input: Using the bubble sort method, sort -13, -27, -91, -28, 83, -8, -19, -20, -79 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-13, -27, -91, -28, 83, -8, -19, -20, -79]

Pass 1:
  Compare -13 and -27
  Swap -13 and -27
  List after swap: [-27, -13, -91, -28, 83, -8, -19, -20, -79]
  Compare -13 and -91
  Swap -13 and -91
  List after swap: [-27, -91, -13, -28, 83, -8, -19, -20, -79]
  Compare -13 and -28
  Swap -13 and -28
  List after swap: [-27, -91, -28, -13, 83, -8, -19, -20, -79]
  Compare -13 and 83
  No swap needed
  Compare 83 and -8
  Swap 83 and -8
  List after swap: [-27, -91, -28, -13, -8, 83, -19, -20, -79]
  Compare 83 and -19
  Swap 83 and -19
  List after swap: [-27, -91, -28, -13, -8, -19, 83, -20, -79]
  Compare 83 and -20
  Swap 83 and -20
  List after swap: [-27, -91, -28, -13, -8, -19, -20, 83, -79]
  Compare 83 and -79
  Swap 83 and -79
  List after swap: [-27, -91, -28, -13, -8, -19, -20, -79, 83]

Pass 2:
  Compare -27 and -91
  Swap -27 and -91
  List after swap: [-91, -27, -28, -13, -8, -19, -20, -79, 83]
  Compare -27 and -28
  Swap -27 and -28
  List after swap: [-91, -28, -27, -13, -8, -19, -20, -79, 83]
  Compare -27 and -13
  No swap needed
  Compare -13 and -8
  No swap needed
  Compare -8 and -19
  Swap -8 and -19
  List after swap: [-91, -28, -27, -13, -19, -8, -20, -79, 83]
  Compare -8 and -20
  Swap -8 and -20
  List after swap: [-91, -28, -27, -13, -19, -20, -8, -79, 83]
  Compare -8 and -79
  Swap -8 and -79
  List after swap: [-91, -28, -27, -13, -19, -20, -79, -8, 83]

Pass 3:
  Compare -91 and -28
  No swap needed
  Compare -28 and -27
  No swap needed
  Compare -27 and -13
  No swap needed
  Compare -13 and -19
  Swap -13 and -19
  List after swap: [-91, -28, -27, -19, -13, -20, -79, -8, 83]
  Compare -13 and -20
  Swap -13 and -20
  List after swap: [-91, -28, -27, -19, -20, -13, -79, -8, 83]
  Compare -13 and -79
  Swap -13 and -79
  List after swap: [-91, -28, -27, -19, -20, -79, -13, -8, 83]

Pass 4:
  Compare -91 and -28
  No swap needed
  Compare -28 and -27
  No swap needed
  Compare -27 and -19
  No swap needed
  Compare -19 and -20
  Swap -19 and -20
  List after swap: [-91, -28, -27, -20, -19, -79, -13, -8, 83]
  Compare -19 and -79
  Swap -19 and -79
  List after swap: [-91, -28, -27, -20, -79, -19, -13, -8, 83]

Pass 5:
  Compare -91 and -28
  No swap needed
  Compare -28 and -27
  No swap needed
  Compare -27 and -20
  No swap needed
  Compare -20 and -79
  Swap -20 and -79
  List after swap: [-91, -28, -27, -79, -20, -19, -13, -8, 83]

Pass 6:
  Compare -91 and -28
  No swap needed
  Compare -28 and -27
  No swap needed
  Compare -27 and -79
  Swap -27 and -79
  List after swap: [-91, -28, -79, -27, -20, -19, -13, -8, 83]

Pass 7:
  Compare -91 and -28
  No swap needed
  Compare -28 and -79
  Swap -28 and -79
  List after swap: [-91, -79, -28, -27, -20, -19, -13, -8, 83]

Pass 8:
  Compare -91 and -79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -79, -28, -27, -20, -19, -13, -8, 83]
</think>

<response>-91, -79, -28, -27, -20, -19, -13, -8, 83</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -82, 95, -84, 15, 56, 55, -8, -67, -59, 91.

output:
<think>
Initial list: [-82, 95, -84, 15, 56, 55, -8, -67, -59, 91]

Pass 1:
  Compare -82 and 95
  No swap needed
  Compare 95 and -84
  Swap 95 and -84
  List after swap: [-82, -84, 95, 15, 56, 55, -8, -67, -59, 91]
  Compare 95 and 15
  Swap 95 and 15
  List after swap: [-82, -84, 15, 95, 56, 55, -8, -67, -59, 91]
  Compare 95 and 56
  Swap 95 and 56
  List after swap: [-82, -84, 15, 56, 95, 55, -8, -67, -59, 91]
  Compare 95 and 55
  Swap 95 and 55
  List after swap: [-82, -84, 15, 56, 55, 95, -8, -67, -59, 91]
  Compare 95 and -8
  Swap 95 and -8
  List after swap: [-82, -84, 15, 56, 55, -8, 95, -67, -59, 91]
  Compare 95 and -67
  Swap 95 and -67
  List after swap: [-82, -84, 15, 56, 55, -8, -67, 95, -59, 91]
  Compare 95 and -59
  Swap 95 and -59
  List after swap: [-82, -84, 15, 56, 55, -8, -67, -59, 95, 91]
  Compare 95 and 91
  Swap 95 and 91
  List after swap: [-82, -84, 15, 56, 55, -8, -67, -59, 91, 95]

Pass 2:
  Compare -82 and -84
  Swap -82 and -84
  List after swap: [-84, -82, 15, 56, 55, -8, -67, -59, 91, 95]
  Compare -82 and 15
  No swap needed
  Compare 15 and 56
  No swap needed
  Compare 56 and 55
  Swap 56 and 55
  List after swap: [-84, -82, 15, 55, 56, -8, -67, -59, 91, 95]
  Compare 56 and -8
  Swap 56 and -8
  List after swap: [-84, -82, 15, 55, -8, 56, -67, -59, 91, 95]
  Compare 56 and -67
  Swap 56 and -67
  List after swap: [-84, -82, 15, 55, -8, -67, 56, -59, 91, 95]
  Compare 56 and -59
  Swap 56 and -59
  List after swap: [-84, -82, 15, 55, -8, -67, -59, 56, 91, 95]
  Compare 56 and 91
  No swap needed

Pass 3:
  Compare -84 and -82
  No swap needed
  Compare -82 and 15
  No swap needed
  Compare 15 and 55
  No swap needed
  Compare 55 and -8
  Swap 55 and -8
  List after swap: [-84, -82, 15, -8, 55, -67, -59, 56, 91, 95]
  Compare 55 and -67
  Swap 55 and -67
  List after swap: [-84, -82, 15, -8, -67, 55, -59, 56, 91, 95]
  Compare 55 and -59
  Swap 55 and -59
  List after swap: [-84, -82, 15, -8, -67, -59, 55, 56, 91, 95]
  Compare 55 and 56
  No swap needed

Pass 4:
  Compare -84 and -82
  No swap needed
  Compare -82 and 15
  No swap needed
  Compare 15 and -8
  Swap 15 and -8
  List after swap: [-84, -82, -8, 15, -67, -59, 55, 56, 91, 95]
  Compare 15 and -67
  Swap 15 and -67
  List after swap: [-84, -82, -8, -67, 15, -59, 55, 56, 91, 95]
  Compare 15 and -59
  Swap 15 and -59
  List after swap: [-84, -82, -8, -67, -59, 15, 55, 56, 91, 95]
  Compare 15 and 55
  No swap needed

Pass 5:
  Compare -84 and -82
  No swap needed
  Compare -82 and -8
  No swap needed
  Compare -8 and -67
  Swap -8 and -67
  List after swap: [-84, -82, -67, -8, -59, 15, 55, 56, 91, 95]
  Compare -8 and -59
  Swap -8 and -59
  List after swap: [-84, -82, -67, -59, -8, 15, 55, 56, 91, 95]
  Compare -8 and 15
  No swap needed

Pass 6:
  Compare -84 and -82
  No swap needed
  Compare -82 and -67
  No swap needed
  Compare -67 and -59
  No swap needed
  Compare -59 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -82, -67, -59, -8, 15, 55, 56, 91, 95]
</think>

<response>-84, -82, -67, -59, -8, 15, 55, 56, 91, 95</response>


input: Execute bubble sort to sort 17, 87, 21 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [17, 87, 21]

Pass 1:
  Compare 17 and 87
  No swap needed
  Compare 87 and 21
  Swap 87 and 21
  List after swap: [17, 21, 87]

Pass 2:
  Compare 17 and 21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [17, 21, 87]
</think>

<response>17, 21, 87</response>


input: Implement bubble sort on -37, -26, 16, 73, 56, 59, -67, 12, -95, 42 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-37, -26, 16, 73, 56, 59, -67, 12, -95, 42]

Pass 1:
  Compare -37 and -26
  No swap needed
  Compare -26 and 16
  No swap needed
  Compare 16 and 73
  No swap needed
  Compare 73 and 56
  Swap 73 and 56
  List after swap: [-37, -26, 16, 56, 73, 59, -67, 12, -95, 42]
  Compare 73 and 59
  Swap 73 and 59
  List after swap: [-37, -26, 16, 56, 59, 73, -67, 12, -95, 42]
  Compare 73 and -67
  Swap 73 and -67
  List after swap: [-37, -26, 16, 56, 59, -67, 73, 12, -95, 42]
  Compare 73 and 12
  Swap 73 and 12
  List after swap: [-37, -26, 16, 56, 59, -67, 12, 73, -95, 42]
  Compare 73 and -95
  Swap 73 and -95
  List after swap: [-37, -26, 16, 56, 59, -67, 12, -95, 73, 42]
  Compare 73 and 42
  Swap 73 and 42
  List after swap: [-37, -26, 16, 56, 59, -67, 12, -95, 42, 73]

Pass 2:
  Compare -37 and -26
  No swap needed
  Compare -26 and 16
  No swap needed
  Compare 16 and 56
  No swap needed
  Compare 56 and 59
  No swap needed
  Compare 59 and -67
  Swap 59 and -67
  List after swap: [-37, -26, 16, 56, -67, 59, 12, -95, 42, 73]
  Compare 59 and 12
  Swap 59 and 12
  List after swap: [-37, -26, 16, 56, -67, 12, 59, -95, 42, 73]
  Compare 59 and -95
  Swap 59 and -95
  List after swap: [-37, -26, 16, 56, -67, 12, -95, 59, 42, 73]
  Compare 59 and 42
  Swap 59 and 42
  List after swap: [-37, -26, 16, 56, -67, 12, -95, 42, 59, 73]

Pass 3:
  Compare -37 and -26
  No swap needed
  Compare -26 and 16
  No swap needed
  Compare 16 and 56
  No swap needed
  Compare 56 and -67
  Swap 56 and -67
  List after swap: [-37, -26, 16, -67, 56, 12, -95, 42, 59, 73]
  Compare 56 and 12
  Swap 56 and 12
  List after swap: [-37, -26, 16, -67, 12, 56, -95, 42, 59, 73]
  Compare 56 and -95
  Swap 56 and -95
  List after swap: [-37, -26, 16, -67, 12, -95, 56, 42, 59, 73]
  Compare 56 and 42
  Swap 56 and 42
  List after swap: [-37, -26, 16, -67, 12, -95, 42, 56, 59, 73]

Pass 4:
  Compare -37 and -26
  No swap needed
  Compare -26 and 16
  No swap needed
  Compare 16 and -67
  Swap 16 and -67
  List after swap: [-37, -26, -67, 16, 12, -95, 42, 56, 59, 73]
  Compare 16 and 12
  Swap 16 and 12
  List after swap: [-37, -26, -67, 12, 16, -95, 42, 56, 59, 73]
  Compare 16 and -95
  Swap 16 and -95
  List after swap: [-37, -26, -67, 12, -95, 16, 42, 56, 59, 73]
  Compare 16 and 42
  No swap needed

Pass 5:
  Compare -37 and -26
  No swap needed
  Compare -26 and -67
  Swap -26 and -67
  List after swap: [-37, -67, -26, 12, -95, 16, 42, 56, 59, 73]
  Compare -26 and 12
  No swap needed
  Compare 12 and -95
  Swap 12 and -95
  List after swap: [-37, -67, -26, -95, 12, 16, 42, 56, 59, 73]
  Compare 12 and 16
  No swap needed

Pass 6:
  Compare -37 and -67
  Swap -37 and -67
  List after swap: [-67, -37, -26, -95, 12, 16, 42, 56, 59, 73]
  Compare -37 and -26
  No swap needed
  Compare -26 and -95
  Swap -26 and -95
  List after swap: [-67, -37, -95, -26, 12, 16, 42, 56, 59, 73]
  Compare -26 and 12
  No swap needed

Pass 7:
  Compare -67 and -37
  No swap needed
  Compare -37 and -95
  Swap -37 and -95
  List after swap: [-67, -95, -37, -26, 12, 16, 42, 56, 59, 73]
  Compare -37 and -26
  No swap needed

Pass 8:
  Compare -67 and -95
  Swap -67 and -95
  List after swap: [-95, -67, -37, -26, 12, 16, 42, 56, 59, 73]
  Compare -67 and -37
  No swap needed

Pass 9:
  Compare -95 and -67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -67, -37, -26, 12, 16, 42, 56, 59, 73]
</think>

<response>-95, -67, -37, -26, 12, 16, 42, 56, 59, 73</response>


input: Use the bubble sort technique to reorder 45, -55, 33, 44, -99, 19, 69, 66, -4 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [45, -55, 33, 44, -99, 19, 69, 66, -4]

Pass 1:
  Compare 45 and -55
  Swap 45 and -55
  List after swap: [-55, 45, 33, 44, -99, 19, 69, 66, -4]
  Compare 45 and 33
  Swap 45 and 33
  List after swap: [-55, 33, 45, 44, -99, 19, 69, 66, -4]
  Compare 45 and 44
  Swap 45 and 44
  List after swap: [-55, 33, 44, 45, -99, 19, 69, 66, -4]
  Compare 45 and -99
  Swap 45 and -99
  List after swap: [-55, 33, 44, -99, 45, 19, 69, 66, -4]
  Compare 45 and 19
  Swap 45 and 19
  List after swap: [-55, 33, 44, -99, 19, 45, 69, 66, -4]
  Compare 45 and 69
  No swap needed
  Compare 69 and 66
  Swap 69 and 66
  List after swap: [-55, 33, 44, -99, 19, 45, 66, 69, -4]
  Compare 69 and -4
  Swap 69 and -4
  List after swap: [-55, 33, 44, -99, 19, 45, 66, -4, 69]

