input: Execute bubble sort to sort -58, -90, -31, 92 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-58, -90, -31, 92]

Pass 1:
  Compare -58 and -90
  Swap -58 and -90
  List after swap: [-90, -58, -31, 92]
  Compare -58 and -31
  No swap needed
  Compare -31 and 92
  No swap needed

Pass 2:
  Compare -90 and -58
  No swap needed
  Compare -58 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -58, -31, 92]
</think>

<response>-90, -58, -31, 92</response>


input: Use the bubble sort technique to reorder 7, -65, -10, -78 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [7, -65, -10, -78]

Pass 1:
  Compare 7 and -65
  Swap 7 and -65
  List after swap: [-65, 7, -10, -78]
  Compare 7 and -10
  Swap 7 and -10
  List after swap: [-65, -10, 7, -78]
  Compare 7 and -78
  Swap 7 and -78
  List after swap: [-65, -10, -78, 7]

Pass 2:
  Compare -65 and -10
  No swap needed
  Compare -10 and -78
  Swap -10 and -78
  List after swap: [-65, -78, -10, 7]

Pass 3:
  Compare -65 and -78
  Swap -65 and -78
  List after swap: [-78, -65, -10, 7]

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

Final sorted list: [-78, -65, -10, 7]
</think>

<response>-78, -65, -10, 7</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -18, -48, -26, 30, -88.

output:
<think>
Initial list: [-18, -48, -26, 30, -88]

Pass 1:
  Compare -18 and -48
  Swap -18 and -48
  List after swap: [-48, -18, -26, 30, -88]
  Compare -18 and -26
  Swap -18 and -26
  List after swap: [-48, -26, -18, 30, -88]
  Compare -18 and 30
  No swap needed
  Compare 30 and -88
  Swap 30 and -88
  List after swap: [-48, -26, -18, -88, 30]

Pass 2:
  Compare -48 and -26
  No swap needed
  Compare -26 and -18
  No swap needed
  Compare -18 and -88
  Swap -18 and -88
  List after swap: [-48, -26, -88, -18, 30]

Pass 3:
  Compare -48 and -26
  No swap needed
  Compare -26 and -88
  Swap -26 and -88
  List after swap: [-48, -88, -26, -18, 30]

Pass 4:
  Compare -48 and -88
  Swap -48 and -88
  List after swap: [-88, -48, -26, -18, 30]

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

Final sorted list: [-88, -48, -26, -18, 30]
</think>

<response>-88, -48, -26, -18, 30</response>


input: Implement bubble sort on 92, -92, 36, 74, -80, 66, -82, -27 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [92, -92, 36, 74, -80, 66, -82, -27]

Pass 1:
  Compare 92 and -92
  Swap 92 and -92
  List after swap: [-92, 92, 36, 74, -80, 66, -82, -27]
  Compare 92 and 36
  Swap 92 and 36
  List after swap: [-92, 36, 92, 74, -80, 66, -82, -27]
  Compare 92 and 74
  Swap 92 and 74
  List after swap: [-92, 36, 74, 92, -80, 66, -82, -27]
  Compare 92 and -80
  Swap 92 and -80
  List after swap: [-92, 36, 74, -80, 92, 66, -82, -27]
  Compare 92 and 66
  Swap 92 and 66
  List after swap: [-92, 36, 74, -80, 66, 92, -82, -27]
  Compare 92 and -82
  Swap 92 and -82
  List after swap: [-92, 36, 74, -80, 66, -82, 92, -27]
  Compare 92 and -27
  Swap 92 and -27
  List after swap: [-92, 36, 74, -80, 66, -82, -27, 92]

Pass 2:
  Compare -92 and 36
  No swap needed
  Compare 36 and 74
  No swap needed
  Compare 74 and -80
  Swap 74 and -80
  List after swap: [-92, 36, -80, 74, 66, -82, -27, 92]
  Compare 74 and 66
  Swap 74 and 66
  List after swap: [-92, 36, -80, 66, 74, -82, -27, 92]
  Compare 74 and -82
  Swap 74 and -82
  List after swap: [-92, 36, -80, 66, -82, 74, -27, 92]
  Compare 74 and -27
  Swap 74 and -27
  List after swap: [-92, 36, -80, 66, -82, -27, 74, 92]

Pass 3:
  Compare -92 and 36
  No swap needed
  Compare 36 and -80
  Swap 36 and -80
  List after swap: [-92, -80, 36, 66, -82, -27, 74, 92]
  Compare 36 and 66
  No swap needed
  Compare 66 and -82
  Swap 66 and -82
  List after swap: [-92, -80, 36, -82, 66, -27, 74, 92]
  Compare 66 and -27
  Swap 66 and -27
  List after swap: [-92, -80, 36, -82, -27, 66, 74, 92]

Pass 4:
  Compare -92 and -80
  No swap needed
  Compare -80 and 36
  No swap needed
  Compare 36 and -82
  Swap 36 and -82
  List after swap: [-92, -80, -82, 36, -27, 66, 74, 92]
  Compare 36 and -27
  Swap 36 and -27
  List after swap: [-92, -80, -82, -27, 36, 66, 74, 92]

Pass 5:
  Compare -92 and -80
  No swap needed
  Compare -80 and -82
  Swap -80 and -82
  List after swap: [-92, -82, -80, -27, 36, 66, 74, 92]
  Compare -80 and -27
  No swap needed

Pass 6:
  Compare -92 and -82
  No swap needed
  Compare -82 and -80
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -82, -80, -27, 36, 66, 74, 92]
</think>

<response>-92, -82, -80, -27, 36, 66, 74, 92</response>


input: Demonstrate how bubble sort orders the integers -76, 90, 57, -64, -97, 56, -96, -62 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-76, 90, 57, -64, -97, 56, -96, -62]

Pass 1:
  Compare -76 and 90
  No swap needed
  Compare 90 and 57
  Swap 90 and 57
  List after swap: [-76, 57, 90, -64, -97, 56, -96, -62]
  Compare 90 and -64
  Swap 90 and -64
  List after swap: [-76, 57, -64, 90, -97, 56, -96, -62]
  Compare 90 and -97
  Swap 90 and -97
  List after swap: [-76, 57, -64, -97, 90, 56, -96, -62]
  Compare 90 and 56
  Swap 90 and 56
  List after swap: [-76, 57, -64, -97, 56, 90, -96, -62]
  Compare 90 and -96
  Swap 90 and -96
  List after swap: [-76, 57, -64, -97, 56, -96, 90, -62]
  Compare 90 and -62
  Swap 90 and -62
  List after swap: [-76, 57, -64, -97, 56, -96, -62, 90]

Pass 2:
  Compare -76 and 57
  No swap needed
  Compare 57 and -64
  Swap 57 and -64
  List after swap: [-76, -64, 57, -97, 56, -96, -62, 90]
  Compare 57 and -97
  Swap 57 and -97
  List after swap: [-76, -64, -97, 57, 56, -96, -62, 90]
  Compare 57 and 56
  Swap 57 and 56
  List after swap: [-76, -64, -97, 56, 57, -96, -62, 90]
  Compare 57 and -96
  Swap 57 and -96
  List after swap: [-76, -64, -97, 56, -96, 57, -62, 90]
  Compare 57 and -62
  Swap 57 and -62
  List after swap: [-76, -64, -97, 56, -96, -62, 57, 90]

Pass 3:
  Compare -76 and -64
  No swap needed
  Compare -64 and -97
  Swap -64 and -97
  List after swap: [-76, -97, -64, 56, -96, -62, 57, 90]
  Compare -64 and 56
  No swap needed
  Compare 56 and -96
  Swap 56 and -96
  List after swap: [-76, -97, -64, -96, 56, -62, 57, 90]
  Compare 56 and -62
  Swap 56 and -62
  List after swap: [-76, -97, -64, -96, -62, 56, 57, 90]

Pass 4:
  Compare -76 and -97
  Swap -76 and -97
  List after swap: [-97, -76, -64, -96, -62, 56, 57, 90]
  Compare -76 and -64
  No swap needed
  Compare -64 and -96
  Swap -64 and -96
  List after swap: [-97, -76, -96, -64, -62, 56, 57, 90]
  Compare -64 and -62
  No swap needed

Pass 5:
  Compare -97 and -76
  No swap needed
  Compare -76 and -96
  Swap -76 and -96
  List after swap: [-97, -96, -76, -64, -62, 56, 57, 90]
  Compare -76 and -64
  No swap needed

Pass 6:
  Compare -97 and -96
  No swap needed
  Compare -96 and -76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -96, -76, -64, -62, 56, 57, 90]
</think>

<response>-97, -96, -76, -64, -62, 56, 57, 90</response>


input: Carry out the bubble sort algorithm on -57, -44, 48, -17, -30, 99, 87, -66, 15 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-57, -44, 48, -17, -30, 99, 87, -66, 15]

Pass 1:
  Compare -57 and -44
  No swap needed
  Compare -44 and 48
  No swap needed
  Compare 48 and -17
  Swap 48 and -17
  List after swap: [-57, -44, -17, 48, -30, 99, 87, -66, 15]
  Compare 48 and -30
  Swap 48 and -30
  List after swap: [-57, -44, -17, -30, 48, 99, 87, -66, 15]
  Compare 48 and 99
  No swap needed
  Compare 99 and 87
  Swap 99 and 87
  List after swap: [-57, -44, -17, -30, 48, 87, 99, -66, 15]
  Compare 99 and -66
  Swap 99 and -66
  List after swap: [-57, -44, -17, -30, 48, 87, -66, 99, 15]
  Compare 99 and 15
  Swap 99 and 15
  List after swap: [-57, -44, -17, -30, 48, 87, -66, 15, 99]

Pass 2:
  Compare -57 and -44
  No swap needed
  Compare -44 and -17
  No swap needed
  Compare -17 and -30
  Swap -17 and -30
  List after swap: [-57, -44, -30, -17, 48, 87, -66, 15, 99]
  Compare -17 and 48
  No swap needed
  Compare 48 and 87
  No swap needed
  Compare 87 and -66
  Swap 87 and -66
  List after swap: [-57, -44, -30, -17, 48, -66, 87, 15, 99]
  Compare 87 and 15
  Swap 87 and 15
  List after swap: [-57, -44, -30, -17, 48, -66, 15, 87, 99]

Pass 3:
  Compare -57 and -44
  No swap needed
  Compare -44 and -30
  No swap needed
  Compare -30 and -17
  No swap needed
  Compare -17 and 48
  No swap needed
  Compare 48 and -66
  Swap 48 and -66
  List after swap: [-57, -44, -30, -17, -66, 48, 15, 87, 99]
  Compare 48 and 15
  Swap 48 and 15
  List after swap: [-57, -44, -30, -17, -66, 15, 48, 87, 99]

Pass 4:
  Compare -57 and -44
  No swap needed
  Compare -44 and -30
  No swap needed
  Compare -30 and -17
  No swap needed
  Compare -17 and -66
  Swap -17 and -66
  List after swap: [-57, -44, -30, -66, -17, 15, 48, 87, 99]
  Compare -17 and 15
  No swap needed

Pass 5:
  Compare -57 and -44
  No swap needed
  Compare -44 and -30
  No swap needed
  Compare -30 and -66
  Swap -30 and -66
  List after swap: [-57, -44, -66, -30, -17, 15, 48, 87, 99]
  Compare -30 and -17
  No swap needed

Pass 6:
  Compare -57 and -44
  No swap needed
  Compare -44 and -66
  Swap -44 and -66
  List after swap: [-57, -66, -44, -30, -17, 15, 48, 87, 99]
  Compare -44 and -30
  No swap needed

Pass 7:
  Compare -57 and -66
  Swap -57 and -66
  List after swap: [-66, -57, -44, -30, -17, 15, 48, 87, 99]
  Compare -57 and -44
  No swap needed

Pass 8:
  Compare -66 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -57, -44, -30, -17, 15, 48, 87, 99]
</think>

<response>-66, -57, -44, -30, -17, 15, 48, 87, 99</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -57, 27, 67, 36.

output:
<think>
Initial list: [-57, 27, 67, 36]

Pass 1:
  Compare -57 and 27
  No swap needed
  Compare 27 and 67
  No swap needed
  Compare 67 and 36
  Swap 67 and 36
  List after swap: [-57, 27, 36, 67]

Pass 2:
  Compare -57 and 27
  No swap needed
  Compare 27 and 36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, 27, 36, 67]
</think>

<response>-57, 27, 36, 67</response>


input: Perform a bubble sort on the integers -83, 40, -44, 20, 72, -84, 82, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-83, 40, -44, 20, 72, -84, 82]

Pass 1:
  Compare -83 and 40
  No swap needed
  Compare 40 and -44
  Swap 40 and -44
  List after swap: [-83, -44, 40, 20, 72, -84, 82]
  Compare 40 and 20
  Swap 40 and 20
  List after swap: [-83, -44, 20, 40, 72, -84, 82]
  Compare 40 and 72
  No swap needed
  Compare 72 and -84
  Swap 72 and -84
  List after swap: [-83, -44, 20, 40, -84, 72, 82]
  Compare 72 and 82
  No swap needed

Pass 2:
  Compare -83 and -44
  No swap needed
  Compare -44 and 20
  No swap needed
  Compare 20 and 40
  No swap needed
  Compare 40 and -84
  Swap 40 and -84
  List after swap: [-83, -44, 20, -84, 40, 72, 82]
  Compare 40 and 72
  No swap needed

Pass 3:
  Compare -83 and -44
  No swap needed
  Compare -44 and 20
  No swap needed
  Compare 20 and -84
  Swap 20 and -84
  List after swap: [-83, -44, -84, 20, 40, 72, 82]
  Compare 20 and 40
  No swap needed

Pass 4:
  Compare -83 and -44
  No swap needed
  Compare -44 and -84
  Swap -44 and -84
  List after swap: [-83, -84, -44, 20, 40, 72, 82]
  Compare -44 and 20
  No swap needed

Pass 5:
  Compare -83 and -84
  Swap -83 and -84
  List after swap: [-84, -83, -44, 20, 40, 72, 82]
  Compare -83 and -44
  No swap needed

Pass 6:
  Compare -84 and -83
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -83, -44, 20, 40, 72, 82]
</think>

<response>-84, -83, -44, 20, 40, 72, 82</response>


input: Perform a bubble sort on the integers -14, -33, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-14, -33]

Pass 1:
  Compare -14 and -33
  Swap -14 and -33
  List after swap: [-33, -14]

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

Final sorted list: [-33, -14]
</think>

<response>-33, -14</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -60, 91, 12, 43, 77.

output:
<think>
Initial list: [-60, 91, 12, 43, 77]

Pass 1:
  Compare -60 and 91
  No swap needed
  Compare 91 and 12
  Swap 91 and 12
  List after swap: [-60, 12, 91, 43, 77]
  Compare 91 and 43
  Swap 91 and 43
  List after swap: [-60, 12, 43, 91, 77]
  Compare 91 and 77
  Swap 91 and 77
  List after swap: [-60, 12, 43, 77, 91]

