input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -48, -69, -99, -41, -93, 13.

output:
<think>
Initial list: [-48, -69, -99, -41, -93, 13]

Pass 1:
  Compare -48 and -69
  Swap -48 and -69
  List after swap: [-69, -48, -99, -41, -93, 13]
  Compare -48 and -99
  Swap -48 and -99
  List after swap: [-69, -99, -48, -41, -93, 13]
  Compare -48 and -41
  No swap needed
  Compare -41 and -93
  Swap -41 and -93
  List after swap: [-69, -99, -48, -93, -41, 13]
  Compare -41 and 13
  No swap needed

Pass 2:
  Compare -69 and -99
  Swap -69 and -99
  List after swap: [-99, -69, -48, -93, -41, 13]
  Compare -69 and -48
  No swap needed
  Compare -48 and -93
  Swap -48 and -93
  List after swap: [-99, -69, -93, -48, -41, 13]
  Compare -48 and -41
  No swap needed

Pass 3:
  Compare -99 and -69
  No swap needed
  Compare -69 and -93
  Swap -69 and -93
  List after swap: [-99, -93, -69, -48, -41, 13]
  Compare -69 and -48
  No swap needed

Pass 4:
  Compare -99 and -93
  No swap needed
  Compare -93 and -69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -93, -69, -48, -41, 13]
</think>

<response>-99, -93, -69, -48, -41, 13</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 86, 87, 3, -64, 27, 54, 24, 74, -41.

output:
<think>
Initial list: [86, 87, 3, -64, 27, 54, 24, 74, -41]

Pass 1:
  Compare 86 and 87
  No swap needed
  Compare 87 and 3
  Swap 87 and 3
  List after swap: [86, 3, 87, -64, 27, 54, 24, 74, -41]
  Compare 87 and -64
  Swap 87 and -64
  List after swap: [86, 3, -64, 87, 27, 54, 24, 74, -41]
  Compare 87 and 27
  Swap 87 and 27
  List after swap: [86, 3, -64, 27, 87, 54, 24, 74, -41]
  Compare 87 and 54
  Swap 87 and 54
  List after swap: [86, 3, -64, 27, 54, 87, 24, 74, -41]
  Compare 87 and 24
  Swap 87 and 24
  List after swap: [86, 3, -64, 27, 54, 24, 87, 74, -41]
  Compare 87 and 74
  Swap 87 and 74
  List after swap: [86, 3, -64, 27, 54, 24, 74, 87, -41]
  Compare 87 and -41
  Swap 87 and -41
  List after swap: [86, 3, -64, 27, 54, 24, 74, -41, 87]

Pass 2:
  Compare 86 and 3
  Swap 86 and 3
  List after swap: [3, 86, -64, 27, 54, 24, 74, -41, 87]
  Compare 86 and -64
  Swap 86 and -64
  List after swap: [3, -64, 86, 27, 54, 24, 74, -41, 87]
  Compare 86 and 27
  Swap 86 and 27
  List after swap: [3, -64, 27, 86, 54, 24, 74, -41, 87]
  Compare 86 and 54
  Swap 86 and 54
  List after swap: [3, -64, 27, 54, 86, 24, 74, -41, 87]
  Compare 86 and 24
  Swap 86 and 24
  List after swap: [3, -64, 27, 54, 24, 86, 74, -41, 87]
  Compare 86 and 74
  Swap 86 and 74
  List after swap: [3, -64, 27, 54, 24, 74, 86, -41, 87]
  Compare 86 and -41
  Swap 86 and -41
  List after swap: [3, -64, 27, 54, 24, 74, -41, 86, 87]

Pass 3:
  Compare 3 and -64
  Swap 3 and -64
  List after swap: [-64, 3, 27, 54, 24, 74, -41, 86, 87]
  Compare 3 and 27
  No swap needed
  Compare 27 and 54
  No swap needed
  Compare 54 and 24
  Swap 54 and 24
  List after swap: [-64, 3, 27, 24, 54, 74, -41, 86, 87]
  Compare 54 and 74
  No swap needed
  Compare 74 and -41
  Swap 74 and -41
  List after swap: [-64, 3, 27, 24, 54, -41, 74, 86, 87]

Pass 4:
  Compare -64 and 3
  No swap needed
  Compare 3 and 27
  No swap needed
  Compare 27 and 24
  Swap 27 and 24
  List after swap: [-64, 3, 24, 27, 54, -41, 74, 86, 87]
  Compare 27 and 54
  No swap needed
  Compare 54 and -41
  Swap 54 and -41
  List after swap: [-64, 3, 24, 27, -41, 54, 74, 86, 87]

Pass 5:
  Compare -64 and 3
  No swap needed
  Compare 3 and 24
  No swap needed
  Compare 24 and 27
  No swap needed
  Compare 27 and -41
  Swap 27 and -41
  List after swap: [-64, 3, 24, -41, 27, 54, 74, 86, 87]

Pass 6:
  Compare -64 and 3
  No swap needed
  Compare 3 and 24
  No swap needed
  Compare 24 and -41
  Swap 24 and -41
  List after swap: [-64, 3, -41, 24, 27, 54, 74, 86, 87]

Pass 7:
  Compare -64 and 3
  No swap needed
  Compare 3 and -41
  Swap 3 and -41
  List after swap: [-64, -41, 3, 24, 27, 54, 74, 86, 87]

Pass 8:
  Compare -64 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -41, 3, 24, 27, 54, 74, 86, 87]
</think>

<response>-64, -41, 3, 24, 27, 54, 74, 86, 87</response>


input: Sort these integers -57, 70 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-57, 70]

Pass 1:
  Compare -57 and 70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, 70]
</think>

<response>-57, 70</response>


input: Perform a bubble sort on the integers 40, 8, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [40, 8]

Pass 1:
  Compare 40 and 8
  Swap 40 and 8
  List after swap: [8, 40]

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

Final sorted list: [8, 40]
</think>

<response>8, 40</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -45, 39, -52, 9, -90, -100, -33, -75, -42, 5.

output:
<think>
Initial list: [-45, 39, -52, 9, -90, -100, -33, -75, -42, 5]

Pass 1:
  Compare -45 and 39
  No swap needed
  Compare 39 and -52
  Swap 39 and -52
  List after swap: [-45, -52, 39, 9, -90, -100, -33, -75, -42, 5]
  Compare 39 and 9
  Swap 39 and 9
  List after swap: [-45, -52, 9, 39, -90, -100, -33, -75, -42, 5]
  Compare 39 and -90
  Swap 39 and -90
  List after swap: [-45, -52, 9, -90, 39, -100, -33, -75, -42, 5]
  Compare 39 and -100
  Swap 39 and -100
  List after swap: [-45, -52, 9, -90, -100, 39, -33, -75, -42, 5]
  Compare 39 and -33
  Swap 39 and -33
  List after swap: [-45, -52, 9, -90, -100, -33, 39, -75, -42, 5]
  Compare 39 and -75
  Swap 39 and -75
  List after swap: [-45, -52, 9, -90, -100, -33, -75, 39, -42, 5]
  Compare 39 and -42
  Swap 39 and -42
  List after swap: [-45, -52, 9, -90, -100, -33, -75, -42, 39, 5]
  Compare 39 and 5
  Swap 39 and 5
  List after swap: [-45, -52, 9, -90, -100, -33, -75, -42, 5, 39]

Pass 2:
  Compare -45 and -52
  Swap -45 and -52
  List after swap: [-52, -45, 9, -90, -100, -33, -75, -42, 5, 39]
  Compare -45 and 9
  No swap needed
  Compare 9 and -90
  Swap 9 and -90
  List after swap: [-52, -45, -90, 9, -100, -33, -75, -42, 5, 39]
  Compare 9 and -100
  Swap 9 and -100
  List after swap: [-52, -45, -90, -100, 9, -33, -75, -42, 5, 39]
  Compare 9 and -33
  Swap 9 and -33
  List after swap: [-52, -45, -90, -100, -33, 9, -75, -42, 5, 39]
  Compare 9 and -75
  Swap 9 and -75
  List after swap: [-52, -45, -90, -100, -33, -75, 9, -42, 5, 39]
  Compare 9 and -42
  Swap 9 and -42
  List after swap: [-52, -45, -90, -100, -33, -75, -42, 9, 5, 39]
  Compare 9 and 5
  Swap 9 and 5
  List after swap: [-52, -45, -90, -100, -33, -75, -42, 5, 9, 39]

Pass 3:
  Compare -52 and -45
  No swap needed
  Compare -45 and -90
  Swap -45 and -90
  List after swap: [-52, -90, -45, -100, -33, -75, -42, 5, 9, 39]
  Compare -45 and -100
  Swap -45 and -100
  List after swap: [-52, -90, -100, -45, -33, -75, -42, 5, 9, 39]
  Compare -45 and -33
  No swap needed
  Compare -33 and -75
  Swap -33 and -75
  List after swap: [-52, -90, -100, -45, -75, -33, -42, 5, 9, 39]
  Compare -33 and -42
  Swap -33 and -42
  List after swap: [-52, -90, -100, -45, -75, -42, -33, 5, 9, 39]
  Compare -33 and 5
  No swap needed

Pass 4:
  Compare -52 and -90
  Swap -52 and -90
  List after swap: [-90, -52, -100, -45, -75, -42, -33, 5, 9, 39]
  Compare -52 and -100
  Swap -52 and -100
  List after swap: [-90, -100, -52, -45, -75, -42, -33, 5, 9, 39]
  Compare -52 and -45
  No swap needed
  Compare -45 and -75
  Swap -45 and -75
  List after swap: [-90, -100, -52, -75, -45, -42, -33, 5, 9, 39]
  Compare -45 and -42
  No swap needed
  Compare -42 and -33
  No swap needed

Pass 5:
  Compare -90 and -100
  Swap -90 and -100
  List after swap: [-100, -90, -52, -75, -45, -42, -33, 5, 9, 39]
  Compare -90 and -52
  No swap needed
  Compare -52 and -75
  Swap -52 and -75
  List after swap: [-100, -90, -75, -52, -45, -42, -33, 5, 9, 39]
  Compare -52 and -45
  No swap needed
  Compare -45 and -42
  No swap needed

Pass 6:
  Compare -100 and -90
  No swap needed
  Compare -90 and -75
  No swap needed
  Compare -75 and -52
  No swap needed
  Compare -52 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -90, -75, -52, -45, -42, -33, 5, 9, 39]
</think>

<response>-100, -90, -75, -52, -45, -42, -33, 5, 9, 39</response>


input: Arrange the numbers 31, -88 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [31, -88]

Pass 1:
  Compare 31 and -88
  Swap 31 and -88
  List after swap: [-88, 31]

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

Final sorted list: [-88, 31]
</think>

<response>-88, 31</response>


input: Sort the list -8, -26 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-8, -26]

Pass 1:
  Compare -8 and -26
  Swap -8 and -26
  List after swap: [-26, -8]

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

Final sorted list: [-26, -8]
</think>

<response>-26, -8</response>


input: Execute bubble sort to sort 30, 32, 24, -41, 76, 54, -55, -25, 15 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [30, 32, 24, -41, 76, 54, -55, -25, 15]

Pass 1:
  Compare 30 and 32
  No swap needed
  Compare 32 and 24
  Swap 32 and 24
  List after swap: [30, 24, 32, -41, 76, 54, -55, -25, 15]
  Compare 32 and -41
  Swap 32 and -41
  List after swap: [30, 24, -41, 32, 76, 54, -55, -25, 15]
  Compare 32 and 76
  No swap needed
  Compare 76 and 54
  Swap 76 and 54
  List after swap: [30, 24, -41, 32, 54, 76, -55, -25, 15]
  Compare 76 and -55
  Swap 76 and -55
  List after swap: [30, 24, -41, 32, 54, -55, 76, -25, 15]
  Compare 76 and -25
  Swap 76 and -25
  List after swap: [30, 24, -41, 32, 54, -55, -25, 76, 15]
  Compare 76 and 15
  Swap 76 and 15
  List after swap: [30, 24, -41, 32, 54, -55, -25, 15, 76]

Pass 2:
  Compare 30 and 24
  Swap 30 and 24
  List after swap: [24, 30, -41, 32, 54, -55, -25, 15, 76]
  Compare 30 and -41
  Swap 30 and -41
  List after swap: [24, -41, 30, 32, 54, -55, -25, 15, 76]
  Compare 30 and 32
  No swap needed
  Compare 32 and 54
  No swap needed
  Compare 54 and -55
  Swap 54 and -55
  List after swap: [24, -41, 30, 32, -55, 54, -25, 15, 76]
  Compare 54 and -25
  Swap 54 and -25
  List after swap: [24, -41, 30, 32, -55, -25, 54, 15, 76]
  Compare 54 and 15
  Swap 54 and 15
  List after swap: [24, -41, 30, 32, -55, -25, 15, 54, 76]

Pass 3:
  Compare 24 and -41
  Swap 24 and -41
  List after swap: [-41, 24, 30, 32, -55, -25, 15, 54, 76]
  Compare 24 and 30
  No swap needed
  Compare 30 and 32
  No swap needed
  Compare 32 and -55
  Swap 32 and -55
  List after swap: [-41, 24, 30, -55, 32, -25, 15, 54, 76]
  Compare 32 and -25
  Swap 32 and -25
  List after swap: [-41, 24, 30, -55, -25, 32, 15, 54, 76]
  Compare 32 and 15
  Swap 32 and 15
  List after swap: [-41, 24, 30, -55, -25, 15, 32, 54, 76]

Pass 4:
  Compare -41 and 24
  No swap needed
  Compare 24 and 30
  No swap needed
  Compare 30 and -55
  Swap 30 and -55
  List after swap: [-41, 24, -55, 30, -25, 15, 32, 54, 76]
  Compare 30 and -25
  Swap 30 and -25
  List after swap: [-41, 24, -55, -25, 30, 15, 32, 54, 76]
  Compare 30 and 15
  Swap 30 and 15
  List after swap: [-41, 24, -55, -25, 15, 30, 32, 54, 76]

Pass 5:
  Compare -41 and 24
  No swap needed
  Compare 24 and -55
  Swap 24 and -55
  List after swap: [-41, -55, 24, -25, 15, 30, 32, 54, 76]
  Compare 24 and -25
  Swap 24 and -25
  List after swap: [-41, -55, -25, 24, 15, 30, 32, 54, 76]
  Compare 24 and 15
  Swap 24 and 15
  List after swap: [-41, -55, -25, 15, 24, 30, 32, 54, 76]

Pass 6:
  Compare -41 and -55
  Swap -41 and -55
  List after swap: [-55, -41, -25, 15, 24, 30, 32, 54, 76]
  Compare -41 and -25
  No swap needed
  Compare -25 and 15
  No swap needed

Pass 7:
  Compare -55 and -41
  No swap needed
  Compare -41 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, -41, -25, 15, 24, 30, 32, 54, 76]
</think>

