input: Demonstrate how bubble sort orders the integers -95, 64, -93, 92, 57, 7, 81, 47, -59 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-95, 64, -93, 92, 57, 7, 81, 47, -59]

Pass 1:
  Compare -95 and 64
  No swap needed
  Compare 64 and -93
  Swap 64 and -93
  List after swap: [-95, -93, 64, 92, 57, 7, 81, 47, -59]
  Compare 64 and 92
  No swap needed
  Compare 92 and 57
  Swap 92 and 57
  List after swap: [-95, -93, 64, 57, 92, 7, 81, 47, -59]
  Compare 92 and 7
  Swap 92 and 7
  List after swap: [-95, -93, 64, 57, 7, 92, 81, 47, -59]
  Compare 92 and 81
  Swap 92 and 81
  List after swap: [-95, -93, 64, 57, 7, 81, 92, 47, -59]
  Compare 92 and 47
  Swap 92 and 47
  List after swap: [-95, -93, 64, 57, 7, 81, 47, 92, -59]
  Compare 92 and -59
  Swap 92 and -59
  List after swap: [-95, -93, 64, 57, 7, 81, 47, -59, 92]

Pass 2:
  Compare -95 and -93
  No swap needed
  Compare -93 and 64
  No swap needed
  Compare 64 and 57
  Swap 64 and 57
  List after swap: [-95, -93, 57, 64, 7, 81, 47, -59, 92]
  Compare 64 and 7
  Swap 64 and 7
  List after swap: [-95, -93, 57, 7, 64, 81, 47, -59, 92]
  Compare 64 and 81
  No swap needed
  Compare 81 and 47
  Swap 81 and 47
  List after swap: [-95, -93, 57, 7, 64, 47, 81, -59, 92]
  Compare 81 and -59
  Swap 81 and -59
  List after swap: [-95, -93, 57, 7, 64, 47, -59, 81, 92]

Pass 3:
  Compare -95 and -93
  No swap needed
  Compare -93 and 57
  No swap needed
  Compare 57 and 7
  Swap 57 and 7
  List after swap: [-95, -93, 7, 57, 64, 47, -59, 81, 92]
  Compare 57 and 64
  No swap needed
  Compare 64 and 47
  Swap 64 and 47
  List after swap: [-95, -93, 7, 57, 47, 64, -59, 81, 92]
  Compare 64 and -59
  Swap 64 and -59
  List after swap: [-95, -93, 7, 57, 47, -59, 64, 81, 92]

Pass 4:
  Compare -95 and -93
  No swap needed
  Compare -93 and 7
  No swap needed
  Compare 7 and 57
  No swap needed
  Compare 57 and 47
  Swap 57 and 47
  List after swap: [-95, -93, 7, 47, 57, -59, 64, 81, 92]
  Compare 57 and -59
  Swap 57 and -59
  List after swap: [-95, -93, 7, 47, -59, 57, 64, 81, 92]

Pass 5:
  Compare -95 and -93
  No swap needed
  Compare -93 and 7
  No swap needed
  Compare 7 and 47
  No swap needed
  Compare 47 and -59
  Swap 47 and -59
  List after swap: [-95, -93, 7, -59, 47, 57, 64, 81, 92]

Pass 6:
  Compare -95 and -93
  No swap needed
  Compare -93 and 7
  No swap needed
  Compare 7 and -59
  Swap 7 and -59
  List after swap: [-95, -93, -59, 7, 47, 57, 64, 81, 92]

Pass 7:
  Compare -95 and -93
  No swap needed
  Compare -93 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -93, -59, 7, 47, 57, 64, 81, 92]
</think>

<response>-95, -93, -59, 7, 47, 57, 64, 81, 92</response>


input: Perform a bubble sort on the integers 96, 27, -26, 97, 83, 66, -49, -42, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [96, 27, -26, 97, 83, 66, -49, -42]

Pass 1:
  Compare 96 and 27
  Swap 96 and 27
  List after swap: [27, 96, -26, 97, 83, 66, -49, -42]
  Compare 96 and -26
  Swap 96 and -26
  List after swap: [27, -26, 96, 97, 83, 66, -49, -42]
  Compare 96 and 97
  No swap needed
  Compare 97 and 83
  Swap 97 and 83
  List after swap: [27, -26, 96, 83, 97, 66, -49, -42]
  Compare 97 and 66
  Swap 97 and 66
  List after swap: [27, -26, 96, 83, 66, 97, -49, -42]
  Compare 97 and -49
  Swap 97 and -49
  List after swap: [27, -26, 96, 83, 66, -49, 97, -42]
  Compare 97 and -42
  Swap 97 and -42
  List after swap: [27, -26, 96, 83, 66, -49, -42, 97]

Pass 2:
  Compare 27 and -26
  Swap 27 and -26
  List after swap: [-26, 27, 96, 83, 66, -49, -42, 97]
  Compare 27 and 96
  No swap needed
  Compare 96 and 83
  Swap 96 and 83
  List after swap: [-26, 27, 83, 96, 66, -49, -42, 97]
  Compare 96 and 66
  Swap 96 and 66
  List after swap: [-26, 27, 83, 66, 96, -49, -42, 97]
  Compare 96 and -49
  Swap 96 and -49
  List after swap: [-26, 27, 83, 66, -49, 96, -42, 97]
  Compare 96 and -42
  Swap 96 and -42
  List after swap: [-26, 27, 83, 66, -49, -42, 96, 97]

Pass 3:
  Compare -26 and 27
  No swap needed
  Compare 27 and 83
  No swap needed
  Compare 83 and 66
  Swap 83 and 66
  List after swap: [-26, 27, 66, 83, -49, -42, 96, 97]
  Compare 83 and -49
  Swap 83 and -49
  List after swap: [-26, 27, 66, -49, 83, -42, 96, 97]
  Compare 83 and -42
  Swap 83 and -42
  List after swap: [-26, 27, 66, -49, -42, 83, 96, 97]

Pass 4:
  Compare -26 and 27
  No swap needed
  Compare 27 and 66
  No swap needed
  Compare 66 and -49
  Swap 66 and -49
  List after swap: [-26, 27, -49, 66, -42, 83, 96, 97]
  Compare 66 and -42
  Swap 66 and -42
  List after swap: [-26, 27, -49, -42, 66, 83, 96, 97]

Pass 5:
  Compare -26 and 27
  No swap needed
  Compare 27 and -49
  Swap 27 and -49
  List after swap: [-26, -49, 27, -42, 66, 83, 96, 97]
  Compare 27 and -42
  Swap 27 and -42
  List after swap: [-26, -49, -42, 27, 66, 83, 96, 97]

Pass 6:
  Compare -26 and -49
  Swap -26 and -49
  List after swap: [-49, -26, -42, 27, 66, 83, 96, 97]
  Compare -26 and -42
  Swap -26 and -42
  List after swap: [-49, -42, -26, 27, 66, 83, 96, 97]

Pass 7:
  Compare -49 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-49, -42, -26, 27, 66, 83, 96, 97]
</think>

<response>-49, -42, -26, 27, 66, 83, 96, 97</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -85, -26, -7, -41, -62, -86, 41, -16, -100.

output:
<think>
Initial list: [-85, -26, -7, -41, -62, -86, 41, -16, -100]

Pass 1:
  Compare -85 and -26
  No swap needed
  Compare -26 and -7
  No swap needed
  Compare -7 and -41
  Swap -7 and -41
  List after swap: [-85, -26, -41, -7, -62, -86, 41, -16, -100]
  Compare -7 and -62
  Swap -7 and -62
  List after swap: [-85, -26, -41, -62, -7, -86, 41, -16, -100]
  Compare -7 and -86
  Swap -7 and -86
  List after swap: [-85, -26, -41, -62, -86, -7, 41, -16, -100]
  Compare -7 and 41
  No swap needed
  Compare 41 and -16
  Swap 41 and -16
  List after swap: [-85, -26, -41, -62, -86, -7, -16, 41, -100]
  Compare 41 and -100
  Swap 41 and -100
  List after swap: [-85, -26, -41, -62, -86, -7, -16, -100, 41]

Pass 2:
  Compare -85 and -26
  No swap needed
  Compare -26 and -41
  Swap -26 and -41
  List after swap: [-85, -41, -26, -62, -86, -7, -16, -100, 41]
  Compare -26 and -62
  Swap -26 and -62
  List after swap: [-85, -41, -62, -26, -86, -7, -16, -100, 41]
  Compare -26 and -86
  Swap -26 and -86
  List after swap: [-85, -41, -62, -86, -26, -7, -16, -100, 41]
  Compare -26 and -7
  No swap needed
  Compare -7 and -16
  Swap -7 and -16
  List after swap: [-85, -41, -62, -86, -26, -16, -7, -100, 41]
  Compare -7 and -100
  Swap -7 and -100
  List after swap: [-85, -41, -62, -86, -26, -16, -100, -7, 41]

Pass 3:
  Compare -85 and -41
  No swap needed
  Compare -41 and -62
  Swap -41 and -62
  List after swap: [-85, -62, -41, -86, -26, -16, -100, -7, 41]
  Compare -41 and -86
  Swap -41 and -86
  List after swap: [-85, -62, -86, -41, -26, -16, -100, -7, 41]
  Compare -41 and -26
  No swap needed
  Compare -26 and -16
  No swap needed
  Compare -16 and -100
  Swap -16 and -100
  List after swap: [-85, -62, -86, -41, -26, -100, -16, -7, 41]

Pass 4:
  Compare -85 and -62
  No swap needed
  Compare -62 and -86
  Swap -62 and -86
  List after swap: [-85, -86, -62, -41, -26, -100, -16, -7, 41]
  Compare -62 and -41
  No swap needed
  Compare -41 and -26
  No swap needed
  Compare -26 and -100
  Swap -26 and -100
  List after swap: [-85, -86, -62, -41, -100, -26, -16, -7, 41]

Pass 5:
  Compare -85 and -86
  Swap -85 and -86
  List after swap: [-86, -85, -62, -41, -100, -26, -16, -7, 41]
  Compare -85 and -62
  No swap needed
  Compare -62 and -41
  No swap needed
  Compare -41 and -100
  Swap -41 and -100
  List after swap: [-86, -85, -62, -100, -41, -26, -16, -7, 41]

Pass 6:
  Compare -86 and -85
  No swap needed
  Compare -85 and -62
  No swap needed
  Compare -62 and -100
  Swap -62 and -100
  List after swap: [-86, -85, -100, -62, -41, -26, -16, -7, 41]

Pass 7:
  Compare -86 and -85
  No swap needed
  Compare -85 and -100
  Swap -85 and -100
  List after swap: [-86, -100, -85, -62, -41, -26, -16, -7, 41]

Pass 8:
  Compare -86 and -100
  Swap -86 and -100
  List after swap: [-100, -86, -85, -62, -41, -26, -16, -7, 41]

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

Final sorted list: [-100, -86, -85, -62, -41, -26, -16, -7, 41]
</think>

<response>-100, -86, -85, -62, -41, -26, -16, -7, 41</response>


input: Execute bubble sort to sort -78, 89, -16, 71, -99, 98 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-78, 89, -16, 71, -99, 98]

Pass 1:
  Compare -78 and 89
  No swap needed
  Compare 89 and -16
  Swap 89 and -16
  List after swap: [-78, -16, 89, 71, -99, 98]
  Compare 89 and 71
  Swap 89 and 71
  List after swap: [-78, -16, 71, 89, -99, 98]
  Compare 89 and -99
  Swap 89 and -99
  List after swap: [-78, -16, 71, -99, 89, 98]
  Compare 89 and 98
  No swap needed

Pass 2:
  Compare -78 and -16
  No swap needed
  Compare -16 and 71
  No swap needed
  Compare 71 and -99
  Swap 71 and -99
  List after swap: [-78, -16, -99, 71, 89, 98]
  Compare 71 and 89
  No swap needed

Pass 3:
  Compare -78 and -16
  No swap needed
  Compare -16 and -99
  Swap -16 and -99
  List after swap: [-78, -99, -16, 71, 89, 98]
  Compare -16 and 71
  No swap needed

Pass 4:
  Compare -78 and -99
  Swap -78 and -99
  List after swap: [-99, -78, -16, 71, 89, 98]
  Compare -78 and -16
  No swap needed

Pass 5:
  Compare -99 and -78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -78, -16, 71, 89, 98]
</think>

<response>-99, -78, -16, 71, 89, 98</response>


input: Using the bubble sort method, sort 89, 67, 19, -20, -97, -8, -98 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [89, 67, 19, -20, -97, -8, -98]

Pass 1:
  Compare 89 and 67
  Swap 89 and 67
  List after swap: [67, 89, 19, -20, -97, -8, -98]
  Compare 89 and 19
  Swap 89 and 19
  List after swap: [67, 19, 89, -20, -97, -8, -98]
  Compare 89 and -20
  Swap 89 and -20
  List after swap: [67, 19, -20, 89, -97, -8, -98]
  Compare 89 and -97
  Swap 89 and -97
  List after swap: [67, 19, -20, -97, 89, -8, -98]
  Compare 89 and -8
  Swap 89 and -8
  List after swap: [67, 19, -20, -97, -8, 89, -98]
  Compare 89 and -98
  Swap 89 and -98
  List after swap: [67, 19, -20, -97, -8, -98, 89]

Pass 2:
  Compare 67 and 19
  Swap 67 and 19
  List after swap: [19, 67, -20, -97, -8, -98, 89]
  Compare 67 and -20
  Swap 67 and -20
  List after swap: [19, -20, 67, -97, -8, -98, 89]
  Compare 67 and -97
  Swap 67 and -97
  List after swap: [19, -20, -97, 67, -8, -98, 89]
  Compare 67 and -8
  Swap 67 and -8
  List after swap: [19, -20, -97, -8, 67, -98, 89]
  Compare 67 and -98
  Swap 67 and -98
  List after swap: [19, -20, -97, -8, -98, 67, 89]

Pass 3:
  Compare 19 and -20
  Swap 19 and -20
  List after swap: [-20, 19, -97, -8, -98, 67, 89]
  Compare 19 and -97
  Swap 19 and -97
  List after swap: [-20, -97, 19, -8, -98, 67, 89]
  Compare 19 and -8
  Swap 19 and -8
  List after swap: [-20, -97, -8, 19, -98, 67, 89]
  Compare 19 and -98
  Swap 19 and -98
  List after swap: [-20, -97, -8, -98, 19, 67, 89]

Pass 4:
  Compare -20 and -97
  Swap -20 and -97
  List after swap: [-97, -20, -8, -98, 19, 67, 89]
  Compare -20 and -8
  No swap needed
  Compare -8 and -98
  Swap -8 and -98
  List after swap: [-97, -20, -98, -8, 19, 67, 89]

Pass 5:
  Compare -97 and -20
  No swap needed
  Compare -20 and -98
  Swap -20 and -98
  List after swap: [-97, -98, -20, -8, 19, 67, 89]

Pass 6:
  Compare -97 and -98
  Swap -97 and -98
  List after swap: [-98, -97, -20, -8, 19, 67, 89]

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

Final sorted list: [-98, -97, -20, -8, 19, 67, 89]
</think>

<response>-98, -97, -20, -8, 19, 67, 89</response>


input: Using the bubble sort method, sort 85, -28, -82, 32, -13, -58, 12 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [85, -28, -82, 32, -13, -58, 12]

