input: Perform a bubble sort on the integers -42, -9, 25, 46, -28, 90, 17, -13, -62, 78, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-42, -9, 25, 46, -28, 90, 17, -13, -62, 78]

Pass 1:
  Compare -42 and -9
  No swap needed
  Compare -9 and 25
  No swap needed
  Compare 25 and 46
  No swap needed
  Compare 46 and -28
  Swap 46 and -28
  List after swap: [-42, -9, 25, -28, 46, 90, 17, -13, -62, 78]
  Compare 46 and 90
  No swap needed
  Compare 90 and 17
  Swap 90 and 17
  List after swap: [-42, -9, 25, -28, 46, 17, 90, -13, -62, 78]
  Compare 90 and -13
  Swap 90 and -13
  List after swap: [-42, -9, 25, -28, 46, 17, -13, 90, -62, 78]
  Compare 90 and -62
  Swap 90 and -62
  List after swap: [-42, -9, 25, -28, 46, 17, -13, -62, 90, 78]
  Compare 90 and 78
  Swap 90 and 78
  List after swap: [-42, -9, 25, -28, 46, 17, -13, -62, 78, 90]

Pass 2:
  Compare -42 and -9
  No swap needed
  Compare -9 and 25
  No swap needed
  Compare 25 and -28
  Swap 25 and -28
  List after swap: [-42, -9, -28, 25, 46, 17, -13, -62, 78, 90]
  Compare 25 and 46
  No swap needed
  Compare 46 and 17
  Swap 46 and 17
  List after swap: [-42, -9, -28, 25, 17, 46, -13, -62, 78, 90]
  Compare 46 and -13
  Swap 46 and -13
  List after swap: [-42, -9, -28, 25, 17, -13, 46, -62, 78, 90]
  Compare 46 and -62
  Swap 46 and -62
  List after swap: [-42, -9, -28, 25, 17, -13, -62, 46, 78, 90]
  Compare 46 and 78
  No swap needed

Pass 3:
  Compare -42 and -9
  No swap needed
  Compare -9 and -28
  Swap -9 and -28
  List after swap: [-42, -28, -9, 25, 17, -13, -62, 46, 78, 90]
  Compare -9 and 25
  No swap needed
  Compare 25 and 17
  Swap 25 and 17
  List after swap: [-42, -28, -9, 17, 25, -13, -62, 46, 78, 90]
  Compare 25 and -13
  Swap 25 and -13
  List after swap: [-42, -28, -9, 17, -13, 25, -62, 46, 78, 90]
  Compare 25 and -62
  Swap 25 and -62
  List after swap: [-42, -28, -9, 17, -13, -62, 25, 46, 78, 90]
  Compare 25 and 46
  No swap needed

Pass 4:
  Compare -42 and -28
  No swap needed
  Compare -28 and -9
  No swap needed
  Compare -9 and 17
  No swap needed
  Compare 17 and -13
  Swap 17 and -13
  List after swap: [-42, -28, -9, -13, 17, -62, 25, 46, 78, 90]
  Compare 17 and -62
  Swap 17 and -62
  List after swap: [-42, -28, -9, -13, -62, 17, 25, 46, 78, 90]
  Compare 17 and 25
  No swap needed

Pass 5:
  Compare -42 and -28
  No swap needed
  Compare -28 and -9
  No swap needed
  Compare -9 and -13
  Swap -9 and -13
  List after swap: [-42, -28, -13, -9, -62, 17, 25, 46, 78, 90]
  Compare -9 and -62
  Swap -9 and -62
  List after swap: [-42, -28, -13, -62, -9, 17, 25, 46, 78, 90]
  Compare -9 and 17
  No swap needed

Pass 6:
  Compare -42 and -28
  No swap needed
  Compare -28 and -13
  No swap needed
  Compare -13 and -62
  Swap -13 and -62
  List after swap: [-42, -28, -62, -13, -9, 17, 25, 46, 78, 90]
  Compare -13 and -9
  No swap needed

Pass 7:
  Compare -42 and -28
  No swap needed
  Compare -28 and -62
  Swap -28 and -62
  List after swap: [-42, -62, -28, -13, -9, 17, 25, 46, 78, 90]
  Compare -28 and -13
  No swap needed

Pass 8:
  Compare -42 and -62
  Swap -42 and -62
  List after swap: [-62, -42, -28, -13, -9, 17, 25, 46, 78, 90]
  Compare -42 and -28
  No swap needed

Pass 9:
  Compare -62 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -42, -28, -13, -9, 17, 25, 46, 78, 90]
</think>

<response>-62, -42, -28, -13, -9, 17, 25, 46, 78, 90</response>


input: Demonstrate how bubble sort orders the integers 74, -88 in ascending sequence, showing all steps.

output:
<think>
Initial list: [74, -88]

Pass 1:
  Compare 74 and -88
  Swap 74 and -88
  List after swap: [-88, 74]

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

Final sorted list: [-88, 74]
</think>

<response>-88, 74</response>


input: Use the bubble sort technique to reorder -90, -69, -52, 27, 22, 56 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-90, -69, -52, 27, 22, 56]

Pass 1:
  Compare -90 and -69
  No swap needed
  Compare -69 and -52
  No swap needed
  Compare -52 and 27
  No swap needed
  Compare 27 and 22
  Swap 27 and 22
  List after swap: [-90, -69, -52, 22, 27, 56]
  Compare 27 and 56
  No swap needed

Pass 2:
  Compare -90 and -69
  No swap needed
  Compare -69 and -52
  No swap needed
  Compare -52 and 22
  No swap needed
  Compare 22 and 27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -69, -52, 22, 27, 56]
</think>

<response>-90, -69, -52, 22, 27, 56</response>


input: Sort the list 6, -94, 23, 5, -63, -51, -85, -78, 51 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [6, -94, 23, 5, -63, -51, -85, -78, 51]

Pass 1:
  Compare 6 and -94
  Swap 6 and -94
  List after swap: [-94, 6, 23, 5, -63, -51, -85, -78, 51]
  Compare 6 and 23
  No swap needed
  Compare 23 and 5
  Swap 23 and 5
  List after swap: [-94, 6, 5, 23, -63, -51, -85, -78, 51]
  Compare 23 and -63
  Swap 23 and -63
  List after swap: [-94, 6, 5, -63, 23, -51, -85, -78, 51]
  Compare 23 and -51
  Swap 23 and -51
  List after swap: [-94, 6, 5, -63, -51, 23, -85, -78, 51]
  Compare 23 and -85
  Swap 23 and -85
  List after swap: [-94, 6, 5, -63, -51, -85, 23, -78, 51]
  Compare 23 and -78
  Swap 23 and -78
  List after swap: [-94, 6, 5, -63, -51, -85, -78, 23, 51]
  Compare 23 and 51
  No swap needed

Pass 2:
  Compare -94 and 6
  No swap needed
  Compare 6 and 5
  Swap 6 and 5
  List after swap: [-94, 5, 6, -63, -51, -85, -78, 23, 51]
  Compare 6 and -63
  Swap 6 and -63
  List after swap: [-94, 5, -63, 6, -51, -85, -78, 23, 51]
  Compare 6 and -51
  Swap 6 and -51
  List after swap: [-94, 5, -63, -51, 6, -85, -78, 23, 51]
  Compare 6 and -85
  Swap 6 and -85
  List after swap: [-94, 5, -63, -51, -85, 6, -78, 23, 51]
  Compare 6 and -78
  Swap 6 and -78
  List after swap: [-94, 5, -63, -51, -85, -78, 6, 23, 51]
  Compare 6 and 23
  No swap needed

Pass 3:
  Compare -94 and 5
  No swap needed
  Compare 5 and -63
  Swap 5 and -63
  List after swap: [-94, -63, 5, -51, -85, -78, 6, 23, 51]
  Compare 5 and -51
  Swap 5 and -51
  List after swap: [-94, -63, -51, 5, -85, -78, 6, 23, 51]
  Compare 5 and -85
  Swap 5 and -85
  List after swap: [-94, -63, -51, -85, 5, -78, 6, 23, 51]
  Compare 5 and -78
  Swap 5 and -78
  List after swap: [-94, -63, -51, -85, -78, 5, 6, 23, 51]
  Compare 5 and 6
  No swap needed

Pass 4:
  Compare -94 and -63
  No swap needed
  Compare -63 and -51
  No swap needed
  Compare -51 and -85
  Swap -51 and -85
  List after swap: [-94, -63, -85, -51, -78, 5, 6, 23, 51]
  Compare -51 and -78
  Swap -51 and -78
  List after swap: [-94, -63, -85, -78, -51, 5, 6, 23, 51]
  Compare -51 and 5
  No swap needed

Pass 5:
  Compare -94 and -63
  No swap needed
  Compare -63 and -85
  Swap -63 and -85
  List after swap: [-94, -85, -63, -78, -51, 5, 6, 23, 51]
  Compare -63 and -78
  Swap -63 and -78
  List after swap: [-94, -85, -78, -63, -51, 5, 6, 23, 51]
  Compare -63 and -51
  No swap needed

Pass 6:
  Compare -94 and -85
  No swap needed
  Compare -85 and -78
  No swap needed
  Compare -78 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -85, -78, -63, -51, 5, 6, 23, 51]
</think>

<response>-94, -85, -78, -63, -51, 5, 6, 23, 51</response>


input: Carry out the bubble sort algorithm on 71, -10, -41 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [71, -10, -41]

Pass 1:
  Compare 71 and -10
  Swap 71 and -10
  List after swap: [-10, 71, -41]
  Compare 71 and -41
  Swap 71 and -41
  List after swap: [-10, -41, 71]

Pass 2:
  Compare -10 and -41
  Swap -10 and -41
  List after swap: [-41, -10, 71]

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

Final sorted list: [-41, -10, 71]
</think>

<response>-41, -10, 71</response>


input: Carry out the bubble sort algorithm on 86, 3, 17, -77 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [86, 3, 17, -77]

Pass 1:
  Compare 86 and 3
  Swap 86 and 3
  List after swap: [3, 86, 17, -77]
  Compare 86 and 17
  Swap 86 and 17
  List after swap: [3, 17, 86, -77]
  Compare 86 and -77
  Swap 86 and -77
  List after swap: [3, 17, -77, 86]

Pass 2:
  Compare 3 and 17
  No swap needed
  Compare 17 and -77
  Swap 17 and -77
  List after swap: [3, -77, 17, 86]

Pass 3:
  Compare 3 and -77
  Swap 3 and -77
  List after swap: [-77, 3, 17, 86]

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

Final sorted list: [-77, 3, 17, 86]
</think>

<response>-77, 3, 17, 86</response>


input: Use the bubble sort technique to reorder 64, -72 into ascending order, and write down each step of the procedure.

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

Pass 1:
  Compare 64 and -72
  Swap 64 and -72
  List after swap: [-72, 64]

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

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

<response>-72, 64</response>


input: Execute bubble sort to sort 86, 12, 61 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [86, 12, 61]

Pass 1:
  Compare 86 and 12
  Swap 86 and 12
  List after swap: [12, 86, 61]
  Compare 86 and 61
  Swap 86 and 61
  List after swap: [12, 61, 86]

Pass 2:
  Compare 12 and 61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [12, 61, 86]
</think>

<response>12, 61, 86</response>


input: Using the bubble sort method, sort -66, -70, 31, -16, 59, 88, 67, -74, 36, -83 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-66, -70, 31, -16, 59, 88, 67, -74, 36, -83]

Pass 1:
  Compare -66 and -70
  Swap -66 and -70
  List after swap: [-70, -66, 31, -16, 59, 88, 67, -74, 36, -83]
  Compare -66 and 31
  No swap needed
  Compare 31 and -16
  Swap 31 and -16
  List after swap: [-70, -66, -16, 31, 59, 88, 67, -74, 36, -83]
  Compare 31 and 59
  No swap needed
  Compare 59 and 88
  No swap needed
  Compare 88 and 67
  Swap 88 and 67
  List after swap: [-70, -66, -16, 31, 59, 67, 88, -74, 36, -83]
  Compare 88 and -74
  Swap 88 and -74
  List after swap: [-70, -66, -16, 31, 59, 67, -74, 88, 36, -83]
  Compare 88 and 36
  Swap 88 and 36
  List after swap: [-70, -66, -16, 31, 59, 67, -74, 36, 88, -83]
  Compare 88 and -83
  Swap 88 and -83
  List after swap: [-70, -66, -16, 31, 59, 67, -74, 36, -83, 88]

Pass 2:
  Compare -70 and -66
  No swap needed
  Compare -66 and -16
  No swap needed
  Compare -16 and 31
  No swap needed
  Compare 31 and 59
  No swap needed
  Compare 59 and 67
  No swap needed
  Compare 67 and -74
  Swap 67 and -74
  List after swap: [-70, -66, -16, 31, 59, -74, 67, 36, -83, 88]
  Compare 67 and 36
  Swap 67 and 36
  List after swap: [-70, -66, -16, 31, 59, -74, 36, 67, -83, 88]
  Compare 67 and -83
  Swap 67 and -83
  List after swap: [-70, -66, -16, 31, 59, -74, 36, -83, 67, 88]

Pass 3:
  Compare -70 and -66
  No swap needed
  Compare -66 and -16
  No swap needed
  Compare -16 and 31
  No swap needed
  Compare 31 and 59
  No swap needed
  Compare 59 and -74
  Swap 59 and -74
  List after swap: [-70, -66, -16, 31, -74, 59, 36, -83, 67, 88]
  Compare 59 and 36
  Swap 59 and 36
  List after swap: [-70, -66, -16, 31, -74, 36, 59, -83, 67, 88]
  Compare 59 and -83
  Swap 59 and -83
  List after swap: [-70, -66, -16, 31, -74, 36, -83, 59, 67, 88]

Pass 4:
  Compare -70 and -66
  No swap needed
  Compare -66 and -16
  No swap needed
  Compare -16 and 31
  No swap needed
  Compare 31 and -74
  Swap 31 and -74
  List after swap: [-70, -66, -16, -74, 31, 36, -83, 59, 67, 88]
  Compare 31 and 36
  No swap needed
  Compare 36 and -83
  Swap 36 and -83
  List after swap: [-70, -66, -16, -74, 31, -83, 36, 59, 67, 88]

Pass 5:
  Compare -70 and -66
  No swap needed
  Compare -66 and -16
  No swap needed
  Compare -16 and -74
  Swap -16 and -74
  List after swap: [-70, -66, -74, -16, 31, -83, 36, 59, 67, 88]
  Compare -16 and 31
  No swap needed
  Compare 31 and -83
  Swap 31 and -83
  List after swap: [-70, -66, -74, -16, -83, 31, 36, 59, 67, 88]

Pass 6:
  Compare -70 and -66
  No swap needed
  Compare -66 and -74
  Swap -66 and -74
  List after swap: [-70, -74, -66, -16, -83, 31, 36, 59, 67, 88]
  Compare -66 and -16
  No swap needed
  Compare -16 and -83
  Swap -16 and -83
  List after swap: [-70, -74, -66, -83, -16, 31, 36, 59, 67, 88]

