input: Use the bubble sort technique to reorder 38, 88, 60, -80, 57, 77, 22, 66, -47 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [38, 88, 60, -80, 57, 77, 22, 66, -47]

Pass 1:
  Compare 38 and 88
  No swap needed
  Compare 88 and 60
  Swap 88 and 60
  List after swap: [38, 60, 88, -80, 57, 77, 22, 66, -47]
  Compare 88 and -80
  Swap 88 and -80
  List after swap: [38, 60, -80, 88, 57, 77, 22, 66, -47]
  Compare 88 and 57
  Swap 88 and 57
  List after swap: [38, 60, -80, 57, 88, 77, 22, 66, -47]
  Compare 88 and 77
  Swap 88 and 77
  List after swap: [38, 60, -80, 57, 77, 88, 22, 66, -47]
  Compare 88 and 22
  Swap 88 and 22
  List after swap: [38, 60, -80, 57, 77, 22, 88, 66, -47]
  Compare 88 and 66
  Swap 88 and 66
  List after swap: [38, 60, -80, 57, 77, 22, 66, 88, -47]
  Compare 88 and -47
  Swap 88 and -47
  List after swap: [38, 60, -80, 57, 77, 22, 66, -47, 88]

Pass 2:
  Compare 38 and 60
  No swap needed
  Compare 60 and -80
  Swap 60 and -80
  List after swap: [38, -80, 60, 57, 77, 22, 66, -47, 88]
  Compare 60 and 57
  Swap 60 and 57
  List after swap: [38, -80, 57, 60, 77, 22, 66, -47, 88]
  Compare 60 and 77
  No swap needed
  Compare 77 and 22
  Swap 77 and 22
  List after swap: [38, -80, 57, 60, 22, 77, 66, -47, 88]
  Compare 77 and 66
  Swap 77 and 66
  List after swap: [38, -80, 57, 60, 22, 66, 77, -47, 88]
  Compare 77 and -47
  Swap 77 and -47
  List after swap: [38, -80, 57, 60, 22, 66, -47, 77, 88]

Pass 3:
  Compare 38 and -80
  Swap 38 and -80
  List after swap: [-80, 38, 57, 60, 22, 66, -47, 77, 88]
  Compare 38 and 57
  No swap needed
  Compare 57 and 60
  No swap needed
  Compare 60 and 22
  Swap 60 and 22
  List after swap: [-80, 38, 57, 22, 60, 66, -47, 77, 88]
  Compare 60 and 66
  No swap needed
  Compare 66 and -47
  Swap 66 and -47
  List after swap: [-80, 38, 57, 22, 60, -47, 66, 77, 88]

Pass 4:
  Compare -80 and 38
  No swap needed
  Compare 38 and 57
  No swap needed
  Compare 57 and 22
  Swap 57 and 22
  List after swap: [-80, 38, 22, 57, 60, -47, 66, 77, 88]
  Compare 57 and 60
  No swap needed
  Compare 60 and -47
  Swap 60 and -47
  List after swap: [-80, 38, 22, 57, -47, 60, 66, 77, 88]

Pass 5:
  Compare -80 and 38
  No swap needed
  Compare 38 and 22
  Swap 38 and 22
  List after swap: [-80, 22, 38, 57, -47, 60, 66, 77, 88]
  Compare 38 and 57
  No swap needed
  Compare 57 and -47
  Swap 57 and -47
  List after swap: [-80, 22, 38, -47, 57, 60, 66, 77, 88]

Pass 6:
  Compare -80 and 22
  No swap needed
  Compare 22 and 38
  No swap needed
  Compare 38 and -47
  Swap 38 and -47
  List after swap: [-80, 22, -47, 38, 57, 60, 66, 77, 88]

Pass 7:
  Compare -80 and 22
  No swap needed
  Compare 22 and -47
  Swap 22 and -47
  List after swap: [-80, -47, 22, 38, 57, 60, 66, 77, 88]

Pass 8:
  Compare -80 and -47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -47, 22, 38, 57, 60, 66, 77, 88]
</think>

<response>-80, -47, 22, 38, 57, 60, 66, 77, 88</response>


input: Using the bubble sort method, sort 60, -25, -90, 16, -58, 10, 86 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [60, -25, -90, 16, -58, 10, 86]

Pass 1:
  Compare 60 and -25
  Swap 60 and -25
  List after swap: [-25, 60, -90, 16, -58, 10, 86]
  Compare 60 and -90
  Swap 60 and -90
  List after swap: [-25, -90, 60, 16, -58, 10, 86]
  Compare 60 and 16
  Swap 60 and 16
  List after swap: [-25, -90, 16, 60, -58, 10, 86]
  Compare 60 and -58
  Swap 60 and -58
  List after swap: [-25, -90, 16, -58, 60, 10, 86]
  Compare 60 and 10
  Swap 60 and 10
  List after swap: [-25, -90, 16, -58, 10, 60, 86]
  Compare 60 and 86
  No swap needed

Pass 2:
  Compare -25 and -90
  Swap -25 and -90
  List after swap: [-90, -25, 16, -58, 10, 60, 86]
  Compare -25 and 16
  No swap needed
  Compare 16 and -58
  Swap 16 and -58
  List after swap: [-90, -25, -58, 16, 10, 60, 86]
  Compare 16 and 10
  Swap 16 and 10
  List after swap: [-90, -25, -58, 10, 16, 60, 86]
  Compare 16 and 60
  No swap needed

Pass 3:
  Compare -90 and -25
  No swap needed
  Compare -25 and -58
  Swap -25 and -58
  List after swap: [-90, -58, -25, 10, 16, 60, 86]
  Compare -25 and 10
  No swap needed
  Compare 10 and 16
  No swap needed

Pass 4:
  Compare -90 and -58
  No swap needed
  Compare -58 and -25
  No swap needed
  Compare -25 and 10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -58, -25, 10, 16, 60, 86]
</think>

<response>-90, -58, -25, 10, 16, 60, 86</response>


input: Demonstrate how bubble sort orders the integers -1, 93, -15, -84, -57, 65, -76, 31, 53 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-1, 93, -15, -84, -57, 65, -76, 31, 53]

Pass 1:
  Compare -1 and 93
  No swap needed
  Compare 93 and -15
  Swap 93 and -15
  List after swap: [-1, -15, 93, -84, -57, 65, -76, 31, 53]
  Compare 93 and -84
  Swap 93 and -84
  List after swap: [-1, -15, -84, 93, -57, 65, -76, 31, 53]
  Compare 93 and -57
  Swap 93 and -57
  List after swap: [-1, -15, -84, -57, 93, 65, -76, 31, 53]
  Compare 93 and 65
  Swap 93 and 65
  List after swap: [-1, -15, -84, -57, 65, 93, -76, 31, 53]
  Compare 93 and -76
  Swap 93 and -76
  List after swap: [-1, -15, -84, -57, 65, -76, 93, 31, 53]
  Compare 93 and 31
  Swap 93 and 31
  List after swap: [-1, -15, -84, -57, 65, -76, 31, 93, 53]
  Compare 93 and 53
  Swap 93 and 53
  List after swap: [-1, -15, -84, -57, 65, -76, 31, 53, 93]

Pass 2:
  Compare -1 and -15
  Swap -1 and -15
  List after swap: [-15, -1, -84, -57, 65, -76, 31, 53, 93]
  Compare -1 and -84
  Swap -1 and -84
  List after swap: [-15, -84, -1, -57, 65, -76, 31, 53, 93]
  Compare -1 and -57
  Swap -1 and -57
  List after swap: [-15, -84, -57, -1, 65, -76, 31, 53, 93]
  Compare -1 and 65
  No swap needed
  Compare 65 and -76
  Swap 65 and -76
  List after swap: [-15, -84, -57, -1, -76, 65, 31, 53, 93]
  Compare 65 and 31
  Swap 65 and 31
  List after swap: [-15, -84, -57, -1, -76, 31, 65, 53, 93]
  Compare 65 and 53
  Swap 65 and 53
  List after swap: [-15, -84, -57, -1, -76, 31, 53, 65, 93]

Pass 3:
  Compare -15 and -84
  Swap -15 and -84
  List after swap: [-84, -15, -57, -1, -76, 31, 53, 65, 93]
  Compare -15 and -57
  Swap -15 and -57
  List after swap: [-84, -57, -15, -1, -76, 31, 53, 65, 93]
  Compare -15 and -1
  No swap needed
  Compare -1 and -76
  Swap -1 and -76
  List after swap: [-84, -57, -15, -76, -1, 31, 53, 65, 93]
  Compare -1 and 31
  No swap needed
  Compare 31 and 53
  No swap needed

Pass 4:
  Compare -84 and -57
  No swap needed
  Compare -57 and -15
  No swap needed
  Compare -15 and -76
  Swap -15 and -76
  List after swap: [-84, -57, -76, -15, -1, 31, 53, 65, 93]
  Compare -15 and -1
  No swap needed
  Compare -1 and 31
  No swap needed

Pass 5:
  Compare -84 and -57
  No swap needed
  Compare -57 and -76
  Swap -57 and -76
  List after swap: [-84, -76, -57, -15, -1, 31, 53, 65, 93]
  Compare -57 and -15
  No swap needed
  Compare -15 and -1
  No swap needed

Pass 6:
  Compare -84 and -76
  No swap needed
  Compare -76 and -57
  No swap needed
  Compare -57 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -76, -57, -15, -1, 31, 53, 65, 93]
</think>

<response>-84, -76, -57, -15, -1, 31, 53, 65, 93</response>


input: Arrange the numbers -71, -28, 91, 77, 69, 72 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-71, -28, 91, 77, 69, 72]

Pass 1:
  Compare -71 and -28
  No swap needed
  Compare -28 and 91
  No swap needed
  Compare 91 and 77
  Swap 91 and 77
  List after swap: [-71, -28, 77, 91, 69, 72]
  Compare 91 and 69
  Swap 91 and 69
  List after swap: [-71, -28, 77, 69, 91, 72]
  Compare 91 and 72
  Swap 91 and 72
  List after swap: [-71, -28, 77, 69, 72, 91]

Pass 2:
  Compare -71 and -28
  No swap needed
  Compare -28 and 77
  No swap needed
  Compare 77 and 69
  Swap 77 and 69
  List after swap: [-71, -28, 69, 77, 72, 91]
  Compare 77 and 72
  Swap 77 and 72
  List after swap: [-71, -28, 69, 72, 77, 91]

Pass 3:
  Compare -71 and -28
  No swap needed
  Compare -28 and 69
  No swap needed
  Compare 69 and 72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -28, 69, 72, 77, 91]
</think>

<response>-71, -28, 69, 72, 77, 91</response>


input: Implement bubble sort on -6, 58, -10, -49, 49, -69, 23 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-6, 58, -10, -49, 49, -69, 23]

Pass 1:
  Compare -6 and 58
  No swap needed
  Compare 58 and -10
  Swap 58 and -10
  List after swap: [-6, -10, 58, -49, 49, -69, 23]
  Compare 58 and -49
  Swap 58 and -49
  List after swap: [-6, -10, -49, 58, 49, -69, 23]
  Compare 58 and 49
  Swap 58 and 49
  List after swap: [-6, -10, -49, 49, 58, -69, 23]
  Compare 58 and -69
  Swap 58 and -69
  List after swap: [-6, -10, -49, 49, -69, 58, 23]
  Compare 58 and 23
  Swap 58 and 23
  List after swap: [-6, -10, -49, 49, -69, 23, 58]

Pass 2:
  Compare -6 and -10
  Swap -6 and -10
  List after swap: [-10, -6, -49, 49, -69, 23, 58]
  Compare -6 and -49
  Swap -6 and -49
  List after swap: [-10, -49, -6, 49, -69, 23, 58]
  Compare -6 and 49
  No swap needed
  Compare 49 and -69
  Swap 49 and -69
  List after swap: [-10, -49, -6, -69, 49, 23, 58]
  Compare 49 and 23
  Swap 49 and 23
  List after swap: [-10, -49, -6, -69, 23, 49, 58]

Pass 3:
  Compare -10 and -49
  Swap -10 and -49
  List after swap: [-49, -10, -6, -69, 23, 49, 58]
  Compare -10 and -6
  No swap needed
  Compare -6 and -69
  Swap -6 and -69
  List after swap: [-49, -10, -69, -6, 23, 49, 58]
  Compare -6 and 23
  No swap needed

Pass 4:
  Compare -49 and -10
  No swap needed
  Compare -10 and -69
  Swap -10 and -69
  List after swap: [-49, -69, -10, -6, 23, 49, 58]
  Compare -10 and -6
  No swap needed

Pass 5:
  Compare -49 and -69
  Swap -49 and -69
  List after swap: [-69, -49, -10, -6, 23, 49, 58]
  Compare -49 and -10
  No swap needed

Pass 6:
  Compare -69 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -49, -10, -6, 23, 49, 58]
</think>

<response>-69, -49, -10, -6, 23, 49, 58</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -56, -11, 21, 8.

output:
<think>
Initial list: [-56, -11, 21, 8]

Pass 1:
  Compare -56 and -11
  No swap needed
  Compare -11 and 21
  No swap needed
  Compare 21 and 8
  Swap 21 and 8
  List after swap: [-56, -11, 8, 21]

Pass 2:
  Compare -56 and -11
  No swap needed
  Compare -11 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -11, 8, 21]
</think>

<response>-56, -11, 8, 21</response>


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

output:
<think>
Initial list: [10, -67]

Pass 1:
  Compare 10 and -67
  Swap 10 and -67
  List after swap: [-67, 10]

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

Final sorted list: [-67, 10]
</think>

<response>-67, 10</response>


input: Sort the list -72, -71, 38 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-72, -71, 38]

Pass 1:
  Compare -72 and -71
  No swap needed
  Compare -71 and 38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -71, 38]
</think>

<response>-72, -71, 38</response>


input: Sort these integers 77, 42, -25, -65, -89, 94, -31, 75, -97, -26 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [77, 42, -25, -65, -89, 94, -31, 75, -97, -26]

Pass 1:
  Compare 77 and 42
  Swap 77 and 42
  List after swap: [42, 77, -25, -65, -89, 94, -31, 75, -97, -26]
  Compare 77 and -25
  Swap 77 and -25
  List after swap: [42, -25, 77, -65, -89, 94, -31, 75, -97, -26]
  Compare 77 and -65
  Swap 77 and -65
  List after swap: [42, -25, -65, 77, -89, 94, -31, 75, -97, -26]
  Compare 77 and -89
  Swap 77 and -89
  List after swap: [42, -25, -65, -89, 77, 94, -31, 75, -97, -26]
  Compare 77 and 94
  No swap needed
  Compare 94 and -31
  Swap 94 and -31
  List after swap: [42, -25, -65, -89, 77, -31, 94, 75, -97, -26]
  Compare 94 and 75
  Swap 94 and 75
  List after swap: [42, -25, -65, -89, 77, -31, 75, 94, -97, -26]
  Compare 94 and -97
  Swap 94 and -97
  List after swap: [42, -25, -65, -89, 77, -31, 75, -97, 94, -26]
  Compare 94 and -26
  Swap 94 and -26
  List after swap: [42, -25, -65, -89, 77, -31, 75, -97, -26, 94]

