input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -77, 79, -64, 53, -73, -20, -79, -56.

output:
<think>
Initial list: [-77, 79, -64, 53, -73, -20, -79, -56]

Pass 1:
  Compare -77 and 79
  No swap needed
  Compare 79 and -64
  Swap 79 and -64
  List after swap: [-77, -64, 79, 53, -73, -20, -79, -56]
  Compare 79 and 53
  Swap 79 and 53
  List after swap: [-77, -64, 53, 79, -73, -20, -79, -56]
  Compare 79 and -73
  Swap 79 and -73
  List after swap: [-77, -64, 53, -73, 79, -20, -79, -56]
  Compare 79 and -20
  Swap 79 and -20
  List after swap: [-77, -64, 53, -73, -20, 79, -79, -56]
  Compare 79 and -79
  Swap 79 and -79
  List after swap: [-77, -64, 53, -73, -20, -79, 79, -56]
  Compare 79 and -56
  Swap 79 and -56
  List after swap: [-77, -64, 53, -73, -20, -79, -56, 79]

Pass 2:
  Compare -77 and -64
  No swap needed
  Compare -64 and 53
  No swap needed
  Compare 53 and -73
  Swap 53 and -73
  List after swap: [-77, -64, -73, 53, -20, -79, -56, 79]
  Compare 53 and -20
  Swap 53 and -20
  List after swap: [-77, -64, -73, -20, 53, -79, -56, 79]
  Compare 53 and -79
  Swap 53 and -79
  List after swap: [-77, -64, -73, -20, -79, 53, -56, 79]
  Compare 53 and -56
  Swap 53 and -56
  List after swap: [-77, -64, -73, -20, -79, -56, 53, 79]

Pass 3:
  Compare -77 and -64
  No swap needed
  Compare -64 and -73
  Swap -64 and -73
  List after swap: [-77, -73, -64, -20, -79, -56, 53, 79]
  Compare -64 and -20
  No swap needed
  Compare -20 and -79
  Swap -20 and -79
  List after swap: [-77, -73, -64, -79, -20, -56, 53, 79]
  Compare -20 and -56
  Swap -20 and -56
  List after swap: [-77, -73, -64, -79, -56, -20, 53, 79]

Pass 4:
  Compare -77 and -73
  No swap needed
  Compare -73 and -64
  No swap needed
  Compare -64 and -79
  Swap -64 and -79
  List after swap: [-77, -73, -79, -64, -56, -20, 53, 79]
  Compare -64 and -56
  No swap needed

Pass 5:
  Compare -77 and -73
  No swap needed
  Compare -73 and -79
  Swap -73 and -79
  List after swap: [-77, -79, -73, -64, -56, -20, 53, 79]
  Compare -73 and -64
  No swap needed

Pass 6:
  Compare -77 and -79
  Swap -77 and -79
  List after swap: [-79, -77, -73, -64, -56, -20, 53, 79]
  Compare -77 and -73
  No swap needed

Pass 7:
  Compare -79 and -77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -77, -73, -64, -56, -20, 53, 79]
</think>

<response>-79, -77, -73, -64, -56, -20, 53, 79</response>


input: Using the bubble sort method, sort 29, 18, 63, 81, 27 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [29, 18, 63, 81, 27]

Pass 1:
  Compare 29 and 18
  Swap 29 and 18
  List after swap: [18, 29, 63, 81, 27]
  Compare 29 and 63
  No swap needed
  Compare 63 and 81
  No swap needed
  Compare 81 and 27
  Swap 81 and 27
  List after swap: [18, 29, 63, 27, 81]

Pass 2:
  Compare 18 and 29
  No swap needed
  Compare 29 and 63
  No swap needed
  Compare 63 and 27
  Swap 63 and 27
  List after swap: [18, 29, 27, 63, 81]

Pass 3:
  Compare 18 and 29
  No swap needed
  Compare 29 and 27
  Swap 29 and 27
  List after swap: [18, 27, 29, 63, 81]

Pass 4:
  Compare 18 and 27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [18, 27, 29, 63, 81]
</think>

<response>18, 27, 29, 63, 81</response>


input: Demonstrate how bubble sort orders the integers 51, -42, -19, -75, -3, -99, 89, 31, 22, 62 in ascending sequence, showing all steps.

output:
<think>
Initial list: [51, -42, -19, -75, -3, -99, 89, 31, 22, 62]

Pass 1:
  Compare 51 and -42
  Swap 51 and -42
  List after swap: [-42, 51, -19, -75, -3, -99, 89, 31, 22, 62]
  Compare 51 and -19
  Swap 51 and -19
  List after swap: [-42, -19, 51, -75, -3, -99, 89, 31, 22, 62]
  Compare 51 and -75
  Swap 51 and -75
  List after swap: [-42, -19, -75, 51, -3, -99, 89, 31, 22, 62]
  Compare 51 and -3
  Swap 51 and -3
  List after swap: [-42, -19, -75, -3, 51, -99, 89, 31, 22, 62]
  Compare 51 and -99
  Swap 51 and -99
  List after swap: [-42, -19, -75, -3, -99, 51, 89, 31, 22, 62]
  Compare 51 and 89
  No swap needed
  Compare 89 and 31
  Swap 89 and 31
  List after swap: [-42, -19, -75, -3, -99, 51, 31, 89, 22, 62]
  Compare 89 and 22
  Swap 89 and 22
  List after swap: [-42, -19, -75, -3, -99, 51, 31, 22, 89, 62]
  Compare 89 and 62
  Swap 89 and 62
  List after swap: [-42, -19, -75, -3, -99, 51, 31, 22, 62, 89]

Pass 2:
  Compare -42 and -19
  No swap needed
  Compare -19 and -75
  Swap -19 and -75
  List after swap: [-42, -75, -19, -3, -99, 51, 31, 22, 62, 89]
  Compare -19 and -3
  No swap needed
  Compare -3 and -99
  Swap -3 and -99
  List after swap: [-42, -75, -19, -99, -3, 51, 31, 22, 62, 89]
  Compare -3 and 51
  No swap needed
  Compare 51 and 31
  Swap 51 and 31
  List after swap: [-42, -75, -19, -99, -3, 31, 51, 22, 62, 89]
  Compare 51 and 22
  Swap 51 and 22
  List after swap: [-42, -75, -19, -99, -3, 31, 22, 51, 62, 89]
  Compare 51 and 62
  No swap needed

Pass 3:
  Compare -42 and -75
  Swap -42 and -75
  List after swap: [-75, -42, -19, -99, -3, 31, 22, 51, 62, 89]
  Compare -42 and -19
  No swap needed
  Compare -19 and -99
  Swap -19 and -99
  List after swap: [-75, -42, -99, -19, -3, 31, 22, 51, 62, 89]
  Compare -19 and -3
  No swap needed
  Compare -3 and 31
  No swap needed
  Compare 31 and 22
  Swap 31 and 22
  List after swap: [-75, -42, -99, -19, -3, 22, 31, 51, 62, 89]
  Compare 31 and 51
  No swap needed

Pass 4:
  Compare -75 and -42
  No swap needed
  Compare -42 and -99
  Swap -42 and -99
  List after swap: [-75, -99, -42, -19, -3, 22, 31, 51, 62, 89]
  Compare -42 and -19
  No swap needed
  Compare -19 and -3
  No swap needed
  Compare -3 and 22
  No swap needed
  Compare 22 and 31
  No swap needed

Pass 5:
  Compare -75 and -99
  Swap -75 and -99
  List after swap: [-99, -75, -42, -19, -3, 22, 31, 51, 62, 89]
  Compare -75 and -42
  No swap needed
  Compare -42 and -19
  No swap needed
  Compare -19 and -3
  No swap needed
  Compare -3 and 22
  No swap needed

Pass 6:
  Compare -99 and -75
  No swap needed
  Compare -75 and -42
  No swap needed
  Compare -42 and -19
  No swap needed
  Compare -19 and -3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -75, -42, -19, -3, 22, 31, 51, 62, 89]
</think>

<response>-99, -75, -42, -19, -3, 22, 31, 51, 62, 89</response>


input: Sort these integers -10, -15, -60, 84, -25 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-10, -15, -60, 84, -25]

Pass 1:
  Compare -10 and -15
  Swap -10 and -15
  List after swap: [-15, -10, -60, 84, -25]
  Compare -10 and -60
  Swap -10 and -60
  List after swap: [-15, -60, -10, 84, -25]
  Compare -10 and 84
  No swap needed
  Compare 84 and -25
  Swap 84 and -25
  List after swap: [-15, -60, -10, -25, 84]

Pass 2:
  Compare -15 and -60
  Swap -15 and -60
  List after swap: [-60, -15, -10, -25, 84]
  Compare -15 and -10
  No swap needed
  Compare -10 and -25
  Swap -10 and -25
  List after swap: [-60, -15, -25, -10, 84]

Pass 3:
  Compare -60 and -15
  No swap needed
  Compare -15 and -25
  Swap -15 and -25
  List after swap: [-60, -25, -15, -10, 84]

Pass 4:
  Compare -60 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -25, -15, -10, 84]
</think>

<response>-60, -25, -15, -10, 84</response>


input: Perform a bubble sort on the integers 80, -32, 90, -19, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [80, -32, 90, -19]

Pass 1:
  Compare 80 and -32
  Swap 80 and -32
  List after swap: [-32, 80, 90, -19]
  Compare 80 and 90
  No swap needed
  Compare 90 and -19
  Swap 90 and -19
  List after swap: [-32, 80, -19, 90]

Pass 2:
  Compare -32 and 80
  No swap needed
  Compare 80 and -19
  Swap 80 and -19
  List after swap: [-32, -19, 80, 90]

Pass 3:
  Compare -32 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-32, -19, 80, 90]
</think>

<response>-32, -19, 80, 90</response>


input: Demonstrate how bubble sort orders the integers -86, 81, 70, 73, -78, 54, -9 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-86, 81, 70, 73, -78, 54, -9]

Pass 1:
  Compare -86 and 81
  No swap needed
  Compare 81 and 70
  Swap 81 and 70
  List after swap: [-86, 70, 81, 73, -78, 54, -9]
  Compare 81 and 73
  Swap 81 and 73
  List after swap: [-86, 70, 73, 81, -78, 54, -9]
  Compare 81 and -78
  Swap 81 and -78
  List after swap: [-86, 70, 73, -78, 81, 54, -9]
  Compare 81 and 54
  Swap 81 and 54
  List after swap: [-86, 70, 73, -78, 54, 81, -9]
  Compare 81 and -9
  Swap 81 and -9
  List after swap: [-86, 70, 73, -78, 54, -9, 81]

Pass 2:
  Compare -86 and 70
  No swap needed
  Compare 70 and 73
  No swap needed
  Compare 73 and -78
  Swap 73 and -78
  List after swap: [-86, 70, -78, 73, 54, -9, 81]
  Compare 73 and 54
  Swap 73 and 54
  List after swap: [-86, 70, -78, 54, 73, -9, 81]
  Compare 73 and -9
  Swap 73 and -9
  List after swap: [-86, 70, -78, 54, -9, 73, 81]

Pass 3:
  Compare -86 and 70
  No swap needed
  Compare 70 and -78
  Swap 70 and -78
  List after swap: [-86, -78, 70, 54, -9, 73, 81]
  Compare 70 and 54
  Swap 70 and 54
  List after swap: [-86, -78, 54, 70, -9, 73, 81]
  Compare 70 and -9
  Swap 70 and -9
  List after swap: [-86, -78, 54, -9, 70, 73, 81]

Pass 4:
  Compare -86 and -78
  No swap needed
  Compare -78 and 54
  No swap needed
  Compare 54 and -9
  Swap 54 and -9
  List after swap: [-86, -78, -9, 54, 70, 73, 81]

Pass 5:
  Compare -86 and -78
  No swap needed
  Compare -78 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -78, -9, 54, 70, 73, 81]
</think>

<response>-86, -78, -9, 54, 70, 73, 81</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -16, 18, 59, -26, 69, -81.

output:
<think>
Initial list: [-16, 18, 59, -26, 69, -81]

Pass 1:
  Compare -16 and 18
  No swap needed
  Compare 18 and 59
  No swap needed
  Compare 59 and -26
  Swap 59 and -26
  List after swap: [-16, 18, -26, 59, 69, -81]
  Compare 59 and 69
  No swap needed
  Compare 69 and -81
  Swap 69 and -81
  List after swap: [-16, 18, -26, 59, -81, 69]

Pass 2:
  Compare -16 and 18
  No swap needed
  Compare 18 and -26
  Swap 18 and -26
  List after swap: [-16, -26, 18, 59, -81, 69]
  Compare 18 and 59
  No swap needed
  Compare 59 and -81
  Swap 59 and -81
  List after swap: [-16, -26, 18, -81, 59, 69]

Pass 3:
  Compare -16 and -26
  Swap -16 and -26
  List after swap: [-26, -16, 18, -81, 59, 69]
  Compare -16 and 18
  No swap needed
  Compare 18 and -81
  Swap 18 and -81
  List after swap: [-26, -16, -81, 18, 59, 69]

Pass 4:
  Compare -26 and -16
  No swap needed
  Compare -16 and -81
  Swap -16 and -81
  List after swap: [-26, -81, -16, 18, 59, 69]

Pass 5:
  Compare -26 and -81
  Swap -26 and -81
  List after swap: [-81, -26, -16, 18, 59, 69]

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

Final sorted list: [-81, -26, -16, 18, 59, 69]
</think>

<response>-81, -26, -16, 18, 59, 69</response>


input: Arrange the numbers -46, -2, -58, 14, 83, -86 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-46, -2, -58, 14, 83, -86]

Pass 1:
  Compare -46 and -2
  No swap needed
  Compare -2 and -58
  Swap -2 and -58
  List after swap: [-46, -58, -2, 14, 83, -86]
  Compare -2 and 14
  No swap needed
  Compare 14 and 83
  No swap needed
  Compare 83 and -86
  Swap 83 and -86
  List after swap: [-46, -58, -2, 14, -86, 83]

Pass 2:
  Compare -46 and -58
  Swap -46 and -58
  List after swap: [-58, -46, -2, 14, -86, 83]
  Compare -46 and -2
  No swap needed
  Compare -2 and 14
  No swap needed
  Compare 14 and -86
  Swap 14 and -86
  List after swap: [-58, -46, -2, -86, 14, 83]

Pass 3:
  Compare -58 and -46
  No swap needed
  Compare -46 and -2
  No swap needed
  Compare -2 and -86
  Swap -2 and -86
  List after swap: [-58, -46, -86, -2, 14, 83]

Pass 4:
  Compare -58 and -46
  No swap needed
  Compare -46 and -86
  Swap -46 and -86
  List after swap: [-58, -86, -46, -2, 14, 83]

Pass 5:
  Compare -58 and -86
  Swap -58 and -86
  List after swap: [-86, -58, -46, -2, 14, 83]

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

Final sorted list: [-86, -58, -46, -2, 14, 83]
</think>

<response>-86, -58, -46, -2, 14, 83</response>


input: Sort the list -53, -38, -92, 44, -56, 30, -96, 69 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-53, -38, -92, 44, -56, 30, -96, 69]