Pass 1:
  Compare 85 and -28
  Swap 85 and -28
  List after swap: [-28, 85, -82, 32, -13, -58, 12]
  Compare 85 and -82
  Swap 85 and -82
  List after swap: [-28, -82, 85, 32, -13, -58, 12]
  Compare 85 and 32
  Swap 85 and 32
  List after swap: [-28, -82, 32, 85, -13, -58, 12]
  Compare 85 and -13
  Swap 85 and -13
  List after swap: [-28, -82, 32, -13, 85, -58, 12]
  Compare 85 and -58
  Swap 85 and -58
  List after swap: [-28, -82, 32, -13, -58, 85, 12]
  Compare 85 and 12
  Swap 85 and 12
  List after swap: [-28, -82, 32, -13, -58, 12, 85]

Pass 2:
  Compare -28 and -82
  Swap -28 and -82
  List after swap: [-82, -28, 32, -13, -58, 12, 85]
  Compare -28 and 32
  No swap needed
  Compare 32 and -13
  Swap 32 and -13
  List after swap: [-82, -28, -13, 32, -58, 12, 85]
  Compare 32 and -58
  Swap 32 and -58
  List after swap: [-82, -28, -13, -58, 32, 12, 85]
  Compare 32 and 12
  Swap 32 and 12
  List after swap: [-82, -28, -13, -58, 12, 32, 85]

Pass 3:
  Compare -82 and -28
  No swap needed
  Compare -28 and -13
  No swap needed
  Compare -13 and -58
  Swap -13 and -58
  List after swap: [-82, -28, -58, -13, 12, 32, 85]
  Compare -13 and 12
  No swap needed

Pass 4:
  Compare -82 and -28
  No swap needed
  Compare -28 and -58
  Swap -28 and -58
  List after swap: [-82, -58, -28, -13, 12, 32, 85]
  Compare -28 and -13
  No swap needed

Pass 5:
  Compare -82 and -58
  No swap needed
  Compare -58 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -58, -28, -13, 12, 32, 85]
</think>

<response>-82, -58, -28, -13, 12, 32, 85</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -14, -98, -19, 59, -84, 23, -47, -42, 93, 9.

output:
<think>
Initial list: [-14, -98, -19, 59, -84, 23, -47, -42, 93, 9]

Pass 1:
  Compare -14 and -98
  Swap -14 and -98
  List after swap: [-98, -14, -19, 59, -84, 23, -47, -42, 93, 9]
  Compare -14 and -19
  Swap -14 and -19
  List after swap: [-98, -19, -14, 59, -84, 23, -47, -42, 93, 9]
  Compare -14 and 59
  No swap needed
  Compare 59 and -84
  Swap 59 and -84
  List after swap: [-98, -19, -14, -84, 59, 23, -47, -42, 93, 9]
  Compare 59 and 23
  Swap 59 and 23
  List after swap: [-98, -19, -14, -84, 23, 59, -47, -42, 93, 9]
  Compare 59 and -47
  Swap 59 and -47
  List after swap: [-98, -19, -14, -84, 23, -47, 59, -42, 93, 9]
  Compare 59 and -42
  Swap 59 and -42
  List after swap: [-98, -19, -14, -84, 23, -47, -42, 59, 93, 9]
  Compare 59 and 93
  No swap needed
  Compare 93 and 9
  Swap 93 and 9
  List after swap: [-98, -19, -14, -84, 23, -47, -42, 59, 9, 93]

Pass 2:
  Compare -98 and -19
  No swap needed
  Compare -19 and -14
  No swap needed
  Compare -14 and -84
  Swap -14 and -84
  List after swap: [-98, -19, -84, -14, 23, -47, -42, 59, 9, 93]
  Compare -14 and 23
  No swap needed
  Compare 23 and -47
  Swap 23 and -47
  List after swap: [-98, -19, -84, -14, -47, 23, -42, 59, 9, 93]
  Compare 23 and -42
  Swap 23 and -42
  List after swap: [-98, -19, -84, -14, -47, -42, 23, 59, 9, 93]
  Compare 23 and 59
  No swap needed
  Compare 59 and 9
  Swap 59 and 9
  List after swap: [-98, -19, -84, -14, -47, -42, 23, 9, 59, 93]

Pass 3:
  Compare -98 and -19
  No swap needed
  Compare -19 and -84
  Swap -19 and -84
  List after swap: [-98, -84, -19, -14, -47, -42, 23, 9, 59, 93]
  Compare -19 and -14
  No swap needed
  Compare -14 and -47
  Swap -14 and -47
  List after swap: [-98, -84, -19, -47, -14, -42, 23, 9, 59, 93]
  Compare -14 and -42
  Swap -14 and -42
  List after swap: [-98, -84, -19, -47, -42, -14, 23, 9, 59, 93]
  Compare -14 and 23
  No swap needed
  Compare 23 and 9
  Swap 23 and 9
  List after swap: [-98, -84, -19, -47, -42, -14, 9, 23, 59, 93]

Pass 4:
  Compare -98 and -84
  No swap needed
  Compare -84 and -19
  No swap needed
  Compare -19 and -47
  Swap -19 and -47
  List after swap: [-98, -84, -47, -19, -42, -14, 9, 23, 59, 93]
  Compare -19 and -42
  Swap -19 and -42
  List after swap: [-98, -84, -47, -42, -19, -14, 9, 23, 59, 93]
  Compare -19 and -14
  No swap needed
  Compare -14 and 9
  No swap needed

Pass 5:
  Compare -98 and -84
  No swap needed
  Compare -84 and -47
  No swap needed
  Compare -47 and -42
  No swap needed
  Compare -42 and -19
  No swap needed
  Compare -19 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -84, -47, -42, -19, -14, 9, 23, 59, 93]
</think>

<response>-98, -84, -47, -42, -19, -14, 9, 23, 59, 93</response>


input: Perform a bubble sort on the integers -79, -99, 53, 33, -57, 86, 52, 60, 55, -54, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-79, -99, 53, 33, -57, 86, 52, 60, 55, -54]

Pass 1:
  Compare -79 and -99
  Swap -79 and -99
  List after swap: [-99, -79, 53, 33, -57, 86, 52, 60, 55, -54]
  Compare -79 and 53
  No swap needed
  Compare 53 and 33
  Swap 53 and 33
  List after swap: [-99, -79, 33, 53, -57, 86, 52, 60, 55, -54]
  Compare 53 and -57
  Swap 53 and -57
  List after swap: [-99, -79, 33, -57, 53, 86, 52, 60, 55, -54]
  Compare 53 and 86
  No swap needed
  Compare 86 and 52
  Swap 86 and 52
  List after swap: [-99, -79, 33, -57, 53, 52, 86, 60, 55, -54]
  Compare 86 and 60
  Swap 86 and 60
  List after swap: [-99, -79, 33, -57, 53, 52, 60, 86, 55, -54]
  Compare 86 and 55
  Swap 86 and 55
  List after swap: [-99, -79, 33, -57, 53, 52, 60, 55, 86, -54]
  Compare 86 and -54
  Swap 86 and -54
  List after swap: [-99, -79, 33, -57, 53, 52, 60, 55, -54, 86]

Pass 2:
  Compare -99 and -79
  No swap needed
  Compare -79 and 33
  No swap needed
  Compare 33 and -57
  Swap 33 and -57
  List after swap: [-99, -79, -57, 33, 53, 52, 60, 55, -54, 86]
  Compare 33 and 53
  No swap needed
  Compare 53 and 52
  Swap 53 and 52
  List after swap: [-99, -79, -57, 33, 52, 53, 60, 55, -54, 86]
  Compare 53 and 60
  No swap needed
  Compare 60 and 55
  Swap 60 and 55
  List after swap: [-99, -79, -57, 33, 52, 53, 55, 60, -54, 86]
  Compare 60 and -54
  Swap 60 and -54
  List after swap: [-99, -79, -57, 33, 52, 53, 55, -54, 60, 86]

Pass 3:
  Compare -99 and -79
  No swap needed
  Compare -79 and -57
  No swap needed
  Compare -57 and 33
  No swap needed
  Compare 33 and 52
  No swap needed
  Compare 52 and 53
  No swap needed
  Compare 53 and 55
  No swap needed
  Compare 55 and -54
  Swap 55 and -54
  List after swap: [-99, -79, -57, 33, 52, 53, -54, 55, 60, 86]

Pass 4:
  Compare -99 and -79
  No swap needed
  Compare -79 and -57
  No swap needed
  Compare -57 and 33
  No swap needed
  Compare 33 and 52
  No swap needed
  Compare 52 and 53
  No swap needed
  Compare 53 and -54
  Swap 53 and -54
  List after swap: [-99, -79, -57, 33, 52, -54, 53, 55, 60, 86]

Pass 5:
  Compare -99 and -79
  No swap needed
  Compare -79 and -57
  No swap needed
  Compare -57 and 33
  No swap needed
  Compare 33 and 52
  No swap needed
  Compare 52 and -54
  Swap 52 and -54
  List after swap: [-99, -79, -57, 33, -54, 52, 53, 55, 60, 86]

Pass 6:
  Compare -99 and -79
  No swap needed
  Compare -79 and -57
  No swap needed
  Compare -57 and 33
  No swap needed
  Compare 33 and -54
  Swap 33 and -54
  List after swap: [-99, -79, -57, -54, 33, 52, 53, 55, 60, 86]

Pass 7:
  Compare -99 and -79
  No swap needed
  Compare -79 and -57
  No swap needed
  Compare -57 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -79, -57, -54, 33, 52, 53, 55, 60, 86]
</think>

<response>-99, -79, -57, -54, 33, 52, 53, 55, 60, 86</response>


input: Carry out the bubble sort algorithm on -33, -80, -82 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-33, -80, -82]

Pass 1:
  Compare -33 and -80
  Swap -33 and -80
  List after swap: [-80, -33, -82]
  Compare -33 and -82
  Swap -33 and -82
  List after swap: [-80, -82, -33]

Pass 2:
  Compare -80 and -82
  Swap -80 and -82
  List after swap: [-82, -80, -33]

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

Final sorted list: [-82, -80, -33]
</think>

<response>-82, -80, -33</response>


input: Arrange the numbers -68, 41 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-68, 41]

Pass 1:
  Compare -68 and 41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, 41]
</think>

<response>-68, 41</response>


input: Demonstrate how bubble sort orders the integers -30, 93, 19, 27, 77, 97, 15, -73, -13, 90 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-30, 93, 19, 27, 77, 97, 15, -73, -13, 90]

Pass 1:
  Compare -30 and 93
  No swap needed
  Compare 93 and 19
  Swap 93 and 19
  List after swap: [-30, 19, 93, 27, 77, 97, 15, -73, -13, 90]
  Compare 93 and 27
  Swap 93 and 27
  List after swap: [-30, 19, 27, 93, 77, 97, 15, -73, -13, 90]
  Compare 93 and 77
  Swap 93 and 77
  List after swap: [-30, 19, 27, 77, 93, 97, 15, -73, -13, 90]
  Compare 93 and 97
  No swap needed
  Compare 97 and 15
  Swap 97 and 15
  List after swap: [-30, 19, 27, 77, 93, 15, 97, -73, -13, 90]
  Compare 97 and -73
  Swap 97 and -73
  List after swap: [-30, 19, 27, 77, 93, 15, -73, 97, -13, 90]
  Compare 97 and -13
  Swap 97 and -13
  List after swap: [-30, 19, 27, 77, 93, 15, -73, -13, 97, 90]
  Compare 97 and 90
  Swap 97 and 90
  List after swap: [-30, 19, 27, 77, 93, 15, -73, -13, 90, 97]

Pass 2:
  Compare -30 and 19
  No swap needed
  Compare 19 and 27
  No swap needed
  Compare 27 and 77
  No swap needed
  Compare 77 and 93
  No swap needed
  Compare 93 and 15
  Swap 93 and 15
  List after swap: [-30, 19, 27, 77, 15, 93, -73, -13, 90, 97]
  Compare 93 and -73
  Swap 93 and -73
  List after swap: [-30, 19, 27, 77, 15, -73, 93, -13, 90, 97]
  Compare 93 and -13
  Swap 93 and -13
  List after swap: [-30, 19, 27, 77, 15, -73, -13, 93, 90, 97]
  Compare 93 and 90
  Swap 93 and 90
  List after swap: [-30, 19, 27, 77, 15, -73, -13, 90, 93, 97]

Pass 3:
  Compare -30 and 19
  No swap needed
  Compare 19 and 27
  No swap needed
  Compare 27 and 77
  No swap needed
  Compare 77 and 15
  Swap 77 and 15
  List after swap: [-30, 19, 27, 15, 77, -73, -13, 90, 93, 97]
  Compare 77 and -73
  Swap 77 and -73
  List after swap: [-30, 19, 27, 15, -73, 77, -13, 90, 93, 97]
  Compare 77 and -13
  Swap 77 and -13
  List after swap: [-30, 19, 27, 15, -73, -13, 77, 90, 93, 97]
  Compare 77 and 90
  No swap needed

Pass 4:
  Compare -30 and 19
  No swap needed
  Compare 19 and 27
  No swap needed
  Compare 27 and 15
  Swap 27 and 15
  List after swap: [-30, 19, 15, 27, -73, -13, 77, 90, 93, 97]
  Compare 27 and -73
  Swap 27 and -73
  List after swap: [-30, 19, 15, -73, 27, -13, 77, 90, 93, 97]
  Compare 27 and -13
  Swap 27 and -13
  List after swap: [-30, 19, 15, -73, -13, 27, 77, 90, 93, 97]
  Compare 27 and 77
  No swap needed

Pass 5:
  Compare -30 and 19
  No swap needed
  Compare 19 and 15
  Swap 19 and 15
  List after swap: [-30, 15, 19, -73, -13, 27, 77, 90, 93, 97]
  Compare 19 and -73
  Swap 19 and -73
  List after swap: [-30, 15, -73, 19, -13, 27, 77, 90, 93, 97]
  Compare 19 and -13
  Swap 19 and -13
  List after swap: [-30, 15, -73, -13, 19, 27, 77, 90, 93, 97]
  Compare 19 and 27
  No swap needed

Pass 6:
  Compare -30 and 15
  No swap needed
  Compare 15 and -73
  Swap 15 and -73
  List after swap: [-30, -73, 15, -13, 19, 27, 77, 90, 93, 97]
  Compare 15 and -13
  Swap 15 and -13
  List after swap: [-30, -73, -13, 15, 19, 27, 77, 90, 93, 97]
  Compare 15 and 19
  No swap needed

Pass 7:
  Compare -30 and -73
  Swap -30 and -73
  List after swap: [-73, -30, -13, 15, 19, 27, 77, 90, 93, 97]
  Compare -30 and -13
  No swap needed
  Compare -13 and 15
  No swap needed

Pass 8:
  Compare -73 and -30
  No swap needed
  Compare -30 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -30, -13, 15, 19, 27, 77, 90, 93, 97]
</think>

<response>-73, -30, -13, 15, 19, 27, 77, 90, 93, 97</response>


input: Implement bubble sort on -99, 94, -84 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-99, 94, -84]