Pass 2:
  Compare 42 and -25
  Swap 42 and -25
  List after swap: [-25, 42, -65, -89, 77, -31, 75, -97, -26, 94]
  Compare 42 and -65
  Swap 42 and -65
  List after swap: [-25, -65, 42, -89, 77, -31, 75, -97, -26, 94]
  Compare 42 and -89
  Swap 42 and -89
  List after swap: [-25, -65, -89, 42, 77, -31, 75, -97, -26, 94]
  Compare 42 and 77
  No swap needed
  Compare 77 and -31
  Swap 77 and -31
  List after swap: [-25, -65, -89, 42, -31, 77, 75, -97, -26, 94]
  Compare 77 and 75
  Swap 77 and 75
  List after swap: [-25, -65, -89, 42, -31, 75, 77, -97, -26, 94]
  Compare 77 and -97
  Swap 77 and -97
  List after swap: [-25, -65, -89, 42, -31, 75, -97, 77, -26, 94]
  Compare 77 and -26
  Swap 77 and -26
  List after swap: [-25, -65, -89, 42, -31, 75, -97, -26, 77, 94]

Pass 3:
  Compare -25 and -65
  Swap -25 and -65
  List after swap: [-65, -25, -89, 42, -31, 75, -97, -26, 77, 94]
  Compare -25 and -89
  Swap -25 and -89
  List after swap: [-65, -89, -25, 42, -31, 75, -97, -26, 77, 94]
  Compare -25 and 42
  No swap needed
  Compare 42 and -31
  Swap 42 and -31
  List after swap: [-65, -89, -25, -31, 42, 75, -97, -26, 77, 94]
  Compare 42 and 75
  No swap needed
  Compare 75 and -97
  Swap 75 and -97
  List after swap: [-65, -89, -25, -31, 42, -97, 75, -26, 77, 94]
  Compare 75 and -26
  Swap 75 and -26
  List after swap: [-65, -89, -25, -31, 42, -97, -26, 75, 77, 94]

Pass 4:
  Compare -65 and -89
  Swap -65 and -89
  List after swap: [-89, -65, -25, -31, 42, -97, -26, 75, 77, 94]
  Compare -65 and -25
  No swap needed
  Compare -25 and -31
  Swap -25 and -31
  List after swap: [-89, -65, -31, -25, 42, -97, -26, 75, 77, 94]
  Compare -25 and 42
  No swap needed
  Compare 42 and -97
  Swap 42 and -97
  List after swap: [-89, -65, -31, -25, -97, 42, -26, 75, 77, 94]
  Compare 42 and -26
  Swap 42 and -26
  List after swap: [-89, -65, -31, -25, -97, -26, 42, 75, 77, 94]

Pass 5:
  Compare -89 and -65
  No swap needed
  Compare -65 and -31
  No swap needed
  Compare -31 and -25
  No swap needed
  Compare -25 and -97
  Swap -25 and -97
  List after swap: [-89, -65, -31, -97, -25, -26, 42, 75, 77, 94]
  Compare -25 and -26
  Swap -25 and -26
  List after swap: [-89, -65, -31, -97, -26, -25, 42, 75, 77, 94]

Pass 6:
  Compare -89 and -65
  No swap needed
  Compare -65 and -31
  No swap needed
  Compare -31 and -97
  Swap -31 and -97
  List after swap: [-89, -65, -97, -31, -26, -25, 42, 75, 77, 94]
  Compare -31 and -26
  No swap needed

Pass 7:
  Compare -89 and -65
  No swap needed
  Compare -65 and -97
  Swap -65 and -97
  List after swap: [-89, -97, -65, -31, -26, -25, 42, 75, 77, 94]
  Compare -65 and -31
  No swap needed

Pass 8:
  Compare -89 and -97
  Swap -89 and -97
  List after swap: [-97, -89, -65, -31, -26, -25, 42, 75, 77, 94]
  Compare -89 and -65
  No swap needed

Pass 9:
  Compare -97 and -89
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -89, -65, -31, -26, -25, 42, 75, 77, 94]
</think>

<response>-97, -89, -65, -31, -26, -25, 42, 75, 77, 94</response>


input: Execute bubble sort to sort 71, -26, 18, 38 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [71, -26, 18, 38]

Pass 1:
  Compare 71 and -26
  Swap 71 and -26
  List after swap: [-26, 71, 18, 38]
  Compare 71 and 18
  Swap 71 and 18
  List after swap: [-26, 18, 71, 38]
  Compare 71 and 38
  Swap 71 and 38
  List after swap: [-26, 18, 38, 71]

Pass 2:
  Compare -26 and 18
  No swap needed
  Compare 18 and 38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-26, 18, 38, 71]
</think>

<response>-26, 18, 38, 71</response>


input: Sort these integers -94, -5, 5, -1, -30, -83 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-94, -5, 5, -1, -30, -83]

Pass 1:
  Compare -94 and -5
  No swap needed
  Compare -5 and 5
  No swap needed
  Compare 5 and -1
  Swap 5 and -1
  List after swap: [-94, -5, -1, 5, -30, -83]
  Compare 5 and -30
  Swap 5 and -30
  List after swap: [-94, -5, -1, -30, 5, -83]
  Compare 5 and -83
  Swap 5 and -83
  List after swap: [-94, -5, -1, -30, -83, 5]

Pass 2:
  Compare -94 and -5
  No swap needed
  Compare -5 and -1
  No swap needed
  Compare -1 and -30
  Swap -1 and -30
  List after swap: [-94, -5, -30, -1, -83, 5]
  Compare -1 and -83
  Swap -1 and -83
  List after swap: [-94, -5, -30, -83, -1, 5]

Pass 3:
  Compare -94 and -5
  No swap needed
  Compare -5 and -30
  Swap -5 and -30
  List after swap: [-94, -30, -5, -83, -1, 5]
  Compare -5 and -83
  Swap -5 and -83
  List after swap: [-94, -30, -83, -5, -1, 5]

Pass 4:
  Compare -94 and -30
  No swap needed
  Compare -30 and -83
  Swap -30 and -83
  List after swap: [-94, -83, -30, -5, -1, 5]

Pass 5:
  Compare -94 and -83
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -83, -30, -5, -1, 5]
</think>

<response>-94, -83, -30, -5, -1, 5</response>


input: Use the bubble sort technique to reorder -2, -55, 21 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-2, -55, 21]

Pass 1:
  Compare -2 and -55
  Swap -2 and -55
  List after swap: [-55, -2, 21]
  Compare -2 and 21
  No swap needed

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

Final sorted list: [-55, -2, 21]
</think>

<response>-55, -2, 21</response>


input: Demonstrate how bubble sort orders the integers 85, -39, 74, 21 in ascending sequence, showing all steps.

output:
<think>
Initial list: [85, -39, 74, 21]

Pass 1:
  Compare 85 and -39
  Swap 85 and -39
  List after swap: [-39, 85, 74, 21]
  Compare 85 and 74
  Swap 85 and 74
  List after swap: [-39, 74, 85, 21]
  Compare 85 and 21
  Swap 85 and 21
  List after swap: [-39, 74, 21, 85]

Pass 2:
  Compare -39 and 74
  No swap needed
  Compare 74 and 21
  Swap 74 and 21
  List after swap: [-39, 21, 74, 85]

Pass 3:
  Compare -39 and 21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-39, 21, 74, 85]
</think>

<response>-39, 21, 74, 85</response>


input: Sort these integers 32, 96, -74, -42, -1 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [32, 96, -74, -42, -1]

Pass 1:
  Compare 32 and 96
  No swap needed
  Compare 96 and -74
  Swap 96 and -74
  List after swap: [32, -74, 96, -42, -1]
  Compare 96 and -42
  Swap 96 and -42
  List after swap: [32, -74, -42, 96, -1]
  Compare 96 and -1
  Swap 96 and -1
  List after swap: [32, -74, -42, -1, 96]

Pass 2:
  Compare 32 and -74
  Swap 32 and -74
  List after swap: [-74, 32, -42, -1, 96]
  Compare 32 and -42
  Swap 32 and -42
  List after swap: [-74, -42, 32, -1, 96]
  Compare 32 and -1
  Swap 32 and -1
  List after swap: [-74, -42, -1, 32, 96]

Pass 3:
  Compare -74 and -42
  No swap needed
  Compare -42 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -42, -1, 32, 96]
</think>

<response>-74, -42, -1, 32, 96</response>


input: Carry out the bubble sort algorithm on -25, 28, -73, 27 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-25, 28, -73, 27]

Pass 1:
  Compare -25 and 28
  No swap needed
  Compare 28 and -73
  Swap 28 and -73
  List after swap: [-25, -73, 28, 27]
  Compare 28 and 27
  Swap 28 and 27
  List after swap: [-25, -73, 27, 28]

Pass 2:
  Compare -25 and -73
  Swap -25 and -73
  List after swap: [-73, -25, 27, 28]
  Compare -25 and 27
  No swap needed

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

Final sorted list: [-73, -25, 27, 28]
</think>

<response>-73, -25, 27, 28</response>


input: Sort these integers -100, 95, 50 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-100, 95, 50]

Pass 1:
  Compare -100 and 95
  No swap needed
  Compare 95 and 50
  Swap 95 and 50
  List after swap: [-100, 50, 95]

Pass 2:
  Compare -100 and 50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, 50, 95]
</think>

<response>-100, 50, 95</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -39, -20, 19, -31, -68, 87.

output:
<think>
Initial list: [-39, -20, 19, -31, -68, 87]

Pass 1:
  Compare -39 and -20
  No swap needed
  Compare -20 and 19
  No swap needed
  Compare 19 and -31
  Swap 19 and -31
  List after swap: [-39, -20, -31, 19, -68, 87]
  Compare 19 and -68
  Swap 19 and -68
  List after swap: [-39, -20, -31, -68, 19, 87]
  Compare 19 and 87
  No swap needed

Pass 2:
  Compare -39 and -20
  No swap needed
  Compare -20 and -31
  Swap -20 and -31
  List after swap: [-39, -31, -20, -68, 19, 87]
  Compare -20 and -68
  Swap -20 and -68
  List after swap: [-39, -31, -68, -20, 19, 87]
  Compare -20 and 19
  No swap needed

Pass 3:
  Compare -39 and -31
  No swap needed
  Compare -31 and -68
  Swap -31 and -68
  List after swap: [-39, -68, -31, -20, 19, 87]
  Compare -31 and -20
  No swap needed

Pass 4:
  Compare -39 and -68
  Swap -39 and -68
  List after swap: [-68, -39, -31, -20, 19, 87]
  Compare -39 and -31
  No swap needed

Pass 5:
  Compare -68 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -39, -31, -20, 19, 87]
</think>

<response>-68, -39, -31, -20, 19, 87</response>


input: Demonstrate how bubble sort orders the integers -5, -41, -53, -12, -83, 36, 85, -80 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-5, -41, -53, -12, -83, 36, 85, -80]

Pass 1:
  Compare -5 and -41
  Swap -5 and -41
  List after swap: [-41, -5, -53, -12, -83, 36, 85, -80]
  Compare -5 and -53
  Swap -5 and -53
  List after swap: [-41, -53, -5, -12, -83, 36, 85, -80]
  Compare -5 and -12
  Swap -5 and -12
  List after swap: [-41, -53, -12, -5, -83, 36, 85, -80]
  Compare -5 and -83
  Swap -5 and -83
  List after swap: [-41, -53, -12, -83, -5, 36, 85, -80]
  Compare -5 and 36
  No swap needed
  Compare 36 and 85
  No swap needed
  Compare 85 and -80
  Swap 85 and -80
  List after swap: [-41, -53, -12, -83, -5, 36, -80, 85]

Pass 2:
  Compare -41 and -53
  Swap -41 and -53
  List after swap: [-53, -41, -12, -83, -5, 36, -80, 85]
  Compare -41 and -12
  No swap needed
  Compare -12 and -83
  Swap -12 and -83
  List after swap: [-53, -41, -83, -12, -5, 36, -80, 85]
  Compare -12 and -5
  No swap needed
  Compare -5 and 36
  No swap needed
  Compare 36 and -80
  Swap 36 and -80
  List after swap: [-53, -41, -83, -12, -5, -80, 36, 85]

Pass 3:
  Compare -53 and -41
  No swap needed
  Compare -41 and -83
  Swap -41 and -83
  List after swap: [-53, -83, -41, -12, -5, -80, 36, 85]
  Compare -41 and -12
  No swap needed
  Compare -12 and -5
  No swap needed
  Compare -5 and -80
  Swap -5 and -80
  List after swap: [-53, -83, -41, -12, -80, -5, 36, 85]

Pass 4:
  Compare -53 and -83
  Swap -53 and -83
  List after swap: [-83, -53, -41, -12, -80, -5, 36, 85]
  Compare -53 and -41
  No swap needed
  Compare -41 and -12
  No swap needed
  Compare -12 and -80
  Swap -12 and -80
  List after swap: [-83, -53, -41, -80, -12, -5, 36, 85]

Pass 5:
  Compare -83 and -53
  No swap needed
  Compare -53 and -41
  No swap needed
  Compare -41 and -80
  Swap -41 and -80
  List after swap: [-83, -53, -80, -41, -12, -5, 36, 85]

Pass 6:
  Compare -83 and -53
  No swap needed
  Compare -53 and -80
  Swap -53 and -80
  List after swap: [-83, -80, -53, -41, -12, -5, 36, 85]

Pass 7:
  Compare -83 and -80
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -80, -53, -41, -12, -5, 36, 85]
</think>

<response>-83, -80, -53, -41, -12, -5, 36, 85</response>


input: Using the bubble sort method, sort -37, -61, 27, 54, 62, -55 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-37, -61, 27, 54, 62, -55]

Pass 1:
  Compare -37 and -61
  Swap -37 and -61
  List after swap: [-61, -37, 27, 54, 62, -55]
  Compare -37 and 27
  No swap needed
  Compare 27 and 54
  No swap needed
  Compare 54 and 62
  No swap needed
  Compare 62 and -55
  Swap 62 and -55
  List after swap: [-61, -37, 27, 54, -55, 62]