Pass 1:
  Compare -53 and -38
  No swap needed
  Compare -38 and -92
  Swap -38 and -92
  List after swap: [-53, -92, -38, 44, -56, 30, -96, 69]
  Compare -38 and 44
  No swap needed
  Compare 44 and -56
  Swap 44 and -56
  List after swap: [-53, -92, -38, -56, 44, 30, -96, 69]
  Compare 44 and 30
  Swap 44 and 30
  List after swap: [-53, -92, -38, -56, 30, 44, -96, 69]
  Compare 44 and -96
  Swap 44 and -96
  List after swap: [-53, -92, -38, -56, 30, -96, 44, 69]
  Compare 44 and 69
  No swap needed

Pass 2:
  Compare -53 and -92
  Swap -53 and -92
  List after swap: [-92, -53, -38, -56, 30, -96, 44, 69]
  Compare -53 and -38
  No swap needed
  Compare -38 and -56
  Swap -38 and -56
  List after swap: [-92, -53, -56, -38, 30, -96, 44, 69]
  Compare -38 and 30
  No swap needed
  Compare 30 and -96
  Swap 30 and -96
  List after swap: [-92, -53, -56, -38, -96, 30, 44, 69]
  Compare 30 and 44
  No swap needed

Pass 3:
  Compare -92 and -53
  No swap needed
  Compare -53 and -56
  Swap -53 and -56
  List after swap: [-92, -56, -53, -38, -96, 30, 44, 69]
  Compare -53 and -38
  No swap needed
  Compare -38 and -96
  Swap -38 and -96
  List after swap: [-92, -56, -53, -96, -38, 30, 44, 69]
  Compare -38 and 30
  No swap needed

Pass 4:
  Compare -92 and -56
  No swap needed
  Compare -56 and -53
  No swap needed
  Compare -53 and -96
  Swap -53 and -96
  List after swap: [-92, -56, -96, -53, -38, 30, 44, 69]
  Compare -53 and -38
  No swap needed

Pass 5:
  Compare -92 and -56
  No swap needed
  Compare -56 and -96
  Swap -56 and -96
  List after swap: [-92, -96, -56, -53, -38, 30, 44, 69]
  Compare -56 and -53
  No swap needed

Pass 6:
  Compare -92 and -96
  Swap -92 and -96
  List after swap: [-96, -92, -56, -53, -38, 30, 44, 69]
  Compare -92 and -56
  No swap needed

Pass 7:
  Compare -96 and -92
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -92, -56, -53, -38, 30, 44, 69]
</think>

<response>-96, -92, -56, -53, -38, 30, 44, 69</response>


input: Sort the list 14, -1, -53, -28, -54, -41, 55 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [14, -1, -53, -28, -54, -41, 55]

Pass 1:
  Compare 14 and -1
  Swap 14 and -1
  List after swap: [-1, 14, -53, -28, -54, -41, 55]
  Compare 14 and -53
  Swap 14 and -53
  List after swap: [-1, -53, 14, -28, -54, -41, 55]
  Compare 14 and -28
  Swap 14 and -28
  List after swap: [-1, -53, -28, 14, -54, -41, 55]
  Compare 14 and -54
  Swap 14 and -54
  List after swap: [-1, -53, -28, -54, 14, -41, 55]
  Compare 14 and -41
  Swap 14 and -41
  List after swap: [-1, -53, -28, -54, -41, 14, 55]
  Compare 14 and 55
  No swap needed

Pass 2:
  Compare -1 and -53
  Swap -1 and -53
  List after swap: [-53, -1, -28, -54, -41, 14, 55]
  Compare -1 and -28
  Swap -1 and -28
  List after swap: [-53, -28, -1, -54, -41, 14, 55]
  Compare -1 and -54
  Swap -1 and -54
  List after swap: [-53, -28, -54, -1, -41, 14, 55]
  Compare -1 and -41
  Swap -1 and -41
  List after swap: [-53, -28, -54, -41, -1, 14, 55]
  Compare -1 and 14
  No swap needed

Pass 3:
  Compare -53 and -28
  No swap needed
  Compare -28 and -54
  Swap -28 and -54
  List after swap: [-53, -54, -28, -41, -1, 14, 55]
  Compare -28 and -41
  Swap -28 and -41
  List after swap: [-53, -54, -41, -28, -1, 14, 55]
  Compare -28 and -1
  No swap needed

Pass 4:
  Compare -53 and -54
  Swap -53 and -54
  List after swap: [-54, -53, -41, -28, -1, 14, 55]
  Compare -53 and -41
  No swap needed
  Compare -41 and -28
  No swap needed

Pass 5:
  Compare -54 and -53
  No swap needed
  Compare -53 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-54, -53, -41, -28, -1, 14, 55]
</think>

<response>-54, -53, -41, -28, -1, 14, 55</response>


input: Execute bubble sort to sort 32, 19, -4, -3 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [32, 19, -4, -3]

Pass 1:
  Compare 32 and 19
  Swap 32 and 19
  List after swap: [19, 32, -4, -3]
  Compare 32 and -4
  Swap 32 and -4
  List after swap: [19, -4, 32, -3]
  Compare 32 and -3
  Swap 32 and -3
  List after swap: [19, -4, -3, 32]

Pass 2:
  Compare 19 and -4
  Swap 19 and -4
  List after swap: [-4, 19, -3, 32]
  Compare 19 and -3
  Swap 19 and -3
  List after swap: [-4, -3, 19, 32]

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

Final sorted list: [-4, -3, 19, 32]
</think>

<response>-4, -3, 19, 32</response>


input: Perform a bubble sort on the integers 86, 47, 78, -95, 77, 93, 24, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [86, 47, 78, -95, 77, 93, 24]

Pass 1:
  Compare 86 and 47
  Swap 86 and 47
  List after swap: [47, 86, 78, -95, 77, 93, 24]
  Compare 86 and 78
  Swap 86 and 78
  List after swap: [47, 78, 86, -95, 77, 93, 24]
  Compare 86 and -95
  Swap 86 and -95
  List after swap: [47, 78, -95, 86, 77, 93, 24]
  Compare 86 and 77
  Swap 86 and 77
  List after swap: [47, 78, -95, 77, 86, 93, 24]
  Compare 86 and 93
  No swap needed
  Compare 93 and 24
  Swap 93 and 24
  List after swap: [47, 78, -95, 77, 86, 24, 93]

Pass 2:
  Compare 47 and 78
  No swap needed
  Compare 78 and -95
  Swap 78 and -95
  List after swap: [47, -95, 78, 77, 86, 24, 93]
  Compare 78 and 77
  Swap 78 and 77
  List after swap: [47, -95, 77, 78, 86, 24, 93]
  Compare 78 and 86
  No swap needed
  Compare 86 and 24
  Swap 86 and 24
  List after swap: [47, -95, 77, 78, 24, 86, 93]

Pass 3:
  Compare 47 and -95
  Swap 47 and -95
  List after swap: [-95, 47, 77, 78, 24, 86, 93]
  Compare 47 and 77
  No swap needed
  Compare 77 and 78
  No swap needed
  Compare 78 and 24
  Swap 78 and 24
  List after swap: [-95, 47, 77, 24, 78, 86, 93]

Pass 4:
  Compare -95 and 47
  No swap needed
  Compare 47 and 77
  No swap needed
  Compare 77 and 24
  Swap 77 and 24
  List after swap: [-95, 47, 24, 77, 78, 86, 93]

Pass 5:
  Compare -95 and 47
  No swap needed
  Compare 47 and 24
  Swap 47 and 24
  List after swap: [-95, 24, 47, 77, 78, 86, 93]

Pass 6:
  Compare -95 and 24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, 24, 47, 77, 78, 86, 93]
</think>

<response>-95, 24, 47, 77, 78, 86, 93</response>


input: Carry out the bubble sort algorithm on 45, 40, -51, -82, -6, -40, 13, -81, 70, -1 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [45, 40, -51, -82, -6, -40, 13, -81, 70, -1]

Pass 1:
  Compare 45 and 40
  Swap 45 and 40
  List after swap: [40, 45, -51, -82, -6, -40, 13, -81, 70, -1]
  Compare 45 and -51
  Swap 45 and -51
  List after swap: [40, -51, 45, -82, -6, -40, 13, -81, 70, -1]
  Compare 45 and -82
  Swap 45 and -82
  List after swap: [40, -51, -82, 45, -6, -40, 13, -81, 70, -1]
  Compare 45 and -6
  Swap 45 and -6
  List after swap: [40, -51, -82, -6, 45, -40, 13, -81, 70, -1]
  Compare 45 and -40
  Swap 45 and -40
  List after swap: [40, -51, -82, -6, -40, 45, 13, -81, 70, -1]
  Compare 45 and 13
  Swap 45 and 13
  List after swap: [40, -51, -82, -6, -40, 13, 45, -81, 70, -1]
  Compare 45 and -81
  Swap 45 and -81
  List after swap: [40, -51, -82, -6, -40, 13, -81, 45, 70, -1]
  Compare 45 and 70
  No swap needed
  Compare 70 and -1
  Swap 70 and -1
  List after swap: [40, -51, -82, -6, -40, 13, -81, 45, -1, 70]

Pass 2:
  Compare 40 and -51
  Swap 40 and -51
  List after swap: [-51, 40, -82, -6, -40, 13, -81, 45, -1, 70]
  Compare 40 and -82
  Swap 40 and -82
  List after swap: [-51, -82, 40, -6, -40, 13, -81, 45, -1, 70]
  Compare 40 and -6
  Swap 40 and -6
  List after swap: [-51, -82, -6, 40, -40, 13, -81, 45, -1, 70]
  Compare 40 and -40
  Swap 40 and -40
  List after swap: [-51, -82, -6, -40, 40, 13, -81, 45, -1, 70]
  Compare 40 and 13
  Swap 40 and 13
  List after swap: [-51, -82, -6, -40, 13, 40, -81, 45, -1, 70]
  Compare 40 and -81
  Swap 40 and -81
  List after swap: [-51, -82, -6, -40, 13, -81, 40, 45, -1, 70]
  Compare 40 and 45
  No swap needed
  Compare 45 and -1
  Swap 45 and -1
  List after swap: [-51, -82, -6, -40, 13, -81, 40, -1, 45, 70]

Pass 3:
  Compare -51 and -82
  Swap -51 and -82
  List after swap: [-82, -51, -6, -40, 13, -81, 40, -1, 45, 70]
  Compare -51 and -6
  No swap needed
  Compare -6 and -40
  Swap -6 and -40
  List after swap: [-82, -51, -40, -6, 13, -81, 40, -1, 45, 70]
  Compare -6 and 13
  No swap needed
  Compare 13 and -81
  Swap 13 and -81
  List after swap: [-82, -51, -40, -6, -81, 13, 40, -1, 45, 70]
  Compare 13 and 40
  No swap needed
  Compare 40 and -1
  Swap 40 and -1
  List after swap: [-82, -51, -40, -6, -81, 13, -1, 40, 45, 70]

Pass 4:
  Compare -82 and -51
  No swap needed
  Compare -51 and -40
  No swap needed
  Compare -40 and -6
  No swap needed
  Compare -6 and -81
  Swap -6 and -81
  List after swap: [-82, -51, -40, -81, -6, 13, -1, 40, 45, 70]
  Compare -6 and 13
  No swap needed
  Compare 13 and -1
  Swap 13 and -1
  List after swap: [-82, -51, -40, -81, -6, -1, 13, 40, 45, 70]

Pass 5:
  Compare -82 and -51
  No swap needed
  Compare -51 and -40
  No swap needed
  Compare -40 and -81
  Swap -40 and -81
  List after swap: [-82, -51, -81, -40, -6, -1, 13, 40, 45, 70]
  Compare -40 and -6
  No swap needed
  Compare -6 and -1
  No swap needed

Pass 6:
  Compare -82 and -51
  No swap needed
  Compare -51 and -81
  Swap -51 and -81
  List after swap: [-82, -81, -51, -40, -6, -1, 13, 40, 45, 70]
  Compare -51 and -40
  No swap needed
  Compare -40 and -6
  No swap needed

Pass 7:
  Compare -82 and -81
  No swap needed
  Compare -81 and -51
  No swap needed
  Compare -51 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -81, -51, -40, -6, -1, 13, 40, 45, 70]
</think>

<response>-82, -81, -51, -40, -6, -1, 13, 40, 45, 70</response>


input: Carry out the bubble sort algorithm on 5, -39, -41, -63, 61, 34, -44, 50 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [5, -39, -41, -63, 61, 34, -44, 50]

Pass 1:
  Compare 5 and -39
  Swap 5 and -39
  List after swap: [-39, 5, -41, -63, 61, 34, -44, 50]
  Compare 5 and -41
  Swap 5 and -41
  List after swap: [-39, -41, 5, -63, 61, 34, -44, 50]
  Compare 5 and -63
  Swap 5 and -63
  List after swap: [-39, -41, -63, 5, 61, 34, -44, 50]
  Compare 5 and 61
  No swap needed
  Compare 61 and 34
  Swap 61 and 34
  List after swap: [-39, -41, -63, 5, 34, 61, -44, 50]
  Compare 61 and -44
  Swap 61 and -44
  List after swap: [-39, -41, -63, 5, 34, -44, 61, 50]
  Compare 61 and 50
  Swap 61 and 50
  List after swap: [-39, -41, -63, 5, 34, -44, 50, 61]

Pass 2:
  Compare -39 and -41
  Swap -39 and -41
  List after swap: [-41, -39, -63, 5, 34, -44, 50, 61]
  Compare -39 and -63
  Swap -39 and -63
  List after swap: [-41, -63, -39, 5, 34, -44, 50, 61]
  Compare -39 and 5
  No swap needed
  Compare 5 and 34
  No swap needed
  Compare 34 and -44
  Swap 34 and -44
  List after swap: [-41, -63, -39, 5, -44, 34, 50, 61]
  Compare 34 and 50
  No swap needed

Pass 3:
  Compare -41 and -63
  Swap -41 and -63
  List after swap: [-63, -41, -39, 5, -44, 34, 50, 61]
  Compare -41 and -39
  No swap needed
  Compare -39 and 5
  No swap needed
  Compare 5 and -44
  Swap 5 and -44
  List after swap: [-63, -41, -39, -44, 5, 34, 50, 61]
  Compare 5 and 34
  No swap needed

Pass 4:
  Compare -63 and -41
  No swap needed
  Compare -41 and -39
  No swap needed
  Compare -39 and -44
  Swap -39 and -44
  List after swap: [-63, -41, -44, -39, 5, 34, 50, 61]
  Compare -39 and 5
  No swap needed

Pass 5:
  Compare -63 and -41
  No swap needed
  Compare -41 and -44
  Swap -41 and -44
  List after swap: [-63, -44, -41, -39, 5, 34, 50, 61]
  Compare -41 and -39
  No swap needed

Pass 6:
  Compare -63 and -44
  No swap needed
  Compare -44 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -44, -41, -39, 5, 34, 50, 61]
</think>

<response>-63, -44, -41, -39, 5, 34, 50, 61</response>


input: Carry out the bubble sort algorithm on 58, 53, -95, 74, -84, -41, 66, -63, 81, -4 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [58, 53, -95, 74, -84, -41, 66, -63, 81, -4]

