input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -7, 33, -29, 26, 34, -56, 75, -93, -65, -9.

output:
<think>
Initial list: [-7, 33, -29, 26, 34, -56, 75, -93, -65, -9]

Pass 1:
  Compare -7 and 33
  No swap needed
  Compare 33 and -29
  Swap 33 and -29
  List after swap: [-7, -29, 33, 26, 34, -56, 75, -93, -65, -9]
  Compare 33 and 26
  Swap 33 and 26
  List after swap: [-7, -29, 26, 33, 34, -56, 75, -93, -65, -9]
  Compare 33 and 34
  No swap needed
  Compare 34 and -56
  Swap 34 and -56
  List after swap: [-7, -29, 26, 33, -56, 34, 75, -93, -65, -9]
  Compare 34 and 75
  No swap needed
  Compare 75 and -93
  Swap 75 and -93
  List after swap: [-7, -29, 26, 33, -56, 34, -93, 75, -65, -9]
  Compare 75 and -65
  Swap 75 and -65
  List after swap: [-7, -29, 26, 33, -56, 34, -93, -65, 75, -9]
  Compare 75 and -9
  Swap 75 and -9
  List after swap: [-7, -29, 26, 33, -56, 34, -93, -65, -9, 75]

Pass 2:
  Compare -7 and -29
  Swap -7 and -29
  List after swap: [-29, -7, 26, 33, -56, 34, -93, -65, -9, 75]
  Compare -7 and 26
  No swap needed
  Compare 26 and 33
  No swap needed
  Compare 33 and -56
  Swap 33 and -56
  List after swap: [-29, -7, 26, -56, 33, 34, -93, -65, -9, 75]
  Compare 33 and 34
  No swap needed
  Compare 34 and -93
  Swap 34 and -93
  List after swap: [-29, -7, 26, -56, 33, -93, 34, -65, -9, 75]
  Compare 34 and -65
  Swap 34 and -65
  List after swap: [-29, -7, 26, -56, 33, -93, -65, 34, -9, 75]
  Compare 34 and -9
  Swap 34 and -9
  List after swap: [-29, -7, 26, -56, 33, -93, -65, -9, 34, 75]

Pass 3:
  Compare -29 and -7
  No swap needed
  Compare -7 and 26
  No swap needed
  Compare 26 and -56
  Swap 26 and -56
  List after swap: [-29, -7, -56, 26, 33, -93, -65, -9, 34, 75]
  Compare 26 and 33
  No swap needed
  Compare 33 and -93
  Swap 33 and -93
  List after swap: [-29, -7, -56, 26, -93, 33, -65, -9, 34, 75]
  Compare 33 and -65
  Swap 33 and -65
  List after swap: [-29, -7, -56, 26, -93, -65, 33, -9, 34, 75]
  Compare 33 and -9
  Swap 33 and -9
  List after swap: [-29, -7, -56, 26, -93, -65, -9, 33, 34, 75]

Pass 4:
  Compare -29 and -7
  No swap needed
  Compare -7 and -56
  Swap -7 and -56
  List after swap: [-29, -56, -7, 26, -93, -65, -9, 33, 34, 75]
  Compare -7 and 26
  No swap needed
  Compare 26 and -93
  Swap 26 and -93
  List after swap: [-29, -56, -7, -93, 26, -65, -9, 33, 34, 75]
  Compare 26 and -65
  Swap 26 and -65
  List after swap: [-29, -56, -7, -93, -65, 26, -9, 33, 34, 75]
  Compare 26 and -9
  Swap 26 and -9
  List after swap: [-29, -56, -7, -93, -65, -9, 26, 33, 34, 75]

Pass 5:
  Compare -29 and -56
  Swap -29 and -56
  List after swap: [-56, -29, -7, -93, -65, -9, 26, 33, 34, 75]
  Compare -29 and -7
  No swap needed
  Compare -7 and -93
  Swap -7 and -93
  List after swap: [-56, -29, -93, -7, -65, -9, 26, 33, 34, 75]
  Compare -7 and -65
  Swap -7 and -65
  List after swap: [-56, -29, -93, -65, -7, -9, 26, 33, 34, 75]
  Compare -7 and -9
  Swap -7 and -9
  List after swap: [-56, -29, -93, -65, -9, -7, 26, 33, 34, 75]

Pass 6:
  Compare -56 and -29
  No swap needed
  Compare -29 and -93
  Swap -29 and -93
  List after swap: [-56, -93, -29, -65, -9, -7, 26, 33, 34, 75]
  Compare -29 and -65
  Swap -29 and -65
  List after swap: [-56, -93, -65, -29, -9, -7, 26, 33, 34, 75]
  Compare -29 and -9
  No swap needed

Pass 7:
  Compare -56 and -93
  Swap -56 and -93
  List after swap: [-93, -56, -65, -29, -9, -7, 26, 33, 34, 75]
  Compare -56 and -65
  Swap -56 and -65
  List after swap: [-93, -65, -56, -29, -9, -7, 26, 33, 34, 75]
  Compare -56 and -29
  No swap needed

Pass 8:
  Compare -93 and -65
  No swap needed
  Compare -65 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -65, -56, -29, -9, -7, 26, 33, 34, 75]
</think>

<response>-93, -65, -56, -29, -9, -7, 26, 33, 34, 75</response>


input: Execute bubble sort to sort 36, 21, 62, -19, 67, 37, 83, -90, -93 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [36, 21, 62, -19, 67, 37, 83, -90, -93]

Pass 1:
  Compare 36 and 21
  Swap 36 and 21
  List after swap: [21, 36, 62, -19, 67, 37, 83, -90, -93]
  Compare 36 and 62
  No swap needed
  Compare 62 and -19
  Swap 62 and -19
  List after swap: [21, 36, -19, 62, 67, 37, 83, -90, -93]
  Compare 62 and 67
  No swap needed
  Compare 67 and 37
  Swap 67 and 37
  List after swap: [21, 36, -19, 62, 37, 67, 83, -90, -93]
  Compare 67 and 83
  No swap needed
  Compare 83 and -90
  Swap 83 and -90
  List after swap: [21, 36, -19, 62, 37, 67, -90, 83, -93]
  Compare 83 and -93
  Swap 83 and -93
  List after swap: [21, 36, -19, 62, 37, 67, -90, -93, 83]

Pass 2:
  Compare 21 and 36
  No swap needed
  Compare 36 and -19
  Swap 36 and -19
  List after swap: [21, -19, 36, 62, 37, 67, -90, -93, 83]
  Compare 36 and 62
  No swap needed
  Compare 62 and 37
  Swap 62 and 37
  List after swap: [21, -19, 36, 37, 62, 67, -90, -93, 83]
  Compare 62 and 67
  No swap needed
  Compare 67 and -90
  Swap 67 and -90
  List after swap: [21, -19, 36, 37, 62, -90, 67, -93, 83]
  Compare 67 and -93
  Swap 67 and -93
  List after swap: [21, -19, 36, 37, 62, -90, -93, 67, 83]

Pass 3:
  Compare 21 and -19
  Swap 21 and -19
  List after swap: [-19, 21, 36, 37, 62, -90, -93, 67, 83]
  Compare 21 and 36
  No swap needed
  Compare 36 and 37
  No swap needed
  Compare 37 and 62
  No swap needed
  Compare 62 and -90
  Swap 62 and -90
  List after swap: [-19, 21, 36, 37, -90, 62, -93, 67, 83]
  Compare 62 and -93
  Swap 62 and -93
  List after swap: [-19, 21, 36, 37, -90, -93, 62, 67, 83]

Pass 4:
  Compare -19 and 21
  No swap needed
  Compare 21 and 36
  No swap needed
  Compare 36 and 37
  No swap needed
  Compare 37 and -90
  Swap 37 and -90
  List after swap: [-19, 21, 36, -90, 37, -93, 62, 67, 83]
  Compare 37 and -93
  Swap 37 and -93
  List after swap: [-19, 21, 36, -90, -93, 37, 62, 67, 83]

Pass 5:
  Compare -19 and 21
  No swap needed
  Compare 21 and 36
  No swap needed
  Compare 36 and -90
  Swap 36 and -90
  List after swap: [-19, 21, -90, 36, -93, 37, 62, 67, 83]
  Compare 36 and -93
  Swap 36 and -93
  List after swap: [-19, 21, -90, -93, 36, 37, 62, 67, 83]

Pass 6:
  Compare -19 and 21
  No swap needed
  Compare 21 and -90
  Swap 21 and -90
  List after swap: [-19, -90, 21, -93, 36, 37, 62, 67, 83]
  Compare 21 and -93
  Swap 21 and -93
  List after swap: [-19, -90, -93, 21, 36, 37, 62, 67, 83]

Pass 7:
  Compare -19 and -90
  Swap -19 and -90
  List after swap: [-90, -19, -93, 21, 36, 37, 62, 67, 83]
  Compare -19 and -93
  Swap -19 and -93
  List after swap: [-90, -93, -19, 21, 36, 37, 62, 67, 83]

Pass 8:
  Compare -90 and -93
  Swap -90 and -93
  List after swap: [-93, -90, -19, 21, 36, 37, 62, 67, 83]

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

Final sorted list: [-93, -90, -19, 21, 36, 37, 62, 67, 83]
</think>

<response>-93, -90, -19, 21, 36, 37, 62, 67, 83</response>


input: Use the bubble sort technique to reorder -99, 44, 14 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-99, 44, 14]

Pass 1:
  Compare -99 and 44
  No swap needed
  Compare 44 and 14
  Swap 44 and 14
  List after swap: [-99, 14, 44]

Pass 2:
  Compare -99 and 14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, 14, 44]
</think>

<response>-99, 14, 44</response>


input: Sort these integers 80, -39, -83, -43, 60, 78, -62 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [80, -39, -83, -43, 60, 78, -62]

Pass 1:
  Compare 80 and -39
  Swap 80 and -39
  List after swap: [-39, 80, -83, -43, 60, 78, -62]
  Compare 80 and -83
  Swap 80 and -83
  List after swap: [-39, -83, 80, -43, 60, 78, -62]
  Compare 80 and -43
  Swap 80 and -43
  List after swap: [-39, -83, -43, 80, 60, 78, -62]
  Compare 80 and 60
  Swap 80 and 60
  List after swap: [-39, -83, -43, 60, 80, 78, -62]
  Compare 80 and 78
  Swap 80 and 78
  List after swap: [-39, -83, -43, 60, 78, 80, -62]
  Compare 80 and -62
  Swap 80 and -62
  List after swap: [-39, -83, -43, 60, 78, -62, 80]

Pass 2:
  Compare -39 and -83
  Swap -39 and -83
  List after swap: [-83, -39, -43, 60, 78, -62, 80]
  Compare -39 and -43
  Swap -39 and -43
  List after swap: [-83, -43, -39, 60, 78, -62, 80]
  Compare -39 and 60
  No swap needed
  Compare 60 and 78
  No swap needed
  Compare 78 and -62
  Swap 78 and -62
  List after swap: [-83, -43, -39, 60, -62, 78, 80]

Pass 3:
  Compare -83 and -43
  No swap needed
  Compare -43 and -39
  No swap needed
  Compare -39 and 60
  No swap needed
  Compare 60 and -62
  Swap 60 and -62
  List after swap: [-83, -43, -39, -62, 60, 78, 80]

Pass 4:
  Compare -83 and -43
  No swap needed
  Compare -43 and -39
  No swap needed
  Compare -39 and -62
  Swap -39 and -62
  List after swap: [-83, -43, -62, -39, 60, 78, 80]

Pass 5:
  Compare -83 and -43
  No swap needed
  Compare -43 and -62
  Swap -43 and -62
  List after swap: [-83, -62, -43, -39, 60, 78, 80]

Pass 6:
  Compare -83 and -62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -62, -43, -39, 60, 78, 80]
</think>

<response>-83, -62, -43, -39, 60, 78, 80</response>


input: Implement bubble sort on 98, 57, -9, 54, 3, 14, 20 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [98, 57, -9, 54, 3, 14, 20]

Pass 1:
  Compare 98 and 57
  Swap 98 and 57
  List after swap: [57, 98, -9, 54, 3, 14, 20]
  Compare 98 and -9
  Swap 98 and -9
  List after swap: [57, -9, 98, 54, 3, 14, 20]
  Compare 98 and 54
  Swap 98 and 54
  List after swap: [57, -9, 54, 98, 3, 14, 20]
  Compare 98 and 3
  Swap 98 and 3
  List after swap: [57, -9, 54, 3, 98, 14, 20]
  Compare 98 and 14
  Swap 98 and 14
  List after swap: [57, -9, 54, 3, 14, 98, 20]
  Compare 98 and 20
  Swap 98 and 20
  List after swap: [57, -9, 54, 3, 14, 20, 98]

Pass 2:
  Compare 57 and -9
  Swap 57 and -9
  List after swap: [-9, 57, 54, 3, 14, 20, 98]
  Compare 57 and 54
  Swap 57 and 54
  List after swap: [-9, 54, 57, 3, 14, 20, 98]
  Compare 57 and 3
  Swap 57 and 3
  List after swap: [-9, 54, 3, 57, 14, 20, 98]
  Compare 57 and 14
  Swap 57 and 14
  List after swap: [-9, 54, 3, 14, 57, 20, 98]
  Compare 57 and 20
  Swap 57 and 20
  List after swap: [-9, 54, 3, 14, 20, 57, 98]

Pass 3:
  Compare -9 and 54
  No swap needed
  Compare 54 and 3
  Swap 54 and 3
  List after swap: [-9, 3, 54, 14, 20, 57, 98]
  Compare 54 and 14
  Swap 54 and 14
  List after swap: [-9, 3, 14, 54, 20, 57, 98]
  Compare 54 and 20
  Swap 54 and 20
  List after swap: [-9, 3, 14, 20, 54, 57, 98]

Pass 4:
  Compare -9 and 3
  No swap needed
  Compare 3 and 14
  No swap needed
  Compare 14 and 20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-9, 3, 14, 20, 54, 57, 98]
</think>

<response>-9, 3, 14, 20, 54, 57, 98</response>


input: Sort the list 81, -62, 23, 40, -63, -3, -75, -97, 19, 67 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [81, -62, 23, 40, -63, -3, -75, -97, 19, 67]

Pass 1:
  Compare 81 and -62
  Swap 81 and -62
  List after swap: [-62, 81, 23, 40, -63, -3, -75, -97, 19, 67]
  Compare 81 and 23
  Swap 81 and 23
  List after swap: [-62, 23, 81, 40, -63, -3, -75, -97, 19, 67]
  Compare 81 and 40
  Swap 81 and 40
  List after swap: [-62, 23, 40, 81, -63, -3, -75, -97, 19, 67]
  Compare 81 and -63
  Swap 81 and -63
  List after swap: [-62, 23, 40, -63, 81, -3, -75, -97, 19, 67]
  Compare 81 and -3
  Swap 81 and -3
  List after swap: [-62, 23, 40, -63, -3, 81, -75, -97, 19, 67]
  Compare 81 and -75
  Swap 81 and -75
  List after swap: [-62, 23, 40, -63, -3, -75, 81, -97, 19, 67]
  Compare 81 and -97
  Swap 81 and -97
  List after swap: [-62, 23, 40, -63, -3, -75, -97, 81, 19, 67]
  Compare 81 and 19
  Swap 81 and 19
  List after swap: [-62, 23, 40, -63, -3, -75, -97, 19, 81, 67]
  Compare 81 and 67
  Swap 81 and 67
  List after swap: [-62, 23, 40, -63, -3, -75, -97, 19, 67, 81]

