input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 43, -99, 77, 2, 55, -53, -54, 41, -17, -25.

output:
<think>
Initial list: [43, -99, 77, 2, 55, -53, -54, 41, -17, -25]

Pass 1:
  Compare 43 and -99
  Swap 43 and -99
  List after swap: [-99, 43, 77, 2, 55, -53, -54, 41, -17, -25]
  Compare 43 and 77
  No swap needed
  Compare 77 and 2
  Swap 77 and 2
  List after swap: [-99, 43, 2, 77, 55, -53, -54, 41, -17, -25]
  Compare 77 and 55
  Swap 77 and 55
  List after swap: [-99, 43, 2, 55, 77, -53, -54, 41, -17, -25]
  Compare 77 and -53
  Swap 77 and -53
  List after swap: [-99, 43, 2, 55, -53, 77, -54, 41, -17, -25]
  Compare 77 and -54
  Swap 77 and -54
  List after swap: [-99, 43, 2, 55, -53, -54, 77, 41, -17, -25]
  Compare 77 and 41
  Swap 77 and 41
  List after swap: [-99, 43, 2, 55, -53, -54, 41, 77, -17, -25]
  Compare 77 and -17
  Swap 77 and -17
  List after swap: [-99, 43, 2, 55, -53, -54, 41, -17, 77, -25]
  Compare 77 and -25
  Swap 77 and -25
  List after swap: [-99, 43, 2, 55, -53, -54, 41, -17, -25, 77]

Pass 2:
  Compare -99 and 43
  No swap needed
  Compare 43 and 2
  Swap 43 and 2
  List after swap: [-99, 2, 43, 55, -53, -54, 41, -17, -25, 77]
  Compare 43 and 55
  No swap needed
  Compare 55 and -53
  Swap 55 and -53
  List after swap: [-99, 2, 43, -53, 55, -54, 41, -17, -25, 77]
  Compare 55 and -54
  Swap 55 and -54
  List after swap: [-99, 2, 43, -53, -54, 55, 41, -17, -25, 77]
  Compare 55 and 41
  Swap 55 and 41
  List after swap: [-99, 2, 43, -53, -54, 41, 55, -17, -25, 77]
  Compare 55 and -17
  Swap 55 and -17
  List after swap: [-99, 2, 43, -53, -54, 41, -17, 55, -25, 77]
  Compare 55 and -25
  Swap 55 and -25
  List after swap: [-99, 2, 43, -53, -54, 41, -17, -25, 55, 77]

Pass 3:
  Compare -99 and 2
  No swap needed
  Compare 2 and 43
  No swap needed
  Compare 43 and -53
  Swap 43 and -53
  List after swap: [-99, 2, -53, 43, -54, 41, -17, -25, 55, 77]
  Compare 43 and -54
  Swap 43 and -54
  List after swap: [-99, 2, -53, -54, 43, 41, -17, -25, 55, 77]
  Compare 43 and 41
  Swap 43 and 41
  List after swap: [-99, 2, -53, -54, 41, 43, -17, -25, 55, 77]
  Compare 43 and -17
  Swap 43 and -17
  List after swap: [-99, 2, -53, -54, 41, -17, 43, -25, 55, 77]
  Compare 43 and -25
  Swap 43 and -25
  List after swap: [-99, 2, -53, -54, 41, -17, -25, 43, 55, 77]

Pass 4:
  Compare -99 and 2
  No swap needed
  Compare 2 and -53
  Swap 2 and -53
  List after swap: [-99, -53, 2, -54, 41, -17, -25, 43, 55, 77]
  Compare 2 and -54
  Swap 2 and -54
  List after swap: [-99, -53, -54, 2, 41, -17, -25, 43, 55, 77]
  Compare 2 and 41
  No swap needed
  Compare 41 and -17
  Swap 41 and -17
  List after swap: [-99, -53, -54, 2, -17, 41, -25, 43, 55, 77]
  Compare 41 and -25
  Swap 41 and -25
  List after swap: [-99, -53, -54, 2, -17, -25, 41, 43, 55, 77]

Pass 5:
  Compare -99 and -53
  No swap needed
  Compare -53 and -54
  Swap -53 and -54
  List after swap: [-99, -54, -53, 2, -17, -25, 41, 43, 55, 77]
  Compare -53 and 2
  No swap needed
  Compare 2 and -17
  Swap 2 and -17
  List after swap: [-99, -54, -53, -17, 2, -25, 41, 43, 55, 77]
  Compare 2 and -25
  Swap 2 and -25
  List after swap: [-99, -54, -53, -17, -25, 2, 41, 43, 55, 77]

Pass 6:
  Compare -99 and -54
  No swap needed
  Compare -54 and -53
  No swap needed
  Compare -53 and -17
  No swap needed
  Compare -17 and -25
  Swap -17 and -25
  List after swap: [-99, -54, -53, -25, -17, 2, 41, 43, 55, 77]

Pass 7:
  Compare -99 and -54
  No swap needed
  Compare -54 and -53
  No swap needed
  Compare -53 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -54, -53, -25, -17, 2, 41, 43, 55, 77]
</think>

<response>-99, -54, -53, -25, -17, 2, 41, 43, 55, 77</response>


input: Execute bubble sort to sort 8, 81, -26, -75, 45, -16, -21, -93, -8, 30 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [8, 81, -26, -75, 45, -16, -21, -93, -8, 30]

Pass 1:
  Compare 8 and 81
  No swap needed
  Compare 81 and -26
  Swap 81 and -26
  List after swap: [8, -26, 81, -75, 45, -16, -21, -93, -8, 30]
  Compare 81 and -75
  Swap 81 and -75
  List after swap: [8, -26, -75, 81, 45, -16, -21, -93, -8, 30]
  Compare 81 and 45
  Swap 81 and 45
  List after swap: [8, -26, -75, 45, 81, -16, -21, -93, -8, 30]
  Compare 81 and -16
  Swap 81 and -16
  List after swap: [8, -26, -75, 45, -16, 81, -21, -93, -8, 30]
  Compare 81 and -21
  Swap 81 and -21
  List after swap: [8, -26, -75, 45, -16, -21, 81, -93, -8, 30]
  Compare 81 and -93
  Swap 81 and -93
  List after swap: [8, -26, -75, 45, -16, -21, -93, 81, -8, 30]
  Compare 81 and -8
  Swap 81 and -8
  List after swap: [8, -26, -75, 45, -16, -21, -93, -8, 81, 30]
  Compare 81 and 30
  Swap 81 and 30
  List after swap: [8, -26, -75, 45, -16, -21, -93, -8, 30, 81]

Pass 2:
  Compare 8 and -26
  Swap 8 and -26
  List after swap: [-26, 8, -75, 45, -16, -21, -93, -8, 30, 81]
  Compare 8 and -75
  Swap 8 and -75
  List after swap: [-26, -75, 8, 45, -16, -21, -93, -8, 30, 81]
  Compare 8 and 45
  No swap needed
  Compare 45 and -16
  Swap 45 and -16
  List after swap: [-26, -75, 8, -16, 45, -21, -93, -8, 30, 81]
  Compare 45 and -21
  Swap 45 and -21
  List after swap: [-26, -75, 8, -16, -21, 45, -93, -8, 30, 81]
  Compare 45 and -93
  Swap 45 and -93
  List after swap: [-26, -75, 8, -16, -21, -93, 45, -8, 30, 81]
  Compare 45 and -8
  Swap 45 and -8
  List after swap: [-26, -75, 8, -16, -21, -93, -8, 45, 30, 81]
  Compare 45 and 30
  Swap 45 and 30
  List after swap: [-26, -75, 8, -16, -21, -93, -8, 30, 45, 81]

Pass 3:
  Compare -26 and -75
  Swap -26 and -75
  List after swap: [-75, -26, 8, -16, -21, -93, -8, 30, 45, 81]
  Compare -26 and 8
  No swap needed
  Compare 8 and -16
  Swap 8 and -16
  List after swap: [-75, -26, -16, 8, -21, -93, -8, 30, 45, 81]
  Compare 8 and -21
  Swap 8 and -21
  List after swap: [-75, -26, -16, -21, 8, -93, -8, 30, 45, 81]
  Compare 8 and -93
  Swap 8 and -93
  List after swap: [-75, -26, -16, -21, -93, 8, -8, 30, 45, 81]
  Compare 8 and -8
  Swap 8 and -8
  List after swap: [-75, -26, -16, -21, -93, -8, 8, 30, 45, 81]
  Compare 8 and 30
  No swap needed

Pass 4:
  Compare -75 and -26
  No swap needed
  Compare -26 and -16
  No swap needed
  Compare -16 and -21
  Swap -16 and -21
  List after swap: [-75, -26, -21, -16, -93, -8, 8, 30, 45, 81]
  Compare -16 and -93
  Swap -16 and -93
  List after swap: [-75, -26, -21, -93, -16, -8, 8, 30, 45, 81]
  Compare -16 and -8
  No swap needed
  Compare -8 and 8
  No swap needed

Pass 5:
  Compare -75 and -26
  No swap needed
  Compare -26 and -21
  No swap needed
  Compare -21 and -93
  Swap -21 and -93
  List after swap: [-75, -26, -93, -21, -16, -8, 8, 30, 45, 81]
  Compare -21 and -16
  No swap needed
  Compare -16 and -8
  No swap needed

Pass 6:
  Compare -75 and -26
  No swap needed
  Compare -26 and -93
  Swap -26 and -93
  List after swap: [-75, -93, -26, -21, -16, -8, 8, 30, 45, 81]
  Compare -26 and -21
  No swap needed
  Compare -21 and -16
  No swap needed

Pass 7:
  Compare -75 and -93
  Swap -75 and -93
  List after swap: [-93, -75, -26, -21, -16, -8, 8, 30, 45, 81]
  Compare -75 and -26
  No swap needed
  Compare -26 and -21
  No swap needed

Pass 8:
  Compare -93 and -75
  No swap needed
  Compare -75 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -75, -26, -21, -16, -8, 8, 30, 45, 81]
</think>

<response>-93, -75, -26, -21, -16, -8, 8, 30, 45, 81</response>


input: Execute bubble sort to sort -78, 21, 82, 67, 39, 79, 13, 52, 84, 18 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-78, 21, 82, 67, 39, 79, 13, 52, 84, 18]

Pass 1:
  Compare -78 and 21
  No swap needed
  Compare 21 and 82
  No swap needed
  Compare 82 and 67
  Swap 82 and 67
  List after swap: [-78, 21, 67, 82, 39, 79, 13, 52, 84, 18]
  Compare 82 and 39
  Swap 82 and 39
  List after swap: [-78, 21, 67, 39, 82, 79, 13, 52, 84, 18]
  Compare 82 and 79
  Swap 82 and 79
  List after swap: [-78, 21, 67, 39, 79, 82, 13, 52, 84, 18]
  Compare 82 and 13
  Swap 82 and 13
  List after swap: [-78, 21, 67, 39, 79, 13, 82, 52, 84, 18]
  Compare 82 and 52
  Swap 82 and 52
  List after swap: [-78, 21, 67, 39, 79, 13, 52, 82, 84, 18]
  Compare 82 and 84
  No swap needed
  Compare 84 and 18
  Swap 84 and 18
  List after swap: [-78, 21, 67, 39, 79, 13, 52, 82, 18, 84]

Pass 2:
  Compare -78 and 21
  No swap needed
  Compare 21 and 67
  No swap needed
  Compare 67 and 39
  Swap 67 and 39
  List after swap: [-78, 21, 39, 67, 79, 13, 52, 82, 18, 84]
  Compare 67 and 79
  No swap needed
  Compare 79 and 13
  Swap 79 and 13
  List after swap: [-78, 21, 39, 67, 13, 79, 52, 82, 18, 84]
  Compare 79 and 52
  Swap 79 and 52
  List after swap: [-78, 21, 39, 67, 13, 52, 79, 82, 18, 84]
  Compare 79 and 82
  No swap needed
  Compare 82 and 18
  Swap 82 and 18
  List after swap: [-78, 21, 39, 67, 13, 52, 79, 18, 82, 84]

Pass 3:
  Compare -78 and 21
  No swap needed
  Compare 21 and 39
  No swap needed
  Compare 39 and 67
  No swap needed
  Compare 67 and 13
  Swap 67 and 13
  List after swap: [-78, 21, 39, 13, 67, 52, 79, 18, 82, 84]
  Compare 67 and 52
  Swap 67 and 52
  List after swap: [-78, 21, 39, 13, 52, 67, 79, 18, 82, 84]
  Compare 67 and 79
  No swap needed
  Compare 79 and 18
  Swap 79 and 18
  List after swap: [-78, 21, 39, 13, 52, 67, 18, 79, 82, 84]

Pass 4:
  Compare -78 and 21
  No swap needed
  Compare 21 and 39
  No swap needed
  Compare 39 and 13
  Swap 39 and 13
  List after swap: [-78, 21, 13, 39, 52, 67, 18, 79, 82, 84]
  Compare 39 and 52
  No swap needed
  Compare 52 and 67
  No swap needed
  Compare 67 and 18
  Swap 67 and 18
  List after swap: [-78, 21, 13, 39, 52, 18, 67, 79, 82, 84]

Pass 5:
  Compare -78 and 21
  No swap needed
  Compare 21 and 13
  Swap 21 and 13
  List after swap: [-78, 13, 21, 39, 52, 18, 67, 79, 82, 84]
  Compare 21 and 39
  No swap needed
  Compare 39 and 52
  No swap needed
  Compare 52 and 18
  Swap 52 and 18
  List after swap: [-78, 13, 21, 39, 18, 52, 67, 79, 82, 84]

Pass 6:
  Compare -78 and 13
  No swap needed
  Compare 13 and 21
  No swap needed
  Compare 21 and 39
  No swap needed
  Compare 39 and 18
  Swap 39 and 18
  List after swap: [-78, 13, 21, 18, 39, 52, 67, 79, 82, 84]

Pass 7:
  Compare -78 and 13
  No swap needed
  Compare 13 and 21
  No swap needed
  Compare 21 and 18
  Swap 21 and 18
  List after swap: [-78, 13, 18, 21, 39, 52, 67, 79, 82, 84]

Pass 8:
  Compare -78 and 13
  No swap needed
  Compare 13 and 18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, 13, 18, 21, 39, 52, 67, 79, 82, 84]
</think>

<response>-78, 13, 18, 21, 39, 52, 67, 79, 82, 84</response>


input: Carry out the bubble sort algorithm on -1, -15, 63, -92, 61, -38 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-1, -15, 63, -92, 61, -38]

Pass 1:
  Compare -1 and -15
  Swap -1 and -15
  List after swap: [-15, -1, 63, -92, 61, -38]
  Compare -1 and 63
  No swap needed
  Compare 63 and -92
  Swap 63 and -92
  List after swap: [-15, -1, -92, 63, 61, -38]
  Compare 63 and 61
  Swap 63 and 61
  List after swap: [-15, -1, -92, 61, 63, -38]
  Compare 63 and -38
  Swap 63 and -38
  List after swap: [-15, -1, -92, 61, -38, 63]

