input: Perform a bubble sort on the integers 62, -82, 33, 79, 86, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [62, -82, 33, 79, 86]

Pass 1:
  Compare 62 and -82
  Swap 62 and -82
  List after swap: [-82, 62, 33, 79, 86]
  Compare 62 and 33
  Swap 62 and 33
  List after swap: [-82, 33, 62, 79, 86]
  Compare 62 and 79
  No swap needed
  Compare 79 and 86
  No swap needed

Pass 2:
  Compare -82 and 33
  No swap needed
  Compare 33 and 62
  No swap needed
  Compare 62 and 79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, 33, 62, 79, 86]
</think>

<response>-82, 33, 62, 79, 86</response>


input: Using the bubble sort method, sort -91, 24, -35, 78, 81 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-91, 24, -35, 78, 81]

Pass 1:
  Compare -91 and 24
  No swap needed
  Compare 24 and -35
  Swap 24 and -35
  List after swap: [-91, -35, 24, 78, 81]
  Compare 24 and 78
  No swap needed
  Compare 78 and 81
  No swap needed

Pass 2:
  Compare -91 and -35
  No swap needed
  Compare -35 and 24
  No swap needed
  Compare 24 and 78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -35, 24, 78, 81]
</think>

<response>-91, -35, 24, 78, 81</response>


input: Carry out the bubble sort algorithm on 70, -67 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [70, -67]

Pass 1:
  Compare 70 and -67
  Swap 70 and -67
  List after swap: [-67, 70]

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

Final sorted list: [-67, 70]
</think>

<response>-67, 70</response>


input: Execute bubble sort to sort -76, 61 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-76, 61]

Pass 1:
  Compare -76 and 61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, 61]
</think>

<response>-76, 61</response>


input: Use the bubble sort technique to reorder 92, -73 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [92, -73]

Pass 1:
  Compare 92 and -73
  Swap 92 and -73
  List after swap: [-73, 92]

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

Final sorted list: [-73, 92]
</think>

<response>-73, 92</response>


input: Implement bubble sort on -73, 49, -5, 58, -59, -93, 51, 74, 71, 50 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-73, 49, -5, 58, -59, -93, 51, 74, 71, 50]

Pass 1:
  Compare -73 and 49
  No swap needed
  Compare 49 and -5
  Swap 49 and -5
  List after swap: [-73, -5, 49, 58, -59, -93, 51, 74, 71, 50]
  Compare 49 and 58
  No swap needed
  Compare 58 and -59
  Swap 58 and -59
  List after swap: [-73, -5, 49, -59, 58, -93, 51, 74, 71, 50]
  Compare 58 and -93
  Swap 58 and -93
  List after swap: [-73, -5, 49, -59, -93, 58, 51, 74, 71, 50]
  Compare 58 and 51
  Swap 58 and 51
  List after swap: [-73, -5, 49, -59, -93, 51, 58, 74, 71, 50]
  Compare 58 and 74
  No swap needed
  Compare 74 and 71
  Swap 74 and 71
  List after swap: [-73, -5, 49, -59, -93, 51, 58, 71, 74, 50]
  Compare 74 and 50
  Swap 74 and 50
  List after swap: [-73, -5, 49, -59, -93, 51, 58, 71, 50, 74]

Pass 2:
  Compare -73 and -5
  No swap needed
  Compare -5 and 49
  No swap needed
  Compare 49 and -59
  Swap 49 and -59
  List after swap: [-73, -5, -59, 49, -93, 51, 58, 71, 50, 74]
  Compare 49 and -93
  Swap 49 and -93
  List after swap: [-73, -5, -59, -93, 49, 51, 58, 71, 50, 74]
  Compare 49 and 51
  No swap needed
  Compare 51 and 58
  No swap needed
  Compare 58 and 71
  No swap needed
  Compare 71 and 50
  Swap 71 and 50
  List after swap: [-73, -5, -59, -93, 49, 51, 58, 50, 71, 74]

Pass 3:
  Compare -73 and -5
  No swap needed
  Compare -5 and -59
  Swap -5 and -59
  List after swap: [-73, -59, -5, -93, 49, 51, 58, 50, 71, 74]
  Compare -5 and -93
  Swap -5 and -93
  List after swap: [-73, -59, -93, -5, 49, 51, 58, 50, 71, 74]
  Compare -5 and 49
  No swap needed
  Compare 49 and 51
  No swap needed
  Compare 51 and 58
  No swap needed
  Compare 58 and 50
  Swap 58 and 50
  List after swap: [-73, -59, -93, -5, 49, 51, 50, 58, 71, 74]

Pass 4:
  Compare -73 and -59
  No swap needed
  Compare -59 and -93
  Swap -59 and -93
  List after swap: [-73, -93, -59, -5, 49, 51, 50, 58, 71, 74]
  Compare -59 and -5
  No swap needed
  Compare -5 and 49
  No swap needed
  Compare 49 and 51
  No swap needed
  Compare 51 and 50
  Swap 51 and 50
  List after swap: [-73, -93, -59, -5, 49, 50, 51, 58, 71, 74]

Pass 5:
  Compare -73 and -93
  Swap -73 and -93
  List after swap: [-93, -73, -59, -5, 49, 50, 51, 58, 71, 74]
  Compare -73 and -59
  No swap needed
  Compare -59 and -5
  No swap needed
  Compare -5 and 49
  No swap needed
  Compare 49 and 50
  No swap needed

Pass 6:
  Compare -93 and -73
  No swap needed
  Compare -73 and -59
  No swap needed
  Compare -59 and -5
  No swap needed
  Compare -5 and 49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -73, -59, -5, 49, 50, 51, 58, 71, 74]
</think>

<response>-93, -73, -59, -5, 49, 50, 51, 58, 71, 74</response>


input: Implement bubble sort on 5, 88, -15, 24, 49, -67, 84, 61 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [5, 88, -15, 24, 49, -67, 84, 61]

Pass 1:
  Compare 5 and 88
  No swap needed
  Compare 88 and -15
  Swap 88 and -15
  List after swap: [5, -15, 88, 24, 49, -67, 84, 61]
  Compare 88 and 24
  Swap 88 and 24
  List after swap: [5, -15, 24, 88, 49, -67, 84, 61]
  Compare 88 and 49
  Swap 88 and 49
  List after swap: [5, -15, 24, 49, 88, -67, 84, 61]
  Compare 88 and -67
  Swap 88 and -67
  List after swap: [5, -15, 24, 49, -67, 88, 84, 61]
  Compare 88 and 84
  Swap 88 and 84
  List after swap: [5, -15, 24, 49, -67, 84, 88, 61]
  Compare 88 and 61
  Swap 88 and 61
  List after swap: [5, -15, 24, 49, -67, 84, 61, 88]

Pass 2:
  Compare 5 and -15
  Swap 5 and -15
  List after swap: [-15, 5, 24, 49, -67, 84, 61, 88]
  Compare 5 and 24
  No swap needed
  Compare 24 and 49
  No swap needed
  Compare 49 and -67
  Swap 49 and -67
  List after swap: [-15, 5, 24, -67, 49, 84, 61, 88]
  Compare 49 and 84
  No swap needed
  Compare 84 and 61
  Swap 84 and 61
  List after swap: [-15, 5, 24, -67, 49, 61, 84, 88]

Pass 3:
  Compare -15 and 5
  No swap needed
  Compare 5 and 24
  No swap needed
  Compare 24 and -67
  Swap 24 and -67
  List after swap: [-15, 5, -67, 24, 49, 61, 84, 88]
  Compare 24 and 49
  No swap needed
  Compare 49 and 61
  No swap needed

Pass 4:
  Compare -15 and 5
  No swap needed
  Compare 5 and -67
  Swap 5 and -67
  List after swap: [-15, -67, 5, 24, 49, 61, 84, 88]
  Compare 5 and 24
  No swap needed
  Compare 24 and 49
  No swap needed

Pass 5:
  Compare -15 and -67
  Swap -15 and -67
  List after swap: [-67, -15, 5, 24, 49, 61, 84, 88]
  Compare -15 and 5
  No swap needed
  Compare 5 and 24
  No swap needed

Pass 6:
  Compare -67 and -15
  No swap needed
  Compare -15 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -15, 5, 24, 49, 61, 84, 88]
</think>

<response>-67, -15, 5, 24, 49, 61, 84, 88</response>


input: Implement bubble sort on 72, 67 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [72, 67]

Pass 1:
  Compare 72 and 67
  Swap 72 and 67
  List after swap: [67, 72]

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

Final sorted list: [67, 72]
</think>

<response>67, 72</response>


input: Demonstrate how bubble sort orders the integers 0, -84, 42, 6 in ascending sequence, showing all steps.

output:
<think>
Initial list: [0, -84, 42, 6]

Pass 1:
  Compare 0 and -84
  Swap 0 and -84
  List after swap: [-84, 0, 42, 6]
  Compare 0 and 42
  No swap needed
  Compare 42 and 6
  Swap 42 and 6
  List after swap: [-84, 0, 6, 42]

Pass 2:
  Compare -84 and 0
  No swap needed
  Compare 0 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, 0, 6, 42]
</think>

<response>-84, 0, 6, 42</response>


input: Carry out the bubble sort algorithm on 46, 19, -66, 63, 66 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [46, 19, -66, 63, 66]

Pass 1:
  Compare 46 and 19
  Swap 46 and 19
  List after swap: [19, 46, -66, 63, 66]
  Compare 46 and -66
  Swap 46 and -66
  List after swap: [19, -66, 46, 63, 66]
  Compare 46 and 63
  No swap needed
  Compare 63 and 66
  No swap needed

Pass 2:
  Compare 19 and -66
  Swap 19 and -66
  List after swap: [-66, 19, 46, 63, 66]
  Compare 19 and 46
  No swap needed
  Compare 46 and 63
  No swap needed

Pass 3:
  Compare -66 and 19
  No swap needed
  Compare 19 and 46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, 19, 46, 63, 66]
</think>

<response>-66, 19, 46, 63, 66</response>


input: Sort the list -10, 55, -25, -36, 13, -48, 89 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-10, 55, -25, -36, 13, -48, 89]

Pass 1:
  Compare -10 and 55
  No swap needed
  Compare 55 and -25
  Swap 55 and -25
  List after swap: [-10, -25, 55, -36, 13, -48, 89]
  Compare 55 and -36
  Swap 55 and -36
  List after swap: [-10, -25, -36, 55, 13, -48, 89]
  Compare 55 and 13
  Swap 55 and 13
  List after swap: [-10, -25, -36, 13, 55, -48, 89]
  Compare 55 and -48
  Swap 55 and -48
  List after swap: [-10, -25, -36, 13, -48, 55, 89]
  Compare 55 and 89
  No swap needed

Pass 2:
  Compare -10 and -25
  Swap -10 and -25
  List after swap: [-25, -10, -36, 13, -48, 55, 89]
  Compare -10 and -36
  Swap -10 and -36
  List after swap: [-25, -36, -10, 13, -48, 55, 89]
  Compare -10 and 13
  No swap needed
  Compare 13 and -48
  Swap 13 and -48
  List after swap: [-25, -36, -10, -48, 13, 55, 89]
  Compare 13 and 55
  No swap needed

Pass 3:
  Compare -25 and -36
  Swap -25 and -36
  List after swap: [-36, -25, -10, -48, 13, 55, 89]
  Compare -25 and -10
  No swap needed
  Compare -10 and -48
  Swap -10 and -48
  List after swap: [-36, -25, -48, -10, 13, 55, 89]
  Compare -10 and 13
  No swap needed

Pass 4:
  Compare -36 and -25
  No swap needed
  Compare -25 and -48
  Swap -25 and -48
  List after swap: [-36, -48, -25, -10, 13, 55, 89]
  Compare -25 and -10
  No swap needed

Pass 5:
  Compare -36 and -48
  Swap -36 and -48
  List after swap: [-48, -36, -25, -10, 13, 55, 89]
  Compare -36 and -25
  No swap needed

Pass 6:
  Compare -48 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-48, -36, -25, -10, 13, 55, 89]
</think>

<response>-48, -36, -25, -10, 13, 55, 89</response>


input: Arrange the numbers -25, -86, -59, -76, -78, -64, -79, -46, -47 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-25, -86, -59, -76, -78, -64, -79, -46, -47]

Pass 1:
  Compare -25 and -86
  Swap -25 and -86
  List after swap: [-86, -25, -59, -76, -78, -64, -79, -46, -47]
  Compare -25 and -59
  Swap -25 and -59
  List after swap: [-86, -59, -25, -76, -78, -64, -79, -46, -47]
  Compare -25 and -76
  Swap -25 and -76
  List after swap: [-86, -59, -76, -25, -78, -64, -79, -46, -47]
  Compare -25 and -78
  Swap -25 and -78
  List after swap: [-86, -59, -76, -78, -25, -64, -79, -46, -47]
  Compare -25 and -64
  Swap -25 and -64
  List after swap: [-86, -59, -76, -78, -64, -25, -79, -46, -47]
  Compare -25 and -79
  Swap -25 and -79
  List after swap: [-86, -59, -76, -78, -64, -79, -25, -46, -47]
  Compare -25 and -46
  Swap -25 and -46
  List after swap: [-86, -59, -76, -78, -64, -79, -46, -25, -47]
  Compare -25 and -47
  Swap -25 and -47
  List after swap: [-86, -59, -76, -78, -64, -79, -46, -47, -25]

Pass 2:
  Compare -86 and -59
  No swap needed
  Compare -59 and -76
  Swap -59 and -76
  List after swap: [-86, -76, -59, -78, -64, -79, -46, -47, -25]
  Compare -59 and -78
  Swap -59 and -78
  List after swap: [-86, -76, -78, -59, -64, -79, -46, -47, -25]
  Compare -59 and -64
  Swap -59 and -64
  List after swap: [-86, -76, -78, -64, -59, -79, -46, -47, -25]
  Compare -59 and -79
  Swap -59 and -79
  List after swap: [-86, -76, -78, -64, -79, -59, -46, -47, -25]
  Compare -59 and -46
  No swap needed
  Compare -46 and -47
  Swap -46 and -47
  List after swap: [-86, -76, -78, -64, -79, -59, -47, -46, -25]