Pass 1:
  Compare -99 and 94
  No swap needed
  Compare 94 and -84
  Swap 94 and -84
  List after swap: [-99, -84, 94]

Pass 2:
  Compare -99 and -84
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -84, 94]
</think>

<response>-99, -84, 94</response>


input: Sort the list -8, -79, -33, 37, -40, 84, -46, 2, 38 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-8, -79, -33, 37, -40, 84, -46, 2, 38]

Pass 1:
  Compare -8 and -79
  Swap -8 and -79
  List after swap: [-79, -8, -33, 37, -40, 84, -46, 2, 38]
  Compare -8 and -33
  Swap -8 and -33
  List after swap: [-79, -33, -8, 37, -40, 84, -46, 2, 38]
  Compare -8 and 37
  No swap needed
  Compare 37 and -40
  Swap 37 and -40
  List after swap: [-79, -33, -8, -40, 37, 84, -46, 2, 38]
  Compare 37 and 84
  No swap needed
  Compare 84 and -46
  Swap 84 and -46
  List after swap: [-79, -33, -8, -40, 37, -46, 84, 2, 38]
  Compare 84 and 2
  Swap 84 and 2
  List after swap: [-79, -33, -8, -40, 37, -46, 2, 84, 38]
  Compare 84 and 38
  Swap 84 and 38
  List after swap: [-79, -33, -8, -40, 37, -46, 2, 38, 84]

Pass 2:
  Compare -79 and -33
  No swap needed
  Compare -33 and -8
  No swap needed
  Compare -8 and -40
  Swap -8 and -40
  List after swap: [-79, -33, -40, -8, 37, -46, 2, 38, 84]
  Compare -8 and 37
  No swap needed
  Compare 37 and -46
  Swap 37 and -46
  List after swap: [-79, -33, -40, -8, -46, 37, 2, 38, 84]
  Compare 37 and 2
  Swap 37 and 2
  List after swap: [-79, -33, -40, -8, -46, 2, 37, 38, 84]
  Compare 37 and 38
  No swap needed

Pass 3:
  Compare -79 and -33
  No swap needed
  Compare -33 and -40
  Swap -33 and -40
  List after swap: [-79, -40, -33, -8, -46, 2, 37, 38, 84]
  Compare -33 and -8
  No swap needed
  Compare -8 and -46
  Swap -8 and -46
  List after swap: [-79, -40, -33, -46, -8, 2, 37, 38, 84]
  Compare -8 and 2
  No swap needed
  Compare 2 and 37
  No swap needed

Pass 4:
  Compare -79 and -40
  No swap needed
  Compare -40 and -33
  No swap needed
  Compare -33 and -46
  Swap -33 and -46
  List after swap: [-79, -40, -46, -33, -8, 2, 37, 38, 84]
  Compare -33 and -8
  No swap needed
  Compare -8 and 2
  No swap needed

Pass 5:
  Compare -79 and -40
  No swap needed
  Compare -40 and -46
  Swap -40 and -46
  List after swap: [-79, -46, -40, -33, -8, 2, 37, 38, 84]
  Compare -40 and -33
  No swap needed
  Compare -33 and -8
  No swap needed

Pass 6:
  Compare -79 and -46
  No swap needed
  Compare -46 and -40
  No swap needed
  Compare -40 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -46, -40, -33, -8, 2, 37, 38, 84]
</think>

<response>-79, -46, -40, -33, -8, 2, 37, 38, 84</response>


input: Perform a bubble sort on the integers -58, 75, -3, 91, 76, 5, 54, -12, -94, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-58, 75, -3, 91, 76, 5, 54, -12, -94]

Pass 1:
  Compare -58 and 75
  No swap needed
  Compare 75 and -3
  Swap 75 and -3
  List after swap: [-58, -3, 75, 91, 76, 5, 54, -12, -94]
  Compare 75 and 91
  No swap needed
  Compare 91 and 76
  Swap 91 and 76
  List after swap: [-58, -3, 75, 76, 91, 5, 54, -12, -94]
  Compare 91 and 5
  Swap 91 and 5
  List after swap: [-58, -3, 75, 76, 5, 91, 54, -12, -94]
  Compare 91 and 54
  Swap 91 and 54
  List after swap: [-58, -3, 75, 76, 5, 54, 91, -12, -94]
  Compare 91 and -12
  Swap 91 and -12
  List after swap: [-58, -3, 75, 76, 5, 54, -12, 91, -94]
  Compare 91 and -94
  Swap 91 and -94
  List after swap: [-58, -3, 75, 76, 5, 54, -12, -94, 91]

Pass 2:
  Compare -58 and -3
  No swap needed
  Compare -3 and 75
  No swap needed
  Compare 75 and 76
  No swap needed
  Compare 76 and 5
  Swap 76 and 5
  List after swap: [-58, -3, 75, 5, 76, 54, -12, -94, 91]
  Compare 76 and 54
  Swap 76 and 54
  List after swap: [-58, -3, 75, 5, 54, 76, -12, -94, 91]
  Compare 76 and -12
  Swap 76 and -12
  List after swap: [-58, -3, 75, 5, 54, -12, 76, -94, 91]
  Compare 76 and -94
  Swap 76 and -94
  List after swap: [-58, -3, 75, 5, 54, -12, -94, 76, 91]

Pass 3:
  Compare -58 and -3
  No swap needed
  Compare -3 and 75
  No swap needed
  Compare 75 and 5
  Swap 75 and 5
  List after swap: [-58, -3, 5, 75, 54, -12, -94, 76, 91]
  Compare 75 and 54
  Swap 75 and 54
  List after swap: [-58, -3, 5, 54, 75, -12, -94, 76, 91]
  Compare 75 and -12
  Swap 75 and -12
  List after swap: [-58, -3, 5, 54, -12, 75, -94, 76, 91]
  Compare 75 and -94
  Swap 75 and -94
  List after swap: [-58, -3, 5, 54, -12, -94, 75, 76, 91]

Pass 4:
  Compare -58 and -3
  No swap needed
  Compare -3 and 5
  No swap needed
  Compare 5 and 54
  No swap needed
  Compare 54 and -12
  Swap 54 and -12
  List after swap: [-58, -3, 5, -12, 54, -94, 75, 76, 91]
  Compare 54 and -94
  Swap 54 and -94
  List after swap: [-58, -3, 5, -12, -94, 54, 75, 76, 91]

Pass 5:
  Compare -58 and -3
  No swap needed
  Compare -3 and 5
  No swap needed
  Compare 5 and -12
  Swap 5 and -12
  List after swap: [-58, -3, -12, 5, -94, 54, 75, 76, 91]
  Compare 5 and -94
  Swap 5 and -94
  List after swap: [-58, -3, -12, -94, 5, 54, 75, 76, 91]

Pass 6:
  Compare -58 and -3
  No swap needed
  Compare -3 and -12
  Swap -3 and -12
  List after swap: [-58, -12, -3, -94, 5, 54, 75, 76, 91]
  Compare -3 and -94
  Swap -3 and -94
  List after swap: [-58, -12, -94, -3, 5, 54, 75, 76, 91]

Pass 7:
  Compare -58 and -12
  No swap needed
  Compare -12 and -94
  Swap -12 and -94
  List after swap: [-58, -94, -12, -3, 5, 54, 75, 76, 91]

Pass 8:
  Compare -58 and -94
  Swap -58 and -94
  List after swap: [-94, -58, -12, -3, 5, 54, 75, 76, 91]

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

Final sorted list: [-94, -58, -12, -3, 5, 54, 75, 76, 91]
</think>

<response>-94, -58, -12, -3, 5, 54, 75, 76, 91</response>


input: Demonstrate how bubble sort orders the integers -87, 73, -52, 5, 14 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-87, 73, -52, 5, 14]

Pass 1:
  Compare -87 and 73
  No swap needed
  Compare 73 and -52
  Swap 73 and -52
  List after swap: [-87, -52, 73, 5, 14]
  Compare 73 and 5
  Swap 73 and 5
  List after swap: [-87, -52, 5, 73, 14]
  Compare 73 and 14
  Swap 73 and 14
  List after swap: [-87, -52, 5, 14, 73]

Pass 2:
  Compare -87 and -52
  No swap needed
  Compare -52 and 5
  No swap needed
  Compare 5 and 14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -52, 5, 14, 73]
</think>

<response>-87, -52, 5, 14, 73</response>


input: Arrange the numbers 55, 90, -63, 98, -74, 32 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [55, 90, -63, 98, -74, 32]

Pass 1:
  Compare 55 and 90
  No swap needed
  Compare 90 and -63
  Swap 90 and -63
  List after swap: [55, -63, 90, 98, -74, 32]
  Compare 90 and 98
  No swap needed
  Compare 98 and -74
  Swap 98 and -74
  List after swap: [55, -63, 90, -74, 98, 32]
  Compare 98 and 32
  Swap 98 and 32
  List after swap: [55, -63, 90, -74, 32, 98]

Pass 2:
  Compare 55 and -63
  Swap 55 and -63
  List after swap: [-63, 55, 90, -74, 32, 98]
  Compare 55 and 90
  No swap needed
  Compare 90 and -74
  Swap 90 and -74
  List after swap: [-63, 55, -74, 90, 32, 98]
  Compare 90 and 32
  Swap 90 and 32
  List after swap: [-63, 55, -74, 32, 90, 98]

Pass 3:
  Compare -63 and 55
  No swap needed
  Compare 55 and -74
  Swap 55 and -74
  List after swap: [-63, -74, 55, 32, 90, 98]
  Compare 55 and 32
  Swap 55 and 32
  List after swap: [-63, -74, 32, 55, 90, 98]

Pass 4:
  Compare -63 and -74
  Swap -63 and -74
  List after swap: [-74, -63, 32, 55, 90, 98]
  Compare -63 and 32
  No swap needed

Pass 5:
  Compare -74 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -63, 32, 55, 90, 98]
</think>

<response>-74, -63, 32, 55, 90, 98</response>


input: Demonstrate how bubble sort orders the integers -91, 1, 2 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-91, 1, 2]

Pass 1:
  Compare -91 and 1
  No swap needed
  Compare 1 and 2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, 1, 2]
</think>

<response>-91, 1, 2</response>


input: Demonstrate how bubble sort orders the integers 64, 73, 17, 56, -43, 82, -96, 91 in ascending sequence, showing all steps.

output:
<think>
Initial list: [64, 73, 17, 56, -43, 82, -96, 91]

Pass 1:
  Compare 64 and 73
  No swap needed
  Compare 73 and 17
  Swap 73 and 17
  List after swap: [64, 17, 73, 56, -43, 82, -96, 91]
  Compare 73 and 56
  Swap 73 and 56
  List after swap: [64, 17, 56, 73, -43, 82, -96, 91]
  Compare 73 and -43
  Swap 73 and -43
  List after swap: [64, 17, 56, -43, 73, 82, -96, 91]
  Compare 73 and 82
  No swap needed
  Compare 82 and -96
  Swap 82 and -96
  List after swap: [64, 17, 56, -43, 73, -96, 82, 91]
  Compare 82 and 91
  No swap needed

Pass 2:
  Compare 64 and 17
  Swap 64 and 17
  List after swap: [17, 64, 56, -43, 73, -96, 82, 91]
  Compare 64 and 56
  Swap 64 and 56
  List after swap: [17, 56, 64, -43, 73, -96, 82, 91]
  Compare 64 and -43
  Swap 64 and -43
  List after swap: [17, 56, -43, 64, 73, -96, 82, 91]
  Compare 64 and 73
  No swap needed
  Compare 73 and -96
  Swap 73 and -96
  List after swap: [17, 56, -43, 64, -96, 73, 82, 91]
  Compare 73 and 82
  No swap needed

Pass 3:
  Compare 17 and 56
  No swap needed
  Compare 56 and -43
  Swap 56 and -43
  List after swap: [17, -43, 56, 64, -96, 73, 82, 91]
  Compare 56 and 64
  No swap needed
  Compare 64 and -96
  Swap 64 and -96
  List after swap: [17, -43, 56, -96, 64, 73, 82, 91]
  Compare 64 and 73
  No swap needed

Pass 4:
  Compare 17 and -43
  Swap 17 and -43
  List after swap: [-43, 17, 56, -96, 64, 73, 82, 91]
  Compare 17 and 56
  No swap needed
  Compare 56 and -96
  Swap 56 and -96
  List after swap: [-43, 17, -96, 56, 64, 73, 82, 91]
  Compare 56 and 64
  No swap needed

Pass 5:
  Compare -43 and 17
  No swap needed
  Compare 17 and -96
  Swap 17 and -96
  List after swap: [-43, -96, 17, 56, 64, 73, 82, 91]
  Compare 17 and 56
  No swap needed

Pass 6:
  Compare -43 and -96
  Swap -43 and -96
  List after swap: [-96, -43, 17, 56, 64, 73, 82, 91]
  Compare -43 and 17
  No swap needed

Pass 7:
  Compare -96 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -43, 17, 56, 64, 73, 82, 91]
</think>

<response>-96, -43, 17, 56, 64, 73, 82, 91</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 90, -27, 11, -80, -32, -34, 19, -52, -81.

output:
<think>
Initial list: [90, -27, 11, -80, -32, -34, 19, -52, -81]

Pass 1:
  Compare 90 and -27
  Swap 90 and -27
  List after swap: [-27, 90, 11, -80, -32, -34, 19, -52, -81]
  Compare 90 and 11
  Swap 90 and 11
  List after swap: [-27, 11, 90, -80, -32, -34, 19, -52, -81]
  Compare 90 and -80
  Swap 90 and -80
  List after swap: [-27, 11, -80, 90, -32, -34, 19, -52, -81]
  Compare 90 and -32
  Swap 90 and -32
  List after swap: [-27, 11, -80, -32, 90, -34, 19, -52, -81]
  Compare 90 and -34
  Swap 90 and -34
  List after swap: [-27, 11, -80, -32, -34, 90, 19, -52, -81]
  Compare 90 and 19
  Swap 90 and 19
  List after swap: [-27, 11, -80, -32, -34, 19, 90, -52, -81]
  Compare 90 and -52
  Swap 90 and -52
  List after swap: [-27, 11, -80, -32, -34, 19, -52, 90, -81]
  Compare 90 and -81
  Swap 90 and -81
  List after swap: [-27, 11, -80, -32, -34, 19, -52, -81, 90]

Pass 2:
  Compare -27 and 11
  No swap needed
  Compare 11 and -80
  Swap 11 and -80
  List after swap: [-27, -80, 11, -32, -34, 19, -52, -81, 90]
  Compare 11 and -32
  Swap 11 and -32
  List after swap: [-27, -80, -32, 11, -34, 19, -52, -81, 90]
  Compare 11 and -34
  Swap 11 and -34
  List after swap: [-27, -80, -32, -34, 11, 19, -52, -81, 90]
  Compare 11 and 19
  No swap needed
  Compare 19 and -52
  Swap 19 and -52
  List after swap: [-27, -80, -32, -34, 11, -52, 19, -81, 90]
  Compare 19 and -81
  Swap 19 and -81
  List after swap: [-27, -80, -32, -34, 11, -52, -81, 19, 90]