Pass 2:
  Compare -60 and 12
  No swap needed
  Compare 12 and 43
  No swap needed
  Compare 43 and 77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, 12, 43, 77, 91]
</think>

<response>-60, 12, 43, 77, 91</response>


input: Sort the list 30, 63, -43, -1, 38 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [30, 63, -43, -1, 38]

Pass 1:
  Compare 30 and 63
  No swap needed
  Compare 63 and -43
  Swap 63 and -43
  List after swap: [30, -43, 63, -1, 38]
  Compare 63 and -1
  Swap 63 and -1
  List after swap: [30, -43, -1, 63, 38]
  Compare 63 and 38
  Swap 63 and 38
  List after swap: [30, -43, -1, 38, 63]

Pass 2:
  Compare 30 and -43
  Swap 30 and -43
  List after swap: [-43, 30, -1, 38, 63]
  Compare 30 and -1
  Swap 30 and -1
  List after swap: [-43, -1, 30, 38, 63]
  Compare 30 and 38
  No swap needed

Pass 3:
  Compare -43 and -1
  No swap needed
  Compare -1 and 30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-43, -1, 30, 38, 63]
</think>

<response>-43, -1, 30, 38, 63</response>


input: Sort the list 0, -70, 25, 89, -50, -94 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [0, -70, 25, 89, -50, -94]

Pass 1:
  Compare 0 and -70
  Swap 0 and -70
  List after swap: [-70, 0, 25, 89, -50, -94]
  Compare 0 and 25
  No swap needed
  Compare 25 and 89
  No swap needed
  Compare 89 and -50
  Swap 89 and -50
  List after swap: [-70, 0, 25, -50, 89, -94]
  Compare 89 and -94
  Swap 89 and -94
  List after swap: [-70, 0, 25, -50, -94, 89]

Pass 2:
  Compare -70 and 0
  No swap needed
  Compare 0 and 25
  No swap needed
  Compare 25 and -50
  Swap 25 and -50
  List after swap: [-70, 0, -50, 25, -94, 89]
  Compare 25 and -94
  Swap 25 and -94
  List after swap: [-70, 0, -50, -94, 25, 89]

Pass 3:
  Compare -70 and 0
  No swap needed
  Compare 0 and -50
  Swap 0 and -50
  List after swap: [-70, -50, 0, -94, 25, 89]
  Compare 0 and -94
  Swap 0 and -94
  List after swap: [-70, -50, -94, 0, 25, 89]

Pass 4:
  Compare -70 and -50
  No swap needed
  Compare -50 and -94
  Swap -50 and -94
  List after swap: [-70, -94, -50, 0, 25, 89]

Pass 5:
  Compare -70 and -94
  Swap -70 and -94
  List after swap: [-94, -70, -50, 0, 25, 89]

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

Final sorted list: [-94, -70, -50, 0, 25, 89]
</think>

<response>-94, -70, -50, 0, 25, 89</response>


input: Sort the list -71, -1, 59, -28 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-71, -1, 59, -28]

Pass 1:
  Compare -71 and -1
  No swap needed
  Compare -1 and 59
  No swap needed
  Compare 59 and -28
  Swap 59 and -28
  List after swap: [-71, -1, -28, 59]

Pass 2:
  Compare -71 and -1
  No swap needed
  Compare -1 and -28
  Swap -1 and -28
  List after swap: [-71, -28, -1, 59]

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

Final sorted list: [-71, -28, -1, 59]
</think>

<response>-71, -28, -1, 59</response>


input: Sort these integers 51, 45, 32, 53, -87, -65, 80 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [51, 45, 32, 53, -87, -65, 80]

Pass 1:
  Compare 51 and 45
  Swap 51 and 45
  List after swap: [45, 51, 32, 53, -87, -65, 80]
  Compare 51 and 32
  Swap 51 and 32
  List after swap: [45, 32, 51, 53, -87, -65, 80]
  Compare 51 and 53
  No swap needed
  Compare 53 and -87
  Swap 53 and -87
  List after swap: [45, 32, 51, -87, 53, -65, 80]
  Compare 53 and -65
  Swap 53 and -65
  List after swap: [45, 32, 51, -87, -65, 53, 80]
  Compare 53 and 80
  No swap needed

Pass 2:
  Compare 45 and 32
  Swap 45 and 32
  List after swap: [32, 45, 51, -87, -65, 53, 80]
  Compare 45 and 51
  No swap needed
  Compare 51 and -87
  Swap 51 and -87
  List after swap: [32, 45, -87, 51, -65, 53, 80]
  Compare 51 and -65
  Swap 51 and -65
  List after swap: [32, 45, -87, -65, 51, 53, 80]
  Compare 51 and 53
  No swap needed

Pass 3:
  Compare 32 and 45
  No swap needed
  Compare 45 and -87
  Swap 45 and -87
  List after swap: [32, -87, 45, -65, 51, 53, 80]
  Compare 45 and -65
  Swap 45 and -65
  List after swap: [32, -87, -65, 45, 51, 53, 80]
  Compare 45 and 51
  No swap needed

Pass 4:
  Compare 32 and -87
  Swap 32 and -87
  List after swap: [-87, 32, -65, 45, 51, 53, 80]
  Compare 32 and -65
  Swap 32 and -65
  List after swap: [-87, -65, 32, 45, 51, 53, 80]
  Compare 32 and 45
  No swap needed

Pass 5:
  Compare -87 and -65
  No swap needed
  Compare -65 and 32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -65, 32, 45, 51, 53, 80]
</think>

<response>-87, -65, 32, 45, 51, 53, 80</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -74, -41, -93, 55, 97.

output:
<think>
Initial list: [-74, -41, -93, 55, 97]

Pass 1:
  Compare -74 and -41
  No swap needed
  Compare -41 and -93
  Swap -41 and -93
  List after swap: [-74, -93, -41, 55, 97]
  Compare -41 and 55
  No swap needed
  Compare 55 and 97
  No swap needed

Pass 2:
  Compare -74 and -93
  Swap -74 and -93
  List after swap: [-93, -74, -41, 55, 97]
  Compare -74 and -41
  No swap needed
  Compare -41 and 55
  No swap needed

Pass 3:
  Compare -93 and -74
  No swap needed
  Compare -74 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -74, -41, 55, 97]
</think>

<response>-93, -74, -41, 55, 97</response>


input: Carry out the bubble sort algorithm on -8, -76, 56, -82 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-8, -76, 56, -82]

Pass 1:
  Compare -8 and -76
  Swap -8 and -76
  List after swap: [-76, -8, 56, -82]
  Compare -8 and 56
  No swap needed
  Compare 56 and -82
  Swap 56 and -82
  List after swap: [-76, -8, -82, 56]

Pass 2:
  Compare -76 and -8
  No swap needed
  Compare -8 and -82
  Swap -8 and -82
  List after swap: [-76, -82, -8, 56]

Pass 3:
  Compare -76 and -82
  Swap -76 and -82
  List after swap: [-82, -76, -8, 56]

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

Final sorted list: [-82, -76, -8, 56]
</think>

<response>-82, -76, -8, 56</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -61, -90.

output:
<think>
Initial list: [-61, -90]

Pass 1:
  Compare -61 and -90
  Swap -61 and -90
  List after swap: [-90, -61]

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

Final sorted list: [-90, -61]
</think>

<response>-90, -61</response>


input: Sort these integers -29, -91 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-29, -91]

Pass 1:
  Compare -29 and -91
  Swap -29 and -91
  List after swap: [-91, -29]

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

Final sorted list: [-91, -29]
</think>

<response>-91, -29</response>


input: Arrange the numbers -67, 48, -71, 15, -51, -99, 3 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-67, 48, -71, 15, -51, -99, 3]

Pass 1:
  Compare -67 and 48
  No swap needed
  Compare 48 and -71
  Swap 48 and -71
  List after swap: [-67, -71, 48, 15, -51, -99, 3]
  Compare 48 and 15
  Swap 48 and 15
  List after swap: [-67, -71, 15, 48, -51, -99, 3]
  Compare 48 and -51
  Swap 48 and -51
  List after swap: [-67, -71, 15, -51, 48, -99, 3]
  Compare 48 and -99
  Swap 48 and -99
  List after swap: [-67, -71, 15, -51, -99, 48, 3]
  Compare 48 and 3
  Swap 48 and 3
  List after swap: [-67, -71, 15, -51, -99, 3, 48]

Pass 2:
  Compare -67 and -71
  Swap -67 and -71
  List after swap: [-71, -67, 15, -51, -99, 3, 48]
  Compare -67 and 15
  No swap needed
  Compare 15 and -51
  Swap 15 and -51
  List after swap: [-71, -67, -51, 15, -99, 3, 48]
  Compare 15 and -99
  Swap 15 and -99
  List after swap: [-71, -67, -51, -99, 15, 3, 48]
  Compare 15 and 3
  Swap 15 and 3
  List after swap: [-71, -67, -51, -99, 3, 15, 48]

Pass 3:
  Compare -71 and -67
  No swap needed
  Compare -67 and -51
  No swap needed
  Compare -51 and -99
  Swap -51 and -99
  List after swap: [-71, -67, -99, -51, 3, 15, 48]
  Compare -51 and 3
  No swap needed

Pass 4:
  Compare -71 and -67
  No swap needed
  Compare -67 and -99
  Swap -67 and -99
  List after swap: [-71, -99, -67, -51, 3, 15, 48]
  Compare -67 and -51
  No swap needed

Pass 5:
  Compare -71 and -99
  Swap -71 and -99
  List after swap: [-99, -71, -67, -51, 3, 15, 48]
  Compare -71 and -67
  No swap needed

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

Final sorted list: [-99, -71, -67, -51, 3, 15, 48]
</think>

<response>-99, -71, -67, -51, 3, 15, 48</response>


input: Demonstrate how bubble sort orders the integers 78, -87, -47, 77, 55, 4, -10, -29, -98, 29 in ascending sequence, showing all steps.

output:
<think>
Initial list: [78, -87, -47, 77, 55, 4, -10, -29, -98, 29]

Pass 1:
  Compare 78 and -87
  Swap 78 and -87
  List after swap: [-87, 78, -47, 77, 55, 4, -10, -29, -98, 29]
  Compare 78 and -47
  Swap 78 and -47
  List after swap: [-87, -47, 78, 77, 55, 4, -10, -29, -98, 29]
  Compare 78 and 77
  Swap 78 and 77
  List after swap: [-87, -47, 77, 78, 55, 4, -10, -29, -98, 29]
  Compare 78 and 55
  Swap 78 and 55
  List after swap: [-87, -47, 77, 55, 78, 4, -10, -29, -98, 29]
  Compare 78 and 4
  Swap 78 and 4
  List after swap: [-87, -47, 77, 55, 4, 78, -10, -29, -98, 29]
  Compare 78 and -10
  Swap 78 and -10
  List after swap: [-87, -47, 77, 55, 4, -10, 78, -29, -98, 29]
  Compare 78 and -29
  Swap 78 and -29
  List after swap: [-87, -47, 77, 55, 4, -10, -29, 78, -98, 29]
  Compare 78 and -98
  Swap 78 and -98
  List after swap: [-87, -47, 77, 55, 4, -10, -29, -98, 78, 29]
  Compare 78 and 29
  Swap 78 and 29
  List after swap: [-87, -47, 77, 55, 4, -10, -29, -98, 29, 78]

Pass 2:
  Compare -87 and -47
  No swap needed
  Compare -47 and 77
  No swap needed
  Compare 77 and 55
  Swap 77 and 55
  List after swap: [-87, -47, 55, 77, 4, -10, -29, -98, 29, 78]
  Compare 77 and 4
  Swap 77 and 4
  List after swap: [-87, -47, 55, 4, 77, -10, -29, -98, 29, 78]
  Compare 77 and -10
  Swap 77 and -10
  List after swap: [-87, -47, 55, 4, -10, 77, -29, -98, 29, 78]
  Compare 77 and -29
  Swap 77 and -29
  List after swap: [-87, -47, 55, 4, -10, -29, 77, -98, 29, 78]
  Compare 77 and -98
  Swap 77 and -98
  List after swap: [-87, -47, 55, 4, -10, -29, -98, 77, 29, 78]
  Compare 77 and 29
  Swap 77 and 29
  List after swap: [-87, -47, 55, 4, -10, -29, -98, 29, 77, 78]

Pass 3:
  Compare -87 and -47
  No swap needed
  Compare -47 and 55
  No swap needed
  Compare 55 and 4
  Swap 55 and 4
  List after swap: [-87, -47, 4, 55, -10, -29, -98, 29, 77, 78]
  Compare 55 and -10
  Swap 55 and -10
  List after swap: [-87, -47, 4, -10, 55, -29, -98, 29, 77, 78]
  Compare 55 and -29
  Swap 55 and -29
  List after swap: [-87, -47, 4, -10, -29, 55, -98, 29, 77, 78]
  Compare 55 and -98
  Swap 55 and -98
  List after swap: [-87, -47, 4, -10, -29, -98, 55, 29, 77, 78]
  Compare 55 and 29
  Swap 55 and 29
  List after swap: [-87, -47, 4, -10, -29, -98, 29, 55, 77, 78]

Pass 4:
  Compare -87 and -47
  No swap needed
  Compare -47 and 4
  No swap needed
  Compare 4 and -10
  Swap 4 and -10
  List after swap: [-87, -47, -10, 4, -29, -98, 29, 55, 77, 78]
  Compare 4 and -29
  Swap 4 and -29
  List after swap: [-87, -47, -10, -29, 4, -98, 29, 55, 77, 78]
  Compare 4 and -98
  Swap 4 and -98
  List after swap: [-87, -47, -10, -29, -98, 4, 29, 55, 77, 78]
  Compare 4 and 29
  No swap needed

Pass 5:
  Compare -87 and -47
  No swap needed
  Compare -47 and -10
  No swap needed
  Compare -10 and -29
  Swap -10 and -29
  List after swap: [-87, -47, -29, -10, -98, 4, 29, 55, 77, 78]
  Compare -10 and -98
  Swap -10 and -98
  List after swap: [-87, -47, -29, -98, -10, 4, 29, 55, 77, 78]
  Compare -10 and 4
  No swap needed

Pass 6:
  Compare -87 and -47
  No swap needed
  Compare -47 and -29
  No swap needed
  Compare -29 and -98
  Swap -29 and -98
  List after swap: [-87, -47, -98, -29, -10, 4, 29, 55, 77, 78]
  Compare -29 and -10
  No swap needed

Pass 7:
  Compare -87 and -47
  No swap needed
  Compare -47 and -98
  Swap -47 and -98
  List after swap: [-87, -98, -47, -29, -10, 4, 29, 55, 77, 78]
  Compare -47 and -29
  No swap needed

Pass 8:
  Compare -87 and -98
  Swap -87 and -98
  List after swap: [-98, -87, -47, -29, -10, 4, 29, 55, 77, 78]
  Compare -87 and -47
  No swap needed

Pass 9:
  Compare -98 and -87
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -87, -47, -29, -10, 4, 29, 55, 77, 78]
</think>

