input: Demonstrate how bubble sort orders the integers -32, 64, -5, 94, 50, 6, -28 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-32, 64, -5, 94, 50, 6, -28]

Pass 1:
  Compare -32 and 64
  No swap needed
  Compare 64 and -5
  Swap 64 and -5
  List after swap: [-32, -5, 64, 94, 50, 6, -28]
  Compare 64 and 94
  No swap needed
  Compare 94 and 50
  Swap 94 and 50
  List after swap: [-32, -5, 64, 50, 94, 6, -28]
  Compare 94 and 6
  Swap 94 and 6
  List after swap: [-32, -5, 64, 50, 6, 94, -28]
  Compare 94 and -28
  Swap 94 and -28
  List after swap: [-32, -5, 64, 50, 6, -28, 94]

Pass 2:
  Compare -32 and -5
  No swap needed
  Compare -5 and 64
  No swap needed
  Compare 64 and 50
  Swap 64 and 50
  List after swap: [-32, -5, 50, 64, 6, -28, 94]
  Compare 64 and 6
  Swap 64 and 6
  List after swap: [-32, -5, 50, 6, 64, -28, 94]
  Compare 64 and -28
  Swap 64 and -28
  List after swap: [-32, -5, 50, 6, -28, 64, 94]

Pass 3:
  Compare -32 and -5
  No swap needed
  Compare -5 and 50
  No swap needed
  Compare 50 and 6
  Swap 50 and 6
  List after swap: [-32, -5, 6, 50, -28, 64, 94]
  Compare 50 and -28
  Swap 50 and -28
  List after swap: [-32, -5, 6, -28, 50, 64, 94]

Pass 4:
  Compare -32 and -5
  No swap needed
  Compare -5 and 6
  No swap needed
  Compare 6 and -28
  Swap 6 and -28
  List after swap: [-32, -5, -28, 6, 50, 64, 94]

Pass 5:
  Compare -32 and -5
  No swap needed
  Compare -5 and -28
  Swap -5 and -28
  List after swap: [-32, -28, -5, 6, 50, 64, 94]

Pass 6:
  Compare -32 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-32, -28, -5, 6, 50, 64, 94]
</think>

<response>-32, -28, -5, 6, 50, 64, 94</response>


input: Carry out the bubble sort algorithm on -4, -76, 99, 4, -78, 75, -23, 77, -52 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-4, -76, 99, 4, -78, 75, -23, 77, -52]

Pass 1:
  Compare -4 and -76
  Swap -4 and -76
  List after swap: [-76, -4, 99, 4, -78, 75, -23, 77, -52]
  Compare -4 and 99
  No swap needed
  Compare 99 and 4
  Swap 99 and 4
  List after swap: [-76, -4, 4, 99, -78, 75, -23, 77, -52]
  Compare 99 and -78
  Swap 99 and -78
  List after swap: [-76, -4, 4, -78, 99, 75, -23, 77, -52]
  Compare 99 and 75
  Swap 99 and 75
  List after swap: [-76, -4, 4, -78, 75, 99, -23, 77, -52]
  Compare 99 and -23
  Swap 99 and -23
  List after swap: [-76, -4, 4, -78, 75, -23, 99, 77, -52]
  Compare 99 and 77
  Swap 99 and 77
  List after swap: [-76, -4, 4, -78, 75, -23, 77, 99, -52]
  Compare 99 and -52
  Swap 99 and -52
  List after swap: [-76, -4, 4, -78, 75, -23, 77, -52, 99]

Pass 2:
  Compare -76 and -4
  No swap needed
  Compare -4 and 4
  No swap needed
  Compare 4 and -78
  Swap 4 and -78
  List after swap: [-76, -4, -78, 4, 75, -23, 77, -52, 99]
  Compare 4 and 75
  No swap needed
  Compare 75 and -23
  Swap 75 and -23
  List after swap: [-76, -4, -78, 4, -23, 75, 77, -52, 99]
  Compare 75 and 77
  No swap needed
  Compare 77 and -52
  Swap 77 and -52
  List after swap: [-76, -4, -78, 4, -23, 75, -52, 77, 99]

Pass 3:
  Compare -76 and -4
  No swap needed
  Compare -4 and -78
  Swap -4 and -78
  List after swap: [-76, -78, -4, 4, -23, 75, -52, 77, 99]
  Compare -4 and 4
  No swap needed
  Compare 4 and -23
  Swap 4 and -23
  List after swap: [-76, -78, -4, -23, 4, 75, -52, 77, 99]
  Compare 4 and 75
  No swap needed
  Compare 75 and -52
  Swap 75 and -52
  List after swap: [-76, -78, -4, -23, 4, -52, 75, 77, 99]

Pass 4:
  Compare -76 and -78
  Swap -76 and -78
  List after swap: [-78, -76, -4, -23, 4, -52, 75, 77, 99]
  Compare -76 and -4
  No swap needed
  Compare -4 and -23
  Swap -4 and -23
  List after swap: [-78, -76, -23, -4, 4, -52, 75, 77, 99]
  Compare -4 and 4
  No swap needed
  Compare 4 and -52
  Swap 4 and -52
  List after swap: [-78, -76, -23, -4, -52, 4, 75, 77, 99]

Pass 5:
  Compare -78 and -76
  No swap needed
  Compare -76 and -23
  No swap needed
  Compare -23 and -4
  No swap needed
  Compare -4 and -52
  Swap -4 and -52
  List after swap: [-78, -76, -23, -52, -4, 4, 75, 77, 99]

Pass 6:
  Compare -78 and -76
  No swap needed
  Compare -76 and -23
  No swap needed
  Compare -23 and -52
  Swap -23 and -52
  List after swap: [-78, -76, -52, -23, -4, 4, 75, 77, 99]

Pass 7:
  Compare -78 and -76
  No swap needed
  Compare -76 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -76, -52, -23, -4, 4, 75, 77, 99]
</think>

<response>-78, -76, -52, -23, -4, 4, 75, 77, 99</response>


input: Use the bubble sort technique to reorder -32, -62, 93, 76, -88, 67, 47 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-32, -62, 93, 76, -88, 67, 47]

Pass 1:
  Compare -32 and -62
  Swap -32 and -62
  List after swap: [-62, -32, 93, 76, -88, 67, 47]
  Compare -32 and 93
  No swap needed
  Compare 93 and 76
  Swap 93 and 76
  List after swap: [-62, -32, 76, 93, -88, 67, 47]
  Compare 93 and -88
  Swap 93 and -88
  List after swap: [-62, -32, 76, -88, 93, 67, 47]
  Compare 93 and 67
  Swap 93 and 67
  List after swap: [-62, -32, 76, -88, 67, 93, 47]
  Compare 93 and 47
  Swap 93 and 47
  List after swap: [-62, -32, 76, -88, 67, 47, 93]

Pass 2:
  Compare -62 and -32
  No swap needed
  Compare -32 and 76
  No swap needed
  Compare 76 and -88
  Swap 76 and -88
  List after swap: [-62, -32, -88, 76, 67, 47, 93]
  Compare 76 and 67
  Swap 76 and 67
  List after swap: [-62, -32, -88, 67, 76, 47, 93]
  Compare 76 and 47
  Swap 76 and 47
  List after swap: [-62, -32, -88, 67, 47, 76, 93]

Pass 3:
  Compare -62 and -32
  No swap needed
  Compare -32 and -88
  Swap -32 and -88
  List after swap: [-62, -88, -32, 67, 47, 76, 93]
  Compare -32 and 67
  No swap needed
  Compare 67 and 47
  Swap 67 and 47
  List after swap: [-62, -88, -32, 47, 67, 76, 93]

Pass 4:
  Compare -62 and -88
  Swap -62 and -88
  List after swap: [-88, -62, -32, 47, 67, 76, 93]
  Compare -62 and -32
  No swap needed
  Compare -32 and 47
  No swap needed

Pass 5:
  Compare -88 and -62
  No swap needed
  Compare -62 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -62, -32, 47, 67, 76, 93]
</think>

<response>-88, -62, -32, 47, 67, 76, 93</response>


input: Execute bubble sort to sort 26, 30, 98, -34, -9, 15, 68 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [26, 30, 98, -34, -9, 15, 68]

Pass 1:
  Compare 26 and 30
  No swap needed
  Compare 30 and 98
  No swap needed
  Compare 98 and -34
  Swap 98 and -34
  List after swap: [26, 30, -34, 98, -9, 15, 68]
  Compare 98 and -9
  Swap 98 and -9
  List after swap: [26, 30, -34, -9, 98, 15, 68]
  Compare 98 and 15
  Swap 98 and 15
  List after swap: [26, 30, -34, -9, 15, 98, 68]
  Compare 98 and 68
  Swap 98 and 68
  List after swap: [26, 30, -34, -9, 15, 68, 98]

Pass 2:
  Compare 26 and 30
  No swap needed
  Compare 30 and -34
  Swap 30 and -34
  List after swap: [26, -34, 30, -9, 15, 68, 98]
  Compare 30 and -9
  Swap 30 and -9
  List after swap: [26, -34, -9, 30, 15, 68, 98]
  Compare 30 and 15
  Swap 30 and 15
  List after swap: [26, -34, -9, 15, 30, 68, 98]
  Compare 30 and 68
  No swap needed

Pass 3:
  Compare 26 and -34
  Swap 26 and -34
  List after swap: [-34, 26, -9, 15, 30, 68, 98]
  Compare 26 and -9
  Swap 26 and -9
  List after swap: [-34, -9, 26, 15, 30, 68, 98]
  Compare 26 and 15
  Swap 26 and 15
  List after swap: [-34, -9, 15, 26, 30, 68, 98]
  Compare 26 and 30
  No swap needed

Pass 4:
  Compare -34 and -9
  No swap needed
  Compare -9 and 15
  No swap needed
  Compare 15 and 26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-34, -9, 15, 26, 30, 68, 98]
</think>

<response>-34, -9, 15, 26, 30, 68, 98</response>


input: Sort these integers -86, -69 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-86, -69]

Pass 1:
  Compare -86 and -69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -69]
</think>

<response>-86, -69</response>


input: Execute bubble sort to sort 45, -62, -80, 47, -9, -64, -23, 19, -71, -93 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [45, -62, -80, 47, -9, -64, -23, 19, -71, -93]

Pass 1:
  Compare 45 and -62
  Swap 45 and -62
  List after swap: [-62, 45, -80, 47, -9, -64, -23, 19, -71, -93]
  Compare 45 and -80
  Swap 45 and -80
  List after swap: [-62, -80, 45, 47, -9, -64, -23, 19, -71, -93]
  Compare 45 and 47
  No swap needed
  Compare 47 and -9
  Swap 47 and -9
  List after swap: [-62, -80, 45, -9, 47, -64, -23, 19, -71, -93]
  Compare 47 and -64
  Swap 47 and -64
  List after swap: [-62, -80, 45, -9, -64, 47, -23, 19, -71, -93]
  Compare 47 and -23
  Swap 47 and -23
  List after swap: [-62, -80, 45, -9, -64, -23, 47, 19, -71, -93]
  Compare 47 and 19
  Swap 47 and 19
  List after swap: [-62, -80, 45, -9, -64, -23, 19, 47, -71, -93]
  Compare 47 and -71
  Swap 47 and -71
  List after swap: [-62, -80, 45, -9, -64, -23, 19, -71, 47, -93]
  Compare 47 and -93
  Swap 47 and -93
  List after swap: [-62, -80, 45, -9, -64, -23, 19, -71, -93, 47]

Pass 2:
  Compare -62 and -80
  Swap -62 and -80
  List after swap: [-80, -62, 45, -9, -64, -23, 19, -71, -93, 47]
  Compare -62 and 45
  No swap needed
  Compare 45 and -9
  Swap 45 and -9
  List after swap: [-80, -62, -9, 45, -64, -23, 19, -71, -93, 47]
  Compare 45 and -64
  Swap 45 and -64
  List after swap: [-80, -62, -9, -64, 45, -23, 19, -71, -93, 47]
  Compare 45 and -23
  Swap 45 and -23
  List after swap: [-80, -62, -9, -64, -23, 45, 19, -71, -93, 47]
  Compare 45 and 19
  Swap 45 and 19
  List after swap: [-80, -62, -9, -64, -23, 19, 45, -71, -93, 47]
  Compare 45 and -71
  Swap 45 and -71
  List after swap: [-80, -62, -9, -64, -23, 19, -71, 45, -93, 47]
  Compare 45 and -93
  Swap 45 and -93
  List after swap: [-80, -62, -9, -64, -23, 19, -71, -93, 45, 47]

Pass 3:
  Compare -80 and -62
  No swap needed
  Compare -62 and -9
  No swap needed
  Compare -9 and -64
  Swap -9 and -64
  List after swap: [-80, -62, -64, -9, -23, 19, -71, -93, 45, 47]
  Compare -9 and -23
  Swap -9 and -23
  List after swap: [-80, -62, -64, -23, -9, 19, -71, -93, 45, 47]
  Compare -9 and 19
  No swap needed
  Compare 19 and -71
  Swap 19 and -71
  List after swap: [-80, -62, -64, -23, -9, -71, 19, -93, 45, 47]
  Compare 19 and -93
  Swap 19 and -93
  List after swap: [-80, -62, -64, -23, -9, -71, -93, 19, 45, 47]

Pass 4:
  Compare -80 and -62
  No swap needed
  Compare -62 and -64
  Swap -62 and -64
  List after swap: [-80, -64, -62, -23, -9, -71, -93, 19, 45, 47]
  Compare -62 and -23
  No swap needed
  Compare -23 and -9
  No swap needed
  Compare -9 and -71
  Swap -9 and -71
  List after swap: [-80, -64, -62, -23, -71, -9, -93, 19, 45, 47]
  Compare -9 and -93
  Swap -9 and -93
  List after swap: [-80, -64, -62, -23, -71, -93, -9, 19, 45, 47]

Pass 5:
  Compare -80 and -64
  No swap needed
  Compare -64 and -62
  No swap needed
  Compare -62 and -23
  No swap needed
  Compare -23 and -71
  Swap -23 and -71
  List after swap: [-80, -64, -62, -71, -23, -93, -9, 19, 45, 47]
  Compare -23 and -93
  Swap -23 and -93
  List after swap: [-80, -64, -62, -71, -93, -23, -9, 19, 45, 47]

Pass 6:
  Compare -80 and -64
  No swap needed
  Compare -64 and -62
  No swap needed
  Compare -62 and -71
  Swap -62 and -71
  List after swap: [-80, -64, -71, -62, -93, -23, -9, 19, 45, 47]
  Compare -62 and -93
  Swap -62 and -93
  List after swap: [-80, -64, -71, -93, -62, -23, -9, 19, 45, 47]

