input: Demonstrate how bubble sort orders the integers -9, -61, 67, -72, -58, 85, 25 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-9, -61, 67, -72, -58, 85, 25]

Pass 1:
  Compare -9 and -61
  Swap -9 and -61
  List after swap: [-61, -9, 67, -72, -58, 85, 25]
  Compare -9 and 67
  No swap needed
  Compare 67 and -72
  Swap 67 and -72
  List after swap: [-61, -9, -72, 67, -58, 85, 25]
  Compare 67 and -58
  Swap 67 and -58
  List after swap: [-61, -9, -72, -58, 67, 85, 25]
  Compare 67 and 85
  No swap needed
  Compare 85 and 25
  Swap 85 and 25
  List after swap: [-61, -9, -72, -58, 67, 25, 85]

Pass 2:
  Compare -61 and -9
  No swap needed
  Compare -9 and -72
  Swap -9 and -72
  List after swap: [-61, -72, -9, -58, 67, 25, 85]
  Compare -9 and -58
  Swap -9 and -58
  List after swap: [-61, -72, -58, -9, 67, 25, 85]
  Compare -9 and 67
  No swap needed
  Compare 67 and 25
  Swap 67 and 25
  List after swap: [-61, -72, -58, -9, 25, 67, 85]

Pass 3:
  Compare -61 and -72
  Swap -61 and -72
  List after swap: [-72, -61, -58, -9, 25, 67, 85]
  Compare -61 and -58
  No swap needed
  Compare -58 and -9
  No swap needed
  Compare -9 and 25
  No swap needed

Pass 4:
  Compare -72 and -61
  No swap needed
  Compare -61 and -58
  No swap needed
  Compare -58 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -61, -58, -9, 25, 67, 85]
</think>

<response>-72, -61, -58, -9, 25, 67, 85</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -29, 81, -42, -44, 20, -93.

output:
<think>
Initial list: [-29, 81, -42, -44, 20, -93]

Pass 1:
  Compare -29 and 81
  No swap needed
  Compare 81 and -42
  Swap 81 and -42
  List after swap: [-29, -42, 81, -44, 20, -93]
  Compare 81 and -44
  Swap 81 and -44
  List after swap: [-29, -42, -44, 81, 20, -93]
  Compare 81 and 20
  Swap 81 and 20
  List after swap: [-29, -42, -44, 20, 81, -93]
  Compare 81 and -93
  Swap 81 and -93
  List after swap: [-29, -42, -44, 20, -93, 81]

Pass 2:
  Compare -29 and -42
  Swap -29 and -42
  List after swap: [-42, -29, -44, 20, -93, 81]
  Compare -29 and -44
  Swap -29 and -44
  List after swap: [-42, -44, -29, 20, -93, 81]
  Compare -29 and 20
  No swap needed
  Compare 20 and -93
  Swap 20 and -93
  List after swap: [-42, -44, -29, -93, 20, 81]

Pass 3:
  Compare -42 and -44
  Swap -42 and -44
  List after swap: [-44, -42, -29, -93, 20, 81]
  Compare -42 and -29
  No swap needed
  Compare -29 and -93
  Swap -29 and -93
  List after swap: [-44, -42, -93, -29, 20, 81]

Pass 4:
  Compare -44 and -42
  No swap needed
  Compare -42 and -93
  Swap -42 and -93
  List after swap: [-44, -93, -42, -29, 20, 81]

Pass 5:
  Compare -44 and -93
  Swap -44 and -93
  List after swap: [-93, -44, -42, -29, 20, 81]

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

Final sorted list: [-93, -44, -42, -29, 20, 81]
</think>

<response>-93, -44, -42, -29, 20, 81</response>


input: Sort these integers -99, -75, -58, 4, -37, 58 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-99, -75, -58, 4, -37, 58]

Pass 1:
  Compare -99 and -75
  No swap needed
  Compare -75 and -58
  No swap needed
  Compare -58 and 4
  No swap needed
  Compare 4 and -37
  Swap 4 and -37
  List after swap: [-99, -75, -58, -37, 4, 58]
  Compare 4 and 58
  No swap needed

Pass 2:
  Compare -99 and -75
  No swap needed
  Compare -75 and -58
  No swap needed
  Compare -58 and -37
  No swap needed
  Compare -37 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -75, -58, -37, 4, 58]
</think>

<response>-99, -75, -58, -37, 4, 58</response>


input: Arrange the numbers 4, 37, 59, -58, 29, -89, 52, -76, -7, -60 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [4, 37, 59, -58, 29, -89, 52, -76, -7, -60]

Pass 1:
  Compare 4 and 37
  No swap needed
  Compare 37 and 59
  No swap needed
  Compare 59 and -58
  Swap 59 and -58
  List after swap: [4, 37, -58, 59, 29, -89, 52, -76, -7, -60]
  Compare 59 and 29
  Swap 59 and 29
  List after swap: [4, 37, -58, 29, 59, -89, 52, -76, -7, -60]
  Compare 59 and -89
  Swap 59 and -89
  List after swap: [4, 37, -58, 29, -89, 59, 52, -76, -7, -60]
  Compare 59 and 52
  Swap 59 and 52
  List after swap: [4, 37, -58, 29, -89, 52, 59, -76, -7, -60]
  Compare 59 and -76
  Swap 59 and -76
  List after swap: [4, 37, -58, 29, -89, 52, -76, 59, -7, -60]
  Compare 59 and -7
  Swap 59 and -7
  List after swap: [4, 37, -58, 29, -89, 52, -76, -7, 59, -60]
  Compare 59 and -60
  Swap 59 and -60
  List after swap: [4, 37, -58, 29, -89, 52, -76, -7, -60, 59]

Pass 2:
  Compare 4 and 37
  No swap needed
  Compare 37 and -58
  Swap 37 and -58
  List after swap: [4, -58, 37, 29, -89, 52, -76, -7, -60, 59]
  Compare 37 and 29
  Swap 37 and 29
  List after swap: [4, -58, 29, 37, -89, 52, -76, -7, -60, 59]
  Compare 37 and -89
  Swap 37 and -89
  List after swap: [4, -58, 29, -89, 37, 52, -76, -7, -60, 59]
  Compare 37 and 52
  No swap needed
  Compare 52 and -76
  Swap 52 and -76
  List after swap: [4, -58, 29, -89, 37, -76, 52, -7, -60, 59]
  Compare 52 and -7
  Swap 52 and -7
  List after swap: [4, -58, 29, -89, 37, -76, -7, 52, -60, 59]
  Compare 52 and -60
  Swap 52 and -60
  List after swap: [4, -58, 29, -89, 37, -76, -7, -60, 52, 59]

Pass 3:
  Compare 4 and -58
  Swap 4 and -58
  List after swap: [-58, 4, 29, -89, 37, -76, -7, -60, 52, 59]
  Compare 4 and 29
  No swap needed
  Compare 29 and -89
  Swap 29 and -89
  List after swap: [-58, 4, -89, 29, 37, -76, -7, -60, 52, 59]
  Compare 29 and 37
  No swap needed
  Compare 37 and -76
  Swap 37 and -76
  List after swap: [-58, 4, -89, 29, -76, 37, -7, -60, 52, 59]
  Compare 37 and -7
  Swap 37 and -7
  List after swap: [-58, 4, -89, 29, -76, -7, 37, -60, 52, 59]
  Compare 37 and -60
  Swap 37 and -60
  List after swap: [-58, 4, -89, 29, -76, -7, -60, 37, 52, 59]

Pass 4:
  Compare -58 and 4
  No swap needed
  Compare 4 and -89
  Swap 4 and -89
  List after swap: [-58, -89, 4, 29, -76, -7, -60, 37, 52, 59]
  Compare 4 and 29
  No swap needed
  Compare 29 and -76
  Swap 29 and -76
  List after swap: [-58, -89, 4, -76, 29, -7, -60, 37, 52, 59]
  Compare 29 and -7
  Swap 29 and -7
  List after swap: [-58, -89, 4, -76, -7, 29, -60, 37, 52, 59]
  Compare 29 and -60
  Swap 29 and -60
  List after swap: [-58, -89, 4, -76, -7, -60, 29, 37, 52, 59]

Pass 5:
  Compare -58 and -89
  Swap -58 and -89
  List after swap: [-89, -58, 4, -76, -7, -60, 29, 37, 52, 59]
  Compare -58 and 4
  No swap needed
  Compare 4 and -76
  Swap 4 and -76
  List after swap: [-89, -58, -76, 4, -7, -60, 29, 37, 52, 59]
  Compare 4 and -7
  Swap 4 and -7
  List after swap: [-89, -58, -76, -7, 4, -60, 29, 37, 52, 59]
  Compare 4 and -60
  Swap 4 and -60
  List after swap: [-89, -58, -76, -7, -60, 4, 29, 37, 52, 59]

Pass 6:
  Compare -89 and -58
  No swap needed
  Compare -58 and -76
  Swap -58 and -76
  List after swap: [-89, -76, -58, -7, -60, 4, 29, 37, 52, 59]
  Compare -58 and -7
  No swap needed
  Compare -7 and -60
  Swap -7 and -60
  List after swap: [-89, -76, -58, -60, -7, 4, 29, 37, 52, 59]

Pass 7:
  Compare -89 and -76
  No swap needed
  Compare -76 and -58
  No swap needed
  Compare -58 and -60
  Swap -58 and -60
  List after swap: [-89, -76, -60, -58, -7, 4, 29, 37, 52, 59]

Pass 8:
  Compare -89 and -76
  No swap needed
  Compare -76 and -60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -76, -60, -58, -7, 4, 29, 37, 52, 59]
</think>

<response>-89, -76, -60, -58, -7, 4, 29, 37, 52, 59</response>


input: Implement bubble sort on -28, -96, 54, 40, -3, 80, 42, 87, -67, 15 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-28, -96, 54, 40, -3, 80, 42, 87, -67, 15]

Pass 1:
  Compare -28 and -96
  Swap -28 and -96
  List after swap: [-96, -28, 54, 40, -3, 80, 42, 87, -67, 15]
  Compare -28 and 54
  No swap needed
  Compare 54 and 40
  Swap 54 and 40
  List after swap: [-96, -28, 40, 54, -3, 80, 42, 87, -67, 15]
  Compare 54 and -3
  Swap 54 and -3
  List after swap: [-96, -28, 40, -3, 54, 80, 42, 87, -67, 15]
  Compare 54 and 80
  No swap needed
  Compare 80 and 42
  Swap 80 and 42
  List after swap: [-96, -28, 40, -3, 54, 42, 80, 87, -67, 15]
  Compare 80 and 87
  No swap needed
  Compare 87 and -67
  Swap 87 and -67
  List after swap: [-96, -28, 40, -3, 54, 42, 80, -67, 87, 15]
  Compare 87 and 15
  Swap 87 and 15
  List after swap: [-96, -28, 40, -3, 54, 42, 80, -67, 15, 87]

Pass 2:
  Compare -96 and -28
  No swap needed
  Compare -28 and 40
  No swap needed
  Compare 40 and -3
  Swap 40 and -3
  List after swap: [-96, -28, -3, 40, 54, 42, 80, -67, 15, 87]
  Compare 40 and 54
  No swap needed
  Compare 54 and 42
  Swap 54 and 42
  List after swap: [-96, -28, -3, 40, 42, 54, 80, -67, 15, 87]
  Compare 54 and 80
  No swap needed
  Compare 80 and -67
  Swap 80 and -67
  List after swap: [-96, -28, -3, 40, 42, 54, -67, 80, 15, 87]
  Compare 80 and 15
  Swap 80 and 15
  List after swap: [-96, -28, -3, 40, 42, 54, -67, 15, 80, 87]

Pass 3:
  Compare -96 and -28
  No swap needed
  Compare -28 and -3
  No swap needed
  Compare -3 and 40
  No swap needed
  Compare 40 and 42
  No swap needed
  Compare 42 and 54
  No swap needed
  Compare 54 and -67
  Swap 54 and -67
  List after swap: [-96, -28, -3, 40, 42, -67, 54, 15, 80, 87]
  Compare 54 and 15
  Swap 54 and 15
  List after swap: [-96, -28, -3, 40, 42, -67, 15, 54, 80, 87]

Pass 4:
  Compare -96 and -28
  No swap needed
  Compare -28 and -3
  No swap needed
  Compare -3 and 40
  No swap needed
  Compare 40 and 42
  No swap needed
  Compare 42 and -67
  Swap 42 and -67
  List after swap: [-96, -28, -3, 40, -67, 42, 15, 54, 80, 87]
  Compare 42 and 15
  Swap 42 and 15
  List after swap: [-96, -28, -3, 40, -67, 15, 42, 54, 80, 87]

Pass 5:
  Compare -96 and -28
  No swap needed
  Compare -28 and -3
  No swap needed
  Compare -3 and 40
  No swap needed
  Compare 40 and -67
  Swap 40 and -67
  List after swap: [-96, -28, -3, -67, 40, 15, 42, 54, 80, 87]
  Compare 40 and 15
  Swap 40 and 15
  List after swap: [-96, -28, -3, -67, 15, 40, 42, 54, 80, 87]

Pass 6:
  Compare -96 and -28
  No swap needed
  Compare -28 and -3
  No swap needed
  Compare -3 and -67
  Swap -3 and -67
  List after swap: [-96, -28, -67, -3, 15, 40, 42, 54, 80, 87]
  Compare -3 and 15
  No swap needed

Pass 7:
  Compare -96 and -28
  No swap needed
  Compare -28 and -67
  Swap -28 and -67
  List after swap: [-96, -67, -28, -3, 15, 40, 42, 54, 80, 87]
  Compare -28 and -3
  No swap needed

Pass 8:
  Compare -96 and -67
  No swap needed
  Compare -67 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -67, -28, -3, 15, 40, 42, 54, 80, 87]
</think>

<response>-96, -67, -28, -3, 15, 40, 42, 54, 80, 87</response>


input: Sort these integers -64, -48, -20, 80, -54, -13, -4, 70, 67 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-64, -48, -20, 80, -54, -13, -4, 70, 67]

Pass 1:
  Compare -64 and -48
  No swap needed
  Compare -48 and -20
  No swap needed
  Compare -20 and 80
  No swap needed
  Compare 80 and -54
  Swap 80 and -54
  List after swap: [-64, -48, -20, -54, 80, -13, -4, 70, 67]
  Compare 80 and -13
  Swap 80 and -13
  List after swap: [-64, -48, -20, -54, -13, 80, -4, 70, 67]
  Compare 80 and -4
  Swap 80 and -4
  List after swap: [-64, -48, -20, -54, -13, -4, 80, 70, 67]
  Compare 80 and 70
  Swap 80 and 70
  List after swap: [-64, -48, -20, -54, -13, -4, 70, 80, 67]
  Compare 80 and 67
  Swap 80 and 67
  List after swap: [-64, -48, -20, -54, -13, -4, 70, 67, 80]