Pass 2:
  Compare -55 and 33
  No swap needed
  Compare 33 and 44
  No swap needed
  Compare 44 and -99
  Swap 44 and -99
  List after swap: [-55, 33, -99, 44, 19, 45, 66, -4, 69]
  Compare 44 and 19
  Swap 44 and 19
  List after swap: [-55, 33, -99, 19, 44, 45, 66, -4, 69]
  Compare 44 and 45
  No swap needed
  Compare 45 and 66
  No swap needed
  Compare 66 and -4
  Swap 66 and -4
  List after swap: [-55, 33, -99, 19, 44, 45, -4, 66, 69]

Pass 3:
  Compare -55 and 33
  No swap needed
  Compare 33 and -99
  Swap 33 and -99
  List after swap: [-55, -99, 33, 19, 44, 45, -4, 66, 69]
  Compare 33 and 19
  Swap 33 and 19
  List after swap: [-55, -99, 19, 33, 44, 45, -4, 66, 69]
  Compare 33 and 44
  No swap needed
  Compare 44 and 45
  No swap needed
  Compare 45 and -4
  Swap 45 and -4
  List after swap: [-55, -99, 19, 33, 44, -4, 45, 66, 69]

Pass 4:
  Compare -55 and -99
  Swap -55 and -99
  List after swap: [-99, -55, 19, 33, 44, -4, 45, 66, 69]
  Compare -55 and 19
  No swap needed
  Compare 19 and 33
  No swap needed
  Compare 33 and 44
  No swap needed
  Compare 44 and -4
  Swap 44 and -4
  List after swap: [-99, -55, 19, 33, -4, 44, 45, 66, 69]

Pass 5:
  Compare -99 and -55
  No swap needed
  Compare -55 and 19
  No swap needed
  Compare 19 and 33
  No swap needed
  Compare 33 and -4
  Swap 33 and -4
  List after swap: [-99, -55, 19, -4, 33, 44, 45, 66, 69]

Pass 6:
  Compare -99 and -55
  No swap needed
  Compare -55 and 19
  No swap needed
  Compare 19 and -4
  Swap 19 and -4
  List after swap: [-99, -55, -4, 19, 33, 44, 45, 66, 69]

Pass 7:
  Compare -99 and -55
  No swap needed
  Compare -55 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -55, -4, 19, 33, 44, 45, 66, 69]
</think>

<response>-99, -55, -4, 19, 33, 44, 45, 66, 69</response>


input: Perform a bubble sort on the integers -58, -50, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-58, -50]

Pass 1:
  Compare -58 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -50]
</think>

<response>-58, -50</response>


input: Implement bubble sort on -78, -65 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-78, -65]

Pass 1:
  Compare -78 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -65]
</think>

<response>-78, -65</response>


input: Demonstrate how bubble sort orders the integers -14, -42, -38, 79 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-14, -42, -38, 79]

Pass 1:
  Compare -14 and -42
  Swap -14 and -42
  List after swap: [-42, -14, -38, 79]
  Compare -14 and -38
  Swap -14 and -38
  List after swap: [-42, -38, -14, 79]
  Compare -14 and 79
  No swap needed

Pass 2:
  Compare -42 and -38
  No swap needed
  Compare -38 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-42, -38, -14, 79]
</think>

<response>-42, -38, -14, 79</response>


input: Execute bubble sort to sort -40, 79 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-40, 79]

Pass 1:
  Compare -40 and 79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-40, 79]
</think>

<response>-40, 79</response>


input: Sort these integers -26, -97, 7, -44, -35, -93 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-26, -97, 7, -44, -35, -93]

Pass 1:
  Compare -26 and -97
  Swap -26 and -97
  List after swap: [-97, -26, 7, -44, -35, -93]
  Compare -26 and 7
  No swap needed
  Compare 7 and -44
  Swap 7 and -44
  List after swap: [-97, -26, -44, 7, -35, -93]
  Compare 7 and -35
  Swap 7 and -35
  List after swap: [-97, -26, -44, -35, 7, -93]
  Compare 7 and -93
  Swap 7 and -93
  List after swap: [-97, -26, -44, -35, -93, 7]

Pass 2:
  Compare -97 and -26
  No swap needed
  Compare -26 and -44
  Swap -26 and -44
  List after swap: [-97, -44, -26, -35, -93, 7]
  Compare -26 and -35
  Swap -26 and -35
  List after swap: [-97, -44, -35, -26, -93, 7]
  Compare -26 and -93
  Swap -26 and -93
  List after swap: [-97, -44, -35, -93, -26, 7]

Pass 3:
  Compare -97 and -44
  No swap needed
  Compare -44 and -35
  No swap needed
  Compare -35 and -93
  Swap -35 and -93
  List after swap: [-97, -44, -93, -35, -26, 7]

Pass 4:
  Compare -97 and -44
  No swap needed
  Compare -44 and -93
  Swap -44 and -93
  List after swap: [-97, -93, -44, -35, -26, 7]

Pass 5:
  Compare -97 and -93
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -93, -44, -35, -26, 7]
</think>

<response>-97, -93, -44, -35, -26, 7</response>


input: Perform a bubble sort on the integers 71, 4, 78, -81, -13, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [71, 4, 78, -81, -13]

Pass 1:
  Compare 71 and 4
  Swap 71 and 4
  List after swap: [4, 71, 78, -81, -13]
  Compare 71 and 78
  No swap needed
  Compare 78 and -81
  Swap 78 and -81
  List after swap: [4, 71, -81, 78, -13]
  Compare 78 and -13
  Swap 78 and -13
  List after swap: [4, 71, -81, -13, 78]

Pass 2:
  Compare 4 and 71
  No swap needed
  Compare 71 and -81
  Swap 71 and -81
  List after swap: [4, -81, 71, -13, 78]
  Compare 71 and -13
  Swap 71 and -13
  List after swap: [4, -81, -13, 71, 78]

Pass 3:
  Compare 4 and -81
  Swap 4 and -81
  List after swap: [-81, 4, -13, 71, 78]
  Compare 4 and -13
  Swap 4 and -13
  List after swap: [-81, -13, 4, 71, 78]

Pass 4:
  Compare -81 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -13, 4, 71, 78]
</think>

<response>-81, -13, 4, 71, 78</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -14, -75, 9, -23, -74.

output:
<think>
Initial list: [-14, -75, 9, -23, -74]

Pass 1:
  Compare -14 and -75
  Swap -14 and -75
  List after swap: [-75, -14, 9, -23, -74]
  Compare -14 and 9
  No swap needed
  Compare 9 and -23
  Swap 9 and -23
  List after swap: [-75, -14, -23, 9, -74]
  Compare 9 and -74
  Swap 9 and -74
  List after swap: [-75, -14, -23, -74, 9]

Pass 2:
  Compare -75 and -14
  No swap needed
  Compare -14 and -23
  Swap -14 and -23
  List after swap: [-75, -23, -14, -74, 9]
  Compare -14 and -74
  Swap -14 and -74
  List after swap: [-75, -23, -74, -14, 9]

Pass 3:
  Compare -75 and -23
  No swap needed
  Compare -23 and -74
  Swap -23 and -74
  List after swap: [-75, -74, -23, -14, 9]

Pass 4:
  Compare -75 and -74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -74, -23, -14, 9]
</think>

<response>-75, -74, -23, -14, 9</response>


input: Execute bubble sort to sort 69, 74 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [69, 74]

Pass 1:
  Compare 69 and 74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [69, 74]
</think>

<response>69, 74</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -3, 48, -20, 37, -52, -27, 55, -11.

output:
<think>
Initial list: [-3, 48, -20, 37, -52, -27, 55, -11]

Pass 1:
  Compare -3 and 48
  No swap needed
  Compare 48 and -20
  Swap 48 and -20
  List after swap: [-3, -20, 48, 37, -52, -27, 55, -11]
  Compare 48 and 37
  Swap 48 and 37
  List after swap: [-3, -20, 37, 48, -52, -27, 55, -11]
  Compare 48 and -52
  Swap 48 and -52
  List after swap: [-3, -20, 37, -52, 48, -27, 55, -11]
  Compare 48 and -27
  Swap 48 and -27
  List after swap: [-3, -20, 37, -52, -27, 48, 55, -11]
  Compare 48 and 55
  No swap needed
  Compare 55 and -11
  Swap 55 and -11
  List after swap: [-3, -20, 37, -52, -27, 48, -11, 55]

Pass 2:
  Compare -3 and -20
  Swap -3 and -20
  List after swap: [-20, -3, 37, -52, -27, 48, -11, 55]
  Compare -3 and 37
  No swap needed
  Compare 37 and -52
  Swap 37 and -52
  List after swap: [-20, -3, -52, 37, -27, 48, -11, 55]
  Compare 37 and -27
  Swap 37 and -27
  List after swap: [-20, -3, -52, -27, 37, 48, -11, 55]
  Compare 37 and 48
  No swap needed
  Compare 48 and -11
  Swap 48 and -11
  List after swap: [-20, -3, -52, -27, 37, -11, 48, 55]

Pass 3:
  Compare -20 and -3
  No swap needed
  Compare -3 and -52
  Swap -3 and -52
  List after swap: [-20, -52, -3, -27, 37, -11, 48, 55]
  Compare -3 and -27
  Swap -3 and -27
  List after swap: [-20, -52, -27, -3, 37, -11, 48, 55]
  Compare -3 and 37
  No swap needed
  Compare 37 and -11
  Swap 37 and -11
  List after swap: [-20, -52, -27, -3, -11, 37, 48, 55]

Pass 4:
  Compare -20 and -52
  Swap -20 and -52
  List after swap: [-52, -20, -27, -3, -11, 37, 48, 55]
  Compare -20 and -27
  Swap -20 and -27
  List after swap: [-52, -27, -20, -3, -11, 37, 48, 55]
  Compare -20 and -3
  No swap needed
  Compare -3 and -11
  Swap -3 and -11
  List after swap: [-52, -27, -20, -11, -3, 37, 48, 55]

Pass 5:
  Compare -52 and -27
  No swap needed
  Compare -27 and -20
  No swap needed
  Compare -20 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, -27, -20, -11, -3, 37, 48, 55]
</think>

<response>-52, -27, -20, -11, -3, 37, 48, 55</response>


input: Sort the list 70, 27, 95, -19 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [70, 27, 95, -19]

Pass 1:
  Compare 70 and 27
  Swap 70 and 27
  List after swap: [27, 70, 95, -19]
  Compare 70 and 95
  No swap needed
  Compare 95 and -19
  Swap 95 and -19
  List after swap: [27, 70, -19, 95]

Pass 2:
  Compare 27 and 70
  No swap needed
  Compare 70 and -19
  Swap 70 and -19
  List after swap: [27, -19, 70, 95]

Pass 3:
  Compare 27 and -19
  Swap 27 and -19
  List after swap: [-19, 27, 70, 95]

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

Final sorted list: [-19, 27, 70, 95]
</think>

<response>-19, 27, 70, 95</response>


input: Sort the list -33, -25, 54, 74 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-33, -25, 54, 74]

Pass 1:
  Compare -33 and -25
  No swap needed
  Compare -25 and 54
  No swap needed
  Compare 54 and 74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-33, -25, 54, 74]
</think>

<response>-33, -25, 54, 74</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -9, 93.

output:
<think>
Initial list: [-9, 93]

Pass 1:
  Compare -9 and 93
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-9, 93]
</think>

<response>-9, 93</response>


input: Demonstrate how bubble sort orders the integers -43, 19, 18, -12, 7, -15, -29 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-43, 19, 18, -12, 7, -15, -29]

Pass 1:
  Compare -43 and 19
  No swap needed
  Compare 19 and 18
  Swap 19 and 18
  List after swap: [-43, 18, 19, -12, 7, -15, -29]
  Compare 19 and -12
  Swap 19 and -12
  List after swap: [-43, 18, -12, 19, 7, -15, -29]
  Compare 19 and 7
  Swap 19 and 7
  List after swap: [-43, 18, -12, 7, 19, -15, -29]
  Compare 19 and -15
  Swap 19 and -15
  List after swap: [-43, 18, -12, 7, -15, 19, -29]
  Compare 19 and -29
  Swap 19 and -29
  List after swap: [-43, 18, -12, 7, -15, -29, 19]

Pass 2:
  Compare -43 and 18
  No swap needed
  Compare 18 and -12
  Swap 18 and -12
  List after swap: [-43, -12, 18, 7, -15, -29, 19]
  Compare 18 and 7
  Swap 18 and 7
  List after swap: [-43, -12, 7, 18, -15, -29, 19]
  Compare 18 and -15
  Swap 18 and -15
  List after swap: [-43, -12, 7, -15, 18, -29, 19]
  Compare 18 and -29
  Swap 18 and -29
  List after swap: [-43, -12, 7, -15, -29, 18, 19]

Pass 3:
  Compare -43 and -12
  No swap needed
  Compare -12 and 7
  No swap needed
  Compare 7 and -15
  Swap 7 and -15
  List after swap: [-43, -12, -15, 7, -29, 18, 19]
  Compare 7 and -29
  Swap 7 and -29
  List after swap: [-43, -12, -15, -29, 7, 18, 19]

Pass 4:
  Compare -43 and -12
  No swap needed
  Compare -12 and -15
  Swap -12 and -15
  List after swap: [-43, -15, -12, -29, 7, 18, 19]
  Compare -12 and -29
  Swap -12 and -29
  List after swap: [-43, -15, -29, -12, 7, 18, 19]

Pass 5:
  Compare -43 and -15
  No swap needed
  Compare -15 and -29
  Swap -15 and -29
  List after swap: [-43, -29, -15, -12, 7, 18, 19]

Pass 6:
  Compare -43 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-43, -29, -15, -12, 7, 18, 19]
</think>

<response>-43, -29, -15, -12, 7, 18, 19</response>


input: Perform a bubble sort on the integers -48, -97, -62, 85, -53, 40, -30, -50, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-48, -97, -62, 85, -53, 40, -30, -50]

Pass 1:
  Compare -48 and -97
  Swap -48 and -97
  List after swap: [-97, -48, -62, 85, -53, 40, -30, -50]
  Compare -48 and -62
  Swap -48 and -62
  List after swap: [-97, -62, -48, 85, -53, 40, -30, -50]
  Compare -48 and 85
  No swap needed
  Compare 85 and -53
  Swap 85 and -53
  List after swap: [-97, -62, -48, -53, 85, 40, -30, -50]
  Compare 85 and 40
  Swap 85 and 40
  List after swap: [-97, -62, -48, -53, 40, 85, -30, -50]
  Compare 85 and -30
  Swap 85 and -30
  List after swap: [-97, -62, -48, -53, 40, -30, 85, -50]
  Compare 85 and -50
  Swap 85 and -50
  List after swap: [-97, -62, -48, -53, 40, -30, -50, 85]