Pass 7:
  Compare -80 and -64
  No swap needed
  Compare -64 and -71
  Swap -64 and -71
  List after swap: [-80, -71, -64, -93, -62, -23, -9, 19, 45, 47]
  Compare -64 and -93
  Swap -64 and -93
  List after swap: [-80, -71, -93, -64, -62, -23, -9, 19, 45, 47]

Pass 8:
  Compare -80 and -71
  No swap needed
  Compare -71 and -93
  Swap -71 and -93
  List after swap: [-80, -93, -71, -64, -62, -23, -9, 19, 45, 47]

Pass 9:
  Compare -80 and -93
  Swap -80 and -93
  List after swap: [-93, -80, -71, -64, -62, -23, -9, 19, 45, 47]

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

Final sorted list: [-93, -80, -71, -64, -62, -23, -9, 19, 45, 47]
</think>

<response>-93, -80, -71, -64, -62, -23, -9, 19, 45, 47</response>


input: Using the bubble sort method, sort 51, 77, 11, -14, 97, -28, -54, 99, -100 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [51, 77, 11, -14, 97, -28, -54, 99, -100]

Pass 1:
  Compare 51 and 77
  No swap needed
  Compare 77 and 11
  Swap 77 and 11
  List after swap: [51, 11, 77, -14, 97, -28, -54, 99, -100]
  Compare 77 and -14
  Swap 77 and -14
  List after swap: [51, 11, -14, 77, 97, -28, -54, 99, -100]
  Compare 77 and 97
  No swap needed
  Compare 97 and -28
  Swap 97 and -28
  List after swap: [51, 11, -14, 77, -28, 97, -54, 99, -100]
  Compare 97 and -54
  Swap 97 and -54
  List after swap: [51, 11, -14, 77, -28, -54, 97, 99, -100]
  Compare 97 and 99
  No swap needed
  Compare 99 and -100
  Swap 99 and -100
  List after swap: [51, 11, -14, 77, -28, -54, 97, -100, 99]

Pass 2:
  Compare 51 and 11
  Swap 51 and 11
  List after swap: [11, 51, -14, 77, -28, -54, 97, -100, 99]
  Compare 51 and -14
  Swap 51 and -14
  List after swap: [11, -14, 51, 77, -28, -54, 97, -100, 99]
  Compare 51 and 77
  No swap needed
  Compare 77 and -28
  Swap 77 and -28
  List after swap: [11, -14, 51, -28, 77, -54, 97, -100, 99]
  Compare 77 and -54
  Swap 77 and -54
  List after swap: [11, -14, 51, -28, -54, 77, 97, -100, 99]
  Compare 77 and 97
  No swap needed
  Compare 97 and -100
  Swap 97 and -100
  List after swap: [11, -14, 51, -28, -54, 77, -100, 97, 99]

Pass 3:
  Compare 11 and -14
  Swap 11 and -14
  List after swap: [-14, 11, 51, -28, -54, 77, -100, 97, 99]
  Compare 11 and 51
  No swap needed
  Compare 51 and -28
  Swap 51 and -28
  List after swap: [-14, 11, -28, 51, -54, 77, -100, 97, 99]
  Compare 51 and -54
  Swap 51 and -54
  List after swap: [-14, 11, -28, -54, 51, 77, -100, 97, 99]
  Compare 51 and 77
  No swap needed
  Compare 77 and -100
  Swap 77 and -100
  List after swap: [-14, 11, -28, -54, 51, -100, 77, 97, 99]

Pass 4:
  Compare -14 and 11
  No swap needed
  Compare 11 and -28
  Swap 11 and -28
  List after swap: [-14, -28, 11, -54, 51, -100, 77, 97, 99]
  Compare 11 and -54
  Swap 11 and -54
  List after swap: [-14, -28, -54, 11, 51, -100, 77, 97, 99]
  Compare 11 and 51
  No swap needed
  Compare 51 and -100
  Swap 51 and -100
  List after swap: [-14, -28, -54, 11, -100, 51, 77, 97, 99]

Pass 5:
  Compare -14 and -28
  Swap -14 and -28
  List after swap: [-28, -14, -54, 11, -100, 51, 77, 97, 99]
  Compare -14 and -54
  Swap -14 and -54
  List after swap: [-28, -54, -14, 11, -100, 51, 77, 97, 99]
  Compare -14 and 11
  No swap needed
  Compare 11 and -100
  Swap 11 and -100
  List after swap: [-28, -54, -14, -100, 11, 51, 77, 97, 99]

Pass 6:
  Compare -28 and -54
  Swap -28 and -54
  List after swap: [-54, -28, -14, -100, 11, 51, 77, 97, 99]
  Compare -28 and -14
  No swap needed
  Compare -14 and -100
  Swap -14 and -100
  List after swap: [-54, -28, -100, -14, 11, 51, 77, 97, 99]

Pass 7:
  Compare -54 and -28
  No swap needed
  Compare -28 and -100
  Swap -28 and -100
  List after swap: [-54, -100, -28, -14, 11, 51, 77, 97, 99]

Pass 8:
  Compare -54 and -100
  Swap -54 and -100
  List after swap: [-100, -54, -28, -14, 11, 51, 77, 97, 99]

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

Final sorted list: [-100, -54, -28, -14, 11, 51, 77, 97, 99]
</think>

<response>-100, -54, -28, -14, 11, 51, 77, 97, 99</response>


input: Arrange the numbers -99, -74, 71, -64, 94, -26, -95, 38, -2 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-99, -74, 71, -64, 94, -26, -95, 38, -2]

Pass 1:
  Compare -99 and -74
  No swap needed
  Compare -74 and 71
  No swap needed
  Compare 71 and -64
  Swap 71 and -64
  List after swap: [-99, -74, -64, 71, 94, -26, -95, 38, -2]
  Compare 71 and 94
  No swap needed
  Compare 94 and -26
  Swap 94 and -26
  List after swap: [-99, -74, -64, 71, -26, 94, -95, 38, -2]
  Compare 94 and -95
  Swap 94 and -95
  List after swap: [-99, -74, -64, 71, -26, -95, 94, 38, -2]
  Compare 94 and 38
  Swap 94 and 38
  List after swap: [-99, -74, -64, 71, -26, -95, 38, 94, -2]
  Compare 94 and -2
  Swap 94 and -2
  List after swap: [-99, -74, -64, 71, -26, -95, 38, -2, 94]

Pass 2:
  Compare -99 and -74
  No swap needed
  Compare -74 and -64
  No swap needed
  Compare -64 and 71
  No swap needed
  Compare 71 and -26
  Swap 71 and -26
  List after swap: [-99, -74, -64, -26, 71, -95, 38, -2, 94]
  Compare 71 and -95
  Swap 71 and -95
  List after swap: [-99, -74, -64, -26, -95, 71, 38, -2, 94]
  Compare 71 and 38
  Swap 71 and 38
  List after swap: [-99, -74, -64, -26, -95, 38, 71, -2, 94]
  Compare 71 and -2
  Swap 71 and -2
  List after swap: [-99, -74, -64, -26, -95, 38, -2, 71, 94]

Pass 3:
  Compare -99 and -74
  No swap needed
  Compare -74 and -64
  No swap needed
  Compare -64 and -26
  No swap needed
  Compare -26 and -95
  Swap -26 and -95
  List after swap: [-99, -74, -64, -95, -26, 38, -2, 71, 94]
  Compare -26 and 38
  No swap needed
  Compare 38 and -2
  Swap 38 and -2
  List after swap: [-99, -74, -64, -95, -26, -2, 38, 71, 94]

Pass 4:
  Compare -99 and -74
  No swap needed
  Compare -74 and -64
  No swap needed
  Compare -64 and -95
  Swap -64 and -95
  List after swap: [-99, -74, -95, -64, -26, -2, 38, 71, 94]
  Compare -64 and -26
  No swap needed
  Compare -26 and -2
  No swap needed

Pass 5:
  Compare -99 and -74
  No swap needed
  Compare -74 and -95
  Swap -74 and -95
  List after swap: [-99, -95, -74, -64, -26, -2, 38, 71, 94]
  Compare -74 and -64
  No swap needed
  Compare -64 and -26
  No swap needed

Pass 6:
  Compare -99 and -95
  No swap needed
  Compare -95 and -74
  No swap needed
  Compare -74 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -95, -74, -64, -26, -2, 38, 71, 94]
</think>

<response>-99, -95, -74, -64, -26, -2, 38, 71, 94</response>


input: Use the bubble sort technique to reorder 41, -30, -57, 55, 20, 8 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [41, -30, -57, 55, 20, 8]

Pass 1:
  Compare 41 and -30
  Swap 41 and -30
  List after swap: [-30, 41, -57, 55, 20, 8]
  Compare 41 and -57
  Swap 41 and -57
  List after swap: [-30, -57, 41, 55, 20, 8]
  Compare 41 and 55
  No swap needed
  Compare 55 and 20
  Swap 55 and 20
  List after swap: [-30, -57, 41, 20, 55, 8]
  Compare 55 and 8
  Swap 55 and 8
  List after swap: [-30, -57, 41, 20, 8, 55]

Pass 2:
  Compare -30 and -57
  Swap -30 and -57
  List after swap: [-57, -30, 41, 20, 8, 55]
  Compare -30 and 41
  No swap needed
  Compare 41 and 20
  Swap 41 and 20
  List after swap: [-57, -30, 20, 41, 8, 55]
  Compare 41 and 8
  Swap 41 and 8
  List after swap: [-57, -30, 20, 8, 41, 55]

Pass 3:
  Compare -57 and -30
  No swap needed
  Compare -30 and 20
  No swap needed
  Compare 20 and 8
  Swap 20 and 8
  List after swap: [-57, -30, 8, 20, 41, 55]

Pass 4:
  Compare -57 and -30
  No swap needed
  Compare -30 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -30, 8, 20, 41, 55]
</think>

<response>-57, -30, 8, 20, 41, 55</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -57, 76, -21, 24.

output:
<think>
Initial list: [-57, 76, -21, 24]

Pass 1:
  Compare -57 and 76
  No swap needed
  Compare 76 and -21
  Swap 76 and -21
  List after swap: [-57, -21, 76, 24]
  Compare 76 and 24
  Swap 76 and 24
  List after swap: [-57, -21, 24, 76]

Pass 2:
  Compare -57 and -21
  No swap needed
  Compare -21 and 24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -21, 24, 76]
</think>

<response>-57, -21, 24, 76</response>


input: Execute bubble sort to sort -23, -78, 0, 26, 23, 77, 62, 99, -32 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-23, -78, 0, 26, 23, 77, 62, 99, -32]

Pass 1:
  Compare -23 and -78
  Swap -23 and -78
  List after swap: [-78, -23, 0, 26, 23, 77, 62, 99, -32]
  Compare -23 and 0
  No swap needed
  Compare 0 and 26
  No swap needed
  Compare 26 and 23
  Swap 26 and 23
  List after swap: [-78, -23, 0, 23, 26, 77, 62, 99, -32]
  Compare 26 and 77
  No swap needed
  Compare 77 and 62
  Swap 77 and 62
  List after swap: [-78, -23, 0, 23, 26, 62, 77, 99, -32]
  Compare 77 and 99
  No swap needed
  Compare 99 and -32
  Swap 99 and -32
  List after swap: [-78, -23, 0, 23, 26, 62, 77, -32, 99]

Pass 2:
  Compare -78 and -23
  No swap needed
  Compare -23 and 0
  No swap needed
  Compare 0 and 23
  No swap needed
  Compare 23 and 26
  No swap needed
  Compare 26 and 62
  No swap needed
  Compare 62 and 77
  No swap needed
  Compare 77 and -32
  Swap 77 and -32
  List after swap: [-78, -23, 0, 23, 26, 62, -32, 77, 99]

Pass 3:
  Compare -78 and -23
  No swap needed
  Compare -23 and 0
  No swap needed
  Compare 0 and 23
  No swap needed
  Compare 23 and 26
  No swap needed
  Compare 26 and 62
  No swap needed
  Compare 62 and -32
  Swap 62 and -32
  List after swap: [-78, -23, 0, 23, 26, -32, 62, 77, 99]

Pass 4:
  Compare -78 and -23
  No swap needed
  Compare -23 and 0
  No swap needed
  Compare 0 and 23
  No swap needed
  Compare 23 and 26
  No swap needed
  Compare 26 and -32
  Swap 26 and -32
  List after swap: [-78, -23, 0, 23, -32, 26, 62, 77, 99]

Pass 5:
  Compare -78 and -23
  No swap needed
  Compare -23 and 0
  No swap needed
  Compare 0 and 23
  No swap needed
  Compare 23 and -32
  Swap 23 and -32
  List after swap: [-78, -23, 0, -32, 23, 26, 62, 77, 99]

Pass 6:
  Compare -78 and -23
  No swap needed
  Compare -23 and 0
  No swap needed
  Compare 0 and -32
  Swap 0 and -32
  List after swap: [-78, -23, -32, 0, 23, 26, 62, 77, 99]

Pass 7:
  Compare -78 and -23
  No swap needed
  Compare -23 and -32
  Swap -23 and -32
  List after swap: [-78, -32, -23, 0, 23, 26, 62, 77, 99]

Pass 8:
  Compare -78 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -32, -23, 0, 23, 26, 62, 77, 99]
</think>

<response>-78, -32, -23, 0, 23, 26, 62, 77, 99</response>


input: Arrange the numbers -25, -14, 39, -42, 41, -43, 31, 16, 21 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-25, -14, 39, -42, 41, -43, 31, 16, 21]

Pass 1:
  Compare -25 and -14
  No swap needed
  Compare -14 and 39
  No swap needed
  Compare 39 and -42
  Swap 39 and -42
  List after swap: [-25, -14, -42, 39, 41, -43, 31, 16, 21]
  Compare 39 and 41
  No swap needed
  Compare 41 and -43
  Swap 41 and -43
  List after swap: [-25, -14, -42, 39, -43, 41, 31, 16, 21]
  Compare 41 and 31
  Swap 41 and 31
  List after swap: [-25, -14, -42, 39, -43, 31, 41, 16, 21]
  Compare 41 and 16
  Swap 41 and 16
  List after swap: [-25, -14, -42, 39, -43, 31, 16, 41, 21]
  Compare 41 and 21
  Swap 41 and 21
  List after swap: [-25, -14, -42, 39, -43, 31, 16, 21, 41]

Pass 2:
  Compare -25 and -14
  No swap needed
  Compare -14 and -42
  Swap -14 and -42
  List after swap: [-25, -42, -14, 39, -43, 31, 16, 21, 41]
  Compare -14 and 39
  No swap needed
  Compare 39 and -43
  Swap 39 and -43
  List after swap: [-25, -42, -14, -43, 39, 31, 16, 21, 41]
  Compare 39 and 31
  Swap 39 and 31
  List after swap: [-25, -42, -14, -43, 31, 39, 16, 21, 41]
  Compare 39 and 16
  Swap 39 and 16
  List after swap: [-25, -42, -14, -43, 31, 16, 39, 21, 41]
  Compare 39 and 21
  Swap 39 and 21
  List after swap: [-25, -42, -14, -43, 31, 16, 21, 39, 41]