Pass 2:
  Compare -64 and -48
  No swap needed
  Compare -48 and -20
  No swap needed
  Compare -20 and -54
  Swap -20 and -54
  List after swap: [-64, -48, -54, -20, -13, -4, 70, 67, 80]
  Compare -20 and -13
  No swap needed
  Compare -13 and -4
  No swap needed
  Compare -4 and 70
  No swap needed
  Compare 70 and 67
  Swap 70 and 67
  List after swap: [-64, -48, -54, -20, -13, -4, 67, 70, 80]

Pass 3:
  Compare -64 and -48
  No swap needed
  Compare -48 and -54
  Swap -48 and -54
  List after swap: [-64, -54, -48, -20, -13, -4, 67, 70, 80]
  Compare -48 and -20
  No swap needed
  Compare -20 and -13
  No swap needed
  Compare -13 and -4
  No swap needed
  Compare -4 and 67
  No swap needed

Pass 4:
  Compare -64 and -54
  No swap needed
  Compare -54 and -48
  No swap needed
  Compare -48 and -20
  No swap needed
  Compare -20 and -13
  No swap needed
  Compare -13 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -54, -48, -20, -13, -4, 67, 70, 80]
</think>

<response>-64, -54, -48, -20, -13, -4, 67, 70, 80</response>


input: Perform a bubble sort on the integers -4, -18, -33, 63, 26, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-4, -18, -33, 63, 26]

Pass 1:
  Compare -4 and -18
  Swap -4 and -18
  List after swap: [-18, -4, -33, 63, 26]
  Compare -4 and -33
  Swap -4 and -33
  List after swap: [-18, -33, -4, 63, 26]
  Compare -4 and 63
  No swap needed
  Compare 63 and 26
  Swap 63 and 26
  List after swap: [-18, -33, -4, 26, 63]

Pass 2:
  Compare -18 and -33
  Swap -18 and -33
  List after swap: [-33, -18, -4, 26, 63]
  Compare -18 and -4
  No swap needed
  Compare -4 and 26
  No swap needed

Pass 3:
  Compare -33 and -18
  No swap needed
  Compare -18 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-33, -18, -4, 26, 63]
</think>

<response>-33, -18, -4, 26, 63</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -86, 43, 17, 11, 75, -52, -99, -78, -82, -4.

output:
<think>
Initial list: [-86, 43, 17, 11, 75, -52, -99, -78, -82, -4]

Pass 1:
  Compare -86 and 43
  No swap needed
  Compare 43 and 17
  Swap 43 and 17
  List after swap: [-86, 17, 43, 11, 75, -52, -99, -78, -82, -4]
  Compare 43 and 11
  Swap 43 and 11
  List after swap: [-86, 17, 11, 43, 75, -52, -99, -78, -82, -4]
  Compare 43 and 75
  No swap needed
  Compare 75 and -52
  Swap 75 and -52
  List after swap: [-86, 17, 11, 43, -52, 75, -99, -78, -82, -4]
  Compare 75 and -99
  Swap 75 and -99
  List after swap: [-86, 17, 11, 43, -52, -99, 75, -78, -82, -4]
  Compare 75 and -78
  Swap 75 and -78
  List after swap: [-86, 17, 11, 43, -52, -99, -78, 75, -82, -4]
  Compare 75 and -82
  Swap 75 and -82
  List after swap: [-86, 17, 11, 43, -52, -99, -78, -82, 75, -4]
  Compare 75 and -4
  Swap 75 and -4
  List after swap: [-86, 17, 11, 43, -52, -99, -78, -82, -4, 75]

Pass 2:
  Compare -86 and 17
  No swap needed
  Compare 17 and 11
  Swap 17 and 11
  List after swap: [-86, 11, 17, 43, -52, -99, -78, -82, -4, 75]
  Compare 17 and 43
  No swap needed
  Compare 43 and -52
  Swap 43 and -52
  List after swap: [-86, 11, 17, -52, 43, -99, -78, -82, -4, 75]
  Compare 43 and -99
  Swap 43 and -99
  List after swap: [-86, 11, 17, -52, -99, 43, -78, -82, -4, 75]
  Compare 43 and -78
  Swap 43 and -78
  List after swap: [-86, 11, 17, -52, -99, -78, 43, -82, -4, 75]
  Compare 43 and -82
  Swap 43 and -82
  List after swap: [-86, 11, 17, -52, -99, -78, -82, 43, -4, 75]
  Compare 43 and -4
  Swap 43 and -4
  List after swap: [-86, 11, 17, -52, -99, -78, -82, -4, 43, 75]

Pass 3:
  Compare -86 and 11
  No swap needed
  Compare 11 and 17
  No swap needed
  Compare 17 and -52
  Swap 17 and -52
  List after swap: [-86, 11, -52, 17, -99, -78, -82, -4, 43, 75]
  Compare 17 and -99
  Swap 17 and -99
  List after swap: [-86, 11, -52, -99, 17, -78, -82, -4, 43, 75]
  Compare 17 and -78
  Swap 17 and -78
  List after swap: [-86, 11, -52, -99, -78, 17, -82, -4, 43, 75]
  Compare 17 and -82
  Swap 17 and -82
  List after swap: [-86, 11, -52, -99, -78, -82, 17, -4, 43, 75]
  Compare 17 and -4
  Swap 17 and -4
  List after swap: [-86, 11, -52, -99, -78, -82, -4, 17, 43, 75]

Pass 4:
  Compare -86 and 11
  No swap needed
  Compare 11 and -52
  Swap 11 and -52
  List after swap: [-86, -52, 11, -99, -78, -82, -4, 17, 43, 75]
  Compare 11 and -99
  Swap 11 and -99
  List after swap: [-86, -52, -99, 11, -78, -82, -4, 17, 43, 75]
  Compare 11 and -78
  Swap 11 and -78
  List after swap: [-86, -52, -99, -78, 11, -82, -4, 17, 43, 75]
  Compare 11 and -82
  Swap 11 and -82
  List after swap: [-86, -52, -99, -78, -82, 11, -4, 17, 43, 75]
  Compare 11 and -4
  Swap 11 and -4
  List after swap: [-86, -52, -99, -78, -82, -4, 11, 17, 43, 75]

Pass 5:
  Compare -86 and -52
  No swap needed
  Compare -52 and -99
  Swap -52 and -99
  List after swap: [-86, -99, -52, -78, -82, -4, 11, 17, 43, 75]
  Compare -52 and -78
  Swap -52 and -78
  List after swap: [-86, -99, -78, -52, -82, -4, 11, 17, 43, 75]
  Compare -52 and -82
  Swap -52 and -82
  List after swap: [-86, -99, -78, -82, -52, -4, 11, 17, 43, 75]
  Compare -52 and -4
  No swap needed

Pass 6:
  Compare -86 and -99
  Swap -86 and -99
  List after swap: [-99, -86, -78, -82, -52, -4, 11, 17, 43, 75]
  Compare -86 and -78
  No swap needed
  Compare -78 and -82
  Swap -78 and -82
  List after swap: [-99, -86, -82, -78, -52, -4, 11, 17, 43, 75]
  Compare -78 and -52
  No swap needed

Pass 7:
  Compare -99 and -86
  No swap needed
  Compare -86 and -82
  No swap needed
  Compare -82 and -78
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -86, -82, -78, -52, -4, 11, 17, 43, 75]
</think>

<response>-99, -86, -82, -78, -52, -4, 11, 17, 43, 75</response>


input: Demonstrate how bubble sort orders the integers -11, 65, 72, 75, 43 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-11, 65, 72, 75, 43]

Pass 1:
  Compare -11 and 65
  No swap needed
  Compare 65 and 72
  No swap needed
  Compare 72 and 75
  No swap needed
  Compare 75 and 43
  Swap 75 and 43
  List after swap: [-11, 65, 72, 43, 75]

Pass 2:
  Compare -11 and 65
  No swap needed
  Compare 65 and 72
  No swap needed
  Compare 72 and 43
  Swap 72 and 43
  List after swap: [-11, 65, 43, 72, 75]

Pass 3:
  Compare -11 and 65
  No swap needed
  Compare 65 and 43
  Swap 65 and 43
  List after swap: [-11, 43, 65, 72, 75]

Pass 4:
  Compare -11 and 43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-11, 43, 65, 72, 75]
</think>

<response>-11, 43, 65, 72, 75</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 89, -87.

output:
<think>
Initial list: [89, -87]

Pass 1:
  Compare 89 and -87
  Swap 89 and -87
  List after swap: [-87, 89]

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

Final sorted list: [-87, 89]
</think>

<response>-87, 89</response>


input: Demonstrate how bubble sort orders the integers 95, 11, -86, -65, -70, 62 in ascending sequence, showing all steps.

output:
<think>
Initial list: [95, 11, -86, -65, -70, 62]

Pass 1:
  Compare 95 and 11
  Swap 95 and 11
  List after swap: [11, 95, -86, -65, -70, 62]
  Compare 95 and -86
  Swap 95 and -86
  List after swap: [11, -86, 95, -65, -70, 62]
  Compare 95 and -65
  Swap 95 and -65
  List after swap: [11, -86, -65, 95, -70, 62]
  Compare 95 and -70
  Swap 95 and -70
  List after swap: [11, -86, -65, -70, 95, 62]
  Compare 95 and 62
  Swap 95 and 62
  List after swap: [11, -86, -65, -70, 62, 95]

Pass 2:
  Compare 11 and -86
  Swap 11 and -86
  List after swap: [-86, 11, -65, -70, 62, 95]
  Compare 11 and -65
  Swap 11 and -65
  List after swap: [-86, -65, 11, -70, 62, 95]
  Compare 11 and -70
  Swap 11 and -70
  List after swap: [-86, -65, -70, 11, 62, 95]
  Compare 11 and 62
  No swap needed

Pass 3:
  Compare -86 and -65
  No swap needed
  Compare -65 and -70
  Swap -65 and -70
  List after swap: [-86, -70, -65, 11, 62, 95]
  Compare -65 and 11
  No swap needed

Pass 4:
  Compare -86 and -70
  No swap needed
  Compare -70 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -70, -65, 11, 62, 95]
</think>

<response>-86, -70, -65, 11, 62, 95</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -62, -6.

output:
<think>
Initial list: [-62, -6]

Pass 1:
  Compare -62 and -6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -6]
</think>

<response>-62, -6</response>


input: Execute bubble sort to sort 51, 60, -76, -80, 82, -26, -86, -9 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [51, 60, -76, -80, 82, -26, -86, -9]

Pass 1:
  Compare 51 and 60
  No swap needed
  Compare 60 and -76
  Swap 60 and -76
  List after swap: [51, -76, 60, -80, 82, -26, -86, -9]
  Compare 60 and -80
  Swap 60 and -80
  List after swap: [51, -76, -80, 60, 82, -26, -86, -9]
  Compare 60 and 82
  No swap needed
  Compare 82 and -26
  Swap 82 and -26
  List after swap: [51, -76, -80, 60, -26, 82, -86, -9]
  Compare 82 and -86
  Swap 82 and -86
  List after swap: [51, -76, -80, 60, -26, -86, 82, -9]
  Compare 82 and -9
  Swap 82 and -9
  List after swap: [51, -76, -80, 60, -26, -86, -9, 82]

Pass 2:
  Compare 51 and -76
  Swap 51 and -76
  List after swap: [-76, 51, -80, 60, -26, -86, -9, 82]
  Compare 51 and -80
  Swap 51 and -80
  List after swap: [-76, -80, 51, 60, -26, -86, -9, 82]
  Compare 51 and 60
  No swap needed
  Compare 60 and -26
  Swap 60 and -26
  List after swap: [-76, -80, 51, -26, 60, -86, -9, 82]
  Compare 60 and -86
  Swap 60 and -86
  List after swap: [-76, -80, 51, -26, -86, 60, -9, 82]
  Compare 60 and -9
  Swap 60 and -9
  List after swap: [-76, -80, 51, -26, -86, -9, 60, 82]

Pass 3:
  Compare -76 and -80
  Swap -76 and -80
  List after swap: [-80, -76, 51, -26, -86, -9, 60, 82]
  Compare -76 and 51
  No swap needed
  Compare 51 and -26
  Swap 51 and -26
  List after swap: [-80, -76, -26, 51, -86, -9, 60, 82]
  Compare 51 and -86
  Swap 51 and -86
  List after swap: [-80, -76, -26, -86, 51, -9, 60, 82]
  Compare 51 and -9
  Swap 51 and -9
  List after swap: [-80, -76, -26, -86, -9, 51, 60, 82]

Pass 4:
  Compare -80 and -76
  No swap needed
  Compare -76 and -26
  No swap needed
  Compare -26 and -86
  Swap -26 and -86
  List after swap: [-80, -76, -86, -26, -9, 51, 60, 82]
  Compare -26 and -9
  No swap needed

Pass 5:
  Compare -80 and -76
  No swap needed
  Compare -76 and -86
  Swap -76 and -86
  List after swap: [-80, -86, -76, -26, -9, 51, 60, 82]
  Compare -76 and -26
  No swap needed

Pass 6:
  Compare -80 and -86
  Swap -80 and -86
  List after swap: [-86, -80, -76, -26, -9, 51, 60, 82]
  Compare -80 and -76
  No swap needed

Pass 7:
  Compare -86 and -80
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -80, -76, -26, -9, 51, 60, 82]
</think>

<response>-86, -80, -76, -26, -9, 51, 60, 82</response>


input: Perform a bubble sort on the integers 32, 8, -11, 4, 97, -27, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [32, 8, -11, 4, 97, -27]

Pass 1:
  Compare 32 and 8
  Swap 32 and 8
  List after swap: [8, 32, -11, 4, 97, -27]
  Compare 32 and -11
  Swap 32 and -11
  List after swap: [8, -11, 32, 4, 97, -27]
  Compare 32 and 4
  Swap 32 and 4
  List after swap: [8, -11, 4, 32, 97, -27]
  Compare 32 and 97
  No swap needed
  Compare 97 and -27
  Swap 97 and -27
  List after swap: [8, -11, 4, 32, -27, 97]

Pass 2:
  Compare 8 and -11
  Swap 8 and -11
  List after swap: [-11, 8, 4, 32, -27, 97]
  Compare 8 and 4
  Swap 8 and 4
  List after swap: [-11, 4, 8, 32, -27, 97]
  Compare 8 and 32
  No swap needed
  Compare 32 and -27
  Swap 32 and -27
  List after swap: [-11, 4, 8, -27, 32, 97]

