input: Using the bubble sort method, sort 58, 45, -88, 99, 95, -22, 65, 64 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [58, 45, -88, 99, 95, -22, 65, 64]

Pass 1:
  Compare 58 and 45
  Swap 58 and 45
  List after swap: [45, 58, -88, 99, 95, -22, 65, 64]
  Compare 58 and -88
  Swap 58 and -88
  List after swap: [45, -88, 58, 99, 95, -22, 65, 64]
  Compare 58 and 99
  No swap needed
  Compare 99 and 95
  Swap 99 and 95
  List after swap: [45, -88, 58, 95, 99, -22, 65, 64]
  Compare 99 and -22
  Swap 99 and -22
  List after swap: [45, -88, 58, 95, -22, 99, 65, 64]
  Compare 99 and 65
  Swap 99 and 65
  List after swap: [45, -88, 58, 95, -22, 65, 99, 64]
  Compare 99 and 64
  Swap 99 and 64
  List after swap: [45, -88, 58, 95, -22, 65, 64, 99]

Pass 2:
  Compare 45 and -88
  Swap 45 and -88
  List after swap: [-88, 45, 58, 95, -22, 65, 64, 99]
  Compare 45 and 58
  No swap needed
  Compare 58 and 95
  No swap needed
  Compare 95 and -22
  Swap 95 and -22
  List after swap: [-88, 45, 58, -22, 95, 65, 64, 99]
  Compare 95 and 65
  Swap 95 and 65
  List after swap: [-88, 45, 58, -22, 65, 95, 64, 99]
  Compare 95 and 64
  Swap 95 and 64
  List after swap: [-88, 45, 58, -22, 65, 64, 95, 99]

Pass 3:
  Compare -88 and 45
  No swap needed
  Compare 45 and 58
  No swap needed
  Compare 58 and -22
  Swap 58 and -22
  List after swap: [-88, 45, -22, 58, 65, 64, 95, 99]
  Compare 58 and 65
  No swap needed
  Compare 65 and 64
  Swap 65 and 64
  List after swap: [-88, 45, -22, 58, 64, 65, 95, 99]

Pass 4:
  Compare -88 and 45
  No swap needed
  Compare 45 and -22
  Swap 45 and -22
  List after swap: [-88, -22, 45, 58, 64, 65, 95, 99]
  Compare 45 and 58
  No swap needed
  Compare 58 and 64
  No swap needed

Pass 5:
  Compare -88 and -22
  No swap needed
  Compare -22 and 45
  No swap needed
  Compare 45 and 58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -22, 45, 58, 64, 65, 95, 99]
</think>

<response>-88, -22, 45, 58, 64, 65, 95, 99</response>


input: Perform a bubble sort on the integers 28, -47, 3, -6, 24, 42, -52, -42, -57, 49, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [28, -47, 3, -6, 24, 42, -52, -42, -57, 49]

Pass 1:
  Compare 28 and -47
  Swap 28 and -47
  List after swap: [-47, 28, 3, -6, 24, 42, -52, -42, -57, 49]
  Compare 28 and 3
  Swap 28 and 3
  List after swap: [-47, 3, 28, -6, 24, 42, -52, -42, -57, 49]
  Compare 28 and -6
  Swap 28 and -6
  List after swap: [-47, 3, -6, 28, 24, 42, -52, -42, -57, 49]
  Compare 28 and 24
  Swap 28 and 24
  List after swap: [-47, 3, -6, 24, 28, 42, -52, -42, -57, 49]
  Compare 28 and 42
  No swap needed
  Compare 42 and -52
  Swap 42 and -52
  List after swap: [-47, 3, -6, 24, 28, -52, 42, -42, -57, 49]
  Compare 42 and -42
  Swap 42 and -42
  List after swap: [-47, 3, -6, 24, 28, -52, -42, 42, -57, 49]
  Compare 42 and -57
  Swap 42 and -57
  List after swap: [-47, 3, -6, 24, 28, -52, -42, -57, 42, 49]
  Compare 42 and 49
  No swap needed

Pass 2:
  Compare -47 and 3
  No swap needed
  Compare 3 and -6
  Swap 3 and -6
  List after swap: [-47, -6, 3, 24, 28, -52, -42, -57, 42, 49]
  Compare 3 and 24
  No swap needed
  Compare 24 and 28
  No swap needed
  Compare 28 and -52
  Swap 28 and -52
  List after swap: [-47, -6, 3, 24, -52, 28, -42, -57, 42, 49]
  Compare 28 and -42
  Swap 28 and -42
  List after swap: [-47, -6, 3, 24, -52, -42, 28, -57, 42, 49]
  Compare 28 and -57
  Swap 28 and -57
  List after swap: [-47, -6, 3, 24, -52, -42, -57, 28, 42, 49]
  Compare 28 and 42
  No swap needed

Pass 3:
  Compare -47 and -6
  No swap needed
  Compare -6 and 3
  No swap needed
  Compare 3 and 24
  No swap needed
  Compare 24 and -52
  Swap 24 and -52
  List after swap: [-47, -6, 3, -52, 24, -42, -57, 28, 42, 49]
  Compare 24 and -42
  Swap 24 and -42
  List after swap: [-47, -6, 3, -52, -42, 24, -57, 28, 42, 49]
  Compare 24 and -57
  Swap 24 and -57
  List after swap: [-47, -6, 3, -52, -42, -57, 24, 28, 42, 49]
  Compare 24 and 28
  No swap needed

Pass 4:
  Compare -47 and -6
  No swap needed
  Compare -6 and 3
  No swap needed
  Compare 3 and -52
  Swap 3 and -52
  List after swap: [-47, -6, -52, 3, -42, -57, 24, 28, 42, 49]
  Compare 3 and -42
  Swap 3 and -42
  List after swap: [-47, -6, -52, -42, 3, -57, 24, 28, 42, 49]
  Compare 3 and -57
  Swap 3 and -57
  List after swap: [-47, -6, -52, -42, -57, 3, 24, 28, 42, 49]
  Compare 3 and 24
  No swap needed

Pass 5:
  Compare -47 and -6
  No swap needed
  Compare -6 and -52
  Swap -6 and -52
  List after swap: [-47, -52, -6, -42, -57, 3, 24, 28, 42, 49]
  Compare -6 and -42
  Swap -6 and -42
  List after swap: [-47, -52, -42, -6, -57, 3, 24, 28, 42, 49]
  Compare -6 and -57
  Swap -6 and -57
  List after swap: [-47, -52, -42, -57, -6, 3, 24, 28, 42, 49]
  Compare -6 and 3
  No swap needed

Pass 6:
  Compare -47 and -52
  Swap -47 and -52
  List after swap: [-52, -47, -42, -57, -6, 3, 24, 28, 42, 49]
  Compare -47 and -42
  No swap needed
  Compare -42 and -57
  Swap -42 and -57
  List after swap: [-52, -47, -57, -42, -6, 3, 24, 28, 42, 49]
  Compare -42 and -6
  No swap needed

Pass 7:
  Compare -52 and -47
  No swap needed
  Compare -47 and -57
  Swap -47 and -57
  List after swap: [-52, -57, -47, -42, -6, 3, 24, 28, 42, 49]
  Compare -47 and -42
  No swap needed

Pass 8:
  Compare -52 and -57
  Swap -52 and -57
  List after swap: [-57, -52, -47, -42, -6, 3, 24, 28, 42, 49]
  Compare -52 and -47
  No swap needed

Pass 9:
  Compare -57 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -52, -47, -42, -6, 3, 24, 28, 42, 49]
</think>

<response>-57, -52, -47, -42, -6, 3, 24, 28, 42, 49</response>


input: Perform a bubble sort on the integers 7, 47, 37, -51, 53, 39, -99, -76, -72, 90, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [7, 47, 37, -51, 53, 39, -99, -76, -72, 90]

Pass 1:
  Compare 7 and 47
  No swap needed
  Compare 47 and 37
  Swap 47 and 37
  List after swap: [7, 37, 47, -51, 53, 39, -99, -76, -72, 90]
  Compare 47 and -51
  Swap 47 and -51
  List after swap: [7, 37, -51, 47, 53, 39, -99, -76, -72, 90]
  Compare 47 and 53
  No swap needed
  Compare 53 and 39
  Swap 53 and 39
  List after swap: [7, 37, -51, 47, 39, 53, -99, -76, -72, 90]
  Compare 53 and -99
  Swap 53 and -99
  List after swap: [7, 37, -51, 47, 39, -99, 53, -76, -72, 90]
  Compare 53 and -76
  Swap 53 and -76
  List after swap: [7, 37, -51, 47, 39, -99, -76, 53, -72, 90]
  Compare 53 and -72
  Swap 53 and -72
  List after swap: [7, 37, -51, 47, 39, -99, -76, -72, 53, 90]
  Compare 53 and 90
  No swap needed

Pass 2:
  Compare 7 and 37
  No swap needed
  Compare 37 and -51
  Swap 37 and -51
  List after swap: [7, -51, 37, 47, 39, -99, -76, -72, 53, 90]
  Compare 37 and 47
  No swap needed
  Compare 47 and 39
  Swap 47 and 39
  List after swap: [7, -51, 37, 39, 47, -99, -76, -72, 53, 90]
  Compare 47 and -99
  Swap 47 and -99
  List after swap: [7, -51, 37, 39, -99, 47, -76, -72, 53, 90]
  Compare 47 and -76
  Swap 47 and -76
  List after swap: [7, -51, 37, 39, -99, -76, 47, -72, 53, 90]
  Compare 47 and -72
  Swap 47 and -72
  List after swap: [7, -51, 37, 39, -99, -76, -72, 47, 53, 90]
  Compare 47 and 53
  No swap needed

Pass 3:
  Compare 7 and -51
  Swap 7 and -51
  List after swap: [-51, 7, 37, 39, -99, -76, -72, 47, 53, 90]
  Compare 7 and 37
  No swap needed
  Compare 37 and 39
  No swap needed
  Compare 39 and -99
  Swap 39 and -99
  List after swap: [-51, 7, 37, -99, 39, -76, -72, 47, 53, 90]
  Compare 39 and -76
  Swap 39 and -76
  List after swap: [-51, 7, 37, -99, -76, 39, -72, 47, 53, 90]
  Compare 39 and -72
  Swap 39 and -72
  List after swap: [-51, 7, 37, -99, -76, -72, 39, 47, 53, 90]
  Compare 39 and 47
  No swap needed

Pass 4:
  Compare -51 and 7
  No swap needed
  Compare 7 and 37
  No swap needed
  Compare 37 and -99
  Swap 37 and -99
  List after swap: [-51, 7, -99, 37, -76, -72, 39, 47, 53, 90]
  Compare 37 and -76
  Swap 37 and -76
  List after swap: [-51, 7, -99, -76, 37, -72, 39, 47, 53, 90]
  Compare 37 and -72
  Swap 37 and -72
  List after swap: [-51, 7, -99, -76, -72, 37, 39, 47, 53, 90]
  Compare 37 and 39
  No swap needed

Pass 5:
  Compare -51 and 7
  No swap needed
  Compare 7 and -99
  Swap 7 and -99
  List after swap: [-51, -99, 7, -76, -72, 37, 39, 47, 53, 90]
  Compare 7 and -76
  Swap 7 and -76
  List after swap: [-51, -99, -76, 7, -72, 37, 39, 47, 53, 90]
  Compare 7 and -72
  Swap 7 and -72
  List after swap: [-51, -99, -76, -72, 7, 37, 39, 47, 53, 90]
  Compare 7 and 37
  No swap needed

Pass 6:
  Compare -51 and -99
  Swap -51 and -99
  List after swap: [-99, -51, -76, -72, 7, 37, 39, 47, 53, 90]
  Compare -51 and -76
  Swap -51 and -76
  List after swap: [-99, -76, -51, -72, 7, 37, 39, 47, 53, 90]
  Compare -51 and -72
  Swap -51 and -72
  List after swap: [-99, -76, -72, -51, 7, 37, 39, 47, 53, 90]
  Compare -51 and 7
  No swap needed

Pass 7:
  Compare -99 and -76
  No swap needed
  Compare -76 and -72
  No swap needed
  Compare -72 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -76, -72, -51, 7, 37, 39, 47, 53, 90]
</think>

<response>-99, -76, -72, -51, 7, 37, 39, 47, 53, 90</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -94, 93, -35, -98, 2, 40, 82, -85, 98.

output:
<think>
Initial list: [-94, 93, -35, -98, 2, 40, 82, -85, 98]

Pass 1:
  Compare -94 and 93
  No swap needed
  Compare 93 and -35
  Swap 93 and -35
  List after swap: [-94, -35, 93, -98, 2, 40, 82, -85, 98]
  Compare 93 and -98
  Swap 93 and -98
  List after swap: [-94, -35, -98, 93, 2, 40, 82, -85, 98]
  Compare 93 and 2
  Swap 93 and 2
  List after swap: [-94, -35, -98, 2, 93, 40, 82, -85, 98]
  Compare 93 and 40
  Swap 93 and 40
  List after swap: [-94, -35, -98, 2, 40, 93, 82, -85, 98]
  Compare 93 and 82
  Swap 93 and 82
  List after swap: [-94, -35, -98, 2, 40, 82, 93, -85, 98]
  Compare 93 and -85
  Swap 93 and -85
  List after swap: [-94, -35, -98, 2, 40, 82, -85, 93, 98]
  Compare 93 and 98
  No swap needed

Pass 2:
  Compare -94 and -35
  No swap needed
  Compare -35 and -98
  Swap -35 and -98
  List after swap: [-94, -98, -35, 2, 40, 82, -85, 93, 98]
  Compare -35 and 2
  No swap needed
  Compare 2 and 40
  No swap needed
  Compare 40 and 82
  No swap needed
  Compare 82 and -85
  Swap 82 and -85
  List after swap: [-94, -98, -35, 2, 40, -85, 82, 93, 98]
  Compare 82 and 93
  No swap needed

Pass 3:
  Compare -94 and -98
  Swap -94 and -98
  List after swap: [-98, -94, -35, 2, 40, -85, 82, 93, 98]
  Compare -94 and -35
  No swap needed
  Compare -35 and 2
  No swap needed
  Compare 2 and 40
  No swap needed
  Compare 40 and -85
  Swap 40 and -85
  List after swap: [-98, -94, -35, 2, -85, 40, 82, 93, 98]
  Compare 40 and 82
  No swap needed

Pass 4:
  Compare -98 and -94
  No swap needed
  Compare -94 and -35
  No swap needed
  Compare -35 and 2
  No swap needed
  Compare 2 and -85
  Swap 2 and -85
  List after swap: [-98, -94, -35, -85, 2, 40, 82, 93, 98]
  Compare 2 and 40
  No swap needed

Pass 5:
  Compare -98 and -94
  No swap needed
  Compare -94 and -35
  No swap needed
  Compare -35 and -85
  Swap -35 and -85
  List after swap: [-98, -94, -85, -35, 2, 40, 82, 93, 98]
  Compare -35 and 2
  No swap needed

