input: Carry out the bubble sort algorithm on 7, -100, -1, -88, 23, -79, 69, 80 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [7, -100, -1, -88, 23, -79, 69, 80]

Pass 1:
  Compare 7 and -100
  Swap 7 and -100
  List after swap: [-100, 7, -1, -88, 23, -79, 69, 80]
  Compare 7 and -1
  Swap 7 and -1
  List after swap: [-100, -1, 7, -88, 23, -79, 69, 80]
  Compare 7 and -88
  Swap 7 and -88
  List after swap: [-100, -1, -88, 7, 23, -79, 69, 80]
  Compare 7 and 23
  No swap needed
  Compare 23 and -79
  Swap 23 and -79
  List after swap: [-100, -1, -88, 7, -79, 23, 69, 80]
  Compare 23 and 69
  No swap needed
  Compare 69 and 80
  No swap needed

Pass 2:
  Compare -100 and -1
  No swap needed
  Compare -1 and -88
  Swap -1 and -88
  List after swap: [-100, -88, -1, 7, -79, 23, 69, 80]
  Compare -1 and 7
  No swap needed
  Compare 7 and -79
  Swap 7 and -79
  List after swap: [-100, -88, -1, -79, 7, 23, 69, 80]
  Compare 7 and 23
  No swap needed
  Compare 23 and 69
  No swap needed

Pass 3:
  Compare -100 and -88
  No swap needed
  Compare -88 and -1
  No swap needed
  Compare -1 and -79
  Swap -1 and -79
  List after swap: [-100, -88, -79, -1, 7, 23, 69, 80]
  Compare -1 and 7
  No swap needed
  Compare 7 and 23
  No swap needed

Pass 4:
  Compare -100 and -88
  No swap needed
  Compare -88 and -79
  No swap needed
  Compare -79 and -1
  No swap needed
  Compare -1 and 7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -88, -79, -1, 7, 23, 69, 80]
</think>

<response>-100, -88, -79, -1, 7, 23, 69, 80</response>


input: Demonstrate how bubble sort orders the integers 38, -25, 88, -64, 2, -24, 1, -56, 9 in ascending sequence, showing all steps.

output:
<think>
Initial list: [38, -25, 88, -64, 2, -24, 1, -56, 9]

Pass 1:
  Compare 38 and -25
  Swap 38 and -25
  List after swap: [-25, 38, 88, -64, 2, -24, 1, -56, 9]
  Compare 38 and 88
  No swap needed
  Compare 88 and -64
  Swap 88 and -64
  List after swap: [-25, 38, -64, 88, 2, -24, 1, -56, 9]
  Compare 88 and 2
  Swap 88 and 2
  List after swap: [-25, 38, -64, 2, 88, -24, 1, -56, 9]
  Compare 88 and -24
  Swap 88 and -24
  List after swap: [-25, 38, -64, 2, -24, 88, 1, -56, 9]
  Compare 88 and 1
  Swap 88 and 1
  List after swap: [-25, 38, -64, 2, -24, 1, 88, -56, 9]
  Compare 88 and -56
  Swap 88 and -56
  List after swap: [-25, 38, -64, 2, -24, 1, -56, 88, 9]
  Compare 88 and 9
  Swap 88 and 9
  List after swap: [-25, 38, -64, 2, -24, 1, -56, 9, 88]

Pass 2:
  Compare -25 and 38
  No swap needed
  Compare 38 and -64
  Swap 38 and -64
  List after swap: [-25, -64, 38, 2, -24, 1, -56, 9, 88]
  Compare 38 and 2
  Swap 38 and 2
  List after swap: [-25, -64, 2, 38, -24, 1, -56, 9, 88]
  Compare 38 and -24
  Swap 38 and -24
  List after swap: [-25, -64, 2, -24, 38, 1, -56, 9, 88]
  Compare 38 and 1
  Swap 38 and 1
  List after swap: [-25, -64, 2, -24, 1, 38, -56, 9, 88]
  Compare 38 and -56
  Swap 38 and -56
  List after swap: [-25, -64, 2, -24, 1, -56, 38, 9, 88]
  Compare 38 and 9
  Swap 38 and 9
  List after swap: [-25, -64, 2, -24, 1, -56, 9, 38, 88]

Pass 3:
  Compare -25 and -64
  Swap -25 and -64
  List after swap: [-64, -25, 2, -24, 1, -56, 9, 38, 88]
  Compare -25 and 2
  No swap needed
  Compare 2 and -24
  Swap 2 and -24
  List after swap: [-64, -25, -24, 2, 1, -56, 9, 38, 88]
  Compare 2 and 1
  Swap 2 and 1
  List after swap: [-64, -25, -24, 1, 2, -56, 9, 38, 88]
  Compare 2 and -56
  Swap 2 and -56
  List after swap: [-64, -25, -24, 1, -56, 2, 9, 38, 88]
  Compare 2 and 9
  No swap needed

Pass 4:
  Compare -64 and -25
  No swap needed
  Compare -25 and -24
  No swap needed
  Compare -24 and 1
  No swap needed
  Compare 1 and -56
  Swap 1 and -56
  List after swap: [-64, -25, -24, -56, 1, 2, 9, 38, 88]
  Compare 1 and 2
  No swap needed

Pass 5:
  Compare -64 and -25
  No swap needed
  Compare -25 and -24
  No swap needed
  Compare -24 and -56
  Swap -24 and -56
  List after swap: [-64, -25, -56, -24, 1, 2, 9, 38, 88]
  Compare -24 and 1
  No swap needed

Pass 6:
  Compare -64 and -25
  No swap needed
  Compare -25 and -56
  Swap -25 and -56
  List after swap: [-64, -56, -25, -24, 1, 2, 9, 38, 88]
  Compare -25 and -24
  No swap needed

Pass 7:
  Compare -64 and -56
  No swap needed
  Compare -56 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -56, -25, -24, 1, 2, 9, 38, 88]
</think>

<response>-64, -56, -25, -24, 1, 2, 9, 38, 88</response>


input: Sort these integers -4, 8, -51, 89 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-4, 8, -51, 89]

Pass 1:
  Compare -4 and 8
  No swap needed
  Compare 8 and -51
  Swap 8 and -51
  List after swap: [-4, -51, 8, 89]
  Compare 8 and 89
  No swap needed

Pass 2:
  Compare -4 and -51
  Swap -4 and -51
  List after swap: [-51, -4, 8, 89]
  Compare -4 and 8
  No swap needed

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

Final sorted list: [-51, -4, 8, 89]
</think>

<response>-51, -4, 8, 89</response>


input: Sort these integers 43, -51 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [43, -51]

Pass 1:
  Compare 43 and -51
  Swap 43 and -51
  List after swap: [-51, 43]

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

Final sorted list: [-51, 43]
</think>

<response>-51, 43</response>


input: Sort the list -31, -64, -44, -90 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-31, -64, -44, -90]

Pass 1:
  Compare -31 and -64
  Swap -31 and -64
  List after swap: [-64, -31, -44, -90]
  Compare -31 and -44
  Swap -31 and -44
  List after swap: [-64, -44, -31, -90]
  Compare -31 and -90
  Swap -31 and -90
  List after swap: [-64, -44, -90, -31]

Pass 2:
  Compare -64 and -44
  No swap needed
  Compare -44 and -90
  Swap -44 and -90
  List after swap: [-64, -90, -44, -31]

Pass 3:
  Compare -64 and -90
  Swap -64 and -90
  List after swap: [-90, -64, -44, -31]

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

Final sorted list: [-90, -64, -44, -31]
</think>

<response>-90, -64, -44, -31</response>


input: Execute bubble sort to sort 79, -28, 54 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [79, -28, 54]

Pass 1:
  Compare 79 and -28
  Swap 79 and -28
  List after swap: [-28, 79, 54]
  Compare 79 and 54
  Swap 79 and 54
  List after swap: [-28, 54, 79]

Pass 2:
  Compare -28 and 54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-28, 54, 79]
</think>

<response>-28, 54, 79</response>


input: Use the bubble sort technique to reorder -8, -24, -65, -78, -86, -23 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-8, -24, -65, -78, -86, -23]

Pass 1:
  Compare -8 and -24
  Swap -8 and -24
  List after swap: [-24, -8, -65, -78, -86, -23]
  Compare -8 and -65
  Swap -8 and -65
  List after swap: [-24, -65, -8, -78, -86, -23]
  Compare -8 and -78
  Swap -8 and -78
  List after swap: [-24, -65, -78, -8, -86, -23]
  Compare -8 and -86
  Swap -8 and -86
  List after swap: [-24, -65, -78, -86, -8, -23]
  Compare -8 and -23
  Swap -8 and -23
  List after swap: [-24, -65, -78, -86, -23, -8]

Pass 2:
  Compare -24 and -65
  Swap -24 and -65
  List after swap: [-65, -24, -78, -86, -23, -8]
  Compare -24 and -78
  Swap -24 and -78
  List after swap: [-65, -78, -24, -86, -23, -8]
  Compare -24 and -86
  Swap -24 and -86
  List after swap: [-65, -78, -86, -24, -23, -8]
  Compare -24 and -23
  No swap needed

Pass 3:
  Compare -65 and -78
  Swap -65 and -78
  List after swap: [-78, -65, -86, -24, -23, -8]
  Compare -65 and -86
  Swap -65 and -86
  List after swap: [-78, -86, -65, -24, -23, -8]
  Compare -65 and -24
  No swap needed

Pass 4:
  Compare -78 and -86
  Swap -78 and -86
  List after swap: [-86, -78, -65, -24, -23, -8]
  Compare -78 and -65
  No swap needed

Pass 5:
  Compare -86 and -78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -78, -65, -24, -23, -8]
</think>

<response>-86, -78, -65, -24, -23, -8</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 30, 34, 82, -29, -91, 29, 31, 12, 53, 83.

output:
<think>
Initial list: [30, 34, 82, -29, -91, 29, 31, 12, 53, 83]

Pass 1:
  Compare 30 and 34
  No swap needed
  Compare 34 and 82
  No swap needed
  Compare 82 and -29
  Swap 82 and -29
  List after swap: [30, 34, -29, 82, -91, 29, 31, 12, 53, 83]
  Compare 82 and -91
  Swap 82 and -91
  List after swap: [30, 34, -29, -91, 82, 29, 31, 12, 53, 83]
  Compare 82 and 29
  Swap 82 and 29
  List after swap: [30, 34, -29, -91, 29, 82, 31, 12, 53, 83]
  Compare 82 and 31
  Swap 82 and 31
  List after swap: [30, 34, -29, -91, 29, 31, 82, 12, 53, 83]
  Compare 82 and 12
  Swap 82 and 12
  List after swap: [30, 34, -29, -91, 29, 31, 12, 82, 53, 83]
  Compare 82 and 53
  Swap 82 and 53
  List after swap: [30, 34, -29, -91, 29, 31, 12, 53, 82, 83]
  Compare 82 and 83
  No swap needed

Pass 2:
  Compare 30 and 34
  No swap needed
  Compare 34 and -29
  Swap 34 and -29
  List after swap: [30, -29, 34, -91, 29, 31, 12, 53, 82, 83]
  Compare 34 and -91
  Swap 34 and -91
  List after swap: [30, -29, -91, 34, 29, 31, 12, 53, 82, 83]
  Compare 34 and 29
  Swap 34 and 29
  List after swap: [30, -29, -91, 29, 34, 31, 12, 53, 82, 83]
  Compare 34 and 31
  Swap 34 and 31
  List after swap: [30, -29, -91, 29, 31, 34, 12, 53, 82, 83]
  Compare 34 and 12
  Swap 34 and 12
  List after swap: [30, -29, -91, 29, 31, 12, 34, 53, 82, 83]
  Compare 34 and 53
  No swap needed
  Compare 53 and 82
  No swap needed

Pass 3:
  Compare 30 and -29
  Swap 30 and -29
  List after swap: [-29, 30, -91, 29, 31, 12, 34, 53, 82, 83]
  Compare 30 and -91
  Swap 30 and -91
  List after swap: [-29, -91, 30, 29, 31, 12, 34, 53, 82, 83]
  Compare 30 and 29
  Swap 30 and 29
  List after swap: [-29, -91, 29, 30, 31, 12, 34, 53, 82, 83]
  Compare 30 and 31
  No swap needed
  Compare 31 and 12
  Swap 31 and 12
  List after swap: [-29, -91, 29, 30, 12, 31, 34, 53, 82, 83]
  Compare 31 and 34
  No swap needed
  Compare 34 and 53
  No swap needed

Pass 4:
  Compare -29 and -91
  Swap -29 and -91
  List after swap: [-91, -29, 29, 30, 12, 31, 34, 53, 82, 83]
  Compare -29 and 29
  No swap needed
  Compare 29 and 30
  No swap needed
  Compare 30 and 12
  Swap 30 and 12
  List after swap: [-91, -29, 29, 12, 30, 31, 34, 53, 82, 83]
  Compare 30 and 31
  No swap needed
  Compare 31 and 34
  No swap needed

Pass 5:
  Compare -91 and -29
  No swap needed
  Compare -29 and 29
  No swap needed
  Compare 29 and 12
  Swap 29 and 12
  List after swap: [-91, -29, 12, 29, 30, 31, 34, 53, 82, 83]
  Compare 29 and 30
  No swap needed
  Compare 30 and 31
  No swap needed

Pass 6:
  Compare -91 and -29
  No swap needed
  Compare -29 and 12
  No swap needed
  Compare 12 and 29
  No swap needed
  Compare 29 and 30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -29, 12, 29, 30, 31, 34, 53, 82, 83]
</think>

<response>-91, -29, 12, 29, 30, 31, 34, 53, 82, 83</response>


input: Perform a bubble sort on the integers 71, 27, 55, 76, 33, -41, -12, 21, -14, 72, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [71, 27, 55, 76, 33, -41, -12, 21, -14, 72]

Pass 1:
  Compare 71 and 27
  Swap 71 and 27
  List after swap: [27, 71, 55, 76, 33, -41, -12, 21, -14, 72]
  Compare 71 and 55
  Swap 71 and 55
  List after swap: [27, 55, 71, 76, 33, -41, -12, 21, -14, 72]
  Compare 71 and 76
  No swap needed
  Compare 76 and 33
  Swap 76 and 33
  List after swap: [27, 55, 71, 33, 76, -41, -12, 21, -14, 72]
  Compare 76 and -41
  Swap 76 and -41
  List after swap: [27, 55, 71, 33, -41, 76, -12, 21, -14, 72]
  Compare 76 and -12
  Swap 76 and -12
  List after swap: [27, 55, 71, 33, -41, -12, 76, 21, -14, 72]
  Compare 76 and 21
  Swap 76 and 21
  List after swap: [27, 55, 71, 33, -41, -12, 21, 76, -14, 72]
  Compare 76 and -14
  Swap 76 and -14
  List after swap: [27, 55, 71, 33, -41, -12, 21, -14, 76, 72]
  Compare 76 and 72
  Swap 76 and 72
  List after swap: [27, 55, 71, 33, -41, -12, 21, -14, 72, 76]

