -20
  Swap 69 and -20
  List after swap: [34, -63, 66, -20, 69, -97, 99]
  Compare 69 and -97
  Swap 69 and -97
  List after swap: [34, -63, 66, -20, -97, 69, 99]

Pass 3:
  Compare 34 and -63
  Swap 34 and -63
  List after swap: [-63, 34, 66, -20, -97, 69, 99]
  Compare 34 and 66
  No swap needed
  Compare 66 and -20
  Swap 66 and -20
  List after swap: [-63, 34, -20, 66, -97, 69, 99]
  Compare 66 and -97
  Swap 66 and -97
  List after swap: [-63, 34, -20, -97, 66, 69, 99]

Pass 4:
  Compare -63 and 34
  No swap needed
  Compare 34 and -20
  Swap 34 and -20
  List after swap: [-63, -20, 34, -97, 66, 69, 99]
  Compare 34 and -97
  Swap 34 and -97
  List after swap: [-63, -20, -97, 34, 66, 69, 99]

Pass 5:
  Compare -63 and -20
  No swap needed
  Compare -20 and -97
  Swap -20 and -97
  List after swap: [-63, -97, -20, 34, 66, 69, 99]

Pass 6:
  Compare -63 and -97
  Swap -63 and -97
  List after swap: [-97, -63, -20, 34, 66, 69, 99]

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

Final sorted list: [-97, -63, -20, 34, 66, 69, 99]
</think>

<response>-97, -63, -20, 34, 66, 69, 99</response>


input: Perform a bubble sort on the integers 98, -67, -51, 13, -7, -88, 40, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [98, -67, -51, 13, -7, -88, 40]

Pass 1:
  Compare 98 and -67
  Swap 98 and -67
  List after swap: [-67, 98, -51, 13, -7, -88, 40]
  Compare 98 and -51
  Swap 98 and -51
  List after swap: [-67, -51, 98, 13, -7, -88, 40]
  Compare 98 and 13
  Swap 98 and 13
  List after swap: [-67, -51, 13, 98, -7, -88, 40]
  Compare 98 and -7
  Swap 98 and -7
  List after swap: [-67, -51, 13, -7, 98, -88, 40]
  Compare 98 and -88
  Swap 98 and -88
  List after swap: [-67, -51, 13, -7, -88, 98, 40]
  Compare 98 and 40
  Swap 98 and 40
  List after swap: [-67, -51, 13, -7, -88, 40, 98]

Pass 2:
  Compare -67 and -51
  No swap needed
  Compare -51 and 13
  No swap needed
  Compare 13 and -7
  Swap 13 and -7
  List after swap: [-67, -51, -7, 13, -88, 40, 98]
  Compare 13 and -88
  Swap 13 and -88
  List after swap: [-67, -51, -7, -88, 13, 40, 98]
  Compare 13 and 40
  No swap needed

Pass 3:
  Compare -67 and -51
  No swap needed
  Compare -51 and -7
  No swap needed
  Compare -7 and -88
  Swap -7 and -88
  List after swap: [-67, -51, -88, -7, 13, 40, 98]
  Compare -7 and 13
  No swap needed

Pass 4:
  Compare -67 and -51
  No swap needed
  Compare -51 and -88
  Swap -51 and -88
  List after swap: [-67, -88, -51, -7, 13, 40, 98]
  Compare -51 and -7
  No swap needed

Pass 5:
  Compare -67 and -88
  Swap -67 and -88
  List after swap: [-88, -67, -51, -7, 13, 40, 98]
  Compare -67 and -51
  No swap needed

Pass 6:
  Compare -88 and -67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -67, -51, -7, 13, 40, 98]
</think>

<response>-88, -67, -51, -7, 13, 40, 98</response>


input: Execute bubble sort to sort -77, 16, 99, -51, -20, 73 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-77, 16, 99, -51, -20, 73]

Pass 1:
  Compare -77 and 16
  No swap needed
  Compare 16 and 99
  No swap needed
  Compare 99 and -51
  Swap 99 and -51
  List after swap: [-77, 16, -51, 99, -20, 73]
  Compare 99 and -20
  Swap 99 and -20
  List after swap: [-77, 16, -51, -20, 99, 73]
  Compare 99 and 73
  Swap 99 and 73
  List after swap: [-77, 16, -51, -20, 73, 99]

Pass 2:
  Compare -77 and 16
  No swap needed
  Compare 16 and -51
  Swap 16 and -51
  List after swap: [-77, -51, 16, -20, 73, 99]
  Compare 16 and -20
  Swap 16 and -20
  List after swap: [-77, -51, -20, 16, 73, 99]
  Compare 16 and 73
  No swap needed

Pass 3:
  Compare -77 and -51
  No swap needed
  Compare -51 and -20
  No swap needed
  Compare -20 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -51, -20, 16, 73, 99]
</think>

<response>-77, -51, -20, 16, 73, 99</response>


input: Using the bubble sort method, sort 89, 25, -52, 68, 22, 99, -43, -92, -8 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [89, 25, -52, 68, 22, 99, -43, -92, -8]

Pass 1:
  Compare 89 and 25
  Swap 89 and 25
  List after swap: [25, 89, -52, 68, 22, 99, -43, -92, -8]
  Compare 89 and -52
  Swap 89 and -52
  List after swap: [25, -52, 89, 68, 22, 99, -43, -92, -8]
  Compare 89 and 68
  Swap 89 and 68
  List after swap: [25, -52, 68, 89, 22, 99, -43, -92, -8]
  Compare 89 and 22
  Swap 89 and 22
  List after swap: [25, -52, 68, 22, 89, 99, -43, -92, -8]
  Compare 89 and 99
  No swap needed
  Compare 99 and -43
  Swap 99 and -43
  List after swap: [25, -52, 68, 22, 89, -43, 99, -92, -8]
  Compare 99 and -92
  Swap 99 and -92
  List after swap: [25, -52, 68, 22, 89, -43, -92, 99, -8]
  Compare 99 and -8
  Swap 99 and -8
  List after swap: [25, -52, 68, 22, 89, -43, -92, -8, 99]