Pass 2:
  Compare -97 and -62
  No swap needed
  Compare -62 and -48
  No swap needed
  Compare -48 and -53
  Swap -48 and -53
  List after swap: [-97, -62, -53, -48, 40, -30, -50, 85]
  Compare -48 and 40
  No swap needed
  Compare 40 and -30
  Swap 40 and -30
  List after swap: [-97, -62, -53, -48, -30, 40, -50, 85]
  Compare 40 and -50
  Swap 40 and -50
  List after swap: [-97, -62, -53, -48, -30, -50, 40, 85]

Pass 3:
  Compare -97 and -62
  No swap needed
  Compare -62 and -53
  No swap needed
  Compare -53 and -48
  No swap needed
  Compare -48 and -30
  No swap needed
  Compare -30 and -50
  Swap -30 and -50
  List after swap: [-97, -62, -53, -48, -50, -30, 40, 85]

Pass 4:
  Compare -97 and -62
  No swap needed
  Compare -62 and -53
  No swap needed
  Compare -53 and -48
  No swap needed
  Compare -48 and -50
  Swap -48 and -50
  List after swap: [-97, -62, -53, -50, -48, -30, 40, 85]

Pass 5:
  Compare -97 and -62
  No swap needed
  Compare -62 and -53
  No swap needed
  Compare -53 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -62, -53, -50, -48, -30, 40, 85]
</think>

<response>-97, -62, -53, -50, -48, -30, 40, 85</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -53, 10, -58.

output:
<think>
Initial list: [-53, 10, -58]

Pass 1:
  Compare -53 and 10
  No swap needed
  Compare 10 and -58
  Swap 10 and -58
  List after swap: [-53, -58, 10]

Pass 2:
  Compare -53 and -58
  Swap -53 and -58
  List after swap: [-58, -53, 10]

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

Final sorted list: [-58, -53, 10]
</think>

<response>-58, -53, 10</response>


input: Sort these integers -41, 47, -98, 97, -60 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-41, 47, -98, 97, -60]

Pass 1:
  Compare -41 and 47
  No swap needed
  Compare 47 and -98
  Swap 47 and -98
  List after swap: [-41, -98, 47, 97, -60]
  Compare 47 and 97
  No swap needed
  Compare 97 and -60
  Swap 97 and -60
  List after swap: [-41, -98, 47, -60, 97]

Pass 2:
  Compare -41 and -98
  Swap -41 and -98
  List after swap: [-98, -41, 47, -60, 97]
  Compare -41 and 47
  No swap needed
  Compare 47 and -60
  Swap 47 and -60
  List after swap: [-98, -41, -60, 47, 97]

Pass 3:
  Compare -98 and -41
  No swap needed
  Compare -41 and -60
  Swap -41 and -60
  List after swap: [-98, -60, -41, 47, 97]

Pass 4:
  Compare -98 and -60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -60, -41, 47, 97]
</think>

<response>-98, -60, -41, 47, 97</response>


input: Carry out the bubble sort algorithm on 92, -43, -74, -34, 41, -42, -68, 20, 0, 42 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [92, -43, -74, -34, 41, -42, -68, 20, 0, 42]

Pass 1:
  Compare 92 and -43
  Swap 92 and -43
  List after swap: [-43, 92, -74, -34, 41, -42, -68, 20, 0, 42]
  Compare 92 and -74
  Swap 92 and -74
  List after swap: [-43, -74, 92, -34, 41, -42, -68, 20, 0, 42]
  Compare 92 and -34
  Swap 92 and -34
  List after swap: [-43, -74, -34, 92, 41, -42, -68, 20, 0, 42]
  Compare 92 and 41
  Swap 92 and 41
  List after swap: [-43, -74, -34, 41, 92, -42, -68, 20, 0, 42]
  Compare 92 and -42
  Swap 92 and -42
  List after swap: [-43, -74, -34, 41, -42, 92, -68, 20, 0, 42]
  Compare 92 and -68
  Swap 92 and -68
  List after swap: [-43, -74, -34, 41, -42, -68, 92, 20, 0, 42]
  Compare 92 and 20
  Swap 92 and 20
  List after swap: [-43, -74, -34, 41, -42, -68, 20, 92, 0, 42]
  Compare 92 and 0
  Swap 92 and 0
  List after swap: [-43, -74, -34, 41, -42, -68, 20, 0, 92, 42]
  Compare 92 and 42
  Swap 92 and 42
  List after swap: [-43, -74, -34, 41, -42, -68, 20, 0, 42, 92]

Pass 2:
  Compare -43 and -74
  Swap -43 and -74
  List after swap: [-74, -43, -34, 41, -42, -68, 20, 0, 42, 92]
  Compare -43 and -34
  No swap needed
  Compare -34 and 41
  No swap needed
  Compare 41 and -42
  Swap 41 and -42
  List after swap: [-74, -43, -34, -42, 41, -68, 20, 0, 42, 92]
  Compare 41 and -68
  Swap 41 and -68
  List after swap: [-74, -43, -34, -42, -68, 41, 20, 0, 42, 92]
  Compare 41 and 20
  Swap 41 and 20
  List after swap: [-74, -43, -34, -42, -68, 20, 41, 0, 42, 92]
  Compare 41 and 0
  Swap 41 and 0
  List after swap: [-74, -43, -34, -42, -68, 20, 0, 41, 42, 92]
  Compare 41 and 42
  No swap needed

Pass 3:
  Compare -74 and -43
  No swap needed
  Compare -43 and -34
  No swap needed
  Compare -34 and -42
  Swap -34 and -42
  List after swap: [-74, -43, -42, -34, -68, 20, 0, 41, 42, 92]
  Compare -34 and -68
  Swap -34 and -68
  List after swap: [-74, -43, -42, -68, -34, 20, 0, 41, 42, 92]
  Compare -34 and 20
  No swap needed
  Compare 20 and 0
  Swap 20 and 0
  List after swap: [-74, -43, -42, -68, -34, 0, 20, 41, 42, 92]
  Compare 20 and 41
  No swap needed

Pass 4:
  Compare -74 and -43
  No swap needed
  Compare -43 and -42
  No swap needed
  Compare -42 and -68
  Swap -42 and -68
  List after swap: [-74, -43, -68, -42, -34, 0, 20, 41, 42, 92]
  Compare -42 and -34
  No swap needed
  Compare -34 and 0
  No swap needed
  Compare 0 and 20
  No swap needed

Pass 5:
  Compare -74 and -43
  No swap needed
  Compare -43 and -68
  Swap -43 and -68
  List after swap: [-74, -68, -43, -42, -34, 0, 20, 41, 42, 92]
  Compare -43 and -42
  No swap needed
  Compare -42 and -34
  No swap needed
  Compare -34 and 0
  No swap needed

Pass 6:
  Compare -74 and -68
  No swap needed
  Compare -68 and -43
  No swap needed
  Compare -43 and -42
  No swap needed
  Compare -42 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -68, -43, -42, -34, 0, 20, 41, 42, 92]
</think>

<response>-74, -68, -43, -42, -34, 0, 20, 41, 42, 92</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -15, 4.

output:
<think>
Initial list: [-15, 4]

Pass 1:
  Compare -15 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-15, 4]
</think>

<response>-15, 4</response>


input: Implement bubble sort on 24, 45, -39, 7, 9 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [24, 45, -39, 7, 9]

Pass 1:
  Compare 24 and 45
  No swap needed
  Compare 45 and -39
  Swap 45 and -39
  List after swap: [24, -39, 45, 7, 9]
  Compare 45 and 7
  Swap 45 and 7
  List after swap: [24, -39, 7, 45, 9]
  Compare 45 and 9
  Swap 45 and 9
  List after swap: [24, -39, 7, 9, 45]

Pass 2:
  Compare 24 and -39
  Swap 24 and -39
  List after swap: [-39, 24, 7, 9, 45]
  Compare 24 and 7
  Swap 24 and 7
  List after swap: [-39, 7, 24, 9, 45]
  Compare 24 and 9
  Swap 24 and 9
  List after swap: [-39, 7, 9, 24, 45]

Pass 3:
  Compare -39 and 7
  No swap needed
  Compare 7 and 9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-39, 7, 9, 24, 45]
</think>

<response>-39, 7, 9, 24, 45</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -88, -28, -65, -36, 43, 87.

output:
<think>
Initial list: [-88, -28, -65, -36, 43, 87]

Pass 1:
  Compare -88 and -28
  No swap needed
  Compare -28 and -65
  Swap -28 and -65
  List after swap: [-88, -65, -28, -36, 43, 87]
  Compare -28 and -36
  Swap -28 and -36
  List after swap: [-88, -65, -36, -28, 43, 87]
  Compare -28 and 43
  No swap needed
  Compare 43 and 87
  No swap needed

Pass 2:
  Compare -88 and -65
  No swap needed
  Compare -65 and -36
  No swap needed
  Compare -36 and -28
  No swap needed
  Compare -28 and 43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -65, -36, -28, 43, 87]
</think>

<response>-88, -65, -36, -28, 43, 87</response>


input: Using the bubble sort method, sort -92, 22 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-92, 22]

Pass 1:
  Compare -92 and 22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, 22]
</think>

<response>-92, 22</response>


input: Arrange the numbers 66, -15 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [66, -15]

Pass 1:
  Compare 66 and -15
  Swap 66 and -15
  List after swap: [-15, 66]

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

Final sorted list: [-15, 66]
</think>

<response>-15, 66</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 9, 96, 35, 85, -95, -51, -57, 16, -26.

output:
<think>
Initial list: [9, 96, 35, 85, -95, -51, -57, 16, -26]

Pass 1:
  Compare 9 and 96
  No swap needed
  Compare 96 and 35
  Swap 96 and 35
  List after swap: [9, 35, 96, 85, -95, -51, -57, 16, -26]
  Compare 96 and 85
  Swap 96 and 85
  List after swap: [9, 35, 85, 96, -95, -51, -57, 16, -26]
  Compare 96 and -95
  Swap 96 and -95
  List after swap: [9, 35, 85, -95, 96, -51, -57, 16, -26]
  Compare 96 and -51
  Swap 96 and -51
  List after swap: [9, 35, 85, -95, -51, 96, -57, 16, -26]
  Compare 96 and -57
  Swap 96 and -57
  List after swap: [9, 35, 85, -95, -51, -57, 96, 16, -26]
  Compare 96 and 16
  Swap 96 and 16
  List after swap: [9, 35, 85, -95, -51, -57, 16, 96, -26]
  Compare 96 and -26
  Swap 96 and -26
  List after swap: [9, 35, 85, -95, -51, -57, 16, -26, 96]

Pass 2:
  Compare 9 and 35
  No swap needed
  Compare 35 and 85
  No swap needed
  Compare 85 and -95
  Swap 85 and -95
  List after swap: [9, 35, -95, 85, -51, -57, 16, -26, 96]
  Compare 85 and -51
  Swap 85 and -51
  List after swap: [9, 35, -95, -51, 85, -57, 16, -26, 96]
  Compare 85 and -57
  Swap 85 and -57
  List after swap: [9, 35, -95, -51, -57, 85, 16, -26, 96]
  Compare 85 and 16
  Swap 85 and 16
  List after swap: [9, 35, -95, -51, -57, 16, 85, -26, 96]
  Compare 85 and -26
  Swap 85 and -26
  List after swap: [9, 35, -95, -51, -57, 16, -26, 85, 96]

Pass 3:
  Compare 9 and 35
  No swap needed
  Compare 35 and -95
  Swap 35 and -95
  List after swap: [9, -95, 35, -51, -57, 16, -26, 85, 96]
  Compare 35 and -51
  Swap 35 and -51
  List after swap: [9, -95, -51, 35, -57, 16, -26, 85, 96]
  Compare 35 and -57
  Swap 35 and -57
  List after swap: [9, -95, -51, -57, 35, 16, -26, 85, 96]
  Compare 35 and 16
  Swap 35 and 16
  List after swap: [9, -95, -51, -57, 16, 35, -26, 85, 96]
  Compare 35 and -26
  Swap 35 and -26
  List after swap: [9, -95, -51, -57, 16, -26, 35, 85, 96]

Pass 4:
  Compare 9 and -95
  Swap 9 and -95
  List after swap: [-95, 9, -51, -57, 16, -26, 35, 85, 96]
  Compare 9 and -51
  Swap 9 and -51
  List after swap: [-95, -51, 9, -57, 16, -26, 35, 85, 96]
  Compare 9 and -57
  Swap 9 and -57
  List after swap: [-95, -51, -57, 9, 16, -26, 35, 85, 96]
  Compare 9 and 16
  No swap needed
  Compare 16 and -26
  Swap 16 and -26
  List after swap: [-95, -51, -57, 9, -26, 16, 35, 85, 96]

Pass 5:
  Compare -95 and -51
  No swap needed
  Compare -51 and -57
  Swap -51 and -57
  List after swap: [-95, -57, -51, 9, -26, 16, 35, 85, 96]
  Compare -51 and 9
  No swap needed
  Compare 9 and -26
  Swap 9 and -26
  List after swap: [-95, -57, -51, -26, 9, 16, 35, 85, 96]

Pass 6:
  Compare -95 and -57
  No swap needed
  Compare -57 and -51
  No swap needed
  Compare -51 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -57, -51, -26, 9, 16, 35, 85, 96]
</think>

<response>-95, -57, -51, -26, 9, 16, 35, 85, 96</response>


input: Execute bubble sort to sort 39, 5, -79, 95, -94, -76, 16, 74, 36, 18 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [39, 5, -79, 95, -94, -76, 16, 74, 36, 18]

Pass 1:
  Compare 39 and 5
  Swap 39 and 5
  List after swap: [5, 39, -79, 95, -94, -76, 16, 74, 36, 18]
  Compare 39 and -79
  Swap 39 and -79
  List after swap: [5, -79, 39, 95, -94, -76, 16, 74, 36, 18]
  Compare 39 and 95
  No swap needed
  Compare 95 and -94
  Swap 95 and -94
  List after swap: [5, -79, 39, -94, 95, -76, 16, 74, 36, 18]
  Compare 95 and -76
  Swap 95 and -76
  List after swap: [5, -79, 39, -94, -76, 95, 16, 74, 36, 18]
  Compare 95 and 16
  Swap 95 and 16
  List after swap: [5, -79, 39, -94, -76, 16, 95, 74, 36, 18]
  Compare 95 and 74
  Swap 95 and 74
  List after swap: [5, -79, 39, -94, -76, 16, 74, 95, 36, 18]
  Compare 95 and 36
  Swap 95 and 36
  List after swap: [5, -79, 39, -94, -76, 16, 74, 36, 95, 18]
  Compare 95 and 18
  Swap 95 and 18
  List after swap: [5, -79, 39, -94, -76, 16, 74, 36, 18, 95]