Pass 2:
  Compare 27 and 55
  No swap needed
  Compare 55 and 71
  No swap needed
  Compare 71 and 33
  Swap 71 and 33
  List after swap: [27, 55, 33, 71, -41, -12, 21, -14, 72, 76]
  Compare 71 and -41
  Swap 71 and -41
  List after swap: [27, 55, 33, -41, 71, -12, 21, -14, 72, 76]
  Compare 71 and -12
  Swap 71 and -12
  List after swap: [27, 55, 33, -41, -12, 71, 21, -14, 72, 76]
  Compare 71 and 21
  Swap 71 and 21
  List after swap: [27, 55, 33, -41, -12, 21, 71, -14, 72, 76]
  Compare 71 and -14
  Swap 71 and -14
  List after swap: [27, 55, 33, -41, -12, 21, -14, 71, 72, 76]
  Compare 71 and 72
  No swap needed

Pass 3:
  Compare 27 and 55
  No swap needed
  Compare 55 and 33
  Swap 55 and 33
  List after swap: [27, 33, 55, -41, -12, 21, -14, 71, 72, 76]
  Compare 55 and -41
  Swap 55 and -41
  List after swap: [27, 33, -41, 55, -12, 21, -14, 71, 72, 76]
  Compare 55 and -12
  Swap 55 and -12
  List after swap: [27, 33, -41, -12, 55, 21, -14, 71, 72, 76]
  Compare 55 and 21
  Swap 55 and 21
  List after swap: [27, 33, -41, -12, 21, 55, -14, 71, 72, 76]
  Compare 55 and -14
  Swap 55 and -14
  List after swap: [27, 33, -41, -12, 21, -14, 55, 71, 72, 76]
  Compare 55 and 71
  No swap needed

Pass 4:
  Compare 27 and 33
  No swap needed
  Compare 33 and -41
  Swap 33 and -41
  List after swap: [27, -41, 33, -12, 21, -14, 55, 71, 72, 76]
  Compare 33 and -12
  Swap 33 and -12
  List after swap: [27, -41, -12, 33, 21, -14, 55, 71, 72, 76]
  Compare 33 and 21
  Swap 33 and 21
  List after swap: [27, -41, -12, 21, 33, -14, 55, 71, 72, 76]
  Compare 33 and -14
  Swap 33 and -14
  List after swap: [27, -41, -12, 21, -14, 33, 55, 71, 72, 76]
  Compare 33 and 55
  No swap needed

Pass 5:
  Compare 27 and -41
  Swap 27 and -41
  List after swap: [-41, 27, -12, 21, -14, 33, 55, 71, 72, 76]
  Compare 27 and -12
  Swap 27 and -12
  List after swap: [-41, -12, 27, 21, -14, 33, 55, 71, 72, 76]
  Compare 27 and 21
  Swap 27 and 21
  List after swap: [-41, -12, 21, 27, -14, 33, 55, 71, 72, 76]
  Compare 27 and -14
  Swap 27 and -14
  List after swap: [-41, -12, 21, -14, 27, 33, 55, 71, 72, 76]
  Compare 27 and 33
  No swap needed

Pass 6:
  Compare -41 and -12
  No swap needed
  Compare -12 and 21
  No swap needed
  Compare 21 and -14
  Swap 21 and -14
  List after swap: [-41, -12, -14, 21, 27, 33, 55, 71, 72, 76]
  Compare 21 and 27
  No swap needed

Pass 7:
  Compare -41 and -12
  No swap needed
  Compare -12 and -14
  Swap -12 and -14
  List after swap: [-41, -14, -12, 21, 27, 33, 55, 71, 72, 76]
  Compare -12 and 21
  No swap needed

Pass 8:
  Compare -41 and -14
  No swap needed
  Compare -14 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-41, -14, -12, 21, 27, 33, 55, 71, 72, 76]
</think>

<response>-41, -14, -12, 21, 27, 33, 55, 71, 72, 76</response>


input: Sort these integers 18, -65, -7, -85, -53, 22, 4, -75, -47, -57 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [18, -65, -7, -85, -53, 22, 4, -75, -47, -57]

Pass 1:
  Compare 18 and -65
  Swap 18 and -65
  List after swap: [-65, 18, -7, -85, -53, 22, 4, -75, -47, -57]
  Compare 18 and -7
  Swap 18 and -7
  List after swap: [-65, -7, 18, -85, -53, 22, 4, -75, -47, -57]
  Compare 18 and -85
  Swap 18 and -85
  List after swap: [-65, -7, -85, 18, -53, 22, 4, -75, -47, -57]
  Compare 18 and -53
  Swap 18 and -53
  List after swap: [-65, -7, -85, -53, 18, 22, 4, -75, -47, -57]
  Compare 18 and 22
  No swap needed
  Compare 22 and 4
  Swap 22 and 4
  List after swap: [-65, -7, -85, -53, 18, 4, 22, -75, -47, -57]
  Compare 22 and -75
  Swap 22 and -75
  List after swap: [-65, -7, -85, -53, 18, 4, -75, 22, -47, -57]
  Compare 22 and -47
  Swap 22 and -47
  List after swap: [-65, -7, -85, -53, 18, 4, -75, -47, 22, -57]
  Compare 22 and -57
  Swap 22 and -57
  List after swap: [-65, -7, -85, -53, 18, 4, -75, -47, -57, 22]

Pass 2:
  Compare -65 and -7
  No swap needed
  Compare -7 and -85
  Swap -7 and -85
  List after swap: [-65, -85, -7, -53, 18, 4, -75, -47, -57, 22]
  Compare -7 and -53
  Swap -7 and -53
  List after swap: [-65, -85, -53, -7, 18, 4, -75, -47, -57, 22]
  Compare -7 and 18
  No swap needed
  Compare 18 and 4
  Swap 18 and 4
  List after swap: [-65, -85, -53, -7, 4, 18, -75, -47, -57, 22]
  Compare 18 and -75
  Swap 18 and -75
  List after swap: [-65, -85, -53, -7, 4, -75, 18, -47, -57, 22]
  Compare 18 and -47
  Swap 18 and -47
  List after swap: [-65, -85, -53, -7, 4, -75, -47, 18, -57, 22]
  Compare 18 and -57
  Swap 18 and -57
  List after swap: [-65, -85, -53, -7, 4, -75, -47, -57, 18, 22]

Pass 3:
  Compare -65 and -85
  Swap -65 and -85
  List after swap: [-85, -65, -53, -7, 4, -75, -47, -57, 18, 22]
  Compare -65 and -53
  No swap needed
  Compare -53 and -7
  No swap needed
  Compare -7 and 4
  No swap needed
  Compare 4 and -75
  Swap 4 and -75
  List after swap: [-85, -65, -53, -7, -75, 4, -47, -57, 18, 22]
  Compare 4 and -47
  Swap 4 and -47
  List after swap: [-85, -65, -53, -7, -75, -47, 4, -57, 18, 22]
  Compare 4 and -57
  Swap 4 and -57
  List after swap: [-85, -65, -53, -7, -75, -47, -57, 4, 18, 22]

Pass 4:
  Compare -85 and -65
  No swap needed
  Compare -65 and -53
  No swap needed
  Compare -53 and -7
  No swap needed
  Compare -7 and -75
  Swap -7 and -75
  List after swap: [-85, -65, -53, -75, -7, -47, -57, 4, 18, 22]
  Compare -7 and -47
  Swap -7 and -47
  List after swap: [-85, -65, -53, -75, -47, -7, -57, 4, 18, 22]
  Compare -7 and -57
  Swap -7 and -57
  List after swap: [-85, -65, -53, -75, -47, -57, -7, 4, 18, 22]

Pass 5:
  Compare -85 and -65
  No swap needed
  Compare -65 and -53
  No swap needed
  Compare -53 and -75
  Swap -53 and -75
  List after swap: [-85, -65, -75, -53, -47, -57, -7, 4, 18, 22]
  Compare -53 and -47
  No swap needed
  Compare -47 and -57
  Swap -47 and -57
  List after swap: [-85, -65, -75, -53, -57, -47, -7, 4, 18, 22]

Pass 6:
  Compare -85 and -65
  No swap needed
  Compare -65 and -75
  Swap -65 and -75
  List after swap: [-85, -75, -65, -53, -57, -47, -7, 4, 18, 22]
  Compare -65 and -53
  No swap needed
  Compare -53 and -57
  Swap -53 and -57
  List after swap: [-85, -75, -65, -57, -53, -47, -7, 4, 18, 22]

Pass 7:
  Compare -85 and -75
  No swap needed
  Compare -75 and -65
  No swap needed
  Compare -65 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -75, -65, -57, -53, -47, -7, 4, 18, 22]
</think>

<response>-85, -75, -65, -57, -53, -47, -7, 4, 18, 22</response>


input: Using the bubble sort method, sort -37, 79, -25 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-37, 79, -25]

Pass 1:
  Compare -37 and 79
  No swap needed
  Compare 79 and -25
  Swap 79 and -25
  List after swap: [-37, -25, 79]

Pass 2:
  Compare -37 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-37, -25, 79]
</think>

<response>-37, -25, 79</response>


input: Carry out the bubble sort algorithm on -31, 31 to arrange them from smallest to largest, documenting each step.

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

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

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

<response>-31, 31</response>


input: Arrange the numbers -25, 81, -64 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-25, 81, -64]

Pass 1:
  Compare -25 and 81
  No swap needed
  Compare 81 and -64
  Swap 81 and -64
  List after swap: [-25, -64, 81]

Pass 2:
  Compare -25 and -64
  Swap -25 and -64
  List after swap: [-64, -25, 81]

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

Final sorted list: [-64, -25, 81]
</think>

<response>-64, -25, 81</response>


input: Using the bubble sort method, sort -18, 97, -76, 61, 13, -88, 69, 81, 87 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-18, 97, -76, 61, 13, -88, 69, 81, 87]

Pass 1:
  Compare -18 and 97
  No swap needed
  Compare 97 and -76
  Swap 97 and -76
  List after swap: [-18, -76, 97, 61, 13, -88, 69, 81, 87]
  Compare 97 and 61
  Swap 97 and 61
  List after swap: [-18, -76, 61, 97, 13, -88, 69, 81, 87]
  Compare 97 and 13
  Swap 97 and 13
  List after swap: [-18, -76, 61, 13, 97, -88, 69, 81, 87]
  Compare 97 and -88
  Swap 97 and -88
  List after swap: [-18, -76, 61, 13, -88, 97, 69, 81, 87]
  Compare 97 and 69
  Swap 97 and 69
  List after swap: [-18, -76, 61, 13, -88, 69, 97, 81, 87]
  Compare 97 and 81
  Swap 97 and 81
  List after swap: [-18, -76, 61, 13, -88, 69, 81, 97, 87]
  Compare 97 and 87
  Swap 97 and 87
  List after swap: [-18, -76, 61, 13, -88, 69, 81, 87, 97]

Pass 2:
  Compare -18 and -76
  Swap -18 and -76
  List after swap: [-76, -18, 61, 13, -88, 69, 81, 87, 97]
  Compare -18 and 61
  No swap needed
  Compare 61 and 13
  Swap 61 and 13
  List after swap: [-76, -18, 13, 61, -88, 69, 81, 87, 97]
  Compare 61 and -88
  Swap 61 and -88
  List after swap: [-76, -18, 13, -88, 61, 69, 81, 87, 97]
  Compare 61 and 69
  No swap needed
  Compare 69 and 81
  No swap needed
  Compare 81 and 87
  No swap needed

Pass 3:
  Compare -76 and -18
  No swap needed
  Compare -18 and 13
  No swap needed
  Compare 13 and -88
  Swap 13 and -88
  List after swap: [-76, -18, -88, 13, 61, 69, 81, 87, 97]
  Compare 13 and 61
  No swap needed
  Compare 61 and 69
  No swap needed
  Compare 69 and 81
  No swap needed

Pass 4:
  Compare -76 and -18
  No swap needed
  Compare -18 and -88
  Swap -18 and -88
  List after swap: [-76, -88, -18, 13, 61, 69, 81, 87, 97]
  Compare -18 and 13
  No swap needed
  Compare 13 and 61
  No swap needed
  Compare 61 and 69
  No swap needed

Pass 5:
  Compare -76 and -88
  Swap -76 and -88
  List after swap: [-88, -76, -18, 13, 61, 69, 81, 87, 97]
  Compare -76 and -18
  No swap needed
  Compare -18 and 13
  No swap needed
  Compare 13 and 61
  No swap needed

Pass 6:
  Compare -88 and -76
  No swap needed
  Compare -76 and -18
  No swap needed
  Compare -18 and 13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -76, -18, 13, 61, 69, 81, 87, 97]
</think>

<response>-88, -76, -18, 13, 61, 69, 81, 87, 97</response>


input: Use the bubble sort technique to reorder 68, -96, 21 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [68, -96, 21]

Pass 1:
  Compare 68 and -96
  Swap 68 and -96
  List after swap: [-96, 68, 21]
  Compare 68 and 21
  Swap 68 and 21
  List after swap: [-96, 21, 68]

Pass 2:
  Compare -96 and 21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, 21, 68]
</think>

<response>-96, 21, 68</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 8, -59, -15, -22, -72, 77, 2, -86, 98, 53.

output:
<think>
Initial list: [8, -59, -15, -22, -72, 77, 2, -86, 98, 53]

Pass 1:
  Compare 8 and -59
  Swap 8 and -59
  List after swap: [-59, 8, -15, -22, -72, 77, 2, -86, 98, 53]
  Compare 8 and -15
  Swap 8 and -15
  List after swap: [-59, -15, 8, -22, -72, 77, 2, -86, 98, 53]
  Compare 8 and -22
  Swap 8 and -22
  List after swap: [-59, -15, -22, 8, -72, 77, 2, -86, 98, 53]
  Compare 8 and -72
  Swap 8 and -72
  List after swap: [-59, -15, -22, -72, 8, 77, 2, -86, 98, 53]
  Compare 8 and 77
  No swap needed
  Compare 77 and 2
  Swap 77 and 2
  List after swap: [-59, -15, -22, -72, 8, 2, 77, -86, 98, 53]
  Compare 77 and -86
  Swap 77 and -86
  List after swap: [-59, -15, -22, -72, 8, 2, -86, 77, 98, 53]
  Compare 77 and 98
  No swap needed
  Compare 98 and 53
  Swap 98 and 53
  List after swap: [-59, -15, -22, -72, 8, 2, -86, 77, 53, 98]

Pass 2:
  Compare -59 and -15
  No swap needed
  Compare -15 and -22
  Swap -15 and -22
  List after swap: [-59, -22, -15, -72, 8, 2, -86, 77, 53, 98]
  Compare -15 and -72
  Swap -15 and -72
  List after swap: [-59, -22, -72, -15, 8, 2, -86, 77, 53, 98]
  Compare -15 and 8
  No swap needed
  Compare 8 and 2
  Swap 8 and 2
  List after swap: [-59, -22, -72, -15, 2, 8, -86, 77, 53, 98]
  Compare 8 and -86
  Swap 8 and -86
  List after swap: [-59, -22, -72, -15, 2, -86, 8, 77, 53, 98]
  Compare 8 and 77
  No swap needed
  Compare 77 and 53
  Swap 77 and 53
  List after swap: [-59, -22, -72, -15, 2, -86, 8, 53, 77, 98]