Pass 7:
  Compare -70 and -74
  Swap -70 and -74
  List after swap: [-74, -70, -66, -83, -16, 31, 36, 59, 67, 88]
  Compare -70 and -66
  No swap needed
  Compare -66 and -83
  Swap -66 and -83
  List after swap: [-74, -70, -83, -66, -16, 31, 36, 59, 67, 88]

Pass 8:
  Compare -74 and -70
  No swap needed
  Compare -70 and -83
  Swap -70 and -83
  List after swap: [-74, -83, -70, -66, -16, 31, 36, 59, 67, 88]

Pass 9:
  Compare -74 and -83
  Swap -74 and -83
  List after swap: [-83, -74, -70, -66, -16, 31, 36, 59, 67, 88]

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

Final sorted list: [-83, -74, -70, -66, -16, 31, 36, 59, 67, 88]
</think>

<response>-83, -74, -70, -66, -16, 31, 36, 59, 67, 88</response>


input: Use the bubble sort technique to reorder 97, -24, 84, 30, 7, -32, 36 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [97, -24, 84, 30, 7, -32, 36]

Pass 1:
  Compare 97 and -24
  Swap 97 and -24
  List after swap: [-24, 97, 84, 30, 7, -32, 36]
  Compare 97 and 84
  Swap 97 and 84
  List after swap: [-24, 84, 97, 30, 7, -32, 36]
  Compare 97 and 30
  Swap 97 and 30
  List after swap: [-24, 84, 30, 97, 7, -32, 36]
  Compare 97 and 7
  Swap 97 and 7
  List after swap: [-24, 84, 30, 7, 97, -32, 36]
  Compare 97 and -32
  Swap 97 and -32
  List after swap: [-24, 84, 30, 7, -32, 97, 36]
  Compare 97 and 36
  Swap 97 and 36
  List after swap: [-24, 84, 30, 7, -32, 36, 97]

Pass 2:
  Compare -24 and 84
  No swap needed
  Compare 84 and 30
  Swap 84 and 30
  List after swap: [-24, 30, 84, 7, -32, 36, 97]
  Compare 84 and 7
  Swap 84 and 7
  List after swap: [-24, 30, 7, 84, -32, 36, 97]
  Compare 84 and -32
  Swap 84 and -32
  List after swap: [-24, 30, 7, -32, 84, 36, 97]
  Compare 84 and 36
  Swap 84 and 36
  List after swap: [-24, 30, 7, -32, 36, 84, 97]

Pass 3:
  Compare -24 and 30
  No swap needed
  Compare 30 and 7
  Swap 30 and 7
  List after swap: [-24, 7, 30, -32, 36, 84, 97]
  Compare 30 and -32
  Swap 30 and -32
  List after swap: [-24, 7, -32, 30, 36, 84, 97]
  Compare 30 and 36
  No swap needed

Pass 4:
  Compare -24 and 7
  No swap needed
  Compare 7 and -32
  Swap 7 and -32
  List after swap: [-24, -32, 7, 30, 36, 84, 97]
  Compare 7 and 30
  No swap needed

Pass 5:
  Compare -24 and -32
  Swap -24 and -32
  List after swap: [-32, -24, 7, 30, 36, 84, 97]
  Compare -24 and 7
  No swap needed

Pass 6:
  Compare -32 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-32, -24, 7, 30, 36, 84, 97]
</think>

<response>-32, -24, 7, 30, 36, 84, 97</response>


input: Perform a bubble sort on the integers -92, -53, 67, 16, 85, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-92, -53, 67, 16, 85]

Pass 1:
  Compare -92 and -53
  No swap needed
  Compare -53 and 67
  No swap needed
  Compare 67 and 16
  Swap 67 and 16
  List after swap: [-92, -53, 16, 67, 85]
  Compare 67 and 85
  No swap needed

Pass 2:
  Compare -92 and -53
  No swap needed
  Compare -53 and 16
  No swap needed
  Compare 16 and 67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -53, 16, 67, 85]
</think>

<response>-92, -53, 16, 67, 85</response>


input: Demonstrate how bubble sort orders the integers -70, 56, -65, 52, -17, 18, -44 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-70, 56, -65, 52, -17, 18, -44]

Pass 1:
  Compare -70 and 56
  No swap needed
  Compare 56 and -65
  Swap 56 and -65
  List after swap: [-70, -65, 56, 52, -17, 18, -44]
  Compare 56 and 52
  Swap 56 and 52
  List after swap: [-70, -65, 52, 56, -17, 18, -44]
  Compare 56 and -17
  Swap 56 and -17
  List after swap: [-70, -65, 52, -17, 56, 18, -44]
  Compare 56 and 18
  Swap 56 and 18
  List after swap: [-70, -65, 52, -17, 18, 56, -44]
  Compare 56 and -44
  Swap 56 and -44
  List after swap: [-70, -65, 52, -17, 18, -44, 56]

Pass 2:
  Compare -70 and -65
  No swap needed
  Compare -65 and 52
  No swap needed
  Compare 52 and -17
  Swap 52 and -17
  List after swap: [-70, -65, -17, 52, 18, -44, 56]
  Compare 52 and 18
  Swap 52 and 18
  List after swap: [-70, -65, -17, 18, 52, -44, 56]
  Compare 52 and -44
  Swap 52 and -44
  List after swap: [-70, -65, -17, 18, -44, 52, 56]

Pass 3:
  Compare -70 and -65
  No swap needed
  Compare -65 and -17
  No swap needed
  Compare -17 and 18
  No swap needed
  Compare 18 and -44
  Swap 18 and -44
  List after swap: [-70, -65, -17, -44, 18, 52, 56]

Pass 4:
  Compare -70 and -65
  No swap needed
  Compare -65 and -17
  No swap needed
  Compare -17 and -44
  Swap -17 and -44
  List after swap: [-70, -65, -44, -17, 18, 52, 56]

Pass 5:
  Compare -70 and -65
  No swap needed
  Compare -65 and -44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -65, -44, -17, 18, 52, 56]
</think>

<response>-70, -65, -44, -17, 18, 52, 56</response>


input: Arrange the numbers -91, -31, 77, -27, -82, -43, -86 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-91, -31, 77, -27, -82, -43, -86]

Pass 1:
  Compare -91 and -31
  No swap needed
  Compare -31 and 77
  No swap needed
  Compare 77 and -27
  Swap 77 and -27
  List after swap: [-91, -31, -27, 77, -82, -43, -86]
  Compare 77 and -82
  Swap 77 and -82
  List after swap: [-91, -31, -27, -82, 77, -43, -86]
  Compare 77 and -43
  Swap 77 and -43
  List after swap: [-91, -31, -27, -82, -43, 77, -86]
  Compare 77 and -86
  Swap 77 and -86
  List after swap: [-91, -31, -27, -82, -43, -86, 77]

Pass 2:
  Compare -91 and -31
  No swap needed
  Compare -31 and -27
  No swap needed
  Compare -27 and -82
  Swap -27 and -82
  List after swap: [-91, -31, -82, -27, -43, -86, 77]
  Compare -27 and -43
  Swap -27 and -43
  List after swap: [-91, -31, -82, -43, -27, -86, 77]
  Compare -27 and -86
  Swap -27 and -86
  List after swap: [-91, -31, -82, -43, -86, -27, 77]

Pass 3:
  Compare -91 and -31
  No swap needed
  Compare -31 and -82
  Swap -31 and -82
  List after swap: [-91, -82, -31, -43, -86, -27, 77]
  Compare -31 and -43
  Swap -31 and -43
  List after swap: [-91, -82, -43, -31, -86, -27, 77]
  Compare -31 and -86
  Swap -31 and -86
  List after swap: [-91, -82, -43, -86, -31, -27, 77]

Pass 4:
  Compare -91 and -82
  No swap needed
  Compare -82 and -43
  No swap needed
  Compare -43 and -86
  Swap -43 and -86
  List after swap: [-91, -82, -86, -43, -31, -27, 77]

Pass 5:
  Compare -91 and -82
  No swap needed
  Compare -82 and -86
  Swap -82 and -86
  List after swap: [-91, -86, -82, -43, -31, -27, 77]

Pass 6:
  Compare -91 and -86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -86, -82, -43, -31, -27, 77]
</think>

<response>-91, -86, -82, -43, -31, -27, 77</response>


input: Arrange the numbers -62, 53, -51 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-62, 53, -51]

Pass 1:
  Compare -62 and 53
  No swap needed
  Compare 53 and -51
  Swap 53 and -51
  List after swap: [-62, -51, 53]

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

Final sorted list: [-62, -51, 53]
</think>

<response>-62, -51, 53</response>


input: Sort the list -50, -76, -27, 15, -3, 7, 78, -55, -32 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-50, -76, -27, 15, -3, 7, 78, -55, -32]

Pass 1:
  Compare -50 and -76
  Swap -50 and -76
  List after swap: [-76, -50, -27, 15, -3, 7, 78, -55, -32]
  Compare -50 and -27
  No swap needed
  Compare -27 and 15
  No swap needed
  Compare 15 and -3
  Swap 15 and -3
  List after swap: [-76, -50, -27, -3, 15, 7, 78, -55, -32]
  Compare 15 and 7
  Swap 15 and 7
  List after swap: [-76, -50, -27, -3, 7, 15, 78, -55, -32]
  Compare 15 and 78
  No swap needed
  Compare 78 and -55
  Swap 78 and -55
  List after swap: [-76, -50, -27, -3, 7, 15, -55, 78, -32]
  Compare 78 and -32
  Swap 78 and -32
  List after swap: [-76, -50, -27, -3, 7, 15, -55, -32, 78]

Pass 2:
  Compare -76 and -50
  No swap needed
  Compare -50 and -27
  No swap needed
  Compare -27 and -3
  No swap needed
  Compare -3 and 7
  No swap needed
  Compare 7 and 15
  No swap needed
  Compare 15 and -55
  Swap 15 and -55
  List after swap: [-76, -50, -27, -3, 7, -55, 15, -32, 78]
  Compare 15 and -32
  Swap 15 and -32
  List after swap: [-76, -50, -27, -3, 7, -55, -32, 15, 78]

Pass 3:
  Compare -76 and -50
  No swap needed
  Compare -50 and -27
  No swap needed
  Compare -27 and -3
  No swap needed
  Compare -3 and 7
  No swap needed
  Compare 7 and -55
  Swap 7 and -55
  List after swap: [-76, -50, -27, -3, -55, 7, -32, 15, 78]
  Compare 7 and -32
  Swap 7 and -32
  List after swap: [-76, -50, -27, -3, -55, -32, 7, 15, 78]

Pass 4:
  Compare -76 and -50
  No swap needed
  Compare -50 and -27
  No swap needed
  Compare -27 and -3
  No swap needed
  Compare -3 and -55
  Swap -3 and -55
  List after swap: [-76, -50, -27, -55, -3, -32, 7, 15, 78]
  Compare -3 and -32
  Swap -3 and -32
  List after swap: [-76, -50, -27, -55, -32, -3, 7, 15, 78]

Pass 5:
  Compare -76 and -50
  No swap needed
  Compare -50 and -27
  No swap needed
  Compare -27 and -55
  Swap -27 and -55
  List after swap: [-76, -50, -55, -27, -32, -3, 7, 15, 78]
  Compare -27 and -32
  Swap -27 and -32
  List after swap: [-76, -50, -55, -32, -27, -3, 7, 15, 78]

Pass 6:
  Compare -76 and -50
  No swap needed
  Compare -50 and -55
  Swap -50 and -55
  List after swap: [-76, -55, -50, -32, -27, -3, 7, 15, 78]
  Compare -50 and -32
  No swap needed

Pass 7:
  Compare -76 and -55
  No swap needed
  Compare -55 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -55, -50, -32, -27, -3, 7, 15, 78]
</think>

<response>-76, -55, -50, -32, -27, -3, 7, 15, 78</response>


input: Carry out the bubble sort algorithm on 79, 16, -93, 9, 91, 64, 66 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [79, 16, -93, 9, 91, 64, 66]

Pass 1:
  Compare 79 and 16
  Swap 79 and 16
  List after swap: [16, 79, -93, 9, 91, 64, 66]
  Compare 79 and -93
  Swap 79 and -93
  List after swap: [16, -93, 79, 9, 91, 64, 66]
  Compare 79 and 9
  Swap 79 and 9
  List after swap: [16, -93, 9, 79, 91, 64, 66]
  Compare 79 and 91
  No swap needed
  Compare 91 and 64
  Swap 91 and 64
  List after swap: [16, -93, 9, 79, 64, 91, 66]
  Compare 91 and 66
  Swap 91 and 66
  List after swap: [16, -93, 9, 79, 64, 66, 91]

Pass 2:
  Compare 16 and -93
  Swap 16 and -93
  List after swap: [-93, 16, 9, 79, 64, 66, 91]
  Compare 16 and 9
  Swap 16 and 9
  List after swap: [-93, 9, 16, 79, 64, 66, 91]
  Compare 16 and 79
  No swap needed
  Compare 79 and 64
  Swap 79 and 64
  List after swap: [-93, 9, 16, 64, 79, 66, 91]
  Compare 79 and 66
  Swap 79 and 66
  List after swap: [-93, 9, 16, 64, 66, 79, 91]

Pass 3:
  Compare -93 and 9
  No swap needed
  Compare 9 and 16
  No swap needed
  Compare 16 and 64
  No swap needed
  Compare 64 and 66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, 9, 16, 64, 66, 79, 91]
</think>

<response>-93, 9, 16, 64, 66, 79, 91</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -73, -28, 96, -22, 56, 66, -92, -33, 75, -86.

output:
<think>
Initial list: [-73, -28, 96, -22, 56, 66, -92, -33, 75, -86]

Pass 1:
  Compare -73 and -28
  No swap needed
  Compare -28 and 96
  No swap needed
  Compare 96 and -22
  Swap 96 and -22
  List after swap: [-73, -28, -22, 96, 56, 66, -92, -33, 75, -86]
  Compare 96 and 56
  Swap 96 and 56
  List after swap: [-73, -28, -22, 56, 96, 66, -92, -33, 75, -86]
  Compare 96 and 66
  Swap 96 and 66
  List after swap: [-73, -28, -22, 56, 66, 96, -92, -33, 75, -86]
  Compare 96 and -92
  Swap 96 and -92
  List after swap: [-73, -28, -22, 56, 66, -92, 96, -33, 75, -86]
  Compare 96 and -33
  Swap 96 and -33
  List after swap: [-73, -28, -22, 56, 66, -92, -33, 96, 75, -86]
  Compare 96 and 75
  Swap 96 and 75
  List after swap: [-73, -28, -22, 56, 66, -92, -33, 75, 96, -86]
  Compare 96 and -86
  Swap 96 and -86
  List after swap: [-73, -28, -22, 56, 66, -92, -33, 75, -86, 96]

Pass 2:
  Compare -73 and -28
  No swap needed
  Compare -28 and -22
  No swap needed
  Compare -22 and 56
  No swap needed
  Compare 56 and 66
  No swap needed
  Compare 66 and -92
  Swap 66 and -92
  List after swap: [-73, -28, -22, 56, -92, 66, -33, 75, -86, 96]
  Compare 66 and -33
  Swap 66 and -33
  List after swap: [-73, -28, -22, 56, -92, -33, 66, 75, -86, 96]
  Compare 66 and 75
  No swap needed
  Compare 75 and -86
  Swap 75 and -86
  List after swap: [-73, -28, -22, 56, -92, -33, 66, -86, 75, 96]