Pass 2:
  Compare -61 and -37
  No swap needed
  Compare -37 and 27
  No swap needed
  Compare 27 and 54
  No swap needed
  Compare 54 and -55
  Swap 54 and -55
  List after swap: [-61, -37, 27, -55, 54, 62]

Pass 3:
  Compare -61 and -37
  No swap needed
  Compare -37 and 27
  No swap needed
  Compare 27 and -55
  Swap 27 and -55
  List after swap: [-61, -37, -55, 27, 54, 62]

Pass 4:
  Compare -61 and -37
  No swap needed
  Compare -37 and -55
  Swap -37 and -55
  List after swap: [-61, -55, -37, 27, 54, 62]

Pass 5:
  Compare -61 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -55, -37, 27, 54, 62]
</think>

<response>-61, -55, -37, 27, 54, 62</response>


input: Sort these integers 57, -74, 30, -27, 54, -75 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [57, -74, 30, -27, 54, -75]

Pass 1:
  Compare 57 and -74
  Swap 57 and -74
  List after swap: [-74, 57, 30, -27, 54, -75]
  Compare 57 and 30
  Swap 57 and 30
  List after swap: [-74, 30, 57, -27, 54, -75]
  Compare 57 and -27
  Swap 57 and -27
  List after swap: [-74, 30, -27, 57, 54, -75]
  Compare 57 and 54
  Swap 57 and 54
  List after swap: [-74, 30, -27, 54, 57, -75]
  Compare 57 and -75
  Swap 57 and -75
  List after swap: [-74, 30, -27, 54, -75, 57]

Pass 2:
  Compare -74 and 30
  No swap needed
  Compare 30 and -27
  Swap 30 and -27
  List after swap: [-74, -27, 30, 54, -75, 57]
  Compare 30 and 54
  No swap needed
  Compare 54 and -75
  Swap 54 and -75
  List after swap: [-74, -27, 30, -75, 54, 57]

Pass 3:
  Compare -74 and -27
  No swap needed
  Compare -27 and 30
  No swap needed
  Compare 30 and -75
  Swap 30 and -75
  List after swap: [-74, -27, -75, 30, 54, 57]

Pass 4:
  Compare -74 and -27
  No swap needed
  Compare -27 and -75
  Swap -27 and -75
  List after swap: [-74, -75, -27, 30, 54, 57]

Pass 5:
  Compare -74 and -75
  Swap -74 and -75
  List after swap: [-75, -74, -27, 30, 54, 57]

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

Final sorted list: [-75, -74, -27, 30, 54, 57]
</think>

<response>-75, -74, -27, 30, 54, 57</response>


input: Sort these integers -3, 15, 76, -32, 13, 95, 89 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-3, 15, 76, -32, 13, 95, 89]

Pass 1:
  Compare -3 and 15
  No swap needed
  Compare 15 and 76
  No swap needed
  Compare 76 and -32
  Swap 76 and -32
  List after swap: [-3, 15, -32, 76, 13, 95, 89]
  Compare 76 and 13
  Swap 76 and 13
  List after swap: [-3, 15, -32, 13, 76, 95, 89]
  Compare 76 and 95
  No swap needed
  Compare 95 and 89
  Swap 95 and 89
  List after swap: [-3, 15, -32, 13, 76, 89, 95]

Pass 2:
  Compare -3 and 15
  No swap needed
  Compare 15 and -32
  Swap 15 and -32
  List after swap: [-3, -32, 15, 13, 76, 89, 95]
  Compare 15 and 13
  Swap 15 and 13
  List after swap: [-3, -32, 13, 15, 76, 89, 95]
  Compare 15 and 76
  No swap needed
  Compare 76 and 89
  No swap needed

Pass 3:
  Compare -3 and -32
  Swap -3 and -32
  List after swap: [-32, -3, 13, 15, 76, 89, 95]
  Compare -3 and 13
  No swap needed
  Compare 13 and 15
  No swap needed
  Compare 15 and 76
  No swap needed

Pass 4:
  Compare -32 and -3
  No swap needed
  Compare -3 and 13
  No swap needed
  Compare 13 and 15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-32, -3, 13, 15, 76, 89, 95]
</think>

<response>-32, -3, 13, 15, 76, 89, 95</response>


input: Use the bubble sort technique to reorder 84, -74, -67, 23, 31, -91, 4, 82, -82 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [84, -74, -67, 23, 31, -91, 4, 82, -82]

Pass 1:
  Compare 84 and -74
  Swap 84 and -74
  List after swap: [-74, 84, -67, 23, 31, -91, 4, 82, -82]
  Compare 84 and -67
  Swap 84 and -67
  List after swap: [-74, -67, 84, 23, 31, -91, 4, 82, -82]
  Compare 84 and 23
  Swap 84 and 23
  List after swap: [-74, -67, 23, 84, 31, -91, 4, 82, -82]
  Compare 84 and 31
  Swap 84 and 31
  List after swap: [-74, -67, 23, 31, 84, -91, 4, 82, -82]
  Compare 84 and -91
  Swap 84 and -91
  List after swap: [-74, -67, 23, 31, -91, 84, 4, 82, -82]
  Compare 84 and 4
  Swap 84 and 4
  List after swap: [-74, -67, 23, 31, -91, 4, 84, 82, -82]
  Compare 84 and 82
  Swap 84 and 82
  List after swap: [-74, -67, 23, 31, -91, 4, 82, 84, -82]
  Compare 84 and -82
  Swap 84 and -82
  List after swap: [-74, -67, 23, 31, -91, 4, 82, -82, 84]

Pass 2:
  Compare -74 and -67
  No swap needed
  Compare -67 and 23
  No swap needed
  Compare 23 and 31
  No swap needed
  Compare 31 and -91
  Swap 31 and -91
  List after swap: [-74, -67, 23, -91, 31, 4, 82, -82, 84]
  Compare 31 and 4
  Swap 31 and 4
  List after swap: [-74, -67, 23, -91, 4, 31, 82, -82, 84]
  Compare 31 and 82
  No swap needed
  Compare 82 and -82
  Swap 82 and -82
  List after swap: [-74, -67, 23, -91, 4, 31, -82, 82, 84]

Pass 3:
  Compare -74 and -67
  No swap needed
  Compare -67 and 23
  No swap needed
  Compare 23 and -91
  Swap 23 and -91
  List after swap: [-74, -67, -91, 23, 4, 31, -82, 82, 84]
  Compare 23 and 4
  Swap 23 and 4
  List after swap: [-74, -67, -91, 4, 23, 31, -82, 82, 84]
  Compare 23 and 31
  No swap needed
  Compare 31 and -82
  Swap 31 and -82
  List after swap: [-74, -67, -91, 4, 23, -82, 31, 82, 84]

Pass 4:
  Compare -74 and -67
  No swap needed
  Compare -67 and -91
  Swap -67 and -91
  List after swap: [-74, -91, -67, 4, 23, -82, 31, 82, 84]
  Compare -67 and 4
  No swap needed
  Compare 4 and 23
  No swap needed
  Compare 23 and -82
  Swap 23 and -82
  List after swap: [-74, -91, -67, 4, -82, 23, 31, 82, 84]

Pass 5:
  Compare -74 and -91
  Swap -74 and -91
  List after swap: [-91, -74, -67, 4, -82, 23, 31, 82, 84]
  Compare -74 and -67
  No swap needed
  Compare -67 and 4
  No swap needed
  Compare 4 and -82
  Swap 4 and -82
  List after swap: [-91, -74, -67, -82, 4, 23, 31, 82, 84]

Pass 6:
  Compare -91 and -74
  No swap needed
  Compare -74 and -67
  No swap needed
  Compare -67 and -82
  Swap -67 and -82
  List after swap: [-91, -74, -82, -67, 4, 23, 31, 82, 84]

Pass 7:
  Compare -91 and -74
  No swap needed
  Compare -74 and -82
  Swap -74 and -82
  List after swap: [-91, -82, -74, -67, 4, 23, 31, 82, 84]

Pass 8:
  Compare -91 and -82
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -82, -74, -67, 4, 23, 31, 82, 84]
</think>

<response>-91, -82, -74, -67, 4, 23, 31, 82, 84</response>


input: Carry out the bubble sort algorithm on -92, 52, 82, -72, -35, 26 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-92, 52, 82, -72, -35, 26]

Pass 1:
  Compare -92 and 52
  No swap needed
  Compare 52 and 82
  No swap needed
  Compare 82 and -72
  Swap 82 and -72
  List after swap: [-92, 52, -72, 82, -35, 26]
  Compare 82 and -35
  Swap 82 and -35
  List after swap: [-92, 52, -72, -35, 82, 26]
  Compare 82 and 26
  Swap 82 and 26
  List after swap: [-92, 52, -72, -35, 26, 82]

Pass 2:
  Compare -92 and 52
  No swap needed
  Compare 52 and -72
  Swap 52 and -72
  List after swap: [-92, -72, 52, -35, 26, 82]
  Compare 52 and -35
  Swap 52 and -35
  List after swap: [-92, -72, -35, 52, 26, 82]
  Compare 52 and 26
  Swap 52 and 26
  List after swap: [-92, -72, -35, 26, 52, 82]

Pass 3:
  Compare -92 and -72
  No swap needed
  Compare -72 and -35
  No swap needed
  Compare -35 and 26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -72, -35, 26, 52, 82]
</think>

<response>-92, -72, -35, 26, 52, 82</response>


input: Arrange the numbers -45, -10, -17, -67, 67, -100, 76, -2, -78, -22 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-45, -10, -17, -67, 67, -100, 76, -2, -78, -22]

Pass 1:
  Compare -45 and -10
  No swap needed
  Compare -10 and -17
  Swap -10 and -17
  List after swap: [-45, -17, -10, -67, 67, -100, 76, -2, -78, -22]
  Compare -10 and -67
  Swap -10 and -67
  List after swap: [-45, -17, -67, -10, 67, -100, 76, -2, -78, -22]
  Compare -10 and 67
  No swap needed
  Compare 67 and -100
  Swap 67 and -100
  List after swap: [-45, -17, -67, -10, -100, 67, 76, -2, -78, -22]
  Compare 67 and 76
  No swap needed
  Compare 76 and -2
  Swap 76 and -2
  List after swap: [-45, -17, -67, -10, -100, 67, -2, 76, -78, -22]
  Compare 76 and -78
  Swap 76 and -78
  List after swap: [-45, -17, -67, -10, -100, 67, -2, -78, 76, -22]
  Compare 76 and -22
  Swap 76 and -22
  List after swap: [-45, -17, -67, -10, -100, 67, -2, -78, -22, 76]

Pass 2:
  Compare -45 and -17
  No swap needed
  Compare -17 and -67
  Swap -17 and -67
  List after swap: [-45, -67, -17, -10, -100, 67, -2, -78, -22, 76]
  Compare -17 and -10
  No swap needed
  Compare -10 and -100
  Swap -10 and -100
  List after swap: [-45, -67, -17, -100, -10, 67, -2, -78, -22, 76]
  Compare -10 and 67
  No swap needed
  Compare 67 and -2
  Swap 67 and -2
  List after swap: [-45, -67, -17, -100, -10, -2, 67, -78, -22, 76]
  Compare 67 and -78
  Swap 67 and -78
  List after swap: [-45, -67, -17, -100, -10, -2, -78, 67, -22, 76]
  Compare 67 and -22
  Swap 67 and -22
  List after swap: [-45, -67, -17, -100, -10, -2, -78, -22, 67, 76]

Pass 3:
  Compare -45 and -67
  Swap -45 and -67
  List after swap: [-67, -45, -17, -100, -10, -2, -78, -22, 67, 76]
  Compare -45 and -17
  No swap needed
  Compare -17 and -100
  Swap -17 and -100
  List after swap: [-67, -45, -100, -17, -10, -2, -78, -22, 67, 76]
  Compare -17 and -10
  No swap needed
  Compare -10 and -2
  No swap needed
  Compare -2 and -78
  Swap -2 and -78
  List after swap: [-67, -45, -100, -17, -10, -78, -2, -22, 67, 76]
  Compare -2 and -22
  Swap -2 and -22
  List after swap: [-67, -45, -100, -17, -10, -78, -22, -2, 67, 76]

Pass 4:
  Compare -67 and -45
  No swap needed
  Compare -45 and -100
  Swap -45 and -100
  List after swap: [-67, -100, -45, -17, -10, -78, -22, -2, 67, 76]
  Compare -45 and -17
  No swap needed
  Compare -17 and -10
  No swap needed
  Compare -10 and -78
  Swap -10 and -78
  List after swap: [-67, -100, -45, -17, -78, -10, -22, -2, 67, 76]
  Compare -10 and -22
  Swap -10 and -22
  List after swap: [-67, -100, -45, -17, -78, -22, -10, -2, 67, 76]

Pass 5:
  Compare -67 and -100
  Swap -67 and -100
  List after swap: [-100, -67, -45, -17, -78, -22, -10, -2, 67, 76]
  Compare -67 and -45
  No swap needed
  Compare -45 and -17
  No swap needed
  Compare -17 and -78
  Swap -17 and -78
  List after swap: [-100, -67, -45, -78, -17, -22, -10, -2, 67, 76]
  Compare -17 and -22
  Swap -17 and -22
  List after swap: [-100, -67, -45, -78, -22, -17, -10, -2, 67, 76]

Pass 6:
  Compare -100 and -67
  No swap needed
  Compare -67 and -45
  No swap needed
  Compare -45 and -78
  Swap -45 and -78
  List after swap: [-100, -67, -78, -45, -22, -17, -10, -2, 67, 76]
  Compare -45 and -22
  No swap needed

Pass 7:
  Compare -100 and -67
  No swap needed
  Compare -67 and -78
  Swap -67 and -78
  List after swap: [-100, -78, -67, -45, -22, -17, -10, -2, 67, 76]
  Compare -67 and -45
  No swap needed

Pass 8:
  Compare -100 and -78
  No swap needed
  Compare -78 and -67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -78, -67, -45, -22, -17, -10, -2, 67, 76]
</think>

<response>-100, -78, -67, -45, -22, -17, -10, -2, 67, 76</response>


input: Using the bubble sort method, sort -13, -30, -36, 69, 83 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-13, -30, -36, 69, 83]

Pass 1:
  Compare -13 and -30
  Swap -13 and -30
  List after swap: [-30, -13, -36, 69, 83]
  Compare -13 and -36
  Swap -13 and -36
  List after swap: [-30, -36, -13, 69, 83]
  Compare -13 and 69
  No swap needed
  Compare 69 and 83
  No swap needed

Pass 2:
  Compare -30 and -36
  Swap -30 and -36
  List after swap: [-36, -30, -13, 69, 83]
  Compare -30 and -13
  No swap needed
  Compare -13 and 69
  No swap needed

Pass 3:
  Compare -36 and -30
  No swap needed
  Compare -30 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-36, -30, -13, 69, 83]
</think>