Pass 6:
  Compare -98 and -94
  No swap needed
  Compare -94 and -85
  No swap needed
  Compare -85 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -94, -85, -35, 2, 40, 82, 93, 98]
</think>

<response>-98, -94, -85, -35, 2, 40, 82, 93, 98</response>


input: Sort these integers 0, 39, 77, -65 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [0, 39, 77, -65]

Pass 1:
  Compare 0 and 39
  No swap needed
  Compare 39 and 77
  No swap needed
  Compare 77 and -65
  Swap 77 and -65
  List after swap: [0, 39, -65, 77]

Pass 2:
  Compare 0 and 39
  No swap needed
  Compare 39 and -65
  Swap 39 and -65
  List after swap: [0, -65, 39, 77]

Pass 3:
  Compare 0 and -65
  Swap 0 and -65
  List after swap: [-65, 0, 39, 77]

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

Final sorted list: [-65, 0, 39, 77]
</think>

<response>-65, 0, 39, 77</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 32, -86, -95, -46, -10, 73, 25, 57, 17, -20.

output:
<think>
Initial list: [32, -86, -95, -46, -10, 73, 25, 57, 17, -20]

Pass 1:
  Compare 32 and -86
  Swap 32 and -86
  List after swap: [-86, 32, -95, -46, -10, 73, 25, 57, 17, -20]
  Compare 32 and -95
  Swap 32 and -95
  List after swap: [-86, -95, 32, -46, -10, 73, 25, 57, 17, -20]
  Compare 32 and -46
  Swap 32 and -46
  List after swap: [-86, -95, -46, 32, -10, 73, 25, 57, 17, -20]
  Compare 32 and -10
  Swap 32 and -10
  List after swap: [-86, -95, -46, -10, 32, 73, 25, 57, 17, -20]
  Compare 32 and 73
  No swap needed
  Compare 73 and 25
  Swap 73 and 25
  List after swap: [-86, -95, -46, -10, 32, 25, 73, 57, 17, -20]
  Compare 73 and 57
  Swap 73 and 57
  List after swap: [-86, -95, -46, -10, 32, 25, 57, 73, 17, -20]
  Compare 73 and 17
  Swap 73 and 17
  List after swap: [-86, -95, -46, -10, 32, 25, 57, 17, 73, -20]
  Compare 73 and -20
  Swap 73 and -20
  List after swap: [-86, -95, -46, -10, 32, 25, 57, 17, -20, 73]

Pass 2:
  Compare -86 and -95
  Swap -86 and -95
  List after swap: [-95, -86, -46, -10, 32, 25, 57, 17, -20, 73]
  Compare -86 and -46
  No swap needed
  Compare -46 and -10
  No swap needed
  Compare -10 and 32
  No swap needed
  Compare 32 and 25
  Swap 32 and 25
  List after swap: [-95, -86, -46, -10, 25, 32, 57, 17, -20, 73]
  Compare 32 and 57
  No swap needed
  Compare 57 and 17
  Swap 57 and 17
  List after swap: [-95, -86, -46, -10, 25, 32, 17, 57, -20, 73]
  Compare 57 and -20
  Swap 57 and -20
  List after swap: [-95, -86, -46, -10, 25, 32, 17, -20, 57, 73]

Pass 3:
  Compare -95 and -86
  No swap needed
  Compare -86 and -46
  No swap needed
  Compare -46 and -10
  No swap needed
  Compare -10 and 25
  No swap needed
  Compare 25 and 32
  No swap needed
  Compare 32 and 17
  Swap 32 and 17
  List after swap: [-95, -86, -46, -10, 25, 17, 32, -20, 57, 73]
  Compare 32 and -20
  Swap 32 and -20
  List after swap: [-95, -86, -46, -10, 25, 17, -20, 32, 57, 73]

Pass 4:
  Compare -95 and -86
  No swap needed
  Compare -86 and -46
  No swap needed
  Compare -46 and -10
  No swap needed
  Compare -10 and 25
  No swap needed
  Compare 25 and 17
  Swap 25 and 17
  List after swap: [-95, -86, -46, -10, 17, 25, -20, 32, 57, 73]
  Compare 25 and -20
  Swap 25 and -20
  List after swap: [-95, -86, -46, -10, 17, -20, 25, 32, 57, 73]

Pass 5:
  Compare -95 and -86
  No swap needed
  Compare -86 and -46
  No swap needed
  Compare -46 and -10
  No swap needed
  Compare -10 and 17
  No swap needed
  Compare 17 and -20
  Swap 17 and -20
  List after swap: [-95, -86, -46, -10, -20, 17, 25, 32, 57, 73]

Pass 6:
  Compare -95 and -86
  No swap needed
  Compare -86 and -46
  No swap needed
  Compare -46 and -10
  No swap needed
  Compare -10 and -20
  Swap -10 and -20
  List after swap: [-95, -86, -46, -20, -10, 17, 25, 32, 57, 73]

Pass 7:
  Compare -95 and -86
  No swap needed
  Compare -86 and -46
  No swap needed
  Compare -46 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -86, -46, -20, -10, 17, 25, 32, 57, 73]
</think>

<response>-95, -86, -46, -20, -10, 17, 25, 32, 57, 73</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -83, -91, 1, 14.

output:
<think>
Initial list: [-83, -91, 1, 14]

Pass 1:
  Compare -83 and -91
  Swap -83 and -91
  List after swap: [-91, -83, 1, 14]
  Compare -83 and 1
  No swap needed
  Compare 1 and 14
  No swap needed

Pass 2:
  Compare -91 and -83
  No swap needed
  Compare -83 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -83, 1, 14]
</think>

<response>-91, -83, 1, 14</response>


input: Use the bubble sort technique to reorder 19, -94, -23, 80 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [19, -94, -23, 80]

Pass 1:
  Compare 19 and -94
  Swap 19 and -94
  List after swap: [-94, 19, -23, 80]
  Compare 19 and -23
  Swap 19 and -23
  List after swap: [-94, -23, 19, 80]
  Compare 19 and 80
  No swap needed

Pass 2:
  Compare -94 and -23
  No swap needed
  Compare -23 and 19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -23, 19, 80]
</think>

<response>-94, -23, 19, 80</response>


input: Using the bubble sort method, sort 37, -79, 75 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [37, -79, 75]

Pass 1:
  Compare 37 and -79
  Swap 37 and -79
  List after swap: [-79, 37, 75]
  Compare 37 and 75
  No swap needed

Pass 2:
  Compare -79 and 37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, 37, 75]
</think>

<response>-79, 37, 75</response>


input: Using the bubble sort method, sort -3, -13, -50, -80, 73, 90, -17 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-3, -13, -50, -80, 73, 90, -17]

Pass 1:
  Compare -3 and -13
  Swap -3 and -13
  List after swap: [-13, -3, -50, -80, 73, 90, -17]
  Compare -3 and -50
  Swap -3 and -50
  List after swap: [-13, -50, -3, -80, 73, 90, -17]
  Compare -3 and -80
  Swap -3 and -80
  List after swap: [-13, -50, -80, -3, 73, 90, -17]
  Compare -3 and 73
  No swap needed
  Compare 73 and 90
  No swap needed
  Compare 90 and -17
  Swap 90 and -17
  List after swap: [-13, -50, -80, -3, 73, -17, 90]

Pass 2:
  Compare -13 and -50
  Swap -13 and -50
  List after swap: [-50, -13, -80, -3, 73, -17, 90]
  Compare -13 and -80
  Swap -13 and -80
  List after swap: [-50, -80, -13, -3, 73, -17, 90]
  Compare -13 and -3
  No swap needed
  Compare -3 and 73
  No swap needed
  Compare 73 and -17
  Swap 73 and -17
  List after swap: [-50, -80, -13, -3, -17, 73, 90]

Pass 3:
  Compare -50 and -80
  Swap -50 and -80
  List after swap: [-80, -50, -13, -3, -17, 73, 90]
  Compare -50 and -13
  No swap needed
  Compare -13 and -3
  No swap needed
  Compare -3 and -17
  Swap -3 and -17
  List after swap: [-80, -50, -13, -17, -3, 73, 90]

Pass 4:
  Compare -80 and -50
  No swap needed
  Compare -50 and -13
  No swap needed
  Compare -13 and -17
  Swap -13 and -17
  List after swap: [-80, -50, -17, -13, -3, 73, 90]

Pass 5:
  Compare -80 and -50
  No swap needed
  Compare -50 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -50, -17, -13, -3, 73, 90]
</think>

<response>-80, -50, -17, -13, -3, 73, 90</response>


input: Arrange the numbers -59, 35 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-59, 35]

Pass 1:
  Compare -59 and 35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, 35]
</think>

<response>-59, 35</response>


input: Use the bubble sort technique to reorder -61, 17, 61, 99 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-61, 17, 61, 99]

Pass 1:
  Compare -61 and 17
  No swap needed
  Compare 17 and 61
  No swap needed
  Compare 61 and 99
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, 17, 61, 99]
</think>

<response>-61, 17, 61, 99</response>


input: Carry out the bubble sort algorithm on -76, -10, -88, -32 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-76, -10, -88, -32]

Pass 1:
  Compare -76 and -10
  No swap needed
  Compare -10 and -88
  Swap -10 and -88
  List after swap: [-76, -88, -10, -32]
  Compare -10 and -32
  Swap -10 and -32
  List after swap: [-76, -88, -32, -10]

Pass 2:
  Compare -76 and -88
  Swap -76 and -88
  List after swap: [-88, -76, -32, -10]
  Compare -76 and -32
  No swap needed

Pass 3:
  Compare -88 and -76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -76, -32, -10]
</think>

<response>-88, -76, -32, -10</response>


input: Arrange the numbers -80, 36, 11 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-80, 36, 11]

Pass 1:
  Compare -80 and 36
  No swap needed
  Compare 36 and 11
  Swap 36 and 11
  List after swap: [-80, 11, 36]

Pass 2:
  Compare -80 and 11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, 11, 36]
</think>

<response>-80, 11, 36</response>


input: Using the bubble sort method, sort -31, 18, -55, -84, -66, 56 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-31, 18, -55, -84, -66, 56]

Pass 1:
  Compare -31 and 18
  No swap needed
  Compare 18 and -55
  Swap 18 and -55
  List after swap: [-31, -55, 18, -84, -66, 56]
  Compare 18 and -84
  Swap 18 and -84
  List after swap: [-31, -55, -84, 18, -66, 56]
  Compare 18 and -66
  Swap 18 and -66
  List after swap: [-31, -55, -84, -66, 18, 56]
  Compare 18 and 56
  No swap needed

Pass 2:
  Compare -31 and -55
  Swap -31 and -55
  List after swap: [-55, -31, -84, -66, 18, 56]
  Compare -31 and -84
  Swap -31 and -84
  List after swap: [-55, -84, -31, -66, 18, 56]
  Compare -31 and -66
  Swap -31 and -66
  List after swap: [-55, -84, -66, -31, 18, 56]
  Compare -31 and 18
  No swap needed

Pass 3:
  Compare -55 and -84
  Swap -55 and -84
  List after swap: [-84, -55, -66, -31, 18, 56]
  Compare -55 and -66
  Swap -55 and -66
  List after swap: [-84, -66, -55, -31, 18, 56]
  Compare -55 and -31
  No swap needed

Pass 4:
  Compare -84 and -66
  No swap needed
  Compare -66 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -66, -55, -31, 18, 56]
</think>

<response>-84, -66, -55, -31, 18, 56</response>


input: Arrange the numbers 25, -14, -39, 75, -63 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [25, -14, -39, 75, -63]

Pass 1:
  Compare 25 and -14
  Swap 25 and -14
  List after swap: [-14, 25, -39, 75, -63]
  Compare 25 and -39
  Swap 25 and -39
  List after swap: [-14, -39, 25, 75, -63]
  Compare 25 and 75
  No swap needed
  Compare 75 and -63
  Swap 75 and -63
  List after swap: [-14, -39, 25, -63, 75]

Pass 2:
  Compare -14 and -39
  Swap -14 and -39
  List after swap: [-39, -14, 25, -63, 75]
  Compare -14 and 25
  No swap needed
  Compare 25 and -63
  Swap 25 and -63
  List after swap: [-39, -14, -63, 25, 75]

Pass 3:
  Compare -39 and -14
  No swap needed
  Compare -14 and -63
  Swap -14 and -63
  List after swap: [-39, -63, -14, 25, 75]

Pass 4:
  Compare -39 and -63
  Swap -39 and -63
  List after swap: [-63, -39, -14, 25, 75]

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

Final sorted list: [-63, -39, -14, 25, 75]
</think>

<response>-63, -39, -14, 25, 75</response>


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

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

Pass 1:
  Compare 58 and 55
  Swap 58 and 55
  List after swap: [55, 58]

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

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

<response>55, 58</response>


input: Carry out the bubble sort algorithm on 63, 81, -25, 69, -15, 14, -87, -69 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [63, 81, -25, 69, -15, 14, -87, -69]

Pass 1:
  Compare 63 and 81
  No swap needed
  Compare 81 and -25
  Swap 81 and -25
  List after swap: [63, -25, 81, 69, -15, 14, -87, -69]
  Compare 81 and 69
  Swap 81 and 69
  List after swap: [63, -25, 69, 81, -15, 14, -87, -69]
  Compare 81 and -15
  Swap 81 and -15
  List after swap: [63, -25, 69, -15, 81, 14, -87, -69]
  Compare 81 and 14
  Swap 81 and 14
  List after swap: [63, -25, 69, -15, 14, 81, -87, -69]
  Compare 81 and -87
  Swap 81 and -87
  List after swap: [63, -25, 69, -15, 14, -87, 81, -69]
  Compare 81 and -69
  Swap 81 and -69
  List after swap: [63, -25, 69, -15, 14, -87, -69, 81]

Pass 2:
  Compare 63 and -25
  Swap 63 and -25
  List after swap: [-25, 63, 69, -15, 14, -87, -69, 81]
  Compare 63 and 69
  No swap needed
  Compare 69 and -15
  Swap 69 and -15
  List after swap: [-25, 63, -15, 69, 14, -87, -69, 81]
  Compare 69 and 14
  Swap 69 and 14
  List after swap: [-25, 63, -15, 14, 69, -87, -69, 81]
  Compare 69 and -87
  Swap 69 and -87
  List after swap: [-25, 63, -15, 14, -87, 69, -69, 81]
  Compare 69 and -69
  Swap 69 and -69
  List after swap: [-25, 63, -15, 14, -87, -69, 69, 81]

Pass 3:
  Compare -25 and 63
  No swap needed
  Compare 63 and -15
  Swap 63 and -15
  List after swap: [-25, -15, 63, 14, -87, -69, 69, 81]
  Compare 63 and 14
  Swap 63 and 14
  List after swap: [-25, -15, 14, 63, -87, -69, 69, 81]
  Compare 63 and -87
  Swap 63 and -87
  List after swap: [-25, -15, 14, -87, 63, -69, 69, 81]
  Compare 63 and -69
  Swap 63 and -69
  List after swap: [-25, -15, 14, -87, -69, 63, 69, 81]