Pass 3:
  Compare -73 and -28
  No swap needed
  Compare -28 and -22
  No swap needed
  Compare -22 and 56
  No swap needed
  Compare 56 and -92
  Swap 56 and -92
  List after swap: [-73, -28, -22, -92, 56, -33, 66, -86, 75, 96]
  Compare 56 and -33
  Swap 56 and -33
  List after swap: [-73, -28, -22, -92, -33, 56, 66, -86, 75, 96]
  Compare 56 and 66
  No swap needed
  Compare 66 and -86
  Swap 66 and -86
  List after swap: [-73, -28, -22, -92, -33, 56, -86, 66, 75, 96]

Pass 4:
  Compare -73 and -28
  No swap needed
  Compare -28 and -22
  No swap needed
  Compare -22 and -92
  Swap -22 and -92
  List after swap: [-73, -28, -92, -22, -33, 56, -86, 66, 75, 96]
  Compare -22 and -33
  Swap -22 and -33
  List after swap: [-73, -28, -92, -33, -22, 56, -86, 66, 75, 96]
  Compare -22 and 56
  No swap needed
  Compare 56 and -86
  Swap 56 and -86
  List after swap: [-73, -28, -92, -33, -22, -86, 56, 66, 75, 96]

Pass 5:
  Compare -73 and -28
  No swap needed
  Compare -28 and -92
  Swap -28 and -92
  List after swap: [-73, -92, -28, -33, -22, -86, 56, 66, 75, 96]
  Compare -28 and -33
  Swap -28 and -33
  List after swap: [-73, -92, -33, -28, -22, -86, 56, 66, 75, 96]
  Compare -28 and -22
  No swap needed
  Compare -22 and -86
  Swap -22 and -86
  List after swap: [-73, -92, -33, -28, -86, -22, 56, 66, 75, 96]

Pass 6:
  Compare -73 and -92
  Swap -73 and -92
  List after swap: [-92, -73, -33, -28, -86, -22, 56, 66, 75, 96]
  Compare -73 and -33
  No swap needed
  Compare -33 and -28
  No swap needed
  Compare -28 and -86
  Swap -28 and -86
  List after swap: [-92, -73, -33, -86, -28, -22, 56, 66, 75, 96]

Pass 7:
  Compare -92 and -73
  No swap needed
  Compare -73 and -33
  No swap needed
  Compare -33 and -86
  Swap -33 and -86
  List after swap: [-92, -73, -86, -33, -28, -22, 56, 66, 75, 96]

Pass 8:
  Compare -92 and -73
  No swap needed
  Compare -73 and -86
  Swap -73 and -86
  List after swap: [-92, -86, -73, -33, -28, -22, 56, 66, 75, 96]

Pass 9:
  Compare -92 and -86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -86, -73, -33, -28, -22, 56, 66, 75, 96]
</think>

<response>-92, -86, -73, -33, -28, -22, 56, 66, 75, 96</response>


input: Implement bubble sort on 36, -60, 91, 56 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [36, -60, 91, 56]

Pass 1:
  Compare 36 and -60
  Swap 36 and -60
  List after swap: [-60, 36, 91, 56]
  Compare 36 and 91
  No swap needed
  Compare 91 and 56
  Swap 91 and 56
  List after swap: [-60, 36, 56, 91]

Pass 2:
  Compare -60 and 36
  No swap needed
  Compare 36 and 56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, 36, 56, 91]
</think>

<response>-60, 36, 56, 91</response>


input: Use the bubble sort technique to reorder -99, 90, -48, -28, 26, -75, 45, -4, -84, 31 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-99, 90, -48, -28, 26, -75, 45, -4, -84, 31]

Pass 1:
  Compare -99 and 90
  No swap needed
  Compare 90 and -48
  Swap 90 and -48
  List after swap: [-99, -48, 90, -28, 26, -75, 45, -4, -84, 31]
  Compare 90 and -28
  Swap 90 and -28
  List after swap: [-99, -48, -28, 90, 26, -75, 45, -4, -84, 31]
  Compare 90 and 26
  Swap 90 and 26
  List after swap: [-99, -48, -28, 26, 90, -75, 45, -4, -84, 31]
  Compare 90 and -75
  Swap 90 and -75
  List after swap: [-99, -48, -28, 26, -75, 90, 45, -4, -84, 31]
  Compare 90 and 45
  Swap 90 and 45
  List after swap: [-99, -48, -28, 26, -75, 45, 90, -4, -84, 31]
  Compare 90 and -4
  Swap 90 and -4
  List after swap: [-99, -48, -28, 26, -75, 45, -4, 90, -84, 31]
  Compare 90 and -84
  Swap 90 and -84
  List after swap: [-99, -48, -28, 26, -75, 45, -4, -84, 90, 31]
  Compare 90 and 31
  Swap 90 and 31
  List after swap: [-99, -48, -28, 26, -75, 45, -4, -84, 31, 90]

Pass 2:
  Compare -99 and -48
  No swap needed
  Compare -48 and -28
  No swap needed
  Compare -28 and 26
  No swap needed
  Compare 26 and -75
  Swap 26 and -75
  List after swap: [-99, -48, -28, -75, 26, 45, -4, -84, 31, 90]
  Compare 26 and 45
  No swap needed
  Compare 45 and -4
  Swap 45 and -4
  List after swap: [-99, -48, -28, -75, 26, -4, 45, -84, 31, 90]
  Compare 45 and -84
  Swap 45 and -84
  List after swap: [-99, -48, -28, -75, 26, -4, -84, 45, 31, 90]
  Compare 45 and 31
  Swap 45 and 31
  List after swap: [-99, -48, -28, -75, 26, -4, -84, 31, 45, 90]

Pass 3:
  Compare -99 and -48
  No swap needed
  Compare -48 and -28
  No swap needed
  Compare -28 and -75
  Swap -28 and -75
  List after swap: [-99, -48, -75, -28, 26, -4, -84, 31, 45, 90]
  Compare -28 and 26
  No swap needed
  Compare 26 and -4
  Swap 26 and -4
  List after swap: [-99, -48, -75, -28, -4, 26, -84, 31, 45, 90]
  Compare 26 and -84
  Swap 26 and -84
  List after swap: [-99, -48, -75, -28, -4, -84, 26, 31, 45, 90]
  Compare 26 and 31
  No swap needed

Pass 4:
  Compare -99 and -48
  No swap needed
  Compare -48 and -75
  Swap -48 and -75
  List after swap: [-99, -75, -48, -28, -4, -84, 26, 31, 45, 90]
  Compare -48 and -28
  No swap needed
  Compare -28 and -4
  No swap needed
  Compare -4 and -84
  Swap -4 and -84
  List after swap: [-99, -75, -48, -28, -84, -4, 26, 31, 45, 90]
  Compare -4 and 26
  No swap needed

Pass 5:
  Compare -99 and -75
  No swap needed
  Compare -75 and -48
  No swap needed
  Compare -48 and -28
  No swap needed
  Compare -28 and -84
  Swap -28 and -84
  List after swap: [-99, -75, -48, -84, -28, -4, 26, 31, 45, 90]
  Compare -28 and -4
  No swap needed

Pass 6:
  Compare -99 and -75
  No swap needed
  Compare -75 and -48
  No swap needed
  Compare -48 and -84
  Swap -48 and -84
  List after swap: [-99, -75, -84, -48, -28, -4, 26, 31, 45, 90]
  Compare -48 and -28
  No swap needed

Pass 7:
  Compare -99 and -75
  No swap needed
  Compare -75 and -84
  Swap -75 and -84
  List after swap: [-99, -84, -75, -48, -28, -4, 26, 31, 45, 90]
  Compare -75 and -48
  No swap needed

Pass 8:
  Compare -99 and -84
  No swap needed
  Compare -84 and -75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -84, -75, -48, -28, -4, 26, 31, 45, 90]
</think>

<response>-99, -84, -75, -48, -28, -4, 26, 31, 45, 90</response>


input: Implement bubble sort on 96, 0, -2, 81, 7, -16 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [96, 0, -2, 81, 7, -16]

Pass 1:
  Compare 96 and 0
  Swap 96 and 0
  List after swap: [0, 96, -2, 81, 7, -16]
  Compare 96 and -2
  Swap 96 and -2
  List after swap: [0, -2, 96, 81, 7, -16]
  Compare 96 and 81
  Swap 96 and 81
  List after swap: [0, -2, 81, 96, 7, -16]
  Compare 96 and 7
  Swap 96 and 7
  List after swap: [0, -2, 81, 7, 96, -16]
  Compare 96 and -16
  Swap 96 and -16
  List after swap: [0, -2, 81, 7, -16, 96]

Pass 2:
  Compare 0 and -2
  Swap 0 and -2
  List after swap: [-2, 0, 81, 7, -16, 96]
  Compare 0 and 81
  No swap needed
  Compare 81 and 7
  Swap 81 and 7
  List after swap: [-2, 0, 7, 81, -16, 96]
  Compare 81 and -16
  Swap 81 and -16
  List after swap: [-2, 0, 7, -16, 81, 96]

Pass 3:
  Compare -2 and 0
  No swap needed
  Compare 0 and 7
  No swap needed
  Compare 7 and -16
  Swap 7 and -16
  List after swap: [-2, 0, -16, 7, 81, 96]

Pass 4:
  Compare -2 and 0
  No swap needed
  Compare 0 and -16
  Swap 0 and -16
  List after swap: [-2, -16, 0, 7, 81, 96]

Pass 5:
  Compare -2 and -16
  Swap -2 and -16
  List after swap: [-16, -2, 0, 7, 81, 96]

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

Final sorted list: [-16, -2, 0, 7, 81, 96]
</think>

<response>-16, -2, 0, 7, 81, 96</response>


input: Sort the list 77, 69, -54, -76, -16, 50, -42 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [77, 69, -54, -76, -16, 50, -42]

Pass 1:
  Compare 77 and 69
  Swap 77 and 69
  List after swap: [69, 77, -54, -76, -16, 50, -42]
  Compare 77 and -54
  Swap 77 and -54
  List after swap: [69, -54, 77, -76, -16, 50, -42]
  Compare 77 and -76
  Swap 77 and -76
  List after swap: [69, -54, -76, 77, -16, 50, -42]
  Compare 77 and -16
  Swap 77 and -16
  List after swap: [69, -54, -76, -16, 77, 50, -42]
  Compare 77 and 50
  Swap 77 and 50
  List after swap: [69, -54, -76, -16, 50, 77, -42]
  Compare 77 and -42
  Swap 77 and -42
  List after swap: [69, -54, -76, -16, 50, -42, 77]

Pass 2:
  Compare 69 and -54
  Swap 69 and -54
  List after swap: [-54, 69, -76, -16, 50, -42, 77]
  Compare 69 and -76
  Swap 69 and -76
  List after swap: [-54, -76, 69, -16, 50, -42, 77]
  Compare 69 and -16
  Swap 69 and -16
  List after swap: [-54, -76, -16, 69, 50, -42, 77]
  Compare 69 and 50
  Swap 69 and 50
  List after swap: [-54, -76, -16, 50, 69, -42, 77]
  Compare 69 and -42
  Swap 69 and -42
  List after swap: [-54, -76, -16, 50, -42, 69, 77]

Pass 3:
  Compare -54 and -76
  Swap -54 and -76
  List after swap: [-76, -54, -16, 50, -42, 69, 77]
  Compare -54 and -16
  No swap needed
  Compare -16 and 50
  No swap needed
  Compare 50 and -42
  Swap 50 and -42
  List after swap: [-76, -54, -16, -42, 50, 69, 77]

Pass 4:
  Compare -76 and -54
  No swap needed
  Compare -54 and -16
  No swap needed
  Compare -16 and -42
  Swap -16 and -42
  List after swap: [-76, -54, -42, -16, 50, 69, 77]

Pass 5:
  Compare -76 and -54
  No swap needed
  Compare -54 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -54, -42, -16, 50, 69, 77]
</think>

<response>-76, -54, -42, -16, 50, 69, 77</response>


input: Using the bubble sort method, sort 67, -97, 38, 75 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [67, -97, 38, 75]

Pass 1:
  Compare 67 and -97
  Swap 67 and -97
  List after swap: [-97, 67, 38, 75]
  Compare 67 and 38
  Swap 67 and 38
  List after swap: [-97, 38, 67, 75]
  Compare 67 and 75
  No swap needed

Pass 2:
  Compare -97 and 38
  No swap needed
  Compare 38 and 67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, 38, 67, 75]
</think>

<response>-97, 38, 67, 75</response>


input: Demonstrate how bubble sort orders the integers -5, 72, 94 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-5, 72, 94]

Pass 1:
  Compare -5 and 72
  No swap needed
  Compare 72 and 94
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-5, 72, 94]
</think>

<response>-5, 72, 94</response>


input: Implement bubble sort on -13, 54, -26, -90, 15, -17, 47, 92, -51 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-13, 54, -26, -90, 15, -17, 47, 92, -51]

Pass 1:
  Compare -13 and 54
  No swap needed
  Compare 54 and -26
  Swap 54 and -26
  List after swap: [-13, -26, 54, -90, 15, -17, 47, 92, -51]
  Compare 54 and -90
  Swap 54 and -90
  List after swap: [-13, -26, -90, 54, 15, -17, 47, 92, -51]
  Compare 54 and 15
  Swap 54 and 15
  List after swap: [-13, -26, -90, 15, 54, -17, 47, 92, -51]
  Compare 54 and -17
  Swap 54 and -17
  List after swap: [-13, -26, -90, 15, -17, 54, 47, 92, -51]
  Compare 54 and 47
  Swap 54 and 47
  List after swap: [-13, -26, -90, 15, -17, 47, 54, 92, -51]
  Compare 54 and 92
  No swap needed
  Compare 92 and -51
  Swap 92 and -51
  List after swap: [-13, -26, -90, 15, -17, 47, 54, -51, 92]

Pass 2:
  Compare -13 and -26
  Swap -13 and -26
  List after swap: [-26, -13, -90, 15, -17, 47, 54, -51, 92]
  Compare -13 and -90
  Swap -13 and -90
  List after swap: [-26, -90, -13, 15, -17, 47, 54, -51, 92]
  Compare -13 and 15
  No swap needed
  Compare 15 and -17
  Swap 15 and -17
  List after swap: [-26, -90, -13, -17, 15, 47, 54, -51, 92]
  Compare 15 and 47
  No swap needed
  Compare 47 and 54
  No swap needed
  Compare 54 and -51
  Swap 54 and -51
  List after swap: [-26, -90, -13, -17, 15, 47, -51, 54, 92]

Pass 3:
  Compare -26 and -90
  Swap -26 and -90
  List after swap: [-90, -26, -13, -17, 15, 47, -51, 54, 92]
  Compare -26 and -13
  No swap needed
  Compare -13 and -17
  Swap -13 and -17
  List after swap: [-90, -26, -17, -13, 15, 47, -51, 54, 92]
  Compare -13 and 15
  No swap needed
  Compare 15 and 47
  No swap needed
  Compare 47 and -51
  Swap 47 and -51
  List after swap: [-90, -26, -17, -13, 15, -51, 47, 54, 92]

