input: Carry out the bubble sort algorithm on -11, 61, 1, 20, -17, -59, -79 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-11, 61, 1, 20, -17, -59, -79]

Pass 1:
  Compare -11 and 61
  No swap needed
  Compare 61 and 1
  Swap 61 and 1
  List after swap: [-11, 1, 61, 20, -17, -59, -79]
  Compare 61 and 20
  Swap 61 and 20
  List after swap: [-11, 1, 20, 61, -17, -59, -79]
  Compare 61 and -17
  Swap 61 and -17
  List after swap: [-11, 1, 20, -17, 61, -59, -79]
  Compare 61 and -59
  Swap 61 and -59
  List after swap: [-11, 1, 20, -17, -59, 61, -79]
  Compare 61 and -79
  Swap 61 and -79
  List after swap: [-11, 1, 20, -17, -59, -79, 61]

Pass 2:
  Compare -11 and 1
  No swap needed
  Compare 1 and 20
  No swap needed
  Compare 20 and -17
  Swap 20 and -17
  List after swap: [-11, 1, -17, 20, -59, -79, 61]
  Compare 20 and -59
  Swap 20 and -59
  List after swap: [-11, 1, -17, -59, 20, -79, 61]
  Compare 20 and -79
  Swap 20 and -79
  List after swap: [-11, 1, -17, -59, -79, 20, 61]

Pass 3:
  Compare -11 and 1
  No swap needed
  Compare 1 and -17
  Swap 1 and -17
  List after swap: [-11, -17, 1, -59, -79, 20, 61]
  Compare 1 and -59
  Swap 1 and -59
  List after swap: [-11, -17, -59, 1, -79, 20, 61]
  Compare 1 and -79
  Swap 1 and -79
  List after swap: [-11, -17, -59, -79, 1, 20, 61]

Pass 4:
  Compare -11 and -17
  Swap -11 and -17
  List after swap: [-17, -11, -59, -79, 1, 20, 61]
  Compare -11 and -59
  Swap -11 and -59
  List after swap: [-17, -59, -11, -79, 1, 20, 61]
  Compare -11 and -79
  Swap -11 and -79
  List after swap: [-17, -59, -79, -11, 1, 20, 61]

Pass 5:
  Compare -17 and -59
  Swap -17 and -59
  List after swap: [-59, -17, -79, -11, 1, 20, 61]
  Compare -17 and -79
  Swap -17 and -79
  List after swap: [-59, -79, -17, -11, 1, 20, 61]

Pass 6:
  Compare -59 and -79
  Swap -59 and -79
  List after swap: [-79, -59, -17, -11, 1, 20, 61]

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

Final sorted list: [-79, -59, -17, -11, 1, 20, 61]
</think>

<response>-79, -59, -17, -11, 1, 20, 61</response>


input: Arrange the numbers 30, -93, -98 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [30, -93, -98]

Pass 1:
  Compare 30 and -93
  Swap 30 and -93
  List after swap: [-93, 30, -98]
  Compare 30 and -98
  Swap 30 and -98
  List after swap: [-93, -98, 30]

Pass 2:
  Compare -93 and -98
  Swap -93 and -98
  List after swap: [-98, -93, 30]

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

Final sorted list: [-98, -93, 30]
</think>

<response>-98, -93, 30</response>


input: Arrange the numbers -91, -12, -70, 71, 74, 3 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-91, -12, -70, 71, 74, 3]

Pass 1:
  Compare -91 and -12
  No swap needed
  Compare -12 and -70
  Swap -12 and -70
  List after swap: [-91, -70, -12, 71, 74, 3]
  Compare -12 and 71
  No swap needed
  Compare 71 and 74
  No swap needed
  Compare 74 and 3
  Swap 74 and 3
  List after swap: [-91, -70, -12, 71, 3, 74]

Pass 2:
  Compare -91 and -70
  No swap needed
  Compare -70 and -12
  No swap needed
  Compare -12 and 71
  No swap needed
  Compare 71 and 3
  Swap 71 and 3
  List after swap: [-91, -70, -12, 3, 71, 74]

Pass 3:
  Compare -91 and -70
  No swap needed
  Compare -70 and -12
  No swap needed
  Compare -12 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -70, -12, 3, 71, 74]
</think>

<response>-91, -70, -12, 3, 71, 74</response>


input: Carry out the bubble sort algorithm on -70, -54, -2, -25 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-70, -54, -2, -25]

Pass 1:
  Compare -70 and -54
  No swap needed
  Compare -54 and -2
  No swap needed
  Compare -2 and -25
  Swap -2 and -25
  List after swap: [-70, -54, -25, -2]

Pass 2:
  Compare -70 and -54
  No swap needed
  Compare -54 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -54, -25, -2]
</think>

<response>-70, -54, -25, -2</response>


input: Sort the list -7, -11, 67 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-7, -11, 67]

Pass 1:
  Compare -7 and -11
  Swap -7 and -11
  List after swap: [-11, -7, 67]
  Compare -7 and 67
  No swap needed

Pass 2:
  Compare -11 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-11, -7, 67]
</think>

<response>-11, -7, 67</response>


input: Sort the list -47, -68, 93, 15, 76 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-47, -68, 93, 15, 76]

Pass 1:
  Compare -47 and -68
  Swap -47 and -68
  List after swap: [-68, -47, 93, 15, 76]
  Compare -47 and 93
  No swap needed
  Compare 93 and 15
  Swap 93 and 15
  List after swap: [-68, -47, 15, 93, 76]
  Compare 93 and 76
  Swap 93 and 76
  List after swap: [-68, -47, 15, 76, 93]

Pass 2:
  Compare -68 and -47
  No swap needed
  Compare -47 and 15
  No swap needed
  Compare 15 and 76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -47, 15, 76, 93]
</think>

<response>-68, -47, 15, 76, 93</response>


input: Sort these integers 83, -80, 89, -10, 97, -35, -4 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [83, -80, 89, -10, 97, -35, -4]

Pass 1:
  Compare 83 and -80
  Swap 83 and -80
  List after swap: [-80, 83, 89, -10, 97, -35, -4]
  Compare 83 and 89
  No swap needed
  Compare 89 and -10
  Swap 89 and -10
  List after swap: [-80, 83, -10, 89, 97, -35, -4]
  Compare 89 and 97
  No swap needed
  Compare 97 and -35
  Swap 97 and -35
  List after swap: [-80, 83, -10, 89, -35, 97, -4]
  Compare 97 and -4
  Swap 97 and -4
  List after swap: [-80, 83, -10, 89, -35, -4, 97]

Pass 2:
  Compare -80 and 83
  No swap needed
  Compare 83 and -10
  Swap 83 and -10
  List after swap: [-80, -10, 83, 89, -35, -4, 97]
  Compare 83 and 89
  No swap needed
  Compare 89 and -35
  Swap 89 and -35
  List after swap: [-80, -10, 83, -35, 89, -4, 97]
  Compare 89 and -4
  Swap 89 and -4
  List after swap: [-80, -10, 83, -35, -4, 89, 97]

Pass 3:
  Compare -80 and -10
  No swap needed
  Compare -10 and 83
  No swap needed
  Compare 83 and -35
  Swap 83 and -35
  List after swap: [-80, -10, -35, 83, -4, 89, 97]
  Compare 83 and -4
  Swap 83 and -4
  List after swap: [-80, -10, -35, -4, 83, 89, 97]

Pass 4:
  Compare -80 and -10
  No swap needed
  Compare -10 and -35
  Swap -10 and -35
  List after swap: [-80, -35, -10, -4, 83, 89, 97]
  Compare -10 and -4
  No swap needed

Pass 5:
  Compare -80 and -35
  No swap needed
  Compare -35 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -35, -10, -4, 83, 89, 97]
</think>

<response>-80, -35, -10, -4, 83, 89, 97</response>


input: Execute bubble sort to sort 3, -76, -18, -75, -62, -99, -30 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [3, -76, -18, -75, -62, -99, -30]

Pass 1:
  Compare 3 and -76
  Swap 3 and -76
  List after swap: [-76, 3, -18, -75, -62, -99, -30]
  Compare 3 and -18
  Swap 3 and -18
  List after swap: [-76, -18, 3, -75, -62, -99, -30]
  Compare 3 and -75
  Swap 3 and -75
  List after swap: [-76, -18, -75, 3, -62, -99, -30]
  Compare 3 and -62
  Swap 3 and -62
  List after swap: [-76, -18, -75, -62, 3, -99, -30]
  Compare 3 and -99
  Swap 3 and -99
  List after swap: [-76, -18, -75, -62, -99, 3, -30]
  Compare 3 and -30
  Swap 3 and -30
  List after swap: [-76, -18, -75, -62, -99, -30, 3]

Pass 2:
  Compare -76 and -18
  No swap needed
  Compare -18 and -75
  Swap -18 and -75
  List after swap: [-76, -75, -18, -62, -99, -30, 3]
  Compare -18 and -62
  Swap -18 and -62
  List after swap: [-76, -75, -62, -18, -99, -30, 3]
  Compare -18 and -99
  Swap -18 and -99
  List after swap: [-76, -75, -62, -99, -18, -30, 3]
  Compare -18 and -30
  Swap -18 and -30
  List after swap: [-76, -75, -62, -99, -30, -18, 3]

Pass 3:
  Compare -76 and -75
  No swap needed
  Compare -75 and -62
  No swap needed
  Compare -62 and -99
  Swap -62 and -99
  List after swap: [-76, -75, -99, -62, -30, -18, 3]
  Compare -62 and -30
  No swap needed

Pass 4:
  Compare -76 and -75
  No swap needed
  Compare -75 and -99
  Swap -75 and -99
  List after swap: [-76, -99, -75, -62, -30, -18, 3]
  Compare -75 and -62
  No swap needed

Pass 5:
  Compare -76 and -99
  Swap -76 and -99
  List after swap: [-99, -76, -75, -62, -30, -18, 3]
  Compare -76 and -75
  No swap needed

Pass 6:
  Compare -99 and -76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -76, -75, -62, -30, -18, 3]
</think>

<response>-99, -76, -75, -62, -30, -18, 3</response>


input: Perform a bubble sort on the integers 4, 18, 26, 84, 45, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [4, 18, 26, 84, 45]

Pass 1:
  Compare 4 and 18
  No swap needed
  Compare 18 and 26
  No swap needed
  Compare 26 and 84
  No swap needed
  Compare 84 and 45
  Swap 84 and 45
  List after swap: [4, 18, 26, 45, 84]

Pass 2:
  Compare 4 and 18
  No swap needed
  Compare 18 and 26
  No swap needed
  Compare 26 and 45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [4, 18, 26, 45, 84]
</think>

<response>4, 18, 26, 45, 84</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -14, 53, -34, 94, -47, 4, -86.

output:
<think>
Initial list: [-14, 53, -34, 94, -47, 4, -86]

Pass 1:
  Compare -14 and 53
  No swap needed
  Compare 53 and -34
  Swap 53 and -34
  List after swap: [-14, -34, 53, 94, -47, 4, -86]
  Compare 53 and 94
  No swap needed
  Compare 94 and -47
  Swap 94 and -47
  List after swap: [-14, -34, 53, -47, 94, 4, -86]
  Compare 94 and 4
  Swap 94 and 4
  List after swap: [-14, -34, 53, -47, 4, 94, -86]
  Compare 94 and -86
  Swap 94 and -86
  List after swap: [-14, -34, 53, -47, 4, -86, 94]

Pass 2:
  Compare -14 and -34
  Swap -14 and -34
  List after swap: [-34, -14, 53, -47, 4, -86, 94]
  Compare -14 and 53
  No swap needed
  Compare 53 and -47
  Swap 53 and -47
  List after swap: [-34, -14, -47, 53, 4, -86, 94]
  Compare 53 and 4
  Swap 53 and 4
  List after swap: [-34, -14, -47, 4, 53, -86, 94]
  Compare 53 and -86
  Swap 53 and -86
  List after swap: [-34, -14, -47, 4, -86, 53, 94]

Pass 3:
  Compare -34 and -14
  No swap needed
  Compare -14 and -47
  Swap -14 and -47
  List after swap: [-34, -47, -14, 4, -86, 53, 94]
  Compare -14 and 4
  No swap needed
  Compare 4 and -86
  Swap 4 and -86
  List after swap: [-34, -47, -14, -86, 4, 53, 94]

Pass 4:
  Compare -34 and -47
  Swap -34 and -47
  List after swap: [-47, -34, -14, -86, 4, 53, 94]
  Compare -34 and -14
  No swap needed
  Compare -14 and -86
  Swap -14 and -86
  List after swap: [-47, -34, -86, -14, 4, 53, 94]

Pass 5:
  Compare -47 and -34
  No swap needed
  Compare -34 and -86
  Swap -34 and -86
  List after swap: [-47, -86, -34, -14, 4, 53, 94]

Pass 6:
  Compare -47 and -86
  Swap -47 and -86
  List after swap: [-86, -47, -34, -14, 4, 53, 94]

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

Final sorted list: [-86, -47, -34, -14, 4, 53, 94]
</think>

<response>-86, -47, -34, -14, 4, 53, 94</response>


input: Perform a bubble sort on the integers 33, 35, 17, -44, -40, -6, 87, 4, -56, 54, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [33, 35, 17, -44, -40, -6, 87, 4, -56, 54]

Pass 1:
  Compare 33 and 35
  No swap needed
  Compare 35 and 17
  Swap 35 and 17
  List after swap: [33, 17, 35, -44, -40, -6, 87, 4, -56, 54]
  Compare 35 and -44
  Swap 35 and -44
  List after swap: [33, 17, -44, 35, -40, -6, 87, 4, -56, 54]
  Compare 35 and -40
  Swap 35 and -40
  List after swap: [33, 17, -44, -40, 35, -6, 87, 4, -56, 54]
  Compare 35 and -6
  Swap 35 and -6
  List after swap: [33, 17, -44, -40, -6, 35, 87, 4, -56, 54]
  Compare 35 and 87
  No swap needed
  Compare 87 and 4
  Swap 87 and 4
  List after swap: [33, 17, -44, -40, -6, 35, 4, 87, -56, 54]
  Compare 87 and -56
  Swap 87 and -56
  List after swap: [33, 17, -44, -40, -6, 35, 4, -56, 87, 54]
  Compare 87 and 54
  Swap 87 and 54
  List after swap: [33, 17, -44, -40, -6, 35, 4, -56, 54, 87]

Pass 2:
  Compare 33 and 17
  Swap 33 and 17
  List after swap: [17, 33, -44, -40, -6, 35, 4, -56, 54, 87]
  Compare 33 and -44
  Swap 33 and -44
  List after swap: [17, -44, 33, -40, -6, 35, 4, -56, 54, 87]
  Compare 33 and -40
  Swap 33 and -40
  List after swap: [17, -44, -40, 33, -6, 35, 4, -56, 54, 87]
  Compare 33 and -6
  Swap 33 and -6
  List after swap: [17, -44, -40, -6, 33, 35, 4, -56, 54, 87]
  Compare 33 and 35
  No swap needed
  Compare 35 and 4
  Swap 35 and 4
  List after swap: [17, -44, -40, -6, 33, 4, 35, -56, 54, 87]
  Compare 35 and -56
  Swap 35 and -56
  List after swap: [17, -44, -40, -6, 33, 4, -56, 35, 54, 87]
  Compare 35 and 54
  No swap needed