Pass 3:
  Compare -11 and 4
  No swap needed
  Compare 4 and 8
  No swap needed
  Compare 8 and -27
  Swap 8 and -27
  List after swap: [-11, 4, -27, 8, 32, 97]

Pass 4:
  Compare -11 and 4
  No swap needed
  Compare 4 and -27
  Swap 4 and -27
  List after swap: [-11, -27, 4, 8, 32, 97]

Pass 5:
  Compare -11 and -27
  Swap -11 and -27
  List after swap: [-27, -11, 4, 8, 32, 97]

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

Final sorted list: [-27, -11, 4, 8, 32, 97]
</think>

<response>-27, -11, 4, 8, 32, 97</response>


input: Carry out the bubble sort algorithm on -92, 43, 9, 82, 92, 56, 94, 81, 0, 91 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-92, 43, 9, 82, 92, 56, 94, 81, 0, 91]

Pass 1:
  Compare -92 and 43
  No swap needed
  Compare 43 and 9
  Swap 43 and 9
  List after swap: [-92, 9, 43, 82, 92, 56, 94, 81, 0, 91]
  Compare 43 and 82
  No swap needed
  Compare 82 and 92
  No swap needed
  Compare 92 and 56
  Swap 92 and 56
  List after swap: [-92, 9, 43, 82, 56, 92, 94, 81, 0, 91]
  Compare 92 and 94
  No swap needed
  Compare 94 and 81
  Swap 94 and 81
  List after swap: [-92, 9, 43, 82, 56, 92, 81, 94, 0, 91]
  Compare 94 and 0
  Swap 94 and 0
  List after swap: [-92, 9, 43, 82, 56, 92, 81, 0, 94, 91]
  Compare 94 and 91
  Swap 94 and 91
  List after swap: [-92, 9, 43, 82, 56, 92, 81, 0, 91, 94]

Pass 2:
  Compare -92 and 9
  No swap needed
  Compare 9 and 43
  No swap needed
  Compare 43 and 82
  No swap needed
  Compare 82 and 56
  Swap 82 and 56
  List after swap: [-92, 9, 43, 56, 82, 92, 81, 0, 91, 94]
  Compare 82 and 92
  No swap needed
  Compare 92 and 81
  Swap 92 and 81
  List after swap: [-92, 9, 43, 56, 82, 81, 92, 0, 91, 94]
  Compare 92 and 0
  Swap 92 and 0
  List after swap: [-92, 9, 43, 56, 82, 81, 0, 92, 91, 94]
  Compare 92 and 91
  Swap 92 and 91
  List after swap: [-92, 9, 43, 56, 82, 81, 0, 91, 92, 94]

Pass 3:
  Compare -92 and 9
  No swap needed
  Compare 9 and 43
  No swap needed
  Compare 43 and 56
  No swap needed
  Compare 56 and 82
  No swap needed
  Compare 82 and 81
  Swap 82 and 81
  List after swap: [-92, 9, 43, 56, 81, 82, 0, 91, 92, 94]
  Compare 82 and 0
  Swap 82 and 0
  List after swap: [-92, 9, 43, 56, 81, 0, 82, 91, 92, 94]
  Compare 82 and 91
  No swap needed

Pass 4:
  Compare -92 and 9
  No swap needed
  Compare 9 and 43
  No swap needed
  Compare 43 and 56
  No swap needed
  Compare 56 and 81
  No swap needed
  Compare 81 and 0
  Swap 81 and 0
  List after swap: [-92, 9, 43, 56, 0, 81, 82, 91, 92, 94]
  Compare 81 and 82
  No swap needed

Pass 5:
  Compare -92 and 9
  No swap needed
  Compare 9 and 43
  No swap needed
  Compare 43 and 56
  No swap needed
  Compare 56 and 0
  Swap 56 and 0
  List after swap: [-92, 9, 43, 0, 56, 81, 82, 91, 92, 94]
  Compare 56 and 81
  No swap needed

Pass 6:
  Compare -92 and 9
  No swap needed
  Compare 9 and 43
  No swap needed
  Compare 43 and 0
  Swap 43 and 0
  List after swap: [-92, 9, 0, 43, 56, 81, 82, 91, 92, 94]
  Compare 43 and 56
  No swap needed

Pass 7:
  Compare -92 and 9
  No swap needed
  Compare 9 and 0
  Swap 9 and 0
  List after swap: [-92, 0, 9, 43, 56, 81, 82, 91, 92, 94]
  Compare 9 and 43
  No swap needed

Pass 8:
  Compare -92 and 0
  No swap needed
  Compare 0 and 9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, 0, 9, 43, 56, 81, 82, 91, 92, 94]
</think>

<response>-92, 0, 9, 43, 56, 81, 82, 91, 92, 94</response>


input: Perform a bubble sort on the integers -47, -78, -30, -49, -75, -95, 27, 8, 28, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-47, -78, -30, -49, -75, -95, 27, 8, 28]

Pass 1:
  Compare -47 and -78
  Swap -47 and -78
  List after swap: [-78, -47, -30, -49, -75, -95, 27, 8, 28]
  Compare -47 and -30
  No swap needed
  Compare -30 and -49
  Swap -30 and -49
  List after swap: [-78, -47, -49, -30, -75, -95, 27, 8, 28]
  Compare -30 and -75
  Swap -30 and -75
  List after swap: [-78, -47, -49, -75, -30, -95, 27, 8, 28]
  Compare -30 and -95
  Swap -30 and -95
  List after swap: [-78, -47, -49, -75, -95, -30, 27, 8, 28]
  Compare -30 and 27
  No swap needed
  Compare 27 and 8
  Swap 27 and 8
  List after swap: [-78, -47, -49, -75, -95, -30, 8, 27, 28]
  Compare 27 and 28
  No swap needed

Pass 2:
  Compare -78 and -47
  No swap needed
  Compare -47 and -49
  Swap -47 and -49
  List after swap: [-78, -49, -47, -75, -95, -30, 8, 27, 28]
  Compare -47 and -75
  Swap -47 and -75
  List after swap: [-78, -49, -75, -47, -95, -30, 8, 27, 28]
  Compare -47 and -95
  Swap -47 and -95
  List after swap: [-78, -49, -75, -95, -47, -30, 8, 27, 28]
  Compare -47 and -30
  No swap needed
  Compare -30 and 8
  No swap needed
  Compare 8 and 27
  No swap needed

Pass 3:
  Compare -78 and -49
  No swap needed
  Compare -49 and -75
  Swap -49 and -75
  List after swap: [-78, -75, -49, -95, -47, -30, 8, 27, 28]
  Compare -49 and -95
  Swap -49 and -95
  List after swap: [-78, -75, -95, -49, -47, -30, 8, 27, 28]
  Compare -49 and -47
  No swap needed
  Compare -47 and -30
  No swap needed
  Compare -30 and 8
  No swap needed

Pass 4:
  Compare -78 and -75
  No swap needed
  Compare -75 and -95
  Swap -75 and -95
  List after swap: [-78, -95, -75, -49, -47, -30, 8, 27, 28]
  Compare -75 and -49
  No swap needed
  Compare -49 and -47
  No swap needed
  Compare -47 and -30
  No swap needed

Pass 5:
  Compare -78 and -95
  Swap -78 and -95
  List after swap: [-95, -78, -75, -49, -47, -30, 8, 27, 28]
  Compare -78 and -75
  No swap needed
  Compare -75 and -49
  No swap needed
  Compare -49 and -47
  No swap needed

Pass 6:
  Compare -95 and -78
  No swap needed
  Compare -78 and -75
  No swap needed
  Compare -75 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -78, -75, -49, -47, -30, 8, 27, 28]
</think>

<response>-95, -78, -75, -49, -47, -30, 8, 27, 28</response>


input: Execute bubble sort to sort 62, -48, 83, -93 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [62, -48, 83, -93]

Pass 1:
  Compare 62 and -48
  Swap 62 and -48
  List after swap: [-48, 62, 83, -93]
  Compare 62 and 83
  No swap needed
  Compare 83 and -93
  Swap 83 and -93
  List after swap: [-48, 62, -93, 83]

Pass 2:
  Compare -48 and 62
  No swap needed
  Compare 62 and -93
  Swap 62 and -93
  List after swap: [-48, -93, 62, 83]

Pass 3:
  Compare -48 and -93
  Swap -48 and -93
  List after swap: [-93, -48, 62, 83]

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

Final sorted list: [-93, -48, 62, 83]
</think>

<response>-93, -48, 62, 83</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 39, -34, 82, 98, 16, -90, 36, 35.

output:
<think>
Initial list: [39, -34, 82, 98, 16, -90, 36, 35]

Pass 1:
  Compare 39 and -34
  Swap 39 and -34
  List after swap: [-34, 39, 82, 98, 16, -90, 36, 35]
  Compare 39 and 82
  No swap needed
  Compare 82 and 98
  No swap needed
  Compare 98 and 16
  Swap 98 and 16
  List after swap: [-34, 39, 82, 16, 98, -90, 36, 35]
  Compare 98 and -90
  Swap 98 and -90
  List after swap: [-34, 39, 82, 16, -90, 98, 36, 35]
  Compare 98 and 36
  Swap 98 and 36
  List after swap: [-34, 39, 82, 16, -90, 36, 98, 35]
  Compare 98 and 35
  Swap 98 and 35
  List after swap: [-34, 39, 82, 16, -90, 36, 35, 98]

Pass 2:
  Compare -34 and 39
  No swap needed
  Compare 39 and 82
  No swap needed
  Compare 82 and 16
  Swap 82 and 16
  List after swap: [-34, 39, 16, 82, -90, 36, 35, 98]
  Compare 82 and -90
  Swap 82 and -90
  List after swap: [-34, 39, 16, -90, 82, 36, 35, 98]
  Compare 82 and 36
  Swap 82 and 36
  List after swap: [-34, 39, 16, -90, 36, 82, 35, 98]
  Compare 82 and 35
  Swap 82 and 35
  List after swap: [-34, 39, 16, -90, 36, 35, 82, 98]

Pass 3:
  Compare -34 and 39
  No swap needed
  Compare 39 and 16
  Swap 39 and 16
  List after swap: [-34, 16, 39, -90, 36, 35, 82, 98]
  Compare 39 and -90
  Swap 39 and -90
  List after swap: [-34, 16, -90, 39, 36, 35, 82, 98]
  Compare 39 and 36
  Swap 39 and 36
  List after swap: [-34, 16, -90, 36, 39, 35, 82, 98]
  Compare 39 and 35
  Swap 39 and 35
  List after swap: [-34, 16, -90, 36, 35, 39, 82, 98]

Pass 4:
  Compare -34 and 16
  No swap needed
  Compare 16 and -90
  Swap 16 and -90
  List after swap: [-34, -90, 16, 36, 35, 39, 82, 98]
  Compare 16 and 36
  No swap needed
  Compare 36 and 35
  Swap 36 and 35
  List after swap: [-34, -90, 16, 35, 36, 39, 82, 98]

Pass 5:
  Compare -34 and -90
  Swap -34 and -90
  List after swap: [-90, -34, 16, 35, 36, 39, 82, 98]
  Compare -34 and 16
  No swap needed
  Compare 16 and 35
  No swap needed

Pass 6:
  Compare -90 and -34
  No swap needed
  Compare -34 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -34, 16, 35, 36, 39, 82, 98]
</think>

<response>-90, -34, 16, 35, 36, 39, 82, 98</response>


input: Sort the list 58, 42, -43, 56, -54, 60, -98, 91, -27 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [58, 42, -43, 56, -54, 60, -98, 91, -27]

Pass 1:
  Compare 58 and 42
  Swap 58 and 42
  List after swap: [42, 58, -43, 56, -54, 60, -98, 91, -27]
  Compare 58 and -43
  Swap 58 and -43
  List after swap: [42, -43, 58, 56, -54, 60, -98, 91, -27]
  Compare 58 and 56
  Swap 58 and 56
  List after swap: [42, -43, 56, 58, -54, 60, -98, 91, -27]
  Compare 58 and -54
  Swap 58 and -54
  List after swap: [42, -43, 56, -54, 58, 60, -98, 91, -27]
  Compare 58 and 60
  No swap needed
  Compare 60 and -98
  Swap 60 and -98
  List after swap: [42, -43, 56, -54, 58, -98, 60, 91, -27]
  Compare 60 and 91
  No swap needed
  Compare 91 and -27
  Swap 91 and -27
  List after swap: [42, -43, 56, -54, 58, -98, 60, -27, 91]

Pass 2:
  Compare 42 and -43
  Swap 42 and -43
  List after swap: [-43, 42, 56, -54, 58, -98, 60, -27, 91]
  Compare 42 and 56
  No swap needed
  Compare 56 and -54
  Swap 56 and -54
  List after swap: [-43, 42, -54, 56, 58, -98, 60, -27, 91]
  Compare 56 and 58
  No swap needed
  Compare 58 and -98
  Swap 58 and -98
  List after swap: [-43, 42, -54, 56, -98, 58, 60, -27, 91]
  Compare 58 and 60
  No swap needed
  Compare 60 and -27
  Swap 60 and -27
  List after swap: [-43, 42, -54, 56, -98, 58, -27, 60, 91]

Pass 3:
  Compare -43 and 42
  No swap needed
  Compare 42 and -54
  Swap 42 and -54
  List after swap: [-43, -54, 42, 56, -98, 58, -27, 60, 91]
  Compare 42 and 56
  No swap needed
  Compare 56 and -98
  Swap 56 and -98
  List after swap: [-43, -54, 42, -98, 56, 58, -27, 60, 91]
  Compare 56 and 58
  No swap needed
  Compare 58 and -27
  Swap 58 and -27
  List after swap: [-43, -54, 42, -98, 56, -27, 58, 60, 91]

Pass 4:
  Compare -43 and -54
  Swap -43 and -54
  List after swap: [-54, -43, 42, -98, 56, -27, 58, 60, 91]
  Compare -43 and 42
  No swap needed
  Compare 42 and -98
  Swap 42 and -98
  List after swap: [-54, -43, -98, 42, 56, -27, 58, 60, 91]
  Compare 42 and 56
  No swap needed
  Compare 56 and -27
  Swap 56 and -27
  List after swap: [-54, -43, -98, 42, -27, 56, 58, 60, 91]

Pass 5:
  Compare -54 and -43
  No swap needed
  Compare -43 and -98
  Swap -43 and -98
  List after swap: [-54, -98, -43, 42, -27, 56, 58, 60, 91]
  Compare -43 and 42
  No swap needed
  Compare 42 and -27
  Swap 42 and -27
  List after swap: [-54, -98, -43, -27, 42, 56, 58, 60, 91]