Pass 4:
  Compare -25 and -15
  No swap needed
  Compare -15 and 14
  No swap needed
  Compare 14 and -87
  Swap 14 and -87
  List after swap: [-25, -15, -87, 14, -69, 63, 69, 81]
  Compare 14 and -69
  Swap 14 and -69
  List after swap: [-25, -15, -87, -69, 14, 63, 69, 81]

Pass 5:
  Compare -25 and -15
  No swap needed
  Compare -15 and -87
  Swap -15 and -87
  List after swap: [-25, -87, -15, -69, 14, 63, 69, 81]
  Compare -15 and -69
  Swap -15 and -69
  List after swap: [-25, -87, -69, -15, 14, 63, 69, 81]

Pass 6:
  Compare -25 and -87
  Swap -25 and -87
  List after swap: [-87, -25, -69, -15, 14, 63, 69, 81]
  Compare -25 and -69
  Swap -25 and -69
  List after swap: [-87, -69, -25, -15, 14, 63, 69, 81]

Pass 7:
  Compare -87 and -69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -69, -25, -15, 14, 63, 69, 81]
</think>

<response>-87, -69, -25, -15, 14, 63, 69, 81</response>


input: Arrange the numbers -58, -36, 27 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-58, -36, 27]

Pass 1:
  Compare -58 and -36
  No swap needed
  Compare -36 and 27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -36, 27]
</think>

<response>-58, -36, 27</response>


input: Perform a bubble sort on the integers -39, -50, -48, -37, -65, 5, -69, -85, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-39, -50, -48, -37, -65, 5, -69, -85]

Pass 1:
  Compare -39 and -50
  Swap -39 and -50
  List after swap: [-50, -39, -48, -37, -65, 5, -69, -85]
  Compare -39 and -48
  Swap -39 and -48
  List after swap: [-50, -48, -39, -37, -65, 5, -69, -85]
  Compare -39 and -37
  No swap needed
  Compare -37 and -65
  Swap -37 and -65
  List after swap: [-50, -48, -39, -65, -37, 5, -69, -85]
  Compare -37 and 5
  No swap needed
  Compare 5 and -69
  Swap 5 and -69
  List after swap: [-50, -48, -39, -65, -37, -69, 5, -85]
  Compare 5 and -85
  Swap 5 and -85
  List after swap: [-50, -48, -39, -65, -37, -69, -85, 5]

Pass 2:
  Compare -50 and -48
  No swap needed
  Compare -48 and -39
  No swap needed
  Compare -39 and -65
  Swap -39 and -65
  List after swap: [-50, -48, -65, -39, -37, -69, -85, 5]
  Compare -39 and -37
  No swap needed
  Compare -37 and -69
  Swap -37 and -69
  List after swap: [-50, -48, -65, -39, -69, -37, -85, 5]
  Compare -37 and -85
  Swap -37 and -85
  List after swap: [-50, -48, -65, -39, -69, -85, -37, 5]

Pass 3:
  Compare -50 and -48
  No swap needed
  Compare -48 and -65
  Swap -48 and -65
  List after swap: [-50, -65, -48, -39, -69, -85, -37, 5]
  Compare -48 and -39
  No swap needed
  Compare -39 and -69
  Swap -39 and -69
  List after swap: [-50, -65, -48, -69, -39, -85, -37, 5]
  Compare -39 and -85
  Swap -39 and -85
  List after swap: [-50, -65, -48, -69, -85, -39, -37, 5]

Pass 4:
  Compare -50 and -65
  Swap -50 and -65
  List after swap: [-65, -50, -48, -69, -85, -39, -37, 5]
  Compare -50 and -48
  No swap needed
  Compare -48 and -69
  Swap -48 and -69
  List after swap: [-65, -50, -69, -48, -85, -39, -37, 5]
  Compare -48 and -85
  Swap -48 and -85
  List after swap: [-65, -50, -69, -85, -48, -39, -37, 5]

Pass 5:
  Compare -65 and -50
  No swap needed
  Compare -50 and -69
  Swap -50 and -69
  List after swap: [-65, -69, -50, -85, -48, -39, -37, 5]
  Compare -50 and -85
  Swap -50 and -85
  List after swap: [-65, -69, -85, -50, -48, -39, -37, 5]

Pass 6:
  Compare -65 and -69
  Swap -65 and -69
  List after swap: [-69, -65, -85, -50, -48, -39, -37, 5]
  Compare -65 and -85
  Swap -65 and -85
  List after swap: [-69, -85, -65, -50, -48, -39, -37, 5]

Pass 7:
  Compare -69 and -85
  Swap -69 and -85
  List after swap: [-85, -69, -65, -50, -48, -39, -37, 5]

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

Final sorted list: [-85, -69, -65, -50, -48, -39, -37, 5]
</think>

<response>-85, -69, -65, -50, -48, -39, -37, 5</response>


input: Arrange the numbers -90, -36, 0, 81 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-90, -36, 0, 81]

Pass 1:
  Compare -90 and -36
  No swap needed
  Compare -36 and 0
  No swap needed
  Compare 0 and 81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -36, 0, 81]
</think>

<response>-90, -36, 0, 81</response>


input: Execute bubble sort to sort -47, -72, -71, 75, 56, -16, 45, -37, 16, -90 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-47, -72, -71, 75, 56, -16, 45, -37, 16, -90]

Pass 1:
  Compare -47 and -72
  Swap -47 and -72
  List after swap: [-72, -47, -71, 75, 56, -16, 45, -37, 16, -90]
  Compare -47 and -71
  Swap -47 and -71
  List after swap: [-72, -71, -47, 75, 56, -16, 45, -37, 16, -90]
  Compare -47 and 75
  No swap needed
  Compare 75 and 56
  Swap 75 and 56
  List after swap: [-72, -71, -47, 56, 75, -16, 45, -37, 16, -90]
  Compare 75 and -16
  Swap 75 and -16
  List after swap: [-72, -71, -47, 56, -16, 75, 45, -37, 16, -90]
  Compare 75 and 45
  Swap 75 and 45
  List after swap: [-72, -71, -47, 56, -16, 45, 75, -37, 16, -90]
  Compare 75 and -37
  Swap 75 and -37
  List after swap: [-72, -71, -47, 56, -16, 45, -37, 75, 16, -90]
  Compare 75 and 16
  Swap 75 and 16
  List after swap: [-72, -71, -47, 56, -16, 45, -37, 16, 75, -90]
  Compare 75 and -90
  Swap 75 and -90
  List after swap: [-72, -71, -47, 56, -16, 45, -37, 16, -90, 75]

Pass 2:
  Compare -72 and -71
  No swap needed
  Compare -71 and -47
  No swap needed
  Compare -47 and 56
  No swap needed
  Compare 56 and -16
  Swap 56 and -16
  List after swap: [-72, -71, -47, -16, 56, 45, -37, 16, -90, 75]
  Compare 56 and 45
  Swap 56 and 45
  List after swap: [-72, -71, -47, -16, 45, 56, -37, 16, -90, 75]
  Compare 56 and -37
  Swap 56 and -37
  List after swap: [-72, -71, -47, -16, 45, -37, 56, 16, -90, 75]
  Compare 56 and 16
  Swap 56 and 16
  List after swap: [-72, -71, -47, -16, 45, -37, 16, 56, -90, 75]
  Compare 56 and -90
  Swap 56 and -90
  List after swap: [-72, -71, -47, -16, 45, -37, 16, -90, 56, 75]

Pass 3:
  Compare -72 and -71
  No swap needed
  Compare -71 and -47
  No swap needed
  Compare -47 and -16
  No swap needed
  Compare -16 and 45
  No swap needed
  Compare 45 and -37
  Swap 45 and -37
  List after swap: [-72, -71, -47, -16, -37, 45, 16, -90, 56, 75]
  Compare 45 and 16
  Swap 45 and 16
  List after swap: [-72, -71, -47, -16, -37, 16, 45, -90, 56, 75]
  Compare 45 and -90
  Swap 45 and -90
  List after swap: [-72, -71, -47, -16, -37, 16, -90, 45, 56, 75]

Pass 4:
  Compare -72 and -71
  No swap needed
  Compare -71 and -47
  No swap needed
  Compare -47 and -16
  No swap needed
  Compare -16 and -37
  Swap -16 and -37
  List after swap: [-72, -71, -47, -37, -16, 16, -90, 45, 56, 75]
  Compare -16 and 16
  No swap needed
  Compare 16 and -90
  Swap 16 and -90
  List after swap: [-72, -71, -47, -37, -16, -90, 16, 45, 56, 75]

Pass 5:
  Compare -72 and -71
  No swap needed
  Compare -71 and -47
  No swap needed
  Compare -47 and -37
  No swap needed
  Compare -37 and -16
  No swap needed
  Compare -16 and -90
  Swap -16 and -90
  List after swap: [-72, -71, -47, -37, -90, -16, 16, 45, 56, 75]

Pass 6:
  Compare -72 and -71
  No swap needed
  Compare -71 and -47
  No swap needed
  Compare -47 and -37
  No swap needed
  Compare -37 and -90
  Swap -37 and -90
  List after swap: [-72, -71, -47, -90, -37, -16, 16, 45, 56, 75]

Pass 7:
  Compare -72 and -71
  No swap needed
  Compare -71 and -47
  No swap needed
  Compare -47 and -90
  Swap -47 and -90
  List after swap: [-72, -71, -90, -47, -37, -16, 16, 45, 56, 75]

Pass 8:
  Compare -72 and -71
  No swap needed
  Compare -71 and -90
  Swap -71 and -90
  List after swap: [-72, -90, -71, -47, -37, -16, 16, 45, 56, 75]

Pass 9:
  Compare -72 and -90
  Swap -72 and -90
  List after swap: [-90, -72, -71, -47, -37, -16, 16, 45, 56, 75]

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

Final sorted list: [-90, -72, -71, -47, -37, -16, 16, 45, 56, 75]
</think>

<response>-90, -72, -71, -47, -37, -16, 16, 45, 56, 75</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 40, -79, 57.

output:
<think>
Initial list: [40, -79, 57]

Pass 1:
  Compare 40 and -79
  Swap 40 and -79
  List after swap: [-79, 40, 57]
  Compare 40 and 57
  No swap needed

Pass 2:
  Compare -79 and 40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, 40, 57]
</think>

<response>-79, 40, 57</response>


input: Sort these integers 14, 16, -86, -94, -46, 76, -30, 11, -55, 36 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [14, 16, -86, -94, -46, 76, -30, 11, -55, 36]

Pass 1:
  Compare 14 and 16
  No swap needed
  Compare 16 and -86
  Swap 16 and -86
  List after swap: [14, -86, 16, -94, -46, 76, -30, 11, -55, 36]
  Compare 16 and -94
  Swap 16 and -94
  List after swap: [14, -86, -94, 16, -46, 76, -30, 11, -55, 36]
  Compare 16 and -46
  Swap 16 and -46
  List after swap: [14, -86, -94, -46, 16, 76, -30, 11, -55, 36]
  Compare 16 and 76
  No swap needed
  Compare 76 and -30
  Swap 76 and -30
  List after swap: [14, -86, -94, -46, 16, -30, 76, 11, -55, 36]
  Compare 76 and 11
  Swap 76 and 11
  List after swap: [14, -86, -94, -46, 16, -30, 11, 76, -55, 36]
  Compare 76 and -55
  Swap 76 and -55
  List after swap: [14, -86, -94, -46, 16, -30, 11, -55, 76, 36]
  Compare 76 and 36
  Swap 76 and 36
  List after swap: [14, -86, -94, -46, 16, -30, 11, -55, 36, 76]

Pass 2:
  Compare 14 and -86
  Swap 14 and -86
  List after swap: [-86, 14, -94, -46, 16, -30, 11, -55, 36, 76]
  Compare 14 and -94
  Swap 14 and -94
  List after swap: [-86, -94, 14, -46, 16, -30, 11, -55, 36, 76]
  Compare 14 and -46
  Swap 14 and -46
  List after swap: [-86, -94, -46, 14, 16, -30, 11, -55, 36, 76]
  Compare 14 and 16
  No swap needed
  Compare 16 and -30
  Swap 16 and -30
  List after swap: [-86, -94, -46, 14, -30, 16, 11, -55, 36, 76]
  Compare 16 and 11
  Swap 16 and 11
  List after swap: [-86, -94, -46, 14, -30, 11, 16, -55, 36, 76]
  Compare 16 and -55
  Swap 16 and -55
  List after swap: [-86, -94, -46, 14, -30, 11, -55, 16, 36, 76]
  Compare 16 and 36
  No swap needed

Pass 3:
  Compare -86 and -94
  Swap -86 and -94
  List after swap: [-94, -86, -46, 14, -30, 11, -55, 16, 36, 76]
  Compare -86 and -46
  No swap needed
  Compare -46 and 14
  No swap needed
  Compare 14 and -30
  Swap 14 and -30
  List after swap: [-94, -86, -46, -30, 14, 11, -55, 16, 36, 76]
  Compare 14 and 11
  Swap 14 and 11
  List after swap: [-94, -86, -46, -30, 11, 14, -55, 16, 36, 76]
  Compare 14 and -55
  Swap 14 and -55
  List after swap: [-94, -86, -46, -30, 11, -55, 14, 16, 36, 76]
  Compare 14 and 16
  No swap needed

Pass 4:
  Compare -94 and -86
  No swap needed
  Compare -86 and -46
  No swap needed
  Compare -46 and -30
  No swap needed
  Compare -30 and 11
  No swap needed
  Compare 11 and -55
  Swap 11 and -55
  List after swap: [-94, -86, -46, -30, -55, 11, 14, 16, 36, 76]
  Compare 11 and 14
  No swap needed

Pass 5:
  Compare -94 and -86
  No swap needed
  Compare -86 and -46
  No swap needed
  Compare -46 and -30
  No swap needed
  Compare -30 and -55
  Swap -30 and -55
  List after swap: [-94, -86, -46, -55, -30, 11, 14, 16, 36, 76]
  Compare -30 and 11
  No swap needed

Pass 6:
  Compare -94 and -86
  No swap needed
  Compare -86 and -46
  No swap needed
  Compare -46 and -55
  Swap -46 and -55
  List after swap: [-94, -86, -55, -46, -30, 11, 14, 16, 36, 76]
  Compare -46 and -30
  No swap needed

Pass 7:
  Compare -94 and -86
  No swap needed
  Compare -86 and -55
  No swap needed
  Compare -55 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -86, -55, -46, -30, 11, 14, 16, 36, 76]
</think>

<response>-94, -86, -55, -46, -30, 11, 14, 16, 36, 76</response>


input: Perform a bubble sort on the integers 29, 75, -97, -50, -15, 33, 18, -91, 63, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [29, 75, -97, -50, -15, 33, 18, -91, 63]