Pass 3:
  Compare 17 and -44
  Swap 17 and -44
  List after swap: [-44, 17, -40, -6, 33, 4, -56, 35, 54, 87]
  Compare 17 and -40
  Swap 17 and -40
  List after swap: [-44, -40, 17, -6, 33, 4, -56, 35, 54, 87]
  Compare 17 and -6
  Swap 17 and -6
  List after swap: [-44, -40, -6, 17, 33, 4, -56, 35, 54, 87]
  Compare 17 and 33
  No swap needed
  Compare 33 and 4
  Swap 33 and 4
  List after swap: [-44, -40, -6, 17, 4, 33, -56, 35, 54, 87]
  Compare 33 and -56
  Swap 33 and -56
  List after swap: [-44, -40, -6, 17, 4, -56, 33, 35, 54, 87]
  Compare 33 and 35
  No swap needed

Pass 4:
  Compare -44 and -40
  No swap needed
  Compare -40 and -6
  No swap needed
  Compare -6 and 17
  No swap needed
  Compare 17 and 4
  Swap 17 and 4
  List after swap: [-44, -40, -6, 4, 17, -56, 33, 35, 54, 87]
  Compare 17 and -56
  Swap 17 and -56
  List after swap: [-44, -40, -6, 4, -56, 17, 33, 35, 54, 87]
  Compare 17 and 33
  No swap needed

Pass 5:
  Compare -44 and -40
  No swap needed
  Compare -40 and -6
  No swap needed
  Compare -6 and 4
  No swap needed
  Compare 4 and -56
  Swap 4 and -56
  List after swap: [-44, -40, -6, -56, 4, 17, 33, 35, 54, 87]
  Compare 4 and 17
  No swap needed

Pass 6:
  Compare -44 and -40
  No swap needed
  Compare -40 and -6
  No swap needed
  Compare -6 and -56
  Swap -6 and -56
  List after swap: [-44, -40, -56, -6, 4, 17, 33, 35, 54, 87]
  Compare -6 and 4
  No swap needed

Pass 7:
  Compare -44 and -40
  No swap needed
  Compare -40 and -56
  Swap -40 and -56
  List after swap: [-44, -56, -40, -6, 4, 17, 33, 35, 54, 87]
  Compare -40 and -6
  No swap needed

Pass 8:
  Compare -44 and -56
  Swap -44 and -56
  List after swap: [-56, -44, -40, -6, 4, 17, 33, 35, 54, 87]
  Compare -44 and -40
  No swap needed

Pass 9:
  Compare -56 and -44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -44, -40, -6, 4, 17, 33, 35, 54, 87]
</think>

<response>-56, -44, -40, -6, 4, 17, 33, 35, 54, 87</response>


input: Arrange the numbers 78, 88, 39, -21, -83 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [78, 88, 39, -21, -83]

Pass 1:
  Compare 78 and 88
  No swap needed
  Compare 88 and 39
  Swap 88 and 39
  List after swap: [78, 39, 88, -21, -83]
  Compare 88 and -21
  Swap 88 and -21
  List after swap: [78, 39, -21, 88, -83]
  Compare 88 and -83
  Swap 88 and -83
  List after swap: [78, 39, -21, -83, 88]

Pass 2:
  Compare 78 and 39
  Swap 78 and 39
  List after swap: [39, 78, -21, -83, 88]
  Compare 78 and -21
  Swap 78 and -21
  List after swap: [39, -21, 78, -83, 88]
  Compare 78 and -83
  Swap 78 and -83
  List after swap: [39, -21, -83, 78, 88]

Pass 3:
  Compare 39 and -21
  Swap 39 and -21
  List after swap: [-21, 39, -83, 78, 88]
  Compare 39 and -83
  Swap 39 and -83
  List after swap: [-21, -83, 39, 78, 88]

Pass 4:
  Compare -21 and -83
  Swap -21 and -83
  List after swap: [-83, -21, 39, 78, 88]

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

Final sorted list: [-83, -21, 39, 78, 88]
</think>

<response>-83, -21, 39, 78, 88</response>


input: Arrange the numbers 34, 88, -5, 64, -56 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [34, 88, -5, 64, -56]

Pass 1:
  Compare 34 and 88
  No swap needed
  Compare 88 and -5
  Swap 88 and -5
  List after swap: [34, -5, 88, 64, -56]
  Compare 88 and 64
  Swap 88 and 64
  List after swap: [34, -5, 64, 88, -56]
  Compare 88 and -56
  Swap 88 and -56
  List after swap: [34, -5, 64, -56, 88]

Pass 2:
  Compare 34 and -5
  Swap 34 and -5
  List after swap: [-5, 34, 64, -56, 88]
  Compare 34 and 64
  No swap needed
  Compare 64 and -56
  Swap 64 and -56
  List after swap: [-5, 34, -56, 64, 88]

Pass 3:
  Compare -5 and 34
  No swap needed
  Compare 34 and -56
  Swap 34 and -56
  List after swap: [-5, -56, 34, 64, 88]

Pass 4:
  Compare -5 and -56
  Swap -5 and -56
  List after swap: [-56, -5, 34, 64, 88]

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

Final sorted list: [-56, -5, 34, 64, 88]
</think>

<response>-56, -5, 34, 64, 88</response>


input: Sort the list -65, 41, 79, 46, -47, -53 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-65, 41, 79, 46, -47, -53]

Pass 1:
  Compare -65 and 41
  No swap needed
  Compare 41 and 79
  No swap needed
  Compare 79 and 46
  Swap 79 and 46
  List after swap: [-65, 41, 46, 79, -47, -53]
  Compare 79 and -47
  Swap 79 and -47
  List after swap: [-65, 41, 46, -47, 79, -53]
  Compare 79 and -53
  Swap 79 and -53
  List after swap: [-65, 41, 46, -47, -53, 79]

Pass 2:
  Compare -65 and 41
  No swap needed
  Compare 41 and 46
  No swap needed
  Compare 46 and -47
  Swap 46 and -47
  List after swap: [-65, 41, -47, 46, -53, 79]
  Compare 46 and -53
  Swap 46 and -53
  List after swap: [-65, 41, -47, -53, 46, 79]

Pass 3:
  Compare -65 and 41
  No swap needed
  Compare 41 and -47
  Swap 41 and -47
  List after swap: [-65, -47, 41, -53, 46, 79]
  Compare 41 and -53
  Swap 41 and -53
  List after swap: [-65, -47, -53, 41, 46, 79]

Pass 4:
  Compare -65 and -47
  No swap needed
  Compare -47 and -53
  Swap -47 and -53
  List after swap: [-65, -53, -47, 41, 46, 79]

Pass 5:
  Compare -65 and -53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -53, -47, 41, 46, 79]
</think>

<response>-65, -53, -47, 41, 46, 79</response>


input: Arrange the numbers 51, 66, 36 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [51, 66, 36]

Pass 1:
  Compare 51 and 66
  No swap needed
  Compare 66 and 36
  Swap 66 and 36
  List after swap: [51, 36, 66]

Pass 2:
  Compare 51 and 36
  Swap 51 and 36
  List after swap: [36, 51, 66]

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

Final sorted list: [36, 51, 66]
</think>

<response>36, 51, 66</response>


input: Implement bubble sort on 16, -10, 52, -41, 14 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [16, -10, 52, -41, 14]

Pass 1:
  Compare 16 and -10
  Swap 16 and -10
  List after swap: [-10, 16, 52, -41, 14]
  Compare 16 and 52
  No swap needed
  Compare 52 and -41
  Swap 52 and -41
  List after swap: [-10, 16, -41, 52, 14]
  Compare 52 and 14
  Swap 52 and 14
  List after swap: [-10, 16, -41, 14, 52]

Pass 2:
  Compare -10 and 16
  No swap needed
  Compare 16 and -41
  Swap 16 and -41
  List after swap: [-10, -41, 16, 14, 52]
  Compare 16 and 14
  Swap 16 and 14
  List after swap: [-10, -41, 14, 16, 52]

Pass 3:
  Compare -10 and -41
  Swap -10 and -41
  List after swap: [-41, -10, 14, 16, 52]
  Compare -10 and 14
  No swap needed

Pass 4:
  Compare -41 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-41, -10, 14, 16, 52]
</think>

<response>-41, -10, 14, 16, 52</response>


input: Execute bubble sort to sort -84, 79 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-84, 79]

Pass 1:
  Compare -84 and 79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, 79]
</think>

<response>-84, 79</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 73, 10, 37, 87, -6.

output:
<think>
Initial list: [73, 10, 37, 87, -6]

Pass 1:
  Compare 73 and 10
  Swap 73 and 10
  List after swap: [10, 73, 37, 87, -6]
  Compare 73 and 37
  Swap 73 and 37
  List after swap: [10, 37, 73, 87, -6]
  Compare 73 and 87
  No swap needed
  Compare 87 and -6
  Swap 87 and -6
  List after swap: [10, 37, 73, -6, 87]

Pass 2:
  Compare 10 and 37
  No swap needed
  Compare 37 and 73
  No swap needed
  Compare 73 and -6
  Swap 73 and -6
  List after swap: [10, 37, -6, 73, 87]

Pass 3:
  Compare 10 and 37
  No swap needed
  Compare 37 and -6
  Swap 37 and -6
  List after swap: [10, -6, 37, 73, 87]

Pass 4:
  Compare 10 and -6
  Swap 10 and -6
  List after swap: [-6, 10, 37, 73, 87]

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

Final sorted list: [-6, 10, 37, 73, 87]
</think>

<response>-6, 10, 37, 73, 87</response>


input: Sort these integers -22, -30, -17, 92, -43, 52, 49, 24, 10, 40 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-22, -30, -17, 92, -43, 52, 49, 24, 10, 40]

Pass 1:
  Compare -22 and -30
  Swap -22 and -30
  List after swap: [-30, -22, -17, 92, -43, 52, 49, 24, 10, 40]
  Compare -22 and -17
  No swap needed
  Compare -17 and 92
  No swap needed
  Compare 92 and -43
  Swap 92 and -43
  List after swap: [-30, -22, -17, -43, 92, 52, 49, 24, 10, 40]
  Compare 92 and 52
  Swap 92 and 52
  List after swap: [-30, -22, -17, -43, 52, 92, 49, 24, 10, 40]
  Compare 92 and 49
  Swap 92 and 49
  List after swap: [-30, -22, -17, -43, 52, 49, 92, 24, 10, 40]
  Compare 92 and 24
  Swap 92 and 24
  List after swap: [-30, -22, -17, -43, 52, 49, 24, 92, 10, 40]
  Compare 92 and 10
  Swap 92 and 10
  List after swap: [-30, -22, -17, -43, 52, 49, 24, 10, 92, 40]
  Compare 92 and 40
  Swap 92 and 40
  List after swap: [-30, -22, -17, -43, 52, 49, 24, 10, 40, 92]

Pass 2:
  Compare -30 and -22
  No swap needed
  Compare -22 and -17
  No swap needed
  Compare -17 and -43
  Swap -17 and -43
  List after swap: [-30, -22, -43, -17, 52, 49, 24, 10, 40, 92]
  Compare -17 and 52
  No swap needed
  Compare 52 and 49
  Swap 52 and 49
  List after swap: [-30, -22, -43, -17, 49, 52, 24, 10, 40, 92]
  Compare 52 and 24
  Swap 52 and 24
  List after swap: [-30, -22, -43, -17, 49, 24, 52, 10, 40, 92]
  Compare 52 and 10
  Swap 52 and 10
  List after swap: [-30, -22, -43, -17, 49, 24, 10, 52, 40, 92]
  Compare 52 and 40
  Swap 52 and 40
  List after swap: [-30, -22, -43, -17, 49, 24, 10, 40, 52, 92]

Pass 3:
  Compare -30 and -22
  No swap needed
  Compare -22 and -43
  Swap -22 and -43
  List after swap: [-30, -43, -22, -17, 49, 24, 10, 40, 52, 92]
  Compare -22 and -17
  No swap needed
  Compare -17 and 49
  No swap needed
  Compare 49 and 24
  Swap 49 and 24
  List after swap: [-30, -43, -22, -17, 24, 49, 10, 40, 52, 92]
  Compare 49 and 10
  Swap 49 and 10
  List after swap: [-30, -43, -22, -17, 24, 10, 49, 40, 52, 92]
  Compare 49 and 40
  Swap 49 and 40
  List after swap: [-30, -43, -22, -17, 24, 10, 40, 49, 52, 92]

Pass 4:
  Compare -30 and -43
  Swap -30 and -43
  List after swap: [-43, -30, -22, -17, 24, 10, 40, 49, 52, 92]
  Compare -30 and -22
  No swap needed
  Compare -22 and -17
  No swap needed
  Compare -17 and 24
  No swap needed
  Compare 24 and 10
  Swap 24 and 10
  List after swap: [-43, -30, -22, -17, 10, 24, 40, 49, 52, 92]
  Compare 24 and 40
  No swap needed

Pass 5:
  Compare -43 and -30
  No swap needed
  Compare -30 and -22
  No swap needed
  Compare -22 and -17
  No swap needed
  Compare -17 and 10
  No swap needed
  Compare 10 and 24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-43, -30, -22, -17, 10, 24, 40, 49, 52, 92]
</think>

<response>-43, -30, -22, -17, 10, 24, 40, 49, 52, 92</response>


input: Arrange the numbers -16, -88, 36, 59 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-16, -88, 36, 59]

Pass 1:
  Compare -16 and -88
  Swap -16 and -88
  List after swap: [-88, -16, 36, 59]
  Compare -16 and 36
  No swap needed
  Compare 36 and 59
  No swap needed

Pass 2:
  Compare -88 and -16
  No swap needed
  Compare -16 and 36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -16, 36, 59]
</think>

<response>-88, -16, 36, 59</response>


input: Using the bubble sort method, sort 78, -75, -54, 44, -90, -80, -23, -61, -88, -65 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [78, -75, -54, 44, -90, -80, -23, -61, -88, -65]