<response>-55, -41, -25, 15, 24, 30, 32, 54, 76</response>


input: Arrange the numbers -2, 93, 77, -29 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-2, 93, 77, -29]

Pass 1:
  Compare -2 and 93
  No swap needed
  Compare 93 and 77
  Swap 93 and 77
  List after swap: [-2, 77, 93, -29]
  Compare 93 and -29
  Swap 93 and -29
  List after swap: [-2, 77, -29, 93]

Pass 2:
  Compare -2 and 77
  No swap needed
  Compare 77 and -29
  Swap 77 and -29
  List after swap: [-2, -29, 77, 93]

Pass 3:
  Compare -2 and -29
  Swap -2 and -29
  List after swap: [-29, -2, 77, 93]

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

Final sorted list: [-29, -2, 77, 93]
</think>

<response>-29, -2, 77, 93</response>


input: Carry out the bubble sort algorithm on -55, 90, -99, 20, -37, -3, -17, 71, 9 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-55, 90, -99, 20, -37, -3, -17, 71, 9]

Pass 1:
  Compare -55 and 90
  No swap needed
  Compare 90 and -99
  Swap 90 and -99
  List after swap: [-55, -99, 90, 20, -37, -3, -17, 71, 9]
  Compare 90 and 20
  Swap 90 and 20
  List after swap: [-55, -99, 20, 90, -37, -3, -17, 71, 9]
  Compare 90 and -37
  Swap 90 and -37
  List after swap: [-55, -99, 20, -37, 90, -3, -17, 71, 9]
  Compare 90 and -3
  Swap 90 and -3
  List after swap: [-55, -99, 20, -37, -3, 90, -17, 71, 9]
  Compare 90 and -17
  Swap 90 and -17
  List after swap: [-55, -99, 20, -37, -3, -17, 90, 71, 9]
  Compare 90 and 71
  Swap 90 and 71
  List after swap: [-55, -99, 20, -37, -3, -17, 71, 90, 9]
  Compare 90 and 9
  Swap 90 and 9
  List after swap: [-55, -99, 20, -37, -3, -17, 71, 9, 90]

Pass 2:
  Compare -55 and -99
  Swap -55 and -99
  List after swap: [-99, -55, 20, -37, -3, -17, 71, 9, 90]
  Compare -55 and 20
  No swap needed
  Compare 20 and -37
  Swap 20 and -37
  List after swap: [-99, -55, -37, 20, -3, -17, 71, 9, 90]
  Compare 20 and -3
  Swap 20 and -3
  List after swap: [-99, -55, -37, -3, 20, -17, 71, 9, 90]
  Compare 20 and -17
  Swap 20 and -17
  List after swap: [-99, -55, -37, -3, -17, 20, 71, 9, 90]
  Compare 20 and 71
  No swap needed
  Compare 71 and 9
  Swap 71 and 9
  List after swap: [-99, -55, -37, -3, -17, 20, 9, 71, 90]

Pass 3:
  Compare -99 and -55
  No swap needed
  Compare -55 and -37
  No swap needed
  Compare -37 and -3
  No swap needed
  Compare -3 and -17
  Swap -3 and -17
  List after swap: [-99, -55, -37, -17, -3, 20, 9, 71, 90]
  Compare -3 and 20
  No swap needed
  Compare 20 and 9
  Swap 20 and 9
  List after swap: [-99, -55, -37, -17, -3, 9, 20, 71, 90]

Pass 4:
  Compare -99 and -55
  No swap needed
  Compare -55 and -37
  No swap needed
  Compare -37 and -17
  No swap needed
  Compare -17 and -3
  No swap needed
  Compare -3 and 9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -55, -37, -17, -3, 9, 20, 71, 90]
</think>

<response>-99, -55, -37, -17, -3, 9, 20, 71, 90</response>


input: Execute bubble sort to sort 64, -60, -76 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [64, -60, -76]

Pass 1:
  Compare 64 and -60
  Swap 64 and -60
  List after swap: [-60, 64, -76]
  Compare 64 and -76
  Swap 64 and -76
  List after swap: [-60, -76, 64]

Pass 2:
  Compare -60 and -76
  Swap -60 and -76
  List after swap: [-76, -60, 64]

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

Final sorted list: [-76, -60, 64]
</think>

<response>-76, -60, 64</response>


input: Sort these integers -93, -54, -17, -1, -42, 7, 43 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-93, -54, -17, -1, -42, 7, 43]

Pass 1:
  Compare -93 and -54
  No swap needed
  Compare -54 and -17
  No swap needed
  Compare -17 and -1
  No swap needed
  Compare -1 and -42
  Swap -1 and -42
  List after swap: [-93, -54, -17, -42, -1, 7, 43]
  Compare -1 and 7
  No swap needed
  Compare 7 and 43
  No swap needed

Pass 2:
  Compare -93 and -54
  No swap needed
  Compare -54 and -17
  No swap needed
  Compare -17 and -42
  Swap -17 and -42
  List after swap: [-93, -54, -42, -17, -1, 7, 43]
  Compare -17 and -1
  No swap needed
  Compare -1 and 7
  No swap needed

Pass 3:
  Compare -93 and -54
  No swap needed
  Compare -54 and -42
  No swap needed
  Compare -42 and -17
  No swap needed
  Compare -17 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -54, -42, -17, -1, 7, 43]
</think>

<response>-93, -54, -42, -17, -1, 7, 43</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 25, -52, -57, 37, -79, -31, 58.

output:
<think>
Initial list: [25, -52, -57, 37, -79, -31, 58]

Pass 1:
  Compare 25 and -52
  Swap 25 and -52
  List after swap: [-52, 25, -57, 37, -79, -31, 58]
  Compare 25 and -57
  Swap 25 and -57
  List after swap: [-52, -57, 25, 37, -79, -31, 58]
  Compare 25 and 37
  No swap needed
  Compare 37 and -79
  Swap 37 and -79
  List after swap: [-52, -57, 25, -79, 37, -31, 58]
  Compare 37 and -31
  Swap 37 and -31
  List after swap: [-52, -57, 25, -79, -31, 37, 58]
  Compare 37 and 58
  No swap needed

Pass 2:
  Compare -52 and -57
  Swap -52 and -57
  List after swap: [-57, -52, 25, -79, -31, 37, 58]
  Compare -52 and 25
  No swap needed
  Compare 25 and -79
  Swap 25 and -79
  List after swap: [-57, -52, -79, 25, -31, 37, 58]
  Compare 25 and -31
  Swap 25 and -31
  List after swap: [-57, -52, -79, -31, 25, 37, 58]
  Compare 25 and 37
  No swap needed

Pass 3:
  Compare -57 and -52
  No swap needed
  Compare -52 and -79
  Swap -52 and -79
  List after swap: [-57, -79, -52, -31, 25, 37, 58]
  Compare -52 and -31
  No swap needed
  Compare -31 and 25
  No swap needed

Pass 4:
  Compare -57 and -79
  Swap -57 and -79
  List after swap: [-79, -57, -52, -31, 25, 37, 58]
  Compare -57 and -52
  No swap needed
  Compare -52 and -31
  No swap needed

Pass 5:
  Compare -79 and -57
  No swap needed
  Compare -57 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -57, -52, -31, 25, 37, 58]
</think>

<response>-79, -57, -52, -31, 25, 37, 58</response>


input: Carry out the bubble sort algorithm on -100, -24 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-100, -24]

Pass 1:
  Compare -100 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -24]
</think>

<response>-100, -24</response>


input: Using the bubble sort method, sort -16, -84, -46 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-16, -84, -46]

Pass 1:
  Compare -16 and -84
  Swap -16 and -84
  List after swap: [-84, -16, -46]
  Compare -16 and -46
  Swap -16 and -46
  List after swap: [-84, -46, -16]

Pass 2:
  Compare -84 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -46, -16]
</think>

<response>-84, -46, -16</response>


input: Sort these integers -7, 88, -68, -50, 45, 60 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-7, 88, -68, -50, 45, 60]

Pass 1:
  Compare -7 and 88
  No swap needed
  Compare 88 and -68
  Swap 88 and -68
  List after swap: [-7, -68, 88, -50, 45, 60]
  Compare 88 and -50
  Swap 88 and -50
  List after swap: [-7, -68, -50, 88, 45, 60]
  Compare 88 and 45
  Swap 88 and 45
  List after swap: [-7, -68, -50, 45, 88, 60]
  Compare 88 and 60
  Swap 88 and 60
  List after swap: [-7, -68, -50, 45, 60, 88]

Pass 2:
  Compare -7 and -68
  Swap -7 and -68
  List after swap: [-68, -7, -50, 45, 60, 88]
  Compare -7 and -50
  Swap -7 and -50
  List after swap: [-68, -50, -7, 45, 60, 88]
  Compare -7 and 45
  No swap needed
  Compare 45 and 60
  No swap needed

Pass 3:
  Compare -68 and -50
  No swap needed
  Compare -50 and -7
  No swap needed
  Compare -7 and 45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -50, -7, 45, 60, 88]
</think>

<response>-68, -50, -7, 45, 60, 88</response>


input: Carry out the bubble sort algorithm on -86, 64 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-86, 64]

Pass 1:
  Compare -86 and 64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, 64]
</think>

<response>-86, 64</response>


input: Using the bubble sort method, sort -89, 13, 54, -6, -23 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-89, 13, 54, -6, -23]

Pass 1:
  Compare -89 and 13
  No swap needed
  Compare 13 and 54
  No swap needed
  Compare 54 and -6
  Swap 54 and -6
  List after swap: [-89, 13, -6, 54, -23]
  Compare 54 and -23
  Swap 54 and -23
  List after swap: [-89, 13, -6, -23, 54]

Pass 2:
  Compare -89 and 13
  No swap needed
  Compare 13 and -6
  Swap 13 and -6
  List after swap: [-89, -6, 13, -23, 54]
  Compare 13 and -23
  Swap 13 and -23
  List after swap: [-89, -6, -23, 13, 54]

Pass 3:
  Compare -89 and -6
  No swap needed
  Compare -6 and -23
  Swap -6 and -23
  List after swap: [-89, -23, -6, 13, 54]

Pass 4:
  Compare -89 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -23, -6, 13, 54]
</think>

<response>-89, -23, -6, 13, 54</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -40, -81, 94, 55, 44.

output:
<think>
Initial list: [-40, -81, 94, 55, 44]

Pass 1:
  Compare -40 and -81
  Swap -40 and -81
  List after swap: [-81, -40, 94, 55, 44]
  Compare -40 and 94
  No swap needed
  Compare 94 and 55
  Swap 94 and 55
  List after swap: [-81, -40, 55, 94, 44]
  Compare 94 and 44
  Swap 94 and 44
  List after swap: [-81, -40, 55, 44, 94]

Pass 2:
  Compare -81 and -40
  No swap needed
  Compare -40 and 55
  No swap needed
  Compare 55 and 44
  Swap 55 and 44
  List after swap: [-81, -40, 44, 55, 94]

Pass 3:
  Compare -81 and -40
  No swap needed
  Compare -40 and 44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -40, 44, 55, 94]
</think>

<response>-81, -40, 44, 55, 94</response>


input: Sort these integers -93, 12, -28 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-93, 12, -28]

Pass 1:
  Compare -93 and 12
  No swap needed
  Compare 12 and -28
  Swap 12 and -28
  List after swap: [-93, -28, 12]

Pass 2:
  Compare -93 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -28, 12]
</think>

<response>-93, -28, 12</response>


input: Implement bubble sort on 12, 21, 32, 16, 11, 13, 78, -51, -35 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [12, 21, 32, 16, 11, 13, 78, -51, -35]

Pass 1:
  Compare 12 and 21
  No swap needed
  Compare 21 and 32
  No swap needed
  Compare 32 and 16
  Swap 32 and 16
  List after swap: [12, 21, 16, 32, 11, 13, 78, -51, -35]
  Compare 32 and 11
  Swap 32 and 11
  List after swap: [12, 21, 16, 11, 32, 13, 78, -51, -35]
  Compare 32 and 13
  Swap 32 and 13
  List after swap: [12, 21, 16, 11, 13, 32, 78, -51, -35]
  Compare 32 and 78
  No swap needed
  Compare 78 and -51
  Swap 78 and -51
  List after swap: [12, 21, 16, 11, 13, 32, -51, 78, -35]
  Compare 78 and -35
  Swap 78 and -35
  List after swap: [12, 21, 16, 11, 13, 32, -51, -35, 78]

Pass 2:
  Compare 12 and 21
  No swap needed
  Compare 21 and 16
  Swap 21 and 16
  List after swap: [12, 16, 21, 11, 13, 32, -51, -35, 78]
  Compare 21 and 11
  Swap 21 and 11
  List after swap: [12, 16, 11, 21, 13, 32, -51, -35, 78]
  Compare 21 and 13
  Swap 21 and 13
  List after swap: [12, 16, 11, 13, 21, 32, -51, -35, 78]
  Compare 21 and 32
  No swap needed
  Compare 32 and -51
  Swap 32 and -51
  List after swap: [12, 16, 11, 13, 21, -51, 32, -35, 78]
  Compare 32 and -35
  Swap 32 and -35
  List after swap: [12, 16, 11, 13, 21, -51, -35, 32, 78]

Pass 3:
  Compare 12 and 16
  No swap needed
  Compare 16 and 11
  Swap 16 and 11
  List after swap: [12, 11, 16, 13, 21, -51, -35, 32, 78]
  Compare 16 and 13
  Swap 16 and 13
  List after swap: [12, 11, 13, 16, 21, -51, -35, 32, 78]
  Compare 16 and 21
  No swap needed
  Compare 21 and -51
  Swap 21 and -51
  List after swap: [12, 11, 13, 16, -51, 21, -35, 32, 78]
  Compare 21 and -35
  Swap 21 and -35
  List after swap: [12, 11, 13, 16, -51, -35, 21, 32, 78]

Pass 4:
  Compare 12 and 11
  Swap 12 and 11
  List after swap: [11, 12, 13, 16, -51, -35, 21, 32, 78]
  Compare 12 and 13
  No swap needed
  Compare 13 and 16
  No swap needed
  Compare 16 and -51
  Swap 16 and -51
  List after swap: [11, 12, 13, -51, 16, -35, 21, 32, 78]
  Compare 16 and -35
  Swap 16 and -35
  List after swap: [11, 12, 13, -51, -35, 16, 21, 32, 78]

Pass 5:
  Compare 11 and 12
  No swap needed
  Compare 12 and 13
  No swap needed
  Compare 13 and -51
  Swap 13 and -51
  List after swap: [11, 12, -51, 13, -35, 16, 21, 32, 78]
  Compare 13 and -35
  Swap 13 and -35
  List after swap: [11, 12, -51, -35, 13, 16, 21, 32, 78]

