input: Demonstrate how bubble sort orders the integers 9, -16, -14, 27, 83, -75, -25, -87, -6 in ascending sequence, showing all steps.

output:
<think>
Initial list: [9, -16, -14, 27, 83, -75, -25, -87, -6]

Pass 1:
  Compare 9 and -16
  Swap 9 and -16
  List after swap: [-16, 9, -14, 27, 83, -75, -25, -87, -6]
  Compare 9 and -14
  Swap 9 and -14
  List after swap: [-16, -14, 9, 27, 83, -75, -25, -87, -6]
  Compare 9 and 27
  No swap needed
  Compare 27 and 83
  No swap needed
  Compare 83 and -75
  Swap 83 and -75
  List after swap: [-16, -14, 9, 27, -75, 83, -25, -87, -6]
  Compare 83 and -25
  Swap 83 and -25
  List after swap: [-16, -14, 9, 27, -75, -25, 83, -87, -6]
  Compare 83 and -87
  Swap 83 and -87
  List after swap: [-16, -14, 9, 27, -75, -25, -87, 83, -6]
  Compare 83 and -6
  Swap 83 and -6
  List after swap: [-16, -14, 9, 27, -75, -25, -87, -6, 83]

Pass 2:
  Compare -16 and -14
  No swap needed
  Compare -14 and 9
  No swap needed
  Compare 9 and 27
  No swap needed
  Compare 27 and -75
  Swap 27 and -75
  List after swap: [-16, -14, 9, -75, 27, -25, -87, -6, 83]
  Compare 27 and -25
  Swap 27 and -25
  List after swap: [-16, -14, 9, -75, -25, 27, -87, -6, 83]
  Compare 27 and -87
  Swap 27 and -87
  List after swap: [-16, -14, 9, -75, -25, -87, 27, -6, 83]
  Compare 27 and -6
  Swap 27 and -6
  List after swap: [-16, -14, 9, -75, -25, -87, -6, 27, 83]

Pass 3:
  Compare -16 and -14
  No swap needed
  Compare -14 and 9
  No swap needed
  Compare 9 and -75
  Swap 9 and -75
  List after swap: [-16, -14, -75, 9, -25, -87, -6, 27, 83]
  Compare 9 and -25
  Swap 9 and -25
  List after swap: [-16, -14, -75, -25, 9, -87, -6, 27, 83]
  Compare 9 and -87
  Swap 9 and -87
  List after swap: [-16, -14, -75, -25, -87, 9, -6, 27, 83]
  Compare 9 and -6
  Swap 9 and -6
  List after swap: [-16, -14, -75, -25, -87, -6, 9, 27, 83]

Pass 4:
  Compare -16 and -14
  No swap needed
  Compare -14 and -75
  Swap -14 and -75
  List after swap: [-16, -75, -14, -25, -87, -6, 9, 27, 83]
  Compare -14 and -25
  Swap -14 and -25
  List after swap: [-16, -75, -25, -14, -87, -6, 9, 27, 83]
  Compare -14 and -87
  Swap -14 and -87
  List after swap: [-16, -75, -25, -87, -14, -6, 9, 27, 83]
  Compare -14 and -6
  No swap needed

Pass 5:
  Compare -16 and -75
  Swap -16 and -75
  List after swap: [-75, -16, -25, -87, -14, -6, 9, 27, 83]
  Compare -16 and -25
  Swap -16 and -25
  List after swap: [-75, -25, -16, -87, -14, -6, 9, 27, 83]
  Compare -16 and -87
  Swap -16 and -87
  List after swap: [-75, -25, -87, -16, -14, -6, 9, 27, 83]
  Compare -16 and -14
  No swap needed

Pass 6:
  Compare -75 and -25
  No swap needed
  Compare -25 and -87
  Swap -25 and -87
  List after swap: [-75, -87, -25, -16, -14, -6, 9, 27, 83]
  Compare -25 and -16
  No swap needed

Pass 7:
  Compare -75 and -87
  Swap -75 and -87
  List after swap: [-87, -75, -25, -16, -14, -6, 9, 27, 83]
  Compare -75 and -25
  No swap needed

Pass 8:
  Compare -87 and -75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -75, -25, -16, -14, -6, 9, 27, 83]
</think>

<response>-87, -75, -25, -16, -14, -6, 9, 27, 83</response>


input: Carry out the bubble sort algorithm on -5, 23, 58, 43, -52, -58, -87 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-5, 23, 58, 43, -52, -58, -87]

Pass 1:
  Compare -5 and 23
  No swap needed
  Compare 23 and 58
  No swap needed
  Compare 58 and 43
  Swap 58 and 43
  List after swap: [-5, 23, 43, 58, -52, -58, -87]
  Compare 58 and -52
  Swap 58 and -52
  List after swap: [-5, 23, 43, -52, 58, -58, -87]
  Compare 58 and -58
  Swap 58 and -58
  List after swap: [-5, 23, 43, -52, -58, 58, -87]
  Compare 58 and -87
  Swap 58 and -87
  List after swap: [-5, 23, 43, -52, -58, -87, 58]

Pass 2:
  Compare -5 and 23
  No swap needed
  Compare 23 and 43
  No swap needed
  Compare 43 and -52
  Swap 43 and -52
  List after swap: [-5, 23, -52, 43, -58, -87, 58]
  Compare 43 and -58
  Swap 43 and -58
  List after swap: [-5, 23, -52, -58, 43, -87, 58]
  Compare 43 and -87
  Swap 43 and -87
  List after swap: [-5, 23, -52, -58, -87, 43, 58]

Pass 3:
  Compare -5 and 23
  No swap needed
  Compare 23 and -52
  Swap 23 and -52
  List after swap: [-5, -52, 23, -58, -87, 43, 58]
  Compare 23 and -58
  Swap 23 and -58
  List after swap: [-5, -52, -58, 23, -87, 43, 58]
  Compare 23 and -87
  Swap 23 and -87
  List after swap: [-5, -52, -58, -87, 23, 43, 58]

Pass 4:
  Compare -5 and -52
  Swap -5 and -52
  List after swap: [-52, -5, -58, -87, 23, 43, 58]
  Compare -5 and -58
  Swap -5 and -58
  List after swap: [-52, -58, -5, -87, 23, 43, 58]
  Compare -5 and -87
  Swap -5 and -87
  List after swap: [-52, -58, -87, -5, 23, 43, 58]

Pass 5:
  Compare -52 and -58
  Swap -52 and -58
  List after swap: [-58, -52, -87, -5, 23, 43, 58]
  Compare -52 and -87
  Swap -52 and -87
  List after swap: [-58, -87, -52, -5, 23, 43, 58]

Pass 6:
  Compare -58 and -87
  Swap -58 and -87
  List after swap: [-87, -58, -52, -5, 23, 43, 58]

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

Final sorted list: [-87, -58, -52, -5, 23, 43, 58]
</think>

<response>-87, -58, -52, -5, 23, 43, 58</response>


input: Sort these integers -31, 13, 59, -90, 7, 75, 3, 48, 37 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-31, 13, 59, -90, 7, 75, 3, 48, 37]

Pass 1:
  Compare -31 and 13
  No swap needed
  Compare 13 and 59
  No swap needed
  Compare 59 and -90
  Swap 59 and -90
  List after swap: [-31, 13, -90, 59, 7, 75, 3, 48, 37]
  Compare 59 and 7
  Swap 59 and 7
  List after swap: [-31, 13, -90, 7, 59, 75, 3, 48, 37]
  Compare 59 and 75
  No swap needed
  Compare 75 and 3
  Swap 75 and 3
  List after swap: [-31, 13, -90, 7, 59, 3, 75, 48, 37]
  Compare 75 and 48
  Swap 75 and 48
  List after swap: [-31, 13, -90, 7, 59, 3, 48, 75, 37]
  Compare 75 and 37
  Swap 75 and 37
  List after swap: [-31, 13, -90, 7, 59, 3, 48, 37, 75]

Pass 2:
  Compare -31 and 13
  No swap needed
  Compare 13 and -90
  Swap 13 and -90
  List after swap: [-31, -90, 13, 7, 59, 3, 48, 37, 75]
  Compare 13 and 7
  Swap 13 and 7
  List after swap: [-31, -90, 7, 13, 59, 3, 48, 37, 75]
  Compare 13 and 59
  No swap needed
  Compare 59 and 3
  Swap 59 and 3
  List after swap: [-31, -90, 7, 13, 3, 59, 48, 37, 75]
  Compare 59 and 48
  Swap 59 and 48
  List after swap: [-31, -90, 7, 13, 3, 48, 59, 37, 75]
  Compare 59 and 37
  Swap 59 and 37
  List after swap: [-31, -90, 7, 13, 3, 48, 37, 59, 75]

Pass 3:
  Compare -31 and -90
  Swap -31 and -90
  List after swap: [-90, -31, 7, 13, 3, 48, 37, 59, 75]
  Compare -31 and 7
  No swap needed
  Compare 7 and 13
  No swap needed
  Compare 13 and 3
  Swap 13 and 3
  List after swap: [-90, -31, 7, 3, 13, 48, 37, 59, 75]
  Compare 13 and 48
  No swap needed
  Compare 48 and 37
  Swap 48 and 37
  List after swap: [-90, -31, 7, 3, 13, 37, 48, 59, 75]

Pass 4:
  Compare -90 and -31
  No swap needed
  Compare -31 and 7
  No swap needed
  Compare 7 and 3
  Swap 7 and 3
  List after swap: [-90, -31, 3, 7, 13, 37, 48, 59, 75]
  Compare 7 and 13
  No swap needed
  Compare 13 and 37
  No swap needed

Pass 5:
  Compare -90 and -31
  No swap needed
  Compare -31 and 3
  No swap needed
  Compare 3 and 7
  No swap needed
  Compare 7 and 13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -31, 3, 7, 13, 37, 48, 59, 75]
</think>

<response>-90, -31, 3, 7, 13, 37, 48, 59, 75</response>


input: Perform a bubble sort on the integers 8, -73, 78, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [8, -73, 78]

Pass 1:
  Compare 8 and -73
  Swap 8 and -73
  List after swap: [-73, 8, 78]
  Compare 8 and 78
  No swap needed

Pass 2:
  Compare -73 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, 8, 78]
</think>

<response>-73, 8, 78</response>


input: Carry out the bubble sort algorithm on 37, 33, -14, -59, -86, 72 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [37, 33, -14, -59, -86, 72]

Pass 1:
  Compare 37 and 33
  Swap 37 and 33
  List after swap: [33, 37, -14, -59, -86, 72]
  Compare 37 and -14
  Swap 37 and -14
  List after swap: [33, -14, 37, -59, -86, 72]
  Compare 37 and -59
  Swap 37 and -59
  List after swap: [33, -14, -59, 37, -86, 72]
  Compare 37 and -86
  Swap 37 and -86
  List after swap: [33, -14, -59, -86, 37, 72]
  Compare 37 and 72
  No swap needed

Pass 2:
  Compare 33 and -14
  Swap 33 and -14
  List after swap: [-14, 33, -59, -86, 37, 72]
  Compare 33 and -59
  Swap 33 and -59
  List after swap: [-14, -59, 33, -86, 37, 72]
  Compare 33 and -86
  Swap 33 and -86
  List after swap: [-14, -59, -86, 33, 37, 72]
  Compare 33 and 37
  No swap needed

Pass 3:
  Compare -14 and -59
  Swap -14 and -59
  List after swap: [-59, -14, -86, 33, 37, 72]
  Compare -14 and -86
  Swap -14 and -86
  List after swap: [-59, -86, -14, 33, 37, 72]
  Compare -14 and 33
  No swap needed

Pass 4:
  Compare -59 and -86
  Swap -59 and -86
  List after swap: [-86, -59, -14, 33, 37, 72]
  Compare -59 and -14
  No swap needed

Pass 5:
  Compare -86 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -59, -14, 33, 37, 72]
</think>

<response>-86, -59, -14, 33, 37, 72</response>


input: Implement bubble sort on -18, -14, -34, 20 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-18, -14, -34, 20]

Pass 1:
  Compare -18 and -14
  No swap needed
  Compare -14 and -34
  Swap -14 and -34
  List after swap: [-18, -34, -14, 20]
  Compare -14 and 20
  No swap needed

Pass 2:
  Compare -18 and -34
  Swap -18 and -34
  List after swap: [-34, -18, -14, 20]
  Compare -18 and -14
  No swap needed

Pass 3:
  Compare -34 and -18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-34, -18, -14, 20]
</think>

<response>-34, -18, -14, 20</response>


input: Using the bubble sort method, sort 70, -13, 3, -21, 44, -42, -63, 81, -50, -88 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [70, -13, 3, -21, 44, -42, -63, 81, -50, -88]

Pass 1:
  Compare 70 and -13
  Swap 70 and -13
  List after swap: [-13, 70, 3, -21, 44, -42, -63, 81, -50, -88]
  Compare 70 and 3
  Swap 70 and 3
  List after swap: [-13, 3, 70, -21, 44, -42, -63, 81, -50, -88]
  Compare 70 and -21
  Swap 70 and -21
  List after swap: [-13, 3, -21, 70, 44, -42, -63, 81, -50, -88]
  Compare 70 and 44
  Swap 70 and 44
  List after swap: [-13, 3, -21, 44, 70, -42, -63, 81, -50, -88]
  Compare 70 and -42
  Swap 70 and -42
  List after swap: [-13, 3, -21, 44, -42, 70, -63, 81, -50, -88]
  Compare 70 and -63
  Swap 70 and -63
  List after swap: [-13, 3, -21, 44, -42, -63, 70, 81, -50, -88]
  Compare 70 and 81
  No swap needed
  Compare 81 and -50
  Swap 81 and -50
  List after swap: [-13, 3, -21, 44, -42, -63, 70, -50, 81, -88]
  Compare 81 and -88
  Swap 81 and -88
  List after swap: [-13, 3, -21, 44, -42, -63, 70, -50, -88, 81]

Pass 2:
  Compare -13 and 3
  No swap needed
  Compare 3 and -21
  Swap 3 and -21
  List after swap: [-13, -21, 3, 44, -42, -63, 70, -50, -88, 81]
  Compare 3 and 44
  No swap needed
  Compare 44 and -42
  Swap 44 and -42
  List after swap: [-13, -21, 3, -42, 44, -63, 70, -50, -88, 81]
  Compare 44 and -63
  Swap 44 and -63
  List after swap: [-13, -21, 3, -42, -63, 44, 70, -50, -88, 81]
  Compare 44 and 70
  No swap needed
  Compare 70 and -50
  Swap 70 and -50
  List after swap: [-13, -21, 3, -42, -63, 44, -50, 70, -88, 81]
  Compare 70 and -88
  Swap 70 and -88
  List after swap: [-13, -21, 3, -42, -63, 44, -50, -88, 70, 81]