Pass 4:
  Compare -90 and -26
  No swap needed
  Compare -26 and -17
  No swap needed
  Compare -17 and -13
  No swap needed
  Compare -13 and 15
  No swap needed
  Compare 15 and -51
  Swap 15 and -51
  List after swap: [-90, -26, -17, -13, -51, 15, 47, 54, 92]

Pass 5:
  Compare -90 and -26
  No swap needed
  Compare -26 and -17
  No swap needed
  Compare -17 and -13
  No swap needed
  Compare -13 and -51
  Swap -13 and -51
  List after swap: [-90, -26, -17, -51, -13, 15, 47, 54, 92]

Pass 6:
  Compare -90 and -26
  No swap needed
  Compare -26 and -17
  No swap needed
  Compare -17 and -51
  Swap -17 and -51
  List after swap: [-90, -26, -51, -17, -13, 15, 47, 54, 92]

Pass 7:
  Compare -90 and -26
  No swap needed
  Compare -26 and -51
  Swap -26 and -51
  List after swap: [-90, -51, -26, -17, -13, 15, 47, 54, 92]

Pass 8:
  Compare -90 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -51, -26, -17, -13, 15, 47, 54, 92]
</think>

<response>-90, -51, -26, -17, -13, 15, 47, 54, 92</response>


input: Execute bubble sort to sort 47, 30, -96, 14, 80 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [47, 30, -96, 14, 80]

Pass 1:
  Compare 47 and 30
  Swap 47 and 30
  List after swap: [30, 47, -96, 14, 80]
  Compare 47 and -96
  Swap 47 and -96
  List after swap: [30, -96, 47, 14, 80]
  Compare 47 and 14
  Swap 47 and 14
  List after swap: [30, -96, 14, 47, 80]
  Compare 47 and 80
  No swap needed

Pass 2:
  Compare 30 and -96
  Swap 30 and -96
  List after swap: [-96, 30, 14, 47, 80]
  Compare 30 and 14
  Swap 30 and 14
  List after swap: [-96, 14, 30, 47, 80]
  Compare 30 and 47
  No swap needed

Pass 3:
  Compare -96 and 14
  No swap needed
  Compare 14 and 30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, 14, 30, 47, 80]
</think>

<response>-96, 14, 30, 47, 80</response>


input: Execute bubble sort to sort 92, -7, -51, -77, 61 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [92, -7, -51, -77, 61]

Pass 1:
  Compare 92 and -7
  Swap 92 and -7
  List after swap: [-7, 92, -51, -77, 61]
  Compare 92 and -51
  Swap 92 and -51
  List after swap: [-7, -51, 92, -77, 61]
  Compare 92 and -77
  Swap 92 and -77
  List after swap: [-7, -51, -77, 92, 61]
  Compare 92 and 61
  Swap 92 and 61
  List after swap: [-7, -51, -77, 61, 92]

Pass 2:
  Compare -7 and -51
  Swap -7 and -51
  List after swap: [-51, -7, -77, 61, 92]
  Compare -7 and -77
  Swap -7 and -77
  List after swap: [-51, -77, -7, 61, 92]
  Compare -7 and 61
  No swap needed

Pass 3:
  Compare -51 and -77
  Swap -51 and -77
  List after swap: [-77, -51, -7, 61, 92]
  Compare -51 and -7
  No swap needed

Pass 4:
  Compare -77 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -51, -7, 61, 92]
</think>

<response>-77, -51, -7, 61, 92</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -60, 22, -18, 79, -44, -10, -66, -35.

output:
<think>
Initial list: [-60, 22, -18, 79, -44, -10, -66, -35]

Pass 1:
  Compare -60 and 22
  No swap needed
  Compare 22 and -18
  Swap 22 and -18
  List after swap: [-60, -18, 22, 79, -44, -10, -66, -35]
  Compare 22 and 79
  No swap needed
  Compare 79 and -44
  Swap 79 and -44
  List after swap: [-60, -18, 22, -44, 79, -10, -66, -35]
  Compare 79 and -10
  Swap 79 and -10
  List after swap: [-60, -18, 22, -44, -10, 79, -66, -35]
  Compare 79 and -66
  Swap 79 and -66
  List after swap: [-60, -18, 22, -44, -10, -66, 79, -35]
  Compare 79 and -35
  Swap 79 and -35
  List after swap: [-60, -18, 22, -44, -10, -66, -35, 79]

Pass 2:
  Compare -60 and -18
  No swap needed
  Compare -18 and 22
  No swap needed
  Compare 22 and -44
  Swap 22 and -44
  List after swap: [-60, -18, -44, 22, -10, -66, -35, 79]
  Compare 22 and -10
  Swap 22 and -10
  List after swap: [-60, -18, -44, -10, 22, -66, -35, 79]
  Compare 22 and -66
  Swap 22 and -66
  List after swap: [-60, -18, -44, -10, -66, 22, -35, 79]
  Compare 22 and -35
  Swap 22 and -35
  List after swap: [-60, -18, -44, -10, -66, -35, 22, 79]

Pass 3:
  Compare -60 and -18
  No swap needed
  Compare -18 and -44
  Swap -18 and -44
  List after swap: [-60, -44, -18, -10, -66, -35, 22, 79]
  Compare -18 and -10
  No swap needed
  Compare -10 and -66
  Swap -10 and -66
  List after swap: [-60, -44, -18, -66, -10, -35, 22, 79]
  Compare -10 and -35
  Swap -10 and -35
  List after swap: [-60, -44, -18, -66, -35, -10, 22, 79]

Pass 4:
  Compare -60 and -44
  No swap needed
  Compare -44 and -18
  No swap needed
  Compare -18 and -66
  Swap -18 and -66
  List after swap: [-60, -44, -66, -18, -35, -10, 22, 79]
  Compare -18 and -35
  Swap -18 and -35
  List after swap: [-60, -44, -66, -35, -18, -10, 22, 79]

Pass 5:
  Compare -60 and -44
  No swap needed
  Compare -44 and -66
  Swap -44 and -66
  List after swap: [-60, -66, -44, -35, -18, -10, 22, 79]
  Compare -44 and -35
  No swap needed

Pass 6:
  Compare -60 and -66
  Swap -60 and -66
  List after swap: [-66, -60, -44, -35, -18, -10, 22, 79]
  Compare -60 and -44
  No swap needed

Pass 7:
  Compare -66 and -60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -60, -44, -35, -18, -10, 22, 79]
</think>

<response>-66, -60, -44, -35, -18, -10, 22, 79</response>


input: Using the bubble sort method, sort 29, -16, -50, 78, -58, 51 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [29, -16, -50, 78, -58, 51]

Pass 1:
  Compare 29 and -16
  Swap 29 and -16
  List after swap: [-16, 29, -50, 78, -58, 51]
  Compare 29 and -50
  Swap 29 and -50
  List after swap: [-16, -50, 29, 78, -58, 51]
  Compare 29 and 78
  No swap needed
  Compare 78 and -58
  Swap 78 and -58
  List after swap: [-16, -50, 29, -58, 78, 51]
  Compare 78 and 51
  Swap 78 and 51
  List after swap: [-16, -50, 29, -58, 51, 78]

Pass 2:
  Compare -16 and -50
  Swap -16 and -50
  List after swap: [-50, -16, 29, -58, 51, 78]
  Compare -16 and 29
  No swap needed
  Compare 29 and -58
  Swap 29 and -58
  List after swap: [-50, -16, -58, 29, 51, 78]
  Compare 29 and 51
  No swap needed

Pass 3:
  Compare -50 and -16
  No swap needed
  Compare -16 and -58
  Swap -16 and -58
  List after swap: [-50, -58, -16, 29, 51, 78]
  Compare -16 and 29
  No swap needed

Pass 4:
  Compare -50 and -58
  Swap -50 and -58
  List after swap: [-58, -50, -16, 29, 51, 78]
  Compare -50 and -16
  No swap needed

Pass 5:
  Compare -58 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -50, -16, 29, 51, 78]
</think>

<response>-58, -50, -16, 29, 51, 78</response>


input: Carry out the bubble sort algorithm on 70, -95, -45, 58 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [70, -95, -45, 58]

Pass 1:
  Compare 70 and -95
  Swap 70 and -95
  List after swap: [-95, 70, -45, 58]
  Compare 70 and -45
  Swap 70 and -45
  List after swap: [-95, -45, 70, 58]
  Compare 70 and 58
  Swap 70 and 58
  List after swap: [-95, -45, 58, 70]

Pass 2:
  Compare -95 and -45
  No swap needed
  Compare -45 and 58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -45, 58, 70]
</think>

<response>-95, -45, 58, 70</response>


input: Sort the list -83, -31, -11, -65, 7, -39, -37, -12, -79 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-83, -31, -11, -65, 7, -39, -37, -12, -79]

Pass 1:
  Compare -83 and -31
  No swap needed
  Compare -31 and -11
  No swap needed
  Compare -11 and -65
  Swap -11 and -65
  List after swap: [-83, -31, -65, -11, 7, -39, -37, -12, -79]
  Compare -11 and 7
  No swap needed
  Compare 7 and -39
  Swap 7 and -39
  List after swap: [-83, -31, -65, -11, -39, 7, -37, -12, -79]
  Compare 7 and -37
  Swap 7 and -37
  List after swap: [-83, -31, -65, -11, -39, -37, 7, -12, -79]
  Compare 7 and -12
  Swap 7 and -12
  List after swap: [-83, -31, -65, -11, -39, -37, -12, 7, -79]
  Compare 7 and -79
  Swap 7 and -79
  List after swap: [-83, -31, -65, -11, -39, -37, -12, -79, 7]

Pass 2:
  Compare -83 and -31
  No swap needed
  Compare -31 and -65
  Swap -31 and -65
  List after swap: [-83, -65, -31, -11, -39, -37, -12, -79, 7]
  Compare -31 and -11
  No swap needed
  Compare -11 and -39
  Swap -11 and -39
  List after swap: [-83, -65, -31, -39, -11, -37, -12, -79, 7]
  Compare -11 and -37
  Swap -11 and -37
  List after swap: [-83, -65, -31, -39, -37, -11, -12, -79, 7]
  Compare -11 and -12
  Swap -11 and -12
  List after swap: [-83, -65, -31, -39, -37, -12, -11, -79, 7]
  Compare -11 and -79
  Swap -11 and -79
  List after swap: [-83, -65, -31, -39, -37, -12, -79, -11, 7]

Pass 3:
  Compare -83 and -65
  No swap needed
  Compare -65 and -31
  No swap needed
  Compare -31 and -39
  Swap -31 and -39
  List after swap: [-83, -65, -39, -31, -37, -12, -79, -11, 7]
  Compare -31 and -37
  Swap -31 and -37
  List after swap: [-83, -65, -39, -37, -31, -12, -79, -11, 7]
  Compare -31 and -12
  No swap needed
  Compare -12 and -79
  Swap -12 and -79
  List after swap: [-83, -65, -39, -37, -31, -79, -12, -11, 7]

Pass 4:
  Compare -83 and -65
  No swap needed
  Compare -65 and -39
  No swap needed
  Compare -39 and -37
  No swap needed
  Compare -37 and -31
  No swap needed
  Compare -31 and -79
  Swap -31 and -79
  List after swap: [-83, -65, -39, -37, -79, -31, -12, -11, 7]

Pass 5:
  Compare -83 and -65
  No swap needed
  Compare -65 and -39
  No swap needed
  Compare -39 and -37
  No swap needed
  Compare -37 and -79
  Swap -37 and -79
  List after swap: [-83, -65, -39, -79, -37, -31, -12, -11, 7]

Pass 6:
  Compare -83 and -65
  No swap needed
  Compare -65 and -39
  No swap needed
  Compare -39 and -79
  Swap -39 and -79
  List after swap: [-83, -65, -79, -39, -37, -31, -12, -11, 7]

Pass 7:
  Compare -83 and -65
  No swap needed
  Compare -65 and -79
  Swap -65 and -79
  List after swap: [-83, -79, -65, -39, -37, -31, -12, -11, 7]

Pass 8:
  Compare -83 and -79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -79, -65, -39, -37, -31, -12, -11, 7]
</think>

<response>-83, -79, -65, -39, -37, -31, -12, -11, 7</response>


input: Sort these integers 58, 44, 19, 93, -95, -56, -68, -87, -60 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [58, 44, 19, 93, -95, -56, -68, -87, -60]

Pass 1:
  Compare 58 and 44
  Swap 58 and 44
  List after swap: [44, 58, 19, 93, -95, -56, -68, -87, -60]
  Compare 58 and 19
  Swap 58 and 19
  List after swap: [44, 19, 58, 93, -95, -56, -68, -87, -60]
  Compare 58 and 93
  No swap needed
  Compare 93 and -95
  Swap 93 and -95
  List after swap: [44, 19, 58, -95, 93, -56, -68, -87, -60]
  Compare 93 and -56
  Swap 93 and -56
  List after swap: [44, 19, 58, -95, -56, 93, -68, -87, -60]
  Compare 93 and -68
  Swap 93 and -68
  List after swap: [44, 19, 58, -95, -56, -68, 93, -87, -60]
  Compare 93 and -87
  Swap 93 and -87
  List after swap: [44, 19, 58, -95, -56, -68, -87, 93, -60]
  Compare 93 and -60
  Swap 93 and -60
  List after swap: [44, 19, 58, -95, -56, -68, -87, -60, 93]

Pass 2:
  Compare 44 and 19
  Swap 44 and 19
  List after swap: [19, 44, 58, -95, -56, -68, -87, -60, 93]
  Compare 44 and 58
  No swap needed
  Compare 58 and -95
  Swap 58 and -95
  List after swap: [19, 44, -95, 58, -56, -68, -87, -60, 93]
  Compare 58 and -56
  Swap 58 and -56
  List after swap: [19, 44, -95, -56, 58, -68, -87, -60, 93]
  Compare 58 and -68
  Swap 58 and -68
  List after swap: [19, 44, -95, -56, -68, 58, -87, -60, 93]
  Compare 58 and -87
  Swap 58 and -87
  List after swap: [19, 44, -95, -56, -68, -87, 58, -60, 93]
  Compare 58 and -60
  Swap 58 and -60
  List after swap: [19, 44, -95, -56, -68, -87, -60, 58, 93]

Pass 3:
  Compare 19 and 44
  No swap needed
  Compare 44 and -95
  Swap 44 and -95
  List after swap: [19, -95, 44, -56, -68, -87, -60, 58, 93]
  Compare 44 and -56
  Swap 44 and -56
  List after swap: [19, -95, -56, 44, -68, -87, -60, 58, 93]
  Compare 44 and -68
  Swap 44 and -68
  List after swap: [19, -95, -56, -68, 44, -87, -60, 58, 93]
  Compare 44 and -87
  Swap 44 and -87
  List after swap: [19, -95, -56, -68, -87, 44, -60, 58, 93]
  Compare 44 and -60
  Swap 44 and -60
  List after swap: [19, -95, -56, -68, -87, -60, 44, 58, 93]