Pass 6:
  Compare 11 and 12
  No swap needed
  Compare 12 and -51
  Swap 12 and -51
  List after swap: [11, -51, 12, -35, 13, 16, 21, 32, 78]
  Compare 12 and -35
  Swap 12 and -35
  List after swap: [11, -51, -35, 12, 13, 16, 21, 32, 78]

Pass 7:
  Compare 11 and -51
  Swap 11 and -51
  List after swap: [-51, 11, -35, 12, 13, 16, 21, 32, 78]
  Compare 11 and -35
  Swap 11 and -35
  List after swap: [-51, -35, 11, 12, 13, 16, 21, 32, 78]

Pass 8:
  Compare -51 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-51, -35, 11, 12, 13, 16, 21, 32, 78]
</think>

<response>-51, -35, 11, 12, 13, 16, 21, 32, 78</response>


input: Using the bubble sort method, sort -93, 77 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-93, 77]

Pass 1:
  Compare -93 and 77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, 77]
</think>

<response>-93, 77</response>


input: Implement bubble sort on -93, 85, 98, 2, 73 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-93, 85, 98, 2, 73]

Pass 1:
  Compare -93 and 85
  No swap needed
  Compare 85 and 98
  No swap needed
  Compare 98 and 2
  Swap 98 and 2
  List after swap: [-93, 85, 2, 98, 73]
  Compare 98 and 73
  Swap 98 and 73
  List after swap: [-93, 85, 2, 73, 98]

Pass 2:
  Compare -93 and 85
  No swap needed
  Compare 85 and 2
  Swap 85 and 2
  List after swap: [-93, 2, 85, 73, 98]
  Compare 85 and 73
  Swap 85 and 73
  List after swap: [-93, 2, 73, 85, 98]

Pass 3:
  Compare -93 and 2
  No swap needed
  Compare 2 and 73
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, 2, 73, 85, 98]
</think>

<response>-93, 2, 73, 85, 98</response>


input: Implement bubble sort on 77, -76, 34, 35, -85, -67, 94, 16, 56 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [77, -76, 34, 35, -85, -67, 94, 16, 56]

Pass 1:
  Compare 77 and -76
  Swap 77 and -76
  List after swap: [-76, 77, 34, 35, -85, -67, 94, 16, 56]
  Compare 77 and 34
  Swap 77 and 34
  List after swap: [-76, 34, 77, 35, -85, -67, 94, 16, 56]
  Compare 77 and 35
  Swap 77 and 35
  List after swap: [-76, 34, 35, 77, -85, -67, 94, 16, 56]
  Compare 77 and -85
  Swap 77 and -85
  List after swap: [-76, 34, 35, -85, 77, -67, 94, 16, 56]
  Compare 77 and -67
  Swap 77 and -67
  List after swap: [-76, 34, 35, -85, -67, 77, 94, 16, 56]
  Compare 77 and 94
  No swap needed
  Compare 94 and 16
  Swap 94 and 16
  List after swap: [-76, 34, 35, -85, -67, 77, 16, 94, 56]
  Compare 94 and 56
  Swap 94 and 56
  List after swap: [-76, 34, 35, -85, -67, 77, 16, 56, 94]

Pass 2:
  Compare -76 and 34
  No swap needed
  Compare 34 and 35
  No swap needed
  Compare 35 and -85
  Swap 35 and -85
  List after swap: [-76, 34, -85, 35, -67, 77, 16, 56, 94]
  Compare 35 and -67
  Swap 35 and -67
  List after swap: [-76, 34, -85, -67, 35, 77, 16, 56, 94]
  Compare 35 and 77
  No swap needed
  Compare 77 and 16
  Swap 77 and 16
  List after swap: [-76, 34, -85, -67, 35, 16, 77, 56, 94]
  Compare 77 and 56
  Swap 77 and 56
  List after swap: [-76, 34, -85, -67, 35, 16, 56, 77, 94]

Pass 3:
  Compare -76 and 34
  No swap needed
  Compare 34 and -85
  Swap 34 and -85
  List after swap: [-76, -85, 34, -67, 35, 16, 56, 77, 94]
  Compare 34 and -67
  Swap 34 and -67
  List after swap: [-76, -85, -67, 34, 35, 16, 56, 77, 94]
  Compare 34 and 35
  No swap needed
  Compare 35 and 16
  Swap 35 and 16
  List after swap: [-76, -85, -67, 34, 16, 35, 56, 77, 94]
  Compare 35 and 56
  No swap needed

Pass 4:
  Compare -76 and -85
  Swap -76 and -85
  List after swap: [-85, -76, -67, 34, 16, 35, 56, 77, 94]
  Compare -76 and -67
  No swap needed
  Compare -67 and 34
  No swap needed
  Compare 34 and 16
  Swap 34 and 16
  List after swap: [-85, -76, -67, 16, 34, 35, 56, 77, 94]
  Compare 34 and 35
  No swap needed

Pass 5:
  Compare -85 and -76
  No swap needed
  Compare -76 and -67
  No swap needed
  Compare -67 and 16
  No swap needed
  Compare 16 and 34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -76, -67, 16, 34, 35, 56, 77, 94]
</think>

<response>-85, -76, -67, 16, 34, 35, 56, 77, 94</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -9, -27, 15.

output:
<think>
Initial list: [-9, -27, 15]

Pass 1:
  Compare -9 and -27
  Swap -9 and -27
  List after swap: [-27, -9, 15]
  Compare -9 and 15
  No swap needed

Pass 2:
  Compare -27 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-27, -9, 15]
</think>

<response>-27, -9, 15</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -85, 10, -92, -69, -13, -27.

output:
<think>
Initial list: [-85, 10, -92, -69, -13, -27]

Pass 1:
  Compare -85 and 10
  No swap needed
  Compare 10 and -92
  Swap 10 and -92
  List after swap: [-85, -92, 10, -69, -13, -27]
  Compare 10 and -69
  Swap 10 and -69
  List after swap: [-85, -92, -69, 10, -13, -27]
  Compare 10 and -13
  Swap 10 and -13
  List after swap: [-85, -92, -69, -13, 10, -27]
  Compare 10 and -27
  Swap 10 and -27
  List after swap: [-85, -92, -69, -13, -27, 10]

Pass 2:
  Compare -85 and -92
  Swap -85 and -92
  List after swap: [-92, -85, -69, -13, -27, 10]
  Compare -85 and -69
  No swap needed
  Compare -69 and -13
  No swap needed
  Compare -13 and -27
  Swap -13 and -27
  List after swap: [-92, -85, -69, -27, -13, 10]

Pass 3:
  Compare -92 and -85
  No swap needed
  Compare -85 and -69
  No swap needed
  Compare -69 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -85, -69, -27, -13, 10]
</think>

<response>-92, -85, -69, -27, -13, 10</response>


input: Perform a bubble sort on the integers 11, -12, -63, -82, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [11, -12, -63, -82]

Pass 1:
  Compare 11 and -12
  Swap 11 and -12
  List after swap: [-12, 11, -63, -82]
  Compare 11 and -63
  Swap 11 and -63
  List after swap: [-12, -63, 11, -82]
  Compare 11 and -82
  Swap 11 and -82
  List after swap: [-12, -63, -82, 11]

Pass 2:
  Compare -12 and -63
  Swap -12 and -63
  List after swap: [-63, -12, -82, 11]
  Compare -12 and -82
  Swap -12 and -82
  List after swap: [-63, -82, -12, 11]

Pass 3:
  Compare -63 and -82
  Swap -63 and -82
  List after swap: [-82, -63, -12, 11]

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

Final sorted list: [-82, -63, -12, 11]
</think>

<response>-82, -63, -12, 11</response>


input: Sort these integers 57, -66, -16, 42, 7, 24, -44 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [57, -66, -16, 42, 7, 24, -44]

Pass 1:
  Compare 57 and -66
  Swap 57 and -66
  List after swap: [-66, 57, -16, 42, 7, 24, -44]
  Compare 57 and -16
  Swap 57 and -16
  List after swap: [-66, -16, 57, 42, 7, 24, -44]
  Compare 57 and 42
  Swap 57 and 42
  List after swap: [-66, -16, 42, 57, 7, 24, -44]
  Compare 57 and 7
  Swap 57 and 7
  List after swap: [-66, -16, 42, 7, 57, 24, -44]
  Compare 57 and 24
  Swap 57 and 24
  List after swap: [-66, -16, 42, 7, 24, 57, -44]
  Compare 57 and -44
  Swap 57 and -44
  List after swap: [-66, -16, 42, 7, 24, -44, 57]

Pass 2:
  Compare -66 and -16
  No swap needed
  Compare -16 and 42
  No swap needed
  Compare 42 and 7
  Swap 42 and 7
  List after swap: [-66, -16, 7, 42, 24, -44, 57]
  Compare 42 and 24
  Swap 42 and 24
  List after swap: [-66, -16, 7, 24, 42, -44, 57]
  Compare 42 and -44
  Swap 42 and -44
  List after swap: [-66, -16, 7, 24, -44, 42, 57]

Pass 3:
  Compare -66 and -16
  No swap needed
  Compare -16 and 7
  No swap needed
  Compare 7 and 24
  No swap needed
  Compare 24 and -44
  Swap 24 and -44
  List after swap: [-66, -16, 7, -44, 24, 42, 57]

Pass 4:
  Compare -66 and -16
  No swap needed
  Compare -16 and 7
  No swap needed
  Compare 7 and -44
  Swap 7 and -44
  List after swap: [-66, -16, -44, 7, 24, 42, 57]

Pass 5:
  Compare -66 and -16
  No swap needed
  Compare -16 and -44
  Swap -16 and -44
  List after swap: [-66, -44, -16, 7, 24, 42, 57]

Pass 6:
  Compare -66 and -44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -44, -16, 7, 24, 42, 57]
</think>

<response>-66, -44, -16, 7, 24, 42, 57</response>


input: Using the bubble sort method, sort -72, -88, 61 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-72, -88, 61]

Pass 1:
  Compare -72 and -88
  Swap -72 and -88
  List after swap: [-88, -72, 61]
  Compare -72 and 61
  No swap needed

Pass 2:
  Compare -88 and -72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -72, 61]
</think>

<response>-88, -72, 61</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 37, 73, 14.

output:
<think>
Initial list: [37, 73, 14]

Pass 1:
  Compare 37 and 73
  No swap needed
  Compare 73 and 14
  Swap 73 and 14
  List after swap: [37, 14, 73]

Pass 2:
  Compare 37 and 14
  Swap 37 and 14
  List after swap: [14, 37, 73]

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

Final sorted list: [14, 37, 73]
</think>

<response>14, 37, 73</response>


input: Using the bubble sort method, sort -82, -63, 56, -64, 36, -88, -76, -67, 32 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-82, -63, 56, -64, 36, -88, -76, -67, 32]

Pass 1:
  Compare -82 and -63
  No swap needed
  Compare -63 and 56
  No swap needed
  Compare 56 and -64
  Swap 56 and -64
  List after swap: [-82, -63, -64, 56, 36, -88, -76, -67, 32]
  Compare 56 and 36
  Swap 56 and 36
  List after swap: [-82, -63, -64, 36, 56, -88, -76, -67, 32]
  Compare 56 and -88
  Swap 56 and -88
  List after swap: [-82, -63, -64, 36, -88, 56, -76, -67, 32]
  Compare 56 and -76
  Swap 56 and -76
  List after swap: [-82, -63, -64, 36, -88, -76, 56, -67, 32]
  Compare 56 and -67
  Swap 56 and -67
  List after swap: [-82, -63, -64, 36, -88, -76, -67, 56, 32]
  Compare 56 and 32
  Swap 56 and 32
  List after swap: [-82, -63, -64, 36, -88, -76, -67, 32, 56]

Pass 2:
  Compare -82 and -63
  No swap needed
  Compare -63 and -64
  Swap -63 and -64
  List after swap: [-82, -64, -63, 36, -88, -76, -67, 32, 56]
  Compare -63 and 36
  No swap needed
  Compare 36 and -88
  Swap 36 and -88
  List after swap: [-82, -64, -63, -88, 36, -76, -67, 32, 56]
  Compare 36 and -76
  Swap 36 and -76
  List after swap: [-82, -64, -63, -88, -76, 36, -67, 32, 56]
  Compare 36 and -67
  Swap 36 and -67
  List after swap: [-82, -64, -63, -88, -76, -67, 36, 32, 56]
  Compare 36 and 32
  Swap 36 and 32
  List after swap: [-82, -64, -63, -88, -76, -67, 32, 36, 56]

Pass 3:
  Compare -82 and -64
  No swap needed
  Compare -64 and -63
  No swap needed
  Compare -63 and -88
  Swap -63 and -88
  List after swap: [-82, -64, -88, -63, -76, -67, 32, 36, 56]
  Compare -63 and -76
  Swap -63 and -76
  List after swap: [-82, -64, -88, -76, -63, -67, 32, 36, 56]
  Compare -63 and -67
  Swap -63 and -67
  List after swap: [-82, -64, -88, -76, -67, -63, 32, 36, 56]
  Compare -63 and 32
  No swap needed

Pass 4:
  Compare -82 and -64
  No swap needed
  Compare -64 and -88
  Swap -64 and -88
  List after swap: [-82, -88, -64, -76, -67, -63, 32, 36, 56]
  Compare -64 and -76
  Swap -64 and -76
  List after swap: [-82, -88, -76, -64, -67, -63, 32, 36, 56]
  Compare -64 and -67
  Swap -64 and -67
  List after swap: [-82, -88, -76, -67, -64, -63, 32, 36, 56]
  Compare -64 and -63
  No swap needed

Pass 5:
  Compare -82 and -88
  Swap -82 and -88
  List after swap: [-88, -82, -76, -67, -64, -63, 32, 36, 56]
  Compare -82 and -76
  No swap needed
  Compare -76 and -67
  No swap needed
  Compare -67 and -64
  No swap needed

Pass 6:
  Compare -88 and -82
  No swap needed
  Compare -82 and -76
  No swap needed
  Compare -76 and -67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -82, -76, -67, -64, -63, 32, 36, 56]
</think>

<response>-88, -82, -76, -67, -64, -63, 32, 36, 56</response>


input: Arrange the numbers 11, 65, -77, 85, 41, -39, 15 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [11, 65, -77, 85, 41, -39, 15]

Pass 1:
  Compare 11 and 65
  No swap needed
  Compare 65 and -77
  Swap 65 and -77
  List after swap: [11, -77, 65, 85, 41, -39, 15]
  Compare 65 and 85
  No swap needed
  Compare 85 and 41
  Swap 85 and 41
  List after swap: [11, -77, 65, 41, 85, -39, 15]
  Compare 85 and -39
  Swap 85 and -39
  List after swap: [11, -77, 65, 41, -39, 85, 15]
  Compare 85 and 15
  Swap 85 and 15
  List after swap: [11, -77, 65, 41, -39, 15, 85]

