input: Use the bubble sort technique to reorder -81, 3, 73, 47, 5, -71, 26, 32, -42, -7 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-81, 3, 73, 47, 5, -71, 26, 32, -42, -7]

Pass 1:
  Compare -81 and 3
  No swap needed
  Compare 3 and 73
  No swap needed
  Compare 73 and 47
  Swap 73 and 47
  List after swap: [-81, 3, 47, 73, 5, -71, 26, 32, -42, -7]
  Compare 73 and 5
  Swap 73 and 5
  List after swap: [-81, 3, 47, 5, 73, -71, 26, 32, -42, -7]
  Compare 73 and -71
  Swap 73 and -71
  List after swap: [-81, 3, 47, 5, -71, 73, 26, 32, -42, -7]
  Compare 73 and 26
  Swap 73 and 26
  List after swap: [-81, 3, 47, 5, -71, 26, 73, 32, -42, -7]
  Compare 73 and 32
  Swap 73 and 32
  List after swap: [-81, 3, 47, 5, -71, 26, 32, 73, -42, -7]
  Compare 73 and -42
  Swap 73 and -42
  List after swap: [-81, 3, 47, 5, -71, 26, 32, -42, 73, -7]
  Compare 73 and -7
  Swap 73 and -7
  List after swap: [-81, 3, 47, 5, -71, 26, 32, -42, -7, 73]

Pass 2:
  Compare -81 and 3
  No swap needed
  Compare 3 and 47
  No swap needed
  Compare 47 and 5
  Swap 47 and 5
  List after swap: [-81, 3, 5, 47, -71, 26, 32, -42, -7, 73]
  Compare 47 and -71
  Swap 47 and -71
  List after swap: [-81, 3, 5, -71, 47, 26, 32, -42, -7, 73]
  Compare 47 and 26
  Swap 47 and 26
  List after swap: [-81, 3, 5, -71, 26, 47, 32, -42, -7, 73]
  Compare 47 and 32
  Swap 47 and 32
  List after swap: [-81, 3, 5, -71, 26, 32, 47, -42, -7, 73]
  Compare 47 and -42
  Swap 47 and -42
  List after swap: [-81, 3, 5, -71, 26, 32, -42, 47, -7, 73]
  Compare 47 and -7
  Swap 47 and -7
  List after swap: [-81, 3, 5, -71, 26, 32, -42, -7, 47, 73]

Pass 3:
  Compare -81 and 3
  No swap needed
  Compare 3 and 5
  No swap needed
  Compare 5 and -71
  Swap 5 and -71
  List after swap: [-81, 3, -71, 5, 26, 32, -42, -7, 47, 73]
  Compare 5 and 26
  No swap needed
  Compare 26 and 32
  No swap needed
  Compare 32 and -42
  Swap 32 and -42
  List after swap: [-81, 3, -71, 5, 26, -42, 32, -7, 47, 73]
  Compare 32 and -7
  Swap 32 and -7
  List after swap: [-81, 3, -71, 5, 26, -42, -7, 32, 47, 73]

Pass 4:
  Compare -81 and 3
  No swap needed
  Compare 3 and -71
  Swap 3 and -71
  List after swap: [-81, -71, 3, 5, 26, -42, -7, 32, 47, 73]
  Compare 3 and 5
  No swap needed
  Compare 5 and 26
  No swap needed
  Compare 26 and -42
  Swap 26 and -42
  List after swap: [-81, -71, 3, 5, -42, 26, -7, 32, 47, 73]
  Compare 26 and -7
  Swap 26 and -7
  List after swap: [-81, -71, 3, 5, -42, -7, 26, 32, 47, 73]

Pass 5:
  Compare -81 and -71
  No swap needed
  Compare -71 and 3
  No swap needed
  Compare 3 and 5
  No swap needed
  Compare 5 and -42
  Swap 5 and -42
  List after swap: [-81, -71, 3, -42, 5, -7, 26, 32, 47, 73]
  Compare 5 and -7
  Swap 5 and -7
  List after swap: [-81, -71, 3, -42, -7, 5, 26, 32, 47, 73]

Pass 6:
  Compare -81 and -71
  No swap needed
  Compare -71 and 3
  No swap needed
  Compare 3 and -42
  Swap 3 and -42
  List after swap: [-81, -71, -42, 3, -7, 5, 26, 32, 47, 73]
  Compare 3 and -7
  Swap 3 and -7
  List after swap: [-81, -71, -42, -7, 3, 5, 26, 32, 47, 73]

Pass 7:
  Compare -81 and -71
  No swap needed
  Compare -71 and -42
  No swap needed
  Compare -42 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -71, -42, -7, 3, 5, 26, 32, 47, 73]
</think>

<response>-81, -71, -42, -7, 3, 5, 26, 32, 47, 73</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 0, -16, 55, -27.

output:
<think>
Initial list: [0, -16, 55, -27]

Pass 1:
  Compare 0 and -16
  Swap 0 and -16
  List after swap: [-16, 0, 55, -27]
  Compare 0 and 55
  No swap needed
  Compare 55 and -27
  Swap 55 and -27
  List after swap: [-16, 0, -27, 55]

Pass 2:
  Compare -16 and 0
  No swap needed
  Compare 0 and -27
  Swap 0 and -27
  List after swap: [-16, -27, 0, 55]

Pass 3:
  Compare -16 and -27
  Swap -16 and -27
  List after swap: [-27, -16, 0, 55]

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

Final sorted list: [-27, -16, 0, 55]
</think>

<response>-27, -16, 0, 55</response>


input: Sort these integers 69, 26, -34, 18, -62, 43, 52, -71, -79, -67 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [69, 26, -34, 18, -62, 43, 52, -71, -79, -67]

Pass 1:
  Compare 69 and 26
  Swap 69 and 26
  List after swap: [26, 69, -34, 18, -62, 43, 52, -71, -79, -67]
  Compare 69 and -34
  Swap 69 and -34
  List after swap: [26, -34, 69, 18, -62, 43, 52, -71, -79, -67]
  Compare 69 and 18
  Swap 69 and 18
  List after swap: [26, -34, 18, 69, -62, 43, 52, -71, -79, -67]
  Compare 69 and -62
  Swap 69 and -62
  List after swap: [26, -34, 18, -62, 69, 43, 52, -71, -79, -67]
  Compare 69 and 43
  Swap 69 and 43
  List after swap: [26, -34, 18, -62, 43, 69, 52, -71, -79, -67]
  Compare 69 and 52
  Swap 69 and 52
  List after swap: [26, -34, 18, -62, 43, 52, 69, -71, -79, -67]
  Compare 69 and -71
  Swap 69 and -71
  List after swap: [26, -34, 18, -62, 43, 52, -71, 69, -79, -67]
  Compare 69 and -79
  Swap 69 and -79
  List after swap: [26, -34, 18, -62, 43, 52, -71, -79, 69, -67]
  Compare 69 and -67
  Swap 69 and -67
  List after swap: [26, -34, 18, -62, 43, 52, -71, -79, -67, 69]

Pass 2:
  Compare 26 and -34
  Swap 26 and -34
  List after swap: [-34, 26, 18, -62, 43, 52, -71, -79, -67, 69]
  Compare 26 and 18
  Swap 26 and 18
  List after swap: [-34, 18, 26, -62, 43, 52, -71, -79, -67, 69]
  Compare 26 and -62
  Swap 26 and -62
  List after swap: [-34, 18, -62, 26, 43, 52, -71, -79, -67, 69]
  Compare 26 and 43
  No swap needed
  Compare 43 and 52
  No swap needed
  Compare 52 and -71
  Swap 52 and -71
  List after swap: [-34, 18, -62, 26, 43, -71, 52, -79, -67, 69]
  Compare 52 and -79
  Swap 52 and -79
  List after swap: [-34, 18, -62, 26, 43, -71, -79, 52, -67, 69]
  Compare 52 and -67
  Swap 52 and -67
  List after swap: [-34, 18, -62, 26, 43, -71, -79, -67, 52, 69]

Pass 3:
  Compare -34 and 18
  No swap needed
  Compare 18 and -62
  Swap 18 and -62
  List after swap: [-34, -62, 18, 26, 43, -71, -79, -67, 52, 69]
  Compare 18 and 26
  No swap needed
  Compare 26 and 43
  No swap needed
  Compare 43 and -71
  Swap 43 and -71
  List after swap: [-34, -62, 18, 26, -71, 43, -79, -67, 52, 69]
  Compare 43 and -79
  Swap 43 and -79
  List after swap: [-34, -62, 18, 26, -71, -79, 43, -67, 52, 69]
  Compare 43 and -67
  Swap 43 and -67
  List after swap: [-34, -62, 18, 26, -71, -79, -67, 43, 52, 69]

Pass 4:
  Compare -34 and -62
  Swap -34 and -62
  List after swap: [-62, -34, 18, 26, -71, -79, -67, 43, 52, 69]
  Compare -34 and 18
  No swap needed
  Compare 18 and 26
  No swap needed
  Compare 26 and -71
  Swap 26 and -71
  List after swap: [-62, -34, 18, -71, 26, -79, -67, 43, 52, 69]
  Compare 26 and -79
  Swap 26 and -79
  List after swap: [-62, -34, 18, -71, -79, 26, -67, 43, 52, 69]
  Compare 26 and -67
  Swap 26 and -67
  List after swap: [-62, -34, 18, -71, -79, -67, 26, 43, 52, 69]

Pass 5:
  Compare -62 and -34
  No swap needed
  Compare -34 and 18
  No swap needed
  Compare 18 and -71
  Swap 18 and -71
  List after swap: [-62, -34, -71, 18, -79, -67, 26, 43, 52, 69]
  Compare 18 and -79
  Swap 18 and -79
  List after swap: [-62, -34, -71, -79, 18, -67, 26, 43, 52, 69]
  Compare 18 and -67
  Swap 18 and -67
  List after swap: [-62, -34, -71, -79, -67, 18, 26, 43, 52, 69]

Pass 6:
  Compare -62 and -34
  No swap needed
  Compare -34 and -71
  Swap -34 and -71
  List after swap: [-62, -71, -34, -79, -67, 18, 26, 43, 52, 69]
  Compare -34 and -79
  Swap -34 and -79
  List after swap: [-62, -71, -79, -34, -67, 18, 26, 43, 52, 69]
  Compare -34 and -67
  Swap -34 and -67
  List after swap: [-62, -71, -79, -67, -34, 18, 26, 43, 52, 69]

Pass 7:
  Compare -62 and -71
  Swap -62 and -71
  List after swap: [-71, -62, -79, -67, -34, 18, 26, 43, 52, 69]
  Compare -62 and -79
  Swap -62 and -79
  List after swap: [-71, -79, -62, -67, -34, 18, 26, 43, 52, 69]
  Compare -62 and -67
  Swap -62 and -67
  List after swap: [-71, -79, -67, -62, -34, 18, 26, 43, 52, 69]

Pass 8:
  Compare -71 and -79
  Swap -71 and -79
  List after swap: [-79, -71, -67, -62, -34, 18, 26, 43, 52, 69]
  Compare -71 and -67
  No swap needed

Pass 9:
  Compare -79 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -71, -67, -62, -34, 18, 26, 43, 52, 69]
</think>

<response>-79, -71, -67, -62, -34, 18, 26, 43, 52, 69</response>


input: Implement bubble sort on -43, 83, 47, -13, 99, 13, 1 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-43, 83, 47, -13, 99, 13, 1]

Pass 1:
  Compare -43 and 83
  No swap needed
  Compare 83 and 47
  Swap 83 and 47
  List after swap: [-43, 47, 83, -13, 99, 13, 1]
  Compare 83 and -13
  Swap 83 and -13
  List after swap: [-43, 47, -13, 83, 99, 13, 1]
  Compare 83 and 99
  No swap needed
  Compare 99 and 13
  Swap 99 and 13
  List after swap: [-43, 47, -13, 83, 13, 99, 1]
  Compare 99 and 1
  Swap 99 and 1
  List after swap: [-43, 47, -13, 83, 13, 1, 99]

Pass 2:
  Compare -43 and 47
  No swap needed
  Compare 47 and -13
  Swap 47 and -13
  List after swap: [-43, -13, 47, 83, 13, 1, 99]
  Compare 47 and 83
  No swap needed
  Compare 83 and 13
  Swap 83 and 13
  List after swap: [-43, -13, 47, 13, 83, 1, 99]
  Compare 83 and 1
  Swap 83 and 1
  List after swap: [-43, -13, 47, 13, 1, 83, 99]

Pass 3:
  Compare -43 and -13
  No swap needed
  Compare -13 and 47
  No swap needed
  Compare 47 and 13
  Swap 47 and 13
  List after swap: [-43, -13, 13, 47, 1, 83, 99]
  Compare 47 and 1
  Swap 47 and 1
  List after swap: [-43, -13, 13, 1, 47, 83, 99]

Pass 4:
  Compare -43 and -13
  No swap needed
  Compare -13 and 13
  No swap needed
  Compare 13 and 1
  Swap 13 and 1
  List after swap: [-43, -13, 1, 13, 47, 83, 99]

Pass 5:
  Compare -43 and -13
  No swap needed
  Compare -13 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-43, -13, 1, 13, 47, 83, 99]
</think>

<response>-43, -13, 1, 13, 47, 83, 99</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -77, 74, 53, 82, 89, -90.

output:
<think>
Initial list: [-77, 74, 53, 82, 89, -90]

Pass 1:
  Compare -77 and 74
  No swap needed
  Compare 74 and 53
  Swap 74 and 53
  List after swap: [-77, 53, 74, 82, 89, -90]
  Compare 74 and 82
  No swap needed
  Compare 82 and 89
  No swap needed
  Compare 89 and -90
  Swap 89 and -90
  List after swap: [-77, 53, 74, 82, -90, 89]

Pass 2:
  Compare -77 and 53
  No swap needed
  Compare 53 and 74
  No swap needed
  Compare 74 and 82
  No swap needed
  Compare 82 and -90
  Swap 82 and -90
  List after swap: [-77, 53, 74, -90, 82, 89]

Pass 3:
  Compare -77 and 53
  No swap needed
  Compare 53 and 74
  No swap needed
  Compare 74 and -90
  Swap 74 and -90
  List after swap: [-77, 53, -90, 74, 82, 89]

Pass 4:
  Compare -77 and 53
  No swap needed
  Compare 53 and -90
  Swap 53 and -90
  List after swap: [-77, -90, 53, 74, 82, 89]

Pass 5:
  Compare -77 and -90
  Swap -77 and -90
  List after swap: [-90, -77, 53, 74, 82, 89]

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

Final sorted list: [-90, -77, 53, 74, 82, 89]
</think>

<response>-90, -77, 53, 74, 82, 89</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 69, -37, 27, -4.

output:
<think>
Initial list: [69, -37, 27, -4]

Pass 1:
  Compare 69 and -37
  Swap 69 and -37
  List after swap: [-37, 69, 27, -4]
  Compare 69 and 27
  Swap 69 and 27
  List after swap: [-37, 27, 69, -4]
  Compare 69 and -4
  Swap 69 and -4
  List after swap: [-37, 27, -4, 69]

