input: Using the bubble sort method, sort 63, 49, 81, 55, -11, 73, 70, 24, 85, -19 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [63, 49, 81, 55, -11, 73, 70, 24, 85, -19]

Pass 1:
  Compare 63 and 49
  Swap 63 and 49
  List after swap: [49, 63, 81, 55, -11, 73, 70, 24, 85, -19]
  Compare 63 and 81
  No swap needed
  Compare 81 and 55
  Swap 81 and 55
  List after swap: [49, 63, 55, 81, -11, 73, 70, 24, 85, -19]
  Compare 81 and -11
  Swap 81 and -11
  List after swap: [49, 63, 55, -11, 81, 73, 70, 24, 85, -19]
  Compare 81 and 73
  Swap 81 and 73
  List after swap: [49, 63, 55, -11, 73, 81, 70, 24, 85, -19]
  Compare 81 and 70
  Swap 81 and 70
  List after swap: [49, 63, 55, -11, 73, 70, 81, 24, 85, -19]
  Compare 81 and 24
  Swap 81 and 24
  List after swap: [49, 63, 55, -11, 73, 70, 24, 81, 85, -19]
  Compare 81 and 85
  No swap needed
  Compare 85 and -19
  Swap 85 and -19
  List after swap: [49, 63, 55, -11, 73, 70, 24, 81, -19, 85]

Pass 2:
  Compare 49 and 63
  No swap needed
  Compare 63 and 55
  Swap 63 and 55
  List after swap: [49, 55, 63, -11, 73, 70, 24, 81, -19, 85]
  Compare 63 and -11
  Swap 63 and -11
  List after swap: [49, 55, -11, 63, 73, 70, 24, 81, -19, 85]
  Compare 63 and 73
  No swap needed
  Compare 73 and 70
  Swap 73 and 70
  List after swap: [49, 55, -11, 63, 70, 73, 24, 81, -19, 85]
  Compare 73 and 24
  Swap 73 and 24
  List after swap: [49, 55, -11, 63, 70, 24, 73, 81, -19, 85]
  Compare 73 and 81
  No swap needed
  Compare 81 and -19
  Swap 81 and -19
  List after swap: [49, 55, -11, 63, 70, 24, 73, -19, 81, 85]

Pass 3:
  Compare 49 and 55
  No swap needed
  Compare 55 and -11
  Swap 55 and -11
  List after swap: [49, -11, 55, 63, 70, 24, 73, -19, 81, 85]
  Compare 55 and 63
  No swap needed
  Compare 63 and 70
  No swap needed
  Compare 70 and 24
  Swap 70 and 24
  List after swap: [49, -11, 55, 63, 24, 70, 73, -19, 81, 85]
  Compare 70 and 73
  No swap needed
  Compare 73 and -19
  Swap 73 and -19
  List after swap: [49, -11, 55, 63, 24, 70, -19, 73, 81, 85]

Pass 4:
  Compare 49 and -11
  Swap 49 and -11
  List after swap: [-11, 49, 55, 63, 24, 70, -19, 73, 81, 85]
  Compare 49 and 55
  No swap needed
  Compare 55 and 63
  No swap needed
  Compare 63 and 24
  Swap 63 and 24
  List after swap: [-11, 49, 55, 24, 63, 70, -19, 73, 81, 85]
  Compare 63 and 70
  No swap needed
  Compare 70 and -19
  Swap 70 and -19
  List after swap: [-11, 49, 55, 24, 63, -19, 70, 73, 81, 85]

Pass 5:
  Compare -11 and 49
  No swap needed
  Compare 49 and 55
  No swap needed
  Compare 55 and 24
  Swap 55 and 24
  List after swap: [-11, 49, 24, 55, 63, -19, 70, 73, 81, 85]
  Compare 55 and 63
  No swap needed
  Compare 63 and -19
  Swap 63 and -19
  List after swap: [-11, 49, 24, 55, -19, 63, 70, 73, 81, 85]

Pass 6:
  Compare -11 and 49
  No swap needed
  Compare 49 and 24
  Swap 49 and 24
  List after swap: [-11, 24, 49, 55, -19, 63, 70, 73, 81, 85]
  Compare 49 and 55
  No swap needed
  Compare 55 and -19
  Swap 55 and -19
  List after swap: [-11, 24, 49, -19, 55, 63, 70, 73, 81, 85]

Pass 7:
  Compare -11 and 24
  No swap needed
  Compare 24 and 49
  No swap needed
  Compare 49 and -19
  Swap 49 and -19
  List after swap: [-11, 24, -19, 49, 55, 63, 70, 73, 81, 85]

Pass 8:
  Compare -11 and 24
  No swap needed
  Compare 24 and -19
  Swap 24 and -19
  List after swap: [-11, -19, 24, 49, 55, 63, 70, 73, 81, 85]

Pass 9:
  Compare -11 and -19
  Swap -11 and -19
  List after swap: [-19, -11, 24, 49, 55, 63, 70, 73, 81, 85]

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

Final sorted list: [-19, -11, 24, 49, 55, 63, 70, 73, 81, 85]
</think>

<response>-19, -11, 24, 49, 55, 63, 70, 73, 81, 85</response>


input: Sort the list 26, -32, -90, -69, -26, -100, 86, 21, 64, 30 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [26, -32, -90, -69, -26, -100, 86, 21, 64, 30]

Pass 1:
  Compare 26 and -32
  Swap 26 and -32
  List after swap: [-32, 26, -90, -69, -26, -100, 86, 21, 64, 30]
  Compare 26 and -90
  Swap 26 and -90
  List after swap: [-32, -90, 26, -69, -26, -100, 86, 21, 64, 30]
  Compare 26 and -69
  Swap 26 and -69
  List after swap: [-32, -90, -69, 26, -26, -100, 86, 21, 64, 30]
  Compare 26 and -26
  Swap 26 and -26
  List after swap: [-32, -90, -69, -26, 26, -100, 86, 21, 64, 30]
  Compare 26 and -100
  Swap 26 and -100
  List after swap: [-32, -90, -69, -26, -100, 26, 86, 21, 64, 30]
  Compare 26 and 86
  No swap needed
  Compare 86 and 21
  Swap 86 and 21
  List after swap: [-32, -90, -69, -26, -100, 26, 21, 86, 64, 30]
  Compare 86 and 64
  Swap 86 and 64
  List after swap: [-32, -90, -69, -26, -100, 26, 21, 64, 86, 30]
  Compare 86 and 30
  Swap 86 and 30
  List after swap: [-32, -90, -69, -26, -100, 26, 21, 64, 30, 86]

Pass 2:
  Compare -32 and -90
  Swap -32 and -90
  List after swap: [-90, -32, -69, -26, -100, 26, 21, 64, 30, 86]
  Compare -32 and -69
  Swap -32 and -69
  List after swap: [-90, -69, -32, -26, -100, 26, 21, 64, 30, 86]
  Compare -32 and -26
  No swap needed
  Compare -26 and -100
  Swap -26 and -100
  List after swap: [-90, -69, -32, -100, -26, 26, 21, 64, 30, 86]
  Compare -26 and 26
  No swap needed
  Compare 26 and 21
  Swap 26 and 21
  List after swap: [-90, -69, -32, -100, -26, 21, 26, 64, 30, 86]
  Compare 26 and 64
  No swap needed
  Compare 64 and 30
  Swap 64 and 30
  List after swap: [-90, -69, -32, -100, -26, 21, 26, 30, 64, 86]

Pass 3:
  Compare -90 and -69
  No swap needed
  Compare -69 and -32
  No swap needed
  Compare -32 and -100
  Swap -32 and -100
  List after swap: [-90, -69, -100, -32, -26, 21, 26, 30, 64, 86]
  Compare -32 and -26
  No swap needed
  Compare -26 and 21
  No swap needed
  Compare 21 and 26
  No swap needed
  Compare 26 and 30
  No swap needed

Pass 4:
  Compare -90 and -69
  No swap needed
  Compare -69 and -100
  Swap -69 and -100
  List after swap: [-90, -100, -69, -32, -26, 21, 26, 30, 64, 86]
  Compare -69 and -32
  No swap needed
  Compare -32 and -26
  No swap needed
  Compare -26 and 21
  No swap needed
  Compare 21 and 26
  No swap needed

Pass 5:
  Compare -90 and -100
  Swap -90 and -100
  List after swap: [-100, -90, -69, -32, -26, 21, 26, 30, 64, 86]
  Compare -90 and -69
  No swap needed
  Compare -69 and -32
  No swap needed
  Compare -32 and -26
  No swap needed
  Compare -26 and 21
  No swap needed

Pass 6:
  Compare -100 and -90
  No swap needed
  Compare -90 and -69
  No swap needed
  Compare -69 and -32
  No swap needed
  Compare -32 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -90, -69, -32, -26, 21, 26, 30, 64, 86]
</think>

<response>-100, -90, -69, -32, -26, 21, 26, 30, 64, 86</response>


input: Sort these integers -35, -40, 97, 28, 22 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-35, -40, 97, 28, 22]

Pass 1:
  Compare -35 and -40
  Swap -35 and -40
  List after swap: [-40, -35, 97, 28, 22]
  Compare -35 and 97
  No swap needed
  Compare 97 and 28
  Swap 97 and 28
  List after swap: [-40, -35, 28, 97, 22]
  Compare 97 and 22
  Swap 97 and 22
  List after swap: [-40, -35, 28, 22, 97]

Pass 2:
  Compare -40 and -35
  No swap needed
  Compare -35 and 28
  No swap needed
  Compare 28 and 22
  Swap 28 and 22
  List after swap: [-40, -35, 22, 28, 97]

Pass 3:
  Compare -40 and -35
  No swap needed
  Compare -35 and 22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-40, -35, 22, 28, 97]
</think>

<response>-40, -35, 22, 28, 97</response>


input: Arrange the numbers -17, 51, -22, -23, -68, 54, -25, 57, 14, -82 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-17, 51, -22, -23, -68, 54, -25, 57, 14, -82]

Pass 1:
  Compare -17 and 51
  No swap needed
  Compare 51 and -22
  Swap 51 and -22
  List after swap: [-17, -22, 51, -23, -68, 54, -25, 57, 14, -82]
  Compare 51 and -23
  Swap 51 and -23
  List after swap: [-17, -22, -23, 51, -68, 54, -25, 57, 14, -82]
  Compare 51 and -68
  Swap 51 and -68
  List after swap: [-17, -22, -23, -68, 51, 54, -25, 57, 14, -82]
  Compare 51 and 54
  No swap needed
  Compare 54 and -25
  Swap 54 and -25
  List after swap: [-17, -22, -23, -68, 51, -25, 54, 57, 14, -82]
  Compare 54 and 57
  No swap needed
  Compare 57 and 14
  Swap 57 and 14
  List after swap: [-17, -22, -23, -68, 51, -25, 54, 14, 57, -82]
  Compare 57 and -82
  Swap 57 and -82
  List after swap: [-17, -22, -23, -68, 51, -25, 54, 14, -82, 57]

Pass 2:
  Compare -17 and -22
  Swap -17 and -22
  List after swap: [-22, -17, -23, -68, 51, -25, 54, 14, -82, 57]
  Compare -17 and -23
  Swap -17 and -23
  List after swap: [-22, -23, -17, -68, 51, -25, 54, 14, -82, 57]
  Compare -17 and -68
  Swap -17 and -68
  List after swap: [-22, -23, -68, -17, 51, -25, 54, 14, -82, 57]
  Compare -17 and 51
  No swap needed
  Compare 51 and -25
  Swap 51 and -25
  List after swap: [-22, -23, -68, -17, -25, 51, 54, 14, -82, 57]
  Compare 51 and 54
  No swap needed
  Compare 54 and 14
  Swap 54 and 14
  List after swap: [-22, -23, -68, -17, -25, 51, 14, 54, -82, 57]
  Compare 54 and -82
  Swap 54 and -82
  List after swap: [-22, -23, -68, -17, -25, 51, 14, -82, 54, 57]

Pass 3:
  Compare -22 and -23
  Swap -22 and -23
  List after swap: [-23, -22, -68, -17, -25, 51, 14, -82, 54, 57]
  Compare -22 and -68
  Swap -22 and -68
  List after swap: [-23, -68, -22, -17, -25, 51, 14, -82, 54, 57]
  Compare -22 and -17
  No swap needed
  Compare -17 and -25
  Swap -17 and -25
  List after swap: [-23, -68, -22, -25, -17, 51, 14, -82, 54, 57]
  Compare -17 and 51
  No swap needed
  Compare 51 and 14
  Swap 51 and 14
  List after swap: [-23, -68, -22, -25, -17, 14, 51, -82, 54, 57]
  Compare 51 and -82
  Swap 51 and -82
  List after swap: [-23, -68, -22, -25, -17, 14, -82, 51, 54, 57]

Pass 4:
  Compare -23 and -68
  Swap -23 and -68
  List after swap: [-68, -23, -22, -25, -17, 14, -82, 51, 54, 57]
  Compare -23 and -22
  No swap needed
  Compare -22 and -25
  Swap -22 and -25
  List after swap: [-68, -23, -25, -22, -17, 14, -82, 51, 54, 57]
  Compare -22 and -17
  No swap needed
  Compare -17 and 14
  No swap needed
  Compare 14 and -82
  Swap 14 and -82
  List after swap: [-68, -23, -25, -22, -17, -82, 14, 51, 54, 57]

Pass 5:
  Compare -68 and -23
  No swap needed
  Compare -23 and -25
  Swap -23 and -25
  List after swap: [-68, -25, -23, -22, -17, -82, 14, 51, 54, 57]
  Compare -23 and -22
  No swap needed
  Compare -22 and -17
  No swap needed
  Compare -17 and -82
  Swap -17 and -82
  List after swap: [-68, -25, -23, -22, -82, -17, 14, 51, 54, 57]

Pass 6:
  Compare -68 and -25
  No swap needed
  Compare -25 and -23
  No swap needed
  Compare -23 and -22
  No swap needed
  Compare -22 and -82
  Swap -22 and -82
  List after swap: [-68, -25, -23, -82, -22, -17, 14, 51, 54, 57]

Pass 7:
  Compare -68 and -25
  No swap needed
  Compare -25 and -23
  No swap needed
  Compare -23 and -82
  Swap -23 and -82
  List after swap: [-68, -25, -82, -23, -22, -17, 14, 51, 54, 57]

Pass 8:
  Compare -68 and -25
  No swap needed
  Compare -25 and -82
  Swap -25 and -82
  List after swap: [-68, -82, -25, -23, -22, -17, 14, 51, 54, 57]

Pass 9:
  Compare -68 and -82
  Swap -68 and -82
  List after swap: [-82, -68, -25, -23, -22, -17, 14, 51, 54, 57]

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

Final sorted list: [-82, -68, -25, -23, -22, -17, 14, 51, 54, 57]
</think>

<response>-82, -68, -25, -23, -22, -17, 14, 51, 54, 57</response>


input: Arrange the numbers -100, 83, -79, -99 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-100, 83, -79, -99]

Pass 1:
  Compare -100 and 83
  No swap needed
  Compare 83 and -79
  Swap 83 and -79
  List after swap: [-100, -79, 83, -99]
  Compare 83 and -99
  Swap 83 and -99
  List after swap: [-100, -79, -99, 83]

Pass 2:
  Compare -100 and -79
  No swap needed
  Compare -79 and -99
  Swap -79 and -99
  List after swap: [-100, -99, -79, 83]

