input: Carry out the bubble sort algorithm on -100, -51, 62, 81, -93, 92, -41, -74, 88 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-100, -51, 62, 81, -93, 92, -41, -74, 88]

Pass 1:
  Compare -100 and -51
  No swap needed
  Compare -51 and 62
  No swap needed
  Compare 62 and 81
  No swap needed
  Compare 81 and -93
  Swap 81 and -93
  List after swap: [-100, -51, 62, -93, 81, 92, -41, -74, 88]
  Compare 81 and 92
  No swap needed
  Compare 92 and -41
  Swap 92 and -41
  List after swap: [-100, -51, 62, -93, 81, -41, 92, -74, 88]
  Compare 92 and -74
  Swap 92 and -74
  List after swap: [-100, -51, 62, -93, 81, -41, -74, 92, 88]
  Compare 92 and 88
  Swap 92 and 88
  List after swap: [-100, -51, 62, -93, 81, -41, -74, 88, 92]

Pass 2:
  Compare -100 and -51
  No swap needed
  Compare -51 and 62
  No swap needed
  Compare 62 and -93
  Swap 62 and -93
  List after swap: [-100, -51, -93, 62, 81, -41, -74, 88, 92]
  Compare 62 and 81
  No swap needed
  Compare 81 and -41
  Swap 81 and -41
  List after swap: [-100, -51, -93, 62, -41, 81, -74, 88, 92]
  Compare 81 and -74
  Swap 81 and -74
  List after swap: [-100, -51, -93, 62, -41, -74, 81, 88, 92]
  Compare 81 and 88
  No swap needed

Pass 3:
  Compare -100 and -51
  No swap needed
  Compare -51 and -93
  Swap -51 and -93
  List after swap: [-100, -93, -51, 62, -41, -74, 81, 88, 92]
  Compare -51 and 62
  No swap needed
  Compare 62 and -41
  Swap 62 and -41
  List after swap: [-100, -93, -51, -41, 62, -74, 81, 88, 92]
  Compare 62 and -74
  Swap 62 and -74
  List after swap: [-100, -93, -51, -41, -74, 62, 81, 88, 92]
  Compare 62 and 81
  No swap needed

Pass 4:
  Compare -100 and -93
  No swap needed
  Compare -93 and -51
  No swap needed
  Compare -51 and -41
  No swap needed
  Compare -41 and -74
  Swap -41 and -74
  List after swap: [-100, -93, -51, -74, -41, 62, 81, 88, 92]
  Compare -41 and 62
  No swap needed

Pass 5:
  Compare -100 and -93
  No swap needed
  Compare -93 and -51
  No swap needed
  Compare -51 and -74
  Swap -51 and -74
  List after swap: [-100, -93, -74, -51, -41, 62, 81, 88, 92]
  Compare -51 and -41
  No swap needed

Pass 6:
  Compare -100 and -93
  No swap needed
  Compare -93 and -74
  No swap needed
  Compare -74 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -93, -74, -51, -41, 62, 81, 88, 92]
</think>

<response>-100, -93, -74, -51, -41, 62, 81, 88, 92</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 21, 53, 3, 97, 58, 32, -62, 61, -95.

output:
<think>
Initial list: [21, 53, 3, 97, 58, 32, -62, 61, -95]

Pass 1:
  Compare 21 and 53
  No swap needed
  Compare 53 and 3
  Swap 53 and 3
  List after swap: [21, 3, 53, 97, 58, 32, -62, 61, -95]
  Compare 53 and 97
  No swap needed
  Compare 97 and 58
  Swap 97 and 58
  List after swap: [21, 3, 53, 58, 97, 32, -62, 61, -95]
  Compare 97 and 32
  Swap 97 and 32
  List after swap: [21, 3, 53, 58, 32, 97, -62, 61, -95]
  Compare 97 and -62
  Swap 97 and -62
  List after swap: [21, 3, 53, 58, 32, -62, 97, 61, -95]
  Compare 97 and 61
  Swap 97 and 61
  List after swap: [21, 3, 53, 58, 32, -62, 61, 97, -95]
  Compare 97 and -95
  Swap 97 and -95
  List after swap: [21, 3, 53, 58, 32, -62, 61, -95, 97]

Pass 2:
  Compare 21 and 3
  Swap 21 and 3
  List after swap: [3, 21, 53, 58, 32, -62, 61, -95, 97]
  Compare 21 and 53
  No swap needed
  Compare 53 and 58
  No swap needed
  Compare 58 and 32
  Swap 58 and 32
  List after swap: [3, 21, 53, 32, 58, -62, 61, -95, 97]
  Compare 58 and -62
  Swap 58 and -62
  List after swap: [3, 21, 53, 32, -62, 58, 61, -95, 97]
  Compare 58 and 61
  No swap needed
  Compare 61 and -95
  Swap 61 and -95
  List after swap: [3, 21, 53, 32, -62, 58, -95, 61, 97]

Pass 3:
  Compare 3 and 21
  No swap needed
  Compare 21 and 53
  No swap needed
  Compare 53 and 32
  Swap 53 and 32
  List after swap: [3, 21, 32, 53, -62, 58, -95, 61, 97]
  Compare 53 and -62
  Swap 53 and -62
  List after swap: [3, 21, 32, -62, 53, 58, -95, 61, 97]
  Compare 53 and 58
  No swap needed
  Compare 58 and -95
  Swap 58 and -95
  List after swap: [3, 21, 32, -62, 53, -95, 58, 61, 97]

Pass 4:
  Compare 3 and 21
  No swap needed
  Compare 21 and 32
  No swap needed
  Compare 32 and -62
  Swap 32 and -62
  List after swap: [3, 21, -62, 32, 53, -95, 58, 61, 97]
  Compare 32 and 53
  No swap needed
  Compare 53 and -95
  Swap 53 and -95
  List after swap: [3, 21, -62, 32, -95, 53, 58, 61, 97]

Pass 5:
  Compare 3 and 21
  No swap needed
  Compare 21 and -62
  Swap 21 and -62
  List after swap: [3, -62, 21, 32, -95, 53, 58, 61, 97]
  Compare 21 and 32
  No swap needed
  Compare 32 and -95
  Swap 32 and -95
  List after swap: [3, -62, 21, -95, 32, 53, 58, 61, 97]

Pass 6:
  Compare 3 and -62
  Swap 3 and -62
  List after swap: [-62, 3, 21, -95, 32, 53, 58, 61, 97]
  Compare 3 and 21
  No swap needed
  Compare 21 and -95
  Swap 21 and -95
  List after swap: [-62, 3, -95, 21, 32, 53, 58, 61, 97]

Pass 7:
  Compare -62 and 3
  No swap needed
  Compare 3 and -95
  Swap 3 and -95
  List after swap: [-62, -95, 3, 21, 32, 53, 58, 61, 97]

Pass 8:
  Compare -62 and -95
  Swap -62 and -95
  List after swap: [-95, -62, 3, 21, 32, 53, 58, 61, 97]

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

Final sorted list: [-95, -62, 3, 21, 32, 53, 58, 61, 97]
</think>

<response>-95, -62, 3, 21, 32, 53, 58, 61, 97</response>


input: Carry out the bubble sort algorithm on 43, 77, -75, 70, 15, -9 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [43, 77, -75, 70, 15, -9]

Pass 1:
  Compare 43 and 77
  No swap needed
  Compare 77 and -75
  Swap 77 and -75
  List after swap: [43, -75, 77, 70, 15, -9]
  Compare 77 and 70
  Swap 77 and 70
  List after swap: [43, -75, 70, 77, 15, -9]
  Compare 77 and 15
  Swap 77 and 15
  List after swap: [43, -75, 70, 15, 77, -9]
  Compare 77 and -9
  Swap 77 and -9
  List after swap: [43, -75, 70, 15, -9, 77]

Pass 2:
  Compare 43 and -75
  Swap 43 and -75
  List after swap: [-75, 43, 70, 15, -9, 77]
  Compare 43 and 70
  No swap needed
  Compare 70 and 15
  Swap 70 and 15
  List after swap: [-75, 43, 15, 70, -9, 77]
  Compare 70 and -9
  Swap 70 and -9
  List after swap: [-75, 43, 15, -9, 70, 77]

Pass 3:
  Compare -75 and 43
  No swap needed
  Compare 43 and 15
  Swap 43 and 15
  List after swap: [-75, 15, 43, -9, 70, 77]
  Compare 43 and -9
  Swap 43 and -9
  List after swap: [-75, 15, -9, 43, 70, 77]

Pass 4:
  Compare -75 and 15
  No swap needed
  Compare 15 and -9
  Swap 15 and -9
  List after swap: [-75, -9, 15, 43, 70, 77]

Pass 5:
  Compare -75 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -9, 15, 43, 70, 77]
</think>

<response>-75, -9, 15, 43, 70, 77</response>


input: Arrange the numbers 96, -58, 99, 28, -88, -96, -13, 24, 93 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [96, -58, 99, 28, -88, -96, -13, 24, 93]

Pass 1:
  Compare 96 and -58
  Swap 96 and -58
  List after swap: [-58, 96, 99, 28, -88, -96, -13, 24, 93]
  Compare 96 and 99
  No swap needed
  Compare 99 and 28
  Swap 99 and 28
  List after swap: [-58, 96, 28, 99, -88, -96, -13, 24, 93]
  Compare 99 and -88
  Swap 99 and -88
  List after swap: [-58, 96, 28, -88, 99, -96, -13, 24, 93]
  Compare 99 and -96
  Swap 99 and -96
  List after swap: [-58, 96, 28, -88, -96, 99, -13, 24, 93]
  Compare 99 and -13
  Swap 99 and -13
  List after swap: [-58, 96, 28, -88, -96, -13, 99, 24, 93]
  Compare 99 and 24
  Swap 99 and 24
  List after swap: [-58, 96, 28, -88, -96, -13, 24, 99, 93]
  Compare 99 and 93
  Swap 99 and 93
  List after swap: [-58, 96, 28, -88, -96, -13, 24, 93, 99]

Pass 2:
  Compare -58 and 96
  No swap needed
  Compare 96 and 28
  Swap 96 and 28
  List after swap: [-58, 28, 96, -88, -96, -13, 24, 93, 99]
  Compare 96 and -88
  Swap 96 and -88
  List after swap: [-58, 28, -88, 96, -96, -13, 24, 93, 99]
  Compare 96 and -96
  Swap 96 and -96
  List after swap: [-58, 28, -88, -96, 96, -13, 24, 93, 99]
  Compare 96 and -13
  Swap 96 and -13
  List after swap: [-58, 28, -88, -96, -13, 96, 24, 93, 99]
  Compare 96 and 24
  Swap 96 and 24
  List after swap: [-58, 28, -88, -96, -13, 24, 96, 93, 99]
  Compare 96 and 93
  Swap 96 and 93
  List after swap: [-58, 28, -88, -96, -13, 24, 93, 96, 99]

Pass 3:
  Compare -58 and 28
  No swap needed
  Compare 28 and -88
  Swap 28 and -88
  List after swap: [-58, -88, 28, -96, -13, 24, 93, 96, 99]
  Compare 28 and -96
  Swap 28 and -96
  List after swap: [-58, -88, -96, 28, -13, 24, 93, 96, 99]
  Compare 28 and -13
  Swap 28 and -13
  List after swap: [-58, -88, -96, -13, 28, 24, 93, 96, 99]
  Compare 28 and 24
  Swap 28 and 24
  List after swap: [-58, -88, -96, -13, 24, 28, 93, 96, 99]
  Compare 28 and 93
  No swap needed

Pass 4:
  Compare -58 and -88
  Swap -58 and -88
  List after swap: [-88, -58, -96, -13, 24, 28, 93, 96, 99]
  Compare -58 and -96
  Swap -58 and -96
  List after swap: [-88, -96, -58, -13, 24, 28, 93, 96, 99]
  Compare -58 and -13
  No swap needed
  Compare -13 and 24
  No swap needed
  Compare 24 and 28
  No swap needed

Pass 5:
  Compare -88 and -96
  Swap -88 and -96
  List after swap: [-96, -88, -58, -13, 24, 28, 93, 96, 99]
  Compare -88 and -58
  No swap needed
  Compare -58 and -13
  No swap needed
  Compare -13 and 24
  No swap needed

Pass 6:
  Compare -96 and -88
  No swap needed
  Compare -88 and -58
  No swap needed
  Compare -58 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -88, -58, -13, 24, 28, 93, 96, 99]
</think>

<response>-96, -88, -58, -13, 24, 28, 93, 96, 99</response>


input: Sort these integers 53, 22, -44, -83, -6, -21 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [53, 22, -44, -83, -6, -21]

Pass 1:
  Compare 53 and 22
  Swap 53 and 22
  List after swap: [22, 53, -44, -83, -6, -21]
  Compare 53 and -44
  Swap 53 and -44
  List after swap: [22, -44, 53, -83, -6, -21]
  Compare 53 and -83
  Swap 53 and -83
  List after swap: [22, -44, -83, 53, -6, -21]
  Compare 53 and -6
  Swap 53 and -6
  List after swap: [22, -44, -83, -6, 53, -21]
  Compare 53 and -21
  Swap 53 and -21
  List after swap: [22, -44, -83, -6, -21, 53]

Pass 2:
  Compare 22 and -44
  Swap 22 and -44
  List after swap: [-44, 22, -83, -6, -21, 53]
  Compare 22 and -83
  Swap 22 and -83
  List after swap: [-44, -83, 22, -6, -21, 53]
  Compare 22 and -6
  Swap 22 and -6
  List after swap: [-44, -83, -6, 22, -21, 53]
  Compare 22 and -21
  Swap 22 and -21
  List after swap: [-44, -83, -6, -21, 22, 53]

Pass 3:
  Compare -44 and -83
  Swap -44 and -83
  List after swap: [-83, -44, -6, -21, 22, 53]
  Compare -44 and -6
  No swap needed
  Compare -6 and -21
  Swap -6 and -21
  List after swap: [-83, -44, -21, -6, 22, 53]

Pass 4:
  Compare -83 and -44
  No swap needed
  Compare -44 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -44, -21, -6, 22, 53]
</think>

<response>-83, -44, -21, -6, 22, 53</response>


input: Sort the list 84, -53, -78, 51, 52, 79, 11 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [84, -53, -78, 51, 52, 79, 11]

Pass 1:
  Compare 84 and -53
  Swap 84 and -53
  List after swap: [-53, 84, -78, 51, 52, 79, 11]
  Compare 84 and -78
  Swap 84 and -78
  List after swap: [-53, -78, 84, 51, 52, 79, 11]
  Compare 84 and 51
  Swap 84 and 51
  List after swap: [-53, -78, 51, 84, 52, 79, 11]
  Compare 84 and 52
  Swap 84 and 52
  List after swap: [-53, -78, 51, 52, 84, 79, 11]
  Compare 84 and 79
  Swap 84 and 79
  List after swap: [-53, -78, 51, 52, 79, 84, 11]
  Compare 84 and 11
  Swap 84 and 11
  List after swap: [-53, -78, 51, 52, 79, 11, 84]