Pass 2:
  Compare 11 and -77
  Swap 11 and -77
  List after swap: [-77, 11, 65, 41, -39, 15, 85]
  Compare 11 and 65
  No swap needed
  Compare 65 and 41
  Swap 65 and 41
  List after swap: [-77, 11, 41, 65, -39, 15, 85]
  Compare 65 and -39
  Swap 65 and -39
  List after swap: [-77, 11, 41, -39, 65, 15, 85]
  Compare 65 and 15
  Swap 65 and 15
  List after swap: [-77, 11, 41, -39, 15, 65, 85]

Pass 3:
  Compare -77 and 11
  No swap needed
  Compare 11 and 41
  No swap needed
  Compare 41 and -39
  Swap 41 and -39
  List after swap: [-77, 11, -39, 41, 15, 65, 85]
  Compare 41 and 15
  Swap 41 and 15
  List after swap: [-77, 11, -39, 15, 41, 65, 85]

Pass 4:
  Compare -77 and 11
  No swap needed
  Compare 11 and -39
  Swap 11 and -39
  List after swap: [-77, -39, 11, 15, 41, 65, 85]
  Compare 11 and 15
  No swap needed

Pass 5:
  Compare -77 and -39
  No swap needed
  Compare -39 and 11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -39, 11, 15, 41, 65, 85]
</think>

<response>-77, -39, 11, 15, 41, 65, 85</response>


input: Perform a bubble sort on the integers -57, -48, 80, 14, 94, 12, 78, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-57, -48, 80, 14, 94, 12, 78]

Pass 1:
  Compare -57 and -48
  No swap needed
  Compare -48 and 80
  No swap needed
  Compare 80 and 14
  Swap 80 and 14
  List after swap: [-57, -48, 14, 80, 94, 12, 78]
  Compare 80 and 94
  No swap needed
  Compare 94 and 12
  Swap 94 and 12
  List after swap: [-57, -48, 14, 80, 12, 94, 78]
  Compare 94 and 78
  Swap 94 and 78
  List after swap: [-57, -48, 14, 80, 12, 78, 94]

Pass 2:
  Compare -57 and -48
  No swap needed
  Compare -48 and 14
  No swap needed
  Compare 14 and 80
  No swap needed
  Compare 80 and 12
  Swap 80 and 12
  List after swap: [-57, -48, 14, 12, 80, 78, 94]
  Compare 80 and 78
  Swap 80 and 78
  List after swap: [-57, -48, 14, 12, 78, 80, 94]

Pass 3:
  Compare -57 and -48
  No swap needed
  Compare -48 and 14
  No swap needed
  Compare 14 and 12
  Swap 14 and 12
  List after swap: [-57, -48, 12, 14, 78, 80, 94]
  Compare 14 and 78
  No swap needed

Pass 4:
  Compare -57 and -48
  No swap needed
  Compare -48 and 12
  No swap needed
  Compare 12 and 14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -48, 12, 14, 78, 80, 94]
</think>

<response>-57, -48, 12, 14, 78, 80, 94</response>


input: Perform a bubble sort on the integers 66, 1, 78, -92, 79, 11, 42, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [66, 1, 78, -92, 79, 11, 42]

Pass 1:
  Compare 66 and 1
  Swap 66 and 1
  List after swap: [1, 66, 78, -92, 79, 11, 42]
  Compare 66 and 78
  No swap needed
  Compare 78 and -92
  Swap 78 and -92
  List after swap: [1, 66, -92, 78, 79, 11, 42]
  Compare 78 and 79
  No swap needed
  Compare 79 and 11
  Swap 79 and 11
  List after swap: [1, 66, -92, 78, 11, 79, 42]
  Compare 79 and 42
  Swap 79 and 42
  List after swap: [1, 66, -92, 78, 11, 42, 79]

Pass 2:
  Compare 1 and 66
  No swap needed
  Compare 66 and -92
  Swap 66 and -92
  List after swap: [1, -92, 66, 78, 11, 42, 79]
  Compare 66 and 78
  No swap needed
  Compare 78 and 11
  Swap 78 and 11
  List after swap: [1, -92, 66, 11, 78, 42, 79]
  Compare 78 and 42
  Swap 78 and 42
  List after swap: [1, -92, 66, 11, 42, 78, 79]

Pass 3:
  Compare 1 and -92
  Swap 1 and -92
  List after swap: [-92, 1, 66, 11, 42, 78, 79]
  Compare 1 and 66
  No swap needed
  Compare 66 and 11
  Swap 66 and 11
  List after swap: [-92, 1, 11, 66, 42, 78, 79]
  Compare 66 and 42
  Swap 66 and 42
  List after swap: [-92, 1, 11, 42, 66, 78, 79]

Pass 4:
  Compare -92 and 1
  No swap needed
  Compare 1 and 11
  No swap needed
  Compare 11 and 42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, 1, 11, 42, 66, 78, 79]
</think>

<response>-92, 1, 11, 42, 66, 78, 79</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 47, -84, 98, 62, -87, -18, -37, 3, 36, 61.

output:
<think>
Initial list: [47, -84, 98, 62, -87, -18, -37, 3, 36, 61]

Pass 1:
  Compare 47 and -84
  Swap 47 and -84
  List after swap: [-84, 47, 98, 62, -87, -18, -37, 3, 36, 61]
  Compare 47 and 98
  No swap needed
  Compare 98 and 62
  Swap 98 and 62
  List after swap: [-84, 47, 62, 98, -87, -18, -37, 3, 36, 61]
  Compare 98 and -87
  Swap 98 and -87
  List after swap: [-84, 47, 62, -87, 98, -18, -37, 3, 36, 61]
  Compare 98 and -18
  Swap 98 and -18
  List after swap: [-84, 47, 62, -87, -18, 98, -37, 3, 36, 61]
  Compare 98 and -37
  Swap 98 and -37
  List after swap: [-84, 47, 62, -87, -18, -37, 98, 3, 36, 61]
  Compare 98 and 3
  Swap 98 and 3
  List after swap: [-84, 47, 62, -87, -18, -37, 3, 98, 36, 61]
  Compare 98 and 36
  Swap 98 and 36
  List after swap: [-84, 47, 62, -87, -18, -37, 3, 36, 98, 61]
  Compare 98 and 61
  Swap 98 and 61
  List after swap: [-84, 47, 62, -87, -18, -37, 3, 36, 61, 98]

Pass 2:
  Compare -84 and 47
  No swap needed
  Compare 47 and 62
  No swap needed
  Compare 62 and -87
  Swap 62 and -87
  List after swap: [-84, 47, -87, 62, -18, -37, 3, 36, 61, 98]
  Compare 62 and -18
  Swap 62 and -18
  List after swap: [-84, 47, -87, -18, 62, -37, 3, 36, 61, 98]
  Compare 62 and -37
  Swap 62 and -37
  List after swap: [-84, 47, -87, -18, -37, 62, 3, 36, 61, 98]
  Compare 62 and 3
  Swap 62 and 3
  List after swap: [-84, 47, -87, -18, -37, 3, 62, 36, 61, 98]
  Compare 62 and 36
  Swap 62 and 36
  List after swap: [-84, 47, -87, -18, -37, 3, 36, 62, 61, 98]
  Compare 62 and 61
  Swap 62 and 61
  List after swap: [-84, 47, -87, -18, -37, 3, 36, 61, 62, 98]

Pass 3:
  Compare -84 and 47
  No swap needed
  Compare 47 and -87
  Swap 47 and -87
  List after swap: [-84, -87, 47, -18, -37, 3, 36, 61, 62, 98]
  Compare 47 and -18
  Swap 47 and -18
  List after swap: [-84, -87, -18, 47, -37, 3, 36, 61, 62, 98]
  Compare 47 and -37
  Swap 47 and -37
  List after swap: [-84, -87, -18, -37, 47, 3, 36, 61, 62, 98]
  Compare 47 and 3
  Swap 47 and 3
  List after swap: [-84, -87, -18, -37, 3, 47, 36, 61, 62, 98]
  Compare 47 and 36
  Swap 47 and 36
  List after swap: [-84, -87, -18, -37, 3, 36, 47, 61, 62, 98]
  Compare 47 and 61
  No swap needed

Pass 4:
  Compare -84 and -87
  Swap -84 and -87
  List after swap: [-87, -84, -18, -37, 3, 36, 47, 61, 62, 98]
  Compare -84 and -18
  No swap needed
  Compare -18 and -37
  Swap -18 and -37
  List after swap: [-87, -84, -37, -18, 3, 36, 47, 61, 62, 98]
  Compare -18 and 3
  No swap needed
  Compare 3 and 36
  No swap needed
  Compare 36 and 47
  No swap needed

Pass 5:
  Compare -87 and -84
  No swap needed
  Compare -84 and -37
  No swap needed
  Compare -37 and -18
  No swap needed
  Compare -18 and 3
  No swap needed
  Compare 3 and 36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -84, -37, -18, 3, 36, 47, 61, 62, 98]
</think>

<response>-87, -84, -37, -18, 3, 36, 47, 61, 62, 98</response>


input: Use the bubble sort technique to reorder -10, 52, -19, 41, -98, -62, 86, -42, -76 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-10, 52, -19, 41, -98, -62, 86, -42, -76]

Pass 1:
  Compare -10 and 52
  No swap needed
  Compare 52 and -19
  Swap 52 and -19
  List after swap: [-10, -19, 52, 41, -98, -62, 86, -42, -76]
  Compare 52 and 41
  Swap 52 and 41
  List after swap: [-10, -19, 41, 52, -98, -62, 86, -42, -76]
  Compare 52 and -98
  Swap 52 and -98
  List after swap: [-10, -19, 41, -98, 52, -62, 86, -42, -76]
  Compare 52 and -62
  Swap 52 and -62
  List after swap: [-10, -19, 41, -98, -62, 52, 86, -42, -76]
  Compare 52 and 86
  No swap needed
  Compare 86 and -42
  Swap 86 and -42
  List after swap: [-10, -19, 41, -98, -62, 52, -42, 86, -76]
  Compare 86 and -76
  Swap 86 and -76
  List after swap: [-10, -19, 41, -98, -62, 52, -42, -76, 86]

Pass 2:
  Compare -10 and -19
  Swap -10 and -19
  List after swap: [-19, -10, 41, -98, -62, 52, -42, -76, 86]
  Compare -10 and 41
  No swap needed
  Compare 41 and -98
  Swap 41 and -98
  List after swap: [-19, -10, -98, 41, -62, 52, -42, -76, 86]
  Compare 41 and -62
  Swap 41 and -62
  List after swap: [-19, -10, -98, -62, 41, 52, -42, -76, 86]
  Compare 41 and 52
  No swap needed
  Compare 52 and -42
  Swap 52 and -42
  List after swap: [-19, -10, -98, -62, 41, -42, 52, -76, 86]
  Compare 52 and -76
  Swap 52 and -76
  List after swap: [-19, -10, -98, -62, 41, -42, -76, 52, 86]

Pass 3:
  Compare -19 and -10
  No swap needed
  Compare -10 and -98
  Swap -10 and -98
  List after swap: [-19, -98, -10, -62, 41, -42, -76, 52, 86]
  Compare -10 and -62
  Swap -10 and -62
  List after swap: [-19, -98, -62, -10, 41, -42, -76, 52, 86]
  Compare -10 and 41
  No swap needed
  Compare 41 and -42
  Swap 41 and -42
  List after swap: [-19, -98, -62, -10, -42, 41, -76, 52, 86]
  Compare 41 and -76
  Swap 41 and -76
  List after swap: [-19, -98, -62, -10, -42, -76, 41, 52, 86]

Pass 4:
  Compare -19 and -98
  Swap -19 and -98
  List after swap: [-98, -19, -62, -10, -42, -76, 41, 52, 86]
  Compare -19 and -62
  Swap -19 and -62
  List after swap: [-98, -62, -19, -10, -42, -76, 41, 52, 86]
  Compare -19 and -10
  No swap needed
  Compare -10 and -42
  Swap -10 and -42
  List after swap: [-98, -62, -19, -42, -10, -76, 41, 52, 86]
  Compare -10 and -76
  Swap -10 and -76
  List after swap: [-98, -62, -19, -42, -76, -10, 41, 52, 86]

Pass 5:
  Compare -98 and -62
  No swap needed
  Compare -62 and -19
  No swap needed
  Compare -19 and -42
  Swap -19 and -42
  List after swap: [-98, -62, -42, -19, -76, -10, 41, 52, 86]
  Compare -19 and -76
  Swap -19 and -76
  List after swap: [-98, -62, -42, -76, -19, -10, 41, 52, 86]

Pass 6:
  Compare -98 and -62
  No swap needed
  Compare -62 and -42
  No swap needed
  Compare -42 and -76
  Swap -42 and -76
  List after swap: [-98, -62, -76, -42, -19, -10, 41, 52, 86]

Pass 7:
  Compare -98 and -62
  No swap needed
  Compare -62 and -76
  Swap -62 and -76
  List after swap: [-98, -76, -62, -42, -19, -10, 41, 52, 86]

Pass 8:
  Compare -98 and -76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -76, -62, -42, -19, -10, 41, 52, 86]
</think>

<response>-98, -76, -62, -42, -19, -10, 41, 52, 86</response>


input: Demonstrate how bubble sort orders the integers 68, -53, -74, -20, -28 in ascending sequence, showing all steps.

output:
<think>
Initial list: [68, -53, -74, -20, -28]

Pass 1:
  Compare 68 and -53
  Swap 68 and -53
  List after swap: [-53, 68, -74, -20, -28]
  Compare 68 and -74
  Swap 68 and -74
  List after swap: [-53, -74, 68, -20, -28]
  Compare 68 and -20
  Swap 68 and -20
  List after swap: [-53, -74, -20, 68, -28]
  Compare 68 and -28
  Swap 68 and -28
  List after swap: [-53, -74, -20, -28, 68]

Pass 2:
  Compare -53 and -74
  Swap -53 and -74
  List after swap: [-74, -53, -20, -28, 68]
  Compare -53 and -20
  No swap needed
  Compare -20 and -28
  Swap -20 and -28
  List after swap: [-74, -53, -28, -20, 68]

Pass 3:
  Compare -74 and -53
  No swap needed
  Compare -53 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -53, -28, -20, 68]
</think>

<response>-74, -53, -28, -20, 68</response>


input: Execute bubble sort to sort -74, -30, -60 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-74, -30, -60]

Pass 1:
  Compare -74 and -30
  No swap needed
  Compare -30 and -60
  Swap -30 and -60
  List after swap: [-74, -60, -30]

Pass 2:
  Compare -74 and -60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -60, -30]
</think>

<response>-74, -60, -30</response>


input: Execute bubble sort to sort 37, 2, -82 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [37, 2, -82]