Pass 2:
  Compare -37 and 27
  No swap needed
  Compare 27 and -4
  Swap 27 and -4
  List after swap: [-37, -4, 27, 69]

Pass 3:
  Compare -37 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-37, -4, 27, 69]
</think>

<response>-37, -4, 27, 69</response>


input: Implement bubble sort on 84, -75, 5 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [84, -75, 5]

Pass 1:
  Compare 84 and -75
  Swap 84 and -75
  List after swap: [-75, 84, 5]
  Compare 84 and 5
  Swap 84 and 5
  List after swap: [-75, 5, 84]

Pass 2:
  Compare -75 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, 5, 84]
</think>

<response>-75, 5, 84</response>


input: Carry out the bubble sort algorithm on -83, 62, -12 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-83, 62, -12]

Pass 1:
  Compare -83 and 62
  No swap needed
  Compare 62 and -12
  Swap 62 and -12
  List after swap: [-83, -12, 62]

Pass 2:
  Compare -83 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -12, 62]
</think>

<response>-83, -12, 62</response>


input: Using the bubble sort method, sort 92, 31, 54, 63, 94, 27, 12, 60 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [92, 31, 54, 63, 94, 27, 12, 60]

Pass 1:
  Compare 92 and 31
  Swap 92 and 31
  List after swap: [31, 92, 54, 63, 94, 27, 12, 60]
  Compare 92 and 54
  Swap 92 and 54
  List after swap: [31, 54, 92, 63, 94, 27, 12, 60]
  Compare 92 and 63
  Swap 92 and 63
  List after swap: [31, 54, 63, 92, 94, 27, 12, 60]
  Compare 92 and 94
  No swap needed
  Compare 94 and 27
  Swap 94 and 27
  List after swap: [31, 54, 63, 92, 27, 94, 12, 60]
  Compare 94 and 12
  Swap 94 and 12
  List after swap: [31, 54, 63, 92, 27, 12, 94, 60]
  Compare 94 and 60
  Swap 94 and 60
  List after swap: [31, 54, 63, 92, 27, 12, 60, 94]

Pass 2:
  Compare 31 and 54
  No swap needed
  Compare 54 and 63
  No swap needed
  Compare 63 and 92
  No swap needed
  Compare 92 and 27
  Swap 92 and 27
  List after swap: [31, 54, 63, 27, 92, 12, 60, 94]
  Compare 92 and 12
  Swap 92 and 12
  List after swap: [31, 54, 63, 27, 12, 92, 60, 94]
  Compare 92 and 60
  Swap 92 and 60
  List after swap: [31, 54, 63, 27, 12, 60, 92, 94]

Pass 3:
  Compare 31 and 54
  No swap needed
  Compare 54 and 63
  No swap needed
  Compare 63 and 27
  Swap 63 and 27
  List after swap: [31, 54, 27, 63, 12, 60, 92, 94]
  Compare 63 and 12
  Swap 63 and 12
  List after swap: [31, 54, 27, 12, 63, 60, 92, 94]
  Compare 63 and 60
  Swap 63 and 60
  List after swap: [31, 54, 27, 12, 60, 63, 92, 94]

Pass 4:
  Compare 31 and 54
  No swap needed
  Compare 54 and 27
  Swap 54 and 27
  List after swap: [31, 27, 54, 12, 60, 63, 92, 94]
  Compare 54 and 12
  Swap 54 and 12
  List after swap: [31, 27, 12, 54, 60, 63, 92, 94]
  Compare 54 and 60
  No swap needed

Pass 5:
  Compare 31 and 27
  Swap 31 and 27
  List after swap: [27, 31, 12, 54, 60, 63, 92, 94]
  Compare 31 and 12
  Swap 31 and 12
  List after swap: [27, 12, 31, 54, 60, 63, 92, 94]
  Compare 31 and 54
  No swap needed

Pass 6:
  Compare 27 and 12
  Swap 27 and 12
  List after swap: [12, 27, 31, 54, 60, 63, 92, 94]
  Compare 27 and 31
  No swap needed

Pass 7:
  Compare 12 and 27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [12, 27, 31, 54, 60, 63, 92, 94]
</think>

<response>12, 27, 31, 54, 60, 63, 92, 94</response>


input: Perform a bubble sort on the integers -73, 40, -58, 25, 19, 48, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-73, 40, -58, 25, 19, 48]

Pass 1:
  Compare -73 and 40
  No swap needed
  Compare 40 and -58
  Swap 40 and -58
  List after swap: [-73, -58, 40, 25, 19, 48]
  Compare 40 and 25
  Swap 40 and 25
  List after swap: [-73, -58, 25, 40, 19, 48]
  Compare 40 and 19
  Swap 40 and 19
  List after swap: [-73, -58, 25, 19, 40, 48]
  Compare 40 and 48
  No swap needed

Pass 2:
  Compare -73 and -58
  No swap needed
  Compare -58 and 25
  No swap needed
  Compare 25 and 19
  Swap 25 and 19
  List after swap: [-73, -58, 19, 25, 40, 48]
  Compare 25 and 40
  No swap needed

Pass 3:
  Compare -73 and -58
  No swap needed
  Compare -58 and 19
  No swap needed
  Compare 19 and 25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -58, 19, 25, 40, 48]
</think>

<response>-73, -58, 19, 25, 40, 48</response>


input: Carry out the bubble sort algorithm on -25, -63, 42, 87, -6, 77, 19, 24 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-25, -63, 42, 87, -6, 77, 19, 24]

Pass 1:
  Compare -25 and -63
  Swap -25 and -63
  List after swap: [-63, -25, 42, 87, -6, 77, 19, 24]
  Compare -25 and 42
  No swap needed
  Compare 42 and 87
  No swap needed
  Compare 87 and -6
  Swap 87 and -6
  List after swap: [-63, -25, 42, -6, 87, 77, 19, 24]
  Compare 87 and 77
  Swap 87 and 77
  List after swap: [-63, -25, 42, -6, 77, 87, 19, 24]
  Compare 87 and 19
  Swap 87 and 19
  List after swap: [-63, -25, 42, -6, 77, 19, 87, 24]
  Compare 87 and 24
  Swap 87 and 24
  List after swap: [-63, -25, 42, -6, 77, 19, 24, 87]

Pass 2:
  Compare -63 and -25
  No swap needed
  Compare -25 and 42
  No swap needed
  Compare 42 and -6
  Swap 42 and -6
  List after swap: [-63, -25, -6, 42, 77, 19, 24, 87]
  Compare 42 and 77
  No swap needed
  Compare 77 and 19
  Swap 77 and 19
  List after swap: [-63, -25, -6, 42, 19, 77, 24, 87]
  Compare 77 and 24
  Swap 77 and 24
  List after swap: [-63, -25, -6, 42, 19, 24, 77, 87]

Pass 3:
  Compare -63 and -25
  No swap needed
  Compare -25 and -6
  No swap needed
  Compare -6 and 42
  No swap needed
  Compare 42 and 19
  Swap 42 and 19
  List after swap: [-63, -25, -6, 19, 42, 24, 77, 87]
  Compare 42 and 24
  Swap 42 and 24
  List after swap: [-63, -25, -6, 19, 24, 42, 77, 87]

Pass 4:
  Compare -63 and -25
  No swap needed
  Compare -25 and -6
  No swap needed
  Compare -6 and 19
  No swap needed
  Compare 19 and 24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -25, -6, 19, 24, 42, 77, 87]
</think>

<response>-63, -25, -6, 19, 24, 42, 77, 87</response>


input: Execute bubble sort to sort 52, 97 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [52, 97]

Pass 1:
  Compare 52 and 97
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [52, 97]
</think>

<response>52, 97</response>


input: Carry out the bubble sort algorithm on -79, -21, -40, 82 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-79, -21, -40, 82]

Pass 1:
  Compare -79 and -21
  No swap needed
  Compare -21 and -40
  Swap -21 and -40
  List after swap: [-79, -40, -21, 82]
  Compare -21 and 82
  No swap needed

Pass 2:
  Compare -79 and -40
  No swap needed
  Compare -40 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -40, -21, 82]
</think>

<response>-79, -40, -21, 82</response>


input: Sort the list -69, -2, 25, -21, -25, 6, -68, 27, -32 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-69, -2, 25, -21, -25, 6, -68, 27, -32]

Pass 1:
  Compare -69 and -2
  No swap needed
  Compare -2 and 25
  No swap needed
  Compare 25 and -21
  Swap 25 and -21
  List after swap: [-69, -2, -21, 25, -25, 6, -68, 27, -32]
  Compare 25 and -25
  Swap 25 and -25
  List after swap: [-69, -2, -21, -25, 25, 6, -68, 27, -32]
  Compare 25 and 6
  Swap 25 and 6
  List after swap: [-69, -2, -21, -25, 6, 25, -68, 27, -32]
  Compare 25 and -68
  Swap 25 and -68
  List after swap: [-69, -2, -21, -25, 6, -68, 25, 27, -32]
  Compare 25 and 27
  No swap needed
  Compare 27 and -32
  Swap 27 and -32
  List after swap: [-69, -2, -21, -25, 6, -68, 25, -32, 27]

Pass 2:
  Compare -69 and -2
  No swap needed
  Compare -2 and -21
  Swap -2 and -21
  List after swap: [-69, -21, -2, -25, 6, -68, 25, -32, 27]
  Compare -2 and -25
  Swap -2 and -25
  List after swap: [-69, -21, -25, -2, 6, -68, 25, -32, 27]
  Compare -2 and 6
  No swap needed
  Compare 6 and -68
  Swap 6 and -68
  List after swap: [-69, -21, -25, -2, -68, 6, 25, -32, 27]
  Compare 6 and 25
  No swap needed
  Compare 25 and -32
  Swap 25 and -32
  List after swap: [-69, -21, -25, -2, -68, 6, -32, 25, 27]

Pass 3:
  Compare -69 and -21
  No swap needed
  Compare -21 and -25
  Swap -21 and -25
  List after swap: [-69, -25, -21, -2, -68, 6, -32, 25, 27]
  Compare -21 and -2
  No swap needed
  Compare -2 and -68
  Swap -2 and -68
  List after swap: [-69, -25, -21, -68, -2, 6, -32, 25, 27]
  Compare -2 and 6
  No swap needed
  Compare 6 and -32
  Swap 6 and -32
  List after swap: [-69, -25, -21, -68, -2, -32, 6, 25, 27]

Pass 4:
  Compare -69 and -25
  No swap needed
  Compare -25 and -21
  No swap needed
  Compare -21 and -68
  Swap -21 and -68
  List after swap: [-69, -25, -68, -21, -2, -32, 6, 25, 27]
  Compare -21 and -2
  No swap needed
  Compare -2 and -32
  Swap -2 and -32
  List after swap: [-69, -25, -68, -21, -32, -2, 6, 25, 27]

Pass 5:
  Compare -69 and -25
  No swap needed
  Compare -25 and -68
  Swap -25 and -68
  List after swap: [-69, -68, -25, -21, -32, -2, 6, 25, 27]
  Compare -25 and -21
  No swap needed
  Compare -21 and -32
  Swap -21 and -32
  List after swap: [-69, -68, -25, -32, -21, -2, 6, 25, 27]

Pass 6:
  Compare -69 and -68
  No swap needed
  Compare -68 and -25
  No swap needed
  Compare -25 and -32
  Swap -25 and -32
  List after swap: [-69, -68, -32, -25, -21, -2, 6, 25, 27]

Pass 7:
  Compare -69 and -68
  No swap needed
  Compare -68 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -68, -32, -25, -21, -2, 6, 25, 27]
</think>

<response>-69, -68, -32, -25, -21, -2, 6, 25, 27</response>


input: Execute bubble sort to sort -18, 30, -72, 65, -1, 91 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-18, 30, -72, 65, -1, 91]

Pass 1:
  Compare -18 and 30
  No swap needed
  Compare 30 and -72
  Swap 30 and -72
  List after swap: [-18, -72, 30, 65, -1, 91]
  Compare 30 and 65
  No swap needed
  Compare 65 and -1
  Swap 65 and -1
  List after swap: [-18, -72, 30, -1, 65, 91]
  Compare 65 and 91
  No swap needed

Pass 2:
  Compare -18 and -72
  Swap -18 and -72
  List after swap: [-72, -18, 30, -1, 65, 91]
  Compare -18 and 30
  No swap needed
  Compare 30 and -1
  Swap 30 and -1
  List after swap: [-72, -18, -1, 30, 65, 91]
  Compare 30 and 65
  No swap needed

Pass 3:
  Compare -72 and -18
  No swap needed
  Compare -18 and -1
  No swap needed
  Compare -1 and 30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -18, -1, 30, 65, 91]
</think>

<response>-72, -18, -1, 30, 65, 91</response>


input: Execute bubble sort to sort -5, -70 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-5, -70]

Pass 1:
  Compare -5 and -70
  Swap -5 and -70
  List after swap: [-70, -5]

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

Final sorted list: [-70, -5]
</think>

<response>-70, -5</response>


input: Carry out the bubble sort algorithm on 31, -46, 58, 9 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [31, -46, 58, 9]

Pass 1:
  Compare 31 and -46
  Swap 31 and -46
  List after swap: [-46, 31, 58, 9]
  Compare 31 and 58
  No swap needed
  Compare 58 and 9
  Swap 58 and 9
  List after swap: [-46, 31, 9, 58]

Pass 2:
  Compare -46 and 31
  No swap needed
  Compare 31 and 9
  Swap 31 and 9
  List after swap: [-46, 9, 31, 58]

Pass 3:
  Compare -46 and 9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-46, 9, 31, 58]
</think>

<response>-46, 9, 31, 58</response>


input: Use the bubble sort technique to reorder 63, -54, -10, 32, -41, -62, 83, 16, -19 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [63, -54, -10, 32, -41, -62, 83, 16, -19]

Pass 1:
  Compare 63 and -54
  Swap 63 and -54
  List after swap: [-54, 63, -10, 32, -41, -62, 83, 16, -19]
  Compare 63 and -10
  Swap 63 and -10
  List after swap: [-54, -10, 63, 32, -41, -62, 83, 16, -19]
  Compare 63 and 32
  Swap 63 and 32
  List after swap: [-54, -10, 32, 63, -41, -62, 83, 16, -19]
  Compare 63 and -41
  Swap 63 and -41
  List after swap: [-54, -10, 32, -41, 63, -62, 83, 16, -19]
  Compare 63 and -62
  Swap 63 and -62
  List after swap: [-54, -10, 32, -41, -62, 63, 83, 16, -19]
  Compare 63 and 83
  No swap needed
  Compare 83 and 16
  Swap 83 and 16
  List after swap: [-54, -10, 32, -41, -62, 63, 16, 83, -19]
  Compare 83 and -19
  Swap 83 and -19
  List after swap: [-54, -10, 32, -41, -62, 63, 16, -19, 83]