Pass 2:
  Compare 25 and -52
  Swap 25 and -52
  List after swap: [-52, 25, 68, 22, 89, -43, -92, -8, 99]
  Compare 25 and 68
  No swap needed
  Compare 68 and 22
  Swap 68 and 22
  List after swap: [-52, 25, 22, 68, 89, -43, -92, -8, 99]
  Compare 68 and 89
  No swap needed
  Compare 89 and -43
  Swap 89 and -43
  List after swap: [-52, 25, 22, 68, -43, 89, -92, -8, 99]
  Compare 89 and -92
  Swap 89 and -92
  List after swap: [-52, 25, 22, 68, -43, -92, 89, -8, 99]
  Compare 89 and -8
  Swap 89 and -8
  List after swap: [-52, 25, 22, 68, -43, -92, -8, 89, 99]

Pass 3:
  Compare -52 and 25
  No swap needed
  Compare 25 and 22
  Swap 25 and 22
  List after swap: [-52, 22, 25, 68, -43, -92, -8, 89, 99]
  Compare 25 and 68
  No swap needed
  Compare 68 and -43
  Swap 68 and -43
  List after swap: [-52, 22, 25, -43, 68, -92, -8, 89, 99]
  Compare 68 and -92
  Swap 68 and -92
  List after swap: [-52, 22, 25, -43, -92, 68, -8, 89, 99]
  Compare 68 and -8
  Swap 68 and -8
  List after swap: [-52, 22, 25, -43, -92, -8, 68, 89, 99]

Pass 4:
  Compare -52 and 22
  No swap needed
  Compare 22 and 25
  No swap needed
  Compare 25 and -43
  Swap 25 and -43
  List after swap: [-52, 22, -43, 25, -92, -8, 68, 89, 99]
  Compare 25 and -92
  Swap 25 and -92
  List after swap: [-52, 22, -43, -92, 25, -8, 68, 89, 99]
  Compare 25 and -8
  Swap 25 and -8
  List after swap: [-52, 22, -43, -92, -8, 25, 68, 89, 99]

Pass 5:
  Compare -52 and 22
  No swap needed
  Compare 22 and -43
  Swap 22 and -43
  List after swap: [-52, -43, 22, -92, -8, 25, 68, 89, 99]
  Compare 22 and -92
  Swap 22 and -92
  List after swap: [-52, -43, -92, 22, -8, 25, 68, 89, 99]
  Compare 22 and -8
  Swap 22 and -8
  List after swap: [-52, -43, -92, -8, 22, 25, 68, 89, 99]

Pass 6:
  Compare -52 and -43
  No swap needed
  Compare -43 and -92
  Swap -43 and -92
  List after swap: [-52, -92, -43, -8, 22, 25, 68, 89, 99]
  Compare -43 and -8
  No swap needed

Pass 7:
  Compare -52 and -92
  Swap -52 and -92
  List after swap: [-92, -52, -43, -8, 22, 25, 68, 89, 99]
  Compare -52 and -43
  No swap needed

Pass 8:
  Compare -92 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -52, -43, -8, 22, 25, 68, 89, 99]
</think>

<response>-92, -52, -43, -8, 22, 25, 68, 89, 99</response>


input: Demonstrate how bubble sort orders the integers -94, -43 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-94, -43]

Pass 1:
  Compare -94 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -43]
</think>

<response>-94, -43</response>


input: Use the bubble sort technique to reorder -39, -76, -72, 33 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-39, -76, -72, 33]

Pass 1:
  Compare -39 and -76
  Swap -39 and -76
  List after swap: [-76, -39, -72, 33]
  Compare -39 and -72
  Swap -39 and -72
  List after swap: [-76, -72, -39, 33]
  Compare -39 and 33
  No swap needed

Pass 2:
  Compare -76 and -72
  No swap needed
  Compare -72 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -72, -39, 33]
</think>

<response>-76, -72, -39, 33</response>


input: Using the bubble sort method, sort 46, -81, 24, 39, 52, -96, -2 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [46, -81, 24, 39, 52, -96, -2]

Pass 1:
  Compare 46 and -81
  Swap 46 and -81
  List after swap: [-81, 46, 24, 39, 52, -96, -2]
  Compare 46 and 24
  Swap 46 and 24
  List after swap: [-81, 24, 46, 39, 52, -96, -2]
  Compare 46 and 39
  Swap 46 and 39
  List after swap: [-81, 24, 39, 46, 52, -96, -2]
  Compare 46 and 52
  No swap needed
  Compare 52 and -96
  Swap 52 and -96
  List after swap: [-81, 24, 39, 46, -96, 52, -2]
  Compare 52 and -2
  Swap 52 and -2
  List after swap: [-81, 24, 39, 46, -96, -2, 52]

Pass 2:
  Compare -81 and 24
  No swap needed
  Compare 24 and 39
  No swap needed
  Compare 39 and 46
  No swap needed
  Compare 46 and -96
  Swap 46 and -96
  List after swap: [-81, 24, 39, -96, 46, -2, 52]
  Compare 46 and -2
  Swap 46 and -2
  List after swap: [-81, 24, 39, -96, -2, 46, 52]

Pass 3:
  Compare -81 and 24
  No swap needed
  Compare 24 and 39
  No swap needed
  Compare 39 and -96
  Swap 39 and -96
  List after swap: [-81, 24, -96, 39, -2, 46, 52]
  Compare 39 and -2
  Swap 39 and -2
  List after swap: [-81, 24, -96, -2, 39, 46, 52]

Pass 4:
  Compare -81 and 24
  No swap needed
  Compare 24 and -96
  Swap 24 and -96
  List after swap: [-81, -96, 24, -2, 39, 46, 52]
  Compare 24 and -2
  Swap 24 and -2
  List after swap: [-81, -96, -2, 24, 39, 46, 52]