Pass 4:
  Compare 19 and -95
  Swap 19 and -95
  List after swap: [-95, 19, -56, -68, -87, -60, 44, 58, 93]
  Compare 19 and -56
  Swap 19 and -56
  List after swap: [-95, -56, 19, -68, -87, -60, 44, 58, 93]
  Compare 19 and -68
  Swap 19 and -68
  List after swap: [-95, -56, -68, 19, -87, -60, 44, 58, 93]
  Compare 19 and -87
  Swap 19 and -87
  List after swap: [-95, -56, -68, -87, 19, -60, 44, 58, 93]
  Compare 19 and -60
  Swap 19 and -60
  List after swap: [-95, -56, -68, -87, -60, 19, 44, 58, 93]

Pass 5:
  Compare -95 and -56
  No swap needed
  Compare -56 and -68
  Swap -56 and -68
  List after swap: [-95, -68, -56, -87, -60, 19, 44, 58, 93]
  Compare -56 and -87
  Swap -56 and -87
  List after swap: [-95, -68, -87, -56, -60, 19, 44, 58, 93]
  Compare -56 and -60
  Swap -56 and -60
  List after swap: [-95, -68, -87, -60, -56, 19, 44, 58, 93]

Pass 6:
  Compare -95 and -68
  No swap needed
  Compare -68 and -87
  Swap -68 and -87
  List after swap: [-95, -87, -68, -60, -56, 19, 44, 58, 93]
  Compare -68 and -60
  No swap needed

Pass 7:
  Compare -95 and -87
  No swap needed
  Compare -87 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -87, -68, -60, -56, 19, 44, 58, 93]
</think>

<response>-95, -87, -68, -60, -56, 19, 44, 58, 93</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 62, -92, 43.

output:
<think>
Initial list: [62, -92, 43]

Pass 1:
  Compare 62 and -92
  Swap 62 and -92
  List after swap: [-92, 62, 43]
  Compare 62 and 43
  Swap 62 and 43
  List after swap: [-92, 43, 62]

Pass 2:
  Compare -92 and 43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, 43, 62]
</think>

<response>-92, 43, 62</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 0, 12, 11, 85, 73, -100, -71, 84, -97.

output:
<think>
Initial list: [0, 12, 11, 85, 73, -100, -71, 84, -97]

Pass 1:
  Compare 0 and 12
  No swap needed
  Compare 12 and 11
  Swap 12 and 11
  List after swap: [0, 11, 12, 85, 73, -100, -71, 84, -97]
  Compare 12 and 85
  No swap needed
  Compare 85 and 73
  Swap 85 and 73
  List after swap: [0, 11, 12, 73, 85, -100, -71, 84, -97]
  Compare 85 and -100
  Swap 85 and -100
  List after swap: [0, 11, 12, 73, -100, 85, -71, 84, -97]
  Compare 85 and -71
  Swap 85 and -71
  List after swap: [0, 11, 12, 73, -100, -71, 85, 84, -97]
  Compare 85 and 84
  Swap 85 and 84
  List after swap: [0, 11, 12, 73, -100, -71, 84, 85, -97]
  Compare 85 and -97
  Swap 85 and -97
  List after swap: [0, 11, 12, 73, -100, -71, 84, -97, 85]

Pass 2:
  Compare 0 and 11
  No swap needed
  Compare 11 and 12
  No swap needed
  Compare 12 and 73
  No swap needed
  Compare 73 and -100
  Swap 73 and -100
  List after swap: [0, 11, 12, -100, 73, -71, 84, -97, 85]
  Compare 73 and -71
  Swap 73 and -71
  List after swap: [0, 11, 12, -100, -71, 73, 84, -97, 85]
  Compare 73 and 84
  No swap needed
  Compare 84 and -97
  Swap 84 and -97
  List after swap: [0, 11, 12, -100, -71, 73, -97, 84, 85]

Pass 3:
  Compare 0 and 11
  No swap needed
  Compare 11 and 12
  No swap needed
  Compare 12 and -100
  Swap 12 and -100
  List after swap: [0, 11, -100, 12, -71, 73, -97, 84, 85]
  Compare 12 and -71
  Swap 12 and -71
  List after swap: [0, 11, -100, -71, 12, 73, -97, 84, 85]
  Compare 12 and 73
  No swap needed
  Compare 73 and -97
  Swap 73 and -97
  List after swap: [0, 11, -100, -71, 12, -97, 73, 84, 85]

Pass 4:
  Compare 0 and 11
  No swap needed
  Compare 11 and -100
  Swap 11 and -100
  List after swap: [0, -100, 11, -71, 12, -97, 73, 84, 85]
  Compare 11 and -71
  Swap 11 and -71
  List after swap: [0, -100, -71, 11, 12, -97, 73, 84, 85]
  Compare 11 and 12
  No swap needed
  Compare 12 and -97
  Swap 12 and -97
  List after swap: [0, -100, -71, 11, -97, 12, 73, 84, 85]

Pass 5:
  Compare 0 and -100
  Swap 0 and -100
  List after swap: [-100, 0, -71, 11, -97, 12, 73, 84, 85]
  Compare 0 and -71
  Swap 0 and -71
  List after swap: [-100, -71, 0, 11, -97, 12, 73, 84, 85]
  Compare 0 and 11
  No swap needed
  Compare 11 and -97
  Swap 11 and -97
  List after swap: [-100, -71, 0, -97, 11, 12, 73, 84, 85]

Pass 6:
  Compare -100 and -71
  No swap needed
  Compare -71 and 0
  No swap needed
  Compare 0 and -97
  Swap 0 and -97
  List after swap: [-100, -71, -97, 0, 11, 12, 73, 84, 85]

Pass 7:
  Compare -100 and -71
  No swap needed
  Compare -71 and -97
  Swap -71 and -97
  List after swap: [-100, -97, -71, 0, 11, 12, 73, 84, 85]

Pass 8:
  Compare -100 and -97
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -97, -71, 0, 11, 12, 73, 84, 85]
</think>

<response>-100, -97, -71, 0, 11, 12, 73, 84, 85</response>


input: Sort the list 95, 61, -26, 55, -39, 36 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [95, 61, -26, 55, -39, 36]

Pass 1:
  Compare 95 and 61
  Swap 95 and 61
  List after swap: [61, 95, -26, 55, -39, 36]
  Compare 95 and -26
  Swap 95 and -26
  List after swap: [61, -26, 95, 55, -39, 36]
  Compare 95 and 55
  Swap 95 and 55
  List after swap: [61, -26, 55, 95, -39, 36]
  Compare 95 and -39
  Swap 95 and -39
  List after swap: [61, -26, 55, -39, 95, 36]
  Compare 95 and 36
  Swap 95 and 36
  List after swap: [61, -26, 55, -39, 36, 95]

Pass 2:
  Compare 61 and -26
  Swap 61 and -26
  List after swap: [-26, 61, 55, -39, 36, 95]
  Compare 61 and 55
  Swap 61 and 55
  List after swap: [-26, 55, 61, -39, 36, 95]
  Compare 61 and -39
  Swap 61 and -39
  List after swap: [-26, 55, -39, 61, 36, 95]
  Compare 61 and 36
  Swap 61 and 36
  List after swap: [-26, 55, -39, 36, 61, 95]

Pass 3:
  Compare -26 and 55
  No swap needed
  Compare 55 and -39
  Swap 55 and -39
  List after swap: [-26, -39, 55, 36, 61, 95]
  Compare 55 and 36
  Swap 55 and 36
  List after swap: [-26, -39, 36, 55, 61, 95]

Pass 4:
  Compare -26 and -39
  Swap -26 and -39
  List after swap: [-39, -26, 36, 55, 61, 95]
  Compare -26 and 36
  No swap needed

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

Final sorted list: [-39, -26, 36, 55, 61, 95]
</think>

<response>-39, -26, 36, 55, 61, 95</response>


input: Use the bubble sort technique to reorder -9, -56, -16, 14, -66, -77, -64, -81 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-9, -56, -16, 14, -66, -77, -64, -81]

Pass 1:
  Compare -9 and -56
  Swap -9 and -56
  List after swap: [-56, -9, -16, 14, -66, -77, -64, -81]
  Compare -9 and -16
  Swap -9 and -16
  List after swap: [-56, -16, -9, 14, -66, -77, -64, -81]
  Compare -9 and 14
  No swap needed
  Compare 14 and -66
  Swap 14 and -66
  List after swap: [-56, -16, -9, -66, 14, -77, -64, -81]
  Compare 14 and -77
  Swap 14 and -77
  List after swap: [-56, -16, -9, -66, -77, 14, -64, -81]
  Compare 14 and -64
  Swap 14 and -64
  List after swap: [-56, -16, -9, -66, -77, -64, 14, -81]
  Compare 14 and -81
  Swap 14 and -81
  List after swap: [-56, -16, -9, -66, -77, -64, -81, 14]

Pass 2:
  Compare -56 and -16
  No swap needed
  Compare -16 and -9
  No swap needed
  Compare -9 and -66
  Swap -9 and -66
  List after swap: [-56, -16, -66, -9, -77, -64, -81, 14]
  Compare -9 and -77
  Swap -9 and -77
  List after swap: [-56, -16, -66, -77, -9, -64, -81, 14]
  Compare -9 and -64
  Swap -9 and -64
  List after swap: [-56, -16, -66, -77, -64, -9, -81, 14]
  Compare -9 and -81
  Swap -9 and -81
  List after swap: [-56, -16, -66, -77, -64, -81, -9, 14]

Pass 3:
  Compare -56 and -16
  No swap needed
  Compare -16 and -66
  Swap -16 and -66
  List after swap: [-56, -66, -16, -77, -64, -81, -9, 14]
  Compare -16 and -77
  Swap -16 and -77
  List after swap: [-56, -66, -77, -16, -64, -81, -9, 14]
  Compare -16 and -64
  Swap -16 and -64
  List after swap: [-56, -66, -77, -64, -16, -81, -9, 14]
  Compare -16 and -81
  Swap -16 and -81
  List after swap: [-56, -66, -77, -64, -81, -16, -9, 14]

Pass 4:
  Compare -56 and -66
  Swap -56 and -66
  List after swap: [-66, -56, -77, -64, -81, -16, -9, 14]
  Compare -56 and -77
  Swap -56 and -77
  List after swap: [-66, -77, -56, -64, -81, -16, -9, 14]
  Compare -56 and -64
  Swap -56 and -64
  List after swap: [-66, -77, -64, -56, -81, -16, -9, 14]
  Compare -56 and -81
  Swap -56 and -81
  List after swap: [-66, -77, -64, -81, -56, -16, -9, 14]

Pass 5:
  Compare -66 and -77
  Swap -66 and -77
  List after swap: [-77, -66, -64, -81, -56, -16, -9, 14]
  Compare -66 and -64
  No swap needed
  Compare -64 and -81
  Swap -64 and -81
  List after swap: [-77, -66, -81, -64, -56, -16, -9, 14]

Pass 6:
  Compare -77 and -66
  No swap needed
  Compare -66 and -81
  Swap -66 and -81
  List after swap: [-77, -81, -66, -64, -56, -16, -9, 14]

Pass 7:
  Compare -77 and -81
  Swap -77 and -81
  List after swap: [-81, -77, -66, -64, -56, -16, -9, 14]

Pass 8:
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -77, -66, -64, -56, -16, -9, 14]
</think>

<response>-81, -77, -66, -64, -56, -16, -9, 14</response>


input: Carry out the bubble sort algorithm on -86, 16, 24, -35, 44, -25, 45, -94 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-86, 16, 24, -35, 44, -25, 45, -94]

Pass 1:
  Compare -86 and 16
  No swap needed
  Compare 16 and 24
  No swap needed
  Compare 24 and -35
  Swap 24 and -35
  List after swap: [-86, 16, -35, 24, 44, -25, 45, -94]
  Compare 24 and 44
  No swap needed
  Compare 44 and -25
  Swap 44 and -25
  List after swap: [-86, 16, -35, 24, -25, 44, 45, -94]
  Compare 44 and 45
  No swap needed
  Compare 45 and -94
  Swap 45 and -94
  List after swap: [-86, 16, -35, 24, -25, 44, -94, 45]

Pass 2:
  Compare -86 and 16
  No swap needed
  Compare 16 and -35
  Swap 16 and -35
  List after swap: [-86, -35, 16, 24, -25, 44, -94, 45]
  Compare 16 and 24
  No swap needed
  Compare 24 and -25
  Swap 24 and -25
  List after swap: [-86, -35, 16, -25, 24, 44, -94, 45]
  Compare 24 and 44
  No swap needed
  Compare 44 and -94
  Swap 44 and -94
  List after swap: [-86, -35, 16, -25, 24, -94, 44, 45]

Pass 3:
  Compare -86 and -35
  No swap needed
  Compare -35 and 16
  No swap needed
  Compare 16 and -25
  Swap 16 and -25
  List after swap: [-86, -35, -25, 16, 24, -94, 44, 45]
  Compare 16 and 24
  No swap needed
  Compare 24 and -94
  Swap 24 and -94
  List after swap: [-86, -35, -25, 16, -94, 24, 44, 45]

Pass 4:
  Compare -86 and -35
  No swap needed
  Compare -35 and -25
  No swap needed
  Compare -25 and 16
  No swap needed
  Compare 16 and -94
  Swap 16 and -94
  List after swap: [-86, -35, -25, -94, 16, 24, 44, 45]

Pass 5:
  Compare -86 and -35
  No swap needed
  Compare -35 and -25
  No swap needed
  Compare -25 and -94
  Swap -25 and -94
  List after swap: [-86, -35, -94, -25, 16, 24, 44, 45]

Pass 6:
  Compare -86 and -35
  No swap needed
  Compare -35 and -94
  Swap -35 and -94
  List after swap: [-86, -94, -35, -25, 16, 24, 44, 45]

Pass 7:
  Compare -86 and -94
  Swap -86 and -94
  List after swap: [-94, -86, -35, -25, 16, 24, 44, 45]

Pass 8:
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -86, -35, -25, 16, 24, 44, 45]
</think>

<response>-94, -86, -35, -25, 16, 24, 44, 45</response>


input: Sort these integers -86, -68, 33, 61, 77, -34, 75, -31 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-86, -68, 33, 61, 77, -34, 75, -31]

Pass 1:
  Compare -86 and -68
  No swap needed
  Compare -68 and 33
  No swap needed
  Compare 33 and 61
  No swap needed
  Compare 61 and 77
  No swap needed
  Compare 77 and -34
  Swap 77 and -34
  List after swap: [-86, -68, 33, 61, -34, 77, 75, -31]
  Compare 77 and 75
  Swap 77 and 75
  List after swap: [-86, -68, 33, 61, -34, 75, 77, -31]
  Compare 77 and -31
  Swap 77 and -31
  List after swap: [-86, -68, 33, 61, -34, 75, -31, 77]

Pass 2:
  Compare -86 and -68
  No swap needed
  Compare -68 and 33
  No swap needed
  Compare 33 and 61
  No swap needed
  Compare 61 and -34
  Swap 61 and -34
  List after swap: [-86, -68, 33, -34, 61, 75, -31, 77]
  Compare 61 and 75
  No swap needed
  Compare 75 and -31
  Swap 75 and -31
  List after swap: [-86, -68, 33, -34, 61, -31, 75, 77]

