input: Sort these integers -59, -52, -99, 37, -65, -80, -6 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-59, -52, -99, 37, -65, -80, -6]

Pass 1:
  Compare -59 and -52
  No swap needed
  Compare -52 and -99
  Swap -52 and -99
  List after swap: [-59, -99, -52, 37, -65, -80, -6]
  Compare -52 and 37
  No swap needed
  Compare 37 and -65
  Swap 37 and -65
  List after swap: [-59, -99, -52, -65, 37, -80, -6]
  Compare 37 and -80
  Swap 37 and -80
  List after swap: [-59, -99, -52, -65, -80, 37, -6]
  Compare 37 and -6
  Swap 37 and -6
  List after swap: [-59, -99, -52, -65, -80, -6, 37]

Pass 2:
  Compare -59 and -99
  Swap -59 and -99
  List after swap: [-99, -59, -52, -65, -80, -6, 37]
  Compare -59 and -52
  No swap needed
  Compare -52 and -65
  Swap -52 and -65
  List after swap: [-99, -59, -65, -52, -80, -6, 37]
  Compare -52 and -80
  Swap -52 and -80
  List after swap: [-99, -59, -65, -80, -52, -6, 37]
  Compare -52 and -6
  No swap needed

Pass 3:
  Compare -99 and -59
  No swap needed
  Compare -59 and -65
  Swap -59 and -65
  List after swap: [-99, -65, -59, -80, -52, -6, 37]
  Compare -59 and -80
  Swap -59 and -80
  List after swap: [-99, -65, -80, -59, -52, -6, 37]
  Compare -59 and -52
  No swap needed

Pass 4:
  Compare -99 and -65
  No swap needed
  Compare -65 and -80
  Swap -65 and -80
  List after swap: [-99, -80, -65, -59, -52, -6, 37]
  Compare -65 and -59
  No swap needed

Pass 5:
  Compare -99 and -80
  No swap needed
  Compare -80 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -80, -65, -59, -52, -6, 37]
</think>

<response>-99, -80, -65, -59, -52, -6, 37</response>


input: Perform a bubble sort on the integers -67, -93, -68, 17, 86, 33, 6, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-67, -93, -68, 17, 86, 33, 6]

Pass 1:
  Compare -67 and -93
  Swap -67 and -93
  List after swap: [-93, -67, -68, 17, 86, 33, 6]
  Compare -67 and -68
  Swap -67 and -68
  List after swap: [-93, -68, -67, 17, 86, 33, 6]
  Compare -67 and 17
  No swap needed
  Compare 17 and 86
  No swap needed
  Compare 86 and 33
  Swap 86 and 33
  List after swap: [-93, -68, -67, 17, 33, 86, 6]
  Compare 86 and 6
  Swap 86 and 6
  List after swap: [-93, -68, -67, 17, 33, 6, 86]

Pass 2:
  Compare -93 and -68
  No swap needed
  Compare -68 and -67
  No swap needed
  Compare -67 and 17
  No swap needed
  Compare 17 and 33
  No swap needed
  Compare 33 and 6
  Swap 33 and 6
  List after swap: [-93, -68, -67, 17, 6, 33, 86]

Pass 3:
  Compare -93 and -68
  No swap needed
  Compare -68 and -67
  No swap needed
  Compare -67 and 17
  No swap needed
  Compare 17 and 6
  Swap 17 and 6
  List after swap: [-93, -68, -67, 6, 17, 33, 86]

Pass 4:
  Compare -93 and -68
  No swap needed
  Compare -68 and -67
  No swap needed
  Compare -67 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -68, -67, 6, 17, 33, 86]
</think>

<response>-93, -68, -67, 6, 17, 33, 86</response>


input: Use the bubble sort technique to reorder 92, 90, 7, 5, -98, -34, 54, 23, 14 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [92, 90, 7, 5, -98, -34, 54, 23, 14]

Pass 1:
  Compare 92 and 90
  Swap 92 and 90
  List after swap: [90, 92, 7, 5, -98, -34, 54, 23, 14]
  Compare 92 and 7
  Swap 92 and 7
  List after swap: [90, 7, 92, 5, -98, -34, 54, 23, 14]
  Compare 92 and 5
  Swap 92 and 5
  List after swap: [90, 7, 5, 92, -98, -34, 54, 23, 14]
  Compare 92 and -98
  Swap 92 and -98
  List after swap: [90, 7, 5, -98, 92, -34, 54, 23, 14]
  Compare 92 and -34
  Swap 92 and -34
  List after swap: [90, 7, 5, -98, -34, 92, 54, 23, 14]
  Compare 92 and 54
  Swap 92 and 54
  List after swap: [90, 7, 5, -98, -34, 54, 92, 23, 14]
  Compare 92 and 23
  Swap 92 and 23
  List after swap: [90, 7, 5, -98, -34, 54, 23, 92, 14]
  Compare 92 and 14
  Swap 92 and 14
  List after swap: [90, 7, 5, -98, -34, 54, 23, 14, 92]

Pass 2:
  Compare 90 and 7
  Swap 90 and 7
  List after swap: [7, 90, 5, -98, -34, 54, 23, 14, 92]
  Compare 90 and 5
  Swap 90 and 5
  List after swap: [7, 5, 90, -98, -34, 54, 23, 14, 92]
  Compare 90 and -98
  Swap 90 and -98
  List after swap: [7, 5, -98, 90, -34, 54, 23, 14, 92]
  Compare 90 and -34
  Swap 90 and -34
  List after swap: [7, 5, -98, -34, 90, 54, 23, 14, 92]
  Compare 90 and 54
  Swap 90 and 54
  List after swap: [7, 5, -98, -34, 54, 90, 23, 14, 92]
  Compare 90 and 23
  Swap 90 and 23
  List after swap: [7, 5, -98, -34, 54, 23, 90, 14, 92]
  Compare 90 and 14
  Swap 90 and 14
  List after swap: [7, 5, -98, -34, 54, 23, 14, 90, 92]

Pass 3:
  Compare 7 and 5
  Swap 7 and 5
  List after swap: [5, 7, -98, -34, 54, 23, 14, 90, 92]
  Compare 7 and -98
  Swap 7 and -98
  List after swap: [5, -98, 7, -34, 54, 23, 14, 90, 92]
  Compare 7 and -34
  Swap 7 and -34
  List after swap: [5, -98, -34, 7, 54, 23, 14, 90, 92]
  Compare 7 and 54
  No swap needed
  Compare 54 and 23
  Swap 54 and 23
  List after swap: [5, -98, -34, 7, 23, 54, 14, 90, 92]
  Compare 54 and 14
  Swap 54 and 14
  List after swap: [5, -98, -34, 7, 23, 14, 54, 90, 92]

Pass 4:
  Compare 5 and -98
  Swap 5 and -98
  List after swap: [-98, 5, -34, 7, 23, 14, 54, 90, 92]
  Compare 5 and -34
  Swap 5 and -34
  List after swap: [-98, -34, 5, 7, 23, 14, 54, 90, 92]
  Compare 5 and 7
  No swap needed
  Compare 7 and 23
  No swap needed
  Compare 23 and 14
  Swap 23 and 14
  List after swap: [-98, -34, 5, 7, 14, 23, 54, 90, 92]

Pass 5:
  Compare -98 and -34
  No swap needed
  Compare -34 and 5
  No swap needed
  Compare 5 and 7
  No swap needed
  Compare 7 and 14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -34, 5, 7, 14, 23, 54, 90, 92]
</think>

<response>-98, -34, 5, 7, 14, 23, 54, 90, 92</response>


input: Sort these integers -3, 64, -70, 1, 17 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-3, 64, -70, 1, 17]

Pass 1:
  Compare -3 and 64
  No swap needed
  Compare 64 and -70
  Swap 64 and -70
  List after swap: [-3, -70, 64, 1, 17]
  Compare 64 and 1
  Swap 64 and 1
  List after swap: [-3, -70, 1, 64, 17]
  Compare 64 and 17
  Swap 64 and 17
  List after swap: [-3, -70, 1, 17, 64]

Pass 2:
  Compare -3 and -70
  Swap -3 and -70
  List after swap: [-70, -3, 1, 17, 64]
  Compare -3 and 1
  No swap needed
  Compare 1 and 17
  No swap needed

Pass 3:
  Compare -70 and -3
  No swap needed
  Compare -3 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -3, 1, 17, 64]
</think>

<response>-70, -3, 1, 17, 64</response>


input: Perform a bubble sort on the integers 92, 79, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [92, 79]

Pass 1:
  Compare 92 and 79
  Swap 92 and 79
  List after swap: [79, 92]

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

Final sorted list: [79, 92]
</think>

<response>79, 92</response>


input: Sort the list -52, -49, 32, 8, 76 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-52, -49, 32, 8, 76]

Pass 1:
  Compare -52 and -49
  No swap needed
  Compare -49 and 32
  No swap needed
  Compare 32 and 8
  Swap 32 and 8
  List after swap: [-52, -49, 8, 32, 76]
  Compare 32 and 76
  No swap needed

Pass 2:
  Compare -52 and -49
  No swap needed
  Compare -49 and 8
  No swap needed
  Compare 8 and 32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, -49, 8, 32, 76]
</think>

<response>-52, -49, 8, 32, 76</response>


input: Sort these integers 93, 27, 5, -28, -60, -57, 91, 73, 88, 79 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [93, 27, 5, -28, -60, -57, 91, 73, 88, 79]

Pass 1:
  Compare 93 and 27
  Swap 93 and 27
  List after swap: [27, 93, 5, -28, -60, -57, 91, 73, 88, 79]
  Compare 93 and 5
  Swap 93 and 5
  List after swap: [27, 5, 93, -28, -60, -57, 91, 73, 88, 79]
  Compare 93 and -28
  Swap 93 and -28
  List after swap: [27, 5, -28, 93, -60, -57, 91, 73, 88, 79]
  Compare 93 and -60
  Swap 93 and -60
  List after swap: [27, 5, -28, -60, 93, -57, 91, 73, 88, 79]
  Compare 93 and -57
  Swap 93 and -57
  List after swap: [27, 5, -28, -60, -57, 93, 91, 73, 88, 79]
  Compare 93 and 91
  Swap 93 and 91
  List after swap: [27, 5, -28, -60, -57, 91, 93, 73, 88, 79]
  Compare 93 and 73
  Swap 93 and 73
  List after swap: [27, 5, -28, -60, -57, 91, 73, 93, 88, 79]
  Compare 93 and 88
  Swap 93 and 88
  List after swap: [27, 5, -28, -60, -57, 91, 73, 88, 93, 79]
  Compare 93 and 79
  Swap 93 and 79
  List after swap: [27, 5, -28, -60, -57, 91, 73, 88, 79, 93]

Pass 2:
  Compare 27 and 5
  Swap 27 and 5
  List after swap: [5, 27, -28, -60, -57, 91, 73, 88, 79, 93]
  Compare 27 and -28
  Swap 27 and -28
  List after swap: [5, -28, 27, -60, -57, 91, 73, 88, 79, 93]
  Compare 27 and -60
  Swap 27 and -60
  List after swap: [5, -28, -60, 27, -57, 91, 73, 88, 79, 93]
  Compare 27 and -57
  Swap 27 and -57
  List after swap: [5, -28, -60, -57, 27, 91, 73, 88, 79, 93]
  Compare 27 and 91
  No swap needed
  Compare 91 and 73
  Swap 91 and 73
  List after swap: [5, -28, -60, -57, 27, 73, 91, 88, 79, 93]
  Compare 91 and 88
  Swap 91 and 88
  List after swap: [5, -28, -60, -57, 27, 73, 88, 91, 79, 93]
  Compare 91 and 79
  Swap 91 and 79
  List after swap: [5, -28, -60, -57, 27, 73, 88, 79, 91, 93]

Pass 3:
  Compare 5 and -28
  Swap 5 and -28
  List after swap: [-28, 5, -60, -57, 27, 73, 88, 79, 91, 93]
  Compare 5 and -60
  Swap 5 and -60
  List after swap: [-28, -60, 5, -57, 27, 73, 88, 79, 91, 93]
  Compare 5 and -57
  Swap 5 and -57
  List after swap: [-28, -60, -57, 5, 27, 73, 88, 79, 91, 93]
  Compare 5 and 27
  No swap needed
  Compare 27 and 73
  No swap needed
  Compare 73 and 88
  No swap needed
  Compare 88 and 79
  Swap 88 and 79
  List after swap: [-28, -60, -57, 5, 27, 73, 79, 88, 91, 93]

Pass 4:
  Compare -28 and -60
  Swap -28 and -60
  List after swap: [-60, -28, -57, 5, 27, 73, 79, 88, 91, 93]
  Compare -28 and -57
  Swap -28 and -57
  List after swap: [-60, -57, -28, 5, 27, 73, 79, 88, 91, 93]
  Compare -28 and 5
  No swap needed
  Compare 5 and 27
  No swap needed
  Compare 27 and 73
  No swap needed
  Compare 73 and 79
  No swap needed

Pass 5:
  Compare -60 and -57
  No swap needed
  Compare -57 and -28
  No swap needed
  Compare -28 and 5
  No swap needed
  Compare 5 and 27
  No swap needed
  Compare 27 and 73
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -57, -28, 5, 27, 73, 79, 88, 91, 93]
</think>

<response>-60, -57, -28, 5, 27, 73, 79, 88, 91, 93</response>


input: Implement bubble sort on 64, 38, 11, -72 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [64, 38, 11, -72]

Pass 1:
  Compare 64 and 38
  Swap 64 and 38
  List after swap: [38, 64, 11, -72]
  Compare 64 and 11
  Swap 64 and 11
  List after swap: [38, 11, 64, -72]
  Compare 64 and -72
  Swap 64 and -72
  List after swap: [38, 11, -72, 64]

Pass 2:
  Compare 38 and 11
  Swap 38 and 11
  List after swap: [11, 38, -72, 64]
  Compare 38 and -72
  Swap 38 and -72
  List after swap: [11, -72, 38, 64]

Pass 3:
  Compare 11 and -72
  Swap 11 and -72
  List after swap: [-72, 11, 38, 64]

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

Final sorted list: [-72, 11, 38, 64]
</think>

<response>-72, 11, 38, 64</response>


input: Demonstrate how bubble sort orders the integers -86, -44, 91, 55, -72, 16, 62, 41, 33 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-86, -44, 91, 55, -72, 16, 62, 41, 33]

Pass 1:
  Compare -86 and -44
  No swap needed
  Compare -44 and 91
  No swap needed
  Compare 91 and 55
  Swap 91 and 55
  List after swap: [-86, -44, 55, 91, -72, 16, 62, 41, 33]
  Compare 91 and -72
  Swap 91 and -72
  List after swap: [-86, -44, 55, -72, 91, 16, 62, 41, 33]
  Compare 91 and 16
  Swap 91 and 16
  List after swap: [-86, -44, 55, -72, 16, 91, 62, 41, 33]
  Compare 91 and 62
  Swap 91 and 62
  List after swap: [-86, -44, 55, -72, 16, 62, 91, 41, 33]
  Compare 91 and 41
  Swap 91 and 41
  List after swap: [-86, -44, 55, -72, 16, 62, 41, 91, 33]
  Compare 91 and 33
  Swap 91 and 33
  List after swap: [-86, -44, 55, -72, 16, 62, 41, 33, 91]