Pass 2:
  Compare -62 and 23
  No swap needed
  Compare 23 and 40
  No swap needed
  Compare 40 and -63
  Swap 40 and -63
  List after swap: [-62, 23, -63, 40, -3, -75, -97, 19, 67, 81]
  Compare 40 and -3
  Swap 40 and -3
  List after swap: [-62, 23, -63, -3, 40, -75, -97, 19, 67, 81]
  Compare 40 and -75
  Swap 40 and -75
  List after swap: [-62, 23, -63, -3, -75, 40, -97, 19, 67, 81]
  Compare 40 and -97
  Swap 40 and -97
  List after swap: [-62, 23, -63, -3, -75, -97, 40, 19, 67, 81]
  Compare 40 and 19
  Swap 40 and 19
  List after swap: [-62, 23, -63, -3, -75, -97, 19, 40, 67, 81]
  Compare 40 and 67
  No swap needed

Pass 3:
  Compare -62 and 23
  No swap needed
  Compare 23 and -63
  Swap 23 and -63
  List after swap: [-62, -63, 23, -3, -75, -97, 19, 40, 67, 81]
  Compare 23 and -3
  Swap 23 and -3
  List after swap: [-62, -63, -3, 23, -75, -97, 19, 40, 67, 81]
  Compare 23 and -75
  Swap 23 and -75
  List after swap: [-62, -63, -3, -75, 23, -97, 19, 40, 67, 81]
  Compare 23 and -97
  Swap 23 and -97
  List after swap: [-62, -63, -3, -75, -97, 23, 19, 40, 67, 81]
  Compare 23 and 19
  Swap 23 and 19
  List after swap: [-62, -63, -3, -75, -97, 19, 23, 40, 67, 81]
  Compare 23 and 40
  No swap needed

Pass 4:
  Compare -62 and -63
  Swap -62 and -63
  List after swap: [-63, -62, -3, -75, -97, 19, 23, 40, 67, 81]
  Compare -62 and -3
  No swap needed
  Compare -3 and -75
  Swap -3 and -75
  List after swap: [-63, -62, -75, -3, -97, 19, 23, 40, 67, 81]
  Compare -3 and -97
  Swap -3 and -97
  List after swap: [-63, -62, -75, -97, -3, 19, 23, 40, 67, 81]
  Compare -3 and 19
  No swap needed
  Compare 19 and 23
  No swap needed

Pass 5:
  Compare -63 and -62
  No swap needed
  Compare -62 and -75
  Swap -62 and -75
  List after swap: [-63, -75, -62, -97, -3, 19, 23, 40, 67, 81]
  Compare -62 and -97
  Swap -62 and -97
  List after swap: [-63, -75, -97, -62, -3, 19, 23, 40, 67, 81]
  Compare -62 and -3
  No swap needed
  Compare -3 and 19
  No swap needed

Pass 6:
  Compare -63 and -75
  Swap -63 and -75
  List after swap: [-75, -63, -97, -62, -3, 19, 23, 40, 67, 81]
  Compare -63 and -97
  Swap -63 and -97
  List after swap: [-75, -97, -63, -62, -3, 19, 23, 40, 67, 81]
  Compare -63 and -62
  No swap needed
  Compare -62 and -3
  No swap needed

Pass 7:
  Compare -75 and -97
  Swap -75 and -97
  List after swap: [-97, -75, -63, -62, -3, 19, 23, 40, 67, 81]
  Compare -75 and -63
  No swap needed
  Compare -63 and -62
  No swap needed

Pass 8:
  Compare -97 and -75
  No swap needed
  Compare -75 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -75, -63, -62, -3, 19, 23, 40, 67, 81]
</think>

<response>-97, -75, -63, -62, -3, 19, 23, 40, 67, 81</response>


input: Sort the list -58, 47, 1, -64, 44, 59 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-58, 47, 1, -64, 44, 59]

Pass 1:
  Compare -58 and 47
  No swap needed
  Compare 47 and 1
  Swap 47 and 1
  List after swap: [-58, 1, 47, -64, 44, 59]
  Compare 47 and -64
  Swap 47 and -64
  List after swap: [-58, 1, -64, 47, 44, 59]
  Compare 47 and 44
  Swap 47 and 44
  List after swap: [-58, 1, -64, 44, 47, 59]
  Compare 47 and 59
  No swap needed

Pass 2:
  Compare -58 and 1
  No swap needed
  Compare 1 and -64
  Swap 1 and -64
  List after swap: [-58, -64, 1, 44, 47, 59]
  Compare 1 and 44
  No swap needed
  Compare 44 and 47
  No swap needed

Pass 3:
  Compare -58 and -64
  Swap -58 and -64
  List after swap: [-64, -58, 1, 44, 47, 59]
  Compare -58 and 1
  No swap needed
  Compare 1 and 44
  No swap needed

Pass 4:
  Compare -64 and -58
  No swap needed
  Compare -58 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -58, 1, 44, 47, 59]
</think>

<response>-64, -58, 1, 44, 47, 59</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -76, -90, -15, 34, -67, 6, 89, 58, 47, 30.

output:
<think>
Initial list: [-76, -90, -15, 34, -67, 6, 89, 58, 47, 30]

Pass 1:
  Compare -76 and -90
  Swap -76 and -90
  List after swap: [-90, -76, -15, 34, -67, 6, 89, 58, 47, 30]
  Compare -76 and -15
  No swap needed
  Compare -15 and 34
  No swap needed
  Compare 34 and -67
  Swap 34 and -67
  List after swap: [-90, -76, -15, -67, 34, 6, 89, 58, 47, 30]
  Compare 34 and 6
  Swap 34 and 6
  List after swap: [-90, -76, -15, -67, 6, 34, 89, 58, 47, 30]
  Compare 34 and 89
  No swap needed
  Compare 89 and 58
  Swap 89 and 58
  List after swap: [-90, -76, -15, -67, 6, 34, 58, 89, 47, 30]
  Compare 89 and 47
  Swap 89 and 47
  List after swap: [-90, -76, -15, -67, 6, 34, 58, 47, 89, 30]
  Compare 89 and 30
  Swap 89 and 30
  List after swap: [-90, -76, -15, -67, 6, 34, 58, 47, 30, 89]

Pass 2:
  Compare -90 and -76
  No swap needed
  Compare -76 and -15
  No swap needed
  Compare -15 and -67
  Swap -15 and -67
  List after swap: [-90, -76, -67, -15, 6, 34, 58, 47, 30, 89]
  Compare -15 and 6
  No swap needed
  Compare 6 and 34
  No swap needed
  Compare 34 and 58
  No swap needed
  Compare 58 and 47
  Swap 58 and 47
  List after swap: [-90, -76, -67, -15, 6, 34, 47, 58, 30, 89]
  Compare 58 and 30
  Swap 58 and 30
  List after swap: [-90, -76, -67, -15, 6, 34, 47, 30, 58, 89]

Pass 3:
  Compare -90 and -76
  No swap needed
  Compare -76 and -67
  No swap needed
  Compare -67 and -15
  No swap needed
  Compare -15 and 6
  No swap needed
  Compare 6 and 34
  No swap needed
  Compare 34 and 47
  No swap needed
  Compare 47 and 30
  Swap 47 and 30
  List after swap: [-90, -76, -67, -15, 6, 34, 30, 47, 58, 89]

Pass 4:
  Compare -90 and -76
  No swap needed
  Compare -76 and -67
  No swap needed
  Compare -67 and -15
  No swap needed
  Compare -15 and 6
  No swap needed
  Compare 6 and 34
  No swap needed
  Compare 34 and 30
  Swap 34 and 30
  List after swap: [-90, -76, -67, -15, 6, 30, 34, 47, 58, 89]

Pass 5:
  Compare -90 and -76
  No swap needed
  Compare -76 and -67
  No swap needed
  Compare -67 and -15
  No swap needed
  Compare -15 and 6
  No swap needed
  Compare 6 and 30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -76, -67, -15, 6, 30, 34, 47, 58, 89]
</think>

<response>-90, -76, -67, -15, 6, 30, 34, 47, 58, 89</response>


input: Using the bubble sort method, sort -85, 62, -44, -9, 95, -70 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-85, 62, -44, -9, 95, -70]

Pass 1:
  Compare -85 and 62
  No swap needed
  Compare 62 and -44
  Swap 62 and -44
  List after swap: [-85, -44, 62, -9, 95, -70]
  Compare 62 and -9
  Swap 62 and -9
  List after swap: [-85, -44, -9, 62, 95, -70]
  Compare 62 and 95
  No swap needed
  Compare 95 and -70
  Swap 95 and -70
  List after swap: [-85, -44, -9, 62, -70, 95]

Pass 2:
  Compare -85 and -44
  No swap needed
  Compare -44 and -9
  No swap needed
  Compare -9 and 62
  No swap needed
  Compare 62 and -70
  Swap 62 and -70
  List after swap: [-85, -44, -9, -70, 62, 95]

Pass 3:
  Compare -85 and -44
  No swap needed
  Compare -44 and -9
  No swap needed
  Compare -9 and -70
  Swap -9 and -70
  List after swap: [-85, -44, -70, -9, 62, 95]

Pass 4:
  Compare -85 and -44
  No swap needed
  Compare -44 and -70
  Swap -44 and -70
  List after swap: [-85, -70, -44, -9, 62, 95]

Pass 5:
  Compare -85 and -70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -70, -44, -9, 62, 95]
</think>

<response>-85, -70, -44, -9, 62, 95</response>


input: Perform a bubble sort on the integers -3, -16, 72, -70, -51, 76, 80, 30, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-3, -16, 72, -70, -51, 76, 80, 30]

Pass 1:
  Compare -3 and -16
  Swap -3 and -16
  List after swap: [-16, -3, 72, -70, -51, 76, 80, 30]
  Compare -3 and 72
  No swap needed
  Compare 72 and -70
  Swap 72 and -70
  List after swap: [-16, -3, -70, 72, -51, 76, 80, 30]
  Compare 72 and -51
  Swap 72 and -51
  List after swap: [-16, -3, -70, -51, 72, 76, 80, 30]
  Compare 72 and 76
  No swap needed
  Compare 76 and 80
  No swap needed
  Compare 80 and 30
  Swap 80 and 30
  List after swap: [-16, -3, -70, -51, 72, 76, 30, 80]

Pass 2:
  Compare -16 and -3
  No swap needed
  Compare -3 and -70
  Swap -3 and -70
  List after swap: [-16, -70, -3, -51, 72, 76, 30, 80]
  Compare -3 and -51
  Swap -3 and -51
  List after swap: [-16, -70, -51, -3, 72, 76, 30, 80]
  Compare -3 and 72
  No swap needed
  Compare 72 and 76
  No swap needed
  Compare 76 and 30
  Swap 76 and 30
  List after swap: [-16, -70, -51, -3, 72, 30, 76, 80]

Pass 3:
  Compare -16 and -70
  Swap -16 and -70
  List after swap: [-70, -16, -51, -3, 72, 30, 76, 80]
  Compare -16 and -51
  Swap -16 and -51
  List after swap: [-70, -51, -16, -3, 72, 30, 76, 80]
  Compare -16 and -3
  No swap needed
  Compare -3 and 72
  No swap needed
  Compare 72 and 30
  Swap 72 and 30
  List after swap: [-70, -51, -16, -3, 30, 72, 76, 80]

Pass 4:
  Compare -70 and -51
  No swap needed
  Compare -51 and -16
  No swap needed
  Compare -16 and -3
  No swap needed
  Compare -3 and 30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -51, -16, -3, 30, 72, 76, 80]
</think>

<response>-70, -51, -16, -3, 30, 72, 76, 80</response>


input: Sort the list 20, -90, 22 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [20, -90, 22]

Pass 1:
  Compare 20 and -90
  Swap 20 and -90
  List after swap: [-90, 20, 22]
  Compare 20 and 22
  No swap needed

Pass 2:
  Compare -90 and 20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, 20, 22]
</think>

<response>-90, 20, 22</response>


input: Perform a bubble sort on the integers 92, -30, 12, -61, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [92, -30, 12, -61]

Pass 1:
  Compare 92 and -30
  Swap 92 and -30
  List after swap: [-30, 92, 12, -61]
  Compare 92 and 12
  Swap 92 and 12
  List after swap: [-30, 12, 92, -61]
  Compare 92 and -61
  Swap 92 and -61
  List after swap: [-30, 12, -61, 92]

Pass 2:
  Compare -30 and 12
  No swap needed
  Compare 12 and -61
  Swap 12 and -61
  List after swap: [-30, -61, 12, 92]

Pass 3:
  Compare -30 and -61
  Swap -30 and -61
  List after swap: [-61, -30, 12, 92]

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

Final sorted list: [-61, -30, 12, 92]
</think>

<response>-61, -30, 12, 92</response>


input: Arrange the numbers 9, -27 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [9, -27]

Pass 1:
  Compare 9 and -27
  Swap 9 and -27
  List after swap: [-27, 9]

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

Final sorted list: [-27, 9]
</think>

<response>-27, 9</response>


input: Perform a bubble sort on the integers -63, -80, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-63, -80]

Pass 1:
  Compare -63 and -80
  Swap -63 and -80
  List after swap: [-80, -63]

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

Final sorted list: [-80, -63]
</think>

<response>-80, -63</response>


input: Sort the list 51, 72, -14, -53, -1, -63, 84, 39, -19, -86 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [51, 72, -14, -53, -1, -63, 84, 39, -19, -86]

Pass 1:
  Compare 51 and 72
  No swap needed
  Compare 72 and -14
  Swap 72 and -14
  List after swap: [51, -14, 72, -53, -1, -63, 84, 39, -19, -86]
  Compare 72 and -53
  Swap 72 and -53
  List after swap: [51, -14, -53, 72, -1, -63, 84, 39, -19, -86]
  Compare 72 and -1
  Swap 72 and -1
  List after swap: [51, -14, -53, -1, 72, -63, 84, 39, -19, -86]
  Compare 72 and -63
  Swap 72 and -63
  List after swap: [51, -14, -53, -1, -63, 72, 84, 39, -19, -86]
  Compare 72 and 84
  No swap needed
  Compare 84 and 39
  Swap 84 and 39
  List after swap: [51, -14, -53, -1, -63, 72, 39, 84, -19, -86]
  Compare 84 and -19
  Swap 84 and -19
  List after swap: [51, -14, -53, -1, -63, 72, 39, -19, 84, -86]
  Compare 84 and -86
  Swap 84 and -86
  List after swap: [51, -14, -53, -1, -63, 72, 39, -19, -86, 84]