Pass 1:
  Compare 58 and 53
  Swap 58 and 53
  List after swap: [53, 58, -95, 74, -84, -41, 66, -63, 81, -4]
  Compare 58 and -95
  Swap 58 and -95
  List after swap: [53, -95, 58, 74, -84, -41, 66, -63, 81, -4]
  Compare 58 and 74
  No swap needed
  Compare 74 and -84
  Swap 74 and -84
  List after swap: [53, -95, 58, -84, 74, -41, 66, -63, 81, -4]
  Compare 74 and -41
  Swap 74 and -41
  List after swap: [53, -95, 58, -84, -41, 74, 66, -63, 81, -4]
  Compare 74 and 66
  Swap 74 and 66
  List after swap: [53, -95, 58, -84, -41, 66, 74, -63, 81, -4]
  Compare 74 and -63
  Swap 74 and -63
  List after swap: [53, -95, 58, -84, -41, 66, -63, 74, 81, -4]
  Compare 74 and 81
  No swap needed
  Compare 81 and -4
  Swap 81 and -4
  List after swap: [53, -95, 58, -84, -41, 66, -63, 74, -4, 81]

Pass 2:
  Compare 53 and -95
  Swap 53 and -95
  List after swap: [-95, 53, 58, -84, -41, 66, -63, 74, -4, 81]
  Compare 53 and 58
  No swap needed
  Compare 58 and -84
  Swap 58 and -84
  List after swap: [-95, 53, -84, 58, -41, 66, -63, 74, -4, 81]
  Compare 58 and -41
  Swap 58 and -41
  List after swap: [-95, 53, -84, -41, 58, 66, -63, 74, -4, 81]
  Compare 58 and 66
  No swap needed
  Compare 66 and -63
  Swap 66 and -63
  List after swap: [-95, 53, -84, -41, 58, -63, 66, 74, -4, 81]
  Compare 66 and 74
  No swap needed
  Compare 74 and -4
  Swap 74 and -4
  List after swap: [-95, 53, -84, -41, 58, -63, 66, -4, 74, 81]

Pass 3:
  Compare -95 and 53
  No swap needed
  Compare 53 and -84
  Swap 53 and -84
  List after swap: [-95, -84, 53, -41, 58, -63, 66, -4, 74, 81]
  Compare 53 and -41
  Swap 53 and -41
  List after swap: [-95, -84, -41, 53, 58, -63, 66, -4, 74, 81]
  Compare 53 and 58
  No swap needed
  Compare 58 and -63
  Swap 58 and -63
  List after swap: [-95, -84, -41, 53, -63, 58, 66, -4, 74, 81]
  Compare 58 and 66
  No swap needed
  Compare 66 and -4
  Swap 66 and -4
  List after swap: [-95, -84, -41, 53, -63, 58, -4, 66, 74, 81]

Pass 4:
  Compare -95 and -84
  No swap needed
  Compare -84 and -41
  No swap needed
  Compare -41 and 53
  No swap needed
  Compare 53 and -63
  Swap 53 and -63
  List after swap: [-95, -84, -41, -63, 53, 58, -4, 66, 74, 81]
  Compare 53 and 58
  No swap needed
  Compare 58 and -4
  Swap 58 and -4
  List after swap: [-95, -84, -41, -63, 53, -4, 58, 66, 74, 81]

Pass 5:
  Compare -95 and -84
  No swap needed
  Compare -84 and -41
  No swap needed
  Compare -41 and -63
  Swap -41 and -63
  List after swap: [-95, -84, -63, -41, 53, -4, 58, 66, 74, 81]
  Compare -41 and 53
  No swap needed
  Compare 53 and -4
  Swap 53 and -4
  List after swap: [-95, -84, -63, -41, -4, 53, 58, 66, 74, 81]

Pass 6:
  Compare -95 and -84
  No swap needed
  Compare -84 and -63
  No swap needed
  Compare -63 and -41
  No swap needed
  Compare -41 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -84, -63, -41, -4, 53, 58, 66, 74, 81]
</think>

<response>-95, -84, -63, -41, -4, 53, 58, 66, 74, 81</response>


input: Using the bubble sort method, sort 27, 13, 77, 38, -23, 90, 73 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [27, 13, 77, 38, -23, 90, 73]

Pass 1:
  Compare 27 and 13
  Swap 27 and 13
  List after swap: [13, 27, 77, 38, -23, 90, 73]
  Compare 27 and 77
  No swap needed
  Compare 77 and 38
  Swap 77 and 38
  List after swap: [13, 27, 38, 77, -23, 90, 73]
  Compare 77 and -23
  Swap 77 and -23
  List after swap: [13, 27, 38, -23, 77, 90, 73]
  Compare 77 and 90
  No swap needed
  Compare 90 and 73
  Swap 90 and 73
  List after swap: [13, 27, 38, -23, 77, 73, 90]

Pass 2:
  Compare 13 and 27
  No swap needed
  Compare 27 and 38
  No swap needed
  Compare 38 and -23
  Swap 38 and -23
  List after swap: [13, 27, -23, 38, 77, 73, 90]
  Compare 38 and 77
  No swap needed
  Compare 77 and 73
  Swap 77 and 73
  List after swap: [13, 27, -23, 38, 73, 77, 90]

Pass 3:
  Compare 13 and 27
  No swap needed
  Compare 27 and -23
  Swap 27 and -23
  List after swap: [13, -23, 27, 38, 73, 77, 90]
  Compare 27 and 38
  No swap needed
  Compare 38 and 73
  No swap needed

Pass 4:
  Compare 13 and -23
  Swap 13 and -23
  List after swap: [-23, 13, 27, 38, 73, 77, 90]
  Compare 13 and 27
  No swap needed
  Compare 27 and 38
  No swap needed

Pass 5:
  Compare -23 and 13
  No swap needed
  Compare 13 and 27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-23, 13, 27, 38, 73, 77, 90]
</think>

<response>-23, 13, 27, 38, 73, 77, 90</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 55, 82, -14, 34.

output:
<think>
Initial list: [55, 82, -14, 34]

Pass 1:
  Compare 55 and 82
  No swap needed
  Compare 82 and -14
  Swap 82 and -14
  List after swap: [55, -14, 82, 34]
  Compare 82 and 34
  Swap 82 and 34
  List after swap: [55, -14, 34, 82]

Pass 2:
  Compare 55 and -14
  Swap 55 and -14
  List after swap: [-14, 55, 34, 82]
  Compare 55 and 34
  Swap 55 and 34
  List after swap: [-14, 34, 55, 82]

Pass 3:
  Compare -14 and 34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-14, 34, 55, 82]
</think>

<response>-14, 34, 55, 82</response>


input: Sort the list 11, 29, -79 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [11, 29, -79]

Pass 1:
  Compare 11 and 29
  No swap needed
  Compare 29 and -79
  Swap 29 and -79
  List after swap: [11, -79, 29]

Pass 2:
  Compare 11 and -79
  Swap 11 and -79
  List after swap: [-79, 11, 29]

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

Final sorted list: [-79, 11, 29]
</think>

<response>-79, 11, 29</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 74, 66, -27, 98.

output:
<think>
Initial list: [74, 66, -27, 98]

Pass 1:
  Compare 74 and 66
  Swap 74 and 66
  List after swap: [66, 74, -27, 98]
  Compare 74 and -27
  Swap 74 and -27
  List after swap: [66, -27, 74, 98]
  Compare 74 and 98
  No swap needed

Pass 2:
  Compare 66 and -27
  Swap 66 and -27
  List after swap: [-27, 66, 74, 98]
  Compare 66 and 74
  No swap needed

Pass 3:
  Compare -27 and 66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-27, 66, 74, 98]
</think>

<response>-27, 66, 74, 98</response>


input: Sort the list 58, -82, 65 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [58, -82, 65]

Pass 1:
  Compare 58 and -82
  Swap 58 and -82
  List after swap: [-82, 58, 65]
  Compare 58 and 65
  No swap needed

Pass 2:
  Compare -82 and 58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, 58, 65]
</think>

<response>-82, 58, 65</response>


input: Demonstrate how bubble sort orders the integers 79, -81, -94, 31, -64, -56, 91, 88, -14, -54 in ascending sequence, showing all steps.

output:
<think>
Initial list: [79, -81, -94, 31, -64, -56, 91, 88, -14, -54]

Pass 1:
  Compare 79 and -81
  Swap 79 and -81
  List after swap: [-81, 79, -94, 31, -64, -56, 91, 88, -14, -54]
  Compare 79 and -94
  Swap 79 and -94
  List after swap: [-81, -94, 79, 31, -64, -56, 91, 88, -14, -54]
  Compare 79 and 31
  Swap 79 and 31
  List after swap: [-81, -94, 31, 79, -64, -56, 91, 88, -14, -54]
  Compare 79 and -64
  Swap 79 and -64
  List after swap: [-81, -94, 31, -64, 79, -56, 91, 88, -14, -54]
  Compare 79 and -56
  Swap 79 and -56
  List after swap: [-81, -94, 31, -64, -56, 79, 91, 88, -14, -54]
  Compare 79 and 91
  No swap needed
  Compare 91 and 88
  Swap 91 and 88
  List after swap: [-81, -94, 31, -64, -56, 79, 88, 91, -14, -54]
  Compare 91 and -14
  Swap 91 and -14
  List after swap: [-81, -94, 31, -64, -56, 79, 88, -14, 91, -54]
  Compare 91 and -54
  Swap 91 and -54
  List after swap: [-81, -94, 31, -64, -56, 79, 88, -14, -54, 91]

Pass 2:
  Compare -81 and -94
  Swap -81 and -94
  List after swap: [-94, -81, 31, -64, -56, 79, 88, -14, -54, 91]
  Compare -81 and 31
  No swap needed
  Compare 31 and -64
  Swap 31 and -64
  List after swap: [-94, -81, -64, 31, -56, 79, 88, -14, -54, 91]
  Compare 31 and -56
  Swap 31 and -56
  List after swap: [-94, -81, -64, -56, 31, 79, 88, -14, -54, 91]
  Compare 31 and 79
  No swap needed
  Compare 79 and 88
  No swap needed
  Compare 88 and -14
  Swap 88 and -14
  List after swap: [-94, -81, -64, -56, 31, 79, -14, 88, -54, 91]
  Compare 88 and -54
  Swap 88 and -54
  List after swap: [-94, -81, -64, -56, 31, 79, -14, -54, 88, 91]

Pass 3:
  Compare -94 and -81
  No swap needed
  Compare -81 and -64
  No swap needed
  Compare -64 and -56
  No swap needed
  Compare -56 and 31
  No swap needed
  Compare 31 and 79
  No swap needed
  Compare 79 and -14
  Swap 79 and -14
  List after swap: [-94, -81, -64, -56, 31, -14, 79, -54, 88, 91]
  Compare 79 and -54
  Swap 79 and -54
  List after swap: [-94, -81, -64, -56, 31, -14, -54, 79, 88, 91]

Pass 4:
  Compare -94 and -81
  No swap needed
  Compare -81 and -64
  No swap needed
  Compare -64 and -56
  No swap needed
  Compare -56 and 31
  No swap needed
  Compare 31 and -14
  Swap 31 and -14
  List after swap: [-94, -81, -64, -56, -14, 31, -54, 79, 88, 91]
  Compare 31 and -54
  Swap 31 and -54
  List after swap: [-94, -81, -64, -56, -14, -54, 31, 79, 88, 91]

Pass 5:
  Compare -94 and -81
  No swap needed
  Compare -81 and -64
  No swap needed
  Compare -64 and -56
  No swap needed
  Compare -56 and -14
  No swap needed
  Compare -14 and -54
  Swap -14 and -54
  List after swap: [-94, -81, -64, -56, -54, -14, 31, 79, 88, 91]

Pass 6:
  Compare -94 and -81
  No swap needed
  Compare -81 and -64
  No swap needed
  Compare -64 and -56
  No swap needed
  Compare -56 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -81, -64, -56, -54, -14, 31, 79, 88, 91]
</think>

<response>-94, -81, -64, -56, -54, -14, 31, 79, 88, 91</response>


input: Arrange the numbers 66, 45, -1, 26, -93, -76 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [66, 45, -1, 26, -93, -76]

Pass 1:
  Compare 66 and 45
  Swap 66 and 45
  List after swap: [45, 66, -1, 26, -93, -76]
  Compare 66 and -1
  Swap 66 and -1
  List after swap: [45, -1, 66, 26, -93, -76]
  Compare 66 and 26
  Swap 66 and 26
  List after swap: [45, -1, 26, 66, -93, -76]
  Compare 66 and -93
  Swap 66 and -93
  List after swap: [45, -1, 26, -93, 66, -76]
  Compare 66 and -76
  Swap 66 and -76
  List after swap: [45, -1, 26, -93, -76, 66]

Pass 2:
  Compare 45 and -1
  Swap 45 and -1
  List after swap: [-1, 45, 26, -93, -76, 66]
  Compare 45 and 26
  Swap 45 and 26
  List after swap: [-1, 26, 45, -93, -76, 66]
  Compare 45 and -93
  Swap 45 and -93
  List after swap: [-1, 26, -93, 45, -76, 66]
  Compare 45 and -76
  Swap 45 and -76
  List after swap: [-1, 26, -93, -76, 45, 66]

Pass 3:
  Compare -1 and 26
  No swap needed
  Compare 26 and -93
  Swap 26 and -93
  List after swap: [-1, -93, 26, -76, 45, 66]
  Compare 26 and -76
  Swap 26 and -76
  List after swap: [-1, -93, -76, 26, 45, 66]

Pass 4:
  Compare -1 and -93
  Swap -1 and -93
  List after swap: [-93, -1, -76, 26, 45, 66]
  Compare -1 and -76
  Swap -1 and -76
  List after swap: [-93, -76, -1, 26, 45, 66]

Pass 5:
  Compare -93 and -76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -76, -1, 26, 45, 66]
</think>

<response>-93, -76, -1, 26, 45, 66</response>


input: Implement bubble sort on -85, -5, -51 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-85, -5, -51]

Pass 1:
  Compare -85 and -5
  No swap needed
  Compare -5 and -51
  Swap -5 and -51
  List after swap: [-85, -51, -5]

Pass 2:
  Compare -85 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -51, -5]
</think>

<response>-85, -51, -5</response>


input: Using the bubble sort method, sort 4, -20, -34, 61, 85, -84, 22, 41, 79 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [4, -20, -34, 61, 85, -84, 22, 41, 79]

Pass 1:
  Compare 4 and -20
  Swap 4 and -20
  List after swap: [-20, 4, -34, 61, 85, -84, 22, 41, 79]
  Compare 4 and -34
  Swap 4 and -34
  List after swap: [-20, -34, 4, 61, 85, -84, 22, 41, 79]
  Compare 4 and 61
  No swap needed
  Compare 61 and 85
  No swap needed
  Compare 85 and -84
  Swap 85 and -84
  List after swap: [-20, -34, 4, 61, -84, 85, 22, 41, 79]
  Compare 85 and 22
  Swap 85 and 22
  List after swap: [-20, -34, 4, 61, -84, 22, 85, 41, 79]
  Compare 85 and 41
  Swap 85 and 41
  List after swap: [-20, -34, 4, 61, -84, 22, 41, 85, 79]
  Compare 85 and 79
  Swap 85 and 79
  List after swap: [-20, -34, 4, 61, -84, 22, 41, 79, 85]