Pass 5:
  Compare -81 and -96
  Swap -81 and -96
  List after swap: [-96, -81, -2, 24, 39, 46, 52]
  Compare -81 and -2
  No swap needed

Pass 6:
  Compare -96 and -81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -81, -2, 24, 39, 46, 52]
</think>

<response>-96, -81, -2, 24, 39, 46, 52</response>


input: Arrange the numbers 55, -17, -40, 27, 39, 61, 70, -8 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [55, -17, -40, 27, 39, 61, 70, -8]

Pass 1:
  Compare 55 and -17
  Swap 55 and -17
  List after swap: [-17, 55, -40, 27, 39, 61, 70, -8]
  Compare 55 and -40
  Swap 55 and -40
  List after swap: [-17, -40, 55, 27, 39, 61, 70, -8]
  Compare 55 and 27
  Swap 55 and 27
  List after swap: [-17, -40, 27, 55, 39, 61, 70, -8]
  Compare 55 and 39
  Swap 55 and 39
  List after swap: [-17, -40, 27, 39, 55, 61, 70, -8]
  Compare 55 and 61
  No swap needed
  Compare 61 and 70
  No swap needed
  Compare 70 and -8
  Swap 70 and -8
  List after swap: [-17, -40, 27, 39, 55, 61, -8, 70]

Pass 2:
  Compare -17 and -40
  Swap -17 and -40
  List after swap: [-40, -17, 27, 39, 55, 61, -8, 70]
  Compare -17 and 27
  No swap needed
  Compare 27 and 39
  No swap needed
  Compare 39 and 55
  No swap needed
  Compare 55 and 61
  No swap needed
  Compare 61 and -8
  Swap 61 and -8
  List after swap: [-40, -17, 27, 39, 55, -8, 61, 70]

Pass 3:
  Compare -40 and -17
  No swap needed
  Compare -17 and 27
  No swap needed
  Compare 27 and 39
  No swap needed
  Compare 39 and 55
  No swap needed
  Compare 55 and -8
  Swap 55 and -8
  List after swap: [-40, -17, 27, 39, -8, 55, 61, 70]

Pass 4:
  Compare -40 and -17
  No swap needed
  Compare -17 and 27
  No swap needed
  Compare 27 and 39
  No swap needed
  Compare 39 and -8
  Swap 39 and -8
  List after swap: [-40, -17, 27, -8, 39, 55, 61, 70]

Pass 5:
  Compare -40 and -17
  No swap needed
  Compare -17 and 27
  No swap needed
  Compare 27 and -8
  Swap 27 and -8
  List after swap: [-40, -17, -8, 27, 39, 55, 61, 70]

Pass 6:
  Compare -40 and -17
  No swap needed
  Compare -17 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-40, -17, -8, 27, 39, 55, 61, 70]
</think>

<response>-40, -17, -8, 27, 39, 55, 61, 70</response>


input: Perform a bubble sort on the integers -31, -79, 38, 44, -95, -65, 84, -48, -47, -37, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-31, -79, 38, 44, -95, -65, 84, -48, -47, -37]

Pass 1:
  Compare -31 and -79
  Swap -31 and -79
  List after swap: [-79, -31, 38, 44, -95, -65, 84, -48, -47, -37]
  Compare -31 and 38
  No swap needed
  Compare 38 and 44
  No swap needed
  Compare 44 and -95
  Swap 44 and -95
  List after swap: [-79, -31, 38, -95, 44, -65, 84, -48, -47, -37]
  Compare 44 and -65
  Swap 44 and -65
  List after swap: [-79, -31, 38, -95, -65, 44, 84, -48, -47, -37]
  Compare 44 and 84
  No swap needed
  Compare 84 and -48
  Swap 84 and -48
  List after swap: [-79, -31, 38, -95, -65, 44, -48, 84, -47, -37]
  Compare 84 and -47
  Swap 84 and -47
  List after swap: [-79, -31, 38, -95, -65, 44, -48, -47, 84, -37]
  Compare 84 and -37
  Swap 84 and -37
  List after swap: [-79, -31, 38, -95, -65, 44, -48, -47, -37, 84]

Pass 2:
  Compare -79 and -31
  No swap needed
  Compare -31 and 38
  No swap needed
  Compare 38 and -95
  Swap 38 and -95
  List after swap: [-79, -31, -95, 38, -65, 44, -48, -47, -37, 84]
  Compare 38 and -65
  Swap 38 and -65
  List after swap: [-79, -31, -95, -65, 38, 44, -48, -47, -37, 84]
  Compare 38 and 44
  No swap needed
  Compare 44 and -48
  Swap 44 and -48
  List after swap: [-79, -31, -95, -65, 38, -48, 44, -47, -37, 84]
  Compare 44 and -47
  Swap 44 and -47
  List after swap: [-79, -31, -95, -65, 38, -48, -47, 44, -37, 84]
  Compare 44 and -37
  Swap 44 and -37
  List after swap: [-79, -31, -95, -65, 38, -48, -47, -37, 44, 84]

Pass 3:
  Compare -79 and -31
  No swap needed
  Compare -31 and -95
  Swap -31 and -95
  List after swap: [-79, -95, -31, -65, 38, -48, -47, -37, 44, 84]
  Compare -31 and -65
  Swap -31 and -65
  List after swap: [-79, -95, -65, -31, 38, -48, -47, -37, 44, 84]
  Compare -31 and 38
  No swap needed
  Compare 38 and -48
  Swap 38 and -48
  List after swap: [-79, -95, -65, -31, -48, 38, -47, -37, 44, 84]
  Compare 38 and -47
  Swap 38 and -47
  List after swap: [-79, -95, -65, -31, -48, -47, 38, -37, 44, 84]
  Compare 38 and -37
  Swap 38 and -37
  List after swap: [-79, -95, -65, -31, -48, -47, -37, 38, 44, 84]