Pass 2:
  Compare 51 and -14
  Swap 51 and -14
  List after swap: [-14, 51, -53, -1, -63, 72, 39, -19, -86, 84]
  Compare 51 and -53
  Swap 51 and -53
  List after swap: [-14, -53, 51, -1, -63, 72, 39, -19, -86, 84]
  Compare 51 and -1
  Swap 51 and -1
  List after swap: [-14, -53, -1, 51, -63, 72, 39, -19, -86, 84]
  Compare 51 and -63
  Swap 51 and -63
  List after swap: [-14, -53, -1, -63, 51, 72, 39, -19, -86, 84]
  Compare 51 and 72
  No swap needed
  Compare 72 and 39
  Swap 72 and 39
  List after swap: [-14, -53, -1, -63, 51, 39, 72, -19, -86, 84]
  Compare 72 and -19
  Swap 72 and -19
  List after swap: [-14, -53, -1, -63, 51, 39, -19, 72, -86, 84]
  Compare 72 and -86
  Swap 72 and -86
  List after swap: [-14, -53, -1, -63, 51, 39, -19, -86, 72, 84]

Pass 3:
  Compare -14 and -53
  Swap -14 and -53
  List after swap: [-53, -14, -1, -63, 51, 39, -19, -86, 72, 84]
  Compare -14 and -1
  No swap needed
  Compare -1 and -63
  Swap -1 and -63
  List after swap: [-53, -14, -63, -1, 51, 39, -19, -86, 72, 84]
  Compare -1 and 51
  No swap needed
  Compare 51 and 39
  Swap 51 and 39
  List after swap: [-53, -14, -63, -1, 39, 51, -19, -86, 72, 84]
  Compare 51 and -19
  Swap 51 and -19
  List after swap: [-53, -14, -63, -1, 39, -19, 51, -86, 72, 84]
  Compare 51 and -86
  Swap 51 and -86
  List after swap: [-53, -14, -63, -1, 39, -19, -86, 51, 72, 84]

Pass 4:
  Compare -53 and -14
  No swap needed
  Compare -14 and -63
  Swap -14 and -63
  List after swap: [-53, -63, -14, -1, 39, -19, -86, 51, 72, 84]
  Compare -14 and -1
  No swap needed
  Compare -1 and 39
  No swap needed
  Compare 39 and -19
  Swap 39 and -19
  List after swap: [-53, -63, -14, -1, -19, 39, -86, 51, 72, 84]
  Compare 39 and -86
  Swap 39 and -86
  List after swap: [-53, -63, -14, -1, -19, -86, 39, 51, 72, 84]

Pass 5:
  Compare -53 and -63
  Swap -53 and -63
  List after swap: [-63, -53, -14, -1, -19, -86, 39, 51, 72, 84]
  Compare -53 and -14
  No swap needed
  Compare -14 and -1
  No swap needed
  Compare -1 and -19
  Swap -1 and -19
  List after swap: [-63, -53, -14, -19, -1, -86, 39, 51, 72, 84]
  Compare -1 and -86
  Swap -1 and -86
  List after swap: [-63, -53, -14, -19, -86, -1, 39, 51, 72, 84]

Pass 6:
  Compare -63 and -53
  No swap needed
  Compare -53 and -14
  No swap needed
  Compare -14 and -19
  Swap -14 and -19
  List after swap: [-63, -53, -19, -14, -86, -1, 39, 51, 72, 84]
  Compare -14 and -86
  Swap -14 and -86
  List after swap: [-63, -53, -19, -86, -14, -1, 39, 51, 72, 84]

Pass 7:
  Compare -63 and -53
  No swap needed
  Compare -53 and -19
  No swap needed
  Compare -19 and -86
  Swap -19 and -86
  List after swap: [-63, -53, -86, -19, -14, -1, 39, 51, 72, 84]

Pass 8:
  Compare -63 and -53
  No swap needed
  Compare -53 and -86
  Swap -53 and -86
  List after swap: [-63, -86, -53, -19, -14, -1, 39, 51, 72, 84]

Pass 9:
  Compare -63 and -86
  Swap -63 and -86
  List after swap: [-86, -63, -53, -19, -14, -1, 39, 51, 72, 84]

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

Final sorted list: [-86, -63, -53, -19, -14, -1, 39, 51, 72, 84]
</think>

<response>-86, -63, -53, -19, -14, -1, 39, 51, 72, 84</response>


input: Execute bubble sort to sort -31, -37, 38, 99 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-31, -37, 38, 99]

Pass 1:
  Compare -31 and -37
  Swap -31 and -37
  List after swap: [-37, -31, 38, 99]
  Compare -31 and 38
  No swap needed
  Compare 38 and 99
  No swap needed

Pass 2:
  Compare -37 and -31
  No swap needed
  Compare -31 and 38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-37, -31, 38, 99]
</think>

<response>-37, -31, 38, 99</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -78, 71, -49, -61, -28, -42, 3, 94, -46.

output:
<think>
Initial list: [-78, 71, -49, -61, -28, -42, 3, 94, -46]

Pass 1:
  Compare -78 and 71
  No swap needed
  Compare 71 and -49
  Swap 71 and -49
  List after swap: [-78, -49, 71, -61, -28, -42, 3, 94, -46]
  Compare 71 and -61
  Swap 71 and -61
  List after swap: [-78, -49, -61, 71, -28, -42, 3, 94, -46]
  Compare 71 and -28
  Swap 71 and -28
  List after swap: [-78, -49, -61, -28, 71, -42, 3, 94, -46]
  Compare 71 and -42
  Swap 71 and -42
  List after swap: [-78, -49, -61, -28, -42, 71, 3, 94, -46]
  Compare 71 and 3
  Swap 71 and 3
  List after swap: [-78, -49, -61, -28, -42, 3, 71, 94, -46]
  Compare 71 and 94
  No swap needed
  Compare 94 and -46
  Swap 94 and -46
  List after swap: [-78, -49, -61, -28, -42, 3, 71, -46, 94]

Pass 2:
  Compare -78 and -49
  No swap needed
  Compare -49 and -61
  Swap -49 and -61
  List after swap: [-78, -61, -49, -28, -42, 3, 71, -46, 94]
  Compare -49 and -28
  No swap needed
  Compare -28 and -42
  Swap -28 and -42
  List after swap: [-78, -61, -49, -42, -28, 3, 71, -46, 94]
  Compare -28 and 3
  No swap needed
  Compare 3 and 71
  No swap needed
  Compare 71 and -46
  Swap 71 and -46
  List after swap: [-78, -61, -49, -42, -28, 3, -46, 71, 94]

Pass 3:
  Compare -78 and -61
  No swap needed
  Compare -61 and -49
  No swap needed
  Compare -49 and -42
  No swap needed
  Compare -42 and -28
  No swap needed
  Compare -28 and 3
  No swap needed
  Compare 3 and -46
  Swap 3 and -46
  List after swap: [-78, -61, -49, -42, -28, -46, 3, 71, 94]

Pass 4:
  Compare -78 and -61
  No swap needed
  Compare -61 and -49
  No swap needed
  Compare -49 and -42
  No swap needed
  Compare -42 and -28
  No swap needed
  Compare -28 and -46
  Swap -28 and -46
  List after swap: [-78, -61, -49, -42, -46, -28, 3, 71, 94]

Pass 5:
  Compare -78 and -61
  No swap needed
  Compare -61 and -49
  No swap needed
  Compare -49 and -42
  No swap needed
  Compare -42 and -46
  Swap -42 and -46
  List after swap: [-78, -61, -49, -46, -42, -28, 3, 71, 94]

Pass 6:
  Compare -78 and -61
  No swap needed
  Compare -61 and -49
  No swap needed
  Compare -49 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -61, -49, -46, -42, -28, 3, 71, 94]
</think>

<response>-78, -61, -49, -46, -42, -28, 3, 71, 94</response>


input: Sort these integers -7, -16, -54 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-7, -16, -54]

Pass 1:
  Compare -7 and -16
  Swap -7 and -16
  List after swap: [-16, -7, -54]
  Compare -7 and -54
  Swap -7 and -54
  List after swap: [-16, -54, -7]

Pass 2:
  Compare -16 and -54
  Swap -16 and -54
  List after swap: [-54, -16, -7]

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

Final sorted list: [-54, -16, -7]
</think>

<response>-54, -16, -7</response>


input: Use the bubble sort technique to reorder 78, -24, 3 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [78, -24, 3]

Pass 1:
  Compare 78 and -24
  Swap 78 and -24
  List after swap: [-24, 78, 3]
  Compare 78 and 3
  Swap 78 and 3
  List after swap: [-24, 3, 78]

Pass 2:
  Compare -24 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-24, 3, 78]
</think>

<response>-24, 3, 78</response>


input: Implement bubble sort on 97, 50 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [97, 50]

Pass 1:
  Compare 97 and 50
  Swap 97 and 50
  List after swap: [50, 97]

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

Final sorted list: [50, 97]
</think>

<response>50, 97</response>


input: Use the bubble sort technique to reorder 11, -99, -13, 18 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [11, -99, -13, 18]

Pass 1:
  Compare 11 and -99
  Swap 11 and -99
  List after swap: [-99, 11, -13, 18]
  Compare 11 and -13
  Swap 11 and -13
  List after swap: [-99, -13, 11, 18]
  Compare 11 and 18
  No swap needed

Pass 2:
  Compare -99 and -13
  No swap needed
  Compare -13 and 11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -13, 11, 18]
</think>

<response>-99, -13, 11, 18</response>


input: Carry out the bubble sort algorithm on -82, -17, -53, 73, -15, -8, 1, -11, 13 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-82, -17, -53, 73, -15, -8, 1, -11, 13]

Pass 1:
  Compare -82 and -17
  No swap needed
  Compare -17 and -53
  Swap -17 and -53
  List after swap: [-82, -53, -17, 73, -15, -8, 1, -11, 13]
  Compare -17 and 73
  No swap needed
  Compare 73 and -15
  Swap 73 and -15
  List after swap: [-82, -53, -17, -15, 73, -8, 1, -11, 13]
  Compare 73 and -8
  Swap 73 and -8
  List after swap: [-82, -53, -17, -15, -8, 73, 1, -11, 13]
  Compare 73 and 1
  Swap 73 and 1
  List after swap: [-82, -53, -17, -15, -8, 1, 73, -11, 13]
  Compare 73 and -11
  Swap 73 and -11
  List after swap: [-82, -53, -17, -15, -8, 1, -11, 73, 13]
  Compare 73 and 13
  Swap 73 and 13
  List after swap: [-82, -53, -17, -15, -8, 1, -11, 13, 73]

Pass 2:
  Compare -82 and -53
  No swap needed
  Compare -53 and -17
  No swap needed
  Compare -17 and -15
  No swap needed
  Compare -15 and -8
  No swap needed
  Compare -8 and 1
  No swap needed
  Compare 1 and -11
  Swap 1 and -11
  List after swap: [-82, -53, -17, -15, -8, -11, 1, 13, 73]
  Compare 1 and 13
  No swap needed

Pass 3:
  Compare -82 and -53
  No swap needed
  Compare -53 and -17
  No swap needed
  Compare -17 and -15
  No swap needed
  Compare -15 and -8
  No swap needed
  Compare -8 and -11
  Swap -8 and -11
  List after swap: [-82, -53, -17, -15, -11, -8, 1, 13, 73]
  Compare -8 and 1
  No swap needed

Pass 4:
  Compare -82 and -53
  No swap needed
  Compare -53 and -17
  No swap needed
  Compare -17 and -15
  No swap needed
  Compare -15 and -11
  No swap needed
  Compare -11 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -53, -17, -15, -11, -8, 1, 13, 73]
</think>

<response>-82, -53, -17, -15, -11, -8, 1, 13, 73</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -87, -78, -82, 45, -81, 35.

output:
<think>
Initial list: [-87, -78, -82, 45, -81, 35]

Pass 1:
  Compare -87 and -78
  No swap needed
  Compare -78 and -82
  Swap -78 and -82
  List after swap: [-87, -82, -78, 45, -81, 35]
  Compare -78 and 45
  No swap needed
  Compare 45 and -81
  Swap 45 and -81
  List after swap: [-87, -82, -78, -81, 45, 35]
  Compare 45 and 35
  Swap 45 and 35
  List after swap: [-87, -82, -78, -81, 35, 45]

Pass 2:
  Compare -87 and -82
  No swap needed
  Compare -82 and -78
  No swap needed
  Compare -78 and -81
  Swap -78 and -81
  List after swap: [-87, -82, -81, -78, 35, 45]
  Compare -78 and 35
  No swap needed

Pass 3:
  Compare -87 and -82
  No swap needed
  Compare -82 and -81
  No swap needed
  Compare -81 and -78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -82, -81, -78, 35, 45]
</think>

<response>-87, -82, -81, -78, 35, 45</response>


input: Carry out the bubble sort algorithm on 56, -31, -5, -27, -46, 78, -1, -3, -72, -64 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [56, -31, -5, -27, -46, 78, -1, -3, -72, -64]

Pass 1:
  Compare 56 and -31
  Swap 56 and -31
  List after swap: [-31, 56, -5, -27, -46, 78, -1, -3, -72, -64]
  Compare 56 and -5
  Swap 56 and -5
  List after swap: [-31, -5, 56, -27, -46, 78, -1, -3, -72, -64]
  Compare 56 and -27
  Swap 56 and -27
  List after swap: [-31, -5, -27, 56, -46, 78, -1, -3, -72, -64]
  Compare 56 and -46
  Swap 56 and -46
  List after swap: [-31, -5, -27, -46, 56, 78, -1, -3, -72, -64]
  Compare 56 and 78
  No swap needed
  Compare 78 and -1
  Swap 78 and -1
  List after swap: [-31, -5, -27, -46, 56, -1, 78, -3, -72, -64]
  Compare 78 and -3
  Swap 78 and -3
  List after swap: [-31, -5, -27, -46, 56, -1, -3, 78, -72, -64]
  Compare 78 and -72
  Swap 78 and -72
  List after swap: [-31, -5, -27, -46, 56, -1, -3, -72, 78, -64]
  Compare 78 and -64
  Swap 78 and -64
  List after swap: [-31, -5, -27, -46, 56, -1, -3, -72, -64, 78]

Pass 2:
  Compare -31 and -5
  No swap needed
  Compare -5 and -27
  Swap -5 and -27
  List after swap: [-31, -27, -5, -46, 56, -1, -3, -72, -64, 78]
  Compare -5 and -46
  Swap -5 and -46
  List after swap: [-31, -27, -46, -5, 56, -1, -3, -72, -64, 78]
  Compare -5 and 56
  No swap needed
  Compare 56 and -1
  Swap 56 and -1
  List after swap: [-31, -27, -46, -5, -1, 56, -3, -72, -64, 78]
  Compare 56 and -3
  Swap 56 and -3
  List after swap: [-31, -27, -46, -5, -1, -3, 56, -72, -64, 78]
  Compare 56 and -72
  Swap 56 and -72
  List after swap: [-31, -27, -46, -5, -1, -3, -72, 56, -64, 78]
  Compare 56 and -64
  Swap 56 and -64
  List after swap: [-31, -27, -46, -5, -1, -3, -72, -64, 56, 78]