Pass 2:
  Compare -53 and -78
  Swap -53 and -78
  List after swap: [-78, -53, 51, 52, 79, 11, 84]
  Compare -53 and 51
  No swap needed
  Compare 51 and 52
  No swap needed
  Compare 52 and 79
  No swap needed
  Compare 79 and 11
  Swap 79 and 11
  List after swap: [-78, -53, 51, 52, 11, 79, 84]

Pass 3:
  Compare -78 and -53
  No swap needed
  Compare -53 and 51
  No swap needed
  Compare 51 and 52
  No swap needed
  Compare 52 and 11
  Swap 52 and 11
  List after swap: [-78, -53, 51, 11, 52, 79, 84]

Pass 4:
  Compare -78 and -53
  No swap needed
  Compare -53 and 51
  No swap needed
  Compare 51 and 11
  Swap 51 and 11
  List after swap: [-78, -53, 11, 51, 52, 79, 84]

Pass 5:
  Compare -78 and -53
  No swap needed
  Compare -53 and 11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -53, 11, 51, 52, 79, 84]
</think>

<response>-78, -53, 11, 51, 52, 79, 84</response>


input: Demonstrate how bubble sort orders the integers -75, -74, 56, -7 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-75, -74, 56, -7]

Pass 1:
  Compare -75 and -74
  No swap needed
  Compare -74 and 56
  No swap needed
  Compare 56 and -7
  Swap 56 and -7
  List after swap: [-75, -74, -7, 56]

Pass 2:
  Compare -75 and -74
  No swap needed
  Compare -74 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -74, -7, 56]
</think>

<response>-75, -74, -7, 56</response>


input: Demonstrate how bubble sort orders the integers -15, 80 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-15, 80]

Pass 1:
  Compare -15 and 80
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-15, 80]
</think>

<response>-15, 80</response>


input: Sort these integers 92, 81, -9 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [92, 81, -9]

Pass 1:
  Compare 92 and 81
  Swap 92 and 81
  List after swap: [81, 92, -9]
  Compare 92 and -9
  Swap 92 and -9
  List after swap: [81, -9, 92]

Pass 2:
  Compare 81 and -9
  Swap 81 and -9
  List after swap: [-9, 81, 92]

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

Final sorted list: [-9, 81, 92]
</think>

<response>-9, 81, 92</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 62, 3, 45, 29, 17, 78, 68, 51.

output:
<think>
Initial list: [62, 3, 45, 29, 17, 78, 68, 51]

Pass 1:
  Compare 62 and 3
  Swap 62 and 3
  List after swap: [3, 62, 45, 29, 17, 78, 68, 51]
  Compare 62 and 45
  Swap 62 and 45
  List after swap: [3, 45, 62, 29, 17, 78, 68, 51]
  Compare 62 and 29
  Swap 62 and 29
  List after swap: [3, 45, 29, 62, 17, 78, 68, 51]
  Compare 62 and 17
  Swap 62 and 17
  List after swap: [3, 45, 29, 17, 62, 78, 68, 51]
  Compare 62 and 78
  No swap needed
  Compare 78 and 68
  Swap 78 and 68
  List after swap: [3, 45, 29, 17, 62, 68, 78, 51]
  Compare 78 and 51
  Swap 78 and 51
  List after swap: [3, 45, 29, 17, 62, 68, 51, 78]

Pass 2:
  Compare 3 and 45
  No swap needed
  Compare 45 and 29
  Swap 45 and 29
  List after swap: [3, 29, 45, 17, 62, 68, 51, 78]
  Compare 45 and 17
  Swap 45 and 17
  List after swap: [3, 29, 17, 45, 62, 68, 51, 78]
  Compare 45 and 62
  No swap needed
  Compare 62 and 68
  No swap needed
  Compare 68 and 51
  Swap 68 and 51
  List after swap: [3, 29, 17, 45, 62, 51, 68, 78]

Pass 3:
  Compare 3 and 29
  No swap needed
  Compare 29 and 17
  Swap 29 and 17
  List after swap: [3, 17, 29, 45, 62, 51, 68, 78]
  Compare 29 and 45
  No swap needed
  Compare 45 and 62
  No swap needed
  Compare 62 and 51
  Swap 62 and 51
  List after swap: [3, 17, 29, 45, 51, 62, 68, 78]

Pass 4:
  Compare 3 and 17
  No swap needed
  Compare 17 and 29
  No swap needed
  Compare 29 and 45
  No swap needed
  Compare 45 and 51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [3, 17, 29, 45, 51, 62, 68, 78]
</think>

<response>3, 17, 29, 45, 51, 62, 68, 78</response>


input: Implement bubble sort on 52, -27 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [52, -27]

Pass 1:
  Compare 52 and -27
  Swap 52 and -27
  List after swap: [-27, 52]

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

Final sorted list: [-27, 52]
</think>

<response>-27, 52</response>


input: Carry out the bubble sort algorithm on 54, -25, -88, 72, 14, -74, -100, 25 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [54, -25, -88, 72, 14, -74, -100, 25]

Pass 1:
  Compare 54 and -25
  Swap 54 and -25
  List after swap: [-25, 54, -88, 72, 14, -74, -100, 25]
  Compare 54 and -88
  Swap 54 and -88
  List after swap: [-25, -88, 54, 72, 14, -74, -100, 25]
  Compare 54 and 72
  No swap needed
  Compare 72 and 14
  Swap 72 and 14
  List after swap: [-25, -88, 54, 14, 72, -74, -100, 25]
  Compare 72 and -74
  Swap 72 and -74
  List after swap: [-25, -88, 54, 14, -74, 72, -100, 25]
  Compare 72 and -100
  Swap 72 and -100
  List after swap: [-25, -88, 54, 14, -74, -100, 72, 25]
  Compare 72 and 25
  Swap 72 and 25
  List after swap: [-25, -88, 54, 14, -74, -100, 25, 72]

Pass 2:
  Compare -25 and -88
  Swap -25 and -88
  List after swap: [-88, -25, 54, 14, -74, -100, 25, 72]
  Compare -25 and 54
  No swap needed
  Compare 54 and 14
  Swap 54 and 14
  List after swap: [-88, -25, 14, 54, -74, -100, 25, 72]
  Compare 54 and -74
  Swap 54 and -74
  List after swap: [-88, -25, 14, -74, 54, -100, 25, 72]
  Compare 54 and -100
  Swap 54 and -100
  List after swap: [-88, -25, 14, -74, -100, 54, 25, 72]
  Compare 54 and 25
  Swap 54 and 25
  List after swap: [-88, -25, 14, -74, -100, 25, 54, 72]

Pass 3:
  Compare -88 and -25
  No swap needed
  Compare -25 and 14
  No swap needed
  Compare 14 and -74
  Swap 14 and -74
  List after swap: [-88, -25, -74, 14, -100, 25, 54, 72]
  Compare 14 and -100
  Swap 14 and -100
  List after swap: [-88, -25, -74, -100, 14, 25, 54, 72]
  Compare 14 and 25
  No swap needed

Pass 4:
  Compare -88 and -25
  No swap needed
  Compare -25 and -74
  Swap -25 and -74
  List after swap: [-88, -74, -25, -100, 14, 25, 54, 72]
  Compare -25 and -100
  Swap -25 and -100
  List after swap: [-88, -74, -100, -25, 14, 25, 54, 72]
  Compare -25 and 14
  No swap needed

Pass 5:
  Compare -88 and -74
  No swap needed
  Compare -74 and -100
  Swap -74 and -100
  List after swap: [-88, -100, -74, -25, 14, 25, 54, 72]
  Compare -74 and -25
  No swap needed

Pass 6:
  Compare -88 and -100
  Swap -88 and -100
  List after swap: [-100, -88, -74, -25, 14, 25, 54, 72]
  Compare -88 and -74
  No swap needed

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

Final sorted list: [-100, -88, -74, -25, 14, 25, 54, 72]
</think>

<response>-100, -88, -74, -25, 14, 25, 54, 72</response>


input: Execute bubble sort to sort 77, -69, -71, -50, -32, -37 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [77, -69, -71, -50, -32, -37]

Pass 1:
  Compare 77 and -69
  Swap 77 and -69
  List after swap: [-69, 77, -71, -50, -32, -37]
  Compare 77 and -71
  Swap 77 and -71
  List after swap: [-69, -71, 77, -50, -32, -37]
  Compare 77 and -50
  Swap 77 and -50
  List after swap: [-69, -71, -50, 77, -32, -37]
  Compare 77 and -32
  Swap 77 and -32
  List after swap: [-69, -71, -50, -32, 77, -37]
  Compare 77 and -37
  Swap 77 and -37
  List after swap: [-69, -71, -50, -32, -37, 77]

Pass 2:
  Compare -69 and -71
  Swap -69 and -71
  List after swap: [-71, -69, -50, -32, -37, 77]
  Compare -69 and -50
  No swap needed
  Compare -50 and -32
  No swap needed
  Compare -32 and -37
  Swap -32 and -37
  List after swap: [-71, -69, -50, -37, -32, 77]

Pass 3:
  Compare -71 and -69
  No swap needed
  Compare -69 and -50
  No swap needed
  Compare -50 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -69, -50, -37, -32, 77]
</think>

<response>-71, -69, -50, -37, -32, 77</response>


input: Perform a bubble sort on the integers -1, 80, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-1, 80]

Pass 1:
  Compare -1 and 80
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-1, 80]
</think>

<response>-1, 80</response>


input: Sort these integers 92, -78, 22 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [92, -78, 22]

Pass 1:
  Compare 92 and -78
  Swap 92 and -78
  List after swap: [-78, 92, 22]
  Compare 92 and 22
  Swap 92 and 22
  List after swap: [-78, 22, 92]

Pass 2:
  Compare -78 and 22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, 22, 92]
</think>

<response>-78, 22, 92</response>


input: Sort the list 1, -17, -58, 69, -83, -67, 99 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [1, -17, -58, 69, -83, -67, 99]

Pass 1:
  Compare 1 and -17
  Swap 1 and -17
  List after swap: [-17, 1, -58, 69, -83, -67, 99]
  Compare 1 and -58
  Swap 1 and -58
  List after swap: [-17, -58, 1, 69, -83, -67, 99]
  Compare 1 and 69
  No swap needed
  Compare 69 and -83
  Swap 69 and -83
  List after swap: [-17, -58, 1, -83, 69, -67, 99]
  Compare 69 and -67
  Swap 69 and -67
  List after swap: [-17, -58, 1, -83, -67, 69, 99]
  Compare 69 and 99
  No swap needed

Pass 2:
  Compare -17 and -58
  Swap -17 and -58
  List after swap: [-58, -17, 1, -83, -67, 69, 99]
  Compare -17 and 1
  No swap needed
  Compare 1 and -83
  Swap 1 and -83
  List after swap: [-58, -17, -83, 1, -67, 69, 99]
  Compare 1 and -67
  Swap 1 and -67
  List after swap: [-58, -17, -83, -67, 1, 69, 99]
  Compare 1 and 69
  No swap needed

Pass 3:
  Compare -58 and -17
  No swap needed
  Compare -17 and -83
  Swap -17 and -83
  List after swap: [-58, -83, -17, -67, 1, 69, 99]
  Compare -17 and -67
  Swap -17 and -67
  List after swap: [-58, -83, -67, -17, 1, 69, 99]
  Compare -17 and 1
  No swap needed

Pass 4:
  Compare -58 and -83
  Swap -58 and -83
  List after swap: [-83, -58, -67, -17, 1, 69, 99]
  Compare -58 and -67
  Swap -58 and -67
  List after swap: [-83, -67, -58, -17, 1, 69, 99]
  Compare -58 and -17
  No swap needed

Pass 5:
  Compare -83 and -67
  No swap needed
  Compare -67 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -67, -58, -17, 1, 69, 99]
</think>

<response>-83, -67, -58, -17, 1, 69, 99</response>


input: Sort these integers -55, 45, -44, 65, 52, 21, -46, 53, -94 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-55, 45, -44, 65, 52, 21, -46, 53, -94]

Pass 1:
  Compare -55 and 45
  No swap needed
  Compare 45 and -44
  Swap 45 and -44
  List after swap: [-55, -44, 45, 65, 52, 21, -46, 53, -94]
  Compare 45 and 65
  No swap needed
  Compare 65 and 52
  Swap 65 and 52
  List after swap: [-55, -44, 45, 52, 65, 21, -46, 53, -94]
  Compare 65 and 21
  Swap 65 and 21
  List after swap: [-55, -44, 45, 52, 21, 65, -46, 53, -94]
  Compare 65 and -46
  Swap 65 and -46
  List after swap: [-55, -44, 45, 52, 21, -46, 65, 53, -94]
  Compare 65 and 53
  Swap 65 and 53
  List after swap: [-55, -44, 45, 52, 21, -46, 53, 65, -94]
  Compare 65 and -94
  Swap 65 and -94
  List after swap: [-55, -44, 45, 52, 21, -46, 53, -94, 65]

Pass 2:
  Compare -55 and -44
  No swap needed
  Compare -44 and 45
  No swap needed
  Compare 45 and 52
  No swap needed
  Compare 52 and 21
  Swap 52 and 21
  List after swap: [-55, -44, 45, 21, 52, -46, 53, -94, 65]
  Compare 52 and -46
  Swap 52 and -46
  List after swap: [-55, -44, 45, 21, -46, 52, 53, -94, 65]
  Compare 52 and 53
  No swap needed
  Compare 53 and -94
  Swap 53 and -94
  List after swap: [-55, -44, 45, 21, -46, 52, -94, 53, 65]

Pass 3:
  Compare -55 and -44
  No swap needed
  Compare -44 and 45
  No swap needed
  Compare 45 and 21
  Swap 45 and 21
  List after swap: [-55, -44, 21, 45, -46, 52, -94, 53, 65]
  Compare 45 and -46
  Swap 45 and -46
  List after swap: [-55, -44, 21, -46, 45, 52, -94, 53, 65]
  Compare 45 and 52
  No swap needed
  Compare 52 and -94
  Swap 52 and -94
  List after swap: [-55, -44, 21, -46, 45, -94, 52, 53, 65]

Pass 4:
  Compare -55 and -44
  No swap needed
  Compare -44 and 21
  No swap needed
  Compare 21 and -46
  Swap 21 and -46
  List after swap: [-55, -44, -46, 21, 45, -94, 52, 53, 65]
  Compare 21 and 45
  No swap needed
  Compare 45 and -94
  Swap 45 and -94
  List after swap: [-55, -44, -46, 21, -94, 45, 52, 53, 65]

Pass 5:
  Compare -55 and -44
  No swap needed
  Compare -44 and -46
  Swap -44 and -46
  List after swap: [-55, -46, -44, 21, -94, 45, 52, 53, 65]
  Compare -44 and 21
  No swap needed
  Compare 21 and -94
  Swap 21 and -94
  List after swap: [-55, -46, -44, -94, 21, 45, 52, 53, 65]

Pass 6:
  Compare -55 and -46
  No swap needed
  Compare -46 and -44
  No swap needed
  Compare -44 and -94
  Swap -44 and -94
  List after swap: [-55, -46, -94, -44, 21, 45, 52, 53, 65]

Pass 7:
  Compare -55 and -46
  No swap needed
  Compare -46 and -94
  Swap -46 and -94
  List after swap: [-55, -94, -46, -44, 21, 45, 52, 53, 65]