Pass 3:
  Compare -86 and -76
  No swap needed
  Compare -76 and -78
  Swap -76 and -78
  List after swap: [-86, -78, -76, -64, -79, -59, -47, -46, -25]
  Compare -76 and -64
  No swap needed
  Compare -64 and -79
  Swap -64 and -79
  List after swap: [-86, -78, -76, -79, -64, -59, -47, -46, -25]
  Compare -64 and -59
  No swap needed
  Compare -59 and -47
  No swap needed

Pass 4:
  Compare -86 and -78
  No swap needed
  Compare -78 and -76
  No swap needed
  Compare -76 and -79
  Swap -76 and -79
  List after swap: [-86, -78, -79, -76, -64, -59, -47, -46, -25]
  Compare -76 and -64
  No swap needed
  Compare -64 and -59
  No swap needed

Pass 5:
  Compare -86 and -78
  No swap needed
  Compare -78 and -79
  Swap -78 and -79
  List after swap: [-86, -79, -78, -76, -64, -59, -47, -46, -25]
  Compare -78 and -76
  No swap needed
  Compare -76 and -64
  No swap needed

Pass 6:
  Compare -86 and -79
  No swap needed
  Compare -79 and -78
  No swap needed
  Compare -78 and -76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -79, -78, -76, -64, -59, -47, -46, -25]
</think>

<response>-86, -79, -78, -76, -64, -59, -47, -46, -25</response>


input: Execute bubble sort to sort 17, 74, 80, -71 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [17, 74, 80, -71]

Pass 1:
  Compare 17 and 74
  No swap needed
  Compare 74 and 80
  No swap needed
  Compare 80 and -71
  Swap 80 and -71
  List after swap: [17, 74, -71, 80]

Pass 2:
  Compare 17 and 74
  No swap needed
  Compare 74 and -71
  Swap 74 and -71
  List after swap: [17, -71, 74, 80]

Pass 3:
  Compare 17 and -71
  Swap 17 and -71
  List after swap: [-71, 17, 74, 80]

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

Final sorted list: [-71, 17, 74, 80]
</think>

<response>-71, 17, 74, 80</response>


input: Carry out the bubble sort algorithm on 81, -1, 59, 36, -79, -66, 27, -58 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [81, -1, 59, 36, -79, -66, 27, -58]

Pass 1:
  Compare 81 and -1
  Swap 81 and -1
  List after swap: [-1, 81, 59, 36, -79, -66, 27, -58]
  Compare 81 and 59
  Swap 81 and 59
  List after swap: [-1, 59, 81, 36, -79, -66, 27, -58]
  Compare 81 and 36
  Swap 81 and 36
  List after swap: [-1, 59, 36, 81, -79, -66, 27, -58]
  Compare 81 and -79
  Swap 81 and -79
  List after swap: [-1, 59, 36, -79, 81, -66, 27, -58]
  Compare 81 and -66
  Swap 81 and -66
  List after swap: [-1, 59, 36, -79, -66, 81, 27, -58]
  Compare 81 and 27
  Swap 81 and 27
  List after swap: [-1, 59, 36, -79, -66, 27, 81, -58]
  Compare 81 and -58
  Swap 81 and -58
  List after swap: [-1, 59, 36, -79, -66, 27, -58, 81]

Pass 2:
  Compare -1 and 59
  No swap needed
  Compare 59 and 36
  Swap 59 and 36
  List after swap: [-1, 36, 59, -79, -66, 27, -58, 81]
  Compare 59 and -79
  Swap 59 and -79
  List after swap: [-1, 36, -79, 59, -66, 27, -58, 81]
  Compare 59 and -66
  Swap 59 and -66
  List after swap: [-1, 36, -79, -66, 59, 27, -58, 81]
  Compare 59 and 27
  Swap 59 and 27
  List after swap: [-1, 36, -79, -66, 27, 59, -58, 81]
  Compare 59 and -58
  Swap 59 and -58
  List after swap: [-1, 36, -79, -66, 27, -58, 59, 81]

Pass 3:
  Compare -1 and 36
  No swap needed
  Compare 36 and -79
  Swap 36 and -79
  List after swap: [-1, -79, 36, -66, 27, -58, 59, 81]
  Compare 36 and -66
  Swap 36 and -66
  List after swap: [-1, -79, -66, 36, 27, -58, 59, 81]
  Compare 36 and 27
  Swap 36 and 27
  List after swap: [-1, -79, -66, 27, 36, -58, 59, 81]
  Compare 36 and -58
  Swap 36 and -58
  List after swap: [-1, -79, -66, 27, -58, 36, 59, 81]

Pass 4:
  Compare -1 and -79
  Swap -1 and -79
  List after swap: [-79, -1, -66, 27, -58, 36, 59, 81]
  Compare -1 and -66
  Swap -1 and -66
  List after swap: [-79, -66, -1, 27, -58, 36, 59, 81]
  Compare -1 and 27
  No swap needed
  Compare 27 and -58
  Swap 27 and -58
  List after swap: [-79, -66, -1, -58, 27, 36, 59, 81]

Pass 5:
  Compare -79 and -66
  No swap needed
  Compare -66 and -1
  No swap needed
  Compare -1 and -58
  Swap -1 and -58
  List after swap: [-79, -66, -58, -1, 27, 36, 59, 81]

Pass 6:
  Compare -79 and -66
  No swap needed
  Compare -66 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -66, -58, -1, 27, 36, 59, 81]
</think>

<response>-79, -66, -58, -1, 27, 36, 59, 81</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 69, 45, -83, -33, 94, -11, 24, 49.

output:
<think>
Initial list: [69, 45, -83, -33, 94, -11, 24, 49]

Pass 1:
  Compare 69 and 45
  Swap 69 and 45
  List after swap: [45, 69, -83, -33, 94, -11, 24, 49]
  Compare 69 and -83
  Swap 69 and -83
  List after swap: [45, -83, 69, -33, 94, -11, 24, 49]
  Compare 69 and -33
  Swap 69 and -33
  List after swap: [45, -83, -33, 69, 94, -11, 24, 49]
  Compare 69 and 94
  No swap needed
  Compare 94 and -11
  Swap 94 and -11
  List after swap: [45, -83, -33, 69, -11, 94, 24, 49]
  Compare 94 and 24
  Swap 94 and 24
  List after swap: [45, -83, -33, 69, -11, 24, 94, 49]
  Compare 94 and 49
  Swap 94 and 49
  List after swap: [45, -83, -33, 69, -11, 24, 49, 94]

Pass 2:
  Compare 45 and -83
  Swap 45 and -83
  List after swap: [-83, 45, -33, 69, -11, 24, 49, 94]
  Compare 45 and -33
  Swap 45 and -33
  List after swap: [-83, -33, 45, 69, -11, 24, 49, 94]
  Compare 45 and 69
  No swap needed
  Compare 69 and -11
  Swap 69 and -11
  List after swap: [-83, -33, 45, -11, 69, 24, 49, 94]
  Compare 69 and 24
  Swap 69 and 24
  List after swap: [-83, -33, 45, -11, 24, 69, 49, 94]
  Compare 69 and 49
  Swap 69 and 49
  List after swap: [-83, -33, 45, -11, 24, 49, 69, 94]

Pass 3:
  Compare -83 and -33
  No swap needed
  Compare -33 and 45
  No swap needed
  Compare 45 and -11
  Swap 45 and -11
  List after swap: [-83, -33, -11, 45, 24, 49, 69, 94]
  Compare 45 and 24
  Swap 45 and 24
  List after swap: [-83, -33, -11, 24, 45, 49, 69, 94]
  Compare 45 and 49
  No swap needed

Pass 4:
  Compare -83 and -33
  No swap needed
  Compare -33 and -11
  No swap needed
  Compare -11 and 24
  No swap needed
  Compare 24 and 45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -33, -11, 24, 45, 49, 69, 94]
</think>

<response>-83, -33, -11, 24, 45, 49, 69, 94</response>


input: Sort the list -36, 41, -97, -31, 5, -13, 73 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-36, 41, -97, -31, 5, -13, 73]

Pass 1:
  Compare -36 and 41
  No swap needed
  Compare 41 and -97
  Swap 41 and -97
  List after swap: [-36, -97, 41, -31, 5, -13, 73]
  Compare 41 and -31
  Swap 41 and -31
  List after swap: [-36, -97, -31, 41, 5, -13, 73]
  Compare 41 and 5
  Swap 41 and 5
  List after swap: [-36, -97, -31, 5, 41, -13, 73]
  Compare 41 and -13
  Swap 41 and -13
  List after swap: [-36, -97, -31, 5, -13, 41, 73]
  Compare 41 and 73
  No swap needed

Pass 2:
  Compare -36 and -97
  Swap -36 and -97
  List after swap: [-97, -36, -31, 5, -13, 41, 73]
  Compare -36 and -31
  No swap needed
  Compare -31 and 5
  No swap needed
  Compare 5 and -13
  Swap 5 and -13
  List after swap: [-97, -36, -31, -13, 5, 41, 73]
  Compare 5 and 41
  No swap needed

Pass 3:
  Compare -97 and -36
  No swap needed
  Compare -36 and -31
  No swap needed
  Compare -31 and -13
  No swap needed
  Compare -13 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -36, -31, -13, 5, 41, 73]
</think>

<response>-97, -36, -31, -13, 5, 41, 73</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -23, -31, -22, -86, 70, -30, -9, -55.

output:
<think>
Initial list: [-23, -31, -22, -86, 70, -30, -9, -55]

Pass 1:
  Compare -23 and -31
  Swap -23 and -31
  List after swap: [-31, -23, -22, -86, 70, -30, -9, -55]
  Compare -23 and -22
  No swap needed
  Compare -22 and -86
  Swap -22 and -86
  List after swap: [-31, -23, -86, -22, 70, -30, -9, -55]
  Compare -22 and 70
  No swap needed
  Compare 70 and -30
  Swap 70 and -30
  List after swap: [-31, -23, -86, -22, -30, 70, -9, -55]
  Compare 70 and -9
  Swap 70 and -9
  List after swap: [-31, -23, -86, -22, -30, -9, 70, -55]
  Compare 70 and -55
  Swap 70 and -55
  List after swap: [-31, -23, -86, -22, -30, -9, -55, 70]

Pass 2:
  Compare -31 and -23
  No swap needed
  Compare -23 and -86
  Swap -23 and -86
  List after swap: [-31, -86, -23, -22, -30, -9, -55, 70]
  Compare -23 and -22
  No swap needed
  Compare -22 and -30
  Swap -22 and -30
  List after swap: [-31, -86, -23, -30, -22, -9, -55, 70]
  Compare -22 and -9
  No swap needed
  Compare -9 and -55
  Swap -9 and -55
  List after swap: [-31, -86, -23, -30, -22, -55, -9, 70]

Pass 3:
  Compare -31 and -86
  Swap -31 and -86
  List after swap: [-86, -31, -23, -30, -22, -55, -9, 70]
  Compare -31 and -23
  No swap needed
  Compare -23 and -30
  Swap -23 and -30
  List after swap: [-86, -31, -30, -23, -22, -55, -9, 70]
  Compare -23 and -22
  No swap needed
  Compare -22 and -55
  Swap -22 and -55
  List after swap: [-86, -31, -30, -23, -55, -22, -9, 70]

Pass 4:
  Compare -86 and -31
  No swap needed
  Compare -31 and -30
  No swap needed
  Compare -30 and -23
  No swap needed
  Compare -23 and -55
  Swap -23 and -55
  List after swap: [-86, -31, -30, -55, -23, -22, -9, 70]

Pass 5:
  Compare -86 and -31
  No swap needed
  Compare -31 and -30
  No swap needed
  Compare -30 and -55
  Swap -30 and -55
  List after swap: [-86, -31, -55, -30, -23, -22, -9, 70]

Pass 6:
  Compare -86 and -31
  No swap needed
  Compare -31 and -55
  Swap -31 and -55
  List after swap: [-86, -55, -31, -30, -23, -22, -9, 70]

Pass 7:
  Compare -86 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -55, -31, -30, -23, -22, -9, 70]
</think>

<response>-86, -55, -31, -30, -23, -22, -9, 70</response>


input: Sort these integers -42, 30 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-42, 30]

Pass 1:
  Compare -42 and 30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-42, 30]
</think>

<response>-42, 30</response>


input: Carry out the bubble sort algorithm on 24, -69, 46, -97, -47, -23 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [24, -69, 46, -97, -47, -23]

Pass 1:
  Compare 24 and -69
  Swap 24 and -69
  List after swap: [-69, 24, 46, -97, -47, -23]
  Compare 24 and 46
  No swap needed
  Compare 46 and -97
  Swap 46 and -97
  List after swap: [-69, 24, -97, 46, -47, -23]
  Compare 46 and -47
  Swap 46 and -47
  List after swap: [-69, 24, -97, -47, 46, -23]
  Compare 46 and -23
  Swap 46 and -23
  List after swap: [-69, 24, -97, -47, -23, 46]

Pass 2:
  Compare -69 and 24
  No swap needed
  Compare 24 and -97
  Swap 24 and -97
  List after swap: [-69, -97, 24, -47, -23, 46]
  Compare 24 and -47
  Swap 24 and -47
  List after swap: [-69, -97, -47, 24, -23, 46]
  Compare 24 and -23
  Swap 24 and -23
  List after swap: [-69, -97, -47, -23, 24, 46]

Pass 3:
  Compare -69 and -97
  Swap -69 and -97
  List after swap: [-97, -69, -47, -23, 24, 46]
  Compare -69 and -47
  No swap needed
  Compare -47 and -23
  No swap needed

Pass 4:
  Compare -97 and -69
  No swap needed
  Compare -69 and -47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -69, -47, -23, 24, 46]
</think>

<response>-97, -69, -47, -23, 24, 46</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 28, -24, -19, -39, 44.

output:
<think>
Initial list: [28, -24, -19, -39, 44]

Pass 1:
  Compare 28 and -24
  Swap 28 and -24
  List after swap: [-24, 28, -19, -39, 44]
  Compare 28 and -19
  Swap 28 and -19
  List after swap: [-24, -19, 28, -39, 44]
  Compare 28 and -39
  Swap 28 and -39
  List after swap: [-24, -19, -39, 28, 44]
  Compare 28 and 44
  No swap needed

Pass 2:
  Compare -24 and -19
  No swap needed
  Compare -19 and -39
  Swap -19 and -39
  List after swap: [-24, -39, -19, 28, 44]
  Compare -19 and 28
  No swap needed

Pass 3:
  Compare -24 and -39
  Swap -24 and -39
  List after swap: [-39, -24, -19, 28, 44]
  Compare -24 and -19
  No swap needed