Pass 2:
  Compare -86 and -44
  No swap needed
  Compare -44 and 55
  No swap needed
  Compare 55 and -72
  Swap 55 and -72
  List after swap: [-86, -44, -72, 55, 16, 62, 41, 33, 91]
  Compare 55 and 16
  Swap 55 and 16
  List after swap: [-86, -44, -72, 16, 55, 62, 41, 33, 91]
  Compare 55 and 62
  No swap needed
  Compare 62 and 41
  Swap 62 and 41
  List after swap: [-86, -44, -72, 16, 55, 41, 62, 33, 91]
  Compare 62 and 33
  Swap 62 and 33
  List after swap: [-86, -44, -72, 16, 55, 41, 33, 62, 91]

Pass 3:
  Compare -86 and -44
  No swap needed
  Compare -44 and -72
  Swap -44 and -72
  List after swap: [-86, -72, -44, 16, 55, 41, 33, 62, 91]
  Compare -44 and 16
  No swap needed
  Compare 16 and 55
  No swap needed
  Compare 55 and 41
  Swap 55 and 41
  List after swap: [-86, -72, -44, 16, 41, 55, 33, 62, 91]
  Compare 55 and 33
  Swap 55 and 33
  List after swap: [-86, -72, -44, 16, 41, 33, 55, 62, 91]

Pass 4:
  Compare -86 and -72
  No swap needed
  Compare -72 and -44
  No swap needed
  Compare -44 and 16
  No swap needed
  Compare 16 and 41
  No swap needed
  Compare 41 and 33
  Swap 41 and 33
  List after swap: [-86, -72, -44, 16, 33, 41, 55, 62, 91]

Pass 5:
  Compare -86 and -72
  No swap needed
  Compare -72 and -44
  No swap needed
  Compare -44 and 16
  No swap needed
  Compare 16 and 33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -72, -44, 16, 33, 41, 55, 62, 91]
</think>

<response>-86, -72, -44, 16, 33, 41, 55, 62, 91</response>


input: Arrange the numbers 42, 12, 30, 88, 1 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [42, 12, 30, 88, 1]

Pass 1:
  Compare 42 and 12
  Swap 42 and 12
  List after swap: [12, 42, 30, 88, 1]
  Compare 42 and 30
  Swap 42 and 30
  List after swap: [12, 30, 42, 88, 1]
  Compare 42 and 88
  No swap needed
  Compare 88 and 1
  Swap 88 and 1
  List after swap: [12, 30, 42, 1, 88]

Pass 2:
  Compare 12 and 30
  No swap needed
  Compare 30 and 42
  No swap needed
  Compare 42 and 1
  Swap 42 and 1
  List after swap: [12, 30, 1, 42, 88]

Pass 3:
  Compare 12 and 30
  No swap needed
  Compare 30 and 1
  Swap 30 and 1
  List after swap: [12, 1, 30, 42, 88]

Pass 4:
  Compare 12 and 1
  Swap 12 and 1
  List after swap: [1, 12, 30, 42, 88]

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

Final sorted list: [1, 12, 30, 42, 88]
</think>

<response>1, 12, 30, 42, 88</response>


input: Carry out the bubble sort algorithm on 62, -86, -5, 61, -12 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [62, -86, -5, 61, -12]

Pass 1:
  Compare 62 and -86
  Swap 62 and -86
  List after swap: [-86, 62, -5, 61, -12]
  Compare 62 and -5
  Swap 62 and -5
  List after swap: [-86, -5, 62, 61, -12]
  Compare 62 and 61
  Swap 62 and 61
  List after swap: [-86, -5, 61, 62, -12]
  Compare 62 and -12
  Swap 62 and -12
  List after swap: [-86, -5, 61, -12, 62]

Pass 2:
  Compare -86 and -5
  No swap needed
  Compare -5 and 61
  No swap needed
  Compare 61 and -12
  Swap 61 and -12
  List after swap: [-86, -5, -12, 61, 62]

Pass 3:
  Compare -86 and -5
  No swap needed
  Compare -5 and -12
  Swap -5 and -12
  List after swap: [-86, -12, -5, 61, 62]

Pass 4:
  Compare -86 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -12, -5, 61, 62]
</think>

<response>-86, -12, -5, 61, 62</response>


input: Implement bubble sort on -28, -93, 7, 28, 81, -42, -62, 45 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-28, -93, 7, 28, 81, -42, -62, 45]

Pass 1:
  Compare -28 and -93
  Swap -28 and -93
  List after swap: [-93, -28, 7, 28, 81, -42, -62, 45]
  Compare -28 and 7
  No swap needed
  Compare 7 and 28
  No swap needed
  Compare 28 and 81
  No swap needed
  Compare 81 and -42
  Swap 81 and -42
  List after swap: [-93, -28, 7, 28, -42, 81, -62, 45]
  Compare 81 and -62
  Swap 81 and -62
  List after swap: [-93, -28, 7, 28, -42, -62, 81, 45]
  Compare 81 and 45
  Swap 81 and 45
  List after swap: [-93, -28, 7, 28, -42, -62, 45, 81]

Pass 2:
  Compare -93 and -28
  No swap needed
  Compare -28 and 7
  No swap needed
  Compare 7 and 28
  No swap needed
  Compare 28 and -42
  Swap 28 and -42
  List after swap: [-93, -28, 7, -42, 28, -62, 45, 81]
  Compare 28 and -62
  Swap 28 and -62
  List after swap: [-93, -28, 7, -42, -62, 28, 45, 81]
  Compare 28 and 45
  No swap needed

Pass 3:
  Compare -93 and -28
  No swap needed
  Compare -28 and 7
  No swap needed
  Compare 7 and -42
  Swap 7 and -42
  List after swap: [-93, -28, -42, 7, -62, 28, 45, 81]
  Compare 7 and -62
  Swap 7 and -62
  List after swap: [-93, -28, -42, -62, 7, 28, 45, 81]
  Compare 7 and 28
  No swap needed

Pass 4:
  Compare -93 and -28
  No swap needed
  Compare -28 and -42
  Swap -28 and -42
  List after swap: [-93, -42, -28, -62, 7, 28, 45, 81]
  Compare -28 and -62
  Swap -28 and -62
  List after swap: [-93, -42, -62, -28, 7, 28, 45, 81]
  Compare -28 and 7
  No swap needed

Pass 5:
  Compare -93 and -42
  No swap needed
  Compare -42 and -62
  Swap -42 and -62
  List after swap: [-93, -62, -42, -28, 7, 28, 45, 81]
  Compare -42 and -28
  No swap needed

Pass 6:
  Compare -93 and -62
  No swap needed
  Compare -62 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -62, -42, -28, 7, 28, 45, 81]
</think>

<response>-93, -62, -42, -28, 7, 28, 45, 81</response>


input: Sort the list 25, 37, 47, -98, -2, -87, 43, -66 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [25, 37, 47, -98, -2, -87, 43, -66]

Pass 1:
  Compare 25 and 37
  No swap needed
  Compare 37 and 47
  No swap needed
  Compare 47 and -98
  Swap 47 and -98
  List after swap: [25, 37, -98, 47, -2, -87, 43, -66]
  Compare 47 and -2
  Swap 47 and -2
  List after swap: [25, 37, -98, -2, 47, -87, 43, -66]
  Compare 47 and -87
  Swap 47 and -87
  List after swap: [25, 37, -98, -2, -87, 47, 43, -66]
  Compare 47 and 43
  Swap 47 and 43
  List after swap: [25, 37, -98, -2, -87, 43, 47, -66]
  Compare 47 and -66
  Swap 47 and -66
  List after swap: [25, 37, -98, -2, -87, 43, -66, 47]

Pass 2:
  Compare 25 and 37
  No swap needed
  Compare 37 and -98
  Swap 37 and -98
  List after swap: [25, -98, 37, -2, -87, 43, -66, 47]
  Compare 37 and -2
  Swap 37 and -2
  List after swap: [25, -98, -2, 37, -87, 43, -66, 47]
  Compare 37 and -87
  Swap 37 and -87
  List after swap: [25, -98, -2, -87, 37, 43, -66, 47]
  Compare 37 and 43
  No swap needed
  Compare 43 and -66
  Swap 43 and -66
  List after swap: [25, -98, -2, -87, 37, -66, 43, 47]

Pass 3:
  Compare 25 and -98
  Swap 25 and -98
  List after swap: [-98, 25, -2, -87, 37, -66, 43, 47]
  Compare 25 and -2
  Swap 25 and -2
  List after swap: [-98, -2, 25, -87, 37, -66, 43, 47]
  Compare 25 and -87
  Swap 25 and -87
  List after swap: [-98, -2, -87, 25, 37, -66, 43, 47]
  Compare 25 and 37
  No swap needed
  Compare 37 and -66
  Swap 37 and -66
  List after swap: [-98, -2, -87, 25, -66, 37, 43, 47]

Pass 4:
  Compare -98 and -2
  No swap needed
  Compare -2 and -87
  Swap -2 and -87
  List after swap: [-98, -87, -2, 25, -66, 37, 43, 47]
  Compare -2 and 25
  No swap needed
  Compare 25 and -66
  Swap 25 and -66
  List after swap: [-98, -87, -2, -66, 25, 37, 43, 47]

Pass 5:
  Compare -98 and -87
  No swap needed
  Compare -87 and -2
  No swap needed
  Compare -2 and -66
  Swap -2 and -66
  List after swap: [-98, -87, -66, -2, 25, 37, 43, 47]

Pass 6:
  Compare -98 and -87
  No swap needed
  Compare -87 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -87, -66, -2, 25, 37, 43, 47]
</think>

<response>-98, -87, -66, -2, 25, 37, 43, 47</response>


input: Implement bubble sort on -7, 15, 77, -62, -45, 96, -36 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-7, 15, 77, -62, -45, 96, -36]

Pass 1:
  Compare -7 and 15
  No swap needed
  Compare 15 and 77
  No swap needed
  Compare 77 and -62
  Swap 77 and -62
  List after swap: [-7, 15, -62, 77, -45, 96, -36]
  Compare 77 and -45
  Swap 77 and -45
  List after swap: [-7, 15, -62, -45, 77, 96, -36]
  Compare 77 and 96
  No swap needed
  Compare 96 and -36
  Swap 96 and -36
  List after swap: [-7, 15, -62, -45, 77, -36, 96]

Pass 2:
  Compare -7 and 15
  No swap needed
  Compare 15 and -62
  Swap 15 and -62
  List after swap: [-7, -62, 15, -45, 77, -36, 96]
  Compare 15 and -45
  Swap 15 and -45
  List after swap: [-7, -62, -45, 15, 77, -36, 96]
  Compare 15 and 77
  No swap needed
  Compare 77 and -36
  Swap 77 and -36
  List after swap: [-7, -62, -45, 15, -36, 77, 96]

Pass 3:
  Compare -7 and -62
  Swap -7 and -62
  List after swap: [-62, -7, -45, 15, -36, 77, 96]
  Compare -7 and -45
  Swap -7 and -45
  List after swap: [-62, -45, -7, 15, -36, 77, 96]
  Compare -7 and 15
  No swap needed
  Compare 15 and -36
  Swap 15 and -36
  List after swap: [-62, -45, -7, -36, 15, 77, 96]

Pass 4:
  Compare -62 and -45
  No swap needed
  Compare -45 and -7
  No swap needed
  Compare -7 and -36
  Swap -7 and -36
  List after swap: [-62, -45, -36, -7, 15, 77, 96]

Pass 5:
  Compare -62 and -45
  No swap needed
  Compare -45 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -45, -36, -7, 15, 77, 96]
</think>

<response>-62, -45, -36, -7, 15, 77, 96</response>


input: Using the bubble sort method, sort -45, -44, 98, -10, -11 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-45, -44, 98, -10, -11]

Pass 1:
  Compare -45 and -44
  No swap needed
  Compare -44 and 98
  No swap needed
  Compare 98 and -10
  Swap 98 and -10
  List after swap: [-45, -44, -10, 98, -11]
  Compare 98 and -11
  Swap 98 and -11
  List after swap: [-45, -44, -10, -11, 98]

Pass 2:
  Compare -45 and -44
  No swap needed
  Compare -44 and -10
  No swap needed
  Compare -10 and -11
  Swap -10 and -11
  List after swap: [-45, -44, -11, -10, 98]

Pass 3:
  Compare -45 and -44
  No swap needed
  Compare -44 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-45, -44, -11, -10, 98]
</think>

<response>-45, -44, -11, -10, 98</response>


input: Perform a bubble sort on the integers -76, 19, -53, -34, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-76, 19, -53, -34]

Pass 1:
  Compare -76 and 19
  No swap needed
  Compare 19 and -53
  Swap 19 and -53
  List after swap: [-76, -53, 19, -34]
  Compare 19 and -34
  Swap 19 and -34
  List after swap: [-76, -53, -34, 19]

Pass 2:
  Compare -76 and -53
  No swap needed
  Compare -53 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -53, -34, 19]
</think>

<response>-76, -53, -34, 19</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 21, -22, 75, 55, -47, -99.

output:
<think>
Initial list: [21, -22, 75, 55, -47, -99]

Pass 1:
  Compare 21 and -22
  Swap 21 and -22
  List after swap: [-22, 21, 75, 55, -47, -99]
  Compare 21 and 75
  No swap needed
  Compare 75 and 55
  Swap 75 and 55
  List after swap: [-22, 21, 55, 75, -47, -99]
  Compare 75 and -47
  Swap 75 and -47
  List after swap: [-22, 21, 55, -47, 75, -99]
  Compare 75 and -99
  Swap 75 and -99
  List after swap: [-22, 21, 55, -47, -99, 75]

Pass 2:
  Compare -22 and 21
  No swap needed
  Compare 21 and 55
  No swap needed
  Compare 55 and -47
  Swap 55 and -47
  List after swap: [-22, 21, -47, 55, -99, 75]
  Compare 55 and -99
  Swap 55 and -99
  List after swap: [-22, 21, -47, -99, 55, 75]

Pass 3:
  Compare -22 and 21
  No swap needed
  Compare 21 and -47
  Swap 21 and -47
  List after swap: [-22, -47, 21, -99, 55, 75]
  Compare 21 and -99
  Swap 21 and -99
  List after swap: [-22, -47, -99, 21, 55, 75]

Pass 4:
  Compare -22 and -47
  Swap -22 and -47
  List after swap: [-47, -22, -99, 21, 55, 75]
  Compare -22 and -99
  Swap -22 and -99
  List after swap: [-47, -99, -22, 21, 55, 75]

Pass 5:
  Compare -47 and -99
  Swap -47 and -99
  List after swap: [-99, -47, -22, 21, 55, 75]

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

Final sorted list: [-99, -47, -22, 21, 55, 75]
</think>

<response>-99, -47, -22, 21, 55, 75</response>


input: Using the bubble sort method, sort -64, 67, 79, -90, -97, -22 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-64, 67, 79, -90, -97, -22]