Pass 2:
  Compare -20 and -34
  Swap -20 and -34
  List after swap: [-34, -20, 4, 61, -84, 22, 41, 79, 85]
  Compare -20 and 4
  No swap needed
  Compare 4 and 61
  No swap needed
  Compare 61 and -84
  Swap 61 and -84
  List after swap: [-34, -20, 4, -84, 61, 22, 41, 79, 85]
  Compare 61 and 22
  Swap 61 and 22
  List after swap: [-34, -20, 4, -84, 22, 61, 41, 79, 85]
  Compare 61 and 41
  Swap 61 and 41
  List after swap: [-34, -20, 4, -84, 22, 41, 61, 79, 85]
  Compare 61 and 79
  No swap needed

Pass 3:
  Compare -34 and -20
  No swap needed
  Compare -20 and 4
  No swap needed
  Compare 4 and -84
  Swap 4 and -84
  List after swap: [-34, -20, -84, 4, 22, 41, 61, 79, 85]
  Compare 4 and 22
  No swap needed
  Compare 22 and 41
  No swap needed
  Compare 41 and 61
  No swap needed

Pass 4:
  Compare -34 and -20
  No swap needed
  Compare -20 and -84
  Swap -20 and -84
  List after swap: [-34, -84, -20, 4, 22, 41, 61, 79, 85]
  Compare -20 and 4
  No swap needed
  Compare 4 and 22
  No swap needed
  Compare 22 and 41
  No swap needed

Pass 5:
  Compare -34 and -84
  Swap -34 and -84
  List after swap: [-84, -34, -20, 4, 22, 41, 61, 79, 85]
  Compare -34 and -20
  No swap needed
  Compare -20 and 4
  No swap needed
  Compare 4 and 22
  No swap needed

Pass 6:
  Compare -84 and -34
  No swap needed
  Compare -34 and -20
  No swap needed
  Compare -20 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -34, -20, 4, 22, 41, 61, 79, 85]
</think>

<response>-84, -34, -20, 4, 22, 41, 61, 79, 85</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 37, -40, -54, -77, -80, -50, -6.

output:
<think>
Initial list: [37, -40, -54, -77, -80, -50, -6]

Pass 1:
  Compare 37 and -40
  Swap 37 and -40
  List after swap: [-40, 37, -54, -77, -80, -50, -6]
  Compare 37 and -54
  Swap 37 and -54
  List after swap: [-40, -54, 37, -77, -80, -50, -6]
  Compare 37 and -77
  Swap 37 and -77
  List after swap: [-40, -54, -77, 37, -80, -50, -6]
  Compare 37 and -80
  Swap 37 and -80
  List after swap: [-40, -54, -77, -80, 37, -50, -6]
  Compare 37 and -50
  Swap 37 and -50
  List after swap: [-40, -54, -77, -80, -50, 37, -6]
  Compare 37 and -6
  Swap 37 and -6
  List after swap: [-40, -54, -77, -80, -50, -6, 37]

Pass 2:
  Compare -40 and -54
  Swap -40 and -54
  List after swap: [-54, -40, -77, -80, -50, -6, 37]
  Compare -40 and -77
  Swap -40 and -77
  List after swap: [-54, -77, -40, -80, -50, -6, 37]
  Compare -40 and -80
  Swap -40 and -80
  List after swap: [-54, -77, -80, -40, -50, -6, 37]
  Compare -40 and -50
  Swap -40 and -50
  List after swap: [-54, -77, -80, -50, -40, -6, 37]
  Compare -40 and -6
  No swap needed

Pass 3:
  Compare -54 and -77
  Swap -54 and -77
  List after swap: [-77, -54, -80, -50, -40, -6, 37]
  Compare -54 and -80
  Swap -54 and -80
  List after swap: [-77, -80, -54, -50, -40, -6, 37]
  Compare -54 and -50
  No swap needed
  Compare -50 and -40
  No swap needed

Pass 4:
  Compare -77 and -80
  Swap -77 and -80
  List after swap: [-80, -77, -54, -50, -40, -6, 37]
  Compare -77 and -54
  No swap needed
  Compare -54 and -50
  No swap needed

Pass 5:
  Compare -80 and -77
  No swap needed
  Compare -77 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -77, -54, -50, -40, -6, 37]
</think>

<response>-80, -77, -54, -50, -40, -6, 37</response>


input: Execute bubble sort to sort -67, 70, -100, -12, -99, 22, 69, 4, 38, -68 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-67, 70, -100, -12, -99, 22, 69, 4, 38, -68]

Pass 1:
  Compare -67 and 70
  No swap needed
  Compare 70 and -100
  Swap 70 and -100
  List after swap: [-67, -100, 70, -12, -99, 22, 69, 4, 38, -68]
  Compare 70 and -12
  Swap 70 and -12
  List after swap: [-67, -100, -12, 70, -99, 22, 69, 4, 38, -68]
  Compare 70 and -99
  Swap 70 and -99
  List after swap: [-67, -100, -12, -99, 70, 22, 69, 4, 38, -68]
  Compare 70 and 22
  Swap 70 and 22
  List after swap: [-67, -100, -12, -99, 22, 70, 69, 4, 38, -68]
  Compare 70 and 69
  Swap 70 and 69
  List after swap: [-67, -100, -12, -99, 22, 69, 70, 4, 38, -68]
  Compare 70 and 4
  Swap 70 and 4
  List after swap: [-67, -100, -12, -99, 22, 69, 4, 70, 38, -68]
  Compare 70 and 38
  Swap 70 and 38
  List after swap: [-67, -100, -12, -99, 22, 69, 4, 38, 70, -68]
  Compare 70 and -68
  Swap 70 and -68
  List after swap: [-67, -100, -12, -99, 22, 69, 4, 38, -68, 70]

Pass 2:
  Compare -67 and -100
  Swap -67 and -100
  List after swap: [-100, -67, -12, -99, 22, 69, 4, 38, -68, 70]
  Compare -67 and -12
  No swap needed
  Compare -12 and -99
  Swap -12 and -99
  List after swap: [-100, -67, -99, -12, 22, 69, 4, 38, -68, 70]
  Compare -12 and 22
  No swap needed
  Compare 22 and 69
  No swap needed
  Compare 69 and 4
  Swap 69 and 4
  List after swap: [-100, -67, -99, -12, 22, 4, 69, 38, -68, 70]
  Compare 69 and 38
  Swap 69 and 38
  List after swap: [-100, -67, -99, -12, 22, 4, 38, 69, -68, 70]
  Compare 69 and -68
  Swap 69 and -68
  List after swap: [-100, -67, -99, -12, 22, 4, 38, -68, 69, 70]

Pass 3:
  Compare -100 and -67
  No swap needed
  Compare -67 and -99
  Swap -67 and -99
  List after swap: [-100, -99, -67, -12, 22, 4, 38, -68, 69, 70]
  Compare -67 and -12
  No swap needed
  Compare -12 and 22
  No swap needed
  Compare 22 and 4
  Swap 22 and 4
  List after swap: [-100, -99, -67, -12, 4, 22, 38, -68, 69, 70]
  Compare 22 and 38
  No swap needed
  Compare 38 and -68
  Swap 38 and -68
  List after swap: [-100, -99, -67, -12, 4, 22, -68, 38, 69, 70]

Pass 4:
  Compare -100 and -99
  No swap needed
  Compare -99 and -67
  No swap needed
  Compare -67 and -12
  No swap needed
  Compare -12 and 4
  No swap needed
  Compare 4 and 22
  No swap needed
  Compare 22 and -68
  Swap 22 and -68
  List after swap: [-100, -99, -67, -12, 4, -68, 22, 38, 69, 70]

Pass 5:
  Compare -100 and -99
  No swap needed
  Compare -99 and -67
  No swap needed
  Compare -67 and -12
  No swap needed
  Compare -12 and 4
  No swap needed
  Compare 4 and -68
  Swap 4 and -68
  List after swap: [-100, -99, -67, -12, -68, 4, 22, 38, 69, 70]

Pass 6:
  Compare -100 and -99
  No swap needed
  Compare -99 and -67
  No swap needed
  Compare -67 and -12
  No swap needed
  Compare -12 and -68
  Swap -12 and -68
  List after swap: [-100, -99, -67, -68, -12, 4, 22, 38, 69, 70]

Pass 7:
  Compare -100 and -99
  No swap needed
  Compare -99 and -67
  No swap needed
  Compare -67 and -68
  Swap -67 and -68
  List after swap: [-100, -99, -68, -67, -12, 4, 22, 38, 69, 70]

Pass 8:
  Compare -100 and -99
  No swap needed
  Compare -99 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -99, -68, -67, -12, 4, 22, 38, 69, 70]
</think>

<response>-100, -99, -68, -67, -12, 4, 22, 38, 69, 70</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 57, -55, -59, 54, 83, -61, -70, -69, 18, 92.

output:
<think>
Initial list: [57, -55, -59, 54, 83, -61, -70, -69, 18, 92]

Pass 1:
  Compare 57 and -55
  Swap 57 and -55
  List after swap: [-55, 57, -59, 54, 83, -61, -70, -69, 18, 92]
  Compare 57 and -59
  Swap 57 and -59
  List after swap: [-55, -59, 57, 54, 83, -61, -70, -69, 18, 92]
  Compare 57 and 54
  Swap 57 and 54
  List after swap: [-55, -59, 54, 57, 83, -61, -70, -69, 18, 92]
  Compare 57 and 83
  No swap needed
  Compare 83 and -61
  Swap 83 and -61
  List after swap: [-55, -59, 54, 57, -61, 83, -70, -69, 18, 92]
  Compare 83 and -70
  Swap 83 and -70
  List after swap: [-55, -59, 54, 57, -61, -70, 83, -69, 18, 92]
  Compare 83 and -69
  Swap 83 and -69
  List after swap: [-55, -59, 54, 57, -61, -70, -69, 83, 18, 92]
  Compare 83 and 18
  Swap 83 and 18
  List after swap: [-55, -59, 54, 57, -61, -70, -69, 18, 83, 92]
  Compare 83 and 92
  No swap needed

Pass 2:
  Compare -55 and -59
  Swap -55 and -59
  List after swap: [-59, -55, 54, 57, -61, -70, -69, 18, 83, 92]
  Compare -55 and 54
  No swap needed
  Compare 54 and 57
  No swap needed
  Compare 57 and -61
  Swap 57 and -61
  List after swap: [-59, -55, 54, -61, 57, -70, -69, 18, 83, 92]
  Compare 57 and -70
  Swap 57 and -70
  List after swap: [-59, -55, 54, -61, -70, 57, -69, 18, 83, 92]
  Compare 57 and -69
  Swap 57 and -69
  List after swap: [-59, -55, 54, -61, -70, -69, 57, 18, 83, 92]
  Compare 57 and 18
  Swap 57 and 18
  List after swap: [-59, -55, 54, -61, -70, -69, 18, 57, 83, 92]
  Compare 57 and 83
  No swap needed

Pass 3:
  Compare -59 and -55
  No swap needed
  Compare -55 and 54
  No swap needed
  Compare 54 and -61
  Swap 54 and -61
  List after swap: [-59, -55, -61, 54, -70, -69, 18, 57, 83, 92]
  Compare 54 and -70
  Swap 54 and -70
  List after swap: [-59, -55, -61, -70, 54, -69, 18, 57, 83, 92]
  Compare 54 and -69
  Swap 54 and -69
  List after swap: [-59, -55, -61, -70, -69, 54, 18, 57, 83, 92]
  Compare 54 and 18
  Swap 54 and 18
  List after swap: [-59, -55, -61, -70, -69, 18, 54, 57, 83, 92]
  Compare 54 and 57
  No swap needed

Pass 4:
  Compare -59 and -55
  No swap needed
  Compare -55 and -61
  Swap -55 and -61
  List after swap: [-59, -61, -55, -70, -69, 18, 54, 57, 83, 92]
  Compare -55 and -70
  Swap -55 and -70
  List after swap: [-59, -61, -70, -55, -69, 18, 54, 57, 83, 92]
  Compare -55 and -69
  Swap -55 and -69
  List after swap: [-59, -61, -70, -69, -55, 18, 54, 57, 83, 92]
  Compare -55 and 18
  No swap needed
  Compare 18 and 54
  No swap needed

Pass 5:
  Compare -59 and -61
  Swap -59 and -61
  List after swap: [-61, -59, -70, -69, -55, 18, 54, 57, 83, 92]
  Compare -59 and -70
  Swap -59 and -70
  List after swap: [-61, -70, -59, -69, -55, 18, 54, 57, 83, 92]
  Compare -59 and -69
  Swap -59 and -69
  List after swap: [-61, -70, -69, -59, -55, 18, 54, 57, 83, 92]
  Compare -59 and -55
  No swap needed
  Compare -55 and 18
  No swap needed

Pass 6:
  Compare -61 and -70
  Swap -61 and -70
  List after swap: [-70, -61, -69, -59, -55, 18, 54, 57, 83, 92]
  Compare -61 and -69
  Swap -61 and -69
  List after swap: [-70, -69, -61, -59, -55, 18, 54, 57, 83, 92]
  Compare -61 and -59
  No swap needed
  Compare -59 and -55
  No swap needed

Pass 7:
  Compare -70 and -69
  No swap needed
  Compare -69 and -61
  No swap needed
  Compare -61 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -69, -61, -59, -55, 18, 54, 57, 83, 92]
</think>

<response>-70, -69, -61, -59, -55, 18, 54, 57, 83, 92</response>


input: Execute bubble sort to sort 42, -24, 91 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [42, -24, 91]

Pass 1:
  Compare 42 and -24
  Swap 42 and -24
  List after swap: [-24, 42, 91]
  Compare 42 and 91
  No swap needed

Pass 2:
  Compare -24 and 42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-24, 42, 91]
</think>

<response>-24, 42, 91</response>


input: Sort these integers -96, -46 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-96, -46]

Pass 1:
  Compare -96 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -46]
</think>

<response>-96, -46</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -42, 86.

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

Pass 1:
  Compare -42 and 86
  No swap needed
  No swaps in this pass, list is sorted.