Pass 6:
  Compare -54 and -98
  Swap -54 and -98
  List after swap: [-98, -54, -43, -27, 42, 56, 58, 60, 91]
  Compare -54 and -43
  No swap needed
  Compare -43 and -27
  No swap needed

Pass 7:
  Compare -98 and -54
  No swap needed
  Compare -54 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -54, -43, -27, 42, 56, 58, 60, 91]
</think>

<response>-98, -54, -43, -27, 42, 56, 58, 60, 91</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -6, -74, 6, 42, -81.

output:
<think>
Initial list: [-6, -74, 6, 42, -81]

Pass 1:
  Compare -6 and -74
  Swap -6 and -74
  List after swap: [-74, -6, 6, 42, -81]
  Compare -6 and 6
  No swap needed
  Compare 6 and 42
  No swap needed
  Compare 42 and -81
  Swap 42 and -81
  List after swap: [-74, -6, 6, -81, 42]

Pass 2:
  Compare -74 and -6
  No swap needed
  Compare -6 and 6
  No swap needed
  Compare 6 and -81
  Swap 6 and -81
  List after swap: [-74, -6, -81, 6, 42]

Pass 3:
  Compare -74 and -6
  No swap needed
  Compare -6 and -81
  Swap -6 and -81
  List after swap: [-74, -81, -6, 6, 42]

Pass 4:
  Compare -74 and -81
  Swap -74 and -81
  List after swap: [-81, -74, -6, 6, 42]

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

Final sorted list: [-81, -74, -6, 6, 42]
</think>

<response>-81, -74, -6, 6, 42</response>


input: Sort the list 72, 6, -86, 24 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [72, 6, -86, 24]

Pass 1:
  Compare 72 and 6
  Swap 72 and 6
  List after swap: [6, 72, -86, 24]
  Compare 72 and -86
  Swap 72 and -86
  List after swap: [6, -86, 72, 24]
  Compare 72 and 24
  Swap 72 and 24
  List after swap: [6, -86, 24, 72]

Pass 2:
  Compare 6 and -86
  Swap 6 and -86
  List after swap: [-86, 6, 24, 72]
  Compare 6 and 24
  No swap needed

Pass 3:
  Compare -86 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, 6, 24, 72]
</think>

<response>-86, 6, 24, 72</response>


input: Implement bubble sort on 28, -12, 48, 52, -65 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [28, -12, 48, 52, -65]

Pass 1:
  Compare 28 and -12
  Swap 28 and -12
  List after swap: [-12, 28, 48, 52, -65]
  Compare 28 and 48
  No swap needed
  Compare 48 and 52
  No swap needed
  Compare 52 and -65
  Swap 52 and -65
  List after swap: [-12, 28, 48, -65, 52]

Pass 2:
  Compare -12 and 28
  No swap needed
  Compare 28 and 48
  No swap needed
  Compare 48 and -65
  Swap 48 and -65
  List after swap: [-12, 28, -65, 48, 52]

Pass 3:
  Compare -12 and 28
  No swap needed
  Compare 28 and -65
  Swap 28 and -65
  List after swap: [-12, -65, 28, 48, 52]

Pass 4:
  Compare -12 and -65
  Swap -12 and -65
  List after swap: [-65, -12, 28, 48, 52]

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

Final sorted list: [-65, -12, 28, 48, 52]
</think>

<response>-65, -12, 28, 48, 52</response>


input: Use the bubble sort technique to reorder 41, 77, 59, 20, -61, 1, -25 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [41, 77, 59, 20, -61, 1, -25]

Pass 1:
  Compare 41 and 77
  No swap needed
  Compare 77 and 59
  Swap 77 and 59
  List after swap: [41, 59, 77, 20, -61, 1, -25]
  Compare 77 and 20
  Swap 77 and 20
  List after swap: [41, 59, 20, 77, -61, 1, -25]
  Compare 77 and -61
  Swap 77 and -61
  List after swap: [41, 59, 20, -61, 77, 1, -25]
  Compare 77 and 1
  Swap 77 and 1
  List after swap: [41, 59, 20, -61, 1, 77, -25]
  Compare 77 and -25
  Swap 77 and -25
  List after swap: [41, 59, 20, -61, 1, -25, 77]

Pass 2:
  Compare 41 and 59
  No swap needed
  Compare 59 and 20
  Swap 59 and 20
  List after swap: [41, 20, 59, -61, 1, -25, 77]
  Compare 59 and -61
  Swap 59 and -61
  List after swap: [41, 20, -61, 59, 1, -25, 77]
  Compare 59 and 1
  Swap 59 and 1
  List after swap: [41, 20, -61, 1, 59, -25, 77]
  Compare 59 and -25
  Swap 59 and -25
  List after swap: [41, 20, -61, 1, -25, 59, 77]

Pass 3:
  Compare 41 and 20
  Swap 41 and 20
  List after swap: [20, 41, -61, 1, -25, 59, 77]
  Compare 41 and -61
  Swap 41 and -61
  List after swap: [20, -61, 41, 1, -25, 59, 77]
  Compare 41 and 1
  Swap 41 and 1
  List after swap: [20, -61, 1, 41, -25, 59, 77]
  Compare 41 and -25
  Swap 41 and -25
  List after swap: [20, -61, 1, -25, 41, 59, 77]

Pass 4:
  Compare 20 and -61
  Swap 20 and -61
  List after swap: [-61, 20, 1, -25, 41, 59, 77]
  Compare 20 and 1
  Swap 20 and 1
  List after swap: [-61, 1, 20, -25, 41, 59, 77]
  Compare 20 and -25
  Swap 20 and -25
  List after swap: [-61, 1, -25, 20, 41, 59, 77]

Pass 5:
  Compare -61 and 1
  No swap needed
  Compare 1 and -25
  Swap 1 and -25
  List after swap: [-61, -25, 1, 20, 41, 59, 77]

Pass 6:
  Compare -61 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -25, 1, 20, 41, 59, 77]
</think>

<response>-61, -25, 1, 20, 41, 59, 77</response>


input: Carry out the bubble sort algorithm on -26, -48, -33, -45, -68, 2, 3 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-26, -48, -33, -45, -68, 2, 3]

Pass 1:
  Compare -26 and -48
  Swap -26 and -48
  List after swap: [-48, -26, -33, -45, -68, 2, 3]
  Compare -26 and -33
  Swap -26 and -33
  List after swap: [-48, -33, -26, -45, -68, 2, 3]
  Compare -26 and -45
  Swap -26 and -45
  List after swap: [-48, -33, -45, -26, -68, 2, 3]
  Compare -26 and -68
  Swap -26 and -68
  List after swap: [-48, -33, -45, -68, -26, 2, 3]
  Compare -26 and 2
  No swap needed
  Compare 2 and 3
  No swap needed

Pass 2:
  Compare -48 and -33
  No swap needed
  Compare -33 and -45
  Swap -33 and -45
  List after swap: [-48, -45, -33, -68, -26, 2, 3]
  Compare -33 and -68
  Swap -33 and -68
  List after swap: [-48, -45, -68, -33, -26, 2, 3]
  Compare -33 and -26
  No swap needed
  Compare -26 and 2
  No swap needed

Pass 3:
  Compare -48 and -45
  No swap needed
  Compare -45 and -68
  Swap -45 and -68
  List after swap: [-48, -68, -45, -33, -26, 2, 3]
  Compare -45 and -33
  No swap needed
  Compare -33 and -26
  No swap needed

Pass 4:
  Compare -48 and -68
  Swap -48 and -68
  List after swap: [-68, -48, -45, -33, -26, 2, 3]
  Compare -48 and -45
  No swap needed
  Compare -45 and -33
  No swap needed

Pass 5:
  Compare -68 and -48
  No swap needed
  Compare -48 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -48, -45, -33, -26, 2, 3]
</think>

<response>-68, -48, -45, -33, -26, 2, 3</response>


input: Execute bubble sort to sort -70, -86, 33, -7, 53, -19, -41, -68, -58 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-70, -86, 33, -7, 53, -19, -41, -68, -58]

Pass 1:
  Compare -70 and -86
  Swap -70 and -86
  List after swap: [-86, -70, 33, -7, 53, -19, -41, -68, -58]
  Compare -70 and 33
  No swap needed
  Compare 33 and -7
  Swap 33 and -7
  List after swap: [-86, -70, -7, 33, 53, -19, -41, -68, -58]
  Compare 33 and 53
  No swap needed
  Compare 53 and -19
  Swap 53 and -19
  List after swap: [-86, -70, -7, 33, -19, 53, -41, -68, -58]
  Compare 53 and -41
  Swap 53 and -41
  List after swap: [-86, -70, -7, 33, -19, -41, 53, -68, -58]
  Compare 53 and -68
  Swap 53 and -68
  List after swap: [-86, -70, -7, 33, -19, -41, -68, 53, -58]
  Compare 53 and -58
  Swap 53 and -58
  List after swap: [-86, -70, -7, 33, -19, -41, -68, -58, 53]

Pass 2:
  Compare -86 and -70
  No swap needed
  Compare -70 and -7
  No swap needed
  Compare -7 and 33
  No swap needed
  Compare 33 and -19
  Swap 33 and -19
  List after swap: [-86, -70, -7, -19, 33, -41, -68, -58, 53]
  Compare 33 and -41
  Swap 33 and -41
  List after swap: [-86, -70, -7, -19, -41, 33, -68, -58, 53]
  Compare 33 and -68
  Swap 33 and -68
  List after swap: [-86, -70, -7, -19, -41, -68, 33, -58, 53]
  Compare 33 and -58
  Swap 33 and -58
  List after swap: [-86, -70, -7, -19, -41, -68, -58, 33, 53]

Pass 3:
  Compare -86 and -70
  No swap needed
  Compare -70 and -7
  No swap needed
  Compare -7 and -19
  Swap -7 and -19
  List after swap: [-86, -70, -19, -7, -41, -68, -58, 33, 53]
  Compare -7 and -41
  Swap -7 and -41
  List after swap: [-86, -70, -19, -41, -7, -68, -58, 33, 53]
  Compare -7 and -68
  Swap -7 and -68
  List after swap: [-86, -70, -19, -41, -68, -7, -58, 33, 53]
  Compare -7 and -58
  Swap -7 and -58
  List after swap: [-86, -70, -19, -41, -68, -58, -7, 33, 53]

Pass 4:
  Compare -86 and -70
  No swap needed
  Compare -70 and -19
  No swap needed
  Compare -19 and -41
  Swap -19 and -41
  List after swap: [-86, -70, -41, -19, -68, -58, -7, 33, 53]
  Compare -19 and -68
  Swap -19 and -68
  List after swap: [-86, -70, -41, -68, -19, -58, -7, 33, 53]
  Compare -19 and -58
  Swap -19 and -58
  List after swap: [-86, -70, -41, -68, -58, -19, -7, 33, 53]

Pass 5:
  Compare -86 and -70
  No swap needed
  Compare -70 and -41
  No swap needed
  Compare -41 and -68
  Swap -41 and -68
  List after swap: [-86, -70, -68, -41, -58, -19, -7, 33, 53]
  Compare -41 and -58
  Swap -41 and -58
  List after swap: [-86, -70, -68, -58, -41, -19, -7, 33, 53]

Pass 6:
  Compare -86 and -70
  No swap needed
  Compare -70 and -68
  No swap needed
  Compare -68 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -70, -68, -58, -41, -19, -7, 33, 53]
</think>

<response>-86, -70, -68, -58, -41, -19, -7, 33, 53</response>


input: Demonstrate how bubble sort orders the integers 81, -62, -86, 97, 67, 58, -14, -94 in ascending sequence, showing all steps.

output:
<think>
Initial list: [81, -62, -86, 97, 67, 58, -14, -94]

Pass 1:
  Compare 81 and -62
  Swap 81 and -62
  List after swap: [-62, 81, -86, 97, 67, 58, -14, -94]
  Compare 81 and -86
  Swap 81 and -86
  List after swap: [-62, -86, 81, 97, 67, 58, -14, -94]
  Compare 81 and 97
  No swap needed
  Compare 97 and 67
  Swap 97 and 67
  List after swap: [-62, -86, 81, 67, 97, 58, -14, -94]
  Compare 97 and 58
  Swap 97 and 58
  List after swap: [-62, -86, 81, 67, 58, 97, -14, -94]
  Compare 97 and -14
  Swap 97 and -14
  List after swap: [-62, -86, 81, 67, 58, -14, 97, -94]
  Compare 97 and -94
  Swap 97 and -94
  List after swap: [-62, -86, 81, 67, 58, -14, -94, 97]

Pass 2:
  Compare -62 and -86
  Swap -62 and -86
  List after swap: [-86, -62, 81, 67, 58, -14, -94, 97]
  Compare -62 and 81
  No swap needed
  Compare 81 and 67
  Swap 81 and 67
  List after swap: [-86, -62, 67, 81, 58, -14, -94, 97]
  Compare 81 and 58
  Swap 81 and 58
  List after swap: [-86, -62, 67, 58, 81, -14, -94, 97]
  Compare 81 and -14
  Swap 81 and -14
  List after swap: [-86, -62, 67, 58, -14, 81, -94, 97]
  Compare 81 and -94
  Swap 81 and -94
  List after swap: [-86, -62, 67, 58, -14, -94, 81, 97]

Pass 3:
  Compare -86 and -62
  No swap needed
  Compare -62 and 67
  No swap needed
  Compare 67 and 58
  Swap 67 and 58
  List after swap: [-86, -62, 58, 67, -14, -94, 81, 97]
  Compare 67 and -14
  Swap 67 and -14
  List after swap: [-86, -62, 58, -14, 67, -94, 81, 97]
  Compare 67 and -94
  Swap 67 and -94
  List after swap: [-86, -62, 58, -14, -94, 67, 81, 97]

Pass 4:
  Compare -86 and -62
  No swap needed
  Compare -62 and 58
  No swap needed
  Compare 58 and -14
  Swap 58 and -14
  List after swap: [-86, -62, -14, 58, -94, 67, 81, 97]
  Compare 58 and -94
  Swap 58 and -94
  List after swap: [-86, -62, -14, -94, 58, 67, 81, 97]

Pass 5:
  Compare -86 and -62
  No swap needed
  Compare -62 and -14
  No swap needed
  Compare -14 and -94
  Swap -14 and -94
  List after swap: [-86, -62, -94, -14, 58, 67, 81, 97]

Pass 6:
  Compare -86 and -62
  No swap needed
  Compare -62 and -94
  Swap -62 and -94
  List after swap: [-86, -94, -62, -14, 58, 67, 81, 97]