Pass 4:
  Compare -39 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-39, -24, -19, 28, 44]
</think>

<response>-39, -24, -19, 28, 44</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 59, -64, -81, -5, 37.

output:
<think>
Initial list: [59, -64, -81, -5, 37]

Pass 1:
  Compare 59 and -64
  Swap 59 and -64
  List after swap: [-64, 59, -81, -5, 37]
  Compare 59 and -81
  Swap 59 and -81
  List after swap: [-64, -81, 59, -5, 37]
  Compare 59 and -5
  Swap 59 and -5
  List after swap: [-64, -81, -5, 59, 37]
  Compare 59 and 37
  Swap 59 and 37
  List after swap: [-64, -81, -5, 37, 59]

Pass 2:
  Compare -64 and -81
  Swap -64 and -81
  List after swap: [-81, -64, -5, 37, 59]
  Compare -64 and -5
  No swap needed
  Compare -5 and 37
  No swap needed

Pass 3:
  Compare -81 and -64
  No swap needed
  Compare -64 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -64, -5, 37, 59]
</think>

<response>-81, -64, -5, 37, 59</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 43, 28, 51, -64, -79, -73, 42, 52.

output:
<think>
Initial list: [43, 28, 51, -64, -79, -73, 42, 52]

Pass 1:
  Compare 43 and 28
  Swap 43 and 28
  List after swap: [28, 43, 51, -64, -79, -73, 42, 52]
  Compare 43 and 51
  No swap needed
  Compare 51 and -64
  Swap 51 and -64
  List after swap: [28, 43, -64, 51, -79, -73, 42, 52]
  Compare 51 and -79
  Swap 51 and -79
  List after swap: [28, 43, -64, -79, 51, -73, 42, 52]
  Compare 51 and -73
  Swap 51 and -73
  List after swap: [28, 43, -64, -79, -73, 51, 42, 52]
  Compare 51 and 42
  Swap 51 and 42
  List after swap: [28, 43, -64, -79, -73, 42, 51, 52]
  Compare 51 and 52
  No swap needed

Pass 2:
  Compare 28 and 43
  No swap needed
  Compare 43 and -64
  Swap 43 and -64
  List after swap: [28, -64, 43, -79, -73, 42, 51, 52]
  Compare 43 and -79
  Swap 43 and -79
  List after swap: [28, -64, -79, 43, -73, 42, 51, 52]
  Compare 43 and -73
  Swap 43 and -73
  List after swap: [28, -64, -79, -73, 43, 42, 51, 52]
  Compare 43 and 42
  Swap 43 and 42
  List after swap: [28, -64, -79, -73, 42, 43, 51, 52]
  Compare 43 and 51
  No swap needed

Pass 3:
  Compare 28 and -64
  Swap 28 and -64
  List after swap: [-64, 28, -79, -73, 42, 43, 51, 52]
  Compare 28 and -79
  Swap 28 and -79
  List after swap: [-64, -79, 28, -73, 42, 43, 51, 52]
  Compare 28 and -73
  Swap 28 and -73
  List after swap: [-64, -79, -73, 28, 42, 43, 51, 52]
  Compare 28 and 42
  No swap needed
  Compare 42 and 43
  No swap needed

Pass 4:
  Compare -64 and -79
  Swap -64 and -79
  List after swap: [-79, -64, -73, 28, 42, 43, 51, 52]
  Compare -64 and -73
  Swap -64 and -73
  List after swap: [-79, -73, -64, 28, 42, 43, 51, 52]
  Compare -64 and 28
  No swap needed
  Compare 28 and 42
  No swap needed

Pass 5:
  Compare -79 and -73
  No swap needed
  Compare -73 and -64
  No swap needed
  Compare -64 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -73, -64, 28, 42, 43, 51, 52]
</think>

<response>-79, -73, -64, 28, 42, 43, 51, 52</response>


input: Using the bubble sort method, sort -40, -46, -53, 4, 73, 78, -2, 65, -9, 58 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-40, -46, -53, 4, 73, 78, -2, 65, -9, 58]

Pass 1:
  Compare -40 and -46
  Swap -40 and -46
  List after swap: [-46, -40, -53, 4, 73, 78, -2, 65, -9, 58]
  Compare -40 and -53
  Swap -40 and -53
  List after swap: [-46, -53, -40, 4, 73, 78, -2, 65, -9, 58]
  Compare -40 and 4
  No swap needed
  Compare 4 and 73
  No swap needed
  Compare 73 and 78
  No swap needed
  Compare 78 and -2
  Swap 78 and -2
  List after swap: [-46, -53, -40, 4, 73, -2, 78, 65, -9, 58]
  Compare 78 and 65
  Swap 78 and 65
  List after swap: [-46, -53, -40, 4, 73, -2, 65, 78, -9, 58]
  Compare 78 and -9
  Swap 78 and -9
  List after swap: [-46, -53, -40, 4, 73, -2, 65, -9, 78, 58]
  Compare 78 and 58
  Swap 78 and 58
  List after swap: [-46, -53, -40, 4, 73, -2, 65, -9, 58, 78]

Pass 2:
  Compare -46 and -53
  Swap -46 and -53
  List after swap: [-53, -46, -40, 4, 73, -2, 65, -9, 58, 78]
  Compare -46 and -40
  No swap needed
  Compare -40 and 4
  No swap needed
  Compare 4 and 73
  No swap needed
  Compare 73 and -2
  Swap 73 and -2
  List after swap: [-53, -46, -40, 4, -2, 73, 65, -9, 58, 78]
  Compare 73 and 65
  Swap 73 and 65
  List after swap: [-53, -46, -40, 4, -2, 65, 73, -9, 58, 78]
  Compare 73 and -9
  Swap 73 and -9
  List after swap: [-53, -46, -40, 4, -2, 65, -9, 73, 58, 78]
  Compare 73 and 58
  Swap 73 and 58
  List after swap: [-53, -46, -40, 4, -2, 65, -9, 58, 73, 78]

Pass 3:
  Compare -53 and -46
  No swap needed
  Compare -46 and -40
  No swap needed
  Compare -40 and 4
  No swap needed
  Compare 4 and -2
  Swap 4 and -2
  List after swap: [-53, -46, -40, -2, 4, 65, -9, 58, 73, 78]
  Compare 4 and 65
  No swap needed
  Compare 65 and -9
  Swap 65 and -9
  List after swap: [-53, -46, -40, -2, 4, -9, 65, 58, 73, 78]
  Compare 65 and 58
  Swap 65 and 58
  List after swap: [-53, -46, -40, -2, 4, -9, 58, 65, 73, 78]

Pass 4:
  Compare -53 and -46
  No swap needed
  Compare -46 and -40
  No swap needed
  Compare -40 and -2
  No swap needed
  Compare -2 and 4
  No swap needed
  Compare 4 and -9
  Swap 4 and -9
  List after swap: [-53, -46, -40, -2, -9, 4, 58, 65, 73, 78]
  Compare 4 and 58
  No swap needed

Pass 5:
  Compare -53 and -46
  No swap needed
  Compare -46 and -40
  No swap needed
  Compare -40 and -2
  No swap needed
  Compare -2 and -9
  Swap -2 and -9
  List after swap: [-53, -46, -40, -9, -2, 4, 58, 65, 73, 78]
  Compare -2 and 4
  No swap needed

Pass 6:
  Compare -53 and -46
  No swap needed
  Compare -46 and -40
  No swap needed
  Compare -40 and -9
  No swap needed
  Compare -9 and -2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-53, -46, -40, -9, -2, 4, 58, 65, 73, 78]
</think>

<response>-53, -46, -40, -9, -2, 4, 58, 65, 73, 78</response>


input: Sort these integers -36, 37 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-36, 37]

Pass 1:
  Compare -36 and 37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-36, 37]
</think>

<response>-36, 37</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -57, -39, 6, -42.

output:
<think>
Initial list: [-57, -39, 6, -42]

Pass 1:
  Compare -57 and -39
  No swap needed
  Compare -39 and 6
  No swap needed
  Compare 6 and -42
  Swap 6 and -42
  List after swap: [-57, -39, -42, 6]

Pass 2:
  Compare -57 and -39
  No swap needed
  Compare -39 and -42
  Swap -39 and -42
  List after swap: [-57, -42, -39, 6]

Pass 3:
  Compare -57 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -42, -39, 6]
</think>

<response>-57, -42, -39, 6</response>


input: Sort the list -98, 27, -46, 93, 5 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-98, 27, -46, 93, 5]

Pass 1:
  Compare -98 and 27
  No swap needed
  Compare 27 and -46
  Swap 27 and -46
  List after swap: [-98, -46, 27, 93, 5]
  Compare 27 and 93
  No swap needed
  Compare 93 and 5
  Swap 93 and 5
  List after swap: [-98, -46, 27, 5, 93]

Pass 2:
  Compare -98 and -46
  No swap needed
  Compare -46 and 27
  No swap needed
  Compare 27 and 5
  Swap 27 and 5
  List after swap: [-98, -46, 5, 27, 93]

Pass 3:
  Compare -98 and -46
  No swap needed
  Compare -46 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -46, 5, 27, 93]
</think>

<response>-98, -46, 5, 27, 93</response>


input: Use the bubble sort technique to reorder -94, 5 into ascending order, and write down each step of the procedure.

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

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

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

<response>-94, 5</response>


input: Sort the list 9, -72, -27, -47, -37, -41, -95, 35 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [9, -72, -27, -47, -37, -41, -95, 35]

Pass 1:
  Compare 9 and -72
  Swap 9 and -72
  List after swap: [-72, 9, -27, -47, -37, -41, -95, 35]
  Compare 9 and -27
  Swap 9 and -27
  List after swap: [-72, -27, 9, -47, -37, -41, -95, 35]
  Compare 9 and -47
  Swap 9 and -47
  List after swap: [-72, -27, -47, 9, -37, -41, -95, 35]
  Compare 9 and -37
  Swap 9 and -37
  List after swap: [-72, -27, -47, -37, 9, -41, -95, 35]
  Compare 9 and -41
  Swap 9 and -41
  List after swap: [-72, -27, -47, -37, -41, 9, -95, 35]
  Compare 9 and -95
  Swap 9 and -95
  List after swap: [-72, -27, -47, -37, -41, -95, 9, 35]
  Compare 9 and 35
  No swap needed

Pass 2:
  Compare -72 and -27
  No swap needed
  Compare -27 and -47
  Swap -27 and -47
  List after swap: [-72, -47, -27, -37, -41, -95, 9, 35]
  Compare -27 and -37
  Swap -27 and -37
  List after swap: [-72, -47, -37, -27, -41, -95, 9, 35]
  Compare -27 and -41
  Swap -27 and -41
  List after swap: [-72, -47, -37, -41, -27, -95, 9, 35]
  Compare -27 and -95
  Swap -27 and -95
  List after swap: [-72, -47, -37, -41, -95, -27, 9, 35]
  Compare -27 and 9
  No swap needed

Pass 3:
  Compare -72 and -47
  No swap needed
  Compare -47 and -37
  No swap needed
  Compare -37 and -41
  Swap -37 and -41
  List after swap: [-72, -47, -41, -37, -95, -27, 9, 35]
  Compare -37 and -95
  Swap -37 and -95
  List after swap: [-72, -47, -41, -95, -37, -27, 9, 35]
  Compare -37 and -27
  No swap needed

Pass 4:
  Compare -72 and -47
  No swap needed
  Compare -47 and -41
  No swap needed
  Compare -41 and -95
  Swap -41 and -95
  List after swap: [-72, -47, -95, -41, -37, -27, 9, 35]
  Compare -41 and -37
  No swap needed

Pass 5:
  Compare -72 and -47
  No swap needed
  Compare -47 and -95
  Swap -47 and -95
  List after swap: [-72, -95, -47, -41, -37, -27, 9, 35]
  Compare -47 and -41
  No swap needed

Pass 6:
  Compare -72 and -95
  Swap -72 and -95
  List after swap: [-95, -72, -47, -41, -37, -27, 9, 35]
  Compare -72 and -47
  No swap needed

Pass 7:
  Compare -95 and -72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -72, -47, -41, -37, -27, 9, 35]
</think>

<response>-95, -72, -47, -41, -37, -27, 9, 35</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -71, 50, 23, -60, -23.

output:
<think>
Initial list: [-71, 50, 23, -60, -23]

Pass 1:
  Compare -71 and 50
  No swap needed
  Compare 50 and 23
  Swap 50 and 23
  List after swap: [-71, 23, 50, -60, -23]
  Compare 50 and -60
  Swap 50 and -60
  List after swap: [-71, 23, -60, 50, -23]
  Compare 50 and -23
  Swap 50 and -23
  List after swap: [-71, 23, -60, -23, 50]

Pass 2:
  Compare -71 and 23
  No swap needed
  Compare 23 and -60
  Swap 23 and -60
  List after swap: [-71, -60, 23, -23, 50]
  Compare 23 and -23
  Swap 23 and -23
  List after swap: [-71, -60, -23, 23, 50]

Pass 3:
  Compare -71 and -60
  No swap needed
  Compare -60 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -60, -23, 23, 50]
</think>

<response>-71, -60, -23, 23, 50</response>


input: Demonstrate how bubble sort orders the integers -10, 87, -23, -84 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-10, 87, -23, -84]

Pass 1:
  Compare -10 and 87
  No swap needed
  Compare 87 and -23
  Swap 87 and -23
  List after swap: [-10, -23, 87, -84]
  Compare 87 and -84
  Swap 87 and -84
  List after swap: [-10, -23, -84, 87]

Pass 2:
  Compare -10 and -23
  Swap -10 and -23
  List after swap: [-23, -10, -84, 87]
  Compare -10 and -84
  Swap -10 and -84
  List after swap: [-23, -84, -10, 87]

Pass 3:
  Compare -23 and -84
  Swap -23 and -84
  List after swap: [-84, -23, -10, 87]

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

Final sorted list: [-84, -23, -10, 87]
</think>

<response>-84, -23, -10, 87</response>


input: Using the bubble sort method, sort -25, -15, -36, 84, 59, -4 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-25, -15, -36, 84, 59, -4]

Pass 1:
  Compare -25 and -15
  No swap needed
  Compare -15 and -36
  Swap -15 and -36
  List after swap: [-25, -36, -15, 84, 59, -4]
  Compare -15 and 84
  No swap needed
  Compare 84 and 59
  Swap 84 and 59
  List after swap: [-25, -36, -15, 59, 84, -4]
  Compare 84 and -4
  Swap 84 and -4
  List after swap: [-25, -36, -15, 59, -4, 84]