Pass 2:
  Compare -54 and -10
  No swap needed
  Compare -10 and 32
  No swap needed
  Compare 32 and -41
  Swap 32 and -41
  List after swap: [-54, -10, -41, 32, -62, 63, 16, -19, 83]
  Compare 32 and -62
  Swap 32 and -62
  List after swap: [-54, -10, -41, -62, 32, 63, 16, -19, 83]
  Compare 32 and 63
  No swap needed
  Compare 63 and 16
  Swap 63 and 16
  List after swap: [-54, -10, -41, -62, 32, 16, 63, -19, 83]
  Compare 63 and -19
  Swap 63 and -19
  List after swap: [-54, -10, -41, -62, 32, 16, -19, 63, 83]

Pass 3:
  Compare -54 and -10
  No swap needed
  Compare -10 and -41
  Swap -10 and -41
  List after swap: [-54, -41, -10, -62, 32, 16, -19, 63, 83]
  Compare -10 and -62
  Swap -10 and -62
  List after swap: [-54, -41, -62, -10, 32, 16, -19, 63, 83]
  Compare -10 and 32
  No swap needed
  Compare 32 and 16
  Swap 32 and 16
  List after swap: [-54, -41, -62, -10, 16, 32, -19, 63, 83]
  Compare 32 and -19
  Swap 32 and -19
  List after swap: [-54, -41, -62, -10, 16, -19, 32, 63, 83]

Pass 4:
  Compare -54 and -41
  No swap needed
  Compare -41 and -62
  Swap -41 and -62
  List after swap: [-54, -62, -41, -10, 16, -19, 32, 63, 83]
  Compare -41 and -10
  No swap needed
  Compare -10 and 16
  No swap needed
  Compare 16 and -19
  Swap 16 and -19
  List after swap: [-54, -62, -41, -10, -19, 16, 32, 63, 83]

Pass 5:
  Compare -54 and -62
  Swap -54 and -62
  List after swap: [-62, -54, -41, -10, -19, 16, 32, 63, 83]
  Compare -54 and -41
  No swap needed
  Compare -41 and -10
  No swap needed
  Compare -10 and -19
  Swap -10 and -19
  List after swap: [-62, -54, -41, -19, -10, 16, 32, 63, 83]

Pass 6:
  Compare -62 and -54
  No swap needed
  Compare -54 and -41
  No swap needed
  Compare -41 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -54, -41, -19, -10, 16, 32, 63, 83]
</think>

<response>-62, -54, -41, -19, -10, 16, 32, 63, 83</response>


input: Sort these integers 52, 70, -44, -50, 95, -32, 85, 4, -92, -57 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [52, 70, -44, -50, 95, -32, 85, 4, -92, -57]

Pass 1:
  Compare 52 and 70
  No swap needed
  Compare 70 and -44
  Swap 70 and -44
  List after swap: [52, -44, 70, -50, 95, -32, 85, 4, -92, -57]
  Compare 70 and -50
  Swap 70 and -50
  List after swap: [52, -44, -50, 70, 95, -32, 85, 4, -92, -57]
  Compare 70 and 95
  No swap needed
  Compare 95 and -32
  Swap 95 and -32
  List after swap: [52, -44, -50, 70, -32, 95, 85, 4, -92, -57]
  Compare 95 and 85
  Swap 95 and 85
  List after swap: [52, -44, -50, 70, -32, 85, 95, 4, -92, -57]
  Compare 95 and 4
  Swap 95 and 4
  List after swap: [52, -44, -50, 70, -32, 85, 4, 95, -92, -57]
  Compare 95 and -92
  Swap 95 and -92
  List after swap: [52, -44, -50, 70, -32, 85, 4, -92, 95, -57]
  Compare 95 and -57
  Swap 95 and -57
  List after swap: [52, -44, -50, 70, -32, 85, 4, -92, -57, 95]

Pass 2:
  Compare 52 and -44
  Swap 52 and -44
  List after swap: [-44, 52, -50, 70, -32, 85, 4, -92, -57, 95]
  Compare 52 and -50
  Swap 52 and -50
  List after swap: [-44, -50, 52, 70, -32, 85, 4, -92, -57, 95]
  Compare 52 and 70
  No swap needed
  Compare 70 and -32
  Swap 70 and -32
  List after swap: [-44, -50, 52, -32, 70, 85, 4, -92, -57, 95]
  Compare 70 and 85
  No swap needed
  Compare 85 and 4
  Swap 85 and 4
  List after swap: [-44, -50, 52, -32, 70, 4, 85, -92, -57, 95]
  Compare 85 and -92
  Swap 85 and -92
  List after swap: [-44, -50, 52, -32, 70, 4, -92, 85, -57, 95]
  Compare 85 and -57
  Swap 85 and -57
  List after swap: [-44, -50, 52, -32, 70, 4, -92, -57, 85, 95]

Pass 3:
  Compare -44 and -50
  Swap -44 and -50
  List after swap: [-50, -44, 52, -32, 70, 4, -92, -57, 85, 95]
  Compare -44 and 52
  No swap needed
  Compare 52 and -32
  Swap 52 and -32
  List after swap: [-50, -44, -32, 52, 70, 4, -92, -57, 85, 95]
  Compare 52 and 70
  No swap needed
  Compare 70 and 4
  Swap 70 and 4
  List after swap: [-50, -44, -32, 52, 4, 70, -92, -57, 85, 95]
  Compare 70 and -92
  Swap 70 and -92
  List after swap: [-50, -44, -32, 52, 4, -92, 70, -57, 85, 95]
  Compare 70 and -57
  Swap 70 and -57
  List after swap: [-50, -44, -32, 52, 4, -92, -57, 70, 85, 95]

Pass 4:
  Compare -50 and -44
  No swap needed
  Compare -44 and -32
  No swap needed
  Compare -32 and 52
  No swap needed
  Compare 52 and 4
  Swap 52 and 4
  List after swap: [-50, -44, -32, 4, 52, -92, -57, 70, 85, 95]
  Compare 52 and -92
  Swap 52 and -92
  List after swap: [-50, -44, -32, 4, -92, 52, -57, 70, 85, 95]
  Compare 52 and -57
  Swap 52 and -57
  List after swap: [-50, -44, -32, 4, -92, -57, 52, 70, 85, 95]

Pass 5:
  Compare -50 and -44
  No swap needed
  Compare -44 and -32
  No swap needed
  Compare -32 and 4
  No swap needed
  Compare 4 and -92
  Swap 4 and -92
  List after swap: [-50, -44, -32, -92, 4, -57, 52, 70, 85, 95]
  Compare 4 and -57
  Swap 4 and -57
  List after swap: [-50, -44, -32, -92, -57, 4, 52, 70, 85, 95]

Pass 6:
  Compare -50 and -44
  No swap needed
  Compare -44 and -32
  No swap needed
  Compare -32 and -92
  Swap -32 and -92
  List after swap: [-50, -44, -92, -32, -57, 4, 52, 70, 85, 95]
  Compare -32 and -57
  Swap -32 and -57
  List after swap: [-50, -44, -92, -57, -32, 4, 52, 70, 85, 95]

Pass 7:
  Compare -50 and -44
  No swap needed
  Compare -44 and -92
  Swap -44 and -92
  List after swap: [-50, -92, -44, -57, -32, 4, 52, 70, 85, 95]
  Compare -44 and -57
  Swap -44 and -57
  List after swap: [-50, -92, -57, -44, -32, 4, 52, 70, 85, 95]

Pass 8:
  Compare -50 and -92
  Swap -50 and -92
  List after swap: [-92, -50, -57, -44, -32, 4, 52, 70, 85, 95]
  Compare -50 and -57
  Swap -50 and -57
  List after swap: [-92, -57, -50, -44, -32, 4, 52, 70, 85, 95]

Pass 9:
  Compare -92 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -57, -50, -44, -32, 4, 52, 70, 85, 95]
</think>

<response>-92, -57, -50, -44, -32, 4, 52, 70, 85, 95</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -52, 52.

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

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

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

<response>-52, 52</response>


input: Implement bubble sort on -56, 80, 5, 34, -11, 51, -75, -10 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-56, 80, 5, 34, -11, 51, -75, -10]

Pass 1:
  Compare -56 and 80
  No swap needed
  Compare 80 and 5
  Swap 80 and 5
  List after swap: [-56, 5, 80, 34, -11, 51, -75, -10]
  Compare 80 and 34
  Swap 80 and 34
  List after swap: [-56, 5, 34, 80, -11, 51, -75, -10]
  Compare 80 and -11
  Swap 80 and -11
  List after swap: [-56, 5, 34, -11, 80, 51, -75, -10]
  Compare 80 and 51
  Swap 80 and 51
  List after swap: [-56, 5, 34, -11, 51, 80, -75, -10]
  Compare 80 and -75
  Swap 80 and -75
  List after swap: [-56, 5, 34, -11, 51, -75, 80, -10]
  Compare 80 and -10
  Swap 80 and -10
  List after swap: [-56, 5, 34, -11, 51, -75, -10, 80]

Pass 2:
  Compare -56 and 5
  No swap needed
  Compare 5 and 34
  No swap needed
  Compare 34 and -11
  Swap 34 and -11
  List after swap: [-56, 5, -11, 34, 51, -75, -10, 80]
  Compare 34 and 51
  No swap needed
  Compare 51 and -75
  Swap 51 and -75
  List after swap: [-56, 5, -11, 34, -75, 51, -10, 80]
  Compare 51 and -10
  Swap 51 and -10
  List after swap: [-56, 5, -11, 34, -75, -10, 51, 80]

Pass 3:
  Compare -56 and 5
  No swap needed
  Compare 5 and -11
  Swap 5 and -11
  List after swap: [-56, -11, 5, 34, -75, -10, 51, 80]
  Compare 5 and 34
  No swap needed
  Compare 34 and -75
  Swap 34 and -75
  List after swap: [-56, -11, 5, -75, 34, -10, 51, 80]
  Compare 34 and -10
  Swap 34 and -10
  List after swap: [-56, -11, 5, -75, -10, 34, 51, 80]

Pass 4:
  Compare -56 and -11
  No swap needed
  Compare -11 and 5
  No swap needed
  Compare 5 and -75
  Swap 5 and -75
  List after swap: [-56, -11, -75, 5, -10, 34, 51, 80]
  Compare 5 and -10
  Swap 5 and -10
  List after swap: [-56, -11, -75, -10, 5, 34, 51, 80]

Pass 5:
  Compare -56 and -11
  No swap needed
  Compare -11 and -75
  Swap -11 and -75
  List after swap: [-56, -75, -11, -10, 5, 34, 51, 80]
  Compare -11 and -10
  No swap needed

Pass 6:
  Compare -56 and -75
  Swap -56 and -75
  List after swap: [-75, -56, -11, -10, 5, 34, 51, 80]
  Compare -56 and -11
  No swap needed

Pass 7:
  Compare -75 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -56, -11, -10, 5, 34, 51, 80]
</think>

<response>-75, -56, -11, -10, 5, 34, 51, 80</response>


input: Use the bubble sort technique to reorder -65, -95, 46, 99, 37, -12, 35, 50 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-65, -95, 46, 99, 37, -12, 35, 50]

Pass 1:
  Compare -65 and -95
  Swap -65 and -95
  List after swap: [-95, -65, 46, 99, 37, -12, 35, 50]
  Compare -65 and 46
  No swap needed
  Compare 46 and 99
  No swap needed
  Compare 99 and 37
  Swap 99 and 37
  List after swap: [-95, -65, 46, 37, 99, -12, 35, 50]
  Compare 99 and -12
  Swap 99 and -12
  List after swap: [-95, -65, 46, 37, -12, 99, 35, 50]
  Compare 99 and 35
  Swap 99 and 35
  List after swap: [-95, -65, 46, 37, -12, 35, 99, 50]
  Compare 99 and 50
  Swap 99 and 50
  List after swap: [-95, -65, 46, 37, -12, 35, 50, 99]

Pass 2:
  Compare -95 and -65
  No swap needed
  Compare -65 and 46
  No swap needed
  Compare 46 and 37
  Swap 46 and 37
  List after swap: [-95, -65, 37, 46, -12, 35, 50, 99]
  Compare 46 and -12
  Swap 46 and -12
  List after swap: [-95, -65, 37, -12, 46, 35, 50, 99]
  Compare 46 and 35
  Swap 46 and 35
  List after swap: [-95, -65, 37, -12, 35, 46, 50, 99]
  Compare 46 and 50
  No swap needed

Pass 3:
  Compare -95 and -65
  No swap needed
  Compare -65 and 37
  No swap needed
  Compare 37 and -12
  Swap 37 and -12
  List after swap: [-95, -65, -12, 37, 35, 46, 50, 99]
  Compare 37 and 35
  Swap 37 and 35
  List after swap: [-95, -65, -12, 35, 37, 46, 50, 99]
  Compare 37 and 46
  No swap needed

Pass 4:
  Compare -95 and -65
  No swap needed
  Compare -65 and -12
  No swap needed
  Compare -12 and 35
  No swap needed
  Compare 35 and 37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -65, -12, 35, 37, 46, 50, 99]
</think>

<response>-95, -65, -12, 35, 37, 46, 50, 99</response>


input: Perform a bubble sort on the integers -90, 90, 20, 35, 61, -11, -34, -35, 47, -63, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-90, 90, 20, 35, 61, -11, -34, -35, 47, -63]

Pass 1:
  Compare -90 and 90
  No swap needed
  Compare 90 and 20
  Swap 90 and 20
  List after swap: [-90, 20, 90, 35, 61, -11, -34, -35, 47, -63]
  Compare 90 and 35
  Swap 90 and 35
  List after swap: [-90, 20, 35, 90, 61, -11, -34, -35, 47, -63]
  Compare 90 and 61
  Swap 90 and 61
  List after swap: [-90, 20, 35, 61, 90, -11, -34, -35, 47, -63]
  Compare 90 and -11
  Swap 90 and -11
  List after swap: [-90, 20, 35, 61, -11, 90, -34, -35, 47, -63]
  Compare 90 and -34
  Swap 90 and -34
  List after swap: [-90, 20, 35, 61, -11, -34, 90, -35, 47, -63]
  Compare 90 and -35
  Swap 90 and -35
  List after swap: [-90, 20, 35, 61, -11, -34, -35, 90, 47, -63]
  Compare 90 and 47
  Swap 90 and 47
  List after swap: [-90, 20, 35, 61, -11, -34, -35, 47, 90, -63]
  Compare 90 and -63
  Swap 90 and -63
  List after swap: [-90, 20, 35, 61, -11, -34, -35, 47, -63, 90]