Pass 7:
  Compare -86 and -94
  Swap -86 and -94
  List after swap: [-94, -86, -62, -14, 58, 67, 81, 97]

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

Final sorted list: [-94, -86, -62, -14, 58, 67, 81, 97]
</think>

<response>-94, -86, -62, -14, 58, 67, 81, 97</response>


input: Implement bubble sort on -84, 11, -4, -31 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-84, 11, -4, -31]

Pass 1:
  Compare -84 and 11
  No swap needed
  Compare 11 and -4
  Swap 11 and -4
  List after swap: [-84, -4, 11, -31]
  Compare 11 and -31
  Swap 11 and -31
  List after swap: [-84, -4, -31, 11]

Pass 2:
  Compare -84 and -4
  No swap needed
  Compare -4 and -31
  Swap -4 and -31
  List after swap: [-84, -31, -4, 11]

Pass 3:
  Compare -84 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -31, -4, 11]
</think>

<response>-84, -31, -4, 11</response>


input: Execute bubble sort to sort 42, -62, 14, -26, -70, -50, 93, -35, -39, 73 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [42, -62, 14, -26, -70, -50, 93, -35, -39, 73]

Pass 1:
  Compare 42 and -62
  Swap 42 and -62
  List after swap: [-62, 42, 14, -26, -70, -50, 93, -35, -39, 73]
  Compare 42 and 14
  Swap 42 and 14
  List after swap: [-62, 14, 42, -26, -70, -50, 93, -35, -39, 73]
  Compare 42 and -26
  Swap 42 and -26
  List after swap: [-62, 14, -26, 42, -70, -50, 93, -35, -39, 73]
  Compare 42 and -70
  Swap 42 and -70
  List after swap: [-62, 14, -26, -70, 42, -50, 93, -35, -39, 73]
  Compare 42 and -50
  Swap 42 and -50
  List after swap: [-62, 14, -26, -70, -50, 42, 93, -35, -39, 73]
  Compare 42 and 93
  No swap needed
  Compare 93 and -35
  Swap 93 and -35
  List after swap: [-62, 14, -26, -70, -50, 42, -35, 93, -39, 73]
  Compare 93 and -39
  Swap 93 and -39
  List after swap: [-62, 14, -26, -70, -50, 42, -35, -39, 93, 73]
  Compare 93 and 73
  Swap 93 and 73
  List after swap: [-62, 14, -26, -70, -50, 42, -35, -39, 73, 93]

Pass 2:
  Compare -62 and 14
  No swap needed
  Compare 14 and -26
  Swap 14 and -26
  List after swap: [-62, -26, 14, -70, -50, 42, -35, -39, 73, 93]
  Compare 14 and -70
  Swap 14 and -70
  List after swap: [-62, -26, -70, 14, -50, 42, -35, -39, 73, 93]
  Compare 14 and -50
  Swap 14 and -50
  List after swap: [-62, -26, -70, -50, 14, 42, -35, -39, 73, 93]
  Compare 14 and 42
  No swap needed
  Compare 42 and -35
  Swap 42 and -35
  List after swap: [-62, -26, -70, -50, 14, -35, 42, -39, 73, 93]
  Compare 42 and -39
  Swap 42 and -39
  List after swap: [-62, -26, -70, -50, 14, -35, -39, 42, 73, 93]
  Compare 42 and 73
  No swap needed

Pass 3:
  Compare -62 and -26
  No swap needed
  Compare -26 and -70
  Swap -26 and -70
  List after swap: [-62, -70, -26, -50, 14, -35, -39, 42, 73, 93]
  Compare -26 and -50
  Swap -26 and -50
  List after swap: [-62, -70, -50, -26, 14, -35, -39, 42, 73, 93]
  Compare -26 and 14
  No swap needed
  Compare 14 and -35
  Swap 14 and -35
  List after swap: [-62, -70, -50, -26, -35, 14, -39, 42, 73, 93]
  Compare 14 and -39
  Swap 14 and -39
  List after swap: [-62, -70, -50, -26, -35, -39, 14, 42, 73, 93]
  Compare 14 and 42
  No swap needed

Pass 4:
  Compare -62 and -70
  Swap -62 and -70
  List after swap: [-70, -62, -50, -26, -35, -39, 14, 42, 73, 93]
  Compare -62 and -50
  No swap needed
  Compare -50 and -26
  No swap needed
  Compare -26 and -35
  Swap -26 and -35
  List after swap: [-70, -62, -50, -35, -26, -39, 14, 42, 73, 93]
  Compare -26 and -39
  Swap -26 and -39
  List after swap: [-70, -62, -50, -35, -39, -26, 14, 42, 73, 93]
  Compare -26 and 14
  No swap needed

Pass 5:
  Compare -70 and -62
  No swap needed
  Compare -62 and -50
  No swap needed
  Compare -50 and -35
  No swap needed
  Compare -35 and -39
  Swap -35 and -39
  List after swap: [-70, -62, -50, -39, -35, -26, 14, 42, 73, 93]
  Compare -35 and -26
  No swap needed

Pass 6:
  Compare -70 and -62
  No swap needed
  Compare -62 and -50
  No swap needed
  Compare -50 and -39
  No swap needed
  Compare -39 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -62, -50, -39, -35, -26, 14, 42, 73, 93]
</think>

<response>-70, -62, -50, -39, -35, -26, 14, 42, 73, 93</response>


input: Execute bubble sort to sort -74, 68, 78, -32, 42, -99, -41, 16, -6, 56 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-74, 68, 78, -32, 42, -99, -41, 16, -6, 56]

Pass 1:
  Compare -74 and 68
  No swap needed
  Compare 68 and 78
  No swap needed
  Compare 78 and -32
  Swap 78 and -32
  List after swap: [-74, 68, -32, 78, 42, -99, -41, 16, -6, 56]
  Compare 78 and 42
  Swap 78 and 42
  List after swap: [-74, 68, -32, 42, 78, -99, -41, 16, -6, 56]
  Compare 78 and -99
  Swap 78 and -99
  List after swap: [-74, 68, -32, 42, -99, 78, -41, 16, -6, 56]
  Compare 78 and -41
  Swap 78 and -41
  List after swap: [-74, 68, -32, 42, -99, -41, 78, 16, -6, 56]
  Compare 78 and 16
  Swap 78 and 16
  List after swap: [-74, 68, -32, 42, -99, -41, 16, 78, -6, 56]
  Compare 78 and -6
  Swap 78 and -6
  List after swap: [-74, 68, -32, 42, -99, -41, 16, -6, 78, 56]
  Compare 78 and 56
  Swap 78 and 56
  List after swap: [-74, 68, -32, 42, -99, -41, 16, -6, 56, 78]

Pass 2:
  Compare -74 and 68
  No swap needed
  Compare 68 and -32
  Swap 68 and -32
  List after swap: [-74, -32, 68, 42, -99, -41, 16, -6, 56, 78]
  Compare 68 and 42
  Swap 68 and 42
  List after swap: [-74, -32, 42, 68, -99, -41, 16, -6, 56, 78]
  Compare 68 and -99
  Swap 68 and -99
  List after swap: [-74, -32, 42, -99, 68, -41, 16, -6, 56, 78]
  Compare 68 and -41
  Swap 68 and -41
  List after swap: [-74, -32, 42, -99, -41, 68, 16, -6, 56, 78]
  Compare 68 and 16
  Swap 68 and 16
  List after swap: [-74, -32, 42, -99, -41, 16, 68, -6, 56, 78]
  Compare 68 and -6
  Swap 68 and -6
  List after swap: [-74, -32, 42, -99, -41, 16, -6, 68, 56, 78]
  Compare 68 and 56
  Swap 68 and 56
  List after swap: [-74, -32, 42, -99, -41, 16, -6, 56, 68, 78]

Pass 3:
  Compare -74 and -32
  No swap needed
  Compare -32 and 42
  No swap needed
  Compare 42 and -99
  Swap 42 and -99
  List after swap: [-74, -32, -99, 42, -41, 16, -6, 56, 68, 78]
  Compare 42 and -41
  Swap 42 and -41
  List after swap: [-74, -32, -99, -41, 42, 16, -6, 56, 68, 78]
  Compare 42 and 16
  Swap 42 and 16
  List after swap: [-74, -32, -99, -41, 16, 42, -6, 56, 68, 78]
  Compare 42 and -6
  Swap 42 and -6
  List after swap: [-74, -32, -99, -41, 16, -6, 42, 56, 68, 78]
  Compare 42 and 56
  No swap needed

Pass 4:
  Compare -74 and -32
  No swap needed
  Compare -32 and -99
  Swap -32 and -99
  List after swap: [-74, -99, -32, -41, 16, -6, 42, 56, 68, 78]
  Compare -32 and -41
  Swap -32 and -41
  List after swap: [-74, -99, -41, -32, 16, -6, 42, 56, 68, 78]
  Compare -32 and 16
  No swap needed
  Compare 16 and -6
  Swap 16 and -6
  List after swap: [-74, -99, -41, -32, -6, 16, 42, 56, 68, 78]
  Compare 16 and 42
  No swap needed

Pass 5:
  Compare -74 and -99
  Swap -74 and -99
  List after swap: [-99, -74, -41, -32, -6, 16, 42, 56, 68, 78]
  Compare -74 and -41
  No swap needed
  Compare -41 and -32
  No swap needed
  Compare -32 and -6
  No swap needed
  Compare -6 and 16
  No swap needed

Pass 6:
  Compare -99 and -74
  No swap needed
  Compare -74 and -41
  No swap needed
  Compare -41 and -32
  No swap needed
  Compare -32 and -6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -74, -41, -32, -6, 16, 42, 56, 68, 78]
</think>

<response>-99, -74, -41, -32, -6, 16, 42, 56, 68, 78</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -52, -35.

output:
<think>
Initial list: [-52, -35]

Pass 1:
  Compare -52 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, -35]
</think>

<response>-52, -35</response>


input: Sort these integers 82, -53, 78, -97, 23, 86, 34, -51, -72, -61 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [82, -53, 78, -97, 23, 86, 34, -51, -72, -61]

Pass 1:
  Compare 82 and -53
  Swap 82 and -53
  List after swap: [-53, 82, 78, -97, 23, 86, 34, -51, -72, -61]
  Compare 82 and 78
  Swap 82 and 78
  List after swap: [-53, 78, 82, -97, 23, 86, 34, -51, -72, -61]
  Compare 82 and -97
  Swap 82 and -97
  List after swap: [-53, 78, -97, 82, 23, 86, 34, -51, -72, -61]
  Compare 82 and 23
  Swap 82 and 23
  List after swap: [-53, 78, -97, 23, 82, 86, 34, -51, -72, -61]
  Compare 82 and 86
  No swap needed
  Compare 86 and 34
  Swap 86 and 34
  List after swap: [-53, 78, -97, 23, 82, 34, 86, -51, -72, -61]
  Compare 86 and -51
  Swap 86 and -51
  List after swap: [-53, 78, -97, 23, 82, 34, -51, 86, -72, -61]
  Compare 86 and -72
  Swap 86 and -72
  List after swap: [-53, 78, -97, 23, 82, 34, -51, -72, 86, -61]
  Compare 86 and -61
  Swap 86 and -61
  List after swap: [-53, 78, -97, 23, 82, 34, -51, -72, -61, 86]

Pass 2:
  Compare -53 and 78
  No swap needed
  Compare 78 and -97
  Swap 78 and -97
  List after swap: [-53, -97, 78, 23, 82, 34, -51, -72, -61, 86]
  Compare 78 and 23
  Swap 78 and 23
  List after swap: [-53, -97, 23, 78, 82, 34, -51, -72, -61, 86]
  Compare 78 and 82
  No swap needed
  Compare 82 and 34
  Swap 82 and 34
  List after swap: [-53, -97, 23, 78, 34, 82, -51, -72, -61, 86]
  Compare 82 and -51
  Swap 82 and -51
  List after swap: [-53, -97, 23, 78, 34, -51, 82, -72, -61, 86]
  Compare 82 and -72
  Swap 82 and -72
  List after swap: [-53, -97, 23, 78, 34, -51, -72, 82, -61, 86]
  Compare 82 and -61
  Swap 82 and -61
  List after swap: [-53, -97, 23, 78, 34, -51, -72, -61, 82, 86]

Pass 3:
  Compare -53 and -97
  Swap -53 and -97
  List after swap: [-97, -53, 23, 78, 34, -51, -72, -61, 82, 86]
  Compare -53 and 23
  No swap needed
  Compare 23 and 78
  No swap needed
  Compare 78 and 34
  Swap 78 and 34
  List after swap: [-97, -53, 23, 34, 78, -51, -72, -61, 82, 86]
  Compare 78 and -51
  Swap 78 and -51
  List after swap: [-97, -53, 23, 34, -51, 78, -72, -61, 82, 86]
  Compare 78 and -72
  Swap 78 and -72
  List after swap: [-97, -53, 23, 34, -51, -72, 78, -61, 82, 86]
  Compare 78 and -61
  Swap 78 and -61
  List after swap: [-97, -53, 23, 34, -51, -72, -61, 78, 82, 86]

Pass 4:
  Compare -97 and -53
  No swap needed
  Compare -53 and 23
  No swap needed
  Compare 23 and 34
  No swap needed
  Compare 34 and -51
  Swap 34 and -51
  List after swap: [-97, -53, 23, -51, 34, -72, -61, 78, 82, 86]
  Compare 34 and -72
  Swap 34 and -72
  List after swap: [-97, -53, 23, -51, -72, 34, -61, 78, 82, 86]
  Compare 34 and -61
  Swap 34 and -61
  List after swap: [-97, -53, 23, -51, -72, -61, 34, 78, 82, 86]

Pass 5:
  Compare -97 and -53
  No swap needed
  Compare -53 and 23
  No swap needed
  Compare 23 and -51
  Swap 23 and -51
  List after swap: [-97, -53, -51, 23, -72, -61, 34, 78, 82, 86]
  Compare 23 and -72
  Swap 23 and -72
  List after swap: [-97, -53, -51, -72, 23, -61, 34, 78, 82, 86]
  Compare 23 and -61
  Swap 23 and -61
  List after swap: [-97, -53, -51, -72, -61, 23, 34, 78, 82, 86]

Pass 6:
  Compare -97 and -53
  No swap needed
  Compare -53 and -51
  No swap needed
  Compare -51 and -72
  Swap -51 and -72
  List after swap: [-97, -53, -72, -51, -61, 23, 34, 78, 82, 86]
  Compare -51 and -61
  Swap -51 and -61
  List after swap: [-97, -53, -72, -61, -51, 23, 34, 78, 82, 86]