Pass 8:
  Compare -55 and -94
  Swap -55 and -94
  List after swap: [-94, -55, -46, -44, 21, 45, 52, 53, 65]

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

Final sorted list: [-94, -55, -46, -44, 21, 45, 52, 53, 65]
</think>

<response>-94, -55, -46, -44, 21, 45, 52, 53, 65</response>


input: Carry out the bubble sort algorithm on 16, 2, -18, 38, 88, 70, 80 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [16, 2, -18, 38, 88, 70, 80]

Pass 1:
  Compare 16 and 2
  Swap 16 and 2
  List after swap: [2, 16, -18, 38, 88, 70, 80]
  Compare 16 and -18
  Swap 16 and -18
  List after swap: [2, -18, 16, 38, 88, 70, 80]
  Compare 16 and 38
  No swap needed
  Compare 38 and 88
  No swap needed
  Compare 88 and 70
  Swap 88 and 70
  List after swap: [2, -18, 16, 38, 70, 88, 80]
  Compare 88 and 80
  Swap 88 and 80
  List after swap: [2, -18, 16, 38, 70, 80, 88]

Pass 2:
  Compare 2 and -18
  Swap 2 and -18
  List after swap: [-18, 2, 16, 38, 70, 80, 88]
  Compare 2 and 16
  No swap needed
  Compare 16 and 38
  No swap needed
  Compare 38 and 70
  No swap needed
  Compare 70 and 80
  No swap needed

Pass 3:
  Compare -18 and 2
  No swap needed
  Compare 2 and 16
  No swap needed
  Compare 16 and 38
  No swap needed
  Compare 38 and 70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-18, 2, 16, 38, 70, 80, 88]
</think>

<response>-18, 2, 16, 38, 70, 80, 88</response>


input: Demonstrate how bubble sort orders the integers -27, 46, 81, -11 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-27, 46, 81, -11]

Pass 1:
  Compare -27 and 46
  No swap needed
  Compare 46 and 81
  No swap needed
  Compare 81 and -11
  Swap 81 and -11
  List after swap: [-27, 46, -11, 81]

Pass 2:
  Compare -27 and 46
  No swap needed
  Compare 46 and -11
  Swap 46 and -11
  List after swap: [-27, -11, 46, 81]

Pass 3:
  Compare -27 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-27, -11, 46, 81]
</think>

<response>-27, -11, 46, 81</response>


input: Perform a bubble sort on the integers 19, -7, -28, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [19, -7, -28]

Pass 1:
  Compare 19 and -7
  Swap 19 and -7
  List after swap: [-7, 19, -28]
  Compare 19 and -28
  Swap 19 and -28
  List after swap: [-7, -28, 19]

Pass 2:
  Compare -7 and -28
  Swap -7 and -28
  List after swap: [-28, -7, 19]

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

Final sorted list: [-28, -7, 19]
</think>

<response>-28, -7, 19</response>


input: Using the bubble sort method, sort 61, 25, -31 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [61, 25, -31]

Pass 1:
  Compare 61 and 25
  Swap 61 and 25
  List after swap: [25, 61, -31]
  Compare 61 and -31
  Swap 61 and -31
  List after swap: [25, -31, 61]

Pass 2:
  Compare 25 and -31
  Swap 25 and -31
  List after swap: [-31, 25, 61]

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

Final sorted list: [-31, 25, 61]
</think>

<response>-31, 25, 61</response>


input: Sort the list 6, 43, -69, 70, -65, -74 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [6, 43, -69, 70, -65, -74]

Pass 1:
  Compare 6 and 43
  No swap needed
  Compare 43 and -69
  Swap 43 and -69
  List after swap: [6, -69, 43, 70, -65, -74]
  Compare 43 and 70
  No swap needed
  Compare 70 and -65
  Swap 70 and -65
  List after swap: [6, -69, 43, -65, 70, -74]
  Compare 70 and -74
  Swap 70 and -74
  List after swap: [6, -69, 43, -65, -74, 70]

Pass 2:
  Compare 6 and -69
  Swap 6 and -69
  List after swap: [-69, 6, 43, -65, -74, 70]
  Compare 6 and 43
  No swap needed
  Compare 43 and -65
  Swap 43 and -65
  List after swap: [-69, 6, -65, 43, -74, 70]
  Compare 43 and -74
  Swap 43 and -74
  List after swap: [-69, 6, -65, -74, 43, 70]

Pass 3:
  Compare -69 and 6
  No swap needed
  Compare 6 and -65
  Swap 6 and -65
  List after swap: [-69, -65, 6, -74, 43, 70]
  Compare 6 and -74
  Swap 6 and -74
  List after swap: [-69, -65, -74, 6, 43, 70]

Pass 4:
  Compare -69 and -65
  No swap needed
  Compare -65 and -74
  Swap -65 and -74
  List after swap: [-69, -74, -65, 6, 43, 70]

Pass 5:
  Compare -69 and -74
  Swap -69 and -74
  List after swap: [-74, -69, -65, 6, 43, 70]

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

Final sorted list: [-74, -69, -65, 6, 43, 70]
</think>

<response>-74, -69, -65, 6, 43, 70</response>


input: Using the bubble sort method, sort -50, 79, -8, -65, -20, 32, -30, 44 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-50, 79, -8, -65, -20, 32, -30, 44]

Pass 1:
  Compare -50 and 79
  No swap needed
  Compare 79 and -8
  Swap 79 and -8
  List after swap: [-50, -8, 79, -65, -20, 32, -30, 44]
  Compare 79 and -65
  Swap 79 and -65
  List after swap: [-50, -8, -65, 79, -20, 32, -30, 44]
  Compare 79 and -20
  Swap 79 and -20
  List after swap: [-50, -8, -65, -20, 79, 32, -30, 44]
  Compare 79 and 32
  Swap 79 and 32
  List after swap: [-50, -8, -65, -20, 32, 79, -30, 44]
  Compare 79 and -30
  Swap 79 and -30
  List after swap: [-50, -8, -65, -20, 32, -30, 79, 44]
  Compare 79 and 44
  Swap 79 and 44
  List after swap: [-50, -8, -65, -20, 32, -30, 44, 79]

Pass 2:
  Compare -50 and -8
  No swap needed
  Compare -8 and -65
  Swap -8 and -65
  List after swap: [-50, -65, -8, -20, 32, -30, 44, 79]
  Compare -8 and -20
  Swap -8 and -20
  List after swap: [-50, -65, -20, -8, 32, -30, 44, 79]
  Compare -8 and 32
  No swap needed
  Compare 32 and -30
  Swap 32 and -30
  List after swap: [-50, -65, -20, -8, -30, 32, 44, 79]
  Compare 32 and 44
  No swap needed

Pass 3:
  Compare -50 and -65
  Swap -50 and -65
  List after swap: [-65, -50, -20, -8, -30, 32, 44, 79]
  Compare -50 and -20
  No swap needed
  Compare -20 and -8
  No swap needed
  Compare -8 and -30
  Swap -8 and -30
  List after swap: [-65, -50, -20, -30, -8, 32, 44, 79]
  Compare -8 and 32
  No swap needed

Pass 4:
  Compare -65 and -50
  No swap needed
  Compare -50 and -20
  No swap needed
  Compare -20 and -30
  Swap -20 and -30
  List after swap: [-65, -50, -30, -20, -8, 32, 44, 79]
  Compare -20 and -8
  No swap needed

Pass 5:
  Compare -65 and -50
  No swap needed
  Compare -50 and -30
  No swap needed
  Compare -30 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -50, -30, -20, -8, 32, 44, 79]
</think>

<response>-65, -50, -30, -20, -8, 32, 44, 79</response>


input: Perform a bubble sort on the integers -4, -25, -63, 30, -78, 63, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-4, -25, -63, 30, -78, 63]

Pass 1:
  Compare -4 and -25
  Swap -4 and -25
  List after swap: [-25, -4, -63, 30, -78, 63]
  Compare -4 and -63
  Swap -4 and -63
  List after swap: [-25, -63, -4, 30, -78, 63]
  Compare -4 and 30
  No swap needed
  Compare 30 and -78
  Swap 30 and -78
  List after swap: [-25, -63, -4, -78, 30, 63]
  Compare 30 and 63
  No swap needed

Pass 2:
  Compare -25 and -63
  Swap -25 and -63
  List after swap: [-63, -25, -4, -78, 30, 63]
  Compare -25 and -4
  No swap needed
  Compare -4 and -78
  Swap -4 and -78
  List after swap: [-63, -25, -78, -4, 30, 63]
  Compare -4 and 30
  No swap needed

Pass 3:
  Compare -63 and -25
  No swap needed
  Compare -25 and -78
  Swap -25 and -78
  List after swap: [-63, -78, -25, -4, 30, 63]
  Compare -25 and -4
  No swap needed

Pass 4:
  Compare -63 and -78
  Swap -63 and -78
  List after swap: [-78, -63, -25, -4, 30, 63]
  Compare -63 and -25
  No swap needed

Pass 5:
  Compare -78 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -63, -25, -4, 30, 63]
</think>

<response>-78, -63, -25, -4, 30, 63</response>


input: Demonstrate how bubble sort orders the integers 95, 47, -25, -39, 30, -20, 67, 73, -51 in ascending sequence, showing all steps.

output:
<think>
Initial list: [95, 47, -25, -39, 30, -20, 67, 73, -51]

Pass 1:
  Compare 95 and 47
  Swap 95 and 47
  List after swap: [47, 95, -25, -39, 30, -20, 67, 73, -51]
  Compare 95 and -25
  Swap 95 and -25
  List after swap: [47, -25, 95, -39, 30, -20, 67, 73, -51]
  Compare 95 and -39
  Swap 95 and -39
  List after swap: [47, -25, -39, 95, 30, -20, 67, 73, -51]
  Compare 95 and 30
  Swap 95 and 30
  List after swap: [47, -25, -39, 30, 95, -20, 67, 73, -51]
  Compare 95 and -20
  Swap 95 and -20
  List after swap: [47, -25, -39, 30, -20, 95, 67, 73, -51]
  Compare 95 and 67
  Swap 95 and 67
  List after swap: [47, -25, -39, 30, -20, 67, 95, 73, -51]
  Compare 95 and 73
  Swap 95 and 73
  List after swap: [47, -25, -39, 30, -20, 67, 73, 95, -51]
  Compare 95 and -51
  Swap 95 and -51
  List after swap: [47, -25, -39, 30, -20, 67, 73, -51, 95]

Pass 2:
  Compare 47 and -25
  Swap 47 and -25
  List after swap: [-25, 47, -39, 30, -20, 67, 73, -51, 95]
  Compare 47 and -39
  Swap 47 and -39
  List after swap: [-25, -39, 47, 30, -20, 67, 73, -51, 95]
  Compare 47 and 30
  Swap 47 and 30
  List after swap: [-25, -39, 30, 47, -20, 67, 73, -51, 95]
  Compare 47 and -20
  Swap 47 and -20
  List after swap: [-25, -39, 30, -20, 47, 67, 73, -51, 95]
  Compare 47 and 67
  No swap needed
  Compare 67 and 73
  No swap needed
  Compare 73 and -51
  Swap 73 and -51
  List after swap: [-25, -39, 30, -20, 47, 67, -51, 73, 95]

Pass 3:
  Compare -25 and -39
  Swap -25 and -39
  List after swap: [-39, -25, 30, -20, 47, 67, -51, 73, 95]
  Compare -25 and 30
  No swap needed
  Compare 30 and -20
  Swap 30 and -20
  List after swap: [-39, -25, -20, 30, 47, 67, -51, 73, 95]
  Compare 30 and 47
  No swap needed
  Compare 47 and 67
  No swap needed
  Compare 67 and -51
  Swap 67 and -51
  List after swap: [-39, -25, -20, 30, 47, -51, 67, 73, 95]

Pass 4:
  Compare -39 and -25
  No swap needed
  Compare -25 and -20
  No swap needed
  Compare -20 and 30
  No swap needed
  Compare 30 and 47
  No swap needed
  Compare 47 and -51
  Swap 47 and -51
  List after swap: [-39, -25, -20, 30, -51, 47, 67, 73, 95]

Pass 5:
  Compare -39 and -25
  No swap needed
  Compare -25 and -20
  No swap needed
  Compare -20 and 30
  No swap needed
  Compare 30 and -51
  Swap 30 and -51
  List after swap: [-39, -25, -20, -51, 30, 47, 67, 73, 95]

Pass 6:
  Compare -39 and -25
  No swap needed
  Compare -25 and -20
  No swap needed
  Compare -20 and -51
  Swap -20 and -51
  List after swap: [-39, -25, -51, -20, 30, 47, 67, 73, 95]

Pass 7:
  Compare -39 and -25
  No swap needed
  Compare -25 and -51
  Swap -25 and -51
  List after swap: [-39, -51, -25, -20, 30, 47, 67, 73, 95]

Pass 8:
  Compare -39 and -51
  Swap -39 and -51
  List after swap: [-51, -39, -25, -20, 30, 47, 67, 73, 95]

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

Final sorted list: [-51, -39, -25, -20, 30, 47, 67, 73, 95]
</think>

<response>-51, -39, -25, -20, 30, 47, 67, 73, 95</response>


input: Execute bubble sort to sort 99, 37, 70, 17, 22, 45 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [99, 37, 70, 17, 22, 45]

Pass 1:
  Compare 99 and 37
  Swap 99 and 37
  List after swap: [37, 99, 70, 17, 22, 45]
  Compare 99 and 70
  Swap 99 and 70
  List after swap: [37, 70, 99, 17, 22, 45]
  Compare 99 and 17
  Swap 99 and 17
  List after swap: [37, 70, 17, 99, 22, 45]
  Compare 99 and 22
  Swap 99 and 22
  List after swap: [37, 70, 17, 22, 99, 45]
  Compare 99 and 45
  Swap 99 and 45
  List after swap: [37, 70, 17, 22, 45, 99]

Pass 2:
  Compare 37 and 70
  No swap needed
  Compare 70 and 17
  Swap 70 and 17
  List after swap: [37, 17, 70, 22, 45, 99]
  Compare 70 and 22
  Swap 70 and 22
  List after swap: [37, 17, 22, 70, 45, 99]
  Compare 70 and 45
  Swap 70 and 45
  List after swap: [37, 17, 22, 45, 70, 99]

Pass 3:
  Compare 37 and 17
  Swap 37 and 17
  List after swap: [17, 37, 22, 45, 70, 99]
  Compare 37 and 22
  Swap 37 and 22
  List after swap: [17, 22, 37, 45, 70, 99]
  Compare 37 and 45
  No swap needed

Pass 4:
  Compare 17 and 22
  No swap needed
  Compare 22 and 37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [17, 22, 37, 45, 70, 99]
</think>

<response>17, 22, 37, 45, 70, 99</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 80, 75, 15, -44, -66, -55, -56.

output:
<think>
Initial list: [80, 75, 15, -44, -66, -55, -56]

Pass 1:
  Compare 80 and 75
  Swap 80 and 75
  List after swap: [75, 80, 15, -44, -66, -55, -56]
  Compare 80 and 15
  Swap 80 and 15
  List after swap: [75, 15, 80, -44, -66, -55, -56]
  Compare 80 and -44
  Swap 80 and -44
  List after swap: [75, 15, -44, 80, -66, -55, -56]
  Compare 80 and -66
  Swap 80 and -66
  List after swap: [75, 15, -44, -66, 80, -55, -56]
  Compare 80 and -55
  Swap 80 and -55
  List after swap: [75, 15, -44, -66, -55, 80, -56]
  Compare 80 and -56
  Swap 80 and -56
  List after swap: [75, 15, -44, -66, -55, -56, 80]