Pass 4:
  Compare -79 and -95
  Swap -79 and -95
  List after swap: [-95, -79, -65, -31, -48, -47, -37, 38, 44, 84]
  Compare -79 and -65
  No swap needed
  Compare -65 and -31
  No swap needed
  Compare -31 and -48
  Swap -31 and -48
  List after swap: [-95, -79, -65, -48, -31, -47, -37, 38, 44, 84]
  Compare -31 and -47
  Swap -31 and -47
  List after swap: [-95, -79, -65, -48, -47, -31, -37, 38, 44, 84]
  Compare -31 and -37
  Swap -31 and -37
  List after swap: [-95, -79, -65, -48, -47, -37, -31, 38, 44, 84]

Pass 5:
  Compare -95 and -79
  No swap needed
  Compare -79 and -65
  No swap needed
  Compare -65 and -48
  No swap needed
  Compare -48 and -47
  No swap needed
  Compare -47 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -79, -65, -48, -47, -37, -31, 38, 44, 84]
</think>

<response>-95, -79, -65, -48, -47, -37, -31, 38, 44, 84</response>


input: Perform a bubble sort on the integers 88, -92, -88, 24, 81, 46, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [88, -92, -88, 24, 81, 46]

Pass 1:
  Compare 88 and -92
  Swap 88 and -92
  List after swap: [-92, 88, -88, 24, 81, 46]
  Compare 88 and -88
  Swap 88 and -88
  List after swap: [-92, -88, 88, 24, 81, 46]
  Compare 88 and 24
  Swap 88 and 24
  List after swap: [-92, -88, 24, 88, 81, 46]
  Compare 88 and 81
  Swap 88 and 81
  List after swap: [-92, -88, 24, 81, 88, 46]
  Compare 88 and 46
  Swap 88 and 46
  List after swap: [-92, -88, 24, 81, 46, 88]

Pass 2:
  Compare -92 and -88
  No swap needed
  Compare -88 and 24
  No swap needed
  Compare 24 and 81
  No swap needed
  Compare 81 and 46
  Swap 81 and 46
  List after swap: [-92, -88, 24, 46, 81, 88]

Pass 3:
  Compare -92 and -88
  No swap needed
  Compare -88 and 24
  No swap needed
  Compare 24 and 46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -88, 24, 46, 81, 88]
</think>

<response>-92, -88, 24, 46, 81, 88</response>


input: Demonstrate how bubble sort orders the integers 7, 5, 97, 65, -86 in ascending sequence, showing all steps.

output:
<think>
Initial list: [7, 5, 97, 65, -86]

Pass 1:
  Compare 7 and 5
  Swap 7 and 5
  List after swap: [5, 7, 97, 65, -86]
  Compare 7 and 97
  No swap needed
  Compare 97 and 65
  Swap 97 and 65
  List after swap: [5, 7, 65, 97, -86]
  Compare 97 and -86
  Swap 97 and -86
  List after swap: [5, 7, 65, -86, 97]

Pass 2:
  Compare 5 and 7
  No swap needed
  Compare 7 and 65
  No swap needed
  Compare 65 and -86
  Swap 65 and -86
  List after swap: [5, 7, -86, 65, 97]

Pass 3:
  Compare 5 and 7
  No swap needed
  Compare 7 and -86
  Swap 7 and -86
  List after swap: [5, -86, 7, 65, 97]

Pass 4:
  Compare 5 and -86
  Swap 5 and -86
  List after swap: [-86, 5, 7, 65, 97]

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

Final sorted list: [-86, 5, 7, 65, 97]
</think>

<response>-86, 5, 7, 65, 97</response>


input: Using the bubble sort method, sort -24, 17, 28, -40, -7 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-24, 17, 28, -40, -7]

Pass 1:
  Compare -24 and 17
  No swap needed
  Compare 17 and 28
  No swap needed
  Compare 28 and -40
  Swap 28 and -40
  List after swap: [-24, 17, -40, 28, -7]
  Compare 28 and -7
  Swap 28 and -7
  List after swap: [-24, 17, -40, -7, 28]

Pass 2:
  Compare -24 and 17
  No swap needed
  Compare 17 and -40
  Swap 17 and -40
  List after swap: [-24, -40, 17, -7, 28]
  Compare 17 and -7
  Swap 17 and -7
  List after swap: [-24, -40, -7, 17, 28]

Pass 3:
  Compare -24 and -40
  Swap -24 and -40
  List after swap: [-40, -24, -7, 17, 28]
  Compare -24 and -7
  No swap needed

Pass 4:
  Compare -40 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-40, -24, -7, 17, 28]
</think>

<response>-40, -24, -7, 17, 28</response>


input: Carry out the bubble sort algorithm on 5, 27, -23, -92, -33, -73, 64, -36 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [5, 27, -23, -92, -33, -73, 64, -36]

Pass 1:
  Compare 5 and 27
  No swap needed
  Compare 27 and -23
  Swap 27 and -23
  List after swap: [5, -23, 27, -92, -33, -73, 64, -36]
  Compare 27 and -92
  Swap 27 and -92
  List after swap: [5, -23, -92, 27, -33, -73, 64, -36]
  Compare 27 and -33
  Swap 27 and -33
  List after swap: [5, -23, -92, -33, 27, -73, 64, -36]
  Compare 27 and -73
  Swap 27 and -73
  List after swap: [5, -23, -92, -33, -73, 27, 64, -36]
  Compare 27 and 64
  No swap needed
  Compare 64 and -36
  Swap 64 and -36
  List after swap: [5, -23, -92, -33, -73, 27, -36, 64]

Pass 2:
  Compare 5 and -23
  Swap 5 and -23
  List after swap: [-23, 5, -92, -33, -73, 27, -36, 64]
  Compare 5 and -92
  Swap 5 and -92
  List after swap: [-23, -92, 5, -33, -73, 27, -36, 64]
  Compare 5 and -33
  Swap 5 and -33
  List after swap: [-23, -92, -33, 5, -73, 27, -36, 64]
  Compare 5 and -73
  Swap 5 and -73
  List after swap: [-23, -92, -33, -73, 5, 27, -36, 64]
  Compare 5 and 27
  No swap needed
  Compare 27 and -36
  Swap 27 and -36
  List after swap: [-23, -92, -33, -73, 5, -36, 27, 64]