Pass 7:
  Compare -97 and -53
  No swap needed
  Compare -53 and -72
  Swap -53 and -72
  List after swap: [-97, -72, -53, -61, -51, 23, 34, 78, 82, 86]
  Compare -53 and -61
  Swap -53 and -61
  List after swap: [-97, -72, -61, -53, -51, 23, 34, 78, 82, 86]

Pass 8:
  Compare -97 and -72
  No swap needed
  Compare -72 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -72, -61, -53, -51, 23, 34, 78, 82, 86]
</think>

<response>-97, -72, -61, -53, -51, 23, 34, 78, 82, 86</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -1, 97, -28, -66, 94, 74.

output:
<think>
Initial list: [-1, 97, -28, -66, 94, 74]

Pass 1:
  Compare -1 and 97
  No swap needed
  Compare 97 and -28
  Swap 97 and -28
  List after swap: [-1, -28, 97, -66, 94, 74]
  Compare 97 and -66
  Swap 97 and -66
  List after swap: [-1, -28, -66, 97, 94, 74]
  Compare 97 and 94
  Swap 97 and 94
  List after swap: [-1, -28, -66, 94, 97, 74]
  Compare 97 and 74
  Swap 97 and 74
  List after swap: [-1, -28, -66, 94, 74, 97]

Pass 2:
  Compare -1 and -28
  Swap -1 and -28
  List after swap: [-28, -1, -66, 94, 74, 97]
  Compare -1 and -66
  Swap -1 and -66
  List after swap: [-28, -66, -1, 94, 74, 97]
  Compare -1 and 94
  No swap needed
  Compare 94 and 74
  Swap 94 and 74
  List after swap: [-28, -66, -1, 74, 94, 97]

Pass 3:
  Compare -28 and -66
  Swap -28 and -66
  List after swap: [-66, -28, -1, 74, 94, 97]
  Compare -28 and -1
  No swap needed
  Compare -1 and 74
  No swap needed

Pass 4:
  Compare -66 and -28
  No swap needed
  Compare -28 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -28, -1, 74, 94, 97]
</think>

<response>-66, -28, -1, 74, 94, 97</response>


input: Arrange the numbers 17, -99, -98, 81, 47, 92 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [17, -99, -98, 81, 47, 92]

Pass 1:
  Compare 17 and -99
  Swap 17 and -99
  List after swap: [-99, 17, -98, 81, 47, 92]
  Compare 17 and -98
  Swap 17 and -98
  List after swap: [-99, -98, 17, 81, 47, 92]
  Compare 17 and 81
  No swap needed
  Compare 81 and 47
  Swap 81 and 47
  List after swap: [-99, -98, 17, 47, 81, 92]
  Compare 81 and 92
  No swap needed

Pass 2:
  Compare -99 and -98
  No swap needed
  Compare -98 and 17
  No swap needed
  Compare 17 and 47
  No swap needed
  Compare 47 and 81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -98, 17, 47, 81, 92]
</think>

<response>-99, -98, 17, 47, 81, 92</response>


input: Sort these integers 70, 0 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [70, 0]

Pass 1:
  Compare 70 and 0
  Swap 70 and 0
  List after swap: [0, 70]

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

Final sorted list: [0, 70]
</think>

<response>0, 70</response>


input: Implement bubble sort on -38, 84, -100 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-38, 84, -100]

Pass 1:
  Compare -38 and 84
  No swap needed
  Compare 84 and -100
  Swap 84 and -100
  List after swap: [-38, -100, 84]

Pass 2:
  Compare -38 and -100
  Swap -38 and -100
  List after swap: [-100, -38, 84]

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

Final sorted list: [-100, -38, 84]
</think>

<response>-100, -38, 84</response>


input: Using the bubble sort method, sort 11, -65, 38, 15, -29, -31, -46, -73, -28, -51 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [11, -65, 38, 15, -29, -31, -46, -73, -28, -51]

Pass 1:
  Compare 11 and -65
  Swap 11 and -65
  List after swap: [-65, 11, 38, 15, -29, -31, -46, -73, -28, -51]
  Compare 11 and 38
  No swap needed
  Compare 38 and 15
  Swap 38 and 15
  List after swap: [-65, 11, 15, 38, -29, -31, -46, -73, -28, -51]
  Compare 38 and -29
  Swap 38 and -29
  List after swap: [-65, 11, 15, -29, 38, -31, -46, -73, -28, -51]
  Compare 38 and -31
  Swap 38 and -31
  List after swap: [-65, 11, 15, -29, -31, 38, -46, -73, -28, -51]
  Compare 38 and -46
  Swap 38 and -46
  List after swap: [-65, 11, 15, -29, -31, -46, 38, -73, -28, -51]
  Compare 38 and -73
  Swap 38 and -73
  List after swap: [-65, 11, 15, -29, -31, -46, -73, 38, -28, -51]
  Compare 38 and -28
  Swap 38 and -28
  List after swap: [-65, 11, 15, -29, -31, -46, -73, -28, 38, -51]
  Compare 38 and -51
  Swap 38 and -51
  List after swap: [-65, 11, 15, -29, -31, -46, -73, -28, -51, 38]

Pass 2:
  Compare -65 and 11
  No swap needed
  Compare 11 and 15
  No swap needed
  Compare 15 and -29
  Swap 15 and -29
  List after swap: [-65, 11, -29, 15, -31, -46, -73, -28, -51, 38]
  Compare 15 and -31
  Swap 15 and -31
  List after swap: [-65, 11, -29, -31, 15, -46, -73, -28, -51, 38]
  Compare 15 and -46
  Swap 15 and -46
  List after swap: [-65, 11, -29, -31, -46, 15, -73, -28, -51, 38]
  Compare 15 and -73
  Swap 15 and -73
  List after swap: [-65, 11, -29, -31, -46, -73, 15, -28, -51, 38]
  Compare 15 and -28
  Swap 15 and -28
  List after swap: [-65, 11, -29, -31, -46, -73, -28, 15, -51, 38]
  Compare 15 and -51
  Swap 15 and -51
  List after swap: [-65, 11, -29, -31, -46, -73, -28, -51, 15, 38]

Pass 3:
  Compare -65 and 11
  No swap needed
  Compare 11 and -29
  Swap 11 and -29
  List after swap: [-65, -29, 11, -31, -46, -73, -28, -51, 15, 38]
  Compare 11 and -31
  Swap 11 and -31
  List after swap: [-65, -29, -31, 11, -46, -73, -28, -51, 15, 38]
  Compare 11 and -46
  Swap 11 and -46
  List after swap: [-65, -29, -31, -46, 11, -73, -28, -51, 15, 38]
  Compare 11 and -73
  Swap 11 and -73
  List after swap: [-65, -29, -31, -46, -73, 11, -28, -51, 15, 38]
  Compare 11 and -28
  Swap 11 and -28
  List after swap: [-65, -29, -31, -46, -73, -28, 11, -51, 15, 38]
  Compare 11 and -51
  Swap 11 and -51
  List after swap: [-65, -29, -31, -46, -73, -28, -51, 11, 15, 38]

Pass 4:
  Compare -65 and -29
  No swap needed
  Compare -29 and -31
  Swap -29 and -31
  List after swap: [-65, -31, -29, -46, -73, -28, -51, 11, 15, 38]
  Compare -29 and -46
  Swap -29 and -46
  List after swap: [-65, -31, -46, -29, -73, -28, -51, 11, 15, 38]
  Compare -29 and -73
  Swap -29 and -73
  List after swap: [-65, -31, -46, -73, -29, -28, -51, 11, 15, 38]
  Compare -29 and -28
  No swap needed
  Compare -28 and -51
  Swap -28 and -51
  List after swap: [-65, -31, -46, -73, -29, -51, -28, 11, 15, 38]

Pass 5:
  Compare -65 and -31
  No swap needed
  Compare -31 and -46
  Swap -31 and -46
  List after swap: [-65, -46, -31, -73, -29, -51, -28, 11, 15, 38]
  Compare -31 and -73
  Swap -31 and -73
  List after swap: [-65, -46, -73, -31, -29, -51, -28, 11, 15, 38]
  Compare -31 and -29
  No swap needed
  Compare -29 and -51
  Swap -29 and -51
  List after swap: [-65, -46, -73, -31, -51, -29, -28, 11, 15, 38]

Pass 6:
  Compare -65 and -46
  No swap needed
  Compare -46 and -73
  Swap -46 and -73
  List after swap: [-65, -73, -46, -31, -51, -29, -28, 11, 15, 38]
  Compare -46 and -31
  No swap needed
  Compare -31 and -51
  Swap -31 and -51
  List after swap: [-65, -73, -46, -51, -31, -29, -28, 11, 15, 38]

Pass 7:
  Compare -65 and -73
  Swap -65 and -73
  List after swap: [-73, -65, -46, -51, -31, -29, -28, 11, 15, 38]
  Compare -65 and -46
  No swap needed
  Compare -46 and -51
  Swap -46 and -51
  List after swap: [-73, -65, -51, -46, -31, -29, -28, 11, 15, 38]

Pass 8:
  Compare -73 and -65
  No swap needed
  Compare -65 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -65, -51, -46, -31, -29, -28, 11, 15, 38]
</think>

<response>-73, -65, -51, -46, -31, -29, -28, 11, 15, 38</response>


input: Implement bubble sort on -49, 45, 74, -90, 99, -3, -18, -63, -84, -24 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-49, 45, 74, -90, 99, -3, -18, -63, -84, -24]

Pass 1:
  Compare -49 and 45
  No swap needed
  Compare 45 and 74
  No swap needed
  Compare 74 and -90
  Swap 74 and -90
  List after swap: [-49, 45, -90, 74, 99, -3, -18, -63, -84, -24]
  Compare 74 and 99
  No swap needed
  Compare 99 and -3
  Swap 99 and -3
  List after swap: [-49, 45, -90, 74, -3, 99, -18, -63, -84, -24]
  Compare 99 and -18
  Swap 99 and -18
  List after swap: [-49, 45, -90, 74, -3, -18, 99, -63, -84, -24]
  Compare 99 and -63
  Swap 99 and -63
  List after swap: [-49, 45, -90, 74, -3, -18, -63, 99, -84, -24]
  Compare 99 and -84
  Swap 99 and -84
  List after swap: [-49, 45, -90, 74, -3, -18, -63, -84, 99, -24]
  Compare 99 and -24
  Swap 99 and -24
  List after swap: [-49, 45, -90, 74, -3, -18, -63, -84, -24, 99]

Pass 2:
  Compare -49 and 45
  No swap needed
  Compare 45 and -90
  Swap 45 and -90
  List after swap: [-49, -90, 45, 74, -3, -18, -63, -84, -24, 99]
  Compare 45 and 74
  No swap needed
  Compare 74 and -3
  Swap 74 and -3
  List after swap: [-49, -90, 45, -3, 74, -18, -63, -84, -24, 99]
  Compare 74 and -18
  Swap 74 and -18
  List after swap: [-49, -90, 45, -3, -18, 74, -63, -84, -24, 99]
  Compare 74 and -63
  Swap 74 and -63
  List after swap: [-49, -90, 45, -3, -18, -63, 74, -84, -24, 99]
  Compare 74 and -84
  Swap 74 and -84
  List after swap: [-49, -90, 45, -3, -18, -63, -84, 74, -24, 99]
  Compare 74 and -24
  Swap 74 and -24
  List after swap: [-49, -90, 45, -3, -18, -63, -84, -24, 74, 99]

Pass 3:
  Compare -49 and -90
  Swap -49 and -90
  List after swap: [-90, -49, 45, -3, -18, -63, -84, -24, 74, 99]
  Compare -49 and 45
  No swap needed
  Compare 45 and -3
  Swap 45 and -3
  List after swap: [-90, -49, -3, 45, -18, -63, -84, -24, 74, 99]
  Compare 45 and -18
  Swap 45 and -18
  List after swap: [-90, -49, -3, -18, 45, -63, -84, -24, 74, 99]
  Compare 45 and -63
  Swap 45 and -63
  List after swap: [-90, -49, -3, -18, -63, 45, -84, -24, 74, 99]
  Compare 45 and -84
  Swap 45 and -84
  List after swap: [-90, -49, -3, -18, -63, -84, 45, -24, 74, 99]
  Compare 45 and -24
  Swap 45 and -24
  List after swap: [-90, -49, -3, -18, -63, -84, -24, 45, 74, 99]

Pass 4:
  Compare -90 and -49
  No swap needed
  Compare -49 and -3
  No swap needed
  Compare -3 and -18
  Swap -3 and -18
  List after swap: [-90, -49, -18, -3, -63, -84, -24, 45, 74, 99]
  Compare -3 and -63
  Swap -3 and -63
  List after swap: [-90, -49, -18, -63, -3, -84, -24, 45, 74, 99]
  Compare -3 and -84
  Swap -3 and -84
  List after swap: [-90, -49, -18, -63, -84, -3, -24, 45, 74, 99]
  Compare -3 and -24
  Swap -3 and -24
  List after swap: [-90, -49, -18, -63, -84, -24, -3, 45, 74, 99]

Pass 5:
  Compare -90 and -49
  No swap needed
  Compare -49 and -18
  No swap needed
  Compare -18 and -63
  Swap -18 and -63
  List after swap: [-90, -49, -63, -18, -84, -24, -3, 45, 74, 99]
  Compare -18 and -84
  Swap -18 and -84
  List after swap: [-90, -49, -63, -84, -18, -24, -3, 45, 74, 99]
  Compare -18 and -24
  Swap -18 and -24
  List after swap: [-90, -49, -63, -84, -24, -18, -3, 45, 74, 99]

Pass 6:
  Compare -90 and -49
  No swap needed
  Compare -49 and -63
  Swap -49 and -63
  List after swap: [-90, -63, -49, -84, -24, -18, -3, 45, 74, 99]
  Compare -49 and -84
  Swap -49 and -84
  List after swap: [-90, -63, -84, -49, -24, -18, -3, 45, 74, 99]
  Compare -49 and -24
  No swap needed

Pass 7:
  Compare -90 and -63
  No swap needed
  Compare -63 and -84
  Swap -63 and -84
  List after swap: [-90, -84, -63, -49, -24, -18, -3, 45, 74, 99]
  Compare -63 and -49
  No swap needed

Pass 8:
  Compare -90 and -84
  No swap needed
  Compare -84 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -84, -63, -49, -24, -18, -3, 45, 74, 99]
</think>

<response>-90, -84, -63, -49, -24, -18, -3, 45, 74, 99</response>


input: Carry out the bubble sort algorithm on -36, 58, -31, -1, -15 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-36, 58, -31, -1, -15]