Pass 3:
  Compare -100 and -99
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -99, -79, 83]
</think>

<response>-100, -99, -79, 83</response>


input: Use the bubble sort technique to reorder 39, 22, -84, 24, 27, -56, 29, -3, 61, 67 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [39, 22, -84, 24, 27, -56, 29, -3, 61, 67]

Pass 1:
  Compare 39 and 22
  Swap 39 and 22
  List after swap: [22, 39, -84, 24, 27, -56, 29, -3, 61, 67]
  Compare 39 and -84
  Swap 39 and -84
  List after swap: [22, -84, 39, 24, 27, -56, 29, -3, 61, 67]
  Compare 39 and 24
  Swap 39 and 24
  List after swap: [22, -84, 24, 39, 27, -56, 29, -3, 61, 67]
  Compare 39 and 27
  Swap 39 and 27
  List after swap: [22, -84, 24, 27, 39, -56, 29, -3, 61, 67]
  Compare 39 and -56
  Swap 39 and -56
  List after swap: [22, -84, 24, 27, -56, 39, 29, -3, 61, 67]
  Compare 39 and 29
  Swap 39 and 29
  List after swap: [22, -84, 24, 27, -56, 29, 39, -3, 61, 67]
  Compare 39 and -3
  Swap 39 and -3
  List after swap: [22, -84, 24, 27, -56, 29, -3, 39, 61, 67]
  Compare 39 and 61
  No swap needed
  Compare 61 and 67
  No swap needed

Pass 2:
  Compare 22 and -84
  Swap 22 and -84
  List after swap: [-84, 22, 24, 27, -56, 29, -3, 39, 61, 67]
  Compare 22 and 24
  No swap needed
  Compare 24 and 27
  No swap needed
  Compare 27 and -56
  Swap 27 and -56
  List after swap: [-84, 22, 24, -56, 27, 29, -3, 39, 61, 67]
  Compare 27 and 29
  No swap needed
  Compare 29 and -3
  Swap 29 and -3
  List after swap: [-84, 22, 24, -56, 27, -3, 29, 39, 61, 67]
  Compare 29 and 39
  No swap needed
  Compare 39 and 61
  No swap needed

Pass 3:
  Compare -84 and 22
  No swap needed
  Compare 22 and 24
  No swap needed
  Compare 24 and -56
  Swap 24 and -56
  List after swap: [-84, 22, -56, 24, 27, -3, 29, 39, 61, 67]
  Compare 24 and 27
  No swap needed
  Compare 27 and -3
  Swap 27 and -3
  List after swap: [-84, 22, -56, 24, -3, 27, 29, 39, 61, 67]
  Compare 27 and 29
  No swap needed
  Compare 29 and 39
  No swap needed

Pass 4:
  Compare -84 and 22
  No swap needed
  Compare 22 and -56
  Swap 22 and -56
  List after swap: [-84, -56, 22, 24, -3, 27, 29, 39, 61, 67]
  Compare 22 and 24
  No swap needed
  Compare 24 and -3
  Swap 24 and -3
  List after swap: [-84, -56, 22, -3, 24, 27, 29, 39, 61, 67]
  Compare 24 and 27
  No swap needed
  Compare 27 and 29
  No swap needed

Pass 5:
  Compare -84 and -56
  No swap needed
  Compare -56 and 22
  No swap needed
  Compare 22 and -3
  Swap 22 and -3
  List after swap: [-84, -56, -3, 22, 24, 27, 29, 39, 61, 67]
  Compare 22 and 24
  No swap needed
  Compare 24 and 27
  No swap needed

Pass 6:
  Compare -84 and -56
  No swap needed
  Compare -56 and -3
  No swap needed
  Compare -3 and 22
  No swap needed
  Compare 22 and 24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -56, -3, 22, 24, 27, 29, 39, 61, 67]
</think>

<response>-84, -56, -3, 22, 24, 27, 29, 39, 61, 67</response>


input: Implement bubble sort on 69, -16, -22 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [69, -16, -22]

Pass 1:
  Compare 69 and -16
  Swap 69 and -16
  List after swap: [-16, 69, -22]
  Compare 69 and -22
  Swap 69 and -22
  List after swap: [-16, -22, 69]

Pass 2:
  Compare -16 and -22
  Swap -16 and -22
  List after swap: [-22, -16, 69]

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

Final sorted list: [-22, -16, 69]
</think>

<response>-22, -16, 69</response>


input: Perform a bubble sort on the integers 9, 25, 81, -44, -52, 52, 66, -61, -49, 36, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [9, 25, 81, -44, -52, 52, 66, -61, -49, 36]

Pass 1:
  Compare 9 and 25
  No swap needed
  Compare 25 and 81
  No swap needed
  Compare 81 and -44
  Swap 81 and -44
  List after swap: [9, 25, -44, 81, -52, 52, 66, -61, -49, 36]
  Compare 81 and -52
  Swap 81 and -52
  List after swap: [9, 25, -44, -52, 81, 52, 66, -61, -49, 36]
  Compare 81 and 52
  Swap 81 and 52
  List after swap: [9, 25, -44, -52, 52, 81, 66, -61, -49, 36]
  Compare 81 and 66
  Swap 81 and 66
  List after swap: [9, 25, -44, -52, 52, 66, 81, -61, -49, 36]
  Compare 81 and -61
  Swap 81 and -61
  List after swap: [9, 25, -44, -52, 52, 66, -61, 81, -49, 36]
  Compare 81 and -49
  Swap 81 and -49
  List after swap: [9, 25, -44, -52, 52, 66, -61, -49, 81, 36]
  Compare 81 and 36
  Swap 81 and 36
  List after swap: [9, 25, -44, -52, 52, 66, -61, -49, 36, 81]

Pass 2:
  Compare 9 and 25
  No swap needed
  Compare 25 and -44
  Swap 25 and -44
  List after swap: [9, -44, 25, -52, 52, 66, -61, -49, 36, 81]
  Compare 25 and -52
  Swap 25 and -52
  List after swap: [9, -44, -52, 25, 52, 66, -61, -49, 36, 81]
  Compare 25 and 52
  No swap needed
  Compare 52 and 66
  No swap needed
  Compare 66 and -61
  Swap 66 and -61
  List after swap: [9, -44, -52, 25, 52, -61, 66, -49, 36, 81]
  Compare 66 and -49
  Swap 66 and -49
  List after swap: [9, -44, -52, 25, 52, -61, -49, 66, 36, 81]
  Compare 66 and 36
  Swap 66 and 36
  List after swap: [9, -44, -52, 25, 52, -61, -49, 36, 66, 81]

Pass 3:
  Compare 9 and -44
  Swap 9 and -44
  List after swap: [-44, 9, -52, 25, 52, -61, -49, 36, 66, 81]
  Compare 9 and -52
  Swap 9 and -52
  List after swap: [-44, -52, 9, 25, 52, -61, -49, 36, 66, 81]
  Compare 9 and 25
  No swap needed
  Compare 25 and 52
  No swap needed
  Compare 52 and -61
  Swap 52 and -61
  List after swap: [-44, -52, 9, 25, -61, 52, -49, 36, 66, 81]
  Compare 52 and -49
  Swap 52 and -49
  List after swap: [-44, -52, 9, 25, -61, -49, 52, 36, 66, 81]
  Compare 52 and 36
  Swap 52 and 36
  List after swap: [-44, -52, 9, 25, -61, -49, 36, 52, 66, 81]

Pass 4:
  Compare -44 and -52
  Swap -44 and -52
  List after swap: [-52, -44, 9, 25, -61, -49, 36, 52, 66, 81]
  Compare -44 and 9
  No swap needed
  Compare 9 and 25
  No swap needed
  Compare 25 and -61
  Swap 25 and -61
  List after swap: [-52, -44, 9, -61, 25, -49, 36, 52, 66, 81]
  Compare 25 and -49
  Swap 25 and -49
  List after swap: [-52, -44, 9, -61, -49, 25, 36, 52, 66, 81]
  Compare 25 and 36
  No swap needed

Pass 5:
  Compare -52 and -44
  No swap needed
  Compare -44 and 9
  No swap needed
  Compare 9 and -61
  Swap 9 and -61
  List after swap: [-52, -44, -61, 9, -49, 25, 36, 52, 66, 81]
  Compare 9 and -49
  Swap 9 and -49
  List after swap: [-52, -44, -61, -49, 9, 25, 36, 52, 66, 81]
  Compare 9 and 25
  No swap needed

Pass 6:
  Compare -52 and -44
  No swap needed
  Compare -44 and -61
  Swap -44 and -61
  List after swap: [-52, -61, -44, -49, 9, 25, 36, 52, 66, 81]
  Compare -44 and -49
  Swap -44 and -49
  List after swap: [-52, -61, -49, -44, 9, 25, 36, 52, 66, 81]
  Compare -44 and 9
  No swap needed

Pass 7:
  Compare -52 and -61
  Swap -52 and -61
  List after swap: [-61, -52, -49, -44, 9, 25, 36, 52, 66, 81]
  Compare -52 and -49
  No swap needed
  Compare -49 and -44
  No swap needed

Pass 8:
  Compare -61 and -52
  No swap needed
  Compare -52 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -52, -49, -44, 9, 25, 36, 52, 66, 81]
</think>

<response>-61, -52, -49, -44, 9, 25, 36, 52, 66, 81</response>


input: Using the bubble sort method, sort -64, -69, -23, 58, 10 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-64, -69, -23, 58, 10]

Pass 1:
  Compare -64 and -69
  Swap -64 and -69
  List after swap: [-69, -64, -23, 58, 10]
  Compare -64 and -23
  No swap needed
  Compare -23 and 58
  No swap needed
  Compare 58 and 10
  Swap 58 and 10
  List after swap: [-69, -64, -23, 10, 58]

Pass 2:
  Compare -69 and -64
  No swap needed
  Compare -64 and -23
  No swap needed
  Compare -23 and 10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -64, -23, 10, 58]
</think>

<response>-69, -64, -23, 10, 58</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 10, 7, 28, -59, 5, -27, -41, 26.

output:
<think>
Initial list: [10, 7, 28, -59, 5, -27, -41, 26]

Pass 1:
  Compare 10 and 7
  Swap 10 and 7
  List after swap: [7, 10, 28, -59, 5, -27, -41, 26]
  Compare 10 and 28
  No swap needed
  Compare 28 and -59
  Swap 28 and -59
  List after swap: [7, 10, -59, 28, 5, -27, -41, 26]
  Compare 28 and 5
  Swap 28 and 5
  List after swap: [7, 10, -59, 5, 28, -27, -41, 26]
  Compare 28 and -27
  Swap 28 and -27
  List after swap: [7, 10, -59, 5, -27, 28, -41, 26]
  Compare 28 and -41
  Swap 28 and -41
  List after swap: [7, 10, -59, 5, -27, -41, 28, 26]
  Compare 28 and 26
  Swap 28 and 26
  List after swap: [7, 10, -59, 5, -27, -41, 26, 28]

Pass 2:
  Compare 7 and 10
  No swap needed
  Compare 10 and -59
  Swap 10 and -59
  List after swap: [7, -59, 10, 5, -27, -41, 26, 28]
  Compare 10 and 5
  Swap 10 and 5
  List after swap: [7, -59, 5, 10, -27, -41, 26, 28]
  Compare 10 and -27
  Swap 10 and -27
  List after swap: [7, -59, 5, -27, 10, -41, 26, 28]
  Compare 10 and -41
  Swap 10 and -41
  List after swap: [7, -59, 5, -27, -41, 10, 26, 28]
  Compare 10 and 26
  No swap needed

Pass 3:
  Compare 7 and -59
  Swap 7 and -59
  List after swap: [-59, 7, 5, -27, -41, 10, 26, 28]
  Compare 7 and 5
  Swap 7 and 5
  List after swap: [-59, 5, 7, -27, -41, 10, 26, 28]
  Compare 7 and -27
  Swap 7 and -27
  List after swap: [-59, 5, -27, 7, -41, 10, 26, 28]
  Compare 7 and -41
  Swap 7 and -41
  List after swap: [-59, 5, -27, -41, 7, 10, 26, 28]
  Compare 7 and 10
  No swap needed

Pass 4:
  Compare -59 and 5
  No swap needed
  Compare 5 and -27
  Swap 5 and -27
  List after swap: [-59, -27, 5, -41, 7, 10, 26, 28]
  Compare 5 and -41
  Swap 5 and -41
  List after swap: [-59, -27, -41, 5, 7, 10, 26, 28]
  Compare 5 and 7
  No swap needed

Pass 5:
  Compare -59 and -27
  No swap needed
  Compare -27 and -41
  Swap -27 and -41
  List after swap: [-59, -41, -27, 5, 7, 10, 26, 28]
  Compare -27 and 5
  No swap needed

Pass 6:
  Compare -59 and -41
  No swap needed
  Compare -41 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, -41, -27, 5, 7, 10, 26, 28]
</think>

<response>-59, -41, -27, 5, 7, 10, 26, 28</response>


input: Carry out the bubble sort algorithm on -95, -39, 1, -19, -84, -72, -88, -54 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-95, -39, 1, -19, -84, -72, -88, -54]

Pass 1:
  Compare -95 and -39
  No swap needed
  Compare -39 and 1
  No swap needed
  Compare 1 and -19
  Swap 1 and -19
  List after swap: [-95, -39, -19, 1, -84, -72, -88, -54]
  Compare 1 and -84
  Swap 1 and -84
  List after swap: [-95, -39, -19, -84, 1, -72, -88, -54]
  Compare 1 and -72
  Swap 1 and -72
  List after swap: [-95, -39, -19, -84, -72, 1, -88, -54]
  Compare 1 and -88
  Swap 1 and -88
  List after swap: [-95, -39, -19, -84, -72, -88, 1, -54]
  Compare 1 and -54
  Swap 1 and -54
  List after swap: [-95, -39, -19, -84, -72, -88, -54, 1]

Pass 2:
  Compare -95 and -39
  No swap needed
  Compare -39 and -19
  No swap needed
  Compare -19 and -84
  Swap -19 and -84
  List after swap: [-95, -39, -84, -19, -72, -88, -54, 1]
  Compare -19 and -72
  Swap -19 and -72
  List after swap: [-95, -39, -84, -72, -19, -88, -54, 1]
  Compare -19 and -88
  Swap -19 and -88
  List after swap: [-95, -39, -84, -72, -88, -19, -54, 1]
  Compare -19 and -54
  Swap -19 and -54
  List after swap: [-95, -39, -84, -72, -88, -54, -19, 1]

Pass 3:
  Compare -95 and -39
  No swap needed
  Compare -39 and -84
  Swap -39 and -84
  List after swap: [-95, -84, -39, -72, -88, -54, -19, 1]
  Compare -39 and -72
  Swap -39 and -72
  List after swap: [-95, -84, -72, -39, -88, -54, -19, 1]
  Compare -39 and -88
  Swap -39 and -88
  List after swap: [-95, -84, -72, -88, -39, -54, -19, 1]
  Compare -39 and -54
  Swap -39 and -54
  List after swap: [-95, -84, -72, -88, -54, -39, -19, 1]

Pass 4:
  Compare -95 and -84
  No swap needed
  Compare -84 and -72
  No swap needed
  Compare -72 and -88
  Swap -72 and -88
  List after swap: [-95, -84, -88, -72, -54, -39, -19, 1]
  Compare -72 and -54
  No swap needed