Pass 3:
  Compare -27 and -80
  Swap -27 and -80
  List after swap: [-80, -27, -32, -34, 11, -52, -81, 19, 90]
  Compare -27 and -32
  Swap -27 and -32
  List after swap: [-80, -32, -27, -34, 11, -52, -81, 19, 90]
  Compare -27 and -34
  Swap -27 and -34
  List after swap: [-80, -32, -34, -27, 11, -52, -81, 19, 90]
  Compare -27 and 11
  No swap needed
  Compare 11 and -52
  Swap 11 and -52
  List after swap: [-80, -32, -34, -27, -52, 11, -81, 19, 90]
  Compare 11 and -81
  Swap 11 and -81
  List after swap: [-80, -32, -34, -27, -52, -81, 11, 19, 90]

Pass 4:
  Compare -80 and -32
  No swap needed
  Compare -32 and -34
  Swap -32 and -34
  List after swap: [-80, -34, -32, -27, -52, -81, 11, 19, 90]
  Compare -32 and -27
  No swap needed
  Compare -27 and -52
  Swap -27 and -52
  List after swap: [-80, -34, -32, -52, -27, -81, 11, 19, 90]
  Compare -27 and -81
  Swap -27 and -81
  List after swap: [-80, -34, -32, -52, -81, -27, 11, 19, 90]

Pass 5:
  Compare -80 and -34
  No swap needed
  Compare -34 and -32
  No swap needed
  Compare -32 and -52
  Swap -32 and -52
  List after swap: [-80, -34, -52, -32, -81, -27, 11, 19, 90]
  Compare -32 and -81
  Swap -32 and -81
  List after swap: [-80, -34, -52, -81, -32, -27, 11, 19, 90]

Pass 6:
  Compare -80 and -34
  No swap needed
  Compare -34 and -52
  Swap -34 and -52
  List after swap: [-80, -52, -34, -81, -32, -27, 11, 19, 90]
  Compare -34 and -81
  Swap -34 and -81
  List after swap: [-80, -52, -81, -34, -32, -27, 11, 19, 90]

Pass 7:
  Compare -80 and -52
  No swap needed
  Compare -52 and -81
  Swap -52 and -81
  List after swap: [-80, -81, -52, -34, -32, -27, 11, 19, 90]

Pass 8:
  Compare -80 and -81
  Swap -80 and -81
  List after swap: [-81, -80, -52, -34, -32, -27, 11, 19, 90]

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

Final sorted list: [-81, -80, -52, -34, -32, -27, 11, 19, 90]
</think>

<response>-81, -80, -52, -34, -32, -27, 11, 19, 90</response>


input: Perform a bubble sort on the integers 64, -36, 9, 48, 1, -29, -64, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [64, -36, 9, 48, 1, -29, -64]

Pass 1:
  Compare 64 and -36
  Swap 64 and -36
  List after swap: [-36, 64, 9, 48, 1, -29, -64]
  Compare 64 and 9
  Swap 64 and 9
  List after swap: [-36, 9, 64, 48, 1, -29, -64]
  Compare 64 and 48
  Swap 64 and 48
  List after swap: [-36, 9, 48, 64, 1, -29, -64]
  Compare 64 and 1
  Swap 64 and 1
  List after swap: [-36, 9, 48, 1, 64, -29, -64]
  Compare 64 and -29
  Swap 64 and -29
  List after swap: [-36, 9, 48, 1, -29, 64, -64]
  Compare 64 and -64
  Swap 64 and -64
  List after swap: [-36, 9, 48, 1, -29, -64, 64]

Pass 2:
  Compare -36 and 9
  No swap needed
  Compare 9 and 48
  No swap needed
  Compare 48 and 1
  Swap 48 and 1
  List after swap: [-36, 9, 1, 48, -29, -64, 64]
  Compare 48 and -29
  Swap 48 and -29
  List after swap: [-36, 9, 1, -29, 48, -64, 64]
  Compare 48 and -64
  Swap 48 and -64
  List after swap: [-36, 9, 1, -29, -64, 48, 64]

Pass 3:
  Compare -36 and 9
  No swap needed
  Compare 9 and 1
  Swap 9 and 1
  List after swap: [-36, 1, 9, -29, -64, 48, 64]
  Compare 9 and -29
  Swap 9 and -29
  List after swap: [-36, 1, -29, 9, -64, 48, 64]
  Compare 9 and -64
  Swap 9 and -64
  List after swap: [-36, 1, -29, -64, 9, 48, 64]

Pass 4:
  Compare -36 and 1
  No swap needed
  Compare 1 and -29
  Swap 1 and -29
  List after swap: [-36, -29, 1, -64, 9, 48, 64]
  Compare 1 and -64
  Swap 1 and -64
  List after swap: [-36, -29, -64, 1, 9, 48, 64]

Pass 5:
  Compare -36 and -29
  No swap needed
  Compare -29 and -64
  Swap -29 and -64
  List after swap: [-36, -64, -29, 1, 9, 48, 64]

Pass 6:
  Compare -36 and -64
  Swap -36 and -64
  List after swap: [-64, -36, -29, 1, 9, 48, 64]

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

Final sorted list: [-64, -36, -29, 1, 9, 48, 64]
</think>

<response>-64, -36, -29, 1, 9, 48, 64</response>


input: Sort the list 24, -15, -27, -91, -94, 22, -84, -52, -96, -86 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [24, -15, -27, -91, -94, 22, -84, -52, -96, -86]

Pass 1:
  Compare 24 and -15
  Swap 24 and -15
  List after swap: [-15, 24, -27, -91, -94, 22, -84, -52, -96, -86]
  Compare 24 and -27
  Swap 24 and -27
  List after swap: [-15, -27, 24, -91, -94, 22, -84, -52, -96, -86]
  Compare 24 and -91
  Swap 24 and -91
  List after swap: [-15, -27, -91, 24, -94, 22, -84, -52, -96, -86]
  Compare 24 and -94
  Swap 24 and -94
  List after swap: [-15, -27, -91, -94, 24, 22, -84, -52, -96, -86]
  Compare 24 and 22
  Swap 24 and 22
  List after swap: [-15, -27, -91, -94, 22, 24, -84, -52, -96, -86]
  Compare 24 and -84
  Swap 24 and -84
  List after swap: [-15, -27, -91, -94, 22, -84, 24, -52, -96, -86]
  Compare 24 and -52
  Swap 24 and -52
  List after swap: [-15, -27, -91, -94, 22, -84, -52, 24, -96, -86]
  Compare 24 and -96
  Swap 24 and -96
  List after swap: [-15, -27, -91, -94, 22, -84, -52, -96, 24, -86]
  Compare 24 and -86
  Swap 24 and -86
  List after swap: [-15, -27, -91, -94, 22, -84, -52, -96, -86, 24]

Pass 2:
  Compare -15 and -27
  Swap -15 and -27
  List after swap: [-27, -15, -91, -94, 22, -84, -52, -96, -86, 24]
  Compare -15 and -91
  Swap -15 and -91
  List after swap: [-27, -91, -15, -94, 22, -84, -52, -96, -86, 24]
  Compare -15 and -94
  Swap -15 and -94
  List after swap: [-27, -91, -94, -15, 22, -84, -52, -96, -86, 24]
  Compare -15 and 22
  No swap needed
  Compare 22 and -84
  Swap 22 and -84
  List after swap: [-27, -91, -94, -15, -84, 22, -52, -96, -86, 24]
  Compare 22 and -52
  Swap 22 and -52
  List after swap: [-27, -91, -94, -15, -84, -52, 22, -96, -86, 24]
  Compare 22 and -96
  Swap 22 and -96
  List after swap: [-27, -91, -94, -15, -84, -52, -96, 22, -86, 24]
  Compare 22 and -86
  Swap 22 and -86
  List after swap: [-27, -91, -94, -15, -84, -52, -96, -86, 22, 24]

Pass 3:
  Compare -27 and -91
  Swap -27 and -91
  List after swap: [-91, -27, -94, -15, -84, -52, -96, -86, 22, 24]
  Compare -27 and -94
  Swap -27 and -94
  List after swap: [-91, -94, -27, -15, -84, -52, -96, -86, 22, 24]
  Compare -27 and -15
  No swap needed
  Compare -15 and -84
  Swap -15 and -84
  List after swap: [-91, -94, -27, -84, -15, -52, -96, -86, 22, 24]
  Compare -15 and -52
  Swap -15 and -52
  List after swap: [-91, -94, -27, -84, -52, -15, -96, -86, 22, 24]
  Compare -15 and -96
  Swap -15 and -96
  List after swap: [-91, -94, -27, -84, -52, -96, -15, -86, 22, 24]
  Compare -15 and -86
  Swap -15 and -86
  List after swap: [-91, -94, -27, -84, -52, -96, -86, -15, 22, 24]

Pass 4:
  Compare -91 and -94
  Swap -91 and -94
  List after swap: [-94, -91, -27, -84, -52, -96, -86, -15, 22, 24]
  Compare -91 and -27
  No swap needed
  Compare -27 and -84
  Swap -27 and -84
  List after swap: [-94, -91, -84, -27, -52, -96, -86, -15, 22, 24]
  Compare -27 and -52
  Swap -27 and -52
  List after swap: [-94, -91, -84, -52, -27, -96, -86, -15, 22, 24]
  Compare -27 and -96
  Swap -27 and -96
  List after swap: [-94, -91, -84, -52, -96, -27, -86, -15, 22, 24]
  Compare -27 and -86
  Swap -27 and -86
  List after swap: [-94, -91, -84, -52, -96, -86, -27, -15, 22, 24]

Pass 5:
  Compare -94 and -91
  No swap needed
  Compare -91 and -84
  No swap needed
  Compare -84 and -52
  No swap needed
  Compare -52 and -96
  Swap -52 and -96
  List after swap: [-94, -91, -84, -96, -52, -86, -27, -15, 22, 24]
  Compare -52 and -86
  Swap -52 and -86
  List after swap: [-94, -91, -84, -96, -86, -52, -27, -15, 22, 24]

Pass 6:
  Compare -94 and -91
  No swap needed
  Compare -91 and -84
  No swap needed
  Compare -84 and -96
  Swap -84 and -96
  List after swap: [-94, -91, -96, -84, -86, -52, -27, -15, 22, 24]
  Compare -84 and -86
  Swap -84 and -86
  List after swap: [-94, -91, -96, -86, -84, -52, -27, -15, 22, 24]

Pass 7:
  Compare -94 and -91
  No swap needed
  Compare -91 and -96
  Swap -91 and -96
  List after swap: [-94, -96, -91, -86, -84, -52, -27, -15, 22, 24]
  Compare -91 and -86
  No swap needed

Pass 8:
  Compare -94 and -96
  Swap -94 and -96
  List after swap: [-96, -94, -91, -86, -84, -52, -27, -15, 22, 24]
  Compare -94 and -91
  No swap needed

Pass 9:
  Compare -96 and -94
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -94, -91, -86, -84, -52, -27, -15, 22, 24]
</think>

<response>-96, -94, -91, -86, -84, -52, -27, -15, 22, 24</response>


input: Carry out the bubble sort algorithm on -21, 89, -17, -59, 57, -36, -27, -26, -99 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-21, 89, -17, -59, 57, -36, -27, -26, -99]

Pass 1:
  Compare -21 and 89
  No swap needed
  Compare 89 and -17
  Swap 89 and -17
  List after swap: [-21, -17, 89, -59, 57, -36, -27, -26, -99]
  Compare 89 and -59
  Swap 89 and -59
  List after swap: [-21, -17, -59, 89, 57, -36, -27, -26, -99]
  Compare 89 and 57
  Swap 89 and 57
  List after swap: [-21, -17, -59, 57, 89, -36, -27, -26, -99]
  Compare 89 and -36
  Swap 89 and -36
  List after swap: [-21, -17, -59, 57, -36, 89, -27, -26, -99]
  Compare 89 and -27
  Swap 89 and -27
  List after swap: [-21, -17, -59, 57, -36, -27, 89, -26, -99]
  Compare 89 and -26
  Swap 89 and -26
  List after swap: [-21, -17, -59, 57, -36, -27, -26, 89, -99]
  Compare 89 and -99
  Swap 89 and -99
  List after swap: [-21, -17, -59, 57, -36, -27, -26, -99, 89]

Pass 2:
  Compare -21 and -17
  No swap needed
  Compare -17 and -59
  Swap -17 and -59
  List after swap: [-21, -59, -17, 57, -36, -27, -26, -99, 89]
  Compare -17 and 57
  No swap needed
  Compare 57 and -36
  Swap 57 and -36
  List after swap: [-21, -59, -17, -36, 57, -27, -26, -99, 89]
  Compare 57 and -27
  Swap 57 and -27
  List after swap: [-21, -59, -17, -36, -27, 57, -26, -99, 89]
  Compare 57 and -26
  Swap 57 and -26
  List after swap: [-21, -59, -17, -36, -27, -26, 57, -99, 89]
  Compare 57 and -99
  Swap 57 and -99
  List after swap: [-21, -59, -17, -36, -27, -26, -99, 57, 89]

Pass 3:
  Compare -21 and -59
  Swap -21 and -59
  List after swap: [-59, -21, -17, -36, -27, -26, -99, 57, 89]
  Compare -21 and -17
  No swap needed
  Compare -17 and -36
  Swap -17 and -36
  List after swap: [-59, -21, -36, -17, -27, -26, -99, 57, 89]
  Compare -17 and -27
  Swap -17 and -27
  List after swap: [-59, -21, -36, -27, -17, -26, -99, 57, 89]
  Compare -17 and -26
  Swap -17 and -26
  List after swap: [-59, -21, -36, -27, -26, -17, -99, 57, 89]
  Compare -17 and -99
  Swap -17 and -99
  List after swap: [-59, -21, -36, -27, -26, -99, -17, 57, 89]

Pass 4:
  Compare -59 and -21
  No swap needed
  Compare -21 and -36
  Swap -21 and -36
  List after swap: [-59, -36, -21, -27, -26, -99, -17, 57, 89]
  Compare -21 and -27
  Swap -21 and -27
  List after swap: [-59, -36, -27, -21, -26, -99, -17, 57, 89]
  Compare -21 and -26
  Swap -21 and -26
  List after swap: [-59, -36, -27, -26, -21, -99, -17, 57, 89]
  Compare -21 and -99
  Swap -21 and -99
  List after swap: [-59, -36, -27, -26, -99, -21, -17, 57, 89]

Pass 5:
  Compare -59 and -36
  No swap needed
  Compare -36 and -27
  No swap needed
  Compare -27 and -26
  No swap needed
  Compare -26 and -99
  Swap -26 and -99
  List after swap: [-59, -36, -27, -99, -26, -21, -17, 57, 89]

Pass 6:
  Compare -59 and -36
  No swap needed
  Compare -36 and -27
  No swap needed
  Compare -27 and -99
  Swap -27 and -99
  List after swap: [-59, -36, -99, -27, -26, -21, -17, 57, 89]

Pass 7:
  Compare -59 and -36
  No swap needed
  Compare -36 and -99
  Swap -36 and -99
  List after swap: [-59, -99, -36, -27, -26, -21, -17, 57, 89]

Pass 8:
  Compare -59 and -99
  Swap -59 and -99
  List after swap: [-99, -59, -36, -27, -26, -21, -17, 57, 89]