Pass 3:
  Compare -86 and -68
  No swap needed
  Compare -68 and 33
  No swap needed
  Compare 33 and -34
  Swap 33 and -34
  List after swap: [-86, -68, -34, 33, 61, -31, 75, 77]
  Compare 33 and 61
  No swap needed
  Compare 61 and -31
  Swap 61 and -31
  List after swap: [-86, -68, -34, 33, -31, 61, 75, 77]

Pass 4:
  Compare -86 and -68
  No swap needed
  Compare -68 and -34
  No swap needed
  Compare -34 and 33
  No swap needed
  Compare 33 and -31
  Swap 33 and -31
  List after swap: [-86, -68, -34, -31, 33, 61, 75, 77]

Pass 5:
  Compare -86 and -68
  No swap needed
  Compare -68 and -34
  No swap needed
  Compare -34 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -68, -34, -31, 33, 61, 75, 77]
</think>

<response>-86, -68, -34, -31, 33, 61, 75, 77</response>


input: Sort the list -56, -76, 25, -84, 17, -78, 3, 48 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-56, -76, 25, -84, 17, -78, 3, 48]

Pass 1:
  Compare -56 and -76
  Swap -56 and -76
  List after swap: [-76, -56, 25, -84, 17, -78, 3, 48]
  Compare -56 and 25
  No swap needed
  Compare 25 and -84
  Swap 25 and -84
  List after swap: [-76, -56, -84, 25, 17, -78, 3, 48]
  Compare 25 and 17
  Swap 25 and 17
  List after swap: [-76, -56, -84, 17, 25, -78, 3, 48]
  Compare 25 and -78
  Swap 25 and -78
  List after swap: [-76, -56, -84, 17, -78, 25, 3, 48]
  Compare 25 and 3
  Swap 25 and 3
  List after swap: [-76, -56, -84, 17, -78, 3, 25, 48]
  Compare 25 and 48
  No swap needed

Pass 2:
  Compare -76 and -56
  No swap needed
  Compare -56 and -84
  Swap -56 and -84
  List after swap: [-76, -84, -56, 17, -78, 3, 25, 48]
  Compare -56 and 17
  No swap needed
  Compare 17 and -78
  Swap 17 and -78
  List after swap: [-76, -84, -56, -78, 17, 3, 25, 48]
  Compare 17 and 3
  Swap 17 and 3
  List after swap: [-76, -84, -56, -78, 3, 17, 25, 48]
  Compare 17 and 25
  No swap needed

Pass 3:
  Compare -76 and -84
  Swap -76 and -84
  List after swap: [-84, -76, -56, -78, 3, 17, 25, 48]
  Compare -76 and -56
  No swap needed
  Compare -56 and -78
  Swap -56 and -78
  List after swap: [-84, -76, -78, -56, 3, 17, 25, 48]
  Compare -56 and 3
  No swap needed
  Compare 3 and 17
  No swap needed

Pass 4:
  Compare -84 and -76
  No swap needed
  Compare -76 and -78
  Swap -76 and -78
  List after swap: [-84, -78, -76, -56, 3, 17, 25, 48]
  Compare -76 and -56
  No swap needed
  Compare -56 and 3
  No swap needed

Pass 5:
  Compare -84 and -78
  No swap needed
  Compare -78 and -76
  No swap needed
  Compare -76 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -78, -76, -56, 3, 17, 25, 48]
</think>

<response>-84, -78, -76, -56, 3, 17, 25, 48</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 10, -37, -95.

output:
<think>
Initial list: [10, -37, -95]

Pass 1:
  Compare 10 and -37
  Swap 10 and -37
  List after swap: [-37, 10, -95]
  Compare 10 and -95
  Swap 10 and -95
  List after swap: [-37, -95, 10]

Pass 2:
  Compare -37 and -95
  Swap -37 and -95
  List after swap: [-95, -37, 10]

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

Final sorted list: [-95, -37, 10]
</think>

<response>-95, -37, 10</response>


input: Execute bubble sort to sort -14, 52, -37, -91, -28 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-14, 52, -37, -91, -28]

Pass 1:
  Compare -14 and 52
  No swap needed
  Compare 52 and -37
  Swap 52 and -37
  List after swap: [-14, -37, 52, -91, -28]
  Compare 52 and -91
  Swap 52 and -91
  List after swap: [-14, -37, -91, 52, -28]
  Compare 52 and -28
  Swap 52 and -28
  List after swap: [-14, -37, -91, -28, 52]

Pass 2:
  Compare -14 and -37
  Swap -14 and -37
  List after swap: [-37, -14, -91, -28, 52]
  Compare -14 and -91
  Swap -14 and -91
  List after swap: [-37, -91, -14, -28, 52]
  Compare -14 and -28
  Swap -14 and -28
  List after swap: [-37, -91, -28, -14, 52]

Pass 3:
  Compare -37 and -91
  Swap -37 and -91
  List after swap: [-91, -37, -28, -14, 52]
  Compare -37 and -28
  No swap needed

Pass 4:
  Compare -91 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -37, -28, -14, 52]
</think>

<response>-91, -37, -28, -14, 52</response>


input: Use the bubble sort technique to reorder 73, -54, 32, -62, -42, 28, -97, -82, 27, 95 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [73, -54, 32, -62, -42, 28, -97, -82, 27, 95]

Pass 1:
  Compare 73 and -54
  Swap 73 and -54
  List after swap: [-54, 73, 32, -62, -42, 28, -97, -82, 27, 95]
  Compare 73 and 32
  Swap 73 and 32
  List after swap: [-54, 32, 73, -62, -42, 28, -97, -82, 27, 95]
  Compare 73 and -62
  Swap 73 and -62
  List after swap: [-54, 32, -62, 73, -42, 28, -97, -82, 27, 95]
  Compare 73 and -42
  Swap 73 and -42
  List after swap: [-54, 32, -62, -42, 73, 28, -97, -82, 27, 95]
  Compare 73 and 28
  Swap 73 and 28
  List after swap: [-54, 32, -62, -42, 28, 73, -97, -82, 27, 95]
  Compare 73 and -97
  Swap 73 and -97
  List after swap: [-54, 32, -62, -42, 28, -97, 73, -82, 27, 95]
  Compare 73 and -82
  Swap 73 and -82
  List after swap: [-54, 32, -62, -42, 28, -97, -82, 73, 27, 95]
  Compare 73 and 27
  Swap 73 and 27
  List after swap: [-54, 32, -62, -42, 28, -97, -82, 27, 73, 95]
  Compare 73 and 95
  No swap needed

Pass 2:
  Compare -54 and 32
  No swap needed
  Compare 32 and -62
  Swap 32 and -62
  List after swap: [-54, -62, 32, -42, 28, -97, -82, 27, 73, 95]
  Compare 32 and -42
  Swap 32 and -42
  List after swap: [-54, -62, -42, 32, 28, -97, -82, 27, 73, 95]
  Compare 32 and 28
  Swap 32 and 28
  List after swap: [-54, -62, -42, 28, 32, -97, -82, 27, 73, 95]
  Compare 32 and -97
  Swap 32 and -97
  List after swap: [-54, -62, -42, 28, -97, 32, -82, 27, 73, 95]
  Compare 32 and -82
  Swap 32 and -82
  List after swap: [-54, -62, -42, 28, -97, -82, 32, 27, 73, 95]
  Compare 32 and 27
  Swap 32 and 27
  List after swap: [-54, -62, -42, 28, -97, -82, 27, 32, 73, 95]
  Compare 32 and 73
  No swap needed

Pass 3:
  Compare -54 and -62
  Swap -54 and -62
  List after swap: [-62, -54, -42, 28, -97, -82, 27, 32, 73, 95]
  Compare -54 and -42
  No swap needed
  Compare -42 and 28
  No swap needed
  Compare 28 and -97
  Swap 28 and -97
  List after swap: [-62, -54, -42, -97, 28, -82, 27, 32, 73, 95]
  Compare 28 and -82
  Swap 28 and -82
  List after swap: [-62, -54, -42, -97, -82, 28, 27, 32, 73, 95]
  Compare 28 and 27
  Swap 28 and 27
  List after swap: [-62, -54, -42, -97, -82, 27, 28, 32, 73, 95]
  Compare 28 and 32
  No swap needed

Pass 4:
  Compare -62 and -54
  No swap needed
  Compare -54 and -42
  No swap needed
  Compare -42 and -97
  Swap -42 and -97
  List after swap: [-62, -54, -97, -42, -82, 27, 28, 32, 73, 95]
  Compare -42 and -82
  Swap -42 and -82
  List after swap: [-62, -54, -97, -82, -42, 27, 28, 32, 73, 95]
  Compare -42 and 27
  No swap needed
  Compare 27 and 28
  No swap needed

Pass 5:
  Compare -62 and -54
  No swap needed
  Compare -54 and -97
  Swap -54 and -97
  List after swap: [-62, -97, -54, -82, -42, 27, 28, 32, 73, 95]
  Compare -54 and -82
  Swap -54 and -82
  List after swap: [-62, -97, -82, -54, -42, 27, 28, 32, 73, 95]
  Compare -54 and -42
  No swap needed
  Compare -42 and 27
  No swap needed

Pass 6:
  Compare -62 and -97
  Swap -62 and -97
  List after swap: [-97, -62, -82, -54, -42, 27, 28, 32, 73, 95]
  Compare -62 and -82
  Swap -62 and -82
  List after swap: [-97, -82, -62, -54, -42, 27, 28, 32, 73, 95]
  Compare -62 and -54
  No swap needed
  Compare -54 and -42
  No swap needed

Pass 7:
  Compare -97 and -82
  No swap needed
  Compare -82 and -62
  No swap needed
  Compare -62 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -82, -62, -54, -42, 27, 28, 32, 73, 95]
</think>

<response>-97, -82, -62, -54, -42, 27, 28, 32, 73, 95</response>


input: Implement bubble sort on -89, -34, 83, 42, -13, -37, -47 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-89, -34, 83, 42, -13, -37, -47]

Pass 1:
  Compare -89 and -34
  No swap needed
  Compare -34 and 83
  No swap needed
  Compare 83 and 42
  Swap 83 and 42
  List after swap: [-89, -34, 42, 83, -13, -37, -47]
  Compare 83 and -13
  Swap 83 and -13
  List after swap: [-89, -34, 42, -13, 83, -37, -47]
  Compare 83 and -37
  Swap 83 and -37
  List after swap: [-89, -34, 42, -13, -37, 83, -47]
  Compare 83 and -47
  Swap 83 and -47
  List after swap: [-89, -34, 42, -13, -37, -47, 83]

Pass 2:
  Compare -89 and -34
  No swap needed
  Compare -34 and 42
  No swap needed
  Compare 42 and -13
  Swap 42 and -13
  List after swap: [-89, -34, -13, 42, -37, -47, 83]
  Compare 42 and -37
  Swap 42 and -37
  List after swap: [-89, -34, -13, -37, 42, -47, 83]
  Compare 42 and -47
  Swap 42 and -47
  List after swap: [-89, -34, -13, -37, -47, 42, 83]

Pass 3:
  Compare -89 and -34
  No swap needed
  Compare -34 and -13
  No swap needed
  Compare -13 and -37
  Swap -13 and -37
  List after swap: [-89, -34, -37, -13, -47, 42, 83]
  Compare -13 and -47
  Swap -13 and -47
  List after swap: [-89, -34, -37, -47, -13, 42, 83]

Pass 4:
  Compare -89 and -34
  No swap needed
  Compare -34 and -37
  Swap -34 and -37
  List after swap: [-89, -37, -34, -47, -13, 42, 83]
  Compare -34 and -47
  Swap -34 and -47
  List after swap: [-89, -37, -47, -34, -13, 42, 83]

Pass 5:
  Compare -89 and -37
  No swap needed
  Compare -37 and -47
  Swap -37 and -47
  List after swap: [-89, -47, -37, -34, -13, 42, 83]

Pass 6:
  Compare -89 and -47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -47, -37, -34, -13, 42, 83]
</think>

<response>-89, -47, -37, -34, -13, 42, 83</response>


input: Execute bubble sort to sort -64, -84, -39, -48, -55, 51, 48, -72, -13 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-64, -84, -39, -48, -55, 51, 48, -72, -13]

Pass 1:
  Compare -64 and -84
  Swap -64 and -84
  List after swap: [-84, -64, -39, -48, -55, 51, 48, -72, -13]
  Compare -64 and -39
  No swap needed
  Compare -39 and -48
  Swap -39 and -48
  List after swap: [-84, -64, -48, -39, -55, 51, 48, -72, -13]
  Compare -39 and -55
  Swap -39 and -55
  List after swap: [-84, -64, -48, -55, -39, 51, 48, -72, -13]
  Compare -39 and 51
  No swap needed
  Compare 51 and 48
  Swap 51 and 48
  List after swap: [-84, -64, -48, -55, -39, 48, 51, -72, -13]
  Compare 51 and -72
  Swap 51 and -72
  List after swap: [-84, -64, -48, -55, -39, 48, -72, 51, -13]
  Compare 51 and -13
  Swap 51 and -13
  List after swap: [-84, -64, -48, -55, -39, 48, -72, -13, 51]

Pass 2:
  Compare -84 and -64
  No swap needed
  Compare -64 and -48
  No swap needed
  Compare -48 and -55
  Swap -48 and -55
  List after swap: [-84, -64, -55, -48, -39, 48, -72, -13, 51]
  Compare -48 and -39
  No swap needed
  Compare -39 and 48
  No swap needed
  Compare 48 and -72
  Swap 48 and -72
  List after swap: [-84, -64, -55, -48, -39, -72, 48, -13, 51]
  Compare 48 and -13
  Swap 48 and -13
  List after swap: [-84, -64, -55, -48, -39, -72, -13, 48, 51]

Pass 3:
  Compare -84 and -64
  No swap needed
  Compare -64 and -55
  No swap needed
  Compare -55 and -48
  No swap needed
  Compare -48 and -39
  No swap needed
  Compare -39 and -72
  Swap -39 and -72
  List after swap: [-84, -64, -55, -48, -72, -39, -13, 48, 51]
  Compare -39 and -13
  No swap needed

Pass 4:
  Compare -84 and -64
  No swap needed
  Compare -64 and -55
  No swap needed
  Compare -55 and -48
  No swap needed
  Compare -48 and -72
  Swap -48 and -72
  List after swap: [-84, -64, -55, -72, -48, -39, -13, 48, 51]
  Compare -48 and -39
  No swap needed

Pass 5:
  Compare -84 and -64
  No swap needed
  Compare -64 and -55
  No swap needed
  Compare -55 and -72
  Swap -55 and -72
  List after swap: [-84, -64, -72, -55, -48, -39, -13, 48, 51]
  Compare -55 and -48
  No swap needed

Pass 6:
  Compare -84 and -64
  No swap needed
  Compare -64 and -72
  Swap -64 and -72
  List after swap: [-84, -72, -64, -55, -48, -39, -13, 48, 51]
  Compare -64 and -55
  No swap needed