Pass 3:
  Compare -31 and -27
  No swap needed
  Compare -27 and -46
  Swap -27 and -46
  List after swap: [-31, -46, -27, -5, -1, -3, -72, -64, 56, 78]
  Compare -27 and -5
  No swap needed
  Compare -5 and -1
  No swap needed
  Compare -1 and -3
  Swap -1 and -3
  List after swap: [-31, -46, -27, -5, -3, -1, -72, -64, 56, 78]
  Compare -1 and -72
  Swap -1 and -72
  List after swap: [-31, -46, -27, -5, -3, -72, -1, -64, 56, 78]
  Compare -1 and -64
  Swap -1 and -64
  List after swap: [-31, -46, -27, -5, -3, -72, -64, -1, 56, 78]

Pass 4:
  Compare -31 and -46
  Swap -31 and -46
  List after swap: [-46, -31, -27, -5, -3, -72, -64, -1, 56, 78]
  Compare -31 and -27
  No swap needed
  Compare -27 and -5
  No swap needed
  Compare -5 and -3
  No swap needed
  Compare -3 and -72
  Swap -3 and -72
  List after swap: [-46, -31, -27, -5, -72, -3, -64, -1, 56, 78]
  Compare -3 and -64
  Swap -3 and -64
  List after swap: [-46, -31, -27, -5, -72, -64, -3, -1, 56, 78]

Pass 5:
  Compare -46 and -31
  No swap needed
  Compare -31 and -27
  No swap needed
  Compare -27 and -5
  No swap needed
  Compare -5 and -72
  Swap -5 and -72
  List after swap: [-46, -31, -27, -72, -5, -64, -3, -1, 56, 78]
  Compare -5 and -64
  Swap -5 and -64
  List after swap: [-46, -31, -27, -72, -64, -5, -3, -1, 56, 78]

Pass 6:
  Compare -46 and -31
  No swap needed
  Compare -31 and -27
  No swap needed
  Compare -27 and -72
  Swap -27 and -72
  List after swap: [-46, -31, -72, -27, -64, -5, -3, -1, 56, 78]
  Compare -27 and -64
  Swap -27 and -64
  List after swap: [-46, -31, -72, -64, -27, -5, -3, -1, 56, 78]

Pass 7:
  Compare -46 and -31
  No swap needed
  Compare -31 and -72
  Swap -31 and -72
  List after swap: [-46, -72, -31, -64, -27, -5, -3, -1, 56, 78]
  Compare -31 and -64
  Swap -31 and -64
  List after swap: [-46, -72, -64, -31, -27, -5, -3, -1, 56, 78]

Pass 8:
  Compare -46 and -72
  Swap -46 and -72
  List after swap: [-72, -46, -64, -31, -27, -5, -3, -1, 56, 78]
  Compare -46 and -64
  Swap -46 and -64
  List after swap: [-72, -64, -46, -31, -27, -5, -3, -1, 56, 78]

Pass 9:
  Compare -72 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -64, -46, -31, -27, -5, -3, -1, 56, 78]
</think>

<response>-72, -64, -46, -31, -27, -5, -3, -1, 56, 78</response>


input: Arrange the numbers -11, 30, 93, -21, -2, -87 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-11, 30, 93, -21, -2, -87]

Pass 1:
  Compare -11 and 30
  No swap needed
  Compare 30 and 93
  No swap needed
  Compare 93 and -21
  Swap 93 and -21
  List after swap: [-11, 30, -21, 93, -2, -87]
  Compare 93 and -2
  Swap 93 and -2
  List after swap: [-11, 30, -21, -2, 93, -87]
  Compare 93 and -87
  Swap 93 and -87
  List after swap: [-11, 30, -21, -2, -87, 93]

Pass 2:
  Compare -11 and 30
  No swap needed
  Compare 30 and -21
  Swap 30 and -21
  List after swap: [-11, -21, 30, -2, -87, 93]
  Compare 30 and -2
  Swap 30 and -2
  List after swap: [-11, -21, -2, 30, -87, 93]
  Compare 30 and -87
  Swap 30 and -87
  List after swap: [-11, -21, -2, -87, 30, 93]

Pass 3:
  Compare -11 and -21
  Swap -11 and -21
  List after swap: [-21, -11, -2, -87, 30, 93]
  Compare -11 and -2
  No swap needed
  Compare -2 and -87
  Swap -2 and -87
  List after swap: [-21, -11, -87, -2, 30, 93]

Pass 4:
  Compare -21 and -11
  No swap needed
  Compare -11 and -87
  Swap -11 and -87
  List after swap: [-21, -87, -11, -2, 30, 93]

Pass 5:
  Compare -21 and -87
  Swap -21 and -87
  List after swap: [-87, -21, -11, -2, 30, 93]

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

Final sorted list: [-87, -21, -11, -2, 30, 93]
</think>

<response>-87, -21, -11, -2, 30, 93</response>


input: Implement bubble sort on -71, 4, -79, 66 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-71, 4, -79, 66]

Pass 1:
  Compare -71 and 4
  No swap needed
  Compare 4 and -79
  Swap 4 and -79
  List after swap: [-71, -79, 4, 66]
  Compare 4 and 66
  No swap needed

Pass 2:
  Compare -71 and -79
  Swap -71 and -79
  List after swap: [-79, -71, 4, 66]
  Compare -71 and 4
  No swap needed

Pass 3:
  Compare -79 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -71, 4, 66]
</think>

<response>-79, -71, 4, 66</response>


input: Sort these integers -60, -21, -49, 94, 22 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-60, -21, -49, 94, 22]

Pass 1:
  Compare -60 and -21
  No swap needed
  Compare -21 and -49
  Swap -21 and -49
  List after swap: [-60, -49, -21, 94, 22]
  Compare -21 and 94
  No swap needed
  Compare 94 and 22
  Swap 94 and 22
  List after swap: [-60, -49, -21, 22, 94]

Pass 2:
  Compare -60 and -49
  No swap needed
  Compare -49 and -21
  No swap needed
  Compare -21 and 22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -49, -21, 22, 94]
</think>

<response>-60, -49, -21, 22, 94</response>


input: Carry out the bubble sort algorithm on 83, -79, -35, 19, -23, 36 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [83, -79, -35, 19, -23, 36]

Pass 1:
  Compare 83 and -79
  Swap 83 and -79
  List after swap: [-79, 83, -35, 19, -23, 36]
  Compare 83 and -35
  Swap 83 and -35
  List after swap: [-79, -35, 83, 19, -23, 36]
  Compare 83 and 19
  Swap 83 and 19
  List after swap: [-79, -35, 19, 83, -23, 36]
  Compare 83 and -23
  Swap 83 and -23
  List after swap: [-79, -35, 19, -23, 83, 36]
  Compare 83 and 36
  Swap 83 and 36
  List after swap: [-79, -35, 19, -23, 36, 83]

Pass 2:
  Compare -79 and -35
  No swap needed
  Compare -35 and 19
  No swap needed
  Compare 19 and -23
  Swap 19 and -23
  List after swap: [-79, -35, -23, 19, 36, 83]
  Compare 19 and 36
  No swap needed

Pass 3:
  Compare -79 and -35
  No swap needed
  Compare -35 and -23
  No swap needed
  Compare -23 and 19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -35, -23, 19, 36, 83]
</think>

<response>-79, -35, -23, 19, 36, 83</response>


input: Execute bubble sort to sort 66, -33, -92, -21, -23, 38, 51 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [66, -33, -92, -21, -23, 38, 51]

Pass 1:
  Compare 66 and -33
  Swap 66 and -33
  List after swap: [-33, 66, -92, -21, -23, 38, 51]
  Compare 66 and -92
  Swap 66 and -92
  List after swap: [-33, -92, 66, -21, -23, 38, 51]
  Compare 66 and -21
  Swap 66 and -21
  List after swap: [-33, -92, -21, 66, -23, 38, 51]
  Compare 66 and -23
  Swap 66 and -23
  List after swap: [-33, -92, -21, -23, 66, 38, 51]
  Compare 66 and 38
  Swap 66 and 38
  List after swap: [-33, -92, -21, -23, 38, 66, 51]
  Compare 66 and 51
  Swap 66 and 51
  List after swap: [-33, -92, -21, -23, 38, 51, 66]

Pass 2:
  Compare -33 and -92
  Swap -33 and -92
  List after swap: [-92, -33, -21, -23, 38, 51, 66]
  Compare -33 and -21
  No swap needed
  Compare -21 and -23
  Swap -21 and -23
  List after swap: [-92, -33, -23, -21, 38, 51, 66]
  Compare -21 and 38
  No swap needed
  Compare 38 and 51
  No swap needed

Pass 3:
  Compare -92 and -33
  No swap needed
  Compare -33 and -23
  No swap needed
  Compare -23 and -21
  No swap needed
  Compare -21 and 38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -33, -23, -21, 38, 51, 66]
</think>

<response>-92, -33, -23, -21, 38, 51, 66</response>


input: Demonstrate how bubble sort orders the integers -23, 84, 6 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-23, 84, 6]

Pass 1:
  Compare -23 and 84
  No swap needed
  Compare 84 and 6
  Swap 84 and 6
  List after swap: [-23, 6, 84]

Pass 2:
  Compare -23 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-23, 6, 84]
</think>

<response>-23, 6, 84</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -5, 84, -4, 6, -66, -65, -72, -28.

output:
<think>
Initial list: [-5, 84, -4, 6, -66, -65, -72, -28]

Pass 1:
  Compare -5 and 84
  No swap needed
  Compare 84 and -4
  Swap 84 and -4
  List after swap: [-5, -4, 84, 6, -66, -65, -72, -28]
  Compare 84 and 6
  Swap 84 and 6
  List after swap: [-5, -4, 6, 84, -66, -65, -72, -28]
  Compare 84 and -66
  Swap 84 and -66
  List after swap: [-5, -4, 6, -66, 84, -65, -72, -28]
  Compare 84 and -65
  Swap 84 and -65
  List after swap: [-5, -4, 6, -66, -65, 84, -72, -28]
  Compare 84 and -72
  Swap 84 and -72
  List after swap: [-5, -4, 6, -66, -65, -72, 84, -28]
  Compare 84 and -28
  Swap 84 and -28
  List after swap: [-5, -4, 6, -66, -65, -72, -28, 84]

Pass 2:
  Compare -5 and -4
  No swap needed
  Compare -4 and 6
  No swap needed
  Compare 6 and -66
  Swap 6 and -66
  List after swap: [-5, -4, -66, 6, -65, -72, -28, 84]
  Compare 6 and -65
  Swap 6 and -65
  List after swap: [-5, -4, -66, -65, 6, -72, -28, 84]
  Compare 6 and -72
  Swap 6 and -72
  List after swap: [-5, -4, -66, -65, -72, 6, -28, 84]
  Compare 6 and -28
  Swap 6 and -28
  List after swap: [-5, -4, -66, -65, -72, -28, 6, 84]

Pass 3:
  Compare -5 and -4
  No swap needed
  Compare -4 and -66
  Swap -4 and -66
  List after swap: [-5, -66, -4, -65, -72, -28, 6, 84]
  Compare -4 and -65
  Swap -4 and -65
  List after swap: [-5, -66, -65, -4, -72, -28, 6, 84]
  Compare -4 and -72
  Swap -4 and -72
  List after swap: [-5, -66, -65, -72, -4, -28, 6, 84]
  Compare -4 and -28
  Swap -4 and -28
  List after swap: [-5, -66, -65, -72, -28, -4, 6, 84]

Pass 4:
  Compare -5 and -66
  Swap -5 and -66
  List after swap: [-66, -5, -65, -72, -28, -4, 6, 84]
  Compare -5 and -65
  Swap -5 and -65
  List after swap: [-66, -65, -5, -72, -28, -4, 6, 84]
  Compare -5 and -72
  Swap -5 and -72
  List after swap: [-66, -65, -72, -5, -28, -4, 6, 84]
  Compare -5 and -28
  Swap -5 and -28
  List after swap: [-66, -65, -72, -28, -5, -4, 6, 84]

Pass 5:
  Compare -66 and -65
  No swap needed
  Compare -65 and -72
  Swap -65 and -72
  List after swap: [-66, -72, -65, -28, -5, -4, 6, 84]
  Compare -65 and -28
  No swap needed

Pass 6:
  Compare -66 and -72
  Swap -66 and -72
  List after swap: [-72, -66, -65, -28, -5, -4, 6, 84]
  Compare -66 and -65
  No swap needed

Pass 7:
  Compare -72 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -66, -65, -28, -5, -4, 6, 84]
</think>

<response>-72, -66, -65, -28, -5, -4, 6, 84</response>


input: Demonstrate how bubble sort orders the integers 82, -15, 41, -35, -92, 10, -100, 20 in ascending sequence, showing all steps.

output:
<think>
Initial list: [82, -15, 41, -35, -92, 10, -100, 20]

Pass 1:
  Compare 82 and -15
  Swap 82 and -15
  List after swap: [-15, 82, 41, -35, -92, 10, -100, 20]
  Compare 82 and 41
  Swap 82 and 41
  List after swap: [-15, 41, 82, -35, -92, 10, -100, 20]
  Compare 82 and -35
  Swap 82 and -35
  List after swap: [-15, 41, -35, 82, -92, 10, -100, 20]
  Compare 82 and -92
  Swap 82 and -92
  List after swap: [-15, 41, -35, -92, 82, 10, -100, 20]
  Compare 82 and 10
  Swap 82 and 10
  List after swap: [-15, 41, -35, -92, 10, 82, -100, 20]
  Compare 82 and -100
  Swap 82 and -100
  List after swap: [-15, 41, -35, -92, 10, -100, 82, 20]
  Compare 82 and 20
  Swap 82 and 20
  List after swap: [-15, 41, -35, -92, 10, -100, 20, 82]

Pass 2:
  Compare -15 and 41
  No swap needed
  Compare 41 and -35
  Swap 41 and -35
  List after swap: [-15, -35, 41, -92, 10, -100, 20, 82]
  Compare 41 and -92
  Swap 41 and -92
  List after swap: [-15, -35, -92, 41, 10, -100, 20, 82]
  Compare 41 and 10
  Swap 41 and 10
  List after swap: [-15, -35, -92, 10, 41, -100, 20, 82]
  Compare 41 and -100
  Swap 41 and -100
  List after swap: [-15, -35, -92, 10, -100, 41, 20, 82]
  Compare 41 and 20
  Swap 41 and 20
  List after swap: [-15, -35, -92, 10, -100, 20, 41, 82]

Pass 3:
  Compare -15 and -35
  Swap -15 and -35
  List after swap: [-35, -15, -92, 10, -100, 20, 41, 82]
  Compare -15 and -92
  Swap -15 and -92
  List after swap: [-35, -92, -15, 10, -100, 20, 41, 82]
  Compare -15 and 10
  No swap needed
  Compare 10 and -100
  Swap 10 and -100
  List after swap: [-35, -92, -15, -100, 10, 20, 41, 82]
  Compare 10 and 20
  No swap needed

Pass 4:
  Compare -35 and -92
  Swap -35 and -92
  List after swap: [-92, -35, -15, -100, 10, 20, 41, 82]
  Compare -35 and -15
  No swap needed
  Compare -15 and -100
  Swap -15 and -100
  List after swap: [-92, -35, -100, -15, 10, 20, 41, 82]
  Compare -15 and 10
  No swap needed

Pass 5:
  Compare -92 and -35
  No swap needed
  Compare -35 and -100
  Swap -35 and -100
  List after swap: [-92, -100, -35, -15, 10, 20, 41, 82]
  Compare -35 and -15
  No swap needed