Pass 5:
  Compare -95 and -84
  No swap needed
  Compare -84 and -88
  Swap -84 and -88
  List after swap: [-95, -88, -84, -72, -54, -39, -19, 1]
  Compare -84 and -72
  No swap needed

Pass 6:
  Compare -95 and -88
  No swap needed
  Compare -88 and -84
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -88, -84, -72, -54, -39, -19, 1]
</think>

<response>-95, -88, -84, -72, -54, -39, -19, 1</response>


input: Implement bubble sort on 51, -62, 55, 69, 84, 86 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [51, -62, 55, 69, 84, 86]

Pass 1:
  Compare 51 and -62
  Swap 51 and -62
  List after swap: [-62, 51, 55, 69, 84, 86]
  Compare 51 and 55
  No swap needed
  Compare 55 and 69
  No swap needed
  Compare 69 and 84
  No swap needed
  Compare 84 and 86
  No swap needed

Pass 2:
  Compare -62 and 51
  No swap needed
  Compare 51 and 55
  No swap needed
  Compare 55 and 69
  No swap needed
  Compare 69 and 84
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, 51, 55, 69, 84, 86]
</think>

<response>-62, 51, 55, 69, 84, 86</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -12, -3, 12.

output:
<think>
Initial list: [-12, -3, 12]

Pass 1:
  Compare -12 and -3
  No swap needed
  Compare -3 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-12, -3, 12]
</think>

<response>-12, -3, 12</response>


input: Use the bubble sort technique to reorder 44, -94, 4, -36, 97, 96, 82, -39 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [44, -94, 4, -36, 97, 96, 82, -39]

Pass 1:
  Compare 44 and -94
  Swap 44 and -94
  List after swap: [-94, 44, 4, -36, 97, 96, 82, -39]
  Compare 44 and 4
  Swap 44 and 4
  List after swap: [-94, 4, 44, -36, 97, 96, 82, -39]
  Compare 44 and -36
  Swap 44 and -36
  List after swap: [-94, 4, -36, 44, 97, 96, 82, -39]
  Compare 44 and 97
  No swap needed
  Compare 97 and 96
  Swap 97 and 96
  List after swap: [-94, 4, -36, 44, 96, 97, 82, -39]
  Compare 97 and 82
  Swap 97 and 82
  List after swap: [-94, 4, -36, 44, 96, 82, 97, -39]
  Compare 97 and -39
  Swap 97 and -39
  List after swap: [-94, 4, -36, 44, 96, 82, -39, 97]

Pass 2:
  Compare -94 and 4
  No swap needed
  Compare 4 and -36
  Swap 4 and -36
  List after swap: [-94, -36, 4, 44, 96, 82, -39, 97]
  Compare 4 and 44
  No swap needed
  Compare 44 and 96
  No swap needed
  Compare 96 and 82
  Swap 96 and 82
  List after swap: [-94, -36, 4, 44, 82, 96, -39, 97]
  Compare 96 and -39
  Swap 96 and -39
  List after swap: [-94, -36, 4, 44, 82, -39, 96, 97]

Pass 3:
  Compare -94 and -36
  No swap needed
  Compare -36 and 4
  No swap needed
  Compare 4 and 44
  No swap needed
  Compare 44 and 82
  No swap needed
  Compare 82 and -39
  Swap 82 and -39
  List after swap: [-94, -36, 4, 44, -39, 82, 96, 97]

Pass 4:
  Compare -94 and -36
  No swap needed
  Compare -36 and 4
  No swap needed
  Compare 4 and 44
  No swap needed
  Compare 44 and -39
  Swap 44 and -39
  List after swap: [-94, -36, 4, -39, 44, 82, 96, 97]

Pass 5:
  Compare -94 and -36
  No swap needed
  Compare -36 and 4
  No swap needed
  Compare 4 and -39
  Swap 4 and -39
  List after swap: [-94, -36, -39, 4, 44, 82, 96, 97]

Pass 6:
  Compare -94 and -36
  No swap needed
  Compare -36 and -39
  Swap -36 and -39
  List after swap: [-94, -39, -36, 4, 44, 82, 96, 97]

Pass 7:
  Compare -94 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -39, -36, 4, 44, 82, 96, 97]
</think>

<response>-94, -39, -36, 4, 44, 82, 96, 97</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 26, 41, 92, 84, 83, -62, -92, -74, -67, -85.

output:
<think>
Initial list: [26, 41, 92, 84, 83, -62, -92, -74, -67, -85]

Pass 1:
  Compare 26 and 41
  No swap needed
  Compare 41 and 92
  No swap needed
  Compare 92 and 84
  Swap 92 and 84
  List after swap: [26, 41, 84, 92, 83, -62, -92, -74, -67, -85]
  Compare 92 and 83
  Swap 92 and 83
  List after swap: [26, 41, 84, 83, 92, -62, -92, -74, -67, -85]
  Compare 92 and -62
  Swap 92 and -62
  List after swap: [26, 41, 84, 83, -62, 92, -92, -74, -67, -85]
  Compare 92 and -92
  Swap 92 and -92
  List after swap: [26, 41, 84, 83, -62, -92, 92, -74, -67, -85]
  Compare 92 and -74
  Swap 92 and -74
  List after swap: [26, 41, 84, 83, -62, -92, -74, 92, -67, -85]
  Compare 92 and -67
  Swap 92 and -67
  List after swap: [26, 41, 84, 83, -62, -92, -74, -67, 92, -85]
  Compare 92 and -85
  Swap 92 and -85
  List after swap: [26, 41, 84, 83, -62, -92, -74, -67, -85, 92]

Pass 2:
  Compare 26 and 41
  No swap needed
  Compare 41 and 84
  No swap needed
  Compare 84 and 83
  Swap 84 and 83
  List after swap: [26, 41, 83, 84, -62, -92, -74, -67, -85, 92]
  Compare 84 and -62
  Swap 84 and -62
  List after swap: [26, 41, 83, -62, 84, -92, -74, -67, -85, 92]
  Compare 84 and -92
  Swap 84 and -92
  List after swap: [26, 41, 83, -62, -92, 84, -74, -67, -85, 92]
  Compare 84 and -74
  Swap 84 and -74
  List after swap: [26, 41, 83, -62, -92, -74, 84, -67, -85, 92]
  Compare 84 and -67
  Swap 84 and -67
  List after swap: [26, 41, 83, -62, -92, -74, -67, 84, -85, 92]
  Compare 84 and -85
  Swap 84 and -85
  List after swap: [26, 41, 83, -62, -92, -74, -67, -85, 84, 92]

Pass 3:
  Compare 26 and 41
  No swap needed
  Compare 41 and 83
  No swap needed
  Compare 83 and -62
  Swap 83 and -62
  List after swap: [26, 41, -62, 83, -92, -74, -67, -85, 84, 92]
  Compare 83 and -92
  Swap 83 and -92
  List after swap: [26, 41, -62, -92, 83, -74, -67, -85, 84, 92]
  Compare 83 and -74
  Swap 83 and -74
  List after swap: [26, 41, -62, -92, -74, 83, -67, -85, 84, 92]
  Compare 83 and -67
  Swap 83 and -67
  List after swap: [26, 41, -62, -92, -74, -67, 83, -85, 84, 92]
  Compare 83 and -85
  Swap 83 and -85
  List after swap: [26, 41, -62, -92, -74, -67, -85, 83, 84, 92]

Pass 4:
  Compare 26 and 41
  No swap needed
  Compare 41 and -62
  Swap 41 and -62
  List after swap: [26, -62, 41, -92, -74, -67, -85, 83, 84, 92]
  Compare 41 and -92
  Swap 41 and -92
  List after swap: [26, -62, -92, 41, -74, -67, -85, 83, 84, 92]
  Compare 41 and -74
  Swap 41 and -74
  List after swap: [26, -62, -92, -74, 41, -67, -85, 83, 84, 92]
  Compare 41 and -67
  Swap 41 and -67
  List after swap: [26, -62, -92, -74, -67, 41, -85, 83, 84, 92]
  Compare 41 and -85
  Swap 41 and -85
  List after swap: [26, -62, -92, -74, -67, -85, 41, 83, 84, 92]

Pass 5:
  Compare 26 and -62
  Swap 26 and -62
  List after swap: [-62, 26, -92, -74, -67, -85, 41, 83, 84, 92]
  Compare 26 and -92
  Swap 26 and -92
  List after swap: [-62, -92, 26, -74, -67, -85, 41, 83, 84, 92]
  Compare 26 and -74
  Swap 26 and -74
  List after swap: [-62, -92, -74, 26, -67, -85, 41, 83, 84, 92]
  Compare 26 and -67
  Swap 26 and -67
  List after swap: [-62, -92, -74, -67, 26, -85, 41, 83, 84, 92]
  Compare 26 and -85
  Swap 26 and -85
  List after swap: [-62, -92, -74, -67, -85, 26, 41, 83, 84, 92]

Pass 6:
  Compare -62 and -92
  Swap -62 and -92
  List after swap: [-92, -62, -74, -67, -85, 26, 41, 83, 84, 92]
  Compare -62 and -74
  Swap -62 and -74
  List after swap: [-92, -74, -62, -67, -85, 26, 41, 83, 84, 92]
  Compare -62 and -67
  Swap -62 and -67
  List after swap: [-92, -74, -67, -62, -85, 26, 41, 83, 84, 92]
  Compare -62 and -85
  Swap -62 and -85
  List after swap: [-92, -74, -67, -85, -62, 26, 41, 83, 84, 92]

Pass 7:
  Compare -92 and -74
  No swap needed
  Compare -74 and -67
  No swap needed
  Compare -67 and -85
  Swap -67 and -85
  List after swap: [-92, -74, -85, -67, -62, 26, 41, 83, 84, 92]

Pass 8:
  Compare -92 and -74
  No swap needed
  Compare -74 and -85
  Swap -74 and -85
  List after swap: [-92, -85, -74, -67, -62, 26, 41, 83, 84, 92]

Pass 9:
  Compare -92 and -85
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -85, -74, -67, -62, 26, 41, 83, 84, 92]
</think>

<response>-92, -85, -74, -67, -62, 26, 41, 83, 84, 92</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 75, 98, -20.

output:
<think>
Initial list: [75, 98, -20]

Pass 1:
  Compare 75 and 98
  No swap needed
  Compare 98 and -20
  Swap 98 and -20
  List after swap: [75, -20, 98]

Pass 2:
  Compare 75 and -20
  Swap 75 and -20
  List after swap: [-20, 75, 98]

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

Final sorted list: [-20, 75, 98]
</think>

<response>-20, 75, 98</response>


input: Demonstrate how bubble sort orders the integers 1, -35 in ascending sequence, showing all steps.

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

Pass 1:
  Compare 1 and -35
  Swap 1 and -35
  List after swap: [-35, 1]

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

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

<response>-35, 1</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -76, -82, -87, -41, -94, 89, 25.

output:
<think>
Initial list: [-76, -82, -87, -41, -94, 89, 25]

Pass 1:
  Compare -76 and -82
  Swap -76 and -82
  List after swap: [-82, -76, -87, -41, -94, 89, 25]
  Compare -76 and -87
  Swap -76 and -87
  List after swap: [-82, -87, -76, -41, -94, 89, 25]
  Compare -76 and -41
  No swap needed
  Compare -41 and -94
  Swap -41 and -94
  List after swap: [-82, -87, -76, -94, -41, 89, 25]
  Compare -41 and 89
  No swap needed
  Compare 89 and 25
  Swap 89 and 25
  List after swap: [-82, -87, -76, -94, -41, 25, 89]

Pass 2:
  Compare -82 and -87
  Swap -82 and -87
  List after swap: [-87, -82, -76, -94, -41, 25, 89]
  Compare -82 and -76
  No swap needed
  Compare -76 and -94
  Swap -76 and -94
  List after swap: [-87, -82, -94, -76, -41, 25, 89]
  Compare -76 and -41
  No swap needed
  Compare -41 and 25
  No swap needed

Pass 3:
  Compare -87 and -82
  No swap needed
  Compare -82 and -94
  Swap -82 and -94
  List after swap: [-87, -94, -82, -76, -41, 25, 89]
  Compare -82 and -76
  No swap needed
  Compare -76 and -41
  No swap needed

Pass 4:
  Compare -87 and -94
  Swap -87 and -94
  List after swap: [-94, -87, -82, -76, -41, 25, 89]
  Compare -87 and -82
  No swap needed
  Compare -82 and -76
  No swap needed

Pass 5:
  Compare -94 and -87
  No swap needed
  Compare -87 and -82
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -87, -82, -76, -41, 25, 89]
</think>

<response>-94, -87, -82, -76, -41, 25, 89</response>


input: Carry out the bubble sort algorithm on 16, 72, -35, -39, -55, -23, -72, 9, 89, 25 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [16, 72, -35, -39, -55, -23, -72, 9, 89, 25]

Pass 1:
  Compare 16 and 72
  No swap needed
  Compare 72 and -35
  Swap 72 and -35
  List after swap: [16, -35, 72, -39, -55, -23, -72, 9, 89, 25]
  Compare 72 and -39
  Swap 72 and -39
  List after swap: [16, -35, -39, 72, -55, -23, -72, 9, 89, 25]
  Compare 72 and -55
  Swap 72 and -55
  List after swap: [16, -35, -39, -55, 72, -23, -72, 9, 89, 25]
  Compare 72 and -23
  Swap 72 and -23
  List after swap: [16, -35, -39, -55, -23, 72, -72, 9, 89, 25]
  Compare 72 and -72
  Swap 72 and -72
  List after swap: [16, -35, -39, -55, -23, -72, 72, 9, 89, 25]
  Compare 72 and 9
  Swap 72 and 9
  List after swap: [16, -35, -39, -55, -23, -72, 9, 72, 89, 25]
  Compare 72 and 89
  No swap needed
  Compare 89 and 25
  Swap 89 and 25
  List after swap: [16, -35, -39, -55, -23, -72, 9, 72, 25, 89]

Pass 2:
  Compare 16 and -35
  Swap 16 and -35
  List after swap: [-35, 16, -39, -55, -23, -72, 9, 72, 25, 89]
  Compare 16 and -39
  Swap 16 and -39
  List after swap: [-35, -39, 16, -55, -23, -72, 9, 72, 25, 89]
  Compare 16 and -55
  Swap 16 and -55
  List after swap: [-35, -39, -55, 16, -23, -72, 9, 72, 25, 89]
  Compare 16 and -23
  Swap 16 and -23
  List after swap: [-35, -39, -55, -23, 16, -72, 9, 72, 25, 89]
  Compare 16 and -72
  Swap 16 and -72
  List after swap: [-35, -39, -55, -23, -72, 16, 9, 72, 25, 89]
  Compare 16 and 9
  Swap 16 and 9
  List after swap: [-35, -39, -55, -23, -72, 9, 16, 72, 25, 89]
  Compare 16 and 72
  No swap needed
  Compare 72 and 25
  Swap 72 and 25
  List after swap: [-35, -39, -55, -23, -72, 9, 16, 25, 72, 89]