<response>-36, -30, -13, 69, 83</response>


input: Carry out the bubble sort algorithm on -91, 54, 40, 12, 67 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-91, 54, 40, 12, 67]

Pass 1:
  Compare -91 and 54
  No swap needed
  Compare 54 and 40
  Swap 54 and 40
  List after swap: [-91, 40, 54, 12, 67]
  Compare 54 and 12
  Swap 54 and 12
  List after swap: [-91, 40, 12, 54, 67]
  Compare 54 and 67
  No swap needed

Pass 2:
  Compare -91 and 40
  No swap needed
  Compare 40 and 12
  Swap 40 and 12
  List after swap: [-91, 12, 40, 54, 67]
  Compare 40 and 54
  No swap needed

Pass 3:
  Compare -91 and 12
  No swap needed
  Compare 12 and 40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, 12, 40, 54, 67]
</think>

<response>-91, 12, 40, 54, 67</response>


input: Carry out the bubble sort algorithm on 95, 3, -72, -96, 40, 50, 48, -58, -45, 71 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [95, 3, -72, -96, 40, 50, 48, -58, -45, 71]

Pass 1:
  Compare 95 and 3
  Swap 95 and 3
  List after swap: [3, 95, -72, -96, 40, 50, 48, -58, -45, 71]
  Compare 95 and -72
  Swap 95 and -72
  List after swap: [3, -72, 95, -96, 40, 50, 48, -58, -45, 71]
  Compare 95 and -96
  Swap 95 and -96
  List after swap: [3, -72, -96, 95, 40, 50, 48, -58, -45, 71]
  Compare 95 and 40
  Swap 95 and 40
  List after swap: [3, -72, -96, 40, 95, 50, 48, -58, -45, 71]
  Compare 95 and 50
  Swap 95 and 50
  List after swap: [3, -72, -96, 40, 50, 95, 48, -58, -45, 71]
  Compare 95 and 48
  Swap 95 and 48
  List after swap: [3, -72, -96, 40, 50, 48, 95, -58, -45, 71]
  Compare 95 and -58
  Swap 95 and -58
  List after swap: [3, -72, -96, 40, 50, 48, -58, 95, -45, 71]
  Compare 95 and -45
  Swap 95 and -45
  List after swap: [3, -72, -96, 40, 50, 48, -58, -45, 95, 71]
  Compare 95 and 71
  Swap 95 and 71
  List after swap: [3, -72, -96, 40, 50, 48, -58, -45, 71, 95]

Pass 2:
  Compare 3 and -72
  Swap 3 and -72
  List after swap: [-72, 3, -96, 40, 50, 48, -58, -45, 71, 95]
  Compare 3 and -96
  Swap 3 and -96
  List after swap: [-72, -96, 3, 40, 50, 48, -58, -45, 71, 95]
  Compare 3 and 40
  No swap needed
  Compare 40 and 50
  No swap needed
  Compare 50 and 48
  Swap 50 and 48
  List after swap: [-72, -96, 3, 40, 48, 50, -58, -45, 71, 95]
  Compare 50 and -58
  Swap 50 and -58
  List after swap: [-72, -96, 3, 40, 48, -58, 50, -45, 71, 95]
  Compare 50 and -45
  Swap 50 and -45
  List after swap: [-72, -96, 3, 40, 48, -58, -45, 50, 71, 95]
  Compare 50 and 71
  No swap needed

Pass 3:
  Compare -72 and -96
  Swap -72 and -96
  List after swap: [-96, -72, 3, 40, 48, -58, -45, 50, 71, 95]
  Compare -72 and 3
  No swap needed
  Compare 3 and 40
  No swap needed
  Compare 40 and 48
  No swap needed
  Compare 48 and -58
  Swap 48 and -58
  List after swap: [-96, -72, 3, 40, -58, 48, -45, 50, 71, 95]
  Compare 48 and -45
  Swap 48 and -45
  List after swap: [-96, -72, 3, 40, -58, -45, 48, 50, 71, 95]
  Compare 48 and 50
  No swap needed

Pass 4:
  Compare -96 and -72
  No swap needed
  Compare -72 and 3
  No swap needed
  Compare 3 and 40
  No swap needed
  Compare 40 and -58
  Swap 40 and -58
  List after swap: [-96, -72, 3, -58, 40, -45, 48, 50, 71, 95]
  Compare 40 and -45
  Swap 40 and -45
  List after swap: [-96, -72, 3, -58, -45, 40, 48, 50, 71, 95]
  Compare 40 and 48
  No swap needed

Pass 5:
  Compare -96 and -72
  No swap needed
  Compare -72 and 3
  No swap needed
  Compare 3 and -58
  Swap 3 and -58
  List after swap: [-96, -72, -58, 3, -45, 40, 48, 50, 71, 95]
  Compare 3 and -45
  Swap 3 and -45
  List after swap: [-96, -72, -58, -45, 3, 40, 48, 50, 71, 95]
  Compare 3 and 40
  No swap needed

Pass 6:
  Compare -96 and -72
  No swap needed
  Compare -72 and -58
  No swap needed
  Compare -58 and -45
  No swap needed
  Compare -45 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -72, -58, -45, 3, 40, 48, 50, 71, 95]
</think>

<response>-96, -72, -58, -45, 3, 40, 48, 50, 71, 95</response>


input: Use the bubble sort technique to reorder -69, 99, -50, 60, -61, 57, -91 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-69, 99, -50, 60, -61, 57, -91]

Pass 1:
  Compare -69 and 99
  No swap needed
  Compare 99 and -50
  Swap 99 and -50
  List after swap: [-69, -50, 99, 60, -61, 57, -91]
  Compare 99 and 60
  Swap 99 and 60
  List after swap: [-69, -50, 60, 99, -61, 57, -91]
  Compare 99 and -61
  Swap 99 and -61
  List after swap: [-69, -50, 60, -61, 99, 57, -91]
  Compare 99 and 57
  Swap 99 and 57
  List after swap: [-69, -50, 60, -61, 57, 99, -91]
  Compare 99 and -91
  Swap 99 and -91
  List after swap: [-69, -50, 60, -61, 57, -91, 99]

Pass 2:
  Compare -69 and -50
  No swap needed
  Compare -50 and 60
  No swap needed
  Compare 60 and -61
  Swap 60 and -61
  List after swap: [-69, -50, -61, 60, 57, -91, 99]
  Compare 60 and 57
  Swap 60 and 57
  List after swap: [-69, -50, -61, 57, 60, -91, 99]
  Compare 60 and -91
  Swap 60 and -91
  List after swap: [-69, -50, -61, 57, -91, 60, 99]

Pass 3:
  Compare -69 and -50
  No swap needed
  Compare -50 and -61
  Swap -50 and -61
  List after swap: [-69, -61, -50, 57, -91, 60, 99]
  Compare -50 and 57
  No swap needed
  Compare 57 and -91
  Swap 57 and -91
  List after swap: [-69, -61, -50, -91, 57, 60, 99]

Pass 4:
  Compare -69 and -61
  No swap needed
  Compare -61 and -50
  No swap needed
  Compare -50 and -91
  Swap -50 and -91
  List after swap: [-69, -61, -91, -50, 57, 60, 99]

Pass 5:
  Compare -69 and -61
  No swap needed
  Compare -61 and -91
  Swap -61 and -91
  List after swap: [-69, -91, -61, -50, 57, 60, 99]

Pass 6:
  Compare -69 and -91
  Swap -69 and -91
  List after swap: [-91, -69, -61, -50, 57, 60, 99]

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

Final sorted list: [-91, -69, -61, -50, 57, 60, 99]
</think>

<response>-91, -69, -61, -50, 57, 60, 99</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 68, -39.

output:
<think>
Initial list: [68, -39]

Pass 1:
  Compare 68 and -39
  Swap 68 and -39
  List after swap: [-39, 68]

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

Final sorted list: [-39, 68]
</think>

<response>-39, 68</response>


input: Execute bubble sort to sort 10, 5, 89, -94, -8, -23, 36, -100 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [10, 5, 89, -94, -8, -23, 36, -100]

Pass 1:
  Compare 10 and 5
  Swap 10 and 5
  List after swap: [5, 10, 89, -94, -8, -23, 36, -100]
  Compare 10 and 89
  No swap needed
  Compare 89 and -94
  Swap 89 and -94
  List after swap: [5, 10, -94, 89, -8, -23, 36, -100]
  Compare 89 and -8
  Swap 89 and -8
  List after swap: [5, 10, -94, -8, 89, -23, 36, -100]
  Compare 89 and -23
  Swap 89 and -23
  List after swap: [5, 10, -94, -8, -23, 89, 36, -100]
  Compare 89 and 36
  Swap 89 and 36
  List after swap: [5, 10, -94, -8, -23, 36, 89, -100]
  Compare 89 and -100
  Swap 89 and -100
  List after swap: [5, 10, -94, -8, -23, 36, -100, 89]

Pass 2:
  Compare 5 and 10
  No swap needed
  Compare 10 and -94
  Swap 10 and -94
  List after swap: [5, -94, 10, -8, -23, 36, -100, 89]
  Compare 10 and -8
  Swap 10 and -8
  List after swap: [5, -94, -8, 10, -23, 36, -100, 89]
  Compare 10 and -23
  Swap 10 and -23
  List after swap: [5, -94, -8, -23, 10, 36, -100, 89]
  Compare 10 and 36
  No swap needed
  Compare 36 and -100
  Swap 36 and -100
  List after swap: [5, -94, -8, -23, 10, -100, 36, 89]

Pass 3:
  Compare 5 and -94
  Swap 5 and -94
  List after swap: [-94, 5, -8, -23, 10, -100, 36, 89]
  Compare 5 and -8
  Swap 5 and -8
  List after swap: [-94, -8, 5, -23, 10, -100, 36, 89]
  Compare 5 and -23
  Swap 5 and -23
  List after swap: [-94, -8, -23, 5, 10, -100, 36, 89]
  Compare 5 and 10
  No swap needed
  Compare 10 and -100
  Swap 10 and -100
  List after swap: [-94, -8, -23, 5, -100, 10, 36, 89]

Pass 4:
  Compare -94 and -8
  No swap needed
  Compare -8 and -23
  Swap -8 and -23
  List after swap: [-94, -23, -8, 5, -100, 10, 36, 89]
  Compare -8 and 5
  No swap needed
  Compare 5 and -100
  Swap 5 and -100
  List after swap: [-94, -23, -8, -100, 5, 10, 36, 89]

Pass 5:
  Compare -94 and -23
  No swap needed
  Compare -23 and -8
  No swap needed
  Compare -8 and -100
  Swap -8 and -100
  List after swap: [-94, -23, -100, -8, 5, 10, 36, 89]

Pass 6:
  Compare -94 and -23
  No swap needed
  Compare -23 and -100
  Swap -23 and -100
  List after swap: [-94, -100, -23, -8, 5, 10, 36, 89]

Pass 7:
  Compare -94 and -100
  Swap -94 and -100
  List after swap: [-100, -94, -23, -8, 5, 10, 36, 89]

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

Final sorted list: [-100, -94, -23, -8, 5, 10, 36, 89]
</think>

<response>-100, -94, -23, -8, 5, 10, 36, 89</response>


input: Use the bubble sort technique to reorder 62, 82, 93, 77, -16, 1, 98, 36, -13, 6 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [62, 82, 93, 77, -16, 1, 98, 36, -13, 6]

Pass 1:
  Compare 62 and 82
  No swap needed
  Compare 82 and 93
  No swap needed
  Compare 93 and 77
  Swap 93 and 77
  List after swap: [62, 82, 77, 93, -16, 1, 98, 36, -13, 6]
  Compare 93 and -16
  Swap 93 and -16
  List after swap: [62, 82, 77, -16, 93, 1, 98, 36, -13, 6]
  Compare 93 and 1
  Swap 93 and 1
  List after swap: [62, 82, 77, -16, 1, 93, 98, 36, -13, 6]
  Compare 93 and 98
  No swap needed
  Compare 98 and 36
  Swap 98 and 36
  List after swap: [62, 82, 77, -16, 1, 93, 36, 98, -13, 6]
  Compare 98 and -13
  Swap 98 and -13
  List after swap: [62, 82, 77, -16, 1, 93, 36, -13, 98, 6]
  Compare 98 and 6
  Swap 98 and 6
  List after swap: [62, 82, 77, -16, 1, 93, 36, -13, 6, 98]

Pass 2:
  Compare 62 and 82
  No swap needed
  Compare 82 and 77
  Swap 82 and 77
  List after swap: [62, 77, 82, -16, 1, 93, 36, -13, 6, 98]
  Compare 82 and -16
  Swap 82 and -16
  List after swap: [62, 77, -16, 82, 1, 93, 36, -13, 6, 98]
  Compare 82 and 1
  Swap 82 and 1
  List after swap: [62, 77, -16, 1, 82, 93, 36, -13, 6, 98]
  Compare 82 and 93
  No swap needed
  Compare 93 and 36
  Swap 93 and 36
  List after swap: [62, 77, -16, 1, 82, 36, 93, -13, 6, 98]
  Compare 93 and -13
  Swap 93 and -13
  List after swap: [62, 77, -16, 1, 82, 36, -13, 93, 6, 98]
  Compare 93 and 6
  Swap 93 and 6
  List after swap: [62, 77, -16, 1, 82, 36, -13, 6, 93, 98]

Pass 3:
  Compare 62 and 77
  No swap needed
  Compare 77 and -16
  Swap 77 and -16
  List after swap: [62, -16, 77, 1, 82, 36, -13, 6, 93, 98]
  Compare 77 and 1
  Swap 77 and 1
  List after swap: [62, -16, 1, 77, 82, 36, -13, 6, 93, 98]
  Compare 77 and 82
  No swap needed
  Compare 82 and 36
  Swap 82 and 36
  List after swap: [62, -16, 1, 77, 36, 82, -13, 6, 93, 98]
  Compare 82 and -13
  Swap 82 and -13
  List after swap: [62, -16, 1, 77, 36, -13, 82, 6, 93, 98]
  Compare 82 and 6
  Swap 82 and 6
  List after swap: [62, -16, 1, 77, 36, -13, 6, 82, 93, 98]

Pass 4:
  Compare 62 and -16
  Swap 62 and -16
  List after swap: [-16, 62, 1, 77, 36, -13, 6, 82, 93, 98]
  Compare 62 and 1
  Swap 62 and 1
  List after swap: [-16, 1, 62, 77, 36, -13, 6, 82, 93, 98]
  Compare 62 and 77
  No swap needed
  Compare 77 and 36
  Swap 77 and 36
  List after swap: [-16, 1, 62, 36, 77, -13, 6, 82, 93, 98]
  Compare 77 and -13
  Swap 77 and -13
  List after swap: [-16, 1, 62, 36, -13, 77, 6, 82, 93, 98]
  Compare 77 and 6
  Swap 77 and 6
  List after swap: [-16, 1, 62, 36, -13, 6, 77, 82, 93, 98]