Pass 1:
  Compare 78 and -75
  Swap 78 and -75
  List after swap: [-75, 78, -54, 44, -90, -80, -23, -61, -88, -65]
  Compare 78 and -54
  Swap 78 and -54
  List after swap: [-75, -54, 78, 44, -90, -80, -23, -61, -88, -65]
  Compare 78 and 44
  Swap 78 and 44
  List after swap: [-75, -54, 44, 78, -90, -80, -23, -61, -88, -65]
  Compare 78 and -90
  Swap 78 and -90
  List after swap: [-75, -54, 44, -90, 78, -80, -23, -61, -88, -65]
  Compare 78 and -80
  Swap 78 and -80
  List after swap: [-75, -54, 44, -90, -80, 78, -23, -61, -88, -65]
  Compare 78 and -23
  Swap 78 and -23
  List after swap: [-75, -54, 44, -90, -80, -23, 78, -61, -88, -65]
  Compare 78 and -61
  Swap 78 and -61
  List after swap: [-75, -54, 44, -90, -80, -23, -61, 78, -88, -65]
  Compare 78 and -88
  Swap 78 and -88
  List after swap: [-75, -54, 44, -90, -80, -23, -61, -88, 78, -65]
  Compare 78 and -65
  Swap 78 and -65
  List after swap: [-75, -54, 44, -90, -80, -23, -61, -88, -65, 78]

Pass 2:
  Compare -75 and -54
  No swap needed
  Compare -54 and 44
  No swap needed
  Compare 44 and -90
  Swap 44 and -90
  List after swap: [-75, -54, -90, 44, -80, -23, -61, -88, -65, 78]
  Compare 44 and -80
  Swap 44 and -80
  List after swap: [-75, -54, -90, -80, 44, -23, -61, -88, -65, 78]
  Compare 44 and -23
  Swap 44 and -23
  List after swap: [-75, -54, -90, -80, -23, 44, -61, -88, -65, 78]
  Compare 44 and -61
  Swap 44 and -61
  List after swap: [-75, -54, -90, -80, -23, -61, 44, -88, -65, 78]
  Compare 44 and -88
  Swap 44 and -88
  List after swap: [-75, -54, -90, -80, -23, -61, -88, 44, -65, 78]
  Compare 44 and -65
  Swap 44 and -65
  List after swap: [-75, -54, -90, -80, -23, -61, -88, -65, 44, 78]

Pass 3:
  Compare -75 and -54
  No swap needed
  Compare -54 and -90
  Swap -54 and -90
  List after swap: [-75, -90, -54, -80, -23, -61, -88, -65, 44, 78]
  Compare -54 and -80
  Swap -54 and -80
  List after swap: [-75, -90, -80, -54, -23, -61, -88, -65, 44, 78]
  Compare -54 and -23
  No swap needed
  Compare -23 and -61
  Swap -23 and -61
  List after swap: [-75, -90, -80, -54, -61, -23, -88, -65, 44, 78]
  Compare -23 and -88
  Swap -23 and -88
  List after swap: [-75, -90, -80, -54, -61, -88, -23, -65, 44, 78]
  Compare -23 and -65
  Swap -23 and -65
  List after swap: [-75, -90, -80, -54, -61, -88, -65, -23, 44, 78]

Pass 4:
  Compare -75 and -90
  Swap -75 and -90
  List after swap: [-90, -75, -80, -54, -61, -88, -65, -23, 44, 78]
  Compare -75 and -80
  Swap -75 and -80
  List after swap: [-90, -80, -75, -54, -61, -88, -65, -23, 44, 78]
  Compare -75 and -54
  No swap needed
  Compare -54 and -61
  Swap -54 and -61
  List after swap: [-90, -80, -75, -61, -54, -88, -65, -23, 44, 78]
  Compare -54 and -88
  Swap -54 and -88
  List after swap: [-90, -80, -75, -61, -88, -54, -65, -23, 44, 78]
  Compare -54 and -65
  Swap -54 and -65
  List after swap: [-90, -80, -75, -61, -88, -65, -54, -23, 44, 78]

Pass 5:
  Compare -90 and -80
  No swap needed
  Compare -80 and -75
  No swap needed
  Compare -75 and -61
  No swap needed
  Compare -61 and -88
  Swap -61 and -88
  List after swap: [-90, -80, -75, -88, -61, -65, -54, -23, 44, 78]
  Compare -61 and -65
  Swap -61 and -65
  List after swap: [-90, -80, -75, -88, -65, -61, -54, -23, 44, 78]

Pass 6:
  Compare -90 and -80
  No swap needed
  Compare -80 and -75
  No swap needed
  Compare -75 and -88
  Swap -75 and -88
  List after swap: [-90, -80, -88, -75, -65, -61, -54, -23, 44, 78]
  Compare -75 and -65
  No swap needed

Pass 7:
  Compare -90 and -80
  No swap needed
  Compare -80 and -88
  Swap -80 and -88
  List after swap: [-90, -88, -80, -75, -65, -61, -54, -23, 44, 78]
  Compare -80 and -75
  No swap needed

Pass 8:
  Compare -90 and -88
  No swap needed
  Compare -88 and -80
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -88, -80, -75, -65, -61, -54, -23, 44, 78]
</think>

<response>-90, -88, -80, -75, -65, -61, -54, -23, 44, 78</response>


input: Implement bubble sort on 63, 88, 54, -49, -100, 33, -75, -83, 2, 21 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [63, 88, 54, -49, -100, 33, -75, -83, 2, 21]

Pass 1:
  Compare 63 and 88
  No swap needed
  Compare 88 and 54
  Swap 88 and 54
  List after swap: [63, 54, 88, -49, -100, 33, -75, -83, 2, 21]
  Compare 88 and -49
  Swap 88 and -49
  List after swap: [63, 54, -49, 88, -100, 33, -75, -83, 2, 21]
  Compare 88 and -100
  Swap 88 and -100
  List after swap: [63, 54, -49, -100, 88, 33, -75, -83, 2, 21]
  Compare 88 and 33
  Swap 88 and 33
  List after swap: [63, 54, -49, -100, 33, 88, -75, -83, 2, 21]
  Compare 88 and -75
  Swap 88 and -75
  List after swap: [63, 54, -49, -100, 33, -75, 88, -83, 2, 21]
  Compare 88 and -83
  Swap 88 and -83
  List after swap: [63, 54, -49, -100, 33, -75, -83, 88, 2, 21]
  Compare 88 and 2
  Swap 88 and 2
  List after swap: [63, 54, -49, -100, 33, -75, -83, 2, 88, 21]
  Compare 88 and 21
  Swap 88 and 21
  List after swap: [63, 54, -49, -100, 33, -75, -83, 2, 21, 88]

Pass 2:
  Compare 63 and 54
  Swap 63 and 54
  List after swap: [54, 63, -49, -100, 33, -75, -83, 2, 21, 88]
  Compare 63 and -49
  Swap 63 and -49
  List after swap: [54, -49, 63, -100, 33, -75, -83, 2, 21, 88]
  Compare 63 and -100
  Swap 63 and -100
  List after swap: [54, -49, -100, 63, 33, -75, -83, 2, 21, 88]
  Compare 63 and 33
  Swap 63 and 33
  List after swap: [54, -49, -100, 33, 63, -75, -83, 2, 21, 88]
  Compare 63 and -75
  Swap 63 and -75
  List after swap: [54, -49, -100, 33, -75, 63, -83, 2, 21, 88]
  Compare 63 and -83
  Swap 63 and -83
  List after swap: [54, -49, -100, 33, -75, -83, 63, 2, 21, 88]
  Compare 63 and 2
  Swap 63 and 2
  List after swap: [54, -49, -100, 33, -75, -83, 2, 63, 21, 88]
  Compare 63 and 21
  Swap 63 and 21
  List after swap: [54, -49, -100, 33, -75, -83, 2, 21, 63, 88]

Pass 3:
  Compare 54 and -49
  Swap 54 and -49
  List after swap: [-49, 54, -100, 33, -75, -83, 2, 21, 63, 88]
  Compare 54 and -100
  Swap 54 and -100
  List after swap: [-49, -100, 54, 33, -75, -83, 2, 21, 63, 88]
  Compare 54 and 33
  Swap 54 and 33
  List after swap: [-49, -100, 33, 54, -75, -83, 2, 21, 63, 88]
  Compare 54 and -75
  Swap 54 and -75
  List after swap: [-49, -100, 33, -75, 54, -83, 2, 21, 63, 88]
  Compare 54 and -83
  Swap 54 and -83
  List after swap: [-49, -100, 33, -75, -83, 54, 2, 21, 63, 88]
  Compare 54 and 2
  Swap 54 and 2
  List after swap: [-49, -100, 33, -75, -83, 2, 54, 21, 63, 88]
  Compare 54 and 21
  Swap 54 and 21
  List after swap: [-49, -100, 33, -75, -83, 2, 21, 54, 63, 88]

Pass 4:
  Compare -49 and -100
  Swap -49 and -100
  List after swap: [-100, -49, 33, -75, -83, 2, 21, 54, 63, 88]
  Compare -49 and 33
  No swap needed
  Compare 33 and -75
  Swap 33 and -75
  List after swap: [-100, -49, -75, 33, -83, 2, 21, 54, 63, 88]
  Compare 33 and -83
  Swap 33 and -83
  List after swap: [-100, -49, -75, -83, 33, 2, 21, 54, 63, 88]
  Compare 33 and 2
  Swap 33 and 2
  List after swap: [-100, -49, -75, -83, 2, 33, 21, 54, 63, 88]
  Compare 33 and 21
  Swap 33 and 21
  List after swap: [-100, -49, -75, -83, 2, 21, 33, 54, 63, 88]

Pass 5:
  Compare -100 and -49
  No swap needed
  Compare -49 and -75
  Swap -49 and -75
  List after swap: [-100, -75, -49, -83, 2, 21, 33, 54, 63, 88]
  Compare -49 and -83
  Swap -49 and -83
  List after swap: [-100, -75, -83, -49, 2, 21, 33, 54, 63, 88]
  Compare -49 and 2
  No swap needed
  Compare 2 and 21
  No swap needed

Pass 6:
  Compare -100 and -75
  No swap needed
  Compare -75 and -83
  Swap -75 and -83
  List after swap: [-100, -83, -75, -49, 2, 21, 33, 54, 63, 88]
  Compare -75 and -49
  No swap needed
  Compare -49 and 2
  No swap needed

Pass 7:
  Compare -100 and -83
  No swap needed
  Compare -83 and -75
  No swap needed
  Compare -75 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -83, -75, -49, 2, 21, 33, 54, 63, 88]
</think>

<response>-100, -83, -75, -49, 2, 21, 33, 54, 63, 88</response>


input: Carry out the bubble sort algorithm on 41, 54, -57, 85, -26 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [41, 54, -57, 85, -26]

Pass 1:
  Compare 41 and 54
  No swap needed
  Compare 54 and -57
  Swap 54 and -57
  List after swap: [41, -57, 54, 85, -26]
  Compare 54 and 85
  No swap needed
  Compare 85 and -26
  Swap 85 and -26
  List after swap: [41, -57, 54, -26, 85]

Pass 2:
  Compare 41 and -57
  Swap 41 and -57
  List after swap: [-57, 41, 54, -26, 85]
  Compare 41 and 54
  No swap needed
  Compare 54 and -26
  Swap 54 and -26
  List after swap: [-57, 41, -26, 54, 85]

Pass 3:
  Compare -57 and 41
  No swap needed
  Compare 41 and -26
  Swap 41 and -26
  List after swap: [-57, -26, 41, 54, 85]

Pass 4:
  Compare -57 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -26, 41, 54, 85]
</think>

<response>-57, -26, 41, 54, 85</response>


input: Using the bubble sort method, sort 8, 51, -80, 10, 99, 47, 93, -61 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [8, 51, -80, 10, 99, 47, 93, -61]

Pass 1:
  Compare 8 and 51
  No swap needed
  Compare 51 and -80
  Swap 51 and -80
  List after swap: [8, -80, 51, 10, 99, 47, 93, -61]
  Compare 51 and 10
  Swap 51 and 10
  List after swap: [8, -80, 10, 51, 99, 47, 93, -61]
  Compare 51 and 99
  No swap needed
  Compare 99 and 47
  Swap 99 and 47
  List after swap: [8, -80, 10, 51, 47, 99, 93, -61]
  Compare 99 and 93
  Swap 99 and 93
  List after swap: [8, -80, 10, 51, 47, 93, 99, -61]
  Compare 99 and -61
  Swap 99 and -61
  List after swap: [8, -80, 10, 51, 47, 93, -61, 99]

Pass 2:
  Compare 8 and -80
  Swap 8 and -80
  List after swap: [-80, 8, 10, 51, 47, 93, -61, 99]
  Compare 8 and 10
  No swap needed
  Compare 10 and 51
  No swap needed
  Compare 51 and 47
  Swap 51 and 47
  List after swap: [-80, 8, 10, 47, 51, 93, -61, 99]
  Compare 51 and 93
  No swap needed
  Compare 93 and -61
  Swap 93 and -61
  List after swap: [-80, 8, 10, 47, 51, -61, 93, 99]

Pass 3:
  Compare -80 and 8
  No swap needed
  Compare 8 and 10
  No swap needed
  Compare 10 and 47
  No swap needed
  Compare 47 and 51
  No swap needed
  Compare 51 and -61
  Swap 51 and -61
  List after swap: [-80, 8, 10, 47, -61, 51, 93, 99]

Pass 4:
  Compare -80 and 8
  No swap needed
  Compare 8 and 10
  No swap needed
  Compare 10 and 47
  No swap needed
  Compare 47 and -61
  Swap 47 and -61
  List after swap: [-80, 8, 10, -61, 47, 51, 93, 99]

Pass 5:
  Compare -80 and 8
  No swap needed
  Compare 8 and 10
  No swap needed
  Compare 10 and -61
  Swap 10 and -61
  List after swap: [-80, 8, -61, 10, 47, 51, 93, 99]

Pass 6:
  Compare -80 and 8
  No swap needed
  Compare 8 and -61
  Swap 8 and -61
  List after swap: [-80, -61, 8, 10, 47, 51, 93, 99]

Pass 7:
  Compare -80 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -61, 8, 10, 47, 51, 93, 99]
</think>

<response>-80, -61, 8, 10, 47, 51, 93, 99</response>


input: Implement bubble sort on -37, 82, 64, -10, -73, 98, -54, -83, -87 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-37, 82, 64, -10, -73, 98, -54, -83, -87]

Pass 1:
  Compare -37 and 82
  No swap needed
  Compare 82 and 64
  Swap 82 and 64
  List after swap: [-37, 64, 82, -10, -73, 98, -54, -83, -87]
  Compare 82 and -10
  Swap 82 and -10
  List after swap: [-37, 64, -10, 82, -73, 98, -54, -83, -87]
  Compare 82 and -73
  Swap 82 and -73
  List after swap: [-37, 64, -10, -73, 82, 98, -54, -83, -87]
  Compare 82 and 98
  No swap needed
  Compare 98 and -54
  Swap 98 and -54
  List after swap: [-37, 64, -10, -73, 82, -54, 98, -83, -87]
  Compare 98 and -83
  Swap 98 and -83
  List after swap: [-37, 64, -10, -73, 82, -54, -83, 98, -87]
  Compare 98 and -87
  Swap 98 and -87
  List after swap: [-37, 64, -10, -73, 82, -54, -83, -87, 98]