Pass 6:
  Compare -92 and -100
  Swap -92 and -100
  List after swap: [-100, -92, -35, -15, 10, 20, 41, 82]
  Compare -92 and -35
  No swap needed

Pass 7:
  Compare -100 and -92
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -92, -35, -15, 10, 20, 41, 82]
</think>

<response>-100, -92, -35, -15, 10, 20, 41, 82</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -30, 53, -64, 44, -83, 71, -26.

output:
<think>
Initial list: [-30, 53, -64, 44, -83, 71, -26]

Pass 1:
  Compare -30 and 53
  No swap needed
  Compare 53 and -64
  Swap 53 and -64
  List after swap: [-30, -64, 53, 44, -83, 71, -26]
  Compare 53 and 44
  Swap 53 and 44
  List after swap: [-30, -64, 44, 53, -83, 71, -26]
  Compare 53 and -83
  Swap 53 and -83
  List after swap: [-30, -64, 44, -83, 53, 71, -26]
  Compare 53 and 71
  No swap needed
  Compare 71 and -26
  Swap 71 and -26
  List after swap: [-30, -64, 44, -83, 53, -26, 71]

Pass 2:
  Compare -30 and -64
  Swap -30 and -64
  List after swap: [-64, -30, 44, -83, 53, -26, 71]
  Compare -30 and 44
  No swap needed
  Compare 44 and -83
  Swap 44 and -83
  List after swap: [-64, -30, -83, 44, 53, -26, 71]
  Compare 44 and 53
  No swap needed
  Compare 53 and -26
  Swap 53 and -26
  List after swap: [-64, -30, -83, 44, -26, 53, 71]

Pass 3:
  Compare -64 and -30
  No swap needed
  Compare -30 and -83
  Swap -30 and -83
  List after swap: [-64, -83, -30, 44, -26, 53, 71]
  Compare -30 and 44
  No swap needed
  Compare 44 and -26
  Swap 44 and -26
  List after swap: [-64, -83, -30, -26, 44, 53, 71]

Pass 4:
  Compare -64 and -83
  Swap -64 and -83
  List after swap: [-83, -64, -30, -26, 44, 53, 71]
  Compare -64 and -30
  No swap needed
  Compare -30 and -26
  No swap needed

Pass 5:
  Compare -83 and -64
  No swap needed
  Compare -64 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -64, -30, -26, 44, 53, 71]
</think>

<response>-83, -64, -30, -26, 44, 53, 71</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 80, -32, -56, -15, -5, -38, 29, 15, -42.

output:
<think>
Initial list: [80, -32, -56, -15, -5, -38, 29, 15, -42]

Pass 1:
  Compare 80 and -32
  Swap 80 and -32
  List after swap: [-32, 80, -56, -15, -5, -38, 29, 15, -42]
  Compare 80 and -56
  Swap 80 and -56
  List after swap: [-32, -56, 80, -15, -5, -38, 29, 15, -42]
  Compare 80 and -15
  Swap 80 and -15
  List after swap: [-32, -56, -15, 80, -5, -38, 29, 15, -42]
  Compare 80 and -5
  Swap 80 and -5
  List after swap: [-32, -56, -15, -5, 80, -38, 29, 15, -42]
  Compare 80 and -38
  Swap 80 and -38
  List after swap: [-32, -56, -15, -5, -38, 80, 29, 15, -42]
  Compare 80 and 29
  Swap 80 and 29
  List after swap: [-32, -56, -15, -5, -38, 29, 80, 15, -42]
  Compare 80 and 15
  Swap 80 and 15
  List after swap: [-32, -56, -15, -5, -38, 29, 15, 80, -42]
  Compare 80 and -42
  Swap 80 and -42
  List after swap: [-32, -56, -15, -5, -38, 29, 15, -42, 80]

Pass 2:
  Compare -32 and -56
  Swap -32 and -56
  List after swap: [-56, -32, -15, -5, -38, 29, 15, -42, 80]
  Compare -32 and -15
  No swap needed
  Compare -15 and -5
  No swap needed
  Compare -5 and -38
  Swap -5 and -38
  List after swap: [-56, -32, -15, -38, -5, 29, 15, -42, 80]
  Compare -5 and 29
  No swap needed
  Compare 29 and 15
  Swap 29 and 15
  List after swap: [-56, -32, -15, -38, -5, 15, 29, -42, 80]
  Compare 29 and -42
  Swap 29 and -42
  List after swap: [-56, -32, -15, -38, -5, 15, -42, 29, 80]

Pass 3:
  Compare -56 and -32
  No swap needed
  Compare -32 and -15
  No swap needed
  Compare -15 and -38
  Swap -15 and -38
  List after swap: [-56, -32, -38, -15, -5, 15, -42, 29, 80]
  Compare -15 and -5
  No swap needed
  Compare -5 and 15
  No swap needed
  Compare 15 and -42
  Swap 15 and -42
  List after swap: [-56, -32, -38, -15, -5, -42, 15, 29, 80]

Pass 4:
  Compare -56 and -32
  No swap needed
  Compare -32 and -38
  Swap -32 and -38
  List after swap: [-56, -38, -32, -15, -5, -42, 15, 29, 80]
  Compare -32 and -15
  No swap needed
  Compare -15 and -5
  No swap needed
  Compare -5 and -42
  Swap -5 and -42
  List after swap: [-56, -38, -32, -15, -42, -5, 15, 29, 80]

Pass 5:
  Compare -56 and -38
  No swap needed
  Compare -38 and -32
  No swap needed
  Compare -32 and -15
  No swap needed
  Compare -15 and -42
  Swap -15 and -42
  List after swap: [-56, -38, -32, -42, -15, -5, 15, 29, 80]

Pass 6:
  Compare -56 and -38
  No swap needed
  Compare -38 and -32
  No swap needed
  Compare -32 and -42
  Swap -32 and -42
  List after swap: [-56, -38, -42, -32, -15, -5, 15, 29, 80]

Pass 7:
  Compare -56 and -38
  No swap needed
  Compare -38 and -42
  Swap -38 and -42
  List after swap: [-56, -42, -38, -32, -15, -5, 15, 29, 80]

Pass 8:
  Compare -56 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -42, -38, -32, -15, -5, 15, 29, 80]
</think>

<response>-56, -42, -38, -32, -15, -5, 15, 29, 80</response>


input: Perform a bubble sort on the integers -72, 74, 29, -63, -47, -41, -76, 32, -85, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-72, 74, 29, -63, -47, -41, -76, 32, -85]

Pass 1:
  Compare -72 and 74
  No swap needed
  Compare 74 and 29
  Swap 74 and 29
  List after swap: [-72, 29, 74, -63, -47, -41, -76, 32, -85]
  Compare 74 and -63
  Swap 74 and -63
  List after swap: [-72, 29, -63, 74, -47, -41, -76, 32, -85]
  Compare 74 and -47
  Swap 74 and -47
  List after swap: [-72, 29, -63, -47, 74, -41, -76, 32, -85]
  Compare 74 and -41
  Swap 74 and -41
  List after swap: [-72, 29, -63, -47, -41, 74, -76, 32, -85]
  Compare 74 and -76
  Swap 74 and -76
  List after swap: [-72, 29, -63, -47, -41, -76, 74, 32, -85]
  Compare 74 and 32
  Swap 74 and 32
  List after swap: [-72, 29, -63, -47, -41, -76, 32, 74, -85]
  Compare 74 and -85
  Swap 74 and -85
  List after swap: [-72, 29, -63, -47, -41, -76, 32, -85, 74]

Pass 2:
  Compare -72 and 29
  No swap needed
  Compare 29 and -63
  Swap 29 and -63
  List after swap: [-72, -63, 29, -47, -41, -76, 32, -85, 74]
  Compare 29 and -47
  Swap 29 and -47
  List after swap: [-72, -63, -47, 29, -41, -76, 32, -85, 74]
  Compare 29 and -41
  Swap 29 and -41
  List after swap: [-72, -63, -47, -41, 29, -76, 32, -85, 74]
  Compare 29 and -76
  Swap 29 and -76
  List after swap: [-72, -63, -47, -41, -76, 29, 32, -85, 74]
  Compare 29 and 32
  No swap needed
  Compare 32 and -85
  Swap 32 and -85
  List after swap: [-72, -63, -47, -41, -76, 29, -85, 32, 74]

Pass 3:
  Compare -72 and -63
  No swap needed
  Compare -63 and -47
  No swap needed
  Compare -47 and -41
  No swap needed
  Compare -41 and -76
  Swap -41 and -76
  List after swap: [-72, -63, -47, -76, -41, 29, -85, 32, 74]
  Compare -41 and 29
  No swap needed
  Compare 29 and -85
  Swap 29 and -85
  List after swap: [-72, -63, -47, -76, -41, -85, 29, 32, 74]

Pass 4:
  Compare -72 and -63
  No swap needed
  Compare -63 and -47
  No swap needed
  Compare -47 and -76
  Swap -47 and -76
  List after swap: [-72, -63, -76, -47, -41, -85, 29, 32, 74]
  Compare -47 and -41
  No swap needed
  Compare -41 and -85
  Swap -41 and -85
  List after swap: [-72, -63, -76, -47, -85, -41, 29, 32, 74]

Pass 5:
  Compare -72 and -63
  No swap needed
  Compare -63 and -76
  Swap -63 and -76
  List after swap: [-72, -76, -63, -47, -85, -41, 29, 32, 74]
  Compare -63 and -47
  No swap needed
  Compare -47 and -85
  Swap -47 and -85
  List after swap: [-72, -76, -63, -85, -47, -41, 29, 32, 74]

Pass 6:
  Compare -72 and -76
  Swap -72 and -76
  List after swap: [-76, -72, -63, -85, -47, -41, 29, 32, 74]
  Compare -72 and -63
  No swap needed
  Compare -63 and -85
  Swap -63 and -85
  List after swap: [-76, -72, -85, -63, -47, -41, 29, 32, 74]

Pass 7:
  Compare -76 and -72
  No swap needed
  Compare -72 and -85
  Swap -72 and -85
  List after swap: [-76, -85, -72, -63, -47, -41, 29, 32, 74]

Pass 8:
  Compare -76 and -85
  Swap -76 and -85
  List after swap: [-85, -76, -72, -63, -47, -41, 29, 32, 74]

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

Final sorted list: [-85, -76, -72, -63, -47, -41, 29, 32, 74]
</think>

<response>-85, -76, -72, -63, -47, -41, 29, 32, 74</response>


input: Sort the list 63, -84, 7, -28 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [63, -84, 7, -28]

Pass 1:
  Compare 63 and -84
  Swap 63 and -84
  List after swap: [-84, 63, 7, -28]
  Compare 63 and 7
  Swap 63 and 7
  List after swap: [-84, 7, 63, -28]
  Compare 63 and -28
  Swap 63 and -28
  List after swap: [-84, 7, -28, 63]

Pass 2:
  Compare -84 and 7
  No swap needed
  Compare 7 and -28
  Swap 7 and -28
  List after swap: [-84, -28, 7, 63]

Pass 3:
  Compare -84 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -28, 7, 63]
</think>

<response>-84, -28, 7, 63</response>


input: Sort these integers 15, 56, 60, -88 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [15, 56, 60, -88]

Pass 1:
  Compare 15 and 56
  No swap needed
  Compare 56 and 60
  No swap needed
  Compare 60 and -88
  Swap 60 and -88
  List after swap: [15, 56, -88, 60]

Pass 2:
  Compare 15 and 56
  No swap needed
  Compare 56 and -88
  Swap 56 and -88
  List after swap: [15, -88, 56, 60]

Pass 3:
  Compare 15 and -88
  Swap 15 and -88
  List after swap: [-88, 15, 56, 60]

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

Final sorted list: [-88, 15, 56, 60]
</think>

<response>-88, 15, 56, 60</response>


input: Using the bubble sort method, sort 63, 44, 83, -42, -22, 86, 84, 29, 52 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [63, 44, 83, -42, -22, 86, 84, 29, 52]

Pass 1:
  Compare 63 and 44
  Swap 63 and 44
  List after swap: [44, 63, 83, -42, -22, 86, 84, 29, 52]
  Compare 63 and 83
  No swap needed
  Compare 83 and -42
  Swap 83 and -42
  List after swap: [44, 63, -42, 83, -22, 86, 84, 29, 52]
  Compare 83 and -22
  Swap 83 and -22
  List after swap: [44, 63, -42, -22, 83, 86, 84, 29, 52]
  Compare 83 and 86
  No swap needed
  Compare 86 and 84
  Swap 86 and 84
  List after swap: [44, 63, -42, -22, 83, 84, 86, 29, 52]
  Compare 86 and 29
  Swap 86 and 29
  List after swap: [44, 63, -42, -22, 83, 84, 29, 86, 52]
  Compare 86 and 52
  Swap 86 and 52
  List after swap: [44, 63, -42, -22, 83, 84, 29, 52, 86]

Pass 2:
  Compare 44 and 63
  No swap needed
  Compare 63 and -42
  Swap 63 and -42
  List after swap: [44, -42, 63, -22, 83, 84, 29, 52, 86]
  Compare 63 and -22
  Swap 63 and -22
  List after swap: [44, -42, -22, 63, 83, 84, 29, 52, 86]
  Compare 63 and 83
  No swap needed
  Compare 83 and 84
  No swap needed
  Compare 84 and 29
  Swap 84 and 29
  List after swap: [44, -42, -22, 63, 83, 29, 84, 52, 86]
  Compare 84 and 52
  Swap 84 and 52
  List after swap: [44, -42, -22, 63, 83, 29, 52, 84, 86]

Pass 3:
  Compare 44 and -42
  Swap 44 and -42
  List after swap: [-42, 44, -22, 63, 83, 29, 52, 84, 86]
  Compare 44 and -22
  Swap 44 and -22
  List after swap: [-42, -22, 44, 63, 83, 29, 52, 84, 86]
  Compare 44 and 63
  No swap needed
  Compare 63 and 83
  No swap needed
  Compare 83 and 29
  Swap 83 and 29
  List after swap: [-42, -22, 44, 63, 29, 83, 52, 84, 86]
  Compare 83 and 52
  Swap 83 and 52
  List after swap: [-42, -22, 44, 63, 29, 52, 83, 84, 86]

Pass 4:
  Compare -42 and -22
  No swap needed
  Compare -22 and 44
  No swap needed
  Compare 44 and 63
  No swap needed
  Compare 63 and 29
  Swap 63 and 29
  List after swap: [-42, -22, 44, 29, 63, 52, 83, 84, 86]
  Compare 63 and 52
  Swap 63 and 52
  List after swap: [-42, -22, 44, 29, 52, 63, 83, 84, 86]

Pass 5:
  Compare -42 and -22
  No swap needed
  Compare -22 and 44
  No swap needed
  Compare 44 and 29
  Swap 44 and 29
  List after swap: [-42, -22, 29, 44, 52, 63, 83, 84, 86]
  Compare 44 and 52
  No swap needed

Pass 6:
  Compare -42 and -22
  No swap needed
  Compare -22 and 29
  No swap needed
  Compare 29 and 44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-42, -22, 29, 44, 52, 63, 83, 84, 86]
</think>