Pass 2:
  Compare 75 and 15
  Swap 75 and 15
  List after swap: [15, 75, -44, -66, -55, -56, 80]
  Compare 75 and -44
  Swap 75 and -44
  List after swap: [15, -44, 75, -66, -55, -56, 80]
  Compare 75 and -66
  Swap 75 and -66
  List after swap: [15, -44, -66, 75, -55, -56, 80]
  Compare 75 and -55
  Swap 75 and -55
  List after swap: [15, -44, -66, -55, 75, -56, 80]
  Compare 75 and -56
  Swap 75 and -56
  List after swap: [15, -44, -66, -55, -56, 75, 80]

Pass 3:
  Compare 15 and -44
  Swap 15 and -44
  List after swap: [-44, 15, -66, -55, -56, 75, 80]
  Compare 15 and -66
  Swap 15 and -66
  List after swap: [-44, -66, 15, -55, -56, 75, 80]
  Compare 15 and -55
  Swap 15 and -55
  List after swap: [-44, -66, -55, 15, -56, 75, 80]
  Compare 15 and -56
  Swap 15 and -56
  List after swap: [-44, -66, -55, -56, 15, 75, 80]

Pass 4:
  Compare -44 and -66
  Swap -44 and -66
  List after swap: [-66, -44, -55, -56, 15, 75, 80]
  Compare -44 and -55
  Swap -44 and -55
  List after swap: [-66, -55, -44, -56, 15, 75, 80]
  Compare -44 and -56
  Swap -44 and -56
  List after swap: [-66, -55, -56, -44, 15, 75, 80]

Pass 5:
  Compare -66 and -55
  No swap needed
  Compare -55 and -56
  Swap -55 and -56
  List after swap: [-66, -56, -55, -44, 15, 75, 80]

Pass 6:
  Compare -66 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -56, -55, -44, 15, 75, 80]
</think>

<response>-66, -56, -55, -44, 15, 75, 80</response>


input: Sort these integers 96, -47, 59, 10, 22, 34, 90, -84, 95 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [96, -47, 59, 10, 22, 34, 90, -84, 95]

Pass 1:
  Compare 96 and -47
  Swap 96 and -47
  List after swap: [-47, 96, 59, 10, 22, 34, 90, -84, 95]
  Compare 96 and 59
  Swap 96 and 59
  List after swap: [-47, 59, 96, 10, 22, 34, 90, -84, 95]
  Compare 96 and 10
  Swap 96 and 10
  List after swap: [-47, 59, 10, 96, 22, 34, 90, -84, 95]
  Compare 96 and 22
  Swap 96 and 22
  List after swap: [-47, 59, 10, 22, 96, 34, 90, -84, 95]
  Compare 96 and 34
  Swap 96 and 34
  List after swap: [-47, 59, 10, 22, 34, 96, 90, -84, 95]
  Compare 96 and 90
  Swap 96 and 90
  List after swap: [-47, 59, 10, 22, 34, 90, 96, -84, 95]
  Compare 96 and -84
  Swap 96 and -84
  List after swap: [-47, 59, 10, 22, 34, 90, -84, 96, 95]
  Compare 96 and 95
  Swap 96 and 95
  List after swap: [-47, 59, 10, 22, 34, 90, -84, 95, 96]

Pass 2:
  Compare -47 and 59
  No swap needed
  Compare 59 and 10
  Swap 59 and 10
  List after swap: [-47, 10, 59, 22, 34, 90, -84, 95, 96]
  Compare 59 and 22
  Swap 59 and 22
  List after swap: [-47, 10, 22, 59, 34, 90, -84, 95, 96]
  Compare 59 and 34
  Swap 59 and 34
  List after swap: [-47, 10, 22, 34, 59, 90, -84, 95, 96]
  Compare 59 and 90
  No swap needed
  Compare 90 and -84
  Swap 90 and -84
  List after swap: [-47, 10, 22, 34, 59, -84, 90, 95, 96]
  Compare 90 and 95
  No swap needed

Pass 3:
  Compare -47 and 10
  No swap needed
  Compare 10 and 22
  No swap needed
  Compare 22 and 34
  No swap needed
  Compare 34 and 59
  No swap needed
  Compare 59 and -84
  Swap 59 and -84
  List after swap: [-47, 10, 22, 34, -84, 59, 90, 95, 96]
  Compare 59 and 90
  No swap needed

Pass 4:
  Compare -47 and 10
  No swap needed
  Compare 10 and 22
  No swap needed
  Compare 22 and 34
  No swap needed
  Compare 34 and -84
  Swap 34 and -84
  List after swap: [-47, 10, 22, -84, 34, 59, 90, 95, 96]
  Compare 34 and 59
  No swap needed

Pass 5:
  Compare -47 and 10
  No swap needed
  Compare 10 and 22
  No swap needed
  Compare 22 and -84
  Swap 22 and -84
  List after swap: [-47, 10, -84, 22, 34, 59, 90, 95, 96]
  Compare 22 and 34
  No swap needed

Pass 6:
  Compare -47 and 10
  No swap needed
  Compare 10 and -84
  Swap 10 and -84
  List after swap: [-47, -84, 10, 22, 34, 59, 90, 95, 96]
  Compare 10 and 22
  No swap needed

Pass 7:
  Compare -47 and -84
  Swap -47 and -84
  List after swap: [-84, -47, 10, 22, 34, 59, 90, 95, 96]
  Compare -47 and 10
  No swap needed

Pass 8:
  Compare -84 and -47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -47, 10, 22, 34, 59, 90, 95, 96]
</think>

<response>-84, -47, 10, 22, 34, 59, 90, 95, 96</response>


input: Implement bubble sort on -38, -25, 3, 88, -83, 66, 83, 52, -53, 18 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-38, -25, 3, 88, -83, 66, 83, 52, -53, 18]

Pass 1:
  Compare -38 and -25
  No swap needed
  Compare -25 and 3
  No swap needed
  Compare 3 and 88
  No swap needed
  Compare 88 and -83
  Swap 88 and -83
  List after swap: [-38, -25, 3, -83, 88, 66, 83, 52, -53, 18]
  Compare 88 and 66
  Swap 88 and 66
  List after swap: [-38, -25, 3, -83, 66, 88, 83, 52, -53, 18]
  Compare 88 and 83
  Swap 88 and 83
  List after swap: [-38, -25, 3, -83, 66, 83, 88, 52, -53, 18]
  Compare 88 and 52
  Swap 88 and 52
  List after swap: [-38, -25, 3, -83, 66, 83, 52, 88, -53, 18]
  Compare 88 and -53
  Swap 88 and -53
  List after swap: [-38, -25, 3, -83, 66, 83, 52, -53, 88, 18]
  Compare 88 and 18
  Swap 88 and 18
  List after swap: [-38, -25, 3, -83, 66, 83, 52, -53, 18, 88]

Pass 2:
  Compare -38 and -25
  No swap needed
  Compare -25 and 3
  No swap needed
  Compare 3 and -83
  Swap 3 and -83
  List after swap: [-38, -25, -83, 3, 66, 83, 52, -53, 18, 88]
  Compare 3 and 66
  No swap needed
  Compare 66 and 83
  No swap needed
  Compare 83 and 52
  Swap 83 and 52
  List after swap: [-38, -25, -83, 3, 66, 52, 83, -53, 18, 88]
  Compare 83 and -53
  Swap 83 and -53
  List after swap: [-38, -25, -83, 3, 66, 52, -53, 83, 18, 88]
  Compare 83 and 18
  Swap 83 and 18
  List after swap: [-38, -25, -83, 3, 66, 52, -53, 18, 83, 88]

Pass 3:
  Compare -38 and -25
  No swap needed
  Compare -25 and -83
  Swap -25 and -83
  List after swap: [-38, -83, -25, 3, 66, 52, -53, 18, 83, 88]
  Compare -25 and 3
  No swap needed
  Compare 3 and 66
  No swap needed
  Compare 66 and 52
  Swap 66 and 52
  List after swap: [-38, -83, -25, 3, 52, 66, -53, 18, 83, 88]
  Compare 66 and -53
  Swap 66 and -53
  List after swap: [-38, -83, -25, 3, 52, -53, 66, 18, 83, 88]
  Compare 66 and 18
  Swap 66 and 18
  List after swap: [-38, -83, -25, 3, 52, -53, 18, 66, 83, 88]

Pass 4:
  Compare -38 and -83
  Swap -38 and -83
  List after swap: [-83, -38, -25, 3, 52, -53, 18, 66, 83, 88]
  Compare -38 and -25
  No swap needed
  Compare -25 and 3
  No swap needed
  Compare 3 and 52
  No swap needed
  Compare 52 and -53
  Swap 52 and -53
  List after swap: [-83, -38, -25, 3, -53, 52, 18, 66, 83, 88]
  Compare 52 and 18
  Swap 52 and 18
  List after swap: [-83, -38, -25, 3, -53, 18, 52, 66, 83, 88]

Pass 5:
  Compare -83 and -38
  No swap needed
  Compare -38 and -25
  No swap needed
  Compare -25 and 3
  No swap needed
  Compare 3 and -53
  Swap 3 and -53
  List after swap: [-83, -38, -25, -53, 3, 18, 52, 66, 83, 88]
  Compare 3 and 18
  No swap needed

Pass 6:
  Compare -83 and -38
  No swap needed
  Compare -38 and -25
  No swap needed
  Compare -25 and -53
  Swap -25 and -53
  List after swap: [-83, -38, -53, -25, 3, 18, 52, 66, 83, 88]
  Compare -25 and 3
  No swap needed

Pass 7:
  Compare -83 and -38
  No swap needed
  Compare -38 and -53
  Swap -38 and -53
  List after swap: [-83, -53, -38, -25, 3, 18, 52, 66, 83, 88]
  Compare -38 and -25
  No swap needed

Pass 8:
  Compare -83 and -53
  No swap needed
  Compare -53 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -53, -38, -25, 3, 18, 52, 66, 83, 88]
</think>

<response>-83, -53, -38, -25, 3, 18, 52, 66, 83, 88</response>


input: Sort these integers -75, 78, 30, 39, -23, 55 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-75, 78, 30, 39, -23, 55]

Pass 1:
  Compare -75 and 78
  No swap needed
  Compare 78 and 30
  Swap 78 and 30
  List after swap: [-75, 30, 78, 39, -23, 55]
  Compare 78 and 39
  Swap 78 and 39
  List after swap: [-75, 30, 39, 78, -23, 55]
  Compare 78 and -23
  Swap 78 and -23
  List after swap: [-75, 30, 39, -23, 78, 55]
  Compare 78 and 55
  Swap 78 and 55
  List after swap: [-75, 30, 39, -23, 55, 78]

Pass 2:
  Compare -75 and 30
  No swap needed
  Compare 30 and 39
  No swap needed
  Compare 39 and -23
  Swap 39 and -23
  List after swap: [-75, 30, -23, 39, 55, 78]
  Compare 39 and 55
  No swap needed

Pass 3:
  Compare -75 and 30
  No swap needed
  Compare 30 and -23
  Swap 30 and -23
  List after swap: [-75, -23, 30, 39, 55, 78]
  Compare 30 and 39
  No swap needed

Pass 4:
  Compare -75 and -23
  No swap needed
  Compare -23 and 30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -23, 30, 39, 55, 78]
</think>

<response>-75, -23, 30, 39, 55, 78</response>


input: Carry out the bubble sort algorithm on 90, -71, -23, -3, -95 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [90, -71, -23, -3, -95]

Pass 1:
  Compare 90 and -71
  Swap 90 and -71
  List after swap: [-71, 90, -23, -3, -95]
  Compare 90 and -23
  Swap 90 and -23
  List after swap: [-71, -23, 90, -3, -95]
  Compare 90 and -3
  Swap 90 and -3
  List after swap: [-71, -23, -3, 90, -95]
  Compare 90 and -95
  Swap 90 and -95
  List after swap: [-71, -23, -3, -95, 90]

Pass 2:
  Compare -71 and -23
  No swap needed
  Compare -23 and -3
  No swap needed
  Compare -3 and -95
  Swap -3 and -95
  List after swap: [-71, -23, -95, -3, 90]

Pass 3:
  Compare -71 and -23
  No swap needed
  Compare -23 and -95
  Swap -23 and -95
  List after swap: [-71, -95, -23, -3, 90]

Pass 4:
  Compare -71 and -95
  Swap -71 and -95
  List after swap: [-95, -71, -23, -3, 90]

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

Final sorted list: [-95, -71, -23, -3, 90]
</think>

<response>-95, -71, -23, -3, 90</response>


input: Using the bubble sort method, sort -11, 98, 66, -70, -56, -39, -73, 94, 62, 96 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-11, 98, 66, -70, -56, -39, -73, 94, 62, 96]

Pass 1:
  Compare -11 and 98
  No swap needed
  Compare 98 and 66
  Swap 98 and 66
  List after swap: [-11, 66, 98, -70, -56, -39, -73, 94, 62, 96]
  Compare 98 and -70
  Swap 98 and -70
  List after swap: [-11, 66, -70, 98, -56, -39, -73, 94, 62, 96]
  Compare 98 and -56
  Swap 98 and -56
  List after swap: [-11, 66, -70, -56, 98, -39, -73, 94, 62, 96]
  Compare 98 and -39
  Swap 98 and -39
  List after swap: [-11, 66, -70, -56, -39, 98, -73, 94, 62, 96]
  Compare 98 and -73
  Swap 98 and -73
  List after swap: [-11, 66, -70, -56, -39, -73, 98, 94, 62, 96]
  Compare 98 and 94
  Swap 98 and 94
  List after swap: [-11, 66, -70, -56, -39, -73, 94, 98, 62, 96]
  Compare 98 and 62
  Swap 98 and 62
  List after swap: [-11, 66, -70, -56, -39, -73, 94, 62, 98, 96]
  Compare 98 and 96
  Swap 98 and 96
  List after swap: [-11, 66, -70, -56, -39, -73, 94, 62, 96, 98]

Pass 2:
  Compare -11 and 66
  No swap needed
  Compare 66 and -70
  Swap 66 and -70
  List after swap: [-11, -70, 66, -56, -39, -73, 94, 62, 96, 98]
  Compare 66 and -56
  Swap 66 and -56
  List after swap: [-11, -70, -56, 66, -39, -73, 94, 62, 96, 98]
  Compare 66 and -39
  Swap 66 and -39
  List after swap: [-11, -70, -56, -39, 66, -73, 94, 62, 96, 98]
  Compare 66 and -73
  Swap 66 and -73
  List after swap: [-11, -70, -56, -39, -73, 66, 94, 62, 96, 98]
  Compare 66 and 94
  No swap needed
  Compare 94 and 62
  Swap 94 and 62
  List after swap: [-11, -70, -56, -39, -73, 66, 62, 94, 96, 98]
  Compare 94 and 96
  No swap needed