Pass 3:
  Compare -59 and -22
  No swap needed
  Compare -22 and -72
  Swap -22 and -72
  List after swap: [-59, -72, -22, -15, 2, -86, 8, 53, 77, 98]
  Compare -22 and -15
  No swap needed
  Compare -15 and 2
  No swap needed
  Compare 2 and -86
  Swap 2 and -86
  List after swap: [-59, -72, -22, -15, -86, 2, 8, 53, 77, 98]
  Compare 2 and 8
  No swap needed
  Compare 8 and 53
  No swap needed

Pass 4:
  Compare -59 and -72
  Swap -59 and -72
  List after swap: [-72, -59, -22, -15, -86, 2, 8, 53, 77, 98]
  Compare -59 and -22
  No swap needed
  Compare -22 and -15
  No swap needed
  Compare -15 and -86
  Swap -15 and -86
  List after swap: [-72, -59, -22, -86, -15, 2, 8, 53, 77, 98]
  Compare -15 and 2
  No swap needed
  Compare 2 and 8
  No swap needed

Pass 5:
  Compare -72 and -59
  No swap needed
  Compare -59 and -22
  No swap needed
  Compare -22 and -86
  Swap -22 and -86
  List after swap: [-72, -59, -86, -22, -15, 2, 8, 53, 77, 98]
  Compare -22 and -15
  No swap needed
  Compare -15 and 2
  No swap needed

Pass 6:
  Compare -72 and -59
  No swap needed
  Compare -59 and -86
  Swap -59 and -86
  List after swap: [-72, -86, -59, -22, -15, 2, 8, 53, 77, 98]
  Compare -59 and -22
  No swap needed
  Compare -22 and -15
  No swap needed

Pass 7:
  Compare -72 and -86
  Swap -72 and -86
  List after swap: [-86, -72, -59, -22, -15, 2, 8, 53, 77, 98]
  Compare -72 and -59
  No swap needed
  Compare -59 and -22
  No swap needed

Pass 8:
  Compare -86 and -72
  No swap needed
  Compare -72 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -72, -59, -22, -15, 2, 8, 53, 77, 98]
</think>

<response>-86, -72, -59, -22, -15, 2, 8, 53, 77, 98</response>


input: Execute bubble sort to sort 14, 46, -8, -45, 39, 12 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [14, 46, -8, -45, 39, 12]

Pass 1:
  Compare 14 and 46
  No swap needed
  Compare 46 and -8
  Swap 46 and -8
  List after swap: [14, -8, 46, -45, 39, 12]
  Compare 46 and -45
  Swap 46 and -45
  List after swap: [14, -8, -45, 46, 39, 12]
  Compare 46 and 39
  Swap 46 and 39
  List after swap: [14, -8, -45, 39, 46, 12]
  Compare 46 and 12
  Swap 46 and 12
  List after swap: [14, -8, -45, 39, 12, 46]

Pass 2:
  Compare 14 and -8
  Swap 14 and -8
  List after swap: [-8, 14, -45, 39, 12, 46]
  Compare 14 and -45
  Swap 14 and -45
  List after swap: [-8, -45, 14, 39, 12, 46]
  Compare 14 and 39
  No swap needed
  Compare 39 and 12
  Swap 39 and 12
  List after swap: [-8, -45, 14, 12, 39, 46]

Pass 3:
  Compare -8 and -45
  Swap -8 and -45
  List after swap: [-45, -8, 14, 12, 39, 46]
  Compare -8 and 14
  No swap needed
  Compare 14 and 12
  Swap 14 and 12
  List after swap: [-45, -8, 12, 14, 39, 46]

Pass 4:
  Compare -45 and -8
  No swap needed
  Compare -8 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-45, -8, 12, 14, 39, 46]
</think>

<response>-45, -8, 12, 14, 39, 46</response>


input: Arrange the numbers 6, -33, -83, 47, 95, 43, -94, 68, -37 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [6, -33, -83, 47, 95, 43, -94, 68, -37]

Pass 1:
  Compare 6 and -33
  Swap 6 and -33
  List after swap: [-33, 6, -83, 47, 95, 43, -94, 68, -37]
  Compare 6 and -83
  Swap 6 and -83
  List after swap: [-33, -83, 6, 47, 95, 43, -94, 68, -37]
  Compare 6 and 47
  No swap needed
  Compare 47 and 95
  No swap needed
  Compare 95 and 43
  Swap 95 and 43
  List after swap: [-33, -83, 6, 47, 43, 95, -94, 68, -37]
  Compare 95 and -94
  Swap 95 and -94
  List after swap: [-33, -83, 6, 47, 43, -94, 95, 68, -37]
  Compare 95 and 68
  Swap 95 and 68
  List after swap: [-33, -83, 6, 47, 43, -94, 68, 95, -37]
  Compare 95 and -37
  Swap 95 and -37
  List after swap: [-33, -83, 6, 47, 43, -94, 68, -37, 95]

Pass 2:
  Compare -33 and -83
  Swap -33 and -83
  List after swap: [-83, -33, 6, 47, 43, -94, 68, -37, 95]
  Compare -33 and 6
  No swap needed
  Compare 6 and 47
  No swap needed
  Compare 47 and 43
  Swap 47 and 43
  List after swap: [-83, -33, 6, 43, 47, -94, 68, -37, 95]
  Compare 47 and -94
  Swap 47 and -94
  List after swap: [-83, -33, 6, 43, -94, 47, 68, -37, 95]
  Compare 47 and 68
  No swap needed
  Compare 68 and -37
  Swap 68 and -37
  List after swap: [-83, -33, 6, 43, -94, 47, -37, 68, 95]

Pass 3:
  Compare -83 and -33
  No swap needed
  Compare -33 and 6
  No swap needed
  Compare 6 and 43
  No swap needed
  Compare 43 and -94
  Swap 43 and -94
  List after swap: [-83, -33, 6, -94, 43, 47, -37, 68, 95]
  Compare 43 and 47
  No swap needed
  Compare 47 and -37
  Swap 47 and -37
  List after swap: [-83, -33, 6, -94, 43, -37, 47, 68, 95]

Pass 4:
  Compare -83 and -33
  No swap needed
  Compare -33 and 6
  No swap needed
  Compare 6 and -94
  Swap 6 and -94
  List after swap: [-83, -33, -94, 6, 43, -37, 47, 68, 95]
  Compare 6 and 43
  No swap needed
  Compare 43 and -37
  Swap 43 and -37
  List after swap: [-83, -33, -94, 6, -37, 43, 47, 68, 95]

Pass 5:
  Compare -83 and -33
  No swap needed
  Compare -33 and -94
  Swap -33 and -94
  List after swap: [-83, -94, -33, 6, -37, 43, 47, 68, 95]
  Compare -33 and 6
  No swap needed
  Compare 6 and -37
  Swap 6 and -37
  List after swap: [-83, -94, -33, -37, 6, 43, 47, 68, 95]

Pass 6:
  Compare -83 and -94
  Swap -83 and -94
  List after swap: [-94, -83, -33, -37, 6, 43, 47, 68, 95]
  Compare -83 and -33
  No swap needed
  Compare -33 and -37
  Swap -33 and -37
  List after swap: [-94, -83, -37, -33, 6, 43, 47, 68, 95]

Pass 7:
  Compare -94 and -83
  No swap needed
  Compare -83 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -83, -37, -33, 6, 43, 47, 68, 95]
</think>

<response>-94, -83, -37, -33, 6, 43, 47, 68, 95</response>


input: Arrange the numbers -2, 52, 89 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-2, 52, 89]

Pass 1:
  Compare -2 and 52
  No swap needed
  Compare 52 and 89
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-2, 52, 89]
</think>

<response>-2, 52, 89</response>


input: Demonstrate how bubble sort orders the integers -14, 9, 21, 42 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-14, 9, 21, 42]

Pass 1:
  Compare -14 and 9
  No swap needed
  Compare 9 and 21
  No swap needed
  Compare 21 and 42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-14, 9, 21, 42]
</think>

<response>-14, 9, 21, 42</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -37, -84, -48, -97, -32, 56.

output:
<think>
Initial list: [-37, -84, -48, -97, -32, 56]

Pass 1:
  Compare -37 and -84
  Swap -37 and -84
  List after swap: [-84, -37, -48, -97, -32, 56]
  Compare -37 and -48
  Swap -37 and -48
  List after swap: [-84, -48, -37, -97, -32, 56]
  Compare -37 and -97
  Swap -37 and -97
  List after swap: [-84, -48, -97, -37, -32, 56]
  Compare -37 and -32
  No swap needed
  Compare -32 and 56
  No swap needed

Pass 2:
  Compare -84 and -48
  No swap needed
  Compare -48 and -97
  Swap -48 and -97
  List after swap: [-84, -97, -48, -37, -32, 56]
  Compare -48 and -37
  No swap needed
  Compare -37 and -32
  No swap needed

Pass 3:
  Compare -84 and -97
  Swap -84 and -97
  List after swap: [-97, -84, -48, -37, -32, 56]
  Compare -84 and -48
  No swap needed
  Compare -48 and -37
  No swap needed

Pass 4:
  Compare -97 and -84
  No swap needed
  Compare -84 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -84, -48, -37, -32, 56]
</think>

<response>-97, -84, -48, -37, -32, 56</response>


input: Sort these integers -74, -17, 46, -85, -68, -37, -98 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-74, -17, 46, -85, -68, -37, -98]

Pass 1:
  Compare -74 and -17
  No swap needed
  Compare -17 and 46
  No swap needed
  Compare 46 and -85
  Swap 46 and -85
  List after swap: [-74, -17, -85, 46, -68, -37, -98]
  Compare 46 and -68
  Swap 46 and -68
  List after swap: [-74, -17, -85, -68, 46, -37, -98]
  Compare 46 and -37
  Swap 46 and -37
  List after swap: [-74, -17, -85, -68, -37, 46, -98]
  Compare 46 and -98
  Swap 46 and -98
  List after swap: [-74, -17, -85, -68, -37, -98, 46]

Pass 2:
  Compare -74 and -17
  No swap needed
  Compare -17 and -85
  Swap -17 and -85
  List after swap: [-74, -85, -17, -68, -37, -98, 46]
  Compare -17 and -68
  Swap -17 and -68
  List after swap: [-74, -85, -68, -17, -37, -98, 46]
  Compare -17 and -37
  Swap -17 and -37
  List after swap: [-74, -85, -68, -37, -17, -98, 46]
  Compare -17 and -98
  Swap -17 and -98
  List after swap: [-74, -85, -68, -37, -98, -17, 46]

Pass 3:
  Compare -74 and -85
  Swap -74 and -85
  List after swap: [-85, -74, -68, -37, -98, -17, 46]
  Compare -74 and -68
  No swap needed
  Compare -68 and -37
  No swap needed
  Compare -37 and -98
  Swap -37 and -98
  List after swap: [-85, -74, -68, -98, -37, -17, 46]

Pass 4:
  Compare -85 and -74
  No swap needed
  Compare -74 and -68
  No swap needed
  Compare -68 and -98
  Swap -68 and -98
  List after swap: [-85, -74, -98, -68, -37, -17, 46]

Pass 5:
  Compare -85 and -74
  No swap needed
  Compare -74 and -98
  Swap -74 and -98
  List after swap: [-85, -98, -74, -68, -37, -17, 46]

Pass 6:
  Compare -85 and -98
  Swap -85 and -98
  List after swap: [-98, -85, -74, -68, -37, -17, 46]

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

Final sorted list: [-98, -85, -74, -68, -37, -17, 46]
</think>

<response>-98, -85, -74, -68, -37, -17, 46</response>


input: Carry out the bubble sort algorithm on -99, 82, 44, 91, -77, 2, 89, 15, 54, -53 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-99, 82, 44, 91, -77, 2, 89, 15, 54, -53]

Pass 1:
  Compare -99 and 82
  No swap needed
  Compare 82 and 44
  Swap 82 and 44
  List after swap: [-99, 44, 82, 91, -77, 2, 89, 15, 54, -53]
  Compare 82 and 91
  No swap needed
  Compare 91 and -77
  Swap 91 and -77
  List after swap: [-99, 44, 82, -77, 91, 2, 89, 15, 54, -53]
  Compare 91 and 2
  Swap 91 and 2
  List after swap: [-99, 44, 82, -77, 2, 91, 89, 15, 54, -53]
  Compare 91 and 89
  Swap 91 and 89
  List after swap: [-99, 44, 82, -77, 2, 89, 91, 15, 54, -53]
  Compare 91 and 15
  Swap 91 and 15
  List after swap: [-99, 44, 82, -77, 2, 89, 15, 91, 54, -53]
  Compare 91 and 54
  Swap 91 and 54
  List after swap: [-99, 44, 82, -77, 2, 89, 15, 54, 91, -53]
  Compare 91 and -53
  Swap 91 and -53
  List after swap: [-99, 44, 82, -77, 2, 89, 15, 54, -53, 91]

Pass 2:
  Compare -99 and 44
  No swap needed
  Compare 44 and 82
  No swap needed
  Compare 82 and -77
  Swap 82 and -77
  List after swap: [-99, 44, -77, 82, 2, 89, 15, 54, -53, 91]
  Compare 82 and 2
  Swap 82 and 2
  List after swap: [-99, 44, -77, 2, 82, 89, 15, 54, -53, 91]
  Compare 82 and 89
  No swap needed
  Compare 89 and 15
  Swap 89 and 15
  List after swap: [-99, 44, -77, 2, 82, 15, 89, 54, -53, 91]
  Compare 89 and 54
  Swap 89 and 54
  List after swap: [-99, 44, -77, 2, 82, 15, 54, 89, -53, 91]
  Compare 89 and -53
  Swap 89 and -53
  List after swap: [-99, 44, -77, 2, 82, 15, 54, -53, 89, 91]

Pass 3:
  Compare -99 and 44
  No swap needed
  Compare 44 and -77
  Swap 44 and -77
  List after swap: [-99, -77, 44, 2, 82, 15, 54, -53, 89, 91]
  Compare 44 and 2
  Swap 44 and 2
  List after swap: [-99, -77, 2, 44, 82, 15, 54, -53, 89, 91]
  Compare 44 and 82
  No swap needed
  Compare 82 and 15
  Swap 82 and 15
  List after swap: [-99, -77, 2, 44, 15, 82, 54, -53, 89, 91]
  Compare 82 and 54
  Swap 82 and 54
  List after swap: [-99, -77, 2, 44, 15, 54, 82, -53, 89, 91]
  Compare 82 and -53
  Swap 82 and -53
  List after swap: [-99, -77, 2, 44, 15, 54, -53, 82, 89, 91]

Pass 4:
  Compare -99 and -77
  No swap needed
  Compare -77 and 2
  No swap needed
  Compare 2 and 44
  No swap needed
  Compare 44 and 15
  Swap 44 and 15
  List after swap: [-99, -77, 2, 15, 44, 54, -53, 82, 89, 91]
  Compare 44 and 54
  No swap needed
  Compare 54 and -53
  Swap 54 and -53
  List after swap: [-99, -77, 2, 15, 44, -53, 54, 82, 89, 91]