Pass 2:
  Compare -37 and 64
  No swap needed
  Compare 64 and -10
  Swap 64 and -10
  List after swap: [-37, -10, 64, -73, 82, -54, -83, -87, 98]
  Compare 64 and -73
  Swap 64 and -73
  List after swap: [-37, -10, -73, 64, 82, -54, -83, -87, 98]
  Compare 64 and 82
  No swap needed
  Compare 82 and -54
  Swap 82 and -54
  List after swap: [-37, -10, -73, 64, -54, 82, -83, -87, 98]
  Compare 82 and -83
  Swap 82 and -83
  List after swap: [-37, -10, -73, 64, -54, -83, 82, -87, 98]
  Compare 82 and -87
  Swap 82 and -87
  List after swap: [-37, -10, -73, 64, -54, -83, -87, 82, 98]

Pass 3:
  Compare -37 and -10
  No swap needed
  Compare -10 and -73
  Swap -10 and -73
  List after swap: [-37, -73, -10, 64, -54, -83, -87, 82, 98]
  Compare -10 and 64
  No swap needed
  Compare 64 and -54
  Swap 64 and -54
  List after swap: [-37, -73, -10, -54, 64, -83, -87, 82, 98]
  Compare 64 and -83
  Swap 64 and -83
  List after swap: [-37, -73, -10, -54, -83, 64, -87, 82, 98]
  Compare 64 and -87
  Swap 64 and -87
  List after swap: [-37, -73, -10, -54, -83, -87, 64, 82, 98]

Pass 4:
  Compare -37 and -73
  Swap -37 and -73
  List after swap: [-73, -37, -10, -54, -83, -87, 64, 82, 98]
  Compare -37 and -10
  No swap needed
  Compare -10 and -54
  Swap -10 and -54
  List after swap: [-73, -37, -54, -10, -83, -87, 64, 82, 98]
  Compare -10 and -83
  Swap -10 and -83
  List after swap: [-73, -37, -54, -83, -10, -87, 64, 82, 98]
  Compare -10 and -87
  Swap -10 and -87
  List after swap: [-73, -37, -54, -83, -87, -10, 64, 82, 98]

Pass 5:
  Compare -73 and -37
  No swap needed
  Compare -37 and -54
  Swap -37 and -54
  List after swap: [-73, -54, -37, -83, -87, -10, 64, 82, 98]
  Compare -37 and -83
  Swap -37 and -83
  List after swap: [-73, -54, -83, -37, -87, -10, 64, 82, 98]
  Compare -37 and -87
  Swap -37 and -87
  List after swap: [-73, -54, -83, -87, -37, -10, 64, 82, 98]

Pass 6:
  Compare -73 and -54
  No swap needed
  Compare -54 and -83
  Swap -54 and -83
  List after swap: [-73, -83, -54, -87, -37, -10, 64, 82, 98]
  Compare -54 and -87
  Swap -54 and -87
  List after swap: [-73, -83, -87, -54, -37, -10, 64, 82, 98]

Pass 7:
  Compare -73 and -83
  Swap -73 and -83
  List after swap: [-83, -73, -87, -54, -37, -10, 64, 82, 98]
  Compare -73 and -87
  Swap -73 and -87
  List after swap: [-83, -87, -73, -54, -37, -10, 64, 82, 98]

Pass 8:
  Compare -83 and -87
  Swap -83 and -87
  List after swap: [-87, -83, -73, -54, -37, -10, 64, 82, 98]

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

Final sorted list: [-87, -83, -73, -54, -37, -10, 64, 82, 98]
</think>

<response>-87, -83, -73, -54, -37, -10, 64, 82, 98</response>


input: Use the bubble sort technique to reorder -19, 80, 91, 53, -12 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-19, 80, 91, 53, -12]

Pass 1:
  Compare -19 and 80
  No swap needed
  Compare 80 and 91
  No swap needed
  Compare 91 and 53
  Swap 91 and 53
  List after swap: [-19, 80, 53, 91, -12]
  Compare 91 and -12
  Swap 91 and -12
  List after swap: [-19, 80, 53, -12, 91]

Pass 2:
  Compare -19 and 80
  No swap needed
  Compare 80 and 53
  Swap 80 and 53
  List after swap: [-19, 53, 80, -12, 91]
  Compare 80 and -12
  Swap 80 and -12
  List after swap: [-19, 53, -12, 80, 91]

Pass 3:
  Compare -19 and 53
  No swap needed
  Compare 53 and -12
  Swap 53 and -12
  List after swap: [-19, -12, 53, 80, 91]

Pass 4:
  Compare -19 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-19, -12, 53, 80, 91]
</think>

<response>-19, -12, 53, 80, 91</response>


input: Use the bubble sort technique to reorder -7, -25, -37, -56, 79, -19, 73, -47, -14 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-7, -25, -37, -56, 79, -19, 73, -47, -14]

Pass 1:
  Compare -7 and -25
  Swap -7 and -25
  List after swap: [-25, -7, -37, -56, 79, -19, 73, -47, -14]
  Compare -7 and -37
  Swap -7 and -37
  List after swap: [-25, -37, -7, -56, 79, -19, 73, -47, -14]
  Compare -7 and -56
  Swap -7 and -56
  List after swap: [-25, -37, -56, -7, 79, -19, 73, -47, -14]
  Compare -7 and 79
  No swap needed
  Compare 79 and -19
  Swap 79 and -19
  List after swap: [-25, -37, -56, -7, -19, 79, 73, -47, -14]
  Compare 79 and 73
  Swap 79 and 73
  List after swap: [-25, -37, -56, -7, -19, 73, 79, -47, -14]
  Compare 79 and -47
  Swap 79 and -47
  List after swap: [-25, -37, -56, -7, -19, 73, -47, 79, -14]
  Compare 79 and -14
  Swap 79 and -14
  List after swap: [-25, -37, -56, -7, -19, 73, -47, -14, 79]

Pass 2:
  Compare -25 and -37
  Swap -25 and -37
  List after swap: [-37, -25, -56, -7, -19, 73, -47, -14, 79]
  Compare -25 and -56
  Swap -25 and -56
  List after swap: [-37, -56, -25, -7, -19, 73, -47, -14, 79]
  Compare -25 and -7
  No swap needed
  Compare -7 and -19
  Swap -7 and -19
  List after swap: [-37, -56, -25, -19, -7, 73, -47, -14, 79]
  Compare -7 and 73
  No swap needed
  Compare 73 and -47
  Swap 73 and -47
  List after swap: [-37, -56, -25, -19, -7, -47, 73, -14, 79]
  Compare 73 and -14
  Swap 73 and -14
  List after swap: [-37, -56, -25, -19, -7, -47, -14, 73, 79]

Pass 3:
  Compare -37 and -56
  Swap -37 and -56
  List after swap: [-56, -37, -25, -19, -7, -47, -14, 73, 79]
  Compare -37 and -25
  No swap needed
  Compare -25 and -19
  No swap needed
  Compare -19 and -7
  No swap needed
  Compare -7 and -47
  Swap -7 and -47
  List after swap: [-56, -37, -25, -19, -47, -7, -14, 73, 79]
  Compare -7 and -14
  Swap -7 and -14
  List after swap: [-56, -37, -25, -19, -47, -14, -7, 73, 79]

Pass 4:
  Compare -56 and -37
  No swap needed
  Compare -37 and -25
  No swap needed
  Compare -25 and -19
  No swap needed
  Compare -19 and -47
  Swap -19 and -47
  List after swap: [-56, -37, -25, -47, -19, -14, -7, 73, 79]
  Compare -19 and -14
  No swap needed

Pass 5:
  Compare -56 and -37
  No swap needed
  Compare -37 and -25
  No swap needed
  Compare -25 and -47
  Swap -25 and -47
  List after swap: [-56, -37, -47, -25, -19, -14, -7, 73, 79]
  Compare -25 and -19
  No swap needed

Pass 6:
  Compare -56 and -37
  No swap needed
  Compare -37 and -47
  Swap -37 and -47
  List after swap: [-56, -47, -37, -25, -19, -14, -7, 73, 79]
  Compare -37 and -25
  No swap needed

Pass 7:
  Compare -56 and -47
  No swap needed
  Compare -47 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -47, -37, -25, -19, -14, -7, 73, 79]
</think>

<response>-56, -47, -37, -25, -19, -14, -7, 73, 79</response>


input: Use the bubble sort technique to reorder -57, -36, 9, -98 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-57, -36, 9, -98]

Pass 1:
  Compare -57 and -36
  No swap needed
  Compare -36 and 9
  No swap needed
  Compare 9 and -98
  Swap 9 and -98
  List after swap: [-57, -36, -98, 9]

Pass 2:
  Compare -57 and -36
  No swap needed
  Compare -36 and -98
  Swap -36 and -98
  List after swap: [-57, -98, -36, 9]

Pass 3:
  Compare -57 and -98
  Swap -57 and -98
  List after swap: [-98, -57, -36, 9]

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

Final sorted list: [-98, -57, -36, 9]
</think>

<response>-98, -57, -36, 9</response>


input: Demonstrate how bubble sort orders the integers -78, 58, 88 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-78, 58, 88]

Pass 1:
  Compare -78 and 58
  No swap needed
  Compare 58 and 88
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, 58, 88]
</think>

<response>-78, 58, 88</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 86, 53, 10, 94, -42, 28, 63, -55.

output:
<think>
Initial list: [86, 53, 10, 94, -42, 28, 63, -55]

Pass 1:
  Compare 86 and 53
  Swap 86 and 53
  List after swap: [53, 86, 10, 94, -42, 28, 63, -55]
  Compare 86 and 10
  Swap 86 and 10
  List after swap: [53, 10, 86, 94, -42, 28, 63, -55]
  Compare 86 and 94
  No swap needed
  Compare 94 and -42
  Swap 94 and -42
  List after swap: [53, 10, 86, -42, 94, 28, 63, -55]
  Compare 94 and 28
  Swap 94 and 28
  List after swap: [53, 10, 86, -42, 28, 94, 63, -55]
  Compare 94 and 63
  Swap 94 and 63
  List after swap: [53, 10, 86, -42, 28, 63, 94, -55]
  Compare 94 and -55
  Swap 94 and -55
  List after swap: [53, 10, 86, -42, 28, 63, -55, 94]

Pass 2:
  Compare 53 and 10
  Swap 53 and 10
  List after swap: [10, 53, 86, -42, 28, 63, -55, 94]
  Compare 53 and 86
  No swap needed
  Compare 86 and -42
  Swap 86 and -42
  List after swap: [10, 53, -42, 86, 28, 63, -55, 94]
  Compare 86 and 28
  Swap 86 and 28
  List after swap: [10, 53, -42, 28, 86, 63, -55, 94]
  Compare 86 and 63
  Swap 86 and 63
  List after swap: [10, 53, -42, 28, 63, 86, -55, 94]
  Compare 86 and -55
  Swap 86 and -55
  List after swap: [10, 53, -42, 28, 63, -55, 86, 94]

Pass 3:
  Compare 10 and 53
  No swap needed
  Compare 53 and -42
  Swap 53 and -42
  List after swap: [10, -42, 53, 28, 63, -55, 86, 94]
  Compare 53 and 28
  Swap 53 and 28
  List after swap: [10, -42, 28, 53, 63, -55, 86, 94]
  Compare 53 and 63
  No swap needed
  Compare 63 and -55
  Swap 63 and -55
  List after swap: [10, -42, 28, 53, -55, 63, 86, 94]

Pass 4:
  Compare 10 and -42
  Swap 10 and -42
  List after swap: [-42, 10, 28, 53, -55, 63, 86, 94]
  Compare 10 and 28
  No swap needed
  Compare 28 and 53
  No swap needed
  Compare 53 and -55
  Swap 53 and -55
  List after swap: [-42, 10, 28, -55, 53, 63, 86, 94]

Pass 5:
  Compare -42 and 10
  No swap needed
  Compare 10 and 28
  No swap needed
  Compare 28 and -55
  Swap 28 and -55
  List after swap: [-42, 10, -55, 28, 53, 63, 86, 94]

Pass 6:
  Compare -42 and 10
  No swap needed
  Compare 10 and -55
  Swap 10 and -55
  List after swap: [-42, -55, 10, 28, 53, 63, 86, 94]

Pass 7:
  Compare -42 and -55
  Swap -42 and -55
  List after swap: [-55, -42, 10, 28, 53, 63, 86, 94]

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

Final sorted list: [-55, -42, 10, 28, 53, 63, 86, 94]
</think>

<response>-55, -42, 10, 28, 53, 63, 86, 94</response>


input: Perform a bubble sort on the integers -84, -46, 6, -24, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-84, -46, 6, -24]

Pass 1:
  Compare -84 and -46
  No swap needed
  Compare -46 and 6
  No swap needed
  Compare 6 and -24
  Swap 6 and -24
  List after swap: [-84, -46, -24, 6]

Pass 2:
  Compare -84 and -46
  No swap needed
  Compare -46 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -46, -24, 6]
</think>

<response>-84, -46, -24, 6</response>


input: Demonstrate how bubble sort orders the integers 43, -30, 15, 93, 94, 47, 4, 23, 19, -21 in ascending sequence, showing all steps.

output:
<think>
Initial list: [43, -30, 15, 93, 94, 47, 4, 23, 19, -21]

Pass 1:
  Compare 43 and -30
  Swap 43 and -30
  List after swap: [-30, 43, 15, 93, 94, 47, 4, 23, 19, -21]
  Compare 43 and 15
  Swap 43 and 15
  List after swap: [-30, 15, 43, 93, 94, 47, 4, 23, 19, -21]
  Compare 43 and 93
  No swap needed
  Compare 93 and 94
  No swap needed
  Compare 94 and 47
  Swap 94 and 47
  List after swap: [-30, 15, 43, 93, 47, 94, 4, 23, 19, -21]
  Compare 94 and 4
  Swap 94 and 4
  List after swap: [-30, 15, 43, 93, 47, 4, 94, 23, 19, -21]
  Compare 94 and 23
  Swap 94 and 23
  List after swap: [-30, 15, 43, 93, 47, 4, 23, 94, 19, -21]
  Compare 94 and 19
  Swap 94 and 19
  List after swap: [-30, 15, 43, 93, 47, 4, 23, 19, 94, -21]
  Compare 94 and -21
  Swap 94 and -21
  List after swap: [-30, 15, 43, 93, 47, 4, 23, 19, -21, 94]