Pass 3:
  Compare -13 and -21
  Swap -13 and -21
  List after swap: [-21, -13, 3, -42, -63, 44, -50, -88, 70, 81]
  Compare -13 and 3
  No swap needed
  Compare 3 and -42
  Swap 3 and -42
  List after swap: [-21, -13, -42, 3, -63, 44, -50, -88, 70, 81]
  Compare 3 and -63
  Swap 3 and -63
  List after swap: [-21, -13, -42, -63, 3, 44, -50, -88, 70, 81]
  Compare 3 and 44
  No swap needed
  Compare 44 and -50
  Swap 44 and -50
  List after swap: [-21, -13, -42, -63, 3, -50, 44, -88, 70, 81]
  Compare 44 and -88
  Swap 44 and -88
  List after swap: [-21, -13, -42, -63, 3, -50, -88, 44, 70, 81]

Pass 4:
  Compare -21 and -13
  No swap needed
  Compare -13 and -42
  Swap -13 and -42
  List after swap: [-21, -42, -13, -63, 3, -50, -88, 44, 70, 81]
  Compare -13 and -63
  Swap -13 and -63
  List after swap: [-21, -42, -63, -13, 3, -50, -88, 44, 70, 81]
  Compare -13 and 3
  No swap needed
  Compare 3 and -50
  Swap 3 and -50
  List after swap: [-21, -42, -63, -13, -50, 3, -88, 44, 70, 81]
  Compare 3 and -88
  Swap 3 and -88
  List after swap: [-21, -42, -63, -13, -50, -88, 3, 44, 70, 81]

Pass 5:
  Compare -21 and -42
  Swap -21 and -42
  List after swap: [-42, -21, -63, -13, -50, -88, 3, 44, 70, 81]
  Compare -21 and -63
  Swap -21 and -63
  List after swap: [-42, -63, -21, -13, -50, -88, 3, 44, 70, 81]
  Compare -21 and -13
  No swap needed
  Compare -13 and -50
  Swap -13 and -50
  List after swap: [-42, -63, -21, -50, -13, -88, 3, 44, 70, 81]
  Compare -13 and -88
  Swap -13 and -88
  List after swap: [-42, -63, -21, -50, -88, -13, 3, 44, 70, 81]

Pass 6:
  Compare -42 and -63
  Swap -42 and -63
  List after swap: [-63, -42, -21, -50, -88, -13, 3, 44, 70, 81]
  Compare -42 and -21
  No swap needed
  Compare -21 and -50
  Swap -21 and -50
  List after swap: [-63, -42, -50, -21, -88, -13, 3, 44, 70, 81]
  Compare -21 and -88
  Swap -21 and -88
  List after swap: [-63, -42, -50, -88, -21, -13, 3, 44, 70, 81]

Pass 7:
  Compare -63 and -42
  No swap needed
  Compare -42 and -50
  Swap -42 and -50
  List after swap: [-63, -50, -42, -88, -21, -13, 3, 44, 70, 81]
  Compare -42 and -88
  Swap -42 and -88
  List after swap: [-63, -50, -88, -42, -21, -13, 3, 44, 70, 81]

Pass 8:
  Compare -63 and -50
  No swap needed
  Compare -50 and -88
  Swap -50 and -88
  List after swap: [-63, -88, -50, -42, -21, -13, 3, 44, 70, 81]

Pass 9:
  Compare -63 and -88
  Swap -63 and -88
  List after swap: [-88, -63, -50, -42, -21, -13, 3, 44, 70, 81]

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

Final sorted list: [-88, -63, -50, -42, -21, -13, 3, 44, 70, 81]
</think>

<response>-88, -63, -50, -42, -21, -13, 3, 44, 70, 81</response>


input: Using the bubble sort method, sort 6, -5, -99, -68, 20, 3, -65 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [6, -5, -99, -68, 20, 3, -65]

Pass 1:
  Compare 6 and -5
  Swap 6 and -5
  List after swap: [-5, 6, -99, -68, 20, 3, -65]
  Compare 6 and -99
  Swap 6 and -99
  List after swap: [-5, -99, 6, -68, 20, 3, -65]
  Compare 6 and -68
  Swap 6 and -68
  List after swap: [-5, -99, -68, 6, 20, 3, -65]
  Compare 6 and 20
  No swap needed
  Compare 20 and 3
  Swap 20 and 3
  List after swap: [-5, -99, -68, 6, 3, 20, -65]
  Compare 20 and -65
  Swap 20 and -65
  List after swap: [-5, -99, -68, 6, 3, -65, 20]

Pass 2:
  Compare -5 and -99
  Swap -5 and -99
  List after swap: [-99, -5, -68, 6, 3, -65, 20]
  Compare -5 and -68
  Swap -5 and -68
  List after swap: [-99, -68, -5, 6, 3, -65, 20]
  Compare -5 and 6
  No swap needed
  Compare 6 and 3
  Swap 6 and 3
  List after swap: [-99, -68, -5, 3, 6, -65, 20]
  Compare 6 and -65
  Swap 6 and -65
  List after swap: [-99, -68, -5, 3, -65, 6, 20]

Pass 3:
  Compare -99 and -68
  No swap needed
  Compare -68 and -5
  No swap needed
  Compare -5 and 3
  No swap needed
  Compare 3 and -65
  Swap 3 and -65
  List after swap: [-99, -68, -5, -65, 3, 6, 20]

Pass 4:
  Compare -99 and -68
  No swap needed
  Compare -68 and -5
  No swap needed
  Compare -5 and -65
  Swap -5 and -65
  List after swap: [-99, -68, -65, -5, 3, 6, 20]

Pass 5:
  Compare -99 and -68
  No swap needed
  Compare -68 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -68, -65, -5, 3, 6, 20]
</think>

<response>-99, -68, -65, -5, 3, 6, 20</response>


input: Sort these integers -74, 79, -41, 57, -23, -93, 47, 78, 53 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-74, 79, -41, 57, -23, -93, 47, 78, 53]

Pass 1:
  Compare -74 and 79
  No swap needed
  Compare 79 and -41
  Swap 79 and -41
  List after swap: [-74, -41, 79, 57, -23, -93, 47, 78, 53]
  Compare 79 and 57
  Swap 79 and 57
  List after swap: [-74, -41, 57, 79, -23, -93, 47, 78, 53]
  Compare 79 and -23
  Swap 79 and -23
  List after swap: [-74, -41, 57, -23, 79, -93, 47, 78, 53]
  Compare 79 and -93
  Swap 79 and -93
  List after swap: [-74, -41, 57, -23, -93, 79, 47, 78, 53]
  Compare 79 and 47
  Swap 79 and 47
  List after swap: [-74, -41, 57, -23, -93, 47, 79, 78, 53]
  Compare 79 and 78
  Swap 79 and 78
  List after swap: [-74, -41, 57, -23, -93, 47, 78, 79, 53]
  Compare 79 and 53
  Swap 79 and 53
  List after swap: [-74, -41, 57, -23, -93, 47, 78, 53, 79]

Pass 2:
  Compare -74 and -41
  No swap needed
  Compare -41 and 57
  No swap needed
  Compare 57 and -23
  Swap 57 and -23
  List after swap: [-74, -41, -23, 57, -93, 47, 78, 53, 79]
  Compare 57 and -93
  Swap 57 and -93
  List after swap: [-74, -41, -23, -93, 57, 47, 78, 53, 79]
  Compare 57 and 47
  Swap 57 and 47
  List after swap: [-74, -41, -23, -93, 47, 57, 78, 53, 79]
  Compare 57 and 78
  No swap needed
  Compare 78 and 53
  Swap 78 and 53
  List after swap: [-74, -41, -23, -93, 47, 57, 53, 78, 79]

Pass 3:
  Compare -74 and -41
  No swap needed
  Compare -41 and -23
  No swap needed
  Compare -23 and -93
  Swap -23 and -93
  List after swap: [-74, -41, -93, -23, 47, 57, 53, 78, 79]
  Compare -23 and 47
  No swap needed
  Compare 47 and 57
  No swap needed
  Compare 57 and 53
  Swap 57 and 53
  List after swap: [-74, -41, -93, -23, 47, 53, 57, 78, 79]

Pass 4:
  Compare -74 and -41
  No swap needed
  Compare -41 and -93
  Swap -41 and -93
  List after swap: [-74, -93, -41, -23, 47, 53, 57, 78, 79]
  Compare -41 and -23
  No swap needed
  Compare -23 and 47
  No swap needed
  Compare 47 and 53
  No swap needed

Pass 5:
  Compare -74 and -93
  Swap -74 and -93
  List after swap: [-93, -74, -41, -23, 47, 53, 57, 78, 79]
  Compare -74 and -41
  No swap needed
  Compare -41 and -23
  No swap needed
  Compare -23 and 47
  No swap needed

Pass 6:
  Compare -93 and -74
  No swap needed
  Compare -74 and -41
  No swap needed
  Compare -41 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -74, -41, -23, 47, 53, 57, 78, 79]
</think>

<response>-93, -74, -41, -23, 47, 53, 57, 78, 79</response>


input: Perform a bubble sort on the integers -29, -1, 39, 12, 34, 23, -83, 99, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-29, -1, 39, 12, 34, 23, -83, 99]

Pass 1:
  Compare -29 and -1
  No swap needed
  Compare -1 and 39
  No swap needed
  Compare 39 and 12
  Swap 39 and 12
  List after swap: [-29, -1, 12, 39, 34, 23, -83, 99]
  Compare 39 and 34
  Swap 39 and 34
  List after swap: [-29, -1, 12, 34, 39, 23, -83, 99]
  Compare 39 and 23
  Swap 39 and 23
  List after swap: [-29, -1, 12, 34, 23, 39, -83, 99]
  Compare 39 and -83
  Swap 39 and -83
  List after swap: [-29, -1, 12, 34, 23, -83, 39, 99]
  Compare 39 and 99
  No swap needed

Pass 2:
  Compare -29 and -1
  No swap needed
  Compare -1 and 12
  No swap needed
  Compare 12 and 34
  No swap needed
  Compare 34 and 23
  Swap 34 and 23
  List after swap: [-29, -1, 12, 23, 34, -83, 39, 99]
  Compare 34 and -83
  Swap 34 and -83
  List after swap: [-29, -1, 12, 23, -83, 34, 39, 99]
  Compare 34 and 39
  No swap needed

Pass 3:
  Compare -29 and -1
  No swap needed
  Compare -1 and 12
  No swap needed
  Compare 12 and 23
  No swap needed
  Compare 23 and -83
  Swap 23 and -83
  List after swap: [-29, -1, 12, -83, 23, 34, 39, 99]
  Compare 23 and 34
  No swap needed

Pass 4:
  Compare -29 and -1
  No swap needed
  Compare -1 and 12
  No swap needed
  Compare 12 and -83
  Swap 12 and -83
  List after swap: [-29, -1, -83, 12, 23, 34, 39, 99]
  Compare 12 and 23
  No swap needed

Pass 5:
  Compare -29 and -1
  No swap needed
  Compare -1 and -83
  Swap -1 and -83
  List after swap: [-29, -83, -1, 12, 23, 34, 39, 99]
  Compare -1 and 12
  No swap needed

Pass 6:
  Compare -29 and -83
  Swap -29 and -83
  List after swap: [-83, -29, -1, 12, 23, 34, 39, 99]
  Compare -29 and -1
  No swap needed

Pass 7:
  Compare -83 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -29, -1, 12, 23, 34, 39, 99]
</think>

<response>-83, -29, -1, 12, 23, 34, 39, 99</response>


input: Use the bubble sort technique to reorder -51, -88, 95, -27, 67, -58, 33, -43 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-51, -88, 95, -27, 67, -58, 33, -43]

Pass 1:
  Compare -51 and -88
  Swap -51 and -88
  List after swap: [-88, -51, 95, -27, 67, -58, 33, -43]
  Compare -51 and 95
  No swap needed
  Compare 95 and -27
  Swap 95 and -27
  List after swap: [-88, -51, -27, 95, 67, -58, 33, -43]
  Compare 95 and 67
  Swap 95 and 67
  List after swap: [-88, -51, -27, 67, 95, -58, 33, -43]
  Compare 95 and -58
  Swap 95 and -58
  List after swap: [-88, -51, -27, 67, -58, 95, 33, -43]
  Compare 95 and 33
  Swap 95 and 33
  List after swap: [-88, -51, -27, 67, -58, 33, 95, -43]
  Compare 95 and -43
  Swap 95 and -43
  List after swap: [-88, -51, -27, 67, -58, 33, -43, 95]

Pass 2:
  Compare -88 and -51
  No swap needed
  Compare -51 and -27
  No swap needed
  Compare -27 and 67
  No swap needed
  Compare 67 and -58
  Swap 67 and -58
  List after swap: [-88, -51, -27, -58, 67, 33, -43, 95]
  Compare 67 and 33
  Swap 67 and 33
  List after swap: [-88, -51, -27, -58, 33, 67, -43, 95]
  Compare 67 and -43
  Swap 67 and -43
  List after swap: [-88, -51, -27, -58, 33, -43, 67, 95]

Pass 3:
  Compare -88 and -51
  No swap needed
  Compare -51 and -27
  No swap needed
  Compare -27 and -58
  Swap -27 and -58
  List after swap: [-88, -51, -58, -27, 33, -43, 67, 95]
  Compare -27 and 33
  No swap needed
  Compare 33 and -43
  Swap 33 and -43
  List after swap: [-88, -51, -58, -27, -43, 33, 67, 95]

Pass 4:
  Compare -88 and -51
  No swap needed
  Compare -51 and -58
  Swap -51 and -58
  List after swap: [-88, -58, -51, -27, -43, 33, 67, 95]
  Compare -51 and -27
  No swap needed
  Compare -27 and -43
  Swap -27 and -43
  List after swap: [-88, -58, -51, -43, -27, 33, 67, 95]

Pass 5:
  Compare -88 and -58
  No swap needed
  Compare -58 and -51
  No swap needed
  Compare -51 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -58, -51, -43, -27, 33, 67, 95]
</think>

<response>-88, -58, -51, -43, -27, 33, 67, 95</response>


input: Execute bubble sort to sort -3, -67 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-3, -67]

Pass 1:
  Compare -3 and -67
  Swap -3 and -67
  List after swap: [-67, -3]

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

Final sorted list: [-67, -3]
</think>

<response>-67, -3</response>


input: Using the bubble sort method, sort 97, -4, 24 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [97, -4, 24]

Pass 1:
  Compare 97 and -4
  Swap 97 and -4
  List after swap: [-4, 97, 24]
  Compare 97 and 24
  Swap 97 and 24
  List after swap: [-4, 24, 97]

Pass 2:
  Compare -4 and 24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-4, 24, 97]
</think>

<response>-4, 24, 97</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -89, 35.

output:
<think>
Initial list: [-89, 35]

Pass 1:
  Compare -89 and 35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, 35]
</think>

<response>-89, 35</response>


input: Using the bubble sort method, sort -79, -59, -86 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-79, -59, -86]

Pass 1:
  Compare -79 and -59
  No swap needed
  Compare -59 and -86
  Swap -59 and -86
  List after swap: [-79, -86, -59]

Pass 2:
  Compare -79 and -86
  Swap -79 and -86
  List after swap: [-86, -79, -59]