Pass 3:
  Compare -25 and -42
  Swap -25 and -42
  List after swap: [-42, -25, -14, -43, 31, 16, 21, 39, 41]
  Compare -25 and -14
  No swap needed
  Compare -14 and -43
  Swap -14 and -43
  List after swap: [-42, -25, -43, -14, 31, 16, 21, 39, 41]
  Compare -14 and 31
  No swap needed
  Compare 31 and 16
  Swap 31 and 16
  List after swap: [-42, -25, -43, -14, 16, 31, 21, 39, 41]
  Compare 31 and 21
  Swap 31 and 21
  List after swap: [-42, -25, -43, -14, 16, 21, 31, 39, 41]

Pass 4:
  Compare -42 and -25
  No swap needed
  Compare -25 and -43
  Swap -25 and -43
  List after swap: [-42, -43, -25, -14, 16, 21, 31, 39, 41]
  Compare -25 and -14
  No swap needed
  Compare -14 and 16
  No swap needed
  Compare 16 and 21
  No swap needed

Pass 5:
  Compare -42 and -43
  Swap -42 and -43
  List after swap: [-43, -42, -25, -14, 16, 21, 31, 39, 41]
  Compare -42 and -25
  No swap needed
  Compare -25 and -14
  No swap needed
  Compare -14 and 16
  No swap needed

Pass 6:
  Compare -43 and -42
  No swap needed
  Compare -42 and -25
  No swap needed
  Compare -25 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-43, -42, -25, -14, 16, 21, 31, 39, 41]
</think>

<response>-43, -42, -25, -14, 16, 21, 31, 39, 41</response>


input: Execute bubble sort to sort -94, -44, 26, 21, 78 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-94, -44, 26, 21, 78]

Pass 1:
  Compare -94 and -44
  No swap needed
  Compare -44 and 26
  No swap needed
  Compare 26 and 21
  Swap 26 and 21
  List after swap: [-94, -44, 21, 26, 78]
  Compare 26 and 78
  No swap needed

Pass 2:
  Compare -94 and -44
  No swap needed
  Compare -44 and 21
  No swap needed
  Compare 21 and 26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -44, 21, 26, 78]
</think>

<response>-94, -44, 21, 26, 78</response>


input: Demonstrate how bubble sort orders the integers 67, -16, 20 in ascending sequence, showing all steps.

output:
<think>
Initial list: [67, -16, 20]

Pass 1:
  Compare 67 and -16
  Swap 67 and -16
  List after swap: [-16, 67, 20]
  Compare 67 and 20
  Swap 67 and 20
  List after swap: [-16, 20, 67]

Pass 2:
  Compare -16 and 20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-16, 20, 67]
</think>

<response>-16, 20, 67</response>


input: Perform a bubble sort on the integers 70, -75, -69, 28, 43, -3, 83, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [70, -75, -69, 28, 43, -3, 83]

Pass 1:
  Compare 70 and -75
  Swap 70 and -75
  List after swap: [-75, 70, -69, 28, 43, -3, 83]
  Compare 70 and -69
  Swap 70 and -69
  List after swap: [-75, -69, 70, 28, 43, -3, 83]
  Compare 70 and 28
  Swap 70 and 28
  List after swap: [-75, -69, 28, 70, 43, -3, 83]
  Compare 70 and 43
  Swap 70 and 43
  List after swap: [-75, -69, 28, 43, 70, -3, 83]
  Compare 70 and -3
  Swap 70 and -3
  List after swap: [-75, -69, 28, 43, -3, 70, 83]
  Compare 70 and 83
  No swap needed

Pass 2:
  Compare -75 and -69
  No swap needed
  Compare -69 and 28
  No swap needed
  Compare 28 and 43
  No swap needed
  Compare 43 and -3
  Swap 43 and -3
  List after swap: [-75, -69, 28, -3, 43, 70, 83]
  Compare 43 and 70
  No swap needed

Pass 3:
  Compare -75 and -69
  No swap needed
  Compare -69 and 28
  No swap needed
  Compare 28 and -3
  Swap 28 and -3
  List after swap: [-75, -69, -3, 28, 43, 70, 83]
  Compare 28 and 43
  No swap needed

Pass 4:
  Compare -75 and -69
  No swap needed
  Compare -69 and -3
  No swap needed
  Compare -3 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -69, -3, 28, 43, 70, 83]
</think>

<response>-75, -69, -3, 28, 43, 70, 83</response>


input: Perform a bubble sort on the integers -16, 4, 97, -23, -24, 56, -59, 87, -22, 96, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-16, 4, 97, -23, -24, 56, -59, 87, -22, 96]

Pass 1:
  Compare -16 and 4
  No swap needed
  Compare 4 and 97
  No swap needed
  Compare 97 and -23
  Swap 97 and -23
  List after swap: [-16, 4, -23, 97, -24, 56, -59, 87, -22, 96]
  Compare 97 and -24
  Swap 97 and -24
  List after swap: [-16, 4, -23, -24, 97, 56, -59, 87, -22, 96]
  Compare 97 and 56
  Swap 97 and 56
  List after swap: [-16, 4, -23, -24, 56, 97, -59, 87, -22, 96]
  Compare 97 and -59
  Swap 97 and -59
  List after swap: [-16, 4, -23, -24, 56, -59, 97, 87, -22, 96]
  Compare 97 and 87
  Swap 97 and 87
  List after swap: [-16, 4, -23, -24, 56, -59, 87, 97, -22, 96]
  Compare 97 and -22
  Swap 97 and -22
  List after swap: [-16, 4, -23, -24, 56, -59, 87, -22, 97, 96]
  Compare 97 and 96
  Swap 97 and 96
  List after swap: [-16, 4, -23, -24, 56, -59, 87, -22, 96, 97]

Pass 2:
  Compare -16 and 4
  No swap needed
  Compare 4 and -23
  Swap 4 and -23
  List after swap: [-16, -23, 4, -24, 56, -59, 87, -22, 96, 97]
  Compare 4 and -24
  Swap 4 and -24
  List after swap: [-16, -23, -24, 4, 56, -59, 87, -22, 96, 97]
  Compare 4 and 56
  No swap needed
  Compare 56 and -59
  Swap 56 and -59
  List after swap: [-16, -23, -24, 4, -59, 56, 87, -22, 96, 97]
  Compare 56 and 87
  No swap needed
  Compare 87 and -22
  Swap 87 and -22
  List after swap: [-16, -23, -24, 4, -59, 56, -22, 87, 96, 97]
  Compare 87 and 96
  No swap needed

Pass 3:
  Compare -16 and -23
  Swap -16 and -23
  List after swap: [-23, -16, -24, 4, -59, 56, -22, 87, 96, 97]
  Compare -16 and -24
  Swap -16 and -24
  List after swap: [-23, -24, -16, 4, -59, 56, -22, 87, 96, 97]
  Compare -16 and 4
  No swap needed
  Compare 4 and -59
  Swap 4 and -59
  List after swap: [-23, -24, -16, -59, 4, 56, -22, 87, 96, 97]
  Compare 4 and 56
  No swap needed
  Compare 56 and -22
  Swap 56 and -22
  List after swap: [-23, -24, -16, -59, 4, -22, 56, 87, 96, 97]
  Compare 56 and 87
  No swap needed

Pass 4:
  Compare -23 and -24
  Swap -23 and -24
  List after swap: [-24, -23, -16, -59, 4, -22, 56, 87, 96, 97]
  Compare -23 and -16
  No swap needed
  Compare -16 and -59
  Swap -16 and -59
  List after swap: [-24, -23, -59, -16, 4, -22, 56, 87, 96, 97]
  Compare -16 and 4
  No swap needed
  Compare 4 and -22
  Swap 4 and -22
  List after swap: [-24, -23, -59, -16, -22, 4, 56, 87, 96, 97]
  Compare 4 and 56
  No swap needed

Pass 5:
  Compare -24 and -23
  No swap needed
  Compare -23 and -59
  Swap -23 and -59
  List after swap: [-24, -59, -23, -16, -22, 4, 56, 87, 96, 97]
  Compare -23 and -16
  No swap needed
  Compare -16 and -22
  Swap -16 and -22
  List after swap: [-24, -59, -23, -22, -16, 4, 56, 87, 96, 97]
  Compare -16 and 4
  No swap needed

Pass 6:
  Compare -24 and -59
  Swap -24 and -59
  List after swap: [-59, -24, -23, -22, -16, 4, 56, 87, 96, 97]
  Compare -24 and -23
  No swap needed
  Compare -23 and -22
  No swap needed
  Compare -22 and -16
  No swap needed

Pass 7:
  Compare -59 and -24
  No swap needed
  Compare -24 and -23
  No swap needed
  Compare -23 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, -24, -23, -22, -16, 4, 56, 87, 96, 97]
</think>

<response>-59, -24, -23, -22, -16, 4, 56, 87, 96, 97</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -45, -89.

output:
<think>
Initial list: [-45, -89]

Pass 1:
  Compare -45 and -89
  Swap -45 and -89
  List after swap: [-89, -45]

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

Final sorted list: [-89, -45]
</think>

<response>-89, -45</response>


input: Using the bubble sort method, sort 30, 73 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [30, 73]

Pass 1:
  Compare 30 and 73
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [30, 73]
</think>

<response>30, 73</response>


input: Sort the list 41, -90, -21 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [41, -90, -21]

Pass 1:
  Compare 41 and -90
  Swap 41 and -90
  List after swap: [-90, 41, -21]
  Compare 41 and -21
  Swap 41 and -21
  List after swap: [-90, -21, 41]

Pass 2:
  Compare -90 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -21, 41]
</think>

<response>-90, -21, 41</response>


input: Carry out the bubble sort algorithm on -57, 52, 34, -63, -17, -61, -43, 32, -64 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-57, 52, 34, -63, -17, -61, -43, 32, -64]

Pass 1:
  Compare -57 and 52
  No swap needed
  Compare 52 and 34
  Swap 52 and 34
  List after swap: [-57, 34, 52, -63, -17, -61, -43, 32, -64]
  Compare 52 and -63
  Swap 52 and -63
  List after swap: [-57, 34, -63, 52, -17, -61, -43, 32, -64]
  Compare 52 and -17
  Swap 52 and -17
  List after swap: [-57, 34, -63, -17, 52, -61, -43, 32, -64]
  Compare 52 and -61
  Swap 52 and -61
  List after swap: [-57, 34, -63, -17, -61, 52, -43, 32, -64]
  Compare 52 and -43
  Swap 52 and -43
  List after swap: [-57, 34, -63, -17, -61, -43, 52, 32, -64]
  Compare 52 and 32
  Swap 52 and 32
  List after swap: [-57, 34, -63, -17, -61, -43, 32, 52, -64]
  Compare 52 and -64
  Swap 52 and -64
  List after swap: [-57, 34, -63, -17, -61, -43, 32, -64, 52]

Pass 2:
  Compare -57 and 34
  No swap needed
  Compare 34 and -63
  Swap 34 and -63
  List after swap: [-57, -63, 34, -17, -61, -43, 32, -64, 52]
  Compare 34 and -17
  Swap 34 and -17
  List after swap: [-57, -63, -17, 34, -61, -43, 32, -64, 52]
  Compare 34 and -61
  Swap 34 and -61
  List after swap: [-57, -63, -17, -61, 34, -43, 32, -64, 52]
  Compare 34 and -43
  Swap 34 and -43
  List after swap: [-57, -63, -17, -61, -43, 34, 32, -64, 52]
  Compare 34 and 32
  Swap 34 and 32
  List after swap: [-57, -63, -17, -61, -43, 32, 34, -64, 52]
  Compare 34 and -64
  Swap 34 and -64
  List after swap: [-57, -63, -17, -61, -43, 32, -64, 34, 52]

Pass 3:
  Compare -57 and -63
  Swap -57 and -63
  List after swap: [-63, -57, -17, -61, -43, 32, -64, 34, 52]
  Compare -57 and -17
  No swap needed
  Compare -17 and -61
  Swap -17 and -61
  List after swap: [-63, -57, -61, -17, -43, 32, -64, 34, 52]
  Compare -17 and -43
  Swap -17 and -43
  List after swap: [-63, -57, -61, -43, -17, 32, -64, 34, 52]
  Compare -17 and 32
  No swap needed
  Compare 32 and -64
  Swap 32 and -64
  List after swap: [-63, -57, -61, -43, -17, -64, 32, 34, 52]

Pass 4:
  Compare -63 and -57
  No swap needed
  Compare -57 and -61
  Swap -57 and -61
  List after swap: [-63, -61, -57, -43, -17, -64, 32, 34, 52]
  Compare -57 and -43
  No swap needed
  Compare -43 and -17
  No swap needed
  Compare -17 and -64
  Swap -17 and -64
  List after swap: [-63, -61, -57, -43, -64, -17, 32, 34, 52]

Pass 5:
  Compare -63 and -61
  No swap needed
  Compare -61 and -57
  No swap needed
  Compare -57 and -43
  No swap needed
  Compare -43 and -64
  Swap -43 and -64
  List after swap: [-63, -61, -57, -64, -43, -17, 32, 34, 52]

Pass 6:
  Compare -63 and -61
  No swap needed
  Compare -61 and -57
  No swap needed
  Compare -57 and -64
  Swap -57 and -64
  List after swap: [-63, -61, -64, -57, -43, -17, 32, 34, 52]

Pass 7:
  Compare -63 and -61
  No swap needed
  Compare -61 and -64
  Swap -61 and -64
  List after swap: [-63, -64, -61, -57, -43, -17, 32, 34, 52]

Pass 8:
  Compare -63 and -64
  Swap -63 and -64
  List after swap: [-64, -63, -61, -57, -43, -17, 32, 34, 52]

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

Final sorted list: [-64, -63, -61, -57, -43, -17, 32, 34, 52]
</think>

<response>-64, -63, -61, -57, -43, -17, 32, 34, 52</response>


input: Implement bubble sort on -91, 77, -27, -2, -76 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-91, 77, -27, -2, -76]

Pass 1:
  Compare -91 and 77
  No swap needed
  Compare 77 and -27
  Swap 77 and -27
  List after swap: [-91, -27, 77, -2, -76]
  Compare 77 and -2
  Swap 77 and -2
  List after swap: [-91, -27, -2, 77, -76]
  Compare 77 and -76
  Swap 77 and -76
  List after swap: [-91, -27, -2, -76, 77]

Pass 2:
  Compare -91 and -27
  No swap needed
  Compare -27 and -2
  No swap needed
  Compare -2 and -76
  Swap -2 and -76
  List after swap: [-91, -27, -76, -2, 77]

Pass 3:
  Compare -91 and -27
  No swap needed
  Compare -27 and -76
  Swap -27 and -76
  List after swap: [-91, -76, -27, -2, 77]