Pass 3:
  Compare -11 and -70
  Swap -11 and -70
  List after swap: [-70, -11, -56, -39, -73, 66, 62, 94, 96, 98]
  Compare -11 and -56
  Swap -11 and -56
  List after swap: [-70, -56, -11, -39, -73, 66, 62, 94, 96, 98]
  Compare -11 and -39
  Swap -11 and -39
  List after swap: [-70, -56, -39, -11, -73, 66, 62, 94, 96, 98]
  Compare -11 and -73
  Swap -11 and -73
  List after swap: [-70, -56, -39, -73, -11, 66, 62, 94, 96, 98]
  Compare -11 and 66
  No swap needed
  Compare 66 and 62
  Swap 66 and 62
  List after swap: [-70, -56, -39, -73, -11, 62, 66, 94, 96, 98]
  Compare 66 and 94
  No swap needed

Pass 4:
  Compare -70 and -56
  No swap needed
  Compare -56 and -39
  No swap needed
  Compare -39 and -73
  Swap -39 and -73
  List after swap: [-70, -56, -73, -39, -11, 62, 66, 94, 96, 98]
  Compare -39 and -11
  No swap needed
  Compare -11 and 62
  No swap needed
  Compare 62 and 66
  No swap needed

Pass 5:
  Compare -70 and -56
  No swap needed
  Compare -56 and -73
  Swap -56 and -73
  List after swap: [-70, -73, -56, -39, -11, 62, 66, 94, 96, 98]
  Compare -56 and -39
  No swap needed
  Compare -39 and -11
  No swap needed
  Compare -11 and 62
  No swap needed

Pass 6:
  Compare -70 and -73
  Swap -70 and -73
  List after swap: [-73, -70, -56, -39, -11, 62, 66, 94, 96, 98]
  Compare -70 and -56
  No swap needed
  Compare -56 and -39
  No swap needed
  Compare -39 and -11
  No swap needed

Pass 7:
  Compare -73 and -70
  No swap needed
  Compare -70 and -56
  No swap needed
  Compare -56 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -70, -56, -39, -11, 62, 66, 94, 96, 98]
</think>

<response>-73, -70, -56, -39, -11, 62, 66, 94, 96, 98</response>


input: Execute bubble sort to sort 97, 31, -7, -45, 66 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [97, 31, -7, -45, 66]

Pass 1:
  Compare 97 and 31
  Swap 97 and 31
  List after swap: [31, 97, -7, -45, 66]
  Compare 97 and -7
  Swap 97 and -7
  List after swap: [31, -7, 97, -45, 66]
  Compare 97 and -45
  Swap 97 and -45
  List after swap: [31, -7, -45, 97, 66]
  Compare 97 and 66
  Swap 97 and 66
  List after swap: [31, -7, -45, 66, 97]

Pass 2:
  Compare 31 and -7
  Swap 31 and -7
  List after swap: [-7, 31, -45, 66, 97]
  Compare 31 and -45
  Swap 31 and -45
  List after swap: [-7, -45, 31, 66, 97]
  Compare 31 and 66
  No swap needed

Pass 3:
  Compare -7 and -45
  Swap -7 and -45
  List after swap: [-45, -7, 31, 66, 97]
  Compare -7 and 31
  No swap needed

Pass 4:
  Compare -45 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-45, -7, 31, 66, 97]
</think>

<response>-45, -7, 31, 66, 97</response>


input: Carry out the bubble sort algorithm on 69, -32, -73, 82, 58, 7, 73, -29, -2, -59 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [69, -32, -73, 82, 58, 7, 73, -29, -2, -59]

Pass 1:
  Compare 69 and -32
  Swap 69 and -32
  List after swap: [-32, 69, -73, 82, 58, 7, 73, -29, -2, -59]
  Compare 69 and -73
  Swap 69 and -73
  List after swap: [-32, -73, 69, 82, 58, 7, 73, -29, -2, -59]
  Compare 69 and 82
  No swap needed
  Compare 82 and 58
  Swap 82 and 58
  List after swap: [-32, -73, 69, 58, 82, 7, 73, -29, -2, -59]
  Compare 82 and 7
  Swap 82 and 7
  List after swap: [-32, -73, 69, 58, 7, 82, 73, -29, -2, -59]
  Compare 82 and 73
  Swap 82 and 73
  List after swap: [-32, -73, 69, 58, 7, 73, 82, -29, -2, -59]
  Compare 82 and -29
  Swap 82 and -29
  List after swap: [-32, -73, 69, 58, 7, 73, -29, 82, -2, -59]
  Compare 82 and -2
  Swap 82 and -2
  List after swap: [-32, -73, 69, 58, 7, 73, -29, -2, 82, -59]
  Compare 82 and -59
  Swap 82 and -59
  List after swap: [-32, -73, 69, 58, 7, 73, -29, -2, -59, 82]

Pass 2:
  Compare -32 and -73
  Swap -32 and -73
  List after swap: [-73, -32, 69, 58, 7, 73, -29, -2, -59, 82]
  Compare -32 and 69
  No swap needed
  Compare 69 and 58
  Swap 69 and 58
  List after swap: [-73, -32, 58, 69, 7, 73, -29, -2, -59, 82]
  Compare 69 and 7
  Swap 69 and 7
  List after swap: [-73, -32, 58, 7, 69, 73, -29, -2, -59, 82]
  Compare 69 and 73
  No swap needed
  Compare 73 and -29
  Swap 73 and -29
  List after swap: [-73, -32, 58, 7, 69, -29, 73, -2, -59, 82]
  Compare 73 and -2
  Swap 73 and -2
  List after swap: [-73, -32, 58, 7, 69, -29, -2, 73, -59, 82]
  Compare 73 and -59
  Swap 73 and -59
  List after swap: [-73, -32, 58, 7, 69, -29, -2, -59, 73, 82]

Pass 3:
  Compare -73 and -32
  No swap needed
  Compare -32 and 58
  No swap needed
  Compare 58 and 7
  Swap 58 and 7
  List after swap: [-73, -32, 7, 58, 69, -29, -2, -59, 73, 82]
  Compare 58 and 69
  No swap needed
  Compare 69 and -29
  Swap 69 and -29
  List after swap: [-73, -32, 7, 58, -29, 69, -2, -59, 73, 82]
  Compare 69 and -2
  Swap 69 and -2
  List after swap: [-73, -32, 7, 58, -29, -2, 69, -59, 73, 82]
  Compare 69 and -59
  Swap 69 and -59
  List after swap: [-73, -32, 7, 58, -29, -2, -59, 69, 73, 82]

Pass 4:
  Compare -73 and -32
  No swap needed
  Compare -32 and 7
  No swap needed
  Compare 7 and 58
  No swap needed
  Compare 58 and -29
  Swap 58 and -29
  List after swap: [-73, -32, 7, -29, 58, -2, -59, 69, 73, 82]
  Compare 58 and -2
  Swap 58 and -2
  List after swap: [-73, -32, 7, -29, -2, 58, -59, 69, 73, 82]
  Compare 58 and -59
  Swap 58 and -59
  List after swap: [-73, -32, 7, -29, -2, -59, 58, 69, 73, 82]

Pass 5:
  Compare -73 and -32
  No swap needed
  Compare -32 and 7
  No swap needed
  Compare 7 and -29
  Swap 7 and -29
  List after swap: [-73, -32, -29, 7, -2, -59, 58, 69, 73, 82]
  Compare 7 and -2
  Swap 7 and -2
  List after swap: [-73, -32, -29, -2, 7, -59, 58, 69, 73, 82]
  Compare 7 and -59
  Swap 7 and -59
  List after swap: [-73, -32, -29, -2, -59, 7, 58, 69, 73, 82]

Pass 6:
  Compare -73 and -32
  No swap needed
  Compare -32 and -29
  No swap needed
  Compare -29 and -2
  No swap needed
  Compare -2 and -59
  Swap -2 and -59
  List after swap: [-73, -32, -29, -59, -2, 7, 58, 69, 73, 82]

Pass 7:
  Compare -73 and -32
  No swap needed
  Compare -32 and -29
  No swap needed
  Compare -29 and -59
  Swap -29 and -59
  List after swap: [-73, -32, -59, -29, -2, 7, 58, 69, 73, 82]

Pass 8:
  Compare -73 and -32
  No swap needed
  Compare -32 and -59
  Swap -32 and -59
  List after swap: [-73, -59, -32, -29, -2, 7, 58, 69, 73, 82]

Pass 9:
  Compare -73 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -59, -32, -29, -2, 7, 58, 69, 73, 82]
</think>

<response>-73, -59, -32, -29, -2, 7, 58, 69, 73, 82</response>


input: Arrange the numbers -20, -19, -73 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-20, -19, -73]

Pass 1:
  Compare -20 and -19
  No swap needed
  Compare -19 and -73
  Swap -19 and -73
  List after swap: [-20, -73, -19]

Pass 2:
  Compare -20 and -73
  Swap -20 and -73
  List after swap: [-73, -20, -19]

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

Final sorted list: [-73, -20, -19]
</think>

<response>-73, -20, -19</response>


input: Execute bubble sort to sort -95, -61, -84, 72, 84 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-95, -61, -84, 72, 84]

Pass 1:
  Compare -95 and -61
  No swap needed
  Compare -61 and -84
  Swap -61 and -84
  List after swap: [-95, -84, -61, 72, 84]
  Compare -61 and 72
  No swap needed
  Compare 72 and 84
  No swap needed

Pass 2:
  Compare -95 and -84
  No swap needed
  Compare -84 and -61
  No swap needed
  Compare -61 and 72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -84, -61, 72, 84]
</think>

<response>-95, -84, -61, 72, 84</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -5, -64.

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

Pass 1:
  Compare -5 and -64
  Swap -5 and -64
  List after swap: [-64, -5]

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

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

<response>-64, -5</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 39, 83, -68, 9, -88.

output:
<think>
Initial list: [39, 83, -68, 9, -88]

Pass 1:
  Compare 39 and 83
  No swap needed
  Compare 83 and -68
  Swap 83 and -68
  List after swap: [39, -68, 83, 9, -88]
  Compare 83 and 9
  Swap 83 and 9
  List after swap: [39, -68, 9, 83, -88]
  Compare 83 and -88
  Swap 83 and -88
  List after swap: [39, -68, 9, -88, 83]

Pass 2:
  Compare 39 and -68
  Swap 39 and -68
  List after swap: [-68, 39, 9, -88, 83]
  Compare 39 and 9
  Swap 39 and 9
  List after swap: [-68, 9, 39, -88, 83]
  Compare 39 and -88
  Swap 39 and -88
  List after swap: [-68, 9, -88, 39, 83]

Pass 3:
  Compare -68 and 9
  No swap needed
  Compare 9 and -88
  Swap 9 and -88
  List after swap: [-68, -88, 9, 39, 83]

Pass 4:
  Compare -68 and -88
  Swap -68 and -88
  List after swap: [-88, -68, 9, 39, 83]

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

Final sorted list: [-88, -68, 9, 39, 83]
</think>

<response>-88, -68, 9, 39, 83</response>


input: Sort the list -13, -28, 46, -57, 9, -1, 82 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-13, -28, 46, -57, 9, -1, 82]

Pass 1:
  Compare -13 and -28
  Swap -13 and -28
  List after swap: [-28, -13, 46, -57, 9, -1, 82]
  Compare -13 and 46
  No swap needed
  Compare 46 and -57
  Swap 46 and -57
  List after swap: [-28, -13, -57, 46, 9, -1, 82]
  Compare 46 and 9
  Swap 46 and 9
  List after swap: [-28, -13, -57, 9, 46, -1, 82]
  Compare 46 and -1
  Swap 46 and -1
  List after swap: [-28, -13, -57, 9, -1, 46, 82]
  Compare 46 and 82
  No swap needed

Pass 2:
  Compare -28 and -13
  No swap needed
  Compare -13 and -57
  Swap -13 and -57
  List after swap: [-28, -57, -13, 9, -1, 46, 82]
  Compare -13 and 9
  No swap needed
  Compare 9 and -1
  Swap 9 and -1
  List after swap: [-28, -57, -13, -1, 9, 46, 82]
  Compare 9 and 46
  No swap needed

Pass 3:
  Compare -28 and -57
  Swap -28 and -57
  List after swap: [-57, -28, -13, -1, 9, 46, 82]
  Compare -28 and -13
  No swap needed
  Compare -13 and -1
  No swap needed
  Compare -1 and 9
  No swap needed

Pass 4:
  Compare -57 and -28
  No swap needed
  Compare -28 and -13
  No swap needed
  Compare -13 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -28, -13, -1, 9, 46, 82]
</think>

<response>-57, -28, -13, -1, 9, 46, 82</response>


input: Arrange the numbers 99, -89, -86, 16, -92, -33, -60, -40, -38 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [99, -89, -86, 16, -92, -33, -60, -40, -38]

Pass 1:
  Compare 99 and -89
  Swap 99 and -89
  List after swap: [-89, 99, -86, 16, -92, -33, -60, -40, -38]
  Compare 99 and -86
  Swap 99 and -86
  List after swap: [-89, -86, 99, 16, -92, -33, -60, -40, -38]
  Compare 99 and 16
  Swap 99 and 16
  List after swap: [-89, -86, 16, 99, -92, -33, -60, -40, -38]
  Compare 99 and -92
  Swap 99 and -92
  List after swap: [-89, -86, 16, -92, 99, -33, -60, -40, -38]
  Compare 99 and -33
  Swap 99 and -33
  List after swap: [-89, -86, 16, -92, -33, 99, -60, -40, -38]
  Compare 99 and -60
  Swap 99 and -60
  List after swap: [-89, -86, 16, -92, -33, -60, 99, -40, -38]
  Compare 99 and -40
  Swap 99 and -40
  List after swap: [-89, -86, 16, -92, -33, -60, -40, 99, -38]
  Compare 99 and -38
  Swap 99 and -38
  List after swap: [-89, -86, 16, -92, -33, -60, -40, -38, 99]

Pass 2:
  Compare -89 and -86
  No swap needed
  Compare -86 and 16
  No swap needed
  Compare 16 and -92
  Swap 16 and -92
  List after swap: [-89, -86, -92, 16, -33, -60, -40, -38, 99]
  Compare 16 and -33
  Swap 16 and -33
  List after swap: [-89, -86, -92, -33, 16, -60, -40, -38, 99]
  Compare 16 and -60
  Swap 16 and -60
  List after swap: [-89, -86, -92, -33, -60, 16, -40, -38, 99]
  Compare 16 and -40
  Swap 16 and -40
  List after swap: [-89, -86, -92, -33, -60, -40, 16, -38, 99]
  Compare 16 and -38
  Swap 16 and -38
  List after swap: [-89, -86, -92, -33, -60, -40, -38, 16, 99]

Pass 3:
  Compare -89 and -86
  No swap needed
  Compare -86 and -92
  Swap -86 and -92
  List after swap: [-89, -92, -86, -33, -60, -40, -38, 16, 99]
  Compare -86 and -33
  No swap needed
  Compare -33 and -60
  Swap -33 and -60
  List after swap: [-89, -92, -86, -60, -33, -40, -38, 16, 99]
  Compare -33 and -40
  Swap -33 and -40
  List after swap: [-89, -92, -86, -60, -40, -33, -38, 16, 99]
  Compare -33 and -38
  Swap -33 and -38
  List after swap: [-89, -92, -86, -60, -40, -38, -33, 16, 99]