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

Final sorted list: [-86, -79, -59]
</think>

<response>-86, -79, -59</response>


input: Execute bubble sort to sort -44, -95, -19, -77, 71, -47, -81, -48 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-44, -95, -19, -77, 71, -47, -81, -48]

Pass 1:
  Compare -44 and -95
  Swap -44 and -95
  List after swap: [-95, -44, -19, -77, 71, -47, -81, -48]
  Compare -44 and -19
  No swap needed
  Compare -19 and -77
  Swap -19 and -77
  List after swap: [-95, -44, -77, -19, 71, -47, -81, -48]
  Compare -19 and 71
  No swap needed
  Compare 71 and -47
  Swap 71 and -47
  List after swap: [-95, -44, -77, -19, -47, 71, -81, -48]
  Compare 71 and -81
  Swap 71 and -81
  List after swap: [-95, -44, -77, -19, -47, -81, 71, -48]
  Compare 71 and -48
  Swap 71 and -48
  List after swap: [-95, -44, -77, -19, -47, -81, -48, 71]

Pass 2:
  Compare -95 and -44
  No swap needed
  Compare -44 and -77
  Swap -44 and -77
  List after swap: [-95, -77, -44, -19, -47, -81, -48, 71]
  Compare -44 and -19
  No swap needed
  Compare -19 and -47
  Swap -19 and -47
  List after swap: [-95, -77, -44, -47, -19, -81, -48, 71]
  Compare -19 and -81
  Swap -19 and -81
  List after swap: [-95, -77, -44, -47, -81, -19, -48, 71]
  Compare -19 and -48
  Swap -19 and -48
  List after swap: [-95, -77, -44, -47, -81, -48, -19, 71]

Pass 3:
  Compare -95 and -77
  No swap needed
  Compare -77 and -44
  No swap needed
  Compare -44 and -47
  Swap -44 and -47
  List after swap: [-95, -77, -47, -44, -81, -48, -19, 71]
  Compare -44 and -81
  Swap -44 and -81
  List after swap: [-95, -77, -47, -81, -44, -48, -19, 71]
  Compare -44 and -48
  Swap -44 and -48
  List after swap: [-95, -77, -47, -81, -48, -44, -19, 71]

Pass 4:
  Compare -95 and -77
  No swap needed
  Compare -77 and -47
  No swap needed
  Compare -47 and -81
  Swap -47 and -81
  List after swap: [-95, -77, -81, -47, -48, -44, -19, 71]
  Compare -47 and -48
  Swap -47 and -48
  List after swap: [-95, -77, -81, -48, -47, -44, -19, 71]

Pass 5:
  Compare -95 and -77
  No swap needed
  Compare -77 and -81
  Swap -77 and -81
  List after swap: [-95, -81, -77, -48, -47, -44, -19, 71]
  Compare -77 and -48
  No swap needed

Pass 6:
  Compare -95 and -81
  No swap needed
  Compare -81 and -77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -81, -77, -48, -47, -44, -19, 71]
</think>

<response>-95, -81, -77, -48, -47, -44, -19, 71</response>


input: Using the bubble sort method, sort -68, 31, 92 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-68, 31, 92]

Pass 1:
  Compare -68 and 31
  No swap needed
  Compare 31 and 92
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, 31, 92]
</think>

<response>-68, 31, 92</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 22, 11, 93, 25, -62, -80, 55, -100.

output:
<think>
Initial list: [22, 11, 93, 25, -62, -80, 55, -100]

Pass 1:
  Compare 22 and 11
  Swap 22 and 11
  List after swap: [11, 22, 93, 25, -62, -80, 55, -100]
  Compare 22 and 93
  No swap needed
  Compare 93 and 25
  Swap 93 and 25
  List after swap: [11, 22, 25, 93, -62, -80, 55, -100]
  Compare 93 and -62
  Swap 93 and -62
  List after swap: [11, 22, 25, -62, 93, -80, 55, -100]
  Compare 93 and -80
  Swap 93 and -80
  List after swap: [11, 22, 25, -62, -80, 93, 55, -100]
  Compare 93 and 55
  Swap 93 and 55
  List after swap: [11, 22, 25, -62, -80, 55, 93, -100]
  Compare 93 and -100
  Swap 93 and -100
  List after swap: [11, 22, 25, -62, -80, 55, -100, 93]

Pass 2:
  Compare 11 and 22
  No swap needed
  Compare 22 and 25
  No swap needed
  Compare 25 and -62
  Swap 25 and -62
  List after swap: [11, 22, -62, 25, -80, 55, -100, 93]
  Compare 25 and -80
  Swap 25 and -80
  List after swap: [11, 22, -62, -80, 25, 55, -100, 93]
  Compare 25 and 55
  No swap needed
  Compare 55 and -100
  Swap 55 and -100
  List after swap: [11, 22, -62, -80, 25, -100, 55, 93]

Pass 3:
  Compare 11 and 22
  No swap needed
  Compare 22 and -62
  Swap 22 and -62
  List after swap: [11, -62, 22, -80, 25, -100, 55, 93]
  Compare 22 and -80
  Swap 22 and -80
  List after swap: [11, -62, -80, 22, 25, -100, 55, 93]
  Compare 22 and 25
  No swap needed
  Compare 25 and -100
  Swap 25 and -100
  List after swap: [11, -62, -80, 22, -100, 25, 55, 93]

Pass 4:
  Compare 11 and -62
  Swap 11 and -62
  List after swap: [-62, 11, -80, 22, -100, 25, 55, 93]
  Compare 11 and -80
  Swap 11 and -80
  List after swap: [-62, -80, 11, 22, -100, 25, 55, 93]
  Compare 11 and 22
  No swap needed
  Compare 22 and -100
  Swap 22 and -100
  List after swap: [-62, -80, 11, -100, 22, 25, 55, 93]

Pass 5:
  Compare -62 and -80
  Swap -62 and -80
  List after swap: [-80, -62, 11, -100, 22, 25, 55, 93]
  Compare -62 and 11
  No swap needed
  Compare 11 and -100
  Swap 11 and -100
  List after swap: [-80, -62, -100, 11, 22, 25, 55, 93]

Pass 6:
  Compare -80 and -62
  No swap needed
  Compare -62 and -100
  Swap -62 and -100
  List after swap: [-80, -100, -62, 11, 22, 25, 55, 93]

Pass 7:
  Compare -80 and -100
  Swap -80 and -100
  List after swap: [-100, -80, -62, 11, 22, 25, 55, 93]

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

Final sorted list: [-100, -80, -62, 11, 22, 25, 55, 93]
</think>

<response>-100, -80, -62, 11, 22, 25, 55, 93</response>


input: Demonstrate how bubble sort orders the integers 99, 23, -85, -68, 11, -90, 80, -46 in ascending sequence, showing all steps.

output:
<think>
Initial list: [99, 23, -85, -68, 11, -90, 80, -46]

Pass 1:
  Compare 99 and 23
  Swap 99 and 23
  List after swap: [23, 99, -85, -68, 11, -90, 80, -46]
  Compare 99 and -85
  Swap 99 and -85
  List after swap: [23, -85, 99, -68, 11, -90, 80, -46]
  Compare 99 and -68
  Swap 99 and -68
  List after swap: [23, -85, -68, 99, 11, -90, 80, -46]
  Compare 99 and 11
  Swap 99 and 11
  List after swap: [23, -85, -68, 11, 99, -90, 80, -46]
  Compare 99 and -90
  Swap 99 and -90
  List after swap: [23, -85, -68, 11, -90, 99, 80, -46]
  Compare 99 and 80
  Swap 99 and 80
  List after swap: [23, -85, -68, 11, -90, 80, 99, -46]
  Compare 99 and -46
  Swap 99 and -46
  List after swap: [23, -85, -68, 11, -90, 80, -46, 99]

Pass 2:
  Compare 23 and -85
  Swap 23 and -85
  List after swap: [-85, 23, -68, 11, -90, 80, -46, 99]
  Compare 23 and -68
  Swap 23 and -68
  List after swap: [-85, -68, 23, 11, -90, 80, -46, 99]
  Compare 23 and 11
  Swap 23 and 11
  List after swap: [-85, -68, 11, 23, -90, 80, -46, 99]
  Compare 23 and -90
  Swap 23 and -90
  List after swap: [-85, -68, 11, -90, 23, 80, -46, 99]
  Compare 23 and 80
  No swap needed
  Compare 80 and -46
  Swap 80 and -46
  List after swap: [-85, -68, 11, -90, 23, -46, 80, 99]

Pass 3:
  Compare -85 and -68
  No swap needed
  Compare -68 and 11
  No swap needed
  Compare 11 and -90
  Swap 11 and -90
  List after swap: [-85, -68, -90, 11, 23, -46, 80, 99]
  Compare 11 and 23
  No swap needed
  Compare 23 and -46
  Swap 23 and -46
  List after swap: [-85, -68, -90, 11, -46, 23, 80, 99]

Pass 4:
  Compare -85 and -68
  No swap needed
  Compare -68 and -90
  Swap -68 and -90
  List after swap: [-85, -90, -68, 11, -46, 23, 80, 99]
  Compare -68 and 11
  No swap needed
  Compare 11 and -46
  Swap 11 and -46
  List after swap: [-85, -90, -68, -46, 11, 23, 80, 99]

Pass 5:
  Compare -85 and -90
  Swap -85 and -90
  List after swap: [-90, -85, -68, -46, 11, 23, 80, 99]
  Compare -85 and -68
  No swap needed
  Compare -68 and -46
  No swap needed

Pass 6:
  Compare -90 and -85
  No swap needed
  Compare -85 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -85, -68, -46, 11, 23, 80, 99]
</think>

<response>-90, -85, -68, -46, 11, 23, 80, 99</response>


input: Carry out the bubble sort algorithm on -43, 83, 48, -34, -63, -32, -11 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-43, 83, 48, -34, -63, -32, -11]

Pass 1:
  Compare -43 and 83
  No swap needed
  Compare 83 and 48
  Swap 83 and 48
  List after swap: [-43, 48, 83, -34, -63, -32, -11]
  Compare 83 and -34
  Swap 83 and -34
  List after swap: [-43, 48, -34, 83, -63, -32, -11]
  Compare 83 and -63
  Swap 83 and -63
  List after swap: [-43, 48, -34, -63, 83, -32, -11]
  Compare 83 and -32
  Swap 83 and -32
  List after swap: [-43, 48, -34, -63, -32, 83, -11]
  Compare 83 and -11
  Swap 83 and -11
  List after swap: [-43, 48, -34, -63, -32, -11, 83]

Pass 2:
  Compare -43 and 48
  No swap needed
  Compare 48 and -34
  Swap 48 and -34
  List after swap: [-43, -34, 48, -63, -32, -11, 83]
  Compare 48 and -63
  Swap 48 and -63
  List after swap: [-43, -34, -63, 48, -32, -11, 83]
  Compare 48 and -32
  Swap 48 and -32
  List after swap: [-43, -34, -63, -32, 48, -11, 83]
  Compare 48 and -11
  Swap 48 and -11
  List after swap: [-43, -34, -63, -32, -11, 48, 83]

Pass 3:
  Compare -43 and -34
  No swap needed
  Compare -34 and -63
  Swap -34 and -63
  List after swap: [-43, -63, -34, -32, -11, 48, 83]
  Compare -34 and -32
  No swap needed
  Compare -32 and -11
  No swap needed

Pass 4:
  Compare -43 and -63
  Swap -43 and -63
  List after swap: [-63, -43, -34, -32, -11, 48, 83]
  Compare -43 and -34
  No swap needed
  Compare -34 and -32
  No swap needed

Pass 5:
  Compare -63 and -43
  No swap needed
  Compare -43 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -43, -34, -32, -11, 48, 83]
</think>

<response>-63, -43, -34, -32, -11, 48, 83</response>


input: Using the bubble sort method, sort 19, -74, -35, 35, 27 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [19, -74, -35, 35, 27]

Pass 1:
  Compare 19 and -74
  Swap 19 and -74
  List after swap: [-74, 19, -35, 35, 27]
  Compare 19 and -35
  Swap 19 and -35
  List after swap: [-74, -35, 19, 35, 27]
  Compare 19 and 35
  No swap needed
  Compare 35 and 27
  Swap 35 and 27
  List after swap: [-74, -35, 19, 27, 35]

Pass 2:
  Compare -74 and -35
  No swap needed
  Compare -35 and 19
  No swap needed
  Compare 19 and 27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -35, 19, 27, 35]
</think>

<response>-74, -35, 19, 27, 35</response>


input: Execute bubble sort to sort -73, -87, 89, 15, -15, -13, 17 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-73, -87, 89, 15, -15, -13, 17]

Pass 1:
  Compare -73 and -87
  Swap -73 and -87
  List after swap: [-87, -73, 89, 15, -15, -13, 17]
  Compare -73 and 89
  No swap needed
  Compare 89 and 15
  Swap 89 and 15
  List after swap: [-87, -73, 15, 89, -15, -13, 17]
  Compare 89 and -15
  Swap 89 and -15
  List after swap: [-87, -73, 15, -15, 89, -13, 17]
  Compare 89 and -13
  Swap 89 and -13
  List after swap: [-87, -73, 15, -15, -13, 89, 17]
  Compare 89 and 17
  Swap 89 and 17
  List after swap: [-87, -73, 15, -15, -13, 17, 89]

Pass 2:
  Compare -87 and -73
  No swap needed
  Compare -73 and 15
  No swap needed
  Compare 15 and -15
  Swap 15 and -15
  List after swap: [-87, -73, -15, 15, -13, 17, 89]
  Compare 15 and -13
  Swap 15 and -13
  List after swap: [-87, -73, -15, -13, 15, 17, 89]
  Compare 15 and 17
  No swap needed

Pass 3:
  Compare -87 and -73
  No swap needed
  Compare -73 and -15
  No swap needed
  Compare -15 and -13
  No swap needed
  Compare -13 and 15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -73, -15, -13, 15, 17, 89]
</think>

<response>-87, -73, -15, -13, 15, 17, 89</response>


input: Carry out the bubble sort algorithm on 3, 17, 64, -72, 96, -58 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [3, 17, 64, -72, 96, -58]

Pass 1:
  Compare 3 and 17
  No swap needed
  Compare 17 and 64
  No swap needed
  Compare 64 and -72
  Swap 64 and -72
  List after swap: [3, 17, -72, 64, 96, -58]
  Compare 64 and 96
  No swap needed
  Compare 96 and -58
  Swap 96 and -58
  List after swap: [3, 17, -72, 64, -58, 96]

Pass 2:
  Compare 3 and 17
  No swap needed
  Compare 17 and -72
  Swap 17 and -72
  List after swap: [3, -72, 17, 64, -58, 96]
  Compare 17 and 64
  No swap needed
  Compare 64 and -58
  Swap 64 and -58
  List after swap: [3, -72, 17, -58, 64, 96]

Pass 3:
  Compare 3 and -72
  Swap 3 and -72
  List after swap: [-72, 3, 17, -58, 64, 96]
  Compare 3 and 17
  No swap needed
  Compare 17 and -58
  Swap 17 and -58
  List after swap: [-72, 3, -58, 17, 64, 96]