<response>-98, -87, -47, -29, -10, 4, 29, 55, 77, 78</response>


input: Demonstrate how bubble sort orders the integers -58, 19, 34, -36, -43 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-58, 19, 34, -36, -43]

Pass 1:
  Compare -58 and 19
  No swap needed
  Compare 19 and 34
  No swap needed
  Compare 34 and -36
  Swap 34 and -36
  List after swap: [-58, 19, -36, 34, -43]
  Compare 34 and -43
  Swap 34 and -43
  List after swap: [-58, 19, -36, -43, 34]

Pass 2:
  Compare -58 and 19
  No swap needed
  Compare 19 and -36
  Swap 19 and -36
  List after swap: [-58, -36, 19, -43, 34]
  Compare 19 and -43
  Swap 19 and -43
  List after swap: [-58, -36, -43, 19, 34]

Pass 3:
  Compare -58 and -36
  No swap needed
  Compare -36 and -43
  Swap -36 and -43
  List after swap: [-58, -43, -36, 19, 34]

Pass 4:
  Compare -58 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -43, -36, 19, 34]
</think>

<response>-58, -43, -36, 19, 34</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -50, 2, -79, 38, 13, -53.

output:
<think>
Initial list: [-50, 2, -79, 38, 13, -53]

Pass 1:
  Compare -50 and 2
  No swap needed
  Compare 2 and -79
  Swap 2 and -79
  List after swap: [-50, -79, 2, 38, 13, -53]
  Compare 2 and 38
  No swap needed
  Compare 38 and 13
  Swap 38 and 13
  List after swap: [-50, -79, 2, 13, 38, -53]
  Compare 38 and -53
  Swap 38 and -53
  List after swap: [-50, -79, 2, 13, -53, 38]

Pass 2:
  Compare -50 and -79
  Swap -50 and -79
  List after swap: [-79, -50, 2, 13, -53, 38]
  Compare -50 and 2
  No swap needed
  Compare 2 and 13
  No swap needed
  Compare 13 and -53
  Swap 13 and -53
  List after swap: [-79, -50, 2, -53, 13, 38]

Pass 3:
  Compare -79 and -50
  No swap needed
  Compare -50 and 2
  No swap needed
  Compare 2 and -53
  Swap 2 and -53
  List after swap: [-79, -50, -53, 2, 13, 38]

Pass 4:
  Compare -79 and -50
  No swap needed
  Compare -50 and -53
  Swap -50 and -53
  List after swap: [-79, -53, -50, 2, 13, 38]

Pass 5:
  Compare -79 and -53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -53, -50, 2, 13, 38]
</think>

<response>-79, -53, -50, 2, 13, 38</response>


input: Using the bubble sort method, sort 46, 23, 44, -50 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [46, 23, 44, -50]

Pass 1:
  Compare 46 and 23
  Swap 46 and 23
  List after swap: [23, 46, 44, -50]
  Compare 46 and 44
  Swap 46 and 44
  List after swap: [23, 44, 46, -50]
  Compare 46 and -50
  Swap 46 and -50
  List after swap: [23, 44, -50, 46]

Pass 2:
  Compare 23 and 44
  No swap needed
  Compare 44 and -50
  Swap 44 and -50
  List after swap: [23, -50, 44, 46]

Pass 3:
  Compare 23 and -50
  Swap 23 and -50
  List after swap: [-50, 23, 44, 46]

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

Final sorted list: [-50, 23, 44, 46]
</think>

<response>-50, 23, 44, 46</response>


input: Sort the list 40, -57, 55, 98, -22, -69, -24, -34 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [40, -57, 55, 98, -22, -69, -24, -34]

Pass 1:
  Compare 40 and -57
  Swap 40 and -57
  List after swap: [-57, 40, 55, 98, -22, -69, -24, -34]
  Compare 40 and 55
  No swap needed
  Compare 55 and 98
  No swap needed
  Compare 98 and -22
  Swap 98 and -22
  List after swap: [-57, 40, 55, -22, 98, -69, -24, -34]
  Compare 98 and -69
  Swap 98 and -69
  List after swap: [-57, 40, 55, -22, -69, 98, -24, -34]
  Compare 98 and -24
  Swap 98 and -24
  List after swap: [-57, 40, 55, -22, -69, -24, 98, -34]
  Compare 98 and -34
  Swap 98 and -34
  List after swap: [-57, 40, 55, -22, -69, -24, -34, 98]

Pass 2:
  Compare -57 and 40
  No swap needed
  Compare 40 and 55
  No swap needed
  Compare 55 and -22
  Swap 55 and -22
  List after swap: [-57, 40, -22, 55, -69, -24, -34, 98]
  Compare 55 and -69
  Swap 55 and -69
  List after swap: [-57, 40, -22, -69, 55, -24, -34, 98]
  Compare 55 and -24
  Swap 55 and -24
  List after swap: [-57, 40, -22, -69, -24, 55, -34, 98]
  Compare 55 and -34
  Swap 55 and -34
  List after swap: [-57, 40, -22, -69, -24, -34, 55, 98]

Pass 3:
  Compare -57 and 40
  No swap needed
  Compare 40 and -22
  Swap 40 and -22
  List after swap: [-57, -22, 40, -69, -24, -34, 55, 98]
  Compare 40 and -69
  Swap 40 and -69
  List after swap: [-57, -22, -69, 40, -24, -34, 55, 98]
  Compare 40 and -24
  Swap 40 and -24
  List after swap: [-57, -22, -69, -24, 40, -34, 55, 98]
  Compare 40 and -34
  Swap 40 and -34
  List after swap: [-57, -22, -69, -24, -34, 40, 55, 98]

Pass 4:
  Compare -57 and -22
  No swap needed
  Compare -22 and -69
  Swap -22 and -69
  List after swap: [-57, -69, -22, -24, -34, 40, 55, 98]
  Compare -22 and -24
  Swap -22 and -24
  List after swap: [-57, -69, -24, -22, -34, 40, 55, 98]
  Compare -22 and -34
  Swap -22 and -34
  List after swap: [-57, -69, -24, -34, -22, 40, 55, 98]

Pass 5:
  Compare -57 and -69
  Swap -57 and -69
  List after swap: [-69, -57, -24, -34, -22, 40, 55, 98]
  Compare -57 and -24
  No swap needed
  Compare -24 and -34
  Swap -24 and -34
  List after swap: [-69, -57, -34, -24, -22, 40, 55, 98]

Pass 6:
  Compare -69 and -57
  No swap needed
  Compare -57 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -57, -34, -24, -22, 40, 55, 98]
</think>

<response>-69, -57, -34, -24, -22, 40, 55, 98</response>


input: Demonstrate how bubble sort orders the integers 84, -66, -53, -68, 65, -52, -33, -63, 70, -44 in ascending sequence, showing all steps.

output:
<think>
Initial list: [84, -66, -53, -68, 65, -52, -33, -63, 70, -44]

Pass 1:
  Compare 84 and -66
  Swap 84 and -66
  List after swap: [-66, 84, -53, -68, 65, -52, -33, -63, 70, -44]
  Compare 84 and -53
  Swap 84 and -53
  List after swap: [-66, -53, 84, -68, 65, -52, -33, -63, 70, -44]
  Compare 84 and -68
  Swap 84 and -68
  List after swap: [-66, -53, -68, 84, 65, -52, -33, -63, 70, -44]
  Compare 84 and 65
  Swap 84 and 65
  List after swap: [-66, -53, -68, 65, 84, -52, -33, -63, 70, -44]
  Compare 84 and -52
  Swap 84 and -52
  List after swap: [-66, -53, -68, 65, -52, 84, -33, -63, 70, -44]
  Compare 84 and -33
  Swap 84 and -33
  List after swap: [-66, -53, -68, 65, -52, -33, 84, -63, 70, -44]
  Compare 84 and -63
  Swap 84 and -63
  List after swap: [-66, -53, -68, 65, -52, -33, -63, 84, 70, -44]
  Compare 84 and 70
  Swap 84 and 70
  List after swap: [-66, -53, -68, 65, -52, -33, -63, 70, 84, -44]
  Compare 84 and -44
  Swap 84 and -44
  List after swap: [-66, -53, -68, 65, -52, -33, -63, 70, -44, 84]

Pass 2:
  Compare -66 and -53
  No swap needed
  Compare -53 and -68
  Swap -53 and -68
  List after swap: [-66, -68, -53, 65, -52, -33, -63, 70, -44, 84]
  Compare -53 and 65
  No swap needed
  Compare 65 and -52
  Swap 65 and -52
  List after swap: [-66, -68, -53, -52, 65, -33, -63, 70, -44, 84]
  Compare 65 and -33
  Swap 65 and -33
  List after swap: [-66, -68, -53, -52, -33, 65, -63, 70, -44, 84]
  Compare 65 and -63
  Swap 65 and -63
  List after swap: [-66, -68, -53, -52, -33, -63, 65, 70, -44, 84]
  Compare 65 and 70
  No swap needed
  Compare 70 and -44
  Swap 70 and -44
  List after swap: [-66, -68, -53, -52, -33, -63, 65, -44, 70, 84]

Pass 3:
  Compare -66 and -68
  Swap -66 and -68
  List after swap: [-68, -66, -53, -52, -33, -63, 65, -44, 70, 84]
  Compare -66 and -53
  No swap needed
  Compare -53 and -52
  No swap needed
  Compare -52 and -33
  No swap needed
  Compare -33 and -63
  Swap -33 and -63
  List after swap: [-68, -66, -53, -52, -63, -33, 65, -44, 70, 84]
  Compare -33 and 65
  No swap needed
  Compare 65 and -44
  Swap 65 and -44
  List after swap: [-68, -66, -53, -52, -63, -33, -44, 65, 70, 84]

Pass 4:
  Compare -68 and -66
  No swap needed
  Compare -66 and -53
  No swap needed
  Compare -53 and -52
  No swap needed
  Compare -52 and -63
  Swap -52 and -63
  List after swap: [-68, -66, -53, -63, -52, -33, -44, 65, 70, 84]
  Compare -52 and -33
  No swap needed
  Compare -33 and -44
  Swap -33 and -44
  List after swap: [-68, -66, -53, -63, -52, -44, -33, 65, 70, 84]

Pass 5:
  Compare -68 and -66
  No swap needed
  Compare -66 and -53
  No swap needed
  Compare -53 and -63
  Swap -53 and -63
  List after swap: [-68, -66, -63, -53, -52, -44, -33, 65, 70, 84]
  Compare -53 and -52
  No swap needed
  Compare -52 and -44
  No swap needed

Pass 6:
  Compare -68 and -66
  No swap needed
  Compare -66 and -63
  No swap needed
  Compare -63 and -53
  No swap needed
  Compare -53 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -66, -63, -53, -52, -44, -33, 65, 70, 84]
</think>

<response>-68, -66, -63, -53, -52, -44, -33, 65, 70, 84</response>


input: Use the bubble sort technique to reorder 39, 63, 86, -29, 28, -74, -27, -39, -53, 31 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [39, 63, 86, -29, 28, -74, -27, -39, -53, 31]

Pass 1:
  Compare 39 and 63
  No swap needed
  Compare 63 and 86
  No swap needed
  Compare 86 and -29
  Swap 86 and -29
  List after swap: [39, 63, -29, 86, 28, -74, -27, -39, -53, 31]
  Compare 86 and 28
  Swap 86 and 28
  List after swap: [39, 63, -29, 28, 86, -74, -27, -39, -53, 31]
  Compare 86 and -74
  Swap 86 and -74
  List after swap: [39, 63, -29, 28, -74, 86, -27, -39, -53, 31]
  Compare 86 and -27
  Swap 86 and -27
  List after swap: [39, 63, -29, 28, -74, -27, 86, -39, -53, 31]
  Compare 86 and -39
  Swap 86 and -39
  List after swap: [39, 63, -29, 28, -74, -27, -39, 86, -53, 31]
  Compare 86 and -53
  Swap 86 and -53
  List after swap: [39, 63, -29, 28, -74, -27, -39, -53, 86, 31]
  Compare 86 and 31
  Swap 86 and 31
  List after swap: [39, 63, -29, 28, -74, -27, -39, -53, 31, 86]

Pass 2:
  Compare 39 and 63
  No swap needed
  Compare 63 and -29
  Swap 63 and -29
  List after swap: [39, -29, 63, 28, -74, -27, -39, -53, 31, 86]
  Compare 63 and 28
  Swap 63 and 28
  List after swap: [39, -29, 28, 63, -74, -27, -39, -53, 31, 86]
  Compare 63 and -74
  Swap 63 and -74
  List after swap: [39, -29, 28, -74, 63, -27, -39, -53, 31, 86]
  Compare 63 and -27
  Swap 63 and -27
  List after swap: [39, -29, 28, -74, -27, 63, -39, -53, 31, 86]
  Compare 63 and -39
  Swap 63 and -39
  List after swap: [39, -29, 28, -74, -27, -39, 63, -53, 31, 86]
  Compare 63 and -53
  Swap 63 and -53
  List after swap: [39, -29, 28, -74, -27, -39, -53, 63, 31, 86]
  Compare 63 and 31
  Swap 63 and 31
  List after swap: [39, -29, 28, -74, -27, -39, -53, 31, 63, 86]

Pass 3:
  Compare 39 and -29
  Swap 39 and -29
  List after swap: [-29, 39, 28, -74, -27, -39, -53, 31, 63, 86]
  Compare 39 and 28
  Swap 39 and 28
  List after swap: [-29, 28, 39, -74, -27, -39, -53, 31, 63, 86]
  Compare 39 and -74
  Swap 39 and -74
  List after swap: [-29, 28, -74, 39, -27, -39, -53, 31, 63, 86]
  Compare 39 and -27
  Swap 39 and -27
  List after swap: [-29, 28, -74, -27, 39, -39, -53, 31, 63, 86]
  Compare 39 and -39
  Swap 39 and -39
  List after swap: [-29, 28, -74, -27, -39, 39, -53, 31, 63, 86]
  Compare 39 and -53
  Swap 39 and -53
  List after swap: [-29, 28, -74, -27, -39, -53, 39, 31, 63, 86]
  Compare 39 and 31
  Swap 39 and 31
  List after swap: [-29, 28, -74, -27, -39, -53, 31, 39, 63, 86]

Pass 4:
  Compare -29 and 28
  No swap needed
  Compare 28 and -74
  Swap 28 and -74
  List after swap: [-29, -74, 28, -27, -39, -53, 31, 39, 63, 86]
  Compare 28 and -27
  Swap 28 and -27
  List after swap: [-29, -74, -27, 28, -39, -53, 31, 39, 63, 86]
  Compare 28 and -39
  Swap 28 and -39
  List after swap: [-29, -74, -27, -39, 28, -53, 31, 39, 63, 86]
  Compare 28 and -53
  Swap 28 and -53
  List after swap: [-29, -74, -27, -39, -53, 28, 31, 39, 63, 86]
  Compare 28 and 31
  No swap needed