Pass 2:
  Compare -15 and -1
  No swap needed
  Compare -1 and -92
  Swap -1 and -92
  List after swap: [-15, -92, -1, 61, -38, 63]
  Compare -1 and 61
  No swap needed
  Compare 61 and -38
  Swap 61 and -38
  List after swap: [-15, -92, -1, -38, 61, 63]

Pass 3:
  Compare -15 and -92
  Swap -15 and -92
  List after swap: [-92, -15, -1, -38, 61, 63]
  Compare -15 and -1
  No swap needed
  Compare -1 and -38
  Swap -1 and -38
  List after swap: [-92, -15, -38, -1, 61, 63]

Pass 4:
  Compare -92 and -15
  No swap needed
  Compare -15 and -38
  Swap -15 and -38
  List after swap: [-92, -38, -15, -1, 61, 63]

Pass 5:
  Compare -92 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -38, -15, -1, 61, 63]
</think>

<response>-92, -38, -15, -1, 61, 63</response>


input: Sort the list -39, 24, 56, 39, -90, -98, 54, 80, -60 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-39, 24, 56, 39, -90, -98, 54, 80, -60]

Pass 1:
  Compare -39 and 24
  No swap needed
  Compare 24 and 56
  No swap needed
  Compare 56 and 39
  Swap 56 and 39
  List after swap: [-39, 24, 39, 56, -90, -98, 54, 80, -60]
  Compare 56 and -90
  Swap 56 and -90
  List after swap: [-39, 24, 39, -90, 56, -98, 54, 80, -60]
  Compare 56 and -98
  Swap 56 and -98
  List after swap: [-39, 24, 39, -90, -98, 56, 54, 80, -60]
  Compare 56 and 54
  Swap 56 and 54
  List after swap: [-39, 24, 39, -90, -98, 54, 56, 80, -60]
  Compare 56 and 80
  No swap needed
  Compare 80 and -60
  Swap 80 and -60
  List after swap: [-39, 24, 39, -90, -98, 54, 56, -60, 80]

Pass 2:
  Compare -39 and 24
  No swap needed
  Compare 24 and 39
  No swap needed
  Compare 39 and -90
  Swap 39 and -90
  List after swap: [-39, 24, -90, 39, -98, 54, 56, -60, 80]
  Compare 39 and -98
  Swap 39 and -98
  List after swap: [-39, 24, -90, -98, 39, 54, 56, -60, 80]
  Compare 39 and 54
  No swap needed
  Compare 54 and 56
  No swap needed
  Compare 56 and -60
  Swap 56 and -60
  List after swap: [-39, 24, -90, -98, 39, 54, -60, 56, 80]

Pass 3:
  Compare -39 and 24
  No swap needed
  Compare 24 and -90
  Swap 24 and -90
  List after swap: [-39, -90, 24, -98, 39, 54, -60, 56, 80]
  Compare 24 and -98
  Swap 24 and -98
  List after swap: [-39, -90, -98, 24, 39, 54, -60, 56, 80]
  Compare 24 and 39
  No swap needed
  Compare 39 and 54
  No swap needed
  Compare 54 and -60
  Swap 54 and -60
  List after swap: [-39, -90, -98, 24, 39, -60, 54, 56, 80]

Pass 4:
  Compare -39 and -90
  Swap -39 and -90
  List after swap: [-90, -39, -98, 24, 39, -60, 54, 56, 80]
  Compare -39 and -98
  Swap -39 and -98
  List after swap: [-90, -98, -39, 24, 39, -60, 54, 56, 80]
  Compare -39 and 24
  No swap needed
  Compare 24 and 39
  No swap needed
  Compare 39 and -60
  Swap 39 and -60
  List after swap: [-90, -98, -39, 24, -60, 39, 54, 56, 80]

Pass 5:
  Compare -90 and -98
  Swap -90 and -98
  List after swap: [-98, -90, -39, 24, -60, 39, 54, 56, 80]
  Compare -90 and -39
  No swap needed
  Compare -39 and 24
  No swap needed
  Compare 24 and -60
  Swap 24 and -60
  List after swap: [-98, -90, -39, -60, 24, 39, 54, 56, 80]

Pass 6:
  Compare -98 and -90
  No swap needed
  Compare -90 and -39
  No swap needed
  Compare -39 and -60
  Swap -39 and -60
  List after swap: [-98, -90, -60, -39, 24, 39, 54, 56, 80]

Pass 7:
  Compare -98 and -90
  No swap needed
  Compare -90 and -60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -90, -60, -39, 24, 39, 54, 56, 80]
</think>

<response>-98, -90, -60, -39, 24, 39, 54, 56, 80</response>


input: Use the bubble sort technique to reorder 90, -25, 20, 14, 68, -76, 77 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [90, -25, 20, 14, 68, -76, 77]

Pass 1:
  Compare 90 and -25
  Swap 90 and -25
  List after swap: [-25, 90, 20, 14, 68, -76, 77]
  Compare 90 and 20
  Swap 90 and 20
  List after swap: [-25, 20, 90, 14, 68, -76, 77]
  Compare 90 and 14
  Swap 90 and 14
  List after swap: [-25, 20, 14, 90, 68, -76, 77]
  Compare 90 and 68
  Swap 90 and 68
  List after swap: [-25, 20, 14, 68, 90, -76, 77]
  Compare 90 and -76
  Swap 90 and -76
  List after swap: [-25, 20, 14, 68, -76, 90, 77]
  Compare 90 and 77
  Swap 90 and 77
  List after swap: [-25, 20, 14, 68, -76, 77, 90]

Pass 2:
  Compare -25 and 20
  No swap needed
  Compare 20 and 14
  Swap 20 and 14
  List after swap: [-25, 14, 20, 68, -76, 77, 90]
  Compare 20 and 68
  No swap needed
  Compare 68 and -76
  Swap 68 and -76
  List after swap: [-25, 14, 20, -76, 68, 77, 90]
  Compare 68 and 77
  No swap needed

Pass 3:
  Compare -25 and 14
  No swap needed
  Compare 14 and 20
  No swap needed
  Compare 20 and -76
  Swap 20 and -76
  List after swap: [-25, 14, -76, 20, 68, 77, 90]
  Compare 20 and 68
  No swap needed

Pass 4:
  Compare -25 and 14
  No swap needed
  Compare 14 and -76
  Swap 14 and -76
  List after swap: [-25, -76, 14, 20, 68, 77, 90]
  Compare 14 and 20
  No swap needed

Pass 5:
  Compare -25 and -76
  Swap -25 and -76
  List after swap: [-76, -25, 14, 20, 68, 77, 90]
  Compare -25 and 14
  No swap needed

Pass 6:
  Compare -76 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -25, 14, 20, 68, 77, 90]
</think>

<response>-76, -25, 14, 20, 68, 77, 90</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -72, 2, -33, -39, 86, 22.

output:
<think>
Initial list: [-72, 2, -33, -39, 86, 22]

Pass 1:
  Compare -72 and 2
  No swap needed
  Compare 2 and -33
  Swap 2 and -33
  List after swap: [-72, -33, 2, -39, 86, 22]
  Compare 2 and -39
  Swap 2 and -39
  List after swap: [-72, -33, -39, 2, 86, 22]
  Compare 2 and 86
  No swap needed
  Compare 86 and 22
  Swap 86 and 22
  List after swap: [-72, -33, -39, 2, 22, 86]

Pass 2:
  Compare -72 and -33
  No swap needed
  Compare -33 and -39
  Swap -33 and -39
  List after swap: [-72, -39, -33, 2, 22, 86]
  Compare -33 and 2
  No swap needed
  Compare 2 and 22
  No swap needed

Pass 3:
  Compare -72 and -39
  No swap needed
  Compare -39 and -33
  No swap needed
  Compare -33 and 2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -39, -33, 2, 22, 86]
</think>

<response>-72, -39, -33, 2, 22, 86</response>


input: Using the bubble sort method, sort -26, -35, 2, 3 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-26, -35, 2, 3]

Pass 1:
  Compare -26 and -35
  Swap -26 and -35
  List after swap: [-35, -26, 2, 3]
  Compare -26 and 2
  No swap needed
  Compare 2 and 3
  No swap needed

Pass 2:
  Compare -35 and -26
  No swap needed
  Compare -26 and 2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-35, -26, 2, 3]
</think>

<response>-35, -26, 2, 3</response>


input: Using the bubble sort method, sort -77, -44, 88, -47, -49 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-77, -44, 88, -47, -49]

Pass 1:
  Compare -77 and -44
  No swap needed
  Compare -44 and 88
  No swap needed
  Compare 88 and -47
  Swap 88 and -47
  List after swap: [-77, -44, -47, 88, -49]
  Compare 88 and -49
  Swap 88 and -49
  List after swap: [-77, -44, -47, -49, 88]

Pass 2:
  Compare -77 and -44
  No swap needed
  Compare -44 and -47
  Swap -44 and -47
  List after swap: [-77, -47, -44, -49, 88]
  Compare -44 and -49
  Swap -44 and -49
  List after swap: [-77, -47, -49, -44, 88]

Pass 3:
  Compare -77 and -47
  No swap needed
  Compare -47 and -49
  Swap -47 and -49
  List after swap: [-77, -49, -47, -44, 88]

Pass 4:
  Compare -77 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -49, -47, -44, 88]
</think>

<response>-77, -49, -47, -44, 88</response>


input: Sort the list 27, 14, -19 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [27, 14, -19]

Pass 1:
  Compare 27 and 14
  Swap 27 and 14
  List after swap: [14, 27, -19]
  Compare 27 and -19
  Swap 27 and -19
  List after swap: [14, -19, 27]

Pass 2:
  Compare 14 and -19
  Swap 14 and -19
  List after swap: [-19, 14, 27]

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

Final sorted list: [-19, 14, 27]
</think>

<response>-19, 14, 27</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -77, 68, 59, 70, -25, -10, -95, -68, -26, -36.

output:
<think>
Initial list: [-77, 68, 59, 70, -25, -10, -95, -68, -26, -36]

Pass 1:
  Compare -77 and 68
  No swap needed
  Compare 68 and 59
  Swap 68 and 59
  List after swap: [-77, 59, 68, 70, -25, -10, -95, -68, -26, -36]
  Compare 68 and 70
  No swap needed
  Compare 70 and -25
  Swap 70 and -25
  List after swap: [-77, 59, 68, -25, 70, -10, -95, -68, -26, -36]
  Compare 70 and -10
  Swap 70 and -10
  List after swap: [-77, 59, 68, -25, -10, 70, -95, -68, -26, -36]
  Compare 70 and -95
  Swap 70 and -95
  List after swap: [-77, 59, 68, -25, -10, -95, 70, -68, -26, -36]
  Compare 70 and -68
  Swap 70 and -68
  List after swap: [-77, 59, 68, -25, -10, -95, -68, 70, -26, -36]
  Compare 70 and -26
  Swap 70 and -26
  List after swap: [-77, 59, 68, -25, -10, -95, -68, -26, 70, -36]
  Compare 70 and -36
  Swap 70 and -36
  List after swap: [-77, 59, 68, -25, -10, -95, -68, -26, -36, 70]

Pass 2:
  Compare -77 and 59
  No swap needed
  Compare 59 and 68
  No swap needed
  Compare 68 and -25
  Swap 68 and -25
  List after swap: [-77, 59, -25, 68, -10, -95, -68, -26, -36, 70]
  Compare 68 and -10
  Swap 68 and -10
  List after swap: [-77, 59, -25, -10, 68, -95, -68, -26, -36, 70]
  Compare 68 and -95
  Swap 68 and -95
  List after swap: [-77, 59, -25, -10, -95, 68, -68, -26, -36, 70]
  Compare 68 and -68
  Swap 68 and -68
  List after swap: [-77, 59, -25, -10, -95, -68, 68, -26, -36, 70]
  Compare 68 and -26
  Swap 68 and -26
  List after swap: [-77, 59, -25, -10, -95, -68, -26, 68, -36, 70]
  Compare 68 and -36
  Swap 68 and -36
  List after swap: [-77, 59, -25, -10, -95, -68, -26, -36, 68, 70]

Pass 3:
  Compare -77 and 59
  No swap needed
  Compare 59 and -25
  Swap 59 and -25
  List after swap: [-77, -25, 59, -10, -95, -68, -26, -36, 68, 70]
  Compare 59 and -10
  Swap 59 and -10
  List after swap: [-77, -25, -10, 59, -95, -68, -26, -36, 68, 70]
  Compare 59 and -95
  Swap 59 and -95
  List after swap: [-77, -25, -10, -95, 59, -68, -26, -36, 68, 70]
  Compare 59 and -68
  Swap 59 and -68
  List after swap: [-77, -25, -10, -95, -68, 59, -26, -36, 68, 70]
  Compare 59 and -26
  Swap 59 and -26
  List after swap: [-77, -25, -10, -95, -68, -26, 59, -36, 68, 70]
  Compare 59 and -36
  Swap 59 and -36
  List after swap: [-77, -25, -10, -95, -68, -26, -36, 59, 68, 70]

Pass 4:
  Compare -77 and -25
  No swap needed
  Compare -25 and -10
  No swap needed
  Compare -10 and -95
  Swap -10 and -95
  List after swap: [-77, -25, -95, -10, -68, -26, -36, 59, 68, 70]
  Compare -10 and -68
  Swap -10 and -68
  List after swap: [-77, -25, -95, -68, -10, -26, -36, 59, 68, 70]
  Compare -10 and -26
  Swap -10 and -26
  List after swap: [-77, -25, -95, -68, -26, -10, -36, 59, 68, 70]
  Compare -10 and -36
  Swap -10 and -36
  List after swap: [-77, -25, -95, -68, -26, -36, -10, 59, 68, 70]

Pass 5:
  Compare -77 and -25
  No swap needed
  Compare -25 and -95
  Swap -25 and -95
  List after swap: [-77, -95, -25, -68, -26, -36, -10, 59, 68, 70]
  Compare -25 and -68
  Swap -25 and -68
  List after swap: [-77, -95, -68, -25, -26, -36, -10, 59, 68, 70]
  Compare -25 and -26
  Swap -25 and -26
  List after swap: [-77, -95, -68, -26, -25, -36, -10, 59, 68, 70]
  Compare -25 and -36
  Swap -25 and -36
  List after swap: [-77, -95, -68, -26, -36, -25, -10, 59, 68, 70]

Pass 6:
  Compare -77 and -95
  Swap -77 and -95
  List after swap: [-95, -77, -68, -26, -36, -25, -10, 59, 68, 70]
  Compare -77 and -68
  No swap needed
  Compare -68 and -26
  No swap needed
  Compare -26 and -36
  Swap -26 and -36
  List after swap: [-95, -77, -68, -36, -26, -25, -10, 59, 68, 70]

Pass 7:
  Compare -95 and -77
  No swap needed
  Compare -77 and -68
  No swap needed
  Compare -68 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -77, -68, -36, -26, -25, -10, 59, 68, 70]
</think>

<response>-95, -77, -68, -36, -26, -25, -10, 59, 68, 70</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 56, -86, -87, 98.

output:
<think>
Initial list: [56, -86, -87, 98]