Pass 1:
  Compare 37 and 2
  Swap 37 and 2
  List after swap: [2, 37, -82]
  Compare 37 and -82
  Swap 37 and -82
  List after swap: [2, -82, 37]

Pass 2:
  Compare 2 and -82
  Swap 2 and -82
  List after swap: [-82, 2, 37]

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

Final sorted list: [-82, 2, 37]
</think>

<response>-82, 2, 37</response>


input: Execute bubble sort to sort 53, 63, -93 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [53, 63, -93]

Pass 1:
  Compare 53 and 63
  No swap needed
  Compare 63 and -93
  Swap 63 and -93
  List after swap: [53, -93, 63]

Pass 2:
  Compare 53 and -93
  Swap 53 and -93
  List after swap: [-93, 53, 63]

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

Final sorted list: [-93, 53, 63]
</think>

<response>-93, 53, 63</response>


input: Perform a bubble sort on the integers -41, 9, -69, 34, 89, 68, 40, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-41, 9, -69, 34, 89, 68, 40]

Pass 1:
  Compare -41 and 9
  No swap needed
  Compare 9 and -69
  Swap 9 and -69
  List after swap: [-41, -69, 9, 34, 89, 68, 40]
  Compare 9 and 34
  No swap needed
  Compare 34 and 89
  No swap needed
  Compare 89 and 68
  Swap 89 and 68
  List after swap: [-41, -69, 9, 34, 68, 89, 40]
  Compare 89 and 40
  Swap 89 and 40
  List after swap: [-41, -69, 9, 34, 68, 40, 89]

Pass 2:
  Compare -41 and -69
  Swap -41 and -69
  List after swap: [-69, -41, 9, 34, 68, 40, 89]
  Compare -41 and 9
  No swap needed
  Compare 9 and 34
  No swap needed
  Compare 34 and 68
  No swap needed
  Compare 68 and 40
  Swap 68 and 40
  List after swap: [-69, -41, 9, 34, 40, 68, 89]

Pass 3:
  Compare -69 and -41
  No swap needed
  Compare -41 and 9
  No swap needed
  Compare 9 and 34
  No swap needed
  Compare 34 and 40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -41, 9, 34, 40, 68, 89]
</think>

<response>-69, -41, 9, 34, 40, 68, 89</response>


input: Sort the list 21, 54, -26, -23 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [21, 54, -26, -23]

Pass 1:
  Compare 21 and 54
  No swap needed
  Compare 54 and -26
  Swap 54 and -26
  List after swap: [21, -26, 54, -23]
  Compare 54 and -23
  Swap 54 and -23
  List after swap: [21, -26, -23, 54]

Pass 2:
  Compare 21 and -26
  Swap 21 and -26
  List after swap: [-26, 21, -23, 54]
  Compare 21 and -23
  Swap 21 and -23
  List after swap: [-26, -23, 21, 54]

Pass 3:
  Compare -26 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-26, -23, 21, 54]
</think>

<response>-26, -23, 21, 54</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -57, 55, 39, -76, 57, -60.

output:
<think>
Initial list: [-57, 55, 39, -76, 57, -60]

Pass 1:
  Compare -57 and 55
  No swap needed
  Compare 55 and 39
  Swap 55 and 39
  List after swap: [-57, 39, 55, -76, 57, -60]
  Compare 55 and -76
  Swap 55 and -76
  List after swap: [-57, 39, -76, 55, 57, -60]
  Compare 55 and 57
  No swap needed
  Compare 57 and -60
  Swap 57 and -60
  List after swap: [-57, 39, -76, 55, -60, 57]

Pass 2:
  Compare -57 and 39
  No swap needed
  Compare 39 and -76
  Swap 39 and -76
  List after swap: [-57, -76, 39, 55, -60, 57]
  Compare 39 and 55
  No swap needed
  Compare 55 and -60
  Swap 55 and -60
  List after swap: [-57, -76, 39, -60, 55, 57]

Pass 3:
  Compare -57 and -76
  Swap -57 and -76
  List after swap: [-76, -57, 39, -60, 55, 57]
  Compare -57 and 39
  No swap needed
  Compare 39 and -60
  Swap 39 and -60
  List after swap: [-76, -57, -60, 39, 55, 57]

Pass 4:
  Compare -76 and -57
  No swap needed
  Compare -57 and -60
  Swap -57 and -60
  List after swap: [-76, -60, -57, 39, 55, 57]

Pass 5:
  Compare -76 and -60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -60, -57, 39, 55, 57]
</think>

<response>-76, -60, -57, 39, 55, 57</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -61, 74, 27, -34, 57, -53, 20, -65, 77, 28.

output:
<think>
Initial list: [-61, 74, 27, -34, 57, -53, 20, -65, 77, 28]

Pass 1:
  Compare -61 and 74
  No swap needed
  Compare 74 and 27
  Swap 74 and 27
  List after swap: [-61, 27, 74, -34, 57, -53, 20, -65, 77, 28]
  Compare 74 and -34
  Swap 74 and -34
  List after swap: [-61, 27, -34, 74, 57, -53, 20, -65, 77, 28]
  Compare 74 and 57
  Swap 74 and 57
  List after swap: [-61, 27, -34, 57, 74, -53, 20, -65, 77, 28]
  Compare 74 and -53
  Swap 74 and -53
  List after swap: [-61, 27, -34, 57, -53, 74, 20, -65, 77, 28]
  Compare 74 and 20
  Swap 74 and 20
  List after swap: [-61, 27, -34, 57, -53, 20, 74, -65, 77, 28]
  Compare 74 and -65
  Swap 74 and -65
  List after swap: [-61, 27, -34, 57, -53, 20, -65, 74, 77, 28]
  Compare 74 and 77
  No swap needed
  Compare 77 and 28
  Swap 77 and 28
  List after swap: [-61, 27, -34, 57, -53, 20, -65, 74, 28, 77]

Pass 2:
  Compare -61 and 27
  No swap needed
  Compare 27 and -34
  Swap 27 and -34
  List after swap: [-61, -34, 27, 57, -53, 20, -65, 74, 28, 77]
  Compare 27 and 57
  No swap needed
  Compare 57 and -53
  Swap 57 and -53
  List after swap: [-61, -34, 27, -53, 57, 20, -65, 74, 28, 77]
  Compare 57 and 20
  Swap 57 and 20
  List after swap: [-61, -34, 27, -53, 20, 57, -65, 74, 28, 77]
  Compare 57 and -65
  Swap 57 and -65
  List after swap: [-61, -34, 27, -53, 20, -65, 57, 74, 28, 77]
  Compare 57 and 74
  No swap needed
  Compare 74 and 28
  Swap 74 and 28
  List after swap: [-61, -34, 27, -53, 20, -65, 57, 28, 74, 77]

Pass 3:
  Compare -61 and -34
  No swap needed
  Compare -34 and 27
  No swap needed
  Compare 27 and -53
  Swap 27 and -53
  List after swap: [-61, -34, -53, 27, 20, -65, 57, 28, 74, 77]
  Compare 27 and 20
  Swap 27 and 20
  List after swap: [-61, -34, -53, 20, 27, -65, 57, 28, 74, 77]
  Compare 27 and -65
  Swap 27 and -65
  List after swap: [-61, -34, -53, 20, -65, 27, 57, 28, 74, 77]
  Compare 27 and 57
  No swap needed
  Compare 57 and 28
  Swap 57 and 28
  List after swap: [-61, -34, -53, 20, -65, 27, 28, 57, 74, 77]

Pass 4:
  Compare -61 and -34
  No swap needed
  Compare -34 and -53
  Swap -34 and -53
  List after swap: [-61, -53, -34, 20, -65, 27, 28, 57, 74, 77]
  Compare -34 and 20
  No swap needed
  Compare 20 and -65
  Swap 20 and -65
  List after swap: [-61, -53, -34, -65, 20, 27, 28, 57, 74, 77]
  Compare 20 and 27
  No swap needed
  Compare 27 and 28
  No swap needed

Pass 5:
  Compare -61 and -53
  No swap needed
  Compare -53 and -34
  No swap needed
  Compare -34 and -65
  Swap -34 and -65
  List after swap: [-61, -53, -65, -34, 20, 27, 28, 57, 74, 77]
  Compare -34 and 20
  No swap needed
  Compare 20 and 27
  No swap needed

Pass 6:
  Compare -61 and -53
  No swap needed
  Compare -53 and -65
  Swap -53 and -65
  List after swap: [-61, -65, -53, -34, 20, 27, 28, 57, 74, 77]
  Compare -53 and -34
  No swap needed
  Compare -34 and 20
  No swap needed

Pass 7:
  Compare -61 and -65
  Swap -61 and -65
  List after swap: [-65, -61, -53, -34, 20, 27, 28, 57, 74, 77]
  Compare -61 and -53
  No swap needed
  Compare -53 and -34
  No swap needed

Pass 8:
  Compare -65 and -61
  No swap needed
  Compare -61 and -53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -61, -53, -34, 20, 27, 28, 57, 74, 77]
</think>

<response>-65, -61, -53, -34, 20, 27, 28, 57, 74, 77</response>


input: Sort these integers -77, -72, 80, 64, -84 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-77, -72, 80, 64, -84]

Pass 1:
  Compare -77 and -72
  No swap needed
  Compare -72 and 80
  No swap needed
  Compare 80 and 64
  Swap 80 and 64
  List after swap: [-77, -72, 64, 80, -84]
  Compare 80 and -84
  Swap 80 and -84
  List after swap: [-77, -72, 64, -84, 80]

Pass 2:
  Compare -77 and -72
  No swap needed
  Compare -72 and 64
  No swap needed
  Compare 64 and -84
  Swap 64 and -84
  List after swap: [-77, -72, -84, 64, 80]

Pass 3:
  Compare -77 and -72
  No swap needed
  Compare -72 and -84
  Swap -72 and -84
  List after swap: [-77, -84, -72, 64, 80]

Pass 4:
  Compare -77 and -84
  Swap -77 and -84
  List after swap: [-84, -77, -72, 64, 80]

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

Final sorted list: [-84, -77, -72, 64, 80]
</think>

<response>-84, -77, -72, 64, 80</response>


input: Execute bubble sort to sort -68, -22, -76, 7, 32, -41 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-68, -22, -76, 7, 32, -41]

Pass 1:
  Compare -68 and -22
  No swap needed
  Compare -22 and -76
  Swap -22 and -76
  List after swap: [-68, -76, -22, 7, 32, -41]
  Compare -22 and 7
  No swap needed
  Compare 7 and 32
  No swap needed
  Compare 32 and -41
  Swap 32 and -41
  List after swap: [-68, -76, -22, 7, -41, 32]

Pass 2:
  Compare -68 and -76
  Swap -68 and -76
  List after swap: [-76, -68, -22, 7, -41, 32]
  Compare -68 and -22
  No swap needed
  Compare -22 and 7
  No swap needed
  Compare 7 and -41
  Swap 7 and -41
  List after swap: [-76, -68, -22, -41, 7, 32]

Pass 3:
  Compare -76 and -68
  No swap needed
  Compare -68 and -22
  No swap needed
  Compare -22 and -41
  Swap -22 and -41
  List after swap: [-76, -68, -41, -22, 7, 32]

Pass 4:
  Compare -76 and -68
  No swap needed
  Compare -68 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -68, -41, -22, 7, 32]
</think>

<response>-76, -68, -41, -22, 7, 32</response>


input: Sort these integers -97, -59, 8, -54, 4, -94, -73, -7, -45, -18 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-97, -59, 8, -54, 4, -94, -73, -7, -45, -18]

Pass 1:
  Compare -97 and -59
  No swap needed
  Compare -59 and 8
  No swap needed
  Compare 8 and -54
  Swap 8 and -54
  List after swap: [-97, -59, -54, 8, 4, -94, -73, -7, -45, -18]
  Compare 8 and 4
  Swap 8 and 4
  List after swap: [-97, -59, -54, 4, 8, -94, -73, -7, -45, -18]
  Compare 8 and -94
  Swap 8 and -94
  List after swap: [-97, -59, -54, 4, -94, 8, -73, -7, -45, -18]
  Compare 8 and -73
  Swap 8 and -73
  List after swap: [-97, -59, -54, 4, -94, -73, 8, -7, -45, -18]
  Compare 8 and -7
  Swap 8 and -7
  List after swap: [-97, -59, -54, 4, -94, -73, -7, 8, -45, -18]
  Compare 8 and -45
  Swap 8 and -45
  List after swap: [-97, -59, -54, 4, -94, -73, -7, -45, 8, -18]
  Compare 8 and -18
  Swap 8 and -18
  List after swap: [-97, -59, -54, 4, -94, -73, -7, -45, -18, 8]

Pass 2:
  Compare -97 and -59
  No swap needed
  Compare -59 and -54
  No swap needed
  Compare -54 and 4
  No swap needed
  Compare 4 and -94
  Swap 4 and -94
  List after swap: [-97, -59, -54, -94, 4, -73, -7, -45, -18, 8]
  Compare 4 and -73
  Swap 4 and -73
  List after swap: [-97, -59, -54, -94, -73, 4, -7, -45, -18, 8]
  Compare 4 and -7
  Swap 4 and -7
  List after swap: [-97, -59, -54, -94, -73, -7, 4, -45, -18, 8]
  Compare 4 and -45
  Swap 4 and -45
  List after swap: [-97, -59, -54, -94, -73, -7, -45, 4, -18, 8]
  Compare 4 and -18
  Swap 4 and -18
  List after swap: [-97, -59, -54, -94, -73, -7, -45, -18, 4, 8]

Pass 3:
  Compare -97 and -59
  No swap needed
  Compare -59 and -54
  No swap needed
  Compare -54 and -94
  Swap -54 and -94
  List after swap: [-97, -59, -94, -54, -73, -7, -45, -18, 4, 8]
  Compare -54 and -73
  Swap -54 and -73
  List after swap: [-97, -59, -94, -73, -54, -7, -45, -18, 4, 8]
  Compare -54 and -7
  No swap needed
  Compare -7 and -45
  Swap -7 and -45
  List after swap: [-97, -59, -94, -73, -54, -45, -7, -18, 4, 8]
  Compare -7 and -18
  Swap -7 and -18
  List after swap: [-97, -59, -94, -73, -54, -45, -18, -7, 4, 8]

Pass 4:
  Compare -97 and -59
  No swap needed
  Compare -59 and -94
  Swap -59 and -94
  List after swap: [-97, -94, -59, -73, -54, -45, -18, -7, 4, 8]
  Compare -59 and -73
  Swap -59 and -73
  List after swap: [-97, -94, -73, -59, -54, -45, -18, -7, 4, 8]
  Compare -59 and -54
  No swap needed
  Compare -54 and -45
  No swap needed
  Compare -45 and -18
  No swap needed