Pass 5:
  Compare -29 and -74
  Swap -29 and -74
  List after swap: [-74, -29, -27, -39, -53, 28, 31, 39, 63, 86]
  Compare -29 and -27
  No swap needed
  Compare -27 and -39
  Swap -27 and -39
  List after swap: [-74, -29, -39, -27, -53, 28, 31, 39, 63, 86]
  Compare -27 and -53
  Swap -27 and -53
  List after swap: [-74, -29, -39, -53, -27, 28, 31, 39, 63, 86]
  Compare -27 and 28
  No swap needed

Pass 6:
  Compare -74 and -29
  No swap needed
  Compare -29 and -39
  Swap -29 and -39
  List after swap: [-74, -39, -29, -53, -27, 28, 31, 39, 63, 86]
  Compare -29 and -53
  Swap -29 and -53
  List after swap: [-74, -39, -53, -29, -27, 28, 31, 39, 63, 86]
  Compare -29 and -27
  No swap needed

Pass 7:
  Compare -74 and -39
  No swap needed
  Compare -39 and -53
  Swap -39 and -53
  List after swap: [-74, -53, -39, -29, -27, 28, 31, 39, 63, 86]
  Compare -39 and -29
  No swap needed

Pass 8:
  Compare -74 and -53
  No swap needed
  Compare -53 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -53, -39, -29, -27, 28, 31, 39, 63, 86]
</think>

<response>-74, -53, -39, -29, -27, 28, 31, 39, 63, 86</response>


input: Sort these integers 79, 9, 63, -29, 35, 88, -13, 69, -27 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [79, 9, 63, -29, 35, 88, -13, 69, -27]

Pass 1:
  Compare 79 and 9
  Swap 79 and 9
  List after swap: [9, 79, 63, -29, 35, 88, -13, 69, -27]
  Compare 79 and 63
  Swap 79 and 63
  List after swap: [9, 63, 79, -29, 35, 88, -13, 69, -27]
  Compare 79 and -29
  Swap 79 and -29
  List after swap: [9, 63, -29, 79, 35, 88, -13, 69, -27]
  Compare 79 and 35
  Swap 79 and 35
  List after swap: [9, 63, -29, 35, 79, 88, -13, 69, -27]
  Compare 79 and 88
  No swap needed
  Compare 88 and -13
  Swap 88 and -13
  List after swap: [9, 63, -29, 35, 79, -13, 88, 69, -27]
  Compare 88 and 69
  Swap 88 and 69
  List after swap: [9, 63, -29, 35, 79, -13, 69, 88, -27]
  Compare 88 and -27
  Swap 88 and -27
  List after swap: [9, 63, -29, 35, 79, -13, 69, -27, 88]

Pass 2:
  Compare 9 and 63
  No swap needed
  Compare 63 and -29
  Swap 63 and -29
  List after swap: [9, -29, 63, 35, 79, -13, 69, -27, 88]
  Compare 63 and 35
  Swap 63 and 35
  List after swap: [9, -29, 35, 63, 79, -13, 69, -27, 88]
  Compare 63 and 79
  No swap needed
  Compare 79 and -13
  Swap 79 and -13
  List after swap: [9, -29, 35, 63, -13, 79, 69, -27, 88]
  Compare 79 and 69
  Swap 79 and 69
  List after swap: [9, -29, 35, 63, -13, 69, 79, -27, 88]
  Compare 79 and -27
  Swap 79 and -27
  List after swap: [9, -29, 35, 63, -13, 69, -27, 79, 88]

Pass 3:
  Compare 9 and -29
  Swap 9 and -29
  List after swap: [-29, 9, 35, 63, -13, 69, -27, 79, 88]
  Compare 9 and 35
  No swap needed
  Compare 35 and 63
  No swap needed
  Compare 63 and -13
  Swap 63 and -13
  List after swap: [-29, 9, 35, -13, 63, 69, -27, 79, 88]
  Compare 63 and 69
  No swap needed
  Compare 69 and -27
  Swap 69 and -27
  List after swap: [-29, 9, 35, -13, 63, -27, 69, 79, 88]

Pass 4:
  Compare -29 and 9
  No swap needed
  Compare 9 and 35
  No swap needed
  Compare 35 and -13
  Swap 35 and -13
  List after swap: [-29, 9, -13, 35, 63, -27, 69, 79, 88]
  Compare 35 and 63
  No swap needed
  Compare 63 and -27
  Swap 63 and -27
  List after swap: [-29, 9, -13, 35, -27, 63, 69, 79, 88]

Pass 5:
  Compare -29 and 9
  No swap needed
  Compare 9 and -13
  Swap 9 and -13
  List after swap: [-29, -13, 9, 35, -27, 63, 69, 79, 88]
  Compare 9 and 35
  No swap needed
  Compare 35 and -27
  Swap 35 and -27
  List after swap: [-29, -13, 9, -27, 35, 63, 69, 79, 88]

Pass 6:
  Compare -29 and -13
  No swap needed
  Compare -13 and 9
  No swap needed
  Compare 9 and -27
  Swap 9 and -27
  List after swap: [-29, -13, -27, 9, 35, 63, 69, 79, 88]

Pass 7:
  Compare -29 and -13
  No swap needed
  Compare -13 and -27
  Swap -13 and -27
  List after swap: [-29, -27, -13, 9, 35, 63, 69, 79, 88]

Pass 8:
  Compare -29 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-29, -27, -13, 9, 35, 63, 69, 79, 88]
</think>

<response>-29, -27, -13, 9, 35, 63, 69, 79, 88</response>


input: Carry out the bubble sort algorithm on -56, -98, -85, -97, -1, 39 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-56, -98, -85, -97, -1, 39]

Pass 1:
  Compare -56 and -98
  Swap -56 and -98
  List after swap: [-98, -56, -85, -97, -1, 39]
  Compare -56 and -85
  Swap -56 and -85
  List after swap: [-98, -85, -56, -97, -1, 39]
  Compare -56 and -97
  Swap -56 and -97
  List after swap: [-98, -85, -97, -56, -1, 39]
  Compare -56 and -1
  No swap needed
  Compare -1 and 39
  No swap needed

Pass 2:
  Compare -98 and -85
  No swap needed
  Compare -85 and -97
  Swap -85 and -97
  List after swap: [-98, -97, -85, -56, -1, 39]
  Compare -85 and -56
  No swap needed
  Compare -56 and -1
  No swap needed

Pass 3:
  Compare -98 and -97
  No swap needed
  Compare -97 and -85
  No swap needed
  Compare -85 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -97, -85, -56, -1, 39]
</think>

<response>-98, -97, -85, -56, -1, 39</response>


input: Using the bubble sort method, sort -3, 70, 19, -85, 50, -98, 68 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-3, 70, 19, -85, 50, -98, 68]

Pass 1:
  Compare -3 and 70
  No swap needed
  Compare 70 and 19
  Swap 70 and 19
  List after swap: [-3, 19, 70, -85, 50, -98, 68]
  Compare 70 and -85
  Swap 70 and -85
  List after swap: [-3, 19, -85, 70, 50, -98, 68]
  Compare 70 and 50
  Swap 70 and 50
  List after swap: [-3, 19, -85, 50, 70, -98, 68]
  Compare 70 and -98
  Swap 70 and -98
  List after swap: [-3, 19, -85, 50, -98, 70, 68]
  Compare 70 and 68
  Swap 70 and 68
  List after swap: [-3, 19, -85, 50, -98, 68, 70]

Pass 2:
  Compare -3 and 19
  No swap needed
  Compare 19 and -85
  Swap 19 and -85
  List after swap: [-3, -85, 19, 50, -98, 68, 70]
  Compare 19 and 50
  No swap needed
  Compare 50 and -98
  Swap 50 and -98
  List after swap: [-3, -85, 19, -98, 50, 68, 70]
  Compare 50 and 68
  No swap needed

Pass 3:
  Compare -3 and -85
  Swap -3 and -85
  List after swap: [-85, -3, 19, -98, 50, 68, 70]
  Compare -3 and 19
  No swap needed
  Compare 19 and -98
  Swap 19 and -98
  List after swap: [-85, -3, -98, 19, 50, 68, 70]
  Compare 19 and 50
  No swap needed

Pass 4:
  Compare -85 and -3
  No swap needed
  Compare -3 and -98
  Swap -3 and -98
  List after swap: [-85, -98, -3, 19, 50, 68, 70]
  Compare -3 and 19
  No swap needed

Pass 5:
  Compare -85 and -98
  Swap -85 and -98
  List after swap: [-98, -85, -3, 19, 50, 68, 70]
  Compare -85 and -3
  No swap needed

Pass 6:
  Compare -98 and -85
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -85, -3, 19, 50, 68, 70]
</think>

<response>-98, -85, -3, 19, 50, 68, 70</response>


input: Demonstrate how bubble sort orders the integers 25, -35 in ascending sequence, showing all steps.

output:
<think>
Initial list: [25, -35]

Pass 1:
  Compare 25 and -35
  Swap 25 and -35
  List after swap: [-35, 25]

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

Final sorted list: [-35, 25]
</think>

<response>-35, 25</response>


input: Using the bubble sort method, sort 25, -26, 44, 22, 77, 28, -39, -1, -58 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [25, -26, 44, 22, 77, 28, -39, -1, -58]

Pass 1:
  Compare 25 and -26
  Swap 25 and -26
  List after swap: [-26, 25, 44, 22, 77, 28, -39, -1, -58]
  Compare 25 and 44
  No swap needed
  Compare 44 and 22
  Swap 44 and 22
  List after swap: [-26, 25, 22, 44, 77, 28, -39, -1, -58]
  Compare 44 and 77
  No swap needed
  Compare 77 and 28
  Swap 77 and 28
  List after swap: [-26, 25, 22, 44, 28, 77, -39, -1, -58]
  Compare 77 and -39
  Swap 77 and -39
  List after swap: [-26, 25, 22, 44, 28, -39, 77, -1, -58]
  Compare 77 and -1
  Swap 77 and -1
  List after swap: [-26, 25, 22, 44, 28, -39, -1, 77, -58]
  Compare 77 and -58
  Swap 77 and -58
  List after swap: [-26, 25, 22, 44, 28, -39, -1, -58, 77]

Pass 2:
  Compare -26 and 25
  No swap needed
  Compare 25 and 22
  Swap 25 and 22
  List after swap: [-26, 22, 25, 44, 28, -39, -1, -58, 77]
  Compare 25 and 44
  No swap needed
  Compare 44 and 28
  Swap 44 and 28
  List after swap: [-26, 22, 25, 28, 44, -39, -1, -58, 77]
  Compare 44 and -39
  Swap 44 and -39
  List after swap: [-26, 22, 25, 28, -39, 44, -1, -58, 77]
  Compare 44 and -1
  Swap 44 and -1
  List after swap: [-26, 22, 25, 28, -39, -1, 44, -58, 77]
  Compare 44 and -58
  Swap 44 and -58
  List after swap: [-26, 22, 25, 28, -39, -1, -58, 44, 77]

Pass 3:
  Compare -26 and 22
  No swap needed
  Compare 22 and 25
  No swap needed
  Compare 25 and 28
  No swap needed
  Compare 28 and -39
  Swap 28 and -39
  List after swap: [-26, 22, 25, -39, 28, -1, -58, 44, 77]
  Compare 28 and -1
  Swap 28 and -1
  List after swap: [-26, 22, 25, -39, -1, 28, -58, 44, 77]
  Compare 28 and -58
  Swap 28 and -58
  List after swap: [-26, 22, 25, -39, -1, -58, 28, 44, 77]

Pass 4:
  Compare -26 and 22
  No swap needed
  Compare 22 and 25
  No swap needed
  Compare 25 and -39
  Swap 25 and -39
  List after swap: [-26, 22, -39, 25, -1, -58, 28, 44, 77]
  Compare 25 and -1
  Swap 25 and -1
  List after swap: [-26, 22, -39, -1, 25, -58, 28, 44, 77]
  Compare 25 and -58
  Swap 25 and -58
  List after swap: [-26, 22, -39, -1, -58, 25, 28, 44, 77]

Pass 5:
  Compare -26 and 22
  No swap needed
  Compare 22 and -39
  Swap 22 and -39
  List after swap: [-26, -39, 22, -1, -58, 25, 28, 44, 77]
  Compare 22 and -1
  Swap 22 and -1
  List after swap: [-26, -39, -1, 22, -58, 25, 28, 44, 77]
  Compare 22 and -58
  Swap 22 and -58
  List after swap: [-26, -39, -1, -58, 22, 25, 28, 44, 77]

Pass 6:
  Compare -26 and -39
  Swap -26 and -39
  List after swap: [-39, -26, -1, -58, 22, 25, 28, 44, 77]
  Compare -26 and -1
  No swap needed
  Compare -1 and -58
  Swap -1 and -58
  List after swap: [-39, -26, -58, -1, 22, 25, 28, 44, 77]

Pass 7:
  Compare -39 and -26
  No swap needed
  Compare -26 and -58
  Swap -26 and -58
  List after swap: [-39, -58, -26, -1, 22, 25, 28, 44, 77]

Pass 8:
  Compare -39 and -58
  Swap -39 and -58
  List after swap: [-58, -39, -26, -1, 22, 25, 28, 44, 77]

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

Final sorted list: [-58, -39, -26, -1, 22, 25, 28, 44, 77]
</think>

<response>-58, -39, -26, -1, 22, 25, 28, 44, 77</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 14, -73, -66, -64, 70, 38, -40.

output:
<think>
Initial list: [14, -73, -66, -64, 70, 38, -40]

Pass 1:
  Compare 14 and -73
  Swap 14 and -73
  List after swap: [-73, 14, -66, -64, 70, 38, -40]
  Compare 14 and -66
  Swap 14 and -66
  List after swap: [-73, -66, 14, -64, 70, 38, -40]
  Compare 14 and -64
  Swap 14 and -64
  List after swap: [-73, -66, -64, 14, 70, 38, -40]
  Compare 14 and 70
  No swap needed
  Compare 70 and 38
  Swap 70 and 38
  List after swap: [-73, -66, -64, 14, 38, 70, -40]
  Compare 70 and -40
  Swap 70 and -40
  List after swap: [-73, -66, -64, 14, 38, -40, 70]

Pass 2:
  Compare -73 and -66
  No swap needed
  Compare -66 and -64
  No swap needed
  Compare -64 and 14
  No swap needed
  Compare 14 and 38
  No swap needed
  Compare 38 and -40
  Swap 38 and -40
  List after swap: [-73, -66, -64, 14, -40, 38, 70]

Pass 3:
  Compare -73 and -66
  No swap needed
  Compare -66 and -64
  No swap needed
  Compare -64 and 14
  No swap needed
  Compare 14 and -40
  Swap 14 and -40
  List after swap: [-73, -66, -64, -40, 14, 38, 70]

Pass 4:
  Compare -73 and -66
  No swap needed
  Compare -66 and -64
  No swap needed
  Compare -64 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -66, -64, -40, 14, 38, 70]
</think>

<response>-73, -66, -64, -40, 14, 38, 70</response>


input: Perform a bubble sort on the integers -87, 27, -40, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-87, 27, -40]