Pass 2:
  Compare 5 and -79
  Swap 5 and -79
  List after swap: [-79, 5, 39, -94, -76, 16, 74, 36, 18, 95]
  Compare 5 and 39
  No swap needed
  Compare 39 and -94
  Swap 39 and -94
  List after swap: [-79, 5, -94, 39, -76, 16, 74, 36, 18, 95]
  Compare 39 and -76
  Swap 39 and -76
  List after swap: [-79, 5, -94, -76, 39, 16, 74, 36, 18, 95]
  Compare 39 and 16
  Swap 39 and 16
  List after swap: [-79, 5, -94, -76, 16, 39, 74, 36, 18, 95]
  Compare 39 and 74
  No swap needed
  Compare 74 and 36
  Swap 74 and 36
  List after swap: [-79, 5, -94, -76, 16, 39, 36, 74, 18, 95]
  Compare 74 and 18
  Swap 74 and 18
  List after swap: [-79, 5, -94, -76, 16, 39, 36, 18, 74, 95]

Pass 3:
  Compare -79 and 5
  No swap needed
  Compare 5 and -94
  Swap 5 and -94
  List after swap: [-79, -94, 5, -76, 16, 39, 36, 18, 74, 95]
  Compare 5 and -76
  Swap 5 and -76
  List after swap: [-79, -94, -76, 5, 16, 39, 36, 18, 74, 95]
  Compare 5 and 16
  No swap needed
  Compare 16 and 39
  No swap needed
  Compare 39 and 36
  Swap 39 and 36
  List after swap: [-79, -94, -76, 5, 16, 36, 39, 18, 74, 95]
  Compare 39 and 18
  Swap 39 and 18
  List after swap: [-79, -94, -76, 5, 16, 36, 18, 39, 74, 95]

Pass 4:
  Compare -79 and -94
  Swap -79 and -94
  List after swap: [-94, -79, -76, 5, 16, 36, 18, 39, 74, 95]
  Compare -79 and -76
  No swap needed
  Compare -76 and 5
  No swap needed
  Compare 5 and 16
  No swap needed
  Compare 16 and 36
  No swap needed
  Compare 36 and 18
  Swap 36 and 18
  List after swap: [-94, -79, -76, 5, 16, 18, 36, 39, 74, 95]

Pass 5:
  Compare -94 and -79
  No swap needed
  Compare -79 and -76
  No swap needed
  Compare -76 and 5
  No swap needed
  Compare 5 and 16
  No swap needed
  Compare 16 and 18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -79, -76, 5, 16, 18, 36, 39, 74, 95]
</think>

<response>-94, -79, -76, 5, 16, 18, 36, 39, 74, 95</response>


input: Sort the list 51, -13, 72, 62, -22, -86, -61, 56, -3 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [51, -13, 72, 62, -22, -86, -61, 56, -3]

Pass 1:
  Compare 51 and -13
  Swap 51 and -13
  List after swap: [-13, 51, 72, 62, -22, -86, -61, 56, -3]
  Compare 51 and 72
  No swap needed
  Compare 72 and 62
  Swap 72 and 62
  List after swap: [-13, 51, 62, 72, -22, -86, -61, 56, -3]
  Compare 72 and -22
  Swap 72 and -22
  List after swap: [-13, 51, 62, -22, 72, -86, -61, 56, -3]
  Compare 72 and -86
  Swap 72 and -86
  List after swap: [-13, 51, 62, -22, -86, 72, -61, 56, -3]
  Compare 72 and -61
  Swap 72 and -61
  List after swap: [-13, 51, 62, -22, -86, -61, 72, 56, -3]
  Compare 72 and 56
  Swap 72 and 56
  List after swap: [-13, 51, 62, -22, -86, -61, 56, 72, -3]
  Compare 72 and -3
  Swap 72 and -3
  List after swap: [-13, 51, 62, -22, -86, -61, 56, -3, 72]

Pass 2:
  Compare -13 and 51
  No swap needed
  Compare 51 and 62
  No swap needed
  Compare 62 and -22
  Swap 62 and -22
  List after swap: [-13, 51, -22, 62, -86, -61, 56, -3, 72]
  Compare 62 and -86
  Swap 62 and -86
  List after swap: [-13, 51, -22, -86, 62, -61, 56, -3, 72]
  Compare 62 and -61
  Swap 62 and -61
  List after swap: [-13, 51, -22, -86, -61, 62, 56, -3, 72]
  Compare 62 and 56
  Swap 62 and 56
  List after swap: [-13, 51, -22, -86, -61, 56, 62, -3, 72]
  Compare 62 and -3
  Swap 62 and -3
  List after swap: [-13, 51, -22, -86, -61, 56, -3, 62, 72]

Pass 3:
  Compare -13 and 51
  No swap needed
  Compare 51 and -22
  Swap 51 and -22
  List after swap: [-13, -22, 51, -86, -61, 56, -3, 62, 72]
  Compare 51 and -86
  Swap 51 and -86
  List after swap: [-13, -22, -86, 51, -61, 56, -3, 62, 72]
  Compare 51 and -61
  Swap 51 and -61
  List after swap: [-13, -22, -86, -61, 51, 56, -3, 62, 72]
  Compare 51 and 56
  No swap needed
  Compare 56 and -3
  Swap 56 and -3
  List after swap: [-13, -22, -86, -61, 51, -3, 56, 62, 72]

Pass 4:
  Compare -13 and -22
  Swap -13 and -22
  List after swap: [-22, -13, -86, -61, 51, -3, 56, 62, 72]
  Compare -13 and -86
  Swap -13 and -86
  List after swap: [-22, -86, -13, -61, 51, -3, 56, 62, 72]
  Compare -13 and -61
  Swap -13 and -61
  List after swap: [-22, -86, -61, -13, 51, -3, 56, 62, 72]
  Compare -13 and 51
  No swap needed
  Compare 51 and -3
  Swap 51 and -3
  List after swap: [-22, -86, -61, -13, -3, 51, 56, 62, 72]

Pass 5:
  Compare -22 and -86
  Swap -22 and -86
  List after swap: [-86, -22, -61, -13, -3, 51, 56, 62, 72]
  Compare -22 and -61
  Swap -22 and -61
  List after swap: [-86, -61, -22, -13, -3, 51, 56, 62, 72]
  Compare -22 and -13
  No swap needed
  Compare -13 and -3
  No swap needed

Pass 6:
  Compare -86 and -61
  No swap needed
  Compare -61 and -22
  No swap needed
  Compare -22 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -61, -22, -13, -3, 51, 56, 62, 72]
</think>

<response>-86, -61, -22, -13, -3, 51, 56, 62, 72</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -51, 59, -9, -65, 61, 19, -97, 77.

output:
<think>
Initial list: [-51, 59, -9, -65, 61, 19, -97, 77]

Pass 1:
  Compare -51 and 59
  No swap needed
  Compare 59 and -9
  Swap 59 and -9
  List after swap: [-51, -9, 59, -65, 61, 19, -97, 77]
  Compare 59 and -65
  Swap 59 and -65
  List after swap: [-51, -9, -65, 59, 61, 19, -97, 77]
  Compare 59 and 61
  No swap needed
  Compare 61 and 19
  Swap 61 and 19
  List after swap: [-51, -9, -65, 59, 19, 61, -97, 77]
  Compare 61 and -97
  Swap 61 and -97
  List after swap: [-51, -9, -65, 59, 19, -97, 61, 77]
  Compare 61 and 77
  No swap needed

Pass 2:
  Compare -51 and -9
  No swap needed
  Compare -9 and -65
  Swap -9 and -65
  List after swap: [-51, -65, -9, 59, 19, -97, 61, 77]
  Compare -9 and 59
  No swap needed
  Compare 59 and 19
  Swap 59 and 19
  List after swap: [-51, -65, -9, 19, 59, -97, 61, 77]
  Compare 59 and -97
  Swap 59 and -97
  List after swap: [-51, -65, -9, 19, -97, 59, 61, 77]
  Compare 59 and 61
  No swap needed

Pass 3:
  Compare -51 and -65
  Swap -51 and -65
  List after swap: [-65, -51, -9, 19, -97, 59, 61, 77]
  Compare -51 and -9
  No swap needed
  Compare -9 and 19
  No swap needed
  Compare 19 and -97
  Swap 19 and -97
  List after swap: [-65, -51, -9, -97, 19, 59, 61, 77]
  Compare 19 and 59
  No swap needed

Pass 4:
  Compare -65 and -51
  No swap needed
  Compare -51 and -9
  No swap needed
  Compare -9 and -97
  Swap -9 and -97
  List after swap: [-65, -51, -97, -9, 19, 59, 61, 77]
  Compare -9 and 19
  No swap needed

Pass 5:
  Compare -65 and -51
  No swap needed
  Compare -51 and -97
  Swap -51 and -97
  List after swap: [-65, -97, -51, -9, 19, 59, 61, 77]
  Compare -51 and -9
  No swap needed

Pass 6:
  Compare -65 and -97
  Swap -65 and -97
  List after swap: [-97, -65, -51, -9, 19, 59, 61, 77]
  Compare -65 and -51
  No swap needed

Pass 7:
  Compare -97 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -65, -51, -9, 19, 59, 61, 77]
</think>

<response>-97, -65, -51, -9, 19, 59, 61, 77</response>


input: Sort these integers 48, 40, -26, -32, -51, 35 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [48, 40, -26, -32, -51, 35]

Pass 1:
  Compare 48 and 40
  Swap 48 and 40
  List after swap: [40, 48, -26, -32, -51, 35]
  Compare 48 and -26
  Swap 48 and -26
  List after swap: [40, -26, 48, -32, -51, 35]
  Compare 48 and -32
  Swap 48 and -32
  List after swap: [40, -26, -32, 48, -51, 35]
  Compare 48 and -51
  Swap 48 and -51
  List after swap: [40, -26, -32, -51, 48, 35]
  Compare 48 and 35
  Swap 48 and 35
  List after swap: [40, -26, -32, -51, 35, 48]

Pass 2:
  Compare 40 and -26
  Swap 40 and -26
  List after swap: [-26, 40, -32, -51, 35, 48]
  Compare 40 and -32
  Swap 40 and -32
  List after swap: [-26, -32, 40, -51, 35, 48]
  Compare 40 and -51
  Swap 40 and -51
  List after swap: [-26, -32, -51, 40, 35, 48]
  Compare 40 and 35
  Swap 40 and 35
  List after swap: [-26, -32, -51, 35, 40, 48]

Pass 3:
  Compare -26 and -32
  Swap -26 and -32
  List after swap: [-32, -26, -51, 35, 40, 48]
  Compare -26 and -51
  Swap -26 and -51
  List after swap: [-32, -51, -26, 35, 40, 48]
  Compare -26 and 35
  No swap needed

Pass 4:
  Compare -32 and -51
  Swap -32 and -51
  List after swap: [-51, -32, -26, 35, 40, 48]
  Compare -32 and -26
  No swap needed

Pass 5:
  Compare -51 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-51, -32, -26, 35, 40, 48]
</think>

<response>-51, -32, -26, 35, 40, 48</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 55, -48, 41, 63, 58, 79, -43, -96, 68.

output:
<think>
Initial list: [55, -48, 41, 63, 58, 79, -43, -96, 68]

Pass 1:
  Compare 55 and -48
  Swap 55 and -48
  List after swap: [-48, 55, 41, 63, 58, 79, -43, -96, 68]
  Compare 55 and 41
  Swap 55 and 41
  List after swap: [-48, 41, 55, 63, 58, 79, -43, -96, 68]
  Compare 55 and 63
  No swap needed
  Compare 63 and 58
  Swap 63 and 58
  List after swap: [-48, 41, 55, 58, 63, 79, -43, -96, 68]
  Compare 63 and 79
  No swap needed
  Compare 79 and -43
  Swap 79 and -43
  List after swap: [-48, 41, 55, 58, 63, -43, 79, -96, 68]
  Compare 79 and -96
  Swap 79 and -96
  List after swap: [-48, 41, 55, 58, 63, -43, -96, 79, 68]
  Compare 79 and 68
  Swap 79 and 68
  List after swap: [-48, 41, 55, 58, 63, -43, -96, 68, 79]

Pass 2:
  Compare -48 and 41
  No swap needed
  Compare 41 and 55
  No swap needed
  Compare 55 and 58
  No swap needed
  Compare 58 and 63
  No swap needed
  Compare 63 and -43
  Swap 63 and -43
  List after swap: [-48, 41, 55, 58, -43, 63, -96, 68, 79]
  Compare 63 and -96
  Swap 63 and -96
  List after swap: [-48, 41, 55, 58, -43, -96, 63, 68, 79]
  Compare 63 and 68
  No swap needed

Pass 3:
  Compare -48 and 41
  No swap needed
  Compare 41 and 55
  No swap needed
  Compare 55 and 58
  No swap needed
  Compare 58 and -43
  Swap 58 and -43
  List after swap: [-48, 41, 55, -43, 58, -96, 63, 68, 79]
  Compare 58 and -96
  Swap 58 and -96
  List after swap: [-48, 41, 55, -43, -96, 58, 63, 68, 79]
  Compare 58 and 63
  No swap needed

Pass 4:
  Compare -48 and 41
  No swap needed
  Compare 41 and 55
  No swap needed
  Compare 55 and -43
  Swap 55 and -43
  List after swap: [-48, 41, -43, 55, -96, 58, 63, 68, 79]
  Compare 55 and -96
  Swap 55 and -96
  List after swap: [-48, 41, -43, -96, 55, 58, 63, 68, 79]
  Compare 55 and 58
  No swap needed

Pass 5:
  Compare -48 and 41
  No swap needed
  Compare 41 and -43
  Swap 41 and -43
  List after swap: [-48, -43, 41, -96, 55, 58, 63, 68, 79]
  Compare 41 and -96
  Swap 41 and -96
  List after swap: [-48, -43, -96, 41, 55, 58, 63, 68, 79]
  Compare 41 and 55
  No swap needed

Pass 6:
  Compare -48 and -43
  No swap needed
  Compare -43 and -96
  Swap -43 and -96
  List after swap: [-48, -96, -43, 41, 55, 58, 63, 68, 79]
  Compare -43 and 41
  No swap needed

Pass 7:
  Compare -48 and -96
  Swap -48 and -96
  List after swap: [-96, -48, -43, 41, 55, 58, 63, 68, 79]
  Compare -48 and -43
  No swap needed