Pass 5:
  Compare -99 and -77
  No swap needed
  Compare -77 and 2
  No swap needed
  Compare 2 and 15
  No swap needed
  Compare 15 and 44
  No swap needed
  Compare 44 and -53
  Swap 44 and -53
  List after swap: [-99, -77, 2, 15, -53, 44, 54, 82, 89, 91]

Pass 6:
  Compare -99 and -77
  No swap needed
  Compare -77 and 2
  No swap needed
  Compare 2 and 15
  No swap needed
  Compare 15 and -53
  Swap 15 and -53
  List after swap: [-99, -77, 2, -53, 15, 44, 54, 82, 89, 91]

Pass 7:
  Compare -99 and -77
  No swap needed
  Compare -77 and 2
  No swap needed
  Compare 2 and -53
  Swap 2 and -53
  List after swap: [-99, -77, -53, 2, 15, 44, 54, 82, 89, 91]

Pass 8:
  Compare -99 and -77
  No swap needed
  Compare -77 and -53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -77, -53, 2, 15, 44, 54, 82, 89, 91]
</think>

<response>-99, -77, -53, 2, 15, 44, 54, 82, 89, 91</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -41, 28, 70, -15, -12, 84.

output:
<think>
Initial list: [-41, 28, 70, -15, -12, 84]

Pass 1:
  Compare -41 and 28
  No swap needed
  Compare 28 and 70
  No swap needed
  Compare 70 and -15
  Swap 70 and -15
  List after swap: [-41, 28, -15, 70, -12, 84]
  Compare 70 and -12
  Swap 70 and -12
  List after swap: [-41, 28, -15, -12, 70, 84]
  Compare 70 and 84
  No swap needed

Pass 2:
  Compare -41 and 28
  No swap needed
  Compare 28 and -15
  Swap 28 and -15
  List after swap: [-41, -15, 28, -12, 70, 84]
  Compare 28 and -12
  Swap 28 and -12
  List after swap: [-41, -15, -12, 28, 70, 84]
  Compare 28 and 70
  No swap needed

Pass 3:
  Compare -41 and -15
  No swap needed
  Compare -15 and -12
  No swap needed
  Compare -12 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-41, -15, -12, 28, 70, 84]
</think>

<response>-41, -15, -12, 28, 70, 84</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -26, -80, -64, -41, 7, 44.

output:
<think>
Initial list: [-26, -80, -64, -41, 7, 44]

Pass 1:
  Compare -26 and -80
  Swap -26 and -80
  List after swap: [-80, -26, -64, -41, 7, 44]
  Compare -26 and -64
  Swap -26 and -64
  List after swap: [-80, -64, -26, -41, 7, 44]
  Compare -26 and -41
  Swap -26 and -41
  List after swap: [-80, -64, -41, -26, 7, 44]
  Compare -26 and 7
  No swap needed
  Compare 7 and 44
  No swap needed

Pass 2:
  Compare -80 and -64
  No swap needed
  Compare -64 and -41
  No swap needed
  Compare -41 and -26
  No swap needed
  Compare -26 and 7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -64, -41, -26, 7, 44]
</think>

<response>-80, -64, -41, -26, 7, 44</response>


input: Using the bubble sort method, sort 87, 36, -91, 82, -27, 13, 44, -17, -38, -76 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [87, 36, -91, 82, -27, 13, 44, -17, -38, -76]

Pass 1:
  Compare 87 and 36
  Swap 87 and 36
  List after swap: [36, 87, -91, 82, -27, 13, 44, -17, -38, -76]
  Compare 87 and -91
  Swap 87 and -91
  List after swap: [36, -91, 87, 82, -27, 13, 44, -17, -38, -76]
  Compare 87 and 82
  Swap 87 and 82
  List after swap: [36, -91, 82, 87, -27, 13, 44, -17, -38, -76]
  Compare 87 and -27
  Swap 87 and -27
  List after swap: [36, -91, 82, -27, 87, 13, 44, -17, -38, -76]
  Compare 87 and 13
  Swap 87 and 13
  List after swap: [36, -91, 82, -27, 13, 87, 44, -17, -38, -76]
  Compare 87 and 44
  Swap 87 and 44
  List after swap: [36, -91, 82, -27, 13, 44, 87, -17, -38, -76]
  Compare 87 and -17
  Swap 87 and -17
  List after swap: [36, -91, 82, -27, 13, 44, -17, 87, -38, -76]
  Compare 87 and -38
  Swap 87 and -38
  List after swap: [36, -91, 82, -27, 13, 44, -17, -38, 87, -76]
  Compare 87 and -76
  Swap 87 and -76
  List after swap: [36, -91, 82, -27, 13, 44, -17, -38, -76, 87]

Pass 2:
  Compare 36 and -91
  Swap 36 and -91
  List after swap: [-91, 36, 82, -27, 13, 44, -17, -38, -76, 87]
  Compare 36 and 82
  No swap needed
  Compare 82 and -27
  Swap 82 and -27
  List after swap: [-91, 36, -27, 82, 13, 44, -17, -38, -76, 87]
  Compare 82 and 13
  Swap 82 and 13
  List after swap: [-91, 36, -27, 13, 82, 44, -17, -38, -76, 87]
  Compare 82 and 44
  Swap 82 and 44
  List after swap: [-91, 36, -27, 13, 44, 82, -17, -38, -76, 87]
  Compare 82 and -17
  Swap 82 and -17
  List after swap: [-91, 36, -27, 13, 44, -17, 82, -38, -76, 87]
  Compare 82 and -38
  Swap 82 and -38
  List after swap: [-91, 36, -27, 13, 44, -17, -38, 82, -76, 87]
  Compare 82 and -76
  Swap 82 and -76
  List after swap: [-91, 36, -27, 13, 44, -17, -38, -76, 82, 87]

Pass 3:
  Compare -91 and 36
  No swap needed
  Compare 36 and -27
  Swap 36 and -27
  List after swap: [-91, -27, 36, 13, 44, -17, -38, -76, 82, 87]
  Compare 36 and 13
  Swap 36 and 13
  List after swap: [-91, -27, 13, 36, 44, -17, -38, -76, 82, 87]
  Compare 36 and 44
  No swap needed
  Compare 44 and -17
  Swap 44 and -17
  List after swap: [-91, -27, 13, 36, -17, 44, -38, -76, 82, 87]
  Compare 44 and -38
  Swap 44 and -38
  List after swap: [-91, -27, 13, 36, -17, -38, 44, -76, 82, 87]
  Compare 44 and -76
  Swap 44 and -76
  List after swap: [-91, -27, 13, 36, -17, -38, -76, 44, 82, 87]

Pass 4:
  Compare -91 and -27
  No swap needed
  Compare -27 and 13
  No swap needed
  Compare 13 and 36
  No swap needed
  Compare 36 and -17
  Swap 36 and -17
  List after swap: [-91, -27, 13, -17, 36, -38, -76, 44, 82, 87]
  Compare 36 and -38
  Swap 36 and -38
  List after swap: [-91, -27, 13, -17, -38, 36, -76, 44, 82, 87]
  Compare 36 and -76
  Swap 36 and -76
  List after swap: [-91, -27, 13, -17, -38, -76, 36, 44, 82, 87]

Pass 5:
  Compare -91 and -27
  No swap needed
  Compare -27 and 13
  No swap needed
  Compare 13 and -17
  Swap 13 and -17
  List after swap: [-91, -27, -17, 13, -38, -76, 36, 44, 82, 87]
  Compare 13 and -38
  Swap 13 and -38
  List after swap: [-91, -27, -17, -38, 13, -76, 36, 44, 82, 87]
  Compare 13 and -76
  Swap 13 and -76
  List after swap: [-91, -27, -17, -38, -76, 13, 36, 44, 82, 87]

Pass 6:
  Compare -91 and -27
  No swap needed
  Compare -27 and -17
  No swap needed
  Compare -17 and -38
  Swap -17 and -38
  List after swap: [-91, -27, -38, -17, -76, 13, 36, 44, 82, 87]
  Compare -17 and -76
  Swap -17 and -76
  List after swap: [-91, -27, -38, -76, -17, 13, 36, 44, 82, 87]

Pass 7:
  Compare -91 and -27
  No swap needed
  Compare -27 and -38
  Swap -27 and -38
  List after swap: [-91, -38, -27, -76, -17, 13, 36, 44, 82, 87]
  Compare -27 and -76
  Swap -27 and -76
  List after swap: [-91, -38, -76, -27, -17, 13, 36, 44, 82, 87]

Pass 8:
  Compare -91 and -38
  No swap needed
  Compare -38 and -76
  Swap -38 and -76
  List after swap: [-91, -76, -38, -27, -17, 13, 36, 44, 82, 87]

Pass 9:
  Compare -91 and -76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -76, -38, -27, -17, 13, 36, 44, 82, 87]
</think>

<response>-91, -76, -38, -27, -17, 13, 36, 44, 82, 87</response>


input: Demonstrate how bubble sort orders the integers -55, 27, 56 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-55, 27, 56]

Pass 1:
  Compare -55 and 27
  No swap needed
  Compare 27 and 56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, 27, 56]
</think>

<response>-55, 27, 56</response>


input: Sort these integers 81, -46 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [81, -46]

Pass 1:
  Compare 81 and -46
  Swap 81 and -46
  List after swap: [-46, 81]

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

Final sorted list: [-46, 81]
</think>

<response>-46, 81</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -42, 49, 33, 30.

output:
<think>
Initial list: [-42, 49, 33, 30]

Pass 1:
  Compare -42 and 49
  No swap needed
  Compare 49 and 33
  Swap 49 and 33
  List after swap: [-42, 33, 49, 30]
  Compare 49 and 30
  Swap 49 and 30
  List after swap: [-42, 33, 30, 49]

Pass 2:
  Compare -42 and 33
  No swap needed
  Compare 33 and 30
  Swap 33 and 30
  List after swap: [-42, 30, 33, 49]

Pass 3:
  Compare -42 and 30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-42, 30, 33, 49]
</think>

<response>-42, 30, 33, 49</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 39, 78, 63, 25, -28, -96, -19, -91, 64, -64.

output:
<think>
Initial list: [39, 78, 63, 25, -28, -96, -19, -91, 64, -64]

Pass 1:
  Compare 39 and 78
  No swap needed
  Compare 78 and 63
  Swap 78 and 63
  List after swap: [39, 63, 78, 25, -28, -96, -19, -91, 64, -64]
  Compare 78 and 25
  Swap 78 and 25
  List after swap: [39, 63, 25, 78, -28, -96, -19, -91, 64, -64]
  Compare 78 and -28
  Swap 78 and -28
  List after swap: [39, 63, 25, -28, 78, -96, -19, -91, 64, -64]
  Compare 78 and -96
  Swap 78 and -96
  List after swap: [39, 63, 25, -28, -96, 78, -19, -91, 64, -64]
  Compare 78 and -19
  Swap 78 and -19
  List after swap: [39, 63, 25, -28, -96, -19, 78, -91, 64, -64]
  Compare 78 and -91
  Swap 78 and -91
  List after swap: [39, 63, 25, -28, -96, -19, -91, 78, 64, -64]
  Compare 78 and 64
  Swap 78 and 64
  List after swap: [39, 63, 25, -28, -96, -19, -91, 64, 78, -64]
  Compare 78 and -64
  Swap 78 and -64
  List after swap: [39, 63, 25, -28, -96, -19, -91, 64, -64, 78]

Pass 2:
  Compare 39 and 63
  No swap needed
  Compare 63 and 25
  Swap 63 and 25
  List after swap: [39, 25, 63, -28, -96, -19, -91, 64, -64, 78]
  Compare 63 and -28
  Swap 63 and -28
  List after swap: [39, 25, -28, 63, -96, -19, -91, 64, -64, 78]
  Compare 63 and -96
  Swap 63 and -96
  List after swap: [39, 25, -28, -96, 63, -19, -91, 64, -64, 78]
  Compare 63 and -19
  Swap 63 and -19
  List after swap: [39, 25, -28, -96, -19, 63, -91, 64, -64, 78]
  Compare 63 and -91
  Swap 63 and -91
  List after swap: [39, 25, -28, -96, -19, -91, 63, 64, -64, 78]
  Compare 63 and 64
  No swap needed
  Compare 64 and -64
  Swap 64 and -64
  List after swap: [39, 25, -28, -96, -19, -91, 63, -64, 64, 78]

Pass 3:
  Compare 39 and 25
  Swap 39 and 25
  List after swap: [25, 39, -28, -96, -19, -91, 63, -64, 64, 78]
  Compare 39 and -28
  Swap 39 and -28
  List after swap: [25, -28, 39, -96, -19, -91, 63, -64, 64, 78]
  Compare 39 and -96
  Swap 39 and -96
  List after swap: [25, -28, -96, 39, -19, -91, 63, -64, 64, 78]
  Compare 39 and -19
  Swap 39 and -19
  List after swap: [25, -28, -96, -19, 39, -91, 63, -64, 64, 78]
  Compare 39 and -91
  Swap 39 and -91
  List after swap: [25, -28, -96, -19, -91, 39, 63, -64, 64, 78]
  Compare 39 and 63
  No swap needed
  Compare 63 and -64
  Swap 63 and -64
  List after swap: [25, -28, -96, -19, -91, 39, -64, 63, 64, 78]

Pass 4:
  Compare 25 and -28
  Swap 25 and -28
  List after swap: [-28, 25, -96, -19, -91, 39, -64, 63, 64, 78]
  Compare 25 and -96
  Swap 25 and -96
  List after swap: [-28, -96, 25, -19, -91, 39, -64, 63, 64, 78]
  Compare 25 and -19
  Swap 25 and -19
  List after swap: [-28, -96, -19, 25, -91, 39, -64, 63, 64, 78]
  Compare 25 and -91
  Swap 25 and -91
  List after swap: [-28, -96, -19, -91, 25, 39, -64, 63, 64, 78]
  Compare 25 and 39
  No swap needed
  Compare 39 and -64
  Swap 39 and -64
  List after swap: [-28, -96, -19, -91, 25, -64, 39, 63, 64, 78]

Pass 5:
  Compare -28 and -96
  Swap -28 and -96
  List after swap: [-96, -28, -19, -91, 25, -64, 39, 63, 64, 78]
  Compare -28 and -19
  No swap needed
  Compare -19 and -91
  Swap -19 and -91
  List after swap: [-96, -28, -91, -19, 25, -64, 39, 63, 64, 78]
  Compare -19 and 25
  No swap needed
  Compare 25 and -64
  Swap 25 and -64
  List after swap: [-96, -28, -91, -19, -64, 25, 39, 63, 64, 78]

Pass 6:
  Compare -96 and -28
  No swap needed
  Compare -28 and -91
  Swap -28 and -91
  List after swap: [-96, -91, -28, -19, -64, 25, 39, 63, 64, 78]
  Compare -28 and -19
  No swap needed
  Compare -19 and -64
  Swap -19 and -64
  List after swap: [-96, -91, -28, -64, -19, 25, 39, 63, 64, 78]

Pass 7:
  Compare -96 and -91
  No swap needed
  Compare -91 and -28
  No swap needed
  Compare -28 and -64
  Swap -28 and -64
  List after swap: [-96, -91, -64, -28, -19, 25, 39, 63, 64, 78]