Pass 1:
  Compare -87 and 27
  No swap needed
  Compare 27 and -40
  Swap 27 and -40
  List after swap: [-87, -40, 27]

Pass 2:
  Compare -87 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -40, 27]
</think>

<response>-87, -40, 27</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 81, 56, -88, 84, -29, 14, 50, -44, -50, -18.

output:
<think>
Initial list: [81, 56, -88, 84, -29, 14, 50, -44, -50, -18]

Pass 1:
  Compare 81 and 56
  Swap 81 and 56
  List after swap: [56, 81, -88, 84, -29, 14, 50, -44, -50, -18]
  Compare 81 and -88
  Swap 81 and -88
  List after swap: [56, -88, 81, 84, -29, 14, 50, -44, -50, -18]
  Compare 81 and 84
  No swap needed
  Compare 84 and -29
  Swap 84 and -29
  List after swap: [56, -88, 81, -29, 84, 14, 50, -44, -50, -18]
  Compare 84 and 14
  Swap 84 and 14
  List after swap: [56, -88, 81, -29, 14, 84, 50, -44, -50, -18]
  Compare 84 and 50
  Swap 84 and 50
  List after swap: [56, -88, 81, -29, 14, 50, 84, -44, -50, -18]
  Compare 84 and -44
  Swap 84 and -44
  List after swap: [56, -88, 81, -29, 14, 50, -44, 84, -50, -18]
  Compare 84 and -50
  Swap 84 and -50
  List after swap: [56, -88, 81, -29, 14, 50, -44, -50, 84, -18]
  Compare 84 and -18
  Swap 84 and -18
  List after swap: [56, -88, 81, -29, 14, 50, -44, -50, -18, 84]

Pass 2:
  Compare 56 and -88
  Swap 56 and -88
  List after swap: [-88, 56, 81, -29, 14, 50, -44, -50, -18, 84]
  Compare 56 and 81
  No swap needed
  Compare 81 and -29
  Swap 81 and -29
  List after swap: [-88, 56, -29, 81, 14, 50, -44, -50, -18, 84]
  Compare 81 and 14
  Swap 81 and 14
  List after swap: [-88, 56, -29, 14, 81, 50, -44, -50, -18, 84]
  Compare 81 and 50
  Swap 81 and 50
  List after swap: [-88, 56, -29, 14, 50, 81, -44, -50, -18, 84]
  Compare 81 and -44
  Swap 81 and -44
  List after swap: [-88, 56, -29, 14, 50, -44, 81, -50, -18, 84]
  Compare 81 and -50
  Swap 81 and -50
  List after swap: [-88, 56, -29, 14, 50, -44, -50, 81, -18, 84]
  Compare 81 and -18
  Swap 81 and -18
  List after swap: [-88, 56, -29, 14, 50, -44, -50, -18, 81, 84]

Pass 3:
  Compare -88 and 56
  No swap needed
  Compare 56 and -29
  Swap 56 and -29
  List after swap: [-88, -29, 56, 14, 50, -44, -50, -18, 81, 84]
  Compare 56 and 14
  Swap 56 and 14
  List after swap: [-88, -29, 14, 56, 50, -44, -50, -18, 81, 84]
  Compare 56 and 50
  Swap 56 and 50
  List after swap: [-88, -29, 14, 50, 56, -44, -50, -18, 81, 84]
  Compare 56 and -44
  Swap 56 and -44
  List after swap: [-88, -29, 14, 50, -44, 56, -50, -18, 81, 84]
  Compare 56 and -50
  Swap 56 and -50
  List after swap: [-88, -29, 14, 50, -44, -50, 56, -18, 81, 84]
  Compare 56 and -18
  Swap 56 and -18
  List after swap: [-88, -29, 14, 50, -44, -50, -18, 56, 81, 84]

Pass 4:
  Compare -88 and -29
  No swap needed
  Compare -29 and 14
  No swap needed
  Compare 14 and 50
  No swap needed
  Compare 50 and -44
  Swap 50 and -44
  List after swap: [-88, -29, 14, -44, 50, -50, -18, 56, 81, 84]
  Compare 50 and -50
  Swap 50 and -50
  List after swap: [-88, -29, 14, -44, -50, 50, -18, 56, 81, 84]
  Compare 50 and -18
  Swap 50 and -18
  List after swap: [-88, -29, 14, -44, -50, -18, 50, 56, 81, 84]

Pass 5:
  Compare -88 and -29
  No swap needed
  Compare -29 and 14
  No swap needed
  Compare 14 and -44
  Swap 14 and -44
  List after swap: [-88, -29, -44, 14, -50, -18, 50, 56, 81, 84]
  Compare 14 and -50
  Swap 14 and -50
  List after swap: [-88, -29, -44, -50, 14, -18, 50, 56, 81, 84]
  Compare 14 and -18
  Swap 14 and -18
  List after swap: [-88, -29, -44, -50, -18, 14, 50, 56, 81, 84]

Pass 6:
  Compare -88 and -29
  No swap needed
  Compare -29 and -44
  Swap -29 and -44
  List after swap: [-88, -44, -29, -50, -18, 14, 50, 56, 81, 84]
  Compare -29 and -50
  Swap -29 and -50
  List after swap: [-88, -44, -50, -29, -18, 14, 50, 56, 81, 84]
  Compare -29 and -18
  No swap needed

Pass 7:
  Compare -88 and -44
  No swap needed
  Compare -44 and -50
  Swap -44 and -50
  List after swap: [-88, -50, -44, -29, -18, 14, 50, 56, 81, 84]
  Compare -44 and -29
  No swap needed

Pass 8:
  Compare -88 and -50
  No swap needed
  Compare -50 and -44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -50, -44, -29, -18, 14, 50, 56, 81, 84]
</think>

<response>-88, -50, -44, -29, -18, 14, 50, 56, 81, 84</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -6, -10, -17, 43, -65, -22, 6.

output:
<think>
Initial list: [-6, -10, -17, 43, -65, -22, 6]

Pass 1:
  Compare -6 and -10
  Swap -6 and -10
  List after swap: [-10, -6, -17, 43, -65, -22, 6]
  Compare -6 and -17
  Swap -6 and -17
  List after swap: [-10, -17, -6, 43, -65, -22, 6]
  Compare -6 and 43
  No swap needed
  Compare 43 and -65
  Swap 43 and -65
  List after swap: [-10, -17, -6, -65, 43, -22, 6]
  Compare 43 and -22
  Swap 43 and -22
  List after swap: [-10, -17, -6, -65, -22, 43, 6]
  Compare 43 and 6
  Swap 43 and 6
  List after swap: [-10, -17, -6, -65, -22, 6, 43]

Pass 2:
  Compare -10 and -17
  Swap -10 and -17
  List after swap: [-17, -10, -6, -65, -22, 6, 43]
  Compare -10 and -6
  No swap needed
  Compare -6 and -65
  Swap -6 and -65
  List after swap: [-17, -10, -65, -6, -22, 6, 43]
  Compare -6 and -22
  Swap -6 and -22
  List after swap: [-17, -10, -65, -22, -6, 6, 43]
  Compare -6 and 6
  No swap needed

Pass 3:
  Compare -17 and -10
  No swap needed
  Compare -10 and -65
  Swap -10 and -65
  List after swap: [-17, -65, -10, -22, -6, 6, 43]
  Compare -10 and -22
  Swap -10 and -22
  List after swap: [-17, -65, -22, -10, -6, 6, 43]
  Compare -10 and -6
  No swap needed

Pass 4:
  Compare -17 and -65
  Swap -17 and -65
  List after swap: [-65, -17, -22, -10, -6, 6, 43]
  Compare -17 and -22
  Swap -17 and -22
  List after swap: [-65, -22, -17, -10, -6, 6, 43]
  Compare -17 and -10
  No swap needed

Pass 5:
  Compare -65 and -22
  No swap needed
  Compare -22 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -22, -17, -10, -6, 6, 43]
</think>

<response>-65, -22, -17, -10, -6, 6, 43</response>


input: Sort the list -74, 82, 95, 32, 75, 58, 27, -25 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-74, 82, 95, 32, 75, 58, 27, -25]

Pass 1:
  Compare -74 and 82
  No swap needed
  Compare 82 and 95
  No swap needed
  Compare 95 and 32
  Swap 95 and 32
  List after swap: [-74, 82, 32, 95, 75, 58, 27, -25]
  Compare 95 and 75
  Swap 95 and 75
  List after swap: [-74, 82, 32, 75, 95, 58, 27, -25]
  Compare 95 and 58
  Swap 95 and 58
  List after swap: [-74, 82, 32, 75, 58, 95, 27, -25]
  Compare 95 and 27
  Swap 95 and 27
  List after swap: [-74, 82, 32, 75, 58, 27, 95, -25]
  Compare 95 and -25
  Swap 95 and -25
  List after swap: [-74, 82, 32, 75, 58, 27, -25, 95]

Pass 2:
  Compare -74 and 82
  No swap needed
  Compare 82 and 32
  Swap 82 and 32
  List after swap: [-74, 32, 82, 75, 58, 27, -25, 95]
  Compare 82 and 75
  Swap 82 and 75
  List after swap: [-74, 32, 75, 82, 58, 27, -25, 95]
  Compare 82 and 58
  Swap 82 and 58
  List after swap: [-74, 32, 75, 58, 82, 27, -25, 95]
  Compare 82 and 27
  Swap 82 and 27
  List after swap: [-74, 32, 75, 58, 27, 82, -25, 95]
  Compare 82 and -25
  Swap 82 and -25
  List after swap: [-74, 32, 75, 58, 27, -25, 82, 95]

Pass 3:
  Compare -74 and 32
  No swap needed
  Compare 32 and 75
  No swap needed
  Compare 75 and 58
  Swap 75 and 58
  List after swap: [-74, 32, 58, 75, 27, -25, 82, 95]
  Compare 75 and 27
  Swap 75 and 27
  List after swap: [-74, 32, 58, 27, 75, -25, 82, 95]
  Compare 75 and -25
  Swap 75 and -25
  List after swap: [-74, 32, 58, 27, -25, 75, 82, 95]

Pass 4:
  Compare -74 and 32
  No swap needed
  Compare 32 and 58
  No swap needed
  Compare 58 and 27
  Swap 58 and 27
  List after swap: [-74, 32, 27, 58, -25, 75, 82, 95]
  Compare 58 and -25
  Swap 58 and -25
  List after swap: [-74, 32, 27, -25, 58, 75, 82, 95]

Pass 5:
  Compare -74 and 32
  No swap needed
  Compare 32 and 27
  Swap 32 and 27
  List after swap: [-74, 27, 32, -25, 58, 75, 82, 95]
  Compare 32 and -25
  Swap 32 and -25
  List after swap: [-74, 27, -25, 32, 58, 75, 82, 95]

Pass 6:
  Compare -74 and 27
  No swap needed
  Compare 27 and -25
  Swap 27 and -25
  List after swap: [-74, -25, 27, 32, 58, 75, 82, 95]

Pass 7:
  Compare -74 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -25, 27, 32, 58, 75, 82, 95]
</think>

<response>-74, -25, 27, 32, 58, 75, 82, 95</response>


input: Carry out the bubble sort algorithm on -23, -78, 71, -47, 87, 55, 64, 37 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-23, -78, 71, -47, 87, 55, 64, 37]

Pass 1:
  Compare -23 and -78
  Swap -23 and -78
  List after swap: [-78, -23, 71, -47, 87, 55, 64, 37]
  Compare -23 and 71
  No swap needed
  Compare 71 and -47
  Swap 71 and -47
  List after swap: [-78, -23, -47, 71, 87, 55, 64, 37]
  Compare 71 and 87
  No swap needed
  Compare 87 and 55
  Swap 87 and 55
  List after swap: [-78, -23, -47, 71, 55, 87, 64, 37]
  Compare 87 and 64
  Swap 87 and 64
  List after swap: [-78, -23, -47, 71, 55, 64, 87, 37]
  Compare 87 and 37
  Swap 87 and 37
  List after swap: [-78, -23, -47, 71, 55, 64, 37, 87]

Pass 2:
  Compare -78 and -23
  No swap needed
  Compare -23 and -47
  Swap -23 and -47
  List after swap: [-78, -47, -23, 71, 55, 64, 37, 87]
  Compare -23 and 71
  No swap needed
  Compare 71 and 55
  Swap 71 and 55
  List after swap: [-78, -47, -23, 55, 71, 64, 37, 87]
  Compare 71 and 64
  Swap 71 and 64
  List after swap: [-78, -47, -23, 55, 64, 71, 37, 87]
  Compare 71 and 37
  Swap 71 and 37
  List after swap: [-78, -47, -23, 55, 64, 37, 71, 87]

Pass 3:
  Compare -78 and -47
  No swap needed
  Compare -47 and -23
  No swap needed
  Compare -23 and 55
  No swap needed
  Compare 55 and 64
  No swap needed
  Compare 64 and 37
  Swap 64 and 37
  List after swap: [-78, -47, -23, 55, 37, 64, 71, 87]

Pass 4:
  Compare -78 and -47
  No swap needed
  Compare -47 and -23
  No swap needed
  Compare -23 and 55
  No swap needed
  Compare 55 and 37
  Swap 55 and 37
  List after swap: [-78, -47, -23, 37, 55, 64, 71, 87]

Pass 5:
  Compare -78 and -47
  No swap needed
  Compare -47 and -23
  No swap needed
  Compare -23 and 37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -47, -23, 37, 55, 64, 71, 87]
</think>

<response>-78, -47, -23, 37, 55, 64, 71, 87</response>


input: Carry out the bubble sort algorithm on 60, -33, -68, 65, 81, 71, -12, -16, 74, 13 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [60, -33, -68, 65, 81, 71, -12, -16, 74, 13]

Pass 1:
  Compare 60 and -33
  Swap 60 and -33
  List after swap: [-33, 60, -68, 65, 81, 71, -12, -16, 74, 13]
  Compare 60 and -68
  Swap 60 and -68
  List after swap: [-33, -68, 60, 65, 81, 71, -12, -16, 74, 13]
  Compare 60 and 65
  No swap needed
  Compare 65 and 81
  No swap needed
  Compare 81 and 71
  Swap 81 and 71
  List after swap: [-33, -68, 60, 65, 71, 81, -12, -16, 74, 13]
  Compare 81 and -12
  Swap 81 and -12
  List after swap: [-33, -68, 60, 65, 71, -12, 81, -16, 74, 13]
  Compare 81 and -16
  Swap 81 and -16
  List after swap: [-33, -68, 60, 65, 71, -12, -16, 81, 74, 13]
  Compare 81 and 74
  Swap 81 and 74
  List after swap: [-33, -68, 60, 65, 71, -12, -16, 74, 81, 13]
  Compare 81 and 13
  Swap 81 and 13
  List after swap: [-33, -68, 60, 65, 71, -12, -16, 74, 13, 81]