Pass 1:
  Compare 29 and 75
  No swap needed
  Compare 75 and -97
  Swap 75 and -97
  List after swap: [29, -97, 75, -50, -15, 33, 18, -91, 63]
  Compare 75 and -50
  Swap 75 and -50
  List after swap: [29, -97, -50, 75, -15, 33, 18, -91, 63]
  Compare 75 and -15
  Swap 75 and -15
  List after swap: [29, -97, -50, -15, 75, 33, 18, -91, 63]
  Compare 75 and 33
  Swap 75 and 33
  List after swap: [29, -97, -50, -15, 33, 75, 18, -91, 63]
  Compare 75 and 18
  Swap 75 and 18
  List after swap: [29, -97, -50, -15, 33, 18, 75, -91, 63]
  Compare 75 and -91
  Swap 75 and -91
  List after swap: [29, -97, -50, -15, 33, 18, -91, 75, 63]
  Compare 75 and 63
  Swap 75 and 63
  List after swap: [29, -97, -50, -15, 33, 18, -91, 63, 75]

Pass 2:
  Compare 29 and -97
  Swap 29 and -97
  List after swap: [-97, 29, -50, -15, 33, 18, -91, 63, 75]
  Compare 29 and -50
  Swap 29 and -50
  List after swap: [-97, -50, 29, -15, 33, 18, -91, 63, 75]
  Compare 29 and -15
  Swap 29 and -15
  List after swap: [-97, -50, -15, 29, 33, 18, -91, 63, 75]
  Compare 29 and 33
  No swap needed
  Compare 33 and 18
  Swap 33 and 18
  List after swap: [-97, -50, -15, 29, 18, 33, -91, 63, 75]
  Compare 33 and -91
  Swap 33 and -91
  List after swap: [-97, -50, -15, 29, 18, -91, 33, 63, 75]
  Compare 33 and 63
  No swap needed

Pass 3:
  Compare -97 and -50
  No swap needed
  Compare -50 and -15
  No swap needed
  Compare -15 and 29
  No swap needed
  Compare 29 and 18
  Swap 29 and 18
  List after swap: [-97, -50, -15, 18, 29, -91, 33, 63, 75]
  Compare 29 and -91
  Swap 29 and -91
  List after swap: [-97, -50, -15, 18, -91, 29, 33, 63, 75]
  Compare 29 and 33
  No swap needed

Pass 4:
  Compare -97 and -50
  No swap needed
  Compare -50 and -15
  No swap needed
  Compare -15 and 18
  No swap needed
  Compare 18 and -91
  Swap 18 and -91
  List after swap: [-97, -50, -15, -91, 18, 29, 33, 63, 75]
  Compare 18 and 29
  No swap needed

Pass 5:
  Compare -97 and -50
  No swap needed
  Compare -50 and -15
  No swap needed
  Compare -15 and -91
  Swap -15 and -91
  List after swap: [-97, -50, -91, -15, 18, 29, 33, 63, 75]
  Compare -15 and 18
  No swap needed

Pass 6:
  Compare -97 and -50
  No swap needed
  Compare -50 and -91
  Swap -50 and -91
  List after swap: [-97, -91, -50, -15, 18, 29, 33, 63, 75]
  Compare -50 and -15
  No swap needed

Pass 7:
  Compare -97 and -91
  No swap needed
  Compare -91 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -91, -50, -15, 18, 29, 33, 63, 75]
</think>

<response>-97, -91, -50, -15, 18, 29, 33, 63, 75</response>


input: Carry out the bubble sort algorithm on -47, -79, 8, 37, -87 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-47, -79, 8, 37, -87]

Pass 1:
  Compare -47 and -79
  Swap -47 and -79
  List after swap: [-79, -47, 8, 37, -87]
  Compare -47 and 8
  No swap needed
  Compare 8 and 37
  No swap needed
  Compare 37 and -87
  Swap 37 and -87
  List after swap: [-79, -47, 8, -87, 37]

Pass 2:
  Compare -79 and -47
  No swap needed
  Compare -47 and 8
  No swap needed
  Compare 8 and -87
  Swap 8 and -87
  List after swap: [-79, -47, -87, 8, 37]

Pass 3:
  Compare -79 and -47
  No swap needed
  Compare -47 and -87
  Swap -47 and -87
  List after swap: [-79, -87, -47, 8, 37]

Pass 4:
  Compare -79 and -87
  Swap -79 and -87
  List after swap: [-87, -79, -47, 8, 37]

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

Final sorted list: [-87, -79, -47, 8, 37]
</think>

<response>-87, -79, -47, 8, 37</response>


input: Implement bubble sort on -31, 45, -100, -80, -59, 62, -39, 2 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-31, 45, -100, -80, -59, 62, -39, 2]

Pass 1:
  Compare -31 and 45
  No swap needed
  Compare 45 and -100
  Swap 45 and -100
  List after swap: [-31, -100, 45, -80, -59, 62, -39, 2]
  Compare 45 and -80
  Swap 45 and -80
  List after swap: [-31, -100, -80, 45, -59, 62, -39, 2]
  Compare 45 and -59
  Swap 45 and -59
  List after swap: [-31, -100, -80, -59, 45, 62, -39, 2]
  Compare 45 and 62
  No swap needed
  Compare 62 and -39
  Swap 62 and -39
  List after swap: [-31, -100, -80, -59, 45, -39, 62, 2]
  Compare 62 and 2
  Swap 62 and 2
  List after swap: [-31, -100, -80, -59, 45, -39, 2, 62]

Pass 2:
  Compare -31 and -100
  Swap -31 and -100
  List after swap: [-100, -31, -80, -59, 45, -39, 2, 62]
  Compare -31 and -80
  Swap -31 and -80
  List after swap: [-100, -80, -31, -59, 45, -39, 2, 62]
  Compare -31 and -59
  Swap -31 and -59
  List after swap: [-100, -80, -59, -31, 45, -39, 2, 62]
  Compare -31 and 45
  No swap needed
  Compare 45 and -39
  Swap 45 and -39
  List after swap: [-100, -80, -59, -31, -39, 45, 2, 62]
  Compare 45 and 2
  Swap 45 and 2
  List after swap: [-100, -80, -59, -31, -39, 2, 45, 62]

Pass 3:
  Compare -100 and -80
  No swap needed
  Compare -80 and -59
  No swap needed
  Compare -59 and -31
  No swap needed
  Compare -31 and -39
  Swap -31 and -39
  List after swap: [-100, -80, -59, -39, -31, 2, 45, 62]
  Compare -31 and 2
  No swap needed

Pass 4:
  Compare -100 and -80
  No swap needed
  Compare -80 and -59
  No swap needed
  Compare -59 and -39
  No swap needed
  Compare -39 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -80, -59, -39, -31, 2, 45, 62]
</think>

<response>-100, -80, -59, -39, -31, 2, 45, 62</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -56, -31, -5, 44, -16, 82, 55, -41, 69.

output:
<think>
Initial list: [-56, -31, -5, 44, -16, 82, 55, -41, 69]

Pass 1:
  Compare -56 and -31
  No swap needed
  Compare -31 and -5
  No swap needed
  Compare -5 and 44
  No swap needed
  Compare 44 and -16
  Swap 44 and -16
  List after swap: [-56, -31, -5, -16, 44, 82, 55, -41, 69]
  Compare 44 and 82
  No swap needed
  Compare 82 and 55
  Swap 82 and 55
  List after swap: [-56, -31, -5, -16, 44, 55, 82, -41, 69]
  Compare 82 and -41
  Swap 82 and -41
  List after swap: [-56, -31, -5, -16, 44, 55, -41, 82, 69]
  Compare 82 and 69
  Swap 82 and 69
  List after swap: [-56, -31, -5, -16, 44, 55, -41, 69, 82]

Pass 2:
  Compare -56 and -31
  No swap needed
  Compare -31 and -5
  No swap needed
  Compare -5 and -16
  Swap -5 and -16
  List after swap: [-56, -31, -16, -5, 44, 55, -41, 69, 82]
  Compare -5 and 44
  No swap needed
  Compare 44 and 55
  No swap needed
  Compare 55 and -41
  Swap 55 and -41
  List after swap: [-56, -31, -16, -5, 44, -41, 55, 69, 82]
  Compare 55 and 69
  No swap needed

Pass 3:
  Compare -56 and -31
  No swap needed
  Compare -31 and -16
  No swap needed
  Compare -16 and -5
  No swap needed
  Compare -5 and 44
  No swap needed
  Compare 44 and -41
  Swap 44 and -41
  List after swap: [-56, -31, -16, -5, -41, 44, 55, 69, 82]
  Compare 44 and 55
  No swap needed

Pass 4:
  Compare -56 and -31
  No swap needed
  Compare -31 and -16
  No swap needed
  Compare -16 and -5
  No swap needed
  Compare -5 and -41
  Swap -5 and -41
  List after swap: [-56, -31, -16, -41, -5, 44, 55, 69, 82]
  Compare -5 and 44
  No swap needed

Pass 5:
  Compare -56 and -31
  No swap needed
  Compare -31 and -16
  No swap needed
  Compare -16 and -41
  Swap -16 and -41
  List after swap: [-56, -31, -41, -16, -5, 44, 55, 69, 82]
  Compare -16 and -5
  No swap needed

Pass 6:
  Compare -56 and -31
  No swap needed
  Compare -31 and -41
  Swap -31 and -41
  List after swap: [-56, -41, -31, -16, -5, 44, 55, 69, 82]
  Compare -31 and -16
  No swap needed

Pass 7:
  Compare -56 and -41
  No swap needed
  Compare -41 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -41, -31, -16, -5, 44, 55, 69, 82]
</think>

<response>-56, -41, -31, -16, -5, 44, 55, 69, 82</response>


input: Use the bubble sort technique to reorder -69, 74, 72 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-69, 74, 72]

Pass 1:
  Compare -69 and 74
  No swap needed
  Compare 74 and 72
  Swap 74 and 72
  List after swap: [-69, 72, 74]

Pass 2:
  Compare -69 and 72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, 72, 74]
</think>

<response>-69, 72, 74</response>


input: Execute bubble sort to sort 69, 6, -80, -94, 90, 1, -79, 82 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [69, 6, -80, -94, 90, 1, -79, 82]

Pass 1:
  Compare 69 and 6
  Swap 69 and 6
  List after swap: [6, 69, -80, -94, 90, 1, -79, 82]
  Compare 69 and -80
  Swap 69 and -80
  List after swap: [6, -80, 69, -94, 90, 1, -79, 82]
  Compare 69 and -94
  Swap 69 and -94
  List after swap: [6, -80, -94, 69, 90, 1, -79, 82]
  Compare 69 and 90
  No swap needed
  Compare 90 and 1
  Swap 90 and 1
  List after swap: [6, -80, -94, 69, 1, 90, -79, 82]
  Compare 90 and -79
  Swap 90 and -79
  List after swap: [6, -80, -94, 69, 1, -79, 90, 82]
  Compare 90 and 82
  Swap 90 and 82
  List after swap: [6, -80, -94, 69, 1, -79, 82, 90]

Pass 2:
  Compare 6 and -80
  Swap 6 and -80
  List after swap: [-80, 6, -94, 69, 1, -79, 82, 90]
  Compare 6 and -94
  Swap 6 and -94
  List after swap: [-80, -94, 6, 69, 1, -79, 82, 90]
  Compare 6 and 69
  No swap needed
  Compare 69 and 1
  Swap 69 and 1
  List after swap: [-80, -94, 6, 1, 69, -79, 82, 90]
  Compare 69 and -79
  Swap 69 and -79
  List after swap: [-80, -94, 6, 1, -79, 69, 82, 90]
  Compare 69 and 82
  No swap needed

Pass 3:
  Compare -80 and -94
  Swap -80 and -94
  List after swap: [-94, -80, 6, 1, -79, 69, 82, 90]
  Compare -80 and 6
  No swap needed
  Compare 6 and 1
  Swap 6 and 1
  List after swap: [-94, -80, 1, 6, -79, 69, 82, 90]
  Compare 6 and -79
  Swap 6 and -79
  List after swap: [-94, -80, 1, -79, 6, 69, 82, 90]
  Compare 6 and 69
  No swap needed

Pass 4:
  Compare -94 and -80
  No swap needed
  Compare -80 and 1
  No swap needed
  Compare 1 and -79
  Swap 1 and -79
  List after swap: [-94, -80, -79, 1, 6, 69, 82, 90]
  Compare 1 and 6
  No swap needed

Pass 5:
  Compare -94 and -80
  No swap needed
  Compare -80 and -79
  No swap needed
  Compare -79 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -80, -79, 1, 6, 69, 82, 90]
</think>

<response>-94, -80, -79, 1, 6, 69, 82, 90</response>


input: Carry out the bubble sort algorithm on 15, -42, 25, 48, -87, -85, -13, 66, 4 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [15, -42, 25, 48, -87, -85, -13, 66, 4]

Pass 1:
  Compare 15 and -42
  Swap 15 and -42
  List after swap: [-42, 15, 25, 48, -87, -85, -13, 66, 4]
  Compare 15 and 25
  No swap needed
  Compare 25 and 48
  No swap needed
  Compare 48 and -87
  Swap 48 and -87
  List after swap: [-42, 15, 25, -87, 48, -85, -13, 66, 4]
  Compare 48 and -85
  Swap 48 and -85
  List after swap: [-42, 15, 25, -87, -85, 48, -13, 66, 4]
  Compare 48 and -13
  Swap 48 and -13
  List after swap: [-42, 15, 25, -87, -85, -13, 48, 66, 4]
  Compare 48 and 66
  No swap needed
  Compare 66 and 4
  Swap 66 and 4
  List after swap: [-42, 15, 25, -87, -85, -13, 48, 4, 66]

Pass 2:
  Compare -42 and 15
  No swap needed
  Compare 15 and 25
  No swap needed
  Compare 25 and -87
  Swap 25 and -87
  List after swap: [-42, 15, -87, 25, -85, -13, 48, 4, 66]
  Compare 25 and -85
  Swap 25 and -85
  List after swap: [-42, 15, -87, -85, 25, -13, 48, 4, 66]
  Compare 25 and -13
  Swap 25 and -13
  List after swap: [-42, 15, -87, -85, -13, 25, 48, 4, 66]
  Compare 25 and 48
  No swap needed
  Compare 48 and 4
  Swap 48 and 4
  List after swap: [-42, 15, -87, -85, -13, 25, 4, 48, 66]

Pass 3:
  Compare -42 and 15
  No swap needed
  Compare 15 and -87
  Swap 15 and -87
  List after swap: [-42, -87, 15, -85, -13, 25, 4, 48, 66]
  Compare 15 and -85
  Swap 15 and -85
  List after swap: [-42, -87, -85, 15, -13, 25, 4, 48, 66]
  Compare 15 and -13
  Swap 15 and -13
  List after swap: [-42, -87, -85, -13, 15, 25, 4, 48, 66]
  Compare 15 and 25
  No swap needed
  Compare 25 and 4
  Swap 25 and 4
  List after swap: [-42, -87, -85, -13, 15, 4, 25, 48, 66]