Pass 2:
  Compare -25 and -36
  Swap -25 and -36
  List after swap: [-36, -25, -15, 59, -4, 84]
  Compare -25 and -15
  No swap needed
  Compare -15 and 59
  No swap needed
  Compare 59 and -4
  Swap 59 and -4
  List after swap: [-36, -25, -15, -4, 59, 84]

Pass 3:
  Compare -36 and -25
  No swap needed
  Compare -25 and -15
  No swap needed
  Compare -15 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-36, -25, -15, -4, 59, 84]
</think>

<response>-36, -25, -15, -4, 59, 84</response>


input: Arrange the numbers -21, 46, 95, -35, -28 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-21, 46, 95, -35, -28]

Pass 1:
  Compare -21 and 46
  No swap needed
  Compare 46 and 95
  No swap needed
  Compare 95 and -35
  Swap 95 and -35
  List after swap: [-21, 46, -35, 95, -28]
  Compare 95 and -28
  Swap 95 and -28
  List after swap: [-21, 46, -35, -28, 95]

Pass 2:
  Compare -21 and 46
  No swap needed
  Compare 46 and -35
  Swap 46 and -35
  List after swap: [-21, -35, 46, -28, 95]
  Compare 46 and -28
  Swap 46 and -28
  List after swap: [-21, -35, -28, 46, 95]

Pass 3:
  Compare -21 and -35
  Swap -21 and -35
  List after swap: [-35, -21, -28, 46, 95]
  Compare -21 and -28
  Swap -21 and -28
  List after swap: [-35, -28, -21, 46, 95]

Pass 4:
  Compare -35 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-35, -28, -21, 46, 95]
</think>

<response>-35, -28, -21, 46, 95</response>


input: Implement bubble sort on 82, 58, 76, -99, -14, -81, 67, -85, -83 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [82, 58, 76, -99, -14, -81, 67, -85, -83]

Pass 1:
  Compare 82 and 58
  Swap 82 and 58
  List after swap: [58, 82, 76, -99, -14, -81, 67, -85, -83]
  Compare 82 and 76
  Swap 82 and 76
  List after swap: [58, 76, 82, -99, -14, -81, 67, -85, -83]
  Compare 82 and -99
  Swap 82 and -99
  List after swap: [58, 76, -99, 82, -14, -81, 67, -85, -83]
  Compare 82 and -14
  Swap 82 and -14
  List after swap: [58, 76, -99, -14, 82, -81, 67, -85, -83]
  Compare 82 and -81
  Swap 82 and -81
  List after swap: [58, 76, -99, -14, -81, 82, 67, -85, -83]
  Compare 82 and 67
  Swap 82 and 67
  List after swap: [58, 76, -99, -14, -81, 67, 82, -85, -83]
  Compare 82 and -85
  Swap 82 and -85
  List after swap: [58, 76, -99, -14, -81, 67, -85, 82, -83]
  Compare 82 and -83
  Swap 82 and -83
  List after swap: [58, 76, -99, -14, -81, 67, -85, -83, 82]

Pass 2:
  Compare 58 and 76
  No swap needed
  Compare 76 and -99
  Swap 76 and -99
  List after swap: [58, -99, 76, -14, -81, 67, -85, -83, 82]
  Compare 76 and -14
  Swap 76 and -14
  List after swap: [58, -99, -14, 76, -81, 67, -85, -83, 82]
  Compare 76 and -81
  Swap 76 and -81
  List after swap: [58, -99, -14, -81, 76, 67, -85, -83, 82]
  Compare 76 and 67
  Swap 76 and 67
  List after swap: [58, -99, -14, -81, 67, 76, -85, -83, 82]
  Compare 76 and -85
  Swap 76 and -85
  List after swap: [58, -99, -14, -81, 67, -85, 76, -83, 82]
  Compare 76 and -83
  Swap 76 and -83
  List after swap: [58, -99, -14, -81, 67, -85, -83, 76, 82]

Pass 3:
  Compare 58 and -99
  Swap 58 and -99
  List after swap: [-99, 58, -14, -81, 67, -85, -83, 76, 82]
  Compare 58 and -14
  Swap 58 and -14
  List after swap: [-99, -14, 58, -81, 67, -85, -83, 76, 82]
  Compare 58 and -81
  Swap 58 and -81
  List after swap: [-99, -14, -81, 58, 67, -85, -83, 76, 82]
  Compare 58 and 67
  No swap needed
  Compare 67 and -85
  Swap 67 and -85
  List after swap: [-99, -14, -81, 58, -85, 67, -83, 76, 82]
  Compare 67 and -83
  Swap 67 and -83
  List after swap: [-99, -14, -81, 58, -85, -83, 67, 76, 82]

Pass 4:
  Compare -99 and -14
  No swap needed
  Compare -14 and -81
  Swap -14 and -81
  List after swap: [-99, -81, -14, 58, -85, -83, 67, 76, 82]
  Compare -14 and 58
  No swap needed
  Compare 58 and -85
  Swap 58 and -85
  List after swap: [-99, -81, -14, -85, 58, -83, 67, 76, 82]
  Compare 58 and -83
  Swap 58 and -83
  List after swap: [-99, -81, -14, -85, -83, 58, 67, 76, 82]

Pass 5:
  Compare -99 and -81
  No swap needed
  Compare -81 and -14
  No swap needed
  Compare -14 and -85
  Swap -14 and -85
  List after swap: [-99, -81, -85, -14, -83, 58, 67, 76, 82]
  Compare -14 and -83
  Swap -14 and -83
  List after swap: [-99, -81, -85, -83, -14, 58, 67, 76, 82]

Pass 6:
  Compare -99 and -81
  No swap needed
  Compare -81 and -85
  Swap -81 and -85
  List after swap: [-99, -85, -81, -83, -14, 58, 67, 76, 82]
  Compare -81 and -83
  Swap -81 and -83
  List after swap: [-99, -85, -83, -81, -14, 58, 67, 76, 82]

Pass 7:
  Compare -99 and -85
  No swap needed
  Compare -85 and -83
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -85, -83, -81, -14, 58, 67, 76, 82]
</think>

<response>-99, -85, -83, -81, -14, 58, 67, 76, 82</response>


input: Using the bubble sort method, sort -36, 78, -78, 87, 3, -72, 51, 16 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-36, 78, -78, 87, 3, -72, 51, 16]

Pass 1:
  Compare -36 and 78
  No swap needed
  Compare 78 and -78
  Swap 78 and -78
  List after swap: [-36, -78, 78, 87, 3, -72, 51, 16]
  Compare 78 and 87
  No swap needed
  Compare 87 and 3
  Swap 87 and 3
  List after swap: [-36, -78, 78, 3, 87, -72, 51, 16]
  Compare 87 and -72
  Swap 87 and -72
  List after swap: [-36, -78, 78, 3, -72, 87, 51, 16]
  Compare 87 and 51
  Swap 87 and 51
  List after swap: [-36, -78, 78, 3, -72, 51, 87, 16]
  Compare 87 and 16
  Swap 87 and 16
  List after swap: [-36, -78, 78, 3, -72, 51, 16, 87]

Pass 2:
  Compare -36 and -78
  Swap -36 and -78
  List after swap: [-78, -36, 78, 3, -72, 51, 16, 87]
  Compare -36 and 78
  No swap needed
  Compare 78 and 3
  Swap 78 and 3
  List after swap: [-78, -36, 3, 78, -72, 51, 16, 87]
  Compare 78 and -72
  Swap 78 and -72
  List after swap: [-78, -36, 3, -72, 78, 51, 16, 87]
  Compare 78 and 51
  Swap 78 and 51
  List after swap: [-78, -36, 3, -72, 51, 78, 16, 87]
  Compare 78 and 16
  Swap 78 and 16
  List after swap: [-78, -36, 3, -72, 51, 16, 78, 87]

Pass 3:
  Compare -78 and -36
  No swap needed
  Compare -36 and 3
  No swap needed
  Compare 3 and -72
  Swap 3 and -72
  List after swap: [-78, -36, -72, 3, 51, 16, 78, 87]
  Compare 3 and 51
  No swap needed
  Compare 51 and 16
  Swap 51 and 16
  List after swap: [-78, -36, -72, 3, 16, 51, 78, 87]

Pass 4:
  Compare -78 and -36
  No swap needed
  Compare -36 and -72
  Swap -36 and -72
  List after swap: [-78, -72, -36, 3, 16, 51, 78, 87]
  Compare -36 and 3
  No swap needed
  Compare 3 and 16
  No swap needed

Pass 5:
  Compare -78 and -72
  No swap needed
  Compare -72 and -36
  No swap needed
  Compare -36 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -72, -36, 3, 16, 51, 78, 87]
</think>

<response>-78, -72, -36, 3, 16, 51, 78, 87</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 25, 0, -72, 73, 26.

output:
<think>
Initial list: [25, 0, -72, 73, 26]

Pass 1:
  Compare 25 and 0
  Swap 25 and 0
  List after swap: [0, 25, -72, 73, 26]
  Compare 25 and -72
  Swap 25 and -72
  List after swap: [0, -72, 25, 73, 26]
  Compare 25 and 73
  No swap needed
  Compare 73 and 26
  Swap 73 and 26
  List after swap: [0, -72, 25, 26, 73]

Pass 2:
  Compare 0 and -72
  Swap 0 and -72
  List after swap: [-72, 0, 25, 26, 73]
  Compare 0 and 25
  No swap needed
  Compare 25 and 26
  No swap needed

Pass 3:
  Compare -72 and 0
  No swap needed
  Compare 0 and 25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, 0, 25, 26, 73]
</think>

<response>-72, 0, 25, 26, 73</response>


input: Arrange the numbers -33, 37 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-33, 37]

Pass 1:
  Compare -33 and 37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-33, 37]
</think>

<response>-33, 37</response>


input: Arrange the numbers 62, 30, -45, 93 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [62, 30, -45, 93]

Pass 1:
  Compare 62 and 30
  Swap 62 and 30
  List after swap: [30, 62, -45, 93]
  Compare 62 and -45
  Swap 62 and -45
  List after swap: [30, -45, 62, 93]
  Compare 62 and 93
  No swap needed

Pass 2:
  Compare 30 and -45
  Swap 30 and -45
  List after swap: [-45, 30, 62, 93]
  Compare 30 and 62
  No swap needed

Pass 3:
  Compare -45 and 30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-45, 30, 62, 93]
</think>

<response>-45, 30, 62, 93</response>


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

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

Pass 1:
  Compare 92 and -16
  Swap 92 and -16
  List after swap: [-16, 92]

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

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

<response>-16, 92</response>


input: Sort the list 44, -59, 1, 52, -41 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [44, -59, 1, 52, -41]

Pass 1:
  Compare 44 and -59
  Swap 44 and -59
  List after swap: [-59, 44, 1, 52, -41]
  Compare 44 and 1
  Swap 44 and 1
  List after swap: [-59, 1, 44, 52, -41]
  Compare 44 and 52
  No swap needed
  Compare 52 and -41
  Swap 52 and -41
  List after swap: [-59, 1, 44, -41, 52]

Pass 2:
  Compare -59 and 1
  No swap needed
  Compare 1 and 44
  No swap needed
  Compare 44 and -41
  Swap 44 and -41
  List after swap: [-59, 1, -41, 44, 52]

Pass 3:
  Compare -59 and 1
  No swap needed
  Compare 1 and -41
  Swap 1 and -41
  List after swap: [-59, -41, 1, 44, 52]

Pass 4:
  Compare -59 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, -41, 1, 44, 52]
</think>

<response>-59, -41, 1, 44, 52</response>


input: Arrange the numbers -27, 24, -71, -99, 33, -24, 17, -34, 73 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-27, 24, -71, -99, 33, -24, 17, -34, 73]

Pass 1:
  Compare -27 and 24
  No swap needed
  Compare 24 and -71
  Swap 24 and -71
  List after swap: [-27, -71, 24, -99, 33, -24, 17, -34, 73]
  Compare 24 and -99
  Swap 24 and -99
  List after swap: [-27, -71, -99, 24, 33, -24, 17, -34, 73]
  Compare 24 and 33
  No swap needed
  Compare 33 and -24
  Swap 33 and -24
  List after swap: [-27, -71, -99, 24, -24, 33, 17, -34, 73]
  Compare 33 and 17
  Swap 33 and 17
  List after swap: [-27, -71, -99, 24, -24, 17, 33, -34, 73]
  Compare 33 and -34
  Swap 33 and -34
  List after swap: [-27, -71, -99, 24, -24, 17, -34, 33, 73]
  Compare 33 and 73
  No swap needed

Pass 2:
  Compare -27 and -71
  Swap -27 and -71
  List after swap: [-71, -27, -99, 24, -24, 17, -34, 33, 73]
  Compare -27 and -99
  Swap -27 and -99
  List after swap: [-71, -99, -27, 24, -24, 17, -34, 33, 73]
  Compare -27 and 24
  No swap needed
  Compare 24 and -24
  Swap 24 and -24
  List after swap: [-71, -99, -27, -24, 24, 17, -34, 33, 73]
  Compare 24 and 17
  Swap 24 and 17
  List after swap: [-71, -99, -27, -24, 17, 24, -34, 33, 73]
  Compare 24 and -34
  Swap 24 and -34
  List after swap: [-71, -99, -27, -24, 17, -34, 24, 33, 73]
  Compare 24 and 33
  No swap needed

Pass 3:
  Compare -71 and -99
  Swap -71 and -99
  List after swap: [-99, -71, -27, -24, 17, -34, 24, 33, 73]
  Compare -71 and -27
  No swap needed
  Compare -27 and -24
  No swap needed
  Compare -24 and 17
  No swap needed
  Compare 17 and -34
  Swap 17 and -34
  List after swap: [-99, -71, -27, -24, -34, 17, 24, 33, 73]
  Compare 17 and 24
  No swap needed

Pass 4:
  Compare -99 and -71
  No swap needed
  Compare -71 and -27
  No swap needed
  Compare -27 and -24
  No swap needed
  Compare -24 and -34
  Swap -24 and -34
  List after swap: [-99, -71, -27, -34, -24, 17, 24, 33, 73]
  Compare -24 and 17
  No swap needed