Pass 5:
  Compare -97 and -94
  No swap needed
  Compare -94 and -73
  No swap needed
  Compare -73 and -59
  No swap needed
  Compare -59 and -54
  No swap needed
  Compare -54 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -94, -73, -59, -54, -45, -18, -7, 4, 8]
</think>

<response>-97, -94, -73, -59, -54, -45, -18, -7, 4, 8</response>


input: Arrange the numbers 55, 70 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [55, 70]

Pass 1:
  Compare 55 and 70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [55, 70]
</think>

<response>55, 70</response>


input: Sort the list 71, -22, -84, 62, 47, 55, -88, -73 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [71, -22, -84, 62, 47, 55, -88, -73]

Pass 1:
  Compare 71 and -22
  Swap 71 and -22
  List after swap: [-22, 71, -84, 62, 47, 55, -88, -73]
  Compare 71 and -84
  Swap 71 and -84
  List after swap: [-22, -84, 71, 62, 47, 55, -88, -73]
  Compare 71 and 62
  Swap 71 and 62
  List after swap: [-22, -84, 62, 71, 47, 55, -88, -73]
  Compare 71 and 47
  Swap 71 and 47
  List after swap: [-22, -84, 62, 47, 71, 55, -88, -73]
  Compare 71 and 55
  Swap 71 and 55
  List after swap: [-22, -84, 62, 47, 55, 71, -88, -73]
  Compare 71 and -88
  Swap 71 and -88
  List after swap: [-22, -84, 62, 47, 55, -88, 71, -73]
  Compare 71 and -73
  Swap 71 and -73
  List after swap: [-22, -84, 62, 47, 55, -88, -73, 71]

Pass 2:
  Compare -22 and -84
  Swap -22 and -84
  List after swap: [-84, -22, 62, 47, 55, -88, -73, 71]
  Compare -22 and 62
  No swap needed
  Compare 62 and 47
  Swap 62 and 47
  List after swap: [-84, -22, 47, 62, 55, -88, -73, 71]
  Compare 62 and 55
  Swap 62 and 55
  List after swap: [-84, -22, 47, 55, 62, -88, -73, 71]
  Compare 62 and -88
  Swap 62 and -88
  List after swap: [-84, -22, 47, 55, -88, 62, -73, 71]
  Compare 62 and -73
  Swap 62 and -73
  List after swap: [-84, -22, 47, 55, -88, -73, 62, 71]

Pass 3:
  Compare -84 and -22
  No swap needed
  Compare -22 and 47
  No swap needed
  Compare 47 and 55
  No swap needed
  Compare 55 and -88
  Swap 55 and -88
  List after swap: [-84, -22, 47, -88, 55, -73, 62, 71]
  Compare 55 and -73
  Swap 55 and -73
  List after swap: [-84, -22, 47, -88, -73, 55, 62, 71]

Pass 4:
  Compare -84 and -22
  No swap needed
  Compare -22 and 47
  No swap needed
  Compare 47 and -88
  Swap 47 and -88
  List after swap: [-84, -22, -88, 47, -73, 55, 62, 71]
  Compare 47 and -73
  Swap 47 and -73
  List after swap: [-84, -22, -88, -73, 47, 55, 62, 71]

Pass 5:
  Compare -84 and -22
  No swap needed
  Compare -22 and -88
  Swap -22 and -88
  List after swap: [-84, -88, -22, -73, 47, 55, 62, 71]
  Compare -22 and -73
  Swap -22 and -73
  List after swap: [-84, -88, -73, -22, 47, 55, 62, 71]

Pass 6:
  Compare -84 and -88
  Swap -84 and -88
  List after swap: [-88, -84, -73, -22, 47, 55, 62, 71]
  Compare -84 and -73
  No swap needed

Pass 7:
  Compare -88 and -84
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -84, -73, -22, 47, 55, 62, 71]
</think>

<response>-88, -84, -73, -22, 47, 55, 62, 71</response>


input: Arrange the numbers 87, -79, 28, 58, -62, -3, -46, 63, 56 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [87, -79, 28, 58, -62, -3, -46, 63, 56]

Pass 1:
  Compare 87 and -79
  Swap 87 and -79
  List after swap: [-79, 87, 28, 58, -62, -3, -46, 63, 56]
  Compare 87 and 28
  Swap 87 and 28
  List after swap: [-79, 28, 87, 58, -62, -3, -46, 63, 56]
  Compare 87 and 58
  Swap 87 and 58
  List after swap: [-79, 28, 58, 87, -62, -3, -46, 63, 56]
  Compare 87 and -62
  Swap 87 and -62
  List after swap: [-79, 28, 58, -62, 87, -3, -46, 63, 56]
  Compare 87 and -3
  Swap 87 and -3
  List after swap: [-79, 28, 58, -62, -3, 87, -46, 63, 56]
  Compare 87 and -46
  Swap 87 and -46
  List after swap: [-79, 28, 58, -62, -3, -46, 87, 63, 56]
  Compare 87 and 63
  Swap 87 and 63
  List after swap: [-79, 28, 58, -62, -3, -46, 63, 87, 56]
  Compare 87 and 56
  Swap 87 and 56
  List after swap: [-79, 28, 58, -62, -3, -46, 63, 56, 87]

Pass 2:
  Compare -79 and 28
  No swap needed
  Compare 28 and 58
  No swap needed
  Compare 58 and -62
  Swap 58 and -62
  List after swap: [-79, 28, -62, 58, -3, -46, 63, 56, 87]
  Compare 58 and -3
  Swap 58 and -3
  List after swap: [-79, 28, -62, -3, 58, -46, 63, 56, 87]
  Compare 58 and -46
  Swap 58 and -46
  List after swap: [-79, 28, -62, -3, -46, 58, 63, 56, 87]
  Compare 58 and 63
  No swap needed
  Compare 63 and 56
  Swap 63 and 56
  List after swap: [-79, 28, -62, -3, -46, 58, 56, 63, 87]

Pass 3:
  Compare -79 and 28
  No swap needed
  Compare 28 and -62
  Swap 28 and -62
  List after swap: [-79, -62, 28, -3, -46, 58, 56, 63, 87]
  Compare 28 and -3
  Swap 28 and -3
  List after swap: [-79, -62, -3, 28, -46, 58, 56, 63, 87]
  Compare 28 and -46
  Swap 28 and -46
  List after swap: [-79, -62, -3, -46, 28, 58, 56, 63, 87]
  Compare 28 and 58
  No swap needed
  Compare 58 and 56
  Swap 58 and 56
  List after swap: [-79, -62, -3, -46, 28, 56, 58, 63, 87]

Pass 4:
  Compare -79 and -62
  No swap needed
  Compare -62 and -3
  No swap needed
  Compare -3 and -46
  Swap -3 and -46
  List after swap: [-79, -62, -46, -3, 28, 56, 58, 63, 87]
  Compare -3 and 28
  No swap needed
  Compare 28 and 56
  No swap needed

Pass 5:
  Compare -79 and -62
  No swap needed
  Compare -62 and -46
  No swap needed
  Compare -46 and -3
  No swap needed
  Compare -3 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -62, -46, -3, 28, 56, 58, 63, 87]
</think>

<response>-79, -62, -46, -3, 28, 56, 58, 63, 87</response>


input: Carry out the bubble sort algorithm on -70, -62, -2, 25, -56, -76, 1 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-70, -62, -2, 25, -56, -76, 1]

Pass 1:
  Compare -70 and -62
  No swap needed
  Compare -62 and -2
  No swap needed
  Compare -2 and 25
  No swap needed
  Compare 25 and -56
  Swap 25 and -56
  List after swap: [-70, -62, -2, -56, 25, -76, 1]
  Compare 25 and -76
  Swap 25 and -76
  List after swap: [-70, -62, -2, -56, -76, 25, 1]
  Compare 25 and 1
  Swap 25 and 1
  List after swap: [-70, -62, -2, -56, -76, 1, 25]

Pass 2:
  Compare -70 and -62
  No swap needed
  Compare -62 and -2
  No swap needed
  Compare -2 and -56
  Swap -2 and -56
  List after swap: [-70, -62, -56, -2, -76, 1, 25]
  Compare -2 and -76
  Swap -2 and -76
  List after swap: [-70, -62, -56, -76, -2, 1, 25]
  Compare -2 and 1
  No swap needed

Pass 3:
  Compare -70 and -62
  No swap needed
  Compare -62 and -56
  No swap needed
  Compare -56 and -76
  Swap -56 and -76
  List after swap: [-70, -62, -76, -56, -2, 1, 25]
  Compare -56 and -2
  No swap needed

Pass 4:
  Compare -70 and -62
  No swap needed
  Compare -62 and -76
  Swap -62 and -76
  List after swap: [-70, -76, -62, -56, -2, 1, 25]
  Compare -62 and -56
  No swap needed

Pass 5:
  Compare -70 and -76
  Swap -70 and -76
  List after swap: [-76, -70, -62, -56, -2, 1, 25]
  Compare -70 and -62
  No swap needed

Pass 6:
  Compare -76 and -70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -70, -62, -56, -2, 1, 25]
</think>

<response>-76, -70, -62, -56, -2, 1, 25</response>


input: Execute bubble sort to sort -7, 28, 64, -46, -11, -6 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-7, 28, 64, -46, -11, -6]

Pass 1:
  Compare -7 and 28
  No swap needed
  Compare 28 and 64
  No swap needed
  Compare 64 and -46
  Swap 64 and -46
  List after swap: [-7, 28, -46, 64, -11, -6]
  Compare 64 and -11
  Swap 64 and -11
  List after swap: [-7, 28, -46, -11, 64, -6]
  Compare 64 and -6
  Swap 64 and -6
  List after swap: [-7, 28, -46, -11, -6, 64]

Pass 2:
  Compare -7 and 28
  No swap needed
  Compare 28 and -46
  Swap 28 and -46
  List after swap: [-7, -46, 28, -11, -6, 64]
  Compare 28 and -11
  Swap 28 and -11
  List after swap: [-7, -46, -11, 28, -6, 64]
  Compare 28 and -6
  Swap 28 and -6
  List after swap: [-7, -46, -11, -6, 28, 64]

Pass 3:
  Compare -7 and -46
  Swap -7 and -46
  List after swap: [-46, -7, -11, -6, 28, 64]
  Compare -7 and -11
  Swap -7 and -11
  List after swap: [-46, -11, -7, -6, 28, 64]
  Compare -7 and -6
  No swap needed

Pass 4:
  Compare -46 and -11
  No swap needed
  Compare -11 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-46, -11, -7, -6, 28, 64]
</think>

<response>-46, -11, -7, -6, 28, 64</response>


input: Carry out the bubble sort algorithm on -70, -67, 15, 37, 1, 56, 71, 16, 21, -45 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-70, -67, 15, 37, 1, 56, 71, 16, 21, -45]

Pass 1:
  Compare -70 and -67
  No swap needed
  Compare -67 and 15
  No swap needed
  Compare 15 and 37
  No swap needed
  Compare 37 and 1
  Swap 37 and 1
  List after swap: [-70, -67, 15, 1, 37, 56, 71, 16, 21, -45]
  Compare 37 and 56
  No swap needed
  Compare 56 and 71
  No swap needed
  Compare 71 and 16
  Swap 71 and 16
  List after swap: [-70, -67, 15, 1, 37, 56, 16, 71, 21, -45]
  Compare 71 and 21
  Swap 71 and 21
  List after swap: [-70, -67, 15, 1, 37, 56, 16, 21, 71, -45]
  Compare 71 and -45
  Swap 71 and -45
  List after swap: [-70, -67, 15, 1, 37, 56, 16, 21, -45, 71]

Pass 2:
  Compare -70 and -67
  No swap needed
  Compare -67 and 15
  No swap needed
  Compare 15 and 1
  Swap 15 and 1
  List after swap: [-70, -67, 1, 15, 37, 56, 16, 21, -45, 71]
  Compare 15 and 37
  No swap needed
  Compare 37 and 56
  No swap needed
  Compare 56 and 16
  Swap 56 and 16
  List after swap: [-70, -67, 1, 15, 37, 16, 56, 21, -45, 71]
  Compare 56 and 21
  Swap 56 and 21
  List after swap: [-70, -67, 1, 15, 37, 16, 21, 56, -45, 71]
  Compare 56 and -45
  Swap 56 and -45
  List after swap: [-70, -67, 1, 15, 37, 16, 21, -45, 56, 71]

Pass 3:
  Compare -70 and -67
  No swap needed
  Compare -67 and 1
  No swap needed
  Compare 1 and 15
  No swap needed
  Compare 15 and 37
  No swap needed
  Compare 37 and 16
  Swap 37 and 16
  List after swap: [-70, -67, 1, 15, 16, 37, 21, -45, 56, 71]
  Compare 37 and 21
  Swap 37 and 21
  List after swap: [-70, -67, 1, 15, 16, 21, 37, -45, 56, 71]
  Compare 37 and -45
  Swap 37 and -45
  List after swap: [-70, -67, 1, 15, 16, 21, -45, 37, 56, 71]

Pass 4:
  Compare -70 and -67
  No swap needed
  Compare -67 and 1
  No swap needed
  Compare 1 and 15
  No swap needed
  Compare 15 and 16
  No swap needed
  Compare 16 and 21
  No swap needed
  Compare 21 and -45
  Swap 21 and -45
  List after swap: [-70, -67, 1, 15, 16, -45, 21, 37, 56, 71]

Pass 5:
  Compare -70 and -67
  No swap needed
  Compare -67 and 1
  No swap needed
  Compare 1 and 15
  No swap needed
  Compare 15 and 16
  No swap needed
  Compare 16 and -45
  Swap 16 and -45
  List after swap: [-70, -67, 1, 15, -45, 16, 21, 37, 56, 71]

Pass 6:
  Compare -70 and -67
  No swap needed
  Compare -67 and 1
  No swap needed
  Compare 1 and 15
  No swap needed
  Compare 15 and -45
  Swap 15 and -45
  List after swap: [-70, -67, 1, -45, 15, 16, 21, 37, 56, 71]

Pass 7:
  Compare -70 and -67
  No swap needed
  Compare -67 and 1
  No swap needed
  Compare 1 and -45
  Swap 1 and -45
  List after swap: [-70, -67, -45, 1, 15, 16, 21, 37, 56, 71]

Pass 8:
  Compare -70 and -67
  No swap needed
  Compare -67 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -67, -45, 1, 15, 16, 21, 37, 56, 71]
</think>

<response>-70, -67, -45, 1, 15, 16, 21, 37, 56, 71</response>


input: Arrange the numbers 58, -55, -85, 34, 68, -93, 10, 91, -20 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [58, -55, -85, 34, 68, -93, 10, 91, -20]