Pass 4:
  Compare -91 and -76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -76, -27, -2, 77]
</think>

<response>-91, -76, -27, -2, 77</response>


input: Use the bubble sort technique to reorder -24, 0, -4, -77, 96, 17 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-24, 0, -4, -77, 96, 17]

Pass 1:
  Compare -24 and 0
  No swap needed
  Compare 0 and -4
  Swap 0 and -4
  List after swap: [-24, -4, 0, -77, 96, 17]
  Compare 0 and -77
  Swap 0 and -77
  List after swap: [-24, -4, -77, 0, 96, 17]
  Compare 0 and 96
  No swap needed
  Compare 96 and 17
  Swap 96 and 17
  List after swap: [-24, -4, -77, 0, 17, 96]

Pass 2:
  Compare -24 and -4
  No swap needed
  Compare -4 and -77
  Swap -4 and -77
  List after swap: [-24, -77, -4, 0, 17, 96]
  Compare -4 and 0
  No swap needed
  Compare 0 and 17
  No swap needed

Pass 3:
  Compare -24 and -77
  Swap -24 and -77
  List after swap: [-77, -24, -4, 0, 17, 96]
  Compare -24 and -4
  No swap needed
  Compare -4 and 0
  No swap needed

Pass 4:
  Compare -77 and -24
  No swap needed
  Compare -24 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -24, -4, 0, 17, 96]
</think>

<response>-77, -24, -4, 0, 17, 96</response>


input: Implement bubble sort on -98, -71 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-98, -71]

Pass 1:
  Compare -98 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -71]
</think>

<response>-98, -71</response>


input: Execute bubble sort to sort -60, -72, -4, -58, -25, -82, 92, 38, 41, 97 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-60, -72, -4, -58, -25, -82, 92, 38, 41, 97]

Pass 1:
  Compare -60 and -72
  Swap -60 and -72
  List after swap: [-72, -60, -4, -58, -25, -82, 92, 38, 41, 97]
  Compare -60 and -4
  No swap needed
  Compare -4 and -58
  Swap -4 and -58
  List after swap: [-72, -60, -58, -4, -25, -82, 92, 38, 41, 97]
  Compare -4 and -25
  Swap -4 and -25
  List after swap: [-72, -60, -58, -25, -4, -82, 92, 38, 41, 97]
  Compare -4 and -82
  Swap -4 and -82
  List after swap: [-72, -60, -58, -25, -82, -4, 92, 38, 41, 97]
  Compare -4 and 92
  No swap needed
  Compare 92 and 38
  Swap 92 and 38
  List after swap: [-72, -60, -58, -25, -82, -4, 38, 92, 41, 97]
  Compare 92 and 41
  Swap 92 and 41
  List after swap: [-72, -60, -58, -25, -82, -4, 38, 41, 92, 97]
  Compare 92 and 97
  No swap needed

Pass 2:
  Compare -72 and -60
  No swap needed
  Compare -60 and -58
  No swap needed
  Compare -58 and -25
  No swap needed
  Compare -25 and -82
  Swap -25 and -82
  List after swap: [-72, -60, -58, -82, -25, -4, 38, 41, 92, 97]
  Compare -25 and -4
  No swap needed
  Compare -4 and 38
  No swap needed
  Compare 38 and 41
  No swap needed
  Compare 41 and 92
  No swap needed

Pass 3:
  Compare -72 and -60
  No swap needed
  Compare -60 and -58
  No swap needed
  Compare -58 and -82
  Swap -58 and -82
  List after swap: [-72, -60, -82, -58, -25, -4, 38, 41, 92, 97]
  Compare -58 and -25
  No swap needed
  Compare -25 and -4
  No swap needed
  Compare -4 and 38
  No swap needed
  Compare 38 and 41
  No swap needed

Pass 4:
  Compare -72 and -60
  No swap needed
  Compare -60 and -82
  Swap -60 and -82
  List after swap: [-72, -82, -60, -58, -25, -4, 38, 41, 92, 97]
  Compare -60 and -58
  No swap needed
  Compare -58 and -25
  No swap needed
  Compare -25 and -4
  No swap needed
  Compare -4 and 38
  No swap needed

Pass 5:
  Compare -72 and -82
  Swap -72 and -82
  List after swap: [-82, -72, -60, -58, -25, -4, 38, 41, 92, 97]
  Compare -72 and -60
  No swap needed
  Compare -60 and -58
  No swap needed
  Compare -58 and -25
  No swap needed
  Compare -25 and -4
  No swap needed

Pass 6:
  Compare -82 and -72
  No swap needed
  Compare -72 and -60
  No swap needed
  Compare -60 and -58
  No swap needed
  Compare -58 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -72, -60, -58, -25, -4, 38, 41, 92, 97]
</think>

<response>-82, -72, -60, -58, -25, -4, 38, 41, 92, 97</response>


input: Implement bubble sort on -29, 11, -38, 53, 68, 3, 31, -27 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-29, 11, -38, 53, 68, 3, 31, -27]

Pass 1:
  Compare -29 and 11
  No swap needed
  Compare 11 and -38
  Swap 11 and -38
  List after swap: [-29, -38, 11, 53, 68, 3, 31, -27]
  Compare 11 and 53
  No swap needed
  Compare 53 and 68
  No swap needed
  Compare 68 and 3
  Swap 68 and 3
  List after swap: [-29, -38, 11, 53, 3, 68, 31, -27]
  Compare 68 and 31
  Swap 68 and 31
  List after swap: [-29, -38, 11, 53, 3, 31, 68, -27]
  Compare 68 and -27
  Swap 68 and -27
  List after swap: [-29, -38, 11, 53, 3, 31, -27, 68]

Pass 2:
  Compare -29 and -38
  Swap -29 and -38
  List after swap: [-38, -29, 11, 53, 3, 31, -27, 68]
  Compare -29 and 11
  No swap needed
  Compare 11 and 53
  No swap needed
  Compare 53 and 3
  Swap 53 and 3
  List after swap: [-38, -29, 11, 3, 53, 31, -27, 68]
  Compare 53 and 31
  Swap 53 and 31
  List after swap: [-38, -29, 11, 3, 31, 53, -27, 68]
  Compare 53 and -27
  Swap 53 and -27
  List after swap: [-38, -29, 11, 3, 31, -27, 53, 68]

Pass 3:
  Compare -38 and -29
  No swap needed
  Compare -29 and 11
  No swap needed
  Compare 11 and 3
  Swap 11 and 3
  List after swap: [-38, -29, 3, 11, 31, -27, 53, 68]
  Compare 11 and 31
  No swap needed
  Compare 31 and -27
  Swap 31 and -27
  List after swap: [-38, -29, 3, 11, -27, 31, 53, 68]

Pass 4:
  Compare -38 and -29
  No swap needed
  Compare -29 and 3
  No swap needed
  Compare 3 and 11
  No swap needed
  Compare 11 and -27
  Swap 11 and -27
  List after swap: [-38, -29, 3, -27, 11, 31, 53, 68]

Pass 5:
  Compare -38 and -29
  No swap needed
  Compare -29 and 3
  No swap needed
  Compare 3 and -27
  Swap 3 and -27
  List after swap: [-38, -29, -27, 3, 11, 31, 53, 68]

Pass 6:
  Compare -38 and -29
  No swap needed
  Compare -29 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-38, -29, -27, 3, 11, 31, 53, 68]
</think>

<response>-38, -29, -27, 3, 11, 31, 53, 68</response>


input: Using the bubble sort method, sort 52, -21, -9, 48, -96, 17, -18, 12, -17, 49 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [52, -21, -9, 48, -96, 17, -18, 12, -17, 49]

Pass 1:
  Compare 52 and -21
  Swap 52 and -21
  List after swap: [-21, 52, -9, 48, -96, 17, -18, 12, -17, 49]
  Compare 52 and -9
  Swap 52 and -9
  List after swap: [-21, -9, 52, 48, -96, 17, -18, 12, -17, 49]
  Compare 52 and 48
  Swap 52 and 48
  List after swap: [-21, -9, 48, 52, -96, 17, -18, 12, -17, 49]
  Compare 52 and -96
  Swap 52 and -96
  List after swap: [-21, -9, 48, -96, 52, 17, -18, 12, -17, 49]
  Compare 52 and 17
  Swap 52 and 17
  List after swap: [-21, -9, 48, -96, 17, 52, -18, 12, -17, 49]
  Compare 52 and -18
  Swap 52 and -18
  List after swap: [-21, -9, 48, -96, 17, -18, 52, 12, -17, 49]
  Compare 52 and 12
  Swap 52 and 12
  List after swap: [-21, -9, 48, -96, 17, -18, 12, 52, -17, 49]
  Compare 52 and -17
  Swap 52 and -17
  List after swap: [-21, -9, 48, -96, 17, -18, 12, -17, 52, 49]
  Compare 52 and 49
  Swap 52 and 49
  List after swap: [-21, -9, 48, -96, 17, -18, 12, -17, 49, 52]

Pass 2:
  Compare -21 and -9
  No swap needed
  Compare -9 and 48
  No swap needed
  Compare 48 and -96
  Swap 48 and -96
  List after swap: [-21, -9, -96, 48, 17, -18, 12, -17, 49, 52]
  Compare 48 and 17
  Swap 48 and 17
  List after swap: [-21, -9, -96, 17, 48, -18, 12, -17, 49, 52]
  Compare 48 and -18
  Swap 48 and -18
  List after swap: [-21, -9, -96, 17, -18, 48, 12, -17, 49, 52]
  Compare 48 and 12
  Swap 48 and 12
  List after swap: [-21, -9, -96, 17, -18, 12, 48, -17, 49, 52]
  Compare 48 and -17
  Swap 48 and -17
  List after swap: [-21, -9, -96, 17, -18, 12, -17, 48, 49, 52]
  Compare 48 and 49
  No swap needed

Pass 3:
  Compare -21 and -9
  No swap needed
  Compare -9 and -96
  Swap -9 and -96
  List after swap: [-21, -96, -9, 17, -18, 12, -17, 48, 49, 52]
  Compare -9 and 17
  No swap needed
  Compare 17 and -18
  Swap 17 and -18
  List after swap: [-21, -96, -9, -18, 17, 12, -17, 48, 49, 52]
  Compare 17 and 12
  Swap 17 and 12
  List after swap: [-21, -96, -9, -18, 12, 17, -17, 48, 49, 52]
  Compare 17 and -17
  Swap 17 and -17
  List after swap: [-21, -96, -9, -18, 12, -17, 17, 48, 49, 52]
  Compare 17 and 48
  No swap needed

Pass 4:
  Compare -21 and -96
  Swap -21 and -96
  List after swap: [-96, -21, -9, -18, 12, -17, 17, 48, 49, 52]
  Compare -21 and -9
  No swap needed
  Compare -9 and -18
  Swap -9 and -18
  List after swap: [-96, -21, -18, -9, 12, -17, 17, 48, 49, 52]
  Compare -9 and 12
  No swap needed
  Compare 12 and -17
  Swap 12 and -17
  List after swap: [-96, -21, -18, -9, -17, 12, 17, 48, 49, 52]
  Compare 12 and 17
  No swap needed

Pass 5:
  Compare -96 and -21
  No swap needed
  Compare -21 and -18
  No swap needed
  Compare -18 and -9
  No swap needed
  Compare -9 and -17
  Swap -9 and -17
  List after swap: [-96, -21, -18, -17, -9, 12, 17, 48, 49, 52]
  Compare -9 and 12
  No swap needed

Pass 6:
  Compare -96 and -21
  No swap needed
  Compare -21 and -18
  No swap needed
  Compare -18 and -17
  No swap needed
  Compare -17 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -21, -18, -17, -9, 12, 17, 48, 49, 52]
</think>

<response>-96, -21, -18, -17, -9, 12, 17, 48, 49, 52</response>


input: Perform a bubble sort on the integers -62, -74, 69, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-62, -74, 69]

Pass 1:
  Compare -62 and -74
  Swap -62 and -74
  List after swap: [-74, -62, 69]
  Compare -62 and 69
  No swap needed

Pass 2:
  Compare -74 and -62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -62, 69]
</think>

<response>-74, -62, 69</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -92, -5, -96, -99, 69, -33, 84, 10, -36.

output:
<think>
Initial list: [-92, -5, -96, -99, 69, -33, 84, 10, -36]

Pass 1:
  Compare -92 and -5
  No swap needed
  Compare -5 and -96
  Swap -5 and -96
  List after swap: [-92, -96, -5, -99, 69, -33, 84, 10, -36]
  Compare -5 and -99
  Swap -5 and -99
  List after swap: [-92, -96, -99, -5, 69, -33, 84, 10, -36]
  Compare -5 and 69
  No swap needed
  Compare 69 and -33
  Swap 69 and -33
  List after swap: [-92, -96, -99, -5, -33, 69, 84, 10, -36]
  Compare 69 and 84
  No swap needed
  Compare 84 and 10
  Swap 84 and 10
  List after swap: [-92, -96, -99, -5, -33, 69, 10, 84, -36]
  Compare 84 and -36
  Swap 84 and -36
  List after swap: [-92, -96, -99, -5, -33, 69, 10, -36, 84]

Pass 2:
  Compare -92 and -96
  Swap -92 and -96
  List after swap: [-96, -92, -99, -5, -33, 69, 10, -36, 84]
  Compare -92 and -99
  Swap -92 and -99
  List after swap: [-96, -99, -92, -5, -33, 69, 10, -36, 84]
  Compare -92 and -5
  No swap needed
  Compare -5 and -33
  Swap -5 and -33
  List after swap: [-96, -99, -92, -33, -5, 69, 10, -36, 84]
  Compare -5 and 69
  No swap needed
  Compare 69 and 10
  Swap 69 and 10
  List after swap: [-96, -99, -92, -33, -5, 10, 69, -36, 84]
  Compare 69 and -36
  Swap 69 and -36
  List after swap: [-96, -99, -92, -33, -5, 10, -36, 69, 84]

Pass 3:
  Compare -96 and -99
  Swap -96 and -99
  List after swap: [-99, -96, -92, -33, -5, 10, -36, 69, 84]
  Compare -96 and -92
  No swap needed
  Compare -92 and -33
  No swap needed
  Compare -33 and -5
  No swap needed
  Compare -5 and 10
  No swap needed
  Compare 10 and -36
  Swap 10 and -36
  List after swap: [-99, -96, -92, -33, -5, -36, 10, 69, 84]

Pass 4:
  Compare -99 and -96
  No swap needed
  Compare -96 and -92
  No swap needed
  Compare -92 and -33
  No swap needed
  Compare -33 and -5
  No swap needed
  Compare -5 and -36
  Swap -5 and -36
  List after swap: [-99, -96, -92, -33, -36, -5, 10, 69, 84]