Pass 2:
  Compare -30 and 15
  No swap needed
  Compare 15 and 43
  No swap needed
  Compare 43 and 93
  No swap needed
  Compare 93 and 47
  Swap 93 and 47
  List after swap: [-30, 15, 43, 47, 93, 4, 23, 19, -21, 94]
  Compare 93 and 4
  Swap 93 and 4
  List after swap: [-30, 15, 43, 47, 4, 93, 23, 19, -21, 94]
  Compare 93 and 23
  Swap 93 and 23
  List after swap: [-30, 15, 43, 47, 4, 23, 93, 19, -21, 94]
  Compare 93 and 19
  Swap 93 and 19
  List after swap: [-30, 15, 43, 47, 4, 23, 19, 93, -21, 94]
  Compare 93 and -21
  Swap 93 and -21
  List after swap: [-30, 15, 43, 47, 4, 23, 19, -21, 93, 94]

Pass 3:
  Compare -30 and 15
  No swap needed
  Compare 15 and 43
  No swap needed
  Compare 43 and 47
  No swap needed
  Compare 47 and 4
  Swap 47 and 4
  List after swap: [-30, 15, 43, 4, 47, 23, 19, -21, 93, 94]
  Compare 47 and 23
  Swap 47 and 23
  List after swap: [-30, 15, 43, 4, 23, 47, 19, -21, 93, 94]
  Compare 47 and 19
  Swap 47 and 19
  List after swap: [-30, 15, 43, 4, 23, 19, 47, -21, 93, 94]
  Compare 47 and -21
  Swap 47 and -21
  List after swap: [-30, 15, 43, 4, 23, 19, -21, 47, 93, 94]

Pass 4:
  Compare -30 and 15
  No swap needed
  Compare 15 and 43
  No swap needed
  Compare 43 and 4
  Swap 43 and 4
  List after swap: [-30, 15, 4, 43, 23, 19, -21, 47, 93, 94]
  Compare 43 and 23
  Swap 43 and 23
  List after swap: [-30, 15, 4, 23, 43, 19, -21, 47, 93, 94]
  Compare 43 and 19
  Swap 43 and 19
  List after swap: [-30, 15, 4, 23, 19, 43, -21, 47, 93, 94]
  Compare 43 and -21
  Swap 43 and -21
  List after swap: [-30, 15, 4, 23, 19, -21, 43, 47, 93, 94]

Pass 5:
  Compare -30 and 15
  No swap needed
  Compare 15 and 4
  Swap 15 and 4
  List after swap: [-30, 4, 15, 23, 19, -21, 43, 47, 93, 94]
  Compare 15 and 23
  No swap needed
  Compare 23 and 19
  Swap 23 and 19
  List after swap: [-30, 4, 15, 19, 23, -21, 43, 47, 93, 94]
  Compare 23 and -21
  Swap 23 and -21
  List after swap: [-30, 4, 15, 19, -21, 23, 43, 47, 93, 94]

Pass 6:
  Compare -30 and 4
  No swap needed
  Compare 4 and 15
  No swap needed
  Compare 15 and 19
  No swap needed
  Compare 19 and -21
  Swap 19 and -21
  List after swap: [-30, 4, 15, -21, 19, 23, 43, 47, 93, 94]

Pass 7:
  Compare -30 and 4
  No swap needed
  Compare 4 and 15
  No swap needed
  Compare 15 and -21
  Swap 15 and -21
  List after swap: [-30, 4, -21, 15, 19, 23, 43, 47, 93, 94]

Pass 8:
  Compare -30 and 4
  No swap needed
  Compare 4 and -21
  Swap 4 and -21
  List after swap: [-30, -21, 4, 15, 19, 23, 43, 47, 93, 94]

Pass 9:
  Compare -30 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-30, -21, 4, 15, 19, 23, 43, 47, 93, 94]
</think>

<response>-30, -21, 4, 15, 19, 23, 43, 47, 93, 94</response>


input: Perform a bubble sort on the integers 16, -57, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [16, -57]

Pass 1:
  Compare 16 and -57
  Swap 16 and -57
  List after swap: [-57, 16]

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

Final sorted list: [-57, 16]
</think>

<response>-57, 16</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 61, 26, -34, -22, 28, 29, -14.

output:
<think>
Initial list: [61, 26, -34, -22, 28, 29, -14]

Pass 1:
  Compare 61 and 26
  Swap 61 and 26
  List after swap: [26, 61, -34, -22, 28, 29, -14]
  Compare 61 and -34
  Swap 61 and -34
  List after swap: [26, -34, 61, -22, 28, 29, -14]
  Compare 61 and -22
  Swap 61 and -22
  List after swap: [26, -34, -22, 61, 28, 29, -14]
  Compare 61 and 28
  Swap 61 and 28
  List after swap: [26, -34, -22, 28, 61, 29, -14]
  Compare 61 and 29
  Swap 61 and 29
  List after swap: [26, -34, -22, 28, 29, 61, -14]
  Compare 61 and -14
  Swap 61 and -14
  List after swap: [26, -34, -22, 28, 29, -14, 61]

Pass 2:
  Compare 26 and -34
  Swap 26 and -34
  List after swap: [-34, 26, -22, 28, 29, -14, 61]
  Compare 26 and -22
  Swap 26 and -22
  List after swap: [-34, -22, 26, 28, 29, -14, 61]
  Compare 26 and 28
  No swap needed
  Compare 28 and 29
  No swap needed
  Compare 29 and -14
  Swap 29 and -14
  List after swap: [-34, -22, 26, 28, -14, 29, 61]

Pass 3:
  Compare -34 and -22
  No swap needed
  Compare -22 and 26
  No swap needed
  Compare 26 and 28
  No swap needed
  Compare 28 and -14
  Swap 28 and -14
  List after swap: [-34, -22, 26, -14, 28, 29, 61]

Pass 4:
  Compare -34 and -22
  No swap needed
  Compare -22 and 26
  No swap needed
  Compare 26 and -14
  Swap 26 and -14
  List after swap: [-34, -22, -14, 26, 28, 29, 61]

Pass 5:
  Compare -34 and -22
  No swap needed
  Compare -22 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-34, -22, -14, 26, 28, 29, 61]
</think>

<response>-34, -22, -14, 26, 28, 29, 61</response>


input: Carry out the bubble sort algorithm on 94, 76, -63, -48, -4, 95, 25, 16, 45, -32 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [94, 76, -63, -48, -4, 95, 25, 16, 45, -32]

Pass 1:
  Compare 94 and 76
  Swap 94 and 76
  List after swap: [76, 94, -63, -48, -4, 95, 25, 16, 45, -32]
  Compare 94 and -63
  Swap 94 and -63
  List after swap: [76, -63, 94, -48, -4, 95, 25, 16, 45, -32]
  Compare 94 and -48
  Swap 94 and -48
  List after swap: [76, -63, -48, 94, -4, 95, 25, 16, 45, -32]
  Compare 94 and -4
  Swap 94 and -4
  List after swap: [76, -63, -48, -4, 94, 95, 25, 16, 45, -32]
  Compare 94 and 95
  No swap needed
  Compare 95 and 25
  Swap 95 and 25
  List after swap: [76, -63, -48, -4, 94, 25, 95, 16, 45, -32]
  Compare 95 and 16
  Swap 95 and 16
  List after swap: [76, -63, -48, -4, 94, 25, 16, 95, 45, -32]
  Compare 95 and 45
  Swap 95 and 45
  List after swap: [76, -63, -48, -4, 94, 25, 16, 45, 95, -32]
  Compare 95 and -32
  Swap 95 and -32
  List after swap: [76, -63, -48, -4, 94, 25, 16, 45, -32, 95]

Pass 2:
  Compare 76 and -63
  Swap 76 and -63
  List after swap: [-63, 76, -48, -4, 94, 25, 16, 45, -32, 95]
  Compare 76 and -48
  Swap 76 and -48
  List after swap: [-63, -48, 76, -4, 94, 25, 16, 45, -32, 95]
  Compare 76 and -4
  Swap 76 and -4
  List after swap: [-63, -48, -4, 76, 94, 25, 16, 45, -32, 95]
  Compare 76 and 94
  No swap needed
  Compare 94 and 25
  Swap 94 and 25
  List after swap: [-63, -48, -4, 76, 25, 94, 16, 45, -32, 95]
  Compare 94 and 16
  Swap 94 and 16
  List after swap: [-63, -48, -4, 76, 25, 16, 94, 45, -32, 95]
  Compare 94 and 45
  Swap 94 and 45
  List after swap: [-63, -48, -4, 76, 25, 16, 45, 94, -32, 95]
  Compare 94 and -32
  Swap 94 and -32
  List after swap: [-63, -48, -4, 76, 25, 16, 45, -32, 94, 95]

Pass 3:
  Compare -63 and -48
  No swap needed
  Compare -48 and -4
  No swap needed
  Compare -4 and 76
  No swap needed
  Compare 76 and 25
  Swap 76 and 25
  List after swap: [-63, -48, -4, 25, 76, 16, 45, -32, 94, 95]
  Compare 76 and 16
  Swap 76 and 16
  List after swap: [-63, -48, -4, 25, 16, 76, 45, -32, 94, 95]
  Compare 76 and 45
  Swap 76 and 45
  List after swap: [-63, -48, -4, 25, 16, 45, 76, -32, 94, 95]
  Compare 76 and -32
  Swap 76 and -32
  List after swap: [-63, -48, -4, 25, 16, 45, -32, 76, 94, 95]

Pass 4:
  Compare -63 and -48
  No swap needed
  Compare -48 and -4
  No swap needed
  Compare -4 and 25
  No swap needed
  Compare 25 and 16
  Swap 25 and 16
  List after swap: [-63, -48, -4, 16, 25, 45, -32, 76, 94, 95]
  Compare 25 and 45
  No swap needed
  Compare 45 and -32
  Swap 45 and -32
  List after swap: [-63, -48, -4, 16, 25, -32, 45, 76, 94, 95]

Pass 5:
  Compare -63 and -48
  No swap needed
  Compare -48 and -4
  No swap needed
  Compare -4 and 16
  No swap needed
  Compare 16 and 25
  No swap needed
  Compare 25 and -32
  Swap 25 and -32
  List after swap: [-63, -48, -4, 16, -32, 25, 45, 76, 94, 95]

Pass 6:
  Compare -63 and -48
  No swap needed
  Compare -48 and -4
  No swap needed
  Compare -4 and 16
  No swap needed
  Compare 16 and -32
  Swap 16 and -32
  List after swap: [-63, -48, -4, -32, 16, 25, 45, 76, 94, 95]

Pass 7:
  Compare -63 and -48
  No swap needed
  Compare -48 and -4
  No swap needed
  Compare -4 and -32
  Swap -4 and -32
  List after swap: [-63, -48, -32, -4, 16, 25, 45, 76, 94, 95]

Pass 8:
  Compare -63 and -48
  No swap needed
  Compare -48 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -48, -32, -4, 16, 25, 45, 76, 94, 95]
</think>

<response>-63, -48, -32, -4, 16, 25, 45, 76, 94, 95</response>


input: Using the bubble sort method, sort 81, -61, -18, -26, 12, 2, 36, -68 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [81, -61, -18, -26, 12, 2, 36, -68]

Pass 1:
  Compare 81 and -61
  Swap 81 and -61
  List after swap: [-61, 81, -18, -26, 12, 2, 36, -68]
  Compare 81 and -18
  Swap 81 and -18
  List after swap: [-61, -18, 81, -26, 12, 2, 36, -68]
  Compare 81 and -26
  Swap 81 and -26
  List after swap: [-61, -18, -26, 81, 12, 2, 36, -68]
  Compare 81 and 12
  Swap 81 and 12
  List after swap: [-61, -18, -26, 12, 81, 2, 36, -68]
  Compare 81 and 2
  Swap 81 and 2
  List after swap: [-61, -18, -26, 12, 2, 81, 36, -68]
  Compare 81 and 36
  Swap 81 and 36
  List after swap: [-61, -18, -26, 12, 2, 36, 81, -68]
  Compare 81 and -68
  Swap 81 and -68
  List after swap: [-61, -18, -26, 12, 2, 36, -68, 81]

Pass 2:
  Compare -61 and -18
  No swap needed
  Compare -18 and -26
  Swap -18 and -26
  List after swap: [-61, -26, -18, 12, 2, 36, -68, 81]
  Compare -18 and 12
  No swap needed
  Compare 12 and 2
  Swap 12 and 2
  List after swap: [-61, -26, -18, 2, 12, 36, -68, 81]
  Compare 12 and 36
  No swap needed
  Compare 36 and -68
  Swap 36 and -68
  List after swap: [-61, -26, -18, 2, 12, -68, 36, 81]

Pass 3:
  Compare -61 and -26
  No swap needed
  Compare -26 and -18
  No swap needed
  Compare -18 and 2
  No swap needed
  Compare 2 and 12
  No swap needed
  Compare 12 and -68
  Swap 12 and -68
  List after swap: [-61, -26, -18, 2, -68, 12, 36, 81]

Pass 4:
  Compare -61 and -26
  No swap needed
  Compare -26 and -18
  No swap needed
  Compare -18 and 2
  No swap needed
  Compare 2 and -68
  Swap 2 and -68
  List after swap: [-61, -26, -18, -68, 2, 12, 36, 81]

Pass 5:
  Compare -61 and -26
  No swap needed
  Compare -26 and -18
  No swap needed
  Compare -18 and -68
  Swap -18 and -68
  List after swap: [-61, -26, -68, -18, 2, 12, 36, 81]

Pass 6:
  Compare -61 and -26
  No swap needed
  Compare -26 and -68
  Swap -26 and -68
  List after swap: [-61, -68, -26, -18, 2, 12, 36, 81]

Pass 7:
  Compare -61 and -68
  Swap -61 and -68
  List after swap: [-68, -61, -26, -18, 2, 12, 36, 81]

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

Final sorted list: [-68, -61, -26, -18, 2, 12, 36, 81]
</think>

<response>-68, -61, -26, -18, 2, 12, 36, 81</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 14, -55, 82, 12, -48.

output:
<think>
Initial list: [14, -55, 82, 12, -48]

Pass 1:
  Compare 14 and -55
  Swap 14 and -55
  List after swap: [-55, 14, 82, 12, -48]
  Compare 14 and 82
  No swap needed
  Compare 82 and 12
  Swap 82 and 12
  List after swap: [-55, 14, 12, 82, -48]
  Compare 82 and -48
  Swap 82 and -48
  List after swap: [-55, 14, 12, -48, 82]

Pass 2:
  Compare -55 and 14
  No swap needed
  Compare 14 and 12
  Swap 14 and 12
  List after swap: [-55, 12, 14, -48, 82]
  Compare 14 and -48
  Swap 14 and -48
  List after swap: [-55, 12, -48, 14, 82]

Pass 3:
  Compare -55 and 12
  No swap needed
  Compare 12 and -48
  Swap 12 and -48
  List after swap: [-55, -48, 12, 14, 82]

Pass 4:
  Compare -55 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, -48, 12, 14, 82]
</think>

<response>-55, -48, 12, 14, 82</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -45, -35, 40.

output:
<think>
Initial list: [-45, -35, 40]

Pass 1:
  Compare -45 and -35
  No swap needed
  Compare -35 and 40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-45, -35, 40]
</think>