Pass 5:
  Compare -16 and 1
  No swap needed
  Compare 1 and 62
  No swap needed
  Compare 62 and 36
  Swap 62 and 36
  List after swap: [-16, 1, 36, 62, -13, 6, 77, 82, 93, 98]
  Compare 62 and -13
  Swap 62 and -13
  List after swap: [-16, 1, 36, -13, 62, 6, 77, 82, 93, 98]
  Compare 62 and 6
  Swap 62 and 6
  List after swap: [-16, 1, 36, -13, 6, 62, 77, 82, 93, 98]

Pass 6:
  Compare -16 and 1
  No swap needed
  Compare 1 and 36
  No swap needed
  Compare 36 and -13
  Swap 36 and -13
  List after swap: [-16, 1, -13, 36, 6, 62, 77, 82, 93, 98]
  Compare 36 and 6
  Swap 36 and 6
  List after swap: [-16, 1, -13, 6, 36, 62, 77, 82, 93, 98]

Pass 7:
  Compare -16 and 1
  No swap needed
  Compare 1 and -13
  Swap 1 and -13
  List after swap: [-16, -13, 1, 6, 36, 62, 77, 82, 93, 98]
  Compare 1 and 6
  No swap needed

Pass 8:
  Compare -16 and -13
  No swap needed
  Compare -13 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-16, -13, 1, 6, 36, 62, 77, 82, 93, 98]
</think>

<response>-16, -13, 1, 6, 36, 62, 77, 82, 93, 98</response>


input: Demonstrate how bubble sort orders the integers -64, 19, -45, 75, -23, 98 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-64, 19, -45, 75, -23, 98]

Pass 1:
  Compare -64 and 19
  No swap needed
  Compare 19 and -45
  Swap 19 and -45
  List after swap: [-64, -45, 19, 75, -23, 98]
  Compare 19 and 75
  No swap needed
  Compare 75 and -23
  Swap 75 and -23
  List after swap: [-64, -45, 19, -23, 75, 98]
  Compare 75 and 98
  No swap needed

Pass 2:
  Compare -64 and -45
  No swap needed
  Compare -45 and 19
  No swap needed
  Compare 19 and -23
  Swap 19 and -23
  List after swap: [-64, -45, -23, 19, 75, 98]
  Compare 19 and 75
  No swap needed

Pass 3:
  Compare -64 and -45
  No swap needed
  Compare -45 and -23
  No swap needed
  Compare -23 and 19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -45, -23, 19, 75, 98]
</think>

<response>-64, -45, -23, 19, 75, 98</response>


input: Sort the list 20, -14, -26, 29, -25, -34 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [20, -14, -26, 29, -25, -34]

Pass 1:
  Compare 20 and -14
  Swap 20 and -14
  List after swap: [-14, 20, -26, 29, -25, -34]
  Compare 20 and -26
  Swap 20 and -26
  List after swap: [-14, -26, 20, 29, -25, -34]
  Compare 20 and 29
  No swap needed
  Compare 29 and -25
  Swap 29 and -25
  List after swap: [-14, -26, 20, -25, 29, -34]
  Compare 29 and -34
  Swap 29 and -34
  List after swap: [-14, -26, 20, -25, -34, 29]

Pass 2:
  Compare -14 and -26
  Swap -14 and -26
  List after swap: [-26, -14, 20, -25, -34, 29]
  Compare -14 and 20
  No swap needed
  Compare 20 and -25
  Swap 20 and -25
  List after swap: [-26, -14, -25, 20, -34, 29]
  Compare 20 and -34
  Swap 20 and -34
  List after swap: [-26, -14, -25, -34, 20, 29]

Pass 3:
  Compare -26 and -14
  No swap needed
  Compare -14 and -25
  Swap -14 and -25
  List after swap: [-26, -25, -14, -34, 20, 29]
  Compare -14 and -34
  Swap -14 and -34
  List after swap: [-26, -25, -34, -14, 20, 29]

Pass 4:
  Compare -26 and -25
  No swap needed
  Compare -25 and -34
  Swap -25 and -34
  List after swap: [-26, -34, -25, -14, 20, 29]

Pass 5:
  Compare -26 and -34
  Swap -26 and -34
  List after swap: [-34, -26, -25, -14, 20, 29]

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

Final sorted list: [-34, -26, -25, -14, 20, 29]
</think>

<response>-34, -26, -25, -14, 20, 29</response>


input: Execute bubble sort to sort 18, 87, 71, 65, -69, -17, -3, -91, 95, -13 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [18, 87, 71, 65, -69, -17, -3, -91, 95, -13]

Pass 1:
  Compare 18 and 87
  No swap needed
  Compare 87 and 71
  Swap 87 and 71
  List after swap: [18, 71, 87, 65, -69, -17, -3, -91, 95, -13]
  Compare 87 and 65
  Swap 87 and 65
  List after swap: [18, 71, 65, 87, -69, -17, -3, -91, 95, -13]
  Compare 87 and -69
  Swap 87 and -69
  List after swap: [18, 71, 65, -69, 87, -17, -3, -91, 95, -13]
  Compare 87 and -17
  Swap 87 and -17
  List after swap: [18, 71, 65, -69, -17, 87, -3, -91, 95, -13]
  Compare 87 and -3
  Swap 87 and -3
  List after swap: [18, 71, 65, -69, -17, -3, 87, -91, 95, -13]
  Compare 87 and -91
  Swap 87 and -91
  List after swap: [18, 71, 65, -69, -17, -3, -91, 87, 95, -13]
  Compare 87 and 95
  No swap needed
  Compare 95 and -13
  Swap 95 and -13
  List after swap: [18, 71, 65, -69, -17, -3, -91, 87, -13, 95]

Pass 2:
  Compare 18 and 71
  No swap needed
  Compare 71 and 65
  Swap 71 and 65
  List after swap: [18, 65, 71, -69, -17, -3, -91, 87, -13, 95]
  Compare 71 and -69
  Swap 71 and -69
  List after swap: [18, 65, -69, 71, -17, -3, -91, 87, -13, 95]
  Compare 71 and -17
  Swap 71 and -17
  List after swap: [18, 65, -69, -17, 71, -3, -91, 87, -13, 95]
  Compare 71 and -3
  Swap 71 and -3
  List after swap: [18, 65, -69, -17, -3, 71, -91, 87, -13, 95]
  Compare 71 and -91
  Swap 71 and -91
  List after swap: [18, 65, -69, -17, -3, -91, 71, 87, -13, 95]
  Compare 71 and 87
  No swap needed
  Compare 87 and -13
  Swap 87 and -13
  List after swap: [18, 65, -69, -17, -3, -91, 71, -13, 87, 95]

Pass 3:
  Compare 18 and 65
  No swap needed
  Compare 65 and -69
  Swap 65 and -69
  List after swap: [18, -69, 65, -17, -3, -91, 71, -13, 87, 95]
  Compare 65 and -17
  Swap 65 and -17
  List after swap: [18, -69, -17, 65, -3, -91, 71, -13, 87, 95]
  Compare 65 and -3
  Swap 65 and -3
  List after swap: [18, -69, -17, -3, 65, -91, 71, -13, 87, 95]
  Compare 65 and -91
  Swap 65 and -91
  List after swap: [18, -69, -17, -3, -91, 65, 71, -13, 87, 95]
  Compare 65 and 71
  No swap needed
  Compare 71 and -13
  Swap 71 and -13
  List after swap: [18, -69, -17, -3, -91, 65, -13, 71, 87, 95]

Pass 4:
  Compare 18 and -69
  Swap 18 and -69
  List after swap: [-69, 18, -17, -3, -91, 65, -13, 71, 87, 95]
  Compare 18 and -17
  Swap 18 and -17
  List after swap: [-69, -17, 18, -3, -91, 65, -13, 71, 87, 95]
  Compare 18 and -3
  Swap 18 and -3
  List after swap: [-69, -17, -3, 18, -91, 65, -13, 71, 87, 95]
  Compare 18 and -91
  Swap 18 and -91
  List after swap: [-69, -17, -3, -91, 18, 65, -13, 71, 87, 95]
  Compare 18 and 65
  No swap needed
  Compare 65 and -13
  Swap 65 and -13
  List after swap: [-69, -17, -3, -91, 18, -13, 65, 71, 87, 95]

Pass 5:
  Compare -69 and -17
  No swap needed
  Compare -17 and -3
  No swap needed
  Compare -3 and -91
  Swap -3 and -91
  List after swap: [-69, -17, -91, -3, 18, -13, 65, 71, 87, 95]
  Compare -3 and 18
  No swap needed
  Compare 18 and -13
  Swap 18 and -13
  List after swap: [-69, -17, -91, -3, -13, 18, 65, 71, 87, 95]

Pass 6:
  Compare -69 and -17
  No swap needed
  Compare -17 and -91
  Swap -17 and -91
  List after swap: [-69, -91, -17, -3, -13, 18, 65, 71, 87, 95]
  Compare -17 and -3
  No swap needed
  Compare -3 and -13
  Swap -3 and -13
  List after swap: [-69, -91, -17, -13, -3, 18, 65, 71, 87, 95]

Pass 7:
  Compare -69 and -91
  Swap -69 and -91
  List after swap: [-91, -69, -17, -13, -3, 18, 65, 71, 87, 95]
  Compare -69 and -17
  No swap needed
  Compare -17 and -13
  No swap needed

Pass 8:
  Compare -91 and -69
  No swap needed
  Compare -69 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -69, -17, -13, -3, 18, 65, 71, 87, 95]
</think>

<response>-91, -69, -17, -13, -3, 18, 65, 71, 87, 95</response>


input: Sort the list -9, -14, -80, -24, 72, -88, -71, -54, 87, 85 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-9, -14, -80, -24, 72, -88, -71, -54, 87, 85]

Pass 1:
  Compare -9 and -14
  Swap -9 and -14
  List after swap: [-14, -9, -80, -24, 72, -88, -71, -54, 87, 85]
  Compare -9 and -80
  Swap -9 and -80
  List after swap: [-14, -80, -9, -24, 72, -88, -71, -54, 87, 85]
  Compare -9 and -24
  Swap -9 and -24
  List after swap: [-14, -80, -24, -9, 72, -88, -71, -54, 87, 85]
  Compare -9 and 72
  No swap needed
  Compare 72 and -88
  Swap 72 and -88
  List after swap: [-14, -80, -24, -9, -88, 72, -71, -54, 87, 85]
  Compare 72 and -71
  Swap 72 and -71
  List after swap: [-14, -80, -24, -9, -88, -71, 72, -54, 87, 85]
  Compare 72 and -54
  Swap 72 and -54
  List after swap: [-14, -80, -24, -9, -88, -71, -54, 72, 87, 85]
  Compare 72 and 87
  No swap needed
  Compare 87 and 85
  Swap 87 and 85
  List after swap: [-14, -80, -24, -9, -88, -71, -54, 72, 85, 87]

Pass 2:
  Compare -14 and -80
  Swap -14 and -80
  List after swap: [-80, -14, -24, -9, -88, -71, -54, 72, 85, 87]
  Compare -14 and -24
  Swap -14 and -24
  List after swap: [-80, -24, -14, -9, -88, -71, -54, 72, 85, 87]
  Compare -14 and -9
  No swap needed
  Compare -9 and -88
  Swap -9 and -88
  List after swap: [-80, -24, -14, -88, -9, -71, -54, 72, 85, 87]
  Compare -9 and -71
  Swap -9 and -71
  List after swap: [-80, -24, -14, -88, -71, -9, -54, 72, 85, 87]
  Compare -9 and -54
  Swap -9 and -54
  List after swap: [-80, -24, -14, -88, -71, -54, -9, 72, 85, 87]
  Compare -9 and 72
  No swap needed
  Compare 72 and 85
  No swap needed

Pass 3:
  Compare -80 and -24
  No swap needed
  Compare -24 and -14
  No swap needed
  Compare -14 and -88
  Swap -14 and -88
  List after swap: [-80, -24, -88, -14, -71, -54, -9, 72, 85, 87]
  Compare -14 and -71
  Swap -14 and -71
  List after swap: [-80, -24, -88, -71, -14, -54, -9, 72, 85, 87]
  Compare -14 and -54
  Swap -14 and -54
  List after swap: [-80, -24, -88, -71, -54, -14, -9, 72, 85, 87]
  Compare -14 and -9
  No swap needed
  Compare -9 and 72
  No swap needed

Pass 4:
  Compare -80 and -24
  No swap needed
  Compare -24 and -88
  Swap -24 and -88
  List after swap: [-80, -88, -24, -71, -54, -14, -9, 72, 85, 87]
  Compare -24 and -71
  Swap -24 and -71
  List after swap: [-80, -88, -71, -24, -54, -14, -9, 72, 85, 87]
  Compare -24 and -54
  Swap -24 and -54
  List after swap: [-80, -88, -71, -54, -24, -14, -9, 72, 85, 87]
  Compare -24 and -14
  No swap needed
  Compare -14 and -9
  No swap needed

Pass 5:
  Compare -80 and -88
  Swap -80 and -88
  List after swap: [-88, -80, -71, -54, -24, -14, -9, 72, 85, 87]
  Compare -80 and -71
  No swap needed
  Compare -71 and -54
  No swap needed
  Compare -54 and -24
  No swap needed
  Compare -24 and -14
  No swap needed

Pass 6:
  Compare -88 and -80
  No swap needed
  Compare -80 and -71
  No swap needed
  Compare -71 and -54
  No swap needed
  Compare -54 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -80, -71, -54, -24, -14, -9, 72, 85, 87]
</think>

<response>-88, -80, -71, -54, -24, -14, -9, 72, 85, 87</response>


input: Demonstrate how bubble sort orders the integers -75, -34, 90, -66, 41, 19, 92 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-75, -34, 90, -66, 41, 19, 92]

Pass 1:
  Compare -75 and -34
  No swap needed
  Compare -34 and 90
  No swap needed
  Compare 90 and -66
  Swap 90 and -66
  List after swap: [-75, -34, -66, 90, 41, 19, 92]
  Compare 90 and 41
  Swap 90 and 41
  List after swap: [-75, -34, -66, 41, 90, 19, 92]
  Compare 90 and 19
  Swap 90 and 19
  List after swap: [-75, -34, -66, 41, 19, 90, 92]
  Compare 90 and 92
  No swap needed