Pass 2:
  Compare -33 and -68
  Swap -33 and -68
  List after swap: [-68, -33, 60, 65, 71, -12, -16, 74, 13, 81]
  Compare -33 and 60
  No swap needed
  Compare 60 and 65
  No swap needed
  Compare 65 and 71
  No swap needed
  Compare 71 and -12
  Swap 71 and -12
  List after swap: [-68, -33, 60, 65, -12, 71, -16, 74, 13, 81]
  Compare 71 and -16
  Swap 71 and -16
  List after swap: [-68, -33, 60, 65, -12, -16, 71, 74, 13, 81]
  Compare 71 and 74
  No swap needed
  Compare 74 and 13
  Swap 74 and 13
  List after swap: [-68, -33, 60, 65, -12, -16, 71, 13, 74, 81]

Pass 3:
  Compare -68 and -33
  No swap needed
  Compare -33 and 60
  No swap needed
  Compare 60 and 65
  No swap needed
  Compare 65 and -12
  Swap 65 and -12
  List after swap: [-68, -33, 60, -12, 65, -16, 71, 13, 74, 81]
  Compare 65 and -16
  Swap 65 and -16
  List after swap: [-68, -33, 60, -12, -16, 65, 71, 13, 74, 81]
  Compare 65 and 71
  No swap needed
  Compare 71 and 13
  Swap 71 and 13
  List after swap: [-68, -33, 60, -12, -16, 65, 13, 71, 74, 81]

Pass 4:
  Compare -68 and -33
  No swap needed
  Compare -33 and 60
  No swap needed
  Compare 60 and -12
  Swap 60 and -12
  List after swap: [-68, -33, -12, 60, -16, 65, 13, 71, 74, 81]
  Compare 60 and -16
  Swap 60 and -16
  List after swap: [-68, -33, -12, -16, 60, 65, 13, 71, 74, 81]
  Compare 60 and 65
  No swap needed
  Compare 65 and 13
  Swap 65 and 13
  List after swap: [-68, -33, -12, -16, 60, 13, 65, 71, 74, 81]

Pass 5:
  Compare -68 and -33
  No swap needed
  Compare -33 and -12
  No swap needed
  Compare -12 and -16
  Swap -12 and -16
  List after swap: [-68, -33, -16, -12, 60, 13, 65, 71, 74, 81]
  Compare -12 and 60
  No swap needed
  Compare 60 and 13
  Swap 60 and 13
  List after swap: [-68, -33, -16, -12, 13, 60, 65, 71, 74, 81]

Pass 6:
  Compare -68 and -33
  No swap needed
  Compare -33 and -16
  No swap needed
  Compare -16 and -12
  No swap needed
  Compare -12 and 13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -33, -16, -12, 13, 60, 65, 71, 74, 81]
</think>

<response>-68, -33, -16, -12, 13, 60, 65, 71, 74, 81</response>


input: Arrange the numbers 37, 94, 36, -89, 60 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [37, 94, 36, -89, 60]

Pass 1:
  Compare 37 and 94
  No swap needed
  Compare 94 and 36
  Swap 94 and 36
  List after swap: [37, 36, 94, -89, 60]
  Compare 94 and -89
  Swap 94 and -89
  List after swap: [37, 36, -89, 94, 60]
  Compare 94 and 60
  Swap 94 and 60
  List after swap: [37, 36, -89, 60, 94]

Pass 2:
  Compare 37 and 36
  Swap 37 and 36
  List after swap: [36, 37, -89, 60, 94]
  Compare 37 and -89
  Swap 37 and -89
  List after swap: [36, -89, 37, 60, 94]
  Compare 37 and 60
  No swap needed

Pass 3:
  Compare 36 and -89
  Swap 36 and -89
  List after swap: [-89, 36, 37, 60, 94]
  Compare 36 and 37
  No swap needed

Pass 4:
  Compare -89 and 36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, 36, 37, 60, 94]
</think>

<response>-89, 36, 37, 60, 94</response>


input: Perform a bubble sort on the integers 97, 8, 56, 18, 53, 36, -78, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [97, 8, 56, 18, 53, 36, -78]

Pass 1:
  Compare 97 and 8
  Swap 97 and 8
  List after swap: [8, 97, 56, 18, 53, 36, -78]
  Compare 97 and 56
  Swap 97 and 56
  List after swap: [8, 56, 97, 18, 53, 36, -78]
  Compare 97 and 18
  Swap 97 and 18
  List after swap: [8, 56, 18, 97, 53, 36, -78]
  Compare 97 and 53
  Swap 97 and 53
  List after swap: [8, 56, 18, 53, 97, 36, -78]
  Compare 97 and 36
  Swap 97 and 36
  List after swap: [8, 56, 18, 53, 36, 97, -78]
  Compare 97 and -78
  Swap 97 and -78
  List after swap: [8, 56, 18, 53, 36, -78, 97]

Pass 2:
  Compare 8 and 56
  No swap needed
  Compare 56 and 18
  Swap 56 and 18
  List after swap: [8, 18, 56, 53, 36, -78, 97]
  Compare 56 and 53
  Swap 56 and 53
  List after swap: [8, 18, 53, 56, 36, -78, 97]
  Compare 56 and 36
  Swap 56 and 36
  List after swap: [8, 18, 53, 36, 56, -78, 97]
  Compare 56 and -78
  Swap 56 and -78
  List after swap: [8, 18, 53, 36, -78, 56, 97]

Pass 3:
  Compare 8 and 18
  No swap needed
  Compare 18 and 53
  No swap needed
  Compare 53 and 36
  Swap 53 and 36
  List after swap: [8, 18, 36, 53, -78, 56, 97]
  Compare 53 and -78
  Swap 53 and -78
  List after swap: [8, 18, 36, -78, 53, 56, 97]

Pass 4:
  Compare 8 and 18
  No swap needed
  Compare 18 and 36
  No swap needed
  Compare 36 and -78
  Swap 36 and -78
  List after swap: [8, 18, -78, 36, 53, 56, 97]

Pass 5:
  Compare 8 and 18
  No swap needed
  Compare 18 and -78
  Swap 18 and -78
  List after swap: [8, -78, 18, 36, 53, 56, 97]

Pass 6:
  Compare 8 and -78
  Swap 8 and -78
  List after swap: [-78, 8, 18, 36, 53, 56, 97]

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

Final sorted list: [-78, 8, 18, 36, 53, 56, 97]
</think>

<response>-78, 8, 18, 36, 53, 56, 97</response>


input: Using the bubble sort method, sort -5, -28, -16 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-5, -28, -16]

Pass 1:
  Compare -5 and -28
  Swap -5 and -28
  List after swap: [-28, -5, -16]
  Compare -5 and -16
  Swap -5 and -16
  List after swap: [-28, -16, -5]

Pass 2:
  Compare -28 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-28, -16, -5]
</think>

<response>-28, -16, -5</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -52, 53, -73, 69, 83, 68, 24.

output:
<think>
Initial list: [-52, 53, -73, 69, 83, 68, 24]

Pass 1:
  Compare -52 and 53
  No swap needed
  Compare 53 and -73
  Swap 53 and -73
  List after swap: [-52, -73, 53, 69, 83, 68, 24]
  Compare 53 and 69
  No swap needed
  Compare 69 and 83
  No swap needed
  Compare 83 and 68
  Swap 83 and 68
  List after swap: [-52, -73, 53, 69, 68, 83, 24]
  Compare 83 and 24
  Swap 83 and 24
  List after swap: [-52, -73, 53, 69, 68, 24, 83]

Pass 2:
  Compare -52 and -73
  Swap -52 and -73
  List after swap: [-73, -52, 53, 69, 68, 24, 83]
  Compare -52 and 53
  No swap needed
  Compare 53 and 69
  No swap needed
  Compare 69 and 68
  Swap 69 and 68
  List after swap: [-73, -52, 53, 68, 69, 24, 83]
  Compare 69 and 24
  Swap 69 and 24
  List after swap: [-73, -52, 53, 68, 24, 69, 83]

Pass 3:
  Compare -73 and -52
  No swap needed
  Compare -52 and 53
  No swap needed
  Compare 53 and 68
  No swap needed
  Compare 68 and 24
  Swap 68 and 24
  List after swap: [-73, -52, 53, 24, 68, 69, 83]

Pass 4:
  Compare -73 and -52
  No swap needed
  Compare -52 and 53
  No swap needed
  Compare 53 and 24
  Swap 53 and 24
  List after swap: [-73, -52, 24, 53, 68, 69, 83]

Pass 5:
  Compare -73 and -52
  No swap needed
  Compare -52 and 24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -52, 24, 53, 68, 69, 83]
</think>

<response>-73, -52, 24, 53, 68, 69, 83</response>


input: Implement bubble sort on 75, 84, -44, 68, 82 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [75, 84, -44, 68, 82]

Pass 1:
  Compare 75 and 84
  No swap needed
  Compare 84 and -44
  Swap 84 and -44
  List after swap: [75, -44, 84, 68, 82]
  Compare 84 and 68
  Swap 84 and 68
  List after swap: [75, -44, 68, 84, 82]
  Compare 84 and 82
  Swap 84 and 82
  List after swap: [75, -44, 68, 82, 84]

Pass 2:
  Compare 75 and -44
  Swap 75 and -44
  List after swap: [-44, 75, 68, 82, 84]
  Compare 75 and 68
  Swap 75 and 68
  List after swap: [-44, 68, 75, 82, 84]
  Compare 75 and 82
  No swap needed

Pass 3:
  Compare -44 and 68
  No swap needed
  Compare 68 and 75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-44, 68, 75, 82, 84]
</think>

<response>-44, 68, 75, 82, 84</response>


input: Sort these integers 44, 58 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [44, 58]

Pass 1:
  Compare 44 and 58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [44, 58]
</think>

<response>44, 58</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -59, 94.

output:
<think>
Initial list: [-59, 94]

Pass 1:
  Compare -59 and 94
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, 94]
</think>

<response>-59, 94</response>


input: Sort these integers 80, -55 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [80, -55]

Pass 1:
  Compare 80 and -55
  Swap 80 and -55
  List after swap: [-55, 80]

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

Final sorted list: [-55, 80]
</think>

<response>-55, 80</response>


input: Perform a bubble sort on the integers -48, 95, -56, -21, -17, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-48, 95, -56, -21, -17]

Pass 1:
  Compare -48 and 95
  No swap needed
  Compare 95 and -56
  Swap 95 and -56
  List after swap: [-48, -56, 95, -21, -17]
  Compare 95 and -21
  Swap 95 and -21
  List after swap: [-48, -56, -21, 95, -17]
  Compare 95 and -17
  Swap 95 and -17
  List after swap: [-48, -56, -21, -17, 95]

Pass 2:
  Compare -48 and -56
  Swap -48 and -56
  List after swap: [-56, -48, -21, -17, 95]
  Compare -48 and -21
  No swap needed
  Compare -21 and -17
  No swap needed

Pass 3:
  Compare -56 and -48
  No swap needed
  Compare -48 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -48, -21, -17, 95]
</think>

<response>-56, -48, -21, -17, 95</response>


input: Using the bubble sort method, sort 98, 91, 77, 59, 72 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [98, 91, 77, 59, 72]

Pass 1:
  Compare 98 and 91
  Swap 98 and 91
  List after swap: [91, 98, 77, 59, 72]
  Compare 98 and 77
  Swap 98 and 77
  List after swap: [91, 77, 98, 59, 72]
  Compare 98 and 59
  Swap 98 and 59
  List after swap: [91, 77, 59, 98, 72]
  Compare 98 and 72
  Swap 98 and 72
  List after swap: [91, 77, 59, 72, 98]

Pass 2:
  Compare 91 and 77
  Swap 91 and 77
  List after swap: [77, 91, 59, 72, 98]
  Compare 91 and 59
  Swap 91 and 59
  List after swap: [77, 59, 91, 72, 98]
  Compare 91 and 72
  Swap 91 and 72
  List after swap: [77, 59, 72, 91, 98]

Pass 3:
  Compare 77 and 59
  Swap 77 and 59
  List after swap: [59, 77, 72, 91, 98]
  Compare 77 and 72
  Swap 77 and 72
  List after swap: [59, 72, 77, 91, 98]

Pass 4:
  Compare 59 and 72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [59, 72, 77, 91, 98]
</think>

<response>59, 72, 77, 91, 98</response>


input: Sort the list 0, 42, 46, 3 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [0, 42, 46, 3]

Pass 1:
  Compare 0 and 42
  No swap needed
  Compare 42 and 46
  No swap needed
  Compare 46 and 3
  Swap 46 and 3
  List after swap: [0, 42, 3, 46]

Pass 2:
  Compare 0 and 42
  No swap needed
  Compare 42 and 3
  Swap 42 and 3
  List after swap: [0, 3, 42, 46]

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

Final sorted list: [0, 3, 42, 46]
</think>

<response>0, 3, 42, 46</response>


input: Sort the list 65, 49, 13, 16, -76, -70, -22, -74, -2, -80 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [65, 49, 13, 16, -76, -70, -22, -74, -2, -80]

Pass 1:
  Compare 65 and 49
  Swap 65 and 49
  List after swap: [49, 65, 13, 16, -76, -70, -22, -74, -2, -80]
  Compare 65 and 13
  Swap 65 and 13
  List after swap: [49, 13, 65, 16, -76, -70, -22, -74, -2, -80]
  Compare 65 and 16
  Swap 65 and 16
  List after swap: [49, 13, 16, 65, -76, -70, -22, -74, -2, -80]
  Compare 65 and -76
  Swap 65 and -76
  List after swap: [49, 13, 16, -76, 65, -70, -22, -74, -2, -80]
  Compare 65 and -70
  Swap 65 and -70
  List after swap: [49, 13, 16, -76, -70, 65, -22, -74, -2, -80]
  Compare 65 and -22
  Swap 65 and -22
  List after swap: [49, 13, 16, -76, -70, -22, 65, -74, -2, -80]
  Compare 65 and -74
  Swap 65 and -74
  List after swap: [49, 13, 16, -76, -70, -22, -74, 65, -2, -80]
  Compare 65 and -2
  Swap 65 and -2
  List after swap: [49, 13, 16, -76, -70, -22, -74, -2, 65, -80]
  Compare 65 and -80
  Swap 65 and -80
  List after swap: [49, 13, 16, -76, -70, -22, -74, -2, -80, 65]

Pass 2:
  Compare 49 and 13
  Swap 49 and 13
  List after swap: [13, 49, 16, -76, -70, -22, -74, -2, -80, 65]
  Compare 49 and 16
  Swap 49 and 16
  List after swap: [13, 16, 49, -76, -70, -22, -74, -2, -80, 65]
  Compare 49 and -76
  Swap 49 and -76
  List after swap: [13, 16, -76, 49, -70, -22, -74, -2, -80, 65]
  Compare 49 and -70
  Swap 49 and -70
  List after swap: [13, 16, -76, -70, 49, -22, -74, -2, -80, 65]
  Compare 49 and -22
  Swap 49 and -22
  List after swap: [13, 16, -76, -70, -22, 49, -74, -2, -80, 65]
  Compare 49 and -74
  Swap 49 and -74
  List after swap: [13, 16, -76, -70, -22, -74, 49, -2, -80, 65]
  Compare 49 and -2
  Swap 49 and -2
  List after swap: [13, 16, -76, -70, -22, -74, -2, 49, -80, 65]
  Compare 49 and -80
  Swap 49 and -80
  List after swap: [13, 16, -76, -70, -22, -74, -2, -80, 49, 65]