Pass 4:
  Compare -72 and 3
  No swap needed
  Compare 3 and -58
  Swap 3 and -58
  List after swap: [-72, -58, 3, 17, 64, 96]

Pass 5:
  Compare -72 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -58, 3, 17, 64, 96]
</think>

<response>-72, -58, 3, 17, 64, 96</response>


input: Demonstrate how bubble sort orders the integers 92, -1, 42, -3 in ascending sequence, showing all steps.

output:
<think>
Initial list: [92, -1, 42, -3]

Pass 1:
  Compare 92 and -1
  Swap 92 and -1
  List after swap: [-1, 92, 42, -3]
  Compare 92 and 42
  Swap 92 and 42
  List after swap: [-1, 42, 92, -3]
  Compare 92 and -3
  Swap 92 and -3
  List after swap: [-1, 42, -3, 92]

Pass 2:
  Compare -1 and 42
  No swap needed
  Compare 42 and -3
  Swap 42 and -3
  List after swap: [-1, -3, 42, 92]

Pass 3:
  Compare -1 and -3
  Swap -1 and -3
  List after swap: [-3, -1, 42, 92]

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

Final sorted list: [-3, -1, 42, 92]
</think>

<response>-3, -1, 42, 92</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 80, -25.

output:
<think>
Initial list: [80, -25]

Pass 1:
  Compare 80 and -25
  Swap 80 and -25
  List after swap: [-25, 80]

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

Final sorted list: [-25, 80]
</think>

<response>-25, 80</response>


input: Use the bubble sort technique to reorder 3, 62, 79, -52 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [3, 62, 79, -52]

Pass 1:
  Compare 3 and 62
  No swap needed
  Compare 62 and 79
  No swap needed
  Compare 79 and -52
  Swap 79 and -52
  List after swap: [3, 62, -52, 79]

Pass 2:
  Compare 3 and 62
  No swap needed
  Compare 62 and -52
  Swap 62 and -52
  List after swap: [3, -52, 62, 79]

Pass 3:
  Compare 3 and -52
  Swap 3 and -52
  List after swap: [-52, 3, 62, 79]

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

Final sorted list: [-52, 3, 62, 79]
</think>

<response>-52, 3, 62, 79</response>


input: Implement bubble sort on 2, 53, -76, 18 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [2, 53, -76, 18]

Pass 1:
  Compare 2 and 53
  No swap needed
  Compare 53 and -76
  Swap 53 and -76
  List after swap: [2, -76, 53, 18]
  Compare 53 and 18
  Swap 53 and 18
  List after swap: [2, -76, 18, 53]

Pass 2:
  Compare 2 and -76
  Swap 2 and -76
  List after swap: [-76, 2, 18, 53]
  Compare 2 and 18
  No swap needed

Pass 3:
  Compare -76 and 2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, 2, 18, 53]
</think>

<response>-76, 2, 18, 53</response>


input: Perform a bubble sort on the integers -61, -24, -51, -86, -17, 7, -3, -13, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-61, -24, -51, -86, -17, 7, -3, -13]

Pass 1:
  Compare -61 and -24
  No swap needed
  Compare -24 and -51
  Swap -24 and -51
  List after swap: [-61, -51, -24, -86, -17, 7, -3, -13]
  Compare -24 and -86
  Swap -24 and -86
  List after swap: [-61, -51, -86, -24, -17, 7, -3, -13]
  Compare -24 and -17
  No swap needed
  Compare -17 and 7
  No swap needed
  Compare 7 and -3
  Swap 7 and -3
  List after swap: [-61, -51, -86, -24, -17, -3, 7, -13]
  Compare 7 and -13
  Swap 7 and -13
  List after swap: [-61, -51, -86, -24, -17, -3, -13, 7]

Pass 2:
  Compare -61 and -51
  No swap needed
  Compare -51 and -86
  Swap -51 and -86
  List after swap: [-61, -86, -51, -24, -17, -3, -13, 7]
  Compare -51 and -24
  No swap needed
  Compare -24 and -17
  No swap needed
  Compare -17 and -3
  No swap needed
  Compare -3 and -13
  Swap -3 and -13
  List after swap: [-61, -86, -51, -24, -17, -13, -3, 7]

Pass 3:
  Compare -61 and -86
  Swap -61 and -86
  List after swap: [-86, -61, -51, -24, -17, -13, -3, 7]
  Compare -61 and -51
  No swap needed
  Compare -51 and -24
  No swap needed
  Compare -24 and -17
  No swap needed
  Compare -17 and -13
  No swap needed

Pass 4:
  Compare -86 and -61
  No swap needed
  Compare -61 and -51
  No swap needed
  Compare -51 and -24
  No swap needed
  Compare -24 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -61, -51, -24, -17, -13, -3, 7]
</think>

<response>-86, -61, -51, -24, -17, -13, -3, 7</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -14, 20, -17, 59, 1, 4, -27, -84, 56.

output:
<think>
Initial list: [-14, 20, -17, 59, 1, 4, -27, -84, 56]

Pass 1:
  Compare -14 and 20
  No swap needed
  Compare 20 and -17
  Swap 20 and -17
  List after swap: [-14, -17, 20, 59, 1, 4, -27, -84, 56]
  Compare 20 and 59
  No swap needed
  Compare 59 and 1
  Swap 59 and 1
  List after swap: [-14, -17, 20, 1, 59, 4, -27, -84, 56]
  Compare 59 and 4
  Swap 59 and 4
  List after swap: [-14, -17, 20, 1, 4, 59, -27, -84, 56]
  Compare 59 and -27
  Swap 59 and -27
  List after swap: [-14, -17, 20, 1, 4, -27, 59, -84, 56]
  Compare 59 and -84
  Swap 59 and -84
  List after swap: [-14, -17, 20, 1, 4, -27, -84, 59, 56]
  Compare 59 and 56
  Swap 59 and 56
  List after swap: [-14, -17, 20, 1, 4, -27, -84, 56, 59]

Pass 2:
  Compare -14 and -17
  Swap -14 and -17
  List after swap: [-17, -14, 20, 1, 4, -27, -84, 56, 59]
  Compare -14 and 20
  No swap needed
  Compare 20 and 1
  Swap 20 and 1
  List after swap: [-17, -14, 1, 20, 4, -27, -84, 56, 59]
  Compare 20 and 4
  Swap 20 and 4
  List after swap: [-17, -14, 1, 4, 20, -27, -84, 56, 59]
  Compare 20 and -27
  Swap 20 and -27
  List after swap: [-17, -14, 1, 4, -27, 20, -84, 56, 59]
  Compare 20 and -84
  Swap 20 and -84
  List after swap: [-17, -14, 1, 4, -27, -84, 20, 56, 59]
  Compare 20 and 56
  No swap needed

Pass 3:
  Compare -17 and -14
  No swap needed
  Compare -14 and 1
  No swap needed
  Compare 1 and 4
  No swap needed
  Compare 4 and -27
  Swap 4 and -27
  List after swap: [-17, -14, 1, -27, 4, -84, 20, 56, 59]
  Compare 4 and -84
  Swap 4 and -84
  List after swap: [-17, -14, 1, -27, -84, 4, 20, 56, 59]
  Compare 4 and 20
  No swap needed

Pass 4:
  Compare -17 and -14
  No swap needed
  Compare -14 and 1
  No swap needed
  Compare 1 and -27
  Swap 1 and -27
  List after swap: [-17, -14, -27, 1, -84, 4, 20, 56, 59]
  Compare 1 and -84
  Swap 1 and -84
  List after swap: [-17, -14, -27, -84, 1, 4, 20, 56, 59]
  Compare 1 and 4
  No swap needed

Pass 5:
  Compare -17 and -14
  No swap needed
  Compare -14 and -27
  Swap -14 and -27
  List after swap: [-17, -27, -14, -84, 1, 4, 20, 56, 59]
  Compare -14 and -84
  Swap -14 and -84
  List after swap: [-17, -27, -84, -14, 1, 4, 20, 56, 59]
  Compare -14 and 1
  No swap needed

Pass 6:
  Compare -17 and -27
  Swap -17 and -27
  List after swap: [-27, -17, -84, -14, 1, 4, 20, 56, 59]
  Compare -17 and -84
  Swap -17 and -84
  List after swap: [-27, -84, -17, -14, 1, 4, 20, 56, 59]
  Compare -17 and -14
  No swap needed

Pass 7:
  Compare -27 and -84
  Swap -27 and -84
  List after swap: [-84, -27, -17, -14, 1, 4, 20, 56, 59]
  Compare -27 and -17
  No swap needed

Pass 8:
  Compare -84 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -27, -17, -14, 1, 4, 20, 56, 59]
</think>

<response>-84, -27, -17, -14, 1, 4, 20, 56, 59</response>


input: Using the bubble sort method, sort -59, 80, 66 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-59, 80, 66]

Pass 1:
  Compare -59 and 80
  No swap needed
  Compare 80 and 66
  Swap 80 and 66
  List after swap: [-59, 66, 80]

Pass 2:
  Compare -59 and 66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, 66, 80]
</think>

<response>-59, 66, 80</response>


input: Sort these integers -12, 58, 23, -47, -75, 50, 59 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-12, 58, 23, -47, -75, 50, 59]

Pass 1:
  Compare -12 and 58
  No swap needed
  Compare 58 and 23
  Swap 58 and 23
  List after swap: [-12, 23, 58, -47, -75, 50, 59]
  Compare 58 and -47
  Swap 58 and -47
  List after swap: [-12, 23, -47, 58, -75, 50, 59]
  Compare 58 and -75
  Swap 58 and -75
  List after swap: [-12, 23, -47, -75, 58, 50, 59]
  Compare 58 and 50
  Swap 58 and 50
  List after swap: [-12, 23, -47, -75, 50, 58, 59]
  Compare 58 and 59
  No swap needed

Pass 2:
  Compare -12 and 23
  No swap needed
  Compare 23 and -47
  Swap 23 and -47
  List after swap: [-12, -47, 23, -75, 50, 58, 59]
  Compare 23 and -75
  Swap 23 and -75
  List after swap: [-12, -47, -75, 23, 50, 58, 59]
  Compare 23 and 50
  No swap needed
  Compare 50 and 58
  No swap needed

Pass 3:
  Compare -12 and -47
  Swap -12 and -47
  List after swap: [-47, -12, -75, 23, 50, 58, 59]
  Compare -12 and -75
  Swap -12 and -75
  List after swap: [-47, -75, -12, 23, 50, 58, 59]
  Compare -12 and 23
  No swap needed
  Compare 23 and 50
  No swap needed

Pass 4:
  Compare -47 and -75
  Swap -47 and -75
  List after swap: [-75, -47, -12, 23, 50, 58, 59]
  Compare -47 and -12
  No swap needed
  Compare -12 and 23
  No swap needed

Pass 5:
  Compare -75 and -47
  No swap needed
  Compare -47 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -47, -12, 23, 50, 58, 59]
</think>

<response>-75, -47, -12, 23, 50, 58, 59</response>


input: Execute bubble sort to sort 62, 5, -55, -76, 77, 36, -6, -68, -19, -32 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [62, 5, -55, -76, 77, 36, -6, -68, -19, -32]

Pass 1:
  Compare 62 and 5
  Swap 62 and 5
  List after swap: [5, 62, -55, -76, 77, 36, -6, -68, -19, -32]
  Compare 62 and -55
  Swap 62 and -55
  List after swap: [5, -55, 62, -76, 77, 36, -6, -68, -19, -32]
  Compare 62 and -76
  Swap 62 and -76
  List after swap: [5, -55, -76, 62, 77, 36, -6, -68, -19, -32]
  Compare 62 and 77
  No swap needed
  Compare 77 and 36
  Swap 77 and 36
  List after swap: [5, -55, -76, 62, 36, 77, -6, -68, -19, -32]
  Compare 77 and -6
  Swap 77 and -6
  List after swap: [5, -55, -76, 62, 36, -6, 77, -68, -19, -32]
  Compare 77 and -68
  Swap 77 and -68
  List after swap: [5, -55, -76, 62, 36, -6, -68, 77, -19, -32]
  Compare 77 and -19
  Swap 77 and -19
  List after swap: [5, -55, -76, 62, 36, -6, -68, -19, 77, -32]
  Compare 77 and -32
  Swap 77 and -32
  List after swap: [5, -55, -76, 62, 36, -6, -68, -19, -32, 77]

Pass 2:
  Compare 5 and -55
  Swap 5 and -55
  List after swap: [-55, 5, -76, 62, 36, -6, -68, -19, -32, 77]
  Compare 5 and -76
  Swap 5 and -76
  List after swap: [-55, -76, 5, 62, 36, -6, -68, -19, -32, 77]
  Compare 5 and 62
  No swap needed
  Compare 62 and 36
  Swap 62 and 36
  List after swap: [-55, -76, 5, 36, 62, -6, -68, -19, -32, 77]
  Compare 62 and -6
  Swap 62 and -6
  List after swap: [-55, -76, 5, 36, -6, 62, -68, -19, -32, 77]
  Compare 62 and -68
  Swap 62 and -68
  List after swap: [-55, -76, 5, 36, -6, -68, 62, -19, -32, 77]
  Compare 62 and -19
  Swap 62 and -19
  List after swap: [-55, -76, 5, 36, -6, -68, -19, 62, -32, 77]
  Compare 62 and -32
  Swap 62 and -32
  List after swap: [-55, -76, 5, 36, -6, -68, -19, -32, 62, 77]

Pass 3:
  Compare -55 and -76
  Swap -55 and -76
  List after swap: [-76, -55, 5, 36, -6, -68, -19, -32, 62, 77]
  Compare -55 and 5
  No swap needed
  Compare 5 and 36
  No swap needed
  Compare 36 and -6
  Swap 36 and -6
  List after swap: [-76, -55, 5, -6, 36, -68, -19, -32, 62, 77]
  Compare 36 and -68
  Swap 36 and -68
  List after swap: [-76, -55, 5, -6, -68, 36, -19, -32, 62, 77]
  Compare 36 and -19
  Swap 36 and -19
  List after swap: [-76, -55, 5, -6, -68, -19, 36, -32, 62, 77]
  Compare 36 and -32
  Swap 36 and -32
  List after swap: [-76, -55, 5, -6, -68, -19, -32, 36, 62, 77]

Pass 4:
  Compare -76 and -55
  No swap needed
  Compare -55 and 5
  No swap needed
  Compare 5 and -6
  Swap 5 and -6
  List after swap: [-76, -55, -6, 5, -68, -19, -32, 36, 62, 77]
  Compare 5 and -68
  Swap 5 and -68
  List after swap: [-76, -55, -6, -68, 5, -19, -32, 36, 62, 77]
  Compare 5 and -19
  Swap 5 and -19
  List after swap: [-76, -55, -6, -68, -19, 5, -32, 36, 62, 77]
  Compare 5 and -32
  Swap 5 and -32
  List after swap: [-76, -55, -6, -68, -19, -32, 5, 36, 62, 77]