Pass 5:
  Compare -99 and -71
  No swap needed
  Compare -71 and -27
  No swap needed
  Compare -27 and -34
  Swap -27 and -34
  List after swap: [-99, -71, -34, -27, -24, 17, 24, 33, 73]
  Compare -27 and -24
  No swap needed

Pass 6:
  Compare -99 and -71
  No swap needed
  Compare -71 and -34
  No swap needed
  Compare -34 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -71, -34, -27, -24, 17, 24, 33, 73]
</think>

<response>-99, -71, -34, -27, -24, 17, 24, 33, 73</response>


input: Arrange the numbers -88, -49, -28, 1, -59, -3, 50, 9 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-88, -49, -28, 1, -59, -3, 50, 9]

Pass 1:
  Compare -88 and -49
  No swap needed
  Compare -49 and -28
  No swap needed
  Compare -28 and 1
  No swap needed
  Compare 1 and -59
  Swap 1 and -59
  List after swap: [-88, -49, -28, -59, 1, -3, 50, 9]
  Compare 1 and -3
  Swap 1 and -3
  List after swap: [-88, -49, -28, -59, -3, 1, 50, 9]
  Compare 1 and 50
  No swap needed
  Compare 50 and 9
  Swap 50 and 9
  List after swap: [-88, -49, -28, -59, -3, 1, 9, 50]

Pass 2:
  Compare -88 and -49
  No swap needed
  Compare -49 and -28
  No swap needed
  Compare -28 and -59
  Swap -28 and -59
  List after swap: [-88, -49, -59, -28, -3, 1, 9, 50]
  Compare -28 and -3
  No swap needed
  Compare -3 and 1
  No swap needed
  Compare 1 and 9
  No swap needed

Pass 3:
  Compare -88 and -49
  No swap needed
  Compare -49 and -59
  Swap -49 and -59
  List after swap: [-88, -59, -49, -28, -3, 1, 9, 50]
  Compare -49 and -28
  No swap needed
  Compare -28 and -3
  No swap needed
  Compare -3 and 1
  No swap needed

Pass 4:
  Compare -88 and -59
  No swap needed
  Compare -59 and -49
  No swap needed
  Compare -49 and -28
  No swap needed
  Compare -28 and -3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -59, -49, -28, -3, 1, 9, 50]
</think>

<response>-88, -59, -49, -28, -3, 1, 9, 50</response>


input: Execute bubble sort to sort -96, -47, 48, 4, 19 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-96, -47, 48, 4, 19]

Pass 1:
  Compare -96 and -47
  No swap needed
  Compare -47 and 48
  No swap needed
  Compare 48 and 4
  Swap 48 and 4
  List after swap: [-96, -47, 4, 48, 19]
  Compare 48 and 19
  Swap 48 and 19
  List after swap: [-96, -47, 4, 19, 48]

Pass 2:
  Compare -96 and -47
  No swap needed
  Compare -47 and 4
  No swap needed
  Compare 4 and 19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -47, 4, 19, 48]
</think>

<response>-96, -47, 4, 19, 48</response>


input: Execute bubble sort to sort -67, 59, -57, 97 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-67, 59, -57, 97]

Pass 1:
  Compare -67 and 59
  No swap needed
  Compare 59 and -57
  Swap 59 and -57
  List after swap: [-67, -57, 59, 97]
  Compare 59 and 97
  No swap needed

Pass 2:
  Compare -67 and -57
  No swap needed
  Compare -57 and 59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -57, 59, 97]
</think>

<response>-67, -57, 59, 97</response>


input: Perform a bubble sort on the integers -95, 40, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-95, 40]

Pass 1:
  Compare -95 and 40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, 40]
</think>

<response>-95, 40</response>


input: Execute bubble sort to sort -35, 30, -50, -96, -55, -3, 92, 83, 44 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-35, 30, -50, -96, -55, -3, 92, 83, 44]

Pass 1:
  Compare -35 and 30
  No swap needed
  Compare 30 and -50
  Swap 30 and -50
  List after swap: [-35, -50, 30, -96, -55, -3, 92, 83, 44]
  Compare 30 and -96
  Swap 30 and -96
  List after swap: [-35, -50, -96, 30, -55, -3, 92, 83, 44]
  Compare 30 and -55
  Swap 30 and -55
  List after swap: [-35, -50, -96, -55, 30, -3, 92, 83, 44]
  Compare 30 and -3
  Swap 30 and -3
  List after swap: [-35, -50, -96, -55, -3, 30, 92, 83, 44]
  Compare 30 and 92
  No swap needed
  Compare 92 and 83
  Swap 92 and 83
  List after swap: [-35, -50, -96, -55, -3, 30, 83, 92, 44]
  Compare 92 and 44
  Swap 92 and 44
  List after swap: [-35, -50, -96, -55, -3, 30, 83, 44, 92]

Pass 2:
  Compare -35 and -50
  Swap -35 and -50
  List after swap: [-50, -35, -96, -55, -3, 30, 83, 44, 92]
  Compare -35 and -96
  Swap -35 and -96
  List after swap: [-50, -96, -35, -55, -3, 30, 83, 44, 92]
  Compare -35 and -55
  Swap -35 and -55
  List after swap: [-50, -96, -55, -35, -3, 30, 83, 44, 92]
  Compare -35 and -3
  No swap needed
  Compare -3 and 30
  No swap needed
  Compare 30 and 83
  No swap needed
  Compare 83 and 44
  Swap 83 and 44
  List after swap: [-50, -96, -55, -35, -3, 30, 44, 83, 92]

Pass 3:
  Compare -50 and -96
  Swap -50 and -96
  List after swap: [-96, -50, -55, -35, -3, 30, 44, 83, 92]
  Compare -50 and -55
  Swap -50 and -55
  List after swap: [-96, -55, -50, -35, -3, 30, 44, 83, 92]
  Compare -50 and -35
  No swap needed
  Compare -35 and -3
  No swap needed
  Compare -3 and 30
  No swap needed
  Compare 30 and 44
  No swap needed

Pass 4:
  Compare -96 and -55
  No swap needed
  Compare -55 and -50
  No swap needed
  Compare -50 and -35
  No swap needed
  Compare -35 and -3
  No swap needed
  Compare -3 and 30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -55, -50, -35, -3, 30, 44, 83, 92]
</think>

<response>-96, -55, -50, -35, -3, 30, 44, 83, 92</response>


input: Demonstrate how bubble sort orders the integers 3, 94, 17, -37, 43 in ascending sequence, showing all steps.

output:
<think>
Initial list: [3, 94, 17, -37, 43]

Pass 1:
  Compare 3 and 94
  No swap needed
  Compare 94 and 17
  Swap 94 and 17
  List after swap: [3, 17, 94, -37, 43]
  Compare 94 and -37
  Swap 94 and -37
  List after swap: [3, 17, -37, 94, 43]
  Compare 94 and 43
  Swap 94 and 43
  List after swap: [3, 17, -37, 43, 94]

Pass 2:
  Compare 3 and 17
  No swap needed
  Compare 17 and -37
  Swap 17 and -37
  List after swap: [3, -37, 17, 43, 94]
  Compare 17 and 43
  No swap needed

Pass 3:
  Compare 3 and -37
  Swap 3 and -37
  List after swap: [-37, 3, 17, 43, 94]
  Compare 3 and 17
  No swap needed

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

Final sorted list: [-37, 3, 17, 43, 94]
</think>

<response>-37, 3, 17, 43, 94</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 82, 89, -7, 96, -85.

output:
<think>
Initial list: [82, 89, -7, 96, -85]

Pass 1:
  Compare 82 and 89
  No swap needed
  Compare 89 and -7
  Swap 89 and -7
  List after swap: [82, -7, 89, 96, -85]
  Compare 89 and 96
  No swap needed
  Compare 96 and -85
  Swap 96 and -85
  List after swap: [82, -7, 89, -85, 96]

Pass 2:
  Compare 82 and -7
  Swap 82 and -7
  List after swap: [-7, 82, 89, -85, 96]
  Compare 82 and 89
  No swap needed
  Compare 89 and -85
  Swap 89 and -85
  List after swap: [-7, 82, -85, 89, 96]

Pass 3:
  Compare -7 and 82
  No swap needed
  Compare 82 and -85
  Swap 82 and -85
  List after swap: [-7, -85, 82, 89, 96]

Pass 4:
  Compare -7 and -85
  Swap -7 and -85
  List after swap: [-85, -7, 82, 89, 96]

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

Final sorted list: [-85, -7, 82, 89, 96]
</think>

<response>-85, -7, 82, 89, 96</response>


input: Perform a bubble sort on the integers 28, -51, -74, 15, 79, 61, -82, -44, 75, -50, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [28, -51, -74, 15, 79, 61, -82, -44, 75, -50]

Pass 1:
  Compare 28 and -51
  Swap 28 and -51
  List after swap: [-51, 28, -74, 15, 79, 61, -82, -44, 75, -50]
  Compare 28 and -74
  Swap 28 and -74
  List after swap: [-51, -74, 28, 15, 79, 61, -82, -44, 75, -50]
  Compare 28 and 15
  Swap 28 and 15
  List after swap: [-51, -74, 15, 28, 79, 61, -82, -44, 75, -50]
  Compare 28 and 79
  No swap needed
  Compare 79 and 61
  Swap 79 and 61
  List after swap: [-51, -74, 15, 28, 61, 79, -82, -44, 75, -50]
  Compare 79 and -82
  Swap 79 and -82
  List after swap: [-51, -74, 15, 28, 61, -82, 79, -44, 75, -50]
  Compare 79 and -44
  Swap 79 and -44
  List after swap: [-51, -74, 15, 28, 61, -82, -44, 79, 75, -50]
  Compare 79 and 75
  Swap 79 and 75
  List after swap: [-51, -74, 15, 28, 61, -82, -44, 75, 79, -50]
  Compare 79 and -50
  Swap 79 and -50
  List after swap: [-51, -74, 15, 28, 61, -82, -44, 75, -50, 79]

Pass 2:
  Compare -51 and -74
  Swap -51 and -74
  List after swap: [-74, -51, 15, 28, 61, -82, -44, 75, -50, 79]
  Compare -51 and 15
  No swap needed
  Compare 15 and 28
  No swap needed
  Compare 28 and 61
  No swap needed
  Compare 61 and -82
  Swap 61 and -82
  List after swap: [-74, -51, 15, 28, -82, 61, -44, 75, -50, 79]
  Compare 61 and -44
  Swap 61 and -44
  List after swap: [-74, -51, 15, 28, -82, -44, 61, 75, -50, 79]
  Compare 61 and 75
  No swap needed
  Compare 75 and -50
  Swap 75 and -50
  List after swap: [-74, -51, 15, 28, -82, -44, 61, -50, 75, 79]

Pass 3:
  Compare -74 and -51
  No swap needed
  Compare -51 and 15
  No swap needed
  Compare 15 and 28
  No swap needed
  Compare 28 and -82
  Swap 28 and -82
  List after swap: [-74, -51, 15, -82, 28, -44, 61, -50, 75, 79]
  Compare 28 and -44
  Swap 28 and -44
  List after swap: [-74, -51, 15, -82, -44, 28, 61, -50, 75, 79]
  Compare 28 and 61
  No swap needed
  Compare 61 and -50
  Swap 61 and -50
  List after swap: [-74, -51, 15, -82, -44, 28, -50, 61, 75, 79]

Pass 4:
  Compare -74 and -51
  No swap needed
  Compare -51 and 15
  No swap needed
  Compare 15 and -82
  Swap 15 and -82
  List after swap: [-74, -51, -82, 15, -44, 28, -50, 61, 75, 79]
  Compare 15 and -44
  Swap 15 and -44
  List after swap: [-74, -51, -82, -44, 15, 28, -50, 61, 75, 79]
  Compare 15 and 28
  No swap needed
  Compare 28 and -50
  Swap 28 and -50
  List after swap: [-74, -51, -82, -44, 15, -50, 28, 61, 75, 79]

Pass 5:
  Compare -74 and -51
  No swap needed
  Compare -51 and -82
  Swap -51 and -82
  List after swap: [-74, -82, -51, -44, 15, -50, 28, 61, 75, 79]
  Compare -51 and -44
  No swap needed
  Compare -44 and 15
  No swap needed
  Compare 15 and -50
  Swap 15 and -50
  List after swap: [-74, -82, -51, -44, -50, 15, 28, 61, 75, 79]

Pass 6:
  Compare -74 and -82
  Swap -74 and -82
  List after swap: [-82, -74, -51, -44, -50, 15, 28, 61, 75, 79]
  Compare -74 and -51
  No swap needed
  Compare -51 and -44
  No swap needed
  Compare -44 and -50
  Swap -44 and -50
  List after swap: [-82, -74, -51, -50, -44, 15, 28, 61, 75, 79]

Pass 7:
  Compare -82 and -74
  No swap needed
  Compare -74 and -51
  No swap needed
  Compare -51 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -74, -51, -50, -44, 15, 28, 61, 75, 79]
</think>

<response>-82, -74, -51, -50, -44, 15, 28, 61, 75, 79</response>


input: Sort these integers 51, -3, 85, -52, 13, -18, 95 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [51, -3, 85, -52, 13, -18, 95]

Pass 1:
  Compare 51 and -3
  Swap 51 and -3
  List after swap: [-3, 51, 85, -52, 13, -18, 95]
  Compare 51 and 85
  No swap needed
  Compare 85 and -52
  Swap 85 and -52
  List after swap: [-3, 51, -52, 85, 13, -18, 95]
  Compare 85 and 13
  Swap 85 and 13
  List after swap: [-3, 51, -52, 13, 85, -18, 95]
  Compare 85 and -18
  Swap 85 and -18
  List after swap: [-3, 51, -52, 13, -18, 85, 95]
  Compare 85 and 95
  No swap needed

Pass 2:
  Compare -3 and 51
  No swap needed
  Compare 51 and -52
  Swap 51 and -52
  List after swap: [-3, -52, 51, 13, -18, 85, 95]
  Compare 51 and 13
  Swap 51 and 13
  List after swap: [-3, -52, 13, 51, -18, 85, 95]
  Compare 51 and -18
  Swap 51 and -18
  List after swap: [-3, -52, 13, -18, 51, 85, 95]
  Compare 51 and 85
  No swap needed

Pass 3:
  Compare -3 and -52
  Swap -3 and -52
  List after swap: [-52, -3, 13, -18, 51, 85, 95]
  Compare -3 and 13
  No swap needed
  Compare 13 and -18
  Swap 13 and -18
  List after swap: [-52, -3, -18, 13, 51, 85, 95]
  Compare 13 and 51
  No swap needed