Pass 8:
  Compare -96 and -91
  No swap needed
  Compare -91 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -91, -64, -28, -19, 25, 39, 63, 64, 78]
</think>

<response>-96, -91, -64, -28, -19, 25, 39, 63, 64, 78</response>


input: Perform a bubble sort on the integers -27, 69, -31, 31, 76, 36, -82, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-27, 69, -31, 31, 76, 36, -82]

Pass 1:
  Compare -27 and 69
  No swap needed
  Compare 69 and -31
  Swap 69 and -31
  List after swap: [-27, -31, 69, 31, 76, 36, -82]
  Compare 69 and 31
  Swap 69 and 31
  List after swap: [-27, -31, 31, 69, 76, 36, -82]
  Compare 69 and 76
  No swap needed
  Compare 76 and 36
  Swap 76 and 36
  List after swap: [-27, -31, 31, 69, 36, 76, -82]
  Compare 76 and -82
  Swap 76 and -82
  List after swap: [-27, -31, 31, 69, 36, -82, 76]

Pass 2:
  Compare -27 and -31
  Swap -27 and -31
  List after swap: [-31, -27, 31, 69, 36, -82, 76]
  Compare -27 and 31
  No swap needed
  Compare 31 and 69
  No swap needed
  Compare 69 and 36
  Swap 69 and 36
  List after swap: [-31, -27, 31, 36, 69, -82, 76]
  Compare 69 and -82
  Swap 69 and -82
  List after swap: [-31, -27, 31, 36, -82, 69, 76]

Pass 3:
  Compare -31 and -27
  No swap needed
  Compare -27 and 31
  No swap needed
  Compare 31 and 36
  No swap needed
  Compare 36 and -82
  Swap 36 and -82
  List after swap: [-31, -27, 31, -82, 36, 69, 76]

Pass 4:
  Compare -31 and -27
  No swap needed
  Compare -27 and 31
  No swap needed
  Compare 31 and -82
  Swap 31 and -82
  List after swap: [-31, -27, -82, 31, 36, 69, 76]

Pass 5:
  Compare -31 and -27
  No swap needed
  Compare -27 and -82
  Swap -27 and -82
  List after swap: [-31, -82, -27, 31, 36, 69, 76]

Pass 6:
  Compare -31 and -82
  Swap -31 and -82
  List after swap: [-82, -31, -27, 31, 36, 69, 76]

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

Final sorted list: [-82, -31, -27, 31, 36, 69, 76]
</think>

<response>-82, -31, -27, 31, 36, 69, 76</response>


input: Arrange the numbers -47, 78, -52, -8, -10, 98 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-47, 78, -52, -8, -10, 98]

Pass 1:
  Compare -47 and 78
  No swap needed
  Compare 78 and -52
  Swap 78 and -52
  List after swap: [-47, -52, 78, -8, -10, 98]
  Compare 78 and -8
  Swap 78 and -8
  List after swap: [-47, -52, -8, 78, -10, 98]
  Compare 78 and -10
  Swap 78 and -10
  List after swap: [-47, -52, -8, -10, 78, 98]
  Compare 78 and 98
  No swap needed

Pass 2:
  Compare -47 and -52
  Swap -47 and -52
  List after swap: [-52, -47, -8, -10, 78, 98]
  Compare -47 and -8
  No swap needed
  Compare -8 and -10
  Swap -8 and -10
  List after swap: [-52, -47, -10, -8, 78, 98]
  Compare -8 and 78
  No swap needed

Pass 3:
  Compare -52 and -47
  No swap needed
  Compare -47 and -10
  No swap needed
  Compare -10 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, -47, -10, -8, 78, 98]
</think>

<response>-52, -47, -10, -8, 78, 98</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -83, -38, 25, -87, -2, -25, 79, 92, 57, -99.

output:
<think>
Initial list: [-83, -38, 25, -87, -2, -25, 79, 92, 57, -99]

Pass 1:
  Compare -83 and -38
  No swap needed
  Compare -38 and 25
  No swap needed
  Compare 25 and -87
  Swap 25 and -87
  List after swap: [-83, -38, -87, 25, -2, -25, 79, 92, 57, -99]
  Compare 25 and -2
  Swap 25 and -2
  List after swap: [-83, -38, -87, -2, 25, -25, 79, 92, 57, -99]
  Compare 25 and -25
  Swap 25 and -25
  List after swap: [-83, -38, -87, -2, -25, 25, 79, 92, 57, -99]
  Compare 25 and 79
  No swap needed
  Compare 79 and 92
  No swap needed
  Compare 92 and 57
  Swap 92 and 57
  List after swap: [-83, -38, -87, -2, -25, 25, 79, 57, 92, -99]
  Compare 92 and -99
  Swap 92 and -99
  List after swap: [-83, -38, -87, -2, -25, 25, 79, 57, -99, 92]

Pass 2:
  Compare -83 and -38
  No swap needed
  Compare -38 and -87
  Swap -38 and -87
  List after swap: [-83, -87, -38, -2, -25, 25, 79, 57, -99, 92]
  Compare -38 and -2
  No swap needed
  Compare -2 and -25
  Swap -2 and -25
  List after swap: [-83, -87, -38, -25, -2, 25, 79, 57, -99, 92]
  Compare -2 and 25
  No swap needed
  Compare 25 and 79
  No swap needed
  Compare 79 and 57
  Swap 79 and 57
  List after swap: [-83, -87, -38, -25, -2, 25, 57, 79, -99, 92]
  Compare 79 and -99
  Swap 79 and -99
  List after swap: [-83, -87, -38, -25, -2, 25, 57, -99, 79, 92]

Pass 3:
  Compare -83 and -87
  Swap -83 and -87
  List after swap: [-87, -83, -38, -25, -2, 25, 57, -99, 79, 92]
  Compare -83 and -38
  No swap needed
  Compare -38 and -25
  No swap needed
  Compare -25 and -2
  No swap needed
  Compare -2 and 25
  No swap needed
  Compare 25 and 57
  No swap needed
  Compare 57 and -99
  Swap 57 and -99
  List after swap: [-87, -83, -38, -25, -2, 25, -99, 57, 79, 92]

Pass 4:
  Compare -87 and -83
  No swap needed
  Compare -83 and -38
  No swap needed
  Compare -38 and -25
  No swap needed
  Compare -25 and -2
  No swap needed
  Compare -2 and 25
  No swap needed
  Compare 25 and -99
  Swap 25 and -99
  List after swap: [-87, -83, -38, -25, -2, -99, 25, 57, 79, 92]

Pass 5:
  Compare -87 and -83
  No swap needed
  Compare -83 and -38
  No swap needed
  Compare -38 and -25
  No swap needed
  Compare -25 and -2
  No swap needed
  Compare -2 and -99
  Swap -2 and -99
  List after swap: [-87, -83, -38, -25, -99, -2, 25, 57, 79, 92]

Pass 6:
  Compare -87 and -83
  No swap needed
  Compare -83 and -38
  No swap needed
  Compare -38 and -25
  No swap needed
  Compare -25 and -99
  Swap -25 and -99
  List after swap: [-87, -83, -38, -99, -25, -2, 25, 57, 79, 92]

Pass 7:
  Compare -87 and -83
  No swap needed
  Compare -83 and -38
  No swap needed
  Compare -38 and -99
  Swap -38 and -99
  List after swap: [-87, -83, -99, -38, -25, -2, 25, 57, 79, 92]

Pass 8:
  Compare -87 and -83
  No swap needed
  Compare -83 and -99
  Swap -83 and -99
  List after swap: [-87, -99, -83, -38, -25, -2, 25, 57, 79, 92]

Pass 9:
  Compare -87 and -99
  Swap -87 and -99
  List after swap: [-99, -87, -83, -38, -25, -2, 25, 57, 79, 92]

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

Final sorted list: [-99, -87, -83, -38, -25, -2, 25, 57, 79, 92]
</think>

<response>-99, -87, -83, -38, -25, -2, 25, 57, 79, 92</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -40, -56, -81, -80, 47, 27, -79, -13, -23.

output:
<think>
Initial list: [-40, -56, -81, -80, 47, 27, -79, -13, -23]

Pass 1:
  Compare -40 and -56
  Swap -40 and -56
  List after swap: [-56, -40, -81, -80, 47, 27, -79, -13, -23]
  Compare -40 and -81
  Swap -40 and -81
  List after swap: [-56, -81, -40, -80, 47, 27, -79, -13, -23]
  Compare -40 and -80
  Swap -40 and -80
  List after swap: [-56, -81, -80, -40, 47, 27, -79, -13, -23]
  Compare -40 and 47
  No swap needed
  Compare 47 and 27
  Swap 47 and 27
  List after swap: [-56, -81, -80, -40, 27, 47, -79, -13, -23]
  Compare 47 and -79
  Swap 47 and -79
  List after swap: [-56, -81, -80, -40, 27, -79, 47, -13, -23]
  Compare 47 and -13
  Swap 47 and -13
  List after swap: [-56, -81, -80, -40, 27, -79, -13, 47, -23]
  Compare 47 and -23
  Swap 47 and -23
  List after swap: [-56, -81, -80, -40, 27, -79, -13, -23, 47]

Pass 2:
  Compare -56 and -81
  Swap -56 and -81
  List after swap: [-81, -56, -80, -40, 27, -79, -13, -23, 47]
  Compare -56 and -80
  Swap -56 and -80
  List after swap: [-81, -80, -56, -40, 27, -79, -13, -23, 47]
  Compare -56 and -40
  No swap needed
  Compare -40 and 27
  No swap needed
  Compare 27 and -79
  Swap 27 and -79
  List after swap: [-81, -80, -56, -40, -79, 27, -13, -23, 47]
  Compare 27 and -13
  Swap 27 and -13
  List after swap: [-81, -80, -56, -40, -79, -13, 27, -23, 47]
  Compare 27 and -23
  Swap 27 and -23
  List after swap: [-81, -80, -56, -40, -79, -13, -23, 27, 47]

Pass 3:
  Compare -81 and -80
  No swap needed
  Compare -80 and -56
  No swap needed
  Compare -56 and -40
  No swap needed
  Compare -40 and -79
  Swap -40 and -79
  List after swap: [-81, -80, -56, -79, -40, -13, -23, 27, 47]
  Compare -40 and -13
  No swap needed
  Compare -13 and -23
  Swap -13 and -23
  List after swap: [-81, -80, -56, -79, -40, -23, -13, 27, 47]

Pass 4:
  Compare -81 and -80
  No swap needed
  Compare -80 and -56
  No swap needed
  Compare -56 and -79
  Swap -56 and -79
  List after swap: [-81, -80, -79, -56, -40, -23, -13, 27, 47]
  Compare -56 and -40
  No swap needed
  Compare -40 and -23
  No swap needed

Pass 5:
  Compare -81 and -80
  No swap needed
  Compare -80 and -79
  No swap needed
  Compare -79 and -56
  No swap needed
  Compare -56 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -80, -79, -56, -40, -23, -13, 27, 47]
</think>

<response>-81, -80, -79, -56, -40, -23, -13, 27, 47</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -53, 11, 45, -62.

output:
<think>
Initial list: [-53, 11, 45, -62]

Pass 1:
  Compare -53 and 11
  No swap needed
  Compare 11 and 45
  No swap needed
  Compare 45 and -62
  Swap 45 and -62
  List after swap: [-53, 11, -62, 45]

Pass 2:
  Compare -53 and 11
  No swap needed
  Compare 11 and -62
  Swap 11 and -62
  List after swap: [-53, -62, 11, 45]

Pass 3:
  Compare -53 and -62
  Swap -53 and -62
  List after swap: [-62, -53, 11, 45]

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

Final sorted list: [-62, -53, 11, 45]
</think>

<response>-62, -53, 11, 45</response>


input: Demonstrate how bubble sort orders the integers -77, 58, -24, 87, -15, 60 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-77, 58, -24, 87, -15, 60]

Pass 1:
  Compare -77 and 58
  No swap needed
  Compare 58 and -24
  Swap 58 and -24
  List after swap: [-77, -24, 58, 87, -15, 60]
  Compare 58 and 87
  No swap needed
  Compare 87 and -15
  Swap 87 and -15
  List after swap: [-77, -24, 58, -15, 87, 60]
  Compare 87 and 60
  Swap 87 and 60
  List after swap: [-77, -24, 58, -15, 60, 87]

Pass 2:
  Compare -77 and -24
  No swap needed
  Compare -24 and 58
  No swap needed
  Compare 58 and -15
  Swap 58 and -15
  List after swap: [-77, -24, -15, 58, 60, 87]
  Compare 58 and 60
  No swap needed

Pass 3:
  Compare -77 and -24
  No swap needed
  Compare -24 and -15
  No swap needed
  Compare -15 and 58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -24, -15, 58, 60, 87]
</think>

<response>-77, -24, -15, 58, 60, 87</response>


input: Arrange the numbers 31, 78 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [31, 78]

Pass 1:
  Compare 31 and 78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [31, 78]
</think>

<response>31, 78</response>


input: Arrange the numbers -61, 83, -65, 62, -83, -76, -25, -100 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-61, 83, -65, 62, -83, -76, -25, -100]

Pass 1:
  Compare -61 and 83
  No swap needed
  Compare 83 and -65
  Swap 83 and -65
  List after swap: [-61, -65, 83, 62, -83, -76, -25, -100]
  Compare 83 and 62
  Swap 83 and 62
  List after swap: [-61, -65, 62, 83, -83, -76, -25, -100]
  Compare 83 and -83
  Swap 83 and -83
  List after swap: [-61, -65, 62, -83, 83, -76, -25, -100]
  Compare 83 and -76
  Swap 83 and -76
  List after swap: [-61, -65, 62, -83, -76, 83, -25, -100]
  Compare 83 and -25
  Swap 83 and -25
  List after swap: [-61, -65, 62, -83, -76, -25, 83, -100]
  Compare 83 and -100
  Swap 83 and -100
  List after swap: [-61, -65, 62, -83, -76, -25, -100, 83]

Pass 2:
  Compare -61 and -65
  Swap -61 and -65
  List after swap: [-65, -61, 62, -83, -76, -25, -100, 83]
  Compare -61 and 62
  No swap needed
  Compare 62 and -83
  Swap 62 and -83
  List after swap: [-65, -61, -83, 62, -76, -25, -100, 83]
  Compare 62 and -76
  Swap 62 and -76
  List after swap: [-65, -61, -83, -76, 62, -25, -100, 83]
  Compare 62 and -25
  Swap 62 and -25
  List after swap: [-65, -61, -83, -76, -25, 62, -100, 83]
  Compare 62 and -100
  Swap 62 and -100
  List after swap: [-65, -61, -83, -76, -25, -100, 62, 83]

Pass 3:
  Compare -65 and -61
  No swap needed
  Compare -61 and -83
  Swap -61 and -83
  List after swap: [-65, -83, -61, -76, -25, -100, 62, 83]
  Compare -61 and -76
  Swap -61 and -76
  List after swap: [-65, -83, -76, -61, -25, -100, 62, 83]
  Compare -61 and -25
  No swap needed
  Compare -25 and -100
  Swap -25 and -100
  List after swap: [-65, -83, -76, -61, -100, -25, 62, 83]