Pass 8:
  Compare -96 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -48, -43, 41, 55, 58, 63, 68, 79]
</think>

<response>-96, -48, -43, 41, 55, 58, 63, 68, 79</response>


input: Execute bubble sort to sort -44, 10, 78, 90 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-44, 10, 78, 90]

Pass 1:
  Compare -44 and 10
  No swap needed
  Compare 10 and 78
  No swap needed
  Compare 78 and 90
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-44, 10, 78, 90]
</think>

<response>-44, 10, 78, 90</response>


input: Implement bubble sort on -52, -49 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-52, -49]

Pass 1:
  Compare -52 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, -49]
</think>

<response>-52, -49</response>


input: Use the bubble sort technique to reorder 23, 93, -1, -31, -58, 76 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [23, 93, -1, -31, -58, 76]

Pass 1:
  Compare 23 and 93
  No swap needed
  Compare 93 and -1
  Swap 93 and -1
  List after swap: [23, -1, 93, -31, -58, 76]
  Compare 93 and -31
  Swap 93 and -31
  List after swap: [23, -1, -31, 93, -58, 76]
  Compare 93 and -58
  Swap 93 and -58
  List after swap: [23, -1, -31, -58, 93, 76]
  Compare 93 and 76
  Swap 93 and 76
  List after swap: [23, -1, -31, -58, 76, 93]

Pass 2:
  Compare 23 and -1
  Swap 23 and -1
  List after swap: [-1, 23, -31, -58, 76, 93]
  Compare 23 and -31
  Swap 23 and -31
  List after swap: [-1, -31, 23, -58, 76, 93]
  Compare 23 and -58
  Swap 23 and -58
  List after swap: [-1, -31, -58, 23, 76, 93]
  Compare 23 and 76
  No swap needed

Pass 3:
  Compare -1 and -31
  Swap -1 and -31
  List after swap: [-31, -1, -58, 23, 76, 93]
  Compare -1 and -58
  Swap -1 and -58
  List after swap: [-31, -58, -1, 23, 76, 93]
  Compare -1 and 23
  No swap needed

Pass 4:
  Compare -31 and -58
  Swap -31 and -58
  List after swap: [-58, -31, -1, 23, 76, 93]
  Compare -31 and -1
  No swap needed

Pass 5:
  Compare -58 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -31, -1, 23, 76, 93]
</think>

<response>-58, -31, -1, 23, 76, 93</response>


input: Demonstrate how bubble sort orders the integers -26, 2, -42, 23, -39, 58, 73, -7 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-26, 2, -42, 23, -39, 58, 73, -7]

Pass 1:
  Compare -26 and 2
  No swap needed
  Compare 2 and -42
  Swap 2 and -42
  List after swap: [-26, -42, 2, 23, -39, 58, 73, -7]
  Compare 2 and 23
  No swap needed
  Compare 23 and -39
  Swap 23 and -39
  List after swap: [-26, -42, 2, -39, 23, 58, 73, -7]
  Compare 23 and 58
  No swap needed
  Compare 58 and 73
  No swap needed
  Compare 73 and -7
  Swap 73 and -7
  List after swap: [-26, -42, 2, -39, 23, 58, -7, 73]

Pass 2:
  Compare -26 and -42
  Swap -26 and -42
  List after swap: [-42, -26, 2, -39, 23, 58, -7, 73]
  Compare -26 and 2
  No swap needed
  Compare 2 and -39
  Swap 2 and -39
  List after swap: [-42, -26, -39, 2, 23, 58, -7, 73]
  Compare 2 and 23
  No swap needed
  Compare 23 and 58
  No swap needed
  Compare 58 and -7
  Swap 58 and -7
  List after swap: [-42, -26, -39, 2, 23, -7, 58, 73]

Pass 3:
  Compare -42 and -26
  No swap needed
  Compare -26 and -39
  Swap -26 and -39
  List after swap: [-42, -39, -26, 2, 23, -7, 58, 73]
  Compare -26 and 2
  No swap needed
  Compare 2 and 23
  No swap needed
  Compare 23 and -7
  Swap 23 and -7
  List after swap: [-42, -39, -26, 2, -7, 23, 58, 73]

Pass 4:
  Compare -42 and -39
  No swap needed
  Compare -39 and -26
  No swap needed
  Compare -26 and 2
  No swap needed
  Compare 2 and -7
  Swap 2 and -7
  List after swap: [-42, -39, -26, -7, 2, 23, 58, 73]

Pass 5:
  Compare -42 and -39
  No swap needed
  Compare -39 and -26
  No swap needed
  Compare -26 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-42, -39, -26, -7, 2, 23, 58, 73]
</think>

<response>-42, -39, -26, -7, 2, 23, 58, 73</response>


input: Carry out the bubble sort algorithm on -35, 79, -25, -97 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-35, 79, -25, -97]

Pass 1:
  Compare -35 and 79
  No swap needed
  Compare 79 and -25
  Swap 79 and -25
  List after swap: [-35, -25, 79, -97]
  Compare 79 and -97
  Swap 79 and -97
  List after swap: [-35, -25, -97, 79]

Pass 2:
  Compare -35 and -25
  No swap needed
  Compare -25 and -97
  Swap -25 and -97
  List after swap: [-35, -97, -25, 79]

Pass 3:
  Compare -35 and -97
  Swap -35 and -97
  List after swap: [-97, -35, -25, 79]

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

Final sorted list: [-97, -35, -25, 79]
</think>

<response>-97, -35, -25, 79</response>


input: Carry out the bubble sort algorithm on -82, 12 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-82, 12]

Pass 1:
  Compare -82 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, 12]
</think>

<response>-82, 12</response>


input: Using the bubble sort method, sort -76, -57, -41, -52, -91, 91, 54 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-76, -57, -41, -52, -91, 91, 54]

Pass 1:
  Compare -76 and -57
  No swap needed
  Compare -57 and -41
  No swap needed
  Compare -41 and -52
  Swap -41 and -52
  List after swap: [-76, -57, -52, -41, -91, 91, 54]
  Compare -41 and -91
  Swap -41 and -91
  List after swap: [-76, -57, -52, -91, -41, 91, 54]
  Compare -41 and 91
  No swap needed
  Compare 91 and 54
  Swap 91 and 54
  List after swap: [-76, -57, -52, -91, -41, 54, 91]

Pass 2:
  Compare -76 and -57
  No swap needed
  Compare -57 and -52
  No swap needed
  Compare -52 and -91
  Swap -52 and -91
  List after swap: [-76, -57, -91, -52, -41, 54, 91]
  Compare -52 and -41
  No swap needed
  Compare -41 and 54
  No swap needed

Pass 3:
  Compare -76 and -57
  No swap needed
  Compare -57 and -91
  Swap -57 and -91
  List after swap: [-76, -91, -57, -52, -41, 54, 91]
  Compare -57 and -52
  No swap needed
  Compare -52 and -41
  No swap needed

Pass 4:
  Compare -76 and -91
  Swap -76 and -91
  List after swap: [-91, -76, -57, -52, -41, 54, 91]
  Compare -76 and -57
  No swap needed
  Compare -57 and -52
  No swap needed

Pass 5:
  Compare -91 and -76
  No swap needed
  Compare -76 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -76, -57, -52, -41, 54, 91]
</think>

<response>-91, -76, -57, -52, -41, 54, 91</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 1, -65, -32, -50.

output:
<think>
Initial list: [1, -65, -32, -50]

Pass 1:
  Compare 1 and -65
  Swap 1 and -65
  List after swap: [-65, 1, -32, -50]
  Compare 1 and -32
  Swap 1 and -32
  List after swap: [-65, -32, 1, -50]
  Compare 1 and -50
  Swap 1 and -50
  List after swap: [-65, -32, -50, 1]

Pass 2:
  Compare -65 and -32
  No swap needed
  Compare -32 and -50
  Swap -32 and -50
  List after swap: [-65, -50, -32, 1]

Pass 3:
  Compare -65 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -50, -32, 1]
</think>

<response>-65, -50, -32, 1</response>


input: Arrange the numbers 81, 23, -24, -60, -61 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [81, 23, -24, -60, -61]

Pass 1:
  Compare 81 and 23
  Swap 81 and 23
  List after swap: [23, 81, -24, -60, -61]
  Compare 81 and -24
  Swap 81 and -24
  List after swap: [23, -24, 81, -60, -61]
  Compare 81 and -60
  Swap 81 and -60
  List after swap: [23, -24, -60, 81, -61]
  Compare 81 and -61
  Swap 81 and -61
  List after swap: [23, -24, -60, -61, 81]

Pass 2:
  Compare 23 and -24
  Swap 23 and -24
  List after swap: [-24, 23, -60, -61, 81]
  Compare 23 and -60
  Swap 23 and -60
  List after swap: [-24, -60, 23, -61, 81]
  Compare 23 and -61
  Swap 23 and -61
  List after swap: [-24, -60, -61, 23, 81]

Pass 3:
  Compare -24 and -60
  Swap -24 and -60
  List after swap: [-60, -24, -61, 23, 81]
  Compare -24 and -61
  Swap -24 and -61
  List after swap: [-60, -61, -24, 23, 81]

Pass 4:
  Compare -60 and -61
  Swap -60 and -61
  List after swap: [-61, -60, -24, 23, 81]

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

Final sorted list: [-61, -60, -24, 23, 81]
</think>

<response>-61, -60, -24, 23, 81</response>


input: Arrange the numbers -8, -45, 80, -91, 2 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-8, -45, 80, -91, 2]

Pass 1:
  Compare -8 and -45
  Swap -8 and -45
  List after swap: [-45, -8, 80, -91, 2]
  Compare -8 and 80
  No swap needed
  Compare 80 and -91
  Swap 80 and -91
  List after swap: [-45, -8, -91, 80, 2]
  Compare 80 and 2
  Swap 80 and 2
  List after swap: [-45, -8, -91, 2, 80]

Pass 2:
  Compare -45 and -8
  No swap needed
  Compare -8 and -91
  Swap -8 and -91
  List after swap: [-45, -91, -8, 2, 80]
  Compare -8 and 2
  No swap needed

Pass 3:
  Compare -45 and -91
  Swap -45 and -91
  List after swap: [-91, -45, -8, 2, 80]
  Compare -45 and -8
  No swap needed

Pass 4:
  Compare -91 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -45, -8, 2, 80]
</think>

<response>-91, -45, -8, 2, 80</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 58, -7, -30, -64, 4, 44, 90, 86, 43.

output:
<think>
Initial list: [58, -7, -30, -64, 4, 44, 90, 86, 43]

Pass 1:
  Compare 58 and -7
  Swap 58 and -7
  List after swap: [-7, 58, -30, -64, 4, 44, 90, 86, 43]
  Compare 58 and -30
  Swap 58 and -30
  List after swap: [-7, -30, 58, -64, 4, 44, 90, 86, 43]
  Compare 58 and -64
  Swap 58 and -64
  List after swap: [-7, -30, -64, 58, 4, 44, 90, 86, 43]
  Compare 58 and 4
  Swap 58 and 4
  List after swap: [-7, -30, -64, 4, 58, 44, 90, 86, 43]
  Compare 58 and 44
  Swap 58 and 44
  List after swap: [-7, -30, -64, 4, 44, 58, 90, 86, 43]
  Compare 58 and 90
  No swap needed
  Compare 90 and 86
  Swap 90 and 86
  List after swap: [-7, -30, -64, 4, 44, 58, 86, 90, 43]
  Compare 90 and 43
  Swap 90 and 43
  List after swap: [-7, -30, -64, 4, 44, 58, 86, 43, 90]

Pass 2:
  Compare -7 and -30
  Swap -7 and -30
  List after swap: [-30, -7, -64, 4, 44, 58, 86, 43, 90]
  Compare -7 and -64
  Swap -7 and -64
  List after swap: [-30, -64, -7, 4, 44, 58, 86, 43, 90]
  Compare -7 and 4
  No swap needed
  Compare 4 and 44
  No swap needed
  Compare 44 and 58
  No swap needed
  Compare 58 and 86
  No swap needed
  Compare 86 and 43
  Swap 86 and 43
  List after swap: [-30, -64, -7, 4, 44, 58, 43, 86, 90]

Pass 3:
  Compare -30 and -64
  Swap -30 and -64
  List after swap: [-64, -30, -7, 4, 44, 58, 43, 86, 90]
  Compare -30 and -7
  No swap needed
  Compare -7 and 4
  No swap needed
  Compare 4 and 44
  No swap needed
  Compare 44 and 58
  No swap needed
  Compare 58 and 43
  Swap 58 and 43
  List after swap: [-64, -30, -7, 4, 44, 43, 58, 86, 90]

Pass 4:
  Compare -64 and -30
  No swap needed
  Compare -30 and -7
  No swap needed
  Compare -7 and 4
  No swap needed
  Compare 4 and 44
  No swap needed
  Compare 44 and 43
  Swap 44 and 43
  List after swap: [-64, -30, -7, 4, 43, 44, 58, 86, 90]

Pass 5:
  Compare -64 and -30
  No swap needed
  Compare -30 and -7
  No swap needed
  Compare -7 and 4
  No swap needed
  Compare 4 and 43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -30, -7, 4, 43, 44, 58, 86, 90]
</think>

<response>-64, -30, -7, 4, 43, 44, 58, 86, 90</response>


input: Using the bubble sort method, sort -81, 83, 0, -60 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-81, 83, 0, -60]

Pass 1:
  Compare -81 and 83
  No swap needed
  Compare 83 and 0
  Swap 83 and 0
  List after swap: [-81, 0, 83, -60]
  Compare 83 and -60
  Swap 83 and -60
  List after swap: [-81, 0, -60, 83]

Pass 2:
  Compare -81 and 0
  No swap needed
  Compare 0 and -60
  Swap 0 and -60
  List after swap: [-81, -60, 0, 83]

Pass 3:
  Compare -81 and -60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -60, 0, 83]
</think>

<response>-81, -60, 0, 83</response>


input: Sort the list 15, -35, -15, 45 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [15, -35, -15, 45]

Pass 1:
  Compare 15 and -35
  Swap 15 and -35
  List after swap: [-35, 15, -15, 45]
  Compare 15 and -15
  Swap 15 and -15
  List after swap: [-35, -15, 15, 45]
  Compare 15 and 45
  No swap needed

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

Final sorted list: [-35, -15, 15, 45]
</think>

<response>-35, -15, 15, 45</response>


input: Arrange the numbers 51, -88, -20, 70, 57, -10, -94, 30, 12 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [51, -88, -20, 70, 57, -10, -94, 30, 12]