Pass 5:
  Compare -76 and -55
  No swap needed
  Compare -55 and -6
  No swap needed
  Compare -6 and -68
  Swap -6 and -68
  List after swap: [-76, -55, -68, -6, -19, -32, 5, 36, 62, 77]
  Compare -6 and -19
  Swap -6 and -19
  List after swap: [-76, -55, -68, -19, -6, -32, 5, 36, 62, 77]
  Compare -6 and -32
  Swap -6 and -32
  List after swap: [-76, -55, -68, -19, -32, -6, 5, 36, 62, 77]

Pass 6:
  Compare -76 and -55
  No swap needed
  Compare -55 and -68
  Swap -55 and -68
  List after swap: [-76, -68, -55, -19, -32, -6, 5, 36, 62, 77]
  Compare -55 and -19
  No swap needed
  Compare -19 and -32
  Swap -19 and -32
  List after swap: [-76, -68, -55, -32, -19, -6, 5, 36, 62, 77]

Pass 7:
  Compare -76 and -68
  No swap needed
  Compare -68 and -55
  No swap needed
  Compare -55 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -68, -55, -32, -19, -6, 5, 36, 62, 77]
</think>

<response>-76, -68, -55, -32, -19, -6, 5, 36, 62, 77</response>


input: Execute bubble sort to sort -35, 14, -62, -71, 9, 65, -33, 78, 82, -84 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-35, 14, -62, -71, 9, 65, -33, 78, 82, -84]

Pass 1:
  Compare -35 and 14
  No swap needed
  Compare 14 and -62
  Swap 14 and -62
  List after swap: [-35, -62, 14, -71, 9, 65, -33, 78, 82, -84]
  Compare 14 and -71
  Swap 14 and -71
  List after swap: [-35, -62, -71, 14, 9, 65, -33, 78, 82, -84]
  Compare 14 and 9
  Swap 14 and 9
  List after swap: [-35, -62, -71, 9, 14, 65, -33, 78, 82, -84]
  Compare 14 and 65
  No swap needed
  Compare 65 and -33
  Swap 65 and -33
  List after swap: [-35, -62, -71, 9, 14, -33, 65, 78, 82, -84]
  Compare 65 and 78
  No swap needed
  Compare 78 and 82
  No swap needed
  Compare 82 and -84
  Swap 82 and -84
  List after swap: [-35, -62, -71, 9, 14, -33, 65, 78, -84, 82]

Pass 2:
  Compare -35 and -62
  Swap -35 and -62
  List after swap: [-62, -35, -71, 9, 14, -33, 65, 78, -84, 82]
  Compare -35 and -71
  Swap -35 and -71
  List after swap: [-62, -71, -35, 9, 14, -33, 65, 78, -84, 82]
  Compare -35 and 9
  No swap needed
  Compare 9 and 14
  No swap needed
  Compare 14 and -33
  Swap 14 and -33
  List after swap: [-62, -71, -35, 9, -33, 14, 65, 78, -84, 82]
  Compare 14 and 65
  No swap needed
  Compare 65 and 78
  No swap needed
  Compare 78 and -84
  Swap 78 and -84
  List after swap: [-62, -71, -35, 9, -33, 14, 65, -84, 78, 82]

Pass 3:
  Compare -62 and -71
  Swap -62 and -71
  List after swap: [-71, -62, -35, 9, -33, 14, 65, -84, 78, 82]
  Compare -62 and -35
  No swap needed
  Compare -35 and 9
  No swap needed
  Compare 9 and -33
  Swap 9 and -33
  List after swap: [-71, -62, -35, -33, 9, 14, 65, -84, 78, 82]
  Compare 9 and 14
  No swap needed
  Compare 14 and 65
  No swap needed
  Compare 65 and -84
  Swap 65 and -84
  List after swap: [-71, -62, -35, -33, 9, 14, -84, 65, 78, 82]

Pass 4:
  Compare -71 and -62
  No swap needed
  Compare -62 and -35
  No swap needed
  Compare -35 and -33
  No swap needed
  Compare -33 and 9
  No swap needed
  Compare 9 and 14
  No swap needed
  Compare 14 and -84
  Swap 14 and -84
  List after swap: [-71, -62, -35, -33, 9, -84, 14, 65, 78, 82]

Pass 5:
  Compare -71 and -62
  No swap needed
  Compare -62 and -35
  No swap needed
  Compare -35 and -33
  No swap needed
  Compare -33 and 9
  No swap needed
  Compare 9 and -84
  Swap 9 and -84
  List after swap: [-71, -62, -35, -33, -84, 9, 14, 65, 78, 82]

Pass 6:
  Compare -71 and -62
  No swap needed
  Compare -62 and -35
  No swap needed
  Compare -35 and -33
  No swap needed
  Compare -33 and -84
  Swap -33 and -84
  List after swap: [-71, -62, -35, -84, -33, 9, 14, 65, 78, 82]

Pass 7:
  Compare -71 and -62
  No swap needed
  Compare -62 and -35
  No swap needed
  Compare -35 and -84
  Swap -35 and -84
  List after swap: [-71, -62, -84, -35, -33, 9, 14, 65, 78, 82]

Pass 8:
  Compare -71 and -62
  No swap needed
  Compare -62 and -84
  Swap -62 and -84
  List after swap: [-71, -84, -62, -35, -33, 9, 14, 65, 78, 82]

Pass 9:
  Compare -71 and -84
  Swap -71 and -84
  List after swap: [-84, -71, -62, -35, -33, 9, 14, 65, 78, 82]

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

Final sorted list: [-84, -71, -62, -35, -33, 9, 14, 65, 78, 82]
</think>

<response>-84, -71, -62, -35, -33, 9, 14, 65, 78, 82</response>


input: Carry out the bubble sort algorithm on 32, -37, 7, 72 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [32, -37, 7, 72]

Pass 1:
  Compare 32 and -37
  Swap 32 and -37
  List after swap: [-37, 32, 7, 72]
  Compare 32 and 7
  Swap 32 and 7
  List after swap: [-37, 7, 32, 72]
  Compare 32 and 72
  No swap needed

Pass 2:
  Compare -37 and 7
  No swap needed
  Compare 7 and 32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-37, 7, 32, 72]
</think>

<response>-37, 7, 32, 72</response>


input: Implement bubble sort on -66, 96, 56, -95 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-66, 96, 56, -95]

Pass 1:
  Compare -66 and 96
  No swap needed
  Compare 96 and 56
  Swap 96 and 56
  List after swap: [-66, 56, 96, -95]
  Compare 96 and -95
  Swap 96 and -95
  List after swap: [-66, 56, -95, 96]

Pass 2:
  Compare -66 and 56
  No swap needed
  Compare 56 and -95
  Swap 56 and -95
  List after swap: [-66, -95, 56, 96]

Pass 3:
  Compare -66 and -95
  Swap -66 and -95
  List after swap: [-95, -66, 56, 96]

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

Final sorted list: [-95, -66, 56, 96]
</think>

<response>-95, -66, 56, 96</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -19, -41, 82, -11, 95, 11, 26, -89, 23.

output:
<think>
Initial list: [-19, -41, 82, -11, 95, 11, 26, -89, 23]

Pass 1:
  Compare -19 and -41
  Swap -19 and -41
  List after swap: [-41, -19, 82, -11, 95, 11, 26, -89, 23]
  Compare -19 and 82
  No swap needed
  Compare 82 and -11
  Swap 82 and -11
  List after swap: [-41, -19, -11, 82, 95, 11, 26, -89, 23]
  Compare 82 and 95
  No swap needed
  Compare 95 and 11
  Swap 95 and 11
  List after swap: [-41, -19, -11, 82, 11, 95, 26, -89, 23]
  Compare 95 and 26
  Swap 95 and 26
  List after swap: [-41, -19, -11, 82, 11, 26, 95, -89, 23]
  Compare 95 and -89
  Swap 95 and -89
  List after swap: [-41, -19, -11, 82, 11, 26, -89, 95, 23]
  Compare 95 and 23
  Swap 95 and 23
  List after swap: [-41, -19, -11, 82, 11, 26, -89, 23, 95]

Pass 2:
  Compare -41 and -19
  No swap needed
  Compare -19 and -11
  No swap needed
  Compare -11 and 82
  No swap needed
  Compare 82 and 11
  Swap 82 and 11
  List after swap: [-41, -19, -11, 11, 82, 26, -89, 23, 95]
  Compare 82 and 26
  Swap 82 and 26
  List after swap: [-41, -19, -11, 11, 26, 82, -89, 23, 95]
  Compare 82 and -89
  Swap 82 and -89
  List after swap: [-41, -19, -11, 11, 26, -89, 82, 23, 95]
  Compare 82 and 23
  Swap 82 and 23
  List after swap: [-41, -19, -11, 11, 26, -89, 23, 82, 95]

Pass 3:
  Compare -41 and -19
  No swap needed
  Compare -19 and -11
  No swap needed
  Compare -11 and 11
  No swap needed
  Compare 11 and 26
  No swap needed
  Compare 26 and -89
  Swap 26 and -89
  List after swap: [-41, -19, -11, 11, -89, 26, 23, 82, 95]
  Compare 26 and 23
  Swap 26 and 23
  List after swap: [-41, -19, -11, 11, -89, 23, 26, 82, 95]

Pass 4:
  Compare -41 and -19
  No swap needed
  Compare -19 and -11
  No swap needed
  Compare -11 and 11
  No swap needed
  Compare 11 and -89
  Swap 11 and -89
  List after swap: [-41, -19, -11, -89, 11, 23, 26, 82, 95]
  Compare 11 and 23
  No swap needed

Pass 5:
  Compare -41 and -19
  No swap needed
  Compare -19 and -11
  No swap needed
  Compare -11 and -89
  Swap -11 and -89
  List after swap: [-41, -19, -89, -11, 11, 23, 26, 82, 95]
  Compare -11 and 11
  No swap needed

Pass 6:
  Compare -41 and -19
  No swap needed
  Compare -19 and -89
  Swap -19 and -89
  List after swap: [-41, -89, -19, -11, 11, 23, 26, 82, 95]
  Compare -19 and -11
  No swap needed

Pass 7:
  Compare -41 and -89
  Swap -41 and -89
  List after swap: [-89, -41, -19, -11, 11, 23, 26, 82, 95]
  Compare -41 and -19
  No swap needed

Pass 8:
  Compare -89 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -41, -19, -11, 11, 23, 26, 82, 95]
</think>

<response>-89, -41, -19, -11, 11, 23, 26, 82, 95</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -11, 94, -20, -31, 67.

output:
<think>
Initial list: [-11, 94, -20, -31, 67]

Pass 1:
  Compare -11 and 94
  No swap needed
  Compare 94 and -20
  Swap 94 and -20
  List after swap: [-11, -20, 94, -31, 67]
  Compare 94 and -31
  Swap 94 and -31
  List after swap: [-11, -20, -31, 94, 67]
  Compare 94 and 67
  Swap 94 and 67
  List after swap: [-11, -20, -31, 67, 94]

Pass 2:
  Compare -11 and -20
  Swap -11 and -20
  List after swap: [-20, -11, -31, 67, 94]
  Compare -11 and -31
  Swap -11 and -31
  List after swap: [-20, -31, -11, 67, 94]
  Compare -11 and 67
  No swap needed

Pass 3:
  Compare -20 and -31
  Swap -20 and -31
  List after swap: [-31, -20, -11, 67, 94]
  Compare -20 and -11
  No swap needed

Pass 4:
  Compare -31 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-31, -20, -11, 67, 94]
</think>

<response>-31, -20, -11, 67, 94</response>


input: Arrange the numbers -77, -72, 35 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-77, -72, 35]

Pass 1:
  Compare -77 and -72
  No swap needed
  Compare -72 and 35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -72, 35]
</think>

<response>-77, -72, 35</response>


input: Sort these integers -48, 16, -24, 66, -80 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-48, 16, -24, 66, -80]

Pass 1:
  Compare -48 and 16
  No swap needed
  Compare 16 and -24
  Swap 16 and -24
  List after swap: [-48, -24, 16, 66, -80]
  Compare 16 and 66
  No swap needed
  Compare 66 and -80
  Swap 66 and -80
  List after swap: [-48, -24, 16, -80, 66]

Pass 2:
  Compare -48 and -24
  No swap needed
  Compare -24 and 16
  No swap needed
  Compare 16 and -80
  Swap 16 and -80
  List after swap: [-48, -24, -80, 16, 66]

Pass 3:
  Compare -48 and -24
  No swap needed
  Compare -24 and -80
  Swap -24 and -80
  List after swap: [-48, -80, -24, 16, 66]

Pass 4:
  Compare -48 and -80
  Swap -48 and -80
  List after swap: [-80, -48, -24, 16, 66]

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

Final sorted list: [-80, -48, -24, 16, 66]
</think>

<response>-80, -48, -24, 16, 66</response>


input: Implement bubble sort on -58, 85, 87, -91, -62, -7 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-58, 85, 87, -91, -62, -7]

Pass 1:
  Compare -58 and 85
  No swap needed
  Compare 85 and 87
  No swap needed
  Compare 87 and -91
  Swap 87 and -91
  List after swap: [-58, 85, -91, 87, -62, -7]
  Compare 87 and -62
  Swap 87 and -62
  List after swap: [-58, 85, -91, -62, 87, -7]
  Compare 87 and -7
  Swap 87 and -7
  List after swap: [-58, 85, -91, -62, -7, 87]

Pass 2:
  Compare -58 and 85
  No swap needed
  Compare 85 and -91
  Swap 85 and -91
  List after swap: [-58, -91, 85, -62, -7, 87]
  Compare 85 and -62
  Swap 85 and -62
  List after swap: [-58, -91, -62, 85, -7, 87]
  Compare 85 and -7
  Swap 85 and -7
  List after swap: [-58, -91, -62, -7, 85, 87]

Pass 3:
  Compare -58 and -91
  Swap -58 and -91
  List after swap: [-91, -58, -62, -7, 85, 87]
  Compare -58 and -62
  Swap -58 and -62
  List after swap: [-91, -62, -58, -7, 85, 87]
  Compare -58 and -7
  No swap needed

Pass 4:
  Compare -91 and -62
  No swap needed
  Compare -62 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -62, -58, -7, 85, 87]
</think>

<response>-91, -62, -58, -7, 85, 87</response>


input: Demonstrate how bubble sort orders the integers -67, 3, -22, -30, -65, -2, -35, 36 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-67, 3, -22, -30, -65, -2, -35, 36]

Pass 1:
  Compare -67 and 3
  No swap needed
  Compare 3 and -22
  Swap 3 and -22
  List after swap: [-67, -22, 3, -30, -65, -2, -35, 36]
  Compare 3 and -30
  Swap 3 and -30
  List after swap: [-67, -22, -30, 3, -65, -2, -35, 36]
  Compare 3 and -65
  Swap 3 and -65
  List after swap: [-67, -22, -30, -65, 3, -2, -35, 36]
  Compare 3 and -2
  Swap 3 and -2
  List after swap: [-67, -22, -30, -65, -2, 3, -35, 36]
  Compare 3 and -35
  Swap 3 and -35
  List after swap: [-67, -22, -30, -65, -2, -35, 3, 36]
  Compare 3 and 36
  No swap needed