Pass 5:
  Compare -99 and -96
  No swap needed
  Compare -96 and -92
  No swap needed
  Compare -92 and -33
  No swap needed
  Compare -33 and -36
  Swap -33 and -36
  List after swap: [-99, -96, -92, -36, -33, -5, 10, 69, 84]

Pass 6:
  Compare -99 and -96
  No swap needed
  Compare -96 and -92
  No swap needed
  Compare -92 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -96, -92, -36, -33, -5, 10, 69, 84]
</think>

<response>-99, -96, -92, -36, -33, -5, 10, 69, 84</response>


input: Demonstrate how bubble sort orders the integers -32, 56, 88, -97, -86, -80, -33, 12, 84, 46 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-32, 56, 88, -97, -86, -80, -33, 12, 84, 46]

Pass 1:
  Compare -32 and 56
  No swap needed
  Compare 56 and 88
  No swap needed
  Compare 88 and -97
  Swap 88 and -97
  List after swap: [-32, 56, -97, 88, -86, -80, -33, 12, 84, 46]
  Compare 88 and -86
  Swap 88 and -86
  List after swap: [-32, 56, -97, -86, 88, -80, -33, 12, 84, 46]
  Compare 88 and -80
  Swap 88 and -80
  List after swap: [-32, 56, -97, -86, -80, 88, -33, 12, 84, 46]
  Compare 88 and -33
  Swap 88 and -33
  List after swap: [-32, 56, -97, -86, -80, -33, 88, 12, 84, 46]
  Compare 88 and 12
  Swap 88 and 12
  List after swap: [-32, 56, -97, -86, -80, -33, 12, 88, 84, 46]
  Compare 88 and 84
  Swap 88 and 84
  List after swap: [-32, 56, -97, -86, -80, -33, 12, 84, 88, 46]
  Compare 88 and 46
  Swap 88 and 46
  List after swap: [-32, 56, -97, -86, -80, -33, 12, 84, 46, 88]

Pass 2:
  Compare -32 and 56
  No swap needed
  Compare 56 and -97
  Swap 56 and -97
  List after swap: [-32, -97, 56, -86, -80, -33, 12, 84, 46, 88]
  Compare 56 and -86
  Swap 56 and -86
  List after swap: [-32, -97, -86, 56, -80, -33, 12, 84, 46, 88]
  Compare 56 and -80
  Swap 56 and -80
  List after swap: [-32, -97, -86, -80, 56, -33, 12, 84, 46, 88]
  Compare 56 and -33
  Swap 56 and -33
  List after swap: [-32, -97, -86, -80, -33, 56, 12, 84, 46, 88]
  Compare 56 and 12
  Swap 56 and 12
  List after swap: [-32, -97, -86, -80, -33, 12, 56, 84, 46, 88]
  Compare 56 and 84
  No swap needed
  Compare 84 and 46
  Swap 84 and 46
  List after swap: [-32, -97, -86, -80, -33, 12, 56, 46, 84, 88]

Pass 3:
  Compare -32 and -97
  Swap -32 and -97
  List after swap: [-97, -32, -86, -80, -33, 12, 56, 46, 84, 88]
  Compare -32 and -86
  Swap -32 and -86
  List after swap: [-97, -86, -32, -80, -33, 12, 56, 46, 84, 88]
  Compare -32 and -80
  Swap -32 and -80
  List after swap: [-97, -86, -80, -32, -33, 12, 56, 46, 84, 88]
  Compare -32 and -33
  Swap -32 and -33
  List after swap: [-97, -86, -80, -33, -32, 12, 56, 46, 84, 88]
  Compare -32 and 12
  No swap needed
  Compare 12 and 56
  No swap needed
  Compare 56 and 46
  Swap 56 and 46
  List after swap: [-97, -86, -80, -33, -32, 12, 46, 56, 84, 88]

Pass 4:
  Compare -97 and -86
  No swap needed
  Compare -86 and -80
  No swap needed
  Compare -80 and -33
  No swap needed
  Compare -33 and -32
  No swap needed
  Compare -32 and 12
  No swap needed
  Compare 12 and 46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -86, -80, -33, -32, 12, 46, 56, 84, 88]
</think>

<response>-97, -86, -80, -33, -32, 12, 46, 56, 84, 88</response>


input: Execute bubble sort to sort -2, -15, 13, -8, 9, 52, 28 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-2, -15, 13, -8, 9, 52, 28]

Pass 1:
  Compare -2 and -15
  Swap -2 and -15
  List after swap: [-15, -2, 13, -8, 9, 52, 28]
  Compare -2 and 13
  No swap needed
  Compare 13 and -8
  Swap 13 and -8
  List after swap: [-15, -2, -8, 13, 9, 52, 28]
  Compare 13 and 9
  Swap 13 and 9
  List after swap: [-15, -2, -8, 9, 13, 52, 28]
  Compare 13 and 52
  No swap needed
  Compare 52 and 28
  Swap 52 and 28
  List after swap: [-15, -2, -8, 9, 13, 28, 52]

Pass 2:
  Compare -15 and -2
  No swap needed
  Compare -2 and -8
  Swap -2 and -8
  List after swap: [-15, -8, -2, 9, 13, 28, 52]
  Compare -2 and 9
  No swap needed
  Compare 9 and 13
  No swap needed
  Compare 13 and 28
  No swap needed

Pass 3:
  Compare -15 and -8
  No swap needed
  Compare -8 and -2
  No swap needed
  Compare -2 and 9
  No swap needed
  Compare 9 and 13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-15, -8, -2, 9, 13, 28, 52]
</think>

<response>-15, -8, -2, 9, 13, 28, 52</response>


input: Arrange the numbers -26, 7, 96 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-26, 7, 96]

Pass 1:
  Compare -26 and 7
  No swap needed
  Compare 7 and 96
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-26, 7, 96]
</think>

<response>-26, 7, 96</response>


input: Perform a bubble sort on the integers 23, -72, -66, -91, -95, 54, -93, -26, 68, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [23, -72, -66, -91, -95, 54, -93, -26, 68]

Pass 1:
  Compare 23 and -72
  Swap 23 and -72
  List after swap: [-72, 23, -66, -91, -95, 54, -93, -26, 68]
  Compare 23 and -66
  Swap 23 and -66
  List after swap: [-72, -66, 23, -91, -95, 54, -93, -26, 68]
  Compare 23 and -91
  Swap 23 and -91
  List after swap: [-72, -66, -91, 23, -95, 54, -93, -26, 68]
  Compare 23 and -95
  Swap 23 and -95
  List after swap: [-72, -66, -91, -95, 23, 54, -93, -26, 68]
  Compare 23 and 54
  No swap needed
  Compare 54 and -93
  Swap 54 and -93
  List after swap: [-72, -66, -91, -95, 23, -93, 54, -26, 68]
  Compare 54 and -26
  Swap 54 and -26
  List after swap: [-72, -66, -91, -95, 23, -93, -26, 54, 68]
  Compare 54 and 68
  No swap needed

Pass 2:
  Compare -72 and -66
  No swap needed
  Compare -66 and -91
  Swap -66 and -91
  List after swap: [-72, -91, -66, -95, 23, -93, -26, 54, 68]
  Compare -66 and -95
  Swap -66 and -95
  List after swap: [-72, -91, -95, -66, 23, -93, -26, 54, 68]
  Compare -66 and 23
  No swap needed
  Compare 23 and -93
  Swap 23 and -93
  List after swap: [-72, -91, -95, -66, -93, 23, -26, 54, 68]
  Compare 23 and -26
  Swap 23 and -26
  List after swap: [-72, -91, -95, -66, -93, -26, 23, 54, 68]
  Compare 23 and 54
  No swap needed

Pass 3:
  Compare -72 and -91
  Swap -72 and -91
  List after swap: [-91, -72, -95, -66, -93, -26, 23, 54, 68]
  Compare -72 and -95
  Swap -72 and -95
  List after swap: [-91, -95, -72, -66, -93, -26, 23, 54, 68]
  Compare -72 and -66
  No swap needed
  Compare -66 and -93
  Swap -66 and -93
  List after swap: [-91, -95, -72, -93, -66, -26, 23, 54, 68]
  Compare -66 and -26
  No swap needed
  Compare -26 and 23
  No swap needed

Pass 4:
  Compare -91 and -95
  Swap -91 and -95
  List after swap: [-95, -91, -72, -93, -66, -26, 23, 54, 68]
  Compare -91 and -72
  No swap needed
  Compare -72 and -93
  Swap -72 and -93
  List after swap: [-95, -91, -93, -72, -66, -26, 23, 54, 68]
  Compare -72 and -66
  No swap needed
  Compare -66 and -26
  No swap needed

Pass 5:
  Compare -95 and -91
  No swap needed
  Compare -91 and -93
  Swap -91 and -93
  List after swap: [-95, -93, -91, -72, -66, -26, 23, 54, 68]
  Compare -91 and -72
  No swap needed
  Compare -72 and -66
  No swap needed

Pass 6:
  Compare -95 and -93
  No swap needed
  Compare -93 and -91
  No swap needed
  Compare -91 and -72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -93, -91, -72, -66, -26, 23, 54, 68]
</think>

<response>-95, -93, -91, -72, -66, -26, 23, 54, 68</response>


input: Perform a bubble sort on the integers 56, -33, -79, 67, 54, -28, -1, 96, 86, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [56, -33, -79, 67, 54, -28, -1, 96, 86]

Pass 1:
  Compare 56 and -33
  Swap 56 and -33
  List after swap: [-33, 56, -79, 67, 54, -28, -1, 96, 86]
  Compare 56 and -79
  Swap 56 and -79
  List after swap: [-33, -79, 56, 67, 54, -28, -1, 96, 86]
  Compare 56 and 67
  No swap needed
  Compare 67 and 54
  Swap 67 and 54
  List after swap: [-33, -79, 56, 54, 67, -28, -1, 96, 86]
  Compare 67 and -28
  Swap 67 and -28
  List after swap: [-33, -79, 56, 54, -28, 67, -1, 96, 86]
  Compare 67 and -1
  Swap 67 and -1
  List after swap: [-33, -79, 56, 54, -28, -1, 67, 96, 86]
  Compare 67 and 96
  No swap needed
  Compare 96 and 86
  Swap 96 and 86
  List after swap: [-33, -79, 56, 54, -28, -1, 67, 86, 96]

Pass 2:
  Compare -33 and -79
  Swap -33 and -79
  List after swap: [-79, -33, 56, 54, -28, -1, 67, 86, 96]
  Compare -33 and 56
  No swap needed
  Compare 56 and 54
  Swap 56 and 54
  List after swap: [-79, -33, 54, 56, -28, -1, 67, 86, 96]
  Compare 56 and -28
  Swap 56 and -28
  List after swap: [-79, -33, 54, -28, 56, -1, 67, 86, 96]
  Compare 56 and -1
  Swap 56 and -1
  List after swap: [-79, -33, 54, -28, -1, 56, 67, 86, 96]
  Compare 56 and 67
  No swap needed
  Compare 67 and 86
  No swap needed

Pass 3:
  Compare -79 and -33
  No swap needed
  Compare -33 and 54
  No swap needed
  Compare 54 and -28
  Swap 54 and -28
  List after swap: [-79, -33, -28, 54, -1, 56, 67, 86, 96]
  Compare 54 and -1
  Swap 54 and -1
  List after swap: [-79, -33, -28, -1, 54, 56, 67, 86, 96]
  Compare 54 and 56
  No swap needed
  Compare 56 and 67
  No swap needed

Pass 4:
  Compare -79 and -33
  No swap needed
  Compare -33 and -28
  No swap needed
  Compare -28 and -1
  No swap needed
  Compare -1 and 54
  No swap needed
  Compare 54 and 56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -33, -28, -1, 54, 56, 67, 86, 96]
</think>

<response>-79, -33, -28, -1, 54, 56, 67, 86, 96</response>


input: Sort the list -78, -93, 71, -18, -63, 95 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-78, -93, 71, -18, -63, 95]

Pass 1:
  Compare -78 and -93
  Swap -78 and -93
  List after swap: [-93, -78, 71, -18, -63, 95]
  Compare -78 and 71
  No swap needed
  Compare 71 and -18
  Swap 71 and -18
  List after swap: [-93, -78, -18, 71, -63, 95]
  Compare 71 and -63
  Swap 71 and -63
  List after swap: [-93, -78, -18, -63, 71, 95]
  Compare 71 and 95
  No swap needed

Pass 2:
  Compare -93 and -78
  No swap needed
  Compare -78 and -18
  No swap needed
  Compare -18 and -63
  Swap -18 and -63
  List after swap: [-93, -78, -63, -18, 71, 95]
  Compare -18 and 71
  No swap needed

Pass 3:
  Compare -93 and -78
  No swap needed
  Compare -78 and -63
  No swap needed
  Compare -63 and -18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -78, -63, -18, 71, 95]
</think>

<response>-93, -78, -63, -18, 71, 95</response>


input: Sort these integers 74, -26, 18, 22, 31 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [74, -26, 18, 22, 31]

Pass 1:
  Compare 74 and -26
  Swap 74 and -26
  List after swap: [-26, 74, 18, 22, 31]
  Compare 74 and 18
  Swap 74 and 18
  List after swap: [-26, 18, 74, 22, 31]
  Compare 74 and 22
  Swap 74 and 22
  List after swap: [-26, 18, 22, 74, 31]
  Compare 74 and 31
  Swap 74 and 31
  List after swap: [-26, 18, 22, 31, 74]

Pass 2:
  Compare -26 and 18
  No swap needed
  Compare 18 and 22
  No swap needed
  Compare 22 and 31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-26, 18, 22, 31, 74]
</think>

<response>-26, 18, 22, 31, 74</response>


input: Demonstrate how bubble sort orders the integers -75, -18, 25, -26, 13, -32, -43 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-75, -18, 25, -26, 13, -32, -43]

Pass 1:
  Compare -75 and -18
  No swap needed
  Compare -18 and 25
  No swap needed
  Compare 25 and -26
  Swap 25 and -26
  List after swap: [-75, -18, -26, 25, 13, -32, -43]
  Compare 25 and 13
  Swap 25 and 13
  List after swap: [-75, -18, -26, 13, 25, -32, -43]
  Compare 25 and -32
  Swap 25 and -32
  List after swap: [-75, -18, -26, 13, -32, 25, -43]
  Compare 25 and -43
  Swap 25 and -43
  List after swap: [-75, -18, -26, 13, -32, -43, 25]

Pass 2:
  Compare -75 and -18
  No swap needed
  Compare -18 and -26
  Swap -18 and -26
  List after swap: [-75, -26, -18, 13, -32, -43, 25]
  Compare -18 and 13
  No swap needed
  Compare 13 and -32
  Swap 13 and -32
  List after swap: [-75, -26, -18, -32, 13, -43, 25]
  Compare 13 and -43
  Swap 13 and -43
  List after swap: [-75, -26, -18, -32, -43, 13, 25]