Pass 3:
  Compare -23 and -92
  Swap -23 and -92
  List after swap: [-92, -23, -33, -73, 5, -36, 27, 64]
  Compare -23 and -33
  Swap -23 and -33
  List after swap: [-92, -33, -23, -73, 5, -36, 27, 64]
  Compare -23 and -73
  Swap -23 and -73
  List after swap: [-92, -33, -73, -23, 5, -36, 27, 64]
  Compare -23 and 5
  No swap needed
  Compare 5 and -36
  Swap 5 and -36
  List after swap: [-92, -33, -73, -23, -36, 5, 27, 64]

Pass 4:
  Compare -92 and -33
  No swap needed
  Compare -33 and -73
  Swap -33 and -73
  List after swap: [-92, -73, -33, -23, -36, 5, 27, 64]
  Compare -33 and -23
  No swap needed
  Compare -23 and -36
  Swap -23 and -36
  List after swap: [-92, -73, -33, -36, -23, 5, 27, 64]

Pass 5:
  Compare -92 and -73
  No swap needed
  Compare -73 and -33
  No swap needed
  Compare -33 and -36
  Swap -33 and -36
  List after swap: [-92, -73, -36, -33, -23, 5, 27, 64]

Pass 6:
  Compare -92 and -73
  No swap needed
  Compare -73 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -73, -36, -33, -23, 5, 27, 64]
</think>

<response>-92, -73, -36, -33, -23, 5, 27, 64</response>


input: Using the bubble sort method, sort -58, 65, 5, -88, 15, -30 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-58, 65, 5, -88, 15, -30]

Pass 1:
  Compare -58 and 65
  No swap needed
  Compare 65 and 5
  Swap 65 and 5
  List after swap: [-58, 5, 65, -88, 15, -30]
  Compare 65 and -88
  Swap 65 and -88
  List after swap: [-58, 5, -88, 65, 15, -30]
  Compare 65 and 15
  Swap 65 and 15
  List after swap: [-58, 5, -88, 15, 65, -30]
  Compare 65 and -30
  Swap 65 and -30
  List after swap: [-58, 5, -88, 15, -30, 65]

Pass 2:
  Compare -58 and 5
  No swap needed
  Compare 5 and -88
  Swap 5 and -88
  List after swap: [-58, -88, 5, 15, -30, 65]
  Compare 5 and 15
  No swap needed
  Compare 15 and -30
  Swap 15 and -30
  List after swap: [-58, -88, 5, -30, 15, 65]

Pass 3:
  Compare -58 and -88
  Swap -58 and -88
  List after swap: [-88, -58, 5, -30, 15, 65]
  Compare -58 and 5
  No swap needed
  Compare 5 and -30
  Swap 5 and -30
  List after swap: [-88, -58, -30, 5, 15, 65]

Pass 4:
  Compare -88 and -58
  No swap needed
  Compare -58 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -58, -30, 5, 15, 65]
</think>

<response>-88, -58, -30, 5, 15, 65</response>


input: Sort the list -56, 80 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-56, 80]

Pass 1:
  Compare -56 and 80
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, 80]
</think>

<response>-56, 80</response>


input: Perform a bubble sort on the integers 20, -90, 64, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [20, -90, 64]

Pass 1:
  Compare 20 and -90
  Swap 20 and -90
  List after swap: [-90, 20, 64]
  Compare 20 and 64
  No swap needed

Pass 2:
  Compare -90 and 20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, 20, 64]
</think>

<response>-90, 20, 64</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 38, -90.

output:
<think>
Initial list: [38, -90]

Pass 1:
  Compare 38 and -90
  Swap 38 and -90
  List after swap: [-90, 38]

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

Final sorted list: [-90, 38]
</think>

<response>-90, 38</response>


input: Implement bubble sort on -53, 97, 60, -8, -48 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-53, 97, 60, -8, -48]

Pass 1:
  Compare -53 and 97
  No swap needed
  Compare 97 and 60
  Swap 97 and 60
  List after swap: [-53, 60, 97, -8, -48]
  Compare 97 and -8
  Swap 97 and -8
  List after swap: [-53, 60, -8, 97, -48]
  Compare 97 and -48
  Swap 97 and -48
  List after swap: [-53, 60, -8, -48, 97]

Pass 2:
  Compare -53 and 60
  No swap needed
  Compare 60 and -8
  Swap 60 and -8
  List after swap: [-53, -8, 60, -48, 97]
  Compare 60 and -48
  Swap 60 and -48
  List after swap: [-53, -8, -48, 60, 97]

Pass 3:
  Compare -53 and -8
  No swap needed
  Compare -8 and -48
  Swap -8 and -48
  List after swap: [-53, -48, -8, 60, 97]

Pass 4:
  Compare -53 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-53, -48, -8, 60, 97]
</think>

<response>-53, -48, -8, 60, 97</response>


input: Execute bubble sort to sort -21, -50, 15, -28, -24, 35, 82, 2, 97, 71 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-21, -50, 15, -28, -24, 35, 82, 2, 97, 71]

Pass 1:
  Compare -21 and -50
  Swap -21 and -50
  List after swap: [-50, -21, 15, -28, -24, 35, 82, 2, 97, 71]
  Compare -21 and 15
  No swap needed
  Compare 15 and -28
  Swap 15 and -28
  List after swap: [-50, -21, -28, 15, -24, 35, 82, 2, 97, 71]
  Compare 15 and -24
  Swap 15 and -24
  List after swap: [-50, -21, -28, -24, 15, 35, 82, 2, 97, 71]
  Compare 15 and 35
  No swap needed
  Compare 35 and 82
  No swap needed
  Compare 82 and 2
  Swap 82 and 2
  List after swap: [-50, -21, -28, -24, 15, 35, 2, 82, 97, 71]
  Compare 82 and 97
  No swap needed
  Compare 97 and 71
  Swap 97 and 71
  List after swap: [-50, -21, -28, -24, 15, 35, 2, 82, 71, 97]