Pass 1:
  Compare 58 and -55
  Swap 58 and -55
  List after swap: [-55, 58, -85, 34, 68, -93, 10, 91, -20]
  Compare 58 and -85
  Swap 58 and -85
  List after swap: [-55, -85, 58, 34, 68, -93, 10, 91, -20]
  Compare 58 and 34
  Swap 58 and 34
  List after swap: [-55, -85, 34, 58, 68, -93, 10, 91, -20]
  Compare 58 and 68
  No swap needed
  Compare 68 and -93
  Swap 68 and -93
  List after swap: [-55, -85, 34, 58, -93, 68, 10, 91, -20]
  Compare 68 and 10
  Swap 68 and 10
  List after swap: [-55, -85, 34, 58, -93, 10, 68, 91, -20]
  Compare 68 and 91
  No swap needed
  Compare 91 and -20
  Swap 91 and -20
  List after swap: [-55, -85, 34, 58, -93, 10, 68, -20, 91]

Pass 2:
  Compare -55 and -85
  Swap -55 and -85
  List after swap: [-85, -55, 34, 58, -93, 10, 68, -20, 91]
  Compare -55 and 34
  No swap needed
  Compare 34 and 58
  No swap needed
  Compare 58 and -93
  Swap 58 and -93
  List after swap: [-85, -55, 34, -93, 58, 10, 68, -20, 91]
  Compare 58 and 10
  Swap 58 and 10
  List after swap: [-85, -55, 34, -93, 10, 58, 68, -20, 91]
  Compare 58 and 68
  No swap needed
  Compare 68 and -20
  Swap 68 and -20
  List after swap: [-85, -55, 34, -93, 10, 58, -20, 68, 91]

Pass 3:
  Compare -85 and -55
  No swap needed
  Compare -55 and 34
  No swap needed
  Compare 34 and -93
  Swap 34 and -93
  List after swap: [-85, -55, -93, 34, 10, 58, -20, 68, 91]
  Compare 34 and 10
  Swap 34 and 10
  List after swap: [-85, -55, -93, 10, 34, 58, -20, 68, 91]
  Compare 34 and 58
  No swap needed
  Compare 58 and -20
  Swap 58 and -20
  List after swap: [-85, -55, -93, 10, 34, -20, 58, 68, 91]

Pass 4:
  Compare -85 and -55
  No swap needed
  Compare -55 and -93
  Swap -55 and -93
  List after swap: [-85, -93, -55, 10, 34, -20, 58, 68, 91]
  Compare -55 and 10
  No swap needed
  Compare 10 and 34
  No swap needed
  Compare 34 and -20
  Swap 34 and -20
  List after swap: [-85, -93, -55, 10, -20, 34, 58, 68, 91]

Pass 5:
  Compare -85 and -93
  Swap -85 and -93
  List after swap: [-93, -85, -55, 10, -20, 34, 58, 68, 91]
  Compare -85 and -55
  No swap needed
  Compare -55 and 10
  No swap needed
  Compare 10 and -20
  Swap 10 and -20
  List after swap: [-93, -85, -55, -20, 10, 34, 58, 68, 91]

Pass 6:
  Compare -93 and -85
  No swap needed
  Compare -85 and -55
  No swap needed
  Compare -55 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -85, -55, -20, 10, 34, 58, 68, 91]
</think>

<response>-93, -85, -55, -20, 10, 34, 58, 68, 91</response>


input: Demonstrate how bubble sort orders the integers -74, -7, 76, -50, 85, -31 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-74, -7, 76, -50, 85, -31]

Pass 1:
  Compare -74 and -7
  No swap needed
  Compare -7 and 76
  No swap needed
  Compare 76 and -50
  Swap 76 and -50
  List after swap: [-74, -7, -50, 76, 85, -31]
  Compare 76 and 85
  No swap needed
  Compare 85 and -31
  Swap 85 and -31
  List after swap: [-74, -7, -50, 76, -31, 85]

Pass 2:
  Compare -74 and -7
  No swap needed
  Compare -7 and -50
  Swap -7 and -50
  List after swap: [-74, -50, -7, 76, -31, 85]
  Compare -7 and 76
  No swap needed
  Compare 76 and -31
  Swap 76 and -31
  List after swap: [-74, -50, -7, -31, 76, 85]

Pass 3:
  Compare -74 and -50
  No swap needed
  Compare -50 and -7
  No swap needed
  Compare -7 and -31
  Swap -7 and -31
  List after swap: [-74, -50, -31, -7, 76, 85]

Pass 4:
  Compare -74 and -50
  No swap needed
  Compare -50 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -50, -31, -7, 76, 85]
</think>

<response>-74, -50, -31, -7, 76, 85</response>


input: Use the bubble sort technique to reorder -39, 69 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-39, 69]

Pass 1:
  Compare -39 and 69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-39, 69]
</think>

<response>-39, 69</response>


input: Arrange the numbers 10, 2, 37, -26, -1, 24, 82, -25, 72 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [10, 2, 37, -26, -1, 24, 82, -25, 72]

Pass 1:
  Compare 10 and 2
  Swap 10 and 2
  List after swap: [2, 10, 37, -26, -1, 24, 82, -25, 72]
  Compare 10 and 37
  No swap needed
  Compare 37 and -26
  Swap 37 and -26
  List after swap: [2, 10, -26, 37, -1, 24, 82, -25, 72]
  Compare 37 and -1
  Swap 37 and -1
  List after swap: [2, 10, -26, -1, 37, 24, 82, -25, 72]
  Compare 37 and 24
  Swap 37 and 24
  List after swap: [2, 10, -26, -1, 24, 37, 82, -25, 72]
  Compare 37 and 82
  No swap needed
  Compare 82 and -25
  Swap 82 and -25
  List after swap: [2, 10, -26, -1, 24, 37, -25, 82, 72]
  Compare 82 and 72
  Swap 82 and 72
  List after swap: [2, 10, -26, -1, 24, 37, -25, 72, 82]

Pass 2:
  Compare 2 and 10
  No swap needed
  Compare 10 and -26
  Swap 10 and -26
  List after swap: [2, -26, 10, -1, 24, 37, -25, 72, 82]
  Compare 10 and -1
  Swap 10 and -1
  List after swap: [2, -26, -1, 10, 24, 37, -25, 72, 82]
  Compare 10 and 24
  No swap needed
  Compare 24 and 37
  No swap needed
  Compare 37 and -25
  Swap 37 and -25
  List after swap: [2, -26, -1, 10, 24, -25, 37, 72, 82]
  Compare 37 and 72
  No swap needed

Pass 3:
  Compare 2 and -26
  Swap 2 and -26
  List after swap: [-26, 2, -1, 10, 24, -25, 37, 72, 82]
  Compare 2 and -1
  Swap 2 and -1
  List after swap: [-26, -1, 2, 10, 24, -25, 37, 72, 82]
  Compare 2 and 10
  No swap needed
  Compare 10 and 24
  No swap needed
  Compare 24 and -25
  Swap 24 and -25
  List after swap: [-26, -1, 2, 10, -25, 24, 37, 72, 82]
  Compare 24 and 37
  No swap needed

Pass 4:
  Compare -26 and -1
  No swap needed
  Compare -1 and 2
  No swap needed
  Compare 2 and 10
  No swap needed
  Compare 10 and -25
  Swap 10 and -25
  List after swap: [-26, -1, 2, -25, 10, 24, 37, 72, 82]
  Compare 10 and 24
  No swap needed

Pass 5:
  Compare -26 and -1
  No swap needed
  Compare -1 and 2
  No swap needed
  Compare 2 and -25
  Swap 2 and -25
  List after swap: [-26, -1, -25, 2, 10, 24, 37, 72, 82]
  Compare 2 and 10
  No swap needed

Pass 6:
  Compare -26 and -1
  No swap needed
  Compare -1 and -25
  Swap -1 and -25
  List after swap: [-26, -25, -1, 2, 10, 24, 37, 72, 82]
  Compare -1 and 2
  No swap needed

Pass 7:
  Compare -26 and -25
  No swap needed
  Compare -25 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-26, -25, -1, 2, 10, 24, 37, 72, 82]
</think>

<response>-26, -25, -1, 2, 10, 24, 37, 72, 82</response>


input: Demonstrate how bubble sort orders the integers 25, -76, 58, 47, -85, -14 in ascending sequence, showing all steps.

output:
<think>
Initial list: [25, -76, 58, 47, -85, -14]

Pass 1:
  Compare 25 and -76
  Swap 25 and -76
  List after swap: [-76, 25, 58, 47, -85, -14]
  Compare 25 and 58
  No swap needed
  Compare 58 and 47
  Swap 58 and 47
  List after swap: [-76, 25, 47, 58, -85, -14]
  Compare 58 and -85
  Swap 58 and -85
  List after swap: [-76, 25, 47, -85, 58, -14]
  Compare 58 and -14
  Swap 58 and -14
  List after swap: [-76, 25, 47, -85, -14, 58]

Pass 2:
  Compare -76 and 25
  No swap needed
  Compare 25 and 47
  No swap needed
  Compare 47 and -85
  Swap 47 and -85
  List after swap: [-76, 25, -85, 47, -14, 58]
  Compare 47 and -14
  Swap 47 and -14
  List after swap: [-76, 25, -85, -14, 47, 58]

Pass 3:
  Compare -76 and 25
  No swap needed
  Compare 25 and -85
  Swap 25 and -85
  List after swap: [-76, -85, 25, -14, 47, 58]
  Compare 25 and -14
  Swap 25 and -14
  List after swap: [-76, -85, -14, 25, 47, 58]

Pass 4:
  Compare -76 and -85
  Swap -76 and -85
  List after swap: [-85, -76, -14, 25, 47, 58]
  Compare -76 and -14
  No swap needed

Pass 5:
  Compare -85 and -76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -76, -14, 25, 47, 58]
</think>

<response>-85, -76, -14, 25, 47, 58</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 12, -95, 93.

output:
<think>
Initial list: [12, -95, 93]

Pass 1:
  Compare 12 and -95
  Swap 12 and -95
  List after swap: [-95, 12, 93]
  Compare 12 and 93
  No swap needed

Pass 2:
  Compare -95 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, 12, 93]
</think>

<response>-95, 12, 93</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -28, -29, -81, -37, -12, -98, 10, -64, 1.

output:
<think>
Initial list: [-28, -29, -81, -37, -12, -98, 10, -64, 1]

Pass 1:
  Compare -28 and -29
  Swap -28 and -29
  List after swap: [-29, -28, -81, -37, -12, -98, 10, -64, 1]
  Compare -28 and -81
  Swap -28 and -81
  List after swap: [-29, -81, -28, -37, -12, -98, 10, -64, 1]
  Compare -28 and -37
  Swap -28 and -37
  List after swap: [-29, -81, -37, -28, -12, -98, 10, -64, 1]
  Compare -28 and -12
  No swap needed
  Compare -12 and -98
  Swap -12 and -98
  List after swap: [-29, -81, -37, -28, -98, -12, 10, -64, 1]
  Compare -12 and 10
  No swap needed
  Compare 10 and -64
  Swap 10 and -64
  List after swap: [-29, -81, -37, -28, -98, -12, -64, 10, 1]
  Compare 10 and 1
  Swap 10 and 1
  List after swap: [-29, -81, -37, -28, -98, -12, -64, 1, 10]

Pass 2:
  Compare -29 and -81
  Swap -29 and -81
  List after swap: [-81, -29, -37, -28, -98, -12, -64, 1, 10]
  Compare -29 and -37
  Swap -29 and -37
  List after swap: [-81, -37, -29, -28, -98, -12, -64, 1, 10]
  Compare -29 and -28
  No swap needed
  Compare -28 and -98
  Swap -28 and -98
  List after swap: [-81, -37, -29, -98, -28, -12, -64, 1, 10]
  Compare -28 and -12
  No swap needed
  Compare -12 and -64
  Swap -12 and -64
  List after swap: [-81, -37, -29, -98, -28, -64, -12, 1, 10]
  Compare -12 and 1
  No swap needed

Pass 3:
  Compare -81 and -37
  No swap needed
  Compare -37 and -29
  No swap needed
  Compare -29 and -98
  Swap -29 and -98
  List after swap: [-81, -37, -98, -29, -28, -64, -12, 1, 10]
  Compare -29 and -28
  No swap needed
  Compare -28 and -64
  Swap -28 and -64
  List after swap: [-81, -37, -98, -29, -64, -28, -12, 1, 10]
  Compare -28 and -12
  No swap needed

Pass 4:
  Compare -81 and -37
  No swap needed
  Compare -37 and -98
  Swap -37 and -98
  List after swap: [-81, -98, -37, -29, -64, -28, -12, 1, 10]
  Compare -37 and -29
  No swap needed
  Compare -29 and -64
  Swap -29 and -64
  List after swap: [-81, -98, -37, -64, -29, -28, -12, 1, 10]
  Compare -29 and -28
  No swap needed

Pass 5:
  Compare -81 and -98
  Swap -81 and -98
  List after swap: [-98, -81, -37, -64, -29, -28, -12, 1, 10]
  Compare -81 and -37
  No swap needed
  Compare -37 and -64
  Swap -37 and -64
  List after swap: [-98, -81, -64, -37, -29, -28, -12, 1, 10]
  Compare -37 and -29
  No swap needed

Pass 6:
  Compare -98 and -81
  No swap needed
  Compare -81 and -64
  No swap needed
  Compare -64 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -81, -64, -37, -29, -28, -12, 1, 10]
</think>

<response>-98, -81, -64, -37, -29, -28, -12, 1, 10</response>


input: Use the bubble sort technique to reorder -95, 30, 11, -40, 57, 14, -44, -33 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-95, 30, 11, -40, 57, 14, -44, -33]

Pass 1:
  Compare -95 and 30
  No swap needed
  Compare 30 and 11
  Swap 30 and 11
  List after swap: [-95, 11, 30, -40, 57, 14, -44, -33]
  Compare 30 and -40
  Swap 30 and -40
  List after swap: [-95, 11, -40, 30, 57, 14, -44, -33]
  Compare 30 and 57
  No swap needed
  Compare 57 and 14
  Swap 57 and 14
  List after swap: [-95, 11, -40, 30, 14, 57, -44, -33]
  Compare 57 and -44
  Swap 57 and -44
  List after swap: [-95, 11, -40, 30, 14, -44, 57, -33]
  Compare 57 and -33
  Swap 57 and -33
  List after swap: [-95, 11, -40, 30, 14, -44, -33, 57]

Pass 2:
  Compare -95 and 11
  No swap needed
  Compare 11 and -40
  Swap 11 and -40
  List after swap: [-95, -40, 11, 30, 14, -44, -33, 57]
  Compare 11 and 30
  No swap needed
  Compare 30 and 14
  Swap 30 and 14
  List after swap: [-95, -40, 11, 14, 30, -44, -33, 57]
  Compare 30 and -44
  Swap 30 and -44
  List after swap: [-95, -40, 11, 14, -44, 30, -33, 57]
  Compare 30 and -33
  Swap 30 and -33
  List after swap: [-95, -40, 11, 14, -44, -33, 30, 57]

