input: Execute bubble sort to sort -81, -86, 15, 25, 71, 56, 3, -61, 85 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-81, -86, 15, 25, 71, 56, 3, -61, 85]

Pass 1:
  Compare -81 and -86
  Swap -81 and -86
  List after swap: [-86, -81, 15, 25, 71, 56, 3, -61, 85]
  Compare -81 and 15
  No swap needed
  Compare 15 and 25
  No swap needed
  Compare 25 and 71
  No swap needed
  Compare 71 and 56
  Swap 71 and 56
  List after swap: [-86, -81, 15, 25, 56, 71, 3, -61, 85]
  Compare 71 and 3
  Swap 71 and 3
  List after swap: [-86, -81, 15, 25, 56, 3, 71, -61, 85]
  Compare 71 and -61
  Swap 71 and -61
  List after swap: [-86, -81, 15, 25, 56, 3, -61, 71, 85]
  Compare 71 and 85
  No swap needed

Pass 2:
  Compare -86 and -81
  No swap needed
  Compare -81 and 15
  No swap needed
  Compare 15 and 25
  No swap needed
  Compare 25 and 56
  No swap needed
  Compare 56 and 3
  Swap 56 and 3
  List after swap: [-86, -81, 15, 25, 3, 56, -61, 71, 85]
  Compare 56 and -61
  Swap 56 and -61
  List after swap: [-86, -81, 15, 25, 3, -61, 56, 71, 85]
  Compare 56 and 71
  No swap needed

Pass 3:
  Compare -86 and -81
  No swap needed
  Compare -81 and 15
  No swap needed
  Compare 15 and 25
  No swap needed
  Compare 25 and 3
  Swap 25 and 3
  List after swap: [-86, -81, 15, 3, 25, -61, 56, 71, 85]
  Compare 25 and -61
  Swap 25 and -61
  List after swap: [-86, -81, 15, 3, -61, 25, 56, 71, 85]
  Compare 25 and 56
  No swap needed

Pass 4:
  Compare -86 and -81
  No swap needed
  Compare -81 and 15
  No swap needed
  Compare 15 and 3
  Swap 15 and 3
  List after swap: [-86, -81, 3, 15, -61, 25, 56, 71, 85]
  Compare 15 and -61
  Swap 15 and -61
  List after swap: [-86, -81, 3, -61, 15, 25, 56, 71, 85]
  Compare 15 and 25
  No swap needed

Pass 5:
  Compare -86 and -81
  No swap needed
  Compare -81 and 3
  No swap needed
  Compare 3 and -61
  Swap 3 and -61
  List after swap: [-86, -81, -61, 3, 15, 25, 56, 71, 85]
  Compare 3 and 15
  No swap needed

Pass 6:
  Compare -86 and -81
  No swap needed
  Compare -81 and -61
  No swap needed
  Compare -61 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -81, -61, 3, 15, 25, 56, 71, 85]
</think>

<response>-86, -81, -61, 3, 15, 25, 56, 71, 85</response>


input: Arrange the numbers -49, -90, -91, -87, -62, 88, -68, -11, 33 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-49, -90, -91, -87, -62, 88, -68, -11, 33]

Pass 1:
  Compare -49 and -90
  Swap -49 and -90
  List after swap: [-90, -49, -91, -87, -62, 88, -68, -11, 33]
  Compare -49 and -91
  Swap -49 and -91
  List after swap: [-90, -91, -49, -87, -62, 88, -68, -11, 33]
  Compare -49 and -87
  Swap -49 and -87
  List after swap: [-90, -91, -87, -49, -62, 88, -68, -11, 33]
  Compare -49 and -62
  Swap -49 and -62
  List after swap: [-90, -91, -87, -62, -49, 88, -68, -11, 33]
  Compare -49 and 88
  No swap needed
  Compare 88 and -68
  Swap 88 and -68
  List after swap: [-90, -91, -87, -62, -49, -68, 88, -11, 33]
  Compare 88 and -11
  Swap 88 and -11
  List after swap: [-90, -91, -87, -62, -49, -68, -11, 88, 33]
  Compare 88 and 33
  Swap 88 and 33
  List after swap: [-90, -91, -87, -62, -49, -68, -11, 33, 88]

Pass 2:
  Compare -90 and -91
  Swap -90 and -91
  List after swap: [-91, -90, -87, -62, -49, -68, -11, 33, 88]
  Compare -90 and -87
  No swap needed
  Compare -87 and -62
  No swap needed
  Compare -62 and -49
  No swap needed
  Compare -49 and -68
  Swap -49 and -68
  List after swap: [-91, -90, -87, -62, -68, -49, -11, 33, 88]
  Compare -49 and -11
  No swap needed
  Compare -11 and 33
  No swap needed

Pass 3:
  Compare -91 and -90
  No swap needed
  Compare -90 and -87
  No swap needed
  Compare -87 and -62
  No swap needed
  Compare -62 and -68
  Swap -62 and -68
  List after swap: [-91, -90, -87, -68, -62, -49, -11, 33, 88]
  Compare -62 and -49
  No swap needed
  Compare -49 and -11
  No swap needed

Pass 4:
  Compare -91 and -90
  No swap needed
  Compare -90 and -87
  No swap needed
  Compare -87 and -68
  No swap needed
  Compare -68 and -62
  No swap needed
  Compare -62 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -90, -87, -68, -62, -49, -11, 33, 88]
</think>

<response>-91, -90, -87, -68, -62, -49, -11, 33, 88</response>


input: Using the bubble sort method, sort -27, -33, -1, -15, -39, 41, -6 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-27, -33, -1, -15, -39, 41, -6]

Pass 1:
  Compare -27 and -33
  Swap -27 and -33
  List after swap: [-33, -27, -1, -15, -39, 41, -6]
  Compare -27 and -1
  No swap needed
  Compare -1 and -15
  Swap -1 and -15
  List after swap: [-33, -27, -15, -1, -39, 41, -6]
  Compare -1 and -39
  Swap -1 and -39
  List after swap: [-33, -27, -15, -39, -1, 41, -6]
  Compare -1 and 41
  No swap needed
  Compare 41 and -6
  Swap 41 and -6
  List after swap: [-33, -27, -15, -39, -1, -6, 41]

Pass 2:
  Compare -33 and -27
  No swap needed
  Compare -27 and -15
  No swap needed
  Compare -15 and -39
  Swap -15 and -39
  List after swap: [-33, -27, -39, -15, -1, -6, 41]
  Compare -15 and -1
  No swap needed
  Compare -1 and -6
  Swap -1 and -6
  List after swap: [-33, -27, -39, -15, -6, -1, 41]

Pass 3:
  Compare -33 and -27
  No swap needed
  Compare -27 and -39
  Swap -27 and -39
  List after swap: [-33, -39, -27, -15, -6, -1, 41]
  Compare -27 and -15
  No swap needed
  Compare -15 and -6
  No swap needed

Pass 4:
  Compare -33 and -39
  Swap -33 and -39
  List after swap: [-39, -33, -27, -15, -6, -1, 41]
  Compare -33 and -27
  No swap needed
  Compare -27 and -15
  No swap needed

Pass 5:
  Compare -39 and -33
  No swap needed
  Compare -33 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-39, -33, -27, -15, -6, -1, 41]
</think>

<response>-39, -33, -27, -15, -6, -1, 41</response>


input: Sort these integers -77, -81, 86, -65, 2, 28, 29, 43, -8 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-77, -81, 86, -65, 2, 28, 29, 43, -8]

Pass 1:
  Compare -77 and -81
  Swap -77 and -81
  List after swap: [-81, -77, 86, -65, 2, 28, 29, 43, -8]
  Compare -77 and 86
  No swap needed
  Compare 86 and -65
  Swap 86 and -65
  List after swap: [-81, -77, -65, 86, 2, 28, 29, 43, -8]
  Compare 86 and 2
  Swap 86 and 2
  List after swap: [-81, -77, -65, 2, 86, 28, 29, 43, -8]
  Compare 86 and 28
  Swap 86 and 28
  List after swap: [-81, -77, -65, 2, 28, 86, 29, 43, -8]
  Compare 86 and 29
  Swap 86 and 29
  List after swap: [-81, -77, -65, 2, 28, 29, 86, 43, -8]
  Compare 86 and 43
  Swap 86 and 43
  List after swap: [-81, -77, -65, 2, 28, 29, 43, 86, -8]
  Compare 86 and -8
  Swap 86 and -8
  List after swap: [-81, -77, -65, 2, 28, 29, 43, -8, 86]

Pass 2:
  Compare -81 and -77
  No swap needed
  Compare -77 and -65
  No swap needed
  Compare -65 and 2
  No swap needed
  Compare 2 and 28
  No swap needed
  Compare 28 and 29
  No swap needed
  Compare 29 and 43
  No swap needed
  Compare 43 and -8
  Swap 43 and -8
  List after swap: [-81, -77, -65, 2, 28, 29, -8, 43, 86]

Pass 3:
  Compare -81 and -77
  No swap needed
  Compare -77 and -65
  No swap needed
  Compare -65 and 2
  No swap needed
  Compare 2 and 28
  No swap needed
  Compare 28 and 29
  No swap needed
  Compare 29 and -8
  Swap 29 and -8
  List after swap: [-81, -77, -65, 2, 28, -8, 29, 43, 86]

Pass 4:
  Compare -81 and -77
  No swap needed
  Compare -77 and -65
  No swap needed
  Compare -65 and 2
  No swap needed
  Compare 2 and 28
  No swap needed
  Compare 28 and -8
  Swap 28 and -8
  List after swap: [-81, -77, -65, 2, -8, 28, 29, 43, 86]

Pass 5:
  Compare -81 and -77
  No swap needed
  Compare -77 and -65
  No swap needed
  Compare -65 and 2
  No swap needed
  Compare 2 and -8
  Swap 2 and -8
  List after swap: [-81, -77, -65, -8, 2, 28, 29, 43, 86]

Pass 6:
  Compare -81 and -77
  No swap needed
  Compare -77 and -65
  No swap needed
  Compare -65 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -77, -65, -8, 2, 28, 29, 43, 86]
</think>

<response>-81, -77, -65, -8, 2, 28, 29, 43, 86</response>


input: Sort the list -14, -15, -22, 45, -88 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-14, -15, -22, 45, -88]

Pass 1:
  Compare -14 and -15
  Swap -14 and -15
  List after swap: [-15, -14, -22, 45, -88]
  Compare -14 and -22
  Swap -14 and -22
  List after swap: [-15, -22, -14, 45, -88]
  Compare -14 and 45
  No swap needed
  Compare 45 and -88
  Swap 45 and -88
  List after swap: [-15, -22, -14, -88, 45]

Pass 2:
  Compare -15 and -22
  Swap -15 and -22
  List after swap: [-22, -15, -14, -88, 45]
  Compare -15 and -14
  No swap needed
  Compare -14 and -88
  Swap -14 and -88
  List after swap: [-22, -15, -88, -14, 45]

Pass 3:
  Compare -22 and -15
  No swap needed
  Compare -15 and -88
  Swap -15 and -88
  List after swap: [-22, -88, -15, -14, 45]

Pass 4:
  Compare -22 and -88
  Swap -22 and -88
  List after swap: [-88, -22, -15, -14, 45]

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

Final sorted list: [-88, -22, -15, -14, 45]
</think>

<response>-88, -22, -15, -14, 45</response>


input: Using the bubble sort method, sort 26, 28, -58, 31, -18, -46 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [26, 28, -58, 31, -18, -46]

Pass 1:
  Compare 26 and 28
  No swap needed
  Compare 28 and -58
  Swap 28 and -58
  List after swap: [26, -58, 28, 31, -18, -46]
  Compare 28 and 31
  No swap needed
  Compare 31 and -18
  Swap 31 and -18
  List after swap: [26, -58, 28, -18, 31, -46]
  Compare 31 and -46
  Swap 31 and -46
  List after swap: [26, -58, 28, -18, -46, 31]

Pass 2:
  Compare 26 and -58
  Swap 26 and -58
  List after swap: [-58, 26, 28, -18, -46, 31]
  Compare 26 and 28
  No swap needed
  Compare 28 and -18
  Swap 28 and -18
  List after swap: [-58, 26, -18, 28, -46, 31]
  Compare 28 and -46
  Swap 28 and -46
  List after swap: [-58, 26, -18, -46, 28, 31]

Pass 3:
  Compare -58 and 26
  No swap needed
  Compare 26 and -18
  Swap 26 and -18
  List after swap: [-58, -18, 26, -46, 28, 31]
  Compare 26 and -46
  Swap 26 and -46
  List after swap: [-58, -18, -46, 26, 28, 31]

Pass 4:
  Compare -58 and -18
  No swap needed
  Compare -18 and -46
  Swap -18 and -46
  List after swap: [-58, -46, -18, 26, 28, 31]

Pass 5:
  Compare -58 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -46, -18, 26, 28, 31]
</think>

<response>-58, -46, -18, 26, 28, 31</response>


input: Perform a bubble sort on the integers -18, 49, -16, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-18, 49, -16]

Pass 1:
  Compare -18 and 49
  No swap needed
  Compare 49 and -16
  Swap 49 and -16
  List after swap: [-18, -16, 49]

Pass 2:
  Compare -18 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-18, -16, 49]
</think>

<response>-18, -16, 49</response>


input: Sort these integers 24, -37, 12, 18, -82, 66, -6, 3, -78 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [24, -37, 12, 18, -82, 66, -6, 3, -78]

Pass 1:
  Compare 24 and -37
  Swap 24 and -37
  List after swap: [-37, 24, 12, 18, -82, 66, -6, 3, -78]
  Compare 24 and 12
  Swap 24 and 12
  List after swap: [-37, 12, 24, 18, -82, 66, -6, 3, -78]
  Compare 24 and 18
  Swap 24 and 18
  List after swap: [-37, 12, 18, 24, -82, 66, -6, 3, -78]
  Compare 24 and -82
  Swap 24 and -82
  List after swap: [-37, 12, 18, -82, 24, 66, -6, 3, -78]
  Compare 24 and 66
  No swap needed
  Compare 66 and -6
  Swap 66 and -6
  List after swap: [-37, 12, 18, -82, 24, -6, 66, 3, -78]
  Compare 66 and 3
  Swap 66 and 3
  List after swap: [-37, 12, 18, -82, 24, -6, 3, 66, -78]
  Compare 66 and -78
  Swap 66 and -78
  List after swap: [-37, 12, 18, -82, 24, -6, 3, -78, 66]

Pass 2:
  Compare -37 and 12
  No swap needed
  Compare 12 and 18
  No swap needed
  Compare 18 and -82
  Swap 18 and -82
  List after swap: [-37, 12, -82, 18, 24, -6, 3, -78, 66]
  Compare 18 and 24
  No swap needed
  Compare 24 and -6
  Swap 24 and -6
  List after swap: [-37, 12, -82, 18, -6, 24, 3, -78, 66]
  Compare 24 and 3
  Swap 24 and 3
  List after swap: [-37, 12, -82, 18, -6, 3, 24, -78, 66]
  Compare 24 and -78
  Swap 24 and -78
  List after swap: [-37, 12, -82, 18, -6, 3, -78, 24, 66]