<response>-45, -35, 40</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -21, -38, 49, 65, -3, 3, -70, 75, -11.

output:
<think>
Initial list: [-21, -38, 49, 65, -3, 3, -70, 75, -11]

Pass 1:
  Compare -21 and -38
  Swap -21 and -38
  List after swap: [-38, -21, 49, 65, -3, 3, -70, 75, -11]
  Compare -21 and 49
  No swap needed
  Compare 49 and 65
  No swap needed
  Compare 65 and -3
  Swap 65 and -3
  List after swap: [-38, -21, 49, -3, 65, 3, -70, 75, -11]
  Compare 65 and 3
  Swap 65 and 3
  List after swap: [-38, -21, 49, -3, 3, 65, -70, 75, -11]
  Compare 65 and -70
  Swap 65 and -70
  List after swap: [-38, -21, 49, -3, 3, -70, 65, 75, -11]
  Compare 65 and 75
  No swap needed
  Compare 75 and -11
  Swap 75 and -11
  List after swap: [-38, -21, 49, -3, 3, -70, 65, -11, 75]

Pass 2:
  Compare -38 and -21
  No swap needed
  Compare -21 and 49
  No swap needed
  Compare 49 and -3
  Swap 49 and -3
  List after swap: [-38, -21, -3, 49, 3, -70, 65, -11, 75]
  Compare 49 and 3
  Swap 49 and 3
  List after swap: [-38, -21, -3, 3, 49, -70, 65, -11, 75]
  Compare 49 and -70
  Swap 49 and -70
  List after swap: [-38, -21, -3, 3, -70, 49, 65, -11, 75]
  Compare 49 and 65
  No swap needed
  Compare 65 and -11
  Swap 65 and -11
  List after swap: [-38, -21, -3, 3, -70, 49, -11, 65, 75]

Pass 3:
  Compare -38 and -21
  No swap needed
  Compare -21 and -3
  No swap needed
  Compare -3 and 3
  No swap needed
  Compare 3 and -70
  Swap 3 and -70
  List after swap: [-38, -21, -3, -70, 3, 49, -11, 65, 75]
  Compare 3 and 49
  No swap needed
  Compare 49 and -11
  Swap 49 and -11
  List after swap: [-38, -21, -3, -70, 3, -11, 49, 65, 75]

Pass 4:
  Compare -38 and -21
  No swap needed
  Compare -21 and -3
  No swap needed
  Compare -3 and -70
  Swap -3 and -70
  List after swap: [-38, -21, -70, -3, 3, -11, 49, 65, 75]
  Compare -3 and 3
  No swap needed
  Compare 3 and -11
  Swap 3 and -11
  List after swap: [-38, -21, -70, -3, -11, 3, 49, 65, 75]

Pass 5:
  Compare -38 and -21
  No swap needed
  Compare -21 and -70
  Swap -21 and -70
  List after swap: [-38, -70, -21, -3, -11, 3, 49, 65, 75]
  Compare -21 and -3
  No swap needed
  Compare -3 and -11
  Swap -3 and -11
  List after swap: [-38, -70, -21, -11, -3, 3, 49, 65, 75]

Pass 6:
  Compare -38 and -70
  Swap -38 and -70
  List after swap: [-70, -38, -21, -11, -3, 3, 49, 65, 75]
  Compare -38 and -21
  No swap needed
  Compare -21 and -11
  No swap needed

Pass 7:
  Compare -70 and -38
  No swap needed
  Compare -38 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -38, -21, -11, -3, 3, 49, 65, 75]
</think>

<response>-70, -38, -21, -11, -3, 3, 49, 65, 75</response>


input: Sort the list -96, 67, 82, 26, -9, -2, -7, 80, -67 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-96, 67, 82, 26, -9, -2, -7, 80, -67]

Pass 1:
  Compare -96 and 67
  No swap needed
  Compare 67 and 82
  No swap needed
  Compare 82 and 26
  Swap 82 and 26
  List after swap: [-96, 67, 26, 82, -9, -2, -7, 80, -67]
  Compare 82 and -9
  Swap 82 and -9
  List after swap: [-96, 67, 26, -9, 82, -2, -7, 80, -67]
  Compare 82 and -2
  Swap 82 and -2
  List after swap: [-96, 67, 26, -9, -2, 82, -7, 80, -67]
  Compare 82 and -7
  Swap 82 and -7
  List after swap: [-96, 67, 26, -9, -2, -7, 82, 80, -67]
  Compare 82 and 80
  Swap 82 and 80
  List after swap: [-96, 67, 26, -9, -2, -7, 80, 82, -67]
  Compare 82 and -67
  Swap 82 and -67
  List after swap: [-96, 67, 26, -9, -2, -7, 80, -67, 82]

Pass 2:
  Compare -96 and 67
  No swap needed
  Compare 67 and 26
  Swap 67 and 26
  List after swap: [-96, 26, 67, -9, -2, -7, 80, -67, 82]
  Compare 67 and -9
  Swap 67 and -9
  List after swap: [-96, 26, -9, 67, -2, -7, 80, -67, 82]
  Compare 67 and -2
  Swap 67 and -2
  List after swap: [-96, 26, -9, -2, 67, -7, 80, -67, 82]
  Compare 67 and -7
  Swap 67 and -7
  List after swap: [-96, 26, -9, -2, -7, 67, 80, -67, 82]
  Compare 67 and 80
  No swap needed
  Compare 80 and -67
  Swap 80 and -67
  List after swap: [-96, 26, -9, -2, -7, 67, -67, 80, 82]

Pass 3:
  Compare -96 and 26
  No swap needed
  Compare 26 and -9
  Swap 26 and -9
  List after swap: [-96, -9, 26, -2, -7, 67, -67, 80, 82]
  Compare 26 and -2
  Swap 26 and -2
  List after swap: [-96, -9, -2, 26, -7, 67, -67, 80, 82]
  Compare 26 and -7
  Swap 26 and -7
  List after swap: [-96, -9, -2, -7, 26, 67, -67, 80, 82]
  Compare 26 and 67
  No swap needed
  Compare 67 and -67
  Swap 67 and -67
  List after swap: [-96, -9, -2, -7, 26, -67, 67, 80, 82]

Pass 4:
  Compare -96 and -9
  No swap needed
  Compare -9 and -2
  No swap needed
  Compare -2 and -7
  Swap -2 and -7
  List after swap: [-96, -9, -7, -2, 26, -67, 67, 80, 82]
  Compare -2 and 26
  No swap needed
  Compare 26 and -67
  Swap 26 and -67
  List after swap: [-96, -9, -7, -2, -67, 26, 67, 80, 82]

Pass 5:
  Compare -96 and -9
  No swap needed
  Compare -9 and -7
  No swap needed
  Compare -7 and -2
  No swap needed
  Compare -2 and -67
  Swap -2 and -67
  List after swap: [-96, -9, -7, -67, -2, 26, 67, 80, 82]

Pass 6:
  Compare -96 and -9
  No swap needed
  Compare -9 and -7
  No swap needed
  Compare -7 and -67
  Swap -7 and -67
  List after swap: [-96, -9, -67, -7, -2, 26, 67, 80, 82]

Pass 7:
  Compare -96 and -9
  No swap needed
  Compare -9 and -67
  Swap -9 and -67
  List after swap: [-96, -67, -9, -7, -2, 26, 67, 80, 82]

Pass 8:
  Compare -96 and -67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -67, -9, -7, -2, 26, 67, 80, 82]
</think>

<response>-96, -67, -9, -7, -2, 26, 67, 80, 82</response>


input: Sort these integers -38, -18, -28, -46, -29 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-38, -18, -28, -46, -29]

Pass 1:
  Compare -38 and -18
  No swap needed
  Compare -18 and -28
  Swap -18 and -28
  List after swap: [-38, -28, -18, -46, -29]
  Compare -18 and -46
  Swap -18 and -46
  List after swap: [-38, -28, -46, -18, -29]
  Compare -18 and -29
  Swap -18 and -29
  List after swap: [-38, -28, -46, -29, -18]

Pass 2:
  Compare -38 and -28
  No swap needed
  Compare -28 and -46
  Swap -28 and -46
  List after swap: [-38, -46, -28, -29, -18]
  Compare -28 and -29
  Swap -28 and -29
  List after swap: [-38, -46, -29, -28, -18]

Pass 3:
  Compare -38 and -46
  Swap -38 and -46
  List after swap: [-46, -38, -29, -28, -18]
  Compare -38 and -29
  No swap needed

Pass 4:
  Compare -46 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-46, -38, -29, -28, -18]
</think>

<response>-46, -38, -29, -28, -18</response>


input: Carry out the bubble sort algorithm on -38, -69, 41, -74, -71, 60, -13 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-38, -69, 41, -74, -71, 60, -13]

Pass 1:
  Compare -38 and -69
  Swap -38 and -69
  List after swap: [-69, -38, 41, -74, -71, 60, -13]
  Compare -38 and 41
  No swap needed
  Compare 41 and -74
  Swap 41 and -74
  List after swap: [-69, -38, -74, 41, -71, 60, -13]
  Compare 41 and -71
  Swap 41 and -71
  List after swap: [-69, -38, -74, -71, 41, 60, -13]
  Compare 41 and 60
  No swap needed
  Compare 60 and -13
  Swap 60 and -13
  List after swap: [-69, -38, -74, -71, 41, -13, 60]

Pass 2:
  Compare -69 and -38
  No swap needed
  Compare -38 and -74
  Swap -38 and -74
  List after swap: [-69, -74, -38, -71, 41, -13, 60]
  Compare -38 and -71
  Swap -38 and -71
  List after swap: [-69, -74, -71, -38, 41, -13, 60]
  Compare -38 and 41
  No swap needed
  Compare 41 and -13
  Swap 41 and -13
  List after swap: [-69, -74, -71, -38, -13, 41, 60]

Pass 3:
  Compare -69 and -74
  Swap -69 and -74
  List after swap: [-74, -69, -71, -38, -13, 41, 60]
  Compare -69 and -71
  Swap -69 and -71
  List after swap: [-74, -71, -69, -38, -13, 41, 60]
  Compare -69 and -38
  No swap needed
  Compare -38 and -13
  No swap needed

Pass 4:
  Compare -74 and -71
  No swap needed
  Compare -71 and -69
  No swap needed
  Compare -69 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -71, -69, -38, -13, 41, 60]
</think>

<response>-74, -71, -69, -38, -13, 41, 60</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -78, 55, 58.

output:
<think>
Initial list: [-78, 55, 58]

Pass 1:
  Compare -78 and 55
  No swap needed
  Compare 55 and 58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, 55, 58]
</think>

<response>-78, 55, 58</response>


input: Arrange the numbers 40, 54 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [40, 54]

Pass 1:
  Compare 40 and 54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [40, 54]
</think>

<response>40, 54</response>


input: Arrange the numbers 99, -14, 89, 69, -58, -34, 46, -39, 45, -83 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [99, -14, 89, 69, -58, -34, 46, -39, 45, -83]

Pass 1:
  Compare 99 and -14
  Swap 99 and -14
  List after swap: [-14, 99, 89, 69, -58, -34, 46, -39, 45, -83]
  Compare 99 and 89
  Swap 99 and 89
  List after swap: [-14, 89, 99, 69, -58, -34, 46, -39, 45, -83]
  Compare 99 and 69
  Swap 99 and 69
  List after swap: [-14, 89, 69, 99, -58, -34, 46, -39, 45, -83]
  Compare 99 and -58
  Swap 99 and -58
  List after swap: [-14, 89, 69, -58, 99, -34, 46, -39, 45, -83]
  Compare 99 and -34
  Swap 99 and -34
  List after swap: [-14, 89, 69, -58, -34, 99, 46, -39, 45, -83]
  Compare 99 and 46
  Swap 99 and 46
  List after swap: [-14, 89, 69, -58, -34, 46, 99, -39, 45, -83]
  Compare 99 and -39
  Swap 99 and -39
  List after swap: [-14, 89, 69, -58, -34, 46, -39, 99, 45, -83]
  Compare 99 and 45
  Swap 99 and 45
  List after swap: [-14, 89, 69, -58, -34, 46, -39, 45, 99, -83]
  Compare 99 and -83
  Swap 99 and -83
  List after swap: [-14, 89, 69, -58, -34, 46, -39, 45, -83, 99]

Pass 2:
  Compare -14 and 89
  No swap needed
  Compare 89 and 69
  Swap 89 and 69
  List after swap: [-14, 69, 89, -58, -34, 46, -39, 45, -83, 99]
  Compare 89 and -58
  Swap 89 and -58
  List after swap: [-14, 69, -58, 89, -34, 46, -39, 45, -83, 99]
  Compare 89 and -34
  Swap 89 and -34
  List after swap: [-14, 69, -58, -34, 89, 46, -39, 45, -83, 99]
  Compare 89 and 46
  Swap 89 and 46
  List after swap: [-14, 69, -58, -34, 46, 89, -39, 45, -83, 99]
  Compare 89 and -39
  Swap 89 and -39
  List after swap: [-14, 69, -58, -34, 46, -39, 89, 45, -83, 99]
  Compare 89 and 45
  Swap 89 and 45
  List after swap: [-14, 69, -58, -34, 46, -39, 45, 89, -83, 99]
  Compare 89 and -83
  Swap 89 and -83
  List after swap: [-14, 69, -58, -34, 46, -39, 45, -83, 89, 99]

Pass 3:
  Compare -14 and 69
  No swap needed
  Compare 69 and -58
  Swap 69 and -58
  List after swap: [-14, -58, 69, -34, 46, -39, 45, -83, 89, 99]
  Compare 69 and -34
  Swap 69 and -34
  List after swap: [-14, -58, -34, 69, 46, -39, 45, -83, 89, 99]
  Compare 69 and 46
  Swap 69 and 46
  List after swap: [-14, -58, -34, 46, 69, -39, 45, -83, 89, 99]
  Compare 69 and -39
  Swap 69 and -39
  List after swap: [-14, -58, -34, 46, -39, 69, 45, -83, 89, 99]
  Compare 69 and 45
  Swap 69 and 45
  List after swap: [-14, -58, -34, 46, -39, 45, 69, -83, 89, 99]
  Compare 69 and -83
  Swap 69 and -83
  List after swap: [-14, -58, -34, 46, -39, 45, -83, 69, 89, 99]

Pass 4:
  Compare -14 and -58
  Swap -14 and -58
  List after swap: [-58, -14, -34, 46, -39, 45, -83, 69, 89, 99]
  Compare -14 and -34
  Swap -14 and -34
  List after swap: [-58, -34, -14, 46, -39, 45, -83, 69, 89, 99]
  Compare -14 and 46
  No swap needed
  Compare 46 and -39
  Swap 46 and -39
  List after swap: [-58, -34, -14, -39, 46, 45, -83, 69, 89, 99]
  Compare 46 and 45
  Swap 46 and 45
  List after swap: [-58, -34, -14, -39, 45, 46, -83, 69, 89, 99]
  Compare 46 and -83
  Swap 46 and -83
  List after swap: [-58, -34, -14, -39, 45, -83, 46, 69, 89, 99]