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

<response>-42, 86</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 58, -64, 65, -13, 51.

output:
<think>
Initial list: [58, -64, 65, -13, 51]

Pass 1:
  Compare 58 and -64
  Swap 58 and -64
  List after swap: [-64, 58, 65, -13, 51]
  Compare 58 and 65
  No swap needed
  Compare 65 and -13
  Swap 65 and -13
  List after swap: [-64, 58, -13, 65, 51]
  Compare 65 and 51
  Swap 65 and 51
  List after swap: [-64, 58, -13, 51, 65]

Pass 2:
  Compare -64 and 58
  No swap needed
  Compare 58 and -13
  Swap 58 and -13
  List after swap: [-64, -13, 58, 51, 65]
  Compare 58 and 51
  Swap 58 and 51
  List after swap: [-64, -13, 51, 58, 65]

Pass 3:
  Compare -64 and -13
  No swap needed
  Compare -13 and 51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -13, 51, 58, 65]
</think>

<response>-64, -13, 51, 58, 65</response>


input: Demonstrate how bubble sort orders the integers -8, 80, -83, 30, 46, 34, -73 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-8, 80, -83, 30, 46, 34, -73]

Pass 1:
  Compare -8 and 80
  No swap needed
  Compare 80 and -83
  Swap 80 and -83
  List after swap: [-8, -83, 80, 30, 46, 34, -73]
  Compare 80 and 30
  Swap 80 and 30
  List after swap: [-8, -83, 30, 80, 46, 34, -73]
  Compare 80 and 46
  Swap 80 and 46
  List after swap: [-8, -83, 30, 46, 80, 34, -73]
  Compare 80 and 34
  Swap 80 and 34
  List after swap: [-8, -83, 30, 46, 34, 80, -73]
  Compare 80 and -73
  Swap 80 and -73
  List after swap: [-8, -83, 30, 46, 34, -73, 80]

Pass 2:
  Compare -8 and -83
  Swap -8 and -83
  List after swap: [-83, -8, 30, 46, 34, -73, 80]
  Compare -8 and 30
  No swap needed
  Compare 30 and 46
  No swap needed
  Compare 46 and 34
  Swap 46 and 34
  List after swap: [-83, -8, 30, 34, 46, -73, 80]
  Compare 46 and -73
  Swap 46 and -73
  List after swap: [-83, -8, 30, 34, -73, 46, 80]

Pass 3:
  Compare -83 and -8
  No swap needed
  Compare -8 and 30
  No swap needed
  Compare 30 and 34
  No swap needed
  Compare 34 and -73
  Swap 34 and -73
  List after swap: [-83, -8, 30, -73, 34, 46, 80]

Pass 4:
  Compare -83 and -8
  No swap needed
  Compare -8 and 30
  No swap needed
  Compare 30 and -73
  Swap 30 and -73
  List after swap: [-83, -8, -73, 30, 34, 46, 80]

Pass 5:
  Compare -83 and -8
  No swap needed
  Compare -8 and -73
  Swap -8 and -73
  List after swap: [-83, -73, -8, 30, 34, 46, 80]

Pass 6:
  Compare -83 and -73
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -73, -8, 30, 34, 46, 80]
</think>

<response>-83, -73, -8, 30, 34, 46, 80</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -2, 38, 35, -60, -13, 76, 80.

output:
<think>
Initial list: [-2, 38, 35, -60, -13, 76, 80]

Pass 1:
  Compare -2 and 38
  No swap needed
  Compare 38 and 35
  Swap 38 and 35
  List after swap: [-2, 35, 38, -60, -13, 76, 80]
  Compare 38 and -60
  Swap 38 and -60
  List after swap: [-2, 35, -60, 38, -13, 76, 80]
  Compare 38 and -13
  Swap 38 and -13
  List after swap: [-2, 35, -60, -13, 38, 76, 80]
  Compare 38 and 76
  No swap needed
  Compare 76 and 80
  No swap needed

Pass 2:
  Compare -2 and 35
  No swap needed
  Compare 35 and -60
  Swap 35 and -60
  List after swap: [-2, -60, 35, -13, 38, 76, 80]
  Compare 35 and -13
  Swap 35 and -13
  List after swap: [-2, -60, -13, 35, 38, 76, 80]
  Compare 35 and 38
  No swap needed
  Compare 38 and 76
  No swap needed

Pass 3:
  Compare -2 and -60
  Swap -2 and -60
  List after swap: [-60, -2, -13, 35, 38, 76, 80]
  Compare -2 and -13
  Swap -2 and -13
  List after swap: [-60, -13, -2, 35, 38, 76, 80]
  Compare -2 and 35
  No swap needed
  Compare 35 and 38
  No swap needed

Pass 4:
  Compare -60 and -13
  No swap needed
  Compare -13 and -2
  No swap needed
  Compare -2 and 35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -13, -2, 35, 38, 76, 80]
</think>

<response>-60, -13, -2, 35, 38, 76, 80</response>


input: Execute bubble sort to sort -75, -69, -11, -55, 21, 94 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-75, -69, -11, -55, 21, 94]

Pass 1:
  Compare -75 and -69
  No swap needed
  Compare -69 and -11
  No swap needed
  Compare -11 and -55
  Swap -11 and -55
  List after swap: [-75, -69, -55, -11, 21, 94]
  Compare -11 and 21
  No swap needed
  Compare 21 and 94
  No swap needed

Pass 2:
  Compare -75 and -69
  No swap needed
  Compare -69 and -55
  No swap needed
  Compare -55 and -11
  No swap needed
  Compare -11 and 21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -69, -55, -11, 21, 94]
</think>

<response>-75, -69, -55, -11, 21, 94</response>


input: Arrange the numbers 25, 43, -43, 92, 88, -92, -94, -24, -27, 31 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [25, 43, -43, 92, 88, -92, -94, -24, -27, 31]

Pass 1:
  Compare 25 and 43
  No swap needed
  Compare 43 and -43
  Swap 43 and -43
  List after swap: [25, -43, 43, 92, 88, -92, -94, -24, -27, 31]
  Compare 43 and 92
  No swap needed
  Compare 92 and 88
  Swap 92 and 88
  List after swap: [25, -43, 43, 88, 92, -92, -94, -24, -27, 31]
  Compare 92 and -92
  Swap 92 and -92
  List after swap: [25, -43, 43, 88, -92, 92, -94, -24, -27, 31]
  Compare 92 and -94
  Swap 92 and -94
  List after swap: [25, -43, 43, 88, -92, -94, 92, -24, -27, 31]
  Compare 92 and -24
  Swap 92 and -24
  List after swap: [25, -43, 43, 88, -92, -94, -24, 92, -27, 31]
  Compare 92 and -27
  Swap 92 and -27
  List after swap: [25, -43, 43, 88, -92, -94, -24, -27, 92, 31]
  Compare 92 and 31
  Swap 92 and 31
  List after swap: [25, -43, 43, 88, -92, -94, -24, -27, 31, 92]

Pass 2:
  Compare 25 and -43
  Swap 25 and -43
  List after swap: [-43, 25, 43, 88, -92, -94, -24, -27, 31, 92]
  Compare 25 and 43
  No swap needed
  Compare 43 and 88
  No swap needed
  Compare 88 and -92
  Swap 88 and -92
  List after swap: [-43, 25, 43, -92, 88, -94, -24, -27, 31, 92]
  Compare 88 and -94
  Swap 88 and -94
  List after swap: [-43, 25, 43, -92, -94, 88, -24, -27, 31, 92]
  Compare 88 and -24
  Swap 88 and -24
  List after swap: [-43, 25, 43, -92, -94, -24, 88, -27, 31, 92]
  Compare 88 and -27
  Swap 88 and -27
  List after swap: [-43, 25, 43, -92, -94, -24, -27, 88, 31, 92]
  Compare 88 and 31
  Swap 88 and 31
  List after swap: [-43, 25, 43, -92, -94, -24, -27, 31, 88, 92]

Pass 3:
  Compare -43 and 25
  No swap needed
  Compare 25 and 43
  No swap needed
  Compare 43 and -92
  Swap 43 and -92
  List after swap: [-43, 25, -92, 43, -94, -24, -27, 31, 88, 92]
  Compare 43 and -94
  Swap 43 and -94
  List after swap: [-43, 25, -92, -94, 43, -24, -27, 31, 88, 92]
  Compare 43 and -24
  Swap 43 and -24
  List after swap: [-43, 25, -92, -94, -24, 43, -27, 31, 88, 92]
  Compare 43 and -27
  Swap 43 and -27
  List after swap: [-43, 25, -92, -94, -24, -27, 43, 31, 88, 92]
  Compare 43 and 31
  Swap 43 and 31
  List after swap: [-43, 25, -92, -94, -24, -27, 31, 43, 88, 92]

Pass 4:
  Compare -43 and 25
  No swap needed
  Compare 25 and -92
  Swap 25 and -92
  List after swap: [-43, -92, 25, -94, -24, -27, 31, 43, 88, 92]
  Compare 25 and -94
  Swap 25 and -94
  List after swap: [-43, -92, -94, 25, -24, -27, 31, 43, 88, 92]
  Compare 25 and -24
  Swap 25 and -24
  List after swap: [-43, -92, -94, -24, 25, -27, 31, 43, 88, 92]
  Compare 25 and -27
  Swap 25 and -27
  List after swap: [-43, -92, -94, -24, -27, 25, 31, 43, 88, 92]
  Compare 25 and 31
  No swap needed

Pass 5:
  Compare -43 and -92
  Swap -43 and -92
  List after swap: [-92, -43, -94, -24, -27, 25, 31, 43, 88, 92]
  Compare -43 and -94
  Swap -43 and -94
  List after swap: [-92, -94, -43, -24, -27, 25, 31, 43, 88, 92]
  Compare -43 and -24
  No swap needed
  Compare -24 and -27
  Swap -24 and -27
  List after swap: [-92, -94, -43, -27, -24, 25, 31, 43, 88, 92]
  Compare -24 and 25
  No swap needed

Pass 6:
  Compare -92 and -94
  Swap -92 and -94
  List after swap: [-94, -92, -43, -27, -24, 25, 31, 43, 88, 92]
  Compare -92 and -43
  No swap needed
  Compare -43 and -27
  No swap needed
  Compare -27 and -24
  No swap needed

Pass 7:
  Compare -94 and -92
  No swap needed
  Compare -92 and -43
  No swap needed
  Compare -43 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -92, -43, -27, -24, 25, 31, 43, 88, 92]
</think>

<response>-94, -92, -43, -27, -24, 25, 31, 43, 88, 92</response>


input: Implement bubble sort on -76, 37, 11, 82, 55 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-76, 37, 11, 82, 55]

Pass 1:
  Compare -76 and 37
  No swap needed
  Compare 37 and 11
  Swap 37 and 11
  List after swap: [-76, 11, 37, 82, 55]
  Compare 37 and 82
  No swap needed
  Compare 82 and 55
  Swap 82 and 55
  List after swap: [-76, 11, 37, 55, 82]

Pass 2:
  Compare -76 and 11
  No swap needed
  Compare 11 and 37
  No swap needed
  Compare 37 and 55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, 11, 37, 55, 82]
</think>

<response>-76, 11, 37, 55, 82</response>


input: Use the bubble sort technique to reorder 67, -72, 59, -54, 46, 19, 74 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [67, -72, 59, -54, 46, 19, 74]

Pass 1:
  Compare 67 and -72
  Swap 67 and -72
  List after swap: [-72, 67, 59, -54, 46, 19, 74]
  Compare 67 and 59
  Swap 67 and 59
  List after swap: [-72, 59, 67, -54, 46, 19, 74]
  Compare 67 and -54
  Swap 67 and -54
  List after swap: [-72, 59, -54, 67, 46, 19, 74]
  Compare 67 and 46
  Swap 67 and 46
  List after swap: [-72, 59, -54, 46, 67, 19, 74]
  Compare 67 and 19
  Swap 67 and 19
  List after swap: [-72, 59, -54, 46, 19, 67, 74]
  Compare 67 and 74
  No swap needed

Pass 2:
  Compare -72 and 59
  No swap needed
  Compare 59 and -54
  Swap 59 and -54
  List after swap: [-72, -54, 59, 46, 19, 67, 74]
  Compare 59 and 46
  Swap 59 and 46
  List after swap: [-72, -54, 46, 59, 19, 67, 74]
  Compare 59 and 19
  Swap 59 and 19
  List after swap: [-72, -54, 46, 19, 59, 67, 74]
  Compare 59 and 67
  No swap needed

Pass 3:
  Compare -72 and -54
  No swap needed
  Compare -54 and 46
  No swap needed
  Compare 46 and 19
  Swap 46 and 19
  List after swap: [-72, -54, 19, 46, 59, 67, 74]
  Compare 46 and 59
  No swap needed

Pass 4:
  Compare -72 and -54
  No swap needed
  Compare -54 and 19
  No swap needed
  Compare 19 and 46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -54, 19, 46, 59, 67, 74]
</think>

<response>-72, -54, 19, 46, 59, 67, 74</response>


input: Sort the list 87, -80, 28, 10, 84, 15, -15, -54, 16 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [87, -80, 28, 10, 84, 15, -15, -54, 16]

Pass 1:
  Compare 87 and -80
  Swap 87 and -80
  List after swap: [-80, 87, 28, 10, 84, 15, -15, -54, 16]
  Compare 87 and 28
  Swap 87 and 28
  List after swap: [-80, 28, 87, 10, 84, 15, -15, -54, 16]
  Compare 87 and 10
  Swap 87 and 10
  List after swap: [-80, 28, 10, 87, 84, 15, -15, -54, 16]
  Compare 87 and 84
  Swap 87 and 84
  List after swap: [-80, 28, 10, 84, 87, 15, -15, -54, 16]
  Compare 87 and 15
  Swap 87 and 15
  List after swap: [-80, 28, 10, 84, 15, 87, -15, -54, 16]
  Compare 87 and -15
  Swap 87 and -15
  List after swap: [-80, 28, 10, 84, 15, -15, 87, -54, 16]
  Compare 87 and -54
  Swap 87 and -54
  List after swap: [-80, 28, 10, 84, 15, -15, -54, 87, 16]
  Compare 87 and 16
  Swap 87 and 16
  List after swap: [-80, 28, 10, 84, 15, -15, -54, 16, 87]

Pass 2:
  Compare -80 and 28
  No swap needed
  Compare 28 and 10
  Swap 28 and 10
  List after swap: [-80, 10, 28, 84, 15, -15, -54, 16, 87]
  Compare 28 and 84
  No swap needed
  Compare 84 and 15
  Swap 84 and 15
  List after swap: [-80, 10, 28, 15, 84, -15, -54, 16, 87]
  Compare 84 and -15
  Swap 84 and -15
  List after swap: [-80, 10, 28, 15, -15, 84, -54, 16, 87]
  Compare 84 and -54
  Swap 84 and -54
  List after swap: [-80, 10, 28, 15, -15, -54, 84, 16, 87]
  Compare 84 and 16
  Swap 84 and 16
  List after swap: [-80, 10, 28, 15, -15, -54, 16, 84, 87]

Pass 3:
  Compare -80 and 10
  No swap needed
  Compare 10 and 28
  No swap needed
  Compare 28 and 15
  Swap 28 and 15
  List after swap: [-80, 10, 15, 28, -15, -54, 16, 84, 87]
  Compare 28 and -15
  Swap 28 and -15
  List after swap: [-80, 10, 15, -15, 28, -54, 16, 84, 87]
  Compare 28 and -54
  Swap 28 and -54
  List after swap: [-80, 10, 15, -15, -54, 28, 16, 84, 87]
  Compare 28 and 16
  Swap 28 and 16
  List after swap: [-80, 10, 15, -15, -54, 16, 28, 84, 87]

Pass 4:
  Compare -80 and 10
  No swap needed
  Compare 10 and 15
  No swap needed
  Compare 15 and -15
  Swap 15 and -15
  List after swap: [-80, 10, -15, 15, -54, 16, 28, 84, 87]
  Compare 15 and -54
  Swap 15 and -54
  List after swap: [-80, 10, -15, -54, 15, 16, 28, 84, 87]
  Compare 15 and 16
  No swap needed

Pass 5:
  Compare -80 and 10
  No swap needed
  Compare 10 and -15
  Swap 10 and -15
  List after swap: [-80, -15, 10, -54, 15, 16, 28, 84, 87]
  Compare 10 and -54
  Swap 10 and -54
  List after swap: [-80, -15, -54, 10, 15, 16, 28, 84, 87]
  Compare 10 and 15
  No swap needed

Pass 6:
  Compare -80 and -15
  No swap needed
  Compare -15 and -54
  Swap -15 and -54
  List after swap: [-80, -54, -15, 10, 15, 16, 28, 84, 87]
  Compare -15 and 10
  No swap needed