Pass 7:
  Compare -84 and -72
  No swap needed
  Compare -72 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -72, -64, -55, -48, -39, -13, 48, 51]
</think>

<response>-84, -72, -64, -55, -48, -39, -13, 48, 51</response>


input: Arrange the numbers -65, -30, 39, -19, -89, -87, 26, -64, -92 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-65, -30, 39, -19, -89, -87, 26, -64, -92]

Pass 1:
  Compare -65 and -30
  No swap needed
  Compare -30 and 39
  No swap needed
  Compare 39 and -19
  Swap 39 and -19
  List after swap: [-65, -30, -19, 39, -89, -87, 26, -64, -92]
  Compare 39 and -89
  Swap 39 and -89
  List after swap: [-65, -30, -19, -89, 39, -87, 26, -64, -92]
  Compare 39 and -87
  Swap 39 and -87
  List after swap: [-65, -30, -19, -89, -87, 39, 26, -64, -92]
  Compare 39 and 26
  Swap 39 and 26
  List after swap: [-65, -30, -19, -89, -87, 26, 39, -64, -92]
  Compare 39 and -64
  Swap 39 and -64
  List after swap: [-65, -30, -19, -89, -87, 26, -64, 39, -92]
  Compare 39 and -92
  Swap 39 and -92
  List after swap: [-65, -30, -19, -89, -87, 26, -64, -92, 39]

Pass 2:
  Compare -65 and -30
  No swap needed
  Compare -30 and -19
  No swap needed
  Compare -19 and -89
  Swap -19 and -89
  List after swap: [-65, -30, -89, -19, -87, 26, -64, -92, 39]
  Compare -19 and -87
  Swap -19 and -87
  List after swap: [-65, -30, -89, -87, -19, 26, -64, -92, 39]
  Compare -19 and 26
  No swap needed
  Compare 26 and -64
  Swap 26 and -64
  List after swap: [-65, -30, -89, -87, -19, -64, 26, -92, 39]
  Compare 26 and -92
  Swap 26 and -92
  List after swap: [-65, -30, -89, -87, -19, -64, -92, 26, 39]

Pass 3:
  Compare -65 and -30
  No swap needed
  Compare -30 and -89
  Swap -30 and -89
  List after swap: [-65, -89, -30, -87, -19, -64, -92, 26, 39]
  Compare -30 and -87
  Swap -30 and -87
  List after swap: [-65, -89, -87, -30, -19, -64, -92, 26, 39]
  Compare -30 and -19
  No swap needed
  Compare -19 and -64
  Swap -19 and -64
  List after swap: [-65, -89, -87, -30, -64, -19, -92, 26, 39]
  Compare -19 and -92
  Swap -19 and -92
  List after swap: [-65, -89, -87, -30, -64, -92, -19, 26, 39]

Pass 4:
  Compare -65 and -89
  Swap -65 and -89
  List after swap: [-89, -65, -87, -30, -64, -92, -19, 26, 39]
  Compare -65 and -87
  Swap -65 and -87
  List after swap: [-89, -87, -65, -30, -64, -92, -19, 26, 39]
  Compare -65 and -30
  No swap needed
  Compare -30 and -64
  Swap -30 and -64
  List after swap: [-89, -87, -65, -64, -30, -92, -19, 26, 39]
  Compare -30 and -92
  Swap -30 and -92
  List after swap: [-89, -87, -65, -64, -92, -30, -19, 26, 39]

Pass 5:
  Compare -89 and -87
  No swap needed
  Compare -87 and -65
  No swap needed
  Compare -65 and -64
  No swap needed
  Compare -64 and -92
  Swap -64 and -92
  List after swap: [-89, -87, -65, -92, -64, -30, -19, 26, 39]

Pass 6:
  Compare -89 and -87
  No swap needed
  Compare -87 and -65
  No swap needed
  Compare -65 and -92
  Swap -65 and -92
  List after swap: [-89, -87, -92, -65, -64, -30, -19, 26, 39]

Pass 7:
  Compare -89 and -87
  No swap needed
  Compare -87 and -92
  Swap -87 and -92
  List after swap: [-89, -92, -87, -65, -64, -30, -19, 26, 39]

Pass 8:
  Compare -89 and -92
  Swap -89 and -92
  List after swap: [-92, -89, -87, -65, -64, -30, -19, 26, 39]

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

Final sorted list: [-92, -89, -87, -65, -64, -30, -19, 26, 39]
</think>

<response>-92, -89, -87, -65, -64, -30, -19, 26, 39</response>


input: Sort these integers 32, -1, -45, 98 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [32, -1, -45, 98]

Pass 1:
  Compare 32 and -1
  Swap 32 and -1
  List after swap: [-1, 32, -45, 98]
  Compare 32 and -45
  Swap 32 and -45
  List after swap: [-1, -45, 32, 98]
  Compare 32 and 98
  No swap needed

Pass 2:
  Compare -1 and -45
  Swap -1 and -45
  List after swap: [-45, -1, 32, 98]
  Compare -1 and 32
  No swap needed

Pass 3:
  Compare -45 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-45, -1, 32, 98]
</think>

<response>-45, -1, 32, 98</response>


input: Execute bubble sort to sort -10, -68 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-10, -68]

Pass 1:
  Compare -10 and -68
  Swap -10 and -68
  List after swap: [-68, -10]

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

Final sorted list: [-68, -10]
</think>

<response>-68, -10</response>


input: Sort the list 52, -86, 65, 34, -28 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [52, -86, 65, 34, -28]

Pass 1:
  Compare 52 and -86
  Swap 52 and -86
  List after swap: [-86, 52, 65, 34, -28]
  Compare 52 and 65
  No swap needed
  Compare 65 and 34
  Swap 65 and 34
  List after swap: [-86, 52, 34, 65, -28]
  Compare 65 and -28
  Swap 65 and -28
  List after swap: [-86, 52, 34, -28, 65]

Pass 2:
  Compare -86 and 52
  No swap needed
  Compare 52 and 34
  Swap 52 and 34
  List after swap: [-86, 34, 52, -28, 65]
  Compare 52 and -28
  Swap 52 and -28
  List after swap: [-86, 34, -28, 52, 65]

Pass 3:
  Compare -86 and 34
  No swap needed
  Compare 34 and -28
  Swap 34 and -28
  List after swap: [-86, -28, 34, 52, 65]

Pass 4:
  Compare -86 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -28, 34, 52, 65]
</think>

<response>-86, -28, 34, 52, 65</response>


input: Carry out the bubble sort algorithm on -47, -21, 26, 11, -62, 84, -28, 83, -22 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-47, -21, 26, 11, -62, 84, -28, 83, -22]

Pass 1:
  Compare -47 and -21
  No swap needed
  Compare -21 and 26
  No swap needed
  Compare 26 and 11
  Swap 26 and 11
  List after swap: [-47, -21, 11, 26, -62, 84, -28, 83, -22]
  Compare 26 and -62
  Swap 26 and -62
  List after swap: [-47, -21, 11, -62, 26, 84, -28, 83, -22]
  Compare 26 and 84
  No swap needed
  Compare 84 and -28
  Swap 84 and -28
  List after swap: [-47, -21, 11, -62, 26, -28, 84, 83, -22]
  Compare 84 and 83
  Swap 84 and 83
  List after swap: [-47, -21, 11, -62, 26, -28, 83, 84, -22]
  Compare 84 and -22
  Swap 84 and -22
  List after swap: [-47, -21, 11, -62, 26, -28, 83, -22, 84]

Pass 2:
  Compare -47 and -21
  No swap needed
  Compare -21 and 11
  No swap needed
  Compare 11 and -62
  Swap 11 and -62
  List after swap: [-47, -21, -62, 11, 26, -28, 83, -22, 84]
  Compare 11 and 26
  No swap needed
  Compare 26 and -28
  Swap 26 and -28
  List after swap: [-47, -21, -62, 11, -28, 26, 83, -22, 84]
  Compare 26 and 83
  No swap needed
  Compare 83 and -22
  Swap 83 and -22
  List after swap: [-47, -21, -62, 11, -28, 26, -22, 83, 84]

Pass 3:
  Compare -47 and -21
  No swap needed
  Compare -21 and -62
  Swap -21 and -62
  List after swap: [-47, -62, -21, 11, -28, 26, -22, 83, 84]
  Compare -21 and 11
  No swap needed
  Compare 11 and -28
  Swap 11 and -28
  List after swap: [-47, -62, -21, -28, 11, 26, -22, 83, 84]
  Compare 11 and 26
  No swap needed
  Compare 26 and -22
  Swap 26 and -22
  List after swap: [-47, -62, -21, -28, 11, -22, 26, 83, 84]

Pass 4:
  Compare -47 and -62
  Swap -47 and -62
  List after swap: [-62, -47, -21, -28, 11, -22, 26, 83, 84]
  Compare -47 and -21
  No swap needed
  Compare -21 and -28
  Swap -21 and -28
  List after swap: [-62, -47, -28, -21, 11, -22, 26, 83, 84]
  Compare -21 and 11
  No swap needed
  Compare 11 and -22
  Swap 11 and -22
  List after swap: [-62, -47, -28, -21, -22, 11, 26, 83, 84]

Pass 5:
  Compare -62 and -47
  No swap needed
  Compare -47 and -28
  No swap needed
  Compare -28 and -21
  No swap needed
  Compare -21 and -22
  Swap -21 and -22
  List after swap: [-62, -47, -28, -22, -21, 11, 26, 83, 84]

Pass 6:
  Compare -62 and -47
  No swap needed
  Compare -47 and -28
  No swap needed
  Compare -28 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -47, -28, -22, -21, 11, 26, 83, 84]
</think>

<response>-62, -47, -28, -22, -21, 11, 26, 83, 84</response>


input: Sort these integers 28, 62, 92, 79, 48, 38, -32 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [28, 62, 92, 79, 48, 38, -32]

Pass 1:
  Compare 28 and 62
  No swap needed
  Compare 62 and 92
  No swap needed
  Compare 92 and 79
  Swap 92 and 79
  List after swap: [28, 62, 79, 92, 48, 38, -32]
  Compare 92 and 48
  Swap 92 and 48
  List after swap: [28, 62, 79, 48, 92, 38, -32]
  Compare 92 and 38
  Swap 92 and 38
  List after swap: [28, 62, 79, 48, 38, 92, -32]
  Compare 92 and -32
  Swap 92 and -32
  List after swap: [28, 62, 79, 48, 38, -32, 92]

Pass 2:
  Compare 28 and 62
  No swap needed
  Compare 62 and 79
  No swap needed
  Compare 79 and 48
  Swap 79 and 48
  List after swap: [28, 62, 48, 79, 38, -32, 92]
  Compare 79 and 38
  Swap 79 and 38
  List after swap: [28, 62, 48, 38, 79, -32, 92]
  Compare 79 and -32
  Swap 79 and -32
  List after swap: [28, 62, 48, 38, -32, 79, 92]

Pass 3:
  Compare 28 and 62
  No swap needed
  Compare 62 and 48
  Swap 62 and 48
  List after swap: [28, 48, 62, 38, -32, 79, 92]
  Compare 62 and 38
  Swap 62 and 38
  List after swap: [28, 48, 38, 62, -32, 79, 92]
  Compare 62 and -32
  Swap 62 and -32
  List after swap: [28, 48, 38, -32, 62, 79, 92]

Pass 4:
  Compare 28 and 48
  No swap needed
  Compare 48 and 38
  Swap 48 and 38
  List after swap: [28, 38, 48, -32, 62, 79, 92]
  Compare 48 and -32
  Swap 48 and -32
  List after swap: [28, 38, -32, 48, 62, 79, 92]

Pass 5:
  Compare 28 and 38
  No swap needed
  Compare 38 and -32
  Swap 38 and -32
  List after swap: [28, -32, 38, 48, 62, 79, 92]

Pass 6:
  Compare 28 and -32
  Swap 28 and -32
  List after swap: [-32, 28, 38, 48, 62, 79, 92]

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

Final sorted list: [-32, 28, 38, 48, 62, 79, 92]
</think>

<response>-32, 28, 38, 48, 62, 79, 92</response>


input: Sort these integers -97, 6, 71, 52, -73, 68, -62 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-97, 6, 71, 52, -73, 68, -62]

Pass 1:
  Compare -97 and 6
  No swap needed
  Compare 6 and 71
  No swap needed
  Compare 71 and 52
  Swap 71 and 52
  List after swap: [-97, 6, 52, 71, -73, 68, -62]
  Compare 71 and -73
  Swap 71 and -73
  List after swap: [-97, 6, 52, -73, 71, 68, -62]
  Compare 71 and 68
  Swap 71 and 68
  List after swap: [-97, 6, 52, -73, 68, 71, -62]
  Compare 71 and -62
  Swap 71 and -62
  List after swap: [-97, 6, 52, -73, 68, -62, 71]

Pass 2:
  Compare -97 and 6
  No swap needed
  Compare 6 and 52
  No swap needed
  Compare 52 and -73
  Swap 52 and -73
  List after swap: [-97, 6, -73, 52, 68, -62, 71]
  Compare 52 and 68
  No swap needed
  Compare 68 and -62
  Swap 68 and -62
  List after swap: [-97, 6, -73, 52, -62, 68, 71]

Pass 3:
  Compare -97 and 6
  No swap needed
  Compare 6 and -73
  Swap 6 and -73
  List after swap: [-97, -73, 6, 52, -62, 68, 71]
  Compare 6 and 52
  No swap needed
  Compare 52 and -62
  Swap 52 and -62
  List after swap: [-97, -73, 6, -62, 52, 68, 71]

Pass 4:
  Compare -97 and -73
  No swap needed
  Compare -73 and 6
  No swap needed
  Compare 6 and -62
  Swap 6 and -62
  List after swap: [-97, -73, -62, 6, 52, 68, 71]

Pass 5:
  Compare -97 and -73
  No swap needed
  Compare -73 and -62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -73, -62, 6, 52, 68, 71]
</think>

<response>-97, -73, -62, 6, 52, 68, 71</response>


input: Demonstrate how bubble sort orders the integers -20, -59, -62, 78, 97, -42, 15 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-20, -59, -62, 78, 97, -42, 15]

Pass 1:
  Compare -20 and -59
  Swap -20 and -59
  List after swap: [-59, -20, -62, 78, 97, -42, 15]
  Compare -20 and -62
  Swap -20 and -62
  List after swap: [-59, -62, -20, 78, 97, -42, 15]
  Compare -20 and 78
  No swap needed
  Compare 78 and 97
  No swap needed
  Compare 97 and -42
  Swap 97 and -42
  List after swap: [-59, -62, -20, 78, -42, 97, 15]
  Compare 97 and 15
  Swap 97 and 15
  List after swap: [-59, -62, -20, 78, -42, 15, 97]

Pass 2:
  Compare -59 and -62
  Swap -59 and -62
  List after swap: [-62, -59, -20, 78, -42, 15, 97]
  Compare -59 and -20
  No swap needed
  Compare -20 and 78
  No swap needed
  Compare 78 and -42
  Swap 78 and -42
  List after swap: [-62, -59, -20, -42, 78, 15, 97]
  Compare 78 and 15
  Swap 78 and 15
  List after swap: [-62, -59, -20, -42, 15, 78, 97]