Pass 3:
  Compare -35 and -39
  Swap -35 and -39
  List after swap: [-39, -35, -55, -23, -72, 9, 16, 25, 72, 89]
  Compare -35 and -55
  Swap -35 and -55
  List after swap: [-39, -55, -35, -23, -72, 9, 16, 25, 72, 89]
  Compare -35 and -23
  No swap needed
  Compare -23 and -72
  Swap -23 and -72
  List after swap: [-39, -55, -35, -72, -23, 9, 16, 25, 72, 89]
  Compare -23 and 9
  No swap needed
  Compare 9 and 16
  No swap needed
  Compare 16 and 25
  No swap needed

Pass 4:
  Compare -39 and -55
  Swap -39 and -55
  List after swap: [-55, -39, -35, -72, -23, 9, 16, 25, 72, 89]
  Compare -39 and -35
  No swap needed
  Compare -35 and -72
  Swap -35 and -72
  List after swap: [-55, -39, -72, -35, -23, 9, 16, 25, 72, 89]
  Compare -35 and -23
  No swap needed
  Compare -23 and 9
  No swap needed
  Compare 9 and 16
  No swap needed

Pass 5:
  Compare -55 and -39
  No swap needed
  Compare -39 and -72
  Swap -39 and -72
  List after swap: [-55, -72, -39, -35, -23, 9, 16, 25, 72, 89]
  Compare -39 and -35
  No swap needed
  Compare -35 and -23
  No swap needed
  Compare -23 and 9
  No swap needed

Pass 6:
  Compare -55 and -72
  Swap -55 and -72
  List after swap: [-72, -55, -39, -35, -23, 9, 16, 25, 72, 89]
  Compare -55 and -39
  No swap needed
  Compare -39 and -35
  No swap needed
  Compare -35 and -23
  No swap needed

Pass 7:
  Compare -72 and -55
  No swap needed
  Compare -55 and -39
  No swap needed
  Compare -39 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -55, -39, -35, -23, 9, 16, 25, 72, 89]
</think>

<response>-72, -55, -39, -35, -23, 9, 16, 25, 72, 89</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 17, -19.

output:
<think>
Initial list: [17, -19]

Pass 1:
  Compare 17 and -19
  Swap 17 and -19
  List after swap: [-19, 17]

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

Final sorted list: [-19, 17]
</think>

<response>-19, 17</response>


input: Carry out the bubble sort algorithm on -4, -84, 75, 24, -29, -8, -75, 72 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-4, -84, 75, 24, -29, -8, -75, 72]

Pass 1:
  Compare -4 and -84
  Swap -4 and -84
  List after swap: [-84, -4, 75, 24, -29, -8, -75, 72]
  Compare -4 and 75
  No swap needed
  Compare 75 and 24
  Swap 75 and 24
  List after swap: [-84, -4, 24, 75, -29, -8, -75, 72]
  Compare 75 and -29
  Swap 75 and -29
  List after swap: [-84, -4, 24, -29, 75, -8, -75, 72]
  Compare 75 and -8
  Swap 75 and -8
  List after swap: [-84, -4, 24, -29, -8, 75, -75, 72]
  Compare 75 and -75
  Swap 75 and -75
  List after swap: [-84, -4, 24, -29, -8, -75, 75, 72]
  Compare 75 and 72
  Swap 75 and 72
  List after swap: [-84, -4, 24, -29, -8, -75, 72, 75]

Pass 2:
  Compare -84 and -4
  No swap needed
  Compare -4 and 24
  No swap needed
  Compare 24 and -29
  Swap 24 and -29
  List after swap: [-84, -4, -29, 24, -8, -75, 72, 75]
  Compare 24 and -8
  Swap 24 and -8
  List after swap: [-84, -4, -29, -8, 24, -75, 72, 75]
  Compare 24 and -75
  Swap 24 and -75
  List after swap: [-84, -4, -29, -8, -75, 24, 72, 75]
  Compare 24 and 72
  No swap needed

Pass 3:
  Compare -84 and -4
  No swap needed
  Compare -4 and -29
  Swap -4 and -29
  List after swap: [-84, -29, -4, -8, -75, 24, 72, 75]
  Compare -4 and -8
  Swap -4 and -8
  List after swap: [-84, -29, -8, -4, -75, 24, 72, 75]
  Compare -4 and -75
  Swap -4 and -75
  List after swap: [-84, -29, -8, -75, -4, 24, 72, 75]
  Compare -4 and 24
  No swap needed

Pass 4:
  Compare -84 and -29
  No swap needed
  Compare -29 and -8
  No swap needed
  Compare -8 and -75
  Swap -8 and -75
  List after swap: [-84, -29, -75, -8, -4, 24, 72, 75]
  Compare -8 and -4
  No swap needed

Pass 5:
  Compare -84 and -29
  No swap needed
  Compare -29 and -75
  Swap -29 and -75
  List after swap: [-84, -75, -29, -8, -4, 24, 72, 75]
  Compare -29 and -8
  No swap needed

Pass 6:
  Compare -84 and -75
  No swap needed
  Compare -75 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -75, -29, -8, -4, 24, 72, 75]
</think>

<response>-84, -75, -29, -8, -4, 24, 72, 75</response>


input: Implement bubble sort on -80, 13, -36, -9, -38, 41 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-80, 13, -36, -9, -38, 41]

Pass 1:
  Compare -80 and 13
  No swap needed
  Compare 13 and -36
  Swap 13 and -36
  List after swap: [-80, -36, 13, -9, -38, 41]
  Compare 13 and -9
  Swap 13 and -9
  List after swap: [-80, -36, -9, 13, -38, 41]
  Compare 13 and -38
  Swap 13 and -38
  List after swap: [-80, -36, -9, -38, 13, 41]
  Compare 13 and 41
  No swap needed

Pass 2:
  Compare -80 and -36
  No swap needed
  Compare -36 and -9
  No swap needed
  Compare -9 and -38
  Swap -9 and -38
  List after swap: [-80, -36, -38, -9, 13, 41]
  Compare -9 and 13
  No swap needed

Pass 3:
  Compare -80 and -36
  No swap needed
  Compare -36 and -38
  Swap -36 and -38
  List after swap: [-80, -38, -36, -9, 13, 41]
  Compare -36 and -9
  No swap needed

Pass 4:
  Compare -80 and -38
  No swap needed
  Compare -38 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -38, -36, -9, 13, 41]
</think>

<response>-80, -38, -36, -9, 13, 41</response>


input: Carry out the bubble sort algorithm on -59, 69, -5, 42, 82, 81, 11, -63, 4 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-59, 69, -5, 42, 82, 81, 11, -63, 4]

Pass 1:
  Compare -59 and 69
  No swap needed
  Compare 69 and -5
  Swap 69 and -5
  List after swap: [-59, -5, 69, 42, 82, 81, 11, -63, 4]
  Compare 69 and 42
  Swap 69 and 42
  List after swap: [-59, -5, 42, 69, 82, 81, 11, -63, 4]
  Compare 69 and 82
  No swap needed
  Compare 82 and 81
  Swap 82 and 81
  List after swap: [-59, -5, 42, 69, 81, 82, 11, -63, 4]
  Compare 82 and 11
  Swap 82 and 11
  List after swap: [-59, -5, 42, 69, 81, 11, 82, -63, 4]
  Compare 82 and -63
  Swap 82 and -63
  List after swap: [-59, -5, 42, 69, 81, 11, -63, 82, 4]
  Compare 82 and 4
  Swap 82 and 4
  List after swap: [-59, -5, 42, 69, 81, 11, -63, 4, 82]

Pass 2:
  Compare -59 and -5
  No swap needed
  Compare -5 and 42
  No swap needed
  Compare 42 and 69
  No swap needed
  Compare 69 and 81
  No swap needed
  Compare 81 and 11
  Swap 81 and 11
  List after swap: [-59, -5, 42, 69, 11, 81, -63, 4, 82]
  Compare 81 and -63
  Swap 81 and -63
  List after swap: [-59, -5, 42, 69, 11, -63, 81, 4, 82]
  Compare 81 and 4
  Swap 81 and 4
  List after swap: [-59, -5, 42, 69, 11, -63, 4, 81, 82]

Pass 3:
  Compare -59 and -5
  No swap needed
  Compare -5 and 42
  No swap needed
  Compare 42 and 69
  No swap needed
  Compare 69 and 11
  Swap 69 and 11
  List after swap: [-59, -5, 42, 11, 69, -63, 4, 81, 82]
  Compare 69 and -63
  Swap 69 and -63
  List after swap: [-59, -5, 42, 11, -63, 69, 4, 81, 82]
  Compare 69 and 4
  Swap 69 and 4
  List after swap: [-59, -5, 42, 11, -63, 4, 69, 81, 82]

Pass 4:
  Compare -59 and -5
  No swap needed
  Compare -5 and 42
  No swap needed
  Compare 42 and 11
  Swap 42 and 11
  List after swap: [-59, -5, 11, 42, -63, 4, 69, 81, 82]
  Compare 42 and -63
  Swap 42 and -63
  List after swap: [-59, -5, 11, -63, 42, 4, 69, 81, 82]
  Compare 42 and 4
  Swap 42 and 4
  List after swap: [-59, -5, 11, -63, 4, 42, 69, 81, 82]

Pass 5:
  Compare -59 and -5
  No swap needed
  Compare -5 and 11
  No swap needed
  Compare 11 and -63
  Swap 11 and -63
  List after swap: [-59, -5, -63, 11, 4, 42, 69, 81, 82]
  Compare 11 and 4
  Swap 11 and 4
  List after swap: [-59, -5, -63, 4, 11, 42, 69, 81, 82]

Pass 6:
  Compare -59 and -5
  No swap needed
  Compare -5 and -63
  Swap -5 and -63
  List after swap: [-59, -63, -5, 4, 11, 42, 69, 81, 82]
  Compare -5 and 4
  No swap needed

Pass 7:
  Compare -59 and -63
  Swap -59 and -63
  List after swap: [-63, -59, -5, 4, 11, 42, 69, 81, 82]
  Compare -59 and -5
  No swap needed

Pass 8:
  Compare -63 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -59, -5, 4, 11, 42, 69, 81, 82]
</think>

<response>-63, -59, -5, 4, 11, 42, 69, 81, 82</response>


input: Using the bubble sort method, sort -37, 47, -2, 43, 87, -30, 95 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-37, 47, -2, 43, 87, -30, 95]

Pass 1:
  Compare -37 and 47
  No swap needed
  Compare 47 and -2
  Swap 47 and -2
  List after swap: [-37, -2, 47, 43, 87, -30, 95]
  Compare 47 and 43
  Swap 47 and 43
  List after swap: [-37, -2, 43, 47, 87, -30, 95]
  Compare 47 and 87
  No swap needed
  Compare 87 and -30
  Swap 87 and -30
  List after swap: [-37, -2, 43, 47, -30, 87, 95]
  Compare 87 and 95
  No swap needed

Pass 2:
  Compare -37 and -2
  No swap needed
  Compare -2 and 43
  No swap needed
  Compare 43 and 47
  No swap needed
  Compare 47 and -30
  Swap 47 and -30
  List after swap: [-37, -2, 43, -30, 47, 87, 95]
  Compare 47 and 87
  No swap needed

Pass 3:
  Compare -37 and -2
  No swap needed
  Compare -2 and 43
  No swap needed
  Compare 43 and -30
  Swap 43 and -30
  List after swap: [-37, -2, -30, 43, 47, 87, 95]
  Compare 43 and 47
  No swap needed

Pass 4:
  Compare -37 and -2
  No swap needed
  Compare -2 and -30
  Swap -2 and -30
  List after swap: [-37, -30, -2, 43, 47, 87, 95]
  Compare -2 and 43
  No swap needed

Pass 5:
  Compare -37 and -30
  No swap needed
  Compare -30 and -2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-37, -30, -2, 43, 47, 87, 95]
</think>

<response>-37, -30, -2, 43, 47, 87, 95</response>


input: Execute bubble sort to sort -68, 44, -54, 24, -45, -42, 18 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-68, 44, -54, 24, -45, -42, 18]

Pass 1:
  Compare -68 and 44
  No swap needed
  Compare 44 and -54
  Swap 44 and -54
  List after swap: [-68, -54, 44, 24, -45, -42, 18]
  Compare 44 and 24
  Swap 44 and 24
  List after swap: [-68, -54, 24, 44, -45, -42, 18]
  Compare 44 and -45
  Swap 44 and -45
  List after swap: [-68, -54, 24, -45, 44, -42, 18]
  Compare 44 and -42
  Swap 44 and -42
  List after swap: [-68, -54, 24, -45, -42, 44, 18]
  Compare 44 and 18
  Swap 44 and 18
  List after swap: [-68, -54, 24, -45, -42, 18, 44]

Pass 2:
  Compare -68 and -54
  No swap needed
  Compare -54 and 24
  No swap needed
  Compare 24 and -45
  Swap 24 and -45
  List after swap: [-68, -54, -45, 24, -42, 18, 44]
  Compare 24 and -42
  Swap 24 and -42
  List after swap: [-68, -54, -45, -42, 24, 18, 44]
  Compare 24 and 18
  Swap 24 and 18
  List after swap: [-68, -54, -45, -42, 18, 24, 44]

Pass 3:
  Compare -68 and -54
  No swap needed
  Compare -54 and -45
  No swap needed
  Compare -45 and -42
  No swap needed
  Compare -42 and 18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -54, -45, -42, 18, 24, 44]
</think>

<response>-68, -54, -45, -42, 18, 24, 44</response>


input: Implement bubble sort on 21, 43, 56, 25, 26, 53, 13 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [21, 43, 56, 25, 26, 53, 13]

Pass 1:
  Compare 21 and 43
  No swap needed
  Compare 43 and 56
  No swap needed
  Compare 56 and 25
  Swap 56 and 25
  List after swap: [21, 43, 25, 56, 26, 53, 13]
  Compare 56 and 26
  Swap 56 and 26
  List after swap: [21, 43, 25, 26, 56, 53, 13]
  Compare 56 and 53
  Swap 56 and 53
  List after swap: [21, 43, 25, 26, 53, 56, 13]
  Compare 56 and 13
  Swap 56 and 13
  List after swap: [21, 43, 25, 26, 53, 13, 56]

Pass 2:
  Compare 21 and 43
  No swap needed
  Compare 43 and 25
  Swap 43 and 25
  List after swap: [21, 25, 43, 26, 53, 13, 56]
  Compare 43 and 26
  Swap 43 and 26
  List after swap: [21, 25, 26, 43, 53, 13, 56]
  Compare 43 and 53
  No swap needed
  Compare 53 and 13
  Swap 53 and 13
  List after swap: [21, 25, 26, 43, 13, 53, 56]

Pass 3:
  Compare 21 and 25
  No swap needed
  Compare 25 and 26
  No swap needed
  Compare 26 and 43
  No swap needed
  Compare 43 and 13
  Swap 43 and 13
  List after swap: [21, 25, 26, 13, 43, 53, 56]

Pass 4:
  Compare 21 and 25
  No swap needed
  Compare 25 and 26
  No swap needed
  Compare 26 and 13
  Swap 26 and 13
  List after swap: [21, 25, 13, 26, 43, 53, 56]

Pass 5:
  Compare 21 and 25
  No swap needed
  Compare 25 and 13
  Swap 25 and 13
  List after swap: [21, 13, 25, 26, 43, 53, 56]

Pass 6:
  Compare 21 and 13
  Swap 21 and 13
  List after swap: [13, 21, 25, 26, 43, 53, 56]