Pass 4:
  Compare -89 and -92
  Swap -89 and -92
  List after swap: [-92, -89, -86, -60, -40, -38, -33, 16, 99]
  Compare -89 and -86
  No swap needed
  Compare -86 and -60
  No swap needed
  Compare -60 and -40
  No swap needed
  Compare -40 and -38
  No swap needed

Pass 5:
  Compare -92 and -89
  No swap needed
  Compare -89 and -86
  No swap needed
  Compare -86 and -60
  No swap needed
  Compare -60 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -89, -86, -60, -40, -38, -33, 16, 99]
</think>

<response>-92, -89, -86, -60, -40, -38, -33, 16, 99</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 14, -29, -1, 72, -73, -17, -8, -71, 83, 38.

output:
<think>
Initial list: [14, -29, -1, 72, -73, -17, -8, -71, 83, 38]

Pass 1:
  Compare 14 and -29
  Swap 14 and -29
  List after swap: [-29, 14, -1, 72, -73, -17, -8, -71, 83, 38]
  Compare 14 and -1
  Swap 14 and -1
  List after swap: [-29, -1, 14, 72, -73, -17, -8, -71, 83, 38]
  Compare 14 and 72
  No swap needed
  Compare 72 and -73
  Swap 72 and -73
  List after swap: [-29, -1, 14, -73, 72, -17, -8, -71, 83, 38]
  Compare 72 and -17
  Swap 72 and -17
  List after swap: [-29, -1, 14, -73, -17, 72, -8, -71, 83, 38]
  Compare 72 and -8
  Swap 72 and -8
  List after swap: [-29, -1, 14, -73, -17, -8, 72, -71, 83, 38]
  Compare 72 and -71
  Swap 72 and -71
  List after swap: [-29, -1, 14, -73, -17, -8, -71, 72, 83, 38]
  Compare 72 and 83
  No swap needed
  Compare 83 and 38
  Swap 83 and 38
  List after swap: [-29, -1, 14, -73, -17, -8, -71, 72, 38, 83]

Pass 2:
  Compare -29 and -1
  No swap needed
  Compare -1 and 14
  No swap needed
  Compare 14 and -73
  Swap 14 and -73
  List after swap: [-29, -1, -73, 14, -17, -8, -71, 72, 38, 83]
  Compare 14 and -17
  Swap 14 and -17
  List after swap: [-29, -1, -73, -17, 14, -8, -71, 72, 38, 83]
  Compare 14 and -8
  Swap 14 and -8
  List after swap: [-29, -1, -73, -17, -8, 14, -71, 72, 38, 83]
  Compare 14 and -71
  Swap 14 and -71
  List after swap: [-29, -1, -73, -17, -8, -71, 14, 72, 38, 83]
  Compare 14 and 72
  No swap needed
  Compare 72 and 38
  Swap 72 and 38
  List after swap: [-29, -1, -73, -17, -8, -71, 14, 38, 72, 83]

Pass 3:
  Compare -29 and -1
  No swap needed
  Compare -1 and -73
  Swap -1 and -73
  List after swap: [-29, -73, -1, -17, -8, -71, 14, 38, 72, 83]
  Compare -1 and -17
  Swap -1 and -17
  List after swap: [-29, -73, -17, -1, -8, -71, 14, 38, 72, 83]
  Compare -1 and -8
  Swap -1 and -8
  List after swap: [-29, -73, -17, -8, -1, -71, 14, 38, 72, 83]
  Compare -1 and -71
  Swap -1 and -71
  List after swap: [-29, -73, -17, -8, -71, -1, 14, 38, 72, 83]
  Compare -1 and 14
  No swap needed
  Compare 14 and 38
  No swap needed

Pass 4:
  Compare -29 and -73
  Swap -29 and -73
  List after swap: [-73, -29, -17, -8, -71, -1, 14, 38, 72, 83]
  Compare -29 and -17
  No swap needed
  Compare -17 and -8
  No swap needed
  Compare -8 and -71
  Swap -8 and -71
  List after swap: [-73, -29, -17, -71, -8, -1, 14, 38, 72, 83]
  Compare -8 and -1
  No swap needed
  Compare -1 and 14
  No swap needed

Pass 5:
  Compare -73 and -29
  No swap needed
  Compare -29 and -17
  No swap needed
  Compare -17 and -71
  Swap -17 and -71
  List after swap: [-73, -29, -71, -17, -8, -1, 14, 38, 72, 83]
  Compare -17 and -8
  No swap needed
  Compare -8 and -1
  No swap needed

Pass 6:
  Compare -73 and -29
  No swap needed
  Compare -29 and -71
  Swap -29 and -71
  List after swap: [-73, -71, -29, -17, -8, -1, 14, 38, 72, 83]
  Compare -29 and -17
  No swap needed
  Compare -17 and -8
  No swap needed

Pass 7:
  Compare -73 and -71
  No swap needed
  Compare -71 and -29
  No swap needed
  Compare -29 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -71, -29, -17, -8, -1, 14, 38, 72, 83]
</think>

<response>-73, -71, -29, -17, -8, -1, 14, 38, 72, 83</response>


input: Use the bubble sort technique to reorder 54, -46, 9, 1, -70, -60, 19, 24, -41, 10 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [54, -46, 9, 1, -70, -60, 19, 24, -41, 10]

Pass 1:
  Compare 54 and -46
  Swap 54 and -46
  List after swap: [-46, 54, 9, 1, -70, -60, 19, 24, -41, 10]
  Compare 54 and 9
  Swap 54 and 9
  List after swap: [-46, 9, 54, 1, -70, -60, 19, 24, -41, 10]
  Compare 54 and 1
  Swap 54 and 1
  List after swap: [-46, 9, 1, 54, -70, -60, 19, 24, -41, 10]
  Compare 54 and -70
  Swap 54 and -70
  List after swap: [-46, 9, 1, -70, 54, -60, 19, 24, -41, 10]
  Compare 54 and -60
  Swap 54 and -60
  List after swap: [-46, 9, 1, -70, -60, 54, 19, 24, -41, 10]
  Compare 54 and 19
  Swap 54 and 19
  List after swap: [-46, 9, 1, -70, -60, 19, 54, 24, -41, 10]
  Compare 54 and 24
  Swap 54 and 24
  List after swap: [-46, 9, 1, -70, -60, 19, 24, 54, -41, 10]
  Compare 54 and -41
  Swap 54 and -41
  List after swap: [-46, 9, 1, -70, -60, 19, 24, -41, 54, 10]
  Compare 54 and 10
  Swap 54 and 10
  List after swap: [-46, 9, 1, -70, -60, 19, 24, -41, 10, 54]

Pass 2:
  Compare -46 and 9
  No swap needed
  Compare 9 and 1
  Swap 9 and 1
  List after swap: [-46, 1, 9, -70, -60, 19, 24, -41, 10, 54]
  Compare 9 and -70
  Swap 9 and -70
  List after swap: [-46, 1, -70, 9, -60, 19, 24, -41, 10, 54]
  Compare 9 and -60
  Swap 9 and -60
  List after swap: [-46, 1, -70, -60, 9, 19, 24, -41, 10, 54]
  Compare 9 and 19
  No swap needed
  Compare 19 and 24
  No swap needed
  Compare 24 and -41
  Swap 24 and -41
  List after swap: [-46, 1, -70, -60, 9, 19, -41, 24, 10, 54]
  Compare 24 and 10
  Swap 24 and 10
  List after swap: [-46, 1, -70, -60, 9, 19, -41, 10, 24, 54]

Pass 3:
  Compare -46 and 1
  No swap needed
  Compare 1 and -70
  Swap 1 and -70
  List after swap: [-46, -70, 1, -60, 9, 19, -41, 10, 24, 54]
  Compare 1 and -60
  Swap 1 and -60
  List after swap: [-46, -70, -60, 1, 9, 19, -41, 10, 24, 54]
  Compare 1 and 9
  No swap needed
  Compare 9 and 19
  No swap needed
  Compare 19 and -41
  Swap 19 and -41
  List after swap: [-46, -70, -60, 1, 9, -41, 19, 10, 24, 54]
  Compare 19 and 10
  Swap 19 and 10
  List after swap: [-46, -70, -60, 1, 9, -41, 10, 19, 24, 54]

Pass 4:
  Compare -46 and -70
  Swap -46 and -70
  List after swap: [-70, -46, -60, 1, 9, -41, 10, 19, 24, 54]
  Compare -46 and -60
  Swap -46 and -60
  List after swap: [-70, -60, -46, 1, 9, -41, 10, 19, 24, 54]
  Compare -46 and 1
  No swap needed
  Compare 1 and 9
  No swap needed
  Compare 9 and -41
  Swap 9 and -41
  List after swap: [-70, -60, -46, 1, -41, 9, 10, 19, 24, 54]
  Compare 9 and 10
  No swap needed

Pass 5:
  Compare -70 and -60
  No swap needed
  Compare -60 and -46
  No swap needed
  Compare -46 and 1
  No swap needed
  Compare 1 and -41
  Swap 1 and -41
  List after swap: [-70, -60, -46, -41, 1, 9, 10, 19, 24, 54]
  Compare 1 and 9
  No swap needed

Pass 6:
  Compare -70 and -60
  No swap needed
  Compare -60 and -46
  No swap needed
  Compare -46 and -41
  No swap needed
  Compare -41 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -60, -46, -41, 1, 9, 10, 19, 24, 54]
</think>

<response>-70, -60, -46, -41, 1, 9, 10, 19, 24, 54</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 5, -58, 39, 23.

output:
<think>
Initial list: [5, -58, 39, 23]

Pass 1:
  Compare 5 and -58
  Swap 5 and -58
  List after swap: [-58, 5, 39, 23]
  Compare 5 and 39
  No swap needed
  Compare 39 and 23
  Swap 39 and 23
  List after swap: [-58, 5, 23, 39]

Pass 2:
  Compare -58 and 5
  No swap needed
  Compare 5 and 23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, 5, 23, 39]
</think>

<response>-58, 5, 23, 39</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 98, 5, -69, 63, 19, 35, -66, -68, -70, -71.

output:
<think>
Initial list: [98, 5, -69, 63, 19, 35, -66, -68, -70, -71]

Pass 1:
  Compare 98 and 5
  Swap 98 and 5
  List after swap: [5, 98, -69, 63, 19, 35, -66, -68, -70, -71]
  Compare 98 and -69
  Swap 98 and -69
  List after swap: [5, -69, 98, 63, 19, 35, -66, -68, -70, -71]
  Compare 98 and 63
  Swap 98 and 63
  List after swap: [5, -69, 63, 98, 19, 35, -66, -68, -70, -71]
  Compare 98 and 19
  Swap 98 and 19
  List after swap: [5, -69, 63, 19, 98, 35, -66, -68, -70, -71]
  Compare 98 and 35
  Swap 98 and 35
  List after swap: [5, -69, 63, 19, 35, 98, -66, -68, -70, -71]
  Compare 98 and -66
  Swap 98 and -66
  List after swap: [5, -69, 63, 19, 35, -66, 98, -68, -70, -71]
  Compare 98 and -68
  Swap 98 and -68
  List after swap: [5, -69, 63, 19, 35, -66, -68, 98, -70, -71]
  Compare 98 and -70
  Swap 98 and -70
  List after swap: [5, -69, 63, 19, 35, -66, -68, -70, 98, -71]
  Compare 98 and -71
  Swap 98 and -71
  List after swap: [5, -69, 63, 19, 35, -66, -68, -70, -71, 98]

Pass 2:
  Compare 5 and -69
  Swap 5 and -69
  List after swap: [-69, 5, 63, 19, 35, -66, -68, -70, -71, 98]
  Compare 5 and 63
  No swap needed
  Compare 63 and 19
  Swap 63 and 19
  List after swap: [-69, 5, 19, 63, 35, -66, -68, -70, -71, 98]
  Compare 63 and 35
  Swap 63 and 35
  List after swap: [-69, 5, 19, 35, 63, -66, -68, -70, -71, 98]
  Compare 63 and -66
  Swap 63 and -66
  List after swap: [-69, 5, 19, 35, -66, 63, -68, -70, -71, 98]
  Compare 63 and -68
  Swap 63 and -68
  List after swap: [-69, 5, 19, 35, -66, -68, 63, -70, -71, 98]
  Compare 63 and -70
  Swap 63 and -70
  List after swap: [-69, 5, 19, 35, -66, -68, -70, 63, -71, 98]
  Compare 63 and -71
  Swap 63 and -71
  List after swap: [-69, 5, 19, 35, -66, -68, -70, -71, 63, 98]

Pass 3:
  Compare -69 and 5
  No swap needed
  Compare 5 and 19
  No swap needed
  Compare 19 and 35
  No swap needed
  Compare 35 and -66
  Swap 35 and -66
  List after swap: [-69, 5, 19, -66, 35, -68, -70, -71, 63, 98]
  Compare 35 and -68
  Swap 35 and -68
  List after swap: [-69, 5, 19, -66, -68, 35, -70, -71, 63, 98]
  Compare 35 and -70
  Swap 35 and -70
  List after swap: [-69, 5, 19, -66, -68, -70, 35, -71, 63, 98]
  Compare 35 and -71
  Swap 35 and -71
  List after swap: [-69, 5, 19, -66, -68, -70, -71, 35, 63, 98]

Pass 4:
  Compare -69 and 5
  No swap needed
  Compare 5 and 19
  No swap needed
  Compare 19 and -66
  Swap 19 and -66
  List after swap: [-69, 5, -66, 19, -68, -70, -71, 35, 63, 98]
  Compare 19 and -68
  Swap 19 and -68
  List after swap: [-69, 5, -66, -68, 19, -70, -71, 35, 63, 98]
  Compare 19 and -70
  Swap 19 and -70
  List after swap: [-69, 5, -66, -68, -70, 19, -71, 35, 63, 98]
  Compare 19 and -71
  Swap 19 and -71
  List after swap: [-69, 5, -66, -68, -70, -71, 19, 35, 63, 98]

Pass 5:
  Compare -69 and 5
  No swap needed
  Compare 5 and -66
  Swap 5 and -66
  List after swap: [-69, -66, 5, -68, -70, -71, 19, 35, 63, 98]
  Compare 5 and -68
  Swap 5 and -68
  List after swap: [-69, -66, -68, 5, -70, -71, 19, 35, 63, 98]
  Compare 5 and -70
  Swap 5 and -70
  List after swap: [-69, -66, -68, -70, 5, -71, 19, 35, 63, 98]
  Compare 5 and -71
  Swap 5 and -71
  List after swap: [-69, -66, -68, -70, -71, 5, 19, 35, 63, 98]

Pass 6:
  Compare -69 and -66
  No swap needed
  Compare -66 and -68
  Swap -66 and -68
  List after swap: [-69, -68, -66, -70, -71, 5, 19, 35, 63, 98]
  Compare -66 and -70
  Swap -66 and -70
  List after swap: [-69, -68, -70, -66, -71, 5, 19, 35, 63, 98]
  Compare -66 and -71
  Swap -66 and -71
  List after swap: [-69, -68, -70, -71, -66, 5, 19, 35, 63, 98]