Pass 3:
  Compare -62 and -59
  No swap needed
  Compare -59 and -20
  No swap needed
  Compare -20 and -42
  Swap -20 and -42
  List after swap: [-62, -59, -42, -20, 15, 78, 97]
  Compare -20 and 15
  No swap needed

Pass 4:
  Compare -62 and -59
  No swap needed
  Compare -59 and -42
  No swap needed
  Compare -42 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -59, -42, -20, 15, 78, 97]
</think>

<response>-62, -59, -42, -20, 15, 78, 97</response>


input: Perform a bubble sort on the integers -53, 48, -92, -41, 69, 55, -10, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-53, 48, -92, -41, 69, 55, -10]

Pass 1:
  Compare -53 and 48
  No swap needed
  Compare 48 and -92
  Swap 48 and -92
  List after swap: [-53, -92, 48, -41, 69, 55, -10]
  Compare 48 and -41
  Swap 48 and -41
  List after swap: [-53, -92, -41, 48, 69, 55, -10]
  Compare 48 and 69
  No swap needed
  Compare 69 and 55
  Swap 69 and 55
  List after swap: [-53, -92, -41, 48, 55, 69, -10]
  Compare 69 and -10
  Swap 69 and -10
  List after swap: [-53, -92, -41, 48, 55, -10, 69]

Pass 2:
  Compare -53 and -92
  Swap -53 and -92
  List after swap: [-92, -53, -41, 48, 55, -10, 69]
  Compare -53 and -41
  No swap needed
  Compare -41 and 48
  No swap needed
  Compare 48 and 55
  No swap needed
  Compare 55 and -10
  Swap 55 and -10
  List after swap: [-92, -53, -41, 48, -10, 55, 69]

Pass 3:
  Compare -92 and -53
  No swap needed
  Compare -53 and -41
  No swap needed
  Compare -41 and 48
  No swap needed
  Compare 48 and -10
  Swap 48 and -10
  List after swap: [-92, -53, -41, -10, 48, 55, 69]

Pass 4:
  Compare -92 and -53
  No swap needed
  Compare -53 and -41
  No swap needed
  Compare -41 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -53, -41, -10, 48, 55, 69]
</think>

<response>-92, -53, -41, -10, 48, 55, 69</response>


input: Use the bubble sort technique to reorder 28, -15, -47, -53, -64 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [28, -15, -47, -53, -64]

Pass 1:
  Compare 28 and -15
  Swap 28 and -15
  List after swap: [-15, 28, -47, -53, -64]
  Compare 28 and -47
  Swap 28 and -47
  List after swap: [-15, -47, 28, -53, -64]
  Compare 28 and -53
  Swap 28 and -53
  List after swap: [-15, -47, -53, 28, -64]
  Compare 28 and -64
  Swap 28 and -64
  List after swap: [-15, -47, -53, -64, 28]

Pass 2:
  Compare -15 and -47
  Swap -15 and -47
  List after swap: [-47, -15, -53, -64, 28]
  Compare -15 and -53
  Swap -15 and -53
  List after swap: [-47, -53, -15, -64, 28]
  Compare -15 and -64
  Swap -15 and -64
  List after swap: [-47, -53, -64, -15, 28]

Pass 3:
  Compare -47 and -53
  Swap -47 and -53
  List after swap: [-53, -47, -64, -15, 28]
  Compare -47 and -64
  Swap -47 and -64
  List after swap: [-53, -64, -47, -15, 28]

Pass 4:
  Compare -53 and -64
  Swap -53 and -64
  List after swap: [-64, -53, -47, -15, 28]

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

Final sorted list: [-64, -53, -47, -15, 28]
</think>

<response>-64, -53, -47, -15, 28</response>


input: Arrange the numbers 78, 52, -13, 35, 56, -64, -17, -53 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [78, 52, -13, 35, 56, -64, -17, -53]

Pass 1:
  Compare 78 and 52
  Swap 78 and 52
  List after swap: [52, 78, -13, 35, 56, -64, -17, -53]
  Compare 78 and -13
  Swap 78 and -13
  List after swap: [52, -13, 78, 35, 56, -64, -17, -53]
  Compare 78 and 35
  Swap 78 and 35
  List after swap: [52, -13, 35, 78, 56, -64, -17, -53]
  Compare 78 and 56
  Swap 78 and 56
  List after swap: [52, -13, 35, 56, 78, -64, -17, -53]
  Compare 78 and -64
  Swap 78 and -64
  List after swap: [52, -13, 35, 56, -64, 78, -17, -53]
  Compare 78 and -17
  Swap 78 and -17
  List after swap: [52, -13, 35, 56, -64, -17, 78, -53]
  Compare 78 and -53
  Swap 78 and -53
  List after swap: [52, -13, 35, 56, -64, -17, -53, 78]

Pass 2:
  Compare 52 and -13
  Swap 52 and -13
  List after swap: [-13, 52, 35, 56, -64, -17, -53, 78]
  Compare 52 and 35
  Swap 52 and 35
  List after swap: [-13, 35, 52, 56, -64, -17, -53, 78]
  Compare 52 and 56
  No swap needed
  Compare 56 and -64
  Swap 56 and -64
  List after swap: [-13, 35, 52, -64, 56, -17, -53, 78]
  Compare 56 and -17
  Swap 56 and -17
  List after swap: [-13, 35, 52, -64, -17, 56, -53, 78]
  Compare 56 and -53
  Swap 56 and -53
  List after swap: [-13, 35, 52, -64, -17, -53, 56, 78]

Pass 3:
  Compare -13 and 35
  No swap needed
  Compare 35 and 52
  No swap needed
  Compare 52 and -64
  Swap 52 and -64
  List after swap: [-13, 35, -64, 52, -17, -53, 56, 78]
  Compare 52 and -17
  Swap 52 and -17
  List after swap: [-13, 35, -64, -17, 52, -53, 56, 78]
  Compare 52 and -53
  Swap 52 and -53
  List after swap: [-13, 35, -64, -17, -53, 52, 56, 78]

Pass 4:
  Compare -13 and 35
  No swap needed
  Compare 35 and -64
  Swap 35 and -64
  List after swap: [-13, -64, 35, -17, -53, 52, 56, 78]
  Compare 35 and -17
  Swap 35 and -17
  List after swap: [-13, -64, -17, 35, -53, 52, 56, 78]
  Compare 35 and -53
  Swap 35 and -53
  List after swap: [-13, -64, -17, -53, 35, 52, 56, 78]

Pass 5:
  Compare -13 and -64
  Swap -13 and -64
  List after swap: [-64, -13, -17, -53, 35, 52, 56, 78]
  Compare -13 and -17
  Swap -13 and -17
  List after swap: [-64, -17, -13, -53, 35, 52, 56, 78]
  Compare -13 and -53
  Swap -13 and -53
  List after swap: [-64, -17, -53, -13, 35, 52, 56, 78]

Pass 6:
  Compare -64 and -17
  No swap needed
  Compare -17 and -53
  Swap -17 and -53
  List after swap: [-64, -53, -17, -13, 35, 52, 56, 78]

Pass 7:
  Compare -64 and -53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -53, -17, -13, 35, 52, 56, 78]
</think>

<response>-64, -53, -17, -13, 35, 52, 56, 78</response>


input: Using the bubble sort method, sort -69, 54, 86, 10, -94, 23, -100 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-69, 54, 86, 10, -94, 23, -100]

Pass 1:
  Compare -69 and 54
  No swap needed
  Compare 54 and 86
  No swap needed
  Compare 86 and 10
  Swap 86 and 10
  List after swap: [-69, 54, 10, 86, -94, 23, -100]
  Compare 86 and -94
  Swap 86 and -94
  List after swap: [-69, 54, 10, -94, 86, 23, -100]
  Compare 86 and 23
  Swap 86 and 23
  List after swap: [-69, 54, 10, -94, 23, 86, -100]
  Compare 86 and -100
  Swap 86 and -100
  List after swap: [-69, 54, 10, -94, 23, -100, 86]

Pass 2:
  Compare -69 and 54
  No swap needed
  Compare 54 and 10
  Swap 54 and 10
  List after swap: [-69, 10, 54, -94, 23, -100, 86]
  Compare 54 and -94
  Swap 54 and -94
  List after swap: [-69, 10, -94, 54, 23, -100, 86]
  Compare 54 and 23
  Swap 54 and 23
  List after swap: [-69, 10, -94, 23, 54, -100, 86]
  Compare 54 and -100
  Swap 54 and -100
  List after swap: [-69, 10, -94, 23, -100, 54, 86]

Pass 3:
  Compare -69 and 10
  No swap needed
  Compare 10 and -94
  Swap 10 and -94
  List after swap: [-69, -94, 10, 23, -100, 54, 86]
  Compare 10 and 23
  No swap needed
  Compare 23 and -100
  Swap 23 and -100
  List after swap: [-69, -94, 10, -100, 23, 54, 86]

Pass 4:
  Compare -69 and -94
  Swap -69 and -94
  List after swap: [-94, -69, 10, -100, 23, 54, 86]
  Compare -69 and 10
  No swap needed
  Compare 10 and -100
  Swap 10 and -100
  List after swap: [-94, -69, -100, 10, 23, 54, 86]

Pass 5:
  Compare -94 and -69
  No swap needed
  Compare -69 and -100
  Swap -69 and -100
  List after swap: [-94, -100, -69, 10, 23, 54, 86]

Pass 6:
  Compare -94 and -100
  Swap -94 and -100
  List after swap: [-100, -94, -69, 10, 23, 54, 86]

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

Final sorted list: [-100, -94, -69, 10, 23, 54, 86]
</think>

<response>-100, -94, -69, 10, 23, 54, 86</response>


input: Execute bubble sort to sort 70, 54, 32, 93, 62, 23 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [70, 54, 32, 93, 62, 23]

Pass 1:
  Compare 70 and 54
  Swap 70 and 54
  List after swap: [54, 70, 32, 93, 62, 23]
  Compare 70 and 32
  Swap 70 and 32
  List after swap: [54, 32, 70, 93, 62, 23]
  Compare 70 and 93
  No swap needed
  Compare 93 and 62
  Swap 93 and 62
  List after swap: [54, 32, 70, 62, 93, 23]
  Compare 93 and 23
  Swap 93 and 23
  List after swap: [54, 32, 70, 62, 23, 93]

Pass 2:
  Compare 54 and 32
  Swap 54 and 32
  List after swap: [32, 54, 70, 62, 23, 93]
  Compare 54 and 70
  No swap needed
  Compare 70 and 62
  Swap 70 and 62
  List after swap: [32, 54, 62, 70, 23, 93]
  Compare 70 and 23
  Swap 70 and 23
  List after swap: [32, 54, 62, 23, 70, 93]

Pass 3:
  Compare 32 and 54
  No swap needed
  Compare 54 and 62
  No swap needed
  Compare 62 and 23
  Swap 62 and 23
  List after swap: [32, 54, 23, 62, 70, 93]

Pass 4:
  Compare 32 and 54
  No swap needed
  Compare 54 and 23
  Swap 54 and 23
  List after swap: [32, 23, 54, 62, 70, 93]

Pass 5:
  Compare 32 and 23
  Swap 32 and 23
  List after swap: [23, 32, 54, 62, 70, 93]

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

Final sorted list: [23, 32, 54, 62, 70, 93]
</think>

<response>23, 32, 54, 62, 70, 93</response>


input: Implement bubble sort on 54, 61, 25, 29 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [54, 61, 25, 29]

Pass 1:
  Compare 54 and 61
  No swap needed
  Compare 61 and 25
  Swap 61 and 25
  List after swap: [54, 25, 61, 29]
  Compare 61 and 29
  Swap 61 and 29
  List after swap: [54, 25, 29, 61]

Pass 2:
  Compare 54 and 25
  Swap 54 and 25
  List after swap: [25, 54, 29, 61]
  Compare 54 and 29
  Swap 54 and 29
  List after swap: [25, 29, 54, 61]

Pass 3:
  Compare 25 and 29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [25, 29, 54, 61]
</think>

<response>25, 29, 54, 61</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -55, -38, 79, -14, -73, -33, 60, -94.

output:
<think>
Initial list: [-55, -38, 79, -14, -73, -33, 60, -94]

Pass 1:
  Compare -55 and -38
  No swap needed
  Compare -38 and 79
  No swap needed
  Compare 79 and -14
  Swap 79 and -14
  List after swap: [-55, -38, -14, 79, -73, -33, 60, -94]
  Compare 79 and -73
  Swap 79 and -73
  List after swap: [-55, -38, -14, -73, 79, -33, 60, -94]
  Compare 79 and -33
  Swap 79 and -33
  List after swap: [-55, -38, -14, -73, -33, 79, 60, -94]
  Compare 79 and 60
  Swap 79 and 60
  List after swap: [-55, -38, -14, -73, -33, 60, 79, -94]
  Compare 79 and -94
  Swap 79 and -94
  List after swap: [-55, -38, -14, -73, -33, 60, -94, 79]

Pass 2:
  Compare -55 and -38
  No swap needed
  Compare -38 and -14
  No swap needed
  Compare -14 and -73
  Swap -14 and -73
  List after swap: [-55, -38, -73, -14, -33, 60, -94, 79]
  Compare -14 and -33
  Swap -14 and -33
  List after swap: [-55, -38, -73, -33, -14, 60, -94, 79]
  Compare -14 and 60
  No swap needed
  Compare 60 and -94
  Swap 60 and -94
  List after swap: [-55, -38, -73, -33, -14, -94, 60, 79]

Pass 3:
  Compare -55 and -38
  No swap needed
  Compare -38 and -73
  Swap -38 and -73
  List after swap: [-55, -73, -38, -33, -14, -94, 60, 79]
  Compare -38 and -33
  No swap needed
  Compare -33 and -14
  No swap needed
  Compare -14 and -94
  Swap -14 and -94
  List after swap: [-55, -73, -38, -33, -94, -14, 60, 79]

Pass 4:
  Compare -55 and -73
  Swap -55 and -73
  List after swap: [-73, -55, -38, -33, -94, -14, 60, 79]
  Compare -55 and -38
  No swap needed
  Compare -38 and -33
  No swap needed
  Compare -33 and -94
  Swap -33 and -94
  List after swap: [-73, -55, -38, -94, -33, -14, 60, 79]

Pass 5:
  Compare -73 and -55
  No swap needed
  Compare -55 and -38
  No swap needed
  Compare -38 and -94
  Swap -38 and -94
  List after swap: [-73, -55, -94, -38, -33, -14, 60, 79]

Pass 6:
  Compare -73 and -55
  No swap needed
  Compare -55 and -94
  Swap -55 and -94
  List after swap: [-73, -94, -55, -38, -33, -14, 60, 79]

Pass 7:
  Compare -73 and -94
  Swap -73 and -94
  List after swap: [-94, -73, -55, -38, -33, -14, 60, 79]

Pass 8:
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -73, -55, -38, -33, -14, 60, 79]
</think>

<response>-94, -73, -55, -38, -33, -14, 60, 79</response>