Pass 2:
  Compare -67 and -22
  No swap needed
  Compare -22 and -30
  Swap -22 and -30
  List after swap: [-67, -30, -22, -65, -2, -35, 3, 36]
  Compare -22 and -65
  Swap -22 and -65
  List after swap: [-67, -30, -65, -22, -2, -35, 3, 36]
  Compare -22 and -2
  No swap needed
  Compare -2 and -35
  Swap -2 and -35
  List after swap: [-67, -30, -65, -22, -35, -2, 3, 36]
  Compare -2 and 3
  No swap needed

Pass 3:
  Compare -67 and -30
  No swap needed
  Compare -30 and -65
  Swap -30 and -65
  List after swap: [-67, -65, -30, -22, -35, -2, 3, 36]
  Compare -30 and -22
  No swap needed
  Compare -22 and -35
  Swap -22 and -35
  List after swap: [-67, -65, -30, -35, -22, -2, 3, 36]
  Compare -22 and -2
  No swap needed

Pass 4:
  Compare -67 and -65
  No swap needed
  Compare -65 and -30
  No swap needed
  Compare -30 and -35
  Swap -30 and -35
  List after swap: [-67, -65, -35, -30, -22, -2, 3, 36]
  Compare -30 and -22
  No swap needed

Pass 5:
  Compare -67 and -65
  No swap needed
  Compare -65 and -35
  No swap needed
  Compare -35 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -65, -35, -30, -22, -2, 3, 36]
</think>

<response>-67, -65, -35, -30, -22, -2, 3, 36</response>


input: Carry out the bubble sort algorithm on 38, 91, -29, -68, 51, -54 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [38, 91, -29, -68, 51, -54]

Pass 1:
  Compare 38 and 91
  No swap needed
  Compare 91 and -29
  Swap 91 and -29
  List after swap: [38, -29, 91, -68, 51, -54]
  Compare 91 and -68
  Swap 91 and -68
  List after swap: [38, -29, -68, 91, 51, -54]
  Compare 91 and 51
  Swap 91 and 51
  List after swap: [38, -29, -68, 51, 91, -54]
  Compare 91 and -54
  Swap 91 and -54
  List after swap: [38, -29, -68, 51, -54, 91]

Pass 2:
  Compare 38 and -29
  Swap 38 and -29
  List after swap: [-29, 38, -68, 51, -54, 91]
  Compare 38 and -68
  Swap 38 and -68
  List after swap: [-29, -68, 38, 51, -54, 91]
  Compare 38 and 51
  No swap needed
  Compare 51 and -54
  Swap 51 and -54
  List after swap: [-29, -68, 38, -54, 51, 91]

Pass 3:
  Compare -29 and -68
  Swap -29 and -68
  List after swap: [-68, -29, 38, -54, 51, 91]
  Compare -29 and 38
  No swap needed
  Compare 38 and -54
  Swap 38 and -54
  List after swap: [-68, -29, -54, 38, 51, 91]

Pass 4:
  Compare -68 and -29
  No swap needed
  Compare -29 and -54
  Swap -29 and -54
  List after swap: [-68, -54, -29, 38, 51, 91]

Pass 5:
  Compare -68 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -54, -29, 38, 51, 91]
</think>

<response>-68, -54, -29, 38, 51, 91</response>


input: Sort the list 46, 50, 8, -45, -25, 52, -31, 72 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [46, 50, 8, -45, -25, 52, -31, 72]

Pass 1:
  Compare 46 and 50
  No swap needed
  Compare 50 and 8
  Swap 50 and 8
  List after swap: [46, 8, 50, -45, -25, 52, -31, 72]
  Compare 50 and -45
  Swap 50 and -45
  List after swap: [46, 8, -45, 50, -25, 52, -31, 72]
  Compare 50 and -25
  Swap 50 and -25
  List after swap: [46, 8, -45, -25, 50, 52, -31, 72]
  Compare 50 and 52
  No swap needed
  Compare 52 and -31
  Swap 52 and -31
  List after swap: [46, 8, -45, -25, 50, -31, 52, 72]
  Compare 52 and 72
  No swap needed

Pass 2:
  Compare 46 and 8
  Swap 46 and 8
  List after swap: [8, 46, -45, -25, 50, -31, 52, 72]
  Compare 46 and -45
  Swap 46 and -45
  List after swap: [8, -45, 46, -25, 50, -31, 52, 72]
  Compare 46 and -25
  Swap 46 and -25
  List after swap: [8, -45, -25, 46, 50, -31, 52, 72]
  Compare 46 and 50
  No swap needed
  Compare 50 and -31
  Swap 50 and -31
  List after swap: [8, -45, -25, 46, -31, 50, 52, 72]
  Compare 50 and 52
  No swap needed

Pass 3:
  Compare 8 and -45
  Swap 8 and -45
  List after swap: [-45, 8, -25, 46, -31, 50, 52, 72]
  Compare 8 and -25
  Swap 8 and -25
  List after swap: [-45, -25, 8, 46, -31, 50, 52, 72]
  Compare 8 and 46
  No swap needed
  Compare 46 and -31
  Swap 46 and -31
  List after swap: [-45, -25, 8, -31, 46, 50, 52, 72]
  Compare 46 and 50
  No swap needed

Pass 4:
  Compare -45 and -25
  No swap needed
  Compare -25 and 8
  No swap needed
  Compare 8 and -31
  Swap 8 and -31
  List after swap: [-45, -25, -31, 8, 46, 50, 52, 72]
  Compare 8 and 46
  No swap needed

Pass 5:
  Compare -45 and -25
  No swap needed
  Compare -25 and -31
  Swap -25 and -31
  List after swap: [-45, -31, -25, 8, 46, 50, 52, 72]
  Compare -25 and 8
  No swap needed

Pass 6:
  Compare -45 and -31
  No swap needed
  Compare -31 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-45, -31, -25, 8, 46, 50, 52, 72]
</think>

<response>-45, -31, -25, 8, 46, 50, 52, 72</response>


input: Sort these integers 92, -33, -7, -74, 27 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [92, -33, -7, -74, 27]

Pass 1:
  Compare 92 and -33
  Swap 92 and -33
  List after swap: [-33, 92, -7, -74, 27]
  Compare 92 and -7
  Swap 92 and -7
  List after swap: [-33, -7, 92, -74, 27]
  Compare 92 and -74
  Swap 92 and -74
  List after swap: [-33, -7, -74, 92, 27]
  Compare 92 and 27
  Swap 92 and 27
  List after swap: [-33, -7, -74, 27, 92]

Pass 2:
  Compare -33 and -7
  No swap needed
  Compare -7 and -74
  Swap -7 and -74
  List after swap: [-33, -74, -7, 27, 92]
  Compare -7 and 27
  No swap needed

Pass 3:
  Compare -33 and -74
  Swap -33 and -74
  List after swap: [-74, -33, -7, 27, 92]
  Compare -33 and -7
  No swap needed

Pass 4:
  Compare -74 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -33, -7, 27, 92]
</think>

<response>-74, -33, -7, 27, 92</response>


input: Using the bubble sort method, sort 47, -96, 14, -12, 66, -32, 68, -10, 75, 24 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [47, -96, 14, -12, 66, -32, 68, -10, 75, 24]

Pass 1:
  Compare 47 and -96
  Swap 47 and -96
  List after swap: [-96, 47, 14, -12, 66, -32, 68, -10, 75, 24]
  Compare 47 and 14
  Swap 47 and 14
  List after swap: [-96, 14, 47, -12, 66, -32, 68, -10, 75, 24]
  Compare 47 and -12
  Swap 47 and -12
  List after swap: [-96, 14, -12, 47, 66, -32, 68, -10, 75, 24]
  Compare 47 and 66
  No swap needed
  Compare 66 and -32
  Swap 66 and -32
  List after swap: [-96, 14, -12, 47, -32, 66, 68, -10, 75, 24]
  Compare 66 and 68
  No swap needed
  Compare 68 and -10
  Swap 68 and -10
  List after swap: [-96, 14, -12, 47, -32, 66, -10, 68, 75, 24]
  Compare 68 and 75
  No swap needed
  Compare 75 and 24
  Swap 75 and 24
  List after swap: [-96, 14, -12, 47, -32, 66, -10, 68, 24, 75]

Pass 2:
  Compare -96 and 14
  No swap needed
  Compare 14 and -12
  Swap 14 and -12
  List after swap: [-96, -12, 14, 47, -32, 66, -10, 68, 24, 75]
  Compare 14 and 47
  No swap needed
  Compare 47 and -32
  Swap 47 and -32
  List after swap: [-96, -12, 14, -32, 47, 66, -10, 68, 24, 75]
  Compare 47 and 66
  No swap needed
  Compare 66 and -10
  Swap 66 and -10
  List after swap: [-96, -12, 14, -32, 47, -10, 66, 68, 24, 75]
  Compare 66 and 68
  No swap needed
  Compare 68 and 24
  Swap 68 and 24
  List after swap: [-96, -12, 14, -32, 47, -10, 66, 24, 68, 75]

Pass 3:
  Compare -96 and -12
  No swap needed
  Compare -12 and 14
  No swap needed
  Compare 14 and -32
  Swap 14 and -32
  List after swap: [-96, -12, -32, 14, 47, -10, 66, 24, 68, 75]
  Compare 14 and 47
  No swap needed
  Compare 47 and -10
  Swap 47 and -10
  List after swap: [-96, -12, -32, 14, -10, 47, 66, 24, 68, 75]
  Compare 47 and 66
  No swap needed
  Compare 66 and 24
  Swap 66 and 24
  List after swap: [-96, -12, -32, 14, -10, 47, 24, 66, 68, 75]

Pass 4:
  Compare -96 and -12
  No swap needed
  Compare -12 and -32
  Swap -12 and -32
  List after swap: [-96, -32, -12, 14, -10, 47, 24, 66, 68, 75]
  Compare -12 and 14
  No swap needed
  Compare 14 and -10
  Swap 14 and -10
  List after swap: [-96, -32, -12, -10, 14, 47, 24, 66, 68, 75]
  Compare 14 and 47
  No swap needed
  Compare 47 and 24
  Swap 47 and 24
  List after swap: [-96, -32, -12, -10, 14, 24, 47, 66, 68, 75]

Pass 5:
  Compare -96 and -32
  No swap needed
  Compare -32 and -12
  No swap needed
  Compare -12 and -10
  No swap needed
  Compare -10 and 14
  No swap needed
  Compare 14 and 24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -32, -12, -10, 14, 24, 47, 66, 68, 75]
</think>

<response>-96, -32, -12, -10, 14, 24, 47, 66, 68, 75</response>


input: Perform a bubble sort on the integers 83, 54, -41, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [83, 54, -41]

Pass 1:
  Compare 83 and 54
  Swap 83 and 54
  List after swap: [54, 83, -41]
  Compare 83 and -41
  Swap 83 and -41
  List after swap: [54, -41, 83]

Pass 2:
  Compare 54 and -41
  Swap 54 and -41
  List after swap: [-41, 54, 83]

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

Final sorted list: [-41, 54, 83]
</think>

<response>-41, 54, 83</response>


input: Sort the list -53, 92 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-53, 92]

Pass 1:
  Compare -53 and 92
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-53, 92]
</think>

<response>-53, 92</response>


input: Implement bubble sort on 5, 62, 8, 12, -73, -2, 41, 42, 33, -72 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [5, 62, 8, 12, -73, -2, 41, 42, 33, -72]

Pass 1:
  Compare 5 and 62
  No swap needed
  Compare 62 and 8
  Swap 62 and 8
  List after swap: [5, 8, 62, 12, -73, -2, 41, 42, 33, -72]
  Compare 62 and 12
  Swap 62 and 12
  List after swap: [5, 8, 12, 62, -73, -2, 41, 42, 33, -72]
  Compare 62 and -73
  Swap 62 and -73
  List after swap: [5, 8, 12, -73, 62, -2, 41, 42, 33, -72]
  Compare 62 and -2
  Swap 62 and -2
  List after swap: [5, 8, 12, -73, -2, 62, 41, 42, 33, -72]
  Compare 62 and 41
  Swap 62 and 41
  List after swap: [5, 8, 12, -73, -2, 41, 62, 42, 33, -72]
  Compare 62 and 42
  Swap 62 and 42
  List after swap: [5, 8, 12, -73, -2, 41, 42, 62, 33, -72]
  Compare 62 and 33
  Swap 62 and 33
  List after swap: [5, 8, 12, -73, -2, 41, 42, 33, 62, -72]
  Compare 62 and -72
  Swap 62 and -72
  List after swap: [5, 8, 12, -73, -2, 41, 42, 33, -72, 62]

Pass 2:
  Compare 5 and 8
  No swap needed
  Compare 8 and 12
  No swap needed
  Compare 12 and -73
  Swap 12 and -73
  List after swap: [5, 8, -73, 12, -2, 41, 42, 33, -72, 62]
  Compare 12 and -2
  Swap 12 and -2
  List after swap: [5, 8, -73, -2, 12, 41, 42, 33, -72, 62]
  Compare 12 and 41
  No swap needed
  Compare 41 and 42
  No swap needed
  Compare 42 and 33
  Swap 42 and 33
  List after swap: [5, 8, -73, -2, 12, 41, 33, 42, -72, 62]
  Compare 42 and -72
  Swap 42 and -72
  List after swap: [5, 8, -73, -2, 12, 41, 33, -72, 42, 62]

Pass 3:
  Compare 5 and 8
  No swap needed
  Compare 8 and -73
  Swap 8 and -73
  List after swap: [5, -73, 8, -2, 12, 41, 33, -72, 42, 62]
  Compare 8 and -2
  Swap 8 and -2
  List after swap: [5, -73, -2, 8, 12, 41, 33, -72, 42, 62]
  Compare 8 and 12
  No swap needed
  Compare 12 and 41
  No swap needed
  Compare 41 and 33
  Swap 41 and 33
  List after swap: [5, -73, -2, 8, 12, 33, 41, -72, 42, 62]
  Compare 41 and -72
  Swap 41 and -72
  List after swap: [5, -73, -2, 8, 12, 33, -72, 41, 42, 62]

Pass 4:
  Compare 5 and -73
  Swap 5 and -73
  List after swap: [-73, 5, -2, 8, 12, 33, -72, 41, 42, 62]
  Compare 5 and -2
  Swap 5 and -2
  List after swap: [-73, -2, 5, 8, 12, 33, -72, 41, 42, 62]
  Compare 5 and 8
  No swap needed
  Compare 8 and 12
  No swap needed
  Compare 12 and 33
  No swap needed
  Compare 33 and -72
  Swap 33 and -72
  List after swap: [-73, -2, 5, 8, 12, -72, 33, 41, 42, 62]