Pass 3:
  Compare -37 and 12
  No swap needed
  Compare 12 and -82
  Swap 12 and -82
  List after swap: [-37, -82, 12, 18, -6, 3, -78, 24, 66]
  Compare 12 and 18
  No swap needed
  Compare 18 and -6
  Swap 18 and -6
  List after swap: [-37, -82, 12, -6, 18, 3, -78, 24, 66]
  Compare 18 and 3
  Swap 18 and 3
  List after swap: [-37, -82, 12, -6, 3, 18, -78, 24, 66]
  Compare 18 and -78
  Swap 18 and -78
  List after swap: [-37, -82, 12, -6, 3, -78, 18, 24, 66]

Pass 4:
  Compare -37 and -82
  Swap -37 and -82
  List after swap: [-82, -37, 12, -6, 3, -78, 18, 24, 66]
  Compare -37 and 12
  No swap needed
  Compare 12 and -6
  Swap 12 and -6
  List after swap: [-82, -37, -6, 12, 3, -78, 18, 24, 66]
  Compare 12 and 3
  Swap 12 and 3
  List after swap: [-82, -37, -6, 3, 12, -78, 18, 24, 66]
  Compare 12 and -78
  Swap 12 and -78
  List after swap: [-82, -37, -6, 3, -78, 12, 18, 24, 66]

Pass 5:
  Compare -82 and -37
  No swap needed
  Compare -37 and -6
  No swap needed
  Compare -6 and 3
  No swap needed
  Compare 3 and -78
  Swap 3 and -78
  List after swap: [-82, -37, -6, -78, 3, 12, 18, 24, 66]

Pass 6:
  Compare -82 and -37
  No swap needed
  Compare -37 and -6
  No swap needed
  Compare -6 and -78
  Swap -6 and -78
  List after swap: [-82, -37, -78, -6, 3, 12, 18, 24, 66]

Pass 7:
  Compare -82 and -37
  No swap needed
  Compare -37 and -78
  Swap -37 and -78
  List after swap: [-82, -78, -37, -6, 3, 12, 18, 24, 66]

Pass 8:
  Compare -82 and -78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -78, -37, -6, 3, 12, 18, 24, 66]
</think>

<response>-82, -78, -37, -6, 3, 12, 18, 24, 66</response>


input: Perform a bubble sort on the integers 35, 40, 89, 29, 2, -55, 79, 44, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [35, 40, 89, 29, 2, -55, 79, 44]

Pass 1:
  Compare 35 and 40
  No swap needed
  Compare 40 and 89
  No swap needed
  Compare 89 and 29
  Swap 89 and 29
  List after swap: [35, 40, 29, 89, 2, -55, 79, 44]
  Compare 89 and 2
  Swap 89 and 2
  List after swap: [35, 40, 29, 2, 89, -55, 79, 44]
  Compare 89 and -55
  Swap 89 and -55
  List after swap: [35, 40, 29, 2, -55, 89, 79, 44]
  Compare 89 and 79
  Swap 89 and 79
  List after swap: [35, 40, 29, 2, -55, 79, 89, 44]
  Compare 89 and 44
  Swap 89 and 44
  List after swap: [35, 40, 29, 2, -55, 79, 44, 89]

Pass 2:
  Compare 35 and 40
  No swap needed
  Compare 40 and 29
  Swap 40 and 29
  List after swap: [35, 29, 40, 2, -55, 79, 44, 89]
  Compare 40 and 2
  Swap 40 and 2
  List after swap: [35, 29, 2, 40, -55, 79, 44, 89]
  Compare 40 and -55
  Swap 40 and -55
  List after swap: [35, 29, 2, -55, 40, 79, 44, 89]
  Compare 40 and 79
  No swap needed
  Compare 79 and 44
  Swap 79 and 44
  List after swap: [35, 29, 2, -55, 40, 44, 79, 89]

Pass 3:
  Compare 35 and 29
  Swap 35 and 29
  List after swap: [29, 35, 2, -55, 40, 44, 79, 89]
  Compare 35 and 2
  Swap 35 and 2
  List after swap: [29, 2, 35, -55, 40, 44, 79, 89]
  Compare 35 and -55
  Swap 35 and -55
  List after swap: [29, 2, -55, 35, 40, 44, 79, 89]
  Compare 35 and 40
  No swap needed
  Compare 40 and 44
  No swap needed

Pass 4:
  Compare 29 and 2
  Swap 29 and 2
  List after swap: [2, 29, -55, 35, 40, 44, 79, 89]
  Compare 29 and -55
  Swap 29 and -55
  List after swap: [2, -55, 29, 35, 40, 44, 79, 89]
  Compare 29 and 35
  No swap needed
  Compare 35 and 40
  No swap needed

Pass 5:
  Compare 2 and -55
  Swap 2 and -55
  List after swap: [-55, 2, 29, 35, 40, 44, 79, 89]
  Compare 2 and 29
  No swap needed
  Compare 29 and 35
  No swap needed

Pass 6:
  Compare -55 and 2
  No swap needed
  Compare 2 and 29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, 2, 29, 35, 40, 44, 79, 89]
</think>

<response>-55, 2, 29, 35, 40, 44, 79, 89</response>


input: Arrange the numbers -34, -43, -53, -95, 18, -28 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-34, -43, -53, -95, 18, -28]

Pass 1:
  Compare -34 and -43
  Swap -34 and -43
  List after swap: [-43, -34, -53, -95, 18, -28]
  Compare -34 and -53
  Swap -34 and -53
  List after swap: [-43, -53, -34, -95, 18, -28]
  Compare -34 and -95
  Swap -34 and -95
  List after swap: [-43, -53, -95, -34, 18, -28]
  Compare -34 and 18
  No swap needed
  Compare 18 and -28
  Swap 18 and -28
  List after swap: [-43, -53, -95, -34, -28, 18]

Pass 2:
  Compare -43 and -53
  Swap -43 and -53
  List after swap: [-53, -43, -95, -34, -28, 18]
  Compare -43 and -95
  Swap -43 and -95
  List after swap: [-53, -95, -43, -34, -28, 18]
  Compare -43 and -34
  No swap needed
  Compare -34 and -28
  No swap needed

Pass 3:
  Compare -53 and -95
  Swap -53 and -95
  List after swap: [-95, -53, -43, -34, -28, 18]
  Compare -53 and -43
  No swap needed
  Compare -43 and -34
  No swap needed

Pass 4:
  Compare -95 and -53
  No swap needed
  Compare -53 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -53, -43, -34, -28, 18]
</think>

<response>-95, -53, -43, -34, -28, 18</response>


input: Carry out the bubble sort algorithm on -28, 44, -74, -99, -76, 20, -16 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-28, 44, -74, -99, -76, 20, -16]

Pass 1:
  Compare -28 and 44
  No swap needed
  Compare 44 and -74
  Swap 44 and -74
  List after swap: [-28, -74, 44, -99, -76, 20, -16]
  Compare 44 and -99
  Swap 44 and -99
  List after swap: [-28, -74, -99, 44, -76, 20, -16]
  Compare 44 and -76
  Swap 44 and -76
  List after swap: [-28, -74, -99, -76, 44, 20, -16]
  Compare 44 and 20
  Swap 44 and 20
  List after swap: [-28, -74, -99, -76, 20, 44, -16]
  Compare 44 and -16
  Swap 44 and -16
  List after swap: [-28, -74, -99, -76, 20, -16, 44]

Pass 2:
  Compare -28 and -74
  Swap -28 and -74
  List after swap: [-74, -28, -99, -76, 20, -16, 44]
  Compare -28 and -99
  Swap -28 and -99
  List after swap: [-74, -99, -28, -76, 20, -16, 44]
  Compare -28 and -76
  Swap -28 and -76
  List after swap: [-74, -99, -76, -28, 20, -16, 44]
  Compare -28 and 20
  No swap needed
  Compare 20 and -16
  Swap 20 and -16
  List after swap: [-74, -99, -76, -28, -16, 20, 44]

Pass 3:
  Compare -74 and -99
  Swap -74 and -99
  List after swap: [-99, -74, -76, -28, -16, 20, 44]
  Compare -74 and -76
  Swap -74 and -76
  List after swap: [-99, -76, -74, -28, -16, 20, 44]
  Compare -74 and -28
  No swap needed
  Compare -28 and -16
  No swap needed

Pass 4:
  Compare -99 and -76
  No swap needed
  Compare -76 and -74
  No swap needed
  Compare -74 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -76, -74, -28, -16, 20, 44]
</think>

<response>-99, -76, -74, -28, -16, 20, 44</response>


input: Execute bubble sort to sort 40, 25, -64, 70, -15 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [40, 25, -64, 70, -15]

Pass 1:
  Compare 40 and 25
  Swap 40 and 25
  List after swap: [25, 40, -64, 70, -15]
  Compare 40 and -64
  Swap 40 and -64
  List after swap: [25, -64, 40, 70, -15]
  Compare 40 and 70
  No swap needed
  Compare 70 and -15
  Swap 70 and -15
  List after swap: [25, -64, 40, -15, 70]

Pass 2:
  Compare 25 and -64
  Swap 25 and -64
  List after swap: [-64, 25, 40, -15, 70]
  Compare 25 and 40
  No swap needed
  Compare 40 and -15
  Swap 40 and -15
  List after swap: [-64, 25, -15, 40, 70]

Pass 3:
  Compare -64 and 25
  No swap needed
  Compare 25 and -15
  Swap 25 and -15
  List after swap: [-64, -15, 25, 40, 70]

Pass 4:
  Compare -64 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -15, 25, 40, 70]
</think>

<response>-64, -15, 25, 40, 70</response>


input: Perform a bubble sort on the integers -17, -21, -46, -12, 87, 77, -86, 8, -28, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-17, -21, -46, -12, 87, 77, -86, 8, -28]

Pass 1:
  Compare -17 and -21
  Swap -17 and -21
  List after swap: [-21, -17, -46, -12, 87, 77, -86, 8, -28]
  Compare -17 and -46
  Swap -17 and -46
  List after swap: [-21, -46, -17, -12, 87, 77, -86, 8, -28]
  Compare -17 and -12
  No swap needed
  Compare -12 and 87
  No swap needed
  Compare 87 and 77
  Swap 87 and 77
  List after swap: [-21, -46, -17, -12, 77, 87, -86, 8, -28]
  Compare 87 and -86
  Swap 87 and -86
  List after swap: [-21, -46, -17, -12, 77, -86, 87, 8, -28]
  Compare 87 and 8
  Swap 87 and 8
  List after swap: [-21, -46, -17, -12, 77, -86, 8, 87, -28]
  Compare 87 and -28
  Swap 87 and -28
  List after swap: [-21, -46, -17, -12, 77, -86, 8, -28, 87]

Pass 2:
  Compare -21 and -46
  Swap -21 and -46
  List after swap: [-46, -21, -17, -12, 77, -86, 8, -28, 87]
  Compare -21 and -17
  No swap needed
  Compare -17 and -12
  No swap needed
  Compare -12 and 77
  No swap needed
  Compare 77 and -86
  Swap 77 and -86
  List after swap: [-46, -21, -17, -12, -86, 77, 8, -28, 87]
  Compare 77 and 8
  Swap 77 and 8
  List after swap: [-46, -21, -17, -12, -86, 8, 77, -28, 87]
  Compare 77 and -28
  Swap 77 and -28
  List after swap: [-46, -21, -17, -12, -86, 8, -28, 77, 87]

Pass 3:
  Compare -46 and -21
  No swap needed
  Compare -21 and -17
  No swap needed
  Compare -17 and -12
  No swap needed
  Compare -12 and -86
  Swap -12 and -86
  List after swap: [-46, -21, -17, -86, -12, 8, -28, 77, 87]
  Compare -12 and 8
  No swap needed
  Compare 8 and -28
  Swap 8 and -28
  List after swap: [-46, -21, -17, -86, -12, -28, 8, 77, 87]

Pass 4:
  Compare -46 and -21
  No swap needed
  Compare -21 and -17
  No swap needed
  Compare -17 and -86
  Swap -17 and -86
  List after swap: [-46, -21, -86, -17, -12, -28, 8, 77, 87]
  Compare -17 and -12
  No swap needed
  Compare -12 and -28
  Swap -12 and -28
  List after swap: [-46, -21, -86, -17, -28, -12, 8, 77, 87]

Pass 5:
  Compare -46 and -21
  No swap needed
  Compare -21 and -86
  Swap -21 and -86
  List after swap: [-46, -86, -21, -17, -28, -12, 8, 77, 87]
  Compare -21 and -17
  No swap needed
  Compare -17 and -28
  Swap -17 and -28
  List after swap: [-46, -86, -21, -28, -17, -12, 8, 77, 87]

Pass 6:
  Compare -46 and -86
  Swap -46 and -86
  List after swap: [-86, -46, -21, -28, -17, -12, 8, 77, 87]
  Compare -46 and -21
  No swap needed
  Compare -21 and -28
  Swap -21 and -28
  List after swap: [-86, -46, -28, -21, -17, -12, 8, 77, 87]

Pass 7:
  Compare -86 and -46
  No swap needed
  Compare -46 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -46, -28, -21, -17, -12, 8, 77, 87]
</think>

<response>-86, -46, -28, -21, -17, -12, 8, 77, 87</response>


input: Sort these integers 1, -30, 27, 11, -58, 89, -40, 94 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [1, -30, 27, 11, -58, 89, -40, 94]

Pass 1:
  Compare 1 and -30
  Swap 1 and -30
  List after swap: [-30, 1, 27, 11, -58, 89, -40, 94]
  Compare 1 and 27
  No swap needed
  Compare 27 and 11
  Swap 27 and 11
  List after swap: [-30, 1, 11, 27, -58, 89, -40, 94]
  Compare 27 and -58
  Swap 27 and -58
  List after swap: [-30, 1, 11, -58, 27, 89, -40, 94]
  Compare 27 and 89
  No swap needed
  Compare 89 and -40
  Swap 89 and -40
  List after swap: [-30, 1, 11, -58, 27, -40, 89, 94]
  Compare 89 and 94
  No swap needed

Pass 2:
  Compare -30 and 1
  No swap needed
  Compare 1 and 11
  No swap needed
  Compare 11 and -58
  Swap 11 and -58
  List after swap: [-30, 1, -58, 11, 27, -40, 89, 94]
  Compare 11 and 27
  No swap needed
  Compare 27 and -40
  Swap 27 and -40
  List after swap: [-30, 1, -58, 11, -40, 27, 89, 94]
  Compare 27 and 89
  No swap needed

Pass 3:
  Compare -30 and 1
  No swap needed
  Compare 1 and -58
  Swap 1 and -58
  List after swap: [-30, -58, 1, 11, -40, 27, 89, 94]
  Compare 1 and 11
  No swap needed
  Compare 11 and -40
  Swap 11 and -40
  List after swap: [-30, -58, 1, -40, 11, 27, 89, 94]
  Compare 11 and 27
  No swap needed