Pass 1:
  Compare -64 and 67
  No swap needed
  Compare 67 and 79
  No swap needed
  Compare 79 and -90
  Swap 79 and -90
  List after swap: [-64, 67, -90, 79, -97, -22]
  Compare 79 and -97
  Swap 79 and -97
  List after swap: [-64, 67, -90, -97, 79, -22]
  Compare 79 and -22
  Swap 79 and -22
  List after swap: [-64, 67, -90, -97, -22, 79]

Pass 2:
  Compare -64 and 67
  No swap needed
  Compare 67 and -90
  Swap 67 and -90
  List after swap: [-64, -90, 67, -97, -22, 79]
  Compare 67 and -97
  Swap 67 and -97
  List after swap: [-64, -90, -97, 67, -22, 79]
  Compare 67 and -22
  Swap 67 and -22
  List after swap: [-64, -90, -97, -22, 67, 79]

Pass 3:
  Compare -64 and -90
  Swap -64 and -90
  List after swap: [-90, -64, -97, -22, 67, 79]
  Compare -64 and -97
  Swap -64 and -97
  List after swap: [-90, -97, -64, -22, 67, 79]
  Compare -64 and -22
  No swap needed

Pass 4:
  Compare -90 and -97
  Swap -90 and -97
  List after swap: [-97, -90, -64, -22, 67, 79]
  Compare -90 and -64
  No swap needed

Pass 5:
  Compare -97 and -90
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -90, -64, -22, 67, 79]
</think>

<response>-97, -90, -64, -22, 67, 79</response>


input: Perform a bubble sort on the integers -65, -75, -96, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-65, -75, -96]

Pass 1:
  Compare -65 and -75
  Swap -65 and -75
  List after swap: [-75, -65, -96]
  Compare -65 and -96
  Swap -65 and -96
  List after swap: [-75, -96, -65]

Pass 2:
  Compare -75 and -96
  Swap -75 and -96
  List after swap: [-96, -75, -65]

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

Final sorted list: [-96, -75, -65]
</think>

<response>-96, -75, -65</response>


input: Implement bubble sort on -63, 20, -18 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-63, 20, -18]

Pass 1:
  Compare -63 and 20
  No swap needed
  Compare 20 and -18
  Swap 20 and -18
  List after swap: [-63, -18, 20]

Pass 2:
  Compare -63 and -18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -18, 20]
</think>

<response>-63, -18, 20</response>


input: Execute bubble sort to sort 81, -52, 6, -54, -16 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [81, -52, 6, -54, -16]

Pass 1:
  Compare 81 and -52
  Swap 81 and -52
  List after swap: [-52, 81, 6, -54, -16]
  Compare 81 and 6
  Swap 81 and 6
  List after swap: [-52, 6, 81, -54, -16]
  Compare 81 and -54
  Swap 81 and -54
  List after swap: [-52, 6, -54, 81, -16]
  Compare 81 and -16
  Swap 81 and -16
  List after swap: [-52, 6, -54, -16, 81]

Pass 2:
  Compare -52 and 6
  No swap needed
  Compare 6 and -54
  Swap 6 and -54
  List after swap: [-52, -54, 6, -16, 81]
  Compare 6 and -16
  Swap 6 and -16
  List after swap: [-52, -54, -16, 6, 81]

Pass 3:
  Compare -52 and -54
  Swap -52 and -54
  List after swap: [-54, -52, -16, 6, 81]
  Compare -52 and -16
  No swap needed

Pass 4:
  Compare -54 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-54, -52, -16, 6, 81]
</think>

<response>-54, -52, -16, 6, 81</response>


input: Execute bubble sort to sort 88, 90, -91, -21, -29, -72, -25 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [88, 90, -91, -21, -29, -72, -25]

Pass 1:
  Compare 88 and 90
  No swap needed
  Compare 90 and -91
  Swap 90 and -91
  List after swap: [88, -91, 90, -21, -29, -72, -25]
  Compare 90 and -21
  Swap 90 and -21
  List after swap: [88, -91, -21, 90, -29, -72, -25]
  Compare 90 and -29
  Swap 90 and -29
  List after swap: [88, -91, -21, -29, 90, -72, -25]
  Compare 90 and -72
  Swap 90 and -72
  List after swap: [88, -91, -21, -29, -72, 90, -25]
  Compare 90 and -25
  Swap 90 and -25
  List after swap: [88, -91, -21, -29, -72, -25, 90]

Pass 2:
  Compare 88 and -91
  Swap 88 and -91
  List after swap: [-91, 88, -21, -29, -72, -25, 90]
  Compare 88 and -21
  Swap 88 and -21
  List after swap: [-91, -21, 88, -29, -72, -25, 90]
  Compare 88 and -29
  Swap 88 and -29
  List after swap: [-91, -21, -29, 88, -72, -25, 90]
  Compare 88 and -72
  Swap 88 and -72
  List after swap: [-91, -21, -29, -72, 88, -25, 90]
  Compare 88 and -25
  Swap 88 and -25
  List after swap: [-91, -21, -29, -72, -25, 88, 90]

Pass 3:
  Compare -91 and -21
  No swap needed
  Compare -21 and -29
  Swap -21 and -29
  List after swap: [-91, -29, -21, -72, -25, 88, 90]
  Compare -21 and -72
  Swap -21 and -72
  List after swap: [-91, -29, -72, -21, -25, 88, 90]
  Compare -21 and -25
  Swap -21 and -25
  List after swap: [-91, -29, -72, -25, -21, 88, 90]

Pass 4:
  Compare -91 and -29
  No swap needed
  Compare -29 and -72
  Swap -29 and -72
  List after swap: [-91, -72, -29, -25, -21, 88, 90]
  Compare -29 and -25
  No swap needed

Pass 5:
  Compare -91 and -72
  No swap needed
  Compare -72 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -72, -29, -25, -21, 88, 90]
</think>

<response>-91, -72, -29, -25, -21, 88, 90</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 25, 94.

output:
<think>
Initial list: [25, 94]

Pass 1:
  Compare 25 and 94
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [25, 94]
</think>

<response>25, 94</response>


input: Arrange the numbers -56, 83, 68, -99, 49, 72, -64, -85, 39, -57 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-56, 83, 68, -99, 49, 72, -64, -85, 39, -57]

Pass 1:
  Compare -56 and 83
  No swap needed
  Compare 83 and 68
  Swap 83 and 68
  List after swap: [-56, 68, 83, -99, 49, 72, -64, -85, 39, -57]
  Compare 83 and -99
  Swap 83 and -99
  List after swap: [-56, 68, -99, 83, 49, 72, -64, -85, 39, -57]
  Compare 83 and 49
  Swap 83 and 49
  List after swap: [-56, 68, -99, 49, 83, 72, -64, -85, 39, -57]
  Compare 83 and 72
  Swap 83 and 72
  List after swap: [-56, 68, -99, 49, 72, 83, -64, -85, 39, -57]
  Compare 83 and -64
  Swap 83 and -64
  List after swap: [-56, 68, -99, 49, 72, -64, 83, -85, 39, -57]
  Compare 83 and -85
  Swap 83 and -85
  List after swap: [-56, 68, -99, 49, 72, -64, -85, 83, 39, -57]
  Compare 83 and 39
  Swap 83 and 39
  List after swap: [-56, 68, -99, 49, 72, -64, -85, 39, 83, -57]
  Compare 83 and -57
  Swap 83 and -57
  List after swap: [-56, 68, -99, 49, 72, -64, -85, 39, -57, 83]

Pass 2:
  Compare -56 and 68
  No swap needed
  Compare 68 and -99
  Swap 68 and -99
  List after swap: [-56, -99, 68, 49, 72, -64, -85, 39, -57, 83]
  Compare 68 and 49
  Swap 68 and 49
  List after swap: [-56, -99, 49, 68, 72, -64, -85, 39, -57, 83]
  Compare 68 and 72
  No swap needed
  Compare 72 and -64
  Swap 72 and -64
  List after swap: [-56, -99, 49, 68, -64, 72, -85, 39, -57, 83]
  Compare 72 and -85
  Swap 72 and -85
  List after swap: [-56, -99, 49, 68, -64, -85, 72, 39, -57, 83]
  Compare 72 and 39
  Swap 72 and 39
  List after swap: [-56, -99, 49, 68, -64, -85, 39, 72, -57, 83]
  Compare 72 and -57
  Swap 72 and -57
  List after swap: [-56, -99, 49, 68, -64, -85, 39, -57, 72, 83]

Pass 3:
  Compare -56 and -99
  Swap -56 and -99
  List after swap: [-99, -56, 49, 68, -64, -85, 39, -57, 72, 83]
  Compare -56 and 49
  No swap needed
  Compare 49 and 68
  No swap needed
  Compare 68 and -64
  Swap 68 and -64
  List after swap: [-99, -56, 49, -64, 68, -85, 39, -57, 72, 83]
  Compare 68 and -85
  Swap 68 and -85
  List after swap: [-99, -56, 49, -64, -85, 68, 39, -57, 72, 83]
  Compare 68 and 39
  Swap 68 and 39
  List after swap: [-99, -56, 49, -64, -85, 39, 68, -57, 72, 83]
  Compare 68 and -57
  Swap 68 and -57
  List after swap: [-99, -56, 49, -64, -85, 39, -57, 68, 72, 83]

Pass 4:
  Compare -99 and -56
  No swap needed
  Compare -56 and 49
  No swap needed
  Compare 49 and -64
  Swap 49 and -64
  List after swap: [-99, -56, -64, 49, -85, 39, -57, 68, 72, 83]
  Compare 49 and -85
  Swap 49 and -85
  List after swap: [-99, -56, -64, -85, 49, 39, -57, 68, 72, 83]
  Compare 49 and 39
  Swap 49 and 39
  List after swap: [-99, -56, -64, -85, 39, 49, -57, 68, 72, 83]
  Compare 49 and -57
  Swap 49 and -57
  List after swap: [-99, -56, -64, -85, 39, -57, 49, 68, 72, 83]

Pass 5:
  Compare -99 and -56
  No swap needed
  Compare -56 and -64
  Swap -56 and -64
  List after swap: [-99, -64, -56, -85, 39, -57, 49, 68, 72, 83]
  Compare -56 and -85
  Swap -56 and -85
  List after swap: [-99, -64, -85, -56, 39, -57, 49, 68, 72, 83]
  Compare -56 and 39
  No swap needed
  Compare 39 and -57
  Swap 39 and -57
  List after swap: [-99, -64, -85, -56, -57, 39, 49, 68, 72, 83]

Pass 6:
  Compare -99 and -64
  No swap needed
  Compare -64 and -85
  Swap -64 and -85
  List after swap: [-99, -85, -64, -56, -57, 39, 49, 68, 72, 83]
  Compare -64 and -56
  No swap needed
  Compare -56 and -57
  Swap -56 and -57
  List after swap: [-99, -85, -64, -57, -56, 39, 49, 68, 72, 83]

Pass 7:
  Compare -99 and -85
  No swap needed
  Compare -85 and -64
  No swap needed
  Compare -64 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -85, -64, -57, -56, 39, 49, 68, 72, 83]
</think>

<response>-99, -85, -64, -57, -56, 39, 49, 68, 72, 83</response>


input: Demonstrate how bubble sort orders the integers -13, -45, 75, -84, 65 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-13, -45, 75, -84, 65]

Pass 1:
  Compare -13 and -45
  Swap -13 and -45
  List after swap: [-45, -13, 75, -84, 65]
  Compare -13 and 75
  No swap needed
  Compare 75 and -84
  Swap 75 and -84
  List after swap: [-45, -13, -84, 75, 65]
  Compare 75 and 65
  Swap 75 and 65
  List after swap: [-45, -13, -84, 65, 75]

Pass 2:
  Compare -45 and -13
  No swap needed
  Compare -13 and -84
  Swap -13 and -84
  List after swap: [-45, -84, -13, 65, 75]
  Compare -13 and 65
  No swap needed

Pass 3:
  Compare -45 and -84
  Swap -45 and -84
  List after swap: [-84, -45, -13, 65, 75]
  Compare -45 and -13
  No swap needed

Pass 4:
  Compare -84 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -45, -13, 65, 75]
</think>

<response>-84, -45, -13, 65, 75</response>


input: Sort these integers -65, -32, -37, -74, -90, -31, -52, 90, 43, -57 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-65, -32, -37, -74, -90, -31, -52, 90, 43, -57]

Pass 1:
  Compare -65 and -32
  No swap needed
  Compare -32 and -37
  Swap -32 and -37
  List after swap: [-65, -37, -32, -74, -90, -31, -52, 90, 43, -57]
  Compare -32 and -74
  Swap -32 and -74
  List after swap: [-65, -37, -74, -32, -90, -31, -52, 90, 43, -57]
  Compare -32 and -90
  Swap -32 and -90
  List after swap: [-65, -37, -74, -90, -32, -31, -52, 90, 43, -57]
  Compare -32 and -31
  No swap needed
  Compare -31 and -52
  Swap -31 and -52
  List after swap: [-65, -37, -74, -90, -32, -52, -31, 90, 43, -57]
  Compare -31 and 90
  No swap needed
  Compare 90 and 43
  Swap 90 and 43
  List after swap: [-65, -37, -74, -90, -32, -52, -31, 43, 90, -57]
  Compare 90 and -57
  Swap 90 and -57
  List after swap: [-65, -37, -74, -90, -32, -52, -31, 43, -57, 90]

Pass 2:
  Compare -65 and -37
  No swap needed
  Compare -37 and -74
  Swap -37 and -74
  List after swap: [-65, -74, -37, -90, -32, -52, -31, 43, -57, 90]
  Compare -37 and -90
  Swap -37 and -90
  List after swap: [-65, -74, -90, -37, -32, -52, -31, 43, -57, 90]
  Compare -37 and -32
  No swap needed
  Compare -32 and -52
  Swap -32 and -52
  List after swap: [-65, -74, -90, -37, -52, -32, -31, 43, -57, 90]
  Compare -32 and -31
  No swap needed
  Compare -31 and 43
  No swap needed
  Compare 43 and -57
  Swap 43 and -57
  List after swap: [-65, -74, -90, -37, -52, -32, -31, -57, 43, 90]

Pass 3:
  Compare -65 and -74
  Swap -65 and -74
  List after swap: [-74, -65, -90, -37, -52, -32, -31, -57, 43, 90]
  Compare -65 and -90
  Swap -65 and -90
  List after swap: [-74, -90, -65, -37, -52, -32, -31, -57, 43, 90]
  Compare -65 and -37
  No swap needed
  Compare -37 and -52
  Swap -37 and -52
  List after swap: [-74, -90, -65, -52, -37, -32, -31, -57, 43, 90]
  Compare -37 and -32
  No swap needed
  Compare -32 and -31
  No swap needed
  Compare -31 and -57
  Swap -31 and -57
  List after swap: [-74, -90, -65, -52, -37, -32, -57, -31, 43, 90]