Pass 3:
  Compare -75 and -26
  No swap needed
  Compare -26 and -18
  No swap needed
  Compare -18 and -32
  Swap -18 and -32
  List after swap: [-75, -26, -32, -18, -43, 13, 25]
  Compare -18 and -43
  Swap -18 and -43
  List after swap: [-75, -26, -32, -43, -18, 13, 25]

Pass 4:
  Compare -75 and -26
  No swap needed
  Compare -26 and -32
  Swap -26 and -32
  List after swap: [-75, -32, -26, -43, -18, 13, 25]
  Compare -26 and -43
  Swap -26 and -43
  List after swap: [-75, -32, -43, -26, -18, 13, 25]

Pass 5:
  Compare -75 and -32
  No swap needed
  Compare -32 and -43
  Swap -32 and -43
  List after swap: [-75, -43, -32, -26, -18, 13, 25]

Pass 6:
  Compare -75 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -43, -32, -26, -18, 13, 25]
</think>

<response>-75, -43, -32, -26, -18, 13, 25</response>


input: Sort these integers 89, 41, 25, 22, 62 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [89, 41, 25, 22, 62]

Pass 1:
  Compare 89 and 41
  Swap 89 and 41
  List after swap: [41, 89, 25, 22, 62]
  Compare 89 and 25
  Swap 89 and 25
  List after swap: [41, 25, 89, 22, 62]
  Compare 89 and 22
  Swap 89 and 22
  List after swap: [41, 25, 22, 89, 62]
  Compare 89 and 62
  Swap 89 and 62
  List after swap: [41, 25, 22, 62, 89]

Pass 2:
  Compare 41 and 25
  Swap 41 and 25
  List after swap: [25, 41, 22, 62, 89]
  Compare 41 and 22
  Swap 41 and 22
  List after swap: [25, 22, 41, 62, 89]
  Compare 41 and 62
  No swap needed

Pass 3:
  Compare 25 and 22
  Swap 25 and 22
  List after swap: [22, 25, 41, 62, 89]
  Compare 25 and 41
  No swap needed

Pass 4:
  Compare 22 and 25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [22, 25, 41, 62, 89]
</think>

<response>22, 25, 41, 62, 89</response>


input: Use the bubble sort technique to reorder 59, -45, -33, 86, 55, 13, 78, -29, 52 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [59, -45, -33, 86, 55, 13, 78, -29, 52]

Pass 1:
  Compare 59 and -45
  Swap 59 and -45
  List after swap: [-45, 59, -33, 86, 55, 13, 78, -29, 52]
  Compare 59 and -33
  Swap 59 and -33
  List after swap: [-45, -33, 59, 86, 55, 13, 78, -29, 52]
  Compare 59 and 86
  No swap needed
  Compare 86 and 55
  Swap 86 and 55
  List after swap: [-45, -33, 59, 55, 86, 13, 78, -29, 52]
  Compare 86 and 13
  Swap 86 and 13
  List after swap: [-45, -33, 59, 55, 13, 86, 78, -29, 52]
  Compare 86 and 78
  Swap 86 and 78
  List after swap: [-45, -33, 59, 55, 13, 78, 86, -29, 52]
  Compare 86 and -29
  Swap 86 and -29
  List after swap: [-45, -33, 59, 55, 13, 78, -29, 86, 52]
  Compare 86 and 52
  Swap 86 and 52
  List after swap: [-45, -33, 59, 55, 13, 78, -29, 52, 86]

Pass 2:
  Compare -45 and -33
  No swap needed
  Compare -33 and 59
  No swap needed
  Compare 59 and 55
  Swap 59 and 55
  List after swap: [-45, -33, 55, 59, 13, 78, -29, 52, 86]
  Compare 59 and 13
  Swap 59 and 13
  List after swap: [-45, -33, 55, 13, 59, 78, -29, 52, 86]
  Compare 59 and 78
  No swap needed
  Compare 78 and -29
  Swap 78 and -29
  List after swap: [-45, -33, 55, 13, 59, -29, 78, 52, 86]
  Compare 78 and 52
  Swap 78 and 52
  List after swap: [-45, -33, 55, 13, 59, -29, 52, 78, 86]

Pass 3:
  Compare -45 and -33
  No swap needed
  Compare -33 and 55
  No swap needed
  Compare 55 and 13
  Swap 55 and 13
  List after swap: [-45, -33, 13, 55, 59, -29, 52, 78, 86]
  Compare 55 and 59
  No swap needed
  Compare 59 and -29
  Swap 59 and -29
  List after swap: [-45, -33, 13, 55, -29, 59, 52, 78, 86]
  Compare 59 and 52
  Swap 59 and 52
  List after swap: [-45, -33, 13, 55, -29, 52, 59, 78, 86]

Pass 4:
  Compare -45 and -33
  No swap needed
  Compare -33 and 13
  No swap needed
  Compare 13 and 55
  No swap needed
  Compare 55 and -29
  Swap 55 and -29
  List after swap: [-45, -33, 13, -29, 55, 52, 59, 78, 86]
  Compare 55 and 52
  Swap 55 and 52
  List after swap: [-45, -33, 13, -29, 52, 55, 59, 78, 86]

Pass 5:
  Compare -45 and -33
  No swap needed
  Compare -33 and 13
  No swap needed
  Compare 13 and -29
  Swap 13 and -29
  List after swap: [-45, -33, -29, 13, 52, 55, 59, 78, 86]
  Compare 13 and 52
  No swap needed

Pass 6:
  Compare -45 and -33
  No swap needed
  Compare -33 and -29
  No swap needed
  Compare -29 and 13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-45, -33, -29, 13, 52, 55, 59, 78, 86]
</think>

<response>-45, -33, -29, 13, 52, 55, 59, 78, 86</response>


input: Sort the list -35, -71, 50, 69, -90 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-35, -71, 50, 69, -90]

Pass 1:
  Compare -35 and -71
  Swap -35 and -71
  List after swap: [-71, -35, 50, 69, -90]
  Compare -35 and 50
  No swap needed
  Compare 50 and 69
  No swap needed
  Compare 69 and -90
  Swap 69 and -90
  List after swap: [-71, -35, 50, -90, 69]

Pass 2:
  Compare -71 and -35
  No swap needed
  Compare -35 and 50
  No swap needed
  Compare 50 and -90
  Swap 50 and -90
  List after swap: [-71, -35, -90, 50, 69]

Pass 3:
  Compare -71 and -35
  No swap needed
  Compare -35 and -90
  Swap -35 and -90
  List after swap: [-71, -90, -35, 50, 69]

Pass 4:
  Compare -71 and -90
  Swap -71 and -90
  List after swap: [-90, -71, -35, 50, 69]

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

Final sorted list: [-90, -71, -35, 50, 69]
</think>

<response>-90, -71, -35, 50, 69</response>


input: Carry out the bubble sort algorithm on 60, 45, -99, -15, 99, 95, -98, 73, -94 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [60, 45, -99, -15, 99, 95, -98, 73, -94]

Pass 1:
  Compare 60 and 45
  Swap 60 and 45
  List after swap: [45, 60, -99, -15, 99, 95, -98, 73, -94]
  Compare 60 and -99
  Swap 60 and -99
  List after swap: [45, -99, 60, -15, 99, 95, -98, 73, -94]
  Compare 60 and -15
  Swap 60 and -15
  List after swap: [45, -99, -15, 60, 99, 95, -98, 73, -94]
  Compare 60 and 99
  No swap needed
  Compare 99 and 95
  Swap 99 and 95
  List after swap: [45, -99, -15, 60, 95, 99, -98, 73, -94]
  Compare 99 and -98
  Swap 99 and -98
  List after swap: [45, -99, -15, 60, 95, -98, 99, 73, -94]
  Compare 99 and 73
  Swap 99 and 73
  List after swap: [45, -99, -15, 60, 95, -98, 73, 99, -94]
  Compare 99 and -94
  Swap 99 and -94
  List after swap: [45, -99, -15, 60, 95, -98, 73, -94, 99]

Pass 2:
  Compare 45 and -99
  Swap 45 and -99
  List after swap: [-99, 45, -15, 60, 95, -98, 73, -94, 99]
  Compare 45 and -15
  Swap 45 and -15
  List after swap: [-99, -15, 45, 60, 95, -98, 73, -94, 99]
  Compare 45 and 60
  No swap needed
  Compare 60 and 95
  No swap needed
  Compare 95 and -98
  Swap 95 and -98
  List after swap: [-99, -15, 45, 60, -98, 95, 73, -94, 99]
  Compare 95 and 73
  Swap 95 and 73
  List after swap: [-99, -15, 45, 60, -98, 73, 95, -94, 99]
  Compare 95 and -94
  Swap 95 and -94
  List after swap: [-99, -15, 45, 60, -98, 73, -94, 95, 99]

Pass 3:
  Compare -99 and -15
  No swap needed
  Compare -15 and 45
  No swap needed
  Compare 45 and 60
  No swap needed
  Compare 60 and -98
  Swap 60 and -98
  List after swap: [-99, -15, 45, -98, 60, 73, -94, 95, 99]
  Compare 60 and 73
  No swap needed
  Compare 73 and -94
  Swap 73 and -94
  List after swap: [-99, -15, 45, -98, 60, -94, 73, 95, 99]

Pass 4:
  Compare -99 and -15
  No swap needed
  Compare -15 and 45
  No swap needed
  Compare 45 and -98
  Swap 45 and -98
  List after swap: [-99, -15, -98, 45, 60, -94, 73, 95, 99]
  Compare 45 and 60
  No swap needed
  Compare 60 and -94
  Swap 60 and -94
  List after swap: [-99, -15, -98, 45, -94, 60, 73, 95, 99]

Pass 5:
  Compare -99 and -15
  No swap needed
  Compare -15 and -98
  Swap -15 and -98
  List after swap: [-99, -98, -15, 45, -94, 60, 73, 95, 99]
  Compare -15 and 45
  No swap needed
  Compare 45 and -94
  Swap 45 and -94
  List after swap: [-99, -98, -15, -94, 45, 60, 73, 95, 99]

Pass 6:
  Compare -99 and -98
  No swap needed
  Compare -98 and -15
  No swap needed
  Compare -15 and -94
  Swap -15 and -94
  List after swap: [-99, -98, -94, -15, 45, 60, 73, 95, 99]

Pass 7:
  Compare -99 and -98
  No swap needed
  Compare -98 and -94
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -98, -94, -15, 45, 60, 73, 95, 99]
</think>

<response>-99, -98, -94, -15, 45, 60, 73, 95, 99</response>


input: Use the bubble sort technique to reorder -80, -31, -1, 7, -98, 93, 11, -77, -50 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-80, -31, -1, 7, -98, 93, 11, -77, -50]

Pass 1:
  Compare -80 and -31
  No swap needed
  Compare -31 and -1
  No swap needed
  Compare -1 and 7
  No swap needed
  Compare 7 and -98
  Swap 7 and -98
  List after swap: [-80, -31, -1, -98, 7, 93, 11, -77, -50]
  Compare 7 and 93
  No swap needed
  Compare 93 and 11
  Swap 93 and 11
  List after swap: [-80, -31, -1, -98, 7, 11, 93, -77, -50]
  Compare 93 and -77
  Swap 93 and -77
  List after swap: [-80, -31, -1, -98, 7, 11, -77, 93, -50]
  Compare 93 and -50
  Swap 93 and -50
  List after swap: [-80, -31, -1, -98, 7, 11, -77, -50, 93]

Pass 2:
  Compare -80 and -31
  No swap needed
  Compare -31 and -1
  No swap needed
  Compare -1 and -98
  Swap -1 and -98
  List after swap: [-80, -31, -98, -1, 7, 11, -77, -50, 93]
  Compare -1 and 7
  No swap needed
  Compare 7 and 11
  No swap needed
  Compare 11 and -77
  Swap 11 and -77
  List after swap: [-80, -31, -98, -1, 7, -77, 11, -50, 93]
  Compare 11 and -50
  Swap 11 and -50
  List after swap: [-80, -31, -98, -1, 7, -77, -50, 11, 93]

Pass 3:
  Compare -80 and -31
  No swap needed
  Compare -31 and -98
  Swap -31 and -98
  List after swap: [-80, -98, -31, -1, 7, -77, -50, 11, 93]
  Compare -31 and -1
  No swap needed
  Compare -1 and 7
  No swap needed
  Compare 7 and -77
  Swap 7 and -77
  List after swap: [-80, -98, -31, -1, -77, 7, -50, 11, 93]
  Compare 7 and -50
  Swap 7 and -50
  List after swap: [-80, -98, -31, -1, -77, -50, 7, 11, 93]

Pass 4:
  Compare -80 and -98
  Swap -80 and -98
  List after swap: [-98, -80, -31, -1, -77, -50, 7, 11, 93]
  Compare -80 and -31
  No swap needed
  Compare -31 and -1
  No swap needed
  Compare -1 and -77
  Swap -1 and -77
  List after swap: [-98, -80, -31, -77, -1, -50, 7, 11, 93]
  Compare -1 and -50
  Swap -1 and -50
  List after swap: [-98, -80, -31, -77, -50, -1, 7, 11, 93]

Pass 5:
  Compare -98 and -80
  No swap needed
  Compare -80 and -31
  No swap needed
  Compare -31 and -77
  Swap -31 and -77
  List after swap: [-98, -80, -77, -31, -50, -1, 7, 11, 93]
  Compare -31 and -50
  Swap -31 and -50
  List after swap: [-98, -80, -77, -50, -31, -1, 7, 11, 93]

Pass 6:
  Compare -98 and -80
  No swap needed
  Compare -80 and -77
  No swap needed
  Compare -77 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -80, -77, -50, -31, -1, 7, 11, 93]
</think>

<response>-98, -80, -77, -50, -31, -1, 7, 11, 93</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 0, 8, -24, 21, 57, 23, 82.

output:
<think>
Initial list: [0, 8, -24, 21, 57, 23, 82]

Pass 1:
  Compare 0 and 8
  No swap needed
  Compare 8 and -24
  Swap 8 and -24
  List after swap: [0, -24, 8, 21, 57, 23, 82]
  Compare 8 and 21
  No swap needed
  Compare 21 and 57
  No swap needed
  Compare 57 and 23
  Swap 57 and 23
  List after swap: [0, -24, 8, 21, 23, 57, 82]
  Compare 57 and 82
  No swap needed

Pass 2:
  Compare 0 and -24
  Swap 0 and -24
  List after swap: [-24, 0, 8, 21, 23, 57, 82]
  Compare 0 and 8
  No swap needed
  Compare 8 and 21
  No swap needed
  Compare 21 and 23
  No swap needed
  Compare 23 and 57
  No swap needed

Pass 3:
  Compare -24 and 0
  No swap needed
  Compare 0 and 8
  No swap needed
  Compare 8 and 21
  No swap needed
  Compare 21 and 23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-24, 0, 8, 21, 23, 57, 82]
</think>