Pass 5:
  Compare -73 and -2
  No swap needed
  Compare -2 and 5
  No swap needed
  Compare 5 and 8
  No swap needed
  Compare 8 and 12
  No swap needed
  Compare 12 and -72
  Swap 12 and -72
  List after swap: [-73, -2, 5, 8, -72, 12, 33, 41, 42, 62]

Pass 6:
  Compare -73 and -2
  No swap needed
  Compare -2 and 5
  No swap needed
  Compare 5 and 8
  No swap needed
  Compare 8 and -72
  Swap 8 and -72
  List after swap: [-73, -2, 5, -72, 8, 12, 33, 41, 42, 62]

Pass 7:
  Compare -73 and -2
  No swap needed
  Compare -2 and 5
  No swap needed
  Compare 5 and -72
  Swap 5 and -72
  List after swap: [-73, -2, -72, 5, 8, 12, 33, 41, 42, 62]

Pass 8:
  Compare -73 and -2
  No swap needed
  Compare -2 and -72
  Swap -2 and -72
  List after swap: [-73, -72, -2, 5, 8, 12, 33, 41, 42, 62]

Pass 9:
  Compare -73 and -72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -72, -2, 5, 8, 12, 33, 41, 42, 62]
</think>

<response>-73, -72, -2, 5, 8, 12, 33, 41, 42, 62</response>


input: Carry out the bubble sort algorithm on -15, -53 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-15, -53]

Pass 1:
  Compare -15 and -53
  Swap -15 and -53
  List after swap: [-53, -15]

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

Final sorted list: [-53, -15]
</think>

<response>-53, -15</response>


input: Carry out the bubble sort algorithm on -58, 89, -86, 99, 39, 92, 45 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-58, 89, -86, 99, 39, 92, 45]

Pass 1:
  Compare -58 and 89
  No swap needed
  Compare 89 and -86
  Swap 89 and -86
  List after swap: [-58, -86, 89, 99, 39, 92, 45]
  Compare 89 and 99
  No swap needed
  Compare 99 and 39
  Swap 99 and 39
  List after swap: [-58, -86, 89, 39, 99, 92, 45]
  Compare 99 and 92
  Swap 99 and 92
  List after swap: [-58, -86, 89, 39, 92, 99, 45]
  Compare 99 and 45
  Swap 99 and 45
  List after swap: [-58, -86, 89, 39, 92, 45, 99]

Pass 2:
  Compare -58 and -86
  Swap -58 and -86
  List after swap: [-86, -58, 89, 39, 92, 45, 99]
  Compare -58 and 89
  No swap needed
  Compare 89 and 39
  Swap 89 and 39
  List after swap: [-86, -58, 39, 89, 92, 45, 99]
  Compare 89 and 92
  No swap needed
  Compare 92 and 45
  Swap 92 and 45
  List after swap: [-86, -58, 39, 89, 45, 92, 99]

Pass 3:
  Compare -86 and -58
  No swap needed
  Compare -58 and 39
  No swap needed
  Compare 39 and 89
  No swap needed
  Compare 89 and 45
  Swap 89 and 45
  List after swap: [-86, -58, 39, 45, 89, 92, 99]

Pass 4:
  Compare -86 and -58
  No swap needed
  Compare -58 and 39
  No swap needed
  Compare 39 and 45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -58, 39, 45, 89, 92, 99]
</think>

<response>-86, -58, 39, 45, 89, 92, 99</response>


input: Using the bubble sort method, sort -73, -75, 63, 12, -32, -42 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-73, -75, 63, 12, -32, -42]

Pass 1:
  Compare -73 and -75
  Swap -73 and -75
  List after swap: [-75, -73, 63, 12, -32, -42]
  Compare -73 and 63
  No swap needed
  Compare 63 and 12
  Swap 63 and 12
  List after swap: [-75, -73, 12, 63, -32, -42]
  Compare 63 and -32
  Swap 63 and -32
  List after swap: [-75, -73, 12, -32, 63, -42]
  Compare 63 and -42
  Swap 63 and -42
  List after swap: [-75, -73, 12, -32, -42, 63]

Pass 2:
  Compare -75 and -73
  No swap needed
  Compare -73 and 12
  No swap needed
  Compare 12 and -32
  Swap 12 and -32
  List after swap: [-75, -73, -32, 12, -42, 63]
  Compare 12 and -42
  Swap 12 and -42
  List after swap: [-75, -73, -32, -42, 12, 63]

Pass 3:
  Compare -75 and -73
  No swap needed
  Compare -73 and -32
  No swap needed
  Compare -32 and -42
  Swap -32 and -42
  List after swap: [-75, -73, -42, -32, 12, 63]

Pass 4:
  Compare -75 and -73
  No swap needed
  Compare -73 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -73, -42, -32, 12, 63]
</think>

<response>-75, -73, -42, -32, 12, 63</response>


input: Using the bubble sort method, sort 61, -29, -79, -31, 25, 83, -58, 95 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [61, -29, -79, -31, 25, 83, -58, 95]

Pass 1:
  Compare 61 and -29
  Swap 61 and -29
  List after swap: [-29, 61, -79, -31, 25, 83, -58, 95]
  Compare 61 and -79
  Swap 61 and -79
  List after swap: [-29, -79, 61, -31, 25, 83, -58, 95]
  Compare 61 and -31
  Swap 61 and -31
  List after swap: [-29, -79, -31, 61, 25, 83, -58, 95]
  Compare 61 and 25
  Swap 61 and 25
  List after swap: [-29, -79, -31, 25, 61, 83, -58, 95]
  Compare 61 and 83
  No swap needed
  Compare 83 and -58
  Swap 83 and -58
  List after swap: [-29, -79, -31, 25, 61, -58, 83, 95]
  Compare 83 and 95
  No swap needed

Pass 2:
  Compare -29 and -79
  Swap -29 and -79
  List after swap: [-79, -29, -31, 25, 61, -58, 83, 95]
  Compare -29 and -31
  Swap -29 and -31
  List after swap: [-79, -31, -29, 25, 61, -58, 83, 95]
  Compare -29 and 25
  No swap needed
  Compare 25 and 61
  No swap needed
  Compare 61 and -58
  Swap 61 and -58
  List after swap: [-79, -31, -29, 25, -58, 61, 83, 95]
  Compare 61 and 83
  No swap needed

Pass 3:
  Compare -79 and -31
  No swap needed
  Compare -31 and -29
  No swap needed
  Compare -29 and 25
  No swap needed
  Compare 25 and -58
  Swap 25 and -58
  List after swap: [-79, -31, -29, -58, 25, 61, 83, 95]
  Compare 25 and 61
  No swap needed

Pass 4:
  Compare -79 and -31
  No swap needed
  Compare -31 and -29
  No swap needed
  Compare -29 and -58
  Swap -29 and -58
  List after swap: [-79, -31, -58, -29, 25, 61, 83, 95]
  Compare -29 and 25
  No swap needed

Pass 5:
  Compare -79 and -31
  No swap needed
  Compare -31 and -58
  Swap -31 and -58
  List after swap: [-79, -58, -31, -29, 25, 61, 83, 95]
  Compare -31 and -29
  No swap needed

Pass 6:
  Compare -79 and -58
  No swap needed
  Compare -58 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -58, -31, -29, 25, 61, 83, 95]
</think>

<response>-79, -58, -31, -29, 25, 61, 83, 95</response>


input: Use the bubble sort technique to reorder 21, -47 into ascending order, and write down each step of the procedure.

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

Pass 1:
  Compare 21 and -47
  Swap 21 and -47
  List after swap: [-47, 21]

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

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

<response>-47, 21</response>


input: Sort these integers -6, -35, 45 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-6, -35, 45]

Pass 1:
  Compare -6 and -35
  Swap -6 and -35
  List after swap: [-35, -6, 45]
  Compare -6 and 45
  No swap needed

Pass 2:
  Compare -35 and -6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-35, -6, 45]
</think>

<response>-35, -6, 45</response>


input: Perform a bubble sort on the integers -35, -29, 81, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-35, -29, 81]

Pass 1:
  Compare -35 and -29
  No swap needed
  Compare -29 and 81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-35, -29, 81]
</think>

<response>-35, -29, 81</response>


input: Arrange the numbers 39, 76, 70, -79, 0 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [39, 76, 70, -79, 0]

Pass 1:
  Compare 39 and 76
  No swap needed
  Compare 76 and 70
  Swap 76 and 70
  List after swap: [39, 70, 76, -79, 0]
  Compare 76 and -79
  Swap 76 and -79
  List after swap: [39, 70, -79, 76, 0]
  Compare 76 and 0
  Swap 76 and 0
  List after swap: [39, 70, -79, 0, 76]

Pass 2:
  Compare 39 and 70
  No swap needed
  Compare 70 and -79
  Swap 70 and -79
  List after swap: [39, -79, 70, 0, 76]
  Compare 70 and 0
  Swap 70 and 0
  List after swap: [39, -79, 0, 70, 76]

Pass 3:
  Compare 39 and -79
  Swap 39 and -79
  List after swap: [-79, 39, 0, 70, 76]
  Compare 39 and 0
  Swap 39 and 0
  List after swap: [-79, 0, 39, 70, 76]

Pass 4:
  Compare -79 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, 0, 39, 70, 76]
</think>

<response>-79, 0, 39, 70, 76</response>


input: Execute bubble sort to sort 88, 19, -42, 61, -91, -23, 70 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [88, 19, -42, 61, -91, -23, 70]

Pass 1:
  Compare 88 and 19
  Swap 88 and 19
  List after swap: [19, 88, -42, 61, -91, -23, 70]
  Compare 88 and -42
  Swap 88 and -42
  List after swap: [19, -42, 88, 61, -91, -23, 70]
  Compare 88 and 61
  Swap 88 and 61
  List after swap: [19, -42, 61, 88, -91, -23, 70]
  Compare 88 and -91
  Swap 88 and -91
  List after swap: [19, -42, 61, -91, 88, -23, 70]
  Compare 88 and -23
  Swap 88 and -23
  List after swap: [19, -42, 61, -91, -23, 88, 70]
  Compare 88 and 70
  Swap 88 and 70
  List after swap: [19, -42, 61, -91, -23, 70, 88]

Pass 2:
  Compare 19 and -42
  Swap 19 and -42
  List after swap: [-42, 19, 61, -91, -23, 70, 88]
  Compare 19 and 61
  No swap needed
  Compare 61 and -91
  Swap 61 and -91
  List after swap: [-42, 19, -91, 61, -23, 70, 88]
  Compare 61 and -23
  Swap 61 and -23
  List after swap: [-42, 19, -91, -23, 61, 70, 88]
  Compare 61 and 70
  No swap needed

Pass 3:
  Compare -42 and 19
  No swap needed
  Compare 19 and -91
  Swap 19 and -91
  List after swap: [-42, -91, 19, -23, 61, 70, 88]
  Compare 19 and -23
  Swap 19 and -23
  List after swap: [-42, -91, -23, 19, 61, 70, 88]
  Compare 19 and 61
  No swap needed

Pass 4:
  Compare -42 and -91
  Swap -42 and -91
  List after swap: [-91, -42, -23, 19, 61, 70, 88]
  Compare -42 and -23
  No swap needed
  Compare -23 and 19
  No swap needed

Pass 5:
  Compare -91 and -42
  No swap needed
  Compare -42 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -42, -23, 19, 61, 70, 88]
</think>

<response>-91, -42, -23, 19, 61, 70, 88</response>


input: Carry out the bubble sort algorithm on -19, 98, 64, -73, 69, 88, 14, 20, 42, 76 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-19, 98, 64, -73, 69, 88, 14, 20, 42, 76]

Pass 1:
  Compare -19 and 98
  No swap needed
  Compare 98 and 64
  Swap 98 and 64
  List after swap: [-19, 64, 98, -73, 69, 88, 14, 20, 42, 76]
  Compare 98 and -73
  Swap 98 and -73
  List after swap: [-19, 64, -73, 98, 69, 88, 14, 20, 42, 76]
  Compare 98 and 69
  Swap 98 and 69
  List after swap: [-19, 64, -73, 69, 98, 88, 14, 20, 42, 76]
  Compare 98 and 88
  Swap 98 and 88
  List after swap: [-19, 64, -73, 69, 88, 98, 14, 20, 42, 76]
  Compare 98 and 14
  Swap 98 and 14
  List after swap: [-19, 64, -73, 69, 88, 14, 98, 20, 42, 76]
  Compare 98 and 20
  Swap 98 and 20
  List after swap: [-19, 64, -73, 69, 88, 14, 20, 98, 42, 76]
  Compare 98 and 42
  Swap 98 and 42
  List after swap: [-19, 64, -73, 69, 88, 14, 20, 42, 98, 76]
  Compare 98 and 76
  Swap 98 and 76
  List after swap: [-19, 64, -73, 69, 88, 14, 20, 42, 76, 98]

Pass 2:
  Compare -19 and 64
  No swap needed
  Compare 64 and -73
  Swap 64 and -73
  List after swap: [-19, -73, 64, 69, 88, 14, 20, 42, 76, 98]
  Compare 64 and 69
  No swap needed
  Compare 69 and 88
  No swap needed
  Compare 88 and 14
  Swap 88 and 14
  List after swap: [-19, -73, 64, 69, 14, 88, 20, 42, 76, 98]
  Compare 88 and 20
  Swap 88 and 20
  List after swap: [-19, -73, 64, 69, 14, 20, 88, 42, 76, 98]
  Compare 88 and 42
  Swap 88 and 42
  List after swap: [-19, -73, 64, 69, 14, 20, 42, 88, 76, 98]
  Compare 88 and 76
  Swap 88 and 76
  List after swap: [-19, -73, 64, 69, 14, 20, 42, 76, 88, 98]

Pass 3:
  Compare -19 and -73
  Swap -19 and -73
  List after swap: [-73, -19, 64, 69, 14, 20, 42, 76, 88, 98]
  Compare -19 and 64
  No swap needed
  Compare 64 and 69
  No swap needed
  Compare 69 and 14
  Swap 69 and 14
  List after swap: [-73, -19, 64, 14, 69, 20, 42, 76, 88, 98]
  Compare 69 and 20
  Swap 69 and 20
  List after swap: [-73, -19, 64, 14, 20, 69, 42, 76, 88, 98]
  Compare 69 and 42
  Swap 69 and 42
  List after swap: [-73, -19, 64, 14, 20, 42, 69, 76, 88, 98]
  Compare 69 and 76
  No swap needed

Pass 4:
  Compare -73 and -19
  No swap needed
  Compare -19 and 64
  No swap needed
  Compare 64 and 14
  Swap 64 and 14
  List after swap: [-73, -19, 14, 64, 20, 42, 69, 76, 88, 98]
  Compare 64 and 20
  Swap 64 and 20
  List after swap: [-73, -19, 14, 20, 64, 42, 69, 76, 88, 98]
  Compare 64 and 42
  Swap 64 and 42
  List after swap: [-73, -19, 14, 20, 42, 64, 69, 76, 88, 98]
  Compare 64 and 69
  No swap needed

Pass 5:
  Compare -73 and -19
  No swap needed
  Compare -19 and 14
  No swap needed
  Compare 14 and 20
  No swap needed
  Compare 20 and 42
  No swap needed
  Compare 42 and 64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -19, 14, 20, 42, 64, 69, 76, 88, 98]
</think>