Pass 5:
  Compare -58 and -34
  No swap needed
  Compare -34 and -14
  No swap needed
  Compare -14 and -39
  Swap -14 and -39
  List after swap: [-58, -34, -39, -14, 45, -83, 46, 69, 89, 99]
  Compare -14 and 45
  No swap needed
  Compare 45 and -83
  Swap 45 and -83
  List after swap: [-58, -34, -39, -14, -83, 45, 46, 69, 89, 99]

Pass 6:
  Compare -58 and -34
  No swap needed
  Compare -34 and -39
  Swap -34 and -39
  List after swap: [-58, -39, -34, -14, -83, 45, 46, 69, 89, 99]
  Compare -34 and -14
  No swap needed
  Compare -14 and -83
  Swap -14 and -83
  List after swap: [-58, -39, -34, -83, -14, 45, 46, 69, 89, 99]

Pass 7:
  Compare -58 and -39
  No swap needed
  Compare -39 and -34
  No swap needed
  Compare -34 and -83
  Swap -34 and -83
  List after swap: [-58, -39, -83, -34, -14, 45, 46, 69, 89, 99]

Pass 8:
  Compare -58 and -39
  No swap needed
  Compare -39 and -83
  Swap -39 and -83
  List after swap: [-58, -83, -39, -34, -14, 45, 46, 69, 89, 99]

Pass 9:
  Compare -58 and -83
  Swap -58 and -83
  List after swap: [-83, -58, -39, -34, -14, 45, 46, 69, 89, 99]

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

Final sorted list: [-83, -58, -39, -34, -14, 45, 46, 69, 89, 99]
</think>

<response>-83, -58, -39, -34, -14, 45, 46, 69, 89, 99</response>


input: Using the bubble sort method, sort 40, 81, 74, 31, -27, -75, -74 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [40, 81, 74, 31, -27, -75, -74]

Pass 1:
  Compare 40 and 81
  No swap needed
  Compare 81 and 74
  Swap 81 and 74
  List after swap: [40, 74, 81, 31, -27, -75, -74]
  Compare 81 and 31
  Swap 81 and 31
  List after swap: [40, 74, 31, 81, -27, -75, -74]
  Compare 81 and -27
  Swap 81 and -27
  List after swap: [40, 74, 31, -27, 81, -75, -74]
  Compare 81 and -75
  Swap 81 and -75
  List after swap: [40, 74, 31, -27, -75, 81, -74]
  Compare 81 and -74
  Swap 81 and -74
  List after swap: [40, 74, 31, -27, -75, -74, 81]

Pass 2:
  Compare 40 and 74
  No swap needed
  Compare 74 and 31
  Swap 74 and 31
  List after swap: [40, 31, 74, -27, -75, -74, 81]
  Compare 74 and -27
  Swap 74 and -27
  List after swap: [40, 31, -27, 74, -75, -74, 81]
  Compare 74 and -75
  Swap 74 and -75
  List after swap: [40, 31, -27, -75, 74, -74, 81]
  Compare 74 and -74
  Swap 74 and -74
  List after swap: [40, 31, -27, -75, -74, 74, 81]

Pass 3:
  Compare 40 and 31
  Swap 40 and 31
  List after swap: [31, 40, -27, -75, -74, 74, 81]
  Compare 40 and -27
  Swap 40 and -27
  List after swap: [31, -27, 40, -75, -74, 74, 81]
  Compare 40 and -75
  Swap 40 and -75
  List after swap: [31, -27, -75, 40, -74, 74, 81]
  Compare 40 and -74
  Swap 40 and -74
  List after swap: [31, -27, -75, -74, 40, 74, 81]

Pass 4:
  Compare 31 and -27
  Swap 31 and -27
  List after swap: [-27, 31, -75, -74, 40, 74, 81]
  Compare 31 and -75
  Swap 31 and -75
  List after swap: [-27, -75, 31, -74, 40, 74, 81]
  Compare 31 and -74
  Swap 31 and -74
  List after swap: [-27, -75, -74, 31, 40, 74, 81]

Pass 5:
  Compare -27 and -75
  Swap -27 and -75
  List after swap: [-75, -27, -74, 31, 40, 74, 81]
  Compare -27 and -74
  Swap -27 and -74
  List after swap: [-75, -74, -27, 31, 40, 74, 81]

Pass 6:
  Compare -75 and -74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -74, -27, 31, 40, 74, 81]
</think>

<response>-75, -74, -27, 31, 40, 74, 81</response>


input: Arrange the numbers 64, -16, 90, 93, -9, 34, -45 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [64, -16, 90, 93, -9, 34, -45]

Pass 1:
  Compare 64 and -16
  Swap 64 and -16
  List after swap: [-16, 64, 90, 93, -9, 34, -45]
  Compare 64 and 90
  No swap needed
  Compare 90 and 93
  No swap needed
  Compare 93 and -9
  Swap 93 and -9
  List after swap: [-16, 64, 90, -9, 93, 34, -45]
  Compare 93 and 34
  Swap 93 and 34
  List after swap: [-16, 64, 90, -9, 34, 93, -45]
  Compare 93 and -45
  Swap 93 and -45
  List after swap: [-16, 64, 90, -9, 34, -45, 93]

Pass 2:
  Compare -16 and 64
  No swap needed
  Compare 64 and 90
  No swap needed
  Compare 90 and -9
  Swap 90 and -9
  List after swap: [-16, 64, -9, 90, 34, -45, 93]
  Compare 90 and 34
  Swap 90 and 34
  List after swap: [-16, 64, -9, 34, 90, -45, 93]
  Compare 90 and -45
  Swap 90 and -45
  List after swap: [-16, 64, -9, 34, -45, 90, 93]

Pass 3:
  Compare -16 and 64
  No swap needed
  Compare 64 and -9
  Swap 64 and -9
  List after swap: [-16, -9, 64, 34, -45, 90, 93]
  Compare 64 and 34
  Swap 64 and 34
  List after swap: [-16, -9, 34, 64, -45, 90, 93]
  Compare 64 and -45
  Swap 64 and -45
  List after swap: [-16, -9, 34, -45, 64, 90, 93]

Pass 4:
  Compare -16 and -9
  No swap needed
  Compare -9 and 34
  No swap needed
  Compare 34 and -45
  Swap 34 and -45
  List after swap: [-16, -9, -45, 34, 64, 90, 93]

Pass 5:
  Compare -16 and -9
  No swap needed
  Compare -9 and -45
  Swap -9 and -45
  List after swap: [-16, -45, -9, 34, 64, 90, 93]

Pass 6:
  Compare -16 and -45
  Swap -16 and -45
  List after swap: [-45, -16, -9, 34, 64, 90, 93]

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

Final sorted list: [-45, -16, -9, 34, 64, 90, 93]
</think>

<response>-45, -16, -9, 34, 64, 90, 93</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 54, 69, 97, 22, -3, -98, 12, 82.

output:
<think>
Initial list: [54, 69, 97, 22, -3, -98, 12, 82]

Pass 1:
  Compare 54 and 69
  No swap needed
  Compare 69 and 97
  No swap needed
  Compare 97 and 22
  Swap 97 and 22
  List after swap: [54, 69, 22, 97, -3, -98, 12, 82]
  Compare 97 and -3
  Swap 97 and -3
  List after swap: [54, 69, 22, -3, 97, -98, 12, 82]
  Compare 97 and -98
  Swap 97 and -98
  List after swap: [54, 69, 22, -3, -98, 97, 12, 82]
  Compare 97 and 12
  Swap 97 and 12
  List after swap: [54, 69, 22, -3, -98, 12, 97, 82]
  Compare 97 and 82
  Swap 97 and 82
  List after swap: [54, 69, 22, -3, -98, 12, 82, 97]

Pass 2:
  Compare 54 and 69
  No swap needed
  Compare 69 and 22
  Swap 69 and 22
  List after swap: [54, 22, 69, -3, -98, 12, 82, 97]
  Compare 69 and -3
  Swap 69 and -3
  List after swap: [54, 22, -3, 69, -98, 12, 82, 97]
  Compare 69 and -98
  Swap 69 and -98
  List after swap: [54, 22, -3, -98, 69, 12, 82, 97]
  Compare 69 and 12
  Swap 69 and 12
  List after swap: [54, 22, -3, -98, 12, 69, 82, 97]
  Compare 69 and 82
  No swap needed

Pass 3:
  Compare 54 and 22
  Swap 54 and 22
  List after swap: [22, 54, -3, -98, 12, 69, 82, 97]
  Compare 54 and -3
  Swap 54 and -3
  List after swap: [22, -3, 54, -98, 12, 69, 82, 97]
  Compare 54 and -98
  Swap 54 and -98
  List after swap: [22, -3, -98, 54, 12, 69, 82, 97]
  Compare 54 and 12
  Swap 54 and 12
  List after swap: [22, -3, -98, 12, 54, 69, 82, 97]
  Compare 54 and 69
  No swap needed

Pass 4:
  Compare 22 and -3
  Swap 22 and -3
  List after swap: [-3, 22, -98, 12, 54, 69, 82, 97]
  Compare 22 and -98
  Swap 22 and -98
  List after swap: [-3, -98, 22, 12, 54, 69, 82, 97]
  Compare 22 and 12
  Swap 22 and 12
  List after swap: [-3, -98, 12, 22, 54, 69, 82, 97]
  Compare 22 and 54
  No swap needed

Pass 5:
  Compare -3 and -98
  Swap -3 and -98
  List after swap: [-98, -3, 12, 22, 54, 69, 82, 97]
  Compare -3 and 12
  No swap needed
  Compare 12 and 22
  No swap needed

Pass 6:
  Compare -98 and -3
  No swap needed
  Compare -3 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -3, 12, 22, 54, 69, 82, 97]
</think>

<response>-98, -3, 12, 22, 54, 69, 82, 97</response>


input: Sort these integers -73, 0 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-73, 0]

Pass 1:
  Compare -73 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, 0]
</think>

<response>-73, 0</response>


input: Sort the list -43, 77, 61, -99, 57, 70, -50, 47, -95 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-43, 77, 61, -99, 57, 70, -50, 47, -95]

Pass 1:
  Compare -43 and 77
  No swap needed
  Compare 77 and 61
  Swap 77 and 61
  List after swap: [-43, 61, 77, -99, 57, 70, -50, 47, -95]
  Compare 77 and -99
  Swap 77 and -99
  List after swap: [-43, 61, -99, 77, 57, 70, -50, 47, -95]
  Compare 77 and 57
  Swap 77 and 57
  List after swap: [-43, 61, -99, 57, 77, 70, -50, 47, -95]
  Compare 77 and 70
  Swap 77 and 70
  List after swap: [-43, 61, -99, 57, 70, 77, -50, 47, -95]
  Compare 77 and -50
  Swap 77 and -50
  List after swap: [-43, 61, -99, 57, 70, -50, 77, 47, -95]
  Compare 77 and 47
  Swap 77 and 47
  List after swap: [-43, 61, -99, 57, 70, -50, 47, 77, -95]
  Compare 77 and -95
  Swap 77 and -95
  List after swap: [-43, 61, -99, 57, 70, -50, 47, -95, 77]

Pass 2:
  Compare -43 and 61
  No swap needed
  Compare 61 and -99
  Swap 61 and -99
  List after swap: [-43, -99, 61, 57, 70, -50, 47, -95, 77]
  Compare 61 and 57
  Swap 61 and 57
  List after swap: [-43, -99, 57, 61, 70, -50, 47, -95, 77]
  Compare 61 and 70
  No swap needed
  Compare 70 and -50
  Swap 70 and -50
  List after swap: [-43, -99, 57, 61, -50, 70, 47, -95, 77]
  Compare 70 and 47
  Swap 70 and 47
  List after swap: [-43, -99, 57, 61, -50, 47, 70, -95, 77]
  Compare 70 and -95
  Swap 70 and -95
  List after swap: [-43, -99, 57, 61, -50, 47, -95, 70, 77]

Pass 3:
  Compare -43 and -99
  Swap -43 and -99
  List after swap: [-99, -43, 57, 61, -50, 47, -95, 70, 77]
  Compare -43 and 57
  No swap needed
  Compare 57 and 61
  No swap needed
  Compare 61 and -50
  Swap 61 and -50
  List after swap: [-99, -43, 57, -50, 61, 47, -95, 70, 77]
  Compare 61 and 47
  Swap 61 and 47
  List after swap: [-99, -43, 57, -50, 47, 61, -95, 70, 77]
  Compare 61 and -95
  Swap 61 and -95
  List after swap: [-99, -43, 57, -50, 47, -95, 61, 70, 77]

Pass 4:
  Compare -99 and -43
  No swap needed
  Compare -43 and 57
  No swap needed
  Compare 57 and -50
  Swap 57 and -50
  List after swap: [-99, -43, -50, 57, 47, -95, 61, 70, 77]
  Compare 57 and 47
  Swap 57 and 47
  List after swap: [-99, -43, -50, 47, 57, -95, 61, 70, 77]
  Compare 57 and -95
  Swap 57 and -95
  List after swap: [-99, -43, -50, 47, -95, 57, 61, 70, 77]

Pass 5:
  Compare -99 and -43
  No swap needed
  Compare -43 and -50
  Swap -43 and -50
  List after swap: [-99, -50, -43, 47, -95, 57, 61, 70, 77]
  Compare -43 and 47
  No swap needed
  Compare 47 and -95
  Swap 47 and -95
  List after swap: [-99, -50, -43, -95, 47, 57, 61, 70, 77]

Pass 6:
  Compare -99 and -50
  No swap needed
  Compare -50 and -43
  No swap needed
  Compare -43 and -95
  Swap -43 and -95
  List after swap: [-99, -50, -95, -43, 47, 57, 61, 70, 77]

Pass 7:
  Compare -99 and -50
  No swap needed
  Compare -50 and -95
  Swap -50 and -95
  List after swap: [-99, -95, -50, -43, 47, 57, 61, 70, 77]

Pass 8:
  Compare -99 and -95
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -95, -50, -43, 47, 57, 61, 70, 77]
</think>

<response>-99, -95, -50, -43, 47, 57, 61, 70, 77</response>


input: Perform a bubble sort on the integers 48, 78, -22, 1, 45, 39, 85, -27, -35, 41, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [48, 78, -22, 1, 45, 39, 85, -27, -35, 41]