Pass 2:
  Compare -75 and -34
  No swap needed
  Compare -34 and -66
  Swap -34 and -66
  List after swap: [-75, -66, -34, 41, 19, 90, 92]
  Compare -34 and 41
  No swap needed
  Compare 41 and 19
  Swap 41 and 19
  List after swap: [-75, -66, -34, 19, 41, 90, 92]
  Compare 41 and 90
  No swap needed

Pass 3:
  Compare -75 and -66
  No swap needed
  Compare -66 and -34
  No swap needed
  Compare -34 and 19
  No swap needed
  Compare 19 and 41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -66, -34, 19, 41, 90, 92]
</think>

<response>-75, -66, -34, 19, 41, 90, 92</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 31, -50, -24, 99.

output:
<think>
Initial list: [31, -50, -24, 99]

Pass 1:
  Compare 31 and -50
  Swap 31 and -50
  List after swap: [-50, 31, -24, 99]
  Compare 31 and -24
  Swap 31 and -24
  List after swap: [-50, -24, 31, 99]
  Compare 31 and 99
  No swap needed

Pass 2:
  Compare -50 and -24
  No swap needed
  Compare -24 and 31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, -24, 31, 99]
</think>

<response>-50, -24, 31, 99</response>


input: Sort these integers 77, 97, -48 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [77, 97, -48]

Pass 1:
  Compare 77 and 97
  No swap needed
  Compare 97 and -48
  Swap 97 and -48
  List after swap: [77, -48, 97]

Pass 2:
  Compare 77 and -48
  Swap 77 and -48
  List after swap: [-48, 77, 97]

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

Final sorted list: [-48, 77, 97]
</think>

<response>-48, 77, 97</response>


input: Sort these integers -39, 86, -9, 14, -56, 38 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-39, 86, -9, 14, -56, 38]

Pass 1:
  Compare -39 and 86
  No swap needed
  Compare 86 and -9
  Swap 86 and -9
  List after swap: [-39, -9, 86, 14, -56, 38]
  Compare 86 and 14
  Swap 86 and 14
  List after swap: [-39, -9, 14, 86, -56, 38]
  Compare 86 and -56
  Swap 86 and -56
  List after swap: [-39, -9, 14, -56, 86, 38]
  Compare 86 and 38
  Swap 86 and 38
  List after swap: [-39, -9, 14, -56, 38, 86]

Pass 2:
  Compare -39 and -9
  No swap needed
  Compare -9 and 14
  No swap needed
  Compare 14 and -56
  Swap 14 and -56
  List after swap: [-39, -9, -56, 14, 38, 86]
  Compare 14 and 38
  No swap needed

Pass 3:
  Compare -39 and -9
  No swap needed
  Compare -9 and -56
  Swap -9 and -56
  List after swap: [-39, -56, -9, 14, 38, 86]
  Compare -9 and 14
  No swap needed

Pass 4:
  Compare -39 and -56
  Swap -39 and -56
  List after swap: [-56, -39, -9, 14, 38, 86]
  Compare -39 and -9
  No swap needed

Pass 5:
  Compare -56 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -39, -9, 14, 38, 86]
</think>

<response>-56, -39, -9, 14, 38, 86</response>


input: Sort these integers 98, -8, 29, 59 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [98, -8, 29, 59]

Pass 1:
  Compare 98 and -8
  Swap 98 and -8
  List after swap: [-8, 98, 29, 59]
  Compare 98 and 29
  Swap 98 and 29
  List after swap: [-8, 29, 98, 59]
  Compare 98 and 59
  Swap 98 and 59
  List after swap: [-8, 29, 59, 98]

Pass 2:
  Compare -8 and 29
  No swap needed
  Compare 29 and 59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-8, 29, 59, 98]
</think>

<response>-8, 29, 59, 98</response>


input: Perform a bubble sort on the integers -94, -46, -86, -16, 22, -82, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-94, -46, -86, -16, 22, -82]

Pass 1:
  Compare -94 and -46
  No swap needed
  Compare -46 and -86
  Swap -46 and -86
  List after swap: [-94, -86, -46, -16, 22, -82]
  Compare -46 and -16
  No swap needed
  Compare -16 and 22
  No swap needed
  Compare 22 and -82
  Swap 22 and -82
  List after swap: [-94, -86, -46, -16, -82, 22]

Pass 2:
  Compare -94 and -86
  No swap needed
  Compare -86 and -46
  No swap needed
  Compare -46 and -16
  No swap needed
  Compare -16 and -82
  Swap -16 and -82
  List after swap: [-94, -86, -46, -82, -16, 22]

Pass 3:
  Compare -94 and -86
  No swap needed
  Compare -86 and -46
  No swap needed
  Compare -46 and -82
  Swap -46 and -82
  List after swap: [-94, -86, -82, -46, -16, 22]

Pass 4:
  Compare -94 and -86
  No swap needed
  Compare -86 and -82
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -86, -82, -46, -16, 22]
</think>

<response>-94, -86, -82, -46, -16, 22</response>


input: Arrange the numbers 18, 45, -71, -28, -67, 83, -91, -89 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [18, 45, -71, -28, -67, 83, -91, -89]

Pass 1:
  Compare 18 and 45
  No swap needed
  Compare 45 and -71
  Swap 45 and -71
  List after swap: [18, -71, 45, -28, -67, 83, -91, -89]
  Compare 45 and -28
  Swap 45 and -28
  List after swap: [18, -71, -28, 45, -67, 83, -91, -89]
  Compare 45 and -67
  Swap 45 and -67
  List after swap: [18, -71, -28, -67, 45, 83, -91, -89]
  Compare 45 and 83
  No swap needed
  Compare 83 and -91
  Swap 83 and -91
  List after swap: [18, -71, -28, -67, 45, -91, 83, -89]
  Compare 83 and -89
  Swap 83 and -89
  List after swap: [18, -71, -28, -67, 45, -91, -89, 83]

Pass 2:
  Compare 18 and -71
  Swap 18 and -71
  List after swap: [-71, 18, -28, -67, 45, -91, -89, 83]
  Compare 18 and -28
  Swap 18 and -28
  List after swap: [-71, -28, 18, -67, 45, -91, -89, 83]
  Compare 18 and -67
  Swap 18 and -67
  List after swap: [-71, -28, -67, 18, 45, -91, -89, 83]
  Compare 18 and 45
  No swap needed
  Compare 45 and -91
  Swap 45 and -91
  List after swap: [-71, -28, -67, 18, -91, 45, -89, 83]
  Compare 45 and -89
  Swap 45 and -89
  List after swap: [-71, -28, -67, 18, -91, -89, 45, 83]

Pass 3:
  Compare -71 and -28
  No swap needed
  Compare -28 and -67
  Swap -28 and -67
  List after swap: [-71, -67, -28, 18, -91, -89, 45, 83]
  Compare -28 and 18
  No swap needed
  Compare 18 and -91
  Swap 18 and -91
  List after swap: [-71, -67, -28, -91, 18, -89, 45, 83]
  Compare 18 and -89
  Swap 18 and -89
  List after swap: [-71, -67, -28, -91, -89, 18, 45, 83]

Pass 4:
  Compare -71 and -67
  No swap needed
  Compare -67 and -28
  No swap needed
  Compare -28 and -91
  Swap -28 and -91
  List after swap: [-71, -67, -91, -28, -89, 18, 45, 83]
  Compare -28 and -89
  Swap -28 and -89
  List after swap: [-71, -67, -91, -89, -28, 18, 45, 83]

Pass 5:
  Compare -71 and -67
  No swap needed
  Compare -67 and -91
  Swap -67 and -91
  List after swap: [-71, -91, -67, -89, -28, 18, 45, 83]
  Compare -67 and -89
  Swap -67 and -89
  List after swap: [-71, -91, -89, -67, -28, 18, 45, 83]

Pass 6:
  Compare -71 and -91
  Swap -71 and -91
  List after swap: [-91, -71, -89, -67, -28, 18, 45, 83]
  Compare -71 and -89
  Swap -71 and -89
  List after swap: [-91, -89, -71, -67, -28, 18, 45, 83]

Pass 7:
  Compare -91 and -89
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -89, -71, -67, -28, 18, 45, 83]
</think>

<response>-91, -89, -71, -67, -28, 18, 45, 83</response>


input: Perform a bubble sort on the integers 1, 74, -6, 29, -75, -7, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [1, 74, -6, 29, -75, -7]

Pass 1:
  Compare 1 and 74
  No swap needed
  Compare 74 and -6
  Swap 74 and -6
  List after swap: [1, -6, 74, 29, -75, -7]
  Compare 74 and 29
  Swap 74 and 29
  List after swap: [1, -6, 29, 74, -75, -7]
  Compare 74 and -75
  Swap 74 and -75
  List after swap: [1, -6, 29, -75, 74, -7]
  Compare 74 and -7
  Swap 74 and -7
  List after swap: [1, -6, 29, -75, -7, 74]

Pass 2:
  Compare 1 and -6
  Swap 1 and -6
  List after swap: [-6, 1, 29, -75, -7, 74]
  Compare 1 and 29
  No swap needed
  Compare 29 and -75
  Swap 29 and -75
  List after swap: [-6, 1, -75, 29, -7, 74]
  Compare 29 and -7
  Swap 29 and -7
  List after swap: [-6, 1, -75, -7, 29, 74]

Pass 3:
  Compare -6 and 1
  No swap needed
  Compare 1 and -75
  Swap 1 and -75
  List after swap: [-6, -75, 1, -7, 29, 74]
  Compare 1 and -7
  Swap 1 and -7
  List after swap: [-6, -75, -7, 1, 29, 74]

Pass 4:
  Compare -6 and -75
  Swap -6 and -75
  List after swap: [-75, -6, -7, 1, 29, 74]
  Compare -6 and -7
  Swap -6 and -7
  List after swap: [-75, -7, -6, 1, 29, 74]

Pass 5:
  Compare -75 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -7, -6, 1, 29, 74]
</think>

<response>-75, -7, -6, 1, 29, 74</response>


input: Execute bubble sort to sort 39, 26, -50, 31 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [39, 26, -50, 31]

Pass 1:
  Compare 39 and 26
  Swap 39 and 26
  List after swap: [26, 39, -50, 31]
  Compare 39 and -50
  Swap 39 and -50
  List after swap: [26, -50, 39, 31]
  Compare 39 and 31
  Swap 39 and 31
  List after swap: [26, -50, 31, 39]

Pass 2:
  Compare 26 and -50
  Swap 26 and -50
  List after swap: [-50, 26, 31, 39]
  Compare 26 and 31
  No swap needed

Pass 3:
  Compare -50 and 26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, 26, 31, 39]
</think>

<response>-50, 26, 31, 39</response>


input: Demonstrate how bubble sort orders the integers -47, -60 in ascending sequence, showing all steps.

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

Pass 1:
  Compare -47 and -60
  Swap -47 and -60
  List after swap: [-60, -47]

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

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

<response>-60, -47</response>


input: Arrange the numbers -94, -8, 27, -99, 22, 67, 75, 42, -83 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-94, -8, 27, -99, 22, 67, 75, 42, -83]

Pass 1:
  Compare -94 and -8
  No swap needed
  Compare -8 and 27
  No swap needed
  Compare 27 and -99
  Swap 27 and -99
  List after swap: [-94, -8, -99, 27, 22, 67, 75, 42, -83]
  Compare 27 and 22
  Swap 27 and 22
  List after swap: [-94, -8, -99, 22, 27, 67, 75, 42, -83]
  Compare 27 and 67
  No swap needed
  Compare 67 and 75
  No swap needed
  Compare 75 and 42
  Swap 75 and 42
  List after swap: [-94, -8, -99, 22, 27, 67, 42, 75, -83]
  Compare 75 and -83
  Swap 75 and -83
  List after swap: [-94, -8, -99, 22, 27, 67, 42, -83, 75]

Pass 2:
  Compare -94 and -8
  No swap needed
  Compare -8 and -99
  Swap -8 and -99
  List after swap: [-94, -99, -8, 22, 27, 67, 42, -83, 75]
  Compare -8 and 22
  No swap needed
  Compare 22 and 27
  No swap needed
  Compare 27 and 67
  No swap needed
  Compare 67 and 42
  Swap 67 and 42
  List after swap: [-94, -99, -8, 22, 27, 42, 67, -83, 75]
  Compare 67 and -83
  Swap 67 and -83
  List after swap: [-94, -99, -8, 22, 27, 42, -83, 67, 75]

Pass 3:
  Compare -94 and -99
  Swap -94 and -99
  List after swap: [-99, -94, -8, 22, 27, 42, -83, 67, 75]
  Compare -94 and -8
  No swap needed
  Compare -8 and 22
  No swap needed
  Compare 22 and 27
  No swap needed
  Compare 27 and 42
  No swap needed
  Compare 42 and -83
  Swap 42 and -83
  List after swap: [-99, -94, -8, 22, 27, -83, 42, 67, 75]

Pass 4:
  Compare -99 and -94
  No swap needed
  Compare -94 and -8
  No swap needed
  Compare -8 and 22
  No swap needed
  Compare 22 and 27
  No swap needed
  Compare 27 and -83
  Swap 27 and -83
  List after swap: [-99, -94, -8, 22, -83, 27, 42, 67, 75]

Pass 5:
  Compare -99 and -94
  No swap needed
  Compare -94 and -8
  No swap needed
  Compare -8 and 22
  No swap needed
  Compare 22 and -83
  Swap 22 and -83
  List after swap: [-99, -94, -8, -83, 22, 27, 42, 67, 75]

Pass 6:
  Compare -99 and -94
  No swap needed
  Compare -94 and -8
  No swap needed
  Compare -8 and -83
  Swap -8 and -83
  List after swap: [-99, -94, -83, -8, 22, 27, 42, 67, 75]

Pass 7:
  Compare -99 and -94
  No swap needed
  Compare -94 and -83
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -94, -83, -8, 22, 27, 42, 67, 75]
</think>

<response>-99, -94, -83, -8, 22, 27, 42, 67, 75</response>


input: Perform a bubble sort on the integers 94, 51, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [94, 51]

Pass 1:
  Compare 94 and 51
  Swap 94 and 51
  List after swap: [51, 94]

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

Final sorted list: [51, 94]
</think>

<response>51, 94</response>


input: Arrange the numbers -20, -60, 51, -2, -45 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-20, -60, 51, -2, -45]

Pass 1:
  Compare -20 and -60
  Swap -20 and -60
  List after swap: [-60, -20, 51, -2, -45]
  Compare -20 and 51
  No swap needed
  Compare 51 and -2
  Swap 51 and -2
  List after swap: [-60, -20, -2, 51, -45]
  Compare 51 and -45
  Swap 51 and -45
  List after swap: [-60, -20, -2, -45, 51]