Pass 4:
  Compare -52 and -3
  No swap needed
  Compare -3 and -18
  Swap -3 and -18
  List after swap: [-52, -18, -3, 13, 51, 85, 95]
  Compare -3 and 13
  No swap needed

Pass 5:
  Compare -52 and -18
  No swap needed
  Compare -18 and -3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, -18, -3, 13, 51, 85, 95]
</think>

<response>-52, -18, -3, 13, 51, 85, 95</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -76, 71.

output:
<think>
Initial list: [-76, 71]

Pass 1:
  Compare -76 and 71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, 71]
</think>

<response>-76, 71</response>


input: Execute bubble sort to sort -80, -49, -17, 83, -18, -26, 18 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-80, -49, -17, 83, -18, -26, 18]

Pass 1:
  Compare -80 and -49
  No swap needed
  Compare -49 and -17
  No swap needed
  Compare -17 and 83
  No swap needed
  Compare 83 and -18
  Swap 83 and -18
  List after swap: [-80, -49, -17, -18, 83, -26, 18]
  Compare 83 and -26
  Swap 83 and -26
  List after swap: [-80, -49, -17, -18, -26, 83, 18]
  Compare 83 and 18
  Swap 83 and 18
  List after swap: [-80, -49, -17, -18, -26, 18, 83]

Pass 2:
  Compare -80 and -49
  No swap needed
  Compare -49 and -17
  No swap needed
  Compare -17 and -18
  Swap -17 and -18
  List after swap: [-80, -49, -18, -17, -26, 18, 83]
  Compare -17 and -26
  Swap -17 and -26
  List after swap: [-80, -49, -18, -26, -17, 18, 83]
  Compare -17 and 18
  No swap needed

Pass 3:
  Compare -80 and -49
  No swap needed
  Compare -49 and -18
  No swap needed
  Compare -18 and -26
  Swap -18 and -26
  List after swap: [-80, -49, -26, -18, -17, 18, 83]
  Compare -18 and -17
  No swap needed

Pass 4:
  Compare -80 and -49
  No swap needed
  Compare -49 and -26
  No swap needed
  Compare -26 and -18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -49, -26, -18, -17, 18, 83]
</think>

<response>-80, -49, -26, -18, -17, 18, 83</response>


input: Using the bubble sort method, sort 34, -77, -9 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [34, -77, -9]

Pass 1:
  Compare 34 and -77
  Swap 34 and -77
  List after swap: [-77, 34, -9]
  Compare 34 and -9
  Swap 34 and -9
  List after swap: [-77, -9, 34]

Pass 2:
  Compare -77 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -9, 34]
</think>

<response>-77, -9, 34</response>


input: Demonstrate how bubble sort orders the integers -3, 94, -82, 66, 10, -98, 28, 59, -20 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-3, 94, -82, 66, 10, -98, 28, 59, -20]

Pass 1:
  Compare -3 and 94
  No swap needed
  Compare 94 and -82
  Swap 94 and -82
  List after swap: [-3, -82, 94, 66, 10, -98, 28, 59, -20]
  Compare 94 and 66
  Swap 94 and 66
  List after swap: [-3, -82, 66, 94, 10, -98, 28, 59, -20]
  Compare 94 and 10
  Swap 94 and 10
  List after swap: [-3, -82, 66, 10, 94, -98, 28, 59, -20]
  Compare 94 and -98
  Swap 94 and -98
  List after swap: [-3, -82, 66, 10, -98, 94, 28, 59, -20]
  Compare 94 and 28
  Swap 94 and 28
  List after swap: [-3, -82, 66, 10, -98, 28, 94, 59, -20]
  Compare 94 and 59
  Swap 94 and 59
  List after swap: [-3, -82, 66, 10, -98, 28, 59, 94, -20]
  Compare 94 and -20
  Swap 94 and -20
  List after swap: [-3, -82, 66, 10, -98, 28, 59, -20, 94]

Pass 2:
  Compare -3 and -82
  Swap -3 and -82
  List after swap: [-82, -3, 66, 10, -98, 28, 59, -20, 94]
  Compare -3 and 66
  No swap needed
  Compare 66 and 10
  Swap 66 and 10
  List after swap: [-82, -3, 10, 66, -98, 28, 59, -20, 94]
  Compare 66 and -98
  Swap 66 and -98
  List after swap: [-82, -3, 10, -98, 66, 28, 59, -20, 94]
  Compare 66 and 28
  Swap 66 and 28
  List after swap: [-82, -3, 10, -98, 28, 66, 59, -20, 94]
  Compare 66 and 59
  Swap 66 and 59
  List after swap: [-82, -3, 10, -98, 28, 59, 66, -20, 94]
  Compare 66 and -20
  Swap 66 and -20
  List after swap: [-82, -3, 10, -98, 28, 59, -20, 66, 94]

Pass 3:
  Compare -82 and -3
  No swap needed
  Compare -3 and 10
  No swap needed
  Compare 10 and -98
  Swap 10 and -98
  List after swap: [-82, -3, -98, 10, 28, 59, -20, 66, 94]
  Compare 10 and 28
  No swap needed
  Compare 28 and 59
  No swap needed
  Compare 59 and -20
  Swap 59 and -20
  List after swap: [-82, -3, -98, 10, 28, -20, 59, 66, 94]

Pass 4:
  Compare -82 and -3
  No swap needed
  Compare -3 and -98
  Swap -3 and -98
  List after swap: [-82, -98, -3, 10, 28, -20, 59, 66, 94]
  Compare -3 and 10
  No swap needed
  Compare 10 and 28
  No swap needed
  Compare 28 and -20
  Swap 28 and -20
  List after swap: [-82, -98, -3, 10, -20, 28, 59, 66, 94]

Pass 5:
  Compare -82 and -98
  Swap -82 and -98
  List after swap: [-98, -82, -3, 10, -20, 28, 59, 66, 94]
  Compare -82 and -3
  No swap needed
  Compare -3 and 10
  No swap needed
  Compare 10 and -20
  Swap 10 and -20
  List after swap: [-98, -82, -3, -20, 10, 28, 59, 66, 94]

Pass 6:
  Compare -98 and -82
  No swap needed
  Compare -82 and -3
  No swap needed
  Compare -3 and -20
  Swap -3 and -20
  List after swap: [-98, -82, -20, -3, 10, 28, 59, 66, 94]

Pass 7:
  Compare -98 and -82
  No swap needed
  Compare -82 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -82, -20, -3, 10, 28, 59, 66, 94]
</think>

<response>-98, -82, -20, -3, 10, 28, 59, 66, 94</response>


input: Using the bubble sort method, sort -92, -51, 3 from lowest to highest and provide a step-by-step breakdown.

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

Pass 1:
  Compare -92 and -51
  No swap needed
  Compare -51 and 3
  No swap needed
  No swaps in this pass, list is sorted.

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

<response>-92, -51, 3</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 65, 26, 27, 79, 52, -13, 83, -3.

output:
<think>
Initial list: [65, 26, 27, 79, 52, -13, 83, -3]

Pass 1:
  Compare 65 and 26
  Swap 65 and 26
  List after swap: [26, 65, 27, 79, 52, -13, 83, -3]
  Compare 65 and 27
  Swap 65 and 27
  List after swap: [26, 27, 65, 79, 52, -13, 83, -3]
  Compare 65 and 79
  No swap needed
  Compare 79 and 52
  Swap 79 and 52
  List after swap: [26, 27, 65, 52, 79, -13, 83, -3]
  Compare 79 and -13
  Swap 79 and -13
  List after swap: [26, 27, 65, 52, -13, 79, 83, -3]
  Compare 79 and 83
  No swap needed
  Compare 83 and -3
  Swap 83 and -3
  List after swap: [26, 27, 65, 52, -13, 79, -3, 83]

Pass 2:
  Compare 26 and 27
  No swap needed
  Compare 27 and 65
  No swap needed
  Compare 65 and 52
  Swap 65 and 52
  List after swap: [26, 27, 52, 65, -13, 79, -3, 83]
  Compare 65 and -13
  Swap 65 and -13
  List after swap: [26, 27, 52, -13, 65, 79, -3, 83]
  Compare 65 and 79
  No swap needed
  Compare 79 and -3
  Swap 79 and -3
  List after swap: [26, 27, 52, -13, 65, -3, 79, 83]

Pass 3:
  Compare 26 and 27
  No swap needed
  Compare 27 and 52
  No swap needed
  Compare 52 and -13
  Swap 52 and -13
  List after swap: [26, 27, -13, 52, 65, -3, 79, 83]
  Compare 52 and 65
  No swap needed
  Compare 65 and -3
  Swap 65 and -3
  List after swap: [26, 27, -13, 52, -3, 65, 79, 83]

Pass 4:
  Compare 26 and 27
  No swap needed
  Compare 27 and -13
  Swap 27 and -13
  List after swap: [26, -13, 27, 52, -3, 65, 79, 83]
  Compare 27 and 52
  No swap needed
  Compare 52 and -3
  Swap 52 and -3
  List after swap: [26, -13, 27, -3, 52, 65, 79, 83]

Pass 5:
  Compare 26 and -13
  Swap 26 and -13
  List after swap: [-13, 26, 27, -3, 52, 65, 79, 83]
  Compare 26 and 27
  No swap needed
  Compare 27 and -3
  Swap 27 and -3
  List after swap: [-13, 26, -3, 27, 52, 65, 79, 83]

Pass 6:
  Compare -13 and 26
  No swap needed
  Compare 26 and -3
  Swap 26 and -3
  List after swap: [-13, -3, 26, 27, 52, 65, 79, 83]

Pass 7:
  Compare -13 and -3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-13, -3, 26, 27, 52, 65, 79, 83]
</think>

<response>-13, -3, 26, 27, 52, 65, 79, 83</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 42, 6, -84, -13, 98.

output:
<think>
Initial list: [42, 6, -84, -13, 98]

Pass 1:
  Compare 42 and 6
  Swap 42 and 6
  List after swap: [6, 42, -84, -13, 98]
  Compare 42 and -84
  Swap 42 and -84
  List after swap: [6, -84, 42, -13, 98]
  Compare 42 and -13
  Swap 42 and -13
  List after swap: [6, -84, -13, 42, 98]
  Compare 42 and 98
  No swap needed

Pass 2:
  Compare 6 and -84
  Swap 6 and -84
  List after swap: [-84, 6, -13, 42, 98]
  Compare 6 and -13
  Swap 6 and -13
  List after swap: [-84, -13, 6, 42, 98]
  Compare 6 and 42
  No swap needed

Pass 3:
  Compare -84 and -13
  No swap needed
  Compare -13 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -13, 6, 42, 98]
</think>

<response>-84, -13, 6, 42, 98</response>


input: Sort these integers 59, 35, -15, -5, 80, -54, -56, -92, 21, -88 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [59, 35, -15, -5, 80, -54, -56, -92, 21, -88]

Pass 1:
  Compare 59 and 35
  Swap 59 and 35
  List after swap: [35, 59, -15, -5, 80, -54, -56, -92, 21, -88]
  Compare 59 and -15
  Swap 59 and -15
  List after swap: [35, -15, 59, -5, 80, -54, -56, -92, 21, -88]
  Compare 59 and -5
  Swap 59 and -5
  List after swap: [35, -15, -5, 59, 80, -54, -56, -92, 21, -88]
  Compare 59 and 80
  No swap needed
  Compare 80 and -54
  Swap 80 and -54
  List after swap: [35, -15, -5, 59, -54, 80, -56, -92, 21, -88]
  Compare 80 and -56
  Swap 80 and -56
  List after swap: [35, -15, -5, 59, -54, -56, 80, -92, 21, -88]
  Compare 80 and -92
  Swap 80 and -92
  List after swap: [35, -15, -5, 59, -54, -56, -92, 80, 21, -88]
  Compare 80 and 21
  Swap 80 and 21
  List after swap: [35, -15, -5, 59, -54, -56, -92, 21, 80, -88]
  Compare 80 and -88
  Swap 80 and -88
  List after swap: [35, -15, -5, 59, -54, -56, -92, 21, -88, 80]

Pass 2:
  Compare 35 and -15
  Swap 35 and -15
  List after swap: [-15, 35, -5, 59, -54, -56, -92, 21, -88, 80]
  Compare 35 and -5
  Swap 35 and -5
  List after swap: [-15, -5, 35, 59, -54, -56, -92, 21, -88, 80]
  Compare 35 and 59
  No swap needed
  Compare 59 and -54
  Swap 59 and -54
  List after swap: [-15, -5, 35, -54, 59, -56, -92, 21, -88, 80]
  Compare 59 and -56
  Swap 59 and -56
  List after swap: [-15, -5, 35, -54, -56, 59, -92, 21, -88, 80]
  Compare 59 and -92
  Swap 59 and -92
  List after swap: [-15, -5, 35, -54, -56, -92, 59, 21, -88, 80]
  Compare 59 and 21
  Swap 59 and 21
  List after swap: [-15, -5, 35, -54, -56, -92, 21, 59, -88, 80]
  Compare 59 and -88
  Swap 59 and -88
  List after swap: [-15, -5, 35, -54, -56, -92, 21, -88, 59, 80]

Pass 3:
  Compare -15 and -5
  No swap needed
  Compare -5 and 35
  No swap needed
  Compare 35 and -54
  Swap 35 and -54
  List after swap: [-15, -5, -54, 35, -56, -92, 21, -88, 59, 80]
  Compare 35 and -56
  Swap 35 and -56
  List after swap: [-15, -5, -54, -56, 35, -92, 21, -88, 59, 80]
  Compare 35 and -92
  Swap 35 and -92
  List after swap: [-15, -5, -54, -56, -92, 35, 21, -88, 59, 80]
  Compare 35 and 21
  Swap 35 and 21
  List after swap: [-15, -5, -54, -56, -92, 21, 35, -88, 59, 80]
  Compare 35 and -88
  Swap 35 and -88
  List after swap: [-15, -5, -54, -56, -92, 21, -88, 35, 59, 80]