Pass 1:
  Compare -36 and 58
  No swap needed
  Compare 58 and -31
  Swap 58 and -31
  List after swap: [-36, -31, 58, -1, -15]
  Compare 58 and -1
  Swap 58 and -1
  List after swap: [-36, -31, -1, 58, -15]
  Compare 58 and -15
  Swap 58 and -15
  List after swap: [-36, -31, -1, -15, 58]

Pass 2:
  Compare -36 and -31
  No swap needed
  Compare -31 and -1
  No swap needed
  Compare -1 and -15
  Swap -1 and -15
  List after swap: [-36, -31, -15, -1, 58]

Pass 3:
  Compare -36 and -31
  No swap needed
  Compare -31 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-36, -31, -15, -1, 58]
</think>

<response>-36, -31, -15, -1, 58</response>


input: Sort the list -43, -32, -51, -62, 81, 79, -11, -40 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-43, -32, -51, -62, 81, 79, -11, -40]

Pass 1:
  Compare -43 and -32
  No swap needed
  Compare -32 and -51
  Swap -32 and -51
  List after swap: [-43, -51, -32, -62, 81, 79, -11, -40]
  Compare -32 and -62
  Swap -32 and -62
  List after swap: [-43, -51, -62, -32, 81, 79, -11, -40]
  Compare -32 and 81
  No swap needed
  Compare 81 and 79
  Swap 81 and 79
  List after swap: [-43, -51, -62, -32, 79, 81, -11, -40]
  Compare 81 and -11
  Swap 81 and -11
  List after swap: [-43, -51, -62, -32, 79, -11, 81, -40]
  Compare 81 and -40
  Swap 81 and -40
  List after swap: [-43, -51, -62, -32, 79, -11, -40, 81]

Pass 2:
  Compare -43 and -51
  Swap -43 and -51
  List after swap: [-51, -43, -62, -32, 79, -11, -40, 81]
  Compare -43 and -62
  Swap -43 and -62
  List after swap: [-51, -62, -43, -32, 79, -11, -40, 81]
  Compare -43 and -32
  No swap needed
  Compare -32 and 79
  No swap needed
  Compare 79 and -11
  Swap 79 and -11
  List after swap: [-51, -62, -43, -32, -11, 79, -40, 81]
  Compare 79 and -40
  Swap 79 and -40
  List after swap: [-51, -62, -43, -32, -11, -40, 79, 81]

Pass 3:
  Compare -51 and -62
  Swap -51 and -62
  List after swap: [-62, -51, -43, -32, -11, -40, 79, 81]
  Compare -51 and -43
  No swap needed
  Compare -43 and -32
  No swap needed
  Compare -32 and -11
  No swap needed
  Compare -11 and -40
  Swap -11 and -40
  List after swap: [-62, -51, -43, -32, -40, -11, 79, 81]

Pass 4:
  Compare -62 and -51
  No swap needed
  Compare -51 and -43
  No swap needed
  Compare -43 and -32
  No swap needed
  Compare -32 and -40
  Swap -32 and -40
  List after swap: [-62, -51, -43, -40, -32, -11, 79, 81]

Pass 5:
  Compare -62 and -51
  No swap needed
  Compare -51 and -43
  No swap needed
  Compare -43 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -51, -43, -40, -32, -11, 79, 81]
</think>

<response>-62, -51, -43, -40, -32, -11, 79, 81</response>


input: Sort these integers 59, 45 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [59, 45]

Pass 1:
  Compare 59 and 45
  Swap 59 and 45
  List after swap: [45, 59]

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

Final sorted list: [45, 59]
</think>

<response>45, 59</response>


input: Carry out the bubble sort algorithm on -64, -73, 12, -69, 47, 80 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-64, -73, 12, -69, 47, 80]

Pass 1:
  Compare -64 and -73
  Swap -64 and -73
  List after swap: [-73, -64, 12, -69, 47, 80]
  Compare -64 and 12
  No swap needed
  Compare 12 and -69
  Swap 12 and -69
  List after swap: [-73, -64, -69, 12, 47, 80]
  Compare 12 and 47
  No swap needed
  Compare 47 and 80
  No swap needed

Pass 2:
  Compare -73 and -64
  No swap needed
  Compare -64 and -69
  Swap -64 and -69
  List after swap: [-73, -69, -64, 12, 47, 80]
  Compare -64 and 12
  No swap needed
  Compare 12 and 47
  No swap needed

Pass 3:
  Compare -73 and -69
  No swap needed
  Compare -69 and -64
  No swap needed
  Compare -64 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -69, -64, 12, 47, 80]
</think>

<response>-73, -69, -64, 12, 47, 80</response>


input: Execute bubble sort to sort -61, -86, 27, 35, 21, -98 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-61, -86, 27, 35, 21, -98]

Pass 1:
  Compare -61 and -86
  Swap -61 and -86
  List after swap: [-86, -61, 27, 35, 21, -98]
  Compare -61 and 27
  No swap needed
  Compare 27 and 35
  No swap needed
  Compare 35 and 21
  Swap 35 and 21
  List after swap: [-86, -61, 27, 21, 35, -98]
  Compare 35 and -98
  Swap 35 and -98
  List after swap: [-86, -61, 27, 21, -98, 35]

Pass 2:
  Compare -86 and -61
  No swap needed
  Compare -61 and 27
  No swap needed
  Compare 27 and 21
  Swap 27 and 21
  List after swap: [-86, -61, 21, 27, -98, 35]
  Compare 27 and -98
  Swap 27 and -98
  List after swap: [-86, -61, 21, -98, 27, 35]

Pass 3:
  Compare -86 and -61
  No swap needed
  Compare -61 and 21
  No swap needed
  Compare 21 and -98
  Swap 21 and -98
  List after swap: [-86, -61, -98, 21, 27, 35]

Pass 4:
  Compare -86 and -61
  No swap needed
  Compare -61 and -98
  Swap -61 and -98
  List after swap: [-86, -98, -61, 21, 27, 35]

Pass 5:
  Compare -86 and -98
  Swap -86 and -98
  List after swap: [-98, -86, -61, 21, 27, 35]

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

Final sorted list: [-98, -86, -61, 21, 27, 35]
</think>

<response>-98, -86, -61, 21, 27, 35</response>


input: Perform a bubble sort on the integers -52, -19, 21, 27, -32, -84, 0, 11, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-52, -19, 21, 27, -32, -84, 0, 11]

Pass 1:
  Compare -52 and -19
  No swap needed
  Compare -19 and 21
  No swap needed
  Compare 21 and 27
  No swap needed
  Compare 27 and -32
  Swap 27 and -32
  List after swap: [-52, -19, 21, -32, 27, -84, 0, 11]
  Compare 27 and -84
  Swap 27 and -84
  List after swap: [-52, -19, 21, -32, -84, 27, 0, 11]
  Compare 27 and 0
  Swap 27 and 0
  List after swap: [-52, -19, 21, -32, -84, 0, 27, 11]
  Compare 27 and 11
  Swap 27 and 11
  List after swap: [-52, -19, 21, -32, -84, 0, 11, 27]

Pass 2:
  Compare -52 and -19
  No swap needed
  Compare -19 and 21
  No swap needed
  Compare 21 and -32
  Swap 21 and -32
  List after swap: [-52, -19, -32, 21, -84, 0, 11, 27]
  Compare 21 and -84
  Swap 21 and -84
  List after swap: [-52, -19, -32, -84, 21, 0, 11, 27]
  Compare 21 and 0
  Swap 21 and 0
  List after swap: [-52, -19, -32, -84, 0, 21, 11, 27]
  Compare 21 and 11
  Swap 21 and 11
  List after swap: [-52, -19, -32, -84, 0, 11, 21, 27]

Pass 3:
  Compare -52 and -19
  No swap needed
  Compare -19 and -32
  Swap -19 and -32
  List after swap: [-52, -32, -19, -84, 0, 11, 21, 27]
  Compare -19 and -84
  Swap -19 and -84
  List after swap: [-52, -32, -84, -19, 0, 11, 21, 27]
  Compare -19 and 0
  No swap needed
  Compare 0 and 11
  No swap needed

Pass 4:
  Compare -52 and -32
  No swap needed
  Compare -32 and -84
  Swap -32 and -84
  List after swap: [-52, -84, -32, -19, 0, 11, 21, 27]
  Compare -32 and -19
  No swap needed
  Compare -19 and 0
  No swap needed

Pass 5:
  Compare -52 and -84
  Swap -52 and -84
  List after swap: [-84, -52, -32, -19, 0, 11, 21, 27]
  Compare -52 and -32
  No swap needed
  Compare -32 and -19
  No swap needed

Pass 6:
  Compare -84 and -52
  No swap needed
  Compare -52 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -52, -32, -19, 0, 11, 21, 27]
</think>

<response>-84, -52, -32, -19, 0, 11, 21, 27</response>


input: Carry out the bubble sort algorithm on 45, 31, 54, -62, 85 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [45, 31, 54, -62, 85]

Pass 1:
  Compare 45 and 31
  Swap 45 and 31
  List after swap: [31, 45, 54, -62, 85]
  Compare 45 and 54
  No swap needed
  Compare 54 and -62
  Swap 54 and -62
  List after swap: [31, 45, -62, 54, 85]
  Compare 54 and 85
  No swap needed

Pass 2:
  Compare 31 and 45
  No swap needed
  Compare 45 and -62
  Swap 45 and -62
  List after swap: [31, -62, 45, 54, 85]
  Compare 45 and 54
  No swap needed

Pass 3:
  Compare 31 and -62
  Swap 31 and -62
  List after swap: [-62, 31, 45, 54, 85]
  Compare 31 and 45
  No swap needed

Pass 4:
  Compare -62 and 31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, 31, 45, 54, 85]
</think>

<response>-62, 31, 45, 54, 85</response>


input: Execute bubble sort to sort 83, 41 in increasing order and detail each phase of the sorting process.

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

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

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

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

<response>41, 83</response>


input: Demonstrate how bubble sort orders the integers 70, -56, -57, 16, -90, -35, 13, 95, 50, 99 in ascending sequence, showing all steps.

output:
<think>
Initial list: [70, -56, -57, 16, -90, -35, 13, 95, 50, 99]

Pass 1:
  Compare 70 and -56
  Swap 70 and -56
  List after swap: [-56, 70, -57, 16, -90, -35, 13, 95, 50, 99]
  Compare 70 and -57
  Swap 70 and -57
  List after swap: [-56, -57, 70, 16, -90, -35, 13, 95, 50, 99]
  Compare 70 and 16
  Swap 70 and 16
  List after swap: [-56, -57, 16, 70, -90, -35, 13, 95, 50, 99]
  Compare 70 and -90
  Swap 70 and -90
  List after swap: [-56, -57, 16, -90, 70, -35, 13, 95, 50, 99]
  Compare 70 and -35
  Swap 70 and -35
  List after swap: [-56, -57, 16, -90, -35, 70, 13, 95, 50, 99]
  Compare 70 and 13
  Swap 70 and 13
  List after swap: [-56, -57, 16, -90, -35, 13, 70, 95, 50, 99]
  Compare 70 and 95
  No swap needed
  Compare 95 and 50
  Swap 95 and 50
  List after swap: [-56, -57, 16, -90, -35, 13, 70, 50, 95, 99]
  Compare 95 and 99
  No swap needed

Pass 2:
  Compare -56 and -57
  Swap -56 and -57
  List after swap: [-57, -56, 16, -90, -35, 13, 70, 50, 95, 99]
  Compare -56 and 16
  No swap needed
  Compare 16 and -90
  Swap 16 and -90
  List after swap: [-57, -56, -90, 16, -35, 13, 70, 50, 95, 99]
  Compare 16 and -35
  Swap 16 and -35
  List after swap: [-57, -56, -90, -35, 16, 13, 70, 50, 95, 99]
  Compare 16 and 13
  Swap 16 and 13
  List after swap: [-57, -56, -90, -35, 13, 16, 70, 50, 95, 99]
  Compare 16 and 70
  No swap needed
  Compare 70 and 50
  Swap 70 and 50
  List after swap: [-57, -56, -90, -35, 13, 16, 50, 70, 95, 99]
  Compare 70 and 95
  No swap needed

Pass 3:
  Compare -57 and -56
  No swap needed
  Compare -56 and -90
  Swap -56 and -90
  List after swap: [-57, -90, -56, -35, 13, 16, 50, 70, 95, 99]
  Compare -56 and -35
  No swap needed
  Compare -35 and 13
  No swap needed
  Compare 13 and 16
  No swap needed
  Compare 16 and 50
  No swap needed
  Compare 50 and 70
  No swap needed

Pass 4:
  Compare -57 and -90
  Swap -57 and -90
  List after swap: [-90, -57, -56, -35, 13, 16, 50, 70, 95, 99]
  Compare -57 and -56
  No swap needed
  Compare -56 and -35
  No swap needed
  Compare -35 and 13
  No swap needed
  Compare 13 and 16
  No swap needed
  Compare 16 and 50
  No swap needed

Pass 5:
  Compare -90 and -57
  No swap needed
  Compare -57 and -56
  No swap needed
  Compare -56 and -35
  No swap needed
  Compare -35 and 13
  No swap needed
  Compare 13 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -57, -56, -35, 13, 16, 50, 70, 95, 99]
</think>

<response>-90, -57, -56, -35, 13, 16, 50, 70, 95, 99</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 95, -50, -100, 53, 3, -18.

output:
<think>
Initial list: [95, -50, -100, 53, 3, -18]

Pass 1:
  Compare 95 and -50
  Swap 95 and -50
  List after swap: [-50, 95, -100, 53, 3, -18]
  Compare 95 and -100
  Swap 95 and -100
  List after swap: [-50, -100, 95, 53, 3, -18]
  Compare 95 and 53
  Swap 95 and 53
  List after swap: [-50, -100, 53, 95, 3, -18]
  Compare 95 and 3
  Swap 95 and 3
  List after swap: [-50, -100, 53, 3, 95, -18]
  Compare 95 and -18
  Swap 95 and -18
  List after swap: [-50, -100, 53, 3, -18, 95]

Pass 2:
  Compare -50 and -100
  Swap -50 and -100
  List after swap: [-100, -50, 53, 3, -18, 95]
  Compare -50 and 53
  No swap needed
  Compare 53 and 3
  Swap 53 and 3
  List after swap: [-100, -50, 3, 53, -18, 95]
  Compare 53 and -18
  Swap 53 and -18
  List after swap: [-100, -50, 3, -18, 53, 95]

Pass 3:
  Compare -100 and -50
  No swap needed
  Compare -50 and 3
  No swap needed
  Compare 3 and -18
  Swap 3 and -18
  List after swap: [-100, -50, -18, 3, 53, 95]