Pass 4:
  Compare -74 and -90
  Swap -74 and -90
  List after swap: [-90, -74, -65, -52, -37, -32, -57, -31, 43, 90]
  Compare -74 and -65
  No swap needed
  Compare -65 and -52
  No swap needed
  Compare -52 and -37
  No swap needed
  Compare -37 and -32
  No swap needed
  Compare -32 and -57
  Swap -32 and -57
  List after swap: [-90, -74, -65, -52, -37, -57, -32, -31, 43, 90]

Pass 5:
  Compare -90 and -74
  No swap needed
  Compare -74 and -65
  No swap needed
  Compare -65 and -52
  No swap needed
  Compare -52 and -37
  No swap needed
  Compare -37 and -57
  Swap -37 and -57
  List after swap: [-90, -74, -65, -52, -57, -37, -32, -31, 43, 90]

Pass 6:
  Compare -90 and -74
  No swap needed
  Compare -74 and -65
  No swap needed
  Compare -65 and -52
  No swap needed
  Compare -52 and -57
  Swap -52 and -57
  List after swap: [-90, -74, -65, -57, -52, -37, -32, -31, 43, 90]

Pass 7:
  Compare -90 and -74
  No swap needed
  Compare -74 and -65
  No swap needed
  Compare -65 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -74, -65, -57, -52, -37, -32, -31, 43, 90]
</think>

<response>-90, -74, -65, -57, -52, -37, -32, -31, 43, 90</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 40, 58, -13, 53, -54, -88, -95, 61, -15.

output:
<think>
Initial list: [40, 58, -13, 53, -54, -88, -95, 61, -15]

Pass 1:
  Compare 40 and 58
  No swap needed
  Compare 58 and -13
  Swap 58 and -13
  List after swap: [40, -13, 58, 53, -54, -88, -95, 61, -15]
  Compare 58 and 53
  Swap 58 and 53
  List after swap: [40, -13, 53, 58, -54, -88, -95, 61, -15]
  Compare 58 and -54
  Swap 58 and -54
  List after swap: [40, -13, 53, -54, 58, -88, -95, 61, -15]
  Compare 58 and -88
  Swap 58 and -88
  List after swap: [40, -13, 53, -54, -88, 58, -95, 61, -15]
  Compare 58 and -95
  Swap 58 and -95
  List after swap: [40, -13, 53, -54, -88, -95, 58, 61, -15]
  Compare 58 and 61
  No swap needed
  Compare 61 and -15
  Swap 61 and -15
  List after swap: [40, -13, 53, -54, -88, -95, 58, -15, 61]

Pass 2:
  Compare 40 and -13
  Swap 40 and -13
  List after swap: [-13, 40, 53, -54, -88, -95, 58, -15, 61]
  Compare 40 and 53
  No swap needed
  Compare 53 and -54
  Swap 53 and -54
  List after swap: [-13, 40, -54, 53, -88, -95, 58, -15, 61]
  Compare 53 and -88
  Swap 53 and -88
  List after swap: [-13, 40, -54, -88, 53, -95, 58, -15, 61]
  Compare 53 and -95
  Swap 53 and -95
  List after swap: [-13, 40, -54, -88, -95, 53, 58, -15, 61]
  Compare 53 and 58
  No swap needed
  Compare 58 and -15
  Swap 58 and -15
  List after swap: [-13, 40, -54, -88, -95, 53, -15, 58, 61]

Pass 3:
  Compare -13 and 40
  No swap needed
  Compare 40 and -54
  Swap 40 and -54
  List after swap: [-13, -54, 40, -88, -95, 53, -15, 58, 61]
  Compare 40 and -88
  Swap 40 and -88
  List after swap: [-13, -54, -88, 40, -95, 53, -15, 58, 61]
  Compare 40 and -95
  Swap 40 and -95
  List after swap: [-13, -54, -88, -95, 40, 53, -15, 58, 61]
  Compare 40 and 53
  No swap needed
  Compare 53 and -15
  Swap 53 and -15
  List after swap: [-13, -54, -88, -95, 40, -15, 53, 58, 61]

Pass 4:
  Compare -13 and -54
  Swap -13 and -54
  List after swap: [-54, -13, -88, -95, 40, -15, 53, 58, 61]
  Compare -13 and -88
  Swap -13 and -88
  List after swap: [-54, -88, -13, -95, 40, -15, 53, 58, 61]
  Compare -13 and -95
  Swap -13 and -95
  List after swap: [-54, -88, -95, -13, 40, -15, 53, 58, 61]
  Compare -13 and 40
  No swap needed
  Compare 40 and -15
  Swap 40 and -15
  List after swap: [-54, -88, -95, -13, -15, 40, 53, 58, 61]

Pass 5:
  Compare -54 and -88
  Swap -54 and -88
  List after swap: [-88, -54, -95, -13, -15, 40, 53, 58, 61]
  Compare -54 and -95
  Swap -54 and -95
  List after swap: [-88, -95, -54, -13, -15, 40, 53, 58, 61]
  Compare -54 and -13
  No swap needed
  Compare -13 and -15
  Swap -13 and -15
  List after swap: [-88, -95, -54, -15, -13, 40, 53, 58, 61]

Pass 6:
  Compare -88 and -95
  Swap -88 and -95
  List after swap: [-95, -88, -54, -15, -13, 40, 53, 58, 61]
  Compare -88 and -54
  No swap needed
  Compare -54 and -15
  No swap needed

Pass 7:
  Compare -95 and -88
  No swap needed
  Compare -88 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -88, -54, -15, -13, 40, 53, 58, 61]
</think>

<response>-95, -88, -54, -15, -13, 40, 53, 58, 61</response>


input: Execute bubble sort to sort -55, 35, -73, -83, -80, -99, -61, 62 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-55, 35, -73, -83, -80, -99, -61, 62]

Pass 1:
  Compare -55 and 35
  No swap needed
  Compare 35 and -73
  Swap 35 and -73
  List after swap: [-55, -73, 35, -83, -80, -99, -61, 62]
  Compare 35 and -83
  Swap 35 and -83
  List after swap: [-55, -73, -83, 35, -80, -99, -61, 62]
  Compare 35 and -80
  Swap 35 and -80
  List after swap: [-55, -73, -83, -80, 35, -99, -61, 62]
  Compare 35 and -99
  Swap 35 and -99
  List after swap: [-55, -73, -83, -80, -99, 35, -61, 62]
  Compare 35 and -61
  Swap 35 and -61
  List after swap: [-55, -73, -83, -80, -99, -61, 35, 62]
  Compare 35 and 62
  No swap needed

Pass 2:
  Compare -55 and -73
  Swap -55 and -73
  List after swap: [-73, -55, -83, -80, -99, -61, 35, 62]
  Compare -55 and -83
  Swap -55 and -83
  List after swap: [-73, -83, -55, -80, -99, -61, 35, 62]
  Compare -55 and -80
  Swap -55 and -80
  List after swap: [-73, -83, -80, -55, -99, -61, 35, 62]
  Compare -55 and -99
  Swap -55 and -99
  List after swap: [-73, -83, -80, -99, -55, -61, 35, 62]
  Compare -55 and -61
  Swap -55 and -61
  List after swap: [-73, -83, -80, -99, -61, -55, 35, 62]
  Compare -55 and 35
  No swap needed

Pass 3:
  Compare -73 and -83
  Swap -73 and -83
  List after swap: [-83, -73, -80, -99, -61, -55, 35, 62]
  Compare -73 and -80
  Swap -73 and -80
  List after swap: [-83, -80, -73, -99, -61, -55, 35, 62]
  Compare -73 and -99
  Swap -73 and -99
  List after swap: [-83, -80, -99, -73, -61, -55, 35, 62]
  Compare -73 and -61
  No swap needed
  Compare -61 and -55
  No swap needed

Pass 4:
  Compare -83 and -80
  No swap needed
  Compare -80 and -99
  Swap -80 and -99
  List after swap: [-83, -99, -80, -73, -61, -55, 35, 62]
  Compare -80 and -73
  No swap needed
  Compare -73 and -61
  No swap needed

Pass 5:
  Compare -83 and -99
  Swap -83 and -99
  List after swap: [-99, -83, -80, -73, -61, -55, 35, 62]
  Compare -83 and -80
  No swap needed
  Compare -80 and -73
  No swap needed

Pass 6:
  Compare -99 and -83
  No swap needed
  Compare -83 and -80
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -83, -80, -73, -61, -55, 35, 62]
</think>

<response>-99, -83, -80, -73, -61, -55, 35, 62</response>


input: Implement bubble sort on -33, -20, -88 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-33, -20, -88]

Pass 1:
  Compare -33 and -20
  No swap needed
  Compare -20 and -88
  Swap -20 and -88
  List after swap: [-33, -88, -20]

Pass 2:
  Compare -33 and -88
  Swap -33 and -88
  List after swap: [-88, -33, -20]

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

Final sorted list: [-88, -33, -20]
</think>

<response>-88, -33, -20</response>


input: Perform a bubble sort on the integers 57, -21, -3, -14, 35, -52, -60, -84, 63, -91, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [57, -21, -3, -14, 35, -52, -60, -84, 63, -91]

Pass 1:
  Compare 57 and -21
  Swap 57 and -21
  List after swap: [-21, 57, -3, -14, 35, -52, -60, -84, 63, -91]
  Compare 57 and -3
  Swap 57 and -3
  List after swap: [-21, -3, 57, -14, 35, -52, -60, -84, 63, -91]
  Compare 57 and -14
  Swap 57 and -14
  List after swap: [-21, -3, -14, 57, 35, -52, -60, -84, 63, -91]
  Compare 57 and 35
  Swap 57 and 35
  List after swap: [-21, -3, -14, 35, 57, -52, -60, -84, 63, -91]
  Compare 57 and -52
  Swap 57 and -52
  List after swap: [-21, -3, -14, 35, -52, 57, -60, -84, 63, -91]
  Compare 57 and -60
  Swap 57 and -60
  List after swap: [-21, -3, -14, 35, -52, -60, 57, -84, 63, -91]
  Compare 57 and -84
  Swap 57 and -84
  List after swap: [-21, -3, -14, 35, -52, -60, -84, 57, 63, -91]
  Compare 57 and 63
  No swap needed
  Compare 63 and -91
  Swap 63 and -91
  List after swap: [-21, -3, -14, 35, -52, -60, -84, 57, -91, 63]

Pass 2:
  Compare -21 and -3
  No swap needed
  Compare -3 and -14
  Swap -3 and -14
  List after swap: [-21, -14, -3, 35, -52, -60, -84, 57, -91, 63]
  Compare -3 and 35
  No swap needed
  Compare 35 and -52
  Swap 35 and -52
  List after swap: [-21, -14, -3, -52, 35, -60, -84, 57, -91, 63]
  Compare 35 and -60
  Swap 35 and -60
  List after swap: [-21, -14, -3, -52, -60, 35, -84, 57, -91, 63]
  Compare 35 and -84
  Swap 35 and -84
  List after swap: [-21, -14, -3, -52, -60, -84, 35, 57, -91, 63]
  Compare 35 and 57
  No swap needed
  Compare 57 and -91
  Swap 57 and -91
  List after swap: [-21, -14, -3, -52, -60, -84, 35, -91, 57, 63]

Pass 3:
  Compare -21 and -14
  No swap needed
  Compare -14 and -3
  No swap needed
  Compare -3 and -52
  Swap -3 and -52
  List after swap: [-21, -14, -52, -3, -60, -84, 35, -91, 57, 63]
  Compare -3 and -60
  Swap -3 and -60
  List after swap: [-21, -14, -52, -60, -3, -84, 35, -91, 57, 63]
  Compare -3 and -84
  Swap -3 and -84
  List after swap: [-21, -14, -52, -60, -84, -3, 35, -91, 57, 63]
  Compare -3 and 35
  No swap needed
  Compare 35 and -91
  Swap 35 and -91
  List after swap: [-21, -14, -52, -60, -84, -3, -91, 35, 57, 63]

Pass 4:
  Compare -21 and -14
  No swap needed
  Compare -14 and -52
  Swap -14 and -52
  List after swap: [-21, -52, -14, -60, -84, -3, -91, 35, 57, 63]
  Compare -14 and -60
  Swap -14 and -60
  List after swap: [-21, -52, -60, -14, -84, -3, -91, 35, 57, 63]
  Compare -14 and -84
  Swap -14 and -84
  List after swap: [-21, -52, -60, -84, -14, -3, -91, 35, 57, 63]
  Compare -14 and -3
  No swap needed
  Compare -3 and -91
  Swap -3 and -91
  List after swap: [-21, -52, -60, -84, -14, -91, -3, 35, 57, 63]

Pass 5:
  Compare -21 and -52
  Swap -21 and -52
  List after swap: [-52, -21, -60, -84, -14, -91, -3, 35, 57, 63]
  Compare -21 and -60
  Swap -21 and -60
  List after swap: [-52, -60, -21, -84, -14, -91, -3, 35, 57, 63]
  Compare -21 and -84
  Swap -21 and -84
  List after swap: [-52, -60, -84, -21, -14, -91, -3, 35, 57, 63]
  Compare -21 and -14
  No swap needed
  Compare -14 and -91
  Swap -14 and -91
  List after swap: [-52, -60, -84, -21, -91, -14, -3, 35, 57, 63]

Pass 6:
  Compare -52 and -60
  Swap -52 and -60
  List after swap: [-60, -52, -84, -21, -91, -14, -3, 35, 57, 63]
  Compare -52 and -84
  Swap -52 and -84
  List after swap: [-60, -84, -52, -21, -91, -14, -3, 35, 57, 63]
  Compare -52 and -21
  No swap needed
  Compare -21 and -91
  Swap -21 and -91
  List after swap: [-60, -84, -52, -91, -21, -14, -3, 35, 57, 63]

Pass 7:
  Compare -60 and -84
  Swap -60 and -84
  List after swap: [-84, -60, -52, -91, -21, -14, -3, 35, 57, 63]
  Compare -60 and -52
  No swap needed
  Compare -52 and -91
  Swap -52 and -91
  List after swap: [-84, -60, -91, -52, -21, -14, -3, 35, 57, 63]

Pass 8:
  Compare -84 and -60
  No swap needed
  Compare -60 and -91
  Swap -60 and -91
  List after swap: [-84, -91, -60, -52, -21, -14, -3, 35, 57, 63]

Pass 9:
  Compare -84 and -91
  Swap -84 and -91
  List after swap: [-91, -84, -60, -52, -21, -14, -3, 35, 57, 63]

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

Final sorted list: [-91, -84, -60, -52, -21, -14, -3, 35, 57, 63]
</think>

<response>-91, -84, -60, -52, -21, -14, -3, 35, 57, 63</response>


input: Perform a bubble sort on the integers -8, -74, -12, -57, 54, -39, 16, 41, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-8, -74, -12, -57, 54, -39, 16, 41]