<response>-24, 0, 8, 21, 23, 57, 82</response>


input: Demonstrate how bubble sort orders the integers 74, 43, -82, 70, 51, 91, -44, -79, -75 in ascending sequence, showing all steps.

output:
<think>
Initial list: [74, 43, -82, 70, 51, 91, -44, -79, -75]

Pass 1:
  Compare 74 and 43
  Swap 74 and 43
  List after swap: [43, 74, -82, 70, 51, 91, -44, -79, -75]
  Compare 74 and -82
  Swap 74 and -82
  List after swap: [43, -82, 74, 70, 51, 91, -44, -79, -75]
  Compare 74 and 70
  Swap 74 and 70
  List after swap: [43, -82, 70, 74, 51, 91, -44, -79, -75]
  Compare 74 and 51
  Swap 74 and 51
  List after swap: [43, -82, 70, 51, 74, 91, -44, -79, -75]
  Compare 74 and 91
  No swap needed
  Compare 91 and -44
  Swap 91 and -44
  List after swap: [43, -82, 70, 51, 74, -44, 91, -79, -75]
  Compare 91 and -79
  Swap 91 and -79
  List after swap: [43, -82, 70, 51, 74, -44, -79, 91, -75]
  Compare 91 and -75
  Swap 91 and -75
  List after swap: [43, -82, 70, 51, 74, -44, -79, -75, 91]

Pass 2:
  Compare 43 and -82
  Swap 43 and -82
  List after swap: [-82, 43, 70, 51, 74, -44, -79, -75, 91]
  Compare 43 and 70
  No swap needed
  Compare 70 and 51
  Swap 70 and 51
  List after swap: [-82, 43, 51, 70, 74, -44, -79, -75, 91]
  Compare 70 and 74
  No swap needed
  Compare 74 and -44
  Swap 74 and -44
  List after swap: [-82, 43, 51, 70, -44, 74, -79, -75, 91]
  Compare 74 and -79
  Swap 74 and -79
  List after swap: [-82, 43, 51, 70, -44, -79, 74, -75, 91]
  Compare 74 and -75
  Swap 74 and -75
  List after swap: [-82, 43, 51, 70, -44, -79, -75, 74, 91]

Pass 3:
  Compare -82 and 43
  No swap needed
  Compare 43 and 51
  No swap needed
  Compare 51 and 70
  No swap needed
  Compare 70 and -44
  Swap 70 and -44
  List after swap: [-82, 43, 51, -44, 70, -79, -75, 74, 91]
  Compare 70 and -79
  Swap 70 and -79
  List after swap: [-82, 43, 51, -44, -79, 70, -75, 74, 91]
  Compare 70 and -75
  Swap 70 and -75
  List after swap: [-82, 43, 51, -44, -79, -75, 70, 74, 91]

Pass 4:
  Compare -82 and 43
  No swap needed
  Compare 43 and 51
  No swap needed
  Compare 51 and -44
  Swap 51 and -44
  List after swap: [-82, 43, -44, 51, -79, -75, 70, 74, 91]
  Compare 51 and -79
  Swap 51 and -79
  List after swap: [-82, 43, -44, -79, 51, -75, 70, 74, 91]
  Compare 51 and -75
  Swap 51 and -75
  List after swap: [-82, 43, -44, -79, -75, 51, 70, 74, 91]

Pass 5:
  Compare -82 and 43
  No swap needed
  Compare 43 and -44
  Swap 43 and -44
  List after swap: [-82, -44, 43, -79, -75, 51, 70, 74, 91]
  Compare 43 and -79
  Swap 43 and -79
  List after swap: [-82, -44, -79, 43, -75, 51, 70, 74, 91]
  Compare 43 and -75
  Swap 43 and -75
  List after swap: [-82, -44, -79, -75, 43, 51, 70, 74, 91]

Pass 6:
  Compare -82 and -44
  No swap needed
  Compare -44 and -79
  Swap -44 and -79
  List after swap: [-82, -79, -44, -75, 43, 51, 70, 74, 91]
  Compare -44 and -75
  Swap -44 and -75
  List after swap: [-82, -79, -75, -44, 43, 51, 70, 74, 91]

Pass 7:
  Compare -82 and -79
  No swap needed
  Compare -79 and -75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -79, -75, -44, 43, 51, 70, 74, 91]
</think>

<response>-82, -79, -75, -44, 43, 51, 70, 74, 91</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -67, 89, -64, -32, 40, 77.

output:
<think>
Initial list: [-67, 89, -64, -32, 40, 77]

Pass 1:
  Compare -67 and 89
  No swap needed
  Compare 89 and -64
  Swap 89 and -64
  List after swap: [-67, -64, 89, -32, 40, 77]
  Compare 89 and -32
  Swap 89 and -32
  List after swap: [-67, -64, -32, 89, 40, 77]
  Compare 89 and 40
  Swap 89 and 40
  List after swap: [-67, -64, -32, 40, 89, 77]
  Compare 89 and 77
  Swap 89 and 77
  List after swap: [-67, -64, -32, 40, 77, 89]

Pass 2:
  Compare -67 and -64
  No swap needed
  Compare -64 and -32
  No swap needed
  Compare -32 and 40
  No swap needed
  Compare 40 and 77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -64, -32, 40, 77, 89]
</think>

<response>-67, -64, -32, 40, 77, 89</response>


input: Demonstrate how bubble sort orders the integers 55, -41, 67 in ascending sequence, showing all steps.

output:
<think>
Initial list: [55, -41, 67]

Pass 1:
  Compare 55 and -41
  Swap 55 and -41
  List after swap: [-41, 55, 67]
  Compare 55 and 67
  No swap needed

Pass 2:
  Compare -41 and 55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-41, 55, 67]
</think>

<response>-41, 55, 67</response>


input: Perform a bubble sort on the integers 24, 57, -4, -15, 73, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [24, 57, -4, -15, 73]

Pass 1:
  Compare 24 and 57
  No swap needed
  Compare 57 and -4
  Swap 57 and -4
  List after swap: [24, -4, 57, -15, 73]
  Compare 57 and -15
  Swap 57 and -15
  List after swap: [24, -4, -15, 57, 73]
  Compare 57 and 73
  No swap needed

Pass 2:
  Compare 24 and -4
  Swap 24 and -4
  List after swap: [-4, 24, -15, 57, 73]
  Compare 24 and -15
  Swap 24 and -15
  List after swap: [-4, -15, 24, 57, 73]
  Compare 24 and 57
  No swap needed

Pass 3:
  Compare -4 and -15
  Swap -4 and -15
  List after swap: [-15, -4, 24, 57, 73]
  Compare -4 and 24
  No swap needed

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

Final sorted list: [-15, -4, 24, 57, 73]
</think>

<response>-15, -4, 24, 57, 73</response>


input: Implement bubble sort on 13, -69, 96 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [13, -69, 96]

Pass 1:
  Compare 13 and -69
  Swap 13 and -69
  List after swap: [-69, 13, 96]
  Compare 13 and 96
  No swap needed

Pass 2:
  Compare -69 and 13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, 13, 96]
</think>

<response>-69, 13, 96</response>


input: Sort the list 3, -68, -62, 67, 96, -92, -56 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [3, -68, -62, 67, 96, -92, -56]

Pass 1:
  Compare 3 and -68
  Swap 3 and -68
  List after swap: [-68, 3, -62, 67, 96, -92, -56]
  Compare 3 and -62
  Swap 3 and -62
  List after swap: [-68, -62, 3, 67, 96, -92, -56]
  Compare 3 and 67
  No swap needed
  Compare 67 and 96
  No swap needed
  Compare 96 and -92
  Swap 96 and -92
  List after swap: [-68, -62, 3, 67, -92, 96, -56]
  Compare 96 and -56
  Swap 96 and -56
  List after swap: [-68, -62, 3, 67, -92, -56, 96]

Pass 2:
  Compare -68 and -62
  No swap needed
  Compare -62 and 3
  No swap needed
  Compare 3 and 67
  No swap needed
  Compare 67 and -92
  Swap 67 and -92
  List after swap: [-68, -62, 3, -92, 67, -56, 96]
  Compare 67 and -56
  Swap 67 and -56
  List after swap: [-68, -62, 3, -92, -56, 67, 96]

Pass 3:
  Compare -68 and -62
  No swap needed
  Compare -62 and 3
  No swap needed
  Compare 3 and -92
  Swap 3 and -92
  List after swap: [-68, -62, -92, 3, -56, 67, 96]
  Compare 3 and -56
  Swap 3 and -56
  List after swap: [-68, -62, -92, -56, 3, 67, 96]

Pass 4:
  Compare -68 and -62
  No swap needed
  Compare -62 and -92
  Swap -62 and -92
  List after swap: [-68, -92, -62, -56, 3, 67, 96]
  Compare -62 and -56
  No swap needed

Pass 5:
  Compare -68 and -92
  Swap -68 and -92
  List after swap: [-92, -68, -62, -56, 3, 67, 96]
  Compare -68 and -62
  No swap needed

Pass 6:
  Compare -92 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -68, -62, -56, 3, 67, 96]
</think>

<response>-92, -68, -62, -56, 3, 67, 96</response>


input: Use the bubble sort technique to reorder -96, -28, 45, -47, 64 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-96, -28, 45, -47, 64]

Pass 1:
  Compare -96 and -28
  No swap needed
  Compare -28 and 45
  No swap needed
  Compare 45 and -47
  Swap 45 and -47
  List after swap: [-96, -28, -47, 45, 64]
  Compare 45 and 64
  No swap needed

Pass 2:
  Compare -96 and -28
  No swap needed
  Compare -28 and -47
  Swap -28 and -47
  List after swap: [-96, -47, -28, 45, 64]
  Compare -28 and 45
  No swap needed

Pass 3:
  Compare -96 and -47
  No swap needed
  Compare -47 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -47, -28, 45, 64]
</think>

<response>-96, -47, -28, 45, 64</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -84, -97, -7, -81, 89, 36.

output:
<think>
Initial list: [-84, -97, -7, -81, 89, 36]

Pass 1:
  Compare -84 and -97
  Swap -84 and -97
  List after swap: [-97, -84, -7, -81, 89, 36]
  Compare -84 and -7
  No swap needed
  Compare -7 and -81
  Swap -7 and -81
  List after swap: [-97, -84, -81, -7, 89, 36]
  Compare -7 and 89
  No swap needed
  Compare 89 and 36
  Swap 89 and 36
  List after swap: [-97, -84, -81, -7, 36, 89]

Pass 2:
  Compare -97 and -84
  No swap needed
  Compare -84 and -81
  No swap needed
  Compare -81 and -7
  No swap needed
  Compare -7 and 36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -84, -81, -7, 36, 89]
</think>

<response>-97, -84, -81, -7, 36, 89</response>


input: Execute bubble sort to sort -76, 58, 93, 24, 97, -81, 61 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-76, 58, 93, 24, 97, -81, 61]

Pass 1:
  Compare -76 and 58
  No swap needed
  Compare 58 and 93
  No swap needed
  Compare 93 and 24
  Swap 93 and 24
  List after swap: [-76, 58, 24, 93, 97, -81, 61]
  Compare 93 and 97
  No swap needed
  Compare 97 and -81
  Swap 97 and -81
  List after swap: [-76, 58, 24, 93, -81, 97, 61]
  Compare 97 and 61
  Swap 97 and 61
  List after swap: [-76, 58, 24, 93, -81, 61, 97]

Pass 2:
  Compare -76 and 58
  No swap needed
  Compare 58 and 24
  Swap 58 and 24
  List after swap: [-76, 24, 58, 93, -81, 61, 97]
  Compare 58 and 93
  No swap needed
  Compare 93 and -81
  Swap 93 and -81
  List after swap: [-76, 24, 58, -81, 93, 61, 97]
  Compare 93 and 61
  Swap 93 and 61
  List after swap: [-76, 24, 58, -81, 61, 93, 97]

Pass 3:
  Compare -76 and 24
  No swap needed
  Compare 24 and 58
  No swap needed
  Compare 58 and -81
  Swap 58 and -81
  List after swap: [-76, 24, -81, 58, 61, 93, 97]
  Compare 58 and 61
  No swap needed

Pass 4:
  Compare -76 and 24
  No swap needed
  Compare 24 and -81
  Swap 24 and -81
  List after swap: [-76, -81, 24, 58, 61, 93, 97]
  Compare 24 and 58
  No swap needed

Pass 5:
  Compare -76 and -81
  Swap -76 and -81
  List after swap: [-81, -76, 24, 58, 61, 93, 97]
  Compare -76 and 24
  No swap needed

Pass 6:
  Compare -81 and -76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -76, 24, 58, 61, 93, 97]
</think>

<response>-81, -76, 24, 58, 61, 93, 97</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 47, -42, -63, 69, -17, -82, -53, 11.

output:
<think>
Initial list: [47, -42, -63, 69, -17, -82, -53, 11]

Pass 1:
  Compare 47 and -42
  Swap 47 and -42
  List after swap: [-42, 47, -63, 69, -17, -82, -53, 11]
  Compare 47 and -63
  Swap 47 and -63
  List after swap: [-42, -63, 47, 69, -17, -82, -53, 11]
  Compare 47 and 69
  No swap needed
  Compare 69 and -17
  Swap 69 and -17
  List after swap: [-42, -63, 47, -17, 69, -82, -53, 11]
  Compare 69 and -82
  Swap 69 and -82
  List after swap: [-42, -63, 47, -17, -82, 69, -53, 11]
  Compare 69 and -53
  Swap 69 and -53
  List after swap: [-42, -63, 47, -17, -82, -53, 69, 11]
  Compare 69 and 11
  Swap 69 and 11
  List after swap: [-42, -63, 47, -17, -82, -53, 11, 69]

Pass 2:
  Compare -42 and -63
  Swap -42 and -63
  List after swap: [-63, -42, 47, -17, -82, -53, 11, 69]
  Compare -42 and 47
  No swap needed
  Compare 47 and -17
  Swap 47 and -17
  List after swap: [-63, -42, -17, 47, -82, -53, 11, 69]
  Compare 47 and -82
  Swap 47 and -82
  List after swap: [-63, -42, -17, -82, 47, -53, 11, 69]
  Compare 47 and -53
  Swap 47 and -53
  List after swap: [-63, -42, -17, -82, -53, 47, 11, 69]
  Compare 47 and 11
  Swap 47 and 11
  List after swap: [-63, -42, -17, -82, -53, 11, 47, 69]

Pass 3:
  Compare -63 and -42
  No swap needed
  Compare -42 and -17
  No swap needed
  Compare -17 and -82
  Swap -17 and -82
  List after swap: [-63, -42, -82, -17, -53, 11, 47, 69]
  Compare -17 and -53
  Swap -17 and -53
  List after swap: [-63, -42, -82, -53, -17, 11, 47, 69]
  Compare -17 and 11
  No swap needed