Pass 4:
  Compare -30 and -58
  Swap -30 and -58
  List after swap: [-58, -30, 1, -40, 11, 27, 89, 94]
  Compare -30 and 1
  No swap needed
  Compare 1 and -40
  Swap 1 and -40
  List after swap: [-58, -30, -40, 1, 11, 27, 89, 94]
  Compare 1 and 11
  No swap needed

Pass 5:
  Compare -58 and -30
  No swap needed
  Compare -30 and -40
  Swap -30 and -40
  List after swap: [-58, -40, -30, 1, 11, 27, 89, 94]
  Compare -30 and 1
  No swap needed

Pass 6:
  Compare -58 and -40
  No swap needed
  Compare -40 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -40, -30, 1, 11, 27, 89, 94]
</think>

<response>-58, -40, -30, 1, 11, 27, 89, 94</response>


input: Implement bubble sort on -5, -66 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-5, -66]

Pass 1:
  Compare -5 and -66
  Swap -5 and -66
  List after swap: [-66, -5]

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

Final sorted list: [-66, -5]
</think>

<response>-66, -5</response>


input: Implement bubble sort on -22, 76, 97, -32, 70, -31, 84, -81, 52 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-22, 76, 97, -32, 70, -31, 84, -81, 52]

Pass 1:
  Compare -22 and 76
  No swap needed
  Compare 76 and 97
  No swap needed
  Compare 97 and -32
  Swap 97 and -32
  List after swap: [-22, 76, -32, 97, 70, -31, 84, -81, 52]
  Compare 97 and 70
  Swap 97 and 70
  List after swap: [-22, 76, -32, 70, 97, -31, 84, -81, 52]
  Compare 97 and -31
  Swap 97 and -31
  List after swap: [-22, 76, -32, 70, -31, 97, 84, -81, 52]
  Compare 97 and 84
  Swap 97 and 84
  List after swap: [-22, 76, -32, 70, -31, 84, 97, -81, 52]
  Compare 97 and -81
  Swap 97 and -81
  List after swap: [-22, 76, -32, 70, -31, 84, -81, 97, 52]
  Compare 97 and 52
  Swap 97 and 52
  List after swap: [-22, 76, -32, 70, -31, 84, -81, 52, 97]

Pass 2:
  Compare -22 and 76
  No swap needed
  Compare 76 and -32
  Swap 76 and -32
  List after swap: [-22, -32, 76, 70, -31, 84, -81, 52, 97]
  Compare 76 and 70
  Swap 76 and 70
  List after swap: [-22, -32, 70, 76, -31, 84, -81, 52, 97]
  Compare 76 and -31
  Swap 76 and -31
  List after swap: [-22, -32, 70, -31, 76, 84, -81, 52, 97]
  Compare 76 and 84
  No swap needed
  Compare 84 and -81
  Swap 84 and -81
  List after swap: [-22, -32, 70, -31, 76, -81, 84, 52, 97]
  Compare 84 and 52
  Swap 84 and 52
  List after swap: [-22, -32, 70, -31, 76, -81, 52, 84, 97]

Pass 3:
  Compare -22 and -32
  Swap -22 and -32
  List after swap: [-32, -22, 70, -31, 76, -81, 52, 84, 97]
  Compare -22 and 70
  No swap needed
  Compare 70 and -31
  Swap 70 and -31
  List after swap: [-32, -22, -31, 70, 76, -81, 52, 84, 97]
  Compare 70 and 76
  No swap needed
  Compare 76 and -81
  Swap 76 and -81
  List after swap: [-32, -22, -31, 70, -81, 76, 52, 84, 97]
  Compare 76 and 52
  Swap 76 and 52
  List after swap: [-32, -22, -31, 70, -81, 52, 76, 84, 97]

Pass 4:
  Compare -32 and -22
  No swap needed
  Compare -22 and -31
  Swap -22 and -31
  List after swap: [-32, -31, -22, 70, -81, 52, 76, 84, 97]
  Compare -22 and 70
  No swap needed
  Compare 70 and -81
  Swap 70 and -81
  List after swap: [-32, -31, -22, -81, 70, 52, 76, 84, 97]
  Compare 70 and 52
  Swap 70 and 52
  List after swap: [-32, -31, -22, -81, 52, 70, 76, 84, 97]

Pass 5:
  Compare -32 and -31
  No swap needed
  Compare -31 and -22
  No swap needed
  Compare -22 and -81
  Swap -22 and -81
  List after swap: [-32, -31, -81, -22, 52, 70, 76, 84, 97]
  Compare -22 and 52
  No swap needed

Pass 6:
  Compare -32 and -31
  No swap needed
  Compare -31 and -81
  Swap -31 and -81
  List after swap: [-32, -81, -31, -22, 52, 70, 76, 84, 97]
  Compare -31 and -22
  No swap needed

Pass 7:
  Compare -32 and -81
  Swap -32 and -81
  List after swap: [-81, -32, -31, -22, 52, 70, 76, 84, 97]
  Compare -32 and -31
  No swap needed

Pass 8:
  Compare -81 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -32, -31, -22, 52, 70, 76, 84, 97]
</think>

<response>-81, -32, -31, -22, 52, 70, 76, 84, 97</response>


input: Sort these integers 60, 10, 41, 4, -56, -86, -92, -17, 16, -32 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [60, 10, 41, 4, -56, -86, -92, -17, 16, -32]

Pass 1:
  Compare 60 and 10
  Swap 60 and 10
  List after swap: [10, 60, 41, 4, -56, -86, -92, -17, 16, -32]
  Compare 60 and 41
  Swap 60 and 41
  List after swap: [10, 41, 60, 4, -56, -86, -92, -17, 16, -32]
  Compare 60 and 4
  Swap 60 and 4
  List after swap: [10, 41, 4, 60, -56, -86, -92, -17, 16, -32]
  Compare 60 and -56
  Swap 60 and -56
  List after swap: [10, 41, 4, -56, 60, -86, -92, -17, 16, -32]
  Compare 60 and -86
  Swap 60 and -86
  List after swap: [10, 41, 4, -56, -86, 60, -92, -17, 16, -32]
  Compare 60 and -92
  Swap 60 and -92
  List after swap: [10, 41, 4, -56, -86, -92, 60, -17, 16, -32]
  Compare 60 and -17
  Swap 60 and -17
  List after swap: [10, 41, 4, -56, -86, -92, -17, 60, 16, -32]
  Compare 60 and 16
  Swap 60 and 16
  List after swap: [10, 41, 4, -56, -86, -92, -17, 16, 60, -32]
  Compare 60 and -32
  Swap 60 and -32
  List after swap: [10, 41, 4, -56, -86, -92, -17, 16, -32, 60]

Pass 2:
  Compare 10 and 41
  No swap needed
  Compare 41 and 4
  Swap 41 and 4
  List after swap: [10, 4, 41, -56, -86, -92, -17, 16, -32, 60]
  Compare 41 and -56
  Swap 41 and -56
  List after swap: [10, 4, -56, 41, -86, -92, -17, 16, -32, 60]
  Compare 41 and -86
  Swap 41 and -86
  List after swap: [10, 4, -56, -86, 41, -92, -17, 16, -32, 60]
  Compare 41 and -92
  Swap 41 and -92
  List after swap: [10, 4, -56, -86, -92, 41, -17, 16, -32, 60]
  Compare 41 and -17
  Swap 41 and -17
  List after swap: [10, 4, -56, -86, -92, -17, 41, 16, -32, 60]
  Compare 41 and 16
  Swap 41 and 16
  List after swap: [10, 4, -56, -86, -92, -17, 16, 41, -32, 60]
  Compare 41 and -32
  Swap 41 and -32
  List after swap: [10, 4, -56, -86, -92, -17, 16, -32, 41, 60]

Pass 3:
  Compare 10 and 4
  Swap 10 and 4
  List after swap: [4, 10, -56, -86, -92, -17, 16, -32, 41, 60]
  Compare 10 and -56
  Swap 10 and -56
  List after swap: [4, -56, 10, -86, -92, -17, 16, -32, 41, 60]
  Compare 10 and -86
  Swap 10 and -86
  List after swap: [4, -56, -86, 10, -92, -17, 16, -32, 41, 60]
  Compare 10 and -92
  Swap 10 and -92
  List after swap: [4, -56, -86, -92, 10, -17, 16, -32, 41, 60]
  Compare 10 and -17
  Swap 10 and -17
  List after swap: [4, -56, -86, -92, -17, 10, 16, -32, 41, 60]
  Compare 10 and 16
  No swap needed
  Compare 16 and -32
  Swap 16 and -32
  List after swap: [4, -56, -86, -92, -17, 10, -32, 16, 41, 60]

Pass 4:
  Compare 4 and -56
  Swap 4 and -56
  List after swap: [-56, 4, -86, -92, -17, 10, -32, 16, 41, 60]
  Compare 4 and -86
  Swap 4 and -86
  List after swap: [-56, -86, 4, -92, -17, 10, -32, 16, 41, 60]
  Compare 4 and -92
  Swap 4 and -92
  List after swap: [-56, -86, -92, 4, -17, 10, -32, 16, 41, 60]
  Compare 4 and -17
  Swap 4 and -17
  List after swap: [-56, -86, -92, -17, 4, 10, -32, 16, 41, 60]
  Compare 4 and 10
  No swap needed
  Compare 10 and -32
  Swap 10 and -32
  List after swap: [-56, -86, -92, -17, 4, -32, 10, 16, 41, 60]

Pass 5:
  Compare -56 and -86
  Swap -56 and -86
  List after swap: [-86, -56, -92, -17, 4, -32, 10, 16, 41, 60]
  Compare -56 and -92
  Swap -56 and -92
  List after swap: [-86, -92, -56, -17, 4, -32, 10, 16, 41, 60]
  Compare -56 and -17
  No swap needed
  Compare -17 and 4
  No swap needed
  Compare 4 and -32
  Swap 4 and -32
  List after swap: [-86, -92, -56, -17, -32, 4, 10, 16, 41, 60]

Pass 6:
  Compare -86 and -92
  Swap -86 and -92
  List after swap: [-92, -86, -56, -17, -32, 4, 10, 16, 41, 60]
  Compare -86 and -56
  No swap needed
  Compare -56 and -17
  No swap needed
  Compare -17 and -32
  Swap -17 and -32
  List after swap: [-92, -86, -56, -32, -17, 4, 10, 16, 41, 60]

Pass 7:
  Compare -92 and -86
  No swap needed
  Compare -86 and -56
  No swap needed
  Compare -56 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -86, -56, -32, -17, 4, 10, 16, 41, 60]
</think>

<response>-92, -86, -56, -32, -17, 4, 10, 16, 41, 60</response>


input: Perform a bubble sort on the integers 42, 38, -98, -65, 89, -37, -11, 54, 43, 99, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [42, 38, -98, -65, 89, -37, -11, 54, 43, 99]

Pass 1:
  Compare 42 and 38
  Swap 42 and 38
  List after swap: [38, 42, -98, -65, 89, -37, -11, 54, 43, 99]
  Compare 42 and -98
  Swap 42 and -98
  List after swap: [38, -98, 42, -65, 89, -37, -11, 54, 43, 99]
  Compare 42 and -65
  Swap 42 and -65
  List after swap: [38, -98, -65, 42, 89, -37, -11, 54, 43, 99]
  Compare 42 and 89
  No swap needed
  Compare 89 and -37
  Swap 89 and -37
  List after swap: [38, -98, -65, 42, -37, 89, -11, 54, 43, 99]
  Compare 89 and -11
  Swap 89 and -11
  List after swap: [38, -98, -65, 42, -37, -11, 89, 54, 43, 99]
  Compare 89 and 54
  Swap 89 and 54
  List after swap: [38, -98, -65, 42, -37, -11, 54, 89, 43, 99]
  Compare 89 and 43
  Swap 89 and 43
  List after swap: [38, -98, -65, 42, -37, -11, 54, 43, 89, 99]
  Compare 89 and 99
  No swap needed

Pass 2:
  Compare 38 and -98
  Swap 38 and -98
  List after swap: [-98, 38, -65, 42, -37, -11, 54, 43, 89, 99]
  Compare 38 and -65
  Swap 38 and -65
  List after swap: [-98, -65, 38, 42, -37, -11, 54, 43, 89, 99]
  Compare 38 and 42
  No swap needed
  Compare 42 and -37
  Swap 42 and -37
  List after swap: [-98, -65, 38, -37, 42, -11, 54, 43, 89, 99]
  Compare 42 and -11
  Swap 42 and -11
  List after swap: [-98, -65, 38, -37, -11, 42, 54, 43, 89, 99]
  Compare 42 and 54
  No swap needed
  Compare 54 and 43
  Swap 54 and 43
  List after swap: [-98, -65, 38, -37, -11, 42, 43, 54, 89, 99]
  Compare 54 and 89
  No swap needed

Pass 3:
  Compare -98 and -65
  No swap needed
  Compare -65 and 38
  No swap needed
  Compare 38 and -37
  Swap 38 and -37
  List after swap: [-98, -65, -37, 38, -11, 42, 43, 54, 89, 99]
  Compare 38 and -11
  Swap 38 and -11
  List after swap: [-98, -65, -37, -11, 38, 42, 43, 54, 89, 99]
  Compare 38 and 42
  No swap needed
  Compare 42 and 43
  No swap needed
  Compare 43 and 54
  No swap needed

Pass 4:
  Compare -98 and -65
  No swap needed
  Compare -65 and -37
  No swap needed
  Compare -37 and -11
  No swap needed
  Compare -11 and 38
  No swap needed
  Compare 38 and 42
  No swap needed
  Compare 42 and 43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -65, -37, -11, 38, 42, 43, 54, 89, 99]
</think>

<response>-98, -65, -37, -11, 38, 42, 43, 54, 89, 99</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 24, -1, 82, -44, -67, -93, -82.

output:
<think>
Initial list: [24, -1, 82, -44, -67, -93, -82]

Pass 1:
  Compare 24 and -1
  Swap 24 and -1
  List after swap: [-1, 24, 82, -44, -67, -93, -82]
  Compare 24 and 82
  No swap needed
  Compare 82 and -44
  Swap 82 and -44
  List after swap: [-1, 24, -44, 82, -67, -93, -82]
  Compare 82 and -67
  Swap 82 and -67
  List after swap: [-1, 24, -44, -67, 82, -93, -82]
  Compare 82 and -93
  Swap 82 and -93
  List after swap: [-1, 24, -44, -67, -93, 82, -82]
  Compare 82 and -82
  Swap 82 and -82
  List after swap: [-1, 24, -44, -67, -93, -82, 82]

Pass 2:
  Compare -1 and 24
  No swap needed
  Compare 24 and -44
  Swap 24 and -44
  List after swap: [-1, -44, 24, -67, -93, -82, 82]
  Compare 24 and -67
  Swap 24 and -67
  List after swap: [-1, -44, -67, 24, -93, -82, 82]
  Compare 24 and -93
  Swap 24 and -93
  List after swap: [-1, -44, -67, -93, 24, -82, 82]
  Compare 24 and -82
  Swap 24 and -82
  List after swap: [-1, -44, -67, -93, -82, 24, 82]