Pass 1:
  Compare -8 and -74
  Swap -8 and -74
  List after swap: [-74, -8, -12, -57, 54, -39, 16, 41]
  Compare -8 and -12
  Swap -8 and -12
  List after swap: [-74, -12, -8, -57, 54, -39, 16, 41]
  Compare -8 and -57
  Swap -8 and -57
  List after swap: [-74, -12, -57, -8, 54, -39, 16, 41]
  Compare -8 and 54
  No swap needed
  Compare 54 and -39
  Swap 54 and -39
  List after swap: [-74, -12, -57, -8, -39, 54, 16, 41]
  Compare 54 and 16
  Swap 54 and 16
  List after swap: [-74, -12, -57, -8, -39, 16, 54, 41]
  Compare 54 and 41
  Swap 54 and 41
  List after swap: [-74, -12, -57, -8, -39, 16, 41, 54]

Pass 2:
  Compare -74 and -12
  No swap needed
  Compare -12 and -57
  Swap -12 and -57
  List after swap: [-74, -57, -12, -8, -39, 16, 41, 54]
  Compare -12 and -8
  No swap needed
  Compare -8 and -39
  Swap -8 and -39
  List after swap: [-74, -57, -12, -39, -8, 16, 41, 54]
  Compare -8 and 16
  No swap needed
  Compare 16 and 41
  No swap needed

Pass 3:
  Compare -74 and -57
  No swap needed
  Compare -57 and -12
  No swap needed
  Compare -12 and -39
  Swap -12 and -39
  List after swap: [-74, -57, -39, -12, -8, 16, 41, 54]
  Compare -12 and -8
  No swap needed
  Compare -8 and 16
  No swap needed

Pass 4:
  Compare -74 and -57
  No swap needed
  Compare -57 and -39
  No swap needed
  Compare -39 and -12
  No swap needed
  Compare -12 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -57, -39, -12, -8, 16, 41, 54]
</think>

<response>-74, -57, -39, -12, -8, 16, 41, 54</response>


input: Sort the list -32, 49, 51, 15, -49, -96, -84, 75 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-32, 49, 51, 15, -49, -96, -84, 75]

Pass 1:
  Compare -32 and 49
  No swap needed
  Compare 49 and 51
  No swap needed
  Compare 51 and 15
  Swap 51 and 15
  List after swap: [-32, 49, 15, 51, -49, -96, -84, 75]
  Compare 51 and -49
  Swap 51 and -49
  List after swap: [-32, 49, 15, -49, 51, -96, -84, 75]
  Compare 51 and -96
  Swap 51 and -96
  List after swap: [-32, 49, 15, -49, -96, 51, -84, 75]
  Compare 51 and -84
  Swap 51 and -84
  List after swap: [-32, 49, 15, -49, -96, -84, 51, 75]
  Compare 51 and 75
  No swap needed

Pass 2:
  Compare -32 and 49
  No swap needed
  Compare 49 and 15
  Swap 49 and 15
  List after swap: [-32, 15, 49, -49, -96, -84, 51, 75]
  Compare 49 and -49
  Swap 49 and -49
  List after swap: [-32, 15, -49, 49, -96, -84, 51, 75]
  Compare 49 and -96
  Swap 49 and -96
  List after swap: [-32, 15, -49, -96, 49, -84, 51, 75]
  Compare 49 and -84
  Swap 49 and -84
  List after swap: [-32, 15, -49, -96, -84, 49, 51, 75]
  Compare 49 and 51
  No swap needed

Pass 3:
  Compare -32 and 15
  No swap needed
  Compare 15 and -49
  Swap 15 and -49
  List after swap: [-32, -49, 15, -96, -84, 49, 51, 75]
  Compare 15 and -96
  Swap 15 and -96
  List after swap: [-32, -49, -96, 15, -84, 49, 51, 75]
  Compare 15 and -84
  Swap 15 and -84
  List after swap: [-32, -49, -96, -84, 15, 49, 51, 75]
  Compare 15 and 49
  No swap needed

Pass 4:
  Compare -32 and -49
  Swap -32 and -49
  List after swap: [-49, -32, -96, -84, 15, 49, 51, 75]
  Compare -32 and -96
  Swap -32 and -96
  List after swap: [-49, -96, -32, -84, 15, 49, 51, 75]
  Compare -32 and -84
  Swap -32 and -84
  List after swap: [-49, -96, -84, -32, 15, 49, 51, 75]
  Compare -32 and 15
  No swap needed

Pass 5:
  Compare -49 and -96
  Swap -49 and -96
  List after swap: [-96, -49, -84, -32, 15, 49, 51, 75]
  Compare -49 and -84
  Swap -49 and -84
  List after swap: [-96, -84, -49, -32, 15, 49, 51, 75]
  Compare -49 and -32
  No swap needed

Pass 6:
  Compare -96 and -84
  No swap needed
  Compare -84 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -84, -49, -32, 15, 49, 51, 75]
</think>

<response>-96, -84, -49, -32, 15, 49, 51, 75</response>


input: Using the bubble sort method, sort -16, 29, -58, -32, -27, -78 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-16, 29, -58, -32, -27, -78]

Pass 1:
  Compare -16 and 29
  No swap needed
  Compare 29 and -58
  Swap 29 and -58
  List after swap: [-16, -58, 29, -32, -27, -78]
  Compare 29 and -32
  Swap 29 and -32
  List after swap: [-16, -58, -32, 29, -27, -78]
  Compare 29 and -27
  Swap 29 and -27
  List after swap: [-16, -58, -32, -27, 29, -78]
  Compare 29 and -78
  Swap 29 and -78
  List after swap: [-16, -58, -32, -27, -78, 29]

Pass 2:
  Compare -16 and -58
  Swap -16 and -58
  List after swap: [-58, -16, -32, -27, -78, 29]
  Compare -16 and -32
  Swap -16 and -32
  List after swap: [-58, -32, -16, -27, -78, 29]
  Compare -16 and -27
  Swap -16 and -27
  List after swap: [-58, -32, -27, -16, -78, 29]
  Compare -16 and -78
  Swap -16 and -78
  List after swap: [-58, -32, -27, -78, -16, 29]

Pass 3:
  Compare -58 and -32
  No swap needed
  Compare -32 and -27
  No swap needed
  Compare -27 and -78
  Swap -27 and -78
  List after swap: [-58, -32, -78, -27, -16, 29]

Pass 4:
  Compare -58 and -32
  No swap needed
  Compare -32 and -78
  Swap -32 and -78
  List after swap: [-58, -78, -32, -27, -16, 29]

Pass 5:
  Compare -58 and -78
  Swap -58 and -78
  List after swap: [-78, -58, -32, -27, -16, 29]

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

Final sorted list: [-78, -58, -32, -27, -16, 29]
</think>

<response>-78, -58, -32, -27, -16, 29</response>


input: Perform a bubble sort on the integers -86, -30, 79, -67, -38, -81, -36, -29, -98, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-86, -30, 79, -67, -38, -81, -36, -29, -98]

Pass 1:
  Compare -86 and -30
  No swap needed
  Compare -30 and 79
  No swap needed
  Compare 79 and -67
  Swap 79 and -67
  List after swap: [-86, -30, -67, 79, -38, -81, -36, -29, -98]
  Compare 79 and -38
  Swap 79 and -38
  List after swap: [-86, -30, -67, -38, 79, -81, -36, -29, -98]
  Compare 79 and -81
  Swap 79 and -81
  List after swap: [-86, -30, -67, -38, -81, 79, -36, -29, -98]
  Compare 79 and -36
  Swap 79 and -36
  List after swap: [-86, -30, -67, -38, -81, -36, 79, -29, -98]
  Compare 79 and -29
  Swap 79 and -29
  List after swap: [-86, -30, -67, -38, -81, -36, -29, 79, -98]
  Compare 79 and -98
  Swap 79 and -98
  List after swap: [-86, -30, -67, -38, -81, -36, -29, -98, 79]

Pass 2:
  Compare -86 and -30
  No swap needed
  Compare -30 and -67
  Swap -30 and -67
  List after swap: [-86, -67, -30, -38, -81, -36, -29, -98, 79]
  Compare -30 and -38
  Swap -30 and -38
  List after swap: [-86, -67, -38, -30, -81, -36, -29, -98, 79]
  Compare -30 and -81
  Swap -30 and -81
  List after swap: [-86, -67, -38, -81, -30, -36, -29, -98, 79]
  Compare -30 and -36
  Swap -30 and -36
  List after swap: [-86, -67, -38, -81, -36, -30, -29, -98, 79]
  Compare -30 and -29
  No swap needed
  Compare -29 and -98
  Swap -29 and -98
  List after swap: [-86, -67, -38, -81, -36, -30, -98, -29, 79]

Pass 3:
  Compare -86 and -67
  No swap needed
  Compare -67 and -38
  No swap needed
  Compare -38 and -81
  Swap -38 and -81
  List after swap: [-86, -67, -81, -38, -36, -30, -98, -29, 79]
  Compare -38 and -36
  No swap needed
  Compare -36 and -30
  No swap needed
  Compare -30 and -98
  Swap -30 and -98
  List after swap: [-86, -67, -81, -38, -36, -98, -30, -29, 79]

Pass 4:
  Compare -86 and -67
  No swap needed
  Compare -67 and -81
  Swap -67 and -81
  List after swap: [-86, -81, -67, -38, -36, -98, -30, -29, 79]
  Compare -67 and -38
  No swap needed
  Compare -38 and -36
  No swap needed
  Compare -36 and -98
  Swap -36 and -98
  List after swap: [-86, -81, -67, -38, -98, -36, -30, -29, 79]

Pass 5:
  Compare -86 and -81
  No swap needed
  Compare -81 and -67
  No swap needed
  Compare -67 and -38
  No swap needed
  Compare -38 and -98
  Swap -38 and -98
  List after swap: [-86, -81, -67, -98, -38, -36, -30, -29, 79]

Pass 6:
  Compare -86 and -81
  No swap needed
  Compare -81 and -67
  No swap needed
  Compare -67 and -98
  Swap -67 and -98
  List after swap: [-86, -81, -98, -67, -38, -36, -30, -29, 79]

Pass 7:
  Compare -86 and -81
  No swap needed
  Compare -81 and -98
  Swap -81 and -98
  List after swap: [-86, -98, -81, -67, -38, -36, -30, -29, 79]

Pass 8:
  Compare -86 and -98
  Swap -86 and -98
  List after swap: [-98, -86, -81, -67, -38, -36, -30, -29, 79]

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

Final sorted list: [-98, -86, -81, -67, -38, -36, -30, -29, 79]
</think>

<response>-98, -86, -81, -67, -38, -36, -30, -29, 79</response>


input: Execute bubble sort to sort 26, -60, -75 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [26, -60, -75]

Pass 1:
  Compare 26 and -60
  Swap 26 and -60
  List after swap: [-60, 26, -75]
  Compare 26 and -75
  Swap 26 and -75
  List after swap: [-60, -75, 26]

Pass 2:
  Compare -60 and -75
  Swap -60 and -75
  List after swap: [-75, -60, 26]

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

Final sorted list: [-75, -60, 26]
</think>

<response>-75, -60, 26</response>


input: Arrange the numbers -84, 69, -91, 85, 71, -97 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-84, 69, -91, 85, 71, -97]

Pass 1:
  Compare -84 and 69
  No swap needed
  Compare 69 and -91
  Swap 69 and -91
  List after swap: [-84, -91, 69, 85, 71, -97]
  Compare 69 and 85
  No swap needed
  Compare 85 and 71
  Swap 85 and 71
  List after swap: [-84, -91, 69, 71, 85, -97]
  Compare 85 and -97
  Swap 85 and -97
  List after swap: [-84, -91, 69, 71, -97, 85]

Pass 2:
  Compare -84 and -91
  Swap -84 and -91
  List after swap: [-91, -84, 69, 71, -97, 85]
  Compare -84 and 69
  No swap needed
  Compare 69 and 71
  No swap needed
  Compare 71 and -97
  Swap 71 and -97
  List after swap: [-91, -84, 69, -97, 71, 85]

Pass 3:
  Compare -91 and -84
  No swap needed
  Compare -84 and 69
  No swap needed
  Compare 69 and -97
  Swap 69 and -97
  List after swap: [-91, -84, -97, 69, 71, 85]

Pass 4:
  Compare -91 and -84
  No swap needed
  Compare -84 and -97
  Swap -84 and -97
  List after swap: [-91, -97, -84, 69, 71, 85]

Pass 5:
  Compare -91 and -97
  Swap -91 and -97
  List after swap: [-97, -91, -84, 69, 71, 85]

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

Final sorted list: [-97, -91, -84, 69, 71, 85]
</think>

<response>-97, -91, -84, 69, 71, 85</response>


input: Demonstrate how bubble sort orders the integers 91, -67 in ascending sequence, showing all steps.

output:
<think>
Initial list: [91, -67]

Pass 1:
  Compare 91 and -67
  Swap 91 and -67
  List after swap: [-67, 91]

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

Final sorted list: [-67, 91]
</think>

<response>-67, 91</response>


input: Demonstrate how bubble sort orders the integers -83, -53, 62, 5, 0 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-83, -53, 62, 5, 0]

Pass 1:
  Compare -83 and -53
  No swap needed
  Compare -53 and 62
  No swap needed
  Compare 62 and 5
  Swap 62 and 5
  List after swap: [-83, -53, 5, 62, 0]
  Compare 62 and 0
  Swap 62 and 0
  List after swap: [-83, -53, 5, 0, 62]

Pass 2:
  Compare -83 and -53
  No swap needed
  Compare -53 and 5
  No swap needed
  Compare 5 and 0
  Swap 5 and 0
  List after swap: [-83, -53, 0, 5, 62]

Pass 3:
  Compare -83 and -53
  No swap needed
  Compare -53 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -53, 0, 5, 62]
</think>

<response>-83, -53, 0, 5, 62</response>


input: Use the bubble sort technique to reorder 31, 90, -72, 2, 65, -59, 61 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [31, 90, -72, 2, 65, -59, 61]

Pass 1:
  Compare 31 and 90
  No swap needed
  Compare 90 and -72
  Swap 90 and -72
  List after swap: [31, -72, 90, 2, 65, -59, 61]
  Compare 90 and 2
  Swap 90 and 2
  List after swap: [31, -72, 2, 90, 65, -59, 61]
  Compare 90 and 65
  Swap 90 and 65
  List after swap: [31, -72, 2, 65, 90, -59, 61]
  Compare 90 and -59
  Swap 90 and -59
  List after swap: [31, -72, 2, 65, -59, 90, 61]
  Compare 90 and 61
  Swap 90 and 61
  List after swap: [31, -72, 2, 65, -59, 61, 90]

Pass 2:
  Compare 31 and -72
  Swap 31 and -72
  List after swap: [-72, 31, 2, 65, -59, 61, 90]
  Compare 31 and 2
  Swap 31 and 2
  List after swap: [-72, 2, 31, 65, -59, 61, 90]
  Compare 31 and 65
  No swap needed
  Compare 65 and -59
  Swap 65 and -59
  List after swap: [-72, 2, 31, -59, 65, 61, 90]
  Compare 65 and 61
  Swap 65 and 61
  List after swap: [-72, 2, 31, -59, 61, 65, 90]

Pass 3:
  Compare -72 and 2
  No swap needed
  Compare 2 and 31
  No swap needed
  Compare 31 and -59
  Swap 31 and -59
  List after swap: [-72, 2, -59, 31, 61, 65, 90]
  Compare 31 and 61
  No swap needed