Pass 1:
  Compare 56 and -86
  Swap 56 and -86
  List after swap: [-86, 56, -87, 98]
  Compare 56 and -87
  Swap 56 and -87
  List after swap: [-86, -87, 56, 98]
  Compare 56 and 98
  No swap needed

Pass 2:
  Compare -86 and -87
  Swap -86 and -87
  List after swap: [-87, -86, 56, 98]
  Compare -86 and 56
  No swap needed

Pass 3:
  Compare -87 and -86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -86, 56, 98]
</think>

<response>-87, -86, 56, 98</response>


input: Using the bubble sort method, sort -54, -77 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-54, -77]

Pass 1:
  Compare -54 and -77
  Swap -54 and -77
  List after swap: [-77, -54]

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

Final sorted list: [-77, -54]
</think>

<response>-77, -54</response>


input: Use the bubble sort technique to reorder -54, 21, -60, 23 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-54, 21, -60, 23]

Pass 1:
  Compare -54 and 21
  No swap needed
  Compare 21 and -60
  Swap 21 and -60
  List after swap: [-54, -60, 21, 23]
  Compare 21 and 23
  No swap needed

Pass 2:
  Compare -54 and -60
  Swap -54 and -60
  List after swap: [-60, -54, 21, 23]
  Compare -54 and 21
  No swap needed

Pass 3:
  Compare -60 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -54, 21, 23]
</think>

<response>-60, -54, 21, 23</response>


input: Using the bubble sort method, sort -69, 50, 77, -94, 64, -52, -1, 91, -78 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-69, 50, 77, -94, 64, -52, -1, 91, -78]

Pass 1:
  Compare -69 and 50
  No swap needed
  Compare 50 and 77
  No swap needed
  Compare 77 and -94
  Swap 77 and -94
  List after swap: [-69, 50, -94, 77, 64, -52, -1, 91, -78]
  Compare 77 and 64
  Swap 77 and 64
  List after swap: [-69, 50, -94, 64, 77, -52, -1, 91, -78]
  Compare 77 and -52
  Swap 77 and -52
  List after swap: [-69, 50, -94, 64, -52, 77, -1, 91, -78]
  Compare 77 and -1
  Swap 77 and -1
  List after swap: [-69, 50, -94, 64, -52, -1, 77, 91, -78]
  Compare 77 and 91
  No swap needed
  Compare 91 and -78
  Swap 91 and -78
  List after swap: [-69, 50, -94, 64, -52, -1, 77, -78, 91]

Pass 2:
  Compare -69 and 50
  No swap needed
  Compare 50 and -94
  Swap 50 and -94
  List after swap: [-69, -94, 50, 64, -52, -1, 77, -78, 91]
  Compare 50 and 64
  No swap needed
  Compare 64 and -52
  Swap 64 and -52
  List after swap: [-69, -94, 50, -52, 64, -1, 77, -78, 91]
  Compare 64 and -1
  Swap 64 and -1
  List after swap: [-69, -94, 50, -52, -1, 64, 77, -78, 91]
  Compare 64 and 77
  No swap needed
  Compare 77 and -78
  Swap 77 and -78
  List after swap: [-69, -94, 50, -52, -1, 64, -78, 77, 91]

Pass 3:
  Compare -69 and -94
  Swap -69 and -94
  List after swap: [-94, -69, 50, -52, -1, 64, -78, 77, 91]
  Compare -69 and 50
  No swap needed
  Compare 50 and -52
  Swap 50 and -52
  List after swap: [-94, -69, -52, 50, -1, 64, -78, 77, 91]
  Compare 50 and -1
  Swap 50 and -1
  List after swap: [-94, -69, -52, -1, 50, 64, -78, 77, 91]
  Compare 50 and 64
  No swap needed
  Compare 64 and -78
  Swap 64 and -78
  List after swap: [-94, -69, -52, -1, 50, -78, 64, 77, 91]

Pass 4:
  Compare -94 and -69
  No swap needed
  Compare -69 and -52
  No swap needed
  Compare -52 and -1
  No swap needed
  Compare -1 and 50
  No swap needed
  Compare 50 and -78
  Swap 50 and -78
  List after swap: [-94, -69, -52, -1, -78, 50, 64, 77, 91]

Pass 5:
  Compare -94 and -69
  No swap needed
  Compare -69 and -52
  No swap needed
  Compare -52 and -1
  No swap needed
  Compare -1 and -78
  Swap -1 and -78
  List after swap: [-94, -69, -52, -78, -1, 50, 64, 77, 91]

Pass 6:
  Compare -94 and -69
  No swap needed
  Compare -69 and -52
  No swap needed
  Compare -52 and -78
  Swap -52 and -78
  List after swap: [-94, -69, -78, -52, -1, 50, 64, 77, 91]

Pass 7:
  Compare -94 and -69
  No swap needed
  Compare -69 and -78
  Swap -69 and -78
  List after swap: [-94, -78, -69, -52, -1, 50, 64, 77, 91]

Pass 8:
  Compare -94 and -78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -78, -69, -52, -1, 50, 64, 77, 91]
</think>

<response>-94, -78, -69, -52, -1, 50, 64, 77, 91</response>


input: Using the bubble sort method, sort 55, 6, 15, 44, -49, -1, 3, -69, 89 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [55, 6, 15, 44, -49, -1, 3, -69, 89]

Pass 1:
  Compare 55 and 6
  Swap 55 and 6
  List after swap: [6, 55, 15, 44, -49, -1, 3, -69, 89]
  Compare 55 and 15
  Swap 55 and 15
  List after swap: [6, 15, 55, 44, -49, -1, 3, -69, 89]
  Compare 55 and 44
  Swap 55 and 44
  List after swap: [6, 15, 44, 55, -49, -1, 3, -69, 89]
  Compare 55 and -49
  Swap 55 and -49
  List after swap: [6, 15, 44, -49, 55, -1, 3, -69, 89]
  Compare 55 and -1
  Swap 55 and -1
  List after swap: [6, 15, 44, -49, -1, 55, 3, -69, 89]
  Compare 55 and 3
  Swap 55 and 3
  List after swap: [6, 15, 44, -49, -1, 3, 55, -69, 89]
  Compare 55 and -69
  Swap 55 and -69
  List after swap: [6, 15, 44, -49, -1, 3, -69, 55, 89]
  Compare 55 and 89
  No swap needed

Pass 2:
  Compare 6 and 15
  No swap needed
  Compare 15 and 44
  No swap needed
  Compare 44 and -49
  Swap 44 and -49
  List after swap: [6, 15, -49, 44, -1, 3, -69, 55, 89]
  Compare 44 and -1
  Swap 44 and -1
  List after swap: [6, 15, -49, -1, 44, 3, -69, 55, 89]
  Compare 44 and 3
  Swap 44 and 3
  List after swap: [6, 15, -49, -1, 3, 44, -69, 55, 89]
  Compare 44 and -69
  Swap 44 and -69
  List after swap: [6, 15, -49, -1, 3, -69, 44, 55, 89]
  Compare 44 and 55
  No swap needed

Pass 3:
  Compare 6 and 15
  No swap needed
  Compare 15 and -49
  Swap 15 and -49
  List after swap: [6, -49, 15, -1, 3, -69, 44, 55, 89]
  Compare 15 and -1
  Swap 15 and -1
  List after swap: [6, -49, -1, 15, 3, -69, 44, 55, 89]
  Compare 15 and 3
  Swap 15 and 3
  List after swap: [6, -49, -1, 3, 15, -69, 44, 55, 89]
  Compare 15 and -69
  Swap 15 and -69
  List after swap: [6, -49, -1, 3, -69, 15, 44, 55, 89]
  Compare 15 and 44
  No swap needed

Pass 4:
  Compare 6 and -49
  Swap 6 and -49
  List after swap: [-49, 6, -1, 3, -69, 15, 44, 55, 89]
  Compare 6 and -1
  Swap 6 and -1
  List after swap: [-49, -1, 6, 3, -69, 15, 44, 55, 89]
  Compare 6 and 3
  Swap 6 and 3
  List after swap: [-49, -1, 3, 6, -69, 15, 44, 55, 89]
  Compare 6 and -69
  Swap 6 and -69
  List after swap: [-49, -1, 3, -69, 6, 15, 44, 55, 89]
  Compare 6 and 15
  No swap needed

Pass 5:
  Compare -49 and -1
  No swap needed
  Compare -1 and 3
  No swap needed
  Compare 3 and -69
  Swap 3 and -69
  List after swap: [-49, -1, -69, 3, 6, 15, 44, 55, 89]
  Compare 3 and 6
  No swap needed

Pass 6:
  Compare -49 and -1
  No swap needed
  Compare -1 and -69
  Swap -1 and -69
  List after swap: [-49, -69, -1, 3, 6, 15, 44, 55, 89]
  Compare -1 and 3
  No swap needed

Pass 7:
  Compare -49 and -69
  Swap -49 and -69
  List after swap: [-69, -49, -1, 3, 6, 15, 44, 55, 89]
  Compare -49 and -1
  No swap needed

Pass 8:
  Compare -69 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -49, -1, 3, 6, 15, 44, 55, 89]
</think>

<response>-69, -49, -1, 3, 6, 15, 44, 55, 89</response>


input: Execute bubble sort to sort -58, -2, 11, -27 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-58, -2, 11, -27]

Pass 1:
  Compare -58 and -2
  No swap needed
  Compare -2 and 11
  No swap needed
  Compare 11 and -27
  Swap 11 and -27
  List after swap: [-58, -2, -27, 11]

Pass 2:
  Compare -58 and -2
  No swap needed
  Compare -2 and -27
  Swap -2 and -27
  List after swap: [-58, -27, -2, 11]

Pass 3:
  Compare -58 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -27, -2, 11]
</think>

<response>-58, -27, -2, 11</response>


input: Sort the list -76, -1, -82, 72 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-76, -1, -82, 72]

Pass 1:
  Compare -76 and -1
  No swap needed
  Compare -1 and -82
  Swap -1 and -82
  List after swap: [-76, -82, -1, 72]
  Compare -1 and 72
  No swap needed

Pass 2:
  Compare -76 and -82
  Swap -76 and -82
  List after swap: [-82, -76, -1, 72]
  Compare -76 and -1
  No swap needed

Pass 3:
  Compare -82 and -76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -76, -1, 72]
</think>

<response>-82, -76, -1, 72</response>


input: Sort the list 94, 93, 8, -32, 86, -59, 26, 54 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [94, 93, 8, -32, 86, -59, 26, 54]

Pass 1:
  Compare 94 and 93
  Swap 94 and 93
  List after swap: [93, 94, 8, -32, 86, -59, 26, 54]
  Compare 94 and 8
  Swap 94 and 8
  List after swap: [93, 8, 94, -32, 86, -59, 26, 54]
  Compare 94 and -32
  Swap 94 and -32
  List after swap: [93, 8, -32, 94, 86, -59, 26, 54]
  Compare 94 and 86
  Swap 94 and 86
  List after swap: [93, 8, -32, 86, 94, -59, 26, 54]
  Compare 94 and -59
  Swap 94 and -59
  List after swap: [93, 8, -32, 86, -59, 94, 26, 54]
  Compare 94 and 26
  Swap 94 and 26
  List after swap: [93, 8, -32, 86, -59, 26, 94, 54]
  Compare 94 and 54
  Swap 94 and 54
  List after swap: [93, 8, -32, 86, -59, 26, 54, 94]

Pass 2:
  Compare 93 and 8
  Swap 93 and 8
  List after swap: [8, 93, -32, 86, -59, 26, 54, 94]
  Compare 93 and -32
  Swap 93 and -32
  List after swap: [8, -32, 93, 86, -59, 26, 54, 94]
  Compare 93 and 86
  Swap 93 and 86
  List after swap: [8, -32, 86, 93, -59, 26, 54, 94]
  Compare 93 and -59
  Swap 93 and -59
  List after swap: [8, -32, 86, -59, 93, 26, 54, 94]
  Compare 93 and 26
  Swap 93 and 26
  List after swap: [8, -32, 86, -59, 26, 93, 54, 94]
  Compare 93 and 54
  Swap 93 and 54
  List after swap: [8, -32, 86, -59, 26, 54, 93, 94]

Pass 3:
  Compare 8 and -32
  Swap 8 and -32
  List after swap: [-32, 8, 86, -59, 26, 54, 93, 94]
  Compare 8 and 86
  No swap needed
  Compare 86 and -59
  Swap 86 and -59
  List after swap: [-32, 8, -59, 86, 26, 54, 93, 94]
  Compare 86 and 26
  Swap 86 and 26
  List after swap: [-32, 8, -59, 26, 86, 54, 93, 94]
  Compare 86 and 54
  Swap 86 and 54
  List after swap: [-32, 8, -59, 26, 54, 86, 93, 94]

Pass 4:
  Compare -32 and 8
  No swap needed
  Compare 8 and -59
  Swap 8 and -59
  List after swap: [-32, -59, 8, 26, 54, 86, 93, 94]
  Compare 8 and 26
  No swap needed
  Compare 26 and 54
  No swap needed

Pass 5:
  Compare -32 and -59
  Swap -32 and -59
  List after swap: [-59, -32, 8, 26, 54, 86, 93, 94]
  Compare -32 and 8
  No swap needed
  Compare 8 and 26
  No swap needed

Pass 6:
  Compare -59 and -32
  No swap needed
  Compare -32 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, -32, 8, 26, 54, 86, 93, 94]
</think>

<response>-59, -32, 8, 26, 54, 86, 93, 94</response>


input: Sort these integers -45, 95, -2, 62 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-45, 95, -2, 62]

Pass 1:
  Compare -45 and 95
  No swap needed
  Compare 95 and -2
  Swap 95 and -2
  List after swap: [-45, -2, 95, 62]
  Compare 95 and 62
  Swap 95 and 62
  List after swap: [-45, -2, 62, 95]

Pass 2:
  Compare -45 and -2
  No swap needed
  Compare -2 and 62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-45, -2, 62, 95]
</think>

<response>-45, -2, 62, 95</response>


input: Perform a bubble sort on the integers -55, -42, -34, -75, 59, 96, 99, 36, 82, 61, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-55, -42, -34, -75, 59, 96, 99, 36, 82, 61]

Pass 1:
  Compare -55 and -42
  No swap needed
  Compare -42 and -34
  No swap needed
  Compare -34 and -75
  Swap -34 and -75
  List after swap: [-55, -42, -75, -34, 59, 96, 99, 36, 82, 61]
  Compare -34 and 59
  No swap needed
  Compare 59 and 96
  No swap needed
  Compare 96 and 99
  No swap needed
  Compare 99 and 36
  Swap 99 and 36
  List after swap: [-55, -42, -75, -34, 59, 96, 36, 99, 82, 61]
  Compare 99 and 82
  Swap 99 and 82
  List after swap: [-55, -42, -75, -34, 59, 96, 36, 82, 99, 61]
  Compare 99 and 61
  Swap 99 and 61
  List after swap: [-55, -42, -75, -34, 59, 96, 36, 82, 61, 99]