Pass 1:
  Compare 51 and -88
  Swap 51 and -88
  List after swap: [-88, 51, -20, 70, 57, -10, -94, 30, 12]
  Compare 51 and -20
  Swap 51 and -20
  List after swap: [-88, -20, 51, 70, 57, -10, -94, 30, 12]
  Compare 51 and 70
  No swap needed
  Compare 70 and 57
  Swap 70 and 57
  List after swap: [-88, -20, 51, 57, 70, -10, -94, 30, 12]
  Compare 70 and -10
  Swap 70 and -10
  List after swap: [-88, -20, 51, 57, -10, 70, -94, 30, 12]
  Compare 70 and -94
  Swap 70 and -94
  List after swap: [-88, -20, 51, 57, -10, -94, 70, 30, 12]
  Compare 70 and 30
  Swap 70 and 30
  List after swap: [-88, -20, 51, 57, -10, -94, 30, 70, 12]
  Compare 70 and 12
  Swap 70 and 12
  List after swap: [-88, -20, 51, 57, -10, -94, 30, 12, 70]

Pass 2:
  Compare -88 and -20
  No swap needed
  Compare -20 and 51
  No swap needed
  Compare 51 and 57
  No swap needed
  Compare 57 and -10
  Swap 57 and -10
  List after swap: [-88, -20, 51, -10, 57, -94, 30, 12, 70]
  Compare 57 and -94
  Swap 57 and -94
  List after swap: [-88, -20, 51, -10, -94, 57, 30, 12, 70]
  Compare 57 and 30
  Swap 57 and 30
  List after swap: [-88, -20, 51, -10, -94, 30, 57, 12, 70]
  Compare 57 and 12
  Swap 57 and 12
  List after swap: [-88, -20, 51, -10, -94, 30, 12, 57, 70]

Pass 3:
  Compare -88 and -20
  No swap needed
  Compare -20 and 51
  No swap needed
  Compare 51 and -10
  Swap 51 and -10
  List after swap: [-88, -20, -10, 51, -94, 30, 12, 57, 70]
  Compare 51 and -94
  Swap 51 and -94
  List after swap: [-88, -20, -10, -94, 51, 30, 12, 57, 70]
  Compare 51 and 30
  Swap 51 and 30
  List after swap: [-88, -20, -10, -94, 30, 51, 12, 57, 70]
  Compare 51 and 12
  Swap 51 and 12
  List after swap: [-88, -20, -10, -94, 30, 12, 51, 57, 70]

Pass 4:
  Compare -88 and -20
  No swap needed
  Compare -20 and -10
  No swap needed
  Compare -10 and -94
  Swap -10 and -94
  List after swap: [-88, -20, -94, -10, 30, 12, 51, 57, 70]
  Compare -10 and 30
  No swap needed
  Compare 30 and 12
  Swap 30 and 12
  List after swap: [-88, -20, -94, -10, 12, 30, 51, 57, 70]

Pass 5:
  Compare -88 and -20
  No swap needed
  Compare -20 and -94
  Swap -20 and -94
  List after swap: [-88, -94, -20, -10, 12, 30, 51, 57, 70]
  Compare -20 and -10
  No swap needed
  Compare -10 and 12
  No swap needed

Pass 6:
  Compare -88 and -94
  Swap -88 and -94
  List after swap: [-94, -88, -20, -10, 12, 30, 51, 57, 70]
  Compare -88 and -20
  No swap needed
  Compare -20 and -10
  No swap needed

Pass 7:
  Compare -94 and -88
  No swap needed
  Compare -88 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -88, -20, -10, 12, 30, 51, 57, 70]
</think>

<response>-94, -88, -20, -10, 12, 30, 51, 57, 70</response>


input: Sort these integers 92, -76, -25, 37 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [92, -76, -25, 37]

Pass 1:
  Compare 92 and -76
  Swap 92 and -76
  List after swap: [-76, 92, -25, 37]
  Compare 92 and -25
  Swap 92 and -25
  List after swap: [-76, -25, 92, 37]
  Compare 92 and 37
  Swap 92 and 37
  List after swap: [-76, -25, 37, 92]

Pass 2:
  Compare -76 and -25
  No swap needed
  Compare -25 and 37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -25, 37, 92]
</think>

<response>-76, -25, 37, 92</response>


input: Carry out the bubble sort algorithm on 54, 38, -96, 20, 21, -10, -88, -46 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [54, 38, -96, 20, 21, -10, -88, -46]

Pass 1:
  Compare 54 and 38
  Swap 54 and 38
  List after swap: [38, 54, -96, 20, 21, -10, -88, -46]
  Compare 54 and -96
  Swap 54 and -96
  List after swap: [38, -96, 54, 20, 21, -10, -88, -46]
  Compare 54 and 20
  Swap 54 and 20
  List after swap: [38, -96, 20, 54, 21, -10, -88, -46]
  Compare 54 and 21
  Swap 54 and 21
  List after swap: [38, -96, 20, 21, 54, -10, -88, -46]
  Compare 54 and -10
  Swap 54 and -10
  List after swap: [38, -96, 20, 21, -10, 54, -88, -46]
  Compare 54 and -88
  Swap 54 and -88
  List after swap: [38, -96, 20, 21, -10, -88, 54, -46]
  Compare 54 and -46
  Swap 54 and -46
  List after swap: [38, -96, 20, 21, -10, -88, -46, 54]

Pass 2:
  Compare 38 and -96
  Swap 38 and -96
  List after swap: [-96, 38, 20, 21, -10, -88, -46, 54]
  Compare 38 and 20
  Swap 38 and 20
  List after swap: [-96, 20, 38, 21, -10, -88, -46, 54]
  Compare 38 and 21
  Swap 38 and 21
  List after swap: [-96, 20, 21, 38, -10, -88, -46, 54]
  Compare 38 and -10
  Swap 38 and -10
  List after swap: [-96, 20, 21, -10, 38, -88, -46, 54]
  Compare 38 and -88
  Swap 38 and -88
  List after swap: [-96, 20, 21, -10, -88, 38, -46, 54]
  Compare 38 and -46
  Swap 38 and -46
  List after swap: [-96, 20, 21, -10, -88, -46, 38, 54]

Pass 3:
  Compare -96 and 20
  No swap needed
  Compare 20 and 21
  No swap needed
  Compare 21 and -10
  Swap 21 and -10
  List after swap: [-96, 20, -10, 21, -88, -46, 38, 54]
  Compare 21 and -88
  Swap 21 and -88
  List after swap: [-96, 20, -10, -88, 21, -46, 38, 54]
  Compare 21 and -46
  Swap 21 and -46
  List after swap: [-96, 20, -10, -88, -46, 21, 38, 54]

Pass 4:
  Compare -96 and 20
  No swap needed
  Compare 20 and -10
  Swap 20 and -10
  List after swap: [-96, -10, 20, -88, -46, 21, 38, 54]
  Compare 20 and -88
  Swap 20 and -88
  List after swap: [-96, -10, -88, 20, -46, 21, 38, 54]
  Compare 20 and -46
  Swap 20 and -46
  List after swap: [-96, -10, -88, -46, 20, 21, 38, 54]

Pass 5:
  Compare -96 and -10
  No swap needed
  Compare -10 and -88
  Swap -10 and -88
  List after swap: [-96, -88, -10, -46, 20, 21, 38, 54]
  Compare -10 and -46
  Swap -10 and -46
  List after swap: [-96, -88, -46, -10, 20, 21, 38, 54]

Pass 6:
  Compare -96 and -88
  No swap needed
  Compare -88 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -88, -46, -10, 20, 21, 38, 54]
</think>

<response>-96, -88, -46, -10, 20, 21, 38, 54</response>


input: Carry out the bubble sort algorithm on -74, 57, -57 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-74, 57, -57]

Pass 1:
  Compare -74 and 57
  No swap needed
  Compare 57 and -57
  Swap 57 and -57
  List after swap: [-74, -57, 57]

Pass 2:
  Compare -74 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -57, 57]
</think>

<response>-74, -57, 57</response>


input: Carry out the bubble sort algorithm on -45, 80, -80, 13, 42, 6, 90, 0, 87, 36 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-45, 80, -80, 13, 42, 6, 90, 0, 87, 36]

Pass 1:
  Compare -45 and 80
  No swap needed
  Compare 80 and -80
  Swap 80 and -80
  List after swap: [-45, -80, 80, 13, 42, 6, 90, 0, 87, 36]
  Compare 80 and 13
  Swap 80 and 13
  List after swap: [-45, -80, 13, 80, 42, 6, 90, 0, 87, 36]
  Compare 80 and 42
  Swap 80 and 42
  List after swap: [-45, -80, 13, 42, 80, 6, 90, 0, 87, 36]
  Compare 80 and 6
  Swap 80 and 6
  List after swap: [-45, -80, 13, 42, 6, 80, 90, 0, 87, 36]
  Compare 80 and 90
  No swap needed
  Compare 90 and 0
  Swap 90 and 0
  List after swap: [-45, -80, 13, 42, 6, 80, 0, 90, 87, 36]
  Compare 90 and 87
  Swap 90 and 87
  List after swap: [-45, -80, 13, 42, 6, 80, 0, 87, 90, 36]
  Compare 90 and 36
  Swap 90 and 36
  List after swap: [-45, -80, 13, 42, 6, 80, 0, 87, 36, 90]

Pass 2:
  Compare -45 and -80
  Swap -45 and -80
  List after swap: [-80, -45, 13, 42, 6, 80, 0, 87, 36, 90]
  Compare -45 and 13
  No swap needed
  Compare 13 and 42
  No swap needed
  Compare 42 and 6
  Swap 42 and 6
  List after swap: [-80, -45, 13, 6, 42, 80, 0, 87, 36, 90]
  Compare 42 and 80
  No swap needed
  Compare 80 and 0
  Swap 80 and 0
  List after swap: [-80, -45, 13, 6, 42, 0, 80, 87, 36, 90]
  Compare 80 and 87
  No swap needed
  Compare 87 and 36
  Swap 87 and 36
  List after swap: [-80, -45, 13, 6, 42, 0, 80, 36, 87, 90]

Pass 3:
  Compare -80 and -45
  No swap needed
  Compare -45 and 13
  No swap needed
  Compare 13 and 6
  Swap 13 and 6
  List after swap: [-80, -45, 6, 13, 42, 0, 80, 36, 87, 90]
  Compare 13 and 42
  No swap needed
  Compare 42 and 0
  Swap 42 and 0
  List after swap: [-80, -45, 6, 13, 0, 42, 80, 36, 87, 90]
  Compare 42 and 80
  No swap needed
  Compare 80 and 36
  Swap 80 and 36
  List after swap: [-80, -45, 6, 13, 0, 42, 36, 80, 87, 90]

Pass 4:
  Compare -80 and -45
  No swap needed
  Compare -45 and 6
  No swap needed
  Compare 6 and 13
  No swap needed
  Compare 13 and 0
  Swap 13 and 0
  List after swap: [-80, -45, 6, 0, 13, 42, 36, 80, 87, 90]
  Compare 13 and 42
  No swap needed
  Compare 42 and 36
  Swap 42 and 36
  List after swap: [-80, -45, 6, 0, 13, 36, 42, 80, 87, 90]

Pass 5:
  Compare -80 and -45
  No swap needed
  Compare -45 and 6
  No swap needed
  Compare 6 and 0
  Swap 6 and 0
  List after swap: [-80, -45, 0, 6, 13, 36, 42, 80, 87, 90]
  Compare 6 and 13
  No swap needed
  Compare 13 and 36
  No swap needed

Pass 6:
  Compare -80 and -45
  No swap needed
  Compare -45 and 0
  No swap needed
  Compare 0 and 6
  No swap needed
  Compare 6 and 13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -45, 0, 6, 13, 36, 42, 80, 87, 90]
</think>

<response>-80, -45, 0, 6, 13, 36, 42, 80, 87, 90</response>


input: Use the bubble sort technique to reorder 22, -18, 94, 64 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [22, -18, 94, 64]

Pass 1:
  Compare 22 and -18
  Swap 22 and -18
  List after swap: [-18, 22, 94, 64]
  Compare 22 and 94
  No swap needed
  Compare 94 and 64
  Swap 94 and 64
  List after swap: [-18, 22, 64, 94]

Pass 2:
  Compare -18 and 22
  No swap needed
  Compare 22 and 64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-18, 22, 64, 94]
</think>

<response>-18, 22, 64, 94</response>


input: Implement bubble sort on 96, 97, -90, 32 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [96, 97, -90, 32]

Pass 1:
  Compare 96 and 97
  No swap needed
  Compare 97 and -90
  Swap 97 and -90
  List after swap: [96, -90, 97, 32]
  Compare 97 and 32
  Swap 97 and 32
  List after swap: [96, -90, 32, 97]

Pass 2:
  Compare 96 and -90
  Swap 96 and -90
  List after swap: [-90, 96, 32, 97]
  Compare 96 and 32
  Swap 96 and 32
  List after swap: [-90, 32, 96, 97]

Pass 3:
  Compare -90 and 32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, 32, 96, 97]
</think>

<response>-90, 32, 96, 97</response>


input: Using the bubble sort method, sort -30, -27 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-30, -27]

Pass 1:
  Compare -30 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-30, -27]
</think>

<response>-30, -27</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -1, 57, -8, -47.

output:
<think>
Initial list: [-1, 57, -8, -47]

Pass 1:
  Compare -1 and 57
  No swap needed
  Compare 57 and -8
  Swap 57 and -8
  List after swap: [-1, -8, 57, -47]
  Compare 57 and -47
  Swap 57 and -47
  List after swap: [-1, -8, -47, 57]

Pass 2:
  Compare -1 and -8
  Swap -1 and -8
  List after swap: [-8, -1, -47, 57]
  Compare -1 and -47
  Swap -1 and -47
  List after swap: [-8, -47, -1, 57]

Pass 3:
  Compare -8 and -47
  Swap -8 and -47
  List after swap: [-47, -8, -1, 57]

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

Final sorted list: [-47, -8, -1, 57]
</think>

<response>-47, -8, -1, 57</response>


input: Arrange the numbers 18, -87, -71, -65, -94, 3, -13, -88, -51 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [18, -87, -71, -65, -94, 3, -13, -88, -51]