Pass 3:
  Compare 13 and 16
  No swap needed
  Compare 16 and -76
  Swap 16 and -76
  List after swap: [13, -76, 16, -70, -22, -74, -2, -80, 49, 65]
  Compare 16 and -70
  Swap 16 and -70
  List after swap: [13, -76, -70, 16, -22, -74, -2, -80, 49, 65]
  Compare 16 and -22
  Swap 16 and -22
  List after swap: [13, -76, -70, -22, 16, -74, -2, -80, 49, 65]
  Compare 16 and -74
  Swap 16 and -74
  List after swap: [13, -76, -70, -22, -74, 16, -2, -80, 49, 65]
  Compare 16 and -2
  Swap 16 and -2
  List after swap: [13, -76, -70, -22, -74, -2, 16, -80, 49, 65]
  Compare 16 and -80
  Swap 16 and -80
  List after swap: [13, -76, -70, -22, -74, -2, -80, 16, 49, 65]

Pass 4:
  Compare 13 and -76
  Swap 13 and -76
  List after swap: [-76, 13, -70, -22, -74, -2, -80, 16, 49, 65]
  Compare 13 and -70
  Swap 13 and -70
  List after swap: [-76, -70, 13, -22, -74, -2, -80, 16, 49, 65]
  Compare 13 and -22
  Swap 13 and -22
  List after swap: [-76, -70, -22, 13, -74, -2, -80, 16, 49, 65]
  Compare 13 and -74
  Swap 13 and -74
  List after swap: [-76, -70, -22, -74, 13, -2, -80, 16, 49, 65]
  Compare 13 and -2
  Swap 13 and -2
  List after swap: [-76, -70, -22, -74, -2, 13, -80, 16, 49, 65]
  Compare 13 and -80
  Swap 13 and -80
  List after swap: [-76, -70, -22, -74, -2, -80, 13, 16, 49, 65]

Pass 5:
  Compare -76 and -70
  No swap needed
  Compare -70 and -22
  No swap needed
  Compare -22 and -74
  Swap -22 and -74
  List after swap: [-76, -70, -74, -22, -2, -80, 13, 16, 49, 65]
  Compare -22 and -2
  No swap needed
  Compare -2 and -80
  Swap -2 and -80
  List after swap: [-76, -70, -74, -22, -80, -2, 13, 16, 49, 65]

Pass 6:
  Compare -76 and -70
  No swap needed
  Compare -70 and -74
  Swap -70 and -74
  List after swap: [-76, -74, -70, -22, -80, -2, 13, 16, 49, 65]
  Compare -70 and -22
  No swap needed
  Compare -22 and -80
  Swap -22 and -80
  List after swap: [-76, -74, -70, -80, -22, -2, 13, 16, 49, 65]

Pass 7:
  Compare -76 and -74
  No swap needed
  Compare -74 and -70
  No swap needed
  Compare -70 and -80
  Swap -70 and -80
  List after swap: [-76, -74, -80, -70, -22, -2, 13, 16, 49, 65]

Pass 8:
  Compare -76 and -74
  No swap needed
  Compare -74 and -80
  Swap -74 and -80
  List after swap: [-76, -80, -74, -70, -22, -2, 13, 16, 49, 65]

Pass 9:
  Compare -76 and -80
  Swap -76 and -80
  List after swap: [-80, -76, -74, -70, -22, -2, 13, 16, 49, 65]

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

Final sorted list: [-80, -76, -74, -70, -22, -2, 13, 16, 49, 65]
</think>

<response>-80, -76, -74, -70, -22, -2, 13, 16, 49, 65</response>


input: Perform a bubble sort on the integers -62, 92, 29, 54, -75, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-62, 92, 29, 54, -75]

Pass 1:
  Compare -62 and 92
  No swap needed
  Compare 92 and 29
  Swap 92 and 29
  List after swap: [-62, 29, 92, 54, -75]
  Compare 92 and 54
  Swap 92 and 54
  List after swap: [-62, 29, 54, 92, -75]
  Compare 92 and -75
  Swap 92 and -75
  List after swap: [-62, 29, 54, -75, 92]

Pass 2:
  Compare -62 and 29
  No swap needed
  Compare 29 and 54
  No swap needed
  Compare 54 and -75
  Swap 54 and -75
  List after swap: [-62, 29, -75, 54, 92]

Pass 3:
  Compare -62 and 29
  No swap needed
  Compare 29 and -75
  Swap 29 and -75
  List after swap: [-62, -75, 29, 54, 92]

Pass 4:
  Compare -62 and -75
  Swap -62 and -75
  List after swap: [-75, -62, 29, 54, 92]

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

Final sorted list: [-75, -62, 29, 54, 92]
</think>

<response>-75, -62, 29, 54, 92</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -18, -94, 84, -12, 78, 54.

output:
<think>
Initial list: [-18, -94, 84, -12, 78, 54]

Pass 1:
  Compare -18 and -94
  Swap -18 and -94
  List after swap: [-94, -18, 84, -12, 78, 54]
  Compare -18 and 84
  No swap needed
  Compare 84 and -12
  Swap 84 and -12
  List after swap: [-94, -18, -12, 84, 78, 54]
  Compare 84 and 78
  Swap 84 and 78
  List after swap: [-94, -18, -12, 78, 84, 54]
  Compare 84 and 54
  Swap 84 and 54
  List after swap: [-94, -18, -12, 78, 54, 84]

Pass 2:
  Compare -94 and -18
  No swap needed
  Compare -18 and -12
  No swap needed
  Compare -12 and 78
  No swap needed
  Compare 78 and 54
  Swap 78 and 54
  List after swap: [-94, -18, -12, 54, 78, 84]

Pass 3:
  Compare -94 and -18
  No swap needed
  Compare -18 and -12
  No swap needed
  Compare -12 and 54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -18, -12, 54, 78, 84]
</think>

<response>-94, -18, -12, 54, 78, 84</response>


input: Sort the list -19, -92, 21, 59, 97, 22, 67 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-19, -92, 21, 59, 97, 22, 67]

Pass 1:
  Compare -19 and -92
  Swap -19 and -92
  List after swap: [-92, -19, 21, 59, 97, 22, 67]
  Compare -19 and 21
  No swap needed
  Compare 21 and 59
  No swap needed
  Compare 59 and 97
  No swap needed
  Compare 97 and 22
  Swap 97 and 22
  List after swap: [-92, -19, 21, 59, 22, 97, 67]
  Compare 97 and 67
  Swap 97 and 67
  List after swap: [-92, -19, 21, 59, 22, 67, 97]

Pass 2:
  Compare -92 and -19
  No swap needed
  Compare -19 and 21
  No swap needed
  Compare 21 and 59
  No swap needed
  Compare 59 and 22
  Swap 59 and 22
  List after swap: [-92, -19, 21, 22, 59, 67, 97]
  Compare 59 and 67
  No swap needed

Pass 3:
  Compare -92 and -19
  No swap needed
  Compare -19 and 21
  No swap needed
  Compare 21 and 22
  No swap needed
  Compare 22 and 59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -19, 21, 22, 59, 67, 97]
</think>

<response>-92, -19, 21, 22, 59, 67, 97</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 41, 32, 95, -38, 46.

output:
<think>
Initial list: [41, 32, 95, -38, 46]

Pass 1:
  Compare 41 and 32
  Swap 41 and 32
  List after swap: [32, 41, 95, -38, 46]
  Compare 41 and 95
  No swap needed
  Compare 95 and -38
  Swap 95 and -38
  List after swap: [32, 41, -38, 95, 46]
  Compare 95 and 46
  Swap 95 and 46
  List after swap: [32, 41, -38, 46, 95]

Pass 2:
  Compare 32 and 41
  No swap needed
  Compare 41 and -38
  Swap 41 and -38
  List after swap: [32, -38, 41, 46, 95]
  Compare 41 and 46
  No swap needed

Pass 3:
  Compare 32 and -38
  Swap 32 and -38
  List after swap: [-38, 32, 41, 46, 95]
  Compare 32 and 41
  No swap needed

Pass 4:
  Compare -38 and 32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-38, 32, 41, 46, 95]
</think>

<response>-38, 32, 41, 46, 95</response>


input: Implement bubble sort on -5, -46, -94, 61, 1, 23 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-5, -46, -94, 61, 1, 23]

Pass 1:
  Compare -5 and -46
  Swap -5 and -46
  List after swap: [-46, -5, -94, 61, 1, 23]
  Compare -5 and -94
  Swap -5 and -94
  List after swap: [-46, -94, -5, 61, 1, 23]
  Compare -5 and 61
  No swap needed
  Compare 61 and 1
  Swap 61 and 1
  List after swap: [-46, -94, -5, 1, 61, 23]
  Compare 61 and 23
  Swap 61 and 23
  List after swap: [-46, -94, -5, 1, 23, 61]

Pass 2:
  Compare -46 and -94
  Swap -46 and -94
  List after swap: [-94, -46, -5, 1, 23, 61]
  Compare -46 and -5
  No swap needed
  Compare -5 and 1
  No swap needed
  Compare 1 and 23
  No swap needed

Pass 3:
  Compare -94 and -46
  No swap needed
  Compare -46 and -5
  No swap needed
  Compare -5 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -46, -5, 1, 23, 61]
</think>

<response>-94, -46, -5, 1, 23, 61</response>


input: Arrange the numbers 8, -84, -7, -63, -19, -72, 31, -61 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [8, -84, -7, -63, -19, -72, 31, -61]

Pass 1:
  Compare 8 and -84
  Swap 8 and -84
  List after swap: [-84, 8, -7, -63, -19, -72, 31, -61]
  Compare 8 and -7
  Swap 8 and -7
  List after swap: [-84, -7, 8, -63, -19, -72, 31, -61]
  Compare 8 and -63
  Swap 8 and -63
  List after swap: [-84, -7, -63, 8, -19, -72, 31, -61]
  Compare 8 and -19
  Swap 8 and -19
  List after swap: [-84, -7, -63, -19, 8, -72, 31, -61]
  Compare 8 and -72
  Swap 8 and -72
  List after swap: [-84, -7, -63, -19, -72, 8, 31, -61]
  Compare 8 and 31
  No swap needed
  Compare 31 and -61
  Swap 31 and -61
  List after swap: [-84, -7, -63, -19, -72, 8, -61, 31]

Pass 2:
  Compare -84 and -7
  No swap needed
  Compare -7 and -63
  Swap -7 and -63
  List after swap: [-84, -63, -7, -19, -72, 8, -61, 31]
  Compare -7 and -19
  Swap -7 and -19
  List after swap: [-84, -63, -19, -7, -72, 8, -61, 31]
  Compare -7 and -72
  Swap -7 and -72
  List after swap: [-84, -63, -19, -72, -7, 8, -61, 31]
  Compare -7 and 8
  No swap needed
  Compare 8 and -61
  Swap 8 and -61
  List after swap: [-84, -63, -19, -72, -7, -61, 8, 31]

Pass 3:
  Compare -84 and -63
  No swap needed
  Compare -63 and -19
  No swap needed
  Compare -19 and -72
  Swap -19 and -72
  List after swap: [-84, -63, -72, -19, -7, -61, 8, 31]
  Compare -19 and -7
  No swap needed
  Compare -7 and -61
  Swap -7 and -61
  List after swap: [-84, -63, -72, -19, -61, -7, 8, 31]

Pass 4:
  Compare -84 and -63
  No swap needed
  Compare -63 and -72
  Swap -63 and -72
  List after swap: [-84, -72, -63, -19, -61, -7, 8, 31]
  Compare -63 and -19
  No swap needed
  Compare -19 and -61
  Swap -19 and -61
  List after swap: [-84, -72, -63, -61, -19, -7, 8, 31]

Pass 5:
  Compare -84 and -72
  No swap needed
  Compare -72 and -63
  No swap needed
  Compare -63 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -72, -63, -61, -19, -7, 8, 31]
</think>

<response>-84, -72, -63, -61, -19, -7, 8, 31</response>


input: Sort these integers 8, -62, 40, 83, -61, 61, -14, 71, 88, 69 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [8, -62, 40, 83, -61, 61, -14, 71, 88, 69]

Pass 1:
  Compare 8 and -62
  Swap 8 and -62
  List after swap: [-62, 8, 40, 83, -61, 61, -14, 71, 88, 69]
  Compare 8 and 40
  No swap needed
  Compare 40 and 83
  No swap needed
  Compare 83 and -61
  Swap 83 and -61
  List after swap: [-62, 8, 40, -61, 83, 61, -14, 71, 88, 69]
  Compare 83 and 61
  Swap 83 and 61
  List after swap: [-62, 8, 40, -61, 61, 83, -14, 71, 88, 69]
  Compare 83 and -14
  Swap 83 and -14
  List after swap: [-62, 8, 40, -61, 61, -14, 83, 71, 88, 69]
  Compare 83 and 71
  Swap 83 and 71
  List after swap: [-62, 8, 40, -61, 61, -14, 71, 83, 88, 69]
  Compare 83 and 88
  No swap needed
  Compare 88 and 69
  Swap 88 and 69
  List after swap: [-62, 8, 40, -61, 61, -14, 71, 83, 69, 88]

Pass 2:
  Compare -62 and 8
  No swap needed
  Compare 8 and 40
  No swap needed
  Compare 40 and -61
  Swap 40 and -61
  List after swap: [-62, 8, -61, 40, 61, -14, 71, 83, 69, 88]
  Compare 40 and 61
  No swap needed
  Compare 61 and -14
  Swap 61 and -14
  List after swap: [-62, 8, -61, 40, -14, 61, 71, 83, 69, 88]
  Compare 61 and 71
  No swap needed
  Compare 71 and 83
  No swap needed
  Compare 83 and 69
  Swap 83 and 69
  List after swap: [-62, 8, -61, 40, -14, 61, 71, 69, 83, 88]

Pass 3:
  Compare -62 and 8
  No swap needed
  Compare 8 and -61
  Swap 8 and -61
  List after swap: [-62, -61, 8, 40, -14, 61, 71, 69, 83, 88]
  Compare 8 and 40
  No swap needed
  Compare 40 and -14
  Swap 40 and -14
  List after swap: [-62, -61, 8, -14, 40, 61, 71, 69, 83, 88]
  Compare 40 and 61
  No swap needed
  Compare 61 and 71
  No swap needed
  Compare 71 and 69
  Swap 71 and 69
  List after swap: [-62, -61, 8, -14, 40, 61, 69, 71, 83, 88]

Pass 4:
  Compare -62 and -61
  No swap needed
  Compare -61 and 8
  No swap needed
  Compare 8 and -14
  Swap 8 and -14
  List after swap: [-62, -61, -14, 8, 40, 61, 69, 71, 83, 88]
  Compare 8 and 40
  No swap needed
  Compare 40 and 61
  No swap needed
  Compare 61 and 69
  No swap needed