<response>-42, -22, 29, 44, 52, 63, 83, 84, 86</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -29, 30, 91, -35, -8, -51, -92, 39.

output:
<think>
Initial list: [-29, 30, 91, -35, -8, -51, -92, 39]

Pass 1:
  Compare -29 and 30
  No swap needed
  Compare 30 and 91
  No swap needed
  Compare 91 and -35
  Swap 91 and -35
  List after swap: [-29, 30, -35, 91, -8, -51, -92, 39]
  Compare 91 and -8
  Swap 91 and -8
  List after swap: [-29, 30, -35, -8, 91, -51, -92, 39]
  Compare 91 and -51
  Swap 91 and -51
  List after swap: [-29, 30, -35, -8, -51, 91, -92, 39]
  Compare 91 and -92
  Swap 91 and -92
  List after swap: [-29, 30, -35, -8, -51, -92, 91, 39]
  Compare 91 and 39
  Swap 91 and 39
  List after swap: [-29, 30, -35, -8, -51, -92, 39, 91]

Pass 2:
  Compare -29 and 30
  No swap needed
  Compare 30 and -35
  Swap 30 and -35
  List after swap: [-29, -35, 30, -8, -51, -92, 39, 91]
  Compare 30 and -8
  Swap 30 and -8
  List after swap: [-29, -35, -8, 30, -51, -92, 39, 91]
  Compare 30 and -51
  Swap 30 and -51
  List after swap: [-29, -35, -8, -51, 30, -92, 39, 91]
  Compare 30 and -92
  Swap 30 and -92
  List after swap: [-29, -35, -8, -51, -92, 30, 39, 91]
  Compare 30 and 39
  No swap needed

Pass 3:
  Compare -29 and -35
  Swap -29 and -35
  List after swap: [-35, -29, -8, -51, -92, 30, 39, 91]
  Compare -29 and -8
  No swap needed
  Compare -8 and -51
  Swap -8 and -51
  List after swap: [-35, -29, -51, -8, -92, 30, 39, 91]
  Compare -8 and -92
  Swap -8 and -92
  List after swap: [-35, -29, -51, -92, -8, 30, 39, 91]
  Compare -8 and 30
  No swap needed

Pass 4:
  Compare -35 and -29
  No swap needed
  Compare -29 and -51
  Swap -29 and -51
  List after swap: [-35, -51, -29, -92, -8, 30, 39, 91]
  Compare -29 and -92
  Swap -29 and -92
  List after swap: [-35, -51, -92, -29, -8, 30, 39, 91]
  Compare -29 and -8
  No swap needed

Pass 5:
  Compare -35 and -51
  Swap -35 and -51
  List after swap: [-51, -35, -92, -29, -8, 30, 39, 91]
  Compare -35 and -92
  Swap -35 and -92
  List after swap: [-51, -92, -35, -29, -8, 30, 39, 91]
  Compare -35 and -29
  No swap needed

Pass 6:
  Compare -51 and -92
  Swap -51 and -92
  List after swap: [-92, -51, -35, -29, -8, 30, 39, 91]
  Compare -51 and -35
  No swap needed

Pass 7:
  Compare -92 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -51, -35, -29, -8, 30, 39, 91]
</think>

<response>-92, -51, -35, -29, -8, 30, 39, 91</response>


input: Demonstrate how bubble sort orders the integers -24, 13, 94, -96, 69, -86, 53, 35 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-24, 13, 94, -96, 69, -86, 53, 35]

Pass 1:
  Compare -24 and 13
  No swap needed
  Compare 13 and 94
  No swap needed
  Compare 94 and -96
  Swap 94 and -96
  List after swap: [-24, 13, -96, 94, 69, -86, 53, 35]
  Compare 94 and 69
  Swap 94 and 69
  List after swap: [-24, 13, -96, 69, 94, -86, 53, 35]
  Compare 94 and -86
  Swap 94 and -86
  List after swap: [-24, 13, -96, 69, -86, 94, 53, 35]
  Compare 94 and 53
  Swap 94 and 53
  List after swap: [-24, 13, -96, 69, -86, 53, 94, 35]
  Compare 94 and 35
  Swap 94 and 35
  List after swap: [-24, 13, -96, 69, -86, 53, 35, 94]

Pass 2:
  Compare -24 and 13
  No swap needed
  Compare 13 and -96
  Swap 13 and -96
  List after swap: [-24, -96, 13, 69, -86, 53, 35, 94]
  Compare 13 and 69
  No swap needed
  Compare 69 and -86
  Swap 69 and -86
  List after swap: [-24, -96, 13, -86, 69, 53, 35, 94]
  Compare 69 and 53
  Swap 69 and 53
  List after swap: [-24, -96, 13, -86, 53, 69, 35, 94]
  Compare 69 and 35
  Swap 69 and 35
  List after swap: [-24, -96, 13, -86, 53, 35, 69, 94]

Pass 3:
  Compare -24 and -96
  Swap -24 and -96
  List after swap: [-96, -24, 13, -86, 53, 35, 69, 94]
  Compare -24 and 13
  No swap needed
  Compare 13 and -86
  Swap 13 and -86
  List after swap: [-96, -24, -86, 13, 53, 35, 69, 94]
  Compare 13 and 53
  No swap needed
  Compare 53 and 35
  Swap 53 and 35
  List after swap: [-96, -24, -86, 13, 35, 53, 69, 94]

Pass 4:
  Compare -96 and -24
  No swap needed
  Compare -24 and -86
  Swap -24 and -86
  List after swap: [-96, -86, -24, 13, 35, 53, 69, 94]
  Compare -24 and 13
  No swap needed
  Compare 13 and 35
  No swap needed

Pass 5:
  Compare -96 and -86
  No swap needed
  Compare -86 and -24
  No swap needed
  Compare -24 and 13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -86, -24, 13, 35, 53, 69, 94]
</think>

<response>-96, -86, -24, 13, 35, 53, 69, 94</response>


input: Using the bubble sort method, sort -28, 4, 78, 69, 83 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-28, 4, 78, 69, 83]

Pass 1:
  Compare -28 and 4
  No swap needed
  Compare 4 and 78
  No swap needed
  Compare 78 and 69
  Swap 78 and 69
  List after swap: [-28, 4, 69, 78, 83]
  Compare 78 and 83
  No swap needed

Pass 2:
  Compare -28 and 4
  No swap needed
  Compare 4 and 69
  No swap needed
  Compare 69 and 78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-28, 4, 69, 78, 83]
</think>

<response>-28, 4, 69, 78, 83</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 37, -54, -37, -16, 54, 83, -20, 52.

output:
<think>
Initial list: [37, -54, -37, -16, 54, 83, -20, 52]

Pass 1:
  Compare 37 and -54
  Swap 37 and -54
  List after swap: [-54, 37, -37, -16, 54, 83, -20, 52]
  Compare 37 and -37
  Swap 37 and -37
  List after swap: [-54, -37, 37, -16, 54, 83, -20, 52]
  Compare 37 and -16
  Swap 37 and -16
  List after swap: [-54, -37, -16, 37, 54, 83, -20, 52]
  Compare 37 and 54
  No swap needed
  Compare 54 and 83
  No swap needed
  Compare 83 and -20
  Swap 83 and -20
  List after swap: [-54, -37, -16, 37, 54, -20, 83, 52]
  Compare 83 and 52
  Swap 83 and 52
  List after swap: [-54, -37, -16, 37, 54, -20, 52, 83]

Pass 2:
  Compare -54 and -37
  No swap needed
  Compare -37 and -16
  No swap needed
  Compare -16 and 37
  No swap needed
  Compare 37 and 54
  No swap needed
  Compare 54 and -20
  Swap 54 and -20
  List after swap: [-54, -37, -16, 37, -20, 54, 52, 83]
  Compare 54 and 52
  Swap 54 and 52
  List after swap: [-54, -37, -16, 37, -20, 52, 54, 83]

Pass 3:
  Compare -54 and -37
  No swap needed
  Compare -37 and -16
  No swap needed
  Compare -16 and 37
  No swap needed
  Compare 37 and -20
  Swap 37 and -20
  List after swap: [-54, -37, -16, -20, 37, 52, 54, 83]
  Compare 37 and 52
  No swap needed

Pass 4:
  Compare -54 and -37
  No swap needed
  Compare -37 and -16
  No swap needed
  Compare -16 and -20
  Swap -16 and -20
  List after swap: [-54, -37, -20, -16, 37, 52, 54, 83]
  Compare -16 and 37
  No swap needed

Pass 5:
  Compare -54 and -37
  No swap needed
  Compare -37 and -20
  No swap needed
  Compare -20 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-54, -37, -20, -16, 37, 52, 54, 83]
</think>

<response>-54, -37, -20, -16, 37, 52, 54, 83</response>


input: Sort these integers 77, -51, -2, -5, -58, 89 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [77, -51, -2, -5, -58, 89]

Pass 1:
  Compare 77 and -51
  Swap 77 and -51
  List after swap: [-51, 77, -2, -5, -58, 89]
  Compare 77 and -2
  Swap 77 and -2
  List after swap: [-51, -2, 77, -5, -58, 89]
  Compare 77 and -5
  Swap 77 and -5
  List after swap: [-51, -2, -5, 77, -58, 89]
  Compare 77 and -58
  Swap 77 and -58
  List after swap: [-51, -2, -5, -58, 77, 89]
  Compare 77 and 89
  No swap needed

Pass 2:
  Compare -51 and -2
  No swap needed
  Compare -2 and -5
  Swap -2 and -5
  List after swap: [-51, -5, -2, -58, 77, 89]
  Compare -2 and -58
  Swap -2 and -58
  List after swap: [-51, -5, -58, -2, 77, 89]
  Compare -2 and 77
  No swap needed

Pass 3:
  Compare -51 and -5
  No swap needed
  Compare -5 and -58
  Swap -5 and -58
  List after swap: [-51, -58, -5, -2, 77, 89]
  Compare -5 and -2
  No swap needed

Pass 4:
  Compare -51 and -58
  Swap -51 and -58
  List after swap: [-58, -51, -5, -2, 77, 89]
  Compare -51 and -5
  No swap needed

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

Final sorted list: [-58, -51, -5, -2, 77, 89]
</think>

<response>-58, -51, -5, -2, 77, 89</response>


input: Perform a bubble sort on the integers 2, -17, -4, -56, -85, -69, -89, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [2, -17, -4, -56, -85, -69, -89]

Pass 1:
  Compare 2 and -17
  Swap 2 and -17
  List after swap: [-17, 2, -4, -56, -85, -69, -89]
  Compare 2 and -4
  Swap 2 and -4
  List after swap: [-17, -4, 2, -56, -85, -69, -89]
  Compare 2 and -56
  Swap 2 and -56
  List after swap: [-17, -4, -56, 2, -85, -69, -89]
  Compare 2 and -85
  Swap 2 and -85
  List after swap: [-17, -4, -56, -85, 2, -69, -89]
  Compare 2 and -69
  Swap 2 and -69
  List after swap: [-17, -4, -56, -85, -69, 2, -89]
  Compare 2 and -89
  Swap 2 and -89
  List after swap: [-17, -4, -56, -85, -69, -89, 2]

Pass 2:
  Compare -17 and -4
  No swap needed
  Compare -4 and -56
  Swap -4 and -56
  List after swap: [-17, -56, -4, -85, -69, -89, 2]
  Compare -4 and -85
  Swap -4 and -85
  List after swap: [-17, -56, -85, -4, -69, -89, 2]
  Compare -4 and -69
  Swap -4 and -69
  List after swap: [-17, -56, -85, -69, -4, -89, 2]
  Compare -4 and -89
  Swap -4 and -89
  List after swap: [-17, -56, -85, -69, -89, -4, 2]

Pass 3:
  Compare -17 and -56
  Swap -17 and -56
  List after swap: [-56, -17, -85, -69, -89, -4, 2]
  Compare -17 and -85
  Swap -17 and -85
  List after swap: [-56, -85, -17, -69, -89, -4, 2]
  Compare -17 and -69
  Swap -17 and -69
  List after swap: [-56, -85, -69, -17, -89, -4, 2]
  Compare -17 and -89
  Swap -17 and -89
  List after swap: [-56, -85, -69, -89, -17, -4, 2]

Pass 4:
  Compare -56 and -85
  Swap -56 and -85
  List after swap: [-85, -56, -69, -89, -17, -4, 2]
  Compare -56 and -69
  Swap -56 and -69
  List after swap: [-85, -69, -56, -89, -17, -4, 2]
  Compare -56 and -89
  Swap -56 and -89
  List after swap: [-85, -69, -89, -56, -17, -4, 2]

Pass 5:
  Compare -85 and -69
  No swap needed
  Compare -69 and -89
  Swap -69 and -89
  List after swap: [-85, -89, -69, -56, -17, -4, 2]

Pass 6:
  Compare -85 and -89
  Swap -85 and -89
  List after swap: [-89, -85, -69, -56, -17, -4, 2]

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

Final sorted list: [-89, -85, -69, -56, -17, -4, 2]
</think>

<response>-89, -85, -69, -56, -17, -4, 2</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 10, -56, -13, -54, 87, -37, 17, 4, 12.

output:
<think>
Initial list: [10, -56, -13, -54, 87, -37, 17, 4, 12]

Pass 1:
  Compare 10 and -56
  Swap 10 and -56
  List after swap: [-56, 10, -13, -54, 87, -37, 17, 4, 12]
  Compare 10 and -13
  Swap 10 and -13
  List after swap: [-56, -13, 10, -54, 87, -37, 17, 4, 12]
  Compare 10 and -54
  Swap 10 and -54
  List after swap: [-56, -13, -54, 10, 87, -37, 17, 4, 12]
  Compare 10 and 87
  No swap needed
  Compare 87 and -37
  Swap 87 and -37
  List after swap: [-56, -13, -54, 10, -37, 87, 17, 4, 12]
  Compare 87 and 17
  Swap 87 and 17
  List after swap: [-56, -13, -54, 10, -37, 17, 87, 4, 12]
  Compare 87 and 4
  Swap 87 and 4
  List after swap: [-56, -13, -54, 10, -37, 17, 4, 87, 12]
  Compare 87 and 12
  Swap 87 and 12
  List after swap: [-56, -13, -54, 10, -37, 17, 4, 12, 87]

Pass 2:
  Compare -56 and -13
  No swap needed
  Compare -13 and -54
  Swap -13 and -54
  List after swap: [-56, -54, -13, 10, -37, 17, 4, 12, 87]
  Compare -13 and 10
  No swap needed
  Compare 10 and -37
  Swap 10 and -37
  List after swap: [-56, -54, -13, -37, 10, 17, 4, 12, 87]
  Compare 10 and 17
  No swap needed
  Compare 17 and 4
  Swap 17 and 4
  List after swap: [-56, -54, -13, -37, 10, 4, 17, 12, 87]
  Compare 17 and 12
  Swap 17 and 12
  List after swap: [-56, -54, -13, -37, 10, 4, 12, 17, 87]