Pass 2:
  Compare -50 and -21
  No swap needed
  Compare -21 and -28
  Swap -21 and -28
  List after swap: [-50, -28, -21, -24, 15, 35, 2, 82, 71, 97]
  Compare -21 and -24
  Swap -21 and -24
  List after swap: [-50, -28, -24, -21, 15, 35, 2, 82, 71, 97]
  Compare -21 and 15
  No swap needed
  Compare 15 and 35
  No swap needed
  Compare 35 and 2
  Swap 35 and 2
  List after swap: [-50, -28, -24, -21, 15, 2, 35, 82, 71, 97]
  Compare 35 and 82
  No swap needed
  Compare 82 and 71
  Swap 82 and 71
  List after swap: [-50, -28, -24, -21, 15, 2, 35, 71, 82, 97]

Pass 3:
  Compare -50 and -28
  No swap needed
  Compare -28 and -24
  No swap needed
  Compare -24 and -21
  No swap needed
  Compare -21 and 15
  No swap needed
  Compare 15 and 2
  Swap 15 and 2
  List after swap: [-50, -28, -24, -21, 2, 15, 35, 71, 82, 97]
  Compare 15 and 35
  No swap needed
  Compare 35 and 71
  No swap needed

Pass 4:
  Compare -50 and -28
  No swap needed
  Compare -28 and -24
  No swap needed
  Compare -24 and -21
  No swap needed
  Compare -21 and 2
  No swap needed
  Compare 2 and 15
  No swap needed
  Compare 15 and 35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, -28, -24, -21, 2, 15, 35, 71, 82, 97]
</think>

<response>-50, -28, -24, -21, 2, 15, 35, 71, 82, 97</response>


input: Sort the list 79, 23 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [79, 23]

Pass 1:
  Compare 79 and 23
  Swap 79 and 23
  List after swap: [23, 79]

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

Final sorted list: [23, 79]
</think>

<response>23, 79</response>


input: Using the bubble sort method, sort -27, 91, 63, -58, -40, -79 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-27, 91, 63, -58, -40, -79]

Pass 1:
  Compare -27 and 91
  No swap needed
  Compare 91 and 63
  Swap 91 and 63
  List after swap: [-27, 63, 91, -58, -40, -79]
  Compare 91 and -58
  Swap 91 and -58
  List after swap: [-27, 63, -58, 91, -40, -79]
  Compare 91 and -40
  Swap 91 and -40
  List after swap: [-27, 63, -58, -40, 91, -79]
  Compare 91 and -79
  Swap 91 and -79
  List after swap: [-27, 63, -58, -40, -79, 91]

Pass 2:
  Compare -27 and 63
  No swap needed
  Compare 63 and -58
  Swap 63 and -58
  List after swap: [-27, -58, 63, -40, -79, 91]
  Compare 63 and -40
  Swap 63 and -40
  List after swap: [-27, -58, -40, 63, -79, 91]
  Compare 63 and -79
  Swap 63 and -79
  List after swap: [-27, -58, -40, -79, 63, 91]

Pass 3:
  Compare -27 and -58
  Swap -27 and -58
  List after swap: [-58, -27, -40, -79, 63, 91]
  Compare -27 and -40
  Swap -27 and -40
  List after swap: [-58, -40, -27, -79, 63, 91]
  Compare -27 and -79
  Swap -27 and -79
  List after swap: [-58, -40, -79, -27, 63, 91]

Pass 4:
  Compare -58 and -40
  No swap needed
  Compare -40 and -79
  Swap -40 and -79
  List after swap: [-58, -79, -40, -27, 63, 91]

Pass 5:
  Compare -58 and -79
  Swap -58 and -79
  List after swap: [-79, -58, -40, -27, 63, 91]

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

Final sorted list: [-79, -58, -40, -27, 63, 91]
</think>

<response>-79, -58, -40, -27, 63, 91</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 21, 8, -76, -42, 46, 60.

output:
<think>
Initial list: [21, 8, -76, -42, 46, 60]

Pass 1:
  Compare 21 and 8
  Swap 21 and 8
  List after swap: [8, 21, -76, -42, 46, 60]
  Compare 21 and -76
  Swap 21 and -76
  List after swap: [8, -76, 21, -42, 46, 60]
  Compare 21 and -42
  Swap 21 and -42
  List after swap: [8, -76, -42, 21, 46, 60]
  Compare 21 and 46
  No swap needed
  Compare 46 and 60
  No swap needed

Pass 2:
  Compare 8 and -76
  Swap 8 and -76
  List after swap: [-76, 8, -42, 21, 46, 60]
  Compare 8 and -42
  Swap 8 and -42
  List after swap: [-76, -42, 8, 21, 46, 60]
  Compare 8 and 21
  No swap needed
  Compare 21 and 46
  No swap needed

Pass 3:
  Compare -76 and -42
  No swap needed
  Compare -42 and 8
  No swap needed
  Compare 8 and 21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -42, 8, 21, 46, 60]
</think>

<response>-76, -42, 8, 21, 46, 60</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -81, -25, 30, -29, -97, -57, -21, -90, 66, -61.

output:
<think>
Initial list: [-81, -25, 30, -29, -97, -57, -21, -90, 66, -61]

Pass 1:
  Compare -81 and -25
  No swap needed
  Compare -25 and 30
  No swap needed
  Compare 30 and -29
  Swap 30 and -29
  List after swap: [-81, -25, -29, 30, -97, -57, -21, -90, 66, -61]
  Compare 30 and -97
  Swap 30 and -97
  List after swap: [-81, -25, -29, -97, 30, -57, -21, -90, 66, -61]
  Compare 30 and -57
  Swap 30 and -57
  List after swap: [-81, -25, -29, -97, -57, 30, -21, -90, 66, -61]
  Compare 30 and -21
  Swap 30 and -21
  List after swap: [-81, -25, -29, -97, -57, -21, 30, -90, 66, -61]
  Compare 30 and -90
  Swap 30 and -90
  List after swap: [-81, -25, -29, -97, -57, -21, -90, 30, 66, -61]
  Compare 30 and 66
  No swap needed
  Compare 66 and -61
  Swap 66 and -61
  List after swap: [-81, -25, -29, -97, -57, -21, -90, 30, -61, 66]