Pass 2:
  Compare -90 and 20
  No swap needed
  Compare 20 and 35
  No swap needed
  Compare 35 and 61
  No swap needed
  Compare 61 and -11
  Swap 61 and -11
  List after swap: [-90, 20, 35, -11, 61, -34, -35, 47, -63, 90]
  Compare 61 and -34
  Swap 61 and -34
  List after swap: [-90, 20, 35, -11, -34, 61, -35, 47, -63, 90]
  Compare 61 and -35
  Swap 61 and -35
  List after swap: [-90, 20, 35, -11, -34, -35, 61, 47, -63, 90]
  Compare 61 and 47
  Swap 61 and 47
  List after swap: [-90, 20, 35, -11, -34, -35, 47, 61, -63, 90]
  Compare 61 and -63
  Swap 61 and -63
  List after swap: [-90, 20, 35, -11, -34, -35, 47, -63, 61, 90]

Pass 3:
  Compare -90 and 20
  No swap needed
  Compare 20 and 35
  No swap needed
  Compare 35 and -11
  Swap 35 and -11
  List after swap: [-90, 20, -11, 35, -34, -35, 47, -63, 61, 90]
  Compare 35 and -34
  Swap 35 and -34
  List after swap: [-90, 20, -11, -34, 35, -35, 47, -63, 61, 90]
  Compare 35 and -35
  Swap 35 and -35
  List after swap: [-90, 20, -11, -34, -35, 35, 47, -63, 61, 90]
  Compare 35 and 47
  No swap needed
  Compare 47 and -63
  Swap 47 and -63
  List after swap: [-90, 20, -11, -34, -35, 35, -63, 47, 61, 90]

Pass 4:
  Compare -90 and 20
  No swap needed
  Compare 20 and -11
  Swap 20 and -11
  List after swap: [-90, -11, 20, -34, -35, 35, -63, 47, 61, 90]
  Compare 20 and -34
  Swap 20 and -34
  List after swap: [-90, -11, -34, 20, -35, 35, -63, 47, 61, 90]
  Compare 20 and -35
  Swap 20 and -35
  List after swap: [-90, -11, -34, -35, 20, 35, -63, 47, 61, 90]
  Compare 20 and 35
  No swap needed
  Compare 35 and -63
  Swap 35 and -63
  List after swap: [-90, -11, -34, -35, 20, -63, 35, 47, 61, 90]

Pass 5:
  Compare -90 and -11
  No swap needed
  Compare -11 and -34
  Swap -11 and -34
  List after swap: [-90, -34, -11, -35, 20, -63, 35, 47, 61, 90]
  Compare -11 and -35
  Swap -11 and -35
  List after swap: [-90, -34, -35, -11, 20, -63, 35, 47, 61, 90]
  Compare -11 and 20
  No swap needed
  Compare 20 and -63
  Swap 20 and -63
  List after swap: [-90, -34, -35, -11, -63, 20, 35, 47, 61, 90]

Pass 6:
  Compare -90 and -34
  No swap needed
  Compare -34 and -35
  Swap -34 and -35
  List after swap: [-90, -35, -34, -11, -63, 20, 35, 47, 61, 90]
  Compare -34 and -11
  No swap needed
  Compare -11 and -63
  Swap -11 and -63
  List after swap: [-90, -35, -34, -63, -11, 20, 35, 47, 61, 90]

Pass 7:
  Compare -90 and -35
  No swap needed
  Compare -35 and -34
  No swap needed
  Compare -34 and -63
  Swap -34 and -63
  List after swap: [-90, -35, -63, -34, -11, 20, 35, 47, 61, 90]

Pass 8:
  Compare -90 and -35
  No swap needed
  Compare -35 and -63
  Swap -35 and -63
  List after swap: [-90, -63, -35, -34, -11, 20, 35, 47, 61, 90]

Pass 9:
  Compare -90 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -63, -35, -34, -11, 20, 35, 47, 61, 90]
</think>

<response>-90, -63, -35, -34, -11, 20, 35, 47, 61, 90</response>


input: Sort the list 69, -58, 24, 34, 50 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [69, -58, 24, 34, 50]

Pass 1:
  Compare 69 and -58
  Swap 69 and -58
  List after swap: [-58, 69, 24, 34, 50]
  Compare 69 and 24
  Swap 69 and 24
  List after swap: [-58, 24, 69, 34, 50]
  Compare 69 and 34
  Swap 69 and 34
  List after swap: [-58, 24, 34, 69, 50]
  Compare 69 and 50
  Swap 69 and 50
  List after swap: [-58, 24, 34, 50, 69]

Pass 2:
  Compare -58 and 24
  No swap needed
  Compare 24 and 34
  No swap needed
  Compare 34 and 50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, 24, 34, 50, 69]
</think>

<response>-58, 24, 34, 50, 69</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 19, 66, -36, 26, -50.

output:
<think>
Initial list: [19, 66, -36, 26, -50]

Pass 1:
  Compare 19 and 66
  No swap needed
  Compare 66 and -36
  Swap 66 and -36
  List after swap: [19, -36, 66, 26, -50]
  Compare 66 and 26
  Swap 66 and 26
  List after swap: [19, -36, 26, 66, -50]
  Compare 66 and -50
  Swap 66 and -50
  List after swap: [19, -36, 26, -50, 66]

Pass 2:
  Compare 19 and -36
  Swap 19 and -36
  List after swap: [-36, 19, 26, -50, 66]
  Compare 19 and 26
  No swap needed
  Compare 26 and -50
  Swap 26 and -50
  List after swap: [-36, 19, -50, 26, 66]

Pass 3:
  Compare -36 and 19
  No swap needed
  Compare 19 and -50
  Swap 19 and -50
  List after swap: [-36, -50, 19, 26, 66]

Pass 4:
  Compare -36 and -50
  Swap -36 and -50
  List after swap: [-50, -36, 19, 26, 66]

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

Final sorted list: [-50, -36, 19, 26, 66]
</think>

<response>-50, -36, 19, 26, 66</response>


input: Carry out the bubble sort algorithm on 58, 60, 42, 80 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [58, 60, 42, 80]

Pass 1:
  Compare 58 and 60
  No swap needed
  Compare 60 and 42
  Swap 60 and 42
  List after swap: [58, 42, 60, 80]
  Compare 60 and 80
  No swap needed

Pass 2:
  Compare 58 and 42
  Swap 58 and 42
  List after swap: [42, 58, 60, 80]
  Compare 58 and 60
  No swap needed

Pass 3:
  Compare 42 and 58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [42, 58, 60, 80]
</think>

<response>42, 58, 60, 80</response>


input: Using the bubble sort method, sort 21, 4, 79, 22, 69, 75, -96, -12 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [21, 4, 79, 22, 69, 75, -96, -12]

Pass 1:
  Compare 21 and 4
  Swap 21 and 4
  List after swap: [4, 21, 79, 22, 69, 75, -96, -12]
  Compare 21 and 79
  No swap needed
  Compare 79 and 22
  Swap 79 and 22
  List after swap: [4, 21, 22, 79, 69, 75, -96, -12]
  Compare 79 and 69
  Swap 79 and 69
  List after swap: [4, 21, 22, 69, 79, 75, -96, -12]
  Compare 79 and 75
  Swap 79 and 75
  List after swap: [4, 21, 22, 69, 75, 79, -96, -12]
  Compare 79 and -96
  Swap 79 and -96
  List after swap: [4, 21, 22, 69, 75, -96, 79, -12]
  Compare 79 and -12
  Swap 79 and -12
  List after swap: [4, 21, 22, 69, 75, -96, -12, 79]

Pass 2:
  Compare 4 and 21
  No swap needed
  Compare 21 and 22
  No swap needed
  Compare 22 and 69
  No swap needed
  Compare 69 and 75
  No swap needed
  Compare 75 and -96
  Swap 75 and -96
  List after swap: [4, 21, 22, 69, -96, 75, -12, 79]
  Compare 75 and -12
  Swap 75 and -12
  List after swap: [4, 21, 22, 69, -96, -12, 75, 79]

Pass 3:
  Compare 4 and 21
  No swap needed
  Compare 21 and 22
  No swap needed
  Compare 22 and 69
  No swap needed
  Compare 69 and -96
  Swap 69 and -96
  List after swap: [4, 21, 22, -96, 69, -12, 75, 79]
  Compare 69 and -12
  Swap 69 and -12
  List after swap: [4, 21, 22, -96, -12, 69, 75, 79]

Pass 4:
  Compare 4 and 21
  No swap needed
  Compare 21 and 22
  No swap needed
  Compare 22 and -96
  Swap 22 and -96
  List after swap: [4, 21, -96, 22, -12, 69, 75, 79]
  Compare 22 and -12
  Swap 22 and -12
  List after swap: [4, 21, -96, -12, 22, 69, 75, 79]

Pass 5:
  Compare 4 and 21
  No swap needed
  Compare 21 and -96
  Swap 21 and -96
  List after swap: [4, -96, 21, -12, 22, 69, 75, 79]
  Compare 21 and -12
  Swap 21 and -12
  List after swap: [4, -96, -12, 21, 22, 69, 75, 79]

Pass 6:
  Compare 4 and -96
  Swap 4 and -96
  List after swap: [-96, 4, -12, 21, 22, 69, 75, 79]
  Compare 4 and -12
  Swap 4 and -12
  List after swap: [-96, -12, 4, 21, 22, 69, 75, 79]

Pass 7:
  Compare -96 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -12, 4, 21, 22, 69, 75, 79]
</think>

<response>-96, -12, 4, 21, 22, 69, 75, 79</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -28, 61, 50, -4, -40, -23, 75, -35, -89.

output:
<think>
Initial list: [-28, 61, 50, -4, -40, -23, 75, -35, -89]

Pass 1:
  Compare -28 and 61
  No swap needed
  Compare 61 and 50
  Swap 61 and 50
  List after swap: [-28, 50, 61, -4, -40, -23, 75, -35, -89]
  Compare 61 and -4
  Swap 61 and -4
  List after swap: [-28, 50, -4, 61, -40, -23, 75, -35, -89]
  Compare 61 and -40
  Swap 61 and -40
  List after swap: [-28, 50, -4, -40, 61, -23, 75, -35, -89]
  Compare 61 and -23
  Swap 61 and -23
  List after swap: [-28, 50, -4, -40, -23, 61, 75, -35, -89]
  Compare 61 and 75
  No swap needed
  Compare 75 and -35
  Swap 75 and -35
  List after swap: [-28, 50, -4, -40, -23, 61, -35, 75, -89]
  Compare 75 and -89
  Swap 75 and -89
  List after swap: [-28, 50, -4, -40, -23, 61, -35, -89, 75]

Pass 2:
  Compare -28 and 50
  No swap needed
  Compare 50 and -4
  Swap 50 and -4
  List after swap: [-28, -4, 50, -40, -23, 61, -35, -89, 75]
  Compare 50 and -40
  Swap 50 and -40
  List after swap: [-28, -4, -40, 50, -23, 61, -35, -89, 75]
  Compare 50 and -23
  Swap 50 and -23
  List after swap: [-28, -4, -40, -23, 50, 61, -35, -89, 75]
  Compare 50 and 61
  No swap needed
  Compare 61 and -35
  Swap 61 and -35
  List after swap: [-28, -4, -40, -23, 50, -35, 61, -89, 75]
  Compare 61 and -89
  Swap 61 and -89
  List after swap: [-28, -4, -40, -23, 50, -35, -89, 61, 75]

Pass 3:
  Compare -28 and -4
  No swap needed
  Compare -4 and -40
  Swap -4 and -40
  List after swap: [-28, -40, -4, -23, 50, -35, -89, 61, 75]
  Compare -4 and -23
  Swap -4 and -23
  List after swap: [-28, -40, -23, -4, 50, -35, -89, 61, 75]
  Compare -4 and 50
  No swap needed
  Compare 50 and -35
  Swap 50 and -35
  List after swap: [-28, -40, -23, -4, -35, 50, -89, 61, 75]
  Compare 50 and -89
  Swap 50 and -89
  List after swap: [-28, -40, -23, -4, -35, -89, 50, 61, 75]

Pass 4:
  Compare -28 and -40
  Swap -28 and -40
  List after swap: [-40, -28, -23, -4, -35, -89, 50, 61, 75]
  Compare -28 and -23
  No swap needed
  Compare -23 and -4
  No swap needed
  Compare -4 and -35
  Swap -4 and -35
  List after swap: [-40, -28, -23, -35, -4, -89, 50, 61, 75]
  Compare -4 and -89
  Swap -4 and -89
  List after swap: [-40, -28, -23, -35, -89, -4, 50, 61, 75]

Pass 5:
  Compare -40 and -28
  No swap needed
  Compare -28 and -23
  No swap needed
  Compare -23 and -35
  Swap -23 and -35
  List after swap: [-40, -28, -35, -23, -89, -4, 50, 61, 75]
  Compare -23 and -89
  Swap -23 and -89
  List after swap: [-40, -28, -35, -89, -23, -4, 50, 61, 75]

Pass 6:
  Compare -40 and -28
  No swap needed
  Compare -28 and -35
  Swap -28 and -35
  List after swap: [-40, -35, -28, -89, -23, -4, 50, 61, 75]
  Compare -28 and -89
  Swap -28 and -89
  List after swap: [-40, -35, -89, -28, -23, -4, 50, 61, 75]

Pass 7:
  Compare -40 and -35
  No swap needed
  Compare -35 and -89
  Swap -35 and -89
  List after swap: [-40, -89, -35, -28, -23, -4, 50, 61, 75]

Pass 8:
  Compare -40 and -89
  Swap -40 and -89
  List after swap: [-89, -40, -35, -28, -23, -4, 50, 61, 75]

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

Final sorted list: [-89, -40, -35, -28, -23, -4, 50, 61, 75]
</think>

<response>-89, -40, -35, -28, -23, -4, 50, 61, 75</response>


input: Perform a bubble sort on the integers 34, 15, -32, -76, 59, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [34, 15, -32, -76, 59]

Pass 1:
  Compare 34 and 15
  Swap 34 and 15
  List after swap: [15, 34, -32, -76, 59]
  Compare 34 and -32
  Swap 34 and -32
  List after swap: [15, -32, 34, -76, 59]
  Compare 34 and -76
  Swap 34 and -76
  List after swap: [15, -32, -76, 34, 59]
  Compare 34 and 59
  No swap needed

Pass 2:
  Compare 15 and -32
  Swap 15 and -32
  List after swap: [-32, 15, -76, 34, 59]
  Compare 15 and -76
  Swap 15 and -76
  List after swap: [-32, -76, 15, 34, 59]
  Compare 15 and 34
  No swap needed

Pass 3:
  Compare -32 and -76
  Swap -32 and -76
  List after swap: [-76, -32, 15, 34, 59]
  Compare -32 and 15
  No swap needed

Pass 4:
  Compare -76 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -32, 15, 34, 59]
</think>

<response>-76, -32, 15, 34, 59</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 58, 97, 54, -54, -5, 81.

output:
<think>
Initial list: [58, 97, 54, -54, -5, 81]

Pass 1:
  Compare 58 and 97
  No swap needed
  Compare 97 and 54
  Swap 97 and 54
  List after swap: [58, 54, 97, -54, -5, 81]
  Compare 97 and -54
  Swap 97 and -54
  List after swap: [58, 54, -54, 97, -5, 81]
  Compare 97 and -5
  Swap 97 and -5
  List after swap: [58, 54, -54, -5, 97, 81]
  Compare 97 and 81
  Swap 97 and 81
  List after swap: [58, 54, -54, -5, 81, 97]