Pass 4:
  Compare -65 and -83
  Swap -65 and -83
  List after swap: [-83, -65, -76, -61, -100, -25, 62, 83]
  Compare -65 and -76
  Swap -65 and -76
  List after swap: [-83, -76, -65, -61, -100, -25, 62, 83]
  Compare -65 and -61
  No swap needed
  Compare -61 and -100
  Swap -61 and -100
  List after swap: [-83, -76, -65, -100, -61, -25, 62, 83]

Pass 5:
  Compare -83 and -76
  No swap needed
  Compare -76 and -65
  No swap needed
  Compare -65 and -100
  Swap -65 and -100
  List after swap: [-83, -76, -100, -65, -61, -25, 62, 83]

Pass 6:
  Compare -83 and -76
  No swap needed
  Compare -76 and -100
  Swap -76 and -100
  List after swap: [-83, -100, -76, -65, -61, -25, 62, 83]

Pass 7:
  Compare -83 and -100
  Swap -83 and -100
  List after swap: [-100, -83, -76, -65, -61, -25, 62, 83]

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

Final sorted list: [-100, -83, -76, -65, -61, -25, 62, 83]
</think>

<response>-100, -83, -76, -65, -61, -25, 62, 83</response>


input: Using the bubble sort method, sort -20, -14, 81, 68, -82, 4, -99, 56, -92 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-20, -14, 81, 68, -82, 4, -99, 56, -92]

Pass 1:
  Compare -20 and -14
  No swap needed
  Compare -14 and 81
  No swap needed
  Compare 81 and 68
  Swap 81 and 68
  List after swap: [-20, -14, 68, 81, -82, 4, -99, 56, -92]
  Compare 81 and -82
  Swap 81 and -82
  List after swap: [-20, -14, 68, -82, 81, 4, -99, 56, -92]
  Compare 81 and 4
  Swap 81 and 4
  List after swap: [-20, -14, 68, -82, 4, 81, -99, 56, -92]
  Compare 81 and -99
  Swap 81 and -99
  List after swap: [-20, -14, 68, -82, 4, -99, 81, 56, -92]
  Compare 81 and 56
  Swap 81 and 56
  List after swap: [-20, -14, 68, -82, 4, -99, 56, 81, -92]
  Compare 81 and -92
  Swap 81 and -92
  List after swap: [-20, -14, 68, -82, 4, -99, 56, -92, 81]

Pass 2:
  Compare -20 and -14
  No swap needed
  Compare -14 and 68
  No swap needed
  Compare 68 and -82
  Swap 68 and -82
  List after swap: [-20, -14, -82, 68, 4, -99, 56, -92, 81]
  Compare 68 and 4
  Swap 68 and 4
  List after swap: [-20, -14, -82, 4, 68, -99, 56, -92, 81]
  Compare 68 and -99
  Swap 68 and -99
  List after swap: [-20, -14, -82, 4, -99, 68, 56, -92, 81]
  Compare 68 and 56
  Swap 68 and 56
  List after swap: [-20, -14, -82, 4, -99, 56, 68, -92, 81]
  Compare 68 and -92
  Swap 68 and -92
  List after swap: [-20, -14, -82, 4, -99, 56, -92, 68, 81]

Pass 3:
  Compare -20 and -14
  No swap needed
  Compare -14 and -82
  Swap -14 and -82
  List after swap: [-20, -82, -14, 4, -99, 56, -92, 68, 81]
  Compare -14 and 4
  No swap needed
  Compare 4 and -99
  Swap 4 and -99
  List after swap: [-20, -82, -14, -99, 4, 56, -92, 68, 81]
  Compare 4 and 56
  No swap needed
  Compare 56 and -92
  Swap 56 and -92
  List after swap: [-20, -82, -14, -99, 4, -92, 56, 68, 81]

Pass 4:
  Compare -20 and -82
  Swap -20 and -82
  List after swap: [-82, -20, -14, -99, 4, -92, 56, 68, 81]
  Compare -20 and -14
  No swap needed
  Compare -14 and -99
  Swap -14 and -99
  List after swap: [-82, -20, -99, -14, 4, -92, 56, 68, 81]
  Compare -14 and 4
  No swap needed
  Compare 4 and -92
  Swap 4 and -92
  List after swap: [-82, -20, -99, -14, -92, 4, 56, 68, 81]

Pass 5:
  Compare -82 and -20
  No swap needed
  Compare -20 and -99
  Swap -20 and -99
  List after swap: [-82, -99, -20, -14, -92, 4, 56, 68, 81]
  Compare -20 and -14
  No swap needed
  Compare -14 and -92
  Swap -14 and -92
  List after swap: [-82, -99, -20, -92, -14, 4, 56, 68, 81]

Pass 6:
  Compare -82 and -99
  Swap -82 and -99
  List after swap: [-99, -82, -20, -92, -14, 4, 56, 68, 81]
  Compare -82 and -20
  No swap needed
  Compare -20 and -92
  Swap -20 and -92
  List after swap: [-99, -82, -92, -20, -14, 4, 56, 68, 81]

Pass 7:
  Compare -99 and -82
  No swap needed
  Compare -82 and -92
  Swap -82 and -92
  List after swap: [-99, -92, -82, -20, -14, 4, 56, 68, 81]

Pass 8:
  Compare -99 and -92
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -92, -82, -20, -14, 4, 56, 68, 81]
</think>

<response>-99, -92, -82, -20, -14, 4, 56, 68, 81</response>


input: Demonstrate how bubble sort orders the integers 26, -2, -35, -34, 17, -89 in ascending sequence, showing all steps.

output:
<think>
Initial list: [26, -2, -35, -34, 17, -89]

Pass 1:
  Compare 26 and -2
  Swap 26 and -2
  List after swap: [-2, 26, -35, -34, 17, -89]
  Compare 26 and -35
  Swap 26 and -35
  List after swap: [-2, -35, 26, -34, 17, -89]
  Compare 26 and -34
  Swap 26 and -34
  List after swap: [-2, -35, -34, 26, 17, -89]
  Compare 26 and 17
  Swap 26 and 17
  List after swap: [-2, -35, -34, 17, 26, -89]
  Compare 26 and -89
  Swap 26 and -89
  List after swap: [-2, -35, -34, 17, -89, 26]

Pass 2:
  Compare -2 and -35
  Swap -2 and -35
  List after swap: [-35, -2, -34, 17, -89, 26]
  Compare -2 and -34
  Swap -2 and -34
  List after swap: [-35, -34, -2, 17, -89, 26]
  Compare -2 and 17
  No swap needed
  Compare 17 and -89
  Swap 17 and -89
  List after swap: [-35, -34, -2, -89, 17, 26]

Pass 3:
  Compare -35 and -34
  No swap needed
  Compare -34 and -2
  No swap needed
  Compare -2 and -89
  Swap -2 and -89
  List after swap: [-35, -34, -89, -2, 17, 26]

Pass 4:
  Compare -35 and -34
  No swap needed
  Compare -34 and -89
  Swap -34 and -89
  List after swap: [-35, -89, -34, -2, 17, 26]

Pass 5:
  Compare -35 and -89
  Swap -35 and -89
  List after swap: [-89, -35, -34, -2, 17, 26]

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

Final sorted list: [-89, -35, -34, -2, 17, 26]
</think>

<response>-89, -35, -34, -2, 17, 26</response>


input: Use the bubble sort technique to reorder -27, -14, 86 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-27, -14, 86]

Pass 1:
  Compare -27 and -14
  No swap needed
  Compare -14 and 86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-27, -14, 86]
</think>

<response>-27, -14, 86</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 65, -24.

output:
<think>
Initial list: [65, -24]

Pass 1:
  Compare 65 and -24
  Swap 65 and -24
  List after swap: [-24, 65]

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

Final sorted list: [-24, 65]
</think>

<response>-24, 65</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -38, -20, -67, 79, 17, -24, -93.

output:
<think>
Initial list: [-38, -20, -67, 79, 17, -24, -93]

Pass 1:
  Compare -38 and -20
  No swap needed
  Compare -20 and -67
  Swap -20 and -67
  List after swap: [-38, -67, -20, 79, 17, -24, -93]
  Compare -20 and 79
  No swap needed
  Compare 79 and 17
  Swap 79 and 17
  List after swap: [-38, -67, -20, 17, 79, -24, -93]
  Compare 79 and -24
  Swap 79 and -24
  List after swap: [-38, -67, -20, 17, -24, 79, -93]
  Compare 79 and -93
  Swap 79 and -93
  List after swap: [-38, -67, -20, 17, -24, -93, 79]

Pass 2:
  Compare -38 and -67
  Swap -38 and -67
  List after swap: [-67, -38, -20, 17, -24, -93, 79]
  Compare -38 and -20
  No swap needed
  Compare -20 and 17
  No swap needed
  Compare 17 and -24
  Swap 17 and -24
  List after swap: [-67, -38, -20, -24, 17, -93, 79]
  Compare 17 and -93
  Swap 17 and -93
  List after swap: [-67, -38, -20, -24, -93, 17, 79]

Pass 3:
  Compare -67 and -38
  No swap needed
  Compare -38 and -20
  No swap needed
  Compare -20 and -24
  Swap -20 and -24
  List after swap: [-67, -38, -24, -20, -93, 17, 79]
  Compare -20 and -93
  Swap -20 and -93
  List after swap: [-67, -38, -24, -93, -20, 17, 79]

Pass 4:
  Compare -67 and -38
  No swap needed
  Compare -38 and -24
  No swap needed
  Compare -24 and -93
  Swap -24 and -93
  List after swap: [-67, -38, -93, -24, -20, 17, 79]

Pass 5:
  Compare -67 and -38
  No swap needed
  Compare -38 and -93
  Swap -38 and -93
  List after swap: [-67, -93, -38, -24, -20, 17, 79]

Pass 6:
  Compare -67 and -93
  Swap -67 and -93
  List after swap: [-93, -67, -38, -24, -20, 17, 79]

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

Final sorted list: [-93, -67, -38, -24, -20, 17, 79]
</think>

<response>-93, -67, -38, -24, -20, 17, 79</response>


input: Implement bubble sort on 2, 50, -89, 67, -84, 20 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [2, 50, -89, 67, -84, 20]

Pass 1:
  Compare 2 and 50
  No swap needed
  Compare 50 and -89
  Swap 50 and -89
  List after swap: [2, -89, 50, 67, -84, 20]
  Compare 50 and 67
  No swap needed
  Compare 67 and -84
  Swap 67 and -84
  List after swap: [2, -89, 50, -84, 67, 20]
  Compare 67 and 20
  Swap 67 and 20
  List after swap: [2, -89, 50, -84, 20, 67]

Pass 2:
  Compare 2 and -89
  Swap 2 and -89
  List after swap: [-89, 2, 50, -84, 20, 67]
  Compare 2 and 50
  No swap needed
  Compare 50 and -84
  Swap 50 and -84
  List after swap: [-89, 2, -84, 50, 20, 67]
  Compare 50 and 20
  Swap 50 and 20
  List after swap: [-89, 2, -84, 20, 50, 67]

Pass 3:
  Compare -89 and 2
  No swap needed
  Compare 2 and -84
  Swap 2 and -84
  List after swap: [-89, -84, 2, 20, 50, 67]
  Compare 2 and 20
  No swap needed

Pass 4:
  Compare -89 and -84
  No swap needed
  Compare -84 and 2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -84, 2, 20, 50, 67]
</think>

<response>-89, -84, 2, 20, 50, 67</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 82, -99, -79, 56, 20, 83, 86.

output:
<think>
Initial list: [82, -99, -79, 56, 20, 83, 86]

Pass 1:
  Compare 82 and -99
  Swap 82 and -99
  List after swap: [-99, 82, -79, 56, 20, 83, 86]
  Compare 82 and -79
  Swap 82 and -79
  List after swap: [-99, -79, 82, 56, 20, 83, 86]
  Compare 82 and 56
  Swap 82 and 56
  List after swap: [-99, -79, 56, 82, 20, 83, 86]
  Compare 82 and 20
  Swap 82 and 20
  List after swap: [-99, -79, 56, 20, 82, 83, 86]
  Compare 82 and 83
  No swap needed
  Compare 83 and 86
  No swap needed

Pass 2:
  Compare -99 and -79
  No swap needed
  Compare -79 and 56
  No swap needed
  Compare 56 and 20
  Swap 56 and 20
  List after swap: [-99, -79, 20, 56, 82, 83, 86]
  Compare 56 and 82
  No swap needed
  Compare 82 and 83
  No swap needed

Pass 3:
  Compare -99 and -79
  No swap needed
  Compare -79 and 20
  No swap needed
  Compare 20 and 56
  No swap needed
  Compare 56 and 82
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -79, 20, 56, 82, 83, 86]
</think>

<response>-99, -79, 20, 56, 82, 83, 86</response>


input: Using the bubble sort method, sort -86, 0, -75, -5, 12, -87, -30, -98, 3, -21 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-86, 0, -75, -5, 12, -87, -30, -98, 3, -21]

Pass 1:
  Compare -86 and 0
  No swap needed
  Compare 0 and -75
  Swap 0 and -75
  List after swap: [-86, -75, 0, -5, 12, -87, -30, -98, 3, -21]
  Compare 0 and -5
  Swap 0 and -5
  List after swap: [-86, -75, -5, 0, 12, -87, -30, -98, 3, -21]
  Compare 0 and 12
  No swap needed
  Compare 12 and -87
  Swap 12 and -87
  List after swap: [-86, -75, -5, 0, -87, 12, -30, -98, 3, -21]
  Compare 12 and -30
  Swap 12 and -30
  List after swap: [-86, -75, -5, 0, -87, -30, 12, -98, 3, -21]
  Compare 12 and -98
  Swap 12 and -98
  List after swap: [-86, -75, -5, 0, -87, -30, -98, 12, 3, -21]
  Compare 12 and 3
  Swap 12 and 3
  List after swap: [-86, -75, -5, 0, -87, -30, -98, 3, 12, -21]
  Compare 12 and -21
  Swap 12 and -21
  List after swap: [-86, -75, -5, 0, -87, -30, -98, 3, -21, 12]

Pass 2:
  Compare -86 and -75
  No swap needed
  Compare -75 and -5
  No swap needed
  Compare -5 and 0
  No swap needed
  Compare 0 and -87
  Swap 0 and -87
  List after swap: [-86, -75, -5, -87, 0, -30, -98, 3, -21, 12]
  Compare 0 and -30
  Swap 0 and -30
  List after swap: [-86, -75, -5, -87, -30, 0, -98, 3, -21, 12]
  Compare 0 and -98
  Swap 0 and -98
  List after swap: [-86, -75, -5, -87, -30, -98, 0, 3, -21, 12]
  Compare 0 and 3
  No swap needed
  Compare 3 and -21
  Swap 3 and -21
  List after swap: [-86, -75, -5, -87, -30, -98, 0, -21, 3, 12]