<response>-73, -19, 14, 20, 42, 64, 69, 76, 88, 98</response>


input: Use the bubble sort technique to reorder -59, -39, -69, 55, -9, 7, -36, -99, 19, 52 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-59, -39, -69, 55, -9, 7, -36, -99, 19, 52]

Pass 1:
  Compare -59 and -39
  No swap needed
  Compare -39 and -69
  Swap -39 and -69
  List after swap: [-59, -69, -39, 55, -9, 7, -36, -99, 19, 52]
  Compare -39 and 55
  No swap needed
  Compare 55 and -9
  Swap 55 and -9
  List after swap: [-59, -69, -39, -9, 55, 7, -36, -99, 19, 52]
  Compare 55 and 7
  Swap 55 and 7
  List after swap: [-59, -69, -39, -9, 7, 55, -36, -99, 19, 52]
  Compare 55 and -36
  Swap 55 and -36
  List after swap: [-59, -69, -39, -9, 7, -36, 55, -99, 19, 52]
  Compare 55 and -99
  Swap 55 and -99
  List after swap: [-59, -69, -39, -9, 7, -36, -99, 55, 19, 52]
  Compare 55 and 19
  Swap 55 and 19
  List after swap: [-59, -69, -39, -9, 7, -36, -99, 19, 55, 52]
  Compare 55 and 52
  Swap 55 and 52
  List after swap: [-59, -69, -39, -9, 7, -36, -99, 19, 52, 55]

Pass 2:
  Compare -59 and -69
  Swap -59 and -69
  List after swap: [-69, -59, -39, -9, 7, -36, -99, 19, 52, 55]
  Compare -59 and -39
  No swap needed
  Compare -39 and -9
  No swap needed
  Compare -9 and 7
  No swap needed
  Compare 7 and -36
  Swap 7 and -36
  List after swap: [-69, -59, -39, -9, -36, 7, -99, 19, 52, 55]
  Compare 7 and -99
  Swap 7 and -99
  List after swap: [-69, -59, -39, -9, -36, -99, 7, 19, 52, 55]
  Compare 7 and 19
  No swap needed
  Compare 19 and 52
  No swap needed

Pass 3:
  Compare -69 and -59
  No swap needed
  Compare -59 and -39
  No swap needed
  Compare -39 and -9
  No swap needed
  Compare -9 and -36
  Swap -9 and -36
  List after swap: [-69, -59, -39, -36, -9, -99, 7, 19, 52, 55]
  Compare -9 and -99
  Swap -9 and -99
  List after swap: [-69, -59, -39, -36, -99, -9, 7, 19, 52, 55]
  Compare -9 and 7
  No swap needed
  Compare 7 and 19
  No swap needed

Pass 4:
  Compare -69 and -59
  No swap needed
  Compare -59 and -39
  No swap needed
  Compare -39 and -36
  No swap needed
  Compare -36 and -99
  Swap -36 and -99
  List after swap: [-69, -59, -39, -99, -36, -9, 7, 19, 52, 55]
  Compare -36 and -9
  No swap needed
  Compare -9 and 7
  No swap needed

Pass 5:
  Compare -69 and -59
  No swap needed
  Compare -59 and -39
  No swap needed
  Compare -39 and -99
  Swap -39 and -99
  List after swap: [-69, -59, -99, -39, -36, -9, 7, 19, 52, 55]
  Compare -39 and -36
  No swap needed
  Compare -36 and -9
  No swap needed

Pass 6:
  Compare -69 and -59
  No swap needed
  Compare -59 and -99
  Swap -59 and -99
  List after swap: [-69, -99, -59, -39, -36, -9, 7, 19, 52, 55]
  Compare -59 and -39
  No swap needed
  Compare -39 and -36
  No swap needed

Pass 7:
  Compare -69 and -99
  Swap -69 and -99
  List after swap: [-99, -69, -59, -39, -36, -9, 7, 19, 52, 55]
  Compare -69 and -59
  No swap needed
  Compare -59 and -39
  No swap needed

Pass 8:
  Compare -99 and -69
  No swap needed
  Compare -69 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -69, -59, -39, -36, -9, 7, 19, 52, 55]
</think>

<response>-99, -69, -59, -39, -36, -9, 7, 19, 52, 55</response>


input: Perform a bubble sort on the integers 55, -49, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [55, -49]

Pass 1:
  Compare 55 and -49
  Swap 55 and -49
  List after swap: [-49, 55]

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

Final sorted list: [-49, 55]
</think>

<response>-49, 55</response>


input: Perform a bubble sort on the integers 0, 39, 69, -27, -52, -22, -65, -19, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [0, 39, 69, -27, -52, -22, -65, -19]

Pass 1:
  Compare 0 and 39
  No swap needed
  Compare 39 and 69
  No swap needed
  Compare 69 and -27
  Swap 69 and -27
  List after swap: [0, 39, -27, 69, -52, -22, -65, -19]
  Compare 69 and -52
  Swap 69 and -52
  List after swap: [0, 39, -27, -52, 69, -22, -65, -19]
  Compare 69 and -22
  Swap 69 and -22
  List after swap: [0, 39, -27, -52, -22, 69, -65, -19]
  Compare 69 and -65
  Swap 69 and -65
  List after swap: [0, 39, -27, -52, -22, -65, 69, -19]
  Compare 69 and -19
  Swap 69 and -19
  List after swap: [0, 39, -27, -52, -22, -65, -19, 69]

Pass 2:
  Compare 0 and 39
  No swap needed
  Compare 39 and -27
  Swap 39 and -27
  List after swap: [0, -27, 39, -52, -22, -65, -19, 69]
  Compare 39 and -52
  Swap 39 and -52
  List after swap: [0, -27, -52, 39, -22, -65, -19, 69]
  Compare 39 and -22
  Swap 39 and -22
  List after swap: [0, -27, -52, -22, 39, -65, -19, 69]
  Compare 39 and -65
  Swap 39 and -65
  List after swap: [0, -27, -52, -22, -65, 39, -19, 69]
  Compare 39 and -19
  Swap 39 and -19
  List after swap: [0, -27, -52, -22, -65, -19, 39, 69]

Pass 3:
  Compare 0 and -27
  Swap 0 and -27
  List after swap: [-27, 0, -52, -22, -65, -19, 39, 69]
  Compare 0 and -52
  Swap 0 and -52
  List after swap: [-27, -52, 0, -22, -65, -19, 39, 69]
  Compare 0 and -22
  Swap 0 and -22
  List after swap: [-27, -52, -22, 0, -65, -19, 39, 69]
  Compare 0 and -65
  Swap 0 and -65
  List after swap: [-27, -52, -22, -65, 0, -19, 39, 69]
  Compare 0 and -19
  Swap 0 and -19
  List after swap: [-27, -52, -22, -65, -19, 0, 39, 69]

Pass 4:
  Compare -27 and -52
  Swap -27 and -52
  List after swap: [-52, -27, -22, -65, -19, 0, 39, 69]
  Compare -27 and -22
  No swap needed
  Compare -22 and -65
  Swap -22 and -65
  List after swap: [-52, -27, -65, -22, -19, 0, 39, 69]
  Compare -22 and -19
  No swap needed

Pass 5:
  Compare -52 and -27
  No swap needed
  Compare -27 and -65
  Swap -27 and -65
  List after swap: [-52, -65, -27, -22, -19, 0, 39, 69]
  Compare -27 and -22
  No swap needed

Pass 6:
  Compare -52 and -65
  Swap -52 and -65
  List after swap: [-65, -52, -27, -22, -19, 0, 39, 69]
  Compare -52 and -27
  No swap needed

Pass 7:
  Compare -65 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -52, -27, -22, -19, 0, 39, 69]
</think>

<response>-65, -52, -27, -22, -19, 0, 39, 69</response>


input: Using the bubble sort method, sort -46, 46, -48, 85 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-46, 46, -48, 85]

Pass 1:
  Compare -46 and 46
  No swap needed
  Compare 46 and -48
  Swap 46 and -48
  List after swap: [-46, -48, 46, 85]
  Compare 46 and 85
  No swap needed

Pass 2:
  Compare -46 and -48
  Swap -46 and -48
  List after swap: [-48, -46, 46, 85]
  Compare -46 and 46
  No swap needed

Pass 3:
  Compare -48 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-48, -46, 46, 85]
</think>

<response>-48, -46, 46, 85</response>


input: Sort these integers -8, -31, 23, 97, -33, 78, -56, -83, -50 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-8, -31, 23, 97, -33, 78, -56, -83, -50]

Pass 1:
  Compare -8 and -31
  Swap -8 and -31
  List after swap: [-31, -8, 23, 97, -33, 78, -56, -83, -50]
  Compare -8 and 23
  No swap needed
  Compare 23 and 97
  No swap needed
  Compare 97 and -33
  Swap 97 and -33
  List after swap: [-31, -8, 23, -33, 97, 78, -56, -83, -50]
  Compare 97 and 78
  Swap 97 and 78
  List after swap: [-31, -8, 23, -33, 78, 97, -56, -83, -50]
  Compare 97 and -56
  Swap 97 and -56
  List after swap: [-31, -8, 23, -33, 78, -56, 97, -83, -50]
  Compare 97 and -83
  Swap 97 and -83
  List after swap: [-31, -8, 23, -33, 78, -56, -83, 97, -50]
  Compare 97 and -50
  Swap 97 and -50
  List after swap: [-31, -8, 23, -33, 78, -56, -83, -50, 97]

Pass 2:
  Compare -31 and -8
  No swap needed
  Compare -8 and 23
  No swap needed
  Compare 23 and -33
  Swap 23 and -33
  List after swap: [-31, -8, -33, 23, 78, -56, -83, -50, 97]
  Compare 23 and 78
  No swap needed
  Compare 78 and -56
  Swap 78 and -56
  List after swap: [-31, -8, -33, 23, -56, 78, -83, -50, 97]
  Compare 78 and -83
  Swap 78 and -83
  List after swap: [-31, -8, -33, 23, -56, -83, 78, -50, 97]
  Compare 78 and -50
  Swap 78 and -50
  List after swap: [-31, -8, -33, 23, -56, -83, -50, 78, 97]

Pass 3:
  Compare -31 and -8
  No swap needed
  Compare -8 and -33
  Swap -8 and -33
  List after swap: [-31, -33, -8, 23, -56, -83, -50, 78, 97]
  Compare -8 and 23
  No swap needed
  Compare 23 and -56
  Swap 23 and -56
  List after swap: [-31, -33, -8, -56, 23, -83, -50, 78, 97]
  Compare 23 and -83
  Swap 23 and -83
  List after swap: [-31, -33, -8, -56, -83, 23, -50, 78, 97]
  Compare 23 and -50
  Swap 23 and -50
  List after swap: [-31, -33, -8, -56, -83, -50, 23, 78, 97]

Pass 4:
  Compare -31 and -33
  Swap -31 and -33
  List after swap: [-33, -31, -8, -56, -83, -50, 23, 78, 97]
  Compare -31 and -8
  No swap needed
  Compare -8 and -56
  Swap -8 and -56
  List after swap: [-33, -31, -56, -8, -83, -50, 23, 78, 97]
  Compare -8 and -83
  Swap -8 and -83
  List after swap: [-33, -31, -56, -83, -8, -50, 23, 78, 97]
  Compare -8 and -50
  Swap -8 and -50
  List after swap: [-33, -31, -56, -83, -50, -8, 23, 78, 97]

Pass 5:
  Compare -33 and -31
  No swap needed
  Compare -31 and -56
  Swap -31 and -56
  List after swap: [-33, -56, -31, -83, -50, -8, 23, 78, 97]
  Compare -31 and -83
  Swap -31 and -83
  List after swap: [-33, -56, -83, -31, -50, -8, 23, 78, 97]
  Compare -31 and -50
  Swap -31 and -50
  List after swap: [-33, -56, -83, -50, -31, -8, 23, 78, 97]

Pass 6:
  Compare -33 and -56
  Swap -33 and -56
  List after swap: [-56, -33, -83, -50, -31, -8, 23, 78, 97]
  Compare -33 and -83
  Swap -33 and -83
  List after swap: [-56, -83, -33, -50, -31, -8, 23, 78, 97]
  Compare -33 and -50
  Swap -33 and -50
  List after swap: [-56, -83, -50, -33, -31, -8, 23, 78, 97]

Pass 7:
  Compare -56 and -83
  Swap -56 and -83
  List after swap: [-83, -56, -50, -33, -31, -8, 23, 78, 97]
  Compare -56 and -50
  No swap needed

Pass 8:
  Compare -83 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -56, -50, -33, -31, -8, 23, 78, 97]
</think>

<response>-83, -56, -50, -33, -31, -8, 23, 78, 97</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -55, 35, 46, -25, -78, 50.

output:
<think>
Initial list: [-55, 35, 46, -25, -78, 50]

Pass 1:
  Compare -55 and 35
  No swap needed
  Compare 35 and 46
  No swap needed
  Compare 46 and -25
  Swap 46 and -25
  List after swap: [-55, 35, -25, 46, -78, 50]
  Compare 46 and -78
  Swap 46 and -78
  List after swap: [-55, 35, -25, -78, 46, 50]
  Compare 46 and 50
  No swap needed

Pass 2:
  Compare -55 and 35
  No swap needed
  Compare 35 and -25
  Swap 35 and -25
  List after swap: [-55, -25, 35, -78, 46, 50]
  Compare 35 and -78
  Swap 35 and -78
  List after swap: [-55, -25, -78, 35, 46, 50]
  Compare 35 and 46
  No swap needed

Pass 3:
  Compare -55 and -25
  No swap needed
  Compare -25 and -78
  Swap -25 and -78
  List after swap: [-55, -78, -25, 35, 46, 50]
  Compare -25 and 35
  No swap needed

Pass 4:
  Compare -55 and -78
  Swap -55 and -78
  List after swap: [-78, -55, -25, 35, 46, 50]
  Compare -55 and -25
  No swap needed

Pass 5:
  Compare -78 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -55, -25, 35, 46, 50]
</think>

<response>-78, -55, -25, 35, 46, 50</response>


input: Perform a bubble sort on the integers -72, -8, -57, 15, 72, 91, 96, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-72, -8, -57, 15, 72, 91, 96]

Pass 1:
  Compare -72 and -8
  No swap needed
  Compare -8 and -57
  Swap -8 and -57
  List after swap: [-72, -57, -8, 15, 72, 91, 96]
  Compare -8 and 15
  No swap needed
  Compare 15 and 72
  No swap needed
  Compare 72 and 91
  No swap needed
  Compare 91 and 96
  No swap needed

Pass 2:
  Compare -72 and -57
  No swap needed
  Compare -57 and -8
  No swap needed
  Compare -8 and 15
  No swap needed
  Compare 15 and 72
  No swap needed
  Compare 72 and 91
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -57, -8, 15, 72, 91, 96]
</think>

<response>-72, -57, -8, 15, 72, 91, 96</response>