Pass 3:
  Compare -56 and -54
  No swap needed
  Compare -54 and -13
  No swap needed
  Compare -13 and -37
  Swap -13 and -37
  List after swap: [-56, -54, -37, -13, 10, 4, 12, 17, 87]
  Compare -13 and 10
  No swap needed
  Compare 10 and 4
  Swap 10 and 4
  List after swap: [-56, -54, -37, -13, 4, 10, 12, 17, 87]
  Compare 10 and 12
  No swap needed

Pass 4:
  Compare -56 and -54
  No swap needed
  Compare -54 and -37
  No swap needed
  Compare -37 and -13
  No swap needed
  Compare -13 and 4
  No swap needed
  Compare 4 and 10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -54, -37, -13, 4, 10, 12, 17, 87]
</think>

<response>-56, -54, -37, -13, 4, 10, 12, 17, 87</response>


input: Use the bubble sort technique to reorder -69, -32, -49, 19, 52, 40, -29, 57, 71, -92 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-69, -32, -49, 19, 52, 40, -29, 57, 71, -92]

Pass 1:
  Compare -69 and -32
  No swap needed
  Compare -32 and -49
  Swap -32 and -49
  List after swap: [-69, -49, -32, 19, 52, 40, -29, 57, 71, -92]
  Compare -32 and 19
  No swap needed
  Compare 19 and 52
  No swap needed
  Compare 52 and 40
  Swap 52 and 40
  List after swap: [-69, -49, -32, 19, 40, 52, -29, 57, 71, -92]
  Compare 52 and -29
  Swap 52 and -29
  List after swap: [-69, -49, -32, 19, 40, -29, 52, 57, 71, -92]
  Compare 52 and 57
  No swap needed
  Compare 57 and 71
  No swap needed
  Compare 71 and -92
  Swap 71 and -92
  List after swap: [-69, -49, -32, 19, 40, -29, 52, 57, -92, 71]

Pass 2:
  Compare -69 and -49
  No swap needed
  Compare -49 and -32
  No swap needed
  Compare -32 and 19
  No swap needed
  Compare 19 and 40
  No swap needed
  Compare 40 and -29
  Swap 40 and -29
  List after swap: [-69, -49, -32, 19, -29, 40, 52, 57, -92, 71]
  Compare 40 and 52
  No swap needed
  Compare 52 and 57
  No swap needed
  Compare 57 and -92
  Swap 57 and -92
  List after swap: [-69, -49, -32, 19, -29, 40, 52, -92, 57, 71]

Pass 3:
  Compare -69 and -49
  No swap needed
  Compare -49 and -32
  No swap needed
  Compare -32 and 19
  No swap needed
  Compare 19 and -29
  Swap 19 and -29
  List after swap: [-69, -49, -32, -29, 19, 40, 52, -92, 57, 71]
  Compare 19 and 40
  No swap needed
  Compare 40 and 52
  No swap needed
  Compare 52 and -92
  Swap 52 and -92
  List after swap: [-69, -49, -32, -29, 19, 40, -92, 52, 57, 71]

Pass 4:
  Compare -69 and -49
  No swap needed
  Compare -49 and -32
  No swap needed
  Compare -32 and -29
  No swap needed
  Compare -29 and 19
  No swap needed
  Compare 19 and 40
  No swap needed
  Compare 40 and -92
  Swap 40 and -92
  List after swap: [-69, -49, -32, -29, 19, -92, 40, 52, 57, 71]

Pass 5:
  Compare -69 and -49
  No swap needed
  Compare -49 and -32
  No swap needed
  Compare -32 and -29
  No swap needed
  Compare -29 and 19
  No swap needed
  Compare 19 and -92
  Swap 19 and -92
  List after swap: [-69, -49, -32, -29, -92, 19, 40, 52, 57, 71]

Pass 6:
  Compare -69 and -49
  No swap needed
  Compare -49 and -32
  No swap needed
  Compare -32 and -29
  No swap needed
  Compare -29 and -92
  Swap -29 and -92
  List after swap: [-69, -49, -32, -92, -29, 19, 40, 52, 57, 71]

Pass 7:
  Compare -69 and -49
  No swap needed
  Compare -49 and -32
  No swap needed
  Compare -32 and -92
  Swap -32 and -92
  List after swap: [-69, -49, -92, -32, -29, 19, 40, 52, 57, 71]

Pass 8:
  Compare -69 and -49
  No swap needed
  Compare -49 and -92
  Swap -49 and -92
  List after swap: [-69, -92, -49, -32, -29, 19, 40, 52, 57, 71]

Pass 9:
  Compare -69 and -92
  Swap -69 and -92
  List after swap: [-92, -69, -49, -32, -29, 19, 40, 52, 57, 71]

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

Final sorted list: [-92, -69, -49, -32, -29, 19, 40, 52, 57, 71]
</think>

<response>-92, -69, -49, -32, -29, 19, 40, 52, 57, 71</response>


input: Execute bubble sort to sort -85, -44, -48, -39, 3, 7, 90 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-85, -44, -48, -39, 3, 7, 90]

Pass 1:
  Compare -85 and -44
  No swap needed
  Compare -44 and -48
  Swap -44 and -48
  List after swap: [-85, -48, -44, -39, 3, 7, 90]
  Compare -44 and -39
  No swap needed
  Compare -39 and 3
  No swap needed
  Compare 3 and 7
  No swap needed
  Compare 7 and 90
  No swap needed

Pass 2:
  Compare -85 and -48
  No swap needed
  Compare -48 and -44
  No swap needed
  Compare -44 and -39
  No swap needed
  Compare -39 and 3
  No swap needed
  Compare 3 and 7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -48, -44, -39, 3, 7, 90]
</think>

<response>-85, -48, -44, -39, 3, 7, 90</response>


input: Carry out the bubble sort algorithm on -89, -39, -62, 6, 4, -35, 18, -71, 66, 3 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-89, -39, -62, 6, 4, -35, 18, -71, 66, 3]

Pass 1:
  Compare -89 and -39
  No swap needed
  Compare -39 and -62
  Swap -39 and -62
  List after swap: [-89, -62, -39, 6, 4, -35, 18, -71, 66, 3]
  Compare -39 and 6
  No swap needed
  Compare 6 and 4
  Swap 6 and 4
  List after swap: [-89, -62, -39, 4, 6, -35, 18, -71, 66, 3]
  Compare 6 and -35
  Swap 6 and -35
  List after swap: [-89, -62, -39, 4, -35, 6, 18, -71, 66, 3]
  Compare 6 and 18
  No swap needed
  Compare 18 and -71
  Swap 18 and -71
  List after swap: [-89, -62, -39, 4, -35, 6, -71, 18, 66, 3]
  Compare 18 and 66
  No swap needed
  Compare 66 and 3
  Swap 66 and 3
  List after swap: [-89, -62, -39, 4, -35, 6, -71, 18, 3, 66]

Pass 2:
  Compare -89 and -62
  No swap needed
  Compare -62 and -39
  No swap needed
  Compare -39 and 4
  No swap needed
  Compare 4 and -35
  Swap 4 and -35
  List after swap: [-89, -62, -39, -35, 4, 6, -71, 18, 3, 66]
  Compare 4 and 6
  No swap needed
  Compare 6 and -71
  Swap 6 and -71
  List after swap: [-89, -62, -39, -35, 4, -71, 6, 18, 3, 66]
  Compare 6 and 18
  No swap needed
  Compare 18 and 3
  Swap 18 and 3
  List after swap: [-89, -62, -39, -35, 4, -71, 6, 3, 18, 66]

Pass 3:
  Compare -89 and -62
  No swap needed
  Compare -62 and -39
  No swap needed
  Compare -39 and -35
  No swap needed
  Compare -35 and 4
  No swap needed
  Compare 4 and -71
  Swap 4 and -71
  List after swap: [-89, -62, -39, -35, -71, 4, 6, 3, 18, 66]
  Compare 4 and 6
  No swap needed
  Compare 6 and 3
  Swap 6 and 3
  List after swap: [-89, -62, -39, -35, -71, 4, 3, 6, 18, 66]

Pass 4:
  Compare -89 and -62
  No swap needed
  Compare -62 and -39
  No swap needed
  Compare -39 and -35
  No swap needed
  Compare -35 and -71
  Swap -35 and -71
  List after swap: [-89, -62, -39, -71, -35, 4, 3, 6, 18, 66]
  Compare -35 and 4
  No swap needed
  Compare 4 and 3
  Swap 4 and 3
  List after swap: [-89, -62, -39, -71, -35, 3, 4, 6, 18, 66]

Pass 5:
  Compare -89 and -62
  No swap needed
  Compare -62 and -39
  No swap needed
  Compare -39 and -71
  Swap -39 and -71
  List after swap: [-89, -62, -71, -39, -35, 3, 4, 6, 18, 66]
  Compare -39 and -35
  No swap needed
  Compare -35 and 3
  No swap needed

Pass 6:
  Compare -89 and -62
  No swap needed
  Compare -62 and -71
  Swap -62 and -71
  List after swap: [-89, -71, -62, -39, -35, 3, 4, 6, 18, 66]
  Compare -62 and -39
  No swap needed
  Compare -39 and -35
  No swap needed

Pass 7:
  Compare -89 and -71
  No swap needed
  Compare -71 and -62
  No swap needed
  Compare -62 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -71, -62, -39, -35, 3, 4, 6, 18, 66]
</think>

<response>-89, -71, -62, -39, -35, 3, 4, 6, 18, 66</response>


input: Demonstrate how bubble sort orders the integers -62, -36, 35, -86 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-62, -36, 35, -86]

Pass 1:
  Compare -62 and -36
  No swap needed
  Compare -36 and 35
  No swap needed
  Compare 35 and -86
  Swap 35 and -86
  List after swap: [-62, -36, -86, 35]

Pass 2:
  Compare -62 and -36
  No swap needed
  Compare -36 and -86
  Swap -36 and -86
  List after swap: [-62, -86, -36, 35]

Pass 3:
  Compare -62 and -86
  Swap -62 and -86
  List after swap: [-86, -62, -36, 35]

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

Final sorted list: [-86, -62, -36, 35]
</think>

<response>-86, -62, -36, 35</response>


input: Arrange the numbers -77, -36, -98, 57, 12, -73, -59, -80, 73, 62 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-77, -36, -98, 57, 12, -73, -59, -80, 73, 62]

Pass 1:
  Compare -77 and -36
  No swap needed
  Compare -36 and -98
  Swap -36 and -98
  List after swap: [-77, -98, -36, 57, 12, -73, -59, -80, 73, 62]
  Compare -36 and 57
  No swap needed
  Compare 57 and 12
  Swap 57 and 12
  List after swap: [-77, -98, -36, 12, 57, -73, -59, -80, 73, 62]
  Compare 57 and -73
  Swap 57 and -73
  List after swap: [-77, -98, -36, 12, -73, 57, -59, -80, 73, 62]
  Compare 57 and -59
  Swap 57 and -59
  List after swap: [-77, -98, -36, 12, -73, -59, 57, -80, 73, 62]
  Compare 57 and -80
  Swap 57 and -80
  List after swap: [-77, -98, -36, 12, -73, -59, -80, 57, 73, 62]
  Compare 57 and 73
  No swap needed
  Compare 73 and 62
  Swap 73 and 62
  List after swap: [-77, -98, -36, 12, -73, -59, -80, 57, 62, 73]

Pass 2:
  Compare -77 and -98
  Swap -77 and -98
  List after swap: [-98, -77, -36, 12, -73, -59, -80, 57, 62, 73]
  Compare -77 and -36
  No swap needed
  Compare -36 and 12
  No swap needed
  Compare 12 and -73
  Swap 12 and -73
  List after swap: [-98, -77, -36, -73, 12, -59, -80, 57, 62, 73]
  Compare 12 and -59
  Swap 12 and -59
  List after swap: [-98, -77, -36, -73, -59, 12, -80, 57, 62, 73]
  Compare 12 and -80
  Swap 12 and -80
  List after swap: [-98, -77, -36, -73, -59, -80, 12, 57, 62, 73]
  Compare 12 and 57
  No swap needed
  Compare 57 and 62
  No swap needed

Pass 3:
  Compare -98 and -77
  No swap needed
  Compare -77 and -36
  No swap needed
  Compare -36 and -73
  Swap -36 and -73
  List after swap: [-98, -77, -73, -36, -59, -80, 12, 57, 62, 73]
  Compare -36 and -59
  Swap -36 and -59
  List after swap: [-98, -77, -73, -59, -36, -80, 12, 57, 62, 73]
  Compare -36 and -80
  Swap -36 and -80
  List after swap: [-98, -77, -73, -59, -80, -36, 12, 57, 62, 73]
  Compare -36 and 12
  No swap needed
  Compare 12 and 57
  No swap needed

Pass 4:
  Compare -98 and -77
  No swap needed
  Compare -77 and -73
  No swap needed
  Compare -73 and -59
  No swap needed
  Compare -59 and -80
  Swap -59 and -80
  List after swap: [-98, -77, -73, -80, -59, -36, 12, 57, 62, 73]
  Compare -59 and -36
  No swap needed
  Compare -36 and 12
  No swap needed

Pass 5:
  Compare -98 and -77
  No swap needed
  Compare -77 and -73
  No swap needed
  Compare -73 and -80
  Swap -73 and -80
  List after swap: [-98, -77, -80, -73, -59, -36, 12, 57, 62, 73]
  Compare -73 and -59
  No swap needed
  Compare -59 and -36
  No swap needed

Pass 6:
  Compare -98 and -77
  No swap needed
  Compare -77 and -80
  Swap -77 and -80
  List after swap: [-98, -80, -77, -73, -59, -36, 12, 57, 62, 73]
  Compare -77 and -73
  No swap needed
  Compare -73 and -59
  No swap needed

Pass 7:
  Compare -98 and -80
  No swap needed
  Compare -80 and -77
  No swap needed
  Compare -77 and -73
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -80, -77, -73, -59, -36, 12, 57, 62, 73]
</think>

<response>-98, -80, -77, -73, -59, -36, 12, 57, 62, 73</response>


input: Using the bubble sort method, sort 11, 90, -47, -87, 28 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [11, 90, -47, -87, 28]

Pass 1:
  Compare 11 and 90
  No swap needed
  Compare 90 and -47
  Swap 90 and -47
  List after swap: [11, -47, 90, -87, 28]
  Compare 90 and -87
  Swap 90 and -87
  List after swap: [11, -47, -87, 90, 28]
  Compare 90 and 28
  Swap 90 and 28
  List after swap: [11, -47, -87, 28, 90]

Pass 2:
  Compare 11 and -47
  Swap 11 and -47
  List after swap: [-47, 11, -87, 28, 90]
  Compare 11 and -87
  Swap 11 and -87
  List after swap: [-47, -87, 11, 28, 90]
  Compare 11 and 28
  No swap needed

Pass 3:
  Compare -47 and -87
  Swap -47 and -87
  List after swap: [-87, -47, 11, 28, 90]
  Compare -47 and 11
  No swap needed

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

Final sorted list: [-87, -47, 11, 28, 90]
</think>

<response>-87, -47, 11, 28, 90</response>


input: Sort the list -9, 14, -78, 21, -40, -3, 11, -54, 81, 32 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-9, 14, -78, 21, -40, -3, 11, -54, 81, 32]