Pass 4:
  Compare -72 and 2
  No swap needed
  Compare 2 and -59
  Swap 2 and -59
  List after swap: [-72, -59, 2, 31, 61, 65, 90]
  Compare 2 and 31
  No swap needed

Pass 5:
  Compare -72 and -59
  No swap needed
  Compare -59 and 2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -59, 2, 31, 61, 65, 90]
</think>

<response>-72, -59, 2, 31, 61, 65, 90</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 9, -70, 43, 37, 39, 19, -3, -23, 21.

output:
<think>
Initial list: [9, -70, 43, 37, 39, 19, -3, -23, 21]

Pass 1:
  Compare 9 and -70
  Swap 9 and -70
  List after swap: [-70, 9, 43, 37, 39, 19, -3, -23, 21]
  Compare 9 and 43
  No swap needed
  Compare 43 and 37
  Swap 43 and 37
  List after swap: [-70, 9, 37, 43, 39, 19, -3, -23, 21]
  Compare 43 and 39
  Swap 43 and 39
  List after swap: [-70, 9, 37, 39, 43, 19, -3, -23, 21]
  Compare 43 and 19
  Swap 43 and 19
  List after swap: [-70, 9, 37, 39, 19, 43, -3, -23, 21]
  Compare 43 and -3
  Swap 43 and -3
  List after swap: [-70, 9, 37, 39, 19, -3, 43, -23, 21]
  Compare 43 and -23
  Swap 43 and -23
  List after swap: [-70, 9, 37, 39, 19, -3, -23, 43, 21]
  Compare 43 and 21
  Swap 43 and 21
  List after swap: [-70, 9, 37, 39, 19, -3, -23, 21, 43]

Pass 2:
  Compare -70 and 9
  No swap needed
  Compare 9 and 37
  No swap needed
  Compare 37 and 39
  No swap needed
  Compare 39 and 19
  Swap 39 and 19
  List after swap: [-70, 9, 37, 19, 39, -3, -23, 21, 43]
  Compare 39 and -3
  Swap 39 and -3
  List after swap: [-70, 9, 37, 19, -3, 39, -23, 21, 43]
  Compare 39 and -23
  Swap 39 and -23
  List after swap: [-70, 9, 37, 19, -3, -23, 39, 21, 43]
  Compare 39 and 21
  Swap 39 and 21
  List after swap: [-70, 9, 37, 19, -3, -23, 21, 39, 43]

Pass 3:
  Compare -70 and 9
  No swap needed
  Compare 9 and 37
  No swap needed
  Compare 37 and 19
  Swap 37 and 19
  List after swap: [-70, 9, 19, 37, -3, -23, 21, 39, 43]
  Compare 37 and -3
  Swap 37 and -3
  List after swap: [-70, 9, 19, -3, 37, -23, 21, 39, 43]
  Compare 37 and -23
  Swap 37 and -23
  List after swap: [-70, 9, 19, -3, -23, 37, 21, 39, 43]
  Compare 37 and 21
  Swap 37 and 21
  List after swap: [-70, 9, 19, -3, -23, 21, 37, 39, 43]

Pass 4:
  Compare -70 and 9
  No swap needed
  Compare 9 and 19
  No swap needed
  Compare 19 and -3
  Swap 19 and -3
  List after swap: [-70, 9, -3, 19, -23, 21, 37, 39, 43]
  Compare 19 and -23
  Swap 19 and -23
  List after swap: [-70, 9, -3, -23, 19, 21, 37, 39, 43]
  Compare 19 and 21
  No swap needed

Pass 5:
  Compare -70 and 9
  No swap needed
  Compare 9 and -3
  Swap 9 and -3
  List after swap: [-70, -3, 9, -23, 19, 21, 37, 39, 43]
  Compare 9 and -23
  Swap 9 and -23
  List after swap: [-70, -3, -23, 9, 19, 21, 37, 39, 43]
  Compare 9 and 19
  No swap needed

Pass 6:
  Compare -70 and -3
  No swap needed
  Compare -3 and -23
  Swap -3 and -23
  List after swap: [-70, -23, -3, 9, 19, 21, 37, 39, 43]
  Compare -3 and 9
  No swap needed

Pass 7:
  Compare -70 and -23
  No swap needed
  Compare -23 and -3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -23, -3, 9, 19, 21, 37, 39, 43]
</think>

<response>-70, -23, -3, 9, 19, 21, 37, 39, 43</response>


input: Use the bubble sort technique to reorder -21, 45, -7, 38, 62, 72, -95, -72, -99, -94 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-21, 45, -7, 38, 62, 72, -95, -72, -99, -94]

Pass 1:
  Compare -21 and 45
  No swap needed
  Compare 45 and -7
  Swap 45 and -7
  List after swap: [-21, -7, 45, 38, 62, 72, -95, -72, -99, -94]
  Compare 45 and 38
  Swap 45 and 38
  List after swap: [-21, -7, 38, 45, 62, 72, -95, -72, -99, -94]
  Compare 45 and 62
  No swap needed
  Compare 62 and 72
  No swap needed
  Compare 72 and -95
  Swap 72 and -95
  List after swap: [-21, -7, 38, 45, 62, -95, 72, -72, -99, -94]
  Compare 72 and -72
  Swap 72 and -72
  List after swap: [-21, -7, 38, 45, 62, -95, -72, 72, -99, -94]
  Compare 72 and -99
  Swap 72 and -99
  List after swap: [-21, -7, 38, 45, 62, -95, -72, -99, 72, -94]
  Compare 72 and -94
  Swap 72 and -94
  List after swap: [-21, -7, 38, 45, 62, -95, -72, -99, -94, 72]

Pass 2:
  Compare -21 and -7
  No swap needed
  Compare -7 and 38
  No swap needed
  Compare 38 and 45
  No swap needed
  Compare 45 and 62
  No swap needed
  Compare 62 and -95
  Swap 62 and -95
  List after swap: [-21, -7, 38, 45, -95, 62, -72, -99, -94, 72]
  Compare 62 and -72
  Swap 62 and -72
  List after swap: [-21, -7, 38, 45, -95, -72, 62, -99, -94, 72]
  Compare 62 and -99
  Swap 62 and -99
  List after swap: [-21, -7, 38, 45, -95, -72, -99, 62, -94, 72]
  Compare 62 and -94
  Swap 62 and -94
  List after swap: [-21, -7, 38, 45, -95, -72, -99, -94, 62, 72]

Pass 3:
  Compare -21 and -7
  No swap needed
  Compare -7 and 38
  No swap needed
  Compare 38 and 45
  No swap needed
  Compare 45 and -95
  Swap 45 and -95
  List after swap: [-21, -7, 38, -95, 45, -72, -99, -94, 62, 72]
  Compare 45 and -72
  Swap 45 and -72
  List after swap: [-21, -7, 38, -95, -72, 45, -99, -94, 62, 72]
  Compare 45 and -99
  Swap 45 and -99
  List after swap: [-21, -7, 38, -95, -72, -99, 45, -94, 62, 72]
  Compare 45 and -94
  Swap 45 and -94
  List after swap: [-21, -7, 38, -95, -72, -99, -94, 45, 62, 72]

Pass 4:
  Compare -21 and -7
  No swap needed
  Compare -7 and 38
  No swap needed
  Compare 38 and -95
  Swap 38 and -95
  List after swap: [-21, -7, -95, 38, -72, -99, -94, 45, 62, 72]
  Compare 38 and -72
  Swap 38 and -72
  List after swap: [-21, -7, -95, -72, 38, -99, -94, 45, 62, 72]
  Compare 38 and -99
  Swap 38 and -99
  List after swap: [-21, -7, -95, -72, -99, 38, -94, 45, 62, 72]
  Compare 38 and -94
  Swap 38 and -94
  List after swap: [-21, -7, -95, -72, -99, -94, 38, 45, 62, 72]

Pass 5:
  Compare -21 and -7
  No swap needed
  Compare -7 and -95
  Swap -7 and -95
  List after swap: [-21, -95, -7, -72, -99, -94, 38, 45, 62, 72]
  Compare -7 and -72
  Swap -7 and -72
  List after swap: [-21, -95, -72, -7, -99, -94, 38, 45, 62, 72]
  Compare -7 and -99
  Swap -7 and -99
  List after swap: [-21, -95, -72, -99, -7, -94, 38, 45, 62, 72]
  Compare -7 and -94
  Swap -7 and -94
  List after swap: [-21, -95, -72, -99, -94, -7, 38, 45, 62, 72]

Pass 6:
  Compare -21 and -95
  Swap -21 and -95
  List after swap: [-95, -21, -72, -99, -94, -7, 38, 45, 62, 72]
  Compare -21 and -72
  Swap -21 and -72
  List after swap: [-95, -72, -21, -99, -94, -7, 38, 45, 62, 72]
  Compare -21 and -99
  Swap -21 and -99
  List after swap: [-95, -72, -99, -21, -94, -7, 38, 45, 62, 72]
  Compare -21 and -94
  Swap -21 and -94
  List after swap: [-95, -72, -99, -94, -21, -7, 38, 45, 62, 72]

Pass 7:
  Compare -95 and -72
  No swap needed
  Compare -72 and -99
  Swap -72 and -99
  List after swap: [-95, -99, -72, -94, -21, -7, 38, 45, 62, 72]
  Compare -72 and -94
  Swap -72 and -94
  List after swap: [-95, -99, -94, -72, -21, -7, 38, 45, 62, 72]

Pass 8:
  Compare -95 and -99
  Swap -95 and -99
  List after swap: [-99, -95, -94, -72, -21, -7, 38, 45, 62, 72]
  Compare -95 and -94
  No swap needed

Pass 9:
  Compare -99 and -95
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -95, -94, -72, -21, -7, 38, 45, 62, 72]
</think>

<response>-99, -95, -94, -72, -21, -7, 38, 45, 62, 72</response>


input: Arrange the numbers -41, -100, -26, 82, 15, 65, 38, -17, 3 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-41, -100, -26, 82, 15, 65, 38, -17, 3]

Pass 1:
  Compare -41 and -100
  Swap -41 and -100
  List after swap: [-100, -41, -26, 82, 15, 65, 38, -17, 3]
  Compare -41 and -26
  No swap needed
  Compare -26 and 82
  No swap needed
  Compare 82 and 15
  Swap 82 and 15
  List after swap: [-100, -41, -26, 15, 82, 65, 38, -17, 3]
  Compare 82 and 65
  Swap 82 and 65
  List after swap: [-100, -41, -26, 15, 65, 82, 38, -17, 3]
  Compare 82 and 38
  Swap 82 and 38
  List after swap: [-100, -41, -26, 15, 65, 38, 82, -17, 3]
  Compare 82 and -17
  Swap 82 and -17
  List after swap: [-100, -41, -26, 15, 65, 38, -17, 82, 3]
  Compare 82 and 3
  Swap 82 and 3
  List after swap: [-100, -41, -26, 15, 65, 38, -17, 3, 82]

Pass 2:
  Compare -100 and -41
  No swap needed
  Compare -41 and -26
  No swap needed
  Compare -26 and 15
  No swap needed
  Compare 15 and 65
  No swap needed
  Compare 65 and 38
  Swap 65 and 38
  List after swap: [-100, -41, -26, 15, 38, 65, -17, 3, 82]
  Compare 65 and -17
  Swap 65 and -17
  List after swap: [-100, -41, -26, 15, 38, -17, 65, 3, 82]
  Compare 65 and 3
  Swap 65 and 3
  List after swap: [-100, -41, -26, 15, 38, -17, 3, 65, 82]

Pass 3:
  Compare -100 and -41
  No swap needed
  Compare -41 and -26
  No swap needed
  Compare -26 and 15
  No swap needed
  Compare 15 and 38
  No swap needed
  Compare 38 and -17
  Swap 38 and -17
  List after swap: [-100, -41, -26, 15, -17, 38, 3, 65, 82]
  Compare 38 and 3
  Swap 38 and 3
  List after swap: [-100, -41, -26, 15, -17, 3, 38, 65, 82]

Pass 4:
  Compare -100 and -41
  No swap needed
  Compare -41 and -26
  No swap needed
  Compare -26 and 15
  No swap needed
  Compare 15 and -17
  Swap 15 and -17
  List after swap: [-100, -41, -26, -17, 15, 3, 38, 65, 82]
  Compare 15 and 3
  Swap 15 and 3
  List after swap: [-100, -41, -26, -17, 3, 15, 38, 65, 82]

Pass 5:
  Compare -100 and -41
  No swap needed
  Compare -41 and -26
  No swap needed
  Compare -26 and -17
  No swap needed
  Compare -17 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -41, -26, -17, 3, 15, 38, 65, 82]
</think>

<response>-100, -41, -26, -17, 3, 15, 38, 65, 82</response>


input: Execute bubble sort to sort -2, -90, -6, 18, 84, -74, 50, -67, 52 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-2, -90, -6, 18, 84, -74, 50, -67, 52]

Pass 1:
  Compare -2 and -90
  Swap -2 and -90
  List after swap: [-90, -2, -6, 18, 84, -74, 50, -67, 52]
  Compare -2 and -6
  Swap -2 and -6
  List after swap: [-90, -6, -2, 18, 84, -74, 50, -67, 52]
  Compare -2 and 18
  No swap needed
  Compare 18 and 84
  No swap needed
  Compare 84 and -74
  Swap 84 and -74
  List after swap: [-90, -6, -2, 18, -74, 84, 50, -67, 52]
  Compare 84 and 50
  Swap 84 and 50
  List after swap: [-90, -6, -2, 18, -74, 50, 84, -67, 52]
  Compare 84 and -67
  Swap 84 and -67
  List after swap: [-90, -6, -2, 18, -74, 50, -67, 84, 52]
  Compare 84 and 52
  Swap 84 and 52
  List after swap: [-90, -6, -2, 18, -74, 50, -67, 52, 84]

Pass 2:
  Compare -90 and -6
  No swap needed
  Compare -6 and -2
  No swap needed
  Compare -2 and 18
  No swap needed
  Compare 18 and -74
  Swap 18 and -74
  List after swap: [-90, -6, -2, -74, 18, 50, -67, 52, 84]
  Compare 18 and 50
  No swap needed
  Compare 50 and -67
  Swap 50 and -67
  List after swap: [-90, -6, -2, -74, 18, -67, 50, 52, 84]
  Compare 50 and 52
  No swap needed

Pass 3:
  Compare -90 and -6
  No swap needed
  Compare -6 and -2
  No swap needed
  Compare -2 and -74
  Swap -2 and -74
  List after swap: [-90, -6, -74, -2, 18, -67, 50, 52, 84]
  Compare -2 and 18
  No swap needed
  Compare 18 and -67
  Swap 18 and -67
  List after swap: [-90, -6, -74, -2, -67, 18, 50, 52, 84]
  Compare 18 and 50
  No swap needed

Pass 4:
  Compare -90 and -6
  No swap needed
  Compare -6 and -74
  Swap -6 and -74
  List after swap: [-90, -74, -6, -2, -67, 18, 50, 52, 84]
  Compare -6 and -2
  No swap needed
  Compare -2 and -67
  Swap -2 and -67
  List after swap: [-90, -74, -6, -67, -2, 18, 50, 52, 84]
  Compare -2 and 18
  No swap needed