Pass 5:
  Compare -62 and -61
  No swap needed
  Compare -61 and -14
  No swap needed
  Compare -14 and 8
  No swap needed
  Compare 8 and 40
  No swap needed
  Compare 40 and 61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -61, -14, 8, 40, 61, 69, 71, 83, 88]
</think>

<response>-62, -61, -14, 8, 40, 61, 69, 71, 83, 88</response>


input: Arrange the numbers -95, -26, -47, 75, 89 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-95, -26, -47, 75, 89]

Pass 1:
  Compare -95 and -26
  No swap needed
  Compare -26 and -47
  Swap -26 and -47
  List after swap: [-95, -47, -26, 75, 89]
  Compare -26 and 75
  No swap needed
  Compare 75 and 89
  No swap needed

Pass 2:
  Compare -95 and -47
  No swap needed
  Compare -47 and -26
  No swap needed
  Compare -26 and 75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -47, -26, 75, 89]
</think>

<response>-95, -47, -26, 75, 89</response>


input: Use the bubble sort technique to reorder 31, 86 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [31, 86]

Pass 1:
  Compare 31 and 86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [31, 86]
</think>

<response>31, 86</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 50, -68, 93, -22, 36, 62, -31, 15.

output:
<think>
Initial list: [50, -68, 93, -22, 36, 62, -31, 15]

Pass 1:
  Compare 50 and -68
  Swap 50 and -68
  List after swap: [-68, 50, 93, -22, 36, 62, -31, 15]
  Compare 50 and 93
  No swap needed
  Compare 93 and -22
  Swap 93 and -22
  List after swap: [-68, 50, -22, 93, 36, 62, -31, 15]
  Compare 93 and 36
  Swap 93 and 36
  List after swap: [-68, 50, -22, 36, 93, 62, -31, 15]
  Compare 93 and 62
  Swap 93 and 62
  List after swap: [-68, 50, -22, 36, 62, 93, -31, 15]
  Compare 93 and -31
  Swap 93 and -31
  List after swap: [-68, 50, -22, 36, 62, -31, 93, 15]
  Compare 93 and 15
  Swap 93 and 15
  List after swap: [-68, 50, -22, 36, 62, -31, 15, 93]

Pass 2:
  Compare -68 and 50
  No swap needed
  Compare 50 and -22
  Swap 50 and -22
  List after swap: [-68, -22, 50, 36, 62, -31, 15, 93]
  Compare 50 and 36
  Swap 50 and 36
  List after swap: [-68, -22, 36, 50, 62, -31, 15, 93]
  Compare 50 and 62
  No swap needed
  Compare 62 and -31
  Swap 62 and -31
  List after swap: [-68, -22, 36, 50, -31, 62, 15, 93]
  Compare 62 and 15
  Swap 62 and 15
  List after swap: [-68, -22, 36, 50, -31, 15, 62, 93]

Pass 3:
  Compare -68 and -22
  No swap needed
  Compare -22 and 36
  No swap needed
  Compare 36 and 50
  No swap needed
  Compare 50 and -31
  Swap 50 and -31
  List after swap: [-68, -22, 36, -31, 50, 15, 62, 93]
  Compare 50 and 15
  Swap 50 and 15
  List after swap: [-68, -22, 36, -31, 15, 50, 62, 93]

Pass 4:
  Compare -68 and -22
  No swap needed
  Compare -22 and 36
  No swap needed
  Compare 36 and -31
  Swap 36 and -31
  List after swap: [-68, -22, -31, 36, 15, 50, 62, 93]
  Compare 36 and 15
  Swap 36 and 15
  List after swap: [-68, -22, -31, 15, 36, 50, 62, 93]

Pass 5:
  Compare -68 and -22
  No swap needed
  Compare -22 and -31
  Swap -22 and -31
  List after swap: [-68, -31, -22, 15, 36, 50, 62, 93]
  Compare -22 and 15
  No swap needed

Pass 6:
  Compare -68 and -31
  No swap needed
  Compare -31 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -31, -22, 15, 36, 50, 62, 93]
</think>

<response>-68, -31, -22, 15, 36, 50, 62, 93</response>


input: Carry out the bubble sort algorithm on 98, -19, -79 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [98, -19, -79]

Pass 1:
  Compare 98 and -19
  Swap 98 and -19
  List after swap: [-19, 98, -79]
  Compare 98 and -79
  Swap 98 and -79
  List after swap: [-19, -79, 98]

Pass 2:
  Compare -19 and -79
  Swap -19 and -79
  List after swap: [-79, -19, 98]

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

Final sorted list: [-79, -19, 98]
</think>

<response>-79, -19, 98</response>


input: Implement bubble sort on -35, 77, -24, -6, 29, -54 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-35, 77, -24, -6, 29, -54]

Pass 1:
  Compare -35 and 77
  No swap needed
  Compare 77 and -24
  Swap 77 and -24
  List after swap: [-35, -24, 77, -6, 29, -54]
  Compare 77 and -6
  Swap 77 and -6
  List after swap: [-35, -24, -6, 77, 29, -54]
  Compare 77 and 29
  Swap 77 and 29
  List after swap: [-35, -24, -6, 29, 77, -54]
  Compare 77 and -54
  Swap 77 and -54
  List after swap: [-35, -24, -6, 29, -54, 77]

Pass 2:
  Compare -35 and -24
  No swap needed
  Compare -24 and -6
  No swap needed
  Compare -6 and 29
  No swap needed
  Compare 29 and -54
  Swap 29 and -54
  List after swap: [-35, -24, -6, -54, 29, 77]

Pass 3:
  Compare -35 and -24
  No swap needed
  Compare -24 and -6
  No swap needed
  Compare -6 and -54
  Swap -6 and -54
  List after swap: [-35, -24, -54, -6, 29, 77]

Pass 4:
  Compare -35 and -24
  No swap needed
  Compare -24 and -54
  Swap -24 and -54
  List after swap: [-35, -54, -24, -6, 29, 77]

Pass 5:
  Compare -35 and -54
  Swap -35 and -54
  List after swap: [-54, -35, -24, -6, 29, 77]

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

Final sorted list: [-54, -35, -24, -6, 29, 77]
</think>

<response>-54, -35, -24, -6, 29, 77</response>


input: Sort these integers 74, -47, -18, -12, -79, 6, 49, -87 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [74, -47, -18, -12, -79, 6, 49, -87]

Pass 1:
  Compare 74 and -47
  Swap 74 and -47
  List after swap: [-47, 74, -18, -12, -79, 6, 49, -87]
  Compare 74 and -18
  Swap 74 and -18
  List after swap: [-47, -18, 74, -12, -79, 6, 49, -87]
  Compare 74 and -12
  Swap 74 and -12
  List after swap: [-47, -18, -12, 74, -79, 6, 49, -87]
  Compare 74 and -79
  Swap 74 and -79
  List after swap: [-47, -18, -12, -79, 74, 6, 49, -87]
  Compare 74 and 6
  Swap 74 and 6
  List after swap: [-47, -18, -12, -79, 6, 74, 49, -87]
  Compare 74 and 49
  Swap 74 and 49
  List after swap: [-47, -18, -12, -79, 6, 49, 74, -87]
  Compare 74 and -87
  Swap 74 and -87
  List after swap: [-47, -18, -12, -79, 6, 49, -87, 74]

Pass 2:
  Compare -47 and -18
  No swap needed
  Compare -18 and -12
  No swap needed
  Compare -12 and -79
  Swap -12 and -79
  List after swap: [-47, -18, -79, -12, 6, 49, -87, 74]
  Compare -12 and 6
  No swap needed
  Compare 6 and 49
  No swap needed
  Compare 49 and -87
  Swap 49 and -87
  List after swap: [-47, -18, -79, -12, 6, -87, 49, 74]

Pass 3:
  Compare -47 and -18
  No swap needed
  Compare -18 and -79
  Swap -18 and -79
  List after swap: [-47, -79, -18, -12, 6, -87, 49, 74]
  Compare -18 and -12
  No swap needed
  Compare -12 and 6
  No swap needed
  Compare 6 and -87
  Swap 6 and -87
  List after swap: [-47, -79, -18, -12, -87, 6, 49, 74]

Pass 4:
  Compare -47 and -79
  Swap -47 and -79
  List after swap: [-79, -47, -18, -12, -87, 6, 49, 74]
  Compare -47 and -18
  No swap needed
  Compare -18 and -12
  No swap needed
  Compare -12 and -87
  Swap -12 and -87
  List after swap: [-79, -47, -18, -87, -12, 6, 49, 74]

Pass 5:
  Compare -79 and -47
  No swap needed
  Compare -47 and -18
  No swap needed
  Compare -18 and -87
  Swap -18 and -87
  List after swap: [-79, -47, -87, -18, -12, 6, 49, 74]

Pass 6:
  Compare -79 and -47
  No swap needed
  Compare -47 and -87
  Swap -47 and -87
  List after swap: [-79, -87, -47, -18, -12, 6, 49, 74]

Pass 7:
  Compare -79 and -87
  Swap -79 and -87
  List after swap: [-87, -79, -47, -18, -12, 6, 49, 74]

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

Final sorted list: [-87, -79, -47, -18, -12, 6, 49, 74]
</think>

<response>-87, -79, -47, -18, -12, 6, 49, 74</response>


input: Sort the list 9, -81, 49, 26, -11 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [9, -81, 49, 26, -11]

Pass 1:
  Compare 9 and -81
  Swap 9 and -81
  List after swap: [-81, 9, 49, 26, -11]
  Compare 9 and 49
  No swap needed
  Compare 49 and 26
  Swap 49 and 26
  List after swap: [-81, 9, 26, 49, -11]
  Compare 49 and -11
  Swap 49 and -11
  List after swap: [-81, 9, 26, -11, 49]

Pass 2:
  Compare -81 and 9
  No swap needed
  Compare 9 and 26
  No swap needed
  Compare 26 and -11
  Swap 26 and -11
  List after swap: [-81, 9, -11, 26, 49]

Pass 3:
  Compare -81 and 9
  No swap needed
  Compare 9 and -11
  Swap 9 and -11
  List after swap: [-81, -11, 9, 26, 49]

Pass 4:
  Compare -81 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -11, 9, 26, 49]
</think>

<response>-81, -11, 9, 26, 49</response>


input: Sort these integers -92, -42, -36 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-92, -42, -36]

Pass 1:
  Compare -92 and -42
  No swap needed
  Compare -42 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -42, -36]
</think>

<response>-92, -42, -36</response>


input: Using the bubble sort method, sort 57, 36, -42, 78 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [57, 36, -42, 78]

Pass 1:
  Compare 57 and 36
  Swap 57 and 36
  List after swap: [36, 57, -42, 78]
  Compare 57 and -42
  Swap 57 and -42
  List after swap: [36, -42, 57, 78]
  Compare 57 and 78
  No swap needed

Pass 2:
  Compare 36 and -42
  Swap 36 and -42
  List after swap: [-42, 36, 57, 78]
  Compare 36 and 57
  No swap needed

Pass 3:
  Compare -42 and 36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-42, 36, 57, 78]
</think>

<response>-42, 36, 57, 78</response>


input: Carry out the bubble sort algorithm on -54, -53, 53, -59, 39, 13, 8, 14, -40, 46 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-54, -53, 53, -59, 39, 13, 8, 14, -40, 46]

Pass 1:
  Compare -54 and -53
  No swap needed
  Compare -53 and 53
  No swap needed
  Compare 53 and -59
  Swap 53 and -59
  List after swap: [-54, -53, -59, 53, 39, 13, 8, 14, -40, 46]
  Compare 53 and 39
  Swap 53 and 39
  List after swap: [-54, -53, -59, 39, 53, 13, 8, 14, -40, 46]
  Compare 53 and 13
  Swap 53 and 13
  List after swap: [-54, -53, -59, 39, 13, 53, 8, 14, -40, 46]
  Compare 53 and 8
  Swap 53 and 8
  List after swap: [-54, -53, -59, 39, 13, 8, 53, 14, -40, 46]
  Compare 53 and 14
  Swap 53 and 14
  List after swap: [-54, -53, -59, 39, 13, 8, 14, 53, -40, 46]
  Compare 53 and -40
  Swap 53 and -40
  List after swap: [-54, -53, -59, 39, 13, 8, 14, -40, 53, 46]
  Compare 53 and 46
  Swap 53 and 46
  List after swap: [-54, -53, -59, 39, 13, 8, 14, -40, 46, 53]

Pass 2:
  Compare -54 and -53
  No swap needed
  Compare -53 and -59
  Swap -53 and -59
  List after swap: [-54, -59, -53, 39, 13, 8, 14, -40, 46, 53]
  Compare -53 and 39
  No swap needed
  Compare 39 and 13
  Swap 39 and 13
  List after swap: [-54, -59, -53, 13, 39, 8, 14, -40, 46, 53]
  Compare 39 and 8
  Swap 39 and 8
  List after swap: [-54, -59, -53, 13, 8, 39, 14, -40, 46, 53]
  Compare 39 and 14
  Swap 39 and 14
  List after swap: [-54, -59, -53, 13, 8, 14, 39, -40, 46, 53]
  Compare 39 and -40
  Swap 39 and -40
  List after swap: [-54, -59, -53, 13, 8, 14, -40, 39, 46, 53]
  Compare 39 and 46
  No swap needed

Pass 3:
  Compare -54 and -59
  Swap -54 and -59
  List after swap: [-59, -54, -53, 13, 8, 14, -40, 39, 46, 53]
  Compare -54 and -53
  No swap needed
  Compare -53 and 13
  No swap needed
  Compare 13 and 8
  Swap 13 and 8
  List after swap: [-59, -54, -53, 8, 13, 14, -40, 39, 46, 53]
  Compare 13 and 14
  No swap needed
  Compare 14 and -40
  Swap 14 and -40
  List after swap: [-59, -54, -53, 8, 13, -40, 14, 39, 46, 53]
  Compare 14 and 39
  No swap needed

Pass 4:
  Compare -59 and -54
  No swap needed
  Compare -54 and -53
  No swap needed
  Compare -53 and 8
  No swap needed
  Compare 8 and 13
  No swap needed
  Compare 13 and -40
  Swap 13 and -40
  List after swap: [-59, -54, -53, 8, -40, 13, 14, 39, 46, 53]
  Compare 13 and 14
  No swap needed

Pass 5:
  Compare -59 and -54
  No swap needed
  Compare -54 and -53
  No swap needed
  Compare -53 and 8
  No swap needed
  Compare 8 and -40
  Swap 8 and -40
  List after swap: [-59, -54, -53, -40, 8, 13, 14, 39, 46, 53]
  Compare 8 and 13
  No swap needed

Pass 6:
  Compare -59 and -54
  No swap needed
  Compare -54 and -53
  No swap needed
  Compare -53 and -40
  No swap needed
  Compare -40 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, -54, -53, -40, 8, 13, 14, 39, 46, 53]
</think>

<response>-59, -54, -53, -40, 8, 13, 14, 39, 46, 53</response>