Pass 4:
  Compare -42 and -87
  Swap -42 and -87
  List after swap: [-87, -42, -85, -13, 15, 4, 25, 48, 66]
  Compare -42 and -85
  Swap -42 and -85
  List after swap: [-87, -85, -42, -13, 15, 4, 25, 48, 66]
  Compare -42 and -13
  No swap needed
  Compare -13 and 15
  No swap needed
  Compare 15 and 4
  Swap 15 and 4
  List after swap: [-87, -85, -42, -13, 4, 15, 25, 48, 66]

Pass 5:
  Compare -87 and -85
  No swap needed
  Compare -85 and -42
  No swap needed
  Compare -42 and -13
  No swap needed
  Compare -13 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -85, -42, -13, 4, 15, 25, 48, 66]
</think>

<response>-87, -85, -42, -13, 4, 15, 25, 48, 66</response>


input: Sort the list 99, 5, -51, -54, -87, 73, -43, -42 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [99, 5, -51, -54, -87, 73, -43, -42]

Pass 1:
  Compare 99 and 5
  Swap 99 and 5
  List after swap: [5, 99, -51, -54, -87, 73, -43, -42]
  Compare 99 and -51
  Swap 99 and -51
  List after swap: [5, -51, 99, -54, -87, 73, -43, -42]
  Compare 99 and -54
  Swap 99 and -54
  List after swap: [5, -51, -54, 99, -87, 73, -43, -42]
  Compare 99 and -87
  Swap 99 and -87
  List after swap: [5, -51, -54, -87, 99, 73, -43, -42]
  Compare 99 and 73
  Swap 99 and 73
  List after swap: [5, -51, -54, -87, 73, 99, -43, -42]
  Compare 99 and -43
  Swap 99 and -43
  List after swap: [5, -51, -54, -87, 73, -43, 99, -42]
  Compare 99 and -42
  Swap 99 and -42
  List after swap: [5, -51, -54, -87, 73, -43, -42, 99]

Pass 2:
  Compare 5 and -51
  Swap 5 and -51
  List after swap: [-51, 5, -54, -87, 73, -43, -42, 99]
  Compare 5 and -54
  Swap 5 and -54
  List after swap: [-51, -54, 5, -87, 73, -43, -42, 99]
  Compare 5 and -87
  Swap 5 and -87
  List after swap: [-51, -54, -87, 5, 73, -43, -42, 99]
  Compare 5 and 73
  No swap needed
  Compare 73 and -43
  Swap 73 and -43
  List after swap: [-51, -54, -87, 5, -43, 73, -42, 99]
  Compare 73 and -42
  Swap 73 and -42
  List after swap: [-51, -54, -87, 5, -43, -42, 73, 99]

Pass 3:
  Compare -51 and -54
  Swap -51 and -54
  List after swap: [-54, -51, -87, 5, -43, -42, 73, 99]
  Compare -51 and -87
  Swap -51 and -87
  List after swap: [-54, -87, -51, 5, -43, -42, 73, 99]
  Compare -51 and 5
  No swap needed
  Compare 5 and -43
  Swap 5 and -43
  List after swap: [-54, -87, -51, -43, 5, -42, 73, 99]
  Compare 5 and -42
  Swap 5 and -42
  List after swap: [-54, -87, -51, -43, -42, 5, 73, 99]

Pass 4:
  Compare -54 and -87
  Swap -54 and -87
  List after swap: [-87, -54, -51, -43, -42, 5, 73, 99]
  Compare -54 and -51
  No swap needed
  Compare -51 and -43
  No swap needed
  Compare -43 and -42
  No swap needed

Pass 5:
  Compare -87 and -54
  No swap needed
  Compare -54 and -51
  No swap needed
  Compare -51 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -54, -51, -43, -42, 5, 73, 99]
</think>

<response>-87, -54, -51, -43, -42, 5, 73, 99</response>


input: Implement bubble sort on 34, 63, 72, -19, -35, 45, -72 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [34, 63, 72, -19, -35, 45, -72]

Pass 1:
  Compare 34 and 63
  No swap needed
  Compare 63 and 72
  No swap needed
  Compare 72 and -19
  Swap 72 and -19
  List after swap: [34, 63, -19, 72, -35, 45, -72]
  Compare 72 and -35
  Swap 72 and -35
  List after swap: [34, 63, -19, -35, 72, 45, -72]
  Compare 72 and 45
  Swap 72 and 45
  List after swap: [34, 63, -19, -35, 45, 72, -72]
  Compare 72 and -72
  Swap 72 and -72
  List after swap: [34, 63, -19, -35, 45, -72, 72]

Pass 2:
  Compare 34 and 63
  No swap needed
  Compare 63 and -19
  Swap 63 and -19
  List after swap: [34, -19, 63, -35, 45, -72, 72]
  Compare 63 and -35
  Swap 63 and -35
  List after swap: [34, -19, -35, 63, 45, -72, 72]
  Compare 63 and 45
  Swap 63 and 45
  List after swap: [34, -19, -35, 45, 63, -72, 72]
  Compare 63 and -72
  Swap 63 and -72
  List after swap: [34, -19, -35, 45, -72, 63, 72]

Pass 3:
  Compare 34 and -19
  Swap 34 and -19
  List after swap: [-19, 34, -35, 45, -72, 63, 72]
  Compare 34 and -35
  Swap 34 and -35
  List after swap: [-19, -35, 34, 45, -72, 63, 72]
  Compare 34 and 45
  No swap needed
  Compare 45 and -72
  Swap 45 and -72
  List after swap: [-19, -35, 34, -72, 45, 63, 72]

Pass 4:
  Compare -19 and -35
  Swap -19 and -35
  List after swap: [-35, -19, 34, -72, 45, 63, 72]
  Compare -19 and 34
  No swap needed
  Compare 34 and -72
  Swap 34 and -72
  List after swap: [-35, -19, -72, 34, 45, 63, 72]

Pass 5:
  Compare -35 and -19
  No swap needed
  Compare -19 and -72
  Swap -19 and -72
  List after swap: [-35, -72, -19, 34, 45, 63, 72]

Pass 6:
  Compare -35 and -72
  Swap -35 and -72
  List after swap: [-72, -35, -19, 34, 45, 63, 72]

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

Final sorted list: [-72, -35, -19, 34, 45, 63, 72]
</think>

<response>-72, -35, -19, 34, 45, 63, 72</response>


input: Sort these integers 22, -11, 13, -30, -74, 16, 91, 53, 94 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [22, -11, 13, -30, -74, 16, 91, 53, 94]

Pass 1:
  Compare 22 and -11
  Swap 22 and -11
  List after swap: [-11, 22, 13, -30, -74, 16, 91, 53, 94]
  Compare 22 and 13
  Swap 22 and 13
  List after swap: [-11, 13, 22, -30, -74, 16, 91, 53, 94]
  Compare 22 and -30
  Swap 22 and -30
  List after swap: [-11, 13, -30, 22, -74, 16, 91, 53, 94]
  Compare 22 and -74
  Swap 22 and -74
  List after swap: [-11, 13, -30, -74, 22, 16, 91, 53, 94]
  Compare 22 and 16
  Swap 22 and 16
  List after swap: [-11, 13, -30, -74, 16, 22, 91, 53, 94]
  Compare 22 and 91
  No swap needed
  Compare 91 and 53
  Swap 91 and 53
  List after swap: [-11, 13, -30, -74, 16, 22, 53, 91, 94]
  Compare 91 and 94
  No swap needed

Pass 2:
  Compare -11 and 13
  No swap needed
  Compare 13 and -30
  Swap 13 and -30
  List after swap: [-11, -30, 13, -74, 16, 22, 53, 91, 94]
  Compare 13 and -74
  Swap 13 and -74
  List after swap: [-11, -30, -74, 13, 16, 22, 53, 91, 94]
  Compare 13 and 16
  No swap needed
  Compare 16 and 22
  No swap needed
  Compare 22 and 53
  No swap needed
  Compare 53 and 91
  No swap needed

Pass 3:
  Compare -11 and -30
  Swap -11 and -30
  List after swap: [-30, -11, -74, 13, 16, 22, 53, 91, 94]
  Compare -11 and -74
  Swap -11 and -74
  List after swap: [-30, -74, -11, 13, 16, 22, 53, 91, 94]
  Compare -11 and 13
  No swap needed
  Compare 13 and 16
  No swap needed
  Compare 16 and 22
  No swap needed
  Compare 22 and 53
  No swap needed

Pass 4:
  Compare -30 and -74
  Swap -30 and -74
  List after swap: [-74, -30, -11, 13, 16, 22, 53, 91, 94]
  Compare -30 and -11
  No swap needed
  Compare -11 and 13
  No swap needed
  Compare 13 and 16
  No swap needed
  Compare 16 and 22
  No swap needed

Pass 5:
  Compare -74 and -30
  No swap needed
  Compare -30 and -11
  No swap needed
  Compare -11 and 13
  No swap needed
  Compare 13 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -30, -11, 13, 16, 22, 53, 91, 94]
</think>

<response>-74, -30, -11, 13, 16, 22, 53, 91, 94</response>


input: Sort the list -29, -11, 29, -56, -46, 21, -64 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-29, -11, 29, -56, -46, 21, -64]

Pass 1:
  Compare -29 and -11
  No swap needed
  Compare -11 and 29
  No swap needed
  Compare 29 and -56
  Swap 29 and -56
  List after swap: [-29, -11, -56, 29, -46, 21, -64]
  Compare 29 and -46
  Swap 29 and -46
  List after swap: [-29, -11, -56, -46, 29, 21, -64]
  Compare 29 and 21
  Swap 29 and 21
  List after swap: [-29, -11, -56, -46, 21, 29, -64]
  Compare 29 and -64
  Swap 29 and -64
  List after swap: [-29, -11, -56, -46, 21, -64, 29]

Pass 2:
  Compare -29 and -11
  No swap needed
  Compare -11 and -56
  Swap -11 and -56
  List after swap: [-29, -56, -11, -46, 21, -64, 29]
  Compare -11 and -46
  Swap -11 and -46
  List after swap: [-29, -56, -46, -11, 21, -64, 29]
  Compare -11 and 21
  No swap needed
  Compare 21 and -64
  Swap 21 and -64
  List after swap: [-29, -56, -46, -11, -64, 21, 29]

Pass 3:
  Compare -29 and -56
  Swap -29 and -56
  List after swap: [-56, -29, -46, -11, -64, 21, 29]
  Compare -29 and -46
  Swap -29 and -46
  List after swap: [-56, -46, -29, -11, -64, 21, 29]
  Compare -29 and -11
  No swap needed
  Compare -11 and -64
  Swap -11 and -64
  List after swap: [-56, -46, -29, -64, -11, 21, 29]

Pass 4:
  Compare -56 and -46
  No swap needed
  Compare -46 and -29
  No swap needed
  Compare -29 and -64
  Swap -29 and -64
  List after swap: [-56, -46, -64, -29, -11, 21, 29]

Pass 5:
  Compare -56 and -46
  No swap needed
  Compare -46 and -64
  Swap -46 and -64
  List after swap: [-56, -64, -46, -29, -11, 21, 29]

Pass 6:
  Compare -56 and -64
  Swap -56 and -64
  List after swap: [-64, -56, -46, -29, -11, 21, 29]

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

Final sorted list: [-64, -56, -46, -29, -11, 21, 29]
</think>

<response>-64, -56, -46, -29, -11, 21, 29</response>


input: Perform a bubble sort on the integers 83, -63, 99, 25, -71, -74, -59, 2, -56, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [83, -63, 99, 25, -71, -74, -59, 2, -56]

Pass 1:
  Compare 83 and -63
  Swap 83 and -63
  List after swap: [-63, 83, 99, 25, -71, -74, -59, 2, -56]
  Compare 83 and 99
  No swap needed
  Compare 99 and 25
  Swap 99 and 25
  List after swap: [-63, 83, 25, 99, -71, -74, -59, 2, -56]
  Compare 99 and -71
  Swap 99 and -71
  List after swap: [-63, 83, 25, -71, 99, -74, -59, 2, -56]
  Compare 99 and -74
  Swap 99 and -74
  List after swap: [-63, 83, 25, -71, -74, 99, -59, 2, -56]
  Compare 99 and -59
  Swap 99 and -59
  List after swap: [-63, 83, 25, -71, -74, -59, 99, 2, -56]
  Compare 99 and 2
  Swap 99 and 2
  List after swap: [-63, 83, 25, -71, -74, -59, 2, 99, -56]
  Compare 99 and -56
  Swap 99 and -56
  List after swap: [-63, 83, 25, -71, -74, -59, 2, -56, 99]

Pass 2:
  Compare -63 and 83
  No swap needed
  Compare 83 and 25
  Swap 83 and 25
  List after swap: [-63, 25, 83, -71, -74, -59, 2, -56, 99]
  Compare 83 and -71
  Swap 83 and -71
  List after swap: [-63, 25, -71, 83, -74, -59, 2, -56, 99]
  Compare 83 and -74
  Swap 83 and -74
  List after swap: [-63, 25, -71, -74, 83, -59, 2, -56, 99]
  Compare 83 and -59
  Swap 83 and -59
  List after swap: [-63, 25, -71, -74, -59, 83, 2, -56, 99]
  Compare 83 and 2
  Swap 83 and 2
  List after swap: [-63, 25, -71, -74, -59, 2, 83, -56, 99]
  Compare 83 and -56
  Swap 83 and -56
  List after swap: [-63, 25, -71, -74, -59, 2, -56, 83, 99]

Pass 3:
  Compare -63 and 25
  No swap needed
  Compare 25 and -71
  Swap 25 and -71
  List after swap: [-63, -71, 25, -74, -59, 2, -56, 83, 99]
  Compare 25 and -74
  Swap 25 and -74
  List after swap: [-63, -71, -74, 25, -59, 2, -56, 83, 99]
  Compare 25 and -59
  Swap 25 and -59
  List after swap: [-63, -71, -74, -59, 25, 2, -56, 83, 99]
  Compare 25 and 2
  Swap 25 and 2
  List after swap: [-63, -71, -74, -59, 2, 25, -56, 83, 99]
  Compare 25 and -56
  Swap 25 and -56
  List after swap: [-63, -71, -74, -59, 2, -56, 25, 83, 99]

Pass 4:
  Compare -63 and -71
  Swap -63 and -71
  List after swap: [-71, -63, -74, -59, 2, -56, 25, 83, 99]
  Compare -63 and -74
  Swap -63 and -74
  List after swap: [-71, -74, -63, -59, 2, -56, 25, 83, 99]
  Compare -63 and -59
  No swap needed
  Compare -59 and 2
  No swap needed
  Compare 2 and -56
  Swap 2 and -56
  List after swap: [-71, -74, -63, -59, -56, 2, 25, 83, 99]

Pass 5:
  Compare -71 and -74
  Swap -71 and -74
  List after swap: [-74, -71, -63, -59, -56, 2, 25, 83, 99]
  Compare -71 and -63
  No swap needed
  Compare -63 and -59
  No swap needed
  Compare -59 and -56
  No swap needed

Pass 6:
  Compare -74 and -71
  No swap needed
  Compare -71 and -63
  No swap needed
  Compare -63 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -71, -63, -59, -56, 2, 25, 83, 99]
</think>