Pass 4:
  Compare -63 and -42
  No swap needed
  Compare -42 and -82
  Swap -42 and -82
  List after swap: [-63, -82, -42, -53, -17, 11, 47, 69]
  Compare -42 and -53
  Swap -42 and -53
  List after swap: [-63, -82, -53, -42, -17, 11, 47, 69]
  Compare -42 and -17
  No swap needed

Pass 5:
  Compare -63 and -82
  Swap -63 and -82
  List after swap: [-82, -63, -53, -42, -17, 11, 47, 69]
  Compare -63 and -53
  No swap needed
  Compare -53 and -42
  No swap needed

Pass 6:
  Compare -82 and -63
  No swap needed
  Compare -63 and -53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -63, -53, -42, -17, 11, 47, 69]
</think>

<response>-82, -63, -53, -42, -17, 11, 47, 69</response>


input: Carry out the bubble sort algorithm on -40, 89, -67 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-40, 89, -67]

Pass 1:
  Compare -40 and 89
  No swap needed
  Compare 89 and -67
  Swap 89 and -67
  List after swap: [-40, -67, 89]

Pass 2:
  Compare -40 and -67
  Swap -40 and -67
  List after swap: [-67, -40, 89]

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

Final sorted list: [-67, -40, 89]
</think>

<response>-67, -40, 89</response>


input: Perform a bubble sort on the integers 62, -3, -60, -23, -93, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [62, -3, -60, -23, -93]

Pass 1:
  Compare 62 and -3
  Swap 62 and -3
  List after swap: [-3, 62, -60, -23, -93]
  Compare 62 and -60
  Swap 62 and -60
  List after swap: [-3, -60, 62, -23, -93]
  Compare 62 and -23
  Swap 62 and -23
  List after swap: [-3, -60, -23, 62, -93]
  Compare 62 and -93
  Swap 62 and -93
  List after swap: [-3, -60, -23, -93, 62]

Pass 2:
  Compare -3 and -60
  Swap -3 and -60
  List after swap: [-60, -3, -23, -93, 62]
  Compare -3 and -23
  Swap -3 and -23
  List after swap: [-60, -23, -3, -93, 62]
  Compare -3 and -93
  Swap -3 and -93
  List after swap: [-60, -23, -93, -3, 62]

Pass 3:
  Compare -60 and -23
  No swap needed
  Compare -23 and -93
  Swap -23 and -93
  List after swap: [-60, -93, -23, -3, 62]

Pass 4:
  Compare -60 and -93
  Swap -60 and -93
  List after swap: [-93, -60, -23, -3, 62]

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

Final sorted list: [-93, -60, -23, -3, 62]
</think>

<response>-93, -60, -23, -3, 62</response>


input: Sort these integers 2, -64, -29, 60, -72, -91 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [2, -64, -29, 60, -72, -91]

Pass 1:
  Compare 2 and -64
  Swap 2 and -64
  List after swap: [-64, 2, -29, 60, -72, -91]
  Compare 2 and -29
  Swap 2 and -29
  List after swap: [-64, -29, 2, 60, -72, -91]
  Compare 2 and 60
  No swap needed
  Compare 60 and -72
  Swap 60 and -72
  List after swap: [-64, -29, 2, -72, 60, -91]
  Compare 60 and -91
  Swap 60 and -91
  List after swap: [-64, -29, 2, -72, -91, 60]

Pass 2:
  Compare -64 and -29
  No swap needed
  Compare -29 and 2
  No swap needed
  Compare 2 and -72
  Swap 2 and -72
  List after swap: [-64, -29, -72, 2, -91, 60]
  Compare 2 and -91
  Swap 2 and -91
  List after swap: [-64, -29, -72, -91, 2, 60]

Pass 3:
  Compare -64 and -29
  No swap needed
  Compare -29 and -72
  Swap -29 and -72
  List after swap: [-64, -72, -29, -91, 2, 60]
  Compare -29 and -91
  Swap -29 and -91
  List after swap: [-64, -72, -91, -29, 2, 60]

Pass 4:
  Compare -64 and -72
  Swap -64 and -72
  List after swap: [-72, -64, -91, -29, 2, 60]
  Compare -64 and -91
  Swap -64 and -91
  List after swap: [-72, -91, -64, -29, 2, 60]

Pass 5:
  Compare -72 and -91
  Swap -72 and -91
  List after swap: [-91, -72, -64, -29, 2, 60]

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

Final sorted list: [-91, -72, -64, -29, 2, 60]
</think>

<response>-91, -72, -64, -29, 2, 60</response>


input: Carry out the bubble sort algorithm on 42, 87, 22 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [42, 87, 22]

Pass 1:
  Compare 42 and 87
  No swap needed
  Compare 87 and 22
  Swap 87 and 22
  List after swap: [42, 22, 87]

Pass 2:
  Compare 42 and 22
  Swap 42 and 22
  List after swap: [22, 42, 87]

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

Final sorted list: [22, 42, 87]
</think>

<response>22, 42, 87</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 60, 84, -42, 38, -54.

output:
<think>
Initial list: [60, 84, -42, 38, -54]

Pass 1:
  Compare 60 and 84
  No swap needed
  Compare 84 and -42
  Swap 84 and -42
  List after swap: [60, -42, 84, 38, -54]
  Compare 84 and 38
  Swap 84 and 38
  List after swap: [60, -42, 38, 84, -54]
  Compare 84 and -54
  Swap 84 and -54
  List after swap: [60, -42, 38, -54, 84]

Pass 2:
  Compare 60 and -42
  Swap 60 and -42
  List after swap: [-42, 60, 38, -54, 84]
  Compare 60 and 38
  Swap 60 and 38
  List after swap: [-42, 38, 60, -54, 84]
  Compare 60 and -54
  Swap 60 and -54
  List after swap: [-42, 38, -54, 60, 84]

Pass 3:
  Compare -42 and 38
  No swap needed
  Compare 38 and -54
  Swap 38 and -54
  List after swap: [-42, -54, 38, 60, 84]

Pass 4:
  Compare -42 and -54
  Swap -42 and -54
  List after swap: [-54, -42, 38, 60, 84]

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

Final sorted list: [-54, -42, 38, 60, 84]
</think>

<response>-54, -42, 38, 60, 84</response>


input: Use the bubble sort technique to reorder -14, 53, 39, 79, -97, 7, 89 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-14, 53, 39, 79, -97, 7, 89]

Pass 1:
  Compare -14 and 53
  No swap needed
  Compare 53 and 39
  Swap 53 and 39
  List after swap: [-14, 39, 53, 79, -97, 7, 89]
  Compare 53 and 79
  No swap needed
  Compare 79 and -97
  Swap 79 and -97
  List after swap: [-14, 39, 53, -97, 79, 7, 89]
  Compare 79 and 7
  Swap 79 and 7
  List after swap: [-14, 39, 53, -97, 7, 79, 89]
  Compare 79 and 89
  No swap needed

Pass 2:
  Compare -14 and 39
  No swap needed
  Compare 39 and 53
  No swap needed
  Compare 53 and -97
  Swap 53 and -97
  List after swap: [-14, 39, -97, 53, 7, 79, 89]
  Compare 53 and 7
  Swap 53 and 7
  List after swap: [-14, 39, -97, 7, 53, 79, 89]
  Compare 53 and 79
  No swap needed

Pass 3:
  Compare -14 and 39
  No swap needed
  Compare 39 and -97
  Swap 39 and -97
  List after swap: [-14, -97, 39, 7, 53, 79, 89]
  Compare 39 and 7
  Swap 39 and 7
  List after swap: [-14, -97, 7, 39, 53, 79, 89]
  Compare 39 and 53
  No swap needed

Pass 4:
  Compare -14 and -97
  Swap -14 and -97
  List after swap: [-97, -14, 7, 39, 53, 79, 89]
  Compare -14 and 7
  No swap needed
  Compare 7 and 39
  No swap needed

Pass 5:
  Compare -97 and -14
  No swap needed
  Compare -14 and 7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -14, 7, 39, 53, 79, 89]
</think>

<response>-97, -14, 7, 39, 53, 79, 89</response>


input: Demonstrate how bubble sort orders the integers 67, -2, 68, 90, -24 in ascending sequence, showing all steps.

output:
<think>
Initial list: [67, -2, 68, 90, -24]

Pass 1:
  Compare 67 and -2
  Swap 67 and -2
  List after swap: [-2, 67, 68, 90, -24]
  Compare 67 and 68
  No swap needed
  Compare 68 and 90
  No swap needed
  Compare 90 and -24
  Swap 90 and -24
  List after swap: [-2, 67, 68, -24, 90]

Pass 2:
  Compare -2 and 67
  No swap needed
  Compare 67 and 68
  No swap needed
  Compare 68 and -24
  Swap 68 and -24
  List after swap: [-2, 67, -24, 68, 90]

Pass 3:
  Compare -2 and 67
  No swap needed
  Compare 67 and -24
  Swap 67 and -24
  List after swap: [-2, -24, 67, 68, 90]

Pass 4:
  Compare -2 and -24
  Swap -2 and -24
  List after swap: [-24, -2, 67, 68, 90]

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

Final sorted list: [-24, -2, 67, 68, 90]
</think>

<response>-24, -2, 67, 68, 90</response>


input: Carry out the bubble sort algorithm on -69, -7, -42, 28, -68, 63, 55 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-69, -7, -42, 28, -68, 63, 55]

Pass 1:
  Compare -69 and -7
  No swap needed
  Compare -7 and -42
  Swap -7 and -42
  List after swap: [-69, -42, -7, 28, -68, 63, 55]
  Compare -7 and 28
  No swap needed
  Compare 28 and -68
  Swap 28 and -68
  List after swap: [-69, -42, -7, -68, 28, 63, 55]
  Compare 28 and 63
  No swap needed
  Compare 63 and 55
  Swap 63 and 55
  List after swap: [-69, -42, -7, -68, 28, 55, 63]

Pass 2:
  Compare -69 and -42
  No swap needed
  Compare -42 and -7
  No swap needed
  Compare -7 and -68
  Swap -7 and -68
  List after swap: [-69, -42, -68, -7, 28, 55, 63]
  Compare -7 and 28
  No swap needed
  Compare 28 and 55
  No swap needed

Pass 3:
  Compare -69 and -42
  No swap needed
  Compare -42 and -68
  Swap -42 and -68
  List after swap: [-69, -68, -42, -7, 28, 55, 63]
  Compare -42 and -7
  No swap needed
  Compare -7 and 28
  No swap needed

Pass 4:
  Compare -69 and -68
  No swap needed
  Compare -68 and -42
  No swap needed
  Compare -42 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -68, -42, -7, 28, 55, 63]
</think>

<response>-69, -68, -42, -7, 28, 55, 63</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 44, 57, 19.

output:
<think>
Initial list: [44, 57, 19]

Pass 1:
  Compare 44 and 57
  No swap needed
  Compare 57 and 19
  Swap 57 and 19
  List after swap: [44, 19, 57]

Pass 2:
  Compare 44 and 19
  Swap 44 and 19
  List after swap: [19, 44, 57]

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

Final sorted list: [19, 44, 57]
</think>

<response>19, 44, 57</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -16, -68.

output:
<think>
Initial list: [-16, -68]

Pass 1:
  Compare -16 and -68
  Swap -16 and -68
  List after swap: [-68, -16]

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

Final sorted list: [-68, -16]
</think>

<response>-68, -16</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 37, -6, -50, 26, 88.

output:
<think>
Initial list: [37, -6, -50, 26, 88]

Pass 1:
  Compare 37 and -6
  Swap 37 and -6
  List after swap: [-6, 37, -50, 26, 88]
  Compare 37 and -50
  Swap 37 and -50
  List after swap: [-6, -50, 37, 26, 88]
  Compare 37 and 26
  Swap 37 and 26
  List after swap: [-6, -50, 26, 37, 88]
  Compare 37 and 88
  No swap needed

Pass 2:
  Compare -6 and -50
  Swap -6 and -50
  List after swap: [-50, -6, 26, 37, 88]
  Compare -6 and 26
  No swap needed
  Compare 26 and 37
  No swap needed

Pass 3:
  Compare -50 and -6
  No swap needed
  Compare -6 and 26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, -6, 26, 37, 88]
</think>

<response>-50, -6, 26, 37, 88</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -19, -32, 81, 45, 26, -50.

output:
<think>
Initial list: [-19, -32, 81, 45, 26, -50]

Pass 1:
  Compare -19 and -32
  Swap -19 and -32
  List after swap: [-32, -19, 81, 45, 26, -50]
  Compare -19 and 81
  No swap needed
  Compare 81 and 45
  Swap 81 and 45
  List after swap: [-32, -19, 45, 81, 26, -50]
  Compare 81 and 26
  Swap 81 and 26
  List after swap: [-32, -19, 45, 26, 81, -50]
  Compare 81 and -50
  Swap 81 and -50
  List after swap: [-32, -19, 45, 26, -50, 81]

Pass 2:
  Compare -32 and -19
  No swap needed
  Compare -19 and 45
  No swap needed
  Compare 45 and 26
  Swap 45 and 26
  List after swap: [-32, -19, 26, 45, -50, 81]
  Compare 45 and -50
  Swap 45 and -50
  List after swap: [-32, -19, 26, -50, 45, 81]

Pass 3:
  Compare -32 and -19
  No swap needed
  Compare -19 and 26
  No swap needed
  Compare 26 and -50
  Swap 26 and -50
  List after swap: [-32, -19, -50, 26, 45, 81]

Pass 4:
  Compare -32 and -19
  No swap needed
  Compare -19 and -50
  Swap -19 and -50
  List after swap: [-32, -50, -19, 26, 45, 81]

Pass 5:
  Compare -32 and -50
  Swap -32 and -50
  List after swap: [-50, -32, -19, 26, 45, 81]

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

Final sorted list: [-50, -32, -19, 26, 45, 81]
</think>

<response>-50, -32, -19, 26, 45, 81</response>


input: Implement bubble sort on 30, -47, 65, 21, 97 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [30, -47, 65, 21, 97]

Pass 1:
  Compare 30 and -47
  Swap 30 and -47
  List after swap: [-47, 30, 65, 21, 97]
  Compare 30 and 65
  No swap needed
  Compare 65 and 21
  Swap 65 and 21
  List after swap: [-47, 30, 21, 65, 97]
  Compare 65 and 97
  No swap needed

Pass 2:
  Compare -47 and 30
  No swap needed
  Compare 30 and 21
  Swap 30 and 21
  List after swap: [-47, 21, 30, 65, 97]
  Compare 30 and 65
  No swap needed

Pass 3:
  Compare -47 and 21
  No swap needed
  Compare 21 and 30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-47, 21, 30, 65, 97]
</think>

<response>-47, 21, 30, 65, 97</response>