Pass 2:
  Compare -81 and -25
  No swap needed
  Compare -25 and -29
  Swap -25 and -29
  List after swap: [-81, -29, -25, -97, -57, -21, -90, 30, -61, 66]
  Compare -25 and -97
  Swap -25 and -97
  List after swap: [-81, -29, -97, -25, -57, -21, -90, 30, -61, 66]
  Compare -25 and -57
  Swap -25 and -57
  List after swap: [-81, -29, -97, -57, -25, -21, -90, 30, -61, 66]
  Compare -25 and -21
  No swap needed
  Compare -21 and -90
  Swap -21 and -90
  List after swap: [-81, -29, -97, -57, -25, -90, -21, 30, -61, 66]
  Compare -21 and 30
  No swap needed
  Compare 30 and -61
  Swap 30 and -61
  List after swap: [-81, -29, -97, -57, -25, -90, -21, -61, 30, 66]

Pass 3:
  Compare -81 and -29
  No swap needed
  Compare -29 and -97
  Swap -29 and -97
  List after swap: [-81, -97, -29, -57, -25, -90, -21, -61, 30, 66]
  Compare -29 and -57
  Swap -29 and -57
  List after swap: [-81, -97, -57, -29, -25, -90, -21, -61, 30, 66]
  Compare -29 and -25
  No swap needed
  Compare -25 and -90
  Swap -25 and -90
  List after swap: [-81, -97, -57, -29, -90, -25, -21, -61, 30, 66]
  Compare -25 and -21
  No swap needed
  Compare -21 and -61
  Swap -21 and -61
  List after swap: [-81, -97, -57, -29, -90, -25, -61, -21, 30, 66]

Pass 4:
  Compare -81 and -97
  Swap -81 and -97
  List after swap: [-97, -81, -57, -29, -90, -25, -61, -21, 30, 66]
  Compare -81 and -57
  No swap needed
  Compare -57 and -29
  No swap needed
  Compare -29 and -90
  Swap -29 and -90
  List after swap: [-97, -81, -57, -90, -29, -25, -61, -21, 30, 66]
  Compare -29 and -25
  No swap needed
  Compare -25 and -61
  Swap -25 and -61
  List after swap: [-97, -81, -57, -90, -29, -61, -25, -21, 30, 66]

Pass 5:
  Compare -97 and -81
  No swap needed
  Compare -81 and -57
  No swap needed
  Compare -57 and -90
  Swap -57 and -90
  List after swap: [-97, -81, -90, -57, -29, -61, -25, -21, 30, 66]
  Compare -57 and -29
  No swap needed
  Compare -29 and -61
  Swap -29 and -61
  List after swap: [-97, -81, -90, -57, -61, -29, -25, -21, 30, 66]

Pass 6:
  Compare -97 and -81
  No swap needed
  Compare -81 and -90
  Swap -81 and -90
  List after swap: [-97, -90, -81, -57, -61, -29, -25, -21, 30, 66]
  Compare -81 and -57
  No swap needed
  Compare -57 and -61
  Swap -57 and -61
  List after swap: [-97, -90, -81, -61, -57, -29, -25, -21, 30, 66]

Pass 7:
  Compare -97 and -90
  No swap needed
  Compare -90 and -81
  No swap needed
  Compare -81 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -90, -81, -61, -57, -29, -25, -21, 30, 66]
</think>

<response>-97, -90, -81, -61, -57, -29, -25, -21, 30, 66</response>


input: Arrange the numbers -50, -13, -42, 21, 53, 0, -12 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-50, -13, -42, 21, 53, 0, -12]

Pass 1:
  Compare -50 and -13
  No swap needed
  Compare -13 and -42
  Swap -13 and -42
  List after swap: [-50, -42, -13, 21, 53, 0, -12]
  Compare -13 and 21
  No swap needed
  Compare 21 and 53
  No swap needed
  Compare 53 and 0
  Swap 53 and 0
  List after swap: [-50, -42, -13, 21, 0, 53, -12]
  Compare 53 and -12
  Swap 53 and -12
  List after swap: [-50, -42, -13, 21, 0, -12, 53]

Pass 2:
  Compare -50 and -42
  No swap needed
  Compare -42 and -13
  No swap needed
  Compare -13 and 21
  No swap needed
  Compare 21 and 0
  Swap 21 and 0
  List after swap: [-50, -42, -13, 0, 21, -12, 53]
  Compare 21 and -12
  Swap 21 and -12
  List after swap: [-50, -42, -13, 0, -12, 21, 53]

Pass 3:
  Compare -50 and -42
  No swap needed
  Compare -42 and -13
  No swap needed
  Compare -13 and 0
  No swap needed
  Compare 0 and -12
  Swap 0 and -12
  List after swap: [-50, -42, -13, -12, 0, 21, 53]

Pass 4:
  Compare -50 and -42
  No swap needed
  Compare -42 and -13
  No swap needed
  Compare -13 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, -42, -13, -12, 0, 21, 53]
</think>

<response>-50, -42, -13, -12, 0, 21, 53</response>


input: Execute bubble sort to sort -60, 36, -84, -39, -63, 82, -69 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-60, 36, -84, -39, -63, 82, -69]

Pass 1:
  Compare -60 and 36
  No swap needed
  Compare 36 and -84
  Swap 36 and -84
  List after swap: [-60, -84, 36, -39, -63, 82, -69]
  Compare 36 and -39
  Swap 36 and -39
  List after swap: [-60, -84, -39, 36, -63, 82, -69]
  Compare 36 and -63
  Swap 36 and -63
  List after swap: [-60, -84, -39, -63, 36, 82, -69]
  Compare 36 and 82
  No swap needed
  Compare 82 and -69
  Swap 82 and -69
  List after swap: [-60, -84, -39, -63, 36, -69, 82]