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

Final sorted list: [13, 21, 25, 26, 43, 53, 56]
</think>

<response>13, 21, 25, 26, 43, 53, 56</response>


input: Use the bubble sort technique to reorder 84, 62, 7, -2, 8, 93, -46, 5 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [84, 62, 7, -2, 8, 93, -46, 5]

Pass 1:
  Compare 84 and 62
  Swap 84 and 62
  List after swap: [62, 84, 7, -2, 8, 93, -46, 5]
  Compare 84 and 7
  Swap 84 and 7
  List after swap: [62, 7, 84, -2, 8, 93, -46, 5]
  Compare 84 and -2
  Swap 84 and -2
  List after swap: [62, 7, -2, 84, 8, 93, -46, 5]
  Compare 84 and 8
  Swap 84 and 8
  List after swap: [62, 7, -2, 8, 84, 93, -46, 5]
  Compare 84 and 93
  No swap needed
  Compare 93 and -46
  Swap 93 and -46
  List after swap: [62, 7, -2, 8, 84, -46, 93, 5]
  Compare 93 and 5
  Swap 93 and 5
  List after swap: [62, 7, -2, 8, 84, -46, 5, 93]

Pass 2:
  Compare 62 and 7
  Swap 62 and 7
  List after swap: [7, 62, -2, 8, 84, -46, 5, 93]
  Compare 62 and -2
  Swap 62 and -2
  List after swap: [7, -2, 62, 8, 84, -46, 5, 93]
  Compare 62 and 8
  Swap 62 and 8
  List after swap: [7, -2, 8, 62, 84, -46, 5, 93]
  Compare 62 and 84
  No swap needed
  Compare 84 and -46
  Swap 84 and -46
  List after swap: [7, -2, 8, 62, -46, 84, 5, 93]
  Compare 84 and 5
  Swap 84 and 5
  List after swap: [7, -2, 8, 62, -46, 5, 84, 93]

Pass 3:
  Compare 7 and -2
  Swap 7 and -2
  List after swap: [-2, 7, 8, 62, -46, 5, 84, 93]
  Compare 7 and 8
  No swap needed
  Compare 8 and 62
  No swap needed
  Compare 62 and -46
  Swap 62 and -46
  List after swap: [-2, 7, 8, -46, 62, 5, 84, 93]
  Compare 62 and 5
  Swap 62 and 5
  List after swap: [-2, 7, 8, -46, 5, 62, 84, 93]

Pass 4:
  Compare -2 and 7
  No swap needed
  Compare 7 and 8
  No swap needed
  Compare 8 and -46
  Swap 8 and -46
  List after swap: [-2, 7, -46, 8, 5, 62, 84, 93]
  Compare 8 and 5
  Swap 8 and 5
  List after swap: [-2, 7, -46, 5, 8, 62, 84, 93]

Pass 5:
  Compare -2 and 7
  No swap needed
  Compare 7 and -46
  Swap 7 and -46
  List after swap: [-2, -46, 7, 5, 8, 62, 84, 93]
  Compare 7 and 5
  Swap 7 and 5
  List after swap: [-2, -46, 5, 7, 8, 62, 84, 93]

Pass 6:
  Compare -2 and -46
  Swap -2 and -46
  List after swap: [-46, -2, 5, 7, 8, 62, 84, 93]
  Compare -2 and 5
  No swap needed

Pass 7:
  Compare -46 and -2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-46, -2, 5, 7, 8, 62, 84, 93]
</think>

<response>-46, -2, 5, 7, 8, 62, 84, 93</response>


input: Using the bubble sort method, sort -31, 58, 67, -41, 94, 10, -28 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-31, 58, 67, -41, 94, 10, -28]

Pass 1:
  Compare -31 and 58
  No swap needed
  Compare 58 and 67
  No swap needed
  Compare 67 and -41
  Swap 67 and -41
  List after swap: [-31, 58, -41, 67, 94, 10, -28]
  Compare 67 and 94
  No swap needed
  Compare 94 and 10
  Swap 94 and 10
  List after swap: [-31, 58, -41, 67, 10, 94, -28]
  Compare 94 and -28
  Swap 94 and -28
  List after swap: [-31, 58, -41, 67, 10, -28, 94]

Pass 2:
  Compare -31 and 58
  No swap needed
  Compare 58 and -41
  Swap 58 and -41
  List after swap: [-31, -41, 58, 67, 10, -28, 94]
  Compare 58 and 67
  No swap needed
  Compare 67 and 10
  Swap 67 and 10
  List after swap: [-31, -41, 58, 10, 67, -28, 94]
  Compare 67 and -28
  Swap 67 and -28
  List after swap: [-31, -41, 58, 10, -28, 67, 94]

Pass 3:
  Compare -31 and -41
  Swap -31 and -41
  List after swap: [-41, -31, 58, 10, -28, 67, 94]
  Compare -31 and 58
  No swap needed
  Compare 58 and 10
  Swap 58 and 10
  List after swap: [-41, -31, 10, 58, -28, 67, 94]
  Compare 58 and -28
  Swap 58 and -28
  List after swap: [-41, -31, 10, -28, 58, 67, 94]

Pass 4:
  Compare -41 and -31
  No swap needed
  Compare -31 and 10
  No swap needed
  Compare 10 and -28
  Swap 10 and -28
  List after swap: [-41, -31, -28, 10, 58, 67, 94]

Pass 5:
  Compare -41 and -31
  No swap needed
  Compare -31 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-41, -31, -28, 10, 58, 67, 94]
</think>

<response>-41, -31, -28, 10, 58, 67, 94</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -84, 19, 93, 10, 98, -4, -56, 31.

output:
<think>
Initial list: [-84, 19, 93, 10, 98, -4, -56, 31]

Pass 1:
  Compare -84 and 19
  No swap needed
  Compare 19 and 93
  No swap needed
  Compare 93 and 10
  Swap 93 and 10
  List after swap: [-84, 19, 10, 93, 98, -4, -56, 31]
  Compare 93 and 98
  No swap needed
  Compare 98 and -4
  Swap 98 and -4
  List after swap: [-84, 19, 10, 93, -4, 98, -56, 31]
  Compare 98 and -56
  Swap 98 and -56
  List after swap: [-84, 19, 10, 93, -4, -56, 98, 31]
  Compare 98 and 31
  Swap 98 and 31
  List after swap: [-84, 19, 10, 93, -4, -56, 31, 98]

Pass 2:
  Compare -84 and 19
  No swap needed
  Compare 19 and 10
  Swap 19 and 10
  List after swap: [-84, 10, 19, 93, -4, -56, 31, 98]
  Compare 19 and 93
  No swap needed
  Compare 93 and -4
  Swap 93 and -4
  List after swap: [-84, 10, 19, -4, 93, -56, 31, 98]
  Compare 93 and -56
  Swap 93 and -56
  List after swap: [-84, 10, 19, -4, -56, 93, 31, 98]
  Compare 93 and 31
  Swap 93 and 31
  List after swap: [-84, 10, 19, -4, -56, 31, 93, 98]

Pass 3:
  Compare -84 and 10
  No swap needed
  Compare 10 and 19
  No swap needed
  Compare 19 and -4
  Swap 19 and -4
  List after swap: [-84, 10, -4, 19, -56, 31, 93, 98]
  Compare 19 and -56
  Swap 19 and -56
  List after swap: [-84, 10, -4, -56, 19, 31, 93, 98]
  Compare 19 and 31
  No swap needed

Pass 4:
  Compare -84 and 10
  No swap needed
  Compare 10 and -4
  Swap 10 and -4
  List after swap: [-84, -4, 10, -56, 19, 31, 93, 98]
  Compare 10 and -56
  Swap 10 and -56
  List after swap: [-84, -4, -56, 10, 19, 31, 93, 98]
  Compare 10 and 19
  No swap needed

Pass 5:
  Compare -84 and -4
  No swap needed
  Compare -4 and -56
  Swap -4 and -56
  List after swap: [-84, -56, -4, 10, 19, 31, 93, 98]
  Compare -4 and 10
  No swap needed

Pass 6:
  Compare -84 and -56
  No swap needed
  Compare -56 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -56, -4, 10, 19, 31, 93, 98]
</think>

<response>-84, -56, -4, 10, 19, 31, 93, 98</response>


input: Demonstrate how bubble sort orders the integers 36, 74, 15, -94, 47, 4, -91, -50, -82 in ascending sequence, showing all steps.

output:
<think>
Initial list: [36, 74, 15, -94, 47, 4, -91, -50, -82]

Pass 1:
  Compare 36 and 74
  No swap needed
  Compare 74 and 15
  Swap 74 and 15
  List after swap: [36, 15, 74, -94, 47, 4, -91, -50, -82]
  Compare 74 and -94
  Swap 74 and -94
  List after swap: [36, 15, -94, 74, 47, 4, -91, -50, -82]
  Compare 74 and 47
  Swap 74 and 47
  List after swap: [36, 15, -94, 47, 74, 4, -91, -50, -82]
  Compare 74 and 4
  Swap 74 and 4
  List after swap: [36, 15, -94, 47, 4, 74, -91, -50, -82]
  Compare 74 and -91
  Swap 74 and -91
  List after swap: [36, 15, -94, 47, 4, -91, 74, -50, -82]
  Compare 74 and -50
  Swap 74 and -50
  List after swap: [36, 15, -94, 47, 4, -91, -50, 74, -82]
  Compare 74 and -82
  Swap 74 and -82
  List after swap: [36, 15, -94, 47, 4, -91, -50, -82, 74]

Pass 2:
  Compare 36 and 15
  Swap 36 and 15
  List after swap: [15, 36, -94, 47, 4, -91, -50, -82, 74]
  Compare 36 and -94
  Swap 36 and -94
  List after swap: [15, -94, 36, 47, 4, -91, -50, -82, 74]
  Compare 36 and 47
  No swap needed
  Compare 47 and 4
  Swap 47 and 4
  List after swap: [15, -94, 36, 4, 47, -91, -50, -82, 74]
  Compare 47 and -91
  Swap 47 and -91
  List after swap: [15, -94, 36, 4, -91, 47, -50, -82, 74]
  Compare 47 and -50
  Swap 47 and -50
  List after swap: [15, -94, 36, 4, -91, -50, 47, -82, 74]
  Compare 47 and -82
  Swap 47 and -82
  List after swap: [15, -94, 36, 4, -91, -50, -82, 47, 74]

Pass 3:
  Compare 15 and -94
  Swap 15 and -94
  List after swap: [-94, 15, 36, 4, -91, -50, -82, 47, 74]
  Compare 15 and 36
  No swap needed
  Compare 36 and 4
  Swap 36 and 4
  List after swap: [-94, 15, 4, 36, -91, -50, -82, 47, 74]
  Compare 36 and -91
  Swap 36 and -91
  List after swap: [-94, 15, 4, -91, 36, -50, -82, 47, 74]
  Compare 36 and -50
  Swap 36 and -50
  List after swap: [-94, 15, 4, -91, -50, 36, -82, 47, 74]
  Compare 36 and -82
  Swap 36 and -82
  List after swap: [-94, 15, 4, -91, -50, -82, 36, 47, 74]

Pass 4:
  Compare -94 and 15
  No swap needed
  Compare 15 and 4
  Swap 15 and 4
  List after swap: [-94, 4, 15, -91, -50, -82, 36, 47, 74]
  Compare 15 and -91
  Swap 15 and -91
  List after swap: [-94, 4, -91, 15, -50, -82, 36, 47, 74]
  Compare 15 and -50
  Swap 15 and -50
  List after swap: [-94, 4, -91, -50, 15, -82, 36, 47, 74]
  Compare 15 and -82
  Swap 15 and -82
  List after swap: [-94, 4, -91, -50, -82, 15, 36, 47, 74]

Pass 5:
  Compare -94 and 4
  No swap needed
  Compare 4 and -91
  Swap 4 and -91
  List after swap: [-94, -91, 4, -50, -82, 15, 36, 47, 74]
  Compare 4 and -50
  Swap 4 and -50
  List after swap: [-94, -91, -50, 4, -82, 15, 36, 47, 74]
  Compare 4 and -82
  Swap 4 and -82
  List after swap: [-94, -91, -50, -82, 4, 15, 36, 47, 74]

Pass 6:
  Compare -94 and -91
  No swap needed
  Compare -91 and -50
  No swap needed
  Compare -50 and -82
  Swap -50 and -82
  List after swap: [-94, -91, -82, -50, 4, 15, 36, 47, 74]

Pass 7:
  Compare -94 and -91
  No swap needed
  Compare -91 and -82
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -91, -82, -50, 4, 15, 36, 47, 74]
</think>

<response>-94, -91, -82, -50, 4, 15, 36, 47, 74</response>


input: Demonstrate how bubble sort orders the integers -61, -28, -65, 73, 56 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-61, -28, -65, 73, 56]

Pass 1:
  Compare -61 and -28
  No swap needed
  Compare -28 and -65
  Swap -28 and -65
  List after swap: [-61, -65, -28, 73, 56]
  Compare -28 and 73
  No swap needed
  Compare 73 and 56
  Swap 73 and 56
  List after swap: [-61, -65, -28, 56, 73]

Pass 2:
  Compare -61 and -65
  Swap -61 and -65
  List after swap: [-65, -61, -28, 56, 73]
  Compare -61 and -28
  No swap needed
  Compare -28 and 56
  No swap needed

Pass 3:
  Compare -65 and -61
  No swap needed
  Compare -61 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -61, -28, 56, 73]
</think>

<response>-65, -61, -28, 56, 73</response>


input: Using the bubble sort method, sort -71, -87 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-71, -87]

Pass 1:
  Compare -71 and -87
  Swap -71 and -87
  List after swap: [-87, -71]

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

Final sorted list: [-87, -71]
</think>

<response>-87, -71</response>


input: Sort the list -23, -67, 19, 53, 54 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-23, -67, 19, 53, 54]

Pass 1:
  Compare -23 and -67
  Swap -23 and -67
  List after swap: [-67, -23, 19, 53, 54]
  Compare -23 and 19
  No swap needed
  Compare 19 and 53
  No swap needed
  Compare 53 and 54
  No swap needed

Pass 2:
  Compare -67 and -23
  No swap needed
  Compare -23 and 19
  No swap needed
  Compare 19 and 53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -23, 19, 53, 54]
</think>

<response>-67, -23, 19, 53, 54</response>


input: Using the bubble sort method, sort -36, 63 from lowest to highest and provide a step-by-step breakdown.

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

Pass 1:
  Compare -36 and 63
  No swap needed
  No swaps in this pass, list is sorted.