Pass 2:
  Compare 58 and 54
  Swap 58 and 54
  List after swap: [54, 58, -54, -5, 81, 97]
  Compare 58 and -54
  Swap 58 and -54
  List after swap: [54, -54, 58, -5, 81, 97]
  Compare 58 and -5
  Swap 58 and -5
  List after swap: [54, -54, -5, 58, 81, 97]
  Compare 58 and 81
  No swap needed

Pass 3:
  Compare 54 and -54
  Swap 54 and -54
  List after swap: [-54, 54, -5, 58, 81, 97]
  Compare 54 and -5
  Swap 54 and -5
  List after swap: [-54, -5, 54, 58, 81, 97]
  Compare 54 and 58
  No swap needed

Pass 4:
  Compare -54 and -5
  No swap needed
  Compare -5 and 54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-54, -5, 54, 58, 81, 97]
</think>

<response>-54, -5, 54, 58, 81, 97</response>


input: Use the bubble sort technique to reorder 30, -40, -32, 14, 65, -67, -54 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [30, -40, -32, 14, 65, -67, -54]

Pass 1:
  Compare 30 and -40
  Swap 30 and -40
  List after swap: [-40, 30, -32, 14, 65, -67, -54]
  Compare 30 and -32
  Swap 30 and -32
  List after swap: [-40, -32, 30, 14, 65, -67, -54]
  Compare 30 and 14
  Swap 30 and 14
  List after swap: [-40, -32, 14, 30, 65, -67, -54]
  Compare 30 and 65
  No swap needed
  Compare 65 and -67
  Swap 65 and -67
  List after swap: [-40, -32, 14, 30, -67, 65, -54]
  Compare 65 and -54
  Swap 65 and -54
  List after swap: [-40, -32, 14, 30, -67, -54, 65]

Pass 2:
  Compare -40 and -32
  No swap needed
  Compare -32 and 14
  No swap needed
  Compare 14 and 30
  No swap needed
  Compare 30 and -67
  Swap 30 and -67
  List after swap: [-40, -32, 14, -67, 30, -54, 65]
  Compare 30 and -54
  Swap 30 and -54
  List after swap: [-40, -32, 14, -67, -54, 30, 65]

Pass 3:
  Compare -40 and -32
  No swap needed
  Compare -32 and 14
  No swap needed
  Compare 14 and -67
  Swap 14 and -67
  List after swap: [-40, -32, -67, 14, -54, 30, 65]
  Compare 14 and -54
  Swap 14 and -54
  List after swap: [-40, -32, -67, -54, 14, 30, 65]

Pass 4:
  Compare -40 and -32
  No swap needed
  Compare -32 and -67
  Swap -32 and -67
  List after swap: [-40, -67, -32, -54, 14, 30, 65]
  Compare -32 and -54
  Swap -32 and -54
  List after swap: [-40, -67, -54, -32, 14, 30, 65]

Pass 5:
  Compare -40 and -67
  Swap -40 and -67
  List after swap: [-67, -40, -54, -32, 14, 30, 65]
  Compare -40 and -54
  Swap -40 and -54
  List after swap: [-67, -54, -40, -32, 14, 30, 65]

Pass 6:
  Compare -67 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -54, -40, -32, 14, 30, 65]
</think>

<response>-67, -54, -40, -32, 14, 30, 65</response>


input: Carry out the bubble sort algorithm on 50, -87, 4, -11, -47, 83 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [50, -87, 4, -11, -47, 83]

Pass 1:
  Compare 50 and -87
  Swap 50 and -87
  List after swap: [-87, 50, 4, -11, -47, 83]
  Compare 50 and 4
  Swap 50 and 4
  List after swap: [-87, 4, 50, -11, -47, 83]
  Compare 50 and -11
  Swap 50 and -11
  List after swap: [-87, 4, -11, 50, -47, 83]
  Compare 50 and -47
  Swap 50 and -47
  List after swap: [-87, 4, -11, -47, 50, 83]
  Compare 50 and 83
  No swap needed

Pass 2:
  Compare -87 and 4
  No swap needed
  Compare 4 and -11
  Swap 4 and -11
  List after swap: [-87, -11, 4, -47, 50, 83]
  Compare 4 and -47
  Swap 4 and -47
  List after swap: [-87, -11, -47, 4, 50, 83]
  Compare 4 and 50
  No swap needed

Pass 3:
  Compare -87 and -11
  No swap needed
  Compare -11 and -47
  Swap -11 and -47
  List after swap: [-87, -47, -11, 4, 50, 83]
  Compare -11 and 4
  No swap needed

Pass 4:
  Compare -87 and -47
  No swap needed
  Compare -47 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -47, -11, 4, 50, 83]
</think>

<response>-87, -47, -11, 4, 50, 83</response>


input: Using the bubble sort method, sort 69, -10, -68, -75, -7, -34, -59, -74, -51, 57 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [69, -10, -68, -75, -7, -34, -59, -74, -51, 57]

Pass 1:
  Compare 69 and -10
  Swap 69 and -10
  List after swap: [-10, 69, -68, -75, -7, -34, -59, -74, -51, 57]
  Compare 69 and -68
  Swap 69 and -68
  List after swap: [-10, -68, 69, -75, -7, -34, -59, -74, -51, 57]
  Compare 69 and -75
  Swap 69 and -75
  List after swap: [-10, -68, -75, 69, -7, -34, -59, -74, -51, 57]
  Compare 69 and -7
  Swap 69 and -7
  List after swap: [-10, -68, -75, -7, 69, -34, -59, -74, -51, 57]
  Compare 69 and -34
  Swap 69 and -34
  List after swap: [-10, -68, -75, -7, -34, 69, -59, -74, -51, 57]
  Compare 69 and -59
  Swap 69 and -59
  List after swap: [-10, -68, -75, -7, -34, -59, 69, -74, -51, 57]
  Compare 69 and -74
  Swap 69 and -74
  List after swap: [-10, -68, -75, -7, -34, -59, -74, 69, -51, 57]
  Compare 69 and -51
  Swap 69 and -51
  List after swap: [-10, -68, -75, -7, -34, -59, -74, -51, 69, 57]
  Compare 69 and 57
  Swap 69 and 57
  List after swap: [-10, -68, -75, -7, -34, -59, -74, -51, 57, 69]

Pass 2:
  Compare -10 and -68
  Swap -10 and -68
  List after swap: [-68, -10, -75, -7, -34, -59, -74, -51, 57, 69]
  Compare -10 and -75
  Swap -10 and -75
  List after swap: [-68, -75, -10, -7, -34, -59, -74, -51, 57, 69]
  Compare -10 and -7
  No swap needed
  Compare -7 and -34
  Swap -7 and -34
  List after swap: [-68, -75, -10, -34, -7, -59, -74, -51, 57, 69]
  Compare -7 and -59
  Swap -7 and -59
  List after swap: [-68, -75, -10, -34, -59, -7, -74, -51, 57, 69]
  Compare -7 and -74
  Swap -7 and -74
  List after swap: [-68, -75, -10, -34, -59, -74, -7, -51, 57, 69]
  Compare -7 and -51
  Swap -7 and -51
  List after swap: [-68, -75, -10, -34, -59, -74, -51, -7, 57, 69]
  Compare -7 and 57
  No swap needed

Pass 3:
  Compare -68 and -75
  Swap -68 and -75
  List after swap: [-75, -68, -10, -34, -59, -74, -51, -7, 57, 69]
  Compare -68 and -10
  No swap needed
  Compare -10 and -34
  Swap -10 and -34
  List after swap: [-75, -68, -34, -10, -59, -74, -51, -7, 57, 69]
  Compare -10 and -59
  Swap -10 and -59
  List after swap: [-75, -68, -34, -59, -10, -74, -51, -7, 57, 69]
  Compare -10 and -74
  Swap -10 and -74
  List after swap: [-75, -68, -34, -59, -74, -10, -51, -7, 57, 69]
  Compare -10 and -51
  Swap -10 and -51
  List after swap: [-75, -68, -34, -59, -74, -51, -10, -7, 57, 69]
  Compare -10 and -7
  No swap needed

Pass 4:
  Compare -75 and -68
  No swap needed
  Compare -68 and -34
  No swap needed
  Compare -34 and -59
  Swap -34 and -59
  List after swap: [-75, -68, -59, -34, -74, -51, -10, -7, 57, 69]
  Compare -34 and -74
  Swap -34 and -74
  List after swap: [-75, -68, -59, -74, -34, -51, -10, -7, 57, 69]
  Compare -34 and -51
  Swap -34 and -51
  List after swap: [-75, -68, -59, -74, -51, -34, -10, -7, 57, 69]
  Compare -34 and -10
  No swap needed

Pass 5:
  Compare -75 and -68
  No swap needed
  Compare -68 and -59
  No swap needed
  Compare -59 and -74
  Swap -59 and -74
  List after swap: [-75, -68, -74, -59, -51, -34, -10, -7, 57, 69]
  Compare -59 and -51
  No swap needed
  Compare -51 and -34
  No swap needed

Pass 6:
  Compare -75 and -68
  No swap needed
  Compare -68 and -74
  Swap -68 and -74
  List after swap: [-75, -74, -68, -59, -51, -34, -10, -7, 57, 69]
  Compare -68 and -59
  No swap needed
  Compare -59 and -51
  No swap needed

Pass 7:
  Compare -75 and -74
  No swap needed
  Compare -74 and -68
  No swap needed
  Compare -68 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -74, -68, -59, -51, -34, -10, -7, 57, 69]
</think>

<response>-75, -74, -68, -59, -51, -34, -10, -7, 57, 69</response>


input: Arrange the numbers 64, -8, 34, -85, 16, -29, -44, -36, -31 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [64, -8, 34, -85, 16, -29, -44, -36, -31]

Pass 1:
  Compare 64 and -8
  Swap 64 and -8
  List after swap: [-8, 64, 34, -85, 16, -29, -44, -36, -31]
  Compare 64 and 34
  Swap 64 and 34
  List after swap: [-8, 34, 64, -85, 16, -29, -44, -36, -31]
  Compare 64 and -85
  Swap 64 and -85
  List after swap: [-8, 34, -85, 64, 16, -29, -44, -36, -31]
  Compare 64 and 16
  Swap 64 and 16
  List after swap: [-8, 34, -85, 16, 64, -29, -44, -36, -31]
  Compare 64 and -29
  Swap 64 and -29
  List after swap: [-8, 34, -85, 16, -29, 64, -44, -36, -31]
  Compare 64 and -44
  Swap 64 and -44
  List after swap: [-8, 34, -85, 16, -29, -44, 64, -36, -31]
  Compare 64 and -36
  Swap 64 and -36
  List after swap: [-8, 34, -85, 16, -29, -44, -36, 64, -31]
  Compare 64 and -31
  Swap 64 and -31
  List after swap: [-8, 34, -85, 16, -29, -44, -36, -31, 64]

Pass 2:
  Compare -8 and 34
  No swap needed
  Compare 34 and -85
  Swap 34 and -85
  List after swap: [-8, -85, 34, 16, -29, -44, -36, -31, 64]
  Compare 34 and 16
  Swap 34 and 16
  List after swap: [-8, -85, 16, 34, -29, -44, -36, -31, 64]
  Compare 34 and -29
  Swap 34 and -29
  List after swap: [-8, -85, 16, -29, 34, -44, -36, -31, 64]
  Compare 34 and -44
  Swap 34 and -44
  List after swap: [-8, -85, 16, -29, -44, 34, -36, -31, 64]
  Compare 34 and -36
  Swap 34 and -36
  List after swap: [-8, -85, 16, -29, -44, -36, 34, -31, 64]
  Compare 34 and -31
  Swap 34 and -31
  List after swap: [-8, -85, 16, -29, -44, -36, -31, 34, 64]

Pass 3:
  Compare -8 and -85
  Swap -8 and -85
  List after swap: [-85, -8, 16, -29, -44, -36, -31, 34, 64]
  Compare -8 and 16
  No swap needed
  Compare 16 and -29
  Swap 16 and -29
  List after swap: [-85, -8, -29, 16, -44, -36, -31, 34, 64]
  Compare 16 and -44
  Swap 16 and -44
  List after swap: [-85, -8, -29, -44, 16, -36, -31, 34, 64]
  Compare 16 and -36
  Swap 16 and -36
  List after swap: [-85, -8, -29, -44, -36, 16, -31, 34, 64]
  Compare 16 and -31
  Swap 16 and -31
  List after swap: [-85, -8, -29, -44, -36, -31, 16, 34, 64]

Pass 4:
  Compare -85 and -8
  No swap needed
  Compare -8 and -29
  Swap -8 and -29
  List after swap: [-85, -29, -8, -44, -36, -31, 16, 34, 64]
  Compare -8 and -44
  Swap -8 and -44
  List after swap: [-85, -29, -44, -8, -36, -31, 16, 34, 64]
  Compare -8 and -36
  Swap -8 and -36
  List after swap: [-85, -29, -44, -36, -8, -31, 16, 34, 64]
  Compare -8 and -31
  Swap -8 and -31
  List after swap: [-85, -29, -44, -36, -31, -8, 16, 34, 64]

Pass 5:
  Compare -85 and -29
  No swap needed
  Compare -29 and -44
  Swap -29 and -44
  List after swap: [-85, -44, -29, -36, -31, -8, 16, 34, 64]
  Compare -29 and -36
  Swap -29 and -36
  List after swap: [-85, -44, -36, -29, -31, -8, 16, 34, 64]
  Compare -29 and -31
  Swap -29 and -31
  List after swap: [-85, -44, -36, -31, -29, -8, 16, 34, 64]

Pass 6:
  Compare -85 and -44
  No swap needed
  Compare -44 and -36
  No swap needed
  Compare -36 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -44, -36, -31, -29, -8, 16, 34, 64]
</think>

<response>-85, -44, -36, -31, -29, -8, 16, 34, 64</response>


input: Sort the list 62, -79, -11 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [62, -79, -11]

Pass 1:
  Compare 62 and -79
  Swap 62 and -79
  List after swap: [-79, 62, -11]
  Compare 62 and -11
  Swap 62 and -11
  List after swap: [-79, -11, 62]

Pass 2:
  Compare -79 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -11, 62]
</think>

<response>-79, -11, 62</response>


input: Using the bubble sort method, sort -65, 40, -7, 63, -21, -40, -11, -88, 6, 83 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-65, 40, -7, 63, -21, -40, -11, -88, 6, 83]