Pass 7:
  Compare -80 and -54
  No swap needed
  Compare -54 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -54, -15, 10, 15, 16, 28, 84, 87]
</think>

<response>-80, -54, -15, 10, 15, 16, 28, 84, 87</response>


input: Use the bubble sort technique to reorder -24, -93 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-24, -93]

Pass 1:
  Compare -24 and -93
  Swap -24 and -93
  List after swap: [-93, -24]

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

Final sorted list: [-93, -24]
</think>

<response>-93, -24</response>


input: Sort these integers 87, 88, 86, -59, 64, -94, 29, 35 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [87, 88, 86, -59, 64, -94, 29, 35]

Pass 1:
  Compare 87 and 88
  No swap needed
  Compare 88 and 86
  Swap 88 and 86
  List after swap: [87, 86, 88, -59, 64, -94, 29, 35]
  Compare 88 and -59
  Swap 88 and -59
  List after swap: [87, 86, -59, 88, 64, -94, 29, 35]
  Compare 88 and 64
  Swap 88 and 64
  List after swap: [87, 86, -59, 64, 88, -94, 29, 35]
  Compare 88 and -94
  Swap 88 and -94
  List after swap: [87, 86, -59, 64, -94, 88, 29, 35]
  Compare 88 and 29
  Swap 88 and 29
  List after swap: [87, 86, -59, 64, -94, 29, 88, 35]
  Compare 88 and 35
  Swap 88 and 35
  List after swap: [87, 86, -59, 64, -94, 29, 35, 88]

Pass 2:
  Compare 87 and 86
  Swap 87 and 86
  List after swap: [86, 87, -59, 64, -94, 29, 35, 88]
  Compare 87 and -59
  Swap 87 and -59
  List after swap: [86, -59, 87, 64, -94, 29, 35, 88]
  Compare 87 and 64
  Swap 87 and 64
  List after swap: [86, -59, 64, 87, -94, 29, 35, 88]
  Compare 87 and -94
  Swap 87 and -94
  List after swap: [86, -59, 64, -94, 87, 29, 35, 88]
  Compare 87 and 29
  Swap 87 and 29
  List after swap: [86, -59, 64, -94, 29, 87, 35, 88]
  Compare 87 and 35
  Swap 87 and 35
  List after swap: [86, -59, 64, -94, 29, 35, 87, 88]

Pass 3:
  Compare 86 and -59
  Swap 86 and -59
  List after swap: [-59, 86, 64, -94, 29, 35, 87, 88]
  Compare 86 and 64
  Swap 86 and 64
  List after swap: [-59, 64, 86, -94, 29, 35, 87, 88]
  Compare 86 and -94
  Swap 86 and -94
  List after swap: [-59, 64, -94, 86, 29, 35, 87, 88]
  Compare 86 and 29
  Swap 86 and 29
  List after swap: [-59, 64, -94, 29, 86, 35, 87, 88]
  Compare 86 and 35
  Swap 86 and 35
  List after swap: [-59, 64, -94, 29, 35, 86, 87, 88]

Pass 4:
  Compare -59 and 64
  No swap needed
  Compare 64 and -94
  Swap 64 and -94
  List after swap: [-59, -94, 64, 29, 35, 86, 87, 88]
  Compare 64 and 29
  Swap 64 and 29
  List after swap: [-59, -94, 29, 64, 35, 86, 87, 88]
  Compare 64 and 35
  Swap 64 and 35
  List after swap: [-59, -94, 29, 35, 64, 86, 87, 88]

Pass 5:
  Compare -59 and -94
  Swap -59 and -94
  List after swap: [-94, -59, 29, 35, 64, 86, 87, 88]
  Compare -59 and 29
  No swap needed
  Compare 29 and 35
  No swap needed

Pass 6:
  Compare -94 and -59
  No swap needed
  Compare -59 and 29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -59, 29, 35, 64, 86, 87, 88]
</think>

<response>-94, -59, 29, 35, 64, 86, 87, 88</response>


input: Execute bubble sort to sort -30, 0, 35, -26, -32, -29, 67 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-30, 0, 35, -26, -32, -29, 67]

Pass 1:
  Compare -30 and 0
  No swap needed
  Compare 0 and 35
  No swap needed
  Compare 35 and -26
  Swap 35 and -26
  List after swap: [-30, 0, -26, 35, -32, -29, 67]
  Compare 35 and -32
  Swap 35 and -32
  List after swap: [-30, 0, -26, -32, 35, -29, 67]
  Compare 35 and -29
  Swap 35 and -29
  List after swap: [-30, 0, -26, -32, -29, 35, 67]
  Compare 35 and 67
  No swap needed

Pass 2:
  Compare -30 and 0
  No swap needed
  Compare 0 and -26
  Swap 0 and -26
  List after swap: [-30, -26, 0, -32, -29, 35, 67]
  Compare 0 and -32
  Swap 0 and -32
  List after swap: [-30, -26, -32, 0, -29, 35, 67]
  Compare 0 and -29
  Swap 0 and -29
  List after swap: [-30, -26, -32, -29, 0, 35, 67]
  Compare 0 and 35
  No swap needed

Pass 3:
  Compare -30 and -26
  No swap needed
  Compare -26 and -32
  Swap -26 and -32
  List after swap: [-30, -32, -26, -29, 0, 35, 67]
  Compare -26 and -29
  Swap -26 and -29
  List after swap: [-30, -32, -29, -26, 0, 35, 67]
  Compare -26 and 0
  No swap needed

Pass 4:
  Compare -30 and -32
  Swap -30 and -32
  List after swap: [-32, -30, -29, -26, 0, 35, 67]
  Compare -30 and -29
  No swap needed
  Compare -29 and -26
  No swap needed

Pass 5:
  Compare -32 and -30
  No swap needed
  Compare -30 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-32, -30, -29, -26, 0, 35, 67]
</think>

<response>-32, -30, -29, -26, 0, 35, 67</response>


input: Carry out the bubble sort algorithm on -61, 73, 19, 38, 94, 7, 34, 83 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-61, 73, 19, 38, 94, 7, 34, 83]

Pass 1:
  Compare -61 and 73
  No swap needed
  Compare 73 and 19
  Swap 73 and 19
  List after swap: [-61, 19, 73, 38, 94, 7, 34, 83]
  Compare 73 and 38
  Swap 73 and 38
  List after swap: [-61, 19, 38, 73, 94, 7, 34, 83]
  Compare 73 and 94
  No swap needed
  Compare 94 and 7
  Swap 94 and 7
  List after swap: [-61, 19, 38, 73, 7, 94, 34, 83]
  Compare 94 and 34
  Swap 94 and 34
  List after swap: [-61, 19, 38, 73, 7, 34, 94, 83]
  Compare 94 and 83
  Swap 94 and 83
  List after swap: [-61, 19, 38, 73, 7, 34, 83, 94]

Pass 2:
  Compare -61 and 19
  No swap needed
  Compare 19 and 38
  No swap needed
  Compare 38 and 73
  No swap needed
  Compare 73 and 7
  Swap 73 and 7
  List after swap: [-61, 19, 38, 7, 73, 34, 83, 94]
  Compare 73 and 34
  Swap 73 and 34
  List after swap: [-61, 19, 38, 7, 34, 73, 83, 94]
  Compare 73 and 83
  No swap needed

Pass 3:
  Compare -61 and 19
  No swap needed
  Compare 19 and 38
  No swap needed
  Compare 38 and 7
  Swap 38 and 7
  List after swap: [-61, 19, 7, 38, 34, 73, 83, 94]
  Compare 38 and 34
  Swap 38 and 34
  List after swap: [-61, 19, 7, 34, 38, 73, 83, 94]
  Compare 38 and 73
  No swap needed

Pass 4:
  Compare -61 and 19
  No swap needed
  Compare 19 and 7
  Swap 19 and 7
  List after swap: [-61, 7, 19, 34, 38, 73, 83, 94]
  Compare 19 and 34
  No swap needed
  Compare 34 and 38
  No swap needed

Pass 5:
  Compare -61 and 7
  No swap needed
  Compare 7 and 19
  No swap needed
  Compare 19 and 34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, 7, 19, 34, 38, 73, 83, 94]
</think>

<response>-61, 7, 19, 34, 38, 73, 83, 94</response>


input: Demonstrate how bubble sort orders the integers 77, -5, 30, -36, 9, 7, -10, 44, 76 in ascending sequence, showing all steps.

output:
<think>
Initial list: [77, -5, 30, -36, 9, 7, -10, 44, 76]

Pass 1:
  Compare 77 and -5
  Swap 77 and -5
  List after swap: [-5, 77, 30, -36, 9, 7, -10, 44, 76]
  Compare 77 and 30
  Swap 77 and 30
  List after swap: [-5, 30, 77, -36, 9, 7, -10, 44, 76]
  Compare 77 and -36
  Swap 77 and -36
  List after swap: [-5, 30, -36, 77, 9, 7, -10, 44, 76]
  Compare 77 and 9
  Swap 77 and 9
  List after swap: [-5, 30, -36, 9, 77, 7, -10, 44, 76]
  Compare 77 and 7
  Swap 77 and 7
  List after swap: [-5, 30, -36, 9, 7, 77, -10, 44, 76]
  Compare 77 and -10
  Swap 77 and -10
  List after swap: [-5, 30, -36, 9, 7, -10, 77, 44, 76]
  Compare 77 and 44
  Swap 77 and 44
  List after swap: [-5, 30, -36, 9, 7, -10, 44, 77, 76]
  Compare 77 and 76
  Swap 77 and 76
  List after swap: [-5, 30, -36, 9, 7, -10, 44, 76, 77]

Pass 2:
  Compare -5 and 30
  No swap needed
  Compare 30 and -36
  Swap 30 and -36
  List after swap: [-5, -36, 30, 9, 7, -10, 44, 76, 77]
  Compare 30 and 9
  Swap 30 and 9
  List after swap: [-5, -36, 9, 30, 7, -10, 44, 76, 77]
  Compare 30 and 7
  Swap 30 and 7
  List after swap: [-5, -36, 9, 7, 30, -10, 44, 76, 77]
  Compare 30 and -10
  Swap 30 and -10
  List after swap: [-5, -36, 9, 7, -10, 30, 44, 76, 77]
  Compare 30 and 44
  No swap needed
  Compare 44 and 76
  No swap needed

Pass 3:
  Compare -5 and -36
  Swap -5 and -36
  List after swap: [-36, -5, 9, 7, -10, 30, 44, 76, 77]
  Compare -5 and 9
  No swap needed
  Compare 9 and 7
  Swap 9 and 7
  List after swap: [-36, -5, 7, 9, -10, 30, 44, 76, 77]
  Compare 9 and -10
  Swap 9 and -10
  List after swap: [-36, -5, 7, -10, 9, 30, 44, 76, 77]
  Compare 9 and 30
  No swap needed
  Compare 30 and 44
  No swap needed

Pass 4:
  Compare -36 and -5
  No swap needed
  Compare -5 and 7
  No swap needed
  Compare 7 and -10
  Swap 7 and -10
  List after swap: [-36, -5, -10, 7, 9, 30, 44, 76, 77]
  Compare 7 and 9
  No swap needed
  Compare 9 and 30
  No swap needed

Pass 5:
  Compare -36 and -5
  No swap needed
  Compare -5 and -10
  Swap -5 and -10
  List after swap: [-36, -10, -5, 7, 9, 30, 44, 76, 77]
  Compare -5 and 7
  No swap needed
  Compare 7 and 9
  No swap needed

Pass 6:
  Compare -36 and -10
  No swap needed
  Compare -10 and -5
  No swap needed
  Compare -5 and 7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-36, -10, -5, 7, 9, 30, 44, 76, 77]
</think>

<response>-36, -10, -5, 7, 9, 30, 44, 76, 77</response>


input: Use the bubble sort technique to reorder -2, 50, -98, 18, -61, -18, 24, 86, 55 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-2, 50, -98, 18, -61, -18, 24, 86, 55]

Pass 1:
  Compare -2 and 50
  No swap needed
  Compare 50 and -98
  Swap 50 and -98
  List after swap: [-2, -98, 50, 18, -61, -18, 24, 86, 55]
  Compare 50 and 18
  Swap 50 and 18
  List after swap: [-2, -98, 18, 50, -61, -18, 24, 86, 55]
  Compare 50 and -61
  Swap 50 and -61
  List after swap: [-2, -98, 18, -61, 50, -18, 24, 86, 55]
  Compare 50 and -18
  Swap 50 and -18
  List after swap: [-2, -98, 18, -61, -18, 50, 24, 86, 55]
  Compare 50 and 24
  Swap 50 and 24
  List after swap: [-2, -98, 18, -61, -18, 24, 50, 86, 55]
  Compare 50 and 86
  No swap needed
  Compare 86 and 55
  Swap 86 and 55
  List after swap: [-2, -98, 18, -61, -18, 24, 50, 55, 86]

Pass 2:
  Compare -2 and -98
  Swap -2 and -98
  List after swap: [-98, -2, 18, -61, -18, 24, 50, 55, 86]
  Compare -2 and 18
  No swap needed
  Compare 18 and -61
  Swap 18 and -61
  List after swap: [-98, -2, -61, 18, -18, 24, 50, 55, 86]
  Compare 18 and -18
  Swap 18 and -18
  List after swap: [-98, -2, -61, -18, 18, 24, 50, 55, 86]
  Compare 18 and 24
  No swap needed
  Compare 24 and 50
  No swap needed
  Compare 50 and 55
  No swap needed

Pass 3:
  Compare -98 and -2
  No swap needed
  Compare -2 and -61
  Swap -2 and -61
  List after swap: [-98, -61, -2, -18, 18, 24, 50, 55, 86]
  Compare -2 and -18
  Swap -2 and -18
  List after swap: [-98, -61, -18, -2, 18, 24, 50, 55, 86]
  Compare -2 and 18
  No swap needed
  Compare 18 and 24
  No swap needed
  Compare 24 and 50
  No swap needed

Pass 4:
  Compare -98 and -61
  No swap needed
  Compare -61 and -18
  No swap needed
  Compare -18 and -2
  No swap needed
  Compare -2 and 18
  No swap needed
  Compare 18 and 24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -61, -18, -2, 18, 24, 50, 55, 86]
</think>

<response>-98, -61, -18, -2, 18, 24, 50, 55, 86</response>


input: Using the bubble sort method, sort 28, 17, 34, -80, 96, -89 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [28, 17, 34, -80, 96, -89]

Pass 1:
  Compare 28 and 17
  Swap 28 and 17
  List after swap: [17, 28, 34, -80, 96, -89]
  Compare 28 and 34
  No swap needed
  Compare 34 and -80
  Swap 34 and -80
  List after swap: [17, 28, -80, 34, 96, -89]
  Compare 34 and 96
  No swap needed
  Compare 96 and -89
  Swap 96 and -89
  List after swap: [17, 28, -80, 34, -89, 96]

Pass 2:
  Compare 17 and 28
  No swap needed
  Compare 28 and -80
  Swap 28 and -80
  List after swap: [17, -80, 28, 34, -89, 96]
  Compare 28 and 34
  No swap needed
  Compare 34 and -89
  Swap 34 and -89
  List after swap: [17, -80, 28, -89, 34, 96]