Pass 2:
  Compare -55 and -42
  No swap needed
  Compare -42 and -75
  Swap -42 and -75
  List after swap: [-55, -75, -42, -34, 59, 96, 36, 82, 61, 99]
  Compare -42 and -34
  No swap needed
  Compare -34 and 59
  No swap needed
  Compare 59 and 96
  No swap needed
  Compare 96 and 36
  Swap 96 and 36
  List after swap: [-55, -75, -42, -34, 59, 36, 96, 82, 61, 99]
  Compare 96 and 82
  Swap 96 and 82
  List after swap: [-55, -75, -42, -34, 59, 36, 82, 96, 61, 99]
  Compare 96 and 61
  Swap 96 and 61
  List after swap: [-55, -75, -42, -34, 59, 36, 82, 61, 96, 99]

Pass 3:
  Compare -55 and -75
  Swap -55 and -75
  List after swap: [-75, -55, -42, -34, 59, 36, 82, 61, 96, 99]
  Compare -55 and -42
  No swap needed
  Compare -42 and -34
  No swap needed
  Compare -34 and 59
  No swap needed
  Compare 59 and 36
  Swap 59 and 36
  List after swap: [-75, -55, -42, -34, 36, 59, 82, 61, 96, 99]
  Compare 59 and 82
  No swap needed
  Compare 82 and 61
  Swap 82 and 61
  List after swap: [-75, -55, -42, -34, 36, 59, 61, 82, 96, 99]

Pass 4:
  Compare -75 and -55
  No swap needed
  Compare -55 and -42
  No swap needed
  Compare -42 and -34
  No swap needed
  Compare -34 and 36
  No swap needed
  Compare 36 and 59
  No swap needed
  Compare 59 and 61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -55, -42, -34, 36, 59, 61, 82, 96, 99]
</think>

<response>-75, -55, -42, -34, 36, 59, 61, 82, 96, 99</response>


input: Arrange the numbers -96, 32, 96, 72, -4, 94, -5, 42, 80, 93 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-96, 32, 96, 72, -4, 94, -5, 42, 80, 93]

Pass 1:
  Compare -96 and 32
  No swap needed
  Compare 32 and 96
  No swap needed
  Compare 96 and 72
  Swap 96 and 72
  List after swap: [-96, 32, 72, 96, -4, 94, -5, 42, 80, 93]
  Compare 96 and -4
  Swap 96 and -4
  List after swap: [-96, 32, 72, -4, 96, 94, -5, 42, 80, 93]
  Compare 96 and 94
  Swap 96 and 94
  List after swap: [-96, 32, 72, -4, 94, 96, -5, 42, 80, 93]
  Compare 96 and -5
  Swap 96 and -5
  List after swap: [-96, 32, 72, -4, 94, -5, 96, 42, 80, 93]
  Compare 96 and 42
  Swap 96 and 42
  List after swap: [-96, 32, 72, -4, 94, -5, 42, 96, 80, 93]
  Compare 96 and 80
  Swap 96 and 80
  List after swap: [-96, 32, 72, -4, 94, -5, 42, 80, 96, 93]
  Compare 96 and 93
  Swap 96 and 93
  List after swap: [-96, 32, 72, -4, 94, -5, 42, 80, 93, 96]

Pass 2:
  Compare -96 and 32
  No swap needed
  Compare 32 and 72
  No swap needed
  Compare 72 and -4
  Swap 72 and -4
  List after swap: [-96, 32, -4, 72, 94, -5, 42, 80, 93, 96]
  Compare 72 and 94
  No swap needed
  Compare 94 and -5
  Swap 94 and -5
  List after swap: [-96, 32, -4, 72, -5, 94, 42, 80, 93, 96]
  Compare 94 and 42
  Swap 94 and 42
  List after swap: [-96, 32, -4, 72, -5, 42, 94, 80, 93, 96]
  Compare 94 and 80
  Swap 94 and 80
  List after swap: [-96, 32, -4, 72, -5, 42, 80, 94, 93, 96]
  Compare 94 and 93
  Swap 94 and 93
  List after swap: [-96, 32, -4, 72, -5, 42, 80, 93, 94, 96]

Pass 3:
  Compare -96 and 32
  No swap needed
  Compare 32 and -4
  Swap 32 and -4
  List after swap: [-96, -4, 32, 72, -5, 42, 80, 93, 94, 96]
  Compare 32 and 72
  No swap needed
  Compare 72 and -5
  Swap 72 and -5
  List after swap: [-96, -4, 32, -5, 72, 42, 80, 93, 94, 96]
  Compare 72 and 42
  Swap 72 and 42
  List after swap: [-96, -4, 32, -5, 42, 72, 80, 93, 94, 96]
  Compare 72 and 80
  No swap needed
  Compare 80 and 93
  No swap needed

Pass 4:
  Compare -96 and -4
  No swap needed
  Compare -4 and 32
  No swap needed
  Compare 32 and -5
  Swap 32 and -5
  List after swap: [-96, -4, -5, 32, 42, 72, 80, 93, 94, 96]
  Compare 32 and 42
  No swap needed
  Compare 42 and 72
  No swap needed
  Compare 72 and 80
  No swap needed

Pass 5:
  Compare -96 and -4
  No swap needed
  Compare -4 and -5
  Swap -4 and -5
  List after swap: [-96, -5, -4, 32, 42, 72, 80, 93, 94, 96]
  Compare -4 and 32
  No swap needed
  Compare 32 and 42
  No swap needed
  Compare 42 and 72
  No swap needed

Pass 6:
  Compare -96 and -5
  No swap needed
  Compare -5 and -4
  No swap needed
  Compare -4 and 32
  No swap needed
  Compare 32 and 42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -5, -4, 32, 42, 72, 80, 93, 94, 96]
</think>

<response>-96, -5, -4, 32, 42, 72, 80, 93, 94, 96</response>


input: Carry out the bubble sort algorithm on -6, 11, 58, 52, 12 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-6, 11, 58, 52, 12]

Pass 1:
  Compare -6 and 11
  No swap needed
  Compare 11 and 58
  No swap needed
  Compare 58 and 52
  Swap 58 and 52
  List after swap: [-6, 11, 52, 58, 12]
  Compare 58 and 12
  Swap 58 and 12
  List after swap: [-6, 11, 52, 12, 58]

Pass 2:
  Compare -6 and 11
  No swap needed
  Compare 11 and 52
  No swap needed
  Compare 52 and 12
  Swap 52 and 12
  List after swap: [-6, 11, 12, 52, 58]

Pass 3:
  Compare -6 and 11
  No swap needed
  Compare 11 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-6, 11, 12, 52, 58]
</think>

<response>-6, 11, 12, 52, 58</response>


input: Arrange the numbers -78, 86, 46, -39, 87, 43, -27, -55, -65 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-78, 86, 46, -39, 87, 43, -27, -55, -65]

Pass 1:
  Compare -78 and 86
  No swap needed
  Compare 86 and 46
  Swap 86 and 46
  List after swap: [-78, 46, 86, -39, 87, 43, -27, -55, -65]
  Compare 86 and -39
  Swap 86 and -39
  List after swap: [-78, 46, -39, 86, 87, 43, -27, -55, -65]
  Compare 86 and 87
  No swap needed
  Compare 87 and 43
  Swap 87 and 43
  List after swap: [-78, 46, -39, 86, 43, 87, -27, -55, -65]
  Compare 87 and -27
  Swap 87 and -27
  List after swap: [-78, 46, -39, 86, 43, -27, 87, -55, -65]
  Compare 87 and -55
  Swap 87 and -55
  List after swap: [-78, 46, -39, 86, 43, -27, -55, 87, -65]
  Compare 87 and -65
  Swap 87 and -65
  List after swap: [-78, 46, -39, 86, 43, -27, -55, -65, 87]

Pass 2:
  Compare -78 and 46
  No swap needed
  Compare 46 and -39
  Swap 46 and -39
  List after swap: [-78, -39, 46, 86, 43, -27, -55, -65, 87]
  Compare 46 and 86
  No swap needed
  Compare 86 and 43
  Swap 86 and 43
  List after swap: [-78, -39, 46, 43, 86, -27, -55, -65, 87]
  Compare 86 and -27
  Swap 86 and -27
  List after swap: [-78, -39, 46, 43, -27, 86, -55, -65, 87]
  Compare 86 and -55
  Swap 86 and -55
  List after swap: [-78, -39, 46, 43, -27, -55, 86, -65, 87]
  Compare 86 and -65
  Swap 86 and -65
  List after swap: [-78, -39, 46, 43, -27, -55, -65, 86, 87]

Pass 3:
  Compare -78 and -39
  No swap needed
  Compare -39 and 46
  No swap needed
  Compare 46 and 43
  Swap 46 and 43
  List after swap: [-78, -39, 43, 46, -27, -55, -65, 86, 87]
  Compare 46 and -27
  Swap 46 and -27
  List after swap: [-78, -39, 43, -27, 46, -55, -65, 86, 87]
  Compare 46 and -55
  Swap 46 and -55
  List after swap: [-78, -39, 43, -27, -55, 46, -65, 86, 87]
  Compare 46 and -65
  Swap 46 and -65
  List after swap: [-78, -39, 43, -27, -55, -65, 46, 86, 87]

Pass 4:
  Compare -78 and -39
  No swap needed
  Compare -39 and 43
  No swap needed
  Compare 43 and -27
  Swap 43 and -27
  List after swap: [-78, -39, -27, 43, -55, -65, 46, 86, 87]
  Compare 43 and -55
  Swap 43 and -55
  List after swap: [-78, -39, -27, -55, 43, -65, 46, 86, 87]
  Compare 43 and -65
  Swap 43 and -65
  List after swap: [-78, -39, -27, -55, -65, 43, 46, 86, 87]

Pass 5:
  Compare -78 and -39
  No swap needed
  Compare -39 and -27
  No swap needed
  Compare -27 and -55
  Swap -27 and -55
  List after swap: [-78, -39, -55, -27, -65, 43, 46, 86, 87]
  Compare -27 and -65
  Swap -27 and -65
  List after swap: [-78, -39, -55, -65, -27, 43, 46, 86, 87]

Pass 6:
  Compare -78 and -39
  No swap needed
  Compare -39 and -55
  Swap -39 and -55
  List after swap: [-78, -55, -39, -65, -27, 43, 46, 86, 87]
  Compare -39 and -65
  Swap -39 and -65
  List after swap: [-78, -55, -65, -39, -27, 43, 46, 86, 87]

Pass 7:
  Compare -78 and -55
  No swap needed
  Compare -55 and -65
  Swap -55 and -65
  List after swap: [-78, -65, -55, -39, -27, 43, 46, 86, 87]

Pass 8:
  Compare -78 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -65, -55, -39, -27, 43, 46, 86, 87]
</think>

<response>-78, -65, -55, -39, -27, 43, 46, 86, 87</response>


input: Execute bubble sort to sort 38, -10, -67, -15, -30, -72, 65, 51, 47, -57 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [38, -10, -67, -15, -30, -72, 65, 51, 47, -57]

Pass 1:
  Compare 38 and -10
  Swap 38 and -10
  List after swap: [-10, 38, -67, -15, -30, -72, 65, 51, 47, -57]
  Compare 38 and -67
  Swap 38 and -67
  List after swap: [-10, -67, 38, -15, -30, -72, 65, 51, 47, -57]
  Compare 38 and -15
  Swap 38 and -15
  List after swap: [-10, -67, -15, 38, -30, -72, 65, 51, 47, -57]
  Compare 38 and -30
  Swap 38 and -30
  List after swap: [-10, -67, -15, -30, 38, -72, 65, 51, 47, -57]
  Compare 38 and -72
  Swap 38 and -72
  List after swap: [-10, -67, -15, -30, -72, 38, 65, 51, 47, -57]
  Compare 38 and 65
  No swap needed
  Compare 65 and 51
  Swap 65 and 51
  List after swap: [-10, -67, -15, -30, -72, 38, 51, 65, 47, -57]
  Compare 65 and 47
  Swap 65 and 47
  List after swap: [-10, -67, -15, -30, -72, 38, 51, 47, 65, -57]
  Compare 65 and -57
  Swap 65 and -57
  List after swap: [-10, -67, -15, -30, -72, 38, 51, 47, -57, 65]

Pass 2:
  Compare -10 and -67
  Swap -10 and -67
  List after swap: [-67, -10, -15, -30, -72, 38, 51, 47, -57, 65]
  Compare -10 and -15
  Swap -10 and -15
  List after swap: [-67, -15, -10, -30, -72, 38, 51, 47, -57, 65]
  Compare -10 and -30
  Swap -10 and -30
  List after swap: [-67, -15, -30, -10, -72, 38, 51, 47, -57, 65]
  Compare -10 and -72
  Swap -10 and -72
  List after swap: [-67, -15, -30, -72, -10, 38, 51, 47, -57, 65]
  Compare -10 and 38
  No swap needed
  Compare 38 and 51
  No swap needed
  Compare 51 and 47
  Swap 51 and 47
  List after swap: [-67, -15, -30, -72, -10, 38, 47, 51, -57, 65]
  Compare 51 and -57
  Swap 51 and -57
  List after swap: [-67, -15, -30, -72, -10, 38, 47, -57, 51, 65]

Pass 3:
  Compare -67 and -15
  No swap needed
  Compare -15 and -30
  Swap -15 and -30
  List after swap: [-67, -30, -15, -72, -10, 38, 47, -57, 51, 65]
  Compare -15 and -72
  Swap -15 and -72
  List after swap: [-67, -30, -72, -15, -10, 38, 47, -57, 51, 65]
  Compare -15 and -10
  No swap needed
  Compare -10 and 38
  No swap needed
  Compare 38 and 47
  No swap needed
  Compare 47 and -57
  Swap 47 and -57
  List after swap: [-67, -30, -72, -15, -10, 38, -57, 47, 51, 65]

Pass 4:
  Compare -67 and -30
  No swap needed
  Compare -30 and -72
  Swap -30 and -72
  List after swap: [-67, -72, -30, -15, -10, 38, -57, 47, 51, 65]
  Compare -30 and -15
  No swap needed
  Compare -15 and -10
  No swap needed
  Compare -10 and 38
  No swap needed
  Compare 38 and -57
  Swap 38 and -57
  List after swap: [-67, -72, -30, -15, -10, -57, 38, 47, 51, 65]

Pass 5:
  Compare -67 and -72
  Swap -67 and -72
  List after swap: [-72, -67, -30, -15, -10, -57, 38, 47, 51, 65]
  Compare -67 and -30
  No swap needed
  Compare -30 and -15
  No swap needed
  Compare -15 and -10
  No swap needed
  Compare -10 and -57
  Swap -10 and -57
  List after swap: [-72, -67, -30, -15, -57, -10, 38, 47, 51, 65]

Pass 6:
  Compare -72 and -67
  No swap needed
  Compare -67 and -30
  No swap needed
  Compare -30 and -15
  No swap needed
  Compare -15 and -57
  Swap -15 and -57
  List after swap: [-72, -67, -30, -57, -15, -10, 38, 47, 51, 65]

Pass 7:
  Compare -72 and -67
  No swap needed
  Compare -67 and -30
  No swap needed
  Compare -30 and -57
  Swap -30 and -57
  List after swap: [-72, -67, -57, -30, -15, -10, 38, 47, 51, 65]

Pass 8:
  Compare -72 and -67
  No swap needed
  Compare -67 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -67, -57, -30, -15, -10, 38, 47, 51, 65]
</think>