Pass 1:
  Compare -65 and 40
  No swap needed
  Compare 40 and -7
  Swap 40 and -7
  List after swap: [-65, -7, 40, 63, -21, -40, -11, -88, 6, 83]
  Compare 40 and 63
  No swap needed
  Compare 63 and -21
  Swap 63 and -21
  List after swap: [-65, -7, 40, -21, 63, -40, -11, -88, 6, 83]
  Compare 63 and -40
  Swap 63 and -40
  List after swap: [-65, -7, 40, -21, -40, 63, -11, -88, 6, 83]
  Compare 63 and -11
  Swap 63 and -11
  List after swap: [-65, -7, 40, -21, -40, -11, 63, -88, 6, 83]
  Compare 63 and -88
  Swap 63 and -88
  List after swap: [-65, -7, 40, -21, -40, -11, -88, 63, 6, 83]
  Compare 63 and 6
  Swap 63 and 6
  List after swap: [-65, -7, 40, -21, -40, -11, -88, 6, 63, 83]
  Compare 63 and 83
  No swap needed

Pass 2:
  Compare -65 and -7
  No swap needed
  Compare -7 and 40
  No swap needed
  Compare 40 and -21
  Swap 40 and -21
  List after swap: [-65, -7, -21, 40, -40, -11, -88, 6, 63, 83]
  Compare 40 and -40
  Swap 40 and -40
  List after swap: [-65, -7, -21, -40, 40, -11, -88, 6, 63, 83]
  Compare 40 and -11
  Swap 40 and -11
  List after swap: [-65, -7, -21, -40, -11, 40, -88, 6, 63, 83]
  Compare 40 and -88
  Swap 40 and -88
  List after swap: [-65, -7, -21, -40, -11, -88, 40, 6, 63, 83]
  Compare 40 and 6
  Swap 40 and 6
  List after swap: [-65, -7, -21, -40, -11, -88, 6, 40, 63, 83]
  Compare 40 and 63
  No swap needed

Pass 3:
  Compare -65 and -7
  No swap needed
  Compare -7 and -21
  Swap -7 and -21
  List after swap: [-65, -21, -7, -40, -11, -88, 6, 40, 63, 83]
  Compare -7 and -40
  Swap -7 and -40
  List after swap: [-65, -21, -40, -7, -11, -88, 6, 40, 63, 83]
  Compare -7 and -11
  Swap -7 and -11
  List after swap: [-65, -21, -40, -11, -7, -88, 6, 40, 63, 83]
  Compare -7 and -88
  Swap -7 and -88
  List after swap: [-65, -21, -40, -11, -88, -7, 6, 40, 63, 83]
  Compare -7 and 6
  No swap needed
  Compare 6 and 40
  No swap needed

Pass 4:
  Compare -65 and -21
  No swap needed
  Compare -21 and -40
  Swap -21 and -40
  List after swap: [-65, -40, -21, -11, -88, -7, 6, 40, 63, 83]
  Compare -21 and -11
  No swap needed
  Compare -11 and -88
  Swap -11 and -88
  List after swap: [-65, -40, -21, -88, -11, -7, 6, 40, 63, 83]
  Compare -11 and -7
  No swap needed
  Compare -7 and 6
  No swap needed

Pass 5:
  Compare -65 and -40
  No swap needed
  Compare -40 and -21
  No swap needed
  Compare -21 and -88
  Swap -21 and -88
  List after swap: [-65, -40, -88, -21, -11, -7, 6, 40, 63, 83]
  Compare -21 and -11
  No swap needed
  Compare -11 and -7
  No swap needed

Pass 6:
  Compare -65 and -40
  No swap needed
  Compare -40 and -88
  Swap -40 and -88
  List after swap: [-65, -88, -40, -21, -11, -7, 6, 40, 63, 83]
  Compare -40 and -21
  No swap needed
  Compare -21 and -11
  No swap needed

Pass 7:
  Compare -65 and -88
  Swap -65 and -88
  List after swap: [-88, -65, -40, -21, -11, -7, 6, 40, 63, 83]
  Compare -65 and -40
  No swap needed
  Compare -40 and -21
  No swap needed

Pass 8:
  Compare -88 and -65
  No swap needed
  Compare -65 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -65, -40, -21, -11, -7, 6, 40, 63, 83]
</think>

<response>-88, -65, -40, -21, -11, -7, 6, 40, 63, 83</response>


input: Execute bubble sort to sort -64, 27, -79, -4 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-64, 27, -79, -4]

Pass 1:
  Compare -64 and 27
  No swap needed
  Compare 27 and -79
  Swap 27 and -79
  List after swap: [-64, -79, 27, -4]
  Compare 27 and -4
  Swap 27 and -4
  List after swap: [-64, -79, -4, 27]

Pass 2:
  Compare -64 and -79
  Swap -64 and -79
  List after swap: [-79, -64, -4, 27]
  Compare -64 and -4
  No swap needed

Pass 3:
  Compare -79 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -64, -4, 27]
</think>

<response>-79, -64, -4, 27</response>


input: Perform a bubble sort on the integers 2, -91, 24, 70, -20, -95, -89, 57, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [2, -91, 24, 70, -20, -95, -89, 57]

Pass 1:
  Compare 2 and -91
  Swap 2 and -91
  List after swap: [-91, 2, 24, 70, -20, -95, -89, 57]
  Compare 2 and 24
  No swap needed
  Compare 24 and 70
  No swap needed
  Compare 70 and -20
  Swap 70 and -20
  List after swap: [-91, 2, 24, -20, 70, -95, -89, 57]
  Compare 70 and -95
  Swap 70 and -95
  List after swap: [-91, 2, 24, -20, -95, 70, -89, 57]
  Compare 70 and -89
  Swap 70 and -89
  List after swap: [-91, 2, 24, -20, -95, -89, 70, 57]
  Compare 70 and 57
  Swap 70 and 57
  List after swap: [-91, 2, 24, -20, -95, -89, 57, 70]

Pass 2:
  Compare -91 and 2
  No swap needed
  Compare 2 and 24
  No swap needed
  Compare 24 and -20
  Swap 24 and -20
  List after swap: [-91, 2, -20, 24, -95, -89, 57, 70]
  Compare 24 and -95
  Swap 24 and -95
  List after swap: [-91, 2, -20, -95, 24, -89, 57, 70]
  Compare 24 and -89
  Swap 24 and -89
  List after swap: [-91, 2, -20, -95, -89, 24, 57, 70]
  Compare 24 and 57
  No swap needed

Pass 3:
  Compare -91 and 2
  No swap needed
  Compare 2 and -20
  Swap 2 and -20
  List after swap: [-91, -20, 2, -95, -89, 24, 57, 70]
  Compare 2 and -95
  Swap 2 and -95
  List after swap: [-91, -20, -95, 2, -89, 24, 57, 70]
  Compare 2 and -89
  Swap 2 and -89
  List after swap: [-91, -20, -95, -89, 2, 24, 57, 70]
  Compare 2 and 24
  No swap needed

Pass 4:
  Compare -91 and -20
  No swap needed
  Compare -20 and -95
  Swap -20 and -95
  List after swap: [-91, -95, -20, -89, 2, 24, 57, 70]
  Compare -20 and -89
  Swap -20 and -89
  List after swap: [-91, -95, -89, -20, 2, 24, 57, 70]
  Compare -20 and 2
  No swap needed

Pass 5:
  Compare -91 and -95
  Swap -91 and -95
  List after swap: [-95, -91, -89, -20, 2, 24, 57, 70]
  Compare -91 and -89
  No swap needed
  Compare -89 and -20
  No swap needed

Pass 6:
  Compare -95 and -91
  No swap needed
  Compare -91 and -89
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -91, -89, -20, 2, 24, 57, 70]
</think>

<response>-95, -91, -89, -20, 2, 24, 57, 70</response>


input: Perform a bubble sort on the integers 68, -30, -63, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [68, -30, -63]

Pass 1:
  Compare 68 and -30
  Swap 68 and -30
  List after swap: [-30, 68, -63]
  Compare 68 and -63
  Swap 68 and -63
  List after swap: [-30, -63, 68]

Pass 2:
  Compare -30 and -63
  Swap -30 and -63
  List after swap: [-63, -30, 68]

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

Final sorted list: [-63, -30, 68]
</think>

<response>-63, -30, 68</response>


input: Sort these integers -95, -78, 29, -11 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-95, -78, 29, -11]

Pass 1:
  Compare -95 and -78
  No swap needed
  Compare -78 and 29
  No swap needed
  Compare 29 and -11
  Swap 29 and -11
  List after swap: [-95, -78, -11, 29]

Pass 2:
  Compare -95 and -78
  No swap needed
  Compare -78 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -78, -11, 29]
</think>

<response>-95, -78, -11, 29</response>


input: Perform a bubble sort on the integers 47, 1, -70, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [47, 1, -70]

Pass 1:
  Compare 47 and 1
  Swap 47 and 1
  List after swap: [1, 47, -70]
  Compare 47 and -70
  Swap 47 and -70
  List after swap: [1, -70, 47]

Pass 2:
  Compare 1 and -70
  Swap 1 and -70
  List after swap: [-70, 1, 47]

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

Final sorted list: [-70, 1, 47]
</think>

<response>-70, 1, 47</response>


input: Carry out the bubble sort algorithm on 81, -15, 23, -32, -19, 91, 78 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [81, -15, 23, -32, -19, 91, 78]

Pass 1:
  Compare 81 and -15
  Swap 81 and -15
  List after swap: [-15, 81, 23, -32, -19, 91, 78]
  Compare 81 and 23
  Swap 81 and 23
  List after swap: [-15, 23, 81, -32, -19, 91, 78]
  Compare 81 and -32
  Swap 81 and -32
  List after swap: [-15, 23, -32, 81, -19, 91, 78]
  Compare 81 and -19
  Swap 81 and -19
  List after swap: [-15, 23, -32, -19, 81, 91, 78]
  Compare 81 and 91
  No swap needed
  Compare 91 and 78
  Swap 91 and 78
  List after swap: [-15, 23, -32, -19, 81, 78, 91]

Pass 2:
  Compare -15 and 23
  No swap needed
  Compare 23 and -32
  Swap 23 and -32
  List after swap: [-15, -32, 23, -19, 81, 78, 91]
  Compare 23 and -19
  Swap 23 and -19
  List after swap: [-15, -32, -19, 23, 81, 78, 91]
  Compare 23 and 81
  No swap needed
  Compare 81 and 78
  Swap 81 and 78
  List after swap: [-15, -32, -19, 23, 78, 81, 91]

Pass 3:
  Compare -15 and -32
  Swap -15 and -32
  List after swap: [-32, -15, -19, 23, 78, 81, 91]
  Compare -15 and -19
  Swap -15 and -19
  List after swap: [-32, -19, -15, 23, 78, 81, 91]
  Compare -15 and 23
  No swap needed
  Compare 23 and 78
  No swap needed

Pass 4:
  Compare -32 and -19
  No swap needed
  Compare -19 and -15
  No swap needed
  Compare -15 and 23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-32, -19, -15, 23, 78, 81, 91]
</think>

<response>-32, -19, -15, 23, 78, 81, 91</response>


input: Using the bubble sort method, sort -58, -11 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-58, -11]

Pass 1:
  Compare -58 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -11]
</think>

<response>-58, -11</response>


input: Implement bubble sort on -29, 86, 55, -13, -84, 22, 4, 52 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-29, 86, 55, -13, -84, 22, 4, 52]

Pass 1:
  Compare -29 and 86
  No swap needed
  Compare 86 and 55
  Swap 86 and 55
  List after swap: [-29, 55, 86, -13, -84, 22, 4, 52]
  Compare 86 and -13
  Swap 86 and -13
  List after swap: [-29, 55, -13, 86, -84, 22, 4, 52]
  Compare 86 and -84
  Swap 86 and -84
  List after swap: [-29, 55, -13, -84, 86, 22, 4, 52]
  Compare 86 and 22
  Swap 86 and 22
  List after swap: [-29, 55, -13, -84, 22, 86, 4, 52]
  Compare 86 and 4
  Swap 86 and 4
  List after swap: [-29, 55, -13, -84, 22, 4, 86, 52]
  Compare 86 and 52
  Swap 86 and 52
  List after swap: [-29, 55, -13, -84, 22, 4, 52, 86]

Pass 2:
  Compare -29 and 55
  No swap needed
  Compare 55 and -13
  Swap 55 and -13
  List after swap: [-29, -13, 55, -84, 22, 4, 52, 86]
  Compare 55 and -84
  Swap 55 and -84
  List after swap: [-29, -13, -84, 55, 22, 4, 52, 86]
  Compare 55 and 22
  Swap 55 and 22
  List after swap: [-29, -13, -84, 22, 55, 4, 52, 86]
  Compare 55 and 4
  Swap 55 and 4
  List after swap: [-29, -13, -84, 22, 4, 55, 52, 86]
  Compare 55 and 52
  Swap 55 and 52
  List after swap: [-29, -13, -84, 22, 4, 52, 55, 86]

Pass 3:
  Compare -29 and -13
  No swap needed
  Compare -13 and -84
  Swap -13 and -84
  List after swap: [-29, -84, -13, 22, 4, 52, 55, 86]
  Compare -13 and 22
  No swap needed
  Compare 22 and 4
  Swap 22 and 4
  List after swap: [-29, -84, -13, 4, 22, 52, 55, 86]
  Compare 22 and 52
  No swap needed

Pass 4:
  Compare -29 and -84
  Swap -29 and -84
  List after swap: [-84, -29, -13, 4, 22, 52, 55, 86]
  Compare -29 and -13
  No swap needed
  Compare -13 and 4
  No swap needed
  Compare 4 and 22
  No swap needed

Pass 5:
  Compare -84 and -29
  No swap needed
  Compare -29 and -13
  No swap needed
  Compare -13 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -29, -13, 4, 22, 52, 55, 86]
</think>

<response>-84, -29, -13, 4, 22, 52, 55, 86</response>


input: Carry out the bubble sort algorithm on 32, 59, -76, 66, 18 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [32, 59, -76, 66, 18]

Pass 1:
  Compare 32 and 59
  No swap needed
  Compare 59 and -76
  Swap 59 and -76
  List after swap: [32, -76, 59, 66, 18]
  Compare 59 and 66
  No swap needed
  Compare 66 and 18
  Swap 66 and 18
  List after swap: [32, -76, 59, 18, 66]

Pass 2:
  Compare 32 and -76
  Swap 32 and -76
  List after swap: [-76, 32, 59, 18, 66]
  Compare 32 and 59
  No swap needed
  Compare 59 and 18
  Swap 59 and 18
  List after swap: [-76, 32, 18, 59, 66]

Pass 3:
  Compare -76 and 32
  No swap needed
  Compare 32 and 18
  Swap 32 and 18
  List after swap: [-76, 18, 32, 59, 66]

Pass 4:
  Compare -76 and 18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, 18, 32, 59, 66]
</think>

<response>-76, 18, 32, 59, 66</response>


input: Arrange the numbers 93, -50, -92, 10, 37, -91, -9, -46, 32 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [93, -50, -92, 10, 37, -91, -9, -46, 32]