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

Final sorted list: [-99, -59, -36, -27, -26, -21, -17, 57, 89]
</think>

<response>-99, -59, -36, -27, -26, -21, -17, 57, 89</response>


input: Demonstrate how bubble sort orders the integers 74, 38, -4, 53, -39, 20, 77, 10, 26, -62 in ascending sequence, showing all steps.

output:
<think>
Initial list: [74, 38, -4, 53, -39, 20, 77, 10, 26, -62]

Pass 1:
  Compare 74 and 38
  Swap 74 and 38
  List after swap: [38, 74, -4, 53, -39, 20, 77, 10, 26, -62]
  Compare 74 and -4
  Swap 74 and -4
  List after swap: [38, -4, 74, 53, -39, 20, 77, 10, 26, -62]
  Compare 74 and 53
  Swap 74 and 53
  List after swap: [38, -4, 53, 74, -39, 20, 77, 10, 26, -62]
  Compare 74 and -39
  Swap 74 and -39
  List after swap: [38, -4, 53, -39, 74, 20, 77, 10, 26, -62]
  Compare 74 and 20
  Swap 74 and 20
  List after swap: [38, -4, 53, -39, 20, 74, 77, 10, 26, -62]
  Compare 74 and 77
  No swap needed
  Compare 77 and 10
  Swap 77 and 10
  List after swap: [38, -4, 53, -39, 20, 74, 10, 77, 26, -62]
  Compare 77 and 26
  Swap 77 and 26
  List after swap: [38, -4, 53, -39, 20, 74, 10, 26, 77, -62]
  Compare 77 and -62
  Swap 77 and -62
  List after swap: [38, -4, 53, -39, 20, 74, 10, 26, -62, 77]

Pass 2:
  Compare 38 and -4
  Swap 38 and -4
  List after swap: [-4, 38, 53, -39, 20, 74, 10, 26, -62, 77]
  Compare 38 and 53
  No swap needed
  Compare 53 and -39
  Swap 53 and -39
  List after swap: [-4, 38, -39, 53, 20, 74, 10, 26, -62, 77]
  Compare 53 and 20
  Swap 53 and 20
  List after swap: [-4, 38, -39, 20, 53, 74, 10, 26, -62, 77]
  Compare 53 and 74
  No swap needed
  Compare 74 and 10
  Swap 74 and 10
  List after swap: [-4, 38, -39, 20, 53, 10, 74, 26, -62, 77]
  Compare 74 and 26
  Swap 74 and 26
  List after swap: [-4, 38, -39, 20, 53, 10, 26, 74, -62, 77]
  Compare 74 and -62
  Swap 74 and -62
  List after swap: [-4, 38, -39, 20, 53, 10, 26, -62, 74, 77]

Pass 3:
  Compare -4 and 38
  No swap needed
  Compare 38 and -39
  Swap 38 and -39
  List after swap: [-4, -39, 38, 20, 53, 10, 26, -62, 74, 77]
  Compare 38 and 20
  Swap 38 and 20
  List after swap: [-4, -39, 20, 38, 53, 10, 26, -62, 74, 77]
  Compare 38 and 53
  No swap needed
  Compare 53 and 10
  Swap 53 and 10
  List after swap: [-4, -39, 20, 38, 10, 53, 26, -62, 74, 77]
  Compare 53 and 26
  Swap 53 and 26
  List after swap: [-4, -39, 20, 38, 10, 26, 53, -62, 74, 77]
  Compare 53 and -62
  Swap 53 and -62
  List after swap: [-4, -39, 20, 38, 10, 26, -62, 53, 74, 77]

Pass 4:
  Compare -4 and -39
  Swap -4 and -39
  List after swap: [-39, -4, 20, 38, 10, 26, -62, 53, 74, 77]
  Compare -4 and 20
  No swap needed
  Compare 20 and 38
  No swap needed
  Compare 38 and 10
  Swap 38 and 10
  List after swap: [-39, -4, 20, 10, 38, 26, -62, 53, 74, 77]
  Compare 38 and 26
  Swap 38 and 26
  List after swap: [-39, -4, 20, 10, 26, 38, -62, 53, 74, 77]
  Compare 38 and -62
  Swap 38 and -62
  List after swap: [-39, -4, 20, 10, 26, -62, 38, 53, 74, 77]

Pass 5:
  Compare -39 and -4
  No swap needed
  Compare -4 and 20
  No swap needed
  Compare 20 and 10
  Swap 20 and 10
  List after swap: [-39, -4, 10, 20, 26, -62, 38, 53, 74, 77]
  Compare 20 and 26
  No swap needed
  Compare 26 and -62
  Swap 26 and -62
  List after swap: [-39, -4, 10, 20, -62, 26, 38, 53, 74, 77]

Pass 6:
  Compare -39 and -4
  No swap needed
  Compare -4 and 10
  No swap needed
  Compare 10 and 20
  No swap needed
  Compare 20 and -62
  Swap 20 and -62
  List after swap: [-39, -4, 10, -62, 20, 26, 38, 53, 74, 77]

Pass 7:
  Compare -39 and -4
  No swap needed
  Compare -4 and 10
  No swap needed
  Compare 10 and -62
  Swap 10 and -62
  List after swap: [-39, -4, -62, 10, 20, 26, 38, 53, 74, 77]

Pass 8:
  Compare -39 and -4
  No swap needed
  Compare -4 and -62
  Swap -4 and -62
  List after swap: [-39, -62, -4, 10, 20, 26, 38, 53, 74, 77]

Pass 9:
  Compare -39 and -62
  Swap -39 and -62
  List after swap: [-62, -39, -4, 10, 20, 26, 38, 53, 74, 77]

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

Final sorted list: [-62, -39, -4, 10, 20, 26, 38, 53, 74, 77]
</think>

<response>-62, -39, -4, 10, 20, 26, 38, 53, 74, 77</response>


input: Arrange the numbers 93, 30, -14, 90, -72 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [93, 30, -14, 90, -72]

Pass 1:
  Compare 93 and 30
  Swap 93 and 30
  List after swap: [30, 93, -14, 90, -72]
  Compare 93 and -14
  Swap 93 and -14
  List after swap: [30, -14, 93, 90, -72]
  Compare 93 and 90
  Swap 93 and 90
  List after swap: [30, -14, 90, 93, -72]
  Compare 93 and -72
  Swap 93 and -72
  List after swap: [30, -14, 90, -72, 93]

Pass 2:
  Compare 30 and -14
  Swap 30 and -14
  List after swap: [-14, 30, 90, -72, 93]
  Compare 30 and 90
  No swap needed
  Compare 90 and -72
  Swap 90 and -72
  List after swap: [-14, 30, -72, 90, 93]

Pass 3:
  Compare -14 and 30
  No swap needed
  Compare 30 and -72
  Swap 30 and -72
  List after swap: [-14, -72, 30, 90, 93]

Pass 4:
  Compare -14 and -72
  Swap -14 and -72
  List after swap: [-72, -14, 30, 90, 93]

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

Final sorted list: [-72, -14, 30, 90, 93]
</think>

<response>-72, -14, 30, 90, 93</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -100, -68, 18.

output:
<think>
Initial list: [-100, -68, 18]

Pass 1:
  Compare -100 and -68
  No swap needed
  Compare -68 and 18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -68, 18]
</think>

<response>-100, -68, 18</response>


input: Carry out the bubble sort algorithm on 55, -45, -33, -81, 24 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [55, -45, -33, -81, 24]

Pass 1:
  Compare 55 and -45
  Swap 55 and -45
  List after swap: [-45, 55, -33, -81, 24]
  Compare 55 and -33
  Swap 55 and -33
  List after swap: [-45, -33, 55, -81, 24]
  Compare 55 and -81
  Swap 55 and -81
  List after swap: [-45, -33, -81, 55, 24]
  Compare 55 and 24
  Swap 55 and 24
  List after swap: [-45, -33, -81, 24, 55]

Pass 2:
  Compare -45 and -33
  No swap needed
  Compare -33 and -81
  Swap -33 and -81
  List after swap: [-45, -81, -33, 24, 55]
  Compare -33 and 24
  No swap needed

Pass 3:
  Compare -45 and -81
  Swap -45 and -81
  List after swap: [-81, -45, -33, 24, 55]
  Compare -45 and -33
  No swap needed

Pass 4:
  Compare -81 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -45, -33, 24, 55]
</think>

<response>-81, -45, -33, 24, 55</response>


input: Perform a bubble sort on the integers -63, 98, -34, 6, 19, -53, -79, -33, -47, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-63, 98, -34, 6, 19, -53, -79, -33, -47]

Pass 1:
  Compare -63 and 98
  No swap needed
  Compare 98 and -34
  Swap 98 and -34
  List after swap: [-63, -34, 98, 6, 19, -53, -79, -33, -47]
  Compare 98 and 6
  Swap 98 and 6
  List after swap: [-63, -34, 6, 98, 19, -53, -79, -33, -47]
  Compare 98 and 19
  Swap 98 and 19
  List after swap: [-63, -34, 6, 19, 98, -53, -79, -33, -47]
  Compare 98 and -53
  Swap 98 and -53
  List after swap: [-63, -34, 6, 19, -53, 98, -79, -33, -47]
  Compare 98 and -79
  Swap 98 and -79
  List after swap: [-63, -34, 6, 19, -53, -79, 98, -33, -47]
  Compare 98 and -33
  Swap 98 and -33
  List after swap: [-63, -34, 6, 19, -53, -79, -33, 98, -47]
  Compare 98 and -47
  Swap 98 and -47
  List after swap: [-63, -34, 6, 19, -53, -79, -33, -47, 98]

Pass 2:
  Compare -63 and -34
  No swap needed
  Compare -34 and 6
  No swap needed
  Compare 6 and 19
  No swap needed
  Compare 19 and -53
  Swap 19 and -53
  List after swap: [-63, -34, 6, -53, 19, -79, -33, -47, 98]
  Compare 19 and -79
  Swap 19 and -79
  List after swap: [-63, -34, 6, -53, -79, 19, -33, -47, 98]
  Compare 19 and -33
  Swap 19 and -33
  List after swap: [-63, -34, 6, -53, -79, -33, 19, -47, 98]
  Compare 19 and -47
  Swap 19 and -47
  List after swap: [-63, -34, 6, -53, -79, -33, -47, 19, 98]

Pass 3:
  Compare -63 and -34
  No swap needed
  Compare -34 and 6
  No swap needed
  Compare 6 and -53
  Swap 6 and -53
  List after swap: [-63, -34, -53, 6, -79, -33, -47, 19, 98]
  Compare 6 and -79
  Swap 6 and -79
  List after swap: [-63, -34, -53, -79, 6, -33, -47, 19, 98]
  Compare 6 and -33
  Swap 6 and -33
  List after swap: [-63, -34, -53, -79, -33, 6, -47, 19, 98]
  Compare 6 and -47
  Swap 6 and -47
  List after swap: [-63, -34, -53, -79, -33, -47, 6, 19, 98]

Pass 4:
  Compare -63 and -34
  No swap needed
  Compare -34 and -53
  Swap -34 and -53
  List after swap: [-63, -53, -34, -79, -33, -47, 6, 19, 98]
  Compare -34 and -79
  Swap -34 and -79
  List after swap: [-63, -53, -79, -34, -33, -47, 6, 19, 98]
  Compare -34 and -33
  No swap needed
  Compare -33 and -47
  Swap -33 and -47
  List after swap: [-63, -53, -79, -34, -47, -33, 6, 19, 98]

Pass 5:
  Compare -63 and -53
  No swap needed
  Compare -53 and -79
  Swap -53 and -79
  List after swap: [-63, -79, -53, -34, -47, -33, 6, 19, 98]
  Compare -53 and -34
  No swap needed
  Compare -34 and -47
  Swap -34 and -47
  List after swap: [-63, -79, -53, -47, -34, -33, 6, 19, 98]

Pass 6:
  Compare -63 and -79
  Swap -63 and -79
  List after swap: [-79, -63, -53, -47, -34, -33, 6, 19, 98]
  Compare -63 and -53
  No swap needed
  Compare -53 and -47
  No swap needed

Pass 7:
  Compare -79 and -63
  No swap needed
  Compare -63 and -53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -63, -53, -47, -34, -33, 6, 19, 98]
</think>

<response>-79, -63, -53, -47, -34, -33, 6, 19, 98</response>


input: Sort the list 19, 60, -85 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [19, 60, -85]

Pass 1:
  Compare 19 and 60
  No swap needed
  Compare 60 and -85
  Swap 60 and -85
  List after swap: [19, -85, 60]

Pass 2:
  Compare 19 and -85
  Swap 19 and -85
  List after swap: [-85, 19, 60]

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

Final sorted list: [-85, 19, 60]
</think>

<response>-85, 19, 60</response>


input: Perform a bubble sort on the integers 97, -8, 32, -26, 71, 38, -9, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [97, -8, 32, -26, 71, 38, -9]

Pass 1:
  Compare 97 and -8
  Swap 97 and -8
  List after swap: [-8, 97, 32, -26, 71, 38, -9]
  Compare 97 and 32
  Swap 97 and 32
  List after swap: [-8, 32, 97, -26, 71, 38, -9]
  Compare 97 and -26
  Swap 97 and -26
  List after swap: [-8, 32, -26, 97, 71, 38, -9]
  Compare 97 and 71
  Swap 97 and 71
  List after swap: [-8, 32, -26, 71, 97, 38, -9]
  Compare 97 and 38
  Swap 97 and 38
  List after swap: [-8, 32, -26, 71, 38, 97, -9]
  Compare 97 and -9
  Swap 97 and -9
  List after swap: [-8, 32, -26, 71, 38, -9, 97]

Pass 2:
  Compare -8 and 32
  No swap needed
  Compare 32 and -26
  Swap 32 and -26
  List after swap: [-8, -26, 32, 71, 38, -9, 97]
  Compare 32 and 71
  No swap needed
  Compare 71 and 38
  Swap 71 and 38
  List after swap: [-8, -26, 32, 38, 71, -9, 97]
  Compare 71 and -9
  Swap 71 and -9
  List after swap: [-8, -26, 32, 38, -9, 71, 97]

Pass 3:
  Compare -8 and -26
  Swap -8 and -26
  List after swap: [-26, -8, 32, 38, -9, 71, 97]
  Compare -8 and 32
  No swap needed
  Compare 32 and 38
  No swap needed
  Compare 38 and -9
  Swap 38 and -9
  List after swap: [-26, -8, 32, -9, 38, 71, 97]

Pass 4:
  Compare -26 and -8
  No swap needed
  Compare -8 and 32
  No swap needed
  Compare 32 and -9
  Swap 32 and -9
  List after swap: [-26, -8, -9, 32, 38, 71, 97]

Pass 5:
  Compare -26 and -8
  No swap needed
  Compare -8 and -9
  Swap -8 and -9
  List after swap: [-26, -9, -8, 32, 38, 71, 97]

Pass 6:
  Compare -26 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-26, -9, -8, 32, 38, 71, 97]
</think>

<response>-26, -9, -8, 32, 38, 71, 97</response>


input: Execute bubble sort to sort -91, 35 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-91, 35]

Pass 1:
  Compare -91 and 35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, 35]
</think>