Pass 3:
  Compare 17 and -80
  Swap 17 and -80
  List after swap: [-80, 17, 28, -89, 34, 96]
  Compare 17 and 28
  No swap needed
  Compare 28 and -89
  Swap 28 and -89
  List after swap: [-80, 17, -89, 28, 34, 96]

Pass 4:
  Compare -80 and 17
  No swap needed
  Compare 17 and -89
  Swap 17 and -89
  List after swap: [-80, -89, 17, 28, 34, 96]

Pass 5:
  Compare -80 and -89
  Swap -80 and -89
  List after swap: [-89, -80, 17, 28, 34, 96]

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

Final sorted list: [-89, -80, 17, 28, 34, 96]
</think>

<response>-89, -80, 17, 28, 34, 96</response>


input: Use the bubble sort technique to reorder 60, 3, -84, 47 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [60, 3, -84, 47]

Pass 1:
  Compare 60 and 3
  Swap 60 and 3
  List after swap: [3, 60, -84, 47]
  Compare 60 and -84
  Swap 60 and -84
  List after swap: [3, -84, 60, 47]
  Compare 60 and 47
  Swap 60 and 47
  List after swap: [3, -84, 47, 60]

Pass 2:
  Compare 3 and -84
  Swap 3 and -84
  List after swap: [-84, 3, 47, 60]
  Compare 3 and 47
  No swap needed

Pass 3:
  Compare -84 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, 3, 47, 60]
</think>

<response>-84, 3, 47, 60</response>


input: Arrange the numbers 53, -17, -87, 97, -64, 6 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [53, -17, -87, 97, -64, 6]

Pass 1:
  Compare 53 and -17
  Swap 53 and -17
  List after swap: [-17, 53, -87, 97, -64, 6]
  Compare 53 and -87
  Swap 53 and -87
  List after swap: [-17, -87, 53, 97, -64, 6]
  Compare 53 and 97
  No swap needed
  Compare 97 and -64
  Swap 97 and -64
  List after swap: [-17, -87, 53, -64, 97, 6]
  Compare 97 and 6
  Swap 97 and 6
  List after swap: [-17, -87, 53, -64, 6, 97]

Pass 2:
  Compare -17 and -87
  Swap -17 and -87
  List after swap: [-87, -17, 53, -64, 6, 97]
  Compare -17 and 53
  No swap needed
  Compare 53 and -64
  Swap 53 and -64
  List after swap: [-87, -17, -64, 53, 6, 97]
  Compare 53 and 6
  Swap 53 and 6
  List after swap: [-87, -17, -64, 6, 53, 97]

Pass 3:
  Compare -87 and -17
  No swap needed
  Compare -17 and -64
  Swap -17 and -64
  List after swap: [-87, -64, -17, 6, 53, 97]
  Compare -17 and 6
  No swap needed

Pass 4:
  Compare -87 and -64
  No swap needed
  Compare -64 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -64, -17, 6, 53, 97]
</think>

<response>-87, -64, -17, 6, 53, 97</response>


input: Demonstrate how bubble sort orders the integers 89, -21 in ascending sequence, showing all steps.

output:
<think>
Initial list: [89, -21]

Pass 1:
  Compare 89 and -21
  Swap 89 and -21
  List after swap: [-21, 89]

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

Final sorted list: [-21, 89]
</think>

<response>-21, 89</response>


input: Sort these integers 98, 10, 81, 36, -47, -76 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [98, 10, 81, 36, -47, -76]

Pass 1:
  Compare 98 and 10
  Swap 98 and 10
  List after swap: [10, 98, 81, 36, -47, -76]
  Compare 98 and 81
  Swap 98 and 81
  List after swap: [10, 81, 98, 36, -47, -76]
  Compare 98 and 36
  Swap 98 and 36
  List after swap: [10, 81, 36, 98, -47, -76]
  Compare 98 and -47
  Swap 98 and -47
  List after swap: [10, 81, 36, -47, 98, -76]
  Compare 98 and -76
  Swap 98 and -76
  List after swap: [10, 81, 36, -47, -76, 98]

Pass 2:
  Compare 10 and 81
  No swap needed
  Compare 81 and 36
  Swap 81 and 36
  List after swap: [10, 36, 81, -47, -76, 98]
  Compare 81 and -47
  Swap 81 and -47
  List after swap: [10, 36, -47, 81, -76, 98]
  Compare 81 and -76
  Swap 81 and -76
  List after swap: [10, 36, -47, -76, 81, 98]

Pass 3:
  Compare 10 and 36
  No swap needed
  Compare 36 and -47
  Swap 36 and -47
  List after swap: [10, -47, 36, -76, 81, 98]
  Compare 36 and -76
  Swap 36 and -76
  List after swap: [10, -47, -76, 36, 81, 98]

Pass 4:
  Compare 10 and -47
  Swap 10 and -47
  List after swap: [-47, 10, -76, 36, 81, 98]
  Compare 10 and -76
  Swap 10 and -76
  List after swap: [-47, -76, 10, 36, 81, 98]

Pass 5:
  Compare -47 and -76
  Swap -47 and -76
  List after swap: [-76, -47, 10, 36, 81, 98]

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

Final sorted list: [-76, -47, 10, 36, 81, 98]
</think>

<response>-76, -47, 10, 36, 81, 98</response>


input: Use the bubble sort technique to reorder -4, -2, 4, 5, 63, 84, -23, 92 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-4, -2, 4, 5, 63, 84, -23, 92]

Pass 1:
  Compare -4 and -2
  No swap needed
  Compare -2 and 4
  No swap needed
  Compare 4 and 5
  No swap needed
  Compare 5 and 63
  No swap needed
  Compare 63 and 84
  No swap needed
  Compare 84 and -23
  Swap 84 and -23
  List after swap: [-4, -2, 4, 5, 63, -23, 84, 92]
  Compare 84 and 92
  No swap needed

Pass 2:
  Compare -4 and -2
  No swap needed
  Compare -2 and 4
  No swap needed
  Compare 4 and 5
  No swap needed
  Compare 5 and 63
  No swap needed
  Compare 63 and -23
  Swap 63 and -23
  List after swap: [-4, -2, 4, 5, -23, 63, 84, 92]
  Compare 63 and 84
  No swap needed

Pass 3:
  Compare -4 and -2
  No swap needed
  Compare -2 and 4
  No swap needed
  Compare 4 and 5
  No swap needed
  Compare 5 and -23
  Swap 5 and -23
  List after swap: [-4, -2, 4, -23, 5, 63, 84, 92]
  Compare 5 and 63
  No swap needed

Pass 4:
  Compare -4 and -2
  No swap needed
  Compare -2 and 4
  No swap needed
  Compare 4 and -23
  Swap 4 and -23
  List after swap: [-4, -2, -23, 4, 5, 63, 84, 92]
  Compare 4 and 5
  No swap needed

Pass 5:
  Compare -4 and -2
  No swap needed
  Compare -2 and -23
  Swap -2 and -23
  List after swap: [-4, -23, -2, 4, 5, 63, 84, 92]
  Compare -2 and 4
  No swap needed

Pass 6:
  Compare -4 and -23
  Swap -4 and -23
  List after swap: [-23, -4, -2, 4, 5, 63, 84, 92]
  Compare -4 and -2
  No swap needed

Pass 7:
  Compare -23 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-23, -4, -2, 4, 5, 63, 84, 92]
</think>

<response>-23, -4, -2, 4, 5, 63, 84, 92</response>


input: Using the bubble sort method, sort -95, 67, -78, -88, 84, 26, 20 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-95, 67, -78, -88, 84, 26, 20]

Pass 1:
  Compare -95 and 67
  No swap needed
  Compare 67 and -78
  Swap 67 and -78
  List after swap: [-95, -78, 67, -88, 84, 26, 20]
  Compare 67 and -88
  Swap 67 and -88
  List after swap: [-95, -78, -88, 67, 84, 26, 20]
  Compare 67 and 84
  No swap needed
  Compare 84 and 26
  Swap 84 and 26
  List after swap: [-95, -78, -88, 67, 26, 84, 20]
  Compare 84 and 20
  Swap 84 and 20
  List after swap: [-95, -78, -88, 67, 26, 20, 84]

Pass 2:
  Compare -95 and -78
  No swap needed
  Compare -78 and -88
  Swap -78 and -88
  List after swap: [-95, -88, -78, 67, 26, 20, 84]
  Compare -78 and 67
  No swap needed
  Compare 67 and 26
  Swap 67 and 26
  List after swap: [-95, -88, -78, 26, 67, 20, 84]
  Compare 67 and 20
  Swap 67 and 20
  List after swap: [-95, -88, -78, 26, 20, 67, 84]

Pass 3:
  Compare -95 and -88
  No swap needed
  Compare -88 and -78
  No swap needed
  Compare -78 and 26
  No swap needed
  Compare 26 and 20
  Swap 26 and 20
  List after swap: [-95, -88, -78, 20, 26, 67, 84]

Pass 4:
  Compare -95 and -88
  No swap needed
  Compare -88 and -78
  No swap needed
  Compare -78 and 20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -88, -78, 20, 26, 67, 84]
</think>

<response>-95, -88, -78, 20, 26, 67, 84</response>


input: Sort the list 72, 73, -34, -60, 21, -85, 47, -71 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [72, 73, -34, -60, 21, -85, 47, -71]

Pass 1:
  Compare 72 and 73
  No swap needed
  Compare 73 and -34
  Swap 73 and -34
  List after swap: [72, -34, 73, -60, 21, -85, 47, -71]
  Compare 73 and -60
  Swap 73 and -60
  List after swap: [72, -34, -60, 73, 21, -85, 47, -71]
  Compare 73 and 21
  Swap 73 and 21
  List after swap: [72, -34, -60, 21, 73, -85, 47, -71]
  Compare 73 and -85
  Swap 73 and -85
  List after swap: [72, -34, -60, 21, -85, 73, 47, -71]
  Compare 73 and 47
  Swap 73 and 47
  List after swap: [72, -34, -60, 21, -85, 47, 73, -71]
  Compare 73 and -71
  Swap 73 and -71
  List after swap: [72, -34, -60, 21, -85, 47, -71, 73]

Pass 2:
  Compare 72 and -34
  Swap 72 and -34
  List after swap: [-34, 72, -60, 21, -85, 47, -71, 73]
  Compare 72 and -60
  Swap 72 and -60
  List after swap: [-34, -60, 72, 21, -85, 47, -71, 73]
  Compare 72 and 21
  Swap 72 and 21
  List after swap: [-34, -60, 21, 72, -85, 47, -71, 73]
  Compare 72 and -85
  Swap 72 and -85
  List after swap: [-34, -60, 21, -85, 72, 47, -71, 73]
  Compare 72 and 47
  Swap 72 and 47
  List after swap: [-34, -60, 21, -85, 47, 72, -71, 73]
  Compare 72 and -71
  Swap 72 and -71
  List after swap: [-34, -60, 21, -85, 47, -71, 72, 73]

Pass 3:
  Compare -34 and -60
  Swap -34 and -60
  List after swap: [-60, -34, 21, -85, 47, -71, 72, 73]
  Compare -34 and 21
  No swap needed
  Compare 21 and -85
  Swap 21 and -85
  List after swap: [-60, -34, -85, 21, 47, -71, 72, 73]
  Compare 21 and 47
  No swap needed
  Compare 47 and -71
  Swap 47 and -71
  List after swap: [-60, -34, -85, 21, -71, 47, 72, 73]

Pass 4:
  Compare -60 and -34
  No swap needed
  Compare -34 and -85
  Swap -34 and -85
  List after swap: [-60, -85, -34, 21, -71, 47, 72, 73]
  Compare -34 and 21
  No swap needed
  Compare 21 and -71
  Swap 21 and -71
  List after swap: [-60, -85, -34, -71, 21, 47, 72, 73]

Pass 5:
  Compare -60 and -85
  Swap -60 and -85
  List after swap: [-85, -60, -34, -71, 21, 47, 72, 73]
  Compare -60 and -34
  No swap needed
  Compare -34 and -71
  Swap -34 and -71
  List after swap: [-85, -60, -71, -34, 21, 47, 72, 73]

Pass 6:
  Compare -85 and -60
  No swap needed
  Compare -60 and -71
  Swap -60 and -71
  List after swap: [-85, -71, -60, -34, 21, 47, 72, 73]

Pass 7:
  Compare -85 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -71, -60, -34, 21, 47, 72, 73]
</think>

<response>-85, -71, -60, -34, 21, 47, 72, 73</response>


input: Carry out the bubble sort algorithm on 14, -12, 15, 87, 75, 21, -74, -38 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [14, -12, 15, 87, 75, 21, -74, -38]

Pass 1:
  Compare 14 and -12
  Swap 14 and -12
  List after swap: [-12, 14, 15, 87, 75, 21, -74, -38]
  Compare 14 and 15
  No swap needed
  Compare 15 and 87
  No swap needed
  Compare 87 and 75
  Swap 87 and 75
  List after swap: [-12, 14, 15, 75, 87, 21, -74, -38]
  Compare 87 and 21
  Swap 87 and 21
  List after swap: [-12, 14, 15, 75, 21, 87, -74, -38]
  Compare 87 and -74
  Swap 87 and -74
  List after swap: [-12, 14, 15, 75, 21, -74, 87, -38]
  Compare 87 and -38
  Swap 87 and -38
  List after swap: [-12, 14, 15, 75, 21, -74, -38, 87]

Pass 2:
  Compare -12 and 14
  No swap needed
  Compare 14 and 15
  No swap needed
  Compare 15 and 75
  No swap needed
  Compare 75 and 21
  Swap 75 and 21
  List after swap: [-12, 14, 15, 21, 75, -74, -38, 87]
  Compare 75 and -74
  Swap 75 and -74
  List after swap: [-12, 14, 15, 21, -74, 75, -38, 87]
  Compare 75 and -38
  Swap 75 and -38
  List after swap: [-12, 14, 15, 21, -74, -38, 75, 87]

Pass 3:
  Compare -12 and 14
  No swap needed
  Compare 14 and 15
  No swap needed
  Compare 15 and 21
  No swap needed
  Compare 21 and -74
  Swap 21 and -74
  List after swap: [-12, 14, 15, -74, 21, -38, 75, 87]
  Compare 21 and -38
  Swap 21 and -38
  List after swap: [-12, 14, 15, -74, -38, 21, 75, 87]

Pass 4:
  Compare -12 and 14
  No swap needed
  Compare 14 and 15
  No swap needed
  Compare 15 and -74
  Swap 15 and -74
  List after swap: [-12, 14, -74, 15, -38, 21, 75, 87]
  Compare 15 and -38
  Swap 15 and -38
  List after swap: [-12, 14, -74, -38, 15, 21, 75, 87]

Pass 5:
  Compare -12 and 14
  No swap needed
  Compare 14 and -74
  Swap 14 and -74
  List after swap: [-12, -74, 14, -38, 15, 21, 75, 87]
  Compare 14 and -38
  Swap 14 and -38
  List after swap: [-12, -74, -38, 14, 15, 21, 75, 87]

Pass 6:
  Compare -12 and -74
  Swap -12 and -74
  List after swap: [-74, -12, -38, 14, 15, 21, 75, 87]
  Compare -12 and -38
  Swap -12 and -38
  List after swap: [-74, -38, -12, 14, 15, 21, 75, 87]

Pass 7:
  Compare -74 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -38, -12, 14, 15, 21, 75, 87]
</think>