Pass 1:
  Compare 93 and -50
  Swap 93 and -50
  List after swap: [-50, 93, -92, 10, 37, -91, -9, -46, 32]
  Compare 93 and -92
  Swap 93 and -92
  List after swap: [-50, -92, 93, 10, 37, -91, -9, -46, 32]
  Compare 93 and 10
  Swap 93 and 10
  List after swap: [-50, -92, 10, 93, 37, -91, -9, -46, 32]
  Compare 93 and 37
  Swap 93 and 37
  List after swap: [-50, -92, 10, 37, 93, -91, -9, -46, 32]
  Compare 93 and -91
  Swap 93 and -91
  List after swap: [-50, -92, 10, 37, -91, 93, -9, -46, 32]
  Compare 93 and -9
  Swap 93 and -9
  List after swap: [-50, -92, 10, 37, -91, -9, 93, -46, 32]
  Compare 93 and -46
  Swap 93 and -46
  List after swap: [-50, -92, 10, 37, -91, -9, -46, 93, 32]
  Compare 93 and 32
  Swap 93 and 32
  List after swap: [-50, -92, 10, 37, -91, -9, -46, 32, 93]

Pass 2:
  Compare -50 and -92
  Swap -50 and -92
  List after swap: [-92, -50, 10, 37, -91, -9, -46, 32, 93]
  Compare -50 and 10
  No swap needed
  Compare 10 and 37
  No swap needed
  Compare 37 and -91
  Swap 37 and -91
  List after swap: [-92, -50, 10, -91, 37, -9, -46, 32, 93]
  Compare 37 and -9
  Swap 37 and -9
  List after swap: [-92, -50, 10, -91, -9, 37, -46, 32, 93]
  Compare 37 and -46
  Swap 37 and -46
  List after swap: [-92, -50, 10, -91, -9, -46, 37, 32, 93]
  Compare 37 and 32
  Swap 37 and 32
  List after swap: [-92, -50, 10, -91, -9, -46, 32, 37, 93]

Pass 3:
  Compare -92 and -50
  No swap needed
  Compare -50 and 10
  No swap needed
  Compare 10 and -91
  Swap 10 and -91
  List after swap: [-92, -50, -91, 10, -9, -46, 32, 37, 93]
  Compare 10 and -9
  Swap 10 and -9
  List after swap: [-92, -50, -91, -9, 10, -46, 32, 37, 93]
  Compare 10 and -46
  Swap 10 and -46
  List after swap: [-92, -50, -91, -9, -46, 10, 32, 37, 93]
  Compare 10 and 32
  No swap needed

Pass 4:
  Compare -92 and -50
  No swap needed
  Compare -50 and -91
  Swap -50 and -91
  List after swap: [-92, -91, -50, -9, -46, 10, 32, 37, 93]
  Compare -50 and -9
  No swap needed
  Compare -9 and -46
  Swap -9 and -46
  List after swap: [-92, -91, -50, -46, -9, 10, 32, 37, 93]
  Compare -9 and 10
  No swap needed

Pass 5:
  Compare -92 and -91
  No swap needed
  Compare -91 and -50
  No swap needed
  Compare -50 and -46
  No swap needed
  Compare -46 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -91, -50, -46, -9, 10, 32, 37, 93]
</think>

<response>-92, -91, -50, -46, -9, 10, 32, 37, 93</response>


input: Sort the list -23, -12, -80, 60, -34, 40, -58, 61, -4 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-23, -12, -80, 60, -34, 40, -58, 61, -4]

Pass 1:
  Compare -23 and -12
  No swap needed
  Compare -12 and -80
  Swap -12 and -80
  List after swap: [-23, -80, -12, 60, -34, 40, -58, 61, -4]
  Compare -12 and 60
  No swap needed
  Compare 60 and -34
  Swap 60 and -34
  List after swap: [-23, -80, -12, -34, 60, 40, -58, 61, -4]
  Compare 60 and 40
  Swap 60 and 40
  List after swap: [-23, -80, -12, -34, 40, 60, -58, 61, -4]
  Compare 60 and -58
  Swap 60 and -58
  List after swap: [-23, -80, -12, -34, 40, -58, 60, 61, -4]
  Compare 60 and 61
  No swap needed
  Compare 61 and -4
  Swap 61 and -4
  List after swap: [-23, -80, -12, -34, 40, -58, 60, -4, 61]

Pass 2:
  Compare -23 and -80
  Swap -23 and -80
  List after swap: [-80, -23, -12, -34, 40, -58, 60, -4, 61]
  Compare -23 and -12
  No swap needed
  Compare -12 and -34
  Swap -12 and -34
  List after swap: [-80, -23, -34, -12, 40, -58, 60, -4, 61]
  Compare -12 and 40
  No swap needed
  Compare 40 and -58
  Swap 40 and -58
  List after swap: [-80, -23, -34, -12, -58, 40, 60, -4, 61]
  Compare 40 and 60
  No swap needed
  Compare 60 and -4
  Swap 60 and -4
  List after swap: [-80, -23, -34, -12, -58, 40, -4, 60, 61]

Pass 3:
  Compare -80 and -23
  No swap needed
  Compare -23 and -34
  Swap -23 and -34
  List after swap: [-80, -34, -23, -12, -58, 40, -4, 60, 61]
  Compare -23 and -12
  No swap needed
  Compare -12 and -58
  Swap -12 and -58
  List after swap: [-80, -34, -23, -58, -12, 40, -4, 60, 61]
  Compare -12 and 40
  No swap needed
  Compare 40 and -4
  Swap 40 and -4
  List after swap: [-80, -34, -23, -58, -12, -4, 40, 60, 61]

Pass 4:
  Compare -80 and -34
  No swap needed
  Compare -34 and -23
  No swap needed
  Compare -23 and -58
  Swap -23 and -58
  List after swap: [-80, -34, -58, -23, -12, -4, 40, 60, 61]
  Compare -23 and -12
  No swap needed
  Compare -12 and -4
  No swap needed

Pass 5:
  Compare -80 and -34
  No swap needed
  Compare -34 and -58
  Swap -34 and -58
  List after swap: [-80, -58, -34, -23, -12, -4, 40, 60, 61]
  Compare -34 and -23
  No swap needed
  Compare -23 and -12
  No swap needed

Pass 6:
  Compare -80 and -58
  No swap needed
  Compare -58 and -34
  No swap needed
  Compare -34 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -58, -34, -23, -12, -4, 40, 60, 61]
</think>

<response>-80, -58, -34, -23, -12, -4, 40, 60, 61</response>


input: Execute bubble sort to sort -98, -52, -14, 67, 81, -80 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-98, -52, -14, 67, 81, -80]

Pass 1:
  Compare -98 and -52
  No swap needed
  Compare -52 and -14
  No swap needed
  Compare -14 and 67
  No swap needed
  Compare 67 and 81
  No swap needed
  Compare 81 and -80
  Swap 81 and -80
  List after swap: [-98, -52, -14, 67, -80, 81]

Pass 2:
  Compare -98 and -52
  No swap needed
  Compare -52 and -14
  No swap needed
  Compare -14 and 67
  No swap needed
  Compare 67 and -80
  Swap 67 and -80
  List after swap: [-98, -52, -14, -80, 67, 81]

Pass 3:
  Compare -98 and -52
  No swap needed
  Compare -52 and -14
  No swap needed
  Compare -14 and -80
  Swap -14 and -80
  List after swap: [-98, -52, -80, -14, 67, 81]

Pass 4:
  Compare -98 and -52
  No swap needed
  Compare -52 and -80
  Swap -52 and -80
  List after swap: [-98, -80, -52, -14, 67, 81]

Pass 5:
  Compare -98 and -80
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -80, -52, -14, 67, 81]
</think>

<response>-98, -80, -52, -14, 67, 81</response>


input: Sort the list 53, -84, -52, 50, -43, 16, -90, 37 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [53, -84, -52, 50, -43, 16, -90, 37]

Pass 1:
  Compare 53 and -84
  Swap 53 and -84
  List after swap: [-84, 53, -52, 50, -43, 16, -90, 37]
  Compare 53 and -52
  Swap 53 and -52
  List after swap: [-84, -52, 53, 50, -43, 16, -90, 37]
  Compare 53 and 50
  Swap 53 and 50
  List after swap: [-84, -52, 50, 53, -43, 16, -90, 37]
  Compare 53 and -43
  Swap 53 and -43
  List after swap: [-84, -52, 50, -43, 53, 16, -90, 37]
  Compare 53 and 16
  Swap 53 and 16
  List after swap: [-84, -52, 50, -43, 16, 53, -90, 37]
  Compare 53 and -90
  Swap 53 and -90
  List after swap: [-84, -52, 50, -43, 16, -90, 53, 37]
  Compare 53 and 37
  Swap 53 and 37
  List after swap: [-84, -52, 50, -43, 16, -90, 37, 53]

Pass 2:
  Compare -84 and -52
  No swap needed
  Compare -52 and 50
  No swap needed
  Compare 50 and -43
  Swap 50 and -43
  List after swap: [-84, -52, -43, 50, 16, -90, 37, 53]
  Compare 50 and 16
  Swap 50 and 16
  List after swap: [-84, -52, -43, 16, 50, -90, 37, 53]
  Compare 50 and -90
  Swap 50 and -90
  List after swap: [-84, -52, -43, 16, -90, 50, 37, 53]
  Compare 50 and 37
  Swap 50 and 37
  List after swap: [-84, -52, -43, 16, -90, 37, 50, 53]

Pass 3:
  Compare -84 and -52
  No swap needed
  Compare -52 and -43
  No swap needed
  Compare -43 and 16
  No swap needed
  Compare 16 and -90
  Swap 16 and -90
  List after swap: [-84, -52, -43, -90, 16, 37, 50, 53]
  Compare 16 and 37
  No swap needed

Pass 4:
  Compare -84 and -52
  No swap needed
  Compare -52 and -43
  No swap needed
  Compare -43 and -90
  Swap -43 and -90
  List after swap: [-84, -52, -90, -43, 16, 37, 50, 53]
  Compare -43 and 16
  No swap needed

Pass 5:
  Compare -84 and -52
  No swap needed
  Compare -52 and -90
  Swap -52 and -90
  List after swap: [-84, -90, -52, -43, 16, 37, 50, 53]
  Compare -52 and -43
  No swap needed

Pass 6:
  Compare -84 and -90
  Swap -84 and -90
  List after swap: [-90, -84, -52, -43, 16, 37, 50, 53]
  Compare -84 and -52
  No swap needed

Pass 7:
  Compare -90 and -84
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -84, -52, -43, 16, 37, 50, 53]
</think>

<response>-90, -84, -52, -43, 16, 37, 50, 53</response>


input: Carry out the bubble sort algorithm on 28, -73 to arrange them from smallest to largest, documenting each step.

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

Pass 1:
  Compare 28 and -73
  Swap 28 and -73
  List after swap: [-73, 28]

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

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

<response>-73, 28</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 3, 26, 66, 61, 39, 2, -49, 10, 14, 67.

output:
<think>
Initial list: [3, 26, 66, 61, 39, 2, -49, 10, 14, 67]

Pass 1:
  Compare 3 and 26
  No swap needed
  Compare 26 and 66
  No swap needed
  Compare 66 and 61
  Swap 66 and 61
  List after swap: [3, 26, 61, 66, 39, 2, -49, 10, 14, 67]
  Compare 66 and 39
  Swap 66 and 39
  List after swap: [3, 26, 61, 39, 66, 2, -49, 10, 14, 67]
  Compare 66 and 2
  Swap 66 and 2
  List after swap: [3, 26, 61, 39, 2, 66, -49, 10, 14, 67]
  Compare 66 and -49
  Swap 66 and -49
  List after swap: [3, 26, 61, 39, 2, -49, 66, 10, 14, 67]
  Compare 66 and 10
  Swap 66 and 10
  List after swap: [3, 26, 61, 39, 2, -49, 10, 66, 14, 67]
  Compare 66 and 14
  Swap 66 and 14
  List after swap: [3, 26, 61, 39, 2, -49, 10, 14, 66, 67]
  Compare 66 and 67
  No swap needed

Pass 2:
  Compare 3 and 26
  No swap needed
  Compare 26 and 61
  No swap needed
  Compare 61 and 39
  Swap 61 and 39
  List after swap: [3, 26, 39, 61, 2, -49, 10, 14, 66, 67]
  Compare 61 and 2
  Swap 61 and 2
  List after swap: [3, 26, 39, 2, 61, -49, 10, 14, 66, 67]
  Compare 61 and -49
  Swap 61 and -49
  List after swap: [3, 26, 39, 2, -49, 61, 10, 14, 66, 67]
  Compare 61 and 10
  Swap 61 and 10
  List after swap: [3, 26, 39, 2, -49, 10, 61, 14, 66, 67]
  Compare 61 and 14
  Swap 61 and 14
  List after swap: [3, 26, 39, 2, -49, 10, 14, 61, 66, 67]
  Compare 61 and 66
  No swap needed

Pass 3:
  Compare 3 and 26
  No swap needed
  Compare 26 and 39
  No swap needed
  Compare 39 and 2
  Swap 39 and 2
  List after swap: [3, 26, 2, 39, -49, 10, 14, 61, 66, 67]
  Compare 39 and -49
  Swap 39 and -49
  List after swap: [3, 26, 2, -49, 39, 10, 14, 61, 66, 67]
  Compare 39 and 10
  Swap 39 and 10
  List after swap: [3, 26, 2, -49, 10, 39, 14, 61, 66, 67]
  Compare 39 and 14
  Swap 39 and 14
  List after swap: [3, 26, 2, -49, 10, 14, 39, 61, 66, 67]
  Compare 39 and 61
  No swap needed

Pass 4:
  Compare 3 and 26
  No swap needed
  Compare 26 and 2
  Swap 26 and 2
  List after swap: [3, 2, 26, -49, 10, 14, 39, 61, 66, 67]
  Compare 26 and -49
  Swap 26 and -49
  List after swap: [3, 2, -49, 26, 10, 14, 39, 61, 66, 67]
  Compare 26 and 10
  Swap 26 and 10
  List after swap: [3, 2, -49, 10, 26, 14, 39, 61, 66, 67]
  Compare 26 and 14
  Swap 26 and 14
  List after swap: [3, 2, -49, 10, 14, 26, 39, 61, 66, 67]
  Compare 26 and 39
  No swap needed

Pass 5:
  Compare 3 and 2
  Swap 3 and 2
  List after swap: [2, 3, -49, 10, 14, 26, 39, 61, 66, 67]
  Compare 3 and -49
  Swap 3 and -49
  List after swap: [2, -49, 3, 10, 14, 26, 39, 61, 66, 67]
  Compare 3 and 10
  No swap needed
  Compare 10 and 14
  No swap needed
  Compare 14 and 26
  No swap needed

Pass 6:
  Compare 2 and -49
  Swap 2 and -49
  List after swap: [-49, 2, 3, 10, 14, 26, 39, 61, 66, 67]
  Compare 2 and 3
  No swap needed
  Compare 3 and 10
  No swap needed
  Compare 10 and 14
  No swap needed

Pass 7:
  Compare -49 and 2
  No swap needed
  Compare 2 and 3
  No swap needed
  Compare 3 and 10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-49, 2, 3, 10, 14, 26, 39, 61, 66, 67]
</think>