<response>-91, 35</response>


input: Demonstrate how bubble sort orders the integers 64, -71, 56 in ascending sequence, showing all steps.

output:
<think>
Initial list: [64, -71, 56]

Pass 1:
  Compare 64 and -71
  Swap 64 and -71
  List after swap: [-71, 64, 56]
  Compare 64 and 56
  Swap 64 and 56
  List after swap: [-71, 56, 64]

Pass 2:
  Compare -71 and 56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, 56, 64]
</think>

<response>-71, 56, 64</response>


input: Demonstrate how bubble sort orders the integers -50, 83, -37 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-50, 83, -37]

Pass 1:
  Compare -50 and 83
  No swap needed
  Compare 83 and -37
  Swap 83 and -37
  List after swap: [-50, -37, 83]

Pass 2:
  Compare -50 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, -37, 83]
</think>

<response>-50, -37, 83</response>


input: Implement bubble sort on -62, 74, -13 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-62, 74, -13]

Pass 1:
  Compare -62 and 74
  No swap needed
  Compare 74 and -13
  Swap 74 and -13
  List after swap: [-62, -13, 74]

Pass 2:
  Compare -62 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -13, 74]
</think>

<response>-62, -13, 74</response>


input: Arrange the numbers -26, 72, 17, -71 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-26, 72, 17, -71]

Pass 1:
  Compare -26 and 72
  No swap needed
  Compare 72 and 17
  Swap 72 and 17
  List after swap: [-26, 17, 72, -71]
  Compare 72 and -71
  Swap 72 and -71
  List after swap: [-26, 17, -71, 72]

Pass 2:
  Compare -26 and 17
  No swap needed
  Compare 17 and -71
  Swap 17 and -71
  List after swap: [-26, -71, 17, 72]

Pass 3:
  Compare -26 and -71
  Swap -26 and -71
  List after swap: [-71, -26, 17, 72]

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

Final sorted list: [-71, -26, 17, 72]
</think>

<response>-71, -26, 17, 72</response>


input: Demonstrate how bubble sort orders the integers -17, -100, 18, 73, -72, -20 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-17, -100, 18, 73, -72, -20]

Pass 1:
  Compare -17 and -100
  Swap -17 and -100
  List after swap: [-100, -17, 18, 73, -72, -20]
  Compare -17 and 18
  No swap needed
  Compare 18 and 73
  No swap needed
  Compare 73 and -72
  Swap 73 and -72
  List after swap: [-100, -17, 18, -72, 73, -20]
  Compare 73 and -20
  Swap 73 and -20
  List after swap: [-100, -17, 18, -72, -20, 73]

Pass 2:
  Compare -100 and -17
  No swap needed
  Compare -17 and 18
  No swap needed
  Compare 18 and -72
  Swap 18 and -72
  List after swap: [-100, -17, -72, 18, -20, 73]
  Compare 18 and -20
  Swap 18 and -20
  List after swap: [-100, -17, -72, -20, 18, 73]

Pass 3:
  Compare -100 and -17
  No swap needed
  Compare -17 and -72
  Swap -17 and -72
  List after swap: [-100, -72, -17, -20, 18, 73]
  Compare -17 and -20
  Swap -17 and -20
  List after swap: [-100, -72, -20, -17, 18, 73]

Pass 4:
  Compare -100 and -72
  No swap needed
  Compare -72 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -72, -20, -17, 18, 73]
</think>

<response>-100, -72, -20, -17, 18, 73</response>


input: Carry out the bubble sort algorithm on -35, 33, -85, 58, 31, -88, -91, -77, -93, 70 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-35, 33, -85, 58, 31, -88, -91, -77, -93, 70]

Pass 1:
  Compare -35 and 33
  No swap needed
  Compare 33 and -85
  Swap 33 and -85
  List after swap: [-35, -85, 33, 58, 31, -88, -91, -77, -93, 70]
  Compare 33 and 58
  No swap needed
  Compare 58 and 31
  Swap 58 and 31
  List after swap: [-35, -85, 33, 31, 58, -88, -91, -77, -93, 70]
  Compare 58 and -88
  Swap 58 and -88
  List after swap: [-35, -85, 33, 31, -88, 58, -91, -77, -93, 70]
  Compare 58 and -91
  Swap 58 and -91
  List after swap: [-35, -85, 33, 31, -88, -91, 58, -77, -93, 70]
  Compare 58 and -77
  Swap 58 and -77
  List after swap: [-35, -85, 33, 31, -88, -91, -77, 58, -93, 70]
  Compare 58 and -93
  Swap 58 and -93
  List after swap: [-35, -85, 33, 31, -88, -91, -77, -93, 58, 70]
  Compare 58 and 70
  No swap needed

Pass 2:
  Compare -35 and -85
  Swap -35 and -85
  List after swap: [-85, -35, 33, 31, -88, -91, -77, -93, 58, 70]
  Compare -35 and 33
  No swap needed
  Compare 33 and 31
  Swap 33 and 31
  List after swap: [-85, -35, 31, 33, -88, -91, -77, -93, 58, 70]
  Compare 33 and -88
  Swap 33 and -88
  List after swap: [-85, -35, 31, -88, 33, -91, -77, -93, 58, 70]
  Compare 33 and -91
  Swap 33 and -91
  List after swap: [-85, -35, 31, -88, -91, 33, -77, -93, 58, 70]
  Compare 33 and -77
  Swap 33 and -77
  List after swap: [-85, -35, 31, -88, -91, -77, 33, -93, 58, 70]
  Compare 33 and -93
  Swap 33 and -93
  List after swap: [-85, -35, 31, -88, -91, -77, -93, 33, 58, 70]
  Compare 33 and 58
  No swap needed

Pass 3:
  Compare -85 and -35
  No swap needed
  Compare -35 and 31
  No swap needed
  Compare 31 and -88
  Swap 31 and -88
  List after swap: [-85, -35, -88, 31, -91, -77, -93, 33, 58, 70]
  Compare 31 and -91
  Swap 31 and -91
  List after swap: [-85, -35, -88, -91, 31, -77, -93, 33, 58, 70]
  Compare 31 and -77
  Swap 31 and -77
  List after swap: [-85, -35, -88, -91, -77, 31, -93, 33, 58, 70]
  Compare 31 and -93
  Swap 31 and -93
  List after swap: [-85, -35, -88, -91, -77, -93, 31, 33, 58, 70]
  Compare 31 and 33
  No swap needed

Pass 4:
  Compare -85 and -35
  No swap needed
  Compare -35 and -88
  Swap -35 and -88
  List after swap: [-85, -88, -35, -91, -77, -93, 31, 33, 58, 70]
  Compare -35 and -91
  Swap -35 and -91
  List after swap: [-85, -88, -91, -35, -77, -93, 31, 33, 58, 70]
  Compare -35 and -77
  Swap -35 and -77
  List after swap: [-85, -88, -91, -77, -35, -93, 31, 33, 58, 70]
  Compare -35 and -93
  Swap -35 and -93
  List after swap: [-85, -88, -91, -77, -93, -35, 31, 33, 58, 70]
  Compare -35 and 31
  No swap needed

Pass 5:
  Compare -85 and -88
  Swap -85 and -88
  List after swap: [-88, -85, -91, -77, -93, -35, 31, 33, 58, 70]
  Compare -85 and -91
  Swap -85 and -91
  List after swap: [-88, -91, -85, -77, -93, -35, 31, 33, 58, 70]
  Compare -85 and -77
  No swap needed
  Compare -77 and -93
  Swap -77 and -93
  List after swap: [-88, -91, -85, -93, -77, -35, 31, 33, 58, 70]
  Compare -77 and -35
  No swap needed

Pass 6:
  Compare -88 and -91
  Swap -88 and -91
  List after swap: [-91, -88, -85, -93, -77, -35, 31, 33, 58, 70]
  Compare -88 and -85
  No swap needed
  Compare -85 and -93
  Swap -85 and -93
  List after swap: [-91, -88, -93, -85, -77, -35, 31, 33, 58, 70]
  Compare -85 and -77
  No swap needed

Pass 7:
  Compare -91 and -88
  No swap needed
  Compare -88 and -93
  Swap -88 and -93
  List after swap: [-91, -93, -88, -85, -77, -35, 31, 33, 58, 70]
  Compare -88 and -85
  No swap needed

Pass 8:
  Compare -91 and -93
  Swap -91 and -93
  List after swap: [-93, -91, -88, -85, -77, -35, 31, 33, 58, 70]
  Compare -91 and -88
  No swap needed

Pass 9:
  Compare -93 and -91
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -91, -88, -85, -77, -35, 31, 33, 58, 70]
</think>

<response>-93, -91, -88, -85, -77, -35, 31, 33, 58, 70</response>


input: Using the bubble sort method, sort 21, 64, -33, 39 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [21, 64, -33, 39]

Pass 1:
  Compare 21 and 64
  No swap needed
  Compare 64 and -33
  Swap 64 and -33
  List after swap: [21, -33, 64, 39]
  Compare 64 and 39
  Swap 64 and 39
  List after swap: [21, -33, 39, 64]

Pass 2:
  Compare 21 and -33
  Swap 21 and -33
  List after swap: [-33, 21, 39, 64]
  Compare 21 and 39
  No swap needed

Pass 3:
  Compare -33 and 21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-33, 21, 39, 64]
</think>

<response>-33, 21, 39, 64</response>


input: Using the bubble sort method, sort 97, 27, 44 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [97, 27, 44]

Pass 1:
  Compare 97 and 27
  Swap 97 and 27
  List after swap: [27, 97, 44]
  Compare 97 and 44
  Swap 97 and 44
  List after swap: [27, 44, 97]

Pass 2:
  Compare 27 and 44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [27, 44, 97]
</think>

<response>27, 44, 97</response>


input: Sort these integers 12, -81, 49, 53, 85 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [12, -81, 49, 53, 85]

Pass 1:
  Compare 12 and -81
  Swap 12 and -81
  List after swap: [-81, 12, 49, 53, 85]
  Compare 12 and 49
  No swap needed
  Compare 49 and 53
  No swap needed
  Compare 53 and 85
  No swap needed

Pass 2:
  Compare -81 and 12
  No swap needed
  Compare 12 and 49
  No swap needed
  Compare 49 and 53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, 12, 49, 53, 85]
</think>

<response>-81, 12, 49, 53, 85</response>


input: Use the bubble sort technique to reorder 10, -39, -20, 46, 94, -34, 41, -44, 5 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [10, -39, -20, 46, 94, -34, 41, -44, 5]

Pass 1:
  Compare 10 and -39
  Swap 10 and -39
  List after swap: [-39, 10, -20, 46, 94, -34, 41, -44, 5]
  Compare 10 and -20
  Swap 10 and -20
  List after swap: [-39, -20, 10, 46, 94, -34, 41, -44, 5]
  Compare 10 and 46
  No swap needed
  Compare 46 and 94
  No swap needed
  Compare 94 and -34
  Swap 94 and -34
  List after swap: [-39, -20, 10, 46, -34, 94, 41, -44, 5]
  Compare 94 and 41
  Swap 94 and 41
  List after swap: [-39, -20, 10, 46, -34, 41, 94, -44, 5]
  Compare 94 and -44
  Swap 94 and -44
  List after swap: [-39, -20, 10, 46, -34, 41, -44, 94, 5]
  Compare 94 and 5
  Swap 94 and 5
  List after swap: [-39, -20, 10, 46, -34, 41, -44, 5, 94]

Pass 2:
  Compare -39 and -20
  No swap needed
  Compare -20 and 10
  No swap needed
  Compare 10 and 46
  No swap needed
  Compare 46 and -34
  Swap 46 and -34
  List after swap: [-39, -20, 10, -34, 46, 41, -44, 5, 94]
  Compare 46 and 41
  Swap 46 and 41
  List after swap: [-39, -20, 10, -34, 41, 46, -44, 5, 94]
  Compare 46 and -44
  Swap 46 and -44
  List after swap: [-39, -20, 10, -34, 41, -44, 46, 5, 94]
  Compare 46 and 5
  Swap 46 and 5
  List after swap: [-39, -20, 10, -34, 41, -44, 5, 46, 94]

Pass 3:
  Compare -39 and -20
  No swap needed
  Compare -20 and 10
  No swap needed
  Compare 10 and -34
  Swap 10 and -34
  List after swap: [-39, -20, -34, 10, 41, -44, 5, 46, 94]
  Compare 10 and 41
  No swap needed
  Compare 41 and -44
  Swap 41 and -44
  List after swap: [-39, -20, -34, 10, -44, 41, 5, 46, 94]
  Compare 41 and 5
  Swap 41 and 5
  List after swap: [-39, -20, -34, 10, -44, 5, 41, 46, 94]

Pass 4:
  Compare -39 and -20
  No swap needed
  Compare -20 and -34
  Swap -20 and -34
  List after swap: [-39, -34, -20, 10, -44, 5, 41, 46, 94]
  Compare -20 and 10
  No swap needed
  Compare 10 and -44
  Swap 10 and -44
  List after swap: [-39, -34, -20, -44, 10, 5, 41, 46, 94]
  Compare 10 and 5
  Swap 10 and 5
  List after swap: [-39, -34, -20, -44, 5, 10, 41, 46, 94]

Pass 5:
  Compare -39 and -34
  No swap needed
  Compare -34 and -20
  No swap needed
  Compare -20 and -44
  Swap -20 and -44
  List after swap: [-39, -34, -44, -20, 5, 10, 41, 46, 94]
  Compare -20 and 5
  No swap needed

Pass 6:
  Compare -39 and -34
  No swap needed
  Compare -34 and -44
  Swap -34 and -44
  List after swap: [-39, -44, -34, -20, 5, 10, 41, 46, 94]
  Compare -34 and -20
  No swap needed

Pass 7:
  Compare -39 and -44
  Swap -39 and -44
  List after swap: [-44, -39, -34, -20, 5, 10, 41, 46, 94]
  Compare -39 and -34
  No swap needed

Pass 8:
  Compare -44 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-44, -39, -34, -20, 5, 10, 41, 46, 94]
</think>

<response>-44, -39, -34, -20, 5, 10, 41, 46, 94</response>


input: Sort these integers -77, -88, -11, -16, 53, -43, -30, 40 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-77, -88, -11, -16, 53, -43, -30, 40]

Pass 1:
  Compare -77 and -88
  Swap -77 and -88
  List after swap: [-88, -77, -11, -16, 53, -43, -30, 40]
  Compare -77 and -11
  No swap needed
  Compare -11 and -16
  Swap -11 and -16
  List after swap: [-88, -77, -16, -11, 53, -43, -30, 40]
  Compare -11 and 53
  No swap needed
  Compare 53 and -43
  Swap 53 and -43
  List after swap: [-88, -77, -16, -11, -43, 53, -30, 40]
  Compare 53 and -30
  Swap 53 and -30
  List after swap: [-88, -77, -16, -11, -43, -30, 53, 40]
  Compare 53 and 40
  Swap 53 and 40
  List after swap: [-88, -77, -16, -11, -43, -30, 40, 53]

Pass 2:
  Compare -88 and -77
  No swap needed
  Compare -77 and -16
  No swap needed
  Compare -16 and -11
  No swap needed
  Compare -11 and -43
  Swap -11 and -43
  List after swap: [-88, -77, -16, -43, -11, -30, 40, 53]
  Compare -11 and -30
  Swap -11 and -30
  List after swap: [-88, -77, -16, -43, -30, -11, 40, 53]
  Compare -11 and 40
  No swap needed