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

<response>-36, 63</response>


input: Arrange the numbers 68, 10, 58, -80, 66, 49, -70 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [68, 10, 58, -80, 66, 49, -70]

Pass 1:
  Compare 68 and 10
  Swap 68 and 10
  List after swap: [10, 68, 58, -80, 66, 49, -70]
  Compare 68 and 58
  Swap 68 and 58
  List after swap: [10, 58, 68, -80, 66, 49, -70]
  Compare 68 and -80
  Swap 68 and -80
  List after swap: [10, 58, -80, 68, 66, 49, -70]
  Compare 68 and 66
  Swap 68 and 66
  List after swap: [10, 58, -80, 66, 68, 49, -70]
  Compare 68 and 49
  Swap 68 and 49
  List after swap: [10, 58, -80, 66, 49, 68, -70]
  Compare 68 and -70
  Swap 68 and -70
  List after swap: [10, 58, -80, 66, 49, -70, 68]

Pass 2:
  Compare 10 and 58
  No swap needed
  Compare 58 and -80
  Swap 58 and -80
  List after swap: [10, -80, 58, 66, 49, -70, 68]
  Compare 58 and 66
  No swap needed
  Compare 66 and 49
  Swap 66 and 49
  List after swap: [10, -80, 58, 49, 66, -70, 68]
  Compare 66 and -70
  Swap 66 and -70
  List after swap: [10, -80, 58, 49, -70, 66, 68]

Pass 3:
  Compare 10 and -80
  Swap 10 and -80
  List after swap: [-80, 10, 58, 49, -70, 66, 68]
  Compare 10 and 58
  No swap needed
  Compare 58 and 49
  Swap 58 and 49
  List after swap: [-80, 10, 49, 58, -70, 66, 68]
  Compare 58 and -70
  Swap 58 and -70
  List after swap: [-80, 10, 49, -70, 58, 66, 68]

Pass 4:
  Compare -80 and 10
  No swap needed
  Compare 10 and 49
  No swap needed
  Compare 49 and -70
  Swap 49 and -70
  List after swap: [-80, 10, -70, 49, 58, 66, 68]

Pass 5:
  Compare -80 and 10
  No swap needed
  Compare 10 and -70
  Swap 10 and -70
  List after swap: [-80, -70, 10, 49, 58, 66, 68]

Pass 6:
  Compare -80 and -70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -70, 10, 49, 58, 66, 68]
</think>

<response>-80, -70, 10, 49, 58, 66, 68</response>


input: Using the bubble sort method, sort 99, -91, 76, -5, -8, 69, -27 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [99, -91, 76, -5, -8, 69, -27]

Pass 1:
  Compare 99 and -91
  Swap 99 and -91
  List after swap: [-91, 99, 76, -5, -8, 69, -27]
  Compare 99 and 76
  Swap 99 and 76
  List after swap: [-91, 76, 99, -5, -8, 69, -27]
  Compare 99 and -5
  Swap 99 and -5
  List after swap: [-91, 76, -5, 99, -8, 69, -27]
  Compare 99 and -8
  Swap 99 and -8
  List after swap: [-91, 76, -5, -8, 99, 69, -27]
  Compare 99 and 69
  Swap 99 and 69
  List after swap: [-91, 76, -5, -8, 69, 99, -27]
  Compare 99 and -27
  Swap 99 and -27
  List after swap: [-91, 76, -5, -8, 69, -27, 99]

Pass 2:
  Compare -91 and 76
  No swap needed
  Compare 76 and -5
  Swap 76 and -5
  List after swap: [-91, -5, 76, -8, 69, -27, 99]
  Compare 76 and -8
  Swap 76 and -8
  List after swap: [-91, -5, -8, 76, 69, -27, 99]
  Compare 76 and 69
  Swap 76 and 69
  List after swap: [-91, -5, -8, 69, 76, -27, 99]
  Compare 76 and -27
  Swap 76 and -27
  List after swap: [-91, -5, -8, 69, -27, 76, 99]

Pass 3:
  Compare -91 and -5
  No swap needed
  Compare -5 and -8
  Swap -5 and -8
  List after swap: [-91, -8, -5, 69, -27, 76, 99]
  Compare -5 and 69
  No swap needed
  Compare 69 and -27
  Swap 69 and -27
  List after swap: [-91, -8, -5, -27, 69, 76, 99]

Pass 4:
  Compare -91 and -8
  No swap needed
  Compare -8 and -5
  No swap needed
  Compare -5 and -27
  Swap -5 and -27
  List after swap: [-91, -8, -27, -5, 69, 76, 99]

Pass 5:
  Compare -91 and -8
  No swap needed
  Compare -8 and -27
  Swap -8 and -27
  List after swap: [-91, -27, -8, -5, 69, 76, 99]

Pass 6:
  Compare -91 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -27, -8, -5, 69, 76, 99]
</think>

<response>-91, -27, -8, -5, 69, 76, 99</response>


input: Sort the list -25, 39, -94, 38, -84, -28 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-25, 39, -94, 38, -84, -28]

Pass 1:
  Compare -25 and 39
  No swap needed
  Compare 39 and -94
  Swap 39 and -94
  List after swap: [-25, -94, 39, 38, -84, -28]
  Compare 39 and 38
  Swap 39 and 38
  List after swap: [-25, -94, 38, 39, -84, -28]
  Compare 39 and -84
  Swap 39 and -84
  List after swap: [-25, -94, 38, -84, 39, -28]
  Compare 39 and -28
  Swap 39 and -28
  List after swap: [-25, -94, 38, -84, -28, 39]

Pass 2:
  Compare -25 and -94
  Swap -25 and -94
  List after swap: [-94, -25, 38, -84, -28, 39]
  Compare -25 and 38
  No swap needed
  Compare 38 and -84
  Swap 38 and -84
  List after swap: [-94, -25, -84, 38, -28, 39]
  Compare 38 and -28
  Swap 38 and -28
  List after swap: [-94, -25, -84, -28, 38, 39]

Pass 3:
  Compare -94 and -25
  No swap needed
  Compare -25 and -84
  Swap -25 and -84
  List after swap: [-94, -84, -25, -28, 38, 39]
  Compare -25 and -28
  Swap -25 and -28
  List after swap: [-94, -84, -28, -25, 38, 39]

Pass 4:
  Compare -94 and -84
  No swap needed
  Compare -84 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -84, -28, -25, 38, 39]
</think>

<response>-94, -84, -28, -25, 38, 39</response>


input: Sort the list 81, -22, 5, -13, 70, -49, 12 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [81, -22, 5, -13, 70, -49, 12]

Pass 1:
  Compare 81 and -22
  Swap 81 and -22
  List after swap: [-22, 81, 5, -13, 70, -49, 12]
  Compare 81 and 5
  Swap 81 and 5
  List after swap: [-22, 5, 81, -13, 70, -49, 12]
  Compare 81 and -13
  Swap 81 and -13
  List after swap: [-22, 5, -13, 81, 70, -49, 12]
  Compare 81 and 70
  Swap 81 and 70
  List after swap: [-22, 5, -13, 70, 81, -49, 12]
  Compare 81 and -49
  Swap 81 and -49
  List after swap: [-22, 5, -13, 70, -49, 81, 12]
  Compare 81 and 12
  Swap 81 and 12
  List after swap: [-22, 5, -13, 70, -49, 12, 81]

Pass 2:
  Compare -22 and 5
  No swap needed
  Compare 5 and -13
  Swap 5 and -13
  List after swap: [-22, -13, 5, 70, -49, 12, 81]
  Compare 5 and 70
  No swap needed
  Compare 70 and -49
  Swap 70 and -49
  List after swap: [-22, -13, 5, -49, 70, 12, 81]
  Compare 70 and 12
  Swap 70 and 12
  List after swap: [-22, -13, 5, -49, 12, 70, 81]

Pass 3:
  Compare -22 and -13
  No swap needed
  Compare -13 and 5
  No swap needed
  Compare 5 and -49
  Swap 5 and -49
  List after swap: [-22, -13, -49, 5, 12, 70, 81]
  Compare 5 and 12
  No swap needed

Pass 4:
  Compare -22 and -13
  No swap needed
  Compare -13 and -49
  Swap -13 and -49
  List after swap: [-22, -49, -13, 5, 12, 70, 81]
  Compare -13 and 5
  No swap needed

Pass 5:
  Compare -22 and -49
  Swap -22 and -49
  List after swap: [-49, -22, -13, 5, 12, 70, 81]
  Compare -22 and -13
  No swap needed

Pass 6:
  Compare -49 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-49, -22, -13, 5, 12, 70, 81]
</think>

<response>-49, -22, -13, 5, 12, 70, 81</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 82, 49, 98.

output:
<think>
Initial list: [82, 49, 98]

Pass 1:
  Compare 82 and 49
  Swap 82 and 49
  List after swap: [49, 82, 98]
  Compare 82 and 98
  No swap needed

Pass 2:
  Compare 49 and 82
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [49, 82, 98]
</think>

<response>49, 82, 98</response>


input: Carry out the bubble sort algorithm on -100, 81 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-100, 81]

Pass 1:
  Compare -100 and 81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, 81]
</think>

<response>-100, 81</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 91, 85, -72, -82, 19, -37, -93, -41, -90, 28.

output:
<think>
Initial list: [91, 85, -72, -82, 19, -37, -93, -41, -90, 28]

Pass 1:
  Compare 91 and 85
  Swap 91 and 85
  List after swap: [85, 91, -72, -82, 19, -37, -93, -41, -90, 28]
  Compare 91 and -72
  Swap 91 and -72
  List after swap: [85, -72, 91, -82, 19, -37, -93, -41, -90, 28]
  Compare 91 and -82
  Swap 91 and -82
  List after swap: [85, -72, -82, 91, 19, -37, -93, -41, -90, 28]
  Compare 91 and 19
  Swap 91 and 19
  List after swap: [85, -72, -82, 19, 91, -37, -93, -41, -90, 28]
  Compare 91 and -37
  Swap 91 and -37
  List after swap: [85, -72, -82, 19, -37, 91, -93, -41, -90, 28]
  Compare 91 and -93
  Swap 91 and -93
  List after swap: [85, -72, -82, 19, -37, -93, 91, -41, -90, 28]
  Compare 91 and -41
  Swap 91 and -41
  List after swap: [85, -72, -82, 19, -37, -93, -41, 91, -90, 28]
  Compare 91 and -90
  Swap 91 and -90
  List after swap: [85, -72, -82, 19, -37, -93, -41, -90, 91, 28]
  Compare 91 and 28
  Swap 91 and 28
  List after swap: [85, -72, -82, 19, -37, -93, -41, -90, 28, 91]

Pass 2:
  Compare 85 and -72
  Swap 85 and -72
  List after swap: [-72, 85, -82, 19, -37, -93, -41, -90, 28, 91]
  Compare 85 and -82
  Swap 85 and -82
  List after swap: [-72, -82, 85, 19, -37, -93, -41, -90, 28, 91]
  Compare 85 and 19
  Swap 85 and 19
  List after swap: [-72, -82, 19, 85, -37, -93, -41, -90, 28, 91]
  Compare 85 and -37
  Swap 85 and -37
  List after swap: [-72, -82, 19, -37, 85, -93, -41, -90, 28, 91]
  Compare 85 and -93
  Swap 85 and -93
  List after swap: [-72, -82, 19, -37, -93, 85, -41, -90, 28, 91]
  Compare 85 and -41
  Swap 85 and -41
  List after swap: [-72, -82, 19, -37, -93, -41, 85, -90, 28, 91]
  Compare 85 and -90
  Swap 85 and -90
  List after swap: [-72, -82, 19, -37, -93, -41, -90, 85, 28, 91]
  Compare 85 and 28
  Swap 85 and 28
  List after swap: [-72, -82, 19, -37, -93, -41, -90, 28, 85, 91]

Pass 3:
  Compare -72 and -82
  Swap -72 and -82
  List after swap: [-82, -72, 19, -37, -93, -41, -90, 28, 85, 91]
  Compare -72 and 19
  No swap needed
  Compare 19 and -37
  Swap 19 and -37
  List after swap: [-82, -72, -37, 19, -93, -41, -90, 28, 85, 91]
  Compare 19 and -93
  Swap 19 and -93
  List after swap: [-82, -72, -37, -93, 19, -41, -90, 28, 85, 91]
  Compare 19 and -41
  Swap 19 and -41
  List after swap: [-82, -72, -37, -93, -41, 19, -90, 28, 85, 91]
  Compare 19 and -90
  Swap 19 and -90
  List after swap: [-82, -72, -37, -93, -41, -90, 19, 28, 85, 91]
  Compare 19 and 28
  No swap needed

Pass 4:
  Compare -82 and -72
  No swap needed
  Compare -72 and -37
  No swap needed
  Compare -37 and -93
  Swap -37 and -93
  List after swap: [-82, -72, -93, -37, -41, -90, 19, 28, 85, 91]
  Compare -37 and -41
  Swap -37 and -41
  List after swap: [-82, -72, -93, -41, -37, -90, 19, 28, 85, 91]
  Compare -37 and -90
  Swap -37 and -90
  List after swap: [-82, -72, -93, -41, -90, -37, 19, 28, 85, 91]
  Compare -37 and 19
  No swap needed

Pass 5:
  Compare -82 and -72
  No swap needed
  Compare -72 and -93
  Swap -72 and -93
  List after swap: [-82, -93, -72, -41, -90, -37, 19, 28, 85, 91]
  Compare -72 and -41
  No swap needed
  Compare -41 and -90
  Swap -41 and -90
  List after swap: [-82, -93, -72, -90, -41, -37, 19, 28, 85, 91]
  Compare -41 and -37
  No swap needed

Pass 6:
  Compare -82 and -93
  Swap -82 and -93
  List after swap: [-93, -82, -72, -90, -41, -37, 19, 28, 85, 91]
  Compare -82 and -72
  No swap needed
  Compare -72 and -90
  Swap -72 and -90
  List after swap: [-93, -82, -90, -72, -41, -37, 19, 28, 85, 91]
  Compare -72 and -41
  No swap needed

Pass 7:
  Compare -93 and -82
  No swap needed
  Compare -82 and -90
  Swap -82 and -90
  List after swap: [-93, -90, -82, -72, -41, -37, 19, 28, 85, 91]
  Compare -82 and -72
  No swap needed

Pass 8:
  Compare -93 and -90
  No swap needed
  Compare -90 and -82
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -90, -82, -72, -41, -37, 19, 28, 85, 91]
</think>

<response>-93, -90, -82, -72, -41, -37, 19, 28, 85, 91</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -42, -63.

output:
<think>
Initial list: [-42, -63]

Pass 1:
  Compare -42 and -63
  Swap -42 and -63
  List after swap: [-63, -42]

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

Final sorted list: [-63, -42]
</think>

<response>-63, -42</response>


input: Use the bubble sort technique to reorder -50, -13, 67, -81, 23, -48, 49, -24, -90, -100 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-50, -13, 67, -81, 23, -48, 49, -24, -90, -100]

Pass 1:
  Compare -50 and -13
  No swap needed
  Compare -13 and 67
  No swap needed
  Compare 67 and -81
  Swap 67 and -81
  List after swap: [-50, -13, -81, 67, 23, -48, 49, -24, -90, -100]
  Compare 67 and 23
  Swap 67 and 23
  List after swap: [-50, -13, -81, 23, 67, -48, 49, -24, -90, -100]
  Compare 67 and -48
  Swap 67 and -48
  List after swap: [-50, -13, -81, 23, -48, 67, 49, -24, -90, -100]
  Compare 67 and 49
  Swap 67 and 49
  List after swap: [-50, -13, -81, 23, -48, 49, 67, -24, -90, -100]
  Compare 67 and -24
  Swap 67 and -24
  List after swap: [-50, -13, -81, 23, -48, 49, -24, 67, -90, -100]
  Compare 67 and -90
  Swap 67 and -90
  List after swap: [-50, -13, -81, 23, -48, 49, -24, -90, 67, -100]
  Compare 67 and -100
  Swap 67 and -100
  List after swap: [-50, -13, -81, 23, -48, 49, -24, -90, -100, 67]