Pass 3:
  Compare -1 and -44
  Swap -1 and -44
  List after swap: [-44, -1, -67, -93, -82, 24, 82]
  Compare -1 and -67
  Swap -1 and -67
  List after swap: [-44, -67, -1, -93, -82, 24, 82]
  Compare -1 and -93
  Swap -1 and -93
  List after swap: [-44, -67, -93, -1, -82, 24, 82]
  Compare -1 and -82
  Swap -1 and -82
  List after swap: [-44, -67, -93, -82, -1, 24, 82]

Pass 4:
  Compare -44 and -67
  Swap -44 and -67
  List after swap: [-67, -44, -93, -82, -1, 24, 82]
  Compare -44 and -93
  Swap -44 and -93
  List after swap: [-67, -93, -44, -82, -1, 24, 82]
  Compare -44 and -82
  Swap -44 and -82
  List after swap: [-67, -93, -82, -44, -1, 24, 82]

Pass 5:
  Compare -67 and -93
  Swap -67 and -93
  List after swap: [-93, -67, -82, -44, -1, 24, 82]
  Compare -67 and -82
  Swap -67 and -82
  List after swap: [-93, -82, -67, -44, -1, 24, 82]

Pass 6:
  Compare -93 and -82
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -82, -67, -44, -1, 24, 82]
</think>

<response>-93, -82, -67, -44, -1, 24, 82</response>


input: Carry out the bubble sort algorithm on 68, 78 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [68, 78]

Pass 1:
  Compare 68 and 78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [68, 78]
</think>

<response>68, 78</response>


input: Perform a bubble sort on the integers 34, -54, 29, -94, -61, 79, 26, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [34, -54, 29, -94, -61, 79, 26]

Pass 1:
  Compare 34 and -54
  Swap 34 and -54
  List after swap: [-54, 34, 29, -94, -61, 79, 26]
  Compare 34 and 29
  Swap 34 and 29
  List after swap: [-54, 29, 34, -94, -61, 79, 26]
  Compare 34 and -94
  Swap 34 and -94
  List after swap: [-54, 29, -94, 34, -61, 79, 26]
  Compare 34 and -61
  Swap 34 and -61
  List after swap: [-54, 29, -94, -61, 34, 79, 26]
  Compare 34 and 79
  No swap needed
  Compare 79 and 26
  Swap 79 and 26
  List after swap: [-54, 29, -94, -61, 34, 26, 79]

Pass 2:
  Compare -54 and 29
  No swap needed
  Compare 29 and -94
  Swap 29 and -94
  List after swap: [-54, -94, 29, -61, 34, 26, 79]
  Compare 29 and -61
  Swap 29 and -61
  List after swap: [-54, -94, -61, 29, 34, 26, 79]
  Compare 29 and 34
  No swap needed
  Compare 34 and 26
  Swap 34 and 26
  List after swap: [-54, -94, -61, 29, 26, 34, 79]

Pass 3:
  Compare -54 and -94
  Swap -54 and -94
  List after swap: [-94, -54, -61, 29, 26, 34, 79]
  Compare -54 and -61
  Swap -54 and -61
  List after swap: [-94, -61, -54, 29, 26, 34, 79]
  Compare -54 and 29
  No swap needed
  Compare 29 and 26
  Swap 29 and 26
  List after swap: [-94, -61, -54, 26, 29, 34, 79]

Pass 4:
  Compare -94 and -61
  No swap needed
  Compare -61 and -54
  No swap needed
  Compare -54 and 26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -61, -54, 26, 29, 34, 79]
</think>

<response>-94, -61, -54, 26, 29, 34, 79</response>


input: Demonstrate how bubble sort orders the integers 19, 74, 53, -47, -39, -69, -75 in ascending sequence, showing all steps.

output:
<think>
Initial list: [19, 74, 53, -47, -39, -69, -75]

Pass 1:
  Compare 19 and 74
  No swap needed
  Compare 74 and 53
  Swap 74 and 53
  List after swap: [19, 53, 74, -47, -39, -69, -75]
  Compare 74 and -47
  Swap 74 and -47
  List after swap: [19, 53, -47, 74, -39, -69, -75]
  Compare 74 and -39
  Swap 74 and -39
  List after swap: [19, 53, -47, -39, 74, -69, -75]
  Compare 74 and -69
  Swap 74 and -69
  List after swap: [19, 53, -47, -39, -69, 74, -75]
  Compare 74 and -75
  Swap 74 and -75
  List after swap: [19, 53, -47, -39, -69, -75, 74]

Pass 2:
  Compare 19 and 53
  No swap needed
  Compare 53 and -47
  Swap 53 and -47
  List after swap: [19, -47, 53, -39, -69, -75, 74]
  Compare 53 and -39
  Swap 53 and -39
  List after swap: [19, -47, -39, 53, -69, -75, 74]
  Compare 53 and -69
  Swap 53 and -69
  List after swap: [19, -47, -39, -69, 53, -75, 74]
  Compare 53 and -75
  Swap 53 and -75
  List after swap: [19, -47, -39, -69, -75, 53, 74]

Pass 3:
  Compare 19 and -47
  Swap 19 and -47
  List after swap: [-47, 19, -39, -69, -75, 53, 74]
  Compare 19 and -39
  Swap 19 and -39
  List after swap: [-47, -39, 19, -69, -75, 53, 74]
  Compare 19 and -69
  Swap 19 and -69
  List after swap: [-47, -39, -69, 19, -75, 53, 74]
  Compare 19 and -75
  Swap 19 and -75
  List after swap: [-47, -39, -69, -75, 19, 53, 74]

Pass 4:
  Compare -47 and -39
  No swap needed
  Compare -39 and -69
  Swap -39 and -69
  List after swap: [-47, -69, -39, -75, 19, 53, 74]
  Compare -39 and -75
  Swap -39 and -75
  List after swap: [-47, -69, -75, -39, 19, 53, 74]

Pass 5:
  Compare -47 and -69
  Swap -47 and -69
  List after swap: [-69, -47, -75, -39, 19, 53, 74]
  Compare -47 and -75
  Swap -47 and -75
  List after swap: [-69, -75, -47, -39, 19, 53, 74]

Pass 6:
  Compare -69 and -75
  Swap -69 and -75
  List after swap: [-75, -69, -47, -39, 19, 53, 74]

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

Final sorted list: [-75, -69, -47, -39, 19, 53, 74]
</think>

<response>-75, -69, -47, -39, 19, 53, 74</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -48, 55, -75.

output:
<think>
Initial list: [-48, 55, -75]

Pass 1:
  Compare -48 and 55
  No swap needed
  Compare 55 and -75
  Swap 55 and -75
  List after swap: [-48, -75, 55]

Pass 2:
  Compare -48 and -75
  Swap -48 and -75
  List after swap: [-75, -48, 55]

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

Final sorted list: [-75, -48, 55]
</think>

<response>-75, -48, 55</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -11, -48, -78, 65, 45, 18, 25.

output:
<think>
Initial list: [-11, -48, -78, 65, 45, 18, 25]

Pass 1:
  Compare -11 and -48
  Swap -11 and -48
  List after swap: [-48, -11, -78, 65, 45, 18, 25]
  Compare -11 and -78
  Swap -11 and -78
  List after swap: [-48, -78, -11, 65, 45, 18, 25]
  Compare -11 and 65
  No swap needed
  Compare 65 and 45
  Swap 65 and 45
  List after swap: [-48, -78, -11, 45, 65, 18, 25]
  Compare 65 and 18
  Swap 65 and 18
  List after swap: [-48, -78, -11, 45, 18, 65, 25]
  Compare 65 and 25
  Swap 65 and 25
  List after swap: [-48, -78, -11, 45, 18, 25, 65]

Pass 2:
  Compare -48 and -78
  Swap -48 and -78
  List after swap: [-78, -48, -11, 45, 18, 25, 65]
  Compare -48 and -11
  No swap needed
  Compare -11 and 45
  No swap needed
  Compare 45 and 18
  Swap 45 and 18
  List after swap: [-78, -48, -11, 18, 45, 25, 65]
  Compare 45 and 25
  Swap 45 and 25
  List after swap: [-78, -48, -11, 18, 25, 45, 65]

Pass 3:
  Compare -78 and -48
  No swap needed
  Compare -48 and -11
  No swap needed
  Compare -11 and 18
  No swap needed
  Compare 18 and 25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -48, -11, 18, 25, 45, 65]
</think>

<response>-78, -48, -11, 18, 25, 45, 65</response>


input: Use the bubble sort technique to reorder 9, 31 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [9, 31]

Pass 1:
  Compare 9 and 31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [9, 31]
</think>

<response>9, 31</response>


input: Carry out the bubble sort algorithm on 69, -4, -99, -11, -75, -96 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [69, -4, -99, -11, -75, -96]

Pass 1:
  Compare 69 and -4
  Swap 69 and -4
  List after swap: [-4, 69, -99, -11, -75, -96]
  Compare 69 and -99
  Swap 69 and -99
  List after swap: [-4, -99, 69, -11, -75, -96]
  Compare 69 and -11
  Swap 69 and -11
  List after swap: [-4, -99, -11, 69, -75, -96]
  Compare 69 and -75
  Swap 69 and -75
  List after swap: [-4, -99, -11, -75, 69, -96]
  Compare 69 and -96
  Swap 69 and -96
  List after swap: [-4, -99, -11, -75, -96, 69]

Pass 2:
  Compare -4 and -99
  Swap -4 and -99
  List after swap: [-99, -4, -11, -75, -96, 69]
  Compare -4 and -11
  Swap -4 and -11
  List after swap: [-99, -11, -4, -75, -96, 69]
  Compare -4 and -75
  Swap -4 and -75
  List after swap: [-99, -11, -75, -4, -96, 69]
  Compare -4 and -96
  Swap -4 and -96
  List after swap: [-99, -11, -75, -96, -4, 69]

Pass 3:
  Compare -99 and -11
  No swap needed
  Compare -11 and -75
  Swap -11 and -75
  List after swap: [-99, -75, -11, -96, -4, 69]
  Compare -11 and -96
  Swap -11 and -96
  List after swap: [-99, -75, -96, -11, -4, 69]

Pass 4:
  Compare -99 and -75
  No swap needed
  Compare -75 and -96
  Swap -75 and -96
  List after swap: [-99, -96, -75, -11, -4, 69]

Pass 5:
  Compare -99 and -96
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -96, -75, -11, -4, 69]
</think>

<response>-99, -96, -75, -11, -4, 69</response>


input: Sort these integers 46, 94, -24, -16, -53, 18, 65, 91, 92 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [46, 94, -24, -16, -53, 18, 65, 91, 92]

Pass 1:
  Compare 46 and 94
  No swap needed
  Compare 94 and -24
  Swap 94 and -24
  List after swap: [46, -24, 94, -16, -53, 18, 65, 91, 92]
  Compare 94 and -16
  Swap 94 and -16
  List after swap: [46, -24, -16, 94, -53, 18, 65, 91, 92]
  Compare 94 and -53
  Swap 94 and -53
  List after swap: [46, -24, -16, -53, 94, 18, 65, 91, 92]
  Compare 94 and 18
  Swap 94 and 18
  List after swap: [46, -24, -16, -53, 18, 94, 65, 91, 92]
  Compare 94 and 65
  Swap 94 and 65
  List after swap: [46, -24, -16, -53, 18, 65, 94, 91, 92]
  Compare 94 and 91
  Swap 94 and 91
  List after swap: [46, -24, -16, -53, 18, 65, 91, 94, 92]
  Compare 94 and 92
  Swap 94 and 92
  List after swap: [46, -24, -16, -53, 18, 65, 91, 92, 94]

Pass 2:
  Compare 46 and -24
  Swap 46 and -24
  List after swap: [-24, 46, -16, -53, 18, 65, 91, 92, 94]
  Compare 46 and -16
  Swap 46 and -16
  List after swap: [-24, -16, 46, -53, 18, 65, 91, 92, 94]
  Compare 46 and -53
  Swap 46 and -53
  List after swap: [-24, -16, -53, 46, 18, 65, 91, 92, 94]
  Compare 46 and 18
  Swap 46 and 18
  List after swap: [-24, -16, -53, 18, 46, 65, 91, 92, 94]
  Compare 46 and 65
  No swap needed
  Compare 65 and 91
  No swap needed
  Compare 91 and 92
  No swap needed

Pass 3:
  Compare -24 and -16
  No swap needed
  Compare -16 and -53
  Swap -16 and -53
  List after swap: [-24, -53, -16, 18, 46, 65, 91, 92, 94]
  Compare -16 and 18
  No swap needed
  Compare 18 and 46
  No swap needed
  Compare 46 and 65
  No swap needed
  Compare 65 and 91
  No swap needed

Pass 4:
  Compare -24 and -53
  Swap -24 and -53
  List after swap: [-53, -24, -16, 18, 46, 65, 91, 92, 94]
  Compare -24 and -16
  No swap needed
  Compare -16 and 18
  No swap needed
  Compare 18 and 46
  No swap needed
  Compare 46 and 65
  No swap needed

Pass 5:
  Compare -53 and -24
  No swap needed
  Compare -24 and -16
  No swap needed
  Compare -16 and 18
  No swap needed
  Compare 18 and 46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-53, -24, -16, 18, 46, 65, 91, 92, 94]
</think>

<response>-53, -24, -16, 18, 46, 65, 91, 92, 94</response>


input: Perform a bubble sort on the integers -19, -90, -43, -7, 59, 0, -45, 1, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-19, -90, -43, -7, 59, 0, -45, 1]

Pass 1:
  Compare -19 and -90
  Swap -19 and -90
  List after swap: [-90, -19, -43, -7, 59, 0, -45, 1]
  Compare -19 and -43
  Swap -19 and -43
  List after swap: [-90, -43, -19, -7, 59, 0, -45, 1]
  Compare -19 and -7
  No swap needed
  Compare -7 and 59
  No swap needed
  Compare 59 and 0
  Swap 59 and 0
  List after swap: [-90, -43, -19, -7, 0, 59, -45, 1]
  Compare 59 and -45
  Swap 59 and -45
  List after swap: [-90, -43, -19, -7, 0, -45, 59, 1]
  Compare 59 and 1
  Swap 59 and 1
  List after swap: [-90, -43, -19, -7, 0, -45, 1, 59]

Pass 2:
  Compare -90 and -43
  No swap needed
  Compare -43 and -19
  No swap needed
  Compare -19 and -7
  No swap needed
  Compare -7 and 0
  No swap needed
  Compare 0 and -45
  Swap 0 and -45
  List after swap: [-90, -43, -19, -7, -45, 0, 1, 59]
  Compare 0 and 1
  No swap needed

Pass 3:
  Compare -90 and -43
  No swap needed
  Compare -43 and -19
  No swap needed
  Compare -19 and -7
  No swap needed
  Compare -7 and -45
  Swap -7 and -45
  List after swap: [-90, -43, -19, -45, -7, 0, 1, 59]
  Compare -7 and 0
  No swap needed

Pass 4:
  Compare -90 and -43
  No swap needed
  Compare -43 and -19
  No swap needed
  Compare -19 and -45
  Swap -19 and -45
  List after swap: [-90, -43, -45, -19, -7, 0, 1, 59]
  Compare -19 and -7
  No swap needed