Pass 3:
  Compare -88 and -77
  No swap needed
  Compare -77 and -16
  No swap needed
  Compare -16 and -43
  Swap -16 and -43
  List after swap: [-88, -77, -43, -16, -30, -11, 40, 53]
  Compare -16 and -30
  Swap -16 and -30
  List after swap: [-88, -77, -43, -30, -16, -11, 40, 53]
  Compare -16 and -11
  No swap needed

Pass 4:
  Compare -88 and -77
  No swap needed
  Compare -77 and -43
  No swap needed
  Compare -43 and -30
  No swap needed
  Compare -30 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -77, -43, -30, -16, -11, 40, 53]
</think>

<response>-88, -77, -43, -30, -16, -11, 40, 53</response>


input: Using the bubble sort method, sort 34, -47 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [34, -47]

Pass 1:
  Compare 34 and -47
  Swap 34 and -47
  List after swap: [-47, 34]

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

Final sorted list: [-47, 34]
</think>

<response>-47, 34</response>


input: Use the bubble sort technique to reorder -14, 72, 73, 69 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-14, 72, 73, 69]

Pass 1:
  Compare -14 and 72
  No swap needed
  Compare 72 and 73
  No swap needed
  Compare 73 and 69
  Swap 73 and 69
  List after swap: [-14, 72, 69, 73]

Pass 2:
  Compare -14 and 72
  No swap needed
  Compare 72 and 69
  Swap 72 and 69
  List after swap: [-14, 69, 72, 73]

Pass 3:
  Compare -14 and 69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-14, 69, 72, 73]
</think>

<response>-14, 69, 72, 73</response>


input: Demonstrate how bubble sort orders the integers -1, 76, -27, 31, 27, 0 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-1, 76, -27, 31, 27, 0]

Pass 1:
  Compare -1 and 76
  No swap needed
  Compare 76 and -27
  Swap 76 and -27
  List after swap: [-1, -27, 76, 31, 27, 0]
  Compare 76 and 31
  Swap 76 and 31
  List after swap: [-1, -27, 31, 76, 27, 0]
  Compare 76 and 27
  Swap 76 and 27
  List after swap: [-1, -27, 31, 27, 76, 0]
  Compare 76 and 0
  Swap 76 and 0
  List after swap: [-1, -27, 31, 27, 0, 76]

Pass 2:
  Compare -1 and -27
  Swap -1 and -27
  List after swap: [-27, -1, 31, 27, 0, 76]
  Compare -1 and 31
  No swap needed
  Compare 31 and 27
  Swap 31 and 27
  List after swap: [-27, -1, 27, 31, 0, 76]
  Compare 31 and 0
  Swap 31 and 0
  List after swap: [-27, -1, 27, 0, 31, 76]

Pass 3:
  Compare -27 and -1
  No swap needed
  Compare -1 and 27
  No swap needed
  Compare 27 and 0
  Swap 27 and 0
  List after swap: [-27, -1, 0, 27, 31, 76]

Pass 4:
  Compare -27 and -1
  No swap needed
  Compare -1 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-27, -1, 0, 27, 31, 76]
</think>

<response>-27, -1, 0, 27, 31, 76</response>


input: Sort these integers 11, 50, -40, 55, 28, 75, -94, 60 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [11, 50, -40, 55, 28, 75, -94, 60]

Pass 1:
  Compare 11 and 50
  No swap needed
  Compare 50 and -40
  Swap 50 and -40
  List after swap: [11, -40, 50, 55, 28, 75, -94, 60]
  Compare 50 and 55
  No swap needed
  Compare 55 and 28
  Swap 55 and 28
  List after swap: [11, -40, 50, 28, 55, 75, -94, 60]
  Compare 55 and 75
  No swap needed
  Compare 75 and -94
  Swap 75 and -94
  List after swap: [11, -40, 50, 28, 55, -94, 75, 60]
  Compare 75 and 60
  Swap 75 and 60
  List after swap: [11, -40, 50, 28, 55, -94, 60, 75]

Pass 2:
  Compare 11 and -40
  Swap 11 and -40
  List after swap: [-40, 11, 50, 28, 55, -94, 60, 75]
  Compare 11 and 50
  No swap needed
  Compare 50 and 28
  Swap 50 and 28
  List after swap: [-40, 11, 28, 50, 55, -94, 60, 75]
  Compare 50 and 55
  No swap needed
  Compare 55 and -94
  Swap 55 and -94
  List after swap: [-40, 11, 28, 50, -94, 55, 60, 75]
  Compare 55 and 60
  No swap needed

Pass 3:
  Compare -40 and 11
  No swap needed
  Compare 11 and 28
  No swap needed
  Compare 28 and 50
  No swap needed
  Compare 50 and -94
  Swap 50 and -94
  List after swap: [-40, 11, 28, -94, 50, 55, 60, 75]
  Compare 50 and 55
  No swap needed

Pass 4:
  Compare -40 and 11
  No swap needed
  Compare 11 and 28
  No swap needed
  Compare 28 and -94
  Swap 28 and -94
  List after swap: [-40, 11, -94, 28, 50, 55, 60, 75]
  Compare 28 and 50
  No swap needed

Pass 5:
  Compare -40 and 11
  No swap needed
  Compare 11 and -94
  Swap 11 and -94
  List after swap: [-40, -94, 11, 28, 50, 55, 60, 75]
  Compare 11 and 28
  No swap needed

Pass 6:
  Compare -40 and -94
  Swap -40 and -94
  List after swap: [-94, -40, 11, 28, 50, 55, 60, 75]
  Compare -40 and 11
  No swap needed

Pass 7:
  Compare -94 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -40, 11, 28, 50, 55, 60, 75]
</think>

<response>-94, -40, 11, 28, 50, 55, 60, 75</response>


input: Perform a bubble sort on the integers -75, -96, 78, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-75, -96, 78]

Pass 1:
  Compare -75 and -96
  Swap -75 and -96
  List after swap: [-96, -75, 78]
  Compare -75 and 78
  No swap needed

Pass 2:
  Compare -96 and -75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -75, 78]
</think>

<response>-96, -75, 78</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 51, -94, -74, 69, 77, -6, 81, -25, -16.

output:
<think>
Initial list: [51, -94, -74, 69, 77, -6, 81, -25, -16]

Pass 1:
  Compare 51 and -94
  Swap 51 and -94
  List after swap: [-94, 51, -74, 69, 77, -6, 81, -25, -16]
  Compare 51 and -74
  Swap 51 and -74
  List after swap: [-94, -74, 51, 69, 77, -6, 81, -25, -16]
  Compare 51 and 69
  No swap needed
  Compare 69 and 77
  No swap needed
  Compare 77 and -6
  Swap 77 and -6
  List after swap: [-94, -74, 51, 69, -6, 77, 81, -25, -16]
  Compare 77 and 81
  No swap needed
  Compare 81 and -25
  Swap 81 and -25
  List after swap: [-94, -74, 51, 69, -6, 77, -25, 81, -16]
  Compare 81 and -16
  Swap 81 and -16
  List after swap: [-94, -74, 51, 69, -6, 77, -25, -16, 81]

Pass 2:
  Compare -94 and -74
  No swap needed
  Compare -74 and 51
  No swap needed
  Compare 51 and 69
  No swap needed
  Compare 69 and -6
  Swap 69 and -6
  List after swap: [-94, -74, 51, -6, 69, 77, -25, -16, 81]
  Compare 69 and 77
  No swap needed
  Compare 77 and -25
  Swap 77 and -25
  List after swap: [-94, -74, 51, -6, 69, -25, 77, -16, 81]
  Compare 77 and -16
  Swap 77 and -16
  List after swap: [-94, -74, 51, -6, 69, -25, -16, 77, 81]

Pass 3:
  Compare -94 and -74
  No swap needed
  Compare -74 and 51
  No swap needed
  Compare 51 and -6
  Swap 51 and -6
  List after swap: [-94, -74, -6, 51, 69, -25, -16, 77, 81]
  Compare 51 and 69
  No swap needed
  Compare 69 and -25
  Swap 69 and -25
  List after swap: [-94, -74, -6, 51, -25, 69, -16, 77, 81]
  Compare 69 and -16
  Swap 69 and -16
  List after swap: [-94, -74, -6, 51, -25, -16, 69, 77, 81]

Pass 4:
  Compare -94 and -74
  No swap needed
  Compare -74 and -6
  No swap needed
  Compare -6 and 51
  No swap needed
  Compare 51 and -25
  Swap 51 and -25
  List after swap: [-94, -74, -6, -25, 51, -16, 69, 77, 81]
  Compare 51 and -16
  Swap 51 and -16
  List after swap: [-94, -74, -6, -25, -16, 51, 69, 77, 81]

Pass 5:
  Compare -94 and -74
  No swap needed
  Compare -74 and -6
  No swap needed
  Compare -6 and -25
  Swap -6 and -25
  List after swap: [-94, -74, -25, -6, -16, 51, 69, 77, 81]
  Compare -6 and -16
  Swap -6 and -16
  List after swap: [-94, -74, -25, -16, -6, 51, 69, 77, 81]

Pass 6:
  Compare -94 and -74
  No swap needed
  Compare -74 and -25
  No swap needed
  Compare -25 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -74, -25, -16, -6, 51, 69, 77, 81]
</think>

<response>-94, -74, -25, -16, -6, 51, 69, 77, 81</response>


input: Sort these integers 62, -85, -25, -40, 27 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [62, -85, -25, -40, 27]

Pass 1:
  Compare 62 and -85
  Swap 62 and -85
  List after swap: [-85, 62, -25, -40, 27]
  Compare 62 and -25
  Swap 62 and -25
  List after swap: [-85, -25, 62, -40, 27]
  Compare 62 and -40
  Swap 62 and -40
  List after swap: [-85, -25, -40, 62, 27]
  Compare 62 and 27
  Swap 62 and 27
  List after swap: [-85, -25, -40, 27, 62]

Pass 2:
  Compare -85 and -25
  No swap needed
  Compare -25 and -40
  Swap -25 and -40
  List after swap: [-85, -40, -25, 27, 62]
  Compare -25 and 27
  No swap needed

Pass 3:
  Compare -85 and -40
  No swap needed
  Compare -40 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -40, -25, 27, 62]
</think>

<response>-85, -40, -25, 27, 62</response>


input: Execute bubble sort to sort 95, -79, 49 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [95, -79, 49]

Pass 1:
  Compare 95 and -79
  Swap 95 and -79
  List after swap: [-79, 95, 49]
  Compare 95 and 49
  Swap 95 and 49
  List after swap: [-79, 49, 95]

Pass 2:
  Compare -79 and 49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, 49, 95]
</think>

<response>-79, 49, 95</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -79, 28, 14, 63.

output:
<think>
Initial list: [-79, 28, 14, 63]

Pass 1:
  Compare -79 and 28
  No swap needed
  Compare 28 and 14
  Swap 28 and 14
  List after swap: [-79, 14, 28, 63]
  Compare 28 and 63
  No swap needed

Pass 2:
  Compare -79 and 14
  No swap needed
  Compare 14 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, 14, 28, 63]
</think>

<response>-79, 14, 28, 63</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 18, -76, -60, 40, -91.

output:
<think>
Initial list: [18, -76, -60, 40, -91]

Pass 1:
  Compare 18 and -76
  Swap 18 and -76
  List after swap: [-76, 18, -60, 40, -91]
  Compare 18 and -60
  Swap 18 and -60
  List after swap: [-76, -60, 18, 40, -91]
  Compare 18 and 40
  No swap needed
  Compare 40 and -91
  Swap 40 and -91
  List after swap: [-76, -60, 18, -91, 40]

Pass 2:
  Compare -76 and -60
  No swap needed
  Compare -60 and 18
  No swap needed
  Compare 18 and -91
  Swap 18 and -91
  List after swap: [-76, -60, -91, 18, 40]

Pass 3:
  Compare -76 and -60
  No swap needed
  Compare -60 and -91
  Swap -60 and -91
  List after swap: [-76, -91, -60, 18, 40]

Pass 4:
  Compare -76 and -91
  Swap -76 and -91
  List after swap: [-91, -76, -60, 18, 40]

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

Final sorted list: [-91, -76, -60, 18, 40]
</think>

<response>-91, -76, -60, 18, 40</response>


input: Use the bubble sort technique to reorder 16, -19, 63, -21, 67, -35, -62, -37, -36 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [16, -19, 63, -21, 67, -35, -62, -37, -36]

Pass 1:
  Compare 16 and -19
  Swap 16 and -19
  List after swap: [-19, 16, 63, -21, 67, -35, -62, -37, -36]
  Compare 16 and 63
  No swap needed
  Compare 63 and -21
  Swap 63 and -21
  List after swap: [-19, 16, -21, 63, 67, -35, -62, -37, -36]
  Compare 63 and 67
  No swap needed
  Compare 67 and -35
  Swap 67 and -35
  List after swap: [-19, 16, -21, 63, -35, 67, -62, -37, -36]
  Compare 67 and -62
  Swap 67 and -62
  List after swap: [-19, 16, -21, 63, -35, -62, 67, -37, -36]
  Compare 67 and -37
  Swap 67 and -37
  List after swap: [-19, 16, -21, 63, -35, -62, -37, 67, -36]
  Compare 67 and -36
  Swap 67 and -36
  List after swap: [-19, 16, -21, 63, -35, -62, -37, -36, 67]

Pass 2:
  Compare -19 and 16
  No swap needed
  Compare 16 and -21
  Swap 16 and -21
  List after swap: [-19, -21, 16, 63, -35, -62, -37, -36, 67]
  Compare 16 and 63
  No swap needed
  Compare 63 and -35
  Swap 63 and -35
  List after swap: [-19, -21, 16, -35, 63, -62, -37, -36, 67]
  Compare 63 and -62
  Swap 63 and -62
  List after swap: [-19, -21, 16, -35, -62, 63, -37, -36, 67]
  Compare 63 and -37
  Swap 63 and -37
  List after swap: [-19, -21, 16, -35, -62, -37, 63, -36, 67]
  Compare 63 and -36
  Swap 63 and -36
  List after swap: [-19, -21, 16, -35, -62, -37, -36, 63, 67]

Pass 3:
  Compare -19 and -21
  Swap -19 and -21
  List after swap: [-21, -19, 16, -35, -62, -37, -36, 63, 67]
  Compare -19 and 16
  No swap needed
  Compare 16 and -35
  Swap 16 and -35
  List after swap: [-21, -19, -35, 16, -62, -37, -36, 63, 67]
  Compare 16 and -62
  Swap 16 and -62
  List after swap: [-21, -19, -35, -62, 16, -37, -36, 63, 67]
  Compare 16 and -37
  Swap 16 and -37
  List after swap: [-21, -19, -35, -62, -37, 16, -36, 63, 67]
  Compare 16 and -36
  Swap 16 and -36
  List after swap: [-21, -19, -35, -62, -37, -36, 16, 63, 67]