<response>-72, -67, -57, -30, -15, -10, 38, 47, 51, 65</response>


input: Arrange the numbers -2, 12, 54, -33, 82 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-2, 12, 54, -33, 82]

Pass 1:
  Compare -2 and 12
  No swap needed
  Compare 12 and 54
  No swap needed
  Compare 54 and -33
  Swap 54 and -33
  List after swap: [-2, 12, -33, 54, 82]
  Compare 54 and 82
  No swap needed

Pass 2:
  Compare -2 and 12
  No swap needed
  Compare 12 and -33
  Swap 12 and -33
  List after swap: [-2, -33, 12, 54, 82]
  Compare 12 and 54
  No swap needed

Pass 3:
  Compare -2 and -33
  Swap -2 and -33
  List after swap: [-33, -2, 12, 54, 82]
  Compare -2 and 12
  No swap needed

Pass 4:
  Compare -33 and -2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-33, -2, 12, 54, 82]
</think>

<response>-33, -2, 12, 54, 82</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -20, 32, 21, 55.

output:
<think>
Initial list: [-20, 32, 21, 55]

Pass 1:
  Compare -20 and 32
  No swap needed
  Compare 32 and 21
  Swap 32 and 21
  List after swap: [-20, 21, 32, 55]
  Compare 32 and 55
  No swap needed

Pass 2:
  Compare -20 and 21
  No swap needed
  Compare 21 and 32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-20, 21, 32, 55]
</think>

<response>-20, 21, 32, 55</response>


input: Implement bubble sort on -89, -64, 19, 34, 78, -79, 44, -47, 13, 76 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-89, -64, 19, 34, 78, -79, 44, -47, 13, 76]

Pass 1:
  Compare -89 and -64
  No swap needed
  Compare -64 and 19
  No swap needed
  Compare 19 and 34
  No swap needed
  Compare 34 and 78
  No swap needed
  Compare 78 and -79
  Swap 78 and -79
  List after swap: [-89, -64, 19, 34, -79, 78, 44, -47, 13, 76]
  Compare 78 and 44
  Swap 78 and 44
  List after swap: [-89, -64, 19, 34, -79, 44, 78, -47, 13, 76]
  Compare 78 and -47
  Swap 78 and -47
  List after swap: [-89, -64, 19, 34, -79, 44, -47, 78, 13, 76]
  Compare 78 and 13
  Swap 78 and 13
  List after swap: [-89, -64, 19, 34, -79, 44, -47, 13, 78, 76]
  Compare 78 and 76
  Swap 78 and 76
  List after swap: [-89, -64, 19, 34, -79, 44, -47, 13, 76, 78]

Pass 2:
  Compare -89 and -64
  No swap needed
  Compare -64 and 19
  No swap needed
  Compare 19 and 34
  No swap needed
  Compare 34 and -79
  Swap 34 and -79
  List after swap: [-89, -64, 19, -79, 34, 44, -47, 13, 76, 78]
  Compare 34 and 44
  No swap needed
  Compare 44 and -47
  Swap 44 and -47
  List after swap: [-89, -64, 19, -79, 34, -47, 44, 13, 76, 78]
  Compare 44 and 13
  Swap 44 and 13
  List after swap: [-89, -64, 19, -79, 34, -47, 13, 44, 76, 78]
  Compare 44 and 76
  No swap needed

Pass 3:
  Compare -89 and -64
  No swap needed
  Compare -64 and 19
  No swap needed
  Compare 19 and -79
  Swap 19 and -79
  List after swap: [-89, -64, -79, 19, 34, -47, 13, 44, 76, 78]
  Compare 19 and 34
  No swap needed
  Compare 34 and -47
  Swap 34 and -47
  List after swap: [-89, -64, -79, 19, -47, 34, 13, 44, 76, 78]
  Compare 34 and 13
  Swap 34 and 13
  List after swap: [-89, -64, -79, 19, -47, 13, 34, 44, 76, 78]
  Compare 34 and 44
  No swap needed

Pass 4:
  Compare -89 and -64
  No swap needed
  Compare -64 and -79
  Swap -64 and -79
  List after swap: [-89, -79, -64, 19, -47, 13, 34, 44, 76, 78]
  Compare -64 and 19
  No swap needed
  Compare 19 and -47
  Swap 19 and -47
  List after swap: [-89, -79, -64, -47, 19, 13, 34, 44, 76, 78]
  Compare 19 and 13
  Swap 19 and 13
  List after swap: [-89, -79, -64, -47, 13, 19, 34, 44, 76, 78]
  Compare 19 and 34
  No swap needed

Pass 5:
  Compare -89 and -79
  No swap needed
  Compare -79 and -64
  No swap needed
  Compare -64 and -47
  No swap needed
  Compare -47 and 13
  No swap needed
  Compare 13 and 19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -79, -64, -47, 13, 19, 34, 44, 76, 78]
</think>

<response>-89, -79, -64, -47, 13, 19, 34, 44, 76, 78</response>


input: Use the bubble sort technique to reorder 32, 5, 11 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [32, 5, 11]

Pass 1:
  Compare 32 and 5
  Swap 32 and 5
  List after swap: [5, 32, 11]
  Compare 32 and 11
  Swap 32 and 11
  List after swap: [5, 11, 32]

Pass 2:
  Compare 5 and 11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [5, 11, 32]
</think>

<response>5, 11, 32</response>


input: Perform a bubble sort on the integers 68, -14, 96, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [68, -14, 96]

Pass 1:
  Compare 68 and -14
  Swap 68 and -14
  List after swap: [-14, 68, 96]
  Compare 68 and 96
  No swap needed

Pass 2:
  Compare -14 and 68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-14, 68, 96]
</think>

<response>-14, 68, 96</response>


input: Carry out the bubble sort algorithm on -23, -60, 59, 81, -62, 43, -2, -53, -43, 73 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-23, -60, 59, 81, -62, 43, -2, -53, -43, 73]

Pass 1:
  Compare -23 and -60
  Swap -23 and -60
  List after swap: [-60, -23, 59, 81, -62, 43, -2, -53, -43, 73]
  Compare -23 and 59
  No swap needed
  Compare 59 and 81
  No swap needed
  Compare 81 and -62
  Swap 81 and -62
  List after swap: [-60, -23, 59, -62, 81, 43, -2, -53, -43, 73]
  Compare 81 and 43
  Swap 81 and 43
  List after swap: [-60, -23, 59, -62, 43, 81, -2, -53, -43, 73]
  Compare 81 and -2
  Swap 81 and -2
  List after swap: [-60, -23, 59, -62, 43, -2, 81, -53, -43, 73]
  Compare 81 and -53
  Swap 81 and -53
  List after swap: [-60, -23, 59, -62, 43, -2, -53, 81, -43, 73]
  Compare 81 and -43
  Swap 81 and -43
  List after swap: [-60, -23, 59, -62, 43, -2, -53, -43, 81, 73]
  Compare 81 and 73
  Swap 81 and 73
  List after swap: [-60, -23, 59, -62, 43, -2, -53, -43, 73, 81]

Pass 2:
  Compare -60 and -23
  No swap needed
  Compare -23 and 59
  No swap needed
  Compare 59 and -62
  Swap 59 and -62
  List after swap: [-60, -23, -62, 59, 43, -2, -53, -43, 73, 81]
  Compare 59 and 43
  Swap 59 and 43
  List after swap: [-60, -23, -62, 43, 59, -2, -53, -43, 73, 81]
  Compare 59 and -2
  Swap 59 and -2
  List after swap: [-60, -23, -62, 43, -2, 59, -53, -43, 73, 81]
  Compare 59 and -53
  Swap 59 and -53
  List after swap: [-60, -23, -62, 43, -2, -53, 59, -43, 73, 81]
  Compare 59 and -43
  Swap 59 and -43
  List after swap: [-60, -23, -62, 43, -2, -53, -43, 59, 73, 81]
  Compare 59 and 73
  No swap needed

Pass 3:
  Compare -60 and -23
  No swap needed
  Compare -23 and -62
  Swap -23 and -62
  List after swap: [-60, -62, -23, 43, -2, -53, -43, 59, 73, 81]
  Compare -23 and 43
  No swap needed
  Compare 43 and -2
  Swap 43 and -2
  List after swap: [-60, -62, -23, -2, 43, -53, -43, 59, 73, 81]
  Compare 43 and -53
  Swap 43 and -53
  List after swap: [-60, -62, -23, -2, -53, 43, -43, 59, 73, 81]
  Compare 43 and -43
  Swap 43 and -43
  List after swap: [-60, -62, -23, -2, -53, -43, 43, 59, 73, 81]
  Compare 43 and 59
  No swap needed

Pass 4:
  Compare -60 and -62
  Swap -60 and -62
  List after swap: [-62, -60, -23, -2, -53, -43, 43, 59, 73, 81]
  Compare -60 and -23
  No swap needed
  Compare -23 and -2
  No swap needed
  Compare -2 and -53
  Swap -2 and -53
  List after swap: [-62, -60, -23, -53, -2, -43, 43, 59, 73, 81]
  Compare -2 and -43
  Swap -2 and -43
  List after swap: [-62, -60, -23, -53, -43, -2, 43, 59, 73, 81]
  Compare -2 and 43
  No swap needed

Pass 5:
  Compare -62 and -60
  No swap needed
  Compare -60 and -23
  No swap needed
  Compare -23 and -53
  Swap -23 and -53
  List after swap: [-62, -60, -53, -23, -43, -2, 43, 59, 73, 81]
  Compare -23 and -43
  Swap -23 and -43
  List after swap: [-62, -60, -53, -43, -23, -2, 43, 59, 73, 81]
  Compare -23 and -2
  No swap needed

Pass 6:
  Compare -62 and -60
  No swap needed
  Compare -60 and -53
  No swap needed
  Compare -53 and -43
  No swap needed
  Compare -43 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -60, -53, -43, -23, -2, 43, 59, 73, 81]
</think>

<response>-62, -60, -53, -43, -23, -2, 43, 59, 73, 81</response>


input: Perform a bubble sort on the integers -72, 92, 57, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-72, 92, 57]

Pass 1:
  Compare -72 and 92
  No swap needed
  Compare 92 and 57
  Swap 92 and 57
  List after swap: [-72, 57, 92]

Pass 2:
  Compare -72 and 57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, 57, 92]
</think>

<response>-72, 57, 92</response>


input: Demonstrate how bubble sort orders the integers 98, -14, -46, 44, 40, 43, 94, 50 in ascending sequence, showing all steps.

output:
<think>
Initial list: [98, -14, -46, 44, 40, 43, 94, 50]

Pass 1:
  Compare 98 and -14
  Swap 98 and -14
  List after swap: [-14, 98, -46, 44, 40, 43, 94, 50]
  Compare 98 and -46
  Swap 98 and -46
  List after swap: [-14, -46, 98, 44, 40, 43, 94, 50]
  Compare 98 and 44
  Swap 98 and 44
  List after swap: [-14, -46, 44, 98, 40, 43, 94, 50]
  Compare 98 and 40
  Swap 98 and 40
  List after swap: [-14, -46, 44, 40, 98, 43, 94, 50]
  Compare 98 and 43
  Swap 98 and 43
  List after swap: [-14, -46, 44, 40, 43, 98, 94, 50]
  Compare 98 and 94
  Swap 98 and 94
  List after swap: [-14, -46, 44, 40, 43, 94, 98, 50]
  Compare 98 and 50
  Swap 98 and 50
  List after swap: [-14, -46, 44, 40, 43, 94, 50, 98]

Pass 2:
  Compare -14 and -46
  Swap -14 and -46
  List after swap: [-46, -14, 44, 40, 43, 94, 50, 98]
  Compare -14 and 44
  No swap needed
  Compare 44 and 40
  Swap 44 and 40
  List after swap: [-46, -14, 40, 44, 43, 94, 50, 98]
  Compare 44 and 43
  Swap 44 and 43
  List after swap: [-46, -14, 40, 43, 44, 94, 50, 98]
  Compare 44 and 94
  No swap needed
  Compare 94 and 50
  Swap 94 and 50
  List after swap: [-46, -14, 40, 43, 44, 50, 94, 98]

Pass 3:
  Compare -46 and -14
  No swap needed
  Compare -14 and 40
  No swap needed
  Compare 40 and 43
  No swap needed
  Compare 43 and 44
  No swap needed
  Compare 44 and 50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-46, -14, 40, 43, 44, 50, 94, 98]
</think>

<response>-46, -14, 40, 43, 44, 50, 94, 98</response>


input: Execute bubble sort to sort 70, 6, -82 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [70, 6, -82]

Pass 1:
  Compare 70 and 6
  Swap 70 and 6
  List after swap: [6, 70, -82]
  Compare 70 and -82
  Swap 70 and -82
  List after swap: [6, -82, 70]

Pass 2:
  Compare 6 and -82
  Swap 6 and -82
  List after swap: [-82, 6, 70]

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

Final sorted list: [-82, 6, 70]
</think>

<response>-82, 6, 70</response>


input: Carry out the bubble sort algorithm on 92, 1, 48, 95, 15, 26, 98 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [92, 1, 48, 95, 15, 26, 98]

Pass 1:
  Compare 92 and 1
  Swap 92 and 1
  List after swap: [1, 92, 48, 95, 15, 26, 98]
  Compare 92 and 48
  Swap 92 and 48
  List after swap: [1, 48, 92, 95, 15, 26, 98]
  Compare 92 and 95
  No swap needed
  Compare 95 and 15
  Swap 95 and 15
  List after swap: [1, 48, 92, 15, 95, 26, 98]
  Compare 95 and 26
  Swap 95 and 26
  List after swap: [1, 48, 92, 15, 26, 95, 98]
  Compare 95 and 98
  No swap needed

Pass 2:
  Compare 1 and 48
  No swap needed
  Compare 48 and 92
  No swap needed
  Compare 92 and 15
  Swap 92 and 15
  List after swap: [1, 48, 15, 92, 26, 95, 98]
  Compare 92 and 26
  Swap 92 and 26
  List after swap: [1, 48, 15, 26, 92, 95, 98]
  Compare 92 and 95
  No swap needed

Pass 3:
  Compare 1 and 48
  No swap needed
  Compare 48 and 15
  Swap 48 and 15
  List after swap: [1, 15, 48, 26, 92, 95, 98]
  Compare 48 and 26
  Swap 48 and 26
  List after swap: [1, 15, 26, 48, 92, 95, 98]
  Compare 48 and 92
  No swap needed

Pass 4:
  Compare 1 and 15
  No swap needed
  Compare 15 and 26
  No swap needed
  Compare 26 and 48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [1, 15, 26, 48, 92, 95, 98]
</think>

<response>1, 15, 26, 48, 92, 95, 98</response>


input: Arrange the numbers 5, 89, -67, 46, -87, 91, -57, 12 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [5, 89, -67, 46, -87, 91, -57, 12]