Pass 5:
  Compare -90 and -43
  No swap needed
  Compare -43 and -45
  Swap -43 and -45
  List after swap: [-90, -45, -43, -19, -7, 0, 1, 59]
  Compare -43 and -19
  No swap needed

Pass 6:
  Compare -90 and -45
  No swap needed
  Compare -45 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -45, -43, -19, -7, 0, 1, 59]
</think>

<response>-90, -45, -43, -19, -7, 0, 1, 59</response>


input: Sort the list -4, 37, 45, -5, 0, 44, -24, 17 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-4, 37, 45, -5, 0, 44, -24, 17]

Pass 1:
  Compare -4 and 37
  No swap needed
  Compare 37 and 45
  No swap needed
  Compare 45 and -5
  Swap 45 and -5
  List after swap: [-4, 37, -5, 45, 0, 44, -24, 17]
  Compare 45 and 0
  Swap 45 and 0
  List after swap: [-4, 37, -5, 0, 45, 44, -24, 17]
  Compare 45 and 44
  Swap 45 and 44
  List after swap: [-4, 37, -5, 0, 44, 45, -24, 17]
  Compare 45 and -24
  Swap 45 and -24
  List after swap: [-4, 37, -5, 0, 44, -24, 45, 17]
  Compare 45 and 17
  Swap 45 and 17
  List after swap: [-4, 37, -5, 0, 44, -24, 17, 45]

Pass 2:
  Compare -4 and 37
  No swap needed
  Compare 37 and -5
  Swap 37 and -5
  List after swap: [-4, -5, 37, 0, 44, -24, 17, 45]
  Compare 37 and 0
  Swap 37 and 0
  List after swap: [-4, -5, 0, 37, 44, -24, 17, 45]
  Compare 37 and 44
  No swap needed
  Compare 44 and -24
  Swap 44 and -24
  List after swap: [-4, -5, 0, 37, -24, 44, 17, 45]
  Compare 44 and 17
  Swap 44 and 17
  List after swap: [-4, -5, 0, 37, -24, 17, 44, 45]

Pass 3:
  Compare -4 and -5
  Swap -4 and -5
  List after swap: [-5, -4, 0, 37, -24, 17, 44, 45]
  Compare -4 and 0
  No swap needed
  Compare 0 and 37
  No swap needed
  Compare 37 and -24
  Swap 37 and -24
  List after swap: [-5, -4, 0, -24, 37, 17, 44, 45]
  Compare 37 and 17
  Swap 37 and 17
  List after swap: [-5, -4, 0, -24, 17, 37, 44, 45]

Pass 4:
  Compare -5 and -4
  No swap needed
  Compare -4 and 0
  No swap needed
  Compare 0 and -24
  Swap 0 and -24
  List after swap: [-5, -4, -24, 0, 17, 37, 44, 45]
  Compare 0 and 17
  No swap needed

Pass 5:
  Compare -5 and -4
  No swap needed
  Compare -4 and -24
  Swap -4 and -24
  List after swap: [-5, -24, -4, 0, 17, 37, 44, 45]
  Compare -4 and 0
  No swap needed

Pass 6:
  Compare -5 and -24
  Swap -5 and -24
  List after swap: [-24, -5, -4, 0, 17, 37, 44, 45]
  Compare -5 and -4
  No swap needed

Pass 7:
  Compare -24 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-24, -5, -4, 0, 17, 37, 44, 45]
</think>

<response>-24, -5, -4, 0, 17, 37, 44, 45</response>


input: Perform a bubble sort on the integers -39, -70, -69, -56, 55, 96, 60, -77, 52, 47, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-39, -70, -69, -56, 55, 96, 60, -77, 52, 47]

Pass 1:
  Compare -39 and -70
  Swap -39 and -70
  List after swap: [-70, -39, -69, -56, 55, 96, 60, -77, 52, 47]
  Compare -39 and -69
  Swap -39 and -69
  List after swap: [-70, -69, -39, -56, 55, 96, 60, -77, 52, 47]
  Compare -39 and -56
  Swap -39 and -56
  List after swap: [-70, -69, -56, -39, 55, 96, 60, -77, 52, 47]
  Compare -39 and 55
  No swap needed
  Compare 55 and 96
  No swap needed
  Compare 96 and 60
  Swap 96 and 60
  List after swap: [-70, -69, -56, -39, 55, 60, 96, -77, 52, 47]
  Compare 96 and -77
  Swap 96 and -77
  List after swap: [-70, -69, -56, -39, 55, 60, -77, 96, 52, 47]
  Compare 96 and 52
  Swap 96 and 52
  List after swap: [-70, -69, -56, -39, 55, 60, -77, 52, 96, 47]
  Compare 96 and 47
  Swap 96 and 47
  List after swap: [-70, -69, -56, -39, 55, 60, -77, 52, 47, 96]

Pass 2:
  Compare -70 and -69
  No swap needed
  Compare -69 and -56
  No swap needed
  Compare -56 and -39
  No swap needed
  Compare -39 and 55
  No swap needed
  Compare 55 and 60
  No swap needed
  Compare 60 and -77
  Swap 60 and -77
  List after swap: [-70, -69, -56, -39, 55, -77, 60, 52, 47, 96]
  Compare 60 and 52
  Swap 60 and 52
  List after swap: [-70, -69, -56, -39, 55, -77, 52, 60, 47, 96]
  Compare 60 and 47
  Swap 60 and 47
  List after swap: [-70, -69, -56, -39, 55, -77, 52, 47, 60, 96]

Pass 3:
  Compare -70 and -69
  No swap needed
  Compare -69 and -56
  No swap needed
  Compare -56 and -39
  No swap needed
  Compare -39 and 55
  No swap needed
  Compare 55 and -77
  Swap 55 and -77
  List after swap: [-70, -69, -56, -39, -77, 55, 52, 47, 60, 96]
  Compare 55 and 52
  Swap 55 and 52
  List after swap: [-70, -69, -56, -39, -77, 52, 55, 47, 60, 96]
  Compare 55 and 47
  Swap 55 and 47
  List after swap: [-70, -69, -56, -39, -77, 52, 47, 55, 60, 96]

Pass 4:
  Compare -70 and -69
  No swap needed
  Compare -69 and -56
  No swap needed
  Compare -56 and -39
  No swap needed
  Compare -39 and -77
  Swap -39 and -77
  List after swap: [-70, -69, -56, -77, -39, 52, 47, 55, 60, 96]
  Compare -39 and 52
  No swap needed
  Compare 52 and 47
  Swap 52 and 47
  List after swap: [-70, -69, -56, -77, -39, 47, 52, 55, 60, 96]

Pass 5:
  Compare -70 and -69
  No swap needed
  Compare -69 and -56
  No swap needed
  Compare -56 and -77
  Swap -56 and -77
  List after swap: [-70, -69, -77, -56, -39, 47, 52, 55, 60, 96]
  Compare -56 and -39
  No swap needed
  Compare -39 and 47
  No swap needed

Pass 6:
  Compare -70 and -69
  No swap needed
  Compare -69 and -77
  Swap -69 and -77
  List after swap: [-70, -77, -69, -56, -39, 47, 52, 55, 60, 96]
  Compare -69 and -56
  No swap needed
  Compare -56 and -39
  No swap needed

Pass 7:
  Compare -70 and -77
  Swap -70 and -77
  List after swap: [-77, -70, -69, -56, -39, 47, 52, 55, 60, 96]
  Compare -70 and -69
  No swap needed
  Compare -69 and -56
  No swap needed

Pass 8:
  Compare -77 and -70
  No swap needed
  Compare -70 and -69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -70, -69, -56, -39, 47, 52, 55, 60, 96]
</think>

<response>-77, -70, -69, -56, -39, 47, 52, 55, 60, 96</response>


input: Carry out the bubble sort algorithm on 42, -69, -80, -50, 91, -47, -75, -52 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [42, -69, -80, -50, 91, -47, -75, -52]

Pass 1:
  Compare 42 and -69
  Swap 42 and -69
  List after swap: [-69, 42, -80, -50, 91, -47, -75, -52]
  Compare 42 and -80
  Swap 42 and -80
  List after swap: [-69, -80, 42, -50, 91, -47, -75, -52]
  Compare 42 and -50
  Swap 42 and -50
  List after swap: [-69, -80, -50, 42, 91, -47, -75, -52]
  Compare 42 and 91
  No swap needed
  Compare 91 and -47
  Swap 91 and -47
  List after swap: [-69, -80, -50, 42, -47, 91, -75, -52]
  Compare 91 and -75
  Swap 91 and -75
  List after swap: [-69, -80, -50, 42, -47, -75, 91, -52]
  Compare 91 and -52
  Swap 91 and -52
  List after swap: [-69, -80, -50, 42, -47, -75, -52, 91]

Pass 2:
  Compare -69 and -80
  Swap -69 and -80
  List after swap: [-80, -69, -50, 42, -47, -75, -52, 91]
  Compare -69 and -50
  No swap needed
  Compare -50 and 42
  No swap needed
  Compare 42 and -47
  Swap 42 and -47
  List after swap: [-80, -69, -50, -47, 42, -75, -52, 91]
  Compare 42 and -75
  Swap 42 and -75
  List after swap: [-80, -69, -50, -47, -75, 42, -52, 91]
  Compare 42 and -52
  Swap 42 and -52
  List after swap: [-80, -69, -50, -47, -75, -52, 42, 91]

Pass 3:
  Compare -80 and -69
  No swap needed
  Compare -69 and -50
  No swap needed
  Compare -50 and -47
  No swap needed
  Compare -47 and -75
  Swap -47 and -75
  List after swap: [-80, -69, -50, -75, -47, -52, 42, 91]
  Compare -47 and -52
  Swap -47 and -52
  List after swap: [-80, -69, -50, -75, -52, -47, 42, 91]

Pass 4:
  Compare -80 and -69
  No swap needed
  Compare -69 and -50
  No swap needed
  Compare -50 and -75
  Swap -50 and -75
  List after swap: [-80, -69, -75, -50, -52, -47, 42, 91]
  Compare -50 and -52
  Swap -50 and -52
  List after swap: [-80, -69, -75, -52, -50, -47, 42, 91]

Pass 5:
  Compare -80 and -69
  No swap needed
  Compare -69 and -75
  Swap -69 and -75
  List after swap: [-80, -75, -69, -52, -50, -47, 42, 91]
  Compare -69 and -52
  No swap needed

Pass 6:
  Compare -80 and -75
  No swap needed
  Compare -75 and -69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -75, -69, -52, -50, -47, 42, 91]
</think>

<response>-80, -75, -69, -52, -50, -47, 42, 91</response>


input: Sort these integers -77, 26, -48, -29, -16, -35, -57, 21, 87 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-77, 26, -48, -29, -16, -35, -57, 21, 87]

Pass 1:
  Compare -77 and 26
  No swap needed
  Compare 26 and -48
  Swap 26 and -48
  List after swap: [-77, -48, 26, -29, -16, -35, -57, 21, 87]
  Compare 26 and -29
  Swap 26 and -29
  List after swap: [-77, -48, -29, 26, -16, -35, -57, 21, 87]
  Compare 26 and -16
  Swap 26 and -16
  List after swap: [-77, -48, -29, -16, 26, -35, -57, 21, 87]
  Compare 26 and -35
  Swap 26 and -35
  List after swap: [-77, -48, -29, -16, -35, 26, -57, 21, 87]
  Compare 26 and -57
  Swap 26 and -57
  List after swap: [-77, -48, -29, -16, -35, -57, 26, 21, 87]
  Compare 26 and 21
  Swap 26 and 21
  List after swap: [-77, -48, -29, -16, -35, -57, 21, 26, 87]
  Compare 26 and 87
  No swap needed

Pass 2:
  Compare -77 and -48
  No swap needed
  Compare -48 and -29
  No swap needed
  Compare -29 and -16
  No swap needed
  Compare -16 and -35
  Swap -16 and -35
  List after swap: [-77, -48, -29, -35, -16, -57, 21, 26, 87]
  Compare -16 and -57
  Swap -16 and -57
  List after swap: [-77, -48, -29, -35, -57, -16, 21, 26, 87]
  Compare -16 and 21
  No swap needed
  Compare 21 and 26
  No swap needed

Pass 3:
  Compare -77 and -48
  No swap needed
  Compare -48 and -29
  No swap needed
  Compare -29 and -35
  Swap -29 and -35
  List after swap: [-77, -48, -35, -29, -57, -16, 21, 26, 87]
  Compare -29 and -57
  Swap -29 and -57
  List after swap: [-77, -48, -35, -57, -29, -16, 21, 26, 87]
  Compare -29 and -16
  No swap needed
  Compare -16 and 21
  No swap needed

Pass 4:
  Compare -77 and -48
  No swap needed
  Compare -48 and -35
  No swap needed
  Compare -35 and -57
  Swap -35 and -57
  List after swap: [-77, -48, -57, -35, -29, -16, 21, 26, 87]
  Compare -35 and -29
  No swap needed
  Compare -29 and -16
  No swap needed

Pass 5:
  Compare -77 and -48
  No swap needed
  Compare -48 and -57
  Swap -48 and -57
  List after swap: [-77, -57, -48, -35, -29, -16, 21, 26, 87]
  Compare -48 and -35
  No swap needed
  Compare -35 and -29
  No swap needed

Pass 6:
  Compare -77 and -57
  No swap needed
  Compare -57 and -48
  No swap needed
  Compare -48 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -57, -48, -35, -29, -16, 21, 26, 87]
</think>

<response>-77, -57, -48, -35, -29, -16, 21, 26, 87</response>


input: Execute bubble sort to sort -90, -100, 72, 37, 64 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-90, -100, 72, 37, 64]

Pass 1:
  Compare -90 and -100
  Swap -90 and -100
  List after swap: [-100, -90, 72, 37, 64]
  Compare -90 and 72
  No swap needed
  Compare 72 and 37
  Swap 72 and 37
  List after swap: [-100, -90, 37, 72, 64]
  Compare 72 and 64
  Swap 72 and 64
  List after swap: [-100, -90, 37, 64, 72]

Pass 2:
  Compare -100 and -90
  No swap needed
  Compare -90 and 37
  No swap needed
  Compare 37 and 64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -90, 37, 64, 72]
</think>

<response>-100, -90, 37, 64, 72</response>


input: Implement bubble sort on -25, 73, 47 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-25, 73, 47]

Pass 1:
  Compare -25 and 73
  No swap needed
  Compare 73 and 47
  Swap 73 and 47
  List after swap: [-25, 47, 73]

Pass 2:
  Compare -25 and 47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-25, 47, 73]
</think>

<response>-25, 47, 73</response>


input: Perform a bubble sort on the integers -28, -61, 28, 52, -55, 7, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-28, -61, 28, 52, -55, 7]

Pass 1:
  Compare -28 and -61
  Swap -28 and -61
  List after swap: [-61, -28, 28, 52, -55, 7]
  Compare -28 and 28
  No swap needed
  Compare 28 and 52
  No swap needed
  Compare 52 and -55
  Swap 52 and -55
  List after swap: [-61, -28, 28, -55, 52, 7]
  Compare 52 and 7
  Swap 52 and 7
  List after swap: [-61, -28, 28, -55, 7, 52]