Pass 1:
  Compare -9 and 14
  No swap needed
  Compare 14 and -78
  Swap 14 and -78
  List after swap: [-9, -78, 14, 21, -40, -3, 11, -54, 81, 32]
  Compare 14 and 21
  No swap needed
  Compare 21 and -40
  Swap 21 and -40
  List after swap: [-9, -78, 14, -40, 21, -3, 11, -54, 81, 32]
  Compare 21 and -3
  Swap 21 and -3
  List after swap: [-9, -78, 14, -40, -3, 21, 11, -54, 81, 32]
  Compare 21 and 11
  Swap 21 and 11
  List after swap: [-9, -78, 14, -40, -3, 11, 21, -54, 81, 32]
  Compare 21 and -54
  Swap 21 and -54
  List after swap: [-9, -78, 14, -40, -3, 11, -54, 21, 81, 32]
  Compare 21 and 81
  No swap needed
  Compare 81 and 32
  Swap 81 and 32
  List after swap: [-9, -78, 14, -40, -3, 11, -54, 21, 32, 81]

Pass 2:
  Compare -9 and -78
  Swap -9 and -78
  List after swap: [-78, -9, 14, -40, -3, 11, -54, 21, 32, 81]
  Compare -9 and 14
  No swap needed
  Compare 14 and -40
  Swap 14 and -40
  List after swap: [-78, -9, -40, 14, -3, 11, -54, 21, 32, 81]
  Compare 14 and -3
  Swap 14 and -3
  List after swap: [-78, -9, -40, -3, 14, 11, -54, 21, 32, 81]
  Compare 14 and 11
  Swap 14 and 11
  List after swap: [-78, -9, -40, -3, 11, 14, -54, 21, 32, 81]
  Compare 14 and -54
  Swap 14 and -54
  List after swap: [-78, -9, -40, -3, 11, -54, 14, 21, 32, 81]
  Compare 14 and 21
  No swap needed
  Compare 21 and 32
  No swap needed

Pass 3:
  Compare -78 and -9
  No swap needed
  Compare -9 and -40
  Swap -9 and -40
  List after swap: [-78, -40, -9, -3, 11, -54, 14, 21, 32, 81]
  Compare -9 and -3
  No swap needed
  Compare -3 and 11
  No swap needed
  Compare 11 and -54
  Swap 11 and -54
  List after swap: [-78, -40, -9, -3, -54, 11, 14, 21, 32, 81]
  Compare 11 and 14
  No swap needed
  Compare 14 and 21
  No swap needed

Pass 4:
  Compare -78 and -40
  No swap needed
  Compare -40 and -9
  No swap needed
  Compare -9 and -3
  No swap needed
  Compare -3 and -54
  Swap -3 and -54
  List after swap: [-78, -40, -9, -54, -3, 11, 14, 21, 32, 81]
  Compare -3 and 11
  No swap needed
  Compare 11 and 14
  No swap needed

Pass 5:
  Compare -78 and -40
  No swap needed
  Compare -40 and -9
  No swap needed
  Compare -9 and -54
  Swap -9 and -54
  List after swap: [-78, -40, -54, -9, -3, 11, 14, 21, 32, 81]
  Compare -9 and -3
  No swap needed
  Compare -3 and 11
  No swap needed

Pass 6:
  Compare -78 and -40
  No swap needed
  Compare -40 and -54
  Swap -40 and -54
  List after swap: [-78, -54, -40, -9, -3, 11, 14, 21, 32, 81]
  Compare -40 and -9
  No swap needed
  Compare -9 and -3
  No swap needed

Pass 7:
  Compare -78 and -54
  No swap needed
  Compare -54 and -40
  No swap needed
  Compare -40 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -54, -40, -9, -3, 11, 14, 21, 32, 81]
</think>

<response>-78, -54, -40, -9, -3, 11, 14, 21, 32, 81</response>


input: Sort these integers -88, 24, -65, 36, -44, 85, 66, 93, -1 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-88, 24, -65, 36, -44, 85, 66, 93, -1]

Pass 1:
  Compare -88 and 24
  No swap needed
  Compare 24 and -65
  Swap 24 and -65
  List after swap: [-88, -65, 24, 36, -44, 85, 66, 93, -1]
  Compare 24 and 36
  No swap needed
  Compare 36 and -44
  Swap 36 and -44
  List after swap: [-88, -65, 24, -44, 36, 85, 66, 93, -1]
  Compare 36 and 85
  No swap needed
  Compare 85 and 66
  Swap 85 and 66
  List after swap: [-88, -65, 24, -44, 36, 66, 85, 93, -1]
  Compare 85 and 93
  No swap needed
  Compare 93 and -1
  Swap 93 and -1
  List after swap: [-88, -65, 24, -44, 36, 66, 85, -1, 93]

Pass 2:
  Compare -88 and -65
  No swap needed
  Compare -65 and 24
  No swap needed
  Compare 24 and -44
  Swap 24 and -44
  List after swap: [-88, -65, -44, 24, 36, 66, 85, -1, 93]
  Compare 24 and 36
  No swap needed
  Compare 36 and 66
  No swap needed
  Compare 66 and 85
  No swap needed
  Compare 85 and -1
  Swap 85 and -1
  List after swap: [-88, -65, -44, 24, 36, 66, -1, 85, 93]

Pass 3:
  Compare -88 and -65
  No swap needed
  Compare -65 and -44
  No swap needed
  Compare -44 and 24
  No swap needed
  Compare 24 and 36
  No swap needed
  Compare 36 and 66
  No swap needed
  Compare 66 and -1
  Swap 66 and -1
  List after swap: [-88, -65, -44, 24, 36, -1, 66, 85, 93]

Pass 4:
  Compare -88 and -65
  No swap needed
  Compare -65 and -44
  No swap needed
  Compare -44 and 24
  No swap needed
  Compare 24 and 36
  No swap needed
  Compare 36 and -1
  Swap 36 and -1
  List after swap: [-88, -65, -44, 24, -1, 36, 66, 85, 93]

Pass 5:
  Compare -88 and -65
  No swap needed
  Compare -65 and -44
  No swap needed
  Compare -44 and 24
  No swap needed
  Compare 24 and -1
  Swap 24 and -1
  List after swap: [-88, -65, -44, -1, 24, 36, 66, 85, 93]

Pass 6:
  Compare -88 and -65
  No swap needed
  Compare -65 and -44
  No swap needed
  Compare -44 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -65, -44, -1, 24, 36, 66, 85, 93]
</think>

<response>-88, -65, -44, -1, 24, 36, 66, 85, 93</response>


input: Implement bubble sort on 19, 38, 99, 14, -27, 97, 58, -46, -10 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [19, 38, 99, 14, -27, 97, 58, -46, -10]

Pass 1:
  Compare 19 and 38
  No swap needed
  Compare 38 and 99
  No swap needed
  Compare 99 and 14
  Swap 99 and 14
  List after swap: [19, 38, 14, 99, -27, 97, 58, -46, -10]
  Compare 99 and -27
  Swap 99 and -27
  List after swap: [19, 38, 14, -27, 99, 97, 58, -46, -10]
  Compare 99 and 97
  Swap 99 and 97
  List after swap: [19, 38, 14, -27, 97, 99, 58, -46, -10]
  Compare 99 and 58
  Swap 99 and 58
  List after swap: [19, 38, 14, -27, 97, 58, 99, -46, -10]
  Compare 99 and -46
  Swap 99 and -46
  List after swap: [19, 38, 14, -27, 97, 58, -46, 99, -10]
  Compare 99 and -10
  Swap 99 and -10
  List after swap: [19, 38, 14, -27, 97, 58, -46, -10, 99]

Pass 2:
  Compare 19 and 38
  No swap needed
  Compare 38 and 14
  Swap 38 and 14
  List after swap: [19, 14, 38, -27, 97, 58, -46, -10, 99]
  Compare 38 and -27
  Swap 38 and -27
  List after swap: [19, 14, -27, 38, 97, 58, -46, -10, 99]
  Compare 38 and 97
  No swap needed
  Compare 97 and 58
  Swap 97 and 58
  List after swap: [19, 14, -27, 38, 58, 97, -46, -10, 99]
  Compare 97 and -46
  Swap 97 and -46
  List after swap: [19, 14, -27, 38, 58, -46, 97, -10, 99]
  Compare 97 and -10
  Swap 97 and -10
  List after swap: [19, 14, -27, 38, 58, -46, -10, 97, 99]

Pass 3:
  Compare 19 and 14
  Swap 19 and 14
  List after swap: [14, 19, -27, 38, 58, -46, -10, 97, 99]
  Compare 19 and -27
  Swap 19 and -27
  List after swap: [14, -27, 19, 38, 58, -46, -10, 97, 99]
  Compare 19 and 38
  No swap needed
  Compare 38 and 58
  No swap needed
  Compare 58 and -46
  Swap 58 and -46
  List after swap: [14, -27, 19, 38, -46, 58, -10, 97, 99]
  Compare 58 and -10
  Swap 58 and -10
  List after swap: [14, -27, 19, 38, -46, -10, 58, 97, 99]

Pass 4:
  Compare 14 and -27
  Swap 14 and -27
  List after swap: [-27, 14, 19, 38, -46, -10, 58, 97, 99]
  Compare 14 and 19
  No swap needed
  Compare 19 and 38
  No swap needed
  Compare 38 and -46
  Swap 38 and -46
  List after swap: [-27, 14, 19, -46, 38, -10, 58, 97, 99]
  Compare 38 and -10
  Swap 38 and -10
  List after swap: [-27, 14, 19, -46, -10, 38, 58, 97, 99]

Pass 5:
  Compare -27 and 14
  No swap needed
  Compare 14 and 19
  No swap needed
  Compare 19 and -46
  Swap 19 and -46
  List after swap: [-27, 14, -46, 19, -10, 38, 58, 97, 99]
  Compare 19 and -10
  Swap 19 and -10
  List after swap: [-27, 14, -46, -10, 19, 38, 58, 97, 99]

Pass 6:
  Compare -27 and 14
  No swap needed
  Compare 14 and -46
  Swap 14 and -46
  List after swap: [-27, -46, 14, -10, 19, 38, 58, 97, 99]
  Compare 14 and -10
  Swap 14 and -10
  List after swap: [-27, -46, -10, 14, 19, 38, 58, 97, 99]

Pass 7:
  Compare -27 and -46
  Swap -27 and -46
  List after swap: [-46, -27, -10, 14, 19, 38, 58, 97, 99]
  Compare -27 and -10
  No swap needed

Pass 8:
  Compare -46 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-46, -27, -10, 14, 19, 38, 58, 97, 99]
</think>

<response>-46, -27, -10, 14, 19, 38, 58, 97, 99</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -23, 35, -78, -45, 21, 74, -21, -71, -34.

output:
<think>
Initial list: [-23, 35, -78, -45, 21, 74, -21, -71, -34]

Pass 1:
  Compare -23 and 35
  No swap needed
  Compare 35 and -78
  Swap 35 and -78
  List after swap: [-23, -78, 35, -45, 21, 74, -21, -71, -34]
  Compare 35 and -45
  Swap 35 and -45
  List after swap: [-23, -78, -45, 35, 21, 74, -21, -71, -34]
  Compare 35 and 21
  Swap 35 and 21
  List after swap: [-23, -78, -45, 21, 35, 74, -21, -71, -34]
  Compare 35 and 74
  No swap needed
  Compare 74 and -21
  Swap 74 and -21
  List after swap: [-23, -78, -45, 21, 35, -21, 74, -71, -34]
  Compare 74 and -71
  Swap 74 and -71
  List after swap: [-23, -78, -45, 21, 35, -21, -71, 74, -34]
  Compare 74 and -34
  Swap 74 and -34
  List after swap: [-23, -78, -45, 21, 35, -21, -71, -34, 74]

Pass 2:
  Compare -23 and -78
  Swap -23 and -78
  List after swap: [-78, -23, -45, 21, 35, -21, -71, -34, 74]
  Compare -23 and -45
  Swap -23 and -45
  List after swap: [-78, -45, -23, 21, 35, -21, -71, -34, 74]
  Compare -23 and 21
  No swap needed
  Compare 21 and 35
  No swap needed
  Compare 35 and -21
  Swap 35 and -21
  List after swap: [-78, -45, -23, 21, -21, 35, -71, -34, 74]
  Compare 35 and -71
  Swap 35 and -71
  List after swap: [-78, -45, -23, 21, -21, -71, 35, -34, 74]
  Compare 35 and -34
  Swap 35 and -34
  List after swap: [-78, -45, -23, 21, -21, -71, -34, 35, 74]

Pass 3:
  Compare -78 and -45
  No swap needed
  Compare -45 and -23
  No swap needed
  Compare -23 and 21
  No swap needed
  Compare 21 and -21
  Swap 21 and -21
  List after swap: [-78, -45, -23, -21, 21, -71, -34, 35, 74]
  Compare 21 and -71
  Swap 21 and -71
  List after swap: [-78, -45, -23, -21, -71, 21, -34, 35, 74]
  Compare 21 and -34
  Swap 21 and -34
  List after swap: [-78, -45, -23, -21, -71, -34, 21, 35, 74]

Pass 4:
  Compare -78 and -45
  No swap needed
  Compare -45 and -23
  No swap needed
  Compare -23 and -21
  No swap needed
  Compare -21 and -71
  Swap -21 and -71
  List after swap: [-78, -45, -23, -71, -21, -34, 21, 35, 74]
  Compare -21 and -34
  Swap -21 and -34
  List after swap: [-78, -45, -23, -71, -34, -21, 21, 35, 74]

Pass 5:
  Compare -78 and -45
  No swap needed
  Compare -45 and -23
  No swap needed
  Compare -23 and -71
  Swap -23 and -71
  List after swap: [-78, -45, -71, -23, -34, -21, 21, 35, 74]
  Compare -23 and -34
  Swap -23 and -34
  List after swap: [-78, -45, -71, -34, -23, -21, 21, 35, 74]

Pass 6:
  Compare -78 and -45
  No swap needed
  Compare -45 and -71
  Swap -45 and -71
  List after swap: [-78, -71, -45, -34, -23, -21, 21, 35, 74]
  Compare -45 and -34
  No swap needed

Pass 7:
  Compare -78 and -71
  No swap needed
  Compare -71 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -71, -45, -34, -23, -21, 21, 35, 74]
</think>

<response>-78, -71, -45, -34, -23, -21, 21, 35, 74</response>


input: Arrange the numbers 6, -56, -85 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [6, -56, -85]

Pass 1:
  Compare 6 and -56
  Swap 6 and -56
  List after swap: [-56, 6, -85]
  Compare 6 and -85
  Swap 6 and -85
  List after swap: [-56, -85, 6]

Pass 2:
  Compare -56 and -85
  Swap -56 and -85
  List after swap: [-85, -56, 6]

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

Final sorted list: [-85, -56, 6]
</think>

<response>-85, -56, 6</response>


input: Using the bubble sort method, sort -55, 23, -57 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-55, 23, -57]

Pass 1:
  Compare -55 and 23
  No swap needed
  Compare 23 and -57
  Swap 23 and -57
  List after swap: [-55, -57, 23]

Pass 2:
  Compare -55 and -57
  Swap -55 and -57
  List after swap: [-57, -55, 23]

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

Final sorted list: [-57, -55, 23]
</think>

<response>-57, -55, 23</response>