Pass 5:
  Compare -90 and -74
  No swap needed
  Compare -74 and -6
  No swap needed
  Compare -6 and -67
  Swap -6 and -67
  List after swap: [-90, -74, -67, -6, -2, 18, 50, 52, 84]
  Compare -6 and -2
  No swap needed

Pass 6:
  Compare -90 and -74
  No swap needed
  Compare -74 and -67
  No swap needed
  Compare -67 and -6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -74, -67, -6, -2, 18, 50, 52, 84]
</think>

<response>-90, -74, -67, -6, -2, 18, 50, 52, 84</response>


input: Carry out the bubble sort algorithm on -79, 30, 4, -75, 61, 27 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-79, 30, 4, -75, 61, 27]

Pass 1:
  Compare -79 and 30
  No swap needed
  Compare 30 and 4
  Swap 30 and 4
  List after swap: [-79, 4, 30, -75, 61, 27]
  Compare 30 and -75
  Swap 30 and -75
  List after swap: [-79, 4, -75, 30, 61, 27]
  Compare 30 and 61
  No swap needed
  Compare 61 and 27
  Swap 61 and 27
  List after swap: [-79, 4, -75, 30, 27, 61]

Pass 2:
  Compare -79 and 4
  No swap needed
  Compare 4 and -75
  Swap 4 and -75
  List after swap: [-79, -75, 4, 30, 27, 61]
  Compare 4 and 30
  No swap needed
  Compare 30 and 27
  Swap 30 and 27
  List after swap: [-79, -75, 4, 27, 30, 61]

Pass 3:
  Compare -79 and -75
  No swap needed
  Compare -75 and 4
  No swap needed
  Compare 4 and 27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -75, 4, 27, 30, 61]
</think>

<response>-79, -75, 4, 27, 30, 61</response>


input: Arrange the numbers 61, 32, -84, 1 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [61, 32, -84, 1]

Pass 1:
  Compare 61 and 32
  Swap 61 and 32
  List after swap: [32, 61, -84, 1]
  Compare 61 and -84
  Swap 61 and -84
  List after swap: [32, -84, 61, 1]
  Compare 61 and 1
  Swap 61 and 1
  List after swap: [32, -84, 1, 61]

Pass 2:
  Compare 32 and -84
  Swap 32 and -84
  List after swap: [-84, 32, 1, 61]
  Compare 32 and 1
  Swap 32 and 1
  List after swap: [-84, 1, 32, 61]

Pass 3:
  Compare -84 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, 1, 32, 61]
</think>

<response>-84, 1, 32, 61</response>


input: Implement bubble sort on 58, 79, 96, -17, -44, -92 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [58, 79, 96, -17, -44, -92]

Pass 1:
  Compare 58 and 79
  No swap needed
  Compare 79 and 96
  No swap needed
  Compare 96 and -17
  Swap 96 and -17
  List after swap: [58, 79, -17, 96, -44, -92]
  Compare 96 and -44
  Swap 96 and -44
  List after swap: [58, 79, -17, -44, 96, -92]
  Compare 96 and -92
  Swap 96 and -92
  List after swap: [58, 79, -17, -44, -92, 96]

Pass 2:
  Compare 58 and 79
  No swap needed
  Compare 79 and -17
  Swap 79 and -17
  List after swap: [58, -17, 79, -44, -92, 96]
  Compare 79 and -44
  Swap 79 and -44
  List after swap: [58, -17, -44, 79, -92, 96]
  Compare 79 and -92
  Swap 79 and -92
  List after swap: [58, -17, -44, -92, 79, 96]

Pass 3:
  Compare 58 and -17
  Swap 58 and -17
  List after swap: [-17, 58, -44, -92, 79, 96]
  Compare 58 and -44
  Swap 58 and -44
  List after swap: [-17, -44, 58, -92, 79, 96]
  Compare 58 and -92
  Swap 58 and -92
  List after swap: [-17, -44, -92, 58, 79, 96]

Pass 4:
  Compare -17 and -44
  Swap -17 and -44
  List after swap: [-44, -17, -92, 58, 79, 96]
  Compare -17 and -92
  Swap -17 and -92
  List after swap: [-44, -92, -17, 58, 79, 96]

Pass 5:
  Compare -44 and -92
  Swap -44 and -92
  List after swap: [-92, -44, -17, 58, 79, 96]

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

Final sorted list: [-92, -44, -17, 58, 79, 96]
</think>

<response>-92, -44, -17, 58, 79, 96</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -7, -15, 32, 4.

output:
<think>
Initial list: [-7, -15, 32, 4]

Pass 1:
  Compare -7 and -15
  Swap -7 and -15
  List after swap: [-15, -7, 32, 4]
  Compare -7 and 32
  No swap needed
  Compare 32 and 4
  Swap 32 and 4
  List after swap: [-15, -7, 4, 32]

Pass 2:
  Compare -15 and -7
  No swap needed
  Compare -7 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-15, -7, 4, 32]
</think>

<response>-15, -7, 4, 32</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 89, 40.

output:
<think>
Initial list: [89, 40]

Pass 1:
  Compare 89 and 40
  Swap 89 and 40
  List after swap: [40, 89]

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

Final sorted list: [40, 89]
</think>

<response>40, 89</response>


input: Sort the list 40, -16, -55, -96, 53, 3, -33, 44, 31 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [40, -16, -55, -96, 53, 3, -33, 44, 31]

Pass 1:
  Compare 40 and -16
  Swap 40 and -16
  List after swap: [-16, 40, -55, -96, 53, 3, -33, 44, 31]
  Compare 40 and -55
  Swap 40 and -55
  List after swap: [-16, -55, 40, -96, 53, 3, -33, 44, 31]
  Compare 40 and -96
  Swap 40 and -96
  List after swap: [-16, -55, -96, 40, 53, 3, -33, 44, 31]
  Compare 40 and 53
  No swap needed
  Compare 53 and 3
  Swap 53 and 3
  List after swap: [-16, -55, -96, 40, 3, 53, -33, 44, 31]
  Compare 53 and -33
  Swap 53 and -33
  List after swap: [-16, -55, -96, 40, 3, -33, 53, 44, 31]
  Compare 53 and 44
  Swap 53 and 44
  List after swap: [-16, -55, -96, 40, 3, -33, 44, 53, 31]
  Compare 53 and 31
  Swap 53 and 31
  List after swap: [-16, -55, -96, 40, 3, -33, 44, 31, 53]

Pass 2:
  Compare -16 and -55
  Swap -16 and -55
  List after swap: [-55, -16, -96, 40, 3, -33, 44, 31, 53]
  Compare -16 and -96
  Swap -16 and -96
  List after swap: [-55, -96, -16, 40, 3, -33, 44, 31, 53]
  Compare -16 and 40
  No swap needed
  Compare 40 and 3
  Swap 40 and 3
  List after swap: [-55, -96, -16, 3, 40, -33, 44, 31, 53]
  Compare 40 and -33
  Swap 40 and -33
  List after swap: [-55, -96, -16, 3, -33, 40, 44, 31, 53]
  Compare 40 and 44
  No swap needed
  Compare 44 and 31
  Swap 44 and 31
  List after swap: [-55, -96, -16, 3, -33, 40, 31, 44, 53]

Pass 3:
  Compare -55 and -96
  Swap -55 and -96
  List after swap: [-96, -55, -16, 3, -33, 40, 31, 44, 53]
  Compare -55 and -16
  No swap needed
  Compare -16 and 3
  No swap needed
  Compare 3 and -33
  Swap 3 and -33
  List after swap: [-96, -55, -16, -33, 3, 40, 31, 44, 53]
  Compare 3 and 40
  No swap needed
  Compare 40 and 31
  Swap 40 and 31
  List after swap: [-96, -55, -16, -33, 3, 31, 40, 44, 53]

Pass 4:
  Compare -96 and -55
  No swap needed
  Compare -55 and -16
  No swap needed
  Compare -16 and -33
  Swap -16 and -33
  List after swap: [-96, -55, -33, -16, 3, 31, 40, 44, 53]
  Compare -16 and 3
  No swap needed
  Compare 3 and 31
  No swap needed

Pass 5:
  Compare -96 and -55
  No swap needed
  Compare -55 and -33
  No swap needed
  Compare -33 and -16
  No swap needed
  Compare -16 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -55, -33, -16, 3, 31, 40, 44, 53]
</think>

<response>-96, -55, -33, -16, 3, 31, 40, 44, 53</response>


input: Sort the list -6, 8, 10, -40, 15, 88, 65, 61, 24 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-6, 8, 10, -40, 15, 88, 65, 61, 24]

Pass 1:
  Compare -6 and 8
  No swap needed
  Compare 8 and 10
  No swap needed
  Compare 10 and -40
  Swap 10 and -40
  List after swap: [-6, 8, -40, 10, 15, 88, 65, 61, 24]
  Compare 10 and 15
  No swap needed
  Compare 15 and 88
  No swap needed
  Compare 88 and 65
  Swap 88 and 65
  List after swap: [-6, 8, -40, 10, 15, 65, 88, 61, 24]
  Compare 88 and 61
  Swap 88 and 61
  List after swap: [-6, 8, -40, 10, 15, 65, 61, 88, 24]
  Compare 88 and 24
  Swap 88 and 24
  List after swap: [-6, 8, -40, 10, 15, 65, 61, 24, 88]

Pass 2:
  Compare -6 and 8
  No swap needed
  Compare 8 and -40
  Swap 8 and -40
  List after swap: [-6, -40, 8, 10, 15, 65, 61, 24, 88]
  Compare 8 and 10
  No swap needed
  Compare 10 and 15
  No swap needed
  Compare 15 and 65
  No swap needed
  Compare 65 and 61
  Swap 65 and 61
  List after swap: [-6, -40, 8, 10, 15, 61, 65, 24, 88]
  Compare 65 and 24
  Swap 65 and 24
  List after swap: [-6, -40, 8, 10, 15, 61, 24, 65, 88]

Pass 3:
  Compare -6 and -40
  Swap -6 and -40
  List after swap: [-40, -6, 8, 10, 15, 61, 24, 65, 88]
  Compare -6 and 8
  No swap needed
  Compare 8 and 10
  No swap needed
  Compare 10 and 15
  No swap needed
  Compare 15 and 61
  No swap needed
  Compare 61 and 24
  Swap 61 and 24
  List after swap: [-40, -6, 8, 10, 15, 24, 61, 65, 88]

Pass 4:
  Compare -40 and -6
  No swap needed
  Compare -6 and 8
  No swap needed
  Compare 8 and 10
  No swap needed
  Compare 10 and 15
  No swap needed
  Compare 15 and 24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-40, -6, 8, 10, 15, 24, 61, 65, 88]
</think>

<response>-40, -6, 8, 10, 15, 24, 61, 65, 88</response>


input: Carry out the bubble sort algorithm on 36, -12, 74, 95, 78, -4 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [36, -12, 74, 95, 78, -4]

Pass 1:
  Compare 36 and -12
  Swap 36 and -12
  List after swap: [-12, 36, 74, 95, 78, -4]
  Compare 36 and 74
  No swap needed
  Compare 74 and 95
  No swap needed
  Compare 95 and 78
  Swap 95 and 78
  List after swap: [-12, 36, 74, 78, 95, -4]
  Compare 95 and -4
  Swap 95 and -4
  List after swap: [-12, 36, 74, 78, -4, 95]

Pass 2:
  Compare -12 and 36
  No swap needed
  Compare 36 and 74
  No swap needed
  Compare 74 and 78
  No swap needed
  Compare 78 and -4
  Swap 78 and -4
  List after swap: [-12, 36, 74, -4, 78, 95]

Pass 3:
  Compare -12 and 36
  No swap needed
  Compare 36 and 74
  No swap needed
  Compare 74 and -4
  Swap 74 and -4
  List after swap: [-12, 36, -4, 74, 78, 95]

Pass 4:
  Compare -12 and 36
  No swap needed
  Compare 36 and -4
  Swap 36 and -4
  List after swap: [-12, -4, 36, 74, 78, 95]

Pass 5:
  Compare -12 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-12, -4, 36, 74, 78, 95]
</think>

<response>-12, -4, 36, 74, 78, 95</response>


input: Implement bubble sort on -80, 66, -14, -42, -50, 79, 34, 75, 50, -45 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-80, 66, -14, -42, -50, 79, 34, 75, 50, -45]

Pass 1:
  Compare -80 and 66
  No swap needed
  Compare 66 and -14
  Swap 66 and -14
  List after swap: [-80, -14, 66, -42, -50, 79, 34, 75, 50, -45]
  Compare 66 and -42
  Swap 66 and -42
  List after swap: [-80, -14, -42, 66, -50, 79, 34, 75, 50, -45]
  Compare 66 and -50
  Swap 66 and -50
  List after swap: [-80, -14, -42, -50, 66, 79, 34, 75, 50, -45]
  Compare 66 and 79
  No swap needed
  Compare 79 and 34
  Swap 79 and 34
  List after swap: [-80, -14, -42, -50, 66, 34, 79, 75, 50, -45]
  Compare 79 and 75
  Swap 79 and 75
  List after swap: [-80, -14, -42, -50, 66, 34, 75, 79, 50, -45]
  Compare 79 and 50
  Swap 79 and 50
  List after swap: [-80, -14, -42, -50, 66, 34, 75, 50, 79, -45]
  Compare 79 and -45
  Swap 79 and -45
  List after swap: [-80, -14, -42, -50, 66, 34, 75, 50, -45, 79]

Pass 2:
  Compare -80 and -14
  No swap needed
  Compare -14 and -42
  Swap -14 and -42
  List after swap: [-80, -42, -14, -50, 66, 34, 75, 50, -45, 79]
  Compare -14 and -50
  Swap -14 and -50
  List after swap: [-80, -42, -50, -14, 66, 34, 75, 50, -45, 79]
  Compare -14 and 66
  No swap needed
  Compare 66 and 34
  Swap 66 and 34
  List after swap: [-80, -42, -50, -14, 34, 66, 75, 50, -45, 79]
  Compare 66 and 75
  No swap needed
  Compare 75 and 50
  Swap 75 and 50
  List after swap: [-80, -42, -50, -14, 34, 66, 50, 75, -45, 79]
  Compare 75 and -45
  Swap 75 and -45
  List after swap: [-80, -42, -50, -14, 34, 66, 50, -45, 75, 79]

Pass 3:
  Compare -80 and -42
  No swap needed
  Compare -42 and -50
  Swap -42 and -50
  List after swap: [-80, -50, -42, -14, 34, 66, 50, -45, 75, 79]
  Compare -42 and -14
  No swap needed
  Compare -14 and 34
  No swap needed
  Compare 34 and 66
  No swap needed
  Compare 66 and 50
  Swap 66 and 50
  List after swap: [-80, -50, -42, -14, 34, 50, 66, -45, 75, 79]
  Compare 66 and -45
  Swap 66 and -45
  List after swap: [-80, -50, -42, -14, 34, 50, -45, 66, 75, 79]