Pass 2:
  Compare -61 and -28
  No swap needed
  Compare -28 and 28
  No swap needed
  Compare 28 and -55
  Swap 28 and -55
  List after swap: [-61, -28, -55, 28, 7, 52]
  Compare 28 and 7
  Swap 28 and 7
  List after swap: [-61, -28, -55, 7, 28, 52]

Pass 3:
  Compare -61 and -28
  No swap needed
  Compare -28 and -55
  Swap -28 and -55
  List after swap: [-61, -55, -28, 7, 28, 52]
  Compare -28 and 7
  No swap needed

Pass 4:
  Compare -61 and -55
  No swap needed
  Compare -55 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -55, -28, 7, 28, 52]
</think>

<response>-61, -55, -28, 7, 28, 52</response>


input: Implement bubble sort on -88, 82, -46, 37 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-88, 82, -46, 37]

Pass 1:
  Compare -88 and 82
  No swap needed
  Compare 82 and -46
  Swap 82 and -46
  List after swap: [-88, -46, 82, 37]
  Compare 82 and 37
  Swap 82 and 37
  List after swap: [-88, -46, 37, 82]

Pass 2:
  Compare -88 and -46
  No swap needed
  Compare -46 and 37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -46, 37, 82]
</think>

<response>-88, -46, 37, 82</response>


input: Sort these integers -51, -57, 95, -2, 88, -24 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-51, -57, 95, -2, 88, -24]

Pass 1:
  Compare -51 and -57
  Swap -51 and -57
  List after swap: [-57, -51, 95, -2, 88, -24]
  Compare -51 and 95
  No swap needed
  Compare 95 and -2
  Swap 95 and -2
  List after swap: [-57, -51, -2, 95, 88, -24]
  Compare 95 and 88
  Swap 95 and 88
  List after swap: [-57, -51, -2, 88, 95, -24]
  Compare 95 and -24
  Swap 95 and -24
  List after swap: [-57, -51, -2, 88, -24, 95]

Pass 2:
  Compare -57 and -51
  No swap needed
  Compare -51 and -2
  No swap needed
  Compare -2 and 88
  No swap needed
  Compare 88 and -24
  Swap 88 and -24
  List after swap: [-57, -51, -2, -24, 88, 95]

Pass 3:
  Compare -57 and -51
  No swap needed
  Compare -51 and -2
  No swap needed
  Compare -2 and -24
  Swap -2 and -24
  List after swap: [-57, -51, -24, -2, 88, 95]

Pass 4:
  Compare -57 and -51
  No swap needed
  Compare -51 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -51, -24, -2, 88, 95]
</think>

<response>-57, -51, -24, -2, 88, 95</response>


input: Sort the list -44, 86, 92, -92, 3, -51, -6 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-44, 86, 92, -92, 3, -51, -6]

Pass 1:
  Compare -44 and 86
  No swap needed
  Compare 86 and 92
  No swap needed
  Compare 92 and -92
  Swap 92 and -92
  List after swap: [-44, 86, -92, 92, 3, -51, -6]
  Compare 92 and 3
  Swap 92 and 3
  List after swap: [-44, 86, -92, 3, 92, -51, -6]
  Compare 92 and -51
  Swap 92 and -51
  List after swap: [-44, 86, -92, 3, -51, 92, -6]
  Compare 92 and -6
  Swap 92 and -6
  List after swap: [-44, 86, -92, 3, -51, -6, 92]

Pass 2:
  Compare -44 and 86
  No swap needed
  Compare 86 and -92
  Swap 86 and -92
  List after swap: [-44, -92, 86, 3, -51, -6, 92]
  Compare 86 and 3
  Swap 86 and 3
  List after swap: [-44, -92, 3, 86, -51, -6, 92]
  Compare 86 and -51
  Swap 86 and -51
  List after swap: [-44, -92, 3, -51, 86, -6, 92]
  Compare 86 and -6
  Swap 86 and -6
  List after swap: [-44, -92, 3, -51, -6, 86, 92]

Pass 3:
  Compare -44 and -92
  Swap -44 and -92
  List after swap: [-92, -44, 3, -51, -6, 86, 92]
  Compare -44 and 3
  No swap needed
  Compare 3 and -51
  Swap 3 and -51
  List after swap: [-92, -44, -51, 3, -6, 86, 92]
  Compare 3 and -6
  Swap 3 and -6
  List after swap: [-92, -44, -51, -6, 3, 86, 92]

Pass 4:
  Compare -92 and -44
  No swap needed
  Compare -44 and -51
  Swap -44 and -51
  List after swap: [-92, -51, -44, -6, 3, 86, 92]
  Compare -44 and -6
  No swap needed

Pass 5:
  Compare -92 and -51
  No swap needed
  Compare -51 and -44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -51, -44, -6, 3, 86, 92]
</think>

<response>-92, -51, -44, -6, 3, 86, 92</response>


input: Sort the list 26, 16, 92, -20 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [26, 16, 92, -20]

Pass 1:
  Compare 26 and 16
  Swap 26 and 16
  List after swap: [16, 26, 92, -20]
  Compare 26 and 92
  No swap needed
  Compare 92 and -20
  Swap 92 and -20
  List after swap: [16, 26, -20, 92]

Pass 2:
  Compare 16 and 26
  No swap needed
  Compare 26 and -20
  Swap 26 and -20
  List after swap: [16, -20, 26, 92]

Pass 3:
  Compare 16 and -20
  Swap 16 and -20
  List after swap: [-20, 16, 26, 92]

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

Final sorted list: [-20, 16, 26, 92]
</think>

<response>-20, 16, 26, 92</response>


input: Using the bubble sort method, sort -15, -74, 98, 59, -37, 14, -81, 68, -24, -100 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-15, -74, 98, 59, -37, 14, -81, 68, -24, -100]

Pass 1:
  Compare -15 and -74
  Swap -15 and -74
  List after swap: [-74, -15, 98, 59, -37, 14, -81, 68, -24, -100]
  Compare -15 and 98
  No swap needed
  Compare 98 and 59
  Swap 98 and 59
  List after swap: [-74, -15, 59, 98, -37, 14, -81, 68, -24, -100]
  Compare 98 and -37
  Swap 98 and -37
  List after swap: [-74, -15, 59, -37, 98, 14, -81, 68, -24, -100]
  Compare 98 and 14
  Swap 98 and 14
  List after swap: [-74, -15, 59, -37, 14, 98, -81, 68, -24, -100]
  Compare 98 and -81
  Swap 98 and -81
  List after swap: [-74, -15, 59, -37, 14, -81, 98, 68, -24, -100]
  Compare 98 and 68
  Swap 98 and 68
  List after swap: [-74, -15, 59, -37, 14, -81, 68, 98, -24, -100]
  Compare 98 and -24
  Swap 98 and -24
  List after swap: [-74, -15, 59, -37, 14, -81, 68, -24, 98, -100]
  Compare 98 and -100
  Swap 98 and -100
  List after swap: [-74, -15, 59, -37, 14, -81, 68, -24, -100, 98]

Pass 2:
  Compare -74 and -15
  No swap needed
  Compare -15 and 59
  No swap needed
  Compare 59 and -37
  Swap 59 and -37
  List after swap: [-74, -15, -37, 59, 14, -81, 68, -24, -100, 98]
  Compare 59 and 14
  Swap 59 and 14
  List after swap: [-74, -15, -37, 14, 59, -81, 68, -24, -100, 98]
  Compare 59 and -81
  Swap 59 and -81
  List after swap: [-74, -15, -37, 14, -81, 59, 68, -24, -100, 98]
  Compare 59 and 68
  No swap needed
  Compare 68 and -24
  Swap 68 and -24
  List after swap: [-74, -15, -37, 14, -81, 59, -24, 68, -100, 98]
  Compare 68 and -100
  Swap 68 and -100
  List after swap: [-74, -15, -37, 14, -81, 59, -24, -100, 68, 98]

Pass 3:
  Compare -74 and -15
  No swap needed
  Compare -15 and -37
  Swap -15 and -37
  List after swap: [-74, -37, -15, 14, -81, 59, -24, -100, 68, 98]
  Compare -15 and 14
  No swap needed
  Compare 14 and -81
  Swap 14 and -81
  List after swap: [-74, -37, -15, -81, 14, 59, -24, -100, 68, 98]
  Compare 14 and 59
  No swap needed
  Compare 59 and -24
  Swap 59 and -24
  List after swap: [-74, -37, -15, -81, 14, -24, 59, -100, 68, 98]
  Compare 59 and -100
  Swap 59 and -100
  List after swap: [-74, -37, -15, -81, 14, -24, -100, 59, 68, 98]

Pass 4:
  Compare -74 and -37
  No swap needed
  Compare -37 and -15
  No swap needed
  Compare -15 and -81
  Swap -15 and -81
  List after swap: [-74, -37, -81, -15, 14, -24, -100, 59, 68, 98]
  Compare -15 and 14
  No swap needed
  Compare 14 and -24
  Swap 14 and -24
  List after swap: [-74, -37, -81, -15, -24, 14, -100, 59, 68, 98]
  Compare 14 and -100
  Swap 14 and -100
  List after swap: [-74, -37, -81, -15, -24, -100, 14, 59, 68, 98]

Pass 5:
  Compare -74 and -37
  No swap needed
  Compare -37 and -81
  Swap -37 and -81
  List after swap: [-74, -81, -37, -15, -24, -100, 14, 59, 68, 98]
  Compare -37 and -15
  No swap needed
  Compare -15 and -24
  Swap -15 and -24
  List after swap: [-74, -81, -37, -24, -15, -100, 14, 59, 68, 98]
  Compare -15 and -100
  Swap -15 and -100
  List after swap: [-74, -81, -37, -24, -100, -15, 14, 59, 68, 98]

Pass 6:
  Compare -74 and -81
  Swap -74 and -81
  List after swap: [-81, -74, -37, -24, -100, -15, 14, 59, 68, 98]
  Compare -74 and -37
  No swap needed
  Compare -37 and -24
  No swap needed
  Compare -24 and -100
  Swap -24 and -100
  List after swap: [-81, -74, -37, -100, -24, -15, 14, 59, 68, 98]

Pass 7:
  Compare -81 and -74
  No swap needed
  Compare -74 and -37
  No swap needed
  Compare -37 and -100
  Swap -37 and -100
  List after swap: [-81, -74, -100, -37, -24, -15, 14, 59, 68, 98]

Pass 8:
  Compare -81 and -74
  No swap needed
  Compare -74 and -100
  Swap -74 and -100
  List after swap: [-81, -100, -74, -37, -24, -15, 14, 59, 68, 98]

Pass 9:
  Compare -81 and -100
  Swap -81 and -100
  List after swap: [-100, -81, -74, -37, -24, -15, 14, 59, 68, 98]

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

Final sorted list: [-100, -81, -74, -37, -24, -15, 14, 59, 68, 98]
</think>

<response>-100, -81, -74, -37, -24, -15, 14, 59, 68, 98</response>


input: Implement bubble sort on 17, -86, -66, -54, -74, 96, 76, 93 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [17, -86, -66, -54, -74, 96, 76, 93]

Pass 1:
  Compare 17 and -86
  Swap 17 and -86
  List after swap: [-86, 17, -66, -54, -74, 96, 76, 93]
  Compare 17 and -66
  Swap 17 and -66
  List after swap: [-86, -66, 17, -54, -74, 96, 76, 93]
  Compare 17 and -54
  Swap 17 and -54
  List after swap: [-86, -66, -54, 17, -74, 96, 76, 93]
  Compare 17 and -74
  Swap 17 and -74
  List after swap: [-86, -66, -54, -74, 17, 96, 76, 93]
  Compare 17 and 96
  No swap needed
  Compare 96 and 76
  Swap 96 and 76
  List after swap: [-86, -66, -54, -74, 17, 76, 96, 93]
  Compare 96 and 93
  Swap 96 and 93
  List after swap: [-86, -66, -54, -74, 17, 76, 93, 96]

Pass 2:
  Compare -86 and -66
  No swap needed
  Compare -66 and -54
  No swap needed
  Compare -54 and -74
  Swap -54 and -74
  List after swap: [-86, -66, -74, -54, 17, 76, 93, 96]
  Compare -54 and 17
  No swap needed
  Compare 17 and 76
  No swap needed
  Compare 76 and 93
  No swap needed

Pass 3:
  Compare -86 and -66
  No swap needed
  Compare -66 and -74
  Swap -66 and -74
  List after swap: [-86, -74, -66, -54, 17, 76, 93, 96]
  Compare -66 and -54
  No swap needed
  Compare -54 and 17
  No swap needed
  Compare 17 and 76
  No swap needed

Pass 4:
  Compare -86 and -74
  No swap needed
  Compare -74 and -66
  No swap needed
  Compare -66 and -54
  No swap needed
  Compare -54 and 17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -74, -66, -54, 17, 76, 93, 96]
</think>

<response>-86, -74, -66, -54, 17, 76, 93, 96</response>


input: Use the bubble sort technique to reorder 28, -27, -70, 3, 15, -33, 86, 46, -85 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [28, -27, -70, 3, 15, -33, 86, 46, -85]

Pass 1:
  Compare 28 and -27
  Swap 28 and -27
  List after swap: [-27, 28, -70, 3, 15, -33, 86, 46, -85]
  Compare 28 and -70
  Swap 28 and -70
  List after swap: [-27, -70, 28, 3, 15, -33, 86, 46, -85]
  Compare 28 and 3
  Swap 28 and 3
  List after swap: [-27, -70, 3, 28, 15, -33, 86, 46, -85]
  Compare 28 and 15
  Swap 28 and 15
  List after swap: [-27, -70, 3, 15, 28, -33, 86, 46, -85]
  Compare 28 and -33
  Swap 28 and -33
  List after swap: [-27, -70, 3, 15, -33, 28, 86, 46, -85]
  Compare 28 and 86
  No swap needed
  Compare 86 and 46
  Swap 86 and 46
  List after swap: [-27, -70, 3, 15, -33, 28, 46, 86, -85]
  Compare 86 and -85
  Swap 86 and -85
  List after swap: [-27, -70, 3, 15, -33, 28, 46, -85, 86]

Pass 2:
  Compare -27 and -70
  Swap -27 and -70
  List after swap: [-70, -27, 3, 15, -33, 28, 46, -85, 86]
  Compare -27 and 3
  No swap needed
  Compare 3 and 15
  No swap needed
  Compare 15 and -33
  Swap 15 and -33
  List after swap: [-70, -27, 3, -33, 15, 28, 46, -85, 86]
  Compare 15 and 28
  No swap needed
  Compare 28 and 46
  No swap needed
  Compare 46 and -85
  Swap 46 and -85
  List after swap: [-70, -27, 3, -33, 15, 28, -85, 46, 86]