Pass 4:
  Compare -15 and -5
  No swap needed
  Compare -5 and -54
  Swap -5 and -54
  List after swap: [-15, -54, -5, -56, -92, 21, -88, 35, 59, 80]
  Compare -5 and -56
  Swap -5 and -56
  List after swap: [-15, -54, -56, -5, -92, 21, -88, 35, 59, 80]
  Compare -5 and -92
  Swap -5 and -92
  List after swap: [-15, -54, -56, -92, -5, 21, -88, 35, 59, 80]
  Compare -5 and 21
  No swap needed
  Compare 21 and -88
  Swap 21 and -88
  List after swap: [-15, -54, -56, -92, -5, -88, 21, 35, 59, 80]

Pass 5:
  Compare -15 and -54
  Swap -15 and -54
  List after swap: [-54, -15, -56, -92, -5, -88, 21, 35, 59, 80]
  Compare -15 and -56
  Swap -15 and -56
  List after swap: [-54, -56, -15, -92, -5, -88, 21, 35, 59, 80]
  Compare -15 and -92
  Swap -15 and -92
  List after swap: [-54, -56, -92, -15, -5, -88, 21, 35, 59, 80]
  Compare -15 and -5
  No swap needed
  Compare -5 and -88
  Swap -5 and -88
  List after swap: [-54, -56, -92, -15, -88, -5, 21, 35, 59, 80]

Pass 6:
  Compare -54 and -56
  Swap -54 and -56
  List after swap: [-56, -54, -92, -15, -88, -5, 21, 35, 59, 80]
  Compare -54 and -92
  Swap -54 and -92
  List after swap: [-56, -92, -54, -15, -88, -5, 21, 35, 59, 80]
  Compare -54 and -15
  No swap needed
  Compare -15 and -88
  Swap -15 and -88
  List after swap: [-56, -92, -54, -88, -15, -5, 21, 35, 59, 80]

Pass 7:
  Compare -56 and -92
  Swap -56 and -92
  List after swap: [-92, -56, -54, -88, -15, -5, 21, 35, 59, 80]
  Compare -56 and -54
  No swap needed
  Compare -54 and -88
  Swap -54 and -88
  List after swap: [-92, -56, -88, -54, -15, -5, 21, 35, 59, 80]

Pass 8:
  Compare -92 and -56
  No swap needed
  Compare -56 and -88
  Swap -56 and -88
  List after swap: [-92, -88, -56, -54, -15, -5, 21, 35, 59, 80]

Pass 9:
  Compare -92 and -88
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -88, -56, -54, -15, -5, 21, 35, 59, 80]
</think>

<response>-92, -88, -56, -54, -15, -5, 21, 35, 59, 80</response>


input: Sort these integers -93, 17, -43, 33, 10, 34, 71, 25 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-93, 17, -43, 33, 10, 34, 71, 25]

Pass 1:
  Compare -93 and 17
  No swap needed
  Compare 17 and -43
  Swap 17 and -43
  List after swap: [-93, -43, 17, 33, 10, 34, 71, 25]
  Compare 17 and 33
  No swap needed
  Compare 33 and 10
  Swap 33 and 10
  List after swap: [-93, -43, 17, 10, 33, 34, 71, 25]
  Compare 33 and 34
  No swap needed
  Compare 34 and 71
  No swap needed
  Compare 71 and 25
  Swap 71 and 25
  List after swap: [-93, -43, 17, 10, 33, 34, 25, 71]

Pass 2:
  Compare -93 and -43
  No swap needed
  Compare -43 and 17
  No swap needed
  Compare 17 and 10
  Swap 17 and 10
  List after swap: [-93, -43, 10, 17, 33, 34, 25, 71]
  Compare 17 and 33
  No swap needed
  Compare 33 and 34
  No swap needed
  Compare 34 and 25
  Swap 34 and 25
  List after swap: [-93, -43, 10, 17, 33, 25, 34, 71]

Pass 3:
  Compare -93 and -43
  No swap needed
  Compare -43 and 10
  No swap needed
  Compare 10 and 17
  No swap needed
  Compare 17 and 33
  No swap needed
  Compare 33 and 25
  Swap 33 and 25
  List after swap: [-93, -43, 10, 17, 25, 33, 34, 71]

Pass 4:
  Compare -93 and -43
  No swap needed
  Compare -43 and 10
  No swap needed
  Compare 10 and 17
  No swap needed
  Compare 17 and 25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -43, 10, 17, 25, 33, 34, 71]
</think>

<response>-93, -43, 10, 17, 25, 33, 34, 71</response>


input: Sort these integers 23, 98, -97, -28, 69, -57, 11 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [23, 98, -97, -28, 69, -57, 11]

Pass 1:
  Compare 23 and 98
  No swap needed
  Compare 98 and -97
  Swap 98 and -97
  List after swap: [23, -97, 98, -28, 69, -57, 11]
  Compare 98 and -28
  Swap 98 and -28
  List after swap: [23, -97, -28, 98, 69, -57, 11]
  Compare 98 and 69
  Swap 98 and 69
  List after swap: [23, -97, -28, 69, 98, -57, 11]
  Compare 98 and -57
  Swap 98 and -57
  List after swap: [23, -97, -28, 69, -57, 98, 11]
  Compare 98 and 11
  Swap 98 and 11
  List after swap: [23, -97, -28, 69, -57, 11, 98]

Pass 2:
  Compare 23 and -97
  Swap 23 and -97
  List after swap: [-97, 23, -28, 69, -57, 11, 98]
  Compare 23 and -28
  Swap 23 and -28
  List after swap: [-97, -28, 23, 69, -57, 11, 98]
  Compare 23 and 69
  No swap needed
  Compare 69 and -57
  Swap 69 and -57
  List after swap: [-97, -28, 23, -57, 69, 11, 98]
  Compare 69 and 11
  Swap 69 and 11
  List after swap: [-97, -28, 23, -57, 11, 69, 98]

Pass 3:
  Compare -97 and -28
  No swap needed
  Compare -28 and 23
  No swap needed
  Compare 23 and -57
  Swap 23 and -57
  List after swap: [-97, -28, -57, 23, 11, 69, 98]
  Compare 23 and 11
  Swap 23 and 11
  List after swap: [-97, -28, -57, 11, 23, 69, 98]

Pass 4:
  Compare -97 and -28
  No swap needed
  Compare -28 and -57
  Swap -28 and -57
  List after swap: [-97, -57, -28, 11, 23, 69, 98]
  Compare -28 and 11
  No swap needed

Pass 5:
  Compare -97 and -57
  No swap needed
  Compare -57 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -57, -28, 11, 23, 69, 98]
</think>

<response>-97, -57, -28, 11, 23, 69, 98</response>


input: Implement bubble sort on -69, 44, 50, -51, 87, -71, 21, 25, -84, 66 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-69, 44, 50, -51, 87, -71, 21, 25, -84, 66]

Pass 1:
  Compare -69 and 44
  No swap needed
  Compare 44 and 50
  No swap needed
  Compare 50 and -51
  Swap 50 and -51
  List after swap: [-69, 44, -51, 50, 87, -71, 21, 25, -84, 66]
  Compare 50 and 87
  No swap needed
  Compare 87 and -71
  Swap 87 and -71
  List after swap: [-69, 44, -51, 50, -71, 87, 21, 25, -84, 66]
  Compare 87 and 21
  Swap 87 and 21
  List after swap: [-69, 44, -51, 50, -71, 21, 87, 25, -84, 66]
  Compare 87 and 25
  Swap 87 and 25
  List after swap: [-69, 44, -51, 50, -71, 21, 25, 87, -84, 66]
  Compare 87 and -84
  Swap 87 and -84
  List after swap: [-69, 44, -51, 50, -71, 21, 25, -84, 87, 66]
  Compare 87 and 66
  Swap 87 and 66
  List after swap: [-69, 44, -51, 50, -71, 21, 25, -84, 66, 87]

Pass 2:
  Compare -69 and 44
  No swap needed
  Compare 44 and -51
  Swap 44 and -51
  List after swap: [-69, -51, 44, 50, -71, 21, 25, -84, 66, 87]
  Compare 44 and 50
  No swap needed
  Compare 50 and -71
  Swap 50 and -71
  List after swap: [-69, -51, 44, -71, 50, 21, 25, -84, 66, 87]
  Compare 50 and 21
  Swap 50 and 21
  List after swap: [-69, -51, 44, -71, 21, 50, 25, -84, 66, 87]
  Compare 50 and 25
  Swap 50 and 25
  List after swap: [-69, -51, 44, -71, 21, 25, 50, -84, 66, 87]
  Compare 50 and -84
  Swap 50 and -84
  List after swap: [-69, -51, 44, -71, 21, 25, -84, 50, 66, 87]
  Compare 50 and 66
  No swap needed

Pass 3:
  Compare -69 and -51
  No swap needed
  Compare -51 and 44
  No swap needed
  Compare 44 and -71
  Swap 44 and -71
  List after swap: [-69, -51, -71, 44, 21, 25, -84, 50, 66, 87]
  Compare 44 and 21
  Swap 44 and 21
  List after swap: [-69, -51, -71, 21, 44, 25, -84, 50, 66, 87]
  Compare 44 and 25
  Swap 44 and 25
  List after swap: [-69, -51, -71, 21, 25, 44, -84, 50, 66, 87]
  Compare 44 and -84
  Swap 44 and -84
  List after swap: [-69, -51, -71, 21, 25, -84, 44, 50, 66, 87]
  Compare 44 and 50
  No swap needed

Pass 4:
  Compare -69 and -51
  No swap needed
  Compare -51 and -71
  Swap -51 and -71
  List after swap: [-69, -71, -51, 21, 25, -84, 44, 50, 66, 87]
  Compare -51 and 21
  No swap needed
  Compare 21 and 25
  No swap needed
  Compare 25 and -84
  Swap 25 and -84
  List after swap: [-69, -71, -51, 21, -84, 25, 44, 50, 66, 87]
  Compare 25 and 44
  No swap needed

Pass 5:
  Compare -69 and -71
  Swap -69 and -71
  List after swap: [-71, -69, -51, 21, -84, 25, 44, 50, 66, 87]
  Compare -69 and -51
  No swap needed
  Compare -51 and 21
  No swap needed
  Compare 21 and -84
  Swap 21 and -84
  List after swap: [-71, -69, -51, -84, 21, 25, 44, 50, 66, 87]
  Compare 21 and 25
  No swap needed

Pass 6:
  Compare -71 and -69
  No swap needed
  Compare -69 and -51
  No swap needed
  Compare -51 and -84
  Swap -51 and -84
  List after swap: [-71, -69, -84, -51, 21, 25, 44, 50, 66, 87]
  Compare -51 and 21
  No swap needed

Pass 7:
  Compare -71 and -69
  No swap needed
  Compare -69 and -84
  Swap -69 and -84
  List after swap: [-71, -84, -69, -51, 21, 25, 44, 50, 66, 87]
  Compare -69 and -51
  No swap needed

Pass 8:
  Compare -71 and -84
  Swap -71 and -84
  List after swap: [-84, -71, -69, -51, 21, 25, 44, 50, 66, 87]
  Compare -71 and -69
  No swap needed

Pass 9:
  Compare -84 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -71, -69, -51, 21, 25, 44, 50, 66, 87]
</think>

<response>-84, -71, -69, -51, 21, 25, 44, 50, 66, 87</response>


input: Sort these integers 77, -41, -42 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [77, -41, -42]

Pass 1:
  Compare 77 and -41
  Swap 77 and -41
  List after swap: [-41, 77, -42]
  Compare 77 and -42
  Swap 77 and -42
  List after swap: [-41, -42, 77]

Pass 2:
  Compare -41 and -42
  Swap -41 and -42
  List after swap: [-42, -41, 77]

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

Final sorted list: [-42, -41, 77]
</think>

<response>-42, -41, 77</response>


input: Implement bubble sort on 35, 65 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [35, 65]

Pass 1:
  Compare 35 and 65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [35, 65]
</think>

<response>35, 65</response>


input: Sort the list -47, -53, -84, 60, 63, 47, -27, 42, 33 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-47, -53, -84, 60, 63, 47, -27, 42, 33]

Pass 1:
  Compare -47 and -53
  Swap -47 and -53
  List after swap: [-53, -47, -84, 60, 63, 47, -27, 42, 33]
  Compare -47 and -84
  Swap -47 and -84
  List after swap: [-53, -84, -47, 60, 63, 47, -27, 42, 33]
  Compare -47 and 60
  No swap needed
  Compare 60 and 63
  No swap needed
  Compare 63 and 47
  Swap 63 and 47
  List after swap: [-53, -84, -47, 60, 47, 63, -27, 42, 33]
  Compare 63 and -27
  Swap 63 and -27
  List after swap: [-53, -84, -47, 60, 47, -27, 63, 42, 33]
  Compare 63 and 42
  Swap 63 and 42
  List after swap: [-53, -84, -47, 60, 47, -27, 42, 63, 33]
  Compare 63 and 33
  Swap 63 and 33
  List after swap: [-53, -84, -47, 60, 47, -27, 42, 33, 63]

Pass 2:
  Compare -53 and -84
  Swap -53 and -84
  List after swap: [-84, -53, -47, 60, 47, -27, 42, 33, 63]
  Compare -53 and -47
  No swap needed
  Compare -47 and 60
  No swap needed
  Compare 60 and 47
  Swap 60 and 47
  List after swap: [-84, -53, -47, 47, 60, -27, 42, 33, 63]
  Compare 60 and -27
  Swap 60 and -27
  List after swap: [-84, -53, -47, 47, -27, 60, 42, 33, 63]
  Compare 60 and 42
  Swap 60 and 42
  List after swap: [-84, -53, -47, 47, -27, 42, 60, 33, 63]
  Compare 60 and 33
  Swap 60 and 33
  List after swap: [-84, -53, -47, 47, -27, 42, 33, 60, 63]

Pass 3:
  Compare -84 and -53
  No swap needed
  Compare -53 and -47
  No swap needed
  Compare -47 and 47
  No swap needed
  Compare 47 and -27
  Swap 47 and -27
  List after swap: [-84, -53, -47, -27, 47, 42, 33, 60, 63]
  Compare 47 and 42
  Swap 47 and 42
  List after swap: [-84, -53, -47, -27, 42, 47, 33, 60, 63]
  Compare 47 and 33
  Swap 47 and 33
  List after swap: [-84, -53, -47, -27, 42, 33, 47, 60, 63]

Pass 4:
  Compare -84 and -53
  No swap needed
  Compare -53 and -47
  No swap needed
  Compare -47 and -27
  No swap needed
  Compare -27 and 42
  No swap needed
  Compare 42 and 33
  Swap 42 and 33
  List after swap: [-84, -53, -47, -27, 33, 42, 47, 60, 63]