Pass 1:
  Compare 5 and 89
  No swap needed
  Compare 89 and -67
  Swap 89 and -67
  List after swap: [5, -67, 89, 46, -87, 91, -57, 12]
  Compare 89 and 46
  Swap 89 and 46
  List after swap: [5, -67, 46, 89, -87, 91, -57, 12]
  Compare 89 and -87
  Swap 89 and -87
  List after swap: [5, -67, 46, -87, 89, 91, -57, 12]
  Compare 89 and 91
  No swap needed
  Compare 91 and -57
  Swap 91 and -57
  List after swap: [5, -67, 46, -87, 89, -57, 91, 12]
  Compare 91 and 12
  Swap 91 and 12
  List after swap: [5, -67, 46, -87, 89, -57, 12, 91]

Pass 2:
  Compare 5 and -67
  Swap 5 and -67
  List after swap: [-67, 5, 46, -87, 89, -57, 12, 91]
  Compare 5 and 46
  No swap needed
  Compare 46 and -87
  Swap 46 and -87
  List after swap: [-67, 5, -87, 46, 89, -57, 12, 91]
  Compare 46 and 89
  No swap needed
  Compare 89 and -57
  Swap 89 and -57
  List after swap: [-67, 5, -87, 46, -57, 89, 12, 91]
  Compare 89 and 12
  Swap 89 and 12
  List after swap: [-67, 5, -87, 46, -57, 12, 89, 91]

Pass 3:
  Compare -67 and 5
  No swap needed
  Compare 5 and -87
  Swap 5 and -87
  List after swap: [-67, -87, 5, 46, -57, 12, 89, 91]
  Compare 5 and 46
  No swap needed
  Compare 46 and -57
  Swap 46 and -57
  List after swap: [-67, -87, 5, -57, 46, 12, 89, 91]
  Compare 46 and 12
  Swap 46 and 12
  List after swap: [-67, -87, 5, -57, 12, 46, 89, 91]

Pass 4:
  Compare -67 and -87
  Swap -67 and -87
  List after swap: [-87, -67, 5, -57, 12, 46, 89, 91]
  Compare -67 and 5
  No swap needed
  Compare 5 and -57
  Swap 5 and -57
  List after swap: [-87, -67, -57, 5, 12, 46, 89, 91]
  Compare 5 and 12
  No swap needed

Pass 5:
  Compare -87 and -67
  No swap needed
  Compare -67 and -57
  No swap needed
  Compare -57 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -67, -57, 5, 12, 46, 89, 91]
</think>

<response>-87, -67, -57, 5, 12, 46, 89, 91</response>


input: Carry out the bubble sort algorithm on -88, 81, -35, 63, -38, -83, 27, -27, 3, 76 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-88, 81, -35, 63, -38, -83, 27, -27, 3, 76]

Pass 1:
  Compare -88 and 81
  No swap needed
  Compare 81 and -35
  Swap 81 and -35
  List after swap: [-88, -35, 81, 63, -38, -83, 27, -27, 3, 76]
  Compare 81 and 63
  Swap 81 and 63
  List after swap: [-88, -35, 63, 81, -38, -83, 27, -27, 3, 76]
  Compare 81 and -38
  Swap 81 and -38
  List after swap: [-88, -35, 63, -38, 81, -83, 27, -27, 3, 76]
  Compare 81 and -83
  Swap 81 and -83
  List after swap: [-88, -35, 63, -38, -83, 81, 27, -27, 3, 76]
  Compare 81 and 27
  Swap 81 and 27
  List after swap: [-88, -35, 63, -38, -83, 27, 81, -27, 3, 76]
  Compare 81 and -27
  Swap 81 and -27
  List after swap: [-88, -35, 63, -38, -83, 27, -27, 81, 3, 76]
  Compare 81 and 3
  Swap 81 and 3
  List after swap: [-88, -35, 63, -38, -83, 27, -27, 3, 81, 76]
  Compare 81 and 76
  Swap 81 and 76
  List after swap: [-88, -35, 63, -38, -83, 27, -27, 3, 76, 81]

Pass 2:
  Compare -88 and -35
  No swap needed
  Compare -35 and 63
  No swap needed
  Compare 63 and -38
  Swap 63 and -38
  List after swap: [-88, -35, -38, 63, -83, 27, -27, 3, 76, 81]
  Compare 63 and -83
  Swap 63 and -83
  List after swap: [-88, -35, -38, -83, 63, 27, -27, 3, 76, 81]
  Compare 63 and 27
  Swap 63 and 27
  List after swap: [-88, -35, -38, -83, 27, 63, -27, 3, 76, 81]
  Compare 63 and -27
  Swap 63 and -27
  List after swap: [-88, -35, -38, -83, 27, -27, 63, 3, 76, 81]
  Compare 63 and 3
  Swap 63 and 3
  List after swap: [-88, -35, -38, -83, 27, -27, 3, 63, 76, 81]
  Compare 63 and 76
  No swap needed

Pass 3:
  Compare -88 and -35
  No swap needed
  Compare -35 and -38
  Swap -35 and -38
  List after swap: [-88, -38, -35, -83, 27, -27, 3, 63, 76, 81]
  Compare -35 and -83
  Swap -35 and -83
  List after swap: [-88, -38, -83, -35, 27, -27, 3, 63, 76, 81]
  Compare -35 and 27
  No swap needed
  Compare 27 and -27
  Swap 27 and -27
  List after swap: [-88, -38, -83, -35, -27, 27, 3, 63, 76, 81]
  Compare 27 and 3
  Swap 27 and 3
  List after swap: [-88, -38, -83, -35, -27, 3, 27, 63, 76, 81]
  Compare 27 and 63
  No swap needed

Pass 4:
  Compare -88 and -38
  No swap needed
  Compare -38 and -83
  Swap -38 and -83
  List after swap: [-88, -83, -38, -35, -27, 3, 27, 63, 76, 81]
  Compare -38 and -35
  No swap needed
  Compare -35 and -27
  No swap needed
  Compare -27 and 3
  No swap needed
  Compare 3 and 27
  No swap needed

Pass 5:
  Compare -88 and -83
  No swap needed
  Compare -83 and -38
  No swap needed
  Compare -38 and -35
  No swap needed
  Compare -35 and -27
  No swap needed
  Compare -27 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -83, -38, -35, -27, 3, 27, 63, 76, 81]
</think>

<response>-88, -83, -38, -35, -27, 3, 27, 63, 76, 81</response>


input: Sort the list 53, 86, 17, 31, -28 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [53, 86, 17, 31, -28]

Pass 1:
  Compare 53 and 86
  No swap needed
  Compare 86 and 17
  Swap 86 and 17
  List after swap: [53, 17, 86, 31, -28]
  Compare 86 and 31
  Swap 86 and 31
  List after swap: [53, 17, 31, 86, -28]
  Compare 86 and -28
  Swap 86 and -28
  List after swap: [53, 17, 31, -28, 86]

Pass 2:
  Compare 53 and 17
  Swap 53 and 17
  List after swap: [17, 53, 31, -28, 86]
  Compare 53 and 31
  Swap 53 and 31
  List after swap: [17, 31, 53, -28, 86]
  Compare 53 and -28
  Swap 53 and -28
  List after swap: [17, 31, -28, 53, 86]

Pass 3:
  Compare 17 and 31
  No swap needed
  Compare 31 and -28
  Swap 31 and -28
  List after swap: [17, -28, 31, 53, 86]

Pass 4:
  Compare 17 and -28
  Swap 17 and -28
  List after swap: [-28, 17, 31, 53, 86]

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

Final sorted list: [-28, 17, 31, 53, 86]
</think>

<response>-28, 17, 31, 53, 86</response>


input: Sort these integers 76, 13, 88, 34, 52, 49, 46, 35 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [76, 13, 88, 34, 52, 49, 46, 35]

Pass 1:
  Compare 76 and 13
  Swap 76 and 13
  List after swap: [13, 76, 88, 34, 52, 49, 46, 35]
  Compare 76 and 88
  No swap needed
  Compare 88 and 34
  Swap 88 and 34
  List after swap: [13, 76, 34, 88, 52, 49, 46, 35]
  Compare 88 and 52
  Swap 88 and 52
  List after swap: [13, 76, 34, 52, 88, 49, 46, 35]
  Compare 88 and 49
  Swap 88 and 49
  List after swap: [13, 76, 34, 52, 49, 88, 46, 35]
  Compare 88 and 46
  Swap 88 and 46
  List after swap: [13, 76, 34, 52, 49, 46, 88, 35]
  Compare 88 and 35
  Swap 88 and 35
  List after swap: [13, 76, 34, 52, 49, 46, 35, 88]

Pass 2:
  Compare 13 and 76
  No swap needed
  Compare 76 and 34
  Swap 76 and 34
  List after swap: [13, 34, 76, 52, 49, 46, 35, 88]
  Compare 76 and 52
  Swap 76 and 52
  List after swap: [13, 34, 52, 76, 49, 46, 35, 88]
  Compare 76 and 49
  Swap 76 and 49
  List after swap: [13, 34, 52, 49, 76, 46, 35, 88]
  Compare 76 and 46
  Swap 76 and 46
  List after swap: [13, 34, 52, 49, 46, 76, 35, 88]
  Compare 76 and 35
  Swap 76 and 35
  List after swap: [13, 34, 52, 49, 46, 35, 76, 88]

Pass 3:
  Compare 13 and 34
  No swap needed
  Compare 34 and 52
  No swap needed
  Compare 52 and 49
  Swap 52 and 49
  List after swap: [13, 34, 49, 52, 46, 35, 76, 88]
  Compare 52 and 46
  Swap 52 and 46
  List after swap: [13, 34, 49, 46, 52, 35, 76, 88]
  Compare 52 and 35
  Swap 52 and 35
  List after swap: [13, 34, 49, 46, 35, 52, 76, 88]

Pass 4:
  Compare 13 and 34
  No swap needed
  Compare 34 and 49
  No swap needed
  Compare 49 and 46
  Swap 49 and 46
  List after swap: [13, 34, 46, 49, 35, 52, 76, 88]
  Compare 49 and 35
  Swap 49 and 35
  List after swap: [13, 34, 46, 35, 49, 52, 76, 88]

Pass 5:
  Compare 13 and 34
  No swap needed
  Compare 34 and 46
  No swap needed
  Compare 46 and 35
  Swap 46 and 35
  List after swap: [13, 34, 35, 46, 49, 52, 76, 88]

Pass 6:
  Compare 13 and 34
  No swap needed
  Compare 34 and 35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [13, 34, 35, 46, 49, 52, 76, 88]
</think>

<response>13, 34, 35, 46, 49, 52, 76, 88</response>


input: Use the bubble sort technique to reorder -8, 34, -93, -46, 50, -20, -73 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-8, 34, -93, -46, 50, -20, -73]

Pass 1:
  Compare -8 and 34
  No swap needed
  Compare 34 and -93
  Swap 34 and -93
  List after swap: [-8, -93, 34, -46, 50, -20, -73]
  Compare 34 and -46
  Swap 34 and -46
  List after swap: [-8, -93, -46, 34, 50, -20, -73]
  Compare 34 and 50
  No swap needed
  Compare 50 and -20
  Swap 50 and -20
  List after swap: [-8, -93, -46, 34, -20, 50, -73]
  Compare 50 and -73
  Swap 50 and -73
  List after swap: [-8, -93, -46, 34, -20, -73, 50]

Pass 2:
  Compare -8 and -93
  Swap -8 and -93
  List after swap: [-93, -8, -46, 34, -20, -73, 50]
  Compare -8 and -46
  Swap -8 and -46
  List after swap: [-93, -46, -8, 34, -20, -73, 50]
  Compare -8 and 34
  No swap needed
  Compare 34 and -20
  Swap 34 and -20
  List after swap: [-93, -46, -8, -20, 34, -73, 50]
  Compare 34 and -73
  Swap 34 and -73
  List after swap: [-93, -46, -8, -20, -73, 34, 50]

Pass 3:
  Compare -93 and -46
  No swap needed
  Compare -46 and -8
  No swap needed
  Compare -8 and -20
  Swap -8 and -20
  List after swap: [-93, -46, -20, -8, -73, 34, 50]
  Compare -8 and -73
  Swap -8 and -73
  List after swap: [-93, -46, -20, -73, -8, 34, 50]

Pass 4:
  Compare -93 and -46
  No swap needed
  Compare -46 and -20
  No swap needed
  Compare -20 and -73
  Swap -20 and -73
  List after swap: [-93, -46, -73, -20, -8, 34, 50]

Pass 5:
  Compare -93 and -46
  No swap needed
  Compare -46 and -73
  Swap -46 and -73
  List after swap: [-93, -73, -46, -20, -8, 34, 50]

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

Final sorted list: [-93, -73, -46, -20, -8, 34, 50]
</think>

<response>-93, -73, -46, -20, -8, 34, 50</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -53, 65, -6, 0, 21, -99, 19.

output:
<think>
Initial list: [-53, 65, -6, 0, 21, -99, 19]

Pass 1:
  Compare -53 and 65
  No swap needed
  Compare 65 and -6
  Swap 65 and -6
  List after swap: [-53, -6, 65, 0, 21, -99, 19]
  Compare 65 and 0
  Swap 65 and 0
  List after swap: [-53, -6, 0, 65, 21, -99, 19]
  Compare 65 and 21
  Swap 65 and 21
  List after swap: [-53, -6, 0, 21, 65, -99, 19]
  Compare 65 and -99
  Swap 65 and -99
  List after swap: [-53, -6, 0, 21, -99, 65, 19]
  Compare 65 and 19
  Swap 65 and 19
  List after swap: [-53, -6, 0, 21, -99, 19, 65]

Pass 2:
  Compare -53 and -6
  No swap needed
  Compare -6 and 0
  No swap needed
  Compare 0 and 21
  No swap needed
  Compare 21 and -99
  Swap 21 and -99
  List after swap: [-53, -6, 0, -99, 21, 19, 65]
  Compare 21 and 19
  Swap 21 and 19
  List after swap: [-53, -6, 0, -99, 19, 21, 65]

Pass 3:
  Compare -53 and -6
  No swap needed
  Compare -6 and 0
  No swap needed
  Compare 0 and -99
  Swap 0 and -99
  List after swap: [-53, -6, -99, 0, 19, 21, 65]
  Compare 0 and 19
  No swap needed

Pass 4:
  Compare -53 and -6
  No swap needed
  Compare -6 and -99
  Swap -6 and -99
  List after swap: [-53, -99, -6, 0, 19, 21, 65]
  Compare -6 and 0
  No swap needed

Pass 5:
  Compare -53 and -99
  Swap -53 and -99
  List after swap: [-99, -53, -6, 0, 19, 21, 65]
  Compare -53 and -6
  No swap needed

Pass 6:
  Compare -99 and -53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -53, -6, 0, 19, 21, 65]
</think>

<response>-99, -53, -6, 0, 19, 21, 65</response>


input: Demonstrate how bubble sort orders the integers -91, -7 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-91, -7]

Pass 1:
  Compare -91 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -7]
</think>

<response>-91, -7</response>


input: Perform a bubble sort on the integers -65, 9, -59, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-65, 9, -59]

Pass 1:
  Compare -65 and 9
  No swap needed
  Compare 9 and -59
  Swap 9 and -59
  List after swap: [-65, -59, 9]

Pass 2:
  Compare -65 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -59, 9]
</think>