Pass 1:
  Compare 48 and 78
  No swap needed
  Compare 78 and -22
  Swap 78 and -22
  List after swap: [48, -22, 78, 1, 45, 39, 85, -27, -35, 41]
  Compare 78 and 1
  Swap 78 and 1
  List after swap: [48, -22, 1, 78, 45, 39, 85, -27, -35, 41]
  Compare 78 and 45
  Swap 78 and 45
  List after swap: [48, -22, 1, 45, 78, 39, 85, -27, -35, 41]
  Compare 78 and 39
  Swap 78 and 39
  List after swap: [48, -22, 1, 45, 39, 78, 85, -27, -35, 41]
  Compare 78 and 85
  No swap needed
  Compare 85 and -27
  Swap 85 and -27
  List after swap: [48, -22, 1, 45, 39, 78, -27, 85, -35, 41]
  Compare 85 and -35
  Swap 85 and -35
  List after swap: [48, -22, 1, 45, 39, 78, -27, -35, 85, 41]
  Compare 85 and 41
  Swap 85 and 41
  List after swap: [48, -22, 1, 45, 39, 78, -27, -35, 41, 85]

Pass 2:
  Compare 48 and -22
  Swap 48 and -22
  List after swap: [-22, 48, 1, 45, 39, 78, -27, -35, 41, 85]
  Compare 48 and 1
  Swap 48 and 1
  List after swap: [-22, 1, 48, 45, 39, 78, -27, -35, 41, 85]
  Compare 48 and 45
  Swap 48 and 45
  List after swap: [-22, 1, 45, 48, 39, 78, -27, -35, 41, 85]
  Compare 48 and 39
  Swap 48 and 39
  List after swap: [-22, 1, 45, 39, 48, 78, -27, -35, 41, 85]
  Compare 48 and 78
  No swap needed
  Compare 78 and -27
  Swap 78 and -27
  List after swap: [-22, 1, 45, 39, 48, -27, 78, -35, 41, 85]
  Compare 78 and -35
  Swap 78 and -35
  List after swap: [-22, 1, 45, 39, 48, -27, -35, 78, 41, 85]
  Compare 78 and 41
  Swap 78 and 41
  List after swap: [-22, 1, 45, 39, 48, -27, -35, 41, 78, 85]

Pass 3:
  Compare -22 and 1
  No swap needed
  Compare 1 and 45
  No swap needed
  Compare 45 and 39
  Swap 45 and 39
  List after swap: [-22, 1, 39, 45, 48, -27, -35, 41, 78, 85]
  Compare 45 and 48
  No swap needed
  Compare 48 and -27
  Swap 48 and -27
  List after swap: [-22, 1, 39, 45, -27, 48, -35, 41, 78, 85]
  Compare 48 and -35
  Swap 48 and -35
  List after swap: [-22, 1, 39, 45, -27, -35, 48, 41, 78, 85]
  Compare 48 and 41
  Swap 48 and 41
  List after swap: [-22, 1, 39, 45, -27, -35, 41, 48, 78, 85]

Pass 4:
  Compare -22 and 1
  No swap needed
  Compare 1 and 39
  No swap needed
  Compare 39 and 45
  No swap needed
  Compare 45 and -27
  Swap 45 and -27
  List after swap: [-22, 1, 39, -27, 45, -35, 41, 48, 78, 85]
  Compare 45 and -35
  Swap 45 and -35
  List after swap: [-22, 1, 39, -27, -35, 45, 41, 48, 78, 85]
  Compare 45 and 41
  Swap 45 and 41
  List after swap: [-22, 1, 39, -27, -35, 41, 45, 48, 78, 85]

Pass 5:
  Compare -22 and 1
  No swap needed
  Compare 1 and 39
  No swap needed
  Compare 39 and -27
  Swap 39 and -27
  List after swap: [-22, 1, -27, 39, -35, 41, 45, 48, 78, 85]
  Compare 39 and -35
  Swap 39 and -35
  List after swap: [-22, 1, -27, -35, 39, 41, 45, 48, 78, 85]
  Compare 39 and 41
  No swap needed

Pass 6:
  Compare -22 and 1
  No swap needed
  Compare 1 and -27
  Swap 1 and -27
  List after swap: [-22, -27, 1, -35, 39, 41, 45, 48, 78, 85]
  Compare 1 and -35
  Swap 1 and -35
  List after swap: [-22, -27, -35, 1, 39, 41, 45, 48, 78, 85]
  Compare 1 and 39
  No swap needed

Pass 7:
  Compare -22 and -27
  Swap -22 and -27
  List after swap: [-27, -22, -35, 1, 39, 41, 45, 48, 78, 85]
  Compare -22 and -35
  Swap -22 and -35
  List after swap: [-27, -35, -22, 1, 39, 41, 45, 48, 78, 85]
  Compare -22 and 1
  No swap needed

Pass 8:
  Compare -27 and -35
  Swap -27 and -35
  List after swap: [-35, -27, -22, 1, 39, 41, 45, 48, 78, 85]
  Compare -27 and -22
  No swap needed

Pass 9:
  Compare -35 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-35, -27, -22, 1, 39, 41, 45, 48, 78, 85]
</think>

<response>-35, -27, -22, 1, 39, 41, 45, 48, 78, 85</response>


input: Arrange the numbers 18, 34 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [18, 34]

Pass 1:
  Compare 18 and 34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [18, 34]
</think>

<response>18, 34</response>


input: Perform a bubble sort on the integers 22, 84, -53, -52, 38, -95, 47, -50, -47, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [22, 84, -53, -52, 38, -95, 47, -50, -47]

Pass 1:
  Compare 22 and 84
  No swap needed
  Compare 84 and -53
  Swap 84 and -53
  List after swap: [22, -53, 84, -52, 38, -95, 47, -50, -47]
  Compare 84 and -52
  Swap 84 and -52
  List after swap: [22, -53, -52, 84, 38, -95, 47, -50, -47]
  Compare 84 and 38
  Swap 84 and 38
  List after swap: [22, -53, -52, 38, 84, -95, 47, -50, -47]
  Compare 84 and -95
  Swap 84 and -95
  List after swap: [22, -53, -52, 38, -95, 84, 47, -50, -47]
  Compare 84 and 47
  Swap 84 and 47
  List after swap: [22, -53, -52, 38, -95, 47, 84, -50, -47]
  Compare 84 and -50
  Swap 84 and -50
  List after swap: [22, -53, -52, 38, -95, 47, -50, 84, -47]
  Compare 84 and -47
  Swap 84 and -47
  List after swap: [22, -53, -52, 38, -95, 47, -50, -47, 84]

Pass 2:
  Compare 22 and -53
  Swap 22 and -53
  List after swap: [-53, 22, -52, 38, -95, 47, -50, -47, 84]
  Compare 22 and -52
  Swap 22 and -52
  List after swap: [-53, -52, 22, 38, -95, 47, -50, -47, 84]
  Compare 22 and 38
  No swap needed
  Compare 38 and -95
  Swap 38 and -95
  List after swap: [-53, -52, 22, -95, 38, 47, -50, -47, 84]
  Compare 38 and 47
  No swap needed
  Compare 47 and -50
  Swap 47 and -50
  List after swap: [-53, -52, 22, -95, 38, -50, 47, -47, 84]
  Compare 47 and -47
  Swap 47 and -47
  List after swap: [-53, -52, 22, -95, 38, -50, -47, 47, 84]

Pass 3:
  Compare -53 and -52
  No swap needed
  Compare -52 and 22
  No swap needed
  Compare 22 and -95
  Swap 22 and -95
  List after swap: [-53, -52, -95, 22, 38, -50, -47, 47, 84]
  Compare 22 and 38
  No swap needed
  Compare 38 and -50
  Swap 38 and -50
  List after swap: [-53, -52, -95, 22, -50, 38, -47, 47, 84]
  Compare 38 and -47
  Swap 38 and -47
  List after swap: [-53, -52, -95, 22, -50, -47, 38, 47, 84]

Pass 4:
  Compare -53 and -52
  No swap needed
  Compare -52 and -95
  Swap -52 and -95
  List after swap: [-53, -95, -52, 22, -50, -47, 38, 47, 84]
  Compare -52 and 22
  No swap needed
  Compare 22 and -50
  Swap 22 and -50
  List after swap: [-53, -95, -52, -50, 22, -47, 38, 47, 84]
  Compare 22 and -47
  Swap 22 and -47
  List after swap: [-53, -95, -52, -50, -47, 22, 38, 47, 84]

Pass 5:
  Compare -53 and -95
  Swap -53 and -95
  List after swap: [-95, -53, -52, -50, -47, 22, 38, 47, 84]
  Compare -53 and -52
  No swap needed
  Compare -52 and -50
  No swap needed
  Compare -50 and -47
  No swap needed

Pass 6:
  Compare -95 and -53
  No swap needed
  Compare -53 and -52
  No swap needed
  Compare -52 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -53, -52, -50, -47, 22, 38, 47, 84]
</think>

<response>-95, -53, -52, -50, -47, 22, 38, 47, 84</response>


input: Carry out the bubble sort algorithm on -37, 50, 0, 36 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-37, 50, 0, 36]

Pass 1:
  Compare -37 and 50
  No swap needed
  Compare 50 and 0
  Swap 50 and 0
  List after swap: [-37, 0, 50, 36]
  Compare 50 and 36
  Swap 50 and 36
  List after swap: [-37, 0, 36, 50]

Pass 2:
  Compare -37 and 0
  No swap needed
  Compare 0 and 36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-37, 0, 36, 50]
</think>

<response>-37, 0, 36, 50</response>


input: Arrange the numbers -17, -51 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-17, -51]

Pass 1:
  Compare -17 and -51
  Swap -17 and -51
  List after swap: [-51, -17]

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

Final sorted list: [-51, -17]
</think>

<response>-51, -17</response>


input: Arrange the numbers -44, -48 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-44, -48]

Pass 1:
  Compare -44 and -48
  Swap -44 and -48
  List after swap: [-48, -44]

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

Final sorted list: [-48, -44]
</think>

<response>-48, -44</response>


input: Perform a bubble sort on the integers -1, -92, 72, -10, 71, -71, -30, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-1, -92, 72, -10, 71, -71, -30]

Pass 1:
  Compare -1 and -92
  Swap -1 and -92
  List after swap: [-92, -1, 72, -10, 71, -71, -30]
  Compare -1 and 72
  No swap needed
  Compare 72 and -10
  Swap 72 and -10
  List after swap: [-92, -1, -10, 72, 71, -71, -30]
  Compare 72 and 71
  Swap 72 and 71
  List after swap: [-92, -1, -10, 71, 72, -71, -30]
  Compare 72 and -71
  Swap 72 and -71
  List after swap: [-92, -1, -10, 71, -71, 72, -30]
  Compare 72 and -30
  Swap 72 and -30
  List after swap: [-92, -1, -10, 71, -71, -30, 72]

Pass 2:
  Compare -92 and -1
  No swap needed
  Compare -1 and -10
  Swap -1 and -10
  List after swap: [-92, -10, -1, 71, -71, -30, 72]
  Compare -1 and 71
  No swap needed
  Compare 71 and -71
  Swap 71 and -71
  List after swap: [-92, -10, -1, -71, 71, -30, 72]
  Compare 71 and -30
  Swap 71 and -30
  List after swap: [-92, -10, -1, -71, -30, 71, 72]

Pass 3:
  Compare -92 and -10
  No swap needed
  Compare -10 and -1
  No swap needed
  Compare -1 and -71
  Swap -1 and -71
  List after swap: [-92, -10, -71, -1, -30, 71, 72]
  Compare -1 and -30
  Swap -1 and -30
  List after swap: [-92, -10, -71, -30, -1, 71, 72]

Pass 4:
  Compare -92 and -10
  No swap needed
  Compare -10 and -71
  Swap -10 and -71
  List after swap: [-92, -71, -10, -30, -1, 71, 72]
  Compare -10 and -30
  Swap -10 and -30
  List after swap: [-92, -71, -30, -10, -1, 71, 72]

Pass 5:
  Compare -92 and -71
  No swap needed
  Compare -71 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -71, -30, -10, -1, 71, 72]
</think>

<response>-92, -71, -30, -10, -1, 71, 72</response>


input: Using the bubble sort method, sort -71, -47 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-71, -47]

Pass 1:
  Compare -71 and -47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -47]
</think>

<response>-71, -47</response>


input: Demonstrate how bubble sort orders the integers 85, 38 in ascending sequence, showing all steps.

output:
<think>
Initial list: [85, 38]

Pass 1:
  Compare 85 and 38
  Swap 85 and 38
  List after swap: [38, 85]

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

Final sorted list: [38, 85]
</think>

<response>38, 85</response>


input: Carry out the bubble sort algorithm on 61, -97, 9, 82 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [61, -97, 9, 82]

Pass 1:
  Compare 61 and -97
  Swap 61 and -97
  List after swap: [-97, 61, 9, 82]
  Compare 61 and 9
  Swap 61 and 9
  List after swap: [-97, 9, 61, 82]
  Compare 61 and 82
  No swap needed

Pass 2:
  Compare -97 and 9
  No swap needed
  Compare 9 and 61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, 9, 61, 82]
</think>

<response>-97, 9, 61, 82</response>


input: Sort the list 63, -1, -18, 14, -56, -58 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [63, -1, -18, 14, -56, -58]

Pass 1:
  Compare 63 and -1
  Swap 63 and -1
  List after swap: [-1, 63, -18, 14, -56, -58]
  Compare 63 and -18
  Swap 63 and -18
  List after swap: [-1, -18, 63, 14, -56, -58]
  Compare 63 and 14
  Swap 63 and 14
  List after swap: [-1, -18, 14, 63, -56, -58]
  Compare 63 and -56
  Swap 63 and -56
  List after swap: [-1, -18, 14, -56, 63, -58]
  Compare 63 and -58
  Swap 63 and -58
  List after swap: [-1, -18, 14, -56, -58, 63]

Pass 2:
  Compare -1 and -18
  Swap -1 and -18
  List after swap: [-18, -1, 14, -56, -58, 63]
  Compare -1 and 14
  No swap needed
  Compare 14 and -56
  Swap 14 and -56
  List after swap: [-18, -1, -56, 14, -58, 63]
  Compare 14 and -58
  Swap 14 and -58
  List after swap: [-18, -1, -56, -58, 14, 63]

Pass 3:
  Compare -18 and -1
  No swap needed
  Compare -1 and -56
  Swap -1 and -56
  List after swap: [-18, -56, -1, -58, 14, 63]
  Compare -1 and -58
  Swap -1 and -58
  List after swap: [-18, -56, -58, -1, 14, 63]

Pass 4:
  Compare -18 and -56
  Swap -18 and -56
  List after swap: [-56, -18, -58, -1, 14, 63]
  Compare -18 and -58
  Swap -18 and -58
  List after swap: [-56, -58, -18, -1, 14, 63]

Pass 5:
  Compare -56 and -58
  Swap -56 and -58
  List after swap: [-58, -56, -18, -1, 14, 63]

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

Final sorted list: [-58, -56, -18, -1, 14, 63]
</think>

<response>-58, -56, -18, -1, 14, 63</response>


input: Using the bubble sort method, sort -83, 62 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-83, 62]

Pass 1:
  Compare -83 and 62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, 62]
</think>

<response>-83, 62</response>