Pass 2:
  Compare -60 and -84
  Swap -60 and -84
  List after swap: [-84, -60, -39, -63, 36, -69, 82]
  Compare -60 and -39
  No swap needed
  Compare -39 and -63
  Swap -39 and -63
  List after swap: [-84, -60, -63, -39, 36, -69, 82]
  Compare -39 and 36
  No swap needed
  Compare 36 and -69
  Swap 36 and -69
  List after swap: [-84, -60, -63, -39, -69, 36, 82]

Pass 3:
  Compare -84 and -60
  No swap needed
  Compare -60 and -63
  Swap -60 and -63
  List after swap: [-84, -63, -60, -39, -69, 36, 82]
  Compare -60 and -39
  No swap needed
  Compare -39 and -69
  Swap -39 and -69
  List after swap: [-84, -63, -60, -69, -39, 36, 82]

Pass 4:
  Compare -84 and -63
  No swap needed
  Compare -63 and -60
  No swap needed
  Compare -60 and -69
  Swap -60 and -69
  List after swap: [-84, -63, -69, -60, -39, 36, 82]

Pass 5:
  Compare -84 and -63
  No swap needed
  Compare -63 and -69
  Swap -63 and -69
  List after swap: [-84, -69, -63, -60, -39, 36, 82]

Pass 6:
  Compare -84 and -69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -69, -63, -60, -39, 36, 82]
</think>

<response>-84, -69, -63, -60, -39, 36, 82</response>


input: Carry out the bubble sort algorithm on 12, -62, -22, 94, 3, 16, 65 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [12, -62, -22, 94, 3, 16, 65]

Pass 1:
  Compare 12 and -62
  Swap 12 and -62
  List after swap: [-62, 12, -22, 94, 3, 16, 65]
  Compare 12 and -22
  Swap 12 and -22
  List after swap: [-62, -22, 12, 94, 3, 16, 65]
  Compare 12 and 94
  No swap needed
  Compare 94 and 3
  Swap 94 and 3
  List after swap: [-62, -22, 12, 3, 94, 16, 65]
  Compare 94 and 16
  Swap 94 and 16
  List after swap: [-62, -22, 12, 3, 16, 94, 65]
  Compare 94 and 65
  Swap 94 and 65
  List after swap: [-62, -22, 12, 3, 16, 65, 94]

Pass 2:
  Compare -62 and -22
  No swap needed
  Compare -22 and 12
  No swap needed
  Compare 12 and 3
  Swap 12 and 3
  List after swap: [-62, -22, 3, 12, 16, 65, 94]
  Compare 12 and 16
  No swap needed
  Compare 16 and 65
  No swap needed

Pass 3:
  Compare -62 and -22
  No swap needed
  Compare -22 and 3
  No swap needed
  Compare 3 and 12
  No swap needed
  Compare 12 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -22, 3, 12, 16, 65, 94]
</think>

<response>-62, -22, 3, 12, 16, 65, 94</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -84, 43, -11, -60, 24, -69, 75, 13.

output:
<think>
Initial list: [-84, 43, -11, -60, 24, -69, 75, 13]

Pass 1:
  Compare -84 and 43
  No swap needed
  Compare 43 and -11
  Swap 43 and -11
  List after swap: [-84, -11, 43, -60, 24, -69, 75, 13]
  Compare 43 and -60
  Swap 43 and -60
  List after swap: [-84, -11, -60, 43, 24, -69, 75, 13]
  Compare 43 and 24
  Swap 43 and 24
  List after swap: [-84, -11, -60, 24, 43, -69, 75, 13]
  Compare 43 and -69
  Swap 43 and -69
  List after swap: [-84, -11, -60, 24, -69, 43, 75, 13]
  Compare 43 and 75
  No swap needed
  Compare 75 and 13
  Swap 75 and 13
  List after swap: [-84, -11, -60, 24, -69, 43, 13, 75]

Pass 2:
  Compare -84 and -11
  No swap needed
  Compare -11 and -60
  Swap -11 and -60
  List after swap: [-84, -60, -11, 24, -69, 43, 13, 75]
  Compare -11 and 24
  No swap needed
  Compare 24 and -69
  Swap 24 and -69
  List after swap: [-84, -60, -11, -69, 24, 43, 13, 75]
  Compare 24 and 43
  No swap needed
  Compare 43 and 13
  Swap 43 and 13
  List after swap: [-84, -60, -11, -69, 24, 13, 43, 75]

Pass 3:
  Compare -84 and -60
  No swap needed
  Compare -60 and -11
  No swap needed
  Compare -11 and -69
  Swap -11 and -69
  List after swap: [-84, -60, -69, -11, 24, 13, 43, 75]
  Compare -11 and 24
  No swap needed
  Compare 24 and 13
  Swap 24 and 13
  List after swap: [-84, -60, -69, -11, 13, 24, 43, 75]

Pass 4:
  Compare -84 and -60
  No swap needed
  Compare -60 and -69
  Swap -60 and -69
  List after swap: [-84, -69, -60, -11, 13, 24, 43, 75]
  Compare -60 and -11
  No swap needed
  Compare -11 and 13
  No swap needed

Pass 5:
  Compare -84 and -69
  No swap needed
  Compare -69 and -60
  No swap needed
  Compare -60 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -69, -60, -11, 13, 24, 43, 75]
</think>

<response>-84, -69, -60, -11, 13, 24, 43, 75</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -33, -88, -26, 20.

output:
<think>
Initial list: [-33, -88, -26, 20]

Pass 1:
  Compare -33 and -88
  Swap -33 and -88
  List after swap: [-88, -33, -26, 20]
  Compare -33 and -26
  No swap needed
  Compare -26 and 20
  No swap needed

Pass 2:
  Compare -88 and -33
  No swap needed
  Compare -33 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -33, -26, 20]
</think>

<response>-88, -33, -26, 20</response>