Pass 3:
  Compare -70 and -27
  No swap needed
  Compare -27 and 3
  No swap needed
  Compare 3 and -33
  Swap 3 and -33
  List after swap: [-70, -27, -33, 3, 15, 28, -85, 46, 86]
  Compare 3 and 15
  No swap needed
  Compare 15 and 28
  No swap needed
  Compare 28 and -85
  Swap 28 and -85
  List after swap: [-70, -27, -33, 3, 15, -85, 28, 46, 86]

Pass 4:
  Compare -70 and -27
  No swap needed
  Compare -27 and -33
  Swap -27 and -33
  List after swap: [-70, -33, -27, 3, 15, -85, 28, 46, 86]
  Compare -27 and 3
  No swap needed
  Compare 3 and 15
  No swap needed
  Compare 15 and -85
  Swap 15 and -85
  List after swap: [-70, -33, -27, 3, -85, 15, 28, 46, 86]

Pass 5:
  Compare -70 and -33
  No swap needed
  Compare -33 and -27
  No swap needed
  Compare -27 and 3
  No swap needed
  Compare 3 and -85
  Swap 3 and -85
  List after swap: [-70, -33, -27, -85, 3, 15, 28, 46, 86]

Pass 6:
  Compare -70 and -33
  No swap needed
  Compare -33 and -27
  No swap needed
  Compare -27 and -85
  Swap -27 and -85
  List after swap: [-70, -33, -85, -27, 3, 15, 28, 46, 86]

Pass 7:
  Compare -70 and -33
  No swap needed
  Compare -33 and -85
  Swap -33 and -85
  List after swap: [-70, -85, -33, -27, 3, 15, 28, 46, 86]

Pass 8:
  Compare -70 and -85
  Swap -70 and -85
  List after swap: [-85, -70, -33, -27, 3, 15, 28, 46, 86]

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

Final sorted list: [-85, -70, -33, -27, 3, 15, 28, 46, 86]
</think>

<response>-85, -70, -33, -27, 3, 15, 28, 46, 86</response>


input: Sort these integers 93, 74, 12, -15, 30, -75 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [93, 74, 12, -15, 30, -75]

Pass 1:
  Compare 93 and 74
  Swap 93 and 74
  List after swap: [74, 93, 12, -15, 30, -75]
  Compare 93 and 12
  Swap 93 and 12
  List after swap: [74, 12, 93, -15, 30, -75]
  Compare 93 and -15
  Swap 93 and -15
  List after swap: [74, 12, -15, 93, 30, -75]
  Compare 93 and 30
  Swap 93 and 30
  List after swap: [74, 12, -15, 30, 93, -75]
  Compare 93 and -75
  Swap 93 and -75
  List after swap: [74, 12, -15, 30, -75, 93]

Pass 2:
  Compare 74 and 12
  Swap 74 and 12
  List after swap: [12, 74, -15, 30, -75, 93]
  Compare 74 and -15
  Swap 74 and -15
  List after swap: [12, -15, 74, 30, -75, 93]
  Compare 74 and 30
  Swap 74 and 30
  List after swap: [12, -15, 30, 74, -75, 93]
  Compare 74 and -75
  Swap 74 and -75
  List after swap: [12, -15, 30, -75, 74, 93]

Pass 3:
  Compare 12 and -15
  Swap 12 and -15
  List after swap: [-15, 12, 30, -75, 74, 93]
  Compare 12 and 30
  No swap needed
  Compare 30 and -75
  Swap 30 and -75
  List after swap: [-15, 12, -75, 30, 74, 93]

Pass 4:
  Compare -15 and 12
  No swap needed
  Compare 12 and -75
  Swap 12 and -75
  List after swap: [-15, -75, 12, 30, 74, 93]

Pass 5:
  Compare -15 and -75
  Swap -15 and -75
  List after swap: [-75, -15, 12, 30, 74, 93]

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

Final sorted list: [-75, -15, 12, 30, 74, 93]
</think>

<response>-75, -15, 12, 30, 74, 93</response>


input: Demonstrate how bubble sort orders the integers 9, -92, -23, -84 in ascending sequence, showing all steps.

output:
<think>
Initial list: [9, -92, -23, -84]

Pass 1:
  Compare 9 and -92
  Swap 9 and -92
  List after swap: [-92, 9, -23, -84]
  Compare 9 and -23
  Swap 9 and -23
  List after swap: [-92, -23, 9, -84]
  Compare 9 and -84
  Swap 9 and -84
  List after swap: [-92, -23, -84, 9]

Pass 2:
  Compare -92 and -23
  No swap needed
  Compare -23 and -84
  Swap -23 and -84
  List after swap: [-92, -84, -23, 9]

Pass 3:
  Compare -92 and -84
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -84, -23, 9]
</think>

<response>-92, -84, -23, 9</response>


input: Use the bubble sort technique to reorder -38, 97 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-38, 97]

Pass 1:
  Compare -38 and 97
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-38, 97]
</think>

<response>-38, 97</response>


input: Sort the list -79, 76, -82, -100, 19 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-79, 76, -82, -100, 19]

Pass 1:
  Compare -79 and 76
  No swap needed
  Compare 76 and -82
  Swap 76 and -82
  List after swap: [-79, -82, 76, -100, 19]
  Compare 76 and -100
  Swap 76 and -100
  List after swap: [-79, -82, -100, 76, 19]
  Compare 76 and 19
  Swap 76 and 19
  List after swap: [-79, -82, -100, 19, 76]

Pass 2:
  Compare -79 and -82
  Swap -79 and -82
  List after swap: [-82, -79, -100, 19, 76]
  Compare -79 and -100
  Swap -79 and -100
  List after swap: [-82, -100, -79, 19, 76]
  Compare -79 and 19
  No swap needed

Pass 3:
  Compare -82 and -100
  Swap -82 and -100
  List after swap: [-100, -82, -79, 19, 76]
  Compare -82 and -79
  No swap needed

Pass 4:
  Compare -100 and -82
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -82, -79, 19, 76]
</think>

<response>-100, -82, -79, 19, 76</response>


input: Execute bubble sort to sort 72, -55, 18, -96, -32, 57, 9 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [72, -55, 18, -96, -32, 57, 9]

Pass 1:
  Compare 72 and -55
  Swap 72 and -55
  List after swap: [-55, 72, 18, -96, -32, 57, 9]
  Compare 72 and 18
  Swap 72 and 18
  List after swap: [-55, 18, 72, -96, -32, 57, 9]
  Compare 72 and -96
  Swap 72 and -96
  List after swap: [-55, 18, -96, 72, -32, 57, 9]
  Compare 72 and -32
  Swap 72 and -32
  List after swap: [-55, 18, -96, -32, 72, 57, 9]
  Compare 72 and 57
  Swap 72 and 57
  List after swap: [-55, 18, -96, -32, 57, 72, 9]
  Compare 72 and 9
  Swap 72 and 9
  List after swap: [-55, 18, -96, -32, 57, 9, 72]

Pass 2:
  Compare -55 and 18
  No swap needed
  Compare 18 and -96
  Swap 18 and -96
  List after swap: [-55, -96, 18, -32, 57, 9, 72]
  Compare 18 and -32
  Swap 18 and -32
  List after swap: [-55, -96, -32, 18, 57, 9, 72]
  Compare 18 and 57
  No swap needed
  Compare 57 and 9
  Swap 57 and 9
  List after swap: [-55, -96, -32, 18, 9, 57, 72]

Pass 3:
  Compare -55 and -96
  Swap -55 and -96
  List after swap: [-96, -55, -32, 18, 9, 57, 72]
  Compare -55 and -32
  No swap needed
  Compare -32 and 18
  No swap needed
  Compare 18 and 9
  Swap 18 and 9
  List after swap: [-96, -55, -32, 9, 18, 57, 72]

Pass 4:
  Compare -96 and -55
  No swap needed
  Compare -55 and -32
  No swap needed
  Compare -32 and 9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -55, -32, 9, 18, 57, 72]
</think>

<response>-96, -55, -32, 9, 18, 57, 72</response>


input: Sort these integers 81, -8, -27, 72 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [81, -8, -27, 72]

Pass 1:
  Compare 81 and -8
  Swap 81 and -8
  List after swap: [-8, 81, -27, 72]
  Compare 81 and -27
  Swap 81 and -27
  List after swap: [-8, -27, 81, 72]
  Compare 81 and 72
  Swap 81 and 72
  List after swap: [-8, -27, 72, 81]

Pass 2:
  Compare -8 and -27
  Swap -8 and -27
  List after swap: [-27, -8, 72, 81]
  Compare -8 and 72
  No swap needed

Pass 3:
  Compare -27 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-27, -8, 72, 81]
</think>

<response>-27, -8, 72, 81</response>


input: Using the bubble sort method, sort -87, -29, -9, 89, 73, 66, 12, -95, 50, -64 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-87, -29, -9, 89, 73, 66, 12, -95, 50, -64]

Pass 1:
  Compare -87 and -29
  No swap needed
  Compare -29 and -9
  No swap needed
  Compare -9 and 89
  No swap needed
  Compare 89 and 73
  Swap 89 and 73
  List after swap: [-87, -29, -9, 73, 89, 66, 12, -95, 50, -64]
  Compare 89 and 66
  Swap 89 and 66
  List after swap: [-87, -29, -9, 73, 66, 89, 12, -95, 50, -64]
  Compare 89 and 12
  Swap 89 and 12
  List after swap: [-87, -29, -9, 73, 66, 12, 89, -95, 50, -64]
  Compare 89 and -95
  Swap 89 and -95
  List after swap: [-87, -29, -9, 73, 66, 12, -95, 89, 50, -64]
  Compare 89 and 50
  Swap 89 and 50
  List after swap: [-87, -29, -9, 73, 66, 12, -95, 50, 89, -64]
  Compare 89 and -64
  Swap 89 and -64
  List after swap: [-87, -29, -9, 73, 66, 12, -95, 50, -64, 89]

Pass 2:
  Compare -87 and -29
  No swap needed
  Compare -29 and -9
  No swap needed
  Compare -9 and 73
  No swap needed
  Compare 73 and 66
  Swap 73 and 66
  List after swap: [-87, -29, -9, 66, 73, 12, -95, 50, -64, 89]
  Compare 73 and 12
  Swap 73 and 12
  List after swap: [-87, -29, -9, 66, 12, 73, -95, 50, -64, 89]
  Compare 73 and -95
  Swap 73 and -95
  List after swap: [-87, -29, -9, 66, 12, -95, 73, 50, -64, 89]
  Compare 73 and 50
  Swap 73 and 50
  List after swap: [-87, -29, -9, 66, 12, -95, 50, 73, -64, 89]
  Compare 73 and -64
  Swap 73 and -64
  List after swap: [-87, -29, -9, 66, 12, -95, 50, -64, 73, 89]

Pass 3:
  Compare -87 and -29
  No swap needed
  Compare -29 and -9
  No swap needed
  Compare -9 and 66
  No swap needed
  Compare 66 and 12
  Swap 66 and 12
  List after swap: [-87, -29, -9, 12, 66, -95, 50, -64, 73, 89]
  Compare 66 and -95
  Swap 66 and -95
  List after swap: [-87, -29, -9, 12, -95, 66, 50, -64, 73, 89]
  Compare 66 and 50
  Swap 66 and 50
  List after swap: [-87, -29, -9, 12, -95, 50, 66, -64, 73, 89]
  Compare 66 and -64
  Swap 66 and -64
  List after swap: [-87, -29, -9, 12, -95, 50, -64, 66, 73, 89]

Pass 4:
  Compare -87 and -29
  No swap needed
  Compare -29 and -9
  No swap needed
  Compare -9 and 12
  No swap needed
  Compare 12 and -95
  Swap 12 and -95
  List after swap: [-87, -29, -9, -95, 12, 50, -64, 66, 73, 89]
  Compare 12 and 50
  No swap needed
  Compare 50 and -64
  Swap 50 and -64
  List after swap: [-87, -29, -9, -95, 12, -64, 50, 66, 73, 89]

Pass 5:
  Compare -87 and -29
  No swap needed
  Compare -29 and -9
  No swap needed
  Compare -9 and -95
  Swap -9 and -95
  List after swap: [-87, -29, -95, -9, 12, -64, 50, 66, 73, 89]
  Compare -9 and 12
  No swap needed
  Compare 12 and -64
  Swap 12 and -64
  List after swap: [-87, -29, -95, -9, -64, 12, 50, 66, 73, 89]

Pass 6:
  Compare -87 and -29
  No swap needed
  Compare -29 and -95
  Swap -29 and -95
  List after swap: [-87, -95, -29, -9, -64, 12, 50, 66, 73, 89]
  Compare -29 and -9
  No swap needed
  Compare -9 and -64
  Swap -9 and -64
  List after swap: [-87, -95, -29, -64, -9, 12, 50, 66, 73, 89]

Pass 7:
  Compare -87 and -95
  Swap -87 and -95
  List after swap: [-95, -87, -29, -64, -9, 12, 50, 66, 73, 89]
  Compare -87 and -29
  No swap needed
  Compare -29 and -64
  Swap -29 and -64
  List after swap: [-95, -87, -64, -29, -9, 12, 50, 66, 73, 89]

Pass 8:
  Compare -95 and -87
  No swap needed
  Compare -87 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -87, -64, -29, -9, 12, 50, 66, 73, 89]
</think>

<response>-95, -87, -64, -29, -9, 12, 50, 66, 73, 89</response>


input: Execute bubble sort to sort -55, 60, -33, 34, 86, -72, -5, 9 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-55, 60, -33, 34, 86, -72, -5, 9]

Pass 1:
  Compare -55 and 60
  No swap needed
  Compare 60 and -33
  Swap 60 and -33
  List after swap: [-55, -33, 60, 34, 86, -72, -5, 9]
  Compare 60 and 34
  Swap 60 and 34
  List after swap: [-55, -33, 34, 60, 86, -72, -5, 9]
  Compare 60 and 86
  No swap needed
  Compare 86 and -72
  Swap 86 and -72
  List after swap: [-55, -33, 34, 60, -72, 86, -5, 9]
  Compare 86 and -5
  Swap 86 and -5
  List after swap: [-55, -33, 34, 60, -72, -5, 86, 9]
  Compare 86 and 9
  Swap 86 and 9
  List after swap: [-55, -33, 34, 60, -72, -5, 9, 86]

Pass 2:
  Compare -55 and -33
  No swap needed
  Compare -33 and 34
  No swap needed
  Compare 34 and 60
  No swap needed
  Compare 60 and -72
  Swap 60 and -72
  List after swap: [-55, -33, 34, -72, 60, -5, 9, 86]
  Compare 60 and -5
  Swap 60 and -5
  List after swap: [-55, -33, 34, -72, -5, 60, 9, 86]
  Compare 60 and 9
  Swap 60 and 9
  List after swap: [-55, -33, 34, -72, -5, 9, 60, 86]

Pass 3:
  Compare -55 and -33
  No swap needed
  Compare -33 and 34
  No swap needed
  Compare 34 and -72
  Swap 34 and -72
  List after swap: [-55, -33, -72, 34, -5, 9, 60, 86]
  Compare 34 and -5
  Swap 34 and -5
  List after swap: [-55, -33, -72, -5, 34, 9, 60, 86]
  Compare 34 and 9
  Swap 34 and 9
  List after swap: [-55, -33, -72, -5, 9, 34, 60, 86]