Pass 2:
  Compare -50 and -13
  No swap needed
  Compare -13 and -81
  Swap -13 and -81
  List after swap: [-50, -81, -13, 23, -48, 49, -24, -90, -100, 67]
  Compare -13 and 23
  No swap needed
  Compare 23 and -48
  Swap 23 and -48
  List after swap: [-50, -81, -13, -48, 23, 49, -24, -90, -100, 67]
  Compare 23 and 49
  No swap needed
  Compare 49 and -24
  Swap 49 and -24
  List after swap: [-50, -81, -13, -48, 23, -24, 49, -90, -100, 67]
  Compare 49 and -90
  Swap 49 and -90
  List after swap: [-50, -81, -13, -48, 23, -24, -90, 49, -100, 67]
  Compare 49 and -100
  Swap 49 and -100
  List after swap: [-50, -81, -13, -48, 23, -24, -90, -100, 49, 67]

Pass 3:
  Compare -50 and -81
  Swap -50 and -81
  List after swap: [-81, -50, -13, -48, 23, -24, -90, -100, 49, 67]
  Compare -50 and -13
  No swap needed
  Compare -13 and -48
  Swap -13 and -48
  List after swap: [-81, -50, -48, -13, 23, -24, -90, -100, 49, 67]
  Compare -13 and 23
  No swap needed
  Compare 23 and -24
  Swap 23 and -24
  List after swap: [-81, -50, -48, -13, -24, 23, -90, -100, 49, 67]
  Compare 23 and -90
  Swap 23 and -90
  List after swap: [-81, -50, -48, -13, -24, -90, 23, -100, 49, 67]
  Compare 23 and -100
  Swap 23 and -100
  List after swap: [-81, -50, -48, -13, -24, -90, -100, 23, 49, 67]

Pass 4:
  Compare -81 and -50
  No swap needed
  Compare -50 and -48
  No swap needed
  Compare -48 and -13
  No swap needed
  Compare -13 and -24
  Swap -13 and -24
  List after swap: [-81, -50, -48, -24, -13, -90, -100, 23, 49, 67]
  Compare -13 and -90
  Swap -13 and -90
  List after swap: [-81, -50, -48, -24, -90, -13, -100, 23, 49, 67]
  Compare -13 and -100
  Swap -13 and -100
  List after swap: [-81, -50, -48, -24, -90, -100, -13, 23, 49, 67]

Pass 5:
  Compare -81 and -50
  No swap needed
  Compare -50 and -48
  No swap needed
  Compare -48 and -24
  No swap needed
  Compare -24 and -90
  Swap -24 and -90
  List after swap: [-81, -50, -48, -90, -24, -100, -13, 23, 49, 67]
  Compare -24 and -100
  Swap -24 and -100
  List after swap: [-81, -50, -48, -90, -100, -24, -13, 23, 49, 67]

Pass 6:
  Compare -81 and -50
  No swap needed
  Compare -50 and -48
  No swap needed
  Compare -48 and -90
  Swap -48 and -90
  List after swap: [-81, -50, -90, -48, -100, -24, -13, 23, 49, 67]
  Compare -48 and -100
  Swap -48 and -100
  List after swap: [-81, -50, -90, -100, -48, -24, -13, 23, 49, 67]

Pass 7:
  Compare -81 and -50
  No swap needed
  Compare -50 and -90
  Swap -50 and -90
  List after swap: [-81, -90, -50, -100, -48, -24, -13, 23, 49, 67]
  Compare -50 and -100
  Swap -50 and -100
  List after swap: [-81, -90, -100, -50, -48, -24, -13, 23, 49, 67]

Pass 8:
  Compare -81 and -90
  Swap -81 and -90
  List after swap: [-90, -81, -100, -50, -48, -24, -13, 23, 49, 67]
  Compare -81 and -100
  Swap -81 and -100
  List after swap: [-90, -100, -81, -50, -48, -24, -13, 23, 49, 67]

Pass 9:
  Compare -90 and -100
  Swap -90 and -100
  List after swap: [-100, -90, -81, -50, -48, -24, -13, 23, 49, 67]

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

Final sorted list: [-100, -90, -81, -50, -48, -24, -13, 23, 49, 67]
</think>

<response>-100, -90, -81, -50, -48, -24, -13, 23, 49, 67</response>


input: Sort these integers 13, -89, -41, -53 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [13, -89, -41, -53]

Pass 1:
  Compare 13 and -89
  Swap 13 and -89
  List after swap: [-89, 13, -41, -53]
  Compare 13 and -41
  Swap 13 and -41
  List after swap: [-89, -41, 13, -53]
  Compare 13 and -53
  Swap 13 and -53
  List after swap: [-89, -41, -53, 13]

Pass 2:
  Compare -89 and -41
  No swap needed
  Compare -41 and -53
  Swap -41 and -53
  List after swap: [-89, -53, -41, 13]

Pass 3:
  Compare -89 and -53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -53, -41, 13]
</think>

<response>-89, -53, -41, 13</response>


input: Carry out the bubble sort algorithm on 50, -1 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [50, -1]

Pass 1:
  Compare 50 and -1
  Swap 50 and -1
  List after swap: [-1, 50]

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

Final sorted list: [-1, 50]
</think>

<response>-1, 50</response>


input: Carry out the bubble sort algorithm on 87, -70, 96, 25, 98, -94, -57, -63, 95, 8 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [87, -70, 96, 25, 98, -94, -57, -63, 95, 8]

Pass 1:
  Compare 87 and -70
  Swap 87 and -70
  List after swap: [-70, 87, 96, 25, 98, -94, -57, -63, 95, 8]
  Compare 87 and 96
  No swap needed
  Compare 96 and 25
  Swap 96 and 25
  List after swap: [-70, 87, 25, 96, 98, -94, -57, -63, 95, 8]
  Compare 96 and 98
  No swap needed
  Compare 98 and -94
  Swap 98 and -94
  List after swap: [-70, 87, 25, 96, -94, 98, -57, -63, 95, 8]
  Compare 98 and -57
  Swap 98 and -57
  List after swap: [-70, 87, 25, 96, -94, -57, 98, -63, 95, 8]
  Compare 98 and -63
  Swap 98 and -63
  List after swap: [-70, 87, 25, 96, -94, -57, -63, 98, 95, 8]
  Compare 98 and 95
  Swap 98 and 95
  List after swap: [-70, 87, 25, 96, -94, -57, -63, 95, 98, 8]
  Compare 98 and 8
  Swap 98 and 8
  List after swap: [-70, 87, 25, 96, -94, -57, -63, 95, 8, 98]

Pass 2:
  Compare -70 and 87
  No swap needed
  Compare 87 and 25
  Swap 87 and 25
  List after swap: [-70, 25, 87, 96, -94, -57, -63, 95, 8, 98]
  Compare 87 and 96
  No swap needed
  Compare 96 and -94
  Swap 96 and -94
  List after swap: [-70, 25, 87, -94, 96, -57, -63, 95, 8, 98]
  Compare 96 and -57
  Swap 96 and -57
  List after swap: [-70, 25, 87, -94, -57, 96, -63, 95, 8, 98]
  Compare 96 and -63
  Swap 96 and -63
  List after swap: [-70, 25, 87, -94, -57, -63, 96, 95, 8, 98]
  Compare 96 and 95
  Swap 96 and 95
  List after swap: [-70, 25, 87, -94, -57, -63, 95, 96, 8, 98]
  Compare 96 and 8
  Swap 96 and 8
  List after swap: [-70, 25, 87, -94, -57, -63, 95, 8, 96, 98]

Pass 3:
  Compare -70 and 25
  No swap needed
  Compare 25 and 87
  No swap needed
  Compare 87 and -94
  Swap 87 and -94
  List after swap: [-70, 25, -94, 87, -57, -63, 95, 8, 96, 98]
  Compare 87 and -57
  Swap 87 and -57
  List after swap: [-70, 25, -94, -57, 87, -63, 95, 8, 96, 98]
  Compare 87 and -63
  Swap 87 and -63
  List after swap: [-70, 25, -94, -57, -63, 87, 95, 8, 96, 98]
  Compare 87 and 95
  No swap needed
  Compare 95 and 8
  Swap 95 and 8
  List after swap: [-70, 25, -94, -57, -63, 87, 8, 95, 96, 98]

Pass 4:
  Compare -70 and 25
  No swap needed
  Compare 25 and -94
  Swap 25 and -94
  List after swap: [-70, -94, 25, -57, -63, 87, 8, 95, 96, 98]
  Compare 25 and -57
  Swap 25 and -57
  List after swap: [-70, -94, -57, 25, -63, 87, 8, 95, 96, 98]
  Compare 25 and -63
  Swap 25 and -63
  List after swap: [-70, -94, -57, -63, 25, 87, 8, 95, 96, 98]
  Compare 25 and 87
  No swap needed
  Compare 87 and 8
  Swap 87 and 8
  List after swap: [-70, -94, -57, -63, 25, 8, 87, 95, 96, 98]

Pass 5:
  Compare -70 and -94
  Swap -70 and -94
  List after swap: [-94, -70, -57, -63, 25, 8, 87, 95, 96, 98]
  Compare -70 and -57
  No swap needed
  Compare -57 and -63
  Swap -57 and -63
  List after swap: [-94, -70, -63, -57, 25, 8, 87, 95, 96, 98]
  Compare -57 and 25
  No swap needed
  Compare 25 and 8
  Swap 25 and 8
  List after swap: [-94, -70, -63, -57, 8, 25, 87, 95, 96, 98]

Pass 6:
  Compare -94 and -70
  No swap needed
  Compare -70 and -63
  No swap needed
  Compare -63 and -57
  No swap needed
  Compare -57 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -70, -63, -57, 8, 25, 87, 95, 96, 98]
</think>

<response>-94, -70, -63, -57, 8, 25, 87, 95, 96, 98</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -20, 68, -62, -88.

output:
<think>
Initial list: [-20, 68, -62, -88]

Pass 1:
  Compare -20 and 68
  No swap needed
  Compare 68 and -62
  Swap 68 and -62
  List after swap: [-20, -62, 68, -88]
  Compare 68 and -88
  Swap 68 and -88
  List after swap: [-20, -62, -88, 68]

Pass 2:
  Compare -20 and -62
  Swap -20 and -62
  List after swap: [-62, -20, -88, 68]
  Compare -20 and -88
  Swap -20 and -88
  List after swap: [-62, -88, -20, 68]

Pass 3:
  Compare -62 and -88
  Swap -62 and -88
  List after swap: [-88, -62, -20, 68]

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

Final sorted list: [-88, -62, -20, 68]
</think>

<response>-88, -62, -20, 68</response>


input: Sort the list -22, 35, -51 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-22, 35, -51]

Pass 1:
  Compare -22 and 35
  No swap needed
  Compare 35 and -51
  Swap 35 and -51
  List after swap: [-22, -51, 35]

Pass 2:
  Compare -22 and -51
  Swap -22 and -51
  List after swap: [-51, -22, 35]

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

Final sorted list: [-51, -22, 35]
</think>

<response>-51, -22, 35</response>


input: Arrange the numbers 33, 36, -22, -42, 30, -2, -54, -20, -25 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [33, 36, -22, -42, 30, -2, -54, -20, -25]

Pass 1:
  Compare 33 and 36
  No swap needed
  Compare 36 and -22
  Swap 36 and -22
  List after swap: [33, -22, 36, -42, 30, -2, -54, -20, -25]
  Compare 36 and -42
  Swap 36 and -42
  List after swap: [33, -22, -42, 36, 30, -2, -54, -20, -25]
  Compare 36 and 30
  Swap 36 and 30
  List after swap: [33, -22, -42, 30, 36, -2, -54, -20, -25]
  Compare 36 and -2
  Swap 36 and -2
  List after swap: [33, -22, -42, 30, -2, 36, -54, -20, -25]
  Compare 36 and -54
  Swap 36 and -54
  List after swap: [33, -22, -42, 30, -2, -54, 36, -20, -25]
  Compare 36 and -20
  Swap 36 and -20
  List after swap: [33, -22, -42, 30, -2, -54, -20, 36, -25]
  Compare 36 and -25
  Swap 36 and -25
  List after swap: [33, -22, -42, 30, -2, -54, -20, -25, 36]

Pass 2:
  Compare 33 and -22
  Swap 33 and -22
  List after swap: [-22, 33, -42, 30, -2, -54, -20, -25, 36]
  Compare 33 and -42
  Swap 33 and -42
  List after swap: [-22, -42, 33, 30, -2, -54, -20, -25, 36]
  Compare 33 and 30
  Swap 33 and 30
  List after swap: [-22, -42, 30, 33, -2, -54, -20, -25, 36]
  Compare 33 and -2
  Swap 33 and -2
  List after swap: [-22, -42, 30, -2, 33, -54, -20, -25, 36]
  Compare 33 and -54
  Swap 33 and -54
  List after swap: [-22, -42, 30, -2, -54, 33, -20, -25, 36]
  Compare 33 and -20
  Swap 33 and -20
  List after swap: [-22, -42, 30, -2, -54, -20, 33, -25, 36]
  Compare 33 and -25
  Swap 33 and -25
  List after swap: [-22, -42, 30, -2, -54, -20, -25, 33, 36]

Pass 3:
  Compare -22 and -42
  Swap -22 and -42
  List after swap: [-42, -22, 30, -2, -54, -20, -25, 33, 36]
  Compare -22 and 30
  No swap needed
  Compare 30 and -2
  Swap 30 and -2
  List after swap: [-42, -22, -2, 30, -54, -20, -25, 33, 36]
  Compare 30 and -54
  Swap 30 and -54
  List after swap: [-42, -22, -2, -54, 30, -20, -25, 33, 36]
  Compare 30 and -20
  Swap 30 and -20
  List after swap: [-42, -22, -2, -54, -20, 30, -25, 33, 36]
  Compare 30 and -25
  Swap 30 and -25
  List after swap: [-42, -22, -2, -54, -20, -25, 30, 33, 36]

Pass 4:
  Compare -42 and -22
  No swap needed
  Compare -22 and -2
  No swap needed
  Compare -2 and -54
  Swap -2 and -54
  List after swap: [-42, -22, -54, -2, -20, -25, 30, 33, 36]
  Compare -2 and -20
  Swap -2 and -20
  List after swap: [-42, -22, -54, -20, -2, -25, 30, 33, 36]
  Compare -2 and -25
  Swap -2 and -25
  List after swap: [-42, -22, -54, -20, -25, -2, 30, 33, 36]

Pass 5:
  Compare -42 and -22
  No swap needed
  Compare -22 and -54
  Swap -22 and -54
  List after swap: [-42, -54, -22, -20, -25, -2, 30, 33, 36]
  Compare -22 and -20
  No swap needed
  Compare -20 and -25
  Swap -20 and -25
  List after swap: [-42, -54, -22, -25, -20, -2, 30, 33, 36]

Pass 6:
  Compare -42 and -54
  Swap -42 and -54
  List after swap: [-54, -42, -22, -25, -20, -2, 30, 33, 36]
  Compare -42 and -22
  No swap needed
  Compare -22 and -25
  Swap -22 and -25
  List after swap: [-54, -42, -25, -22, -20, -2, 30, 33, 36]

Pass 7:
  Compare -54 and -42
  No swap needed
  Compare -42 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-54, -42, -25, -22, -20, -2, 30, 33, 36]
</think>

<response>-54, -42, -25, -22, -20, -2, 30, 33, 36</response>


input: Sort these integers 32, 40 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [32, 40]