Pass 7:
  Compare -69 and -68
  No swap needed
  Compare -68 and -70
  Swap -68 and -70
  List after swap: [-69, -70, -68, -71, -66, 5, 19, 35, 63, 98]
  Compare -68 and -71
  Swap -68 and -71
  List after swap: [-69, -70, -71, -68, -66, 5, 19, 35, 63, 98]

Pass 8:
  Compare -69 and -70
  Swap -69 and -70
  List after swap: [-70, -69, -71, -68, -66, 5, 19, 35, 63, 98]
  Compare -69 and -71
  Swap -69 and -71
  List after swap: [-70, -71, -69, -68, -66, 5, 19, 35, 63, 98]

Pass 9:
  Compare -70 and -71
  Swap -70 and -71
  List after swap: [-71, -70, -69, -68, -66, 5, 19, 35, 63, 98]

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

Final sorted list: [-71, -70, -69, -68, -66, 5, 19, 35, 63, 98]
</think>

<response>-71, -70, -69, -68, -66, 5, 19, 35, 63, 98</response>


input: Sort these integers -58, 11, 57, 75, 10, -76, 7, 91, -4 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-58, 11, 57, 75, 10, -76, 7, 91, -4]

Pass 1:
  Compare -58 and 11
  No swap needed
  Compare 11 and 57
  No swap needed
  Compare 57 and 75
  No swap needed
  Compare 75 and 10
  Swap 75 and 10
  List after swap: [-58, 11, 57, 10, 75, -76, 7, 91, -4]
  Compare 75 and -76
  Swap 75 and -76
  List after swap: [-58, 11, 57, 10, -76, 75, 7, 91, -4]
  Compare 75 and 7
  Swap 75 and 7
  List after swap: [-58, 11, 57, 10, -76, 7, 75, 91, -4]
  Compare 75 and 91
  No swap needed
  Compare 91 and -4
  Swap 91 and -4
  List after swap: [-58, 11, 57, 10, -76, 7, 75, -4, 91]

Pass 2:
  Compare -58 and 11
  No swap needed
  Compare 11 and 57
  No swap needed
  Compare 57 and 10
  Swap 57 and 10
  List after swap: [-58, 11, 10, 57, -76, 7, 75, -4, 91]
  Compare 57 and -76
  Swap 57 and -76
  List after swap: [-58, 11, 10, -76, 57, 7, 75, -4, 91]
  Compare 57 and 7
  Swap 57 and 7
  List after swap: [-58, 11, 10, -76, 7, 57, 75, -4, 91]
  Compare 57 and 75
  No swap needed
  Compare 75 and -4
  Swap 75 and -4
  List after swap: [-58, 11, 10, -76, 7, 57, -4, 75, 91]

Pass 3:
  Compare -58 and 11
  No swap needed
  Compare 11 and 10
  Swap 11 and 10
  List after swap: [-58, 10, 11, -76, 7, 57, -4, 75, 91]
  Compare 11 and -76
  Swap 11 and -76
  List after swap: [-58, 10, -76, 11, 7, 57, -4, 75, 91]
  Compare 11 and 7
  Swap 11 and 7
  List after swap: [-58, 10, -76, 7, 11, 57, -4, 75, 91]
  Compare 11 and 57
  No swap needed
  Compare 57 and -4
  Swap 57 and -4
  List after swap: [-58, 10, -76, 7, 11, -4, 57, 75, 91]

Pass 4:
  Compare -58 and 10
  No swap needed
  Compare 10 and -76
  Swap 10 and -76
  List after swap: [-58, -76, 10, 7, 11, -4, 57, 75, 91]
  Compare 10 and 7
  Swap 10 and 7
  List after swap: [-58, -76, 7, 10, 11, -4, 57, 75, 91]
  Compare 10 and 11
  No swap needed
  Compare 11 and -4
  Swap 11 and -4
  List after swap: [-58, -76, 7, 10, -4, 11, 57, 75, 91]

Pass 5:
  Compare -58 and -76
  Swap -58 and -76
  List after swap: [-76, -58, 7, 10, -4, 11, 57, 75, 91]
  Compare -58 and 7
  No swap needed
  Compare 7 and 10
  No swap needed
  Compare 10 and -4
  Swap 10 and -4
  List after swap: [-76, -58, 7, -4, 10, 11, 57, 75, 91]

Pass 6:
  Compare -76 and -58
  No swap needed
  Compare -58 and 7
  No swap needed
  Compare 7 and -4
  Swap 7 and -4
  List after swap: [-76, -58, -4, 7, 10, 11, 57, 75, 91]

Pass 7:
  Compare -76 and -58
  No swap needed
  Compare -58 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -58, -4, 7, 10, 11, 57, 75, 91]
</think>

<response>-76, -58, -4, 7, 10, 11, 57, 75, 91</response>


input: Using the bubble sort method, sort 76, -74, -48, 62, 53, -88 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [76, -74, -48, 62, 53, -88]

Pass 1:
  Compare 76 and -74
  Swap 76 and -74
  List after swap: [-74, 76, -48, 62, 53, -88]
  Compare 76 and -48
  Swap 76 and -48
  List after swap: [-74, -48, 76, 62, 53, -88]
  Compare 76 and 62
  Swap 76 and 62
  List after swap: [-74, -48, 62, 76, 53, -88]
  Compare 76 and 53
  Swap 76 and 53
  List after swap: [-74, -48, 62, 53, 76, -88]
  Compare 76 and -88
  Swap 76 and -88
  List after swap: [-74, -48, 62, 53, -88, 76]

Pass 2:
  Compare -74 and -48
  No swap needed
  Compare -48 and 62
  No swap needed
  Compare 62 and 53
  Swap 62 and 53
  List after swap: [-74, -48, 53, 62, -88, 76]
  Compare 62 and -88
  Swap 62 and -88
  List after swap: [-74, -48, 53, -88, 62, 76]

Pass 3:
  Compare -74 and -48
  No swap needed
  Compare -48 and 53
  No swap needed
  Compare 53 and -88
  Swap 53 and -88
  List after swap: [-74, -48, -88, 53, 62, 76]

Pass 4:
  Compare -74 and -48
  No swap needed
  Compare -48 and -88
  Swap -48 and -88
  List after swap: [-74, -88, -48, 53, 62, 76]

Pass 5:
  Compare -74 and -88
  Swap -74 and -88
  List after swap: [-88, -74, -48, 53, 62, 76]

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

Final sorted list: [-88, -74, -48, 53, 62, 76]
</think>

<response>-88, -74, -48, 53, 62, 76</response>


input: Sort the list -91, 75, 17, -100, 43, 44, 4, -17, -15 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-91, 75, 17, -100, 43, 44, 4, -17, -15]

Pass 1:
  Compare -91 and 75
  No swap needed
  Compare 75 and 17
  Swap 75 and 17
  List after swap: [-91, 17, 75, -100, 43, 44, 4, -17, -15]
  Compare 75 and -100
  Swap 75 and -100
  List after swap: [-91, 17, -100, 75, 43, 44, 4, -17, -15]
  Compare 75 and 43
  Swap 75 and 43
  List after swap: [-91, 17, -100, 43, 75, 44, 4, -17, -15]
  Compare 75 and 44
  Swap 75 and 44
  List after swap: [-91, 17, -100, 43, 44, 75, 4, -17, -15]
  Compare 75 and 4
  Swap 75 and 4
  List after swap: [-91, 17, -100, 43, 44, 4, 75, -17, -15]
  Compare 75 and -17
  Swap 75 and -17
  List after swap: [-91, 17, -100, 43, 44, 4, -17, 75, -15]
  Compare 75 and -15
  Swap 75 and -15
  List after swap: [-91, 17, -100, 43, 44, 4, -17, -15, 75]

Pass 2:
  Compare -91 and 17
  No swap needed
  Compare 17 and -100
  Swap 17 and -100
  List after swap: [-91, -100, 17, 43, 44, 4, -17, -15, 75]
  Compare 17 and 43
  No swap needed
  Compare 43 and 44
  No swap needed
  Compare 44 and 4
  Swap 44 and 4
  List after swap: [-91, -100, 17, 43, 4, 44, -17, -15, 75]
  Compare 44 and -17
  Swap 44 and -17
  List after swap: [-91, -100, 17, 43, 4, -17, 44, -15, 75]
  Compare 44 and -15
  Swap 44 and -15
  List after swap: [-91, -100, 17, 43, 4, -17, -15, 44, 75]

Pass 3:
  Compare -91 and -100
  Swap -91 and -100
  List after swap: [-100, -91, 17, 43, 4, -17, -15, 44, 75]
  Compare -91 and 17
  No swap needed
  Compare 17 and 43
  No swap needed
  Compare 43 and 4
  Swap 43 and 4
  List after swap: [-100, -91, 17, 4, 43, -17, -15, 44, 75]
  Compare 43 and -17
  Swap 43 and -17
  List after swap: [-100, -91, 17, 4, -17, 43, -15, 44, 75]
  Compare 43 and -15
  Swap 43 and -15
  List after swap: [-100, -91, 17, 4, -17, -15, 43, 44, 75]

Pass 4:
  Compare -100 and -91
  No swap needed
  Compare -91 and 17
  No swap needed
  Compare 17 and 4
  Swap 17 and 4
  List after swap: [-100, -91, 4, 17, -17, -15, 43, 44, 75]
  Compare 17 and -17
  Swap 17 and -17
  List after swap: [-100, -91, 4, -17, 17, -15, 43, 44, 75]
  Compare 17 and -15
  Swap 17 and -15
  List after swap: [-100, -91, 4, -17, -15, 17, 43, 44, 75]

Pass 5:
  Compare -100 and -91
  No swap needed
  Compare -91 and 4
  No swap needed
  Compare 4 and -17
  Swap 4 and -17
  List after swap: [-100, -91, -17, 4, -15, 17, 43, 44, 75]
  Compare 4 and -15
  Swap 4 and -15
  List after swap: [-100, -91, -17, -15, 4, 17, 43, 44, 75]

Pass 6:
  Compare -100 and -91
  No swap needed
  Compare -91 and -17
  No swap needed
  Compare -17 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -91, -17, -15, 4, 17, 43, 44, 75]
</think>

<response>-100, -91, -17, -15, 4, 17, 43, 44, 75</response>


input: Use the bubble sort technique to reorder 20, 50, -52, 99, -64, -58, 30, 2, -81 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [20, 50, -52, 99, -64, -58, 30, 2, -81]

Pass 1:
  Compare 20 and 50
  No swap needed
  Compare 50 and -52
  Swap 50 and -52
  List after swap: [20, -52, 50, 99, -64, -58, 30, 2, -81]
  Compare 50 and 99
  No swap needed
  Compare 99 and -64
  Swap 99 and -64
  List after swap: [20, -52, 50, -64, 99, -58, 30, 2, -81]
  Compare 99 and -58
  Swap 99 and -58
  List after swap: [20, -52, 50, -64, -58, 99, 30, 2, -81]
  Compare 99 and 30
  Swap 99 and 30
  List after swap: [20, -52, 50, -64, -58, 30, 99, 2, -81]
  Compare 99 and 2
  Swap 99 and 2
  List after swap: [20, -52, 50, -64, -58, 30, 2, 99, -81]
  Compare 99 and -81
  Swap 99 and -81
  List after swap: [20, -52, 50, -64, -58, 30, 2, -81, 99]

Pass 2:
  Compare 20 and -52
  Swap 20 and -52
  List after swap: [-52, 20, 50, -64, -58, 30, 2, -81, 99]
  Compare 20 and 50
  No swap needed
  Compare 50 and -64
  Swap 50 and -64
  List after swap: [-52, 20, -64, 50, -58, 30, 2, -81, 99]
  Compare 50 and -58
  Swap 50 and -58
  List after swap: [-52, 20, -64, -58, 50, 30, 2, -81, 99]
  Compare 50 and 30
  Swap 50 and 30
  List after swap: [-52, 20, -64, -58, 30, 50, 2, -81, 99]
  Compare 50 and 2
  Swap 50 and 2
  List after swap: [-52, 20, -64, -58, 30, 2, 50, -81, 99]
  Compare 50 and -81
  Swap 50 and -81
  List after swap: [-52, 20, -64, -58, 30, 2, -81, 50, 99]

Pass 3:
  Compare -52 and 20
  No swap needed
  Compare 20 and -64
  Swap 20 and -64
  List after swap: [-52, -64, 20, -58, 30, 2, -81, 50, 99]
  Compare 20 and -58
  Swap 20 and -58
  List after swap: [-52, -64, -58, 20, 30, 2, -81, 50, 99]
  Compare 20 and 30
  No swap needed
  Compare 30 and 2
  Swap 30 and 2
  List after swap: [-52, -64, -58, 20, 2, 30, -81, 50, 99]
  Compare 30 and -81
  Swap 30 and -81
  List after swap: [-52, -64, -58, 20, 2, -81, 30, 50, 99]

Pass 4:
  Compare -52 and -64
  Swap -52 and -64
  List after swap: [-64, -52, -58, 20, 2, -81, 30, 50, 99]
  Compare -52 and -58
  Swap -52 and -58
  List after swap: [-64, -58, -52, 20, 2, -81, 30, 50, 99]
  Compare -52 and 20
  No swap needed
  Compare 20 and 2
  Swap 20 and 2
  List after swap: [-64, -58, -52, 2, 20, -81, 30, 50, 99]
  Compare 20 and -81
  Swap 20 and -81
  List after swap: [-64, -58, -52, 2, -81, 20, 30, 50, 99]

Pass 5:
  Compare -64 and -58
  No swap needed
  Compare -58 and -52
  No swap needed
  Compare -52 and 2
  No swap needed
  Compare 2 and -81
  Swap 2 and -81
  List after swap: [-64, -58, -52, -81, 2, 20, 30, 50, 99]

Pass 6:
  Compare -64 and -58
  No swap needed
  Compare -58 and -52
  No swap needed
  Compare -52 and -81
  Swap -52 and -81
  List after swap: [-64, -58, -81, -52, 2, 20, 30, 50, 99]

Pass 7:
  Compare -64 and -58
  No swap needed
  Compare -58 and -81
  Swap -58 and -81
  List after swap: [-64, -81, -58, -52, 2, 20, 30, 50, 99]

Pass 8:
  Compare -64 and -81
  Swap -64 and -81
  List after swap: [-81, -64, -58, -52, 2, 20, 30, 50, 99]

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

Final sorted list: [-81, -64, -58, -52, 2, 20, 30, 50, 99]
</think>

<response>-81, -64, -58, -52, 2, 20, 30, 50, 99</response>


input: Sort the list -24, 39, -9, -2, -31 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-24, 39, -9, -2, -31]

Pass 1:
  Compare -24 and 39
  No swap needed
  Compare 39 and -9
  Swap 39 and -9
  List after swap: [-24, -9, 39, -2, -31]
  Compare 39 and -2
  Swap 39 and -2
  List after swap: [-24, -9, -2, 39, -31]
  Compare 39 and -31
  Swap 39 and -31
  List after swap: [-24, -9, -2, -31, 39]

Pass 2:
  Compare -24 and -9
  No swap needed
  Compare -9 and -2
  No swap needed
  Compare -2 and -31
  Swap -2 and -31
  List after swap: [-24, -9, -31, -2, 39]