<response>-49, 2, 3, 10, 14, 26, 39, 61, 66, 67</response>


input: Carry out the bubble sort algorithm on -58, 25, -47, -40, -60, -84, 31 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-58, 25, -47, -40, -60, -84, 31]

Pass 1:
  Compare -58 and 25
  No swap needed
  Compare 25 and -47
  Swap 25 and -47
  List after swap: [-58, -47, 25, -40, -60, -84, 31]
  Compare 25 and -40
  Swap 25 and -40
  List after swap: [-58, -47, -40, 25, -60, -84, 31]
  Compare 25 and -60
  Swap 25 and -60
  List after swap: [-58, -47, -40, -60, 25, -84, 31]
  Compare 25 and -84
  Swap 25 and -84
  List after swap: [-58, -47, -40, -60, -84, 25, 31]
  Compare 25 and 31
  No swap needed

Pass 2:
  Compare -58 and -47
  No swap needed
  Compare -47 and -40
  No swap needed
  Compare -40 and -60
  Swap -40 and -60
  List after swap: [-58, -47, -60, -40, -84, 25, 31]
  Compare -40 and -84
  Swap -40 and -84
  List after swap: [-58, -47, -60, -84, -40, 25, 31]
  Compare -40 and 25
  No swap needed

Pass 3:
  Compare -58 and -47
  No swap needed
  Compare -47 and -60
  Swap -47 and -60
  List after swap: [-58, -60, -47, -84, -40, 25, 31]
  Compare -47 and -84
  Swap -47 and -84
  List after swap: [-58, -60, -84, -47, -40, 25, 31]
  Compare -47 and -40
  No swap needed

Pass 4:
  Compare -58 and -60
  Swap -58 and -60
  List after swap: [-60, -58, -84, -47, -40, 25, 31]
  Compare -58 and -84
  Swap -58 and -84
  List after swap: [-60, -84, -58, -47, -40, 25, 31]
  Compare -58 and -47
  No swap needed

Pass 5:
  Compare -60 and -84
  Swap -60 and -84
  List after swap: [-84, -60, -58, -47, -40, 25, 31]
  Compare -60 and -58
  No swap needed

Pass 6:
  Compare -84 and -60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -60, -58, -47, -40, 25, 31]
</think>

<response>-84, -60, -58, -47, -40, 25, 31</response>


input: Execute bubble sort to sort -89, -83, -76, -50, -42, -4, 43, 48, -86, 56 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-89, -83, -76, -50, -42, -4, 43, 48, -86, 56]

Pass 1:
  Compare -89 and -83
  No swap needed
  Compare -83 and -76
  No swap needed
  Compare -76 and -50
  No swap needed
  Compare -50 and -42
  No swap needed
  Compare -42 and -4
  No swap needed
  Compare -4 and 43
  No swap needed
  Compare 43 and 48
  No swap needed
  Compare 48 and -86
  Swap 48 and -86
  List after swap: [-89, -83, -76, -50, -42, -4, 43, -86, 48, 56]
  Compare 48 and 56
  No swap needed

Pass 2:
  Compare -89 and -83
  No swap needed
  Compare -83 and -76
  No swap needed
  Compare -76 and -50
  No swap needed
  Compare -50 and -42
  No swap needed
  Compare -42 and -4
  No swap needed
  Compare -4 and 43
  No swap needed
  Compare 43 and -86
  Swap 43 and -86
  List after swap: [-89, -83, -76, -50, -42, -4, -86, 43, 48, 56]
  Compare 43 and 48
  No swap needed

Pass 3:
  Compare -89 and -83
  No swap needed
  Compare -83 and -76
  No swap needed
  Compare -76 and -50
  No swap needed
  Compare -50 and -42
  No swap needed
  Compare -42 and -4
  No swap needed
  Compare -4 and -86
  Swap -4 and -86
  List after swap: [-89, -83, -76, -50, -42, -86, -4, 43, 48, 56]
  Compare -4 and 43
  No swap needed

Pass 4:
  Compare -89 and -83
  No swap needed
  Compare -83 and -76
  No swap needed
  Compare -76 and -50
  No swap needed
  Compare -50 and -42
  No swap needed
  Compare -42 and -86
  Swap -42 and -86
  List after swap: [-89, -83, -76, -50, -86, -42, -4, 43, 48, 56]
  Compare -42 and -4
  No swap needed

Pass 5:
  Compare -89 and -83
  No swap needed
  Compare -83 and -76
  No swap needed
  Compare -76 and -50
  No swap needed
  Compare -50 and -86
  Swap -50 and -86
  List after swap: [-89, -83, -76, -86, -50, -42, -4, 43, 48, 56]
  Compare -50 and -42
  No swap needed

Pass 6:
  Compare -89 and -83
  No swap needed
  Compare -83 and -76
  No swap needed
  Compare -76 and -86
  Swap -76 and -86
  List after swap: [-89, -83, -86, -76, -50, -42, -4, 43, 48, 56]
  Compare -76 and -50
  No swap needed

Pass 7:
  Compare -89 and -83
  No swap needed
  Compare -83 and -86
  Swap -83 and -86
  List after swap: [-89, -86, -83, -76, -50, -42, -4, 43, 48, 56]
  Compare -83 and -76
  No swap needed

Pass 8:
  Compare -89 and -86
  No swap needed
  Compare -86 and -83
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -86, -83, -76, -50, -42, -4, 43, 48, 56]
</think>

<response>-89, -86, -83, -76, -50, -42, -4, 43, 48, 56</response>


input: Carry out the bubble sort algorithm on -88, 58, -67, 9, -78, 23 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-88, 58, -67, 9, -78, 23]

Pass 1:
  Compare -88 and 58
  No swap needed
  Compare 58 and -67
  Swap 58 and -67
  List after swap: [-88, -67, 58, 9, -78, 23]
  Compare 58 and 9
  Swap 58 and 9
  List after swap: [-88, -67, 9, 58, -78, 23]
  Compare 58 and -78
  Swap 58 and -78
  List after swap: [-88, -67, 9, -78, 58, 23]
  Compare 58 and 23
  Swap 58 and 23
  List after swap: [-88, -67, 9, -78, 23, 58]

Pass 2:
  Compare -88 and -67
  No swap needed
  Compare -67 and 9
  No swap needed
  Compare 9 and -78
  Swap 9 and -78
  List after swap: [-88, -67, -78, 9, 23, 58]
  Compare 9 and 23
  No swap needed

Pass 3:
  Compare -88 and -67
  No swap needed
  Compare -67 and -78
  Swap -67 and -78
  List after swap: [-88, -78, -67, 9, 23, 58]
  Compare -67 and 9
  No swap needed

Pass 4:
  Compare -88 and -78
  No swap needed
  Compare -78 and -67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -78, -67, 9, 23, 58]
</think>

<response>-88, -78, -67, 9, 23, 58</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 51, -90, -25, 60, 16, 20.

output:
<think>
Initial list: [51, -90, -25, 60, 16, 20]

Pass 1:
  Compare 51 and -90
  Swap 51 and -90
  List after swap: [-90, 51, -25, 60, 16, 20]
  Compare 51 and -25
  Swap 51 and -25
  List after swap: [-90, -25, 51, 60, 16, 20]
  Compare 51 and 60
  No swap needed
  Compare 60 and 16
  Swap 60 and 16
  List after swap: [-90, -25, 51, 16, 60, 20]
  Compare 60 and 20
  Swap 60 and 20
  List after swap: [-90, -25, 51, 16, 20, 60]

Pass 2:
  Compare -90 and -25
  No swap needed
  Compare -25 and 51
  No swap needed
  Compare 51 and 16
  Swap 51 and 16
  List after swap: [-90, -25, 16, 51, 20, 60]
  Compare 51 and 20
  Swap 51 and 20
  List after swap: [-90, -25, 16, 20, 51, 60]

Pass 3:
  Compare -90 and -25
  No swap needed
  Compare -25 and 16
  No swap needed
  Compare 16 and 20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -25, 16, 20, 51, 60]
</think>

<response>-90, -25, 16, 20, 51, 60</response>


input: Using the bubble sort method, sort -48, 2, -64, 50, 21, -2, 42, 24, 69 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-48, 2, -64, 50, 21, -2, 42, 24, 69]

Pass 1:
  Compare -48 and 2
  No swap needed
  Compare 2 and -64
  Swap 2 and -64
  List after swap: [-48, -64, 2, 50, 21, -2, 42, 24, 69]
  Compare 2 and 50
  No swap needed
  Compare 50 and 21
  Swap 50 and 21
  List after swap: [-48, -64, 2, 21, 50, -2, 42, 24, 69]
  Compare 50 and -2
  Swap 50 and -2
  List after swap: [-48, -64, 2, 21, -2, 50, 42, 24, 69]
  Compare 50 and 42
  Swap 50 and 42
  List after swap: [-48, -64, 2, 21, -2, 42, 50, 24, 69]
  Compare 50 and 24
  Swap 50 and 24
  List after swap: [-48, -64, 2, 21, -2, 42, 24, 50, 69]
  Compare 50 and 69
  No swap needed

Pass 2:
  Compare -48 and -64
  Swap -48 and -64
  List after swap: [-64, -48, 2, 21, -2, 42, 24, 50, 69]
  Compare -48 and 2
  No swap needed
  Compare 2 and 21
  No swap needed
  Compare 21 and -2
  Swap 21 and -2
  List after swap: [-64, -48, 2, -2, 21, 42, 24, 50, 69]
  Compare 21 and 42
  No swap needed
  Compare 42 and 24
  Swap 42 and 24
  List after swap: [-64, -48, 2, -2, 21, 24, 42, 50, 69]
  Compare 42 and 50
  No swap needed

Pass 3:
  Compare -64 and -48
  No swap needed
  Compare -48 and 2
  No swap needed
  Compare 2 and -2
  Swap 2 and -2
  List after swap: [-64, -48, -2, 2, 21, 24, 42, 50, 69]
  Compare 2 and 21
  No swap needed
  Compare 21 and 24
  No swap needed
  Compare 24 and 42
  No swap needed

Pass 4:
  Compare -64 and -48
  No swap needed
  Compare -48 and -2
  No swap needed
  Compare -2 and 2
  No swap needed
  Compare 2 and 21
  No swap needed
  Compare 21 and 24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -48, -2, 2, 21, 24, 42, 50, 69]
</think>

<response>-64, -48, -2, 2, 21, 24, 42, 50, 69</response>


input: Arrange the numbers -41, -17, 33, -56, -1 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-41, -17, 33, -56, -1]

Pass 1:
  Compare -41 and -17
  No swap needed
  Compare -17 and 33
  No swap needed
  Compare 33 and -56
  Swap 33 and -56
  List after swap: [-41, -17, -56, 33, -1]
  Compare 33 and -1
  Swap 33 and -1
  List after swap: [-41, -17, -56, -1, 33]

Pass 2:
  Compare -41 and -17
  No swap needed
  Compare -17 and -56
  Swap -17 and -56
  List after swap: [-41, -56, -17, -1, 33]
  Compare -17 and -1
  No swap needed

Pass 3:
  Compare -41 and -56
  Swap -41 and -56
  List after swap: [-56, -41, -17, -1, 33]
  Compare -41 and -17
  No swap needed

Pass 4:
  Compare -56 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -41, -17, -1, 33]
</think>

<response>-56, -41, -17, -1, 33</response>


input: Carry out the bubble sort algorithm on -55, -24 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-55, -24]

Pass 1:
  Compare -55 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, -24]
</think>

<response>-55, -24</response>


input: Execute bubble sort to sort -80, 4, 90, -61, 28, 41, -19, 0 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-80, 4, 90, -61, 28, 41, -19, 0]

Pass 1:
  Compare -80 and 4
  No swap needed
  Compare 4 and 90
  No swap needed
  Compare 90 and -61
  Swap 90 and -61
  List after swap: [-80, 4, -61, 90, 28, 41, -19, 0]
  Compare 90 and 28
  Swap 90 and 28
  List after swap: [-80, 4, -61, 28, 90, 41, -19, 0]
  Compare 90 and 41
  Swap 90 and 41
  List after swap: [-80, 4, -61, 28, 41, 90, -19, 0]
  Compare 90 and -19
  Swap 90 and -19
  List after swap: [-80, 4, -61, 28, 41, -19, 90, 0]
  Compare 90 and 0
  Swap 90 and 0
  List after swap: [-80, 4, -61, 28, 41, -19, 0, 90]

Pass 2:
  Compare -80 and 4
  No swap needed
  Compare 4 and -61
  Swap 4 and -61
  List after swap: [-80, -61, 4, 28, 41, -19, 0, 90]
  Compare 4 and 28
  No swap needed
  Compare 28 and 41
  No swap needed
  Compare 41 and -19
  Swap 41 and -19
  List after swap: [-80, -61, 4, 28, -19, 41, 0, 90]
  Compare 41 and 0
  Swap 41 and 0
  List after swap: [-80, -61, 4, 28, -19, 0, 41, 90]

Pass 3:
  Compare -80 and -61
  No swap needed
  Compare -61 and 4
  No swap needed
  Compare 4 and 28
  No swap needed
  Compare 28 and -19
  Swap 28 and -19
  List after swap: [-80, -61, 4, -19, 28, 0, 41, 90]
  Compare 28 and 0
  Swap 28 and 0
  List after swap: [-80, -61, 4, -19, 0, 28, 41, 90]

Pass 4:
  Compare -80 and -61
  No swap needed
  Compare -61 and 4
  No swap needed
  Compare 4 and -19
  Swap 4 and -19
  List after swap: [-80, -61, -19, 4, 0, 28, 41, 90]
  Compare 4 and 0
  Swap 4 and 0
  List after swap: [-80, -61, -19, 0, 4, 28, 41, 90]

Pass 5:
  Compare -80 and -61
  No swap needed
  Compare -61 and -19
  No swap needed
  Compare -19 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -61, -19, 0, 4, 28, 41, 90]
</think>

<response>-80, -61, -19, 0, 4, 28, 41, 90</response>


input: Sort these integers 89, -16, 78, -94, 94 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [89, -16, 78, -94, 94]

Pass 1:
  Compare 89 and -16
  Swap 89 and -16
  List after swap: [-16, 89, 78, -94, 94]
  Compare 89 and 78
  Swap 89 and 78
  List after swap: [-16, 78, 89, -94, 94]
  Compare 89 and -94
  Swap 89 and -94
  List after swap: [-16, 78, -94, 89, 94]
  Compare 89 and 94
  No swap needed

Pass 2:
  Compare -16 and 78
  No swap needed
  Compare 78 and -94
  Swap 78 and -94
  List after swap: [-16, -94, 78, 89, 94]
  Compare 78 and 89
  No swap needed

Pass 3:
  Compare -16 and -94
  Swap -16 and -94
  List after swap: [-94, -16, 78, 89, 94]
  Compare -16 and 78
  No swap needed

Pass 4:
  Compare -94 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -16, 78, 89, 94]
</think>

<response>-94, -16, 78, 89, 94</response>