<response>-74, -71, -63, -59, -56, 2, 25, 83, 99</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 91, -36.

output:
<think>
Initial list: [91, -36]

Pass 1:
  Compare 91 and -36
  Swap 91 and -36
  List after swap: [-36, 91]

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

Final sorted list: [-36, 91]
</think>

<response>-36, 91</response>


input: Use the bubble sort technique to reorder 48, 59, 65, 61, 43, 32, 90 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [48, 59, 65, 61, 43, 32, 90]

Pass 1:
  Compare 48 and 59
  No swap needed
  Compare 59 and 65
  No swap needed
  Compare 65 and 61
  Swap 65 and 61
  List after swap: [48, 59, 61, 65, 43, 32, 90]
  Compare 65 and 43
  Swap 65 and 43
  List after swap: [48, 59, 61, 43, 65, 32, 90]
  Compare 65 and 32
  Swap 65 and 32
  List after swap: [48, 59, 61, 43, 32, 65, 90]
  Compare 65 and 90
  No swap needed

Pass 2:
  Compare 48 and 59
  No swap needed
  Compare 59 and 61
  No swap needed
  Compare 61 and 43
  Swap 61 and 43
  List after swap: [48, 59, 43, 61, 32, 65, 90]
  Compare 61 and 32
  Swap 61 and 32
  List after swap: [48, 59, 43, 32, 61, 65, 90]
  Compare 61 and 65
  No swap needed

Pass 3:
  Compare 48 and 59
  No swap needed
  Compare 59 and 43
  Swap 59 and 43
  List after swap: [48, 43, 59, 32, 61, 65, 90]
  Compare 59 and 32
  Swap 59 and 32
  List after swap: [48, 43, 32, 59, 61, 65, 90]
  Compare 59 and 61
  No swap needed

Pass 4:
  Compare 48 and 43
  Swap 48 and 43
  List after swap: [43, 48, 32, 59, 61, 65, 90]
  Compare 48 and 32
  Swap 48 and 32
  List after swap: [43, 32, 48, 59, 61, 65, 90]
  Compare 48 and 59
  No swap needed

Pass 5:
  Compare 43 and 32
  Swap 43 and 32
  List after swap: [32, 43, 48, 59, 61, 65, 90]
  Compare 43 and 48
  No swap needed

Pass 6:
  Compare 32 and 43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [32, 43, 48, 59, 61, 65, 90]
</think>

<response>32, 43, 48, 59, 61, 65, 90</response>


input: Demonstrate how bubble sort orders the integers 22, -46, 46, -10, -35, 19, -97 in ascending sequence, showing all steps.

output:
<think>
Initial list: [22, -46, 46, -10, -35, 19, -97]

Pass 1:
  Compare 22 and -46
  Swap 22 and -46
  List after swap: [-46, 22, 46, -10, -35, 19, -97]
  Compare 22 and 46
  No swap needed
  Compare 46 and -10
  Swap 46 and -10
  List after swap: [-46, 22, -10, 46, -35, 19, -97]
  Compare 46 and -35
  Swap 46 and -35
  List after swap: [-46, 22, -10, -35, 46, 19, -97]
  Compare 46 and 19
  Swap 46 and 19
  List after swap: [-46, 22, -10, -35, 19, 46, -97]
  Compare 46 and -97
  Swap 46 and -97
  List after swap: [-46, 22, -10, -35, 19, -97, 46]

Pass 2:
  Compare -46 and 22
  No swap needed
  Compare 22 and -10
  Swap 22 and -10
  List after swap: [-46, -10, 22, -35, 19, -97, 46]
  Compare 22 and -35
  Swap 22 and -35
  List after swap: [-46, -10, -35, 22, 19, -97, 46]
  Compare 22 and 19
  Swap 22 and 19
  List after swap: [-46, -10, -35, 19, 22, -97, 46]
  Compare 22 and -97
  Swap 22 and -97
  List after swap: [-46, -10, -35, 19, -97, 22, 46]

Pass 3:
  Compare -46 and -10
  No swap needed
  Compare -10 and -35
  Swap -10 and -35
  List after swap: [-46, -35, -10, 19, -97, 22, 46]
  Compare -10 and 19
  No swap needed
  Compare 19 and -97
  Swap 19 and -97
  List after swap: [-46, -35, -10, -97, 19, 22, 46]

Pass 4:
  Compare -46 and -35
  No swap needed
  Compare -35 and -10
  No swap needed
  Compare -10 and -97
  Swap -10 and -97
  List after swap: [-46, -35, -97, -10, 19, 22, 46]

Pass 5:
  Compare -46 and -35
  No swap needed
  Compare -35 and -97
  Swap -35 and -97
  List after swap: [-46, -97, -35, -10, 19, 22, 46]

Pass 6:
  Compare -46 and -97
  Swap -46 and -97
  List after swap: [-97, -46, -35, -10, 19, 22, 46]

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

Final sorted list: [-97, -46, -35, -10, 19, 22, 46]
</think>

<response>-97, -46, -35, -10, 19, 22, 46</response>


input: Sort these integers -63, 42, 56, 35 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-63, 42, 56, 35]

Pass 1:
  Compare -63 and 42
  No swap needed
  Compare 42 and 56
  No swap needed
  Compare 56 and 35
  Swap 56 and 35
  List after swap: [-63, 42, 35, 56]

Pass 2:
  Compare -63 and 42
  No swap needed
  Compare 42 and 35
  Swap 42 and 35
  List after swap: [-63, 35, 42, 56]

Pass 3:
  Compare -63 and 35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, 35, 42, 56]
</think>

<response>-63, 35, 42, 56</response>


input: Implement bubble sort on 12, -15, 93, -97, -20, 39, -60 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [12, -15, 93, -97, -20, 39, -60]

Pass 1:
  Compare 12 and -15
  Swap 12 and -15
  List after swap: [-15, 12, 93, -97, -20, 39, -60]
  Compare 12 and 93
  No swap needed
  Compare 93 and -97
  Swap 93 and -97
  List after swap: [-15, 12, -97, 93, -20, 39, -60]
  Compare 93 and -20
  Swap 93 and -20
  List after swap: [-15, 12, -97, -20, 93, 39, -60]
  Compare 93 and 39
  Swap 93 and 39
  List after swap: [-15, 12, -97, -20, 39, 93, -60]
  Compare 93 and -60
  Swap 93 and -60
  List after swap: [-15, 12, -97, -20, 39, -60, 93]

Pass 2:
  Compare -15 and 12
  No swap needed
  Compare 12 and -97
  Swap 12 and -97
  List after swap: [-15, -97, 12, -20, 39, -60, 93]
  Compare 12 and -20
  Swap 12 and -20
  List after swap: [-15, -97, -20, 12, 39, -60, 93]
  Compare 12 and 39
  No swap needed
  Compare 39 and -60
  Swap 39 and -60
  List after swap: [-15, -97, -20, 12, -60, 39, 93]

Pass 3:
  Compare -15 and -97
  Swap -15 and -97
  List after swap: [-97, -15, -20, 12, -60, 39, 93]
  Compare -15 and -20
  Swap -15 and -20
  List after swap: [-97, -20, -15, 12, -60, 39, 93]
  Compare -15 and 12
  No swap needed
  Compare 12 and -60
  Swap 12 and -60
  List after swap: [-97, -20, -15, -60, 12, 39, 93]

Pass 4:
  Compare -97 and -20
  No swap needed
  Compare -20 and -15
  No swap needed
  Compare -15 and -60
  Swap -15 and -60
  List after swap: [-97, -20, -60, -15, 12, 39, 93]

Pass 5:
  Compare -97 and -20
  No swap needed
  Compare -20 and -60
  Swap -20 and -60
  List after swap: [-97, -60, -20, -15, 12, 39, 93]

Pass 6:
  Compare -97 and -60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -60, -20, -15, 12, 39, 93]
</think>

<response>-97, -60, -20, -15, 12, 39, 93</response>


input: Implement bubble sort on -60, -82, -36, 15, 17, 30, 37 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-60, -82, -36, 15, 17, 30, 37]

Pass 1:
  Compare -60 and -82
  Swap -60 and -82
  List after swap: [-82, -60, -36, 15, 17, 30, 37]
  Compare -60 and -36
  No swap needed
  Compare -36 and 15
  No swap needed
  Compare 15 and 17
  No swap needed
  Compare 17 and 30
  No swap needed
  Compare 30 and 37
  No swap needed

Pass 2:
  Compare -82 and -60
  No swap needed
  Compare -60 and -36
  No swap needed
  Compare -36 and 15
  No swap needed
  Compare 15 and 17
  No swap needed
  Compare 17 and 30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -60, -36, 15, 17, 30, 37]
</think>

<response>-82, -60, -36, 15, 17, 30, 37</response>


input: Arrange the numbers -44, -78, 38, -81, 35 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-44, -78, 38, -81, 35]

Pass 1:
  Compare -44 and -78
  Swap -44 and -78
  List after swap: [-78, -44, 38, -81, 35]
  Compare -44 and 38
  No swap needed
  Compare 38 and -81
  Swap 38 and -81
  List after swap: [-78, -44, -81, 38, 35]
  Compare 38 and 35
  Swap 38 and 35
  List after swap: [-78, -44, -81, 35, 38]

Pass 2:
  Compare -78 and -44
  No swap needed
  Compare -44 and -81
  Swap -44 and -81
  List after swap: [-78, -81, -44, 35, 38]
  Compare -44 and 35
  No swap needed

Pass 3:
  Compare -78 and -81
  Swap -78 and -81
  List after swap: [-81, -78, -44, 35, 38]
  Compare -78 and -44
  No swap needed

Pass 4:
  Compare -81 and -78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -78, -44, 35, 38]
</think>

<response>-81, -78, -44, 35, 38</response>


input: Demonstrate how bubble sort orders the integers -20, -50, 86, -14, -7 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-20, -50, 86, -14, -7]

Pass 1:
  Compare -20 and -50
  Swap -20 and -50
  List after swap: [-50, -20, 86, -14, -7]
  Compare -20 and 86
  No swap needed
  Compare 86 and -14
  Swap 86 and -14
  List after swap: [-50, -20, -14, 86, -7]
  Compare 86 and -7
  Swap 86 and -7
  List after swap: [-50, -20, -14, -7, 86]

Pass 2:
  Compare -50 and -20
  No swap needed
  Compare -20 and -14
  No swap needed
  Compare -14 and -7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, -20, -14, -7, 86]
</think>

<response>-50, -20, -14, -7, 86</response>


input: Execute bubble sort to sort -100, 26, -9, 28, -74, -45, -43, -86, 7, -58 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-100, 26, -9, 28, -74, -45, -43, -86, 7, -58]

Pass 1:
  Compare -100 and 26
  No swap needed
  Compare 26 and -9
  Swap 26 and -9
  List after swap: [-100, -9, 26, 28, -74, -45, -43, -86, 7, -58]
  Compare 26 and 28
  No swap needed
  Compare 28 and -74
  Swap 28 and -74
  List after swap: [-100, -9, 26, -74, 28, -45, -43, -86, 7, -58]
  Compare 28 and -45
  Swap 28 and -45
  List after swap: [-100, -9, 26, -74, -45, 28, -43, -86, 7, -58]
  Compare 28 and -43
  Swap 28 and -43
  List after swap: [-100, -9, 26, -74, -45, -43, 28, -86, 7, -58]
  Compare 28 and -86
  Swap 28 and -86
  List after swap: [-100, -9, 26, -74, -45, -43, -86, 28, 7, -58]
  Compare 28 and 7
  Swap 28 and 7
  List after swap: [-100, -9, 26, -74, -45, -43, -86, 7, 28, -58]
  Compare 28 and -58
  Swap 28 and -58
  List after swap: [-100, -9, 26, -74, -45, -43, -86, 7, -58, 28]

Pass 2:
  Compare -100 and -9
  No swap needed
  Compare -9 and 26
  No swap needed
  Compare 26 and -74
  Swap 26 and -74
  List after swap: [-100, -9, -74, 26, -45, -43, -86, 7, -58, 28]
  Compare 26 and -45
  Swap 26 and -45
  List after swap: [-100, -9, -74, -45, 26, -43, -86, 7, -58, 28]
  Compare 26 and -43
  Swap 26 and -43
  List after swap: [-100, -9, -74, -45, -43, 26, -86, 7, -58, 28]
  Compare 26 and -86
  Swap 26 and -86
  List after swap: [-100, -9, -74, -45, -43, -86, 26, 7, -58, 28]
  Compare 26 and 7
  Swap 26 and 7
  List after swap: [-100, -9, -74, -45, -43, -86, 7, 26, -58, 28]
  Compare 26 and -58
  Swap 26 and -58
  List after swap: [-100, -9, -74, -45, -43, -86, 7, -58, 26, 28]

Pass 3:
  Compare -100 and -9
  No swap needed
  Compare -9 and -74
  Swap -9 and -74
  List after swap: [-100, -74, -9, -45, -43, -86, 7, -58, 26, 28]
  Compare -9 and -45
  Swap -9 and -45
  List after swap: [-100, -74, -45, -9, -43, -86, 7, -58, 26, 28]
  Compare -9 and -43
  Swap -9 and -43
  List after swap: [-100, -74, -45, -43, -9, -86, 7, -58, 26, 28]
  Compare -9 and -86
  Swap -9 and -86
  List after swap: [-100, -74, -45, -43, -86, -9, 7, -58, 26, 28]
  Compare -9 and 7
  No swap needed
  Compare 7 and -58
  Swap 7 and -58
  List after swap: [-100, -74, -45, -43, -86, -9, -58, 7, 26, 28]

Pass 4:
  Compare -100 and -74
  No swap needed
  Compare -74 and -45
  No swap needed
  Compare -45 and -43
  No swap needed
  Compare -43 and -86
  Swap -43 and -86
  List after swap: [-100, -74, -45, -86, -43, -9, -58, 7, 26, 28]
  Compare -43 and -9
  No swap needed
  Compare -9 and -58
  Swap -9 and -58
  List after swap: [-100, -74, -45, -86, -43, -58, -9, 7, 26, 28]

Pass 5:
  Compare -100 and -74
  No swap needed
  Compare -74 and -45
  No swap needed
  Compare -45 and -86
  Swap -45 and -86
  List after swap: [-100, -74, -86, -45, -43, -58, -9, 7, 26, 28]
  Compare -45 and -43
  No swap needed
  Compare -43 and -58
  Swap -43 and -58
  List after swap: [-100, -74, -86, -45, -58, -43, -9, 7, 26, 28]

Pass 6:
  Compare -100 and -74
  No swap needed
  Compare -74 and -86
  Swap -74 and -86
  List after swap: [-100, -86, -74, -45, -58, -43, -9, 7, 26, 28]
  Compare -74 and -45
  No swap needed
  Compare -45 and -58
  Swap -45 and -58
  List after swap: [-100, -86, -74, -58, -45, -43, -9, 7, 26, 28]

Pass 7:
  Compare -100 and -86
  No swap needed
  Compare -86 and -74
  No swap needed
  Compare -74 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -86, -74, -58, -45, -43, -9, 7, 26, 28]
</think>