Pass 2:
  Compare -60 and -20
  No swap needed
  Compare -20 and -2
  No swap needed
  Compare -2 and -45
  Swap -2 and -45
  List after swap: [-60, -20, -45, -2, 51]

Pass 3:
  Compare -60 and -20
  No swap needed
  Compare -20 and -45
  Swap -20 and -45
  List after swap: [-60, -45, -20, -2, 51]

Pass 4:
  Compare -60 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -45, -20, -2, 51]
</think>

<response>-60, -45, -20, -2, 51</response>


input: Perform a bubble sort on the integers -17, 78, -48, -96, -97, 93, 35, 36, 63, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-17, 78, -48, -96, -97, 93, 35, 36, 63]

Pass 1:
  Compare -17 and 78
  No swap needed
  Compare 78 and -48
  Swap 78 and -48
  List after swap: [-17, -48, 78, -96, -97, 93, 35, 36, 63]
  Compare 78 and -96
  Swap 78 and -96
  List after swap: [-17, -48, -96, 78, -97, 93, 35, 36, 63]
  Compare 78 and -97
  Swap 78 and -97
  List after swap: [-17, -48, -96, -97, 78, 93, 35, 36, 63]
  Compare 78 and 93
  No swap needed
  Compare 93 and 35
  Swap 93 and 35
  List after swap: [-17, -48, -96, -97, 78, 35, 93, 36, 63]
  Compare 93 and 36
  Swap 93 and 36
  List after swap: [-17, -48, -96, -97, 78, 35, 36, 93, 63]
  Compare 93 and 63
  Swap 93 and 63
  List after swap: [-17, -48, -96, -97, 78, 35, 36, 63, 93]

Pass 2:
  Compare -17 and -48
  Swap -17 and -48
  List after swap: [-48, -17, -96, -97, 78, 35, 36, 63, 93]
  Compare -17 and -96
  Swap -17 and -96
  List after swap: [-48, -96, -17, -97, 78, 35, 36, 63, 93]
  Compare -17 and -97
  Swap -17 and -97
  List after swap: [-48, -96, -97, -17, 78, 35, 36, 63, 93]
  Compare -17 and 78
  No swap needed
  Compare 78 and 35
  Swap 78 and 35
  List after swap: [-48, -96, -97, -17, 35, 78, 36, 63, 93]
  Compare 78 and 36
  Swap 78 and 36
  List after swap: [-48, -96, -97, -17, 35, 36, 78, 63, 93]
  Compare 78 and 63
  Swap 78 and 63
  List after swap: [-48, -96, -97, -17, 35, 36, 63, 78, 93]

Pass 3:
  Compare -48 and -96
  Swap -48 and -96
  List after swap: [-96, -48, -97, -17, 35, 36, 63, 78, 93]
  Compare -48 and -97
  Swap -48 and -97
  List after swap: [-96, -97, -48, -17, 35, 36, 63, 78, 93]
  Compare -48 and -17
  No swap needed
  Compare -17 and 35
  No swap needed
  Compare 35 and 36
  No swap needed
  Compare 36 and 63
  No swap needed

Pass 4:
  Compare -96 and -97
  Swap -96 and -97
  List after swap: [-97, -96, -48, -17, 35, 36, 63, 78, 93]
  Compare -96 and -48
  No swap needed
  Compare -48 and -17
  No swap needed
  Compare -17 and 35
  No swap needed
  Compare 35 and 36
  No swap needed

Pass 5:
  Compare -97 and -96
  No swap needed
  Compare -96 and -48
  No swap needed
  Compare -48 and -17
  No swap needed
  Compare -17 and 35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -96, -48, -17, 35, 36, 63, 78, 93]
</think>

<response>-97, -96, -48, -17, 35, 36, 63, 78, 93</response>


input: Arrange the numbers 94, -56, -12, -11, 64 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [94, -56, -12, -11, 64]

Pass 1:
  Compare 94 and -56
  Swap 94 and -56
  List after swap: [-56, 94, -12, -11, 64]
  Compare 94 and -12
  Swap 94 and -12
  List after swap: [-56, -12, 94, -11, 64]
  Compare 94 and -11
  Swap 94 and -11
  List after swap: [-56, -12, -11, 94, 64]
  Compare 94 and 64
  Swap 94 and 64
  List after swap: [-56, -12, -11, 64, 94]

Pass 2:
  Compare -56 and -12
  No swap needed
  Compare -12 and -11
  No swap needed
  Compare -11 and 64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -12, -11, 64, 94]
</think>

<response>-56, -12, -11, 64, 94</response>


input: Use the bubble sort technique to reorder 24, 76, -69, 65, -24, -29, 21, -76 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [24, 76, -69, 65, -24, -29, 21, -76]

Pass 1:
  Compare 24 and 76
  No swap needed
  Compare 76 and -69
  Swap 76 and -69
  List after swap: [24, -69, 76, 65, -24, -29, 21, -76]
  Compare 76 and 65
  Swap 76 and 65
  List after swap: [24, -69, 65, 76, -24, -29, 21, -76]
  Compare 76 and -24
  Swap 76 and -24
  List after swap: [24, -69, 65, -24, 76, -29, 21, -76]
  Compare 76 and -29
  Swap 76 and -29
  List after swap: [24, -69, 65, -24, -29, 76, 21, -76]
  Compare 76 and 21
  Swap 76 and 21
  List after swap: [24, -69, 65, -24, -29, 21, 76, -76]
  Compare 76 and -76
  Swap 76 and -76
  List after swap: [24, -69, 65, -24, -29, 21, -76, 76]

Pass 2:
  Compare 24 and -69
  Swap 24 and -69
  List after swap: [-69, 24, 65, -24, -29, 21, -76, 76]
  Compare 24 and 65
  No swap needed
  Compare 65 and -24
  Swap 65 and -24
  List after swap: [-69, 24, -24, 65, -29, 21, -76, 76]
  Compare 65 and -29
  Swap 65 and -29
  List after swap: [-69, 24, -24, -29, 65, 21, -76, 76]
  Compare 65 and 21
  Swap 65 and 21
  List after swap: [-69, 24, -24, -29, 21, 65, -76, 76]
  Compare 65 and -76
  Swap 65 and -76
  List after swap: [-69, 24, -24, -29, 21, -76, 65, 76]

Pass 3:
  Compare -69 and 24
  No swap needed
  Compare 24 and -24
  Swap 24 and -24
  List after swap: [-69, -24, 24, -29, 21, -76, 65, 76]
  Compare 24 and -29
  Swap 24 and -29
  List after swap: [-69, -24, -29, 24, 21, -76, 65, 76]
  Compare 24 and 21
  Swap 24 and 21
  List after swap: [-69, -24, -29, 21, 24, -76, 65, 76]
  Compare 24 and -76
  Swap 24 and -76
  List after swap: [-69, -24, -29, 21, -76, 24, 65, 76]

Pass 4:
  Compare -69 and -24
  No swap needed
  Compare -24 and -29
  Swap -24 and -29
  List after swap: [-69, -29, -24, 21, -76, 24, 65, 76]
  Compare -24 and 21
  No swap needed
  Compare 21 and -76
  Swap 21 and -76
  List after swap: [-69, -29, -24, -76, 21, 24, 65, 76]

Pass 5:
  Compare -69 and -29
  No swap needed
  Compare -29 and -24
  No swap needed
  Compare -24 and -76
  Swap -24 and -76
  List after swap: [-69, -29, -76, -24, 21, 24, 65, 76]

Pass 6:
  Compare -69 and -29
  No swap needed
  Compare -29 and -76
  Swap -29 and -76
  List after swap: [-69, -76, -29, -24, 21, 24, 65, 76]

Pass 7:
  Compare -69 and -76
  Swap -69 and -76
  List after swap: [-76, -69, -29, -24, 21, 24, 65, 76]

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

Final sorted list: [-76, -69, -29, -24, 21, 24, 65, 76]
</think>

<response>-76, -69, -29, -24, 21, 24, 65, 76</response>


input: Use the bubble sort technique to reorder 24, 70 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [24, 70]

Pass 1:
  Compare 24 and 70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [24, 70]
</think>

<response>24, 70</response>


input: Perform a bubble sort on the integers -27, 85, -5, -66, -4, 86, -25, 52, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-27, 85, -5, -66, -4, 86, -25, 52]

Pass 1:
  Compare -27 and 85
  No swap needed
  Compare 85 and -5
  Swap 85 and -5
  List after swap: [-27, -5, 85, -66, -4, 86, -25, 52]
  Compare 85 and -66
  Swap 85 and -66
  List after swap: [-27, -5, -66, 85, -4, 86, -25, 52]
  Compare 85 and -4
  Swap 85 and -4
  List after swap: [-27, -5, -66, -4, 85, 86, -25, 52]
  Compare 85 and 86
  No swap needed
  Compare 86 and -25
  Swap 86 and -25
  List after swap: [-27, -5, -66, -4, 85, -25, 86, 52]
  Compare 86 and 52
  Swap 86 and 52
  List after swap: [-27, -5, -66, -4, 85, -25, 52, 86]

Pass 2:
  Compare -27 and -5
  No swap needed
  Compare -5 and -66
  Swap -5 and -66
  List after swap: [-27, -66, -5, -4, 85, -25, 52, 86]
  Compare -5 and -4
  No swap needed
  Compare -4 and 85
  No swap needed
  Compare 85 and -25
  Swap 85 and -25
  List after swap: [-27, -66, -5, -4, -25, 85, 52, 86]
  Compare 85 and 52
  Swap 85 and 52
  List after swap: [-27, -66, -5, -4, -25, 52, 85, 86]

Pass 3:
  Compare -27 and -66
  Swap -27 and -66
  List after swap: [-66, -27, -5, -4, -25, 52, 85, 86]
  Compare -27 and -5
  No swap needed
  Compare -5 and -4
  No swap needed
  Compare -4 and -25
  Swap -4 and -25
  List after swap: [-66, -27, -5, -25, -4, 52, 85, 86]
  Compare -4 and 52
  No swap needed

Pass 4:
  Compare -66 and -27
  No swap needed
  Compare -27 and -5
  No swap needed
  Compare -5 and -25
  Swap -5 and -25
  List after swap: [-66, -27, -25, -5, -4, 52, 85, 86]
  Compare -5 and -4
  No swap needed

Pass 5:
  Compare -66 and -27
  No swap needed
  Compare -27 and -25
  No swap needed
  Compare -25 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -27, -25, -5, -4, 52, 85, 86]
</think>

<response>-66, -27, -25, -5, -4, 52, 85, 86</response>


input: Using the bubble sort method, sort -26, -83, 85, -58, 63, -51, -52, 33, 78, 79 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-26, -83, 85, -58, 63, -51, -52, 33, 78, 79]

Pass 1:
  Compare -26 and -83
  Swap -26 and -83
  List after swap: [-83, -26, 85, -58, 63, -51, -52, 33, 78, 79]
  Compare -26 and 85
  No swap needed
  Compare 85 and -58
  Swap 85 and -58
  List after swap: [-83, -26, -58, 85, 63, -51, -52, 33, 78, 79]
  Compare 85 and 63
  Swap 85 and 63
  List after swap: [-83, -26, -58, 63, 85, -51, -52, 33, 78, 79]
  Compare 85 and -51
  Swap 85 and -51
  List after swap: [-83, -26, -58, 63, -51, 85, -52, 33, 78, 79]
  Compare 85 and -52
  Swap 85 and -52
  List after swap: [-83, -26, -58, 63, -51, -52, 85, 33, 78, 79]
  Compare 85 and 33
  Swap 85 and 33
  List after swap: [-83, -26, -58, 63, -51, -52, 33, 85, 78, 79]
  Compare 85 and 78
  Swap 85 and 78
  List after swap: [-83, -26, -58, 63, -51, -52, 33, 78, 85, 79]
  Compare 85 and 79
  Swap 85 and 79
  List after swap: [-83, -26, -58, 63, -51, -52, 33, 78, 79, 85]

Pass 2:
  Compare -83 and -26
  No swap needed
  Compare -26 and -58
  Swap -26 and -58
  List after swap: [-83, -58, -26, 63, -51, -52, 33, 78, 79, 85]
  Compare -26 and 63
  No swap needed
  Compare 63 and -51
  Swap 63 and -51
  List after swap: [-83, -58, -26, -51, 63, -52, 33, 78, 79, 85]
  Compare 63 and -52
  Swap 63 and -52
  List after swap: [-83, -58, -26, -51, -52, 63, 33, 78, 79, 85]
  Compare 63 and 33
  Swap 63 and 33
  List after swap: [-83, -58, -26, -51, -52, 33, 63, 78, 79, 85]
  Compare 63 and 78
  No swap needed
  Compare 78 and 79
  No swap needed

Pass 3:
  Compare -83 and -58
  No swap needed
  Compare -58 and -26
  No swap needed
  Compare -26 and -51
  Swap -26 and -51
  List after swap: [-83, -58, -51, -26, -52, 33, 63, 78, 79, 85]
  Compare -26 and -52
  Swap -26 and -52
  List after swap: [-83, -58, -51, -52, -26, 33, 63, 78, 79, 85]
  Compare -26 and 33
  No swap needed
  Compare 33 and 63
  No swap needed
  Compare 63 and 78
  No swap needed

Pass 4:
  Compare -83 and -58
  No swap needed
  Compare -58 and -51
  No swap needed
  Compare -51 and -52
  Swap -51 and -52
  List after swap: [-83, -58, -52, -51, -26, 33, 63, 78, 79, 85]
  Compare -51 and -26
  No swap needed
  Compare -26 and 33
  No swap needed
  Compare 33 and 63
  No swap needed

Pass 5:
  Compare -83 and -58
  No swap needed
  Compare -58 and -52
  No swap needed
  Compare -52 and -51
  No swap needed
  Compare -51 and -26
  No swap needed
  Compare -26 and 33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -58, -52, -51, -26, 33, 63, 78, 79, 85]
</think>

<response>-83, -58, -52, -51, -26, 33, 63, 78, 79, 85</response>


input: Sort the list 91, 25, -74, -52, 85, -66, -94 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [91, 25, -74, -52, 85, -66, -94]

Pass 1:
  Compare 91 and 25
  Swap 91 and 25
  List after swap: [25, 91, -74, -52, 85, -66, -94]
  Compare 91 and -74
  Swap 91 and -74
  List after swap: [25, -74, 91, -52, 85, -66, -94]
  Compare 91 and -52
  Swap 91 and -52
  List after swap: [25, -74, -52, 91, 85, -66, -94]
  Compare 91 and 85
  Swap 91 and 85
  List after swap: [25, -74, -52, 85, 91, -66, -94]
  Compare 91 and -66
  Swap 91 and -66
  List after swap: [25, -74, -52, 85, -66, 91, -94]
  Compare 91 and -94
  Swap 91 and -94
  List after swap: [25, -74, -52, 85, -66, -94, 91]