<response>-65, -59, 9</response>


input: Arrange the numbers 58, 57 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [58, 57]

Pass 1:
  Compare 58 and 57
  Swap 58 and 57
  List after swap: [57, 58]

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

Final sorted list: [57, 58]
</think>

<response>57, 58</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -1, -8, 22, 3.

output:
<think>
Initial list: [-1, -8, 22, 3]

Pass 1:
  Compare -1 and -8
  Swap -1 and -8
  List after swap: [-8, -1, 22, 3]
  Compare -1 and 22
  No swap needed
  Compare 22 and 3
  Swap 22 and 3
  List after swap: [-8, -1, 3, 22]

Pass 2:
  Compare -8 and -1
  No swap needed
  Compare -1 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-8, -1, 3, 22]
</think>

<response>-8, -1, 3, 22</response>


input: Implement bubble sort on 74, -94 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [74, -94]

Pass 1:
  Compare 74 and -94
  Swap 74 and -94
  List after swap: [-94, 74]

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

Final sorted list: [-94, 74]
</think>

<response>-94, 74</response>


input: Arrange the numbers -93, 71, -49, -4, -27, -98 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-93, 71, -49, -4, -27, -98]

Pass 1:
  Compare -93 and 71
  No swap needed
  Compare 71 and -49
  Swap 71 and -49
  List after swap: [-93, -49, 71, -4, -27, -98]
  Compare 71 and -4
  Swap 71 and -4
  List after swap: [-93, -49, -4, 71, -27, -98]
  Compare 71 and -27
  Swap 71 and -27
  List after swap: [-93, -49, -4, -27, 71, -98]
  Compare 71 and -98
  Swap 71 and -98
  List after swap: [-93, -49, -4, -27, -98, 71]

Pass 2:
  Compare -93 and -49
  No swap needed
  Compare -49 and -4
  No swap needed
  Compare -4 and -27
  Swap -4 and -27
  List after swap: [-93, -49, -27, -4, -98, 71]
  Compare -4 and -98
  Swap -4 and -98
  List after swap: [-93, -49, -27, -98, -4, 71]

Pass 3:
  Compare -93 and -49
  No swap needed
  Compare -49 and -27
  No swap needed
  Compare -27 and -98
  Swap -27 and -98
  List after swap: [-93, -49, -98, -27, -4, 71]

Pass 4:
  Compare -93 and -49
  No swap needed
  Compare -49 and -98
  Swap -49 and -98
  List after swap: [-93, -98, -49, -27, -4, 71]

Pass 5:
  Compare -93 and -98
  Swap -93 and -98
  List after swap: [-98, -93, -49, -27, -4, 71]

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

Final sorted list: [-98, -93, -49, -27, -4, 71]
</think>

<response>-98, -93, -49, -27, -4, 71</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 29, -50, 41, -77, 68, 1, 0, 92, -9, 99.

output:
<think>
Initial list: [29, -50, 41, -77, 68, 1, 0, 92, -9, 99]

Pass 1:
  Compare 29 and -50
  Swap 29 and -50
  List after swap: [-50, 29, 41, -77, 68, 1, 0, 92, -9, 99]
  Compare 29 and 41
  No swap needed
  Compare 41 and -77
  Swap 41 and -77
  List after swap: [-50, 29, -77, 41, 68, 1, 0, 92, -9, 99]
  Compare 41 and 68
  No swap needed
  Compare 68 and 1
  Swap 68 and 1
  List after swap: [-50, 29, -77, 41, 1, 68, 0, 92, -9, 99]
  Compare 68 and 0
  Swap 68 and 0
  List after swap: [-50, 29, -77, 41, 1, 0, 68, 92, -9, 99]
  Compare 68 and 92
  No swap needed
  Compare 92 and -9
  Swap 92 and -9
  List after swap: [-50, 29, -77, 41, 1, 0, 68, -9, 92, 99]
  Compare 92 and 99
  No swap needed

Pass 2:
  Compare -50 and 29
  No swap needed
  Compare 29 and -77
  Swap 29 and -77
  List after swap: [-50, -77, 29, 41, 1, 0, 68, -9, 92, 99]
  Compare 29 and 41
  No swap needed
  Compare 41 and 1
  Swap 41 and 1
  List after swap: [-50, -77, 29, 1, 41, 0, 68, -9, 92, 99]
  Compare 41 and 0
  Swap 41 and 0
  List after swap: [-50, -77, 29, 1, 0, 41, 68, -9, 92, 99]
  Compare 41 and 68
  No swap needed
  Compare 68 and -9
  Swap 68 and -9
  List after swap: [-50, -77, 29, 1, 0, 41, -9, 68, 92, 99]
  Compare 68 and 92
  No swap needed

Pass 3:
  Compare -50 and -77
  Swap -50 and -77
  List after swap: [-77, -50, 29, 1, 0, 41, -9, 68, 92, 99]
  Compare -50 and 29
  No swap needed
  Compare 29 and 1
  Swap 29 and 1
  List after swap: [-77, -50, 1, 29, 0, 41, -9, 68, 92, 99]
  Compare 29 and 0
  Swap 29 and 0
  List after swap: [-77, -50, 1, 0, 29, 41, -9, 68, 92, 99]
  Compare 29 and 41
  No swap needed
  Compare 41 and -9
  Swap 41 and -9
  List after swap: [-77, -50, 1, 0, 29, -9, 41, 68, 92, 99]
  Compare 41 and 68
  No swap needed

Pass 4:
  Compare -77 and -50
  No swap needed
  Compare -50 and 1
  No swap needed
  Compare 1 and 0
  Swap 1 and 0
  List after swap: [-77, -50, 0, 1, 29, -9, 41, 68, 92, 99]
  Compare 1 and 29
  No swap needed
  Compare 29 and -9
  Swap 29 and -9
  List after swap: [-77, -50, 0, 1, -9, 29, 41, 68, 92, 99]
  Compare 29 and 41
  No swap needed

Pass 5:
  Compare -77 and -50
  No swap needed
  Compare -50 and 0
  No swap needed
  Compare 0 and 1
  No swap needed
  Compare 1 and -9
  Swap 1 and -9
  List after swap: [-77, -50, 0, -9, 1, 29, 41, 68, 92, 99]
  Compare 1 and 29
  No swap needed

Pass 6:
  Compare -77 and -50
  No swap needed
  Compare -50 and 0
  No swap needed
  Compare 0 and -9
  Swap 0 and -9
  List after swap: [-77, -50, -9, 0, 1, 29, 41, 68, 92, 99]
  Compare 0 and 1
  No swap needed

Pass 7:
  Compare -77 and -50
  No swap needed
  Compare -50 and -9
  No swap needed
  Compare -9 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -50, -9, 0, 1, 29, 41, 68, 92, 99]
</think>

<response>-77, -50, -9, 0, 1, 29, 41, 68, 92, 99</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -23, -52, 3, 12, 84, 81, 69, 17, -10.

output:
<think>
Initial list: [-23, -52, 3, 12, 84, 81, 69, 17, -10]

Pass 1:
  Compare -23 and -52
  Swap -23 and -52
  List after swap: [-52, -23, 3, 12, 84, 81, 69, 17, -10]
  Compare -23 and 3
  No swap needed
  Compare 3 and 12
  No swap needed
  Compare 12 and 84
  No swap needed
  Compare 84 and 81
  Swap 84 and 81
  List after swap: [-52, -23, 3, 12, 81, 84, 69, 17, -10]
  Compare 84 and 69
  Swap 84 and 69
  List after swap: [-52, -23, 3, 12, 81, 69, 84, 17, -10]
  Compare 84 and 17
  Swap 84 and 17
  List after swap: [-52, -23, 3, 12, 81, 69, 17, 84, -10]
  Compare 84 and -10
  Swap 84 and -10
  List after swap: [-52, -23, 3, 12, 81, 69, 17, -10, 84]

Pass 2:
  Compare -52 and -23
  No swap needed
  Compare -23 and 3
  No swap needed
  Compare 3 and 12
  No swap needed
  Compare 12 and 81
  No swap needed
  Compare 81 and 69
  Swap 81 and 69
  List after swap: [-52, -23, 3, 12, 69, 81, 17, -10, 84]
  Compare 81 and 17
  Swap 81 and 17
  List after swap: [-52, -23, 3, 12, 69, 17, 81, -10, 84]
  Compare 81 and -10
  Swap 81 and -10
  List after swap: [-52, -23, 3, 12, 69, 17, -10, 81, 84]

Pass 3:
  Compare -52 and -23
  No swap needed
  Compare -23 and 3
  No swap needed
  Compare 3 and 12
  No swap needed
  Compare 12 and 69
  No swap needed
  Compare 69 and 17
  Swap 69 and 17
  List after swap: [-52, -23, 3, 12, 17, 69, -10, 81, 84]
  Compare 69 and -10
  Swap 69 and -10
  List after swap: [-52, -23, 3, 12, 17, -10, 69, 81, 84]

Pass 4:
  Compare -52 and -23
  No swap needed
  Compare -23 and 3
  No swap needed
  Compare 3 and 12
  No swap needed
  Compare 12 and 17
  No swap needed
  Compare 17 and -10
  Swap 17 and -10
  List after swap: [-52, -23, 3, 12, -10, 17, 69, 81, 84]

Pass 5:
  Compare -52 and -23
  No swap needed
  Compare -23 and 3
  No swap needed
  Compare 3 and 12
  No swap needed
  Compare 12 and -10
  Swap 12 and -10
  List after swap: [-52, -23, 3, -10, 12, 17, 69, 81, 84]

Pass 6:
  Compare -52 and -23
  No swap needed
  Compare -23 and 3
  No swap needed
  Compare 3 and -10
  Swap 3 and -10
  List after swap: [-52, -23, -10, 3, 12, 17, 69, 81, 84]

Pass 7:
  Compare -52 and -23
  No swap needed
  Compare -23 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, -23, -10, 3, 12, 17, 69, 81, 84]
</think>

<response>-52, -23, -10, 3, 12, 17, 69, 81, 84</response>


input: Implement bubble sort on 36, 88, 11, -27, 1, 70, -67 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [36, 88, 11, -27, 1, 70, -67]

Pass 1:
  Compare 36 and 88
  No swap needed
  Compare 88 and 11
  Swap 88 and 11
  List after swap: [36, 11, 88, -27, 1, 70, -67]
  Compare 88 and -27
  Swap 88 and -27
  List after swap: [36, 11, -27, 88, 1, 70, -67]
  Compare 88 and 1
  Swap 88 and 1
  List after swap: [36, 11, -27, 1, 88, 70, -67]
  Compare 88 and 70
  Swap 88 and 70
  List after swap: [36, 11, -27, 1, 70, 88, -67]
  Compare 88 and -67
  Swap 88 and -67
  List after swap: [36, 11, -27, 1, 70, -67, 88]

Pass 2:
  Compare 36 and 11
  Swap 36 and 11
  List after swap: [11, 36, -27, 1, 70, -67, 88]
  Compare 36 and -27
  Swap 36 and -27
  List after swap: [11, -27, 36, 1, 70, -67, 88]
  Compare 36 and 1
  Swap 36 and 1
  List after swap: [11, -27, 1, 36, 70, -67, 88]
  Compare 36 and 70
  No swap needed
  Compare 70 and -67
  Swap 70 and -67
  List after swap: [11, -27, 1, 36, -67, 70, 88]

Pass 3:
  Compare 11 and -27
  Swap 11 and -27
  List after swap: [-27, 11, 1, 36, -67, 70, 88]
  Compare 11 and 1
  Swap 11 and 1
  List after swap: [-27, 1, 11, 36, -67, 70, 88]
  Compare 11 and 36
  No swap needed
  Compare 36 and -67
  Swap 36 and -67
  List after swap: [-27, 1, 11, -67, 36, 70, 88]

Pass 4:
  Compare -27 and 1
  No swap needed
  Compare 1 and 11
  No swap needed
  Compare 11 and -67
  Swap 11 and -67
  List after swap: [-27, 1, -67, 11, 36, 70, 88]

Pass 5:
  Compare -27 and 1
  No swap needed
  Compare 1 and -67
  Swap 1 and -67
  List after swap: [-27, -67, 1, 11, 36, 70, 88]

Pass 6:
  Compare -27 and -67
  Swap -27 and -67
  List after swap: [-67, -27, 1, 11, 36, 70, 88]

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

Final sorted list: [-67, -27, 1, 11, 36, 70, 88]
</think>

<response>-67, -27, 1, 11, 36, 70, 88</response>


input: Using the bubble sort method, sort 43, -80, -72, 62 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [43, -80, -72, 62]

Pass 1:
  Compare 43 and -80
  Swap 43 and -80
  List after swap: [-80, 43, -72, 62]
  Compare 43 and -72
  Swap 43 and -72
  List after swap: [-80, -72, 43, 62]
  Compare 43 and 62
  No swap needed

Pass 2:
  Compare -80 and -72
  No swap needed
  Compare -72 and 43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -72, 43, 62]
</think>

<response>-80, -72, 43, 62</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 36, 70, 94, -56.

output:
<think>
Initial list: [36, 70, 94, -56]

Pass 1:
  Compare 36 and 70
  No swap needed
  Compare 70 and 94
  No swap needed
  Compare 94 and -56
  Swap 94 and -56
  List after swap: [36, 70, -56, 94]

Pass 2:
  Compare 36 and 70
  No swap needed
  Compare 70 and -56
  Swap 70 and -56
  List after swap: [36, -56, 70, 94]

Pass 3:
  Compare 36 and -56
  Swap 36 and -56
  List after swap: [-56, 36, 70, 94]

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

Final sorted list: [-56, 36, 70, 94]
</think>

<response>-56, 36, 70, 94</response>


input: Demonstrate how bubble sort orders the integers 6, 55, -52, 41, -90, 52, 4, -34, -3, -99 in ascending sequence, showing all steps.

output:
<think>
Initial list: [6, 55, -52, 41, -90, 52, 4, -34, -3, -99]

Pass 1:
  Compare 6 and 55
  No swap needed
  Compare 55 and -52
  Swap 55 and -52
  List after swap: [6, -52, 55, 41, -90, 52, 4, -34, -3, -99]
  Compare 55 and 41
  Swap 55 and 41
  List after swap: [6, -52, 41, 55, -90, 52, 4, -34, -3, -99]
  Compare 55 and -90
  Swap 55 and -90
  List after swap: [6, -52, 41, -90, 55, 52, 4, -34, -3, -99]
  Compare 55 and 52
  Swap 55 and 52
  List after swap: [6, -52, 41, -90, 52, 55, 4, -34, -3, -99]
  Compare 55 and 4
  Swap 55 and 4
  List after swap: [6, -52, 41, -90, 52, 4, 55, -34, -3, -99]
  Compare 55 and -34
  Swap 55 and -34
  List after swap: [6, -52, 41, -90, 52, 4, -34, 55, -3, -99]
  Compare 55 and -3
  Swap 55 and -3
  List after swap: [6, -52, 41, -90, 52, 4, -34, -3, 55, -99]
  Compare 55 and -99
  Swap 55 and -99
  List after swap: [6, -52, 41, -90, 52, 4, -34, -3, -99, 55]