Pass 4:
  Compare -21 and -19
  No swap needed
  Compare -19 and -35
  Swap -19 and -35
  List after swap: [-21, -35, -19, -62, -37, -36, 16, 63, 67]
  Compare -19 and -62
  Swap -19 and -62
  List after swap: [-21, -35, -62, -19, -37, -36, 16, 63, 67]
  Compare -19 and -37
  Swap -19 and -37
  List after swap: [-21, -35, -62, -37, -19, -36, 16, 63, 67]
  Compare -19 and -36
  Swap -19 and -36
  List after swap: [-21, -35, -62, -37, -36, -19, 16, 63, 67]

Pass 5:
  Compare -21 and -35
  Swap -21 and -35
  List after swap: [-35, -21, -62, -37, -36, -19, 16, 63, 67]
  Compare -21 and -62
  Swap -21 and -62
  List after swap: [-35, -62, -21, -37, -36, -19, 16, 63, 67]
  Compare -21 and -37
  Swap -21 and -37
  List after swap: [-35, -62, -37, -21, -36, -19, 16, 63, 67]
  Compare -21 and -36
  Swap -21 and -36
  List after swap: [-35, -62, -37, -36, -21, -19, 16, 63, 67]

Pass 6:
  Compare -35 and -62
  Swap -35 and -62
  List after swap: [-62, -35, -37, -36, -21, -19, 16, 63, 67]
  Compare -35 and -37
  Swap -35 and -37
  List after swap: [-62, -37, -35, -36, -21, -19, 16, 63, 67]
  Compare -35 and -36
  Swap -35 and -36
  List after swap: [-62, -37, -36, -35, -21, -19, 16, 63, 67]

Pass 7:
  Compare -62 and -37
  No swap needed
  Compare -37 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -37, -36, -35, -21, -19, 16, 63, 67]
</think>

<response>-62, -37, -36, -35, -21, -19, 16, 63, 67</response>


input: Using the bubble sort method, sort -95, -97, -6, -22, 35, 44, 0 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-95, -97, -6, -22, 35, 44, 0]

Pass 1:
  Compare -95 and -97
  Swap -95 and -97
  List after swap: [-97, -95, -6, -22, 35, 44, 0]
  Compare -95 and -6
  No swap needed
  Compare -6 and -22
  Swap -6 and -22
  List after swap: [-97, -95, -22, -6, 35, 44, 0]
  Compare -6 and 35
  No swap needed
  Compare 35 and 44
  No swap needed
  Compare 44 and 0
  Swap 44 and 0
  List after swap: [-97, -95, -22, -6, 35, 0, 44]

Pass 2:
  Compare -97 and -95
  No swap needed
  Compare -95 and -22
  No swap needed
  Compare -22 and -6
  No swap needed
  Compare -6 and 35
  No swap needed
  Compare 35 and 0
  Swap 35 and 0
  List after swap: [-97, -95, -22, -6, 0, 35, 44]

Pass 3:
  Compare -97 and -95
  No swap needed
  Compare -95 and -22
  No swap needed
  Compare -22 and -6
  No swap needed
  Compare -6 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -95, -22, -6, 0, 35, 44]
</think>

<response>-97, -95, -22, -6, 0, 35, 44</response>


input: Use the bubble sort technique to reorder -91, -43, 95, -92, 98, 22, -84, 58, -41 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-91, -43, 95, -92, 98, 22, -84, 58, -41]

Pass 1:
  Compare -91 and -43
  No swap needed
  Compare -43 and 95
  No swap needed
  Compare 95 and -92
  Swap 95 and -92
  List after swap: [-91, -43, -92, 95, 98, 22, -84, 58, -41]
  Compare 95 and 98
  No swap needed
  Compare 98 and 22
  Swap 98 and 22
  List after swap: [-91, -43, -92, 95, 22, 98, -84, 58, -41]
  Compare 98 and -84
  Swap 98 and -84
  List after swap: [-91, -43, -92, 95, 22, -84, 98, 58, -41]
  Compare 98 and 58
  Swap 98 and 58
  List after swap: [-91, -43, -92, 95, 22, -84, 58, 98, -41]
  Compare 98 and -41
  Swap 98 and -41
  List after swap: [-91, -43, -92, 95, 22, -84, 58, -41, 98]

Pass 2:
  Compare -91 and -43
  No swap needed
  Compare -43 and -92
  Swap -43 and -92
  List after swap: [-91, -92, -43, 95, 22, -84, 58, -41, 98]
  Compare -43 and 95
  No swap needed
  Compare 95 and 22
  Swap 95 and 22
  List after swap: [-91, -92, -43, 22, 95, -84, 58, -41, 98]
  Compare 95 and -84
  Swap 95 and -84
  List after swap: [-91, -92, -43, 22, -84, 95, 58, -41, 98]
  Compare 95 and 58
  Swap 95 and 58
  List after swap: [-91, -92, -43, 22, -84, 58, 95, -41, 98]
  Compare 95 and -41
  Swap 95 and -41
  List after swap: [-91, -92, -43, 22, -84, 58, -41, 95, 98]

Pass 3:
  Compare -91 and -92
  Swap -91 and -92
  List after swap: [-92, -91, -43, 22, -84, 58, -41, 95, 98]
  Compare -91 and -43
  No swap needed
  Compare -43 and 22
  No swap needed
  Compare 22 and -84
  Swap 22 and -84
  List after swap: [-92, -91, -43, -84, 22, 58, -41, 95, 98]
  Compare 22 and 58
  No swap needed
  Compare 58 and -41
  Swap 58 and -41
  List after swap: [-92, -91, -43, -84, 22, -41, 58, 95, 98]

Pass 4:
  Compare -92 and -91
  No swap needed
  Compare -91 and -43
  No swap needed
  Compare -43 and -84
  Swap -43 and -84
  List after swap: [-92, -91, -84, -43, 22, -41, 58, 95, 98]
  Compare -43 and 22
  No swap needed
  Compare 22 and -41
  Swap 22 and -41
  List after swap: [-92, -91, -84, -43, -41, 22, 58, 95, 98]

Pass 5:
  Compare -92 and -91
  No swap needed
  Compare -91 and -84
  No swap needed
  Compare -84 and -43
  No swap needed
  Compare -43 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -91, -84, -43, -41, 22, 58, 95, 98]
</think>

<response>-92, -91, -84, -43, -41, 22, 58, 95, 98</response>


input: Arrange the numbers 18, -72, -63, -36, -93, -68, 25, -80 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [18, -72, -63, -36, -93, -68, 25, -80]

Pass 1:
  Compare 18 and -72
  Swap 18 and -72
  List after swap: [-72, 18, -63, -36, -93, -68, 25, -80]
  Compare 18 and -63
  Swap 18 and -63
  List after swap: [-72, -63, 18, -36, -93, -68, 25, -80]
  Compare 18 and -36
  Swap 18 and -36
  List after swap: [-72, -63, -36, 18, -93, -68, 25, -80]
  Compare 18 and -93
  Swap 18 and -93
  List after swap: [-72, -63, -36, -93, 18, -68, 25, -80]
  Compare 18 and -68
  Swap 18 and -68
  List after swap: [-72, -63, -36, -93, -68, 18, 25, -80]
  Compare 18 and 25
  No swap needed
  Compare 25 and -80
  Swap 25 and -80
  List after swap: [-72, -63, -36, -93, -68, 18, -80, 25]

Pass 2:
  Compare -72 and -63
  No swap needed
  Compare -63 and -36
  No swap needed
  Compare -36 and -93
  Swap -36 and -93
  List after swap: [-72, -63, -93, -36, -68, 18, -80, 25]
  Compare -36 and -68
  Swap -36 and -68
  List after swap: [-72, -63, -93, -68, -36, 18, -80, 25]
  Compare -36 and 18
  No swap needed
  Compare 18 and -80
  Swap 18 and -80
  List after swap: [-72, -63, -93, -68, -36, -80, 18, 25]

Pass 3:
  Compare -72 and -63
  No swap needed
  Compare -63 and -93
  Swap -63 and -93
  List after swap: [-72, -93, -63, -68, -36, -80, 18, 25]
  Compare -63 and -68
  Swap -63 and -68
  List after swap: [-72, -93, -68, -63, -36, -80, 18, 25]
  Compare -63 and -36
  No swap needed
  Compare -36 and -80
  Swap -36 and -80
  List after swap: [-72, -93, -68, -63, -80, -36, 18, 25]

Pass 4:
  Compare -72 and -93
  Swap -72 and -93
  List after swap: [-93, -72, -68, -63, -80, -36, 18, 25]
  Compare -72 and -68
  No swap needed
  Compare -68 and -63
  No swap needed
  Compare -63 and -80
  Swap -63 and -80
  List after swap: [-93, -72, -68, -80, -63, -36, 18, 25]

Pass 5:
  Compare -93 and -72
  No swap needed
  Compare -72 and -68
  No swap needed
  Compare -68 and -80
  Swap -68 and -80
  List after swap: [-93, -72, -80, -68, -63, -36, 18, 25]

Pass 6:
  Compare -93 and -72
  No swap needed
  Compare -72 and -80
  Swap -72 and -80
  List after swap: [-93, -80, -72, -68, -63, -36, 18, 25]

Pass 7:
  Compare -93 and -80
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -80, -72, -68, -63, -36, 18, 25]
</think>

<response>-93, -80, -72, -68, -63, -36, 18, 25</response>


input: Execute bubble sort to sort -94, 97, 27, -25, -81, 14, 66 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-94, 97, 27, -25, -81, 14, 66]

Pass 1:
  Compare -94 and 97
  No swap needed
  Compare 97 and 27
  Swap 97 and 27
  List after swap: [-94, 27, 97, -25, -81, 14, 66]
  Compare 97 and -25
  Swap 97 and -25
  List after swap: [-94, 27, -25, 97, -81, 14, 66]
  Compare 97 and -81
  Swap 97 and -81
  List after swap: [-94, 27, -25, -81, 97, 14, 66]
  Compare 97 and 14
  Swap 97 and 14
  List after swap: [-94, 27, -25, -81, 14, 97, 66]
  Compare 97 and 66
  Swap 97 and 66
  List after swap: [-94, 27, -25, -81, 14, 66, 97]

Pass 2:
  Compare -94 and 27
  No swap needed
  Compare 27 and -25
  Swap 27 and -25
  List after swap: [-94, -25, 27, -81, 14, 66, 97]
  Compare 27 and -81
  Swap 27 and -81
  List after swap: [-94, -25, -81, 27, 14, 66, 97]
  Compare 27 and 14
  Swap 27 and 14
  List after swap: [-94, -25, -81, 14, 27, 66, 97]
  Compare 27 and 66
  No swap needed

Pass 3:
  Compare -94 and -25
  No swap needed
  Compare -25 and -81
  Swap -25 and -81
  List after swap: [-94, -81, -25, 14, 27, 66, 97]
  Compare -25 and 14
  No swap needed
  Compare 14 and 27
  No swap needed

Pass 4:
  Compare -94 and -81
  No swap needed
  Compare -81 and -25
  No swap needed
  Compare -25 and 14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -81, -25, 14, 27, 66, 97]
</think>

<response>-94, -81, -25, 14, 27, 66, 97</response>


input: Execute bubble sort to sort 42, 44, 90, -16, -94, 85, 29, -58, 50 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [42, 44, 90, -16, -94, 85, 29, -58, 50]

Pass 1:
  Compare 42 and 44
  No swap needed
  Compare 44 and 90
  No swap needed
  Compare 90 and -16
  Swap 90 and -16
  List after swap: [42, 44, -16, 90, -94, 85, 29, -58, 50]
  Compare 90 and -94
  Swap 90 and -94
  List after swap: [42, 44, -16, -94, 90, 85, 29, -58, 50]
  Compare 90 and 85
  Swap 90 and 85
  List after swap: [42, 44, -16, -94, 85, 90, 29, -58, 50]
  Compare 90 and 29
  Swap 90 and 29
  List after swap: [42, 44, -16, -94, 85, 29, 90, -58, 50]
  Compare 90 and -58
  Swap 90 and -58
  List after swap: [42, 44, -16, -94, 85, 29, -58, 90, 50]
  Compare 90 and 50
  Swap 90 and 50
  List after swap: [42, 44, -16, -94, 85, 29, -58, 50, 90]

Pass 2:
  Compare 42 and 44
  No swap needed
  Compare 44 and -16
  Swap 44 and -16
  List after swap: [42, -16, 44, -94, 85, 29, -58, 50, 90]
  Compare 44 and -94
  Swap 44 and -94
  List after swap: [42, -16, -94, 44, 85, 29, -58, 50, 90]
  Compare 44 and 85
  No swap needed
  Compare 85 and 29
  Swap 85 and 29
  List after swap: [42, -16, -94, 44, 29, 85, -58, 50, 90]
  Compare 85 and -58
  Swap 85 and -58
  List after swap: [42, -16, -94, 44, 29, -58, 85, 50, 90]
  Compare 85 and 50
  Swap 85 and 50
  List after swap: [42, -16, -94, 44, 29, -58, 50, 85, 90]

Pass 3:
  Compare 42 and -16
  Swap 42 and -16
  List after swap: [-16, 42, -94, 44, 29, -58, 50, 85, 90]
  Compare 42 and -94
  Swap 42 and -94
  List after swap: [-16, -94, 42, 44, 29, -58, 50, 85, 90]
  Compare 42 and 44
  No swap needed
  Compare 44 and 29
  Swap 44 and 29
  List after swap: [-16, -94, 42, 29, 44, -58, 50, 85, 90]
  Compare 44 and -58
  Swap 44 and -58
  List after swap: [-16, -94, 42, 29, -58, 44, 50, 85, 90]
  Compare 44 and 50
  No swap needed

Pass 4:
  Compare -16 and -94
  Swap -16 and -94
  List after swap: [-94, -16, 42, 29, -58, 44, 50, 85, 90]
  Compare -16 and 42
  No swap needed
  Compare 42 and 29
  Swap 42 and 29
  List after swap: [-94, -16, 29, 42, -58, 44, 50, 85, 90]
  Compare 42 and -58
  Swap 42 and -58
  List after swap: [-94, -16, 29, -58, 42, 44, 50, 85, 90]
  Compare 42 and 44
  No swap needed

Pass 5:
  Compare -94 and -16
  No swap needed
  Compare -16 and 29
  No swap needed
  Compare 29 and -58
  Swap 29 and -58
  List after swap: [-94, -16, -58, 29, 42, 44, 50, 85, 90]
  Compare 29 and 42
  No swap needed

Pass 6:
  Compare -94 and -16
  No swap needed
  Compare -16 and -58
  Swap -16 and -58
  List after swap: [-94, -58, -16, 29, 42, 44, 50, 85, 90]
  Compare -16 and 29
  No swap needed

Pass 7:
  Compare -94 and -58
  No swap needed
  Compare -58 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -58, -16, 29, 42, 44, 50, 85, 90]
</think>

<response>-94, -58, -16, 29, 42, 44, 50, 85, 90</response>


input: Arrange the numbers -87, 68 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-87, 68]

Pass 1:
  Compare -87 and 68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, 68]
</think>

<response>-87, 68</response>


input: Demonstrate how bubble sort orders the integers -62, -37 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-62, -37]

Pass 1:
  Compare -62 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -37]
</think>

<response>-62, -37</response>