Pass 5:
  Compare -84 and -53
  No swap needed
  Compare -53 and -47
  No swap needed
  Compare -47 and -27
  No swap needed
  Compare -27 and 33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -53, -47, -27, 33, 42, 47, 60, 63]
</think>

<response>-84, -53, -47, -27, 33, 42, 47, 60, 63</response>


input: Implement bubble sort on -13, 39, 86, -65, -12, -93, -2, -35, -98 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-13, 39, 86, -65, -12, -93, -2, -35, -98]

Pass 1:
  Compare -13 and 39
  No swap needed
  Compare 39 and 86
  No swap needed
  Compare 86 and -65
  Swap 86 and -65
  List after swap: [-13, 39, -65, 86, -12, -93, -2, -35, -98]
  Compare 86 and -12
  Swap 86 and -12
  List after swap: [-13, 39, -65, -12, 86, -93, -2, -35, -98]
  Compare 86 and -93
  Swap 86 and -93
  List after swap: [-13, 39, -65, -12, -93, 86, -2, -35, -98]
  Compare 86 and -2
  Swap 86 and -2
  List after swap: [-13, 39, -65, -12, -93, -2, 86, -35, -98]
  Compare 86 and -35
  Swap 86 and -35
  List after swap: [-13, 39, -65, -12, -93, -2, -35, 86, -98]
  Compare 86 and -98
  Swap 86 and -98
  List after swap: [-13, 39, -65, -12, -93, -2, -35, -98, 86]

Pass 2:
  Compare -13 and 39
  No swap needed
  Compare 39 and -65
  Swap 39 and -65
  List after swap: [-13, -65, 39, -12, -93, -2, -35, -98, 86]
  Compare 39 and -12
  Swap 39 and -12
  List after swap: [-13, -65, -12, 39, -93, -2, -35, -98, 86]
  Compare 39 and -93
  Swap 39 and -93
  List after swap: [-13, -65, -12, -93, 39, -2, -35, -98, 86]
  Compare 39 and -2
  Swap 39 and -2
  List after swap: [-13, -65, -12, -93, -2, 39, -35, -98, 86]
  Compare 39 and -35
  Swap 39 and -35
  List after swap: [-13, -65, -12, -93, -2, -35, 39, -98, 86]
  Compare 39 and -98
  Swap 39 and -98
  List after swap: [-13, -65, -12, -93, -2, -35, -98, 39, 86]

Pass 3:
  Compare -13 and -65
  Swap -13 and -65
  List after swap: [-65, -13, -12, -93, -2, -35, -98, 39, 86]
  Compare -13 and -12
  No swap needed
  Compare -12 and -93
  Swap -12 and -93
  List after swap: [-65, -13, -93, -12, -2, -35, -98, 39, 86]
  Compare -12 and -2
  No swap needed
  Compare -2 and -35
  Swap -2 and -35
  List after swap: [-65, -13, -93, -12, -35, -2, -98, 39, 86]
  Compare -2 and -98
  Swap -2 and -98
  List after swap: [-65, -13, -93, -12, -35, -98, -2, 39, 86]

Pass 4:
  Compare -65 and -13
  No swap needed
  Compare -13 and -93
  Swap -13 and -93
  List after swap: [-65, -93, -13, -12, -35, -98, -2, 39, 86]
  Compare -13 and -12
  No swap needed
  Compare -12 and -35
  Swap -12 and -35
  List after swap: [-65, -93, -13, -35, -12, -98, -2, 39, 86]
  Compare -12 and -98
  Swap -12 and -98
  List after swap: [-65, -93, -13, -35, -98, -12, -2, 39, 86]

Pass 5:
  Compare -65 and -93
  Swap -65 and -93
  List after swap: [-93, -65, -13, -35, -98, -12, -2, 39, 86]
  Compare -65 and -13
  No swap needed
  Compare -13 and -35
  Swap -13 and -35
  List after swap: [-93, -65, -35, -13, -98, -12, -2, 39, 86]
  Compare -13 and -98
  Swap -13 and -98
  List after swap: [-93, -65, -35, -98, -13, -12, -2, 39, 86]

Pass 6:
  Compare -93 and -65
  No swap needed
  Compare -65 and -35
  No swap needed
  Compare -35 and -98
  Swap -35 and -98
  List after swap: [-93, -65, -98, -35, -13, -12, -2, 39, 86]

Pass 7:
  Compare -93 and -65
  No swap needed
  Compare -65 and -98
  Swap -65 and -98
  List after swap: [-93, -98, -65, -35, -13, -12, -2, 39, 86]

Pass 8:
  Compare -93 and -98
  Swap -93 and -98
  List after swap: [-98, -93, -65, -35, -13, -12, -2, 39, 86]

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

Final sorted list: [-98, -93, -65, -35, -13, -12, -2, 39, 86]
</think>

<response>-98, -93, -65, -35, -13, -12, -2, 39, 86</response>


input: Using the bubble sort method, sort -63, 22, -13, 83, -28, 30, -18 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-63, 22, -13, 83, -28, 30, -18]

Pass 1:
  Compare -63 and 22
  No swap needed
  Compare 22 and -13
  Swap 22 and -13
  List after swap: [-63, -13, 22, 83, -28, 30, -18]
  Compare 22 and 83
  No swap needed
  Compare 83 and -28
  Swap 83 and -28
  List after swap: [-63, -13, 22, -28, 83, 30, -18]
  Compare 83 and 30
  Swap 83 and 30
  List after swap: [-63, -13, 22, -28, 30, 83, -18]
  Compare 83 and -18
  Swap 83 and -18
  List after swap: [-63, -13, 22, -28, 30, -18, 83]

Pass 2:
  Compare -63 and -13
  No swap needed
  Compare -13 and 22
  No swap needed
  Compare 22 and -28
  Swap 22 and -28
  List after swap: [-63, -13, -28, 22, 30, -18, 83]
  Compare 22 and 30
  No swap needed
  Compare 30 and -18
  Swap 30 and -18
  List after swap: [-63, -13, -28, 22, -18, 30, 83]

Pass 3:
  Compare -63 and -13
  No swap needed
  Compare -13 and -28
  Swap -13 and -28
  List after swap: [-63, -28, -13, 22, -18, 30, 83]
  Compare -13 and 22
  No swap needed
  Compare 22 and -18
  Swap 22 and -18
  List after swap: [-63, -28, -13, -18, 22, 30, 83]

Pass 4:
  Compare -63 and -28
  No swap needed
  Compare -28 and -13
  No swap needed
  Compare -13 and -18
  Swap -13 and -18
  List after swap: [-63, -28, -18, -13, 22, 30, 83]

Pass 5:
  Compare -63 and -28
  No swap needed
  Compare -28 and -18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -28, -18, -13, 22, 30, 83]
</think>

<response>-63, -28, -18, -13, 22, 30, 83</response>


input: Implement bubble sort on 28, 5, -52, 57, -71, 76, -51, -7, 46 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [28, 5, -52, 57, -71, 76, -51, -7, 46]

Pass 1:
  Compare 28 and 5
  Swap 28 and 5
  List after swap: [5, 28, -52, 57, -71, 76, -51, -7, 46]
  Compare 28 and -52
  Swap 28 and -52
  List after swap: [5, -52, 28, 57, -71, 76, -51, -7, 46]
  Compare 28 and 57
  No swap needed
  Compare 57 and -71
  Swap 57 and -71
  List after swap: [5, -52, 28, -71, 57, 76, -51, -7, 46]
  Compare 57 and 76
  No swap needed
  Compare 76 and -51
  Swap 76 and -51
  List after swap: [5, -52, 28, -71, 57, -51, 76, -7, 46]
  Compare 76 and -7
  Swap 76 and -7
  List after swap: [5, -52, 28, -71, 57, -51, -7, 76, 46]
  Compare 76 and 46
  Swap 76 and 46
  List after swap: [5, -52, 28, -71, 57, -51, -7, 46, 76]

Pass 2:
  Compare 5 and -52
  Swap 5 and -52
  List after swap: [-52, 5, 28, -71, 57, -51, -7, 46, 76]
  Compare 5 and 28
  No swap needed
  Compare 28 and -71
  Swap 28 and -71
  List after swap: [-52, 5, -71, 28, 57, -51, -7, 46, 76]
  Compare 28 and 57
  No swap needed
  Compare 57 and -51
  Swap 57 and -51
  List after swap: [-52, 5, -71, 28, -51, 57, -7, 46, 76]
  Compare 57 and -7
  Swap 57 and -7
  List after swap: [-52, 5, -71, 28, -51, -7, 57, 46, 76]
  Compare 57 and 46
  Swap 57 and 46
  List after swap: [-52, 5, -71, 28, -51, -7, 46, 57, 76]

Pass 3:
  Compare -52 and 5
  No swap needed
  Compare 5 and -71
  Swap 5 and -71
  List after swap: [-52, -71, 5, 28, -51, -7, 46, 57, 76]
  Compare 5 and 28
  No swap needed
  Compare 28 and -51
  Swap 28 and -51
  List after swap: [-52, -71, 5, -51, 28, -7, 46, 57, 76]
  Compare 28 and -7
  Swap 28 and -7
  List after swap: [-52, -71, 5, -51, -7, 28, 46, 57, 76]
  Compare 28 and 46
  No swap needed

Pass 4:
  Compare -52 and -71
  Swap -52 and -71
  List after swap: [-71, -52, 5, -51, -7, 28, 46, 57, 76]
  Compare -52 and 5
  No swap needed
  Compare 5 and -51
  Swap 5 and -51
  List after swap: [-71, -52, -51, 5, -7, 28, 46, 57, 76]
  Compare 5 and -7
  Swap 5 and -7
  List after swap: [-71, -52, -51, -7, 5, 28, 46, 57, 76]
  Compare 5 and 28
  No swap needed

Pass 5:
  Compare -71 and -52
  No swap needed
  Compare -52 and -51
  No swap needed
  Compare -51 and -7
  No swap needed
  Compare -7 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -52, -51, -7, 5, 28, 46, 57, 76]
</think>

<response>-71, -52, -51, -7, 5, 28, 46, 57, 76</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 40, -68, 82.

output:
<think>
Initial list: [40, -68, 82]

Pass 1:
  Compare 40 and -68
  Swap 40 and -68
  List after swap: [-68, 40, 82]
  Compare 40 and 82
  No swap needed

Pass 2:
  Compare -68 and 40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, 40, 82]
</think>

<response>-68, 40, 82</response>


input: Demonstrate how bubble sort orders the integers 85, 43, -41, -31, -1, 12 in ascending sequence, showing all steps.

output:
<think>
Initial list: [85, 43, -41, -31, -1, 12]

Pass 1:
  Compare 85 and 43
  Swap 85 and 43
  List after swap: [43, 85, -41, -31, -1, 12]
  Compare 85 and -41
  Swap 85 and -41
  List after swap: [43, -41, 85, -31, -1, 12]
  Compare 85 and -31
  Swap 85 and -31
  List after swap: [43, -41, -31, 85, -1, 12]
  Compare 85 and -1
  Swap 85 and -1
  List after swap: [43, -41, -31, -1, 85, 12]
  Compare 85 and 12
  Swap 85 and 12
  List after swap: [43, -41, -31, -1, 12, 85]

Pass 2:
  Compare 43 and -41
  Swap 43 and -41
  List after swap: [-41, 43, -31, -1, 12, 85]
  Compare 43 and -31
  Swap 43 and -31
  List after swap: [-41, -31, 43, -1, 12, 85]
  Compare 43 and -1
  Swap 43 and -1
  List after swap: [-41, -31, -1, 43, 12, 85]
  Compare 43 and 12
  Swap 43 and 12
  List after swap: [-41, -31, -1, 12, 43, 85]

Pass 3:
  Compare -41 and -31
  No swap needed
  Compare -31 and -1
  No swap needed
  Compare -1 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-41, -31, -1, 12, 43, 85]
</think>

<response>-41, -31, -1, 12, 43, 85</response>


input: Use the bubble sort technique to reorder 10, 90, -42, -69, 78, -7, 40 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [10, 90, -42, -69, 78, -7, 40]

Pass 1:
  Compare 10 and 90
  No swap needed
  Compare 90 and -42
  Swap 90 and -42
  List after swap: [10, -42, 90, -69, 78, -7, 40]
  Compare 90 and -69
  Swap 90 and -69
  List after swap: [10, -42, -69, 90, 78, -7, 40]
  Compare 90 and 78
  Swap 90 and 78
  List after swap: [10, -42, -69, 78, 90, -7, 40]
  Compare 90 and -7
  Swap 90 and -7
  List after swap: [10, -42, -69, 78, -7, 90, 40]
  Compare 90 and 40
  Swap 90 and 40
  List after swap: [10, -42, -69, 78, -7, 40, 90]

Pass 2:
  Compare 10 and -42
  Swap 10 and -42
  List after swap: [-42, 10, -69, 78, -7, 40, 90]
  Compare 10 and -69
  Swap 10 and -69
  List after swap: [-42, -69, 10, 78, -7, 40, 90]
  Compare 10 and 78
  No swap needed
  Compare 78 and -7
  Swap 78 and -7
  List after swap: [-42, -69, 10, -7, 78, 40, 90]
  Compare 78 and 40
  Swap 78 and 40
  List after swap: [-42, -69, 10, -7, 40, 78, 90]

Pass 3:
  Compare -42 and -69
  Swap -42 and -69
  List after swap: [-69, -42, 10, -7, 40, 78, 90]
  Compare -42 and 10
  No swap needed
  Compare 10 and -7
  Swap 10 and -7
  List after swap: [-69, -42, -7, 10, 40, 78, 90]
  Compare 10 and 40
  No swap needed

Pass 4:
  Compare -69 and -42
  No swap needed
  Compare -42 and -7
  No swap needed
  Compare -7 and 10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -42, -7, 10, 40, 78, 90]
</think>

<response>-69, -42, -7, 10, 40, 78, 90</response>


input: Sort these integers 98, -41, -79 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [98, -41, -79]

Pass 1:
  Compare 98 and -41
  Swap 98 and -41
  List after swap: [-41, 98, -79]
  Compare 98 and -79
  Swap 98 and -79
  List after swap: [-41, -79, 98]

Pass 2:
  Compare -41 and -79
  Swap -41 and -79
  List after swap: [-79, -41, 98]

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

Final sorted list: [-79, -41, 98]
</think>

<response>-79, -41, 98</response>