<response>-100, -86, -74, -58, -45, -43, -9, 7, 26, 28</response>


input: Arrange the numbers -9, -71, 71, 82, 98 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-9, -71, 71, 82, 98]

Pass 1:
  Compare -9 and -71
  Swap -9 and -71
  List after swap: [-71, -9, 71, 82, 98]
  Compare -9 and 71
  No swap needed
  Compare 71 and 82
  No swap needed
  Compare 82 and 98
  No swap needed

Pass 2:
  Compare -71 and -9
  No swap needed
  Compare -9 and 71
  No swap needed
  Compare 71 and 82
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -9, 71, 82, 98]
</think>

<response>-71, -9, 71, 82, 98</response>


input: Use the bubble sort technique to reorder 9, -33, 18, 26, -53, 69, 71, 5, -70 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [9, -33, 18, 26, -53, 69, 71, 5, -70]

Pass 1:
  Compare 9 and -33
  Swap 9 and -33
  List after swap: [-33, 9, 18, 26, -53, 69, 71, 5, -70]
  Compare 9 and 18
  No swap needed
  Compare 18 and 26
  No swap needed
  Compare 26 and -53
  Swap 26 and -53
  List after swap: [-33, 9, 18, -53, 26, 69, 71, 5, -70]
  Compare 26 and 69
  No swap needed
  Compare 69 and 71
  No swap needed
  Compare 71 and 5
  Swap 71 and 5
  List after swap: [-33, 9, 18, -53, 26, 69, 5, 71, -70]
  Compare 71 and -70
  Swap 71 and -70
  List after swap: [-33, 9, 18, -53, 26, 69, 5, -70, 71]

Pass 2:
  Compare -33 and 9
  No swap needed
  Compare 9 and 18
  No swap needed
  Compare 18 and -53
  Swap 18 and -53
  List after swap: [-33, 9, -53, 18, 26, 69, 5, -70, 71]
  Compare 18 and 26
  No swap needed
  Compare 26 and 69
  No swap needed
  Compare 69 and 5
  Swap 69 and 5
  List after swap: [-33, 9, -53, 18, 26, 5, 69, -70, 71]
  Compare 69 and -70
  Swap 69 and -70
  List after swap: [-33, 9, -53, 18, 26, 5, -70, 69, 71]

Pass 3:
  Compare -33 and 9
  No swap needed
  Compare 9 and -53
  Swap 9 and -53
  List after swap: [-33, -53, 9, 18, 26, 5, -70, 69, 71]
  Compare 9 and 18
  No swap needed
  Compare 18 and 26
  No swap needed
  Compare 26 and 5
  Swap 26 and 5
  List after swap: [-33, -53, 9, 18, 5, 26, -70, 69, 71]
  Compare 26 and -70
  Swap 26 and -70
  List after swap: [-33, -53, 9, 18, 5, -70, 26, 69, 71]

Pass 4:
  Compare -33 and -53
  Swap -33 and -53
  List after swap: [-53, -33, 9, 18, 5, -70, 26, 69, 71]
  Compare -33 and 9
  No swap needed
  Compare 9 and 18
  No swap needed
  Compare 18 and 5
  Swap 18 and 5
  List after swap: [-53, -33, 9, 5, 18, -70, 26, 69, 71]
  Compare 18 and -70
  Swap 18 and -70
  List after swap: [-53, -33, 9, 5, -70, 18, 26, 69, 71]

Pass 5:
  Compare -53 and -33
  No swap needed
  Compare -33 and 9
  No swap needed
  Compare 9 and 5
  Swap 9 and 5
  List after swap: [-53, -33, 5, 9, -70, 18, 26, 69, 71]
  Compare 9 and -70
  Swap 9 and -70
  List after swap: [-53, -33, 5, -70, 9, 18, 26, 69, 71]

Pass 6:
  Compare -53 and -33
  No swap needed
  Compare -33 and 5
  No swap needed
  Compare 5 and -70
  Swap 5 and -70
  List after swap: [-53, -33, -70, 5, 9, 18, 26, 69, 71]

Pass 7:
  Compare -53 and -33
  No swap needed
  Compare -33 and -70
  Swap -33 and -70
  List after swap: [-53, -70, -33, 5, 9, 18, 26, 69, 71]

Pass 8:
  Compare -53 and -70
  Swap -53 and -70
  List after swap: [-70, -53, -33, 5, 9, 18, 26, 69, 71]

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

Final sorted list: [-70, -53, -33, 5, 9, 18, 26, 69, 71]
</think>

<response>-70, -53, -33, 5, 9, 18, 26, 69, 71</response>


input: Implement bubble sort on 84, -44 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [84, -44]

Pass 1:
  Compare 84 and -44
  Swap 84 and -44
  List after swap: [-44, 84]

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

Final sorted list: [-44, 84]
</think>

<response>-44, 84</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -30, -27, 90.

output:
<think>
Initial list: [-30, -27, 90]

Pass 1:
  Compare -30 and -27
  No swap needed
  Compare -27 and 90
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-30, -27, 90]
</think>

<response>-30, -27, 90</response>


input: Using the bubble sort method, sort -54, -74, 61, 19, -37, -42, -67 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-54, -74, 61, 19, -37, -42, -67]

Pass 1:
  Compare -54 and -74
  Swap -54 and -74
  List after swap: [-74, -54, 61, 19, -37, -42, -67]
  Compare -54 and 61
  No swap needed
  Compare 61 and 19
  Swap 61 and 19
  List after swap: [-74, -54, 19, 61, -37, -42, -67]
  Compare 61 and -37
  Swap 61 and -37
  List after swap: [-74, -54, 19, -37, 61, -42, -67]
  Compare 61 and -42
  Swap 61 and -42
  List after swap: [-74, -54, 19, -37, -42, 61, -67]
  Compare 61 and -67
  Swap 61 and -67
  List after swap: [-74, -54, 19, -37, -42, -67, 61]

Pass 2:
  Compare -74 and -54
  No swap needed
  Compare -54 and 19
  No swap needed
  Compare 19 and -37
  Swap 19 and -37
  List after swap: [-74, -54, -37, 19, -42, -67, 61]
  Compare 19 and -42
  Swap 19 and -42
  List after swap: [-74, -54, -37, -42, 19, -67, 61]
  Compare 19 and -67
  Swap 19 and -67
  List after swap: [-74, -54, -37, -42, -67, 19, 61]

Pass 3:
  Compare -74 and -54
  No swap needed
  Compare -54 and -37
  No swap needed
  Compare -37 and -42
  Swap -37 and -42
  List after swap: [-74, -54, -42, -37, -67, 19, 61]
  Compare -37 and -67
  Swap -37 and -67
  List after swap: [-74, -54, -42, -67, -37, 19, 61]

Pass 4:
  Compare -74 and -54
  No swap needed
  Compare -54 and -42
  No swap needed
  Compare -42 and -67
  Swap -42 and -67
  List after swap: [-74, -54, -67, -42, -37, 19, 61]

Pass 5:
  Compare -74 and -54
  No swap needed
  Compare -54 and -67
  Swap -54 and -67
  List after swap: [-74, -67, -54, -42, -37, 19, 61]

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

Final sorted list: [-74, -67, -54, -42, -37, 19, 61]
</think>

<response>-74, -67, -54, -42, -37, 19, 61</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -18, 71, 60, -92, 88, -75, -44, -59, -46.

output:
<think>
Initial list: [-18, 71, 60, -92, 88, -75, -44, -59, -46]

Pass 1:
  Compare -18 and 71
  No swap needed
  Compare 71 and 60
  Swap 71 and 60
  List after swap: [-18, 60, 71, -92, 88, -75, -44, -59, -46]
  Compare 71 and -92
  Swap 71 and -92
  List after swap: [-18, 60, -92, 71, 88, -75, -44, -59, -46]
  Compare 71 and 88
  No swap needed
  Compare 88 and -75
  Swap 88 and -75
  List after swap: [-18, 60, -92, 71, -75, 88, -44, -59, -46]
  Compare 88 and -44
  Swap 88 and -44
  List after swap: [-18, 60, -92, 71, -75, -44, 88, -59, -46]
  Compare 88 and -59
  Swap 88 and -59
  List after swap: [-18, 60, -92, 71, -75, -44, -59, 88, -46]
  Compare 88 and -46
  Swap 88 and -46
  List after swap: [-18, 60, -92, 71, -75, -44, -59, -46, 88]

Pass 2:
  Compare -18 and 60
  No swap needed
  Compare 60 and -92
  Swap 60 and -92
  List after swap: [-18, -92, 60, 71, -75, -44, -59, -46, 88]
  Compare 60 and 71
  No swap needed
  Compare 71 and -75
  Swap 71 and -75
  List after swap: [-18, -92, 60, -75, 71, -44, -59, -46, 88]
  Compare 71 and -44
  Swap 71 and -44
  List after swap: [-18, -92, 60, -75, -44, 71, -59, -46, 88]
  Compare 71 and -59
  Swap 71 and -59
  List after swap: [-18, -92, 60, -75, -44, -59, 71, -46, 88]
  Compare 71 and -46
  Swap 71 and -46
  List after swap: [-18, -92, 60, -75, -44, -59, -46, 71, 88]

Pass 3:
  Compare -18 and -92
  Swap -18 and -92
  List after swap: [-92, -18, 60, -75, -44, -59, -46, 71, 88]
  Compare -18 and 60
  No swap needed
  Compare 60 and -75
  Swap 60 and -75
  List after swap: [-92, -18, -75, 60, -44, -59, -46, 71, 88]
  Compare 60 and -44
  Swap 60 and -44
  List after swap: [-92, -18, -75, -44, 60, -59, -46, 71, 88]
  Compare 60 and -59
  Swap 60 and -59
  List after swap: [-92, -18, -75, -44, -59, 60, -46, 71, 88]
  Compare 60 and -46
  Swap 60 and -46
  List after swap: [-92, -18, -75, -44, -59, -46, 60, 71, 88]

Pass 4:
  Compare -92 and -18
  No swap needed
  Compare -18 and -75
  Swap -18 and -75
  List after swap: [-92, -75, -18, -44, -59, -46, 60, 71, 88]
  Compare -18 and -44
  Swap -18 and -44
  List after swap: [-92, -75, -44, -18, -59, -46, 60, 71, 88]
  Compare -18 and -59
  Swap -18 and -59
  List after swap: [-92, -75, -44, -59, -18, -46, 60, 71, 88]
  Compare -18 and -46
  Swap -18 and -46
  List after swap: [-92, -75, -44, -59, -46, -18, 60, 71, 88]

Pass 5:
  Compare -92 and -75
  No swap needed
  Compare -75 and -44
  No swap needed
  Compare -44 and -59
  Swap -44 and -59
  List after swap: [-92, -75, -59, -44, -46, -18, 60, 71, 88]
  Compare -44 and -46
  Swap -44 and -46
  List after swap: [-92, -75, -59, -46, -44, -18, 60, 71, 88]

Pass 6:
  Compare -92 and -75
  No swap needed
  Compare -75 and -59
  No swap needed
  Compare -59 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -75, -59, -46, -44, -18, 60, 71, 88]
</think>

<response>-92, -75, -59, -46, -44, -18, 60, 71, 88</response>


input: Using the bubble sort method, sort 91, -93, -84, -79, -90 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [91, -93, -84, -79, -90]

Pass 1:
  Compare 91 and -93
  Swap 91 and -93
  List after swap: [-93, 91, -84, -79, -90]
  Compare 91 and -84
  Swap 91 and -84
  List after swap: [-93, -84, 91, -79, -90]
  Compare 91 and -79
  Swap 91 and -79
  List after swap: [-93, -84, -79, 91, -90]
  Compare 91 and -90
  Swap 91 and -90
  List after swap: [-93, -84, -79, -90, 91]

Pass 2:
  Compare -93 and -84
  No swap needed
  Compare -84 and -79
  No swap needed
  Compare -79 and -90
  Swap -79 and -90
  List after swap: [-93, -84, -90, -79, 91]

Pass 3:
  Compare -93 and -84
  No swap needed
  Compare -84 and -90
  Swap -84 and -90
  List after swap: [-93, -90, -84, -79, 91]

Pass 4:
  Compare -93 and -90
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -90, -84, -79, 91]
</think>

<response>-93, -90, -84, -79, 91</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 24, 82, 25, -5, -40.

output:
<think>
Initial list: [24, 82, 25, -5, -40]

Pass 1:
  Compare 24 and 82
  No swap needed
  Compare 82 and 25
  Swap 82 and 25
  List after swap: [24, 25, 82, -5, -40]
  Compare 82 and -5
  Swap 82 and -5
  List after swap: [24, 25, -5, 82, -40]
  Compare 82 and -40
  Swap 82 and -40
  List after swap: [24, 25, -5, -40, 82]

Pass 2:
  Compare 24 and 25
  No swap needed
  Compare 25 and -5
  Swap 25 and -5
  List after swap: [24, -5, 25, -40, 82]
  Compare 25 and -40
  Swap 25 and -40
  List after swap: [24, -5, -40, 25, 82]

Pass 3:
  Compare 24 and -5
  Swap 24 and -5
  List after swap: [-5, 24, -40, 25, 82]
  Compare 24 and -40
  Swap 24 and -40
  List after swap: [-5, -40, 24, 25, 82]

Pass 4:
  Compare -5 and -40
  Swap -5 and -40
  List after swap: [-40, -5, 24, 25, 82]

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

Final sorted list: [-40, -5, 24, 25, 82]
</think>

<response>-40, -5, 24, 25, 82</response>


input: Sort the list -99, 69, 4, -80, -5, -73, 11, 0, -52 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-99, 69, 4, -80, -5, -73, 11, 0, -52]

Pass 1:
  Compare -99 and 69
  No swap needed
  Compare 69 and 4
  Swap 69 and 4
  List after swap: [-99, 4, 69, -80, -5, -73, 11, 0, -52]
  Compare 69 and -80
  Swap 69 and -80
  List after swap: [-99, 4, -80, 69, -5, -73, 11, 0, -52]
  Compare 69 and -5
  Swap 69 and -5
  List after swap: [-99, 4, -80, -5, 69, -73, 11, 0, -52]
  Compare 69 and -73
  Swap 69 and -73
  List after swap: [-99, 4, -80, -5, -73, 69, 11, 0, -52]
  Compare 69 and 11
  Swap 69 and 11
  List after swap: [-99, 4, -80, -5, -73, 11, 69, 0, -52]
  Compare 69 and 0
  Swap 69 and 0
  List after swap: [-99, 4, -80, -5, -73, 11, 0, 69, -52]
  Compare 69 and -52
  Swap 69 and -52
  List after swap: [-99, 4, -80, -5, -73, 11, 0, -52, 69]