Pass 3:
  Compare -24 and -9
  No swap needed
  Compare -9 and -31
  Swap -9 and -31
  List after swap: [-24, -31, -9, -2, 39]

Pass 4:
  Compare -24 and -31
  Swap -24 and -31
  List after swap: [-31, -24, -9, -2, 39]

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

Final sorted list: [-31, -24, -9, -2, 39]
</think>

<response>-31, -24, -9, -2, 39</response>


input: Use the bubble sort technique to reorder -21, -77, -30, -13, 65, 10, -98, -15 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-21, -77, -30, -13, 65, 10, -98, -15]

Pass 1:
  Compare -21 and -77
  Swap -21 and -77
  List after swap: [-77, -21, -30, -13, 65, 10, -98, -15]
  Compare -21 and -30
  Swap -21 and -30
  List after swap: [-77, -30, -21, -13, 65, 10, -98, -15]
  Compare -21 and -13
  No swap needed
  Compare -13 and 65
  No swap needed
  Compare 65 and 10
  Swap 65 and 10
  List after swap: [-77, -30, -21, -13, 10, 65, -98, -15]
  Compare 65 and -98
  Swap 65 and -98
  List after swap: [-77, -30, -21, -13, 10, -98, 65, -15]
  Compare 65 and -15
  Swap 65 and -15
  List after swap: [-77, -30, -21, -13, 10, -98, -15, 65]

Pass 2:
  Compare -77 and -30
  No swap needed
  Compare -30 and -21
  No swap needed
  Compare -21 and -13
  No swap needed
  Compare -13 and 10
  No swap needed
  Compare 10 and -98
  Swap 10 and -98
  List after swap: [-77, -30, -21, -13, -98, 10, -15, 65]
  Compare 10 and -15
  Swap 10 and -15
  List after swap: [-77, -30, -21, -13, -98, -15, 10, 65]

Pass 3:
  Compare -77 and -30
  No swap needed
  Compare -30 and -21
  No swap needed
  Compare -21 and -13
  No swap needed
  Compare -13 and -98
  Swap -13 and -98
  List after swap: [-77, -30, -21, -98, -13, -15, 10, 65]
  Compare -13 and -15
  Swap -13 and -15
  List after swap: [-77, -30, -21, -98, -15, -13, 10, 65]

Pass 4:
  Compare -77 and -30
  No swap needed
  Compare -30 and -21
  No swap needed
  Compare -21 and -98
  Swap -21 and -98
  List after swap: [-77, -30, -98, -21, -15, -13, 10, 65]
  Compare -21 and -15
  No swap needed

Pass 5:
  Compare -77 and -30
  No swap needed
  Compare -30 and -98
  Swap -30 and -98
  List after swap: [-77, -98, -30, -21, -15, -13, 10, 65]
  Compare -30 and -21
  No swap needed

Pass 6:
  Compare -77 and -98
  Swap -77 and -98
  List after swap: [-98, -77, -30, -21, -15, -13, 10, 65]
  Compare -77 and -30
  No swap needed

Pass 7:
  Compare -98 and -77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -77, -30, -21, -15, -13, 10, 65]
</think>

<response>-98, -77, -30, -21, -15, -13, 10, 65</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -66, -13, 32, 72, -93, -7, 70, 75.

output:
<think>
Initial list: [-66, -13, 32, 72, -93, -7, 70, 75]

Pass 1:
  Compare -66 and -13
  No swap needed
  Compare -13 and 32
  No swap needed
  Compare 32 and 72
  No swap needed
  Compare 72 and -93
  Swap 72 and -93
  List after swap: [-66, -13, 32, -93, 72, -7, 70, 75]
  Compare 72 and -7
  Swap 72 and -7
  List after swap: [-66, -13, 32, -93, -7, 72, 70, 75]
  Compare 72 and 70
  Swap 72 and 70
  List after swap: [-66, -13, 32, -93, -7, 70, 72, 75]
  Compare 72 and 75
  No swap needed

Pass 2:
  Compare -66 and -13
  No swap needed
  Compare -13 and 32
  No swap needed
  Compare 32 and -93
  Swap 32 and -93
  List after swap: [-66, -13, -93, 32, -7, 70, 72, 75]
  Compare 32 and -7
  Swap 32 and -7
  List after swap: [-66, -13, -93, -7, 32, 70, 72, 75]
  Compare 32 and 70
  No swap needed
  Compare 70 and 72
  No swap needed

Pass 3:
  Compare -66 and -13
  No swap needed
  Compare -13 and -93
  Swap -13 and -93
  List after swap: [-66, -93, -13, -7, 32, 70, 72, 75]
  Compare -13 and -7
  No swap needed
  Compare -7 and 32
  No swap needed
  Compare 32 and 70
  No swap needed

Pass 4:
  Compare -66 and -93
  Swap -66 and -93
  List after swap: [-93, -66, -13, -7, 32, 70, 72, 75]
  Compare -66 and -13
  No swap needed
  Compare -13 and -7
  No swap needed
  Compare -7 and 32
  No swap needed

Pass 5:
  Compare -93 and -66
  No swap needed
  Compare -66 and -13
  No swap needed
  Compare -13 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -66, -13, -7, 32, 70, 72, 75]
</think>

<response>-93, -66, -13, -7, 32, 70, 72, 75</response>


input: Sort these integers 54, 34 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [54, 34]

Pass 1:
  Compare 54 and 34
  Swap 54 and 34
  List after swap: [34, 54]

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

Final sorted list: [34, 54]
</think>

<response>34, 54</response>


input: Using the bubble sort method, sort -27, 86, -30, 19, 63, 2, -98, 68, 54 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-27, 86, -30, 19, 63, 2, -98, 68, 54]

Pass 1:
  Compare -27 and 86
  No swap needed
  Compare 86 and -30
  Swap 86 and -30
  List after swap: [-27, -30, 86, 19, 63, 2, -98, 68, 54]
  Compare 86 and 19
  Swap 86 and 19
  List after swap: [-27, -30, 19, 86, 63, 2, -98, 68, 54]
  Compare 86 and 63
  Swap 86 and 63
  List after swap: [-27, -30, 19, 63, 86, 2, -98, 68, 54]
  Compare 86 and 2
  Swap 86 and 2
  List after swap: [-27, -30, 19, 63, 2, 86, -98, 68, 54]
  Compare 86 and -98
  Swap 86 and -98
  List after swap: [-27, -30, 19, 63, 2, -98, 86, 68, 54]
  Compare 86 and 68
  Swap 86 and 68
  List after swap: [-27, -30, 19, 63, 2, -98, 68, 86, 54]
  Compare 86 and 54
  Swap 86 and 54
  List after swap: [-27, -30, 19, 63, 2, -98, 68, 54, 86]

Pass 2:
  Compare -27 and -30
  Swap -27 and -30
  List after swap: [-30, -27, 19, 63, 2, -98, 68, 54, 86]
  Compare -27 and 19
  No swap needed
  Compare 19 and 63
  No swap needed
  Compare 63 and 2
  Swap 63 and 2
  List after swap: [-30, -27, 19, 2, 63, -98, 68, 54, 86]
  Compare 63 and -98
  Swap 63 and -98
  List after swap: [-30, -27, 19, 2, -98, 63, 68, 54, 86]
  Compare 63 and 68
  No swap needed
  Compare 68 and 54
  Swap 68 and 54
  List after swap: [-30, -27, 19, 2, -98, 63, 54, 68, 86]

Pass 3:
  Compare -30 and -27
  No swap needed
  Compare -27 and 19
  No swap needed
  Compare 19 and 2
  Swap 19 and 2
  List after swap: [-30, -27, 2, 19, -98, 63, 54, 68, 86]
  Compare 19 and -98
  Swap 19 and -98
  List after swap: [-30, -27, 2, -98, 19, 63, 54, 68, 86]
  Compare 19 and 63
  No swap needed
  Compare 63 and 54
  Swap 63 and 54
  List after swap: [-30, -27, 2, -98, 19, 54, 63, 68, 86]

Pass 4:
  Compare -30 and -27
  No swap needed
  Compare -27 and 2
  No swap needed
  Compare 2 and -98
  Swap 2 and -98
  List after swap: [-30, -27, -98, 2, 19, 54, 63, 68, 86]
  Compare 2 and 19
  No swap needed
  Compare 19 and 54
  No swap needed

Pass 5:
  Compare -30 and -27
  No swap needed
  Compare -27 and -98
  Swap -27 and -98
  List after swap: [-30, -98, -27, 2, 19, 54, 63, 68, 86]
  Compare -27 and 2
  No swap needed
  Compare 2 and 19
  No swap needed

Pass 6:
  Compare -30 and -98
  Swap -30 and -98
  List after swap: [-98, -30, -27, 2, 19, 54, 63, 68, 86]
  Compare -30 and -27
  No swap needed
  Compare -27 and 2
  No swap needed

Pass 7:
  Compare -98 and -30
  No swap needed
  Compare -30 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -30, -27, 2, 19, 54, 63, 68, 86]
</think>

<response>-98, -30, -27, 2, 19, 54, 63, 68, 86</response>


input: Execute bubble sort to sort 67, 11, 45, -1, -65, -31, 87, 3 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [67, 11, 45, -1, -65, -31, 87, 3]

Pass 1:
  Compare 67 and 11
  Swap 67 and 11
  List after swap: [11, 67, 45, -1, -65, -31, 87, 3]
  Compare 67 and 45
  Swap 67 and 45
  List after swap: [11, 45, 67, -1, -65, -31, 87, 3]
  Compare 67 and -1
  Swap 67 and -1
  List after swap: [11, 45, -1, 67, -65, -31, 87, 3]
  Compare 67 and -65
  Swap 67 and -65
  List after swap: [11, 45, -1, -65, 67, -31, 87, 3]
  Compare 67 and -31
  Swap 67 and -31
  List after swap: [11, 45, -1, -65, -31, 67, 87, 3]
  Compare 67 and 87
  No swap needed
  Compare 87 and 3
  Swap 87 and 3
  List after swap: [11, 45, -1, -65, -31, 67, 3, 87]

Pass 2:
  Compare 11 and 45
  No swap needed
  Compare 45 and -1
  Swap 45 and -1
  List after swap: [11, -1, 45, -65, -31, 67, 3, 87]
  Compare 45 and -65
  Swap 45 and -65
  List after swap: [11, -1, -65, 45, -31, 67, 3, 87]
  Compare 45 and -31
  Swap 45 and -31
  List after swap: [11, -1, -65, -31, 45, 67, 3, 87]
  Compare 45 and 67
  No swap needed
  Compare 67 and 3
  Swap 67 and 3
  List after swap: [11, -1, -65, -31, 45, 3, 67, 87]

Pass 3:
  Compare 11 and -1
  Swap 11 and -1
  List after swap: [-1, 11, -65, -31, 45, 3, 67, 87]
  Compare 11 and -65
  Swap 11 and -65
  List after swap: [-1, -65, 11, -31, 45, 3, 67, 87]
  Compare 11 and -31
  Swap 11 and -31
  List after swap: [-1, -65, -31, 11, 45, 3, 67, 87]
  Compare 11 and 45
  No swap needed
  Compare 45 and 3
  Swap 45 and 3
  List after swap: [-1, -65, -31, 11, 3, 45, 67, 87]

Pass 4:
  Compare -1 and -65
  Swap -1 and -65
  List after swap: [-65, -1, -31, 11, 3, 45, 67, 87]
  Compare -1 and -31
  Swap -1 and -31
  List after swap: [-65, -31, -1, 11, 3, 45, 67, 87]
  Compare -1 and 11
  No swap needed
  Compare 11 and 3
  Swap 11 and 3
  List after swap: [-65, -31, -1, 3, 11, 45, 67, 87]

Pass 5:
  Compare -65 and -31
  No swap needed
  Compare -31 and -1
  No swap needed
  Compare -1 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -31, -1, 3, 11, 45, 67, 87]
</think>

<response>-65, -31, -1, 3, 11, 45, 67, 87</response>


input: Sort the list 84, -63, -10, 74, -91, -31, -49, 86, 44 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [84, -63, -10, 74, -91, -31, -49, 86, 44]

Pass 1:
  Compare 84 and -63
  Swap 84 and -63
  List after swap: [-63, 84, -10, 74, -91, -31, -49, 86, 44]
  Compare 84 and -10
  Swap 84 and -10
  List after swap: [-63, -10, 84, 74, -91, -31, -49, 86, 44]
  Compare 84 and 74
  Swap 84 and 74
  List after swap: [-63, -10, 74, 84, -91, -31, -49, 86, 44]
  Compare 84 and -91
  Swap 84 and -91
  List after swap: [-63, -10, 74, -91, 84, -31, -49, 86, 44]
  Compare 84 and -31
  Swap 84 and -31
  List after swap: [-63, -10, 74, -91, -31, 84, -49, 86, 44]
  Compare 84 and -49
  Swap 84 and -49
  List after swap: [-63, -10, 74, -91, -31, -49, 84, 86, 44]
  Compare 84 and 86
  No swap needed
  Compare 86 and 44
  Swap 86 and 44
  List after swap: [-63, -10, 74, -91, -31, -49, 84, 44, 86]

Pass 2:
  Compare -63 and -10
  No swap needed
  Compare -10 and 74
  No swap needed
  Compare 74 and -91
  Swap 74 and -91
  List after swap: [-63, -10, -91, 74, -31, -49, 84, 44, 86]
  Compare 74 and -31
  Swap 74 and -31
  List after swap: [-63, -10, -91, -31, 74, -49, 84, 44, 86]
  Compare 74 and -49
  Swap 74 and -49
  List after swap: [-63, -10, -91, -31, -49, 74, 84, 44, 86]
  Compare 74 and 84
  No swap needed
  Compare 84 and 44
  Swap 84 and 44
  List after swap: [-63, -10, -91, -31, -49, 74, 44, 84, 86]

Pass 3:
  Compare -63 and -10
  No swap needed
  Compare -10 and -91
  Swap -10 and -91
  List after swap: [-63, -91, -10, -31, -49, 74, 44, 84, 86]
  Compare -10 and -31
  Swap -10 and -31
  List after swap: [-63, -91, -31, -10, -49, 74, 44, 84, 86]
  Compare -10 and -49
  Swap -10 and -49
  List after swap: [-63, -91, -31, -49, -10, 74, 44, 84, 86]
  Compare -10 and 74
  No swap needed
  Compare 74 and 44
  Swap 74 and 44
  List after swap: [-63, -91, -31, -49, -10, 44, 74, 84, 86]

Pass 4:
  Compare -63 and -91
  Swap -63 and -91
  List after swap: [-91, -63, -31, -49, -10, 44, 74, 84, 86]
  Compare -63 and -31
  No swap needed
  Compare -31 and -49
  Swap -31 and -49
  List after swap: [-91, -63, -49, -31, -10, 44, 74, 84, 86]
  Compare -31 and -10
  No swap needed
  Compare -10 and 44
  No swap needed

Pass 5:
  Compare -91 and -63
  No swap needed
  Compare -63 and -49
  No swap needed
  Compare -49 and -31
  No swap needed
  Compare -31 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -63, -49, -31, -10, 44, 74, 84, 86]
</think>

<response>-91, -63, -49, -31, -10, 44, 74, 84, 86</response>