Pass 1:
  Compare 18 and -87
  Swap 18 and -87
  List after swap: [-87, 18, -71, -65, -94, 3, -13, -88, -51]
  Compare 18 and -71
  Swap 18 and -71
  List after swap: [-87, -71, 18, -65, -94, 3, -13, -88, -51]
  Compare 18 and -65
  Swap 18 and -65
  List after swap: [-87, -71, -65, 18, -94, 3, -13, -88, -51]
  Compare 18 and -94
  Swap 18 and -94
  List after swap: [-87, -71, -65, -94, 18, 3, -13, -88, -51]
  Compare 18 and 3
  Swap 18 and 3
  List after swap: [-87, -71, -65, -94, 3, 18, -13, -88, -51]
  Compare 18 and -13
  Swap 18 and -13
  List after swap: [-87, -71, -65, -94, 3, -13, 18, -88, -51]
  Compare 18 and -88
  Swap 18 and -88
  List after swap: [-87, -71, -65, -94, 3, -13, -88, 18, -51]
  Compare 18 and -51
  Swap 18 and -51
  List after swap: [-87, -71, -65, -94, 3, -13, -88, -51, 18]

Pass 2:
  Compare -87 and -71
  No swap needed
  Compare -71 and -65
  No swap needed
  Compare -65 and -94
  Swap -65 and -94
  List after swap: [-87, -71, -94, -65, 3, -13, -88, -51, 18]
  Compare -65 and 3
  No swap needed
  Compare 3 and -13
  Swap 3 and -13
  List after swap: [-87, -71, -94, -65, -13, 3, -88, -51, 18]
  Compare 3 and -88
  Swap 3 and -88
  List after swap: [-87, -71, -94, -65, -13, -88, 3, -51, 18]
  Compare 3 and -51
  Swap 3 and -51
  List after swap: [-87, -71, -94, -65, -13, -88, -51, 3, 18]

Pass 3:
  Compare -87 and -71
  No swap needed
  Compare -71 and -94
  Swap -71 and -94
  List after swap: [-87, -94, -71, -65, -13, -88, -51, 3, 18]
  Compare -71 and -65
  No swap needed
  Compare -65 and -13
  No swap needed
  Compare -13 and -88
  Swap -13 and -88
  List after swap: [-87, -94, -71, -65, -88, -13, -51, 3, 18]
  Compare -13 and -51
  Swap -13 and -51
  List after swap: [-87, -94, -71, -65, -88, -51, -13, 3, 18]

Pass 4:
  Compare -87 and -94
  Swap -87 and -94
  List after swap: [-94, -87, -71, -65, -88, -51, -13, 3, 18]
  Compare -87 and -71
  No swap needed
  Compare -71 and -65
  No swap needed
  Compare -65 and -88
  Swap -65 and -88
  List after swap: [-94, -87, -71, -88, -65, -51, -13, 3, 18]
  Compare -65 and -51
  No swap needed

Pass 5:
  Compare -94 and -87
  No swap needed
  Compare -87 and -71
  No swap needed
  Compare -71 and -88
  Swap -71 and -88
  List after swap: [-94, -87, -88, -71, -65, -51, -13, 3, 18]
  Compare -71 and -65
  No swap needed

Pass 6:
  Compare -94 and -87
  No swap needed
  Compare -87 and -88
  Swap -87 and -88
  List after swap: [-94, -88, -87, -71, -65, -51, -13, 3, 18]
  Compare -87 and -71
  No swap needed

Pass 7:
  Compare -94 and -88
  No swap needed
  Compare -88 and -87
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -88, -87, -71, -65, -51, -13, 3, 18]
</think>

<response>-94, -88, -87, -71, -65, -51, -13, 3, 18</response>


input: Using the bubble sort method, sort 5, -39, -14, 29, 23, -9, 70, -22, 11, 86 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [5, -39, -14, 29, 23, -9, 70, -22, 11, 86]

Pass 1:
  Compare 5 and -39
  Swap 5 and -39
  List after swap: [-39, 5, -14, 29, 23, -9, 70, -22, 11, 86]
  Compare 5 and -14
  Swap 5 and -14
  List after swap: [-39, -14, 5, 29, 23, -9, 70, -22, 11, 86]
  Compare 5 and 29
  No swap needed
  Compare 29 and 23
  Swap 29 and 23
  List after swap: [-39, -14, 5, 23, 29, -9, 70, -22, 11, 86]
  Compare 29 and -9
  Swap 29 and -9
  List after swap: [-39, -14, 5, 23, -9, 29, 70, -22, 11, 86]
  Compare 29 and 70
  No swap needed
  Compare 70 and -22
  Swap 70 and -22
  List after swap: [-39, -14, 5, 23, -9, 29, -22, 70, 11, 86]
  Compare 70 and 11
  Swap 70 and 11
  List after swap: [-39, -14, 5, 23, -9, 29, -22, 11, 70, 86]
  Compare 70 and 86
  No swap needed

Pass 2:
  Compare -39 and -14
  No swap needed
  Compare -14 and 5
  No swap needed
  Compare 5 and 23
  No swap needed
  Compare 23 and -9
  Swap 23 and -9
  List after swap: [-39, -14, 5, -9, 23, 29, -22, 11, 70, 86]
  Compare 23 and 29
  No swap needed
  Compare 29 and -22
  Swap 29 and -22
  List after swap: [-39, -14, 5, -9, 23, -22, 29, 11, 70, 86]
  Compare 29 and 11
  Swap 29 and 11
  List after swap: [-39, -14, 5, -9, 23, -22, 11, 29, 70, 86]
  Compare 29 and 70
  No swap needed

Pass 3:
  Compare -39 and -14
  No swap needed
  Compare -14 and 5
  No swap needed
  Compare 5 and -9
  Swap 5 and -9
  List after swap: [-39, -14, -9, 5, 23, -22, 11, 29, 70, 86]
  Compare 5 and 23
  No swap needed
  Compare 23 and -22
  Swap 23 and -22
  List after swap: [-39, -14, -9, 5, -22, 23, 11, 29, 70, 86]
  Compare 23 and 11
  Swap 23 and 11
  List after swap: [-39, -14, -9, 5, -22, 11, 23, 29, 70, 86]
  Compare 23 and 29
  No swap needed

Pass 4:
  Compare -39 and -14
  No swap needed
  Compare -14 and -9
  No swap needed
  Compare -9 and 5
  No swap needed
  Compare 5 and -22
  Swap 5 and -22
  List after swap: [-39, -14, -9, -22, 5, 11, 23, 29, 70, 86]
  Compare 5 and 11
  No swap needed
  Compare 11 and 23
  No swap needed

Pass 5:
  Compare -39 and -14
  No swap needed
  Compare -14 and -9
  No swap needed
  Compare -9 and -22
  Swap -9 and -22
  List after swap: [-39, -14, -22, -9, 5, 11, 23, 29, 70, 86]
  Compare -9 and 5
  No swap needed
  Compare 5 and 11
  No swap needed

Pass 6:
  Compare -39 and -14
  No swap needed
  Compare -14 and -22
  Swap -14 and -22
  List after swap: [-39, -22, -14, -9, 5, 11, 23, 29, 70, 86]
  Compare -14 and -9
  No swap needed
  Compare -9 and 5
  No swap needed

Pass 7:
  Compare -39 and -22
  No swap needed
  Compare -22 and -14
  No swap needed
  Compare -14 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-39, -22, -14, -9, 5, 11, 23, 29, 70, 86]
</think>

<response>-39, -22, -14, -9, 5, 11, 23, 29, 70, 86</response>


input: Sort these integers 61, -59, -19, -84, -54, -17, -78 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [61, -59, -19, -84, -54, -17, -78]

Pass 1:
  Compare 61 and -59
  Swap 61 and -59
  List after swap: [-59, 61, -19, -84, -54, -17, -78]
  Compare 61 and -19
  Swap 61 and -19
  List after swap: [-59, -19, 61, -84, -54, -17, -78]
  Compare 61 and -84
  Swap 61 and -84
  List after swap: [-59, -19, -84, 61, -54, -17, -78]
  Compare 61 and -54
  Swap 61 and -54
  List after swap: [-59, -19, -84, -54, 61, -17, -78]
  Compare 61 and -17
  Swap 61 and -17
  List after swap: [-59, -19, -84, -54, -17, 61, -78]
  Compare 61 and -78
  Swap 61 and -78
  List after swap: [-59, -19, -84, -54, -17, -78, 61]

Pass 2:
  Compare -59 and -19
  No swap needed
  Compare -19 and -84
  Swap -19 and -84
  List after swap: [-59, -84, -19, -54, -17, -78, 61]
  Compare -19 and -54
  Swap -19 and -54
  List after swap: [-59, -84, -54, -19, -17, -78, 61]
  Compare -19 and -17
  No swap needed
  Compare -17 and -78
  Swap -17 and -78
  List after swap: [-59, -84, -54, -19, -78, -17, 61]

Pass 3:
  Compare -59 and -84
  Swap -59 and -84
  List after swap: [-84, -59, -54, -19, -78, -17, 61]
  Compare -59 and -54
  No swap needed
  Compare -54 and -19
  No swap needed
  Compare -19 and -78
  Swap -19 and -78
  List after swap: [-84, -59, -54, -78, -19, -17, 61]

Pass 4:
  Compare -84 and -59
  No swap needed
  Compare -59 and -54
  No swap needed
  Compare -54 and -78
  Swap -54 and -78
  List after swap: [-84, -59, -78, -54, -19, -17, 61]

Pass 5:
  Compare -84 and -59
  No swap needed
  Compare -59 and -78
  Swap -59 and -78
  List after swap: [-84, -78, -59, -54, -19, -17, 61]

Pass 6:
  Compare -84 and -78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -78, -59, -54, -19, -17, 61]
</think>

<response>-84, -78, -59, -54, -19, -17, 61</response>


input: Perform a bubble sort on the integers 72, 85, 11, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [72, 85, 11]

Pass 1:
  Compare 72 and 85
  No swap needed
  Compare 85 and 11
  Swap 85 and 11
  List after swap: [72, 11, 85]

Pass 2:
  Compare 72 and 11
  Swap 72 and 11
  List after swap: [11, 72, 85]

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

Final sorted list: [11, 72, 85]
</think>

<response>11, 72, 85</response>


input: Arrange the numbers 52, 62 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [52, 62]

Pass 1:
  Compare 52 and 62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [52, 62]
</think>

<response>52, 62</response>


input: Demonstrate how bubble sort orders the integers 52, 59, -13, -90, 95, -80, -70, -94, 37 in ascending sequence, showing all steps.

output:
<think>
Initial list: [52, 59, -13, -90, 95, -80, -70, -94, 37]

Pass 1:
  Compare 52 and 59
  No swap needed
  Compare 59 and -13
  Swap 59 and -13
  List after swap: [52, -13, 59, -90, 95, -80, -70, -94, 37]
  Compare 59 and -90
  Swap 59 and -90
  List after swap: [52, -13, -90, 59, 95, -80, -70, -94, 37]
  Compare 59 and 95
  No swap needed
  Compare 95 and -80
  Swap 95 and -80
  List after swap: [52, -13, -90, 59, -80, 95, -70, -94, 37]
  Compare 95 and -70
  Swap 95 and -70
  List after swap: [52, -13, -90, 59, -80, -70, 95, -94, 37]
  Compare 95 and -94
  Swap 95 and -94
  List after swap: [52, -13, -90, 59, -80, -70, -94, 95, 37]
  Compare 95 and 37
  Swap 95 and 37
  List after swap: [52, -13, -90, 59, -80, -70, -94, 37, 95]

Pass 2:
  Compare 52 and -13
  Swap 52 and -13
  List after swap: [-13, 52, -90, 59, -80, -70, -94, 37, 95]
  Compare 52 and -90
  Swap 52 and -90
  List after swap: [-13, -90, 52, 59, -80, -70, -94, 37, 95]
  Compare 52 and 59
  No swap needed
  Compare 59 and -80
  Swap 59 and -80
  List after swap: [-13, -90, 52, -80, 59, -70, -94, 37, 95]
  Compare 59 and -70
  Swap 59 and -70
  List after swap: [-13, -90, 52, -80, -70, 59, -94, 37, 95]
  Compare 59 and -94
  Swap 59 and -94
  List after swap: [-13, -90, 52, -80, -70, -94, 59, 37, 95]
  Compare 59 and 37
  Swap 59 and 37
  List after swap: [-13, -90, 52, -80, -70, -94, 37, 59, 95]

Pass 3:
  Compare -13 and -90
  Swap -13 and -90
  List after swap: [-90, -13, 52, -80, -70, -94, 37, 59, 95]
  Compare -13 and 52
  No swap needed
  Compare 52 and -80
  Swap 52 and -80
  List after swap: [-90, -13, -80, 52, -70, -94, 37, 59, 95]
  Compare 52 and -70
  Swap 52 and -70
  List after swap: [-90, -13, -80, -70, 52, -94, 37, 59, 95]
  Compare 52 and -94
  Swap 52 and -94
  List after swap: [-90, -13, -80, -70, -94, 52, 37, 59, 95]
  Compare 52 and 37
  Swap 52 and 37
  List after swap: [-90, -13, -80, -70, -94, 37, 52, 59, 95]

Pass 4:
  Compare -90 and -13
  No swap needed
  Compare -13 and -80
  Swap -13 and -80
  List after swap: [-90, -80, -13, -70, -94, 37, 52, 59, 95]
  Compare -13 and -70
  Swap -13 and -70
  List after swap: [-90, -80, -70, -13, -94, 37, 52, 59, 95]
  Compare -13 and -94
  Swap -13 and -94
  List after swap: [-90, -80, -70, -94, -13, 37, 52, 59, 95]
  Compare -13 and 37
  No swap needed

Pass 5:
  Compare -90 and -80
  No swap needed
  Compare -80 and -70
  No swap needed
  Compare -70 and -94
  Swap -70 and -94
  List after swap: [-90, -80, -94, -70, -13, 37, 52, 59, 95]
  Compare -70 and -13
  No swap needed

Pass 6:
  Compare -90 and -80
  No swap needed
  Compare -80 and -94
  Swap -80 and -94
  List after swap: [-90, -94, -80, -70, -13, 37, 52, 59, 95]
  Compare -80 and -70
  No swap needed

Pass 7:
  Compare -90 and -94
  Swap -90 and -94
  List after swap: [-94, -90, -80, -70, -13, 37, 52, 59, 95]
  Compare -90 and -80
  No swap needed

Pass 8:
  Compare -94 and -90
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -90, -80, -70, -13, 37, 52, 59, 95]
</think>

<response>-94, -90, -80, -70, -13, 37, 52, 59, 95</response>


input: Execute bubble sort to sort 11, 49, 41, -13, 95, -34 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [11, 49, 41, -13, 95, -34]

Pass 1:
  Compare 11 and 49
  No swap needed
  Compare 49 and 41
  Swap 49 and 41
  List after swap: [11, 41, 49, -13, 95, -34]
  Compare 49 and -13
  Swap 49 and -13
  List after swap: [11, 41, -13, 49, 95, -34]
  Compare 49 and 95
  No swap needed
  Compare 95 and -34
  Swap 95 and -34
  List after swap: [11, 41, -13, 49, -34, 95]