Pass 1:
  Compare 32 and 40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [32, 40]
</think>

<response>32, 40</response>


input: Implement bubble sort on -1, -59, 21, 60 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-1, -59, 21, 60]

Pass 1:
  Compare -1 and -59
  Swap -1 and -59
  List after swap: [-59, -1, 21, 60]
  Compare -1 and 21
  No swap needed
  Compare 21 and 60
  No swap needed

Pass 2:
  Compare -59 and -1
  No swap needed
  Compare -1 and 21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, -1, 21, 60]
</think>

<response>-59, -1, 21, 60</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 42, 46, -53, 89, -2, 78, 45, 76.

output:
<think>
Initial list: [42, 46, -53, 89, -2, 78, 45, 76]

Pass 1:
  Compare 42 and 46
  No swap needed
  Compare 46 and -53
  Swap 46 and -53
  List after swap: [42, -53, 46, 89, -2, 78, 45, 76]
  Compare 46 and 89
  No swap needed
  Compare 89 and -2
  Swap 89 and -2
  List after swap: [42, -53, 46, -2, 89, 78, 45, 76]
  Compare 89 and 78
  Swap 89 and 78
  List after swap: [42, -53, 46, -2, 78, 89, 45, 76]
  Compare 89 and 45
  Swap 89 and 45
  List after swap: [42, -53, 46, -2, 78, 45, 89, 76]
  Compare 89 and 76
  Swap 89 and 76
  List after swap: [42, -53, 46, -2, 78, 45, 76, 89]

Pass 2:
  Compare 42 and -53
  Swap 42 and -53
  List after swap: [-53, 42, 46, -2, 78, 45, 76, 89]
  Compare 42 and 46
  No swap needed
  Compare 46 and -2
  Swap 46 and -2
  List after swap: [-53, 42, -2, 46, 78, 45, 76, 89]
  Compare 46 and 78
  No swap needed
  Compare 78 and 45
  Swap 78 and 45
  List after swap: [-53, 42, -2, 46, 45, 78, 76, 89]
  Compare 78 and 76
  Swap 78 and 76
  List after swap: [-53, 42, -2, 46, 45, 76, 78, 89]

Pass 3:
  Compare -53 and 42
  No swap needed
  Compare 42 and -2
  Swap 42 and -2
  List after swap: [-53, -2, 42, 46, 45, 76, 78, 89]
  Compare 42 and 46
  No swap needed
  Compare 46 and 45
  Swap 46 and 45
  List after swap: [-53, -2, 42, 45, 46, 76, 78, 89]
  Compare 46 and 76
  No swap needed

Pass 4:
  Compare -53 and -2
  No swap needed
  Compare -2 and 42
  No swap needed
  Compare 42 and 45
  No swap needed
  Compare 45 and 46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-53, -2, 42, 45, 46, 76, 78, 89]
</think>

<response>-53, -2, 42, 45, 46, 76, 78, 89</response>


input: Perform a bubble sort on the integers -43, -85, 57, 35, -65, -41, 41, -72, 93, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-43, -85, 57, 35, -65, -41, 41, -72, 93]

Pass 1:
  Compare -43 and -85
  Swap -43 and -85
  List after swap: [-85, -43, 57, 35, -65, -41, 41, -72, 93]
  Compare -43 and 57
  No swap needed
  Compare 57 and 35
  Swap 57 and 35
  List after swap: [-85, -43, 35, 57, -65, -41, 41, -72, 93]
  Compare 57 and -65
  Swap 57 and -65
  List after swap: [-85, -43, 35, -65, 57, -41, 41, -72, 93]
  Compare 57 and -41
  Swap 57 and -41
  List after swap: [-85, -43, 35, -65, -41, 57, 41, -72, 93]
  Compare 57 and 41
  Swap 57 and 41
  List after swap: [-85, -43, 35, -65, -41, 41, 57, -72, 93]
  Compare 57 and -72
  Swap 57 and -72
  List after swap: [-85, -43, 35, -65, -41, 41, -72, 57, 93]
  Compare 57 and 93
  No swap needed

Pass 2:
  Compare -85 and -43
  No swap needed
  Compare -43 and 35
  No swap needed
  Compare 35 and -65
  Swap 35 and -65
  List after swap: [-85, -43, -65, 35, -41, 41, -72, 57, 93]
  Compare 35 and -41
  Swap 35 and -41
  List after swap: [-85, -43, -65, -41, 35, 41, -72, 57, 93]
  Compare 35 and 41
  No swap needed
  Compare 41 and -72
  Swap 41 and -72
  List after swap: [-85, -43, -65, -41, 35, -72, 41, 57, 93]
  Compare 41 and 57
  No swap needed

Pass 3:
  Compare -85 and -43
  No swap needed
  Compare -43 and -65
  Swap -43 and -65
  List after swap: [-85, -65, -43, -41, 35, -72, 41, 57, 93]
  Compare -43 and -41
  No swap needed
  Compare -41 and 35
  No swap needed
  Compare 35 and -72
  Swap 35 and -72
  List after swap: [-85, -65, -43, -41, -72, 35, 41, 57, 93]
  Compare 35 and 41
  No swap needed

Pass 4:
  Compare -85 and -65
  No swap needed
  Compare -65 and -43
  No swap needed
  Compare -43 and -41
  No swap needed
  Compare -41 and -72
  Swap -41 and -72
  List after swap: [-85, -65, -43, -72, -41, 35, 41, 57, 93]
  Compare -41 and 35
  No swap needed

Pass 5:
  Compare -85 and -65
  No swap needed
  Compare -65 and -43
  No swap needed
  Compare -43 and -72
  Swap -43 and -72
  List after swap: [-85, -65, -72, -43, -41, 35, 41, 57, 93]
  Compare -43 and -41
  No swap needed

Pass 6:
  Compare -85 and -65
  No swap needed
  Compare -65 and -72
  Swap -65 and -72
  List after swap: [-85, -72, -65, -43, -41, 35, 41, 57, 93]
  Compare -65 and -43
  No swap needed

Pass 7:
  Compare -85 and -72
  No swap needed
  Compare -72 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -72, -65, -43, -41, 35, 41, 57, 93]
</think>

<response>-85, -72, -65, -43, -41, 35, 41, 57, 93</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 14, -49, 30, -85, -71, -11, -94, 53, -33.

output:
<think>
Initial list: [14, -49, 30, -85, -71, -11, -94, 53, -33]

Pass 1:
  Compare 14 and -49
  Swap 14 and -49
  List after swap: [-49, 14, 30, -85, -71, -11, -94, 53, -33]
  Compare 14 and 30
  No swap needed
  Compare 30 and -85
  Swap 30 and -85
  List after swap: [-49, 14, -85, 30, -71, -11, -94, 53, -33]
  Compare 30 and -71
  Swap 30 and -71
  List after swap: [-49, 14, -85, -71, 30, -11, -94, 53, -33]
  Compare 30 and -11
  Swap 30 and -11
  List after swap: [-49, 14, -85, -71, -11, 30, -94, 53, -33]
  Compare 30 and -94
  Swap 30 and -94
  List after swap: [-49, 14, -85, -71, -11, -94, 30, 53, -33]
  Compare 30 and 53
  No swap needed
  Compare 53 and -33
  Swap 53 and -33
  List after swap: [-49, 14, -85, -71, -11, -94, 30, -33, 53]

Pass 2:
  Compare -49 and 14
  No swap needed
  Compare 14 and -85
  Swap 14 and -85
  List after swap: [-49, -85, 14, -71, -11, -94, 30, -33, 53]
  Compare 14 and -71
  Swap 14 and -71
  List after swap: [-49, -85, -71, 14, -11, -94, 30, -33, 53]
  Compare 14 and -11
  Swap 14 and -11
  List after swap: [-49, -85, -71, -11, 14, -94, 30, -33, 53]
  Compare 14 and -94
  Swap 14 and -94
  List after swap: [-49, -85, -71, -11, -94, 14, 30, -33, 53]
  Compare 14 and 30
  No swap needed
  Compare 30 and -33
  Swap 30 and -33
  List after swap: [-49, -85, -71, -11, -94, 14, -33, 30, 53]

Pass 3:
  Compare -49 and -85
  Swap -49 and -85
  List after swap: [-85, -49, -71, -11, -94, 14, -33, 30, 53]
  Compare -49 and -71
  Swap -49 and -71
  List after swap: [-85, -71, -49, -11, -94, 14, -33, 30, 53]
  Compare -49 and -11
  No swap needed
  Compare -11 and -94
  Swap -11 and -94
  List after swap: [-85, -71, -49, -94, -11, 14, -33, 30, 53]
  Compare -11 and 14
  No swap needed
  Compare 14 and -33
  Swap 14 and -33
  List after swap: [-85, -71, -49, -94, -11, -33, 14, 30, 53]

Pass 4:
  Compare -85 and -71
  No swap needed
  Compare -71 and -49
  No swap needed
  Compare -49 and -94
  Swap -49 and -94
  List after swap: [-85, -71, -94, -49, -11, -33, 14, 30, 53]
  Compare -49 and -11
  No swap needed
  Compare -11 and -33
  Swap -11 and -33
  List after swap: [-85, -71, -94, -49, -33, -11, 14, 30, 53]

Pass 5:
  Compare -85 and -71
  No swap needed
  Compare -71 and -94
  Swap -71 and -94
  List after swap: [-85, -94, -71, -49, -33, -11, 14, 30, 53]
  Compare -71 and -49
  No swap needed
  Compare -49 and -33
  No swap needed

Pass 6:
  Compare -85 and -94
  Swap -85 and -94
  List after swap: [-94, -85, -71, -49, -33, -11, 14, 30, 53]
  Compare -85 and -71
  No swap needed
  Compare -71 and -49
  No swap needed

Pass 7:
  Compare -94 and -85
  No swap needed
  Compare -85 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -85, -71, -49, -33, -11, 14, 30, 53]
</think>

<response>-94, -85, -71, -49, -33, -11, 14, 30, 53</response>


input: Execute bubble sort to sort 53, -27, 54, -45, 44, -53, 25, 27, 47, -94 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [53, -27, 54, -45, 44, -53, 25, 27, 47, -94]

Pass 1:
  Compare 53 and -27
  Swap 53 and -27
  List after swap: [-27, 53, 54, -45, 44, -53, 25, 27, 47, -94]
  Compare 53 and 54
  No swap needed
  Compare 54 and -45
  Swap 54 and -45
  List after swap: [-27, 53, -45, 54, 44, -53, 25, 27, 47, -94]
  Compare 54 and 44
  Swap 54 and 44
  List after swap: [-27, 53, -45, 44, 54, -53, 25, 27, 47, -94]
  Compare 54 and -53
  Swap 54 and -53
  List after swap: [-27, 53, -45, 44, -53, 54, 25, 27, 47, -94]
  Compare 54 and 25
  Swap 54 and 25
  List after swap: [-27, 53, -45, 44, -53, 25, 54, 27, 47, -94]
  Compare 54 and 27
  Swap 54 and 27
  List after swap: [-27, 53, -45, 44, -53, 25, 27, 54, 47, -94]
  Compare 54 and 47
  Swap 54 and 47
  List after swap: [-27, 53, -45, 44, -53, 25, 27, 47, 54, -94]
  Compare 54 and -94
  Swap 54 and -94
  List after swap: [-27, 53, -45, 44, -53, 25, 27, 47, -94, 54]

Pass 2:
  Compare -27 and 53
  No swap needed
  Compare 53 and -45
  Swap 53 and -45
  List after swap: [-27, -45, 53, 44, -53, 25, 27, 47, -94, 54]
  Compare 53 and 44
  Swap 53 and 44
  List after swap: [-27, -45, 44, 53, -53, 25, 27, 47, -94, 54]
  Compare 53 and -53
  Swap 53 and -53
  List after swap: [-27, -45, 44, -53, 53, 25, 27, 47, -94, 54]
  Compare 53 and 25
  Swap 53 and 25
  List after swap: [-27, -45, 44, -53, 25, 53, 27, 47, -94, 54]
  Compare 53 and 27
  Swap 53 and 27
  List after swap: [-27, -45, 44, -53, 25, 27, 53, 47, -94, 54]
  Compare 53 and 47
  Swap 53 and 47
  List after swap: [-27, -45, 44, -53, 25, 27, 47, 53, -94, 54]
  Compare 53 and -94
  Swap 53 and -94
  List after swap: [-27, -45, 44, -53, 25, 27, 47, -94, 53, 54]

Pass 3:
  Compare -27 and -45
  Swap -27 and -45
  List after swap: [-45, -27, 44, -53, 25, 27, 47, -94, 53, 54]
  Compare -27 and 44
  No swap needed
  Compare 44 and -53
  Swap 44 and -53
  List after swap: [-45, -27, -53, 44, 25, 27, 47, -94, 53, 54]
  Compare 44 and 25
  Swap 44 and 25
  List after swap: [-45, -27, -53, 25, 44, 27, 47, -94, 53, 54]
  Compare 44 and 27
  Swap 44 and 27
  List after swap: [-45, -27, -53, 25, 27, 44, 47, -94, 53, 54]
  Compare 44 and 47
  No swap needed
  Compare 47 and -94
  Swap 47 and -94
  List after swap: [-45, -27, -53, 25, 27, 44, -94, 47, 53, 54]

Pass 4:
  Compare -45 and -27
  No swap needed
  Compare -27 and -53
  Swap -27 and -53
  List after swap: [-45, -53, -27, 25, 27, 44, -94, 47, 53, 54]
  Compare -27 and 25
  No swap needed
  Compare 25 and 27
  No swap needed
  Compare 27 and 44
  No swap needed
  Compare 44 and -94
  Swap 44 and -94
  List after swap: [-45, -53, -27, 25, 27, -94, 44, 47, 53, 54]

Pass 5:
  Compare -45 and -53
  Swap -45 and -53
  List after swap: [-53, -45, -27, 25, 27, -94, 44, 47, 53, 54]
  Compare -45 and -27
  No swap needed
  Compare -27 and 25
  No swap needed
  Compare 25 and 27
  No swap needed
  Compare 27 and -94
  Swap 27 and -94
  List after swap: [-53, -45, -27, 25, -94, 27, 44, 47, 53, 54]

Pass 6:
  Compare -53 and -45
  No swap needed
  Compare -45 and -27
  No swap needed
  Compare -27 and 25
  No swap needed
  Compare 25 and -94
  Swap 25 and -94
  List after swap: [-53, -45, -27, -94, 25, 27, 44, 47, 53, 54]

Pass 7:
  Compare -53 and -45
  No swap needed
  Compare -45 and -27
  No swap needed
  Compare -27 and -94
  Swap -27 and -94
  List after swap: [-53, -45, -94, -27, 25, 27, 44, 47, 53, 54]

Pass 8:
  Compare -53 and -45
  No swap needed
  Compare -45 and -94
  Swap -45 and -94
  List after swap: [-53, -94, -45, -27, 25, 27, 44, 47, 53, 54]

Pass 9:
  Compare -53 and -94
  Swap -53 and -94
  List after swap: [-94, -53, -45, -27, 25, 27, 44, 47, 53, 54]

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

Final sorted list: [-94, -53, -45, -27, 25, 27, 44, 47, 53, 54]
</think>

<response>-94, -53, -45, -27, 25, 27, 44, 47, 53, 54</response>