<response>-74, -38, -12, 14, 15, 21, 75, 87</response>


input: Sort these integers -38, -24, 18, -37, 40, -40, 83, -13, -96 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-38, -24, 18, -37, 40, -40, 83, -13, -96]

Pass 1:
  Compare -38 and -24
  No swap needed
  Compare -24 and 18
  No swap needed
  Compare 18 and -37
  Swap 18 and -37
  List after swap: [-38, -24, -37, 18, 40, -40, 83, -13, -96]
  Compare 18 and 40
  No swap needed
  Compare 40 and -40
  Swap 40 and -40
  List after swap: [-38, -24, -37, 18, -40, 40, 83, -13, -96]
  Compare 40 and 83
  No swap needed
  Compare 83 and -13
  Swap 83 and -13
  List after swap: [-38, -24, -37, 18, -40, 40, -13, 83, -96]
  Compare 83 and -96
  Swap 83 and -96
  List after swap: [-38, -24, -37, 18, -40, 40, -13, -96, 83]

Pass 2:
  Compare -38 and -24
  No swap needed
  Compare -24 and -37
  Swap -24 and -37
  List after swap: [-38, -37, -24, 18, -40, 40, -13, -96, 83]
  Compare -24 and 18
  No swap needed
  Compare 18 and -40
  Swap 18 and -40
  List after swap: [-38, -37, -24, -40, 18, 40, -13, -96, 83]
  Compare 18 and 40
  No swap needed
  Compare 40 and -13
  Swap 40 and -13
  List after swap: [-38, -37, -24, -40, 18, -13, 40, -96, 83]
  Compare 40 and -96
  Swap 40 and -96
  List after swap: [-38, -37, -24, -40, 18, -13, -96, 40, 83]

Pass 3:
  Compare -38 and -37
  No swap needed
  Compare -37 and -24
  No swap needed
  Compare -24 and -40
  Swap -24 and -40
  List after swap: [-38, -37, -40, -24, 18, -13, -96, 40, 83]
  Compare -24 and 18
  No swap needed
  Compare 18 and -13
  Swap 18 and -13
  List after swap: [-38, -37, -40, -24, -13, 18, -96, 40, 83]
  Compare 18 and -96
  Swap 18 and -96
  List after swap: [-38, -37, -40, -24, -13, -96, 18, 40, 83]

Pass 4:
  Compare -38 and -37
  No swap needed
  Compare -37 and -40
  Swap -37 and -40
  List after swap: [-38, -40, -37, -24, -13, -96, 18, 40, 83]
  Compare -37 and -24
  No swap needed
  Compare -24 and -13
  No swap needed
  Compare -13 and -96
  Swap -13 and -96
  List after swap: [-38, -40, -37, -24, -96, -13, 18, 40, 83]

Pass 5:
  Compare -38 and -40
  Swap -38 and -40
  List after swap: [-40, -38, -37, -24, -96, -13, 18, 40, 83]
  Compare -38 and -37
  No swap needed
  Compare -37 and -24
  No swap needed
  Compare -24 and -96
  Swap -24 and -96
  List after swap: [-40, -38, -37, -96, -24, -13, 18, 40, 83]

Pass 6:
  Compare -40 and -38
  No swap needed
  Compare -38 and -37
  No swap needed
  Compare -37 and -96
  Swap -37 and -96
  List after swap: [-40, -38, -96, -37, -24, -13, 18, 40, 83]

Pass 7:
  Compare -40 and -38
  No swap needed
  Compare -38 and -96
  Swap -38 and -96
  List after swap: [-40, -96, -38, -37, -24, -13, 18, 40, 83]

Pass 8:
  Compare -40 and -96
  Swap -40 and -96
  List after swap: [-96, -40, -38, -37, -24, -13, 18, 40, 83]

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

Final sorted list: [-96, -40, -38, -37, -24, -13, 18, 40, 83]
</think>

<response>-96, -40, -38, -37, -24, -13, 18, 40, 83</response>


input: Implement bubble sort on 17, -46, 32, 14, 62, -11, -58, -38, -34, 9 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [17, -46, 32, 14, 62, -11, -58, -38, -34, 9]

Pass 1:
  Compare 17 and -46
  Swap 17 and -46
  List after swap: [-46, 17, 32, 14, 62, -11, -58, -38, -34, 9]
  Compare 17 and 32
  No swap needed
  Compare 32 and 14
  Swap 32 and 14
  List after swap: [-46, 17, 14, 32, 62, -11, -58, -38, -34, 9]
  Compare 32 and 62
  No swap needed
  Compare 62 and -11
  Swap 62 and -11
  List after swap: [-46, 17, 14, 32, -11, 62, -58, -38, -34, 9]
  Compare 62 and -58
  Swap 62 and -58
  List after swap: [-46, 17, 14, 32, -11, -58, 62, -38, -34, 9]
  Compare 62 and -38
  Swap 62 and -38
  List after swap: [-46, 17, 14, 32, -11, -58, -38, 62, -34, 9]
  Compare 62 and -34
  Swap 62 and -34
  List after swap: [-46, 17, 14, 32, -11, -58, -38, -34, 62, 9]
  Compare 62 and 9
  Swap 62 and 9
  List after swap: [-46, 17, 14, 32, -11, -58, -38, -34, 9, 62]

Pass 2:
  Compare -46 and 17
  No swap needed
  Compare 17 and 14
  Swap 17 and 14
  List after swap: [-46, 14, 17, 32, -11, -58, -38, -34, 9, 62]
  Compare 17 and 32
  No swap needed
  Compare 32 and -11
  Swap 32 and -11
  List after swap: [-46, 14, 17, -11, 32, -58, -38, -34, 9, 62]
  Compare 32 and -58
  Swap 32 and -58
  List after swap: [-46, 14, 17, -11, -58, 32, -38, -34, 9, 62]
  Compare 32 and -38
  Swap 32 and -38
  List after swap: [-46, 14, 17, -11, -58, -38, 32, -34, 9, 62]
  Compare 32 and -34
  Swap 32 and -34
  List after swap: [-46, 14, 17, -11, -58, -38, -34, 32, 9, 62]
  Compare 32 and 9
  Swap 32 and 9
  List after swap: [-46, 14, 17, -11, -58, -38, -34, 9, 32, 62]

Pass 3:
  Compare -46 and 14
  No swap needed
  Compare 14 and 17
  No swap needed
  Compare 17 and -11
  Swap 17 and -11
  List after swap: [-46, 14, -11, 17, -58, -38, -34, 9, 32, 62]
  Compare 17 and -58
  Swap 17 and -58
  List after swap: [-46, 14, -11, -58, 17, -38, -34, 9, 32, 62]
  Compare 17 and -38
  Swap 17 and -38
  List after swap: [-46, 14, -11, -58, -38, 17, -34, 9, 32, 62]
  Compare 17 and -34
  Swap 17 and -34
  List after swap: [-46, 14, -11, -58, -38, -34, 17, 9, 32, 62]
  Compare 17 and 9
  Swap 17 and 9
  List after swap: [-46, 14, -11, -58, -38, -34, 9, 17, 32, 62]

Pass 4:
  Compare -46 and 14
  No swap needed
  Compare 14 and -11
  Swap 14 and -11
  List after swap: [-46, -11, 14, -58, -38, -34, 9, 17, 32, 62]
  Compare 14 and -58
  Swap 14 and -58
  List after swap: [-46, -11, -58, 14, -38, -34, 9, 17, 32, 62]
  Compare 14 and -38
  Swap 14 and -38
  List after swap: [-46, -11, -58, -38, 14, -34, 9, 17, 32, 62]
  Compare 14 and -34
  Swap 14 and -34
  List after swap: [-46, -11, -58, -38, -34, 14, 9, 17, 32, 62]
  Compare 14 and 9
  Swap 14 and 9
  List after swap: [-46, -11, -58, -38, -34, 9, 14, 17, 32, 62]

Pass 5:
  Compare -46 and -11
  No swap needed
  Compare -11 and -58
  Swap -11 and -58
  List after swap: [-46, -58, -11, -38, -34, 9, 14, 17, 32, 62]
  Compare -11 and -38
  Swap -11 and -38
  List after swap: [-46, -58, -38, -11, -34, 9, 14, 17, 32, 62]
  Compare -11 and -34
  Swap -11 and -34
  List after swap: [-46, -58, -38, -34, -11, 9, 14, 17, 32, 62]
  Compare -11 and 9
  No swap needed

Pass 6:
  Compare -46 and -58
  Swap -46 and -58
  List after swap: [-58, -46, -38, -34, -11, 9, 14, 17, 32, 62]
  Compare -46 and -38
  No swap needed
  Compare -38 and -34
  No swap needed
  Compare -34 and -11
  No swap needed

Pass 7:
  Compare -58 and -46
  No swap needed
  Compare -46 and -38
  No swap needed
  Compare -38 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -46, -38, -34, -11, 9, 14, 17, 32, 62]
</think>

<response>-58, -46, -38, -34, -11, 9, 14, 17, 32, 62</response>


input: Carry out the bubble sort algorithm on 57, 82, 56, 64, -49, -92, -42, -72 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [57, 82, 56, 64, -49, -92, -42, -72]

Pass 1:
  Compare 57 and 82
  No swap needed
  Compare 82 and 56
  Swap 82 and 56
  List after swap: [57, 56, 82, 64, -49, -92, -42, -72]
  Compare 82 and 64
  Swap 82 and 64
  List after swap: [57, 56, 64, 82, -49, -92, -42, -72]
  Compare 82 and -49
  Swap 82 and -49
  List after swap: [57, 56, 64, -49, 82, -92, -42, -72]
  Compare 82 and -92
  Swap 82 and -92
  List after swap: [57, 56, 64, -49, -92, 82, -42, -72]
  Compare 82 and -42
  Swap 82 and -42
  List after swap: [57, 56, 64, -49, -92, -42, 82, -72]
  Compare 82 and -72
  Swap 82 and -72
  List after swap: [57, 56, 64, -49, -92, -42, -72, 82]

Pass 2:
  Compare 57 and 56
  Swap 57 and 56
  List after swap: [56, 57, 64, -49, -92, -42, -72, 82]
  Compare 57 and 64
  No swap needed
  Compare 64 and -49
  Swap 64 and -49
  List after swap: [56, 57, -49, 64, -92, -42, -72, 82]
  Compare 64 and -92
  Swap 64 and -92
  List after swap: [56, 57, -49, -92, 64, -42, -72, 82]
  Compare 64 and -42
  Swap 64 and -42
  List after swap: [56, 57, -49, -92, -42, 64, -72, 82]
  Compare 64 and -72
  Swap 64 and -72
  List after swap: [56, 57, -49, -92, -42, -72, 64, 82]

Pass 3:
  Compare 56 and 57
  No swap needed
  Compare 57 and -49
  Swap 57 and -49
  List after swap: [56, -49, 57, -92, -42, -72, 64, 82]
  Compare 57 and -92
  Swap 57 and -92
  List after swap: [56, -49, -92, 57, -42, -72, 64, 82]
  Compare 57 and -42
  Swap 57 and -42
  List after swap: [56, -49, -92, -42, 57, -72, 64, 82]
  Compare 57 and -72
  Swap 57 and -72
  List after swap: [56, -49, -92, -42, -72, 57, 64, 82]

Pass 4:
  Compare 56 and -49
  Swap 56 and -49
  List after swap: [-49, 56, -92, -42, -72, 57, 64, 82]
  Compare 56 and -92
  Swap 56 and -92
  List after swap: [-49, -92, 56, -42, -72, 57, 64, 82]
  Compare 56 and -42
  Swap 56 and -42
  List after swap: [-49, -92, -42, 56, -72, 57, 64, 82]
  Compare 56 and -72
  Swap 56 and -72
  List after swap: [-49, -92, -42, -72, 56, 57, 64, 82]

Pass 5:
  Compare -49 and -92
  Swap -49 and -92
  List after swap: [-92, -49, -42, -72, 56, 57, 64, 82]
  Compare -49 and -42
  No swap needed
  Compare -42 and -72
  Swap -42 and -72
  List after swap: [-92, -49, -72, -42, 56, 57, 64, 82]

Pass 6:
  Compare -92 and -49
  No swap needed
  Compare -49 and -72
  Swap -49 and -72
  List after swap: [-92, -72, -49, -42, 56, 57, 64, 82]

Pass 7:
  Compare -92 and -72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -72, -49, -42, 56, 57, 64, 82]
</think>

<response>-92, -72, -49, -42, 56, 57, 64, 82</response>


input: Using the bubble sort method, sort 90, 69, 31, 61 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [90, 69, 31, 61]

Pass 1:
  Compare 90 and 69
  Swap 90 and 69
  List after swap: [69, 90, 31, 61]
  Compare 90 and 31
  Swap 90 and 31
  List after swap: [69, 31, 90, 61]
  Compare 90 and 61
  Swap 90 and 61
  List after swap: [69, 31, 61, 90]

Pass 2:
  Compare 69 and 31
  Swap 69 and 31
  List after swap: [31, 69, 61, 90]
  Compare 69 and 61
  Swap 69 and 61
  List after swap: [31, 61, 69, 90]

Pass 3:
  Compare 31 and 61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [31, 61, 69, 90]
</think>

<response>31, 61, 69, 90</response>


input: Sort the list 83, -93, 92, 5, 87, -78, 15 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [83, -93, 92, 5, 87, -78, 15]

Pass 1:
  Compare 83 and -93
  Swap 83 and -93
  List after swap: [-93, 83, 92, 5, 87, -78, 15]
  Compare 83 and 92
  No swap needed
  Compare 92 and 5
  Swap 92 and 5
  List after swap: [-93, 83, 5, 92, 87, -78, 15]
  Compare 92 and 87
  Swap 92 and 87
  List after swap: [-93, 83, 5, 87, 92, -78, 15]
  Compare 92 and -78
  Swap 92 and -78
  List after swap: [-93, 83, 5, 87, -78, 92, 15]
  Compare 92 and 15
  Swap 92 and 15
  List after swap: [-93, 83, 5, 87, -78, 15, 92]

Pass 2:
  Compare -93 and 83
  No swap needed
  Compare 83 and 5
  Swap 83 and 5
  List after swap: [-93, 5, 83, 87, -78, 15, 92]
  Compare 83 and 87
  No swap needed
  Compare 87 and -78
  Swap 87 and -78
  List after swap: [-93, 5, 83, -78, 87, 15, 92]
  Compare 87 and 15
  Swap 87 and 15
  List after swap: [-93, 5, 83, -78, 15, 87, 92]

Pass 3:
  Compare -93 and 5
  No swap needed
  Compare 5 and 83
  No swap needed
  Compare 83 and -78
  Swap 83 and -78
  List after swap: [-93, 5, -78, 83, 15, 87, 92]
  Compare 83 and 15
  Swap 83 and 15
  List after swap: [-93, 5, -78, 15, 83, 87, 92]

Pass 4:
  Compare -93 and 5
  No swap needed
  Compare 5 and -78
  Swap 5 and -78
  List after swap: [-93, -78, 5, 15, 83, 87, 92]
  Compare 5 and 15
  No swap needed

Pass 5:
  Compare -93 and -78
  No swap needed
  Compare -78 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -78, 5, 15, 83, 87, 92]
</think>

<response>-93, -78, 5, 15, 83, 87, 92</response>