Pass 4:
  Compare -55 and -33
  No swap needed
  Compare -33 and -72
  Swap -33 and -72
  List after swap: [-55, -72, -33, -5, 9, 34, 60, 86]
  Compare -33 and -5
  No swap needed
  Compare -5 and 9
  No swap needed

Pass 5:
  Compare -55 and -72
  Swap -55 and -72
  List after swap: [-72, -55, -33, -5, 9, 34, 60, 86]
  Compare -55 and -33
  No swap needed
  Compare -33 and -5
  No swap needed

Pass 6:
  Compare -72 and -55
  No swap needed
  Compare -55 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -55, -33, -5, 9, 34, 60, 86]
</think>

<response>-72, -55, -33, -5, 9, 34, 60, 86</response>


input: Using the bubble sort method, sort 60, 27, 49, -55, 59, -87 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [60, 27, 49, -55, 59, -87]

Pass 1:
  Compare 60 and 27
  Swap 60 and 27
  List after swap: [27, 60, 49, -55, 59, -87]
  Compare 60 and 49
  Swap 60 and 49
  List after swap: [27, 49, 60, -55, 59, -87]
  Compare 60 and -55
  Swap 60 and -55
  List after swap: [27, 49, -55, 60, 59, -87]
  Compare 60 and 59
  Swap 60 and 59
  List after swap: [27, 49, -55, 59, 60, -87]
  Compare 60 and -87
  Swap 60 and -87
  List after swap: [27, 49, -55, 59, -87, 60]

Pass 2:
  Compare 27 and 49
  No swap needed
  Compare 49 and -55
  Swap 49 and -55
  List after swap: [27, -55, 49, 59, -87, 60]
  Compare 49 and 59
  No swap needed
  Compare 59 and -87
  Swap 59 and -87
  List after swap: [27, -55, 49, -87, 59, 60]

Pass 3:
  Compare 27 and -55
  Swap 27 and -55
  List after swap: [-55, 27, 49, -87, 59, 60]
  Compare 27 and 49
  No swap needed
  Compare 49 and -87
  Swap 49 and -87
  List after swap: [-55, 27, -87, 49, 59, 60]

Pass 4:
  Compare -55 and 27
  No swap needed
  Compare 27 and -87
  Swap 27 and -87
  List after swap: [-55, -87, 27, 49, 59, 60]

Pass 5:
  Compare -55 and -87
  Swap -55 and -87
  List after swap: [-87, -55, 27, 49, 59, 60]

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

Final sorted list: [-87, -55, 27, 49, 59, 60]
</think>

<response>-87, -55, 27, 49, 59, 60</response>


input: Arrange the numbers 5, 54, 52, -56, -84, -97, 84, 1, -88, 32 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [5, 54, 52, -56, -84, -97, 84, 1, -88, 32]

Pass 1:
  Compare 5 and 54
  No swap needed
  Compare 54 and 52
  Swap 54 and 52
  List after swap: [5, 52, 54, -56, -84, -97, 84, 1, -88, 32]
  Compare 54 and -56
  Swap 54 and -56
  List after swap: [5, 52, -56, 54, -84, -97, 84, 1, -88, 32]
  Compare 54 and -84
  Swap 54 and -84
  List after swap: [5, 52, -56, -84, 54, -97, 84, 1, -88, 32]
  Compare 54 and -97
  Swap 54 and -97
  List after swap: [5, 52, -56, -84, -97, 54, 84, 1, -88, 32]
  Compare 54 and 84
  No swap needed
  Compare 84 and 1
  Swap 84 and 1
  List after swap: [5, 52, -56, -84, -97, 54, 1, 84, -88, 32]
  Compare 84 and -88
  Swap 84 and -88
  List after swap: [5, 52, -56, -84, -97, 54, 1, -88, 84, 32]
  Compare 84 and 32
  Swap 84 and 32
  List after swap: [5, 52, -56, -84, -97, 54, 1, -88, 32, 84]

Pass 2:
  Compare 5 and 52
  No swap needed
  Compare 52 and -56
  Swap 52 and -56
  List after swap: [5, -56, 52, -84, -97, 54, 1, -88, 32, 84]
  Compare 52 and -84
  Swap 52 and -84
  List after swap: [5, -56, -84, 52, -97, 54, 1, -88, 32, 84]
  Compare 52 and -97
  Swap 52 and -97
  List after swap: [5, -56, -84, -97, 52, 54, 1, -88, 32, 84]
  Compare 52 and 54
  No swap needed
  Compare 54 and 1
  Swap 54 and 1
  List after swap: [5, -56, -84, -97, 52, 1, 54, -88, 32, 84]
  Compare 54 and -88
  Swap 54 and -88
  List after swap: [5, -56, -84, -97, 52, 1, -88, 54, 32, 84]
  Compare 54 and 32
  Swap 54 and 32
  List after swap: [5, -56, -84, -97, 52, 1, -88, 32, 54, 84]

Pass 3:
  Compare 5 and -56
  Swap 5 and -56
  List after swap: [-56, 5, -84, -97, 52, 1, -88, 32, 54, 84]
  Compare 5 and -84
  Swap 5 and -84
  List after swap: [-56, -84, 5, -97, 52, 1, -88, 32, 54, 84]
  Compare 5 and -97
  Swap 5 and -97
  List after swap: [-56, -84, -97, 5, 52, 1, -88, 32, 54, 84]
  Compare 5 and 52
  No swap needed
  Compare 52 and 1
  Swap 52 and 1
  List after swap: [-56, -84, -97, 5, 1, 52, -88, 32, 54, 84]
  Compare 52 and -88
  Swap 52 and -88
  List after swap: [-56, -84, -97, 5, 1, -88, 52, 32, 54, 84]
  Compare 52 and 32
  Swap 52 and 32
  List after swap: [-56, -84, -97, 5, 1, -88, 32, 52, 54, 84]

Pass 4:
  Compare -56 and -84
  Swap -56 and -84
  List after swap: [-84, -56, -97, 5, 1, -88, 32, 52, 54, 84]
  Compare -56 and -97
  Swap -56 and -97
  List after swap: [-84, -97, -56, 5, 1, -88, 32, 52, 54, 84]
  Compare -56 and 5
  No swap needed
  Compare 5 and 1
  Swap 5 and 1
  List after swap: [-84, -97, -56, 1, 5, -88, 32, 52, 54, 84]
  Compare 5 and -88
  Swap 5 and -88
  List after swap: [-84, -97, -56, 1, -88, 5, 32, 52, 54, 84]
  Compare 5 and 32
  No swap needed

Pass 5:
  Compare -84 and -97
  Swap -84 and -97
  List after swap: [-97, -84, -56, 1, -88, 5, 32, 52, 54, 84]
  Compare -84 and -56
  No swap needed
  Compare -56 and 1
  No swap needed
  Compare 1 and -88
  Swap 1 and -88
  List after swap: [-97, -84, -56, -88, 1, 5, 32, 52, 54, 84]
  Compare 1 and 5
  No swap needed

Pass 6:
  Compare -97 and -84
  No swap needed
  Compare -84 and -56
  No swap needed
  Compare -56 and -88
  Swap -56 and -88
  List after swap: [-97, -84, -88, -56, 1, 5, 32, 52, 54, 84]
  Compare -56 and 1
  No swap needed

Pass 7:
  Compare -97 and -84
  No swap needed
  Compare -84 and -88
  Swap -84 and -88
  List after swap: [-97, -88, -84, -56, 1, 5, 32, 52, 54, 84]
  Compare -84 and -56
  No swap needed

Pass 8:
  Compare -97 and -88
  No swap needed
  Compare -88 and -84
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -88, -84, -56, 1, 5, 32, 52, 54, 84]
</think>

<response>-97, -88, -84, -56, 1, 5, 32, 52, 54, 84</response>


input: Perform a bubble sort on the integers 48, -80, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [48, -80]

Pass 1:
  Compare 48 and -80
  Swap 48 and -80
  List after swap: [-80, 48]

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

Final sorted list: [-80, 48]
</think>

<response>-80, 48</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 89, 68, 24, 52, -89, -17, -68, 76, 85.

output:
<think>
Initial list: [89, 68, 24, 52, -89, -17, -68, 76, 85]

Pass 1:
  Compare 89 and 68
  Swap 89 and 68
  List after swap: [68, 89, 24, 52, -89, -17, -68, 76, 85]
  Compare 89 and 24
  Swap 89 and 24
  List after swap: [68, 24, 89, 52, -89, -17, -68, 76, 85]
  Compare 89 and 52
  Swap 89 and 52
  List after swap: [68, 24, 52, 89, -89, -17, -68, 76, 85]
  Compare 89 and -89
  Swap 89 and -89
  List after swap: [68, 24, 52, -89, 89, -17, -68, 76, 85]
  Compare 89 and -17
  Swap 89 and -17
  List after swap: [68, 24, 52, -89, -17, 89, -68, 76, 85]
  Compare 89 and -68
  Swap 89 and -68
  List after swap: [68, 24, 52, -89, -17, -68, 89, 76, 85]
  Compare 89 and 76
  Swap 89 and 76
  List after swap: [68, 24, 52, -89, -17, -68, 76, 89, 85]
  Compare 89 and 85
  Swap 89 and 85
  List after swap: [68, 24, 52, -89, -17, -68, 76, 85, 89]

Pass 2:
  Compare 68 and 24
  Swap 68 and 24
  List after swap: [24, 68, 52, -89, -17, -68, 76, 85, 89]
  Compare 68 and 52
  Swap 68 and 52
  List after swap: [24, 52, 68, -89, -17, -68, 76, 85, 89]
  Compare 68 and -89
  Swap 68 and -89
  List after swap: [24, 52, -89, 68, -17, -68, 76, 85, 89]
  Compare 68 and -17
  Swap 68 and -17
  List after swap: [24, 52, -89, -17, 68, -68, 76, 85, 89]
  Compare 68 and -68
  Swap 68 and -68
  List after swap: [24, 52, -89, -17, -68, 68, 76, 85, 89]
  Compare 68 and 76
  No swap needed
  Compare 76 and 85
  No swap needed

Pass 3:
  Compare 24 and 52
  No swap needed
  Compare 52 and -89
  Swap 52 and -89
  List after swap: [24, -89, 52, -17, -68, 68, 76, 85, 89]
  Compare 52 and -17
  Swap 52 and -17
  List after swap: [24, -89, -17, 52, -68, 68, 76, 85, 89]
  Compare 52 and -68
  Swap 52 and -68
  List after swap: [24, -89, -17, -68, 52, 68, 76, 85, 89]
  Compare 52 and 68
  No swap needed
  Compare 68 and 76
  No swap needed

Pass 4:
  Compare 24 and -89
  Swap 24 and -89
  List after swap: [-89, 24, -17, -68, 52, 68, 76, 85, 89]
  Compare 24 and -17
  Swap 24 and -17
  List after swap: [-89, -17, 24, -68, 52, 68, 76, 85, 89]
  Compare 24 and -68
  Swap 24 and -68
  List after swap: [-89, -17, -68, 24, 52, 68, 76, 85, 89]
  Compare 24 and 52
  No swap needed
  Compare 52 and 68
  No swap needed

Pass 5:
  Compare -89 and -17
  No swap needed
  Compare -17 and -68
  Swap -17 and -68
  List after swap: [-89, -68, -17, 24, 52, 68, 76, 85, 89]
  Compare -17 and 24
  No swap needed
  Compare 24 and 52
  No swap needed

Pass 6:
  Compare -89 and -68
  No swap needed
  Compare -68 and -17
  No swap needed
  Compare -17 and 24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -68, -17, 24, 52, 68, 76, 85, 89]
</think>

<response>-89, -68, -17, 24, 52, 68, 76, 85, 89</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -72, -97, -84, -56, -88, 74, -40, 42, -90.

output:
<think>
Initial list: [-72, -97, -84, -56, -88, 74, -40, 42, -90]

Pass 1:
  Compare -72 and -97
  Swap -72 and -97
  List after swap: [-97, -72, -84, -56, -88, 74, -40, 42, -90]
  Compare -72 and -84
  Swap -72 and -84
  List after swap: [-97, -84, -72, -56, -88, 74, -40, 42, -90]
  Compare -72 and -56
  No swap needed
  Compare -56 and -88
  Swap -56 and -88
  List after swap: [-97, -84, -72, -88, -56, 74, -40, 42, -90]
  Compare -56 and 74
  No swap needed
  Compare 74 and -40
  Swap 74 and -40
  List after swap: [-97, -84, -72, -88, -56, -40, 74, 42, -90]
  Compare 74 and 42
  Swap 74 and 42
  List after swap: [-97, -84, -72, -88, -56, -40, 42, 74, -90]
  Compare 74 and -90
  Swap 74 and -90
  List after swap: [-97, -84, -72, -88, -56, -40, 42, -90, 74]

Pass 2:
  Compare -97 and -84
  No swap needed
  Compare -84 and -72
  No swap needed
  Compare -72 and -88
  Swap -72 and -88
  List after swap: [-97, -84, -88, -72, -56, -40, 42, -90, 74]
  Compare -72 and -56
  No swap needed
  Compare -56 and -40
  No swap needed
  Compare -40 and 42
  No swap needed
  Compare 42 and -90
  Swap 42 and -90
  List after swap: [-97, -84, -88, -72, -56, -40, -90, 42, 74]

Pass 3:
  Compare -97 and -84
  No swap needed
  Compare -84 and -88
  Swap -84 and -88
  List after swap: [-97, -88, -84, -72, -56, -40, -90, 42, 74]
  Compare -84 and -72
  No swap needed
  Compare -72 and -56
  No swap needed
  Compare -56 and -40
  No swap needed
  Compare -40 and -90
  Swap -40 and -90
  List after swap: [-97, -88, -84, -72, -56, -90, -40, 42, 74]

Pass 4:
  Compare -97 and -88
  No swap needed
  Compare -88 and -84
  No swap needed
  Compare -84 and -72
  No swap needed
  Compare -72 and -56
  No swap needed
  Compare -56 and -90
  Swap -56 and -90
  List after swap: [-97, -88, -84, -72, -90, -56, -40, 42, 74]

Pass 5:
  Compare -97 and -88
  No swap needed
  Compare -88 and -84
  No swap needed
  Compare -84 and -72
  No swap needed
  Compare -72 and -90
  Swap -72 and -90
  List after swap: [-97, -88, -84, -90, -72, -56, -40, 42, 74]

Pass 6:
  Compare -97 and -88
  No swap needed
  Compare -88 and -84
  No swap needed
  Compare -84 and -90
  Swap -84 and -90
  List after swap: [-97, -88, -90, -84, -72, -56, -40, 42, 74]

Pass 7:
  Compare -97 and -88
  No swap needed
  Compare -88 and -90
  Swap -88 and -90
  List after swap: [-97, -90, -88, -84, -72, -56, -40, 42, 74]

Pass 8:
  Compare -97 and -90
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -90, -88, -84, -72, -56, -40, 42, 74]
</think>

<response>-97, -90, -88, -84, -72, -56, -40, 42, 74</response>