Pass 2:
  Compare 25 and -74
  Swap 25 and -74
  List after swap: [-74, 25, -52, 85, -66, -94, 91]
  Compare 25 and -52
  Swap 25 and -52
  List after swap: [-74, -52, 25, 85, -66, -94, 91]
  Compare 25 and 85
  No swap needed
  Compare 85 and -66
  Swap 85 and -66
  List after swap: [-74, -52, 25, -66, 85, -94, 91]
  Compare 85 and -94
  Swap 85 and -94
  List after swap: [-74, -52, 25, -66, -94, 85, 91]

Pass 3:
  Compare -74 and -52
  No swap needed
  Compare -52 and 25
  No swap needed
  Compare 25 and -66
  Swap 25 and -66
  List after swap: [-74, -52, -66, 25, -94, 85, 91]
  Compare 25 and -94
  Swap 25 and -94
  List after swap: [-74, -52, -66, -94, 25, 85, 91]

Pass 4:
  Compare -74 and -52
  No swap needed
  Compare -52 and -66
  Swap -52 and -66
  List after swap: [-74, -66, -52, -94, 25, 85, 91]
  Compare -52 and -94
  Swap -52 and -94
  List after swap: [-74, -66, -94, -52, 25, 85, 91]

Pass 5:
  Compare -74 and -66
  No swap needed
  Compare -66 and -94
  Swap -66 and -94
  List after swap: [-74, -94, -66, -52, 25, 85, 91]

Pass 6:
  Compare -74 and -94
  Swap -74 and -94
  List after swap: [-94, -74, -66, -52, 25, 85, 91]

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

Final sorted list: [-94, -74, -66, -52, 25, 85, 91]
</think>

<response>-94, -74, -66, -52, 25, 85, 91</response>


input: Demonstrate how bubble sort orders the integers -55, 58 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-55, 58]

Pass 1:
  Compare -55 and 58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, 58]
</think>

<response>-55, 58</response>


input: Implement bubble sort on 34, 71, 53, 32, -54, -11 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [34, 71, 53, 32, -54, -11]

Pass 1:
  Compare 34 and 71
  No swap needed
  Compare 71 and 53
  Swap 71 and 53
  List after swap: [34, 53, 71, 32, -54, -11]
  Compare 71 and 32
  Swap 71 and 32
  List after swap: [34, 53, 32, 71, -54, -11]
  Compare 71 and -54
  Swap 71 and -54
  List after swap: [34, 53, 32, -54, 71, -11]
  Compare 71 and -11
  Swap 71 and -11
  List after swap: [34, 53, 32, -54, -11, 71]

Pass 2:
  Compare 34 and 53
  No swap needed
  Compare 53 and 32
  Swap 53 and 32
  List after swap: [34, 32, 53, -54, -11, 71]
  Compare 53 and -54
  Swap 53 and -54
  List after swap: [34, 32, -54, 53, -11, 71]
  Compare 53 and -11
  Swap 53 and -11
  List after swap: [34, 32, -54, -11, 53, 71]

Pass 3:
  Compare 34 and 32
  Swap 34 and 32
  List after swap: [32, 34, -54, -11, 53, 71]
  Compare 34 and -54
  Swap 34 and -54
  List after swap: [32, -54, 34, -11, 53, 71]
  Compare 34 and -11
  Swap 34 and -11
  List after swap: [32, -54, -11, 34, 53, 71]

Pass 4:
  Compare 32 and -54
  Swap 32 and -54
  List after swap: [-54, 32, -11, 34, 53, 71]
  Compare 32 and -11
  Swap 32 and -11
  List after swap: [-54, -11, 32, 34, 53, 71]

Pass 5:
  Compare -54 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-54, -11, 32, 34, 53, 71]
</think>

<response>-54, -11, 32, 34, 53, 71</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 52, 48, -38, 81, 6, 14, -17.

output:
<think>
Initial list: [52, 48, -38, 81, 6, 14, -17]

Pass 1:
  Compare 52 and 48
  Swap 52 and 48
  List after swap: [48, 52, -38, 81, 6, 14, -17]
  Compare 52 and -38
  Swap 52 and -38
  List after swap: [48, -38, 52, 81, 6, 14, -17]
  Compare 52 and 81
  No swap needed
  Compare 81 and 6
  Swap 81 and 6
  List after swap: [48, -38, 52, 6, 81, 14, -17]
  Compare 81 and 14
  Swap 81 and 14
  List after swap: [48, -38, 52, 6, 14, 81, -17]
  Compare 81 and -17
  Swap 81 and -17
  List after swap: [48, -38, 52, 6, 14, -17, 81]

Pass 2:
  Compare 48 and -38
  Swap 48 and -38
  List after swap: [-38, 48, 52, 6, 14, -17, 81]
  Compare 48 and 52
  No swap needed
  Compare 52 and 6
  Swap 52 and 6
  List after swap: [-38, 48, 6, 52, 14, -17, 81]
  Compare 52 and 14
  Swap 52 and 14
  List after swap: [-38, 48, 6, 14, 52, -17, 81]
  Compare 52 and -17
  Swap 52 and -17
  List after swap: [-38, 48, 6, 14, -17, 52, 81]

Pass 3:
  Compare -38 and 48
  No swap needed
  Compare 48 and 6
  Swap 48 and 6
  List after swap: [-38, 6, 48, 14, -17, 52, 81]
  Compare 48 and 14
  Swap 48 and 14
  List after swap: [-38, 6, 14, 48, -17, 52, 81]
  Compare 48 and -17
  Swap 48 and -17
  List after swap: [-38, 6, 14, -17, 48, 52, 81]

Pass 4:
  Compare -38 and 6
  No swap needed
  Compare 6 and 14
  No swap needed
  Compare 14 and -17
  Swap 14 and -17
  List after swap: [-38, 6, -17, 14, 48, 52, 81]

Pass 5:
  Compare -38 and 6
  No swap needed
  Compare 6 and -17
  Swap 6 and -17
  List after swap: [-38, -17, 6, 14, 48, 52, 81]

Pass 6:
  Compare -38 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-38, -17, 6, 14, 48, 52, 81]
</think>

<response>-38, -17, 6, 14, 48, 52, 81</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -70, 17, -71, -79.

output:
<think>
Initial list: [-70, 17, -71, -79]

Pass 1:
  Compare -70 and 17
  No swap needed
  Compare 17 and -71
  Swap 17 and -71
  List after swap: [-70, -71, 17, -79]
  Compare 17 and -79
  Swap 17 and -79
  List after swap: [-70, -71, -79, 17]

Pass 2:
  Compare -70 and -71
  Swap -70 and -71
  List after swap: [-71, -70, -79, 17]
  Compare -70 and -79
  Swap -70 and -79
  List after swap: [-71, -79, -70, 17]

Pass 3:
  Compare -71 and -79
  Swap -71 and -79
  List after swap: [-79, -71, -70, 17]

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

Final sorted list: [-79, -71, -70, 17]
</think>

<response>-79, -71, -70, 17</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 98, 10, 16, 82, 0, 68, 41, -100.

output:
<think>
Initial list: [98, 10, 16, 82, 0, 68, 41, -100]

Pass 1:
  Compare 98 and 10
  Swap 98 and 10
  List after swap: [10, 98, 16, 82, 0, 68, 41, -100]
  Compare 98 and 16
  Swap 98 and 16
  List after swap: [10, 16, 98, 82, 0, 68, 41, -100]
  Compare 98 and 82
  Swap 98 and 82
  List after swap: [10, 16, 82, 98, 0, 68, 41, -100]
  Compare 98 and 0
  Swap 98 and 0
  List after swap: [10, 16, 82, 0, 98, 68, 41, -100]
  Compare 98 and 68
  Swap 98 and 68
  List after swap: [10, 16, 82, 0, 68, 98, 41, -100]
  Compare 98 and 41
  Swap 98 and 41
  List after swap: [10, 16, 82, 0, 68, 41, 98, -100]
  Compare 98 and -100
  Swap 98 and -100
  List after swap: [10, 16, 82, 0, 68, 41, -100, 98]

Pass 2:
  Compare 10 and 16
  No swap needed
  Compare 16 and 82
  No swap needed
  Compare 82 and 0
  Swap 82 and 0
  List after swap: [10, 16, 0, 82, 68, 41, -100, 98]
  Compare 82 and 68
  Swap 82 and 68
  List after swap: [10, 16, 0, 68, 82, 41, -100, 98]
  Compare 82 and 41
  Swap 82 and 41
  List after swap: [10, 16, 0, 68, 41, 82, -100, 98]
  Compare 82 and -100
  Swap 82 and -100
  List after swap: [10, 16, 0, 68, 41, -100, 82, 98]

Pass 3:
  Compare 10 and 16
  No swap needed
  Compare 16 and 0
  Swap 16 and 0
  List after swap: [10, 0, 16, 68, 41, -100, 82, 98]
  Compare 16 and 68
  No swap needed
  Compare 68 and 41
  Swap 68 and 41
  List after swap: [10, 0, 16, 41, 68, -100, 82, 98]
  Compare 68 and -100
  Swap 68 and -100
  List after swap: [10, 0, 16, 41, -100, 68, 82, 98]

Pass 4:
  Compare 10 and 0
  Swap 10 and 0
  List after swap: [0, 10, 16, 41, -100, 68, 82, 98]
  Compare 10 and 16
  No swap needed
  Compare 16 and 41
  No swap needed
  Compare 41 and -100
  Swap 41 and -100
  List after swap: [0, 10, 16, -100, 41, 68, 82, 98]

Pass 5:
  Compare 0 and 10
  No swap needed
  Compare 10 and 16
  No swap needed
  Compare 16 and -100
  Swap 16 and -100
  List after swap: [0, 10, -100, 16, 41, 68, 82, 98]

Pass 6:
  Compare 0 and 10
  No swap needed
  Compare 10 and -100
  Swap 10 and -100
  List after swap: [0, -100, 10, 16, 41, 68, 82, 98]

Pass 7:
  Compare 0 and -100
  Swap 0 and -100
  List after swap: [-100, 0, 10, 16, 41, 68, 82, 98]

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

Final sorted list: [-100, 0, 10, 16, 41, 68, 82, 98]
</think>

<response>-100, 0, 10, 16, 41, 68, 82, 98</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -87, -6, 77, -90, 22, 41.

output:
<think>
Initial list: [-87, -6, 77, -90, 22, 41]

Pass 1:
  Compare -87 and -6
  No swap needed
  Compare -6 and 77
  No swap needed
  Compare 77 and -90
  Swap 77 and -90
  List after swap: [-87, -6, -90, 77, 22, 41]
  Compare 77 and 22
  Swap 77 and 22
  List after swap: [-87, -6, -90, 22, 77, 41]
  Compare 77 and 41
  Swap 77 and 41
  List after swap: [-87, -6, -90, 22, 41, 77]

Pass 2:
  Compare -87 and -6
  No swap needed
  Compare -6 and -90
  Swap -6 and -90
  List after swap: [-87, -90, -6, 22, 41, 77]
  Compare -6 and 22
  No swap needed
  Compare 22 and 41
  No swap needed

Pass 3:
  Compare -87 and -90
  Swap -87 and -90
  List after swap: [-90, -87, -6, 22, 41, 77]
  Compare -87 and -6
  No swap needed
  Compare -6 and 22
  No swap needed

Pass 4:
  Compare -90 and -87
  No swap needed
  Compare -87 and -6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -87, -6, 22, 41, 77]
</think>

<response>-90, -87, -6, 22, 41, 77</response>


input: Sort these integers -88, -34, -28, -79, -18, 36, -65, 38 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-88, -34, -28, -79, -18, 36, -65, 38]

Pass 1:
  Compare -88 and -34
  No swap needed
  Compare -34 and -28
  No swap needed
  Compare -28 and -79
  Swap -28 and -79
  List after swap: [-88, -34, -79, -28, -18, 36, -65, 38]
  Compare -28 and -18
  No swap needed
  Compare -18 and 36
  No swap needed
  Compare 36 and -65
  Swap 36 and -65
  List after swap: [-88, -34, -79, -28, -18, -65, 36, 38]
  Compare 36 and 38
  No swap needed

Pass 2:
  Compare -88 and -34
  No swap needed
  Compare -34 and -79
  Swap -34 and -79
  List after swap: [-88, -79, -34, -28, -18, -65, 36, 38]
  Compare -34 and -28
  No swap needed
  Compare -28 and -18
  No swap needed
  Compare -18 and -65
  Swap -18 and -65
  List after swap: [-88, -79, -34, -28, -65, -18, 36, 38]
  Compare -18 and 36
  No swap needed

Pass 3:
  Compare -88 and -79
  No swap needed
  Compare -79 and -34
  No swap needed
  Compare -34 and -28
  No swap needed
  Compare -28 and -65
  Swap -28 and -65
  List after swap: [-88, -79, -34, -65, -28, -18, 36, 38]
  Compare -28 and -18
  No swap needed

Pass 4:
  Compare -88 and -79
  No swap needed
  Compare -79 and -34
  No swap needed
  Compare -34 and -65
  Swap -34 and -65
  List after swap: [-88, -79, -65, -34, -28, -18, 36, 38]
  Compare -34 and -28
  No swap needed

Pass 5:
  Compare -88 and -79
  No swap needed
  Compare -79 and -65
  No swap needed
  Compare -65 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -79, -65, -34, -28, -18, 36, 38]
</think>

<response>-88, -79, -65, -34, -28, -18, 36, 38</response>


input: Using the bubble sort method, sort 23, -72, -37, 7, -3, 24 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [23, -72, -37, 7, -3, 24]

Pass 1:
  Compare 23 and -72
  Swap 23 and -72
  List after swap: [-72, 23, -37, 7, -3, 24]
  Compare 23 and -37
  Swap 23 and -37
  List after swap: [-72, -37, 23, 7, -3, 24]
  Compare 23 and 7
  Swap 23 and 7
  List after swap: [-72, -37, 7, 23, -3, 24]
  Compare 23 and -3
  Swap 23 and -3
  List after swap: [-72, -37, 7, -3, 23, 24]
  Compare 23 and 24
  No swap needed

Pass 2:
  Compare -72 and -37
  No swap needed
  Compare -37 and 7
  No swap needed
  Compare 7 and -3
  Swap 7 and -3
  List after swap: [-72, -37, -3, 7, 23, 24]
  Compare 7 and 23
  No swap needed

Pass 3:
  Compare -72 and -37
  No swap needed
  Compare -37 and -3
  No swap needed
  Compare -3 and 7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -37, -3, 7, 23, 24]
</think>

<response>-72, -37, -3, 7, 23, 24</response>