Pass 2:
  Compare -99 and 4
  No swap needed
  Compare 4 and -80
  Swap 4 and -80
  List after swap: [-99, -80, 4, -5, -73, 11, 0, -52, 69]
  Compare 4 and -5
  Swap 4 and -5
  List after swap: [-99, -80, -5, 4, -73, 11, 0, -52, 69]
  Compare 4 and -73
  Swap 4 and -73
  List after swap: [-99, -80, -5, -73, 4, 11, 0, -52, 69]
  Compare 4 and 11
  No swap needed
  Compare 11 and 0
  Swap 11 and 0
  List after swap: [-99, -80, -5, -73, 4, 0, 11, -52, 69]
  Compare 11 and -52
  Swap 11 and -52
  List after swap: [-99, -80, -5, -73, 4, 0, -52, 11, 69]

Pass 3:
  Compare -99 and -80
  No swap needed
  Compare -80 and -5
  No swap needed
  Compare -5 and -73
  Swap -5 and -73
  List after swap: [-99, -80, -73, -5, 4, 0, -52, 11, 69]
  Compare -5 and 4
  No swap needed
  Compare 4 and 0
  Swap 4 and 0
  List after swap: [-99, -80, -73, -5, 0, 4, -52, 11, 69]
  Compare 4 and -52
  Swap 4 and -52
  List after swap: [-99, -80, -73, -5, 0, -52, 4, 11, 69]

Pass 4:
  Compare -99 and -80
  No swap needed
  Compare -80 and -73
  No swap needed
  Compare -73 and -5
  No swap needed
  Compare -5 and 0
  No swap needed
  Compare 0 and -52
  Swap 0 and -52
  List after swap: [-99, -80, -73, -5, -52, 0, 4, 11, 69]

Pass 5:
  Compare -99 and -80
  No swap needed
  Compare -80 and -73
  No swap needed
  Compare -73 and -5
  No swap needed
  Compare -5 and -52
  Swap -5 and -52
  List after swap: [-99, -80, -73, -52, -5, 0, 4, 11, 69]

Pass 6:
  Compare -99 and -80
  No swap needed
  Compare -80 and -73
  No swap needed
  Compare -73 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -80, -73, -52, -5, 0, 4, 11, 69]
</think>

<response>-99, -80, -73, -52, -5, 0, 4, 11, 69</response>


input: Perform a bubble sort on the integers -71, -80, -94, 55, 84, -82, 24, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-71, -80, -94, 55, 84, -82, 24]

Pass 1:
  Compare -71 and -80
  Swap -71 and -80
  List after swap: [-80, -71, -94, 55, 84, -82, 24]
  Compare -71 and -94
  Swap -71 and -94
  List after swap: [-80, -94, -71, 55, 84, -82, 24]
  Compare -71 and 55
  No swap needed
  Compare 55 and 84
  No swap needed
  Compare 84 and -82
  Swap 84 and -82
  List after swap: [-80, -94, -71, 55, -82, 84, 24]
  Compare 84 and 24
  Swap 84 and 24
  List after swap: [-80, -94, -71, 55, -82, 24, 84]

Pass 2:
  Compare -80 and -94
  Swap -80 and -94
  List after swap: [-94, -80, -71, 55, -82, 24, 84]
  Compare -80 and -71
  No swap needed
  Compare -71 and 55
  No swap needed
  Compare 55 and -82
  Swap 55 and -82
  List after swap: [-94, -80, -71, -82, 55, 24, 84]
  Compare 55 and 24
  Swap 55 and 24
  List after swap: [-94, -80, -71, -82, 24, 55, 84]

Pass 3:
  Compare -94 and -80
  No swap needed
  Compare -80 and -71
  No swap needed
  Compare -71 and -82
  Swap -71 and -82
  List after swap: [-94, -80, -82, -71, 24, 55, 84]
  Compare -71 and 24
  No swap needed

Pass 4:
  Compare -94 and -80
  No swap needed
  Compare -80 and -82
  Swap -80 and -82
  List after swap: [-94, -82, -80, -71, 24, 55, 84]
  Compare -80 and -71
  No swap needed

Pass 5:
  Compare -94 and -82
  No swap needed
  Compare -82 and -80
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -82, -80, -71, 24, 55, 84]
</think>

<response>-94, -82, -80, -71, 24, 55, 84</response>


input: Using the bubble sort method, sort -25, 53, -16 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-25, 53, -16]

Pass 1:
  Compare -25 and 53
  No swap needed
  Compare 53 and -16
  Swap 53 and -16
  List after swap: [-25, -16, 53]

Pass 2:
  Compare -25 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-25, -16, 53]
</think>

<response>-25, -16, 53</response>


input: Implement bubble sort on 3, -63, -16, 13, -66, -35, -82, 4, -61 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [3, -63, -16, 13, -66, -35, -82, 4, -61]

Pass 1:
  Compare 3 and -63
  Swap 3 and -63
  List after swap: [-63, 3, -16, 13, -66, -35, -82, 4, -61]
  Compare 3 and -16
  Swap 3 and -16
  List after swap: [-63, -16, 3, 13, -66, -35, -82, 4, -61]
  Compare 3 and 13
  No swap needed
  Compare 13 and -66
  Swap 13 and -66
  List after swap: [-63, -16, 3, -66, 13, -35, -82, 4, -61]
  Compare 13 and -35
  Swap 13 and -35
  List after swap: [-63, -16, 3, -66, -35, 13, -82, 4, -61]
  Compare 13 and -82
  Swap 13 and -82
  List after swap: [-63, -16, 3, -66, -35, -82, 13, 4, -61]
  Compare 13 and 4
  Swap 13 and 4
  List after swap: [-63, -16, 3, -66, -35, -82, 4, 13, -61]
  Compare 13 and -61
  Swap 13 and -61
  List after swap: [-63, -16, 3, -66, -35, -82, 4, -61, 13]

Pass 2:
  Compare -63 and -16
  No swap needed
  Compare -16 and 3
  No swap needed
  Compare 3 and -66
  Swap 3 and -66
  List after swap: [-63, -16, -66, 3, -35, -82, 4, -61, 13]
  Compare 3 and -35
  Swap 3 and -35
  List after swap: [-63, -16, -66, -35, 3, -82, 4, -61, 13]
  Compare 3 and -82
  Swap 3 and -82
  List after swap: [-63, -16, -66, -35, -82, 3, 4, -61, 13]
  Compare 3 and 4
  No swap needed
  Compare 4 and -61
  Swap 4 and -61
  List after swap: [-63, -16, -66, -35, -82, 3, -61, 4, 13]

Pass 3:
  Compare -63 and -16
  No swap needed
  Compare -16 and -66
  Swap -16 and -66
  List after swap: [-63, -66, -16, -35, -82, 3, -61, 4, 13]
  Compare -16 and -35
  Swap -16 and -35
  List after swap: [-63, -66, -35, -16, -82, 3, -61, 4, 13]
  Compare -16 and -82
  Swap -16 and -82
  List after swap: [-63, -66, -35, -82, -16, 3, -61, 4, 13]
  Compare -16 and 3
  No swap needed
  Compare 3 and -61
  Swap 3 and -61
  List after swap: [-63, -66, -35, -82, -16, -61, 3, 4, 13]

Pass 4:
  Compare -63 and -66
  Swap -63 and -66
  List after swap: [-66, -63, -35, -82, -16, -61, 3, 4, 13]
  Compare -63 and -35
  No swap needed
  Compare -35 and -82
  Swap -35 and -82
  List after swap: [-66, -63, -82, -35, -16, -61, 3, 4, 13]
  Compare -35 and -16
  No swap needed
  Compare -16 and -61
  Swap -16 and -61
  List after swap: [-66, -63, -82, -35, -61, -16, 3, 4, 13]

Pass 5:
  Compare -66 and -63
  No swap needed
  Compare -63 and -82
  Swap -63 and -82
  List after swap: [-66, -82, -63, -35, -61, -16, 3, 4, 13]
  Compare -63 and -35
  No swap needed
  Compare -35 and -61
  Swap -35 and -61
  List after swap: [-66, -82, -63, -61, -35, -16, 3, 4, 13]

Pass 6:
  Compare -66 and -82
  Swap -66 and -82
  List after swap: [-82, -66, -63, -61, -35, -16, 3, 4, 13]
  Compare -66 and -63
  No swap needed
  Compare -63 and -61
  No swap needed

Pass 7:
  Compare -82 and -66
  No swap needed
  Compare -66 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -66, -63, -61, -35, -16, 3, 4, 13]
</think>

<response>-82, -66, -63, -61, -35, -16, 3, 4, 13</response>


input: Sort these integers 88, 34, 77, 46, 42, -77 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [88, 34, 77, 46, 42, -77]

Pass 1:
  Compare 88 and 34
  Swap 88 and 34
  List after swap: [34, 88, 77, 46, 42, -77]
  Compare 88 and 77
  Swap 88 and 77
  List after swap: [34, 77, 88, 46, 42, -77]
  Compare 88 and 46
  Swap 88 and 46
  List after swap: [34, 77, 46, 88, 42, -77]
  Compare 88 and 42
  Swap 88 and 42
  List after swap: [34, 77, 46, 42, 88, -77]
  Compare 88 and -77
  Swap 88 and -77
  List after swap: [34, 77, 46, 42, -77, 88]

Pass 2:
  Compare 34 and 77
  No swap needed
  Compare 77 and 46
  Swap 77 and 46
  List after swap: [34, 46, 77, 42, -77, 88]
  Compare 77 and 42
  Swap 77 and 42
  List after swap: [34, 46, 42, 77, -77, 88]
  Compare 77 and -77
  Swap 77 and -77
  List after swap: [34, 46, 42, -77, 77, 88]

Pass 3:
  Compare 34 and 46
  No swap needed
  Compare 46 and 42
  Swap 46 and 42
  List after swap: [34, 42, 46, -77, 77, 88]
  Compare 46 and -77
  Swap 46 and -77
  List after swap: [34, 42, -77, 46, 77, 88]

Pass 4:
  Compare 34 and 42
  No swap needed
  Compare 42 and -77
  Swap 42 and -77
  List after swap: [34, -77, 42, 46, 77, 88]

Pass 5:
  Compare 34 and -77
  Swap 34 and -77
  List after swap: [-77, 34, 42, 46, 77, 88]

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

Final sorted list: [-77, 34, 42, 46, 77, 88]
</think>

<response>-77, 34, 42, 46, 77, 88</response>


input: Carry out the bubble sort algorithm on -62, -86, 19, -47, -25, 7, 84 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-62, -86, 19, -47, -25, 7, 84]

Pass 1:
  Compare -62 and -86
  Swap -62 and -86
  List after swap: [-86, -62, 19, -47, -25, 7, 84]
  Compare -62 and 19
  No swap needed
  Compare 19 and -47
  Swap 19 and -47
  List after swap: [-86, -62, -47, 19, -25, 7, 84]
  Compare 19 and -25
  Swap 19 and -25
  List after swap: [-86, -62, -47, -25, 19, 7, 84]
  Compare 19 and 7
  Swap 19 and 7
  List after swap: [-86, -62, -47, -25, 7, 19, 84]
  Compare 19 and 84
  No swap needed

Pass 2:
  Compare -86 and -62
  No swap needed
  Compare -62 and -47
  No swap needed
  Compare -47 and -25
  No swap needed
  Compare -25 and 7
  No swap needed
  Compare 7 and 19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -62, -47, -25, 7, 19, 84]
</think>

<response>-86, -62, -47, -25, 7, 19, 84</response>


input: Sort the list -67, -22, -81, 48, 84, -63, -6, 25, 53, 54 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-67, -22, -81, 48, 84, -63, -6, 25, 53, 54]

Pass 1:
  Compare -67 and -22
  No swap needed
  Compare -22 and -81
  Swap -22 and -81
  List after swap: [-67, -81, -22, 48, 84, -63, -6, 25, 53, 54]
  Compare -22 and 48
  No swap needed
  Compare 48 and 84
  No swap needed
  Compare 84 and -63
  Swap 84 and -63
  List after swap: [-67, -81, -22, 48, -63, 84, -6, 25, 53, 54]
  Compare 84 and -6
  Swap 84 and -6
  List after swap: [-67, -81, -22, 48, -63, -6, 84, 25, 53, 54]
  Compare 84 and 25
  Swap 84 and 25
  List after swap: [-67, -81, -22, 48, -63, -6, 25, 84, 53, 54]
  Compare 84 and 53
  Swap 84 and 53
  List after swap: [-67, -81, -22, 48, -63, -6, 25, 53, 84, 54]
  Compare 84 and 54
  Swap 84 and 54
  List after swap: [-67, -81, -22, 48, -63, -6, 25, 53, 54, 84]

Pass 2:
  Compare -67 and -81
  Swap -67 and -81
  List after swap: [-81, -67, -22, 48, -63, -6, 25, 53, 54, 84]
  Compare -67 and -22
  No swap needed
  Compare -22 and 48
  No swap needed
  Compare 48 and -63
  Swap 48 and -63
  List after swap: [-81, -67, -22, -63, 48, -6, 25, 53, 54, 84]
  Compare 48 and -6
  Swap 48 and -6
  List after swap: [-81, -67, -22, -63, -6, 48, 25, 53, 54, 84]
  Compare 48 and 25
  Swap 48 and 25
  List after swap: [-81, -67, -22, -63, -6, 25, 48, 53, 54, 84]
  Compare 48 and 53
  No swap needed
  Compare 53 and 54
  No swap needed

Pass 3:
  Compare -81 and -67
  No swap needed
  Compare -67 and -22
  No swap needed
  Compare -22 and -63
  Swap -22 and -63
  List after swap: [-81, -67, -63, -22, -6, 25, 48, 53, 54, 84]
  Compare -22 and -6
  No swap needed
  Compare -6 and 25
  No swap needed
  Compare 25 and 48
  No swap needed
  Compare 48 and 53
  No swap needed

Pass 4:
  Compare -81 and -67
  No swap needed
  Compare -67 and -63
  No swap needed
  Compare -63 and -22
  No swap needed
  Compare -22 and -6
  No swap needed
  Compare -6 and 25
  No swap needed
  Compare 25 and 48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -67, -63, -22, -6, 25, 48, 53, 54, 84]
</think>

<response>-81, -67, -63, -22, -6, 25, 48, 53, 54, 84</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -22, 77.

output:
<think>
Initial list: [-22, 77]

Pass 1:
  Compare -22 and 77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-22, 77]
</think>

<response>-22, 77</response>


input: Using the bubble sort method, sort 3, -83, -80, 82, 48 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [3, -83, -80, 82, 48]

Pass 1:
  Compare 3 and -83
  Swap 3 and -83
  List after swap: [-83, 3, -80, 82, 48]
  Compare 3 and -80
  Swap 3 and -80
  List after swap: [-83, -80, 3, 82, 48]
  Compare 3 and 82
  No swap needed
  Compare 82 and 48
  Swap 82 and 48
  List after swap: [-83, -80, 3, 48, 82]

Pass 2:
  Compare -83 and -80
  No swap needed
  Compare -80 and 3
  No swap needed
  Compare 3 and 48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -80, 3, 48, 82]
</think>

<response>-83, -80, 3, 48, 82</response>


input: Execute bubble sort to sort -90, -86 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-90, -86]

Pass 1:
  Compare -90 and -86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -86]
</think>

<response>-90, -86</response>