Pass 3:
  Compare -95 and -40
  No swap needed
  Compare -40 and 11
  No swap needed
  Compare 11 and 14
  No swap needed
  Compare 14 and -44
  Swap 14 and -44
  List after swap: [-95, -40, 11, -44, 14, -33, 30, 57]
  Compare 14 and -33
  Swap 14 and -33
  List after swap: [-95, -40, 11, -44, -33, 14, 30, 57]

Pass 4:
  Compare -95 and -40
  No swap needed
  Compare -40 and 11
  No swap needed
  Compare 11 and -44
  Swap 11 and -44
  List after swap: [-95, -40, -44, 11, -33, 14, 30, 57]
  Compare 11 and -33
  Swap 11 and -33
  List after swap: [-95, -40, -44, -33, 11, 14, 30, 57]

Pass 5:
  Compare -95 and -40
  No swap needed
  Compare -40 and -44
  Swap -40 and -44
  List after swap: [-95, -44, -40, -33, 11, 14, 30, 57]
  Compare -40 and -33
  No swap needed

Pass 6:
  Compare -95 and -44
  No swap needed
  Compare -44 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -44, -40, -33, 11, 14, 30, 57]
</think>

<response>-95, -44, -40, -33, 11, 14, 30, 57</response>


input: Use the bubble sort technique to reorder 94, -2, 78, -68, 15 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [94, -2, 78, -68, 15]

Pass 1:
  Compare 94 and -2
  Swap 94 and -2
  List after swap: [-2, 94, 78, -68, 15]
  Compare 94 and 78
  Swap 94 and 78
  List after swap: [-2, 78, 94, -68, 15]
  Compare 94 and -68
  Swap 94 and -68
  List after swap: [-2, 78, -68, 94, 15]
  Compare 94 and 15
  Swap 94 and 15
  List after swap: [-2, 78, -68, 15, 94]

Pass 2:
  Compare -2 and 78
  No swap needed
  Compare 78 and -68
  Swap 78 and -68
  List after swap: [-2, -68, 78, 15, 94]
  Compare 78 and 15
  Swap 78 and 15
  List after swap: [-2, -68, 15, 78, 94]

Pass 3:
  Compare -2 and -68
  Swap -2 and -68
  List after swap: [-68, -2, 15, 78, 94]
  Compare -2 and 15
  No swap needed

Pass 4:
  Compare -68 and -2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -2, 15, 78, 94]
</think>

<response>-68, -2, 15, 78, 94</response>


input: Carry out the bubble sort algorithm on -8, -35, 62, -94, 94, 92, -85, -93, -41, 76 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-8, -35, 62, -94, 94, 92, -85, -93, -41, 76]

Pass 1:
  Compare -8 and -35
  Swap -8 and -35
  List after swap: [-35, -8, 62, -94, 94, 92, -85, -93, -41, 76]
  Compare -8 and 62
  No swap needed
  Compare 62 and -94
  Swap 62 and -94
  List after swap: [-35, -8, -94, 62, 94, 92, -85, -93, -41, 76]
  Compare 62 and 94
  No swap needed
  Compare 94 and 92
  Swap 94 and 92
  List after swap: [-35, -8, -94, 62, 92, 94, -85, -93, -41, 76]
  Compare 94 and -85
  Swap 94 and -85
  List after swap: [-35, -8, -94, 62, 92, -85, 94, -93, -41, 76]
  Compare 94 and -93
  Swap 94 and -93
  List after swap: [-35, -8, -94, 62, 92, -85, -93, 94, -41, 76]
  Compare 94 and -41
  Swap 94 and -41
  List after swap: [-35, -8, -94, 62, 92, -85, -93, -41, 94, 76]
  Compare 94 and 76
  Swap 94 and 76
  List after swap: [-35, -8, -94, 62, 92, -85, -93, -41, 76, 94]

Pass 2:
  Compare -35 and -8
  No swap needed
  Compare -8 and -94
  Swap -8 and -94
  List after swap: [-35, -94, -8, 62, 92, -85, -93, -41, 76, 94]
  Compare -8 and 62
  No swap needed
  Compare 62 and 92
  No swap needed
  Compare 92 and -85
  Swap 92 and -85
  List after swap: [-35, -94, -8, 62, -85, 92, -93, -41, 76, 94]
  Compare 92 and -93
  Swap 92 and -93
  List after swap: [-35, -94, -8, 62, -85, -93, 92, -41, 76, 94]
  Compare 92 and -41
  Swap 92 and -41
  List after swap: [-35, -94, -8, 62, -85, -93, -41, 92, 76, 94]
  Compare 92 and 76
  Swap 92 and 76
  List after swap: [-35, -94, -8, 62, -85, -93, -41, 76, 92, 94]

Pass 3:
  Compare -35 and -94
  Swap -35 and -94
  List after swap: [-94, -35, -8, 62, -85, -93, -41, 76, 92, 94]
  Compare -35 and -8
  No swap needed
  Compare -8 and 62
  No swap needed
  Compare 62 and -85
  Swap 62 and -85
  List after swap: [-94, -35, -8, -85, 62, -93, -41, 76, 92, 94]
  Compare 62 and -93
  Swap 62 and -93
  List after swap: [-94, -35, -8, -85, -93, 62, -41, 76, 92, 94]
  Compare 62 and -41
  Swap 62 and -41
  List after swap: [-94, -35, -8, -85, -93, -41, 62, 76, 92, 94]
  Compare 62 and 76
  No swap needed

Pass 4:
  Compare -94 and -35
  No swap needed
  Compare -35 and -8
  No swap needed
  Compare -8 and -85
  Swap -8 and -85
  List after swap: [-94, -35, -85, -8, -93, -41, 62, 76, 92, 94]
  Compare -8 and -93
  Swap -8 and -93
  List after swap: [-94, -35, -85, -93, -8, -41, 62, 76, 92, 94]
  Compare -8 and -41
  Swap -8 and -41
  List after swap: [-94, -35, -85, -93, -41, -8, 62, 76, 92, 94]
  Compare -8 and 62
  No swap needed

Pass 5:
  Compare -94 and -35
  No swap needed
  Compare -35 and -85
  Swap -35 and -85
  List after swap: [-94, -85, -35, -93, -41, -8, 62, 76, 92, 94]
  Compare -35 and -93
  Swap -35 and -93
  List after swap: [-94, -85, -93, -35, -41, -8, 62, 76, 92, 94]
  Compare -35 and -41
  Swap -35 and -41
  List after swap: [-94, -85, -93, -41, -35, -8, 62, 76, 92, 94]
  Compare -35 and -8
  No swap needed

Pass 6:
  Compare -94 and -85
  No swap needed
  Compare -85 and -93
  Swap -85 and -93
  List after swap: [-94, -93, -85, -41, -35, -8, 62, 76, 92, 94]
  Compare -85 and -41
  No swap needed
  Compare -41 and -35
  No swap needed

Pass 7:
  Compare -94 and -93
  No swap needed
  Compare -93 and -85
  No swap needed
  Compare -85 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -93, -85, -41, -35, -8, 62, 76, 92, 94]
</think>

<response>-94, -93, -85, -41, -35, -8, 62, 76, 92, 94</response>


input: Implement bubble sort on -3, -58, 45, 33, -81, -54, 75, -17, -64 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-3, -58, 45, 33, -81, -54, 75, -17, -64]

Pass 1:
  Compare -3 and -58
  Swap -3 and -58
  List after swap: [-58, -3, 45, 33, -81, -54, 75, -17, -64]
  Compare -3 and 45
  No swap needed
  Compare 45 and 33
  Swap 45 and 33
  List after swap: [-58, -3, 33, 45, -81, -54, 75, -17, -64]
  Compare 45 and -81
  Swap 45 and -81
  List after swap: [-58, -3, 33, -81, 45, -54, 75, -17, -64]
  Compare 45 and -54
  Swap 45 and -54
  List after swap: [-58, -3, 33, -81, -54, 45, 75, -17, -64]
  Compare 45 and 75
  No swap needed
  Compare 75 and -17
  Swap 75 and -17
  List after swap: [-58, -3, 33, -81, -54, 45, -17, 75, -64]
  Compare 75 and -64
  Swap 75 and -64
  List after swap: [-58, -3, 33, -81, -54, 45, -17, -64, 75]

Pass 2:
  Compare -58 and -3
  No swap needed
  Compare -3 and 33
  No swap needed
  Compare 33 and -81
  Swap 33 and -81
  List after swap: [-58, -3, -81, 33, -54, 45, -17, -64, 75]
  Compare 33 and -54
  Swap 33 and -54
  List after swap: [-58, -3, -81, -54, 33, 45, -17, -64, 75]
  Compare 33 and 45
  No swap needed
  Compare 45 and -17
  Swap 45 and -17
  List after swap: [-58, -3, -81, -54, 33, -17, 45, -64, 75]
  Compare 45 and -64
  Swap 45 and -64
  List after swap: [-58, -3, -81, -54, 33, -17, -64, 45, 75]

Pass 3:
  Compare -58 and -3
  No swap needed
  Compare -3 and -81
  Swap -3 and -81
  List after swap: [-58, -81, -3, -54, 33, -17, -64, 45, 75]
  Compare -3 and -54
  Swap -3 and -54
  List after swap: [-58, -81, -54, -3, 33, -17, -64, 45, 75]
  Compare -3 and 33
  No swap needed
  Compare 33 and -17
  Swap 33 and -17
  List after swap: [-58, -81, -54, -3, -17, 33, -64, 45, 75]
  Compare 33 and -64
  Swap 33 and -64
  List after swap: [-58, -81, -54, -3, -17, -64, 33, 45, 75]

Pass 4:
  Compare -58 and -81
  Swap -58 and -81
  List after swap: [-81, -58, -54, -3, -17, -64, 33, 45, 75]
  Compare -58 and -54
  No swap needed
  Compare -54 and -3
  No swap needed
  Compare -3 and -17
  Swap -3 and -17
  List after swap: [-81, -58, -54, -17, -3, -64, 33, 45, 75]
  Compare -3 and -64
  Swap -3 and -64
  List after swap: [-81, -58, -54, -17, -64, -3, 33, 45, 75]

Pass 5:
  Compare -81 and -58
  No swap needed
  Compare -58 and -54
  No swap needed
  Compare -54 and -17
  No swap needed
  Compare -17 and -64
  Swap -17 and -64
  List after swap: [-81, -58, -54, -64, -17, -3, 33, 45, 75]

Pass 6:
  Compare -81 and -58
  No swap needed
  Compare -58 and -54
  No swap needed
  Compare -54 and -64
  Swap -54 and -64
  List after swap: [-81, -58, -64, -54, -17, -3, 33, 45, 75]

Pass 7:
  Compare -81 and -58
  No swap needed
  Compare -58 and -64
  Swap -58 and -64
  List after swap: [-81, -64, -58, -54, -17, -3, 33, 45, 75]

Pass 8:
  Compare -81 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -64, -58, -54, -17, -3, 33, 45, 75]
</think>

<response>-81, -64, -58, -54, -17, -3, 33, 45, 75</response>


input: Use the bubble sort technique to reorder -39, -47, 83, 77 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-39, -47, 83, 77]

Pass 1:
  Compare -39 and -47
  Swap -39 and -47
  List after swap: [-47, -39, 83, 77]
  Compare -39 and 83
  No swap needed
  Compare 83 and 77
  Swap 83 and 77
  List after swap: [-47, -39, 77, 83]

Pass 2:
  Compare -47 and -39
  No swap needed
  Compare -39 and 77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-47, -39, 77, 83]
</think>

<response>-47, -39, 77, 83</response>


input: Carry out the bubble sort algorithm on -33, 63, -17 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-33, 63, -17]

Pass 1:
  Compare -33 and 63
  No swap needed
  Compare 63 and -17
  Swap 63 and -17
  List after swap: [-33, -17, 63]

Pass 2:
  Compare -33 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-33, -17, 63]
</think>

<response>-33, -17, 63</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -16, -26, 28, 48.

output:
<think>
Initial list: [-16, -26, 28, 48]

Pass 1:
  Compare -16 and -26
  Swap -16 and -26
  List after swap: [-26, -16, 28, 48]
  Compare -16 and 28
  No swap needed
  Compare 28 and 48
  No swap needed

Pass 2:
  Compare -26 and -16
  No swap needed
  Compare -16 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-26, -16, 28, 48]
</think>

<response>-26, -16, 28, 48</response>


input: Use the bubble sort technique to reorder 32, 84, -27, 55, 60, -50 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [32, 84, -27, 55, 60, -50]

Pass 1:
  Compare 32 and 84
  No swap needed
  Compare 84 and -27
  Swap 84 and -27
  List after swap: [32, -27, 84, 55, 60, -50]
  Compare 84 and 55
  Swap 84 and 55
  List after swap: [32, -27, 55, 84, 60, -50]
  Compare 84 and 60
  Swap 84 and 60
  List after swap: [32, -27, 55, 60, 84, -50]
  Compare 84 and -50
  Swap 84 and -50
  List after swap: [32, -27, 55, 60, -50, 84]

Pass 2:
  Compare 32 and -27
  Swap 32 and -27
  List after swap: [-27, 32, 55, 60, -50, 84]
  Compare 32 and 55
  No swap needed
  Compare 55 and 60
  No swap needed
  Compare 60 and -50
  Swap 60 and -50
  List after swap: [-27, 32, 55, -50, 60, 84]

Pass 3:
  Compare -27 and 32
  No swap needed
  Compare 32 and 55
  No swap needed
  Compare 55 and -50
  Swap 55 and -50
  List after swap: [-27, 32, -50, 55, 60, 84]

Pass 4:
  Compare -27 and 32
  No swap needed
  Compare 32 and -50
  Swap 32 and -50
  List after swap: [-27, -50, 32, 55, 60, 84]

Pass 5:
  Compare -27 and -50
  Swap -27 and -50
  List after swap: [-50, -27, 32, 55, 60, 84]

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

Final sorted list: [-50, -27, 32, 55, 60, 84]
</think>

<response>-50, -27, 32, 55, 60, 84</response>


input: Execute bubble sort to sort -71, -53, -64, -86 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-71, -53, -64, -86]

Pass 1:
  Compare -71 and -53
  No swap needed
  Compare -53 and -64
  Swap -53 and -64
  List after swap: [-71, -64, -53, -86]
  Compare -53 and -86
  Swap -53 and -86
  List after swap: [-71, -64, -86, -53]

Pass 2:
  Compare -71 and -64
  No swap needed
  Compare -64 and -86
  Swap -64 and -86
  List after swap: [-71, -86, -64, -53]

Pass 3:
  Compare -71 and -86
  Swap -71 and -86
  List after swap: [-86, -71, -64, -53]

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

Final sorted list: [-86, -71, -64, -53]
</think>

<response>-86, -71, -64, -53</response>