Pass 2:
  Compare 6 and -52
  Swap 6 and -52
  List after swap: [-52, 6, 41, -90, 52, 4, -34, -3, -99, 55]
  Compare 6 and 41
  No swap needed
  Compare 41 and -90
  Swap 41 and -90
  List after swap: [-52, 6, -90, 41, 52, 4, -34, -3, -99, 55]
  Compare 41 and 52
  No swap needed
  Compare 52 and 4
  Swap 52 and 4
  List after swap: [-52, 6, -90, 41, 4, 52, -34, -3, -99, 55]
  Compare 52 and -34
  Swap 52 and -34
  List after swap: [-52, 6, -90, 41, 4, -34, 52, -3, -99, 55]
  Compare 52 and -3
  Swap 52 and -3
  List after swap: [-52, 6, -90, 41, 4, -34, -3, 52, -99, 55]
  Compare 52 and -99
  Swap 52 and -99
  List after swap: [-52, 6, -90, 41, 4, -34, -3, -99, 52, 55]

Pass 3:
  Compare -52 and 6
  No swap needed
  Compare 6 and -90
  Swap 6 and -90
  List after swap: [-52, -90, 6, 41, 4, -34, -3, -99, 52, 55]
  Compare 6 and 41
  No swap needed
  Compare 41 and 4
  Swap 41 and 4
  List after swap: [-52, -90, 6, 4, 41, -34, -3, -99, 52, 55]
  Compare 41 and -34
  Swap 41 and -34
  List after swap: [-52, -90, 6, 4, -34, 41, -3, -99, 52, 55]
  Compare 41 and -3
  Swap 41 and -3
  List after swap: [-52, -90, 6, 4, -34, -3, 41, -99, 52, 55]
  Compare 41 and -99
  Swap 41 and -99
  List after swap: [-52, -90, 6, 4, -34, -3, -99, 41, 52, 55]

Pass 4:
  Compare -52 and -90
  Swap -52 and -90
  List after swap: [-90, -52, 6, 4, -34, -3, -99, 41, 52, 55]
  Compare -52 and 6
  No swap needed
  Compare 6 and 4
  Swap 6 and 4
  List after swap: [-90, -52, 4, 6, -34, -3, -99, 41, 52, 55]
  Compare 6 and -34
  Swap 6 and -34
  List after swap: [-90, -52, 4, -34, 6, -3, -99, 41, 52, 55]
  Compare 6 and -3
  Swap 6 and -3
  List after swap: [-90, -52, 4, -34, -3, 6, -99, 41, 52, 55]
  Compare 6 and -99
  Swap 6 and -99
  List after swap: [-90, -52, 4, -34, -3, -99, 6, 41, 52, 55]

Pass 5:
  Compare -90 and -52
  No swap needed
  Compare -52 and 4
  No swap needed
  Compare 4 and -34
  Swap 4 and -34
  List after swap: [-90, -52, -34, 4, -3, -99, 6, 41, 52, 55]
  Compare 4 and -3
  Swap 4 and -3
  List after swap: [-90, -52, -34, -3, 4, -99, 6, 41, 52, 55]
  Compare 4 and -99
  Swap 4 and -99
  List after swap: [-90, -52, -34, -3, -99, 4, 6, 41, 52, 55]

Pass 6:
  Compare -90 and -52
  No swap needed
  Compare -52 and -34
  No swap needed
  Compare -34 and -3
  No swap needed
  Compare -3 and -99
  Swap -3 and -99
  List after swap: [-90, -52, -34, -99, -3, 4, 6, 41, 52, 55]

Pass 7:
  Compare -90 and -52
  No swap needed
  Compare -52 and -34
  No swap needed
  Compare -34 and -99
  Swap -34 and -99
  List after swap: [-90, -52, -99, -34, -3, 4, 6, 41, 52, 55]

Pass 8:
  Compare -90 and -52
  No swap needed
  Compare -52 and -99
  Swap -52 and -99
  List after swap: [-90, -99, -52, -34, -3, 4, 6, 41, 52, 55]

Pass 9:
  Compare -90 and -99
  Swap -90 and -99
  List after swap: [-99, -90, -52, -34, -3, 4, 6, 41, 52, 55]

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

Final sorted list: [-99, -90, -52, -34, -3, 4, 6, 41, 52, 55]
</think>

<response>-99, -90, -52, -34, -3, 4, 6, 41, 52, 55</response>


input: Carry out the bubble sort algorithm on -16, 87, 50, -37, -83, -57, 48, 90, 47, 52 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-16, 87, 50, -37, -83, -57, 48, 90, 47, 52]

Pass 1:
  Compare -16 and 87
  No swap needed
  Compare 87 and 50
  Swap 87 and 50
  List after swap: [-16, 50, 87, -37, -83, -57, 48, 90, 47, 52]
  Compare 87 and -37
  Swap 87 and -37
  List after swap: [-16, 50, -37, 87, -83, -57, 48, 90, 47, 52]
  Compare 87 and -83
  Swap 87 and -83
  List after swap: [-16, 50, -37, -83, 87, -57, 48, 90, 47, 52]
  Compare 87 and -57
  Swap 87 and -57
  List after swap: [-16, 50, -37, -83, -57, 87, 48, 90, 47, 52]
  Compare 87 and 48
  Swap 87 and 48
  List after swap: [-16, 50, -37, -83, -57, 48, 87, 90, 47, 52]
  Compare 87 and 90
  No swap needed
  Compare 90 and 47
  Swap 90 and 47
  List after swap: [-16, 50, -37, -83, -57, 48, 87, 47, 90, 52]
  Compare 90 and 52
  Swap 90 and 52
  List after swap: [-16, 50, -37, -83, -57, 48, 87, 47, 52, 90]

Pass 2:
  Compare -16 and 50
  No swap needed
  Compare 50 and -37
  Swap 50 and -37
  List after swap: [-16, -37, 50, -83, -57, 48, 87, 47, 52, 90]
  Compare 50 and -83
  Swap 50 and -83
  List after swap: [-16, -37, -83, 50, -57, 48, 87, 47, 52, 90]
  Compare 50 and -57
  Swap 50 and -57
  List after swap: [-16, -37, -83, -57, 50, 48, 87, 47, 52, 90]
  Compare 50 and 48
  Swap 50 and 48
  List after swap: [-16, -37, -83, -57, 48, 50, 87, 47, 52, 90]
  Compare 50 and 87
  No swap needed
  Compare 87 and 47
  Swap 87 and 47
  List after swap: [-16, -37, -83, -57, 48, 50, 47, 87, 52, 90]
  Compare 87 and 52
  Swap 87 and 52
  List after swap: [-16, -37, -83, -57, 48, 50, 47, 52, 87, 90]

Pass 3:
  Compare -16 and -37
  Swap -16 and -37
  List after swap: [-37, -16, -83, -57, 48, 50, 47, 52, 87, 90]
  Compare -16 and -83
  Swap -16 and -83
  List after swap: [-37, -83, -16, -57, 48, 50, 47, 52, 87, 90]
  Compare -16 and -57
  Swap -16 and -57
  List after swap: [-37, -83, -57, -16, 48, 50, 47, 52, 87, 90]
  Compare -16 and 48
  No swap needed
  Compare 48 and 50
  No swap needed
  Compare 50 and 47
  Swap 50 and 47
  List after swap: [-37, -83, -57, -16, 48, 47, 50, 52, 87, 90]
  Compare 50 and 52
  No swap needed

Pass 4:
  Compare -37 and -83
  Swap -37 and -83
  List after swap: [-83, -37, -57, -16, 48, 47, 50, 52, 87, 90]
  Compare -37 and -57
  Swap -37 and -57
  List after swap: [-83, -57, -37, -16, 48, 47, 50, 52, 87, 90]
  Compare -37 and -16
  No swap needed
  Compare -16 and 48
  No swap needed
  Compare 48 and 47
  Swap 48 and 47
  List after swap: [-83, -57, -37, -16, 47, 48, 50, 52, 87, 90]
  Compare 48 and 50
  No swap needed

Pass 5:
  Compare -83 and -57
  No swap needed
  Compare -57 and -37
  No swap needed
  Compare -37 and -16
  No swap needed
  Compare -16 and 47
  No swap needed
  Compare 47 and 48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -57, -37, -16, 47, 48, 50, 52, 87, 90]
</think>

<response>-83, -57, -37, -16, 47, 48, 50, 52, 87, 90</response>


input: Use the bubble sort technique to reorder -6, 42, -68, -58 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-6, 42, -68, -58]

Pass 1:
  Compare -6 and 42
  No swap needed
  Compare 42 and -68
  Swap 42 and -68
  List after swap: [-6, -68, 42, -58]
  Compare 42 and -58
  Swap 42 and -58
  List after swap: [-6, -68, -58, 42]

Pass 2:
  Compare -6 and -68
  Swap -6 and -68
  List after swap: [-68, -6, -58, 42]
  Compare -6 and -58
  Swap -6 and -58
  List after swap: [-68, -58, -6, 42]

Pass 3:
  Compare -68 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -58, -6, 42]
</think>

<response>-68, -58, -6, 42</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 95, 64, 34, -53, -84.

output:
<think>
Initial list: [95, 64, 34, -53, -84]

Pass 1:
  Compare 95 and 64
  Swap 95 and 64
  List after swap: [64, 95, 34, -53, -84]
  Compare 95 and 34
  Swap 95 and 34
  List after swap: [64, 34, 95, -53, -84]
  Compare 95 and -53
  Swap 95 and -53
  List after swap: [64, 34, -53, 95, -84]
  Compare 95 and -84
  Swap 95 and -84
  List after swap: [64, 34, -53, -84, 95]

Pass 2:
  Compare 64 and 34
  Swap 64 and 34
  List after swap: [34, 64, -53, -84, 95]
  Compare 64 and -53
  Swap 64 and -53
  List after swap: [34, -53, 64, -84, 95]
  Compare 64 and -84
  Swap 64 and -84
  List after swap: [34, -53, -84, 64, 95]

Pass 3:
  Compare 34 and -53
  Swap 34 and -53
  List after swap: [-53, 34, -84, 64, 95]
  Compare 34 and -84
  Swap 34 and -84
  List after swap: [-53, -84, 34, 64, 95]

Pass 4:
  Compare -53 and -84
  Swap -53 and -84
  List after swap: [-84, -53, 34, 64, 95]

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

Final sorted list: [-84, -53, 34, 64, 95]
</think>

<response>-84, -53, 34, 64, 95</response>


input: Sort these integers -72, -34 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-72, -34]

Pass 1:
  Compare -72 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -34]
</think>

<response>-72, -34</response>


input: Use the bubble sort technique to reorder 73, 42, -7 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [73, 42, -7]

Pass 1:
  Compare 73 and 42
  Swap 73 and 42
  List after swap: [42, 73, -7]
  Compare 73 and -7
  Swap 73 and -7
  List after swap: [42, -7, 73]

Pass 2:
  Compare 42 and -7
  Swap 42 and -7
  List after swap: [-7, 42, 73]

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

Final sorted list: [-7, 42, 73]
</think>

<response>-7, 42, 73</response>


input: Carry out the bubble sort algorithm on -87, 81, 43, -47, -32, -73, -76, 69, 76, 57 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-87, 81, 43, -47, -32, -73, -76, 69, 76, 57]

Pass 1:
  Compare -87 and 81
  No swap needed
  Compare 81 and 43
  Swap 81 and 43
  List after swap: [-87, 43, 81, -47, -32, -73, -76, 69, 76, 57]
  Compare 81 and -47
  Swap 81 and -47
  List after swap: [-87, 43, -47, 81, -32, -73, -76, 69, 76, 57]
  Compare 81 and -32
  Swap 81 and -32
  List after swap: [-87, 43, -47, -32, 81, -73, -76, 69, 76, 57]
  Compare 81 and -73
  Swap 81 and -73
  List after swap: [-87, 43, -47, -32, -73, 81, -76, 69, 76, 57]
  Compare 81 and -76
  Swap 81 and -76
  List after swap: [-87, 43, -47, -32, -73, -76, 81, 69, 76, 57]
  Compare 81 and 69
  Swap 81 and 69
  List after swap: [-87, 43, -47, -32, -73, -76, 69, 81, 76, 57]
  Compare 81 and 76
  Swap 81 and 76
  List after swap: [-87, 43, -47, -32, -73, -76, 69, 76, 81, 57]
  Compare 81 and 57
  Swap 81 and 57
  List after swap: [-87, 43, -47, -32, -73, -76, 69, 76, 57, 81]

Pass 2:
  Compare -87 and 43
  No swap needed
  Compare 43 and -47
  Swap 43 and -47
  List after swap: [-87, -47, 43, -32, -73, -76, 69, 76, 57, 81]
  Compare 43 and -32
  Swap 43 and -32
  List after swap: [-87, -47, -32, 43, -73, -76, 69, 76, 57, 81]
  Compare 43 and -73
  Swap 43 and -73
  List after swap: [-87, -47, -32, -73, 43, -76, 69, 76, 57, 81]
  Compare 43 and -76
  Swap 43 and -76
  List after swap: [-87, -47, -32, -73, -76, 43, 69, 76, 57, 81]
  Compare 43 and 69
  No swap needed
  Compare 69 and 76
  No swap needed
  Compare 76 and 57
  Swap 76 and 57
  List after swap: [-87, -47, -32, -73, -76, 43, 69, 57, 76, 81]

Pass 3:
  Compare -87 and -47
  No swap needed
  Compare -47 and -32
  No swap needed
  Compare -32 and -73
  Swap -32 and -73
  List after swap: [-87, -47, -73, -32, -76, 43, 69, 57, 76, 81]
  Compare -32 and -76
  Swap -32 and -76
  List after swap: [-87, -47, -73, -76, -32, 43, 69, 57, 76, 81]
  Compare -32 and 43
  No swap needed
  Compare 43 and 69
  No swap needed
  Compare 69 and 57
  Swap 69 and 57
  List after swap: [-87, -47, -73, -76, -32, 43, 57, 69, 76, 81]

Pass 4:
  Compare -87 and -47
  No swap needed
  Compare -47 and -73
  Swap -47 and -73
  List after swap: [-87, -73, -47, -76, -32, 43, 57, 69, 76, 81]
  Compare -47 and -76
  Swap -47 and -76
  List after swap: [-87, -73, -76, -47, -32, 43, 57, 69, 76, 81]
  Compare -47 and -32
  No swap needed
  Compare -32 and 43
  No swap needed
  Compare 43 and 57
  No swap needed

Pass 5:
  Compare -87 and -73
  No swap needed
  Compare -73 and -76
  Swap -73 and -76
  List after swap: [-87, -76, -73, -47, -32, 43, 57, 69, 76, 81]
  Compare -73 and -47
  No swap needed
  Compare -47 and -32
  No swap needed
  Compare -32 and 43
  No swap needed

Pass 6:
  Compare -87 and -76
  No swap needed
  Compare -76 and -73
  No swap needed
  Compare -73 and -47
  No swap needed
  Compare -47 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -76, -73, -47, -32, 43, 57, 69, 76, 81]
</think>

<response>-87, -76, -73, -47, -32, 43, 57, 69, 76, 81</response>