Pass 3:
  Compare -86 and -75
  No swap needed
  Compare -75 and -5
  No swap needed
  Compare -5 and -87
  Swap -5 and -87
  List after swap: [-86, -75, -87, -5, -30, -98, 0, -21, 3, 12]
  Compare -5 and -30
  Swap -5 and -30
  List after swap: [-86, -75, -87, -30, -5, -98, 0, -21, 3, 12]
  Compare -5 and -98
  Swap -5 and -98
  List after swap: [-86, -75, -87, -30, -98, -5, 0, -21, 3, 12]
  Compare -5 and 0
  No swap needed
  Compare 0 and -21
  Swap 0 and -21
  List after swap: [-86, -75, -87, -30, -98, -5, -21, 0, 3, 12]

Pass 4:
  Compare -86 and -75
  No swap needed
  Compare -75 and -87
  Swap -75 and -87
  List after swap: [-86, -87, -75, -30, -98, -5, -21, 0, 3, 12]
  Compare -75 and -30
  No swap needed
  Compare -30 and -98
  Swap -30 and -98
  List after swap: [-86, -87, -75, -98, -30, -5, -21, 0, 3, 12]
  Compare -30 and -5
  No swap needed
  Compare -5 and -21
  Swap -5 and -21
  List after swap: [-86, -87, -75, -98, -30, -21, -5, 0, 3, 12]

Pass 5:
  Compare -86 and -87
  Swap -86 and -87
  List after swap: [-87, -86, -75, -98, -30, -21, -5, 0, 3, 12]
  Compare -86 and -75
  No swap needed
  Compare -75 and -98
  Swap -75 and -98
  List after swap: [-87, -86, -98, -75, -30, -21, -5, 0, 3, 12]
  Compare -75 and -30
  No swap needed
  Compare -30 and -21
  No swap needed

Pass 6:
  Compare -87 and -86
  No swap needed
  Compare -86 and -98
  Swap -86 and -98
  List after swap: [-87, -98, -86, -75, -30, -21, -5, 0, 3, 12]
  Compare -86 and -75
  No swap needed
  Compare -75 and -30
  No swap needed

Pass 7:
  Compare -87 and -98
  Swap -87 and -98
  List after swap: [-98, -87, -86, -75, -30, -21, -5, 0, 3, 12]
  Compare -87 and -86
  No swap needed
  Compare -86 and -75
  No swap needed

Pass 8:
  Compare -98 and -87
  No swap needed
  Compare -87 and -86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -87, -86, -75, -30, -21, -5, 0, 3, 12]
</think>

<response>-98, -87, -86, -75, -30, -21, -5, 0, 3, 12</response>


input: Perform a bubble sort on the integers -73, 36, -63, 99, 58, -52, 74, 31, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-73, 36, -63, 99, 58, -52, 74, 31]

Pass 1:
  Compare -73 and 36
  No swap needed
  Compare 36 and -63
  Swap 36 and -63
  List after swap: [-73, -63, 36, 99, 58, -52, 74, 31]
  Compare 36 and 99
  No swap needed
  Compare 99 and 58
  Swap 99 and 58
  List after swap: [-73, -63, 36, 58, 99, -52, 74, 31]
  Compare 99 and -52
  Swap 99 and -52
  List after swap: [-73, -63, 36, 58, -52, 99, 74, 31]
  Compare 99 and 74
  Swap 99 and 74
  List after swap: [-73, -63, 36, 58, -52, 74, 99, 31]
  Compare 99 and 31
  Swap 99 and 31
  List after swap: [-73, -63, 36, 58, -52, 74, 31, 99]

Pass 2:
  Compare -73 and -63
  No swap needed
  Compare -63 and 36
  No swap needed
  Compare 36 and 58
  No swap needed
  Compare 58 and -52
  Swap 58 and -52
  List after swap: [-73, -63, 36, -52, 58, 74, 31, 99]
  Compare 58 and 74
  No swap needed
  Compare 74 and 31
  Swap 74 and 31
  List after swap: [-73, -63, 36, -52, 58, 31, 74, 99]

Pass 3:
  Compare -73 and -63
  No swap needed
  Compare -63 and 36
  No swap needed
  Compare 36 and -52
  Swap 36 and -52
  List after swap: [-73, -63, -52, 36, 58, 31, 74, 99]
  Compare 36 and 58
  No swap needed
  Compare 58 and 31
  Swap 58 and 31
  List after swap: [-73, -63, -52, 36, 31, 58, 74, 99]

Pass 4:
  Compare -73 and -63
  No swap needed
  Compare -63 and -52
  No swap needed
  Compare -52 and 36
  No swap needed
  Compare 36 and 31
  Swap 36 and 31
  List after swap: [-73, -63, -52, 31, 36, 58, 74, 99]

Pass 5:
  Compare -73 and -63
  No swap needed
  Compare -63 and -52
  No swap needed
  Compare -52 and 31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -63, -52, 31, 36, 58, 74, 99]
</think>

<response>-73, -63, -52, 31, 36, 58, 74, 99</response>


input: Implement bubble sort on 13, 52, -6 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [13, 52, -6]

Pass 1:
  Compare 13 and 52
  No swap needed
  Compare 52 and -6
  Swap 52 and -6
  List after swap: [13, -6, 52]

Pass 2:
  Compare 13 and -6
  Swap 13 and -6
  List after swap: [-6, 13, 52]

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

Final sorted list: [-6, 13, 52]
</think>

<response>-6, 13, 52</response>


input: Sort the list 59, -33, 53, 12, -8, -62, -31, 60 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [59, -33, 53, 12, -8, -62, -31, 60]

Pass 1:
  Compare 59 and -33
  Swap 59 and -33
  List after swap: [-33, 59, 53, 12, -8, -62, -31, 60]
  Compare 59 and 53
  Swap 59 and 53
  List after swap: [-33, 53, 59, 12, -8, -62, -31, 60]
  Compare 59 and 12
  Swap 59 and 12
  List after swap: [-33, 53, 12, 59, -8, -62, -31, 60]
  Compare 59 and -8
  Swap 59 and -8
  List after swap: [-33, 53, 12, -8, 59, -62, -31, 60]
  Compare 59 and -62
  Swap 59 and -62
  List after swap: [-33, 53, 12, -8, -62, 59, -31, 60]
  Compare 59 and -31
  Swap 59 and -31
  List after swap: [-33, 53, 12, -8, -62, -31, 59, 60]
  Compare 59 and 60
  No swap needed

Pass 2:
  Compare -33 and 53
  No swap needed
  Compare 53 and 12
  Swap 53 and 12
  List after swap: [-33, 12, 53, -8, -62, -31, 59, 60]
  Compare 53 and -8
  Swap 53 and -8
  List after swap: [-33, 12, -8, 53, -62, -31, 59, 60]
  Compare 53 and -62
  Swap 53 and -62
  List after swap: [-33, 12, -8, -62, 53, -31, 59, 60]
  Compare 53 and -31
  Swap 53 and -31
  List after swap: [-33, 12, -8, -62, -31, 53, 59, 60]
  Compare 53 and 59
  No swap needed

Pass 3:
  Compare -33 and 12
  No swap needed
  Compare 12 and -8
  Swap 12 and -8
  List after swap: [-33, -8, 12, -62, -31, 53, 59, 60]
  Compare 12 and -62
  Swap 12 and -62
  List after swap: [-33, -8, -62, 12, -31, 53, 59, 60]
  Compare 12 and -31
  Swap 12 and -31
  List after swap: [-33, -8, -62, -31, 12, 53, 59, 60]
  Compare 12 and 53
  No swap needed

Pass 4:
  Compare -33 and -8
  No swap needed
  Compare -8 and -62
  Swap -8 and -62
  List after swap: [-33, -62, -8, -31, 12, 53, 59, 60]
  Compare -8 and -31
  Swap -8 and -31
  List after swap: [-33, -62, -31, -8, 12, 53, 59, 60]
  Compare -8 and 12
  No swap needed

Pass 5:
  Compare -33 and -62
  Swap -33 and -62
  List after swap: [-62, -33, -31, -8, 12, 53, 59, 60]
  Compare -33 and -31
  No swap needed
  Compare -31 and -8
  No swap needed

Pass 6:
  Compare -62 and -33
  No swap needed
  Compare -33 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -33, -31, -8, 12, 53, 59, 60]
</think>

<response>-62, -33, -31, -8, 12, 53, 59, 60</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 82, 6, -13, -45.

output:
<think>
Initial list: [82, 6, -13, -45]

Pass 1:
  Compare 82 and 6
  Swap 82 and 6
  List after swap: [6, 82, -13, -45]
  Compare 82 and -13
  Swap 82 and -13
  List after swap: [6, -13, 82, -45]
  Compare 82 and -45
  Swap 82 and -45
  List after swap: [6, -13, -45, 82]

Pass 2:
  Compare 6 and -13
  Swap 6 and -13
  List after swap: [-13, 6, -45, 82]
  Compare 6 and -45
  Swap 6 and -45
  List after swap: [-13, -45, 6, 82]

Pass 3:
  Compare -13 and -45
  Swap -13 and -45
  List after swap: [-45, -13, 6, 82]

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

Final sorted list: [-45, -13, 6, 82]
</think>

<response>-45, -13, 6, 82</response>


input: Use the bubble sort technique to reorder -42, 3, -40, 86, -71, 21, 51, 73 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-42, 3, -40, 86, -71, 21, 51, 73]

Pass 1:
  Compare -42 and 3
  No swap needed
  Compare 3 and -40
  Swap 3 and -40
  List after swap: [-42, -40, 3, 86, -71, 21, 51, 73]
  Compare 3 and 86
  No swap needed
  Compare 86 and -71
  Swap 86 and -71
  List after swap: [-42, -40, 3, -71, 86, 21, 51, 73]
  Compare 86 and 21
  Swap 86 and 21
  List after swap: [-42, -40, 3, -71, 21, 86, 51, 73]
  Compare 86 and 51
  Swap 86 and 51
  List after swap: [-42, -40, 3, -71, 21, 51, 86, 73]
  Compare 86 and 73
  Swap 86 and 73
  List after swap: [-42, -40, 3, -71, 21, 51, 73, 86]

Pass 2:
  Compare -42 and -40
  No swap needed
  Compare -40 and 3
  No swap needed
  Compare 3 and -71
  Swap 3 and -71
  List after swap: [-42, -40, -71, 3, 21, 51, 73, 86]
  Compare 3 and 21
  No swap needed
  Compare 21 and 51
  No swap needed
  Compare 51 and 73
  No swap needed

Pass 3:
  Compare -42 and -40
  No swap needed
  Compare -40 and -71
  Swap -40 and -71
  List after swap: [-42, -71, -40, 3, 21, 51, 73, 86]
  Compare -40 and 3
  No swap needed
  Compare 3 and 21
  No swap needed
  Compare 21 and 51
  No swap needed

Pass 4:
  Compare -42 and -71
  Swap -42 and -71
  List after swap: [-71, -42, -40, 3, 21, 51, 73, 86]
  Compare -42 and -40
  No swap needed
  Compare -40 and 3
  No swap needed
  Compare 3 and 21
  No swap needed

Pass 5:
  Compare -71 and -42
  No swap needed
  Compare -42 and -40
  No swap needed
  Compare -40 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -42, -40, 3, 21, 51, 73, 86]
</think>

<response>-71, -42, -40, 3, 21, 51, 73, 86</response>


input: Implement bubble sort on 53, -23, -12 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [53, -23, -12]

Pass 1:
  Compare 53 and -23
  Swap 53 and -23
  List after swap: [-23, 53, -12]
  Compare 53 and -12
  Swap 53 and -12
  List after swap: [-23, -12, 53]

Pass 2:
  Compare -23 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-23, -12, 53]
</think>

<response>-23, -12, 53</response>


input: Sort these integers 93, -11, -54, -59, 42, 88, -34 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [93, -11, -54, -59, 42, 88, -34]

Pass 1:
  Compare 93 and -11
  Swap 93 and -11
  List after swap: [-11, 93, -54, -59, 42, 88, -34]
  Compare 93 and -54
  Swap 93 and -54
  List after swap: [-11, -54, 93, -59, 42, 88, -34]
  Compare 93 and -59
  Swap 93 and -59
  List after swap: [-11, -54, -59, 93, 42, 88, -34]
  Compare 93 and 42
  Swap 93 and 42
  List after swap: [-11, -54, -59, 42, 93, 88, -34]
  Compare 93 and 88
  Swap 93 and 88
  List after swap: [-11, -54, -59, 42, 88, 93, -34]
  Compare 93 and -34
  Swap 93 and -34
  List after swap: [-11, -54, -59, 42, 88, -34, 93]

Pass 2:
  Compare -11 and -54
  Swap -11 and -54
  List after swap: [-54, -11, -59, 42, 88, -34, 93]
  Compare -11 and -59
  Swap -11 and -59
  List after swap: [-54, -59, -11, 42, 88, -34, 93]
  Compare -11 and 42
  No swap needed
  Compare 42 and 88
  No swap needed
  Compare 88 and -34
  Swap 88 and -34
  List after swap: [-54, -59, -11, 42, -34, 88, 93]

Pass 3:
  Compare -54 and -59
  Swap -54 and -59
  List after swap: [-59, -54, -11, 42, -34, 88, 93]
  Compare -54 and -11
  No swap needed
  Compare -11 and 42
  No swap needed
  Compare 42 and -34
  Swap 42 and -34
  List after swap: [-59, -54, -11, -34, 42, 88, 93]

Pass 4:
  Compare -59 and -54
  No swap needed
  Compare -54 and -11
  No swap needed
  Compare -11 and -34
  Swap -11 and -34
  List after swap: [-59, -54, -34, -11, 42, 88, 93]

Pass 5:
  Compare -59 and -54
  No swap needed
  Compare -54 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, -54, -34, -11, 42, 88, 93]
</think>

<response>-59, -54, -34, -11, 42, 88, 93</response>


input: Execute bubble sort to sort 13, 29 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [13, 29]

Pass 1:
  Compare 13 and 29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [13, 29]
</think>

<response>13, 29</response>


input: Demonstrate how bubble sort orders the integers 30, -23, 24, 11, 5, -5, -31 in ascending sequence, showing all steps.

output:
<think>
Initial list: [30, -23, 24, 11, 5, -5, -31]

Pass 1:
  Compare 30 and -23
  Swap 30 and -23
  List after swap: [-23, 30, 24, 11, 5, -5, -31]
  Compare 30 and 24
  Swap 30 and 24
  List after swap: [-23, 24, 30, 11, 5, -5, -31]
  Compare 30 and 11
  Swap 30 and 11
  List after swap: [-23, 24, 11, 30, 5, -5, -31]
  Compare 30 and 5
  Swap 30 and 5
  List after swap: [-23, 24, 11, 5, 30, -5, -31]
  Compare 30 and -5
  Swap 30 and -5
  List after swap: [-23, 24, 11, 5, -5, 30, -31]
  Compare 30 and -31
  Swap 30 and -31
  List after swap: [-23, 24, 11, 5, -5, -31, 30]

Pass 2:
  Compare -23 and 24
  No swap needed
  Compare 24 and 11
  Swap 24 and 11
  List after swap: [-23, 11, 24, 5, -5, -31, 30]
  Compare 24 and 5
  Swap 24 and 5
  List after swap: [-23, 11, 5, 24, -5, -31, 30]
  Compare 24 and -5
  Swap 24 and -5
  List after swap: [-23, 11, 5, -5, 24, -31, 30]
  Compare 24 and -31
  Swap 24 and -31
  List after swap: [-23, 11, 5, -5, -31, 24, 30]