Pass 2:
  Compare 11 and 41
  No swap needed
  Compare 41 and -13
  Swap 41 and -13
  List after swap: [11, -13, 41, 49, -34, 95]
  Compare 41 and 49
  No swap needed
  Compare 49 and -34
  Swap 49 and -34
  List after swap: [11, -13, 41, -34, 49, 95]

Pass 3:
  Compare 11 and -13
  Swap 11 and -13
  List after swap: [-13, 11, 41, -34, 49, 95]
  Compare 11 and 41
  No swap needed
  Compare 41 and -34
  Swap 41 and -34
  List after swap: [-13, 11, -34, 41, 49, 95]

Pass 4:
  Compare -13 and 11
  No swap needed
  Compare 11 and -34
  Swap 11 and -34
  List after swap: [-13, -34, 11, 41, 49, 95]

Pass 5:
  Compare -13 and -34
  Swap -13 and -34
  List after swap: [-34, -13, 11, 41, 49, 95]

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

Final sorted list: [-34, -13, 11, 41, 49, 95]
</think>

<response>-34, -13, 11, 41, 49, 95</response>


input: Demonstrate how bubble sort orders the integers 33, 78, 5, 14, 42 in ascending sequence, showing all steps.

output:
<think>
Initial list: [33, 78, 5, 14, 42]

Pass 1:
  Compare 33 and 78
  No swap needed
  Compare 78 and 5
  Swap 78 and 5
  List after swap: [33, 5, 78, 14, 42]
  Compare 78 and 14
  Swap 78 and 14
  List after swap: [33, 5, 14, 78, 42]
  Compare 78 and 42
  Swap 78 and 42
  List after swap: [33, 5, 14, 42, 78]

Pass 2:
  Compare 33 and 5
  Swap 33 and 5
  List after swap: [5, 33, 14, 42, 78]
  Compare 33 and 14
  Swap 33 and 14
  List after swap: [5, 14, 33, 42, 78]
  Compare 33 and 42
  No swap needed

Pass 3:
  Compare 5 and 14
  No swap needed
  Compare 14 and 33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [5, 14, 33, 42, 78]
</think>

<response>5, 14, 33, 42, 78</response>


input: Carry out the bubble sort algorithm on 37, 90, 43, -6, -83, 75, -71 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [37, 90, 43, -6, -83, 75, -71]

Pass 1:
  Compare 37 and 90
  No swap needed
  Compare 90 and 43
  Swap 90 and 43
  List after swap: [37, 43, 90, -6, -83, 75, -71]
  Compare 90 and -6
  Swap 90 and -6
  List after swap: [37, 43, -6, 90, -83, 75, -71]
  Compare 90 and -83
  Swap 90 and -83
  List after swap: [37, 43, -6, -83, 90, 75, -71]
  Compare 90 and 75
  Swap 90 and 75
  List after swap: [37, 43, -6, -83, 75, 90, -71]
  Compare 90 and -71
  Swap 90 and -71
  List after swap: [37, 43, -6, -83, 75, -71, 90]

Pass 2:
  Compare 37 and 43
  No swap needed
  Compare 43 and -6
  Swap 43 and -6
  List after swap: [37, -6, 43, -83, 75, -71, 90]
  Compare 43 and -83
  Swap 43 and -83
  List after swap: [37, -6, -83, 43, 75, -71, 90]
  Compare 43 and 75
  No swap needed
  Compare 75 and -71
  Swap 75 and -71
  List after swap: [37, -6, -83, 43, -71, 75, 90]

Pass 3:
  Compare 37 and -6
  Swap 37 and -6
  List after swap: [-6, 37, -83, 43, -71, 75, 90]
  Compare 37 and -83
  Swap 37 and -83
  List after swap: [-6, -83, 37, 43, -71, 75, 90]
  Compare 37 and 43
  No swap needed
  Compare 43 and -71
  Swap 43 and -71
  List after swap: [-6, -83, 37, -71, 43, 75, 90]

Pass 4:
  Compare -6 and -83
  Swap -6 and -83
  List after swap: [-83, -6, 37, -71, 43, 75, 90]
  Compare -6 and 37
  No swap needed
  Compare 37 and -71
  Swap 37 and -71
  List after swap: [-83, -6, -71, 37, 43, 75, 90]

Pass 5:
  Compare -83 and -6
  No swap needed
  Compare -6 and -71
  Swap -6 and -71
  List after swap: [-83, -71, -6, 37, 43, 75, 90]

Pass 6:
  Compare -83 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -71, -6, 37, 43, 75, 90]
</think>

<response>-83, -71, -6, 37, 43, 75, 90</response>


input: Implement bubble sort on 76, 15, 78, 28, -97 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [76, 15, 78, 28, -97]

Pass 1:
  Compare 76 and 15
  Swap 76 and 15
  List after swap: [15, 76, 78, 28, -97]
  Compare 76 and 78
  No swap needed
  Compare 78 and 28
  Swap 78 and 28
  List after swap: [15, 76, 28, 78, -97]
  Compare 78 and -97
  Swap 78 and -97
  List after swap: [15, 76, 28, -97, 78]

Pass 2:
  Compare 15 and 76
  No swap needed
  Compare 76 and 28
  Swap 76 and 28
  List after swap: [15, 28, 76, -97, 78]
  Compare 76 and -97
  Swap 76 and -97
  List after swap: [15, 28, -97, 76, 78]

Pass 3:
  Compare 15 and 28
  No swap needed
  Compare 28 and -97
  Swap 28 and -97
  List after swap: [15, -97, 28, 76, 78]

Pass 4:
  Compare 15 and -97
  Swap 15 and -97
  List after swap: [-97, 15, 28, 76, 78]

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

Final sorted list: [-97, 15, 28, 76, 78]
</think>

<response>-97, 15, 28, 76, 78</response>


input: Using the bubble sort method, sort -98, -39, 4, -40, 45, -8, 50, -30, 63, 36 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-98, -39, 4, -40, 45, -8, 50, -30, 63, 36]

Pass 1:
  Compare -98 and -39
  No swap needed
  Compare -39 and 4
  No swap needed
  Compare 4 and -40
  Swap 4 and -40
  List after swap: [-98, -39, -40, 4, 45, -8, 50, -30, 63, 36]
  Compare 4 and 45
  No swap needed
  Compare 45 and -8
  Swap 45 and -8
  List after swap: [-98, -39, -40, 4, -8, 45, 50, -30, 63, 36]
  Compare 45 and 50
  No swap needed
  Compare 50 and -30
  Swap 50 and -30
  List after swap: [-98, -39, -40, 4, -8, 45, -30, 50, 63, 36]
  Compare 50 and 63
  No swap needed
  Compare 63 and 36
  Swap 63 and 36
  List after swap: [-98, -39, -40, 4, -8, 45, -30, 50, 36, 63]

Pass 2:
  Compare -98 and -39
  No swap needed
  Compare -39 and -40
  Swap -39 and -40
  List after swap: [-98, -40, -39, 4, -8, 45, -30, 50, 36, 63]
  Compare -39 and 4
  No swap needed
  Compare 4 and -8
  Swap 4 and -8
  List after swap: [-98, -40, -39, -8, 4, 45, -30, 50, 36, 63]
  Compare 4 and 45
  No swap needed
  Compare 45 and -30
  Swap 45 and -30
  List after swap: [-98, -40, -39, -8, 4, -30, 45, 50, 36, 63]
  Compare 45 and 50
  No swap needed
  Compare 50 and 36
  Swap 50 and 36
  List after swap: [-98, -40, -39, -8, 4, -30, 45, 36, 50, 63]

Pass 3:
  Compare -98 and -40
  No swap needed
  Compare -40 and -39
  No swap needed
  Compare -39 and -8
  No swap needed
  Compare -8 and 4
  No swap needed
  Compare 4 and -30
  Swap 4 and -30
  List after swap: [-98, -40, -39, -8, -30, 4, 45, 36, 50, 63]
  Compare 4 and 45
  No swap needed
  Compare 45 and 36
  Swap 45 and 36
  List after swap: [-98, -40, -39, -8, -30, 4, 36, 45, 50, 63]

Pass 4:
  Compare -98 and -40
  No swap needed
  Compare -40 and -39
  No swap needed
  Compare -39 and -8
  No swap needed
  Compare -8 and -30
  Swap -8 and -30
  List after swap: [-98, -40, -39, -30, -8, 4, 36, 45, 50, 63]
  Compare -8 and 4
  No swap needed
  Compare 4 and 36
  No swap needed

Pass 5:
  Compare -98 and -40
  No swap needed
  Compare -40 and -39
  No swap needed
  Compare -39 and -30
  No swap needed
  Compare -30 and -8
  No swap needed
  Compare -8 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -40, -39, -30, -8, 4, 36, 45, 50, 63]
</think>

<response>-98, -40, -39, -30, -8, 4, 36, 45, 50, 63</response>


input: Use the bubble sort technique to reorder -64, 50, 94, -29 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-64, 50, 94, -29]

Pass 1:
  Compare -64 and 50
  No swap needed
  Compare 50 and 94
  No swap needed
  Compare 94 and -29
  Swap 94 and -29
  List after swap: [-64, 50, -29, 94]

Pass 2:
  Compare -64 and 50
  No swap needed
  Compare 50 and -29
  Swap 50 and -29
  List after swap: [-64, -29, 50, 94]

Pass 3:
  Compare -64 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -29, 50, 94]
</think>

<response>-64, -29, 50, 94</response>


input: Execute bubble sort to sort -14, -8 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-14, -8]

Pass 1:
  Compare -14 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-14, -8]
</think>

<response>-14, -8</response>


input: Demonstrate how bubble sort orders the integers -68, -77, -26, -12, 29, 55, -51, -6 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-68, -77, -26, -12, 29, 55, -51, -6]

Pass 1:
  Compare -68 and -77
  Swap -68 and -77
  List after swap: [-77, -68, -26, -12, 29, 55, -51, -6]
  Compare -68 and -26
  No swap needed
  Compare -26 and -12
  No swap needed
  Compare -12 and 29
  No swap needed
  Compare 29 and 55
  No swap needed
  Compare 55 and -51
  Swap 55 and -51
  List after swap: [-77, -68, -26, -12, 29, -51, 55, -6]
  Compare 55 and -6
  Swap 55 and -6
  List after swap: [-77, -68, -26, -12, 29, -51, -6, 55]

Pass 2:
  Compare -77 and -68
  No swap needed
  Compare -68 and -26
  No swap needed
  Compare -26 and -12
  No swap needed
  Compare -12 and 29
  No swap needed
  Compare 29 and -51
  Swap 29 and -51
  List after swap: [-77, -68, -26, -12, -51, 29, -6, 55]
  Compare 29 and -6
  Swap 29 and -6
  List after swap: [-77, -68, -26, -12, -51, -6, 29, 55]

Pass 3:
  Compare -77 and -68
  No swap needed
  Compare -68 and -26
  No swap needed
  Compare -26 and -12
  No swap needed
  Compare -12 and -51
  Swap -12 and -51
  List after swap: [-77, -68, -26, -51, -12, -6, 29, 55]
  Compare -12 and -6
  No swap needed

Pass 4:
  Compare -77 and -68
  No swap needed
  Compare -68 and -26
  No swap needed
  Compare -26 and -51
  Swap -26 and -51
  List after swap: [-77, -68, -51, -26, -12, -6, 29, 55]
  Compare -26 and -12
  No swap needed

Pass 5:
  Compare -77 and -68
  No swap needed
  Compare -68 and -51
  No swap needed
  Compare -51 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -68, -51, -26, -12, -6, 29, 55]
</think>

<response>-77, -68, -51, -26, -12, -6, 29, 55</response>


input: Execute bubble sort to sort -91, 71, 58 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-91, 71, 58]

Pass 1:
  Compare -91 and 71
  No swap needed
  Compare 71 and 58
  Swap 71 and 58
  List after swap: [-91, 58, 71]

Pass 2:
  Compare -91 and 58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, 58, 71]
</think>

<response>-91, 58, 71</response>


input: Execute bubble sort to sort 55, 56, -61, 51 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [55, 56, -61, 51]

Pass 1:
  Compare 55 and 56
  No swap needed
  Compare 56 and -61
  Swap 56 and -61
  List after swap: [55, -61, 56, 51]
  Compare 56 and 51
  Swap 56 and 51
  List after swap: [55, -61, 51, 56]

Pass 2:
  Compare 55 and -61
  Swap 55 and -61
  List after swap: [-61, 55, 51, 56]
  Compare 55 and 51
  Swap 55 and 51
  List after swap: [-61, 51, 55, 56]

Pass 3:
  Compare -61 and 51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, 51, 55, 56]
</think>

<response>-61, 51, 55, 56</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -92, 28, -46, 23, 0, -65, 81.

output:
<think>
Initial list: [-92, 28, -46, 23, 0, -65, 81]

Pass 1:
  Compare -92 and 28
  No swap needed
  Compare 28 and -46
  Swap 28 and -46
  List after swap: [-92, -46, 28, 23, 0, -65, 81]
  Compare 28 and 23
  Swap 28 and 23
  List after swap: [-92, -46, 23, 28, 0, -65, 81]
  Compare 28 and 0
  Swap 28 and 0
  List after swap: [-92, -46, 23, 0, 28, -65, 81]
  Compare 28 and -65
  Swap 28 and -65
  List after swap: [-92, -46, 23, 0, -65, 28, 81]
  Compare 28 and 81
  No swap needed

Pass 2:
  Compare -92 and -46
  No swap needed
  Compare -46 and 23
  No swap needed
  Compare 23 and 0
  Swap 23 and 0
  List after swap: [-92, -46, 0, 23, -65, 28, 81]
  Compare 23 and -65
  Swap 23 and -65
  List after swap: [-92, -46, 0, -65, 23, 28, 81]
  Compare 23 and 28
  No swap needed

Pass 3:
  Compare -92 and -46
  No swap needed
  Compare -46 and 0
  No swap needed
  Compare 0 and -65
  Swap 0 and -65
  List after swap: [-92, -46, -65, 0, 23, 28, 81]
  Compare 0 and 23
  No swap needed

Pass 4:
  Compare -92 and -46
  No swap needed
  Compare -46 and -65
  Swap -46 and -65
  List after swap: [-92, -65, -46, 0, 23, 28, 81]
  Compare -46 and 0
  No swap needed

Pass 5:
  Compare -92 and -65
  No swap needed
  Compare -65 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -65, -46, 0, 23, 28, 81]
</think>

<response>-92, -65, -46, 0, 23, 28, 81</response>