Pass 4:
  Compare -80 and -50
  No swap needed
  Compare -50 and -42
  No swap needed
  Compare -42 and -14
  No swap needed
  Compare -14 and 34
  No swap needed
  Compare 34 and 50
  No swap needed
  Compare 50 and -45
  Swap 50 and -45
  List after swap: [-80, -50, -42, -14, 34, -45, 50, 66, 75, 79]

Pass 5:
  Compare -80 and -50
  No swap needed
  Compare -50 and -42
  No swap needed
  Compare -42 and -14
  No swap needed
  Compare -14 and 34
  No swap needed
  Compare 34 and -45
  Swap 34 and -45
  List after swap: [-80, -50, -42, -14, -45, 34, 50, 66, 75, 79]

Pass 6:
  Compare -80 and -50
  No swap needed
  Compare -50 and -42
  No swap needed
  Compare -42 and -14
  No swap needed
  Compare -14 and -45
  Swap -14 and -45
  List after swap: [-80, -50, -42, -45, -14, 34, 50, 66, 75, 79]

Pass 7:
  Compare -80 and -50
  No swap needed
  Compare -50 and -42
  No swap needed
  Compare -42 and -45
  Swap -42 and -45
  List after swap: [-80, -50, -45, -42, -14, 34, 50, 66, 75, 79]

Pass 8:
  Compare -80 and -50
  No swap needed
  Compare -50 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -50, -45, -42, -14, 34, 50, 66, 75, 79]
</think>

<response>-80, -50, -45, -42, -14, 34, 50, 66, 75, 79</response>


input: Implement bubble sort on 1, -4, -76, 79, 59, 57, 37, 54 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [1, -4, -76, 79, 59, 57, 37, 54]

Pass 1:
  Compare 1 and -4
  Swap 1 and -4
  List after swap: [-4, 1, -76, 79, 59, 57, 37, 54]
  Compare 1 and -76
  Swap 1 and -76
  List after swap: [-4, -76, 1, 79, 59, 57, 37, 54]
  Compare 1 and 79
  No swap needed
  Compare 79 and 59
  Swap 79 and 59
  List after swap: [-4, -76, 1, 59, 79, 57, 37, 54]
  Compare 79 and 57
  Swap 79 and 57
  List after swap: [-4, -76, 1, 59, 57, 79, 37, 54]
  Compare 79 and 37
  Swap 79 and 37
  List after swap: [-4, -76, 1, 59, 57, 37, 79, 54]
  Compare 79 and 54
  Swap 79 and 54
  List after swap: [-4, -76, 1, 59, 57, 37, 54, 79]

Pass 2:
  Compare -4 and -76
  Swap -4 and -76
  List after swap: [-76, -4, 1, 59, 57, 37, 54, 79]
  Compare -4 and 1
  No swap needed
  Compare 1 and 59
  No swap needed
  Compare 59 and 57
  Swap 59 and 57
  List after swap: [-76, -4, 1, 57, 59, 37, 54, 79]
  Compare 59 and 37
  Swap 59 and 37
  List after swap: [-76, -4, 1, 57, 37, 59, 54, 79]
  Compare 59 and 54
  Swap 59 and 54
  List after swap: [-76, -4, 1, 57, 37, 54, 59, 79]

Pass 3:
  Compare -76 and -4
  No swap needed
  Compare -4 and 1
  No swap needed
  Compare 1 and 57
  No swap needed
  Compare 57 and 37
  Swap 57 and 37
  List after swap: [-76, -4, 1, 37, 57, 54, 59, 79]
  Compare 57 and 54
  Swap 57 and 54
  List after swap: [-76, -4, 1, 37, 54, 57, 59, 79]

Pass 4:
  Compare -76 and -4
  No swap needed
  Compare -4 and 1
  No swap needed
  Compare 1 and 37
  No swap needed
  Compare 37 and 54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -4, 1, 37, 54, 57, 59, 79]
</think>

<response>-76, -4, 1, 37, 54, 57, 59, 79</response>


input: Implement bubble sort on -37, -73, 22, 57, 45, -10, 8, -51, -92 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-37, -73, 22, 57, 45, -10, 8, -51, -92]

Pass 1:
  Compare -37 and -73
  Swap -37 and -73
  List after swap: [-73, -37, 22, 57, 45, -10, 8, -51, -92]
  Compare -37 and 22
  No swap needed
  Compare 22 and 57
  No swap needed
  Compare 57 and 45
  Swap 57 and 45
  List after swap: [-73, -37, 22, 45, 57, -10, 8, -51, -92]
  Compare 57 and -10
  Swap 57 and -10
  List after swap: [-73, -37, 22, 45, -10, 57, 8, -51, -92]
  Compare 57 and 8
  Swap 57 and 8
  List after swap: [-73, -37, 22, 45, -10, 8, 57, -51, -92]
  Compare 57 and -51
  Swap 57 and -51
  List after swap: [-73, -37, 22, 45, -10, 8, -51, 57, -92]
  Compare 57 and -92
  Swap 57 and -92
  List after swap: [-73, -37, 22, 45, -10, 8, -51, -92, 57]

Pass 2:
  Compare -73 and -37
  No swap needed
  Compare -37 and 22
  No swap needed
  Compare 22 and 45
  No swap needed
  Compare 45 and -10
  Swap 45 and -10
  List after swap: [-73, -37, 22, -10, 45, 8, -51, -92, 57]
  Compare 45 and 8
  Swap 45 and 8
  List after swap: [-73, -37, 22, -10, 8, 45, -51, -92, 57]
  Compare 45 and -51
  Swap 45 and -51
  List after swap: [-73, -37, 22, -10, 8, -51, 45, -92, 57]
  Compare 45 and -92
  Swap 45 and -92
  List after swap: [-73, -37, 22, -10, 8, -51, -92, 45, 57]

Pass 3:
  Compare -73 and -37
  No swap needed
  Compare -37 and 22
  No swap needed
  Compare 22 and -10
  Swap 22 and -10
  List after swap: [-73, -37, -10, 22, 8, -51, -92, 45, 57]
  Compare 22 and 8
  Swap 22 and 8
  List after swap: [-73, -37, -10, 8, 22, -51, -92, 45, 57]
  Compare 22 and -51
  Swap 22 and -51
  List after swap: [-73, -37, -10, 8, -51, 22, -92, 45, 57]
  Compare 22 and -92
  Swap 22 and -92
  List after swap: [-73, -37, -10, 8, -51, -92, 22, 45, 57]

Pass 4:
  Compare -73 and -37
  No swap needed
  Compare -37 and -10
  No swap needed
  Compare -10 and 8
  No swap needed
  Compare 8 and -51
  Swap 8 and -51
  List after swap: [-73, -37, -10, -51, 8, -92, 22, 45, 57]
  Compare 8 and -92
  Swap 8 and -92
  List after swap: [-73, -37, -10, -51, -92, 8, 22, 45, 57]

Pass 5:
  Compare -73 and -37
  No swap needed
  Compare -37 and -10
  No swap needed
  Compare -10 and -51
  Swap -10 and -51
  List after swap: [-73, -37, -51, -10, -92, 8, 22, 45, 57]
  Compare -10 and -92
  Swap -10 and -92
  List after swap: [-73, -37, -51, -92, -10, 8, 22, 45, 57]

Pass 6:
  Compare -73 and -37
  No swap needed
  Compare -37 and -51
  Swap -37 and -51
  List after swap: [-73, -51, -37, -92, -10, 8, 22, 45, 57]
  Compare -37 and -92
  Swap -37 and -92
  List after swap: [-73, -51, -92, -37, -10, 8, 22, 45, 57]

Pass 7:
  Compare -73 and -51
  No swap needed
  Compare -51 and -92
  Swap -51 and -92
  List after swap: [-73, -92, -51, -37, -10, 8, 22, 45, 57]

Pass 8:
  Compare -73 and -92
  Swap -73 and -92
  List after swap: [-92, -73, -51, -37, -10, 8, 22, 45, 57]

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

Final sorted list: [-92, -73, -51, -37, -10, 8, 22, 45, 57]
</think>

<response>-92, -73, -51, -37, -10, 8, 22, 45, 57</response>


input: Demonstrate how bubble sort orders the integers -49, 13, 80, -40 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-49, 13, 80, -40]

Pass 1:
  Compare -49 and 13
  No swap needed
  Compare 13 and 80
  No swap needed
  Compare 80 and -40
  Swap 80 and -40
  List after swap: [-49, 13, -40, 80]

Pass 2:
  Compare -49 and 13
  No swap needed
  Compare 13 and -40
  Swap 13 and -40
  List after swap: [-49, -40, 13, 80]

Pass 3:
  Compare -49 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-49, -40, 13, 80]
</think>

<response>-49, -40, 13, 80</response>


input: Sort these integers -56, 72, 11, 49, 41, 78, 35, 44, 14 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-56, 72, 11, 49, 41, 78, 35, 44, 14]

Pass 1:
  Compare -56 and 72
  No swap needed
  Compare 72 and 11
  Swap 72 and 11
  List after swap: [-56, 11, 72, 49, 41, 78, 35, 44, 14]
  Compare 72 and 49
  Swap 72 and 49
  List after swap: [-56, 11, 49, 72, 41, 78, 35, 44, 14]
  Compare 72 and 41
  Swap 72 and 41
  List after swap: [-56, 11, 49, 41, 72, 78, 35, 44, 14]
  Compare 72 and 78
  No swap needed
  Compare 78 and 35
  Swap 78 and 35
  List after swap: [-56, 11, 49, 41, 72, 35, 78, 44, 14]
  Compare 78 and 44
  Swap 78 and 44
  List after swap: [-56, 11, 49, 41, 72, 35, 44, 78, 14]
  Compare 78 and 14
  Swap 78 and 14
  List after swap: [-56, 11, 49, 41, 72, 35, 44, 14, 78]

Pass 2:
  Compare -56 and 11
  No swap needed
  Compare 11 and 49
  No swap needed
  Compare 49 and 41
  Swap 49 and 41
  List after swap: [-56, 11, 41, 49, 72, 35, 44, 14, 78]
  Compare 49 and 72
  No swap needed
  Compare 72 and 35
  Swap 72 and 35
  List after swap: [-56, 11, 41, 49, 35, 72, 44, 14, 78]
  Compare 72 and 44
  Swap 72 and 44
  List after swap: [-56, 11, 41, 49, 35, 44, 72, 14, 78]
  Compare 72 and 14
  Swap 72 and 14
  List after swap: [-56, 11, 41, 49, 35, 44, 14, 72, 78]

Pass 3:
  Compare -56 and 11
  No swap needed
  Compare 11 and 41
  No swap needed
  Compare 41 and 49
  No swap needed
  Compare 49 and 35
  Swap 49 and 35
  List after swap: [-56, 11, 41, 35, 49, 44, 14, 72, 78]
  Compare 49 and 44
  Swap 49 and 44
  List after swap: [-56, 11, 41, 35, 44, 49, 14, 72, 78]
  Compare 49 and 14
  Swap 49 and 14
  List after swap: [-56, 11, 41, 35, 44, 14, 49, 72, 78]

Pass 4:
  Compare -56 and 11
  No swap needed
  Compare 11 and 41
  No swap needed
  Compare 41 and 35
  Swap 41 and 35
  List after swap: [-56, 11, 35, 41, 44, 14, 49, 72, 78]
  Compare 41 and 44
  No swap needed
  Compare 44 and 14
  Swap 44 and 14
  List after swap: [-56, 11, 35, 41, 14, 44, 49, 72, 78]

Pass 5:
  Compare -56 and 11
  No swap needed
  Compare 11 and 35
  No swap needed
  Compare 35 and 41
  No swap needed
  Compare 41 and 14
  Swap 41 and 14
  List after swap: [-56, 11, 35, 14, 41, 44, 49, 72, 78]

Pass 6:
  Compare -56 and 11
  No swap needed
  Compare 11 and 35
  No swap needed
  Compare 35 and 14
  Swap 35 and 14
  List after swap: [-56, 11, 14, 35, 41, 44, 49, 72, 78]

Pass 7:
  Compare -56 and 11
  No swap needed
  Compare 11 and 14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, 11, 14, 35, 41, 44, 49, 72, 78]
</think>

<response>-56, 11, 14, 35, 41, 44, 49, 72, 78</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -36, 45, 52, 67, -32, -51, 43, 55.

output:
<think>
Initial list: [-36, 45, 52, 67, -32, -51, 43, 55]

Pass 1:
  Compare -36 and 45
  No swap needed
  Compare 45 and 52
  No swap needed
  Compare 52 and 67
  No swap needed
  Compare 67 and -32
  Swap 67 and -32
  List after swap: [-36, 45, 52, -32, 67, -51, 43, 55]
  Compare 67 and -51
  Swap 67 and -51
  List after swap: [-36, 45, 52, -32, -51, 67, 43, 55]
  Compare 67 and 43
  Swap 67 and 43
  List after swap: [-36, 45, 52, -32, -51, 43, 67, 55]
  Compare 67 and 55
  Swap 67 and 55
  List after swap: [-36, 45, 52, -32, -51, 43, 55, 67]

Pass 2:
  Compare -36 and 45
  No swap needed
  Compare 45 and 52
  No swap needed
  Compare 52 and -32
  Swap 52 and -32
  List after swap: [-36, 45, -32, 52, -51, 43, 55, 67]
  Compare 52 and -51
  Swap 52 and -51
  List after swap: [-36, 45, -32, -51, 52, 43, 55, 67]
  Compare 52 and 43
  Swap 52 and 43
  List after swap: [-36, 45, -32, -51, 43, 52, 55, 67]
  Compare 52 and 55
  No swap needed

Pass 3:
  Compare -36 and 45
  No swap needed
  Compare 45 and -32
  Swap 45 and -32
  List after swap: [-36, -32, 45, -51, 43, 52, 55, 67]
  Compare 45 and -51
  Swap 45 and -51
  List after swap: [-36, -32, -51, 45, 43, 52, 55, 67]
  Compare 45 and 43
  Swap 45 and 43
  List after swap: [-36, -32, -51, 43, 45, 52, 55, 67]
  Compare 45 and 52
  No swap needed

Pass 4:
  Compare -36 and -32
  No swap needed
  Compare -32 and -51
  Swap -32 and -51
  List after swap: [-36, -51, -32, 43, 45, 52, 55, 67]
  Compare -32 and 43
  No swap needed
  Compare 43 and 45
  No swap needed

Pass 5:
  Compare -36 and -51
  Swap -36 and -51
  List after swap: [-51, -36, -32, 43, 45, 52, 55, 67]
  Compare -36 and -32
  No swap needed
  Compare -32 and 43
  No swap needed

Pass 6:
  Compare -51 and -36
  No swap needed
  Compare -36 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-51, -36, -32, 43, 45, 52, 55, 67]
</think>

<response>-51, -36, -32, 43, 45, 52, 55, 67</response>


input: Use the bubble sort technique to reorder -34, 78 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-34, 78]

Pass 1:
  Compare -34 and 78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-34, 78]
</think>

<response>-34, 78</response>