Pass 3:
  Compare -23 and 11
  No swap needed
  Compare 11 and 5
  Swap 11 and 5
  List after swap: [-23, 5, 11, -5, -31, 24, 30]
  Compare 11 and -5
  Swap 11 and -5
  List after swap: [-23, 5, -5, 11, -31, 24, 30]
  Compare 11 and -31
  Swap 11 and -31
  List after swap: [-23, 5, -5, -31, 11, 24, 30]

Pass 4:
  Compare -23 and 5
  No swap needed
  Compare 5 and -5
  Swap 5 and -5
  List after swap: [-23, -5, 5, -31, 11, 24, 30]
  Compare 5 and -31
  Swap 5 and -31
  List after swap: [-23, -5, -31, 5, 11, 24, 30]

Pass 5:
  Compare -23 and -5
  No swap needed
  Compare -5 and -31
  Swap -5 and -31
  List after swap: [-23, -31, -5, 5, 11, 24, 30]

Pass 6:
  Compare -23 and -31
  Swap -23 and -31
  List after swap: [-31, -23, -5, 5, 11, 24, 30]

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

Final sorted list: [-31, -23, -5, 5, 11, 24, 30]
</think>

<response>-31, -23, -5, 5, 11, 24, 30</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -41, -23.

output:
<think>
Initial list: [-41, -23]

Pass 1:
  Compare -41 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-41, -23]
</think>

<response>-41, -23</response>


input: Sort these integers -11, 16, 21, -82, -70, -35, 85, -30 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-11, 16, 21, -82, -70, -35, 85, -30]

Pass 1:
  Compare -11 and 16
  No swap needed
  Compare 16 and 21
  No swap needed
  Compare 21 and -82
  Swap 21 and -82
  List after swap: [-11, 16, -82, 21, -70, -35, 85, -30]
  Compare 21 and -70
  Swap 21 and -70
  List after swap: [-11, 16, -82, -70, 21, -35, 85, -30]
  Compare 21 and -35
  Swap 21 and -35
  List after swap: [-11, 16, -82, -70, -35, 21, 85, -30]
  Compare 21 and 85
  No swap needed
  Compare 85 and -30
  Swap 85 and -30
  List after swap: [-11, 16, -82, -70, -35, 21, -30, 85]

Pass 2:
  Compare -11 and 16
  No swap needed
  Compare 16 and -82
  Swap 16 and -82
  List after swap: [-11, -82, 16, -70, -35, 21, -30, 85]
  Compare 16 and -70
  Swap 16 and -70
  List after swap: [-11, -82, -70, 16, -35, 21, -30, 85]
  Compare 16 and -35
  Swap 16 and -35
  List after swap: [-11, -82, -70, -35, 16, 21, -30, 85]
  Compare 16 and 21
  No swap needed
  Compare 21 and -30
  Swap 21 and -30
  List after swap: [-11, -82, -70, -35, 16, -30, 21, 85]

Pass 3:
  Compare -11 and -82
  Swap -11 and -82
  List after swap: [-82, -11, -70, -35, 16, -30, 21, 85]
  Compare -11 and -70
  Swap -11 and -70
  List after swap: [-82, -70, -11, -35, 16, -30, 21, 85]
  Compare -11 and -35
  Swap -11 and -35
  List after swap: [-82, -70, -35, -11, 16, -30, 21, 85]
  Compare -11 and 16
  No swap needed
  Compare 16 and -30
  Swap 16 and -30
  List after swap: [-82, -70, -35, -11, -30, 16, 21, 85]

Pass 4:
  Compare -82 and -70
  No swap needed
  Compare -70 and -35
  No swap needed
  Compare -35 and -11
  No swap needed
  Compare -11 and -30
  Swap -11 and -30
  List after swap: [-82, -70, -35, -30, -11, 16, 21, 85]

Pass 5:
  Compare -82 and -70
  No swap needed
  Compare -70 and -35
  No swap needed
  Compare -35 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -70, -35, -30, -11, 16, 21, 85]
</think>

<response>-82, -70, -35, -30, -11, 16, 21, 85</response>


input: Sort the list 97, -89, 64, -44, 87, -82, -85, -63, 62 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [97, -89, 64, -44, 87, -82, -85, -63, 62]

Pass 1:
  Compare 97 and -89
  Swap 97 and -89
  List after swap: [-89, 97, 64, -44, 87, -82, -85, -63, 62]
  Compare 97 and 64
  Swap 97 and 64
  List after swap: [-89, 64, 97, -44, 87, -82, -85, -63, 62]
  Compare 97 and -44
  Swap 97 and -44
  List after swap: [-89, 64, -44, 97, 87, -82, -85, -63, 62]
  Compare 97 and 87
  Swap 97 and 87
  List after swap: [-89, 64, -44, 87, 97, -82, -85, -63, 62]
  Compare 97 and -82
  Swap 97 and -82
  List after swap: [-89, 64, -44, 87, -82, 97, -85, -63, 62]
  Compare 97 and -85
  Swap 97 and -85
  List after swap: [-89, 64, -44, 87, -82, -85, 97, -63, 62]
  Compare 97 and -63
  Swap 97 and -63
  List after swap: [-89, 64, -44, 87, -82, -85, -63, 97, 62]
  Compare 97 and 62
  Swap 97 and 62
  List after swap: [-89, 64, -44, 87, -82, -85, -63, 62, 97]

Pass 2:
  Compare -89 and 64
  No swap needed
  Compare 64 and -44
  Swap 64 and -44
  List after swap: [-89, -44, 64, 87, -82, -85, -63, 62, 97]
  Compare 64 and 87
  No swap needed
  Compare 87 and -82
  Swap 87 and -82
  List after swap: [-89, -44, 64, -82, 87, -85, -63, 62, 97]
  Compare 87 and -85
  Swap 87 and -85
  List after swap: [-89, -44, 64, -82, -85, 87, -63, 62, 97]
  Compare 87 and -63
  Swap 87 and -63
  List after swap: [-89, -44, 64, -82, -85, -63, 87, 62, 97]
  Compare 87 and 62
  Swap 87 and 62
  List after swap: [-89, -44, 64, -82, -85, -63, 62, 87, 97]

Pass 3:
  Compare -89 and -44
  No swap needed
  Compare -44 and 64
  No swap needed
  Compare 64 and -82
  Swap 64 and -82
  List after swap: [-89, -44, -82, 64, -85, -63, 62, 87, 97]
  Compare 64 and -85
  Swap 64 and -85
  List after swap: [-89, -44, -82, -85, 64, -63, 62, 87, 97]
  Compare 64 and -63
  Swap 64 and -63
  List after swap: [-89, -44, -82, -85, -63, 64, 62, 87, 97]
  Compare 64 and 62
  Swap 64 and 62
  List after swap: [-89, -44, -82, -85, -63, 62, 64, 87, 97]

Pass 4:
  Compare -89 and -44
  No swap needed
  Compare -44 and -82
  Swap -44 and -82
  List after swap: [-89, -82, -44, -85, -63, 62, 64, 87, 97]
  Compare -44 and -85
  Swap -44 and -85
  List after swap: [-89, -82, -85, -44, -63, 62, 64, 87, 97]
  Compare -44 and -63
  Swap -44 and -63
  List after swap: [-89, -82, -85, -63, -44, 62, 64, 87, 97]
  Compare -44 and 62
  No swap needed

Pass 5:
  Compare -89 and -82
  No swap needed
  Compare -82 and -85
  Swap -82 and -85
  List after swap: [-89, -85, -82, -63, -44, 62, 64, 87, 97]
  Compare -82 and -63
  No swap needed
  Compare -63 and -44
  No swap needed

Pass 6:
  Compare -89 and -85
  No swap needed
  Compare -85 and -82
  No swap needed
  Compare -82 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -85, -82, -63, -44, 62, 64, 87, 97]
</think>

<response>-89, -85, -82, -63, -44, 62, 64, 87, 97</response>


input: Implement bubble sort on 61, -62, 12, -87, -88, 92, 84, -77 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [61, -62, 12, -87, -88, 92, 84, -77]

Pass 1:
  Compare 61 and -62
  Swap 61 and -62
  List after swap: [-62, 61, 12, -87, -88, 92, 84, -77]
  Compare 61 and 12
  Swap 61 and 12
  List after swap: [-62, 12, 61, -87, -88, 92, 84, -77]
  Compare 61 and -87
  Swap 61 and -87
  List after swap: [-62, 12, -87, 61, -88, 92, 84, -77]
  Compare 61 and -88
  Swap 61 and -88
  List after swap: [-62, 12, -87, -88, 61, 92, 84, -77]
  Compare 61 and 92
  No swap needed
  Compare 92 and 84
  Swap 92 and 84
  List after swap: [-62, 12, -87, -88, 61, 84, 92, -77]
  Compare 92 and -77
  Swap 92 and -77
  List after swap: [-62, 12, -87, -88, 61, 84, -77, 92]

Pass 2:
  Compare -62 and 12
  No swap needed
  Compare 12 and -87
  Swap 12 and -87
  List after swap: [-62, -87, 12, -88, 61, 84, -77, 92]
  Compare 12 and -88
  Swap 12 and -88
  List after swap: [-62, -87, -88, 12, 61, 84, -77, 92]
  Compare 12 and 61
  No swap needed
  Compare 61 and 84
  No swap needed
  Compare 84 and -77
  Swap 84 and -77
  List after swap: [-62, -87, -88, 12, 61, -77, 84, 92]

Pass 3:
  Compare -62 and -87
  Swap -62 and -87
  List after swap: [-87, -62, -88, 12, 61, -77, 84, 92]
  Compare -62 and -88
  Swap -62 and -88
  List after swap: [-87, -88, -62, 12, 61, -77, 84, 92]
  Compare -62 and 12
  No swap needed
  Compare 12 and 61
  No swap needed
  Compare 61 and -77
  Swap 61 and -77
  List after swap: [-87, -88, -62, 12, -77, 61, 84, 92]

Pass 4:
  Compare -87 and -88
  Swap -87 and -88
  List after swap: [-88, -87, -62, 12, -77, 61, 84, 92]
  Compare -87 and -62
  No swap needed
  Compare -62 and 12
  No swap needed
  Compare 12 and -77
  Swap 12 and -77
  List after swap: [-88, -87, -62, -77, 12, 61, 84, 92]

Pass 5:
  Compare -88 and -87
  No swap needed
  Compare -87 and -62
  No swap needed
  Compare -62 and -77
  Swap -62 and -77
  List after swap: [-88, -87, -77, -62, 12, 61, 84, 92]

Pass 6:
  Compare -88 and -87
  No swap needed
  Compare -87 and -77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -87, -77, -62, 12, 61, 84, 92]
</think>

<response>-88, -87, -77, -62, 12, 61, 84, 92</response>


input: Implement bubble sort on 59, 71, -63, 64, 50, -32, 98, -2, -92 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [59, 71, -63, 64, 50, -32, 98, -2, -92]

Pass 1:
  Compare 59 and 71
  No swap needed
  Compare 71 and -63
  Swap 71 and -63
  List after swap: [59, -63, 71, 64, 50, -32, 98, -2, -92]
  Compare 71 and 64
  Swap 71 and 64
  List after swap: [59, -63, 64, 71, 50, -32, 98, -2, -92]
  Compare 71 and 50
  Swap 71 and 50
  List after swap: [59, -63, 64, 50, 71, -32, 98, -2, -92]
  Compare 71 and -32
  Swap 71 and -32
  List after swap: [59, -63, 64, 50, -32, 71, 98, -2, -92]
  Compare 71 and 98
  No swap needed
  Compare 98 and -2
  Swap 98 and -2
  List after swap: [59, -63, 64, 50, -32, 71, -2, 98, -92]
  Compare 98 and -92
  Swap 98 and -92
  List after swap: [59, -63, 64, 50, -32, 71, -2, -92, 98]

Pass 2:
  Compare 59 and -63
  Swap 59 and -63
  List after swap: [-63, 59, 64, 50, -32, 71, -2, -92, 98]
  Compare 59 and 64
  No swap needed
  Compare 64 and 50
  Swap 64 and 50
  List after swap: [-63, 59, 50, 64, -32, 71, -2, -92, 98]
  Compare 64 and -32
  Swap 64 and -32
  List after swap: [-63, 59, 50, -32, 64, 71, -2, -92, 98]
  Compare 64 and 71
  No swap needed
  Compare 71 and -2
  Swap 71 and -2
  List after swap: [-63, 59, 50, -32, 64, -2, 71, -92, 98]
  Compare 71 and -92
  Swap 71 and -92
  List after swap: [-63, 59, 50, -32, 64, -2, -92, 71, 98]

Pass 3:
  Compare -63 and 59
  No swap needed
  Compare 59 and 50
  Swap 59 and 50
  List after swap: [-63, 50, 59, -32, 64, -2, -92, 71, 98]
  Compare 59 and -32
  Swap 59 and -32
  List after swap: [-63, 50, -32, 59, 64, -2, -92, 71, 98]
  Compare 59 and 64
  No swap needed
  Compare 64 and -2
  Swap 64 and -2
  List after swap: [-63, 50, -32, 59, -2, 64, -92, 71, 98]
  Compare 64 and -92
  Swap 64 and -92
  List after swap: [-63, 50, -32, 59, -2, -92, 64, 71, 98]

Pass 4:
  Compare -63 and 50
  No swap needed
  Compare 50 and -32
  Swap 50 and -32
  List after swap: [-63, -32, 50, 59, -2, -92, 64, 71, 98]
  Compare 50 and 59
  No swap needed
  Compare 59 and -2
  Swap 59 and -2
  List after swap: [-63, -32, 50, -2, 59, -92, 64, 71, 98]
  Compare 59 and -92
  Swap 59 and -92
  List after swap: [-63, -32, 50, -2, -92, 59, 64, 71, 98]

Pass 5:
  Compare -63 and -32
  No swap needed
  Compare -32 and 50
  No swap needed
  Compare 50 and -2
  Swap 50 and -2
  List after swap: [-63, -32, -2, 50, -92, 59, 64, 71, 98]
  Compare 50 and -92
  Swap 50 and -92
  List after swap: [-63, -32, -2, -92, 50, 59, 64, 71, 98]

Pass 6:
  Compare -63 and -32
  No swap needed
  Compare -32 and -2
  No swap needed
  Compare -2 and -92
  Swap -2 and -92
  List after swap: [-63, -32, -92, -2, 50, 59, 64, 71, 98]

Pass 7:
  Compare -63 and -32
  No swap needed
  Compare -32 and -92
  Swap -32 and -92
  List after swap: [-63, -92, -32, -2, 50, 59, 64, 71, 98]

Pass 8:
  Compare -63 and -92
  Swap -63 and -92
  List after swap: [-92, -63, -32, -2, 50, 59, 64, 71, 98]

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

Final sorted list: [-92, -63, -32, -2, 50, 59, 64, 71, 98]
</think>

<response>-92, -63, -32, -2, 50, 59, 64, 71, 98</response>