Pass 4:
  Compare -100 and -50
  No swap needed
  Compare -50 and -18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -50, -18, 3, 53, 95]
</think>

<response>-100, -50, -18, 3, 53, 95</response>


input: Carry out the bubble sort algorithm on 18, -64, 70 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [18, -64, 70]

Pass 1:
  Compare 18 and -64
  Swap 18 and -64
  List after swap: [-64, 18, 70]
  Compare 18 and 70
  No swap needed

Pass 2:
  Compare -64 and 18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, 18, 70]
</think>

<response>-64, 18, 70</response>


input: Demonstrate how bubble sort orders the integers 51, 41, -8, -93, 73, 49, 9, 38, -87 in ascending sequence, showing all steps.

output:
<think>
Initial list: [51, 41, -8, -93, 73, 49, 9, 38, -87]

Pass 1:
  Compare 51 and 41
  Swap 51 and 41
  List after swap: [41, 51, -8, -93, 73, 49, 9, 38, -87]
  Compare 51 and -8
  Swap 51 and -8
  List after swap: [41, -8, 51, -93, 73, 49, 9, 38, -87]
  Compare 51 and -93
  Swap 51 and -93
  List after swap: [41, -8, -93, 51, 73, 49, 9, 38, -87]
  Compare 51 and 73
  No swap needed
  Compare 73 and 49
  Swap 73 and 49
  List after swap: [41, -8, -93, 51, 49, 73, 9, 38, -87]
  Compare 73 and 9
  Swap 73 and 9
  List after swap: [41, -8, -93, 51, 49, 9, 73, 38, -87]
  Compare 73 and 38
  Swap 73 and 38
  List after swap: [41, -8, -93, 51, 49, 9, 38, 73, -87]
  Compare 73 and -87
  Swap 73 and -87
  List after swap: [41, -8, -93, 51, 49, 9, 38, -87, 73]

Pass 2:
  Compare 41 and -8
  Swap 41 and -8
  List after swap: [-8, 41, -93, 51, 49, 9, 38, -87, 73]
  Compare 41 and -93
  Swap 41 and -93
  List after swap: [-8, -93, 41, 51, 49, 9, 38, -87, 73]
  Compare 41 and 51
  No swap needed
  Compare 51 and 49
  Swap 51 and 49
  List after swap: [-8, -93, 41, 49, 51, 9, 38, -87, 73]
  Compare 51 and 9
  Swap 51 and 9
  List after swap: [-8, -93, 41, 49, 9, 51, 38, -87, 73]
  Compare 51 and 38
  Swap 51 and 38
  List after swap: [-8, -93, 41, 49, 9, 38, 51, -87, 73]
  Compare 51 and -87
  Swap 51 and -87
  List after swap: [-8, -93, 41, 49, 9, 38, -87, 51, 73]

Pass 3:
  Compare -8 and -93
  Swap -8 and -93
  List after swap: [-93, -8, 41, 49, 9, 38, -87, 51, 73]
  Compare -8 and 41
  No swap needed
  Compare 41 and 49
  No swap needed
  Compare 49 and 9
  Swap 49 and 9
  List after swap: [-93, -8, 41, 9, 49, 38, -87, 51, 73]
  Compare 49 and 38
  Swap 49 and 38
  List after swap: [-93, -8, 41, 9, 38, 49, -87, 51, 73]
  Compare 49 and -87
  Swap 49 and -87
  List after swap: [-93, -8, 41, 9, 38, -87, 49, 51, 73]

Pass 4:
  Compare -93 and -8
  No swap needed
  Compare -8 and 41
  No swap needed
  Compare 41 and 9
  Swap 41 and 9
  List after swap: [-93, -8, 9, 41, 38, -87, 49, 51, 73]
  Compare 41 and 38
  Swap 41 and 38
  List after swap: [-93, -8, 9, 38, 41, -87, 49, 51, 73]
  Compare 41 and -87
  Swap 41 and -87
  List after swap: [-93, -8, 9, 38, -87, 41, 49, 51, 73]

Pass 5:
  Compare -93 and -8
  No swap needed
  Compare -8 and 9
  No swap needed
  Compare 9 and 38
  No swap needed
  Compare 38 and -87
  Swap 38 and -87
  List after swap: [-93, -8, 9, -87, 38, 41, 49, 51, 73]

Pass 6:
  Compare -93 and -8
  No swap needed
  Compare -8 and 9
  No swap needed
  Compare 9 and -87
  Swap 9 and -87
  List after swap: [-93, -8, -87, 9, 38, 41, 49, 51, 73]

Pass 7:
  Compare -93 and -8
  No swap needed
  Compare -8 and -87
  Swap -8 and -87
  List after swap: [-93, -87, -8, 9, 38, 41, 49, 51, 73]

Pass 8:
  Compare -93 and -87
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -87, -8, 9, 38, 41, 49, 51, 73]
</think>

<response>-93, -87, -8, 9, 38, 41, 49, 51, 73</response>


input: Implement bubble sort on 6, -64, -46, -95, -66, -24 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [6, -64, -46, -95, -66, -24]

Pass 1:
  Compare 6 and -64
  Swap 6 and -64
  List after swap: [-64, 6, -46, -95, -66, -24]
  Compare 6 and -46
  Swap 6 and -46
  List after swap: [-64, -46, 6, -95, -66, -24]
  Compare 6 and -95
  Swap 6 and -95
  List after swap: [-64, -46, -95, 6, -66, -24]
  Compare 6 and -66
  Swap 6 and -66
  List after swap: [-64, -46, -95, -66, 6, -24]
  Compare 6 and -24
  Swap 6 and -24
  List after swap: [-64, -46, -95, -66, -24, 6]

Pass 2:
  Compare -64 and -46
  No swap needed
  Compare -46 and -95
  Swap -46 and -95
  List after swap: [-64, -95, -46, -66, -24, 6]
  Compare -46 and -66
  Swap -46 and -66
  List after swap: [-64, -95, -66, -46, -24, 6]
  Compare -46 and -24
  No swap needed

Pass 3:
  Compare -64 and -95
  Swap -64 and -95
  List after swap: [-95, -64, -66, -46, -24, 6]
  Compare -64 and -66
  Swap -64 and -66
  List after swap: [-95, -66, -64, -46, -24, 6]
  Compare -64 and -46
  No swap needed

Pass 4:
  Compare -95 and -66
  No swap needed
  Compare -66 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -66, -64, -46, -24, 6]
</think>

<response>-95, -66, -64, -46, -24, 6</response>


input: Arrange the numbers 38, 74, 52, -22, 0, -53, 30, -98, 88, 94 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [38, 74, 52, -22, 0, -53, 30, -98, 88, 94]

Pass 1:
  Compare 38 and 74
  No swap needed
  Compare 74 and 52
  Swap 74 and 52
  List after swap: [38, 52, 74, -22, 0, -53, 30, -98, 88, 94]
  Compare 74 and -22
  Swap 74 and -22
  List after swap: [38, 52, -22, 74, 0, -53, 30, -98, 88, 94]
  Compare 74 and 0
  Swap 74 and 0
  List after swap: [38, 52, -22, 0, 74, -53, 30, -98, 88, 94]
  Compare 74 and -53
  Swap 74 and -53
  List after swap: [38, 52, -22, 0, -53, 74, 30, -98, 88, 94]
  Compare 74 and 30
  Swap 74 and 30
  List after swap: [38, 52, -22, 0, -53, 30, 74, -98, 88, 94]
  Compare 74 and -98
  Swap 74 and -98
  List after swap: [38, 52, -22, 0, -53, 30, -98, 74, 88, 94]
  Compare 74 and 88
  No swap needed
  Compare 88 and 94
  No swap needed

Pass 2:
  Compare 38 and 52
  No swap needed
  Compare 52 and -22
  Swap 52 and -22
  List after swap: [38, -22, 52, 0, -53, 30, -98, 74, 88, 94]
  Compare 52 and 0
  Swap 52 and 0
  List after swap: [38, -22, 0, 52, -53, 30, -98, 74, 88, 94]
  Compare 52 and -53
  Swap 52 and -53
  List after swap: [38, -22, 0, -53, 52, 30, -98, 74, 88, 94]
  Compare 52 and 30
  Swap 52 and 30
  List after swap: [38, -22, 0, -53, 30, 52, -98, 74, 88, 94]
  Compare 52 and -98
  Swap 52 and -98
  List after swap: [38, -22, 0, -53, 30, -98, 52, 74, 88, 94]
  Compare 52 and 74
  No swap needed
  Compare 74 and 88
  No swap needed

Pass 3:
  Compare 38 and -22
  Swap 38 and -22
  List after swap: [-22, 38, 0, -53, 30, -98, 52, 74, 88, 94]
  Compare 38 and 0
  Swap 38 and 0
  List after swap: [-22, 0, 38, -53, 30, -98, 52, 74, 88, 94]
  Compare 38 and -53
  Swap 38 and -53
  List after swap: [-22, 0, -53, 38, 30, -98, 52, 74, 88, 94]
  Compare 38 and 30
  Swap 38 and 30
  List after swap: [-22, 0, -53, 30, 38, -98, 52, 74, 88, 94]
  Compare 38 and -98
  Swap 38 and -98
  List after swap: [-22, 0, -53, 30, -98, 38, 52, 74, 88, 94]
  Compare 38 and 52
  No swap needed
  Compare 52 and 74
  No swap needed

Pass 4:
  Compare -22 and 0
  No swap needed
  Compare 0 and -53
  Swap 0 and -53
  List after swap: [-22, -53, 0, 30, -98, 38, 52, 74, 88, 94]
  Compare 0 and 30
  No swap needed
  Compare 30 and -98
  Swap 30 and -98
  List after swap: [-22, -53, 0, -98, 30, 38, 52, 74, 88, 94]
  Compare 30 and 38
  No swap needed
  Compare 38 and 52
  No swap needed

Pass 5:
  Compare -22 and -53
  Swap -22 and -53
  List after swap: [-53, -22, 0, -98, 30, 38, 52, 74, 88, 94]
  Compare -22 and 0
  No swap needed
  Compare 0 and -98
  Swap 0 and -98
  List after swap: [-53, -22, -98, 0, 30, 38, 52, 74, 88, 94]
  Compare 0 and 30
  No swap needed
  Compare 30 and 38
  No swap needed

Pass 6:
  Compare -53 and -22
  No swap needed
  Compare -22 and -98
  Swap -22 and -98
  List after swap: [-53, -98, -22, 0, 30, 38, 52, 74, 88, 94]
  Compare -22 and 0
  No swap needed
  Compare 0 and 30
  No swap needed

Pass 7:
  Compare -53 and -98
  Swap -53 and -98
  List after swap: [-98, -53, -22, 0, 30, 38, 52, 74, 88, 94]
  Compare -53 and -22
  No swap needed
  Compare -22 and 0
  No swap needed

Pass 8:
  Compare -98 and -53
  No swap needed
  Compare -53 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -53, -22, 0, 30, 38, 52, 74, 88, 94]
</think>

<response>-98, -53, -22, 0, 30, 38, 52, 74, 88, 94</response>


input: Perform a bubble sort on the integers 77, -65, -30, 89, -68, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [77, -65, -30, 89, -68]

Pass 1:
  Compare 77 and -65
  Swap 77 and -65
  List after swap: [-65, 77, -30, 89, -68]
  Compare 77 and -30
  Swap 77 and -30
  List after swap: [-65, -30, 77, 89, -68]
  Compare 77 and 89
  No swap needed
  Compare 89 and -68
  Swap 89 and -68
  List after swap: [-65, -30, 77, -68, 89]

Pass 2:
  Compare -65 and -30
  No swap needed
  Compare -30 and 77
  No swap needed
  Compare 77 and -68
  Swap 77 and -68
  List after swap: [-65, -30, -68, 77, 89]

Pass 3:
  Compare -65 and -30
  No swap needed
  Compare -30 and -68
  Swap -30 and -68
  List after swap: [-65, -68, -30, 77, 89]

Pass 4:
  Compare -65 and -68
  Swap -65 and -68
  List after swap: [-68, -65, -30, 77, 89]

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

Final sorted list: [-68, -65, -30, 77, 89]
</think>

<response>-68, -65, -30, 77, 89</response>


input: Using the bubble sort method, sort -27, -3, -34 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-27, -3, -34]

Pass 1:
  Compare -27 and -3
  No swap needed
  Compare -3 and -34
  Swap -3 and -34
  List after swap: [-27, -34, -3]

Pass 2:
  Compare -27 and -34
  Swap -27 and -34
  List after swap: [-34, -27, -3]

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

Final sorted list: [-34, -27, -3]
</think>

<response>-34, -27, -3</response>


input: Demonstrate how bubble sort orders the integers -82, -10, 77, 67 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-82, -10, 77, 67]

Pass 1:
  Compare -82 and -10
  No swap needed
  Compare -10 and 77
  No swap needed
  Compare 77 and 67
  Swap 77 and 67
  List after swap: [-82, -10, 67, 77]

Pass 2:
  Compare -82 and -10
  No swap needed
  Compare -10 and 67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -10, 67, 77]
</think>

<response>-82, -10, 67, 77</response>


input: Arrange the numbers -50, 18, -56, -86, 81, -8, 0, 38, -53, -39 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-50, 18, -56, -86, 81, -8, 0, 38, -53, -39]

Pass 1:
  Compare -50 and 18
  No swap needed
  Compare 18 and -56
  Swap 18 and -56
  List after swap: [-50, -56, 18, -86, 81, -8, 0, 38, -53, -39]
  Compare 18 and -86
  Swap 18 and -86
  List after swap: [-50, -56, -86, 18, 81, -8, 0, 38, -53, -39]
  Compare 18 and 81
  No swap needed
  Compare 81 and -8
  Swap 81 and -8
  List after swap: [-50, -56, -86, 18, -8, 81, 0, 38, -53, -39]
  Compare 81 and 0
  Swap 81 and 0
  List after swap: [-50, -56, -86, 18, -8, 0, 81, 38, -53, -39]
  Compare 81 and 38
  Swap 81 and 38
  List after swap: [-50, -56, -86, 18, -8, 0, 38, 81, -53, -39]
  Compare 81 and -53
  Swap 81 and -53
  List after swap: [-50, -56, -86, 18, -8, 0, 38, -53, 81, -39]
  Compare 81 and -39
  Swap 81 and -39
  List after swap: [-50, -56, -86, 18, -8, 0, 38, -53, -39, 81]

Pass 2:
  Compare -50 and -56
  Swap -50 and -56
  List after swap: [-56, -50, -86, 18, -8, 0, 38, -53, -39, 81]
  Compare -50 and -86
  Swap -50 and -86
  List after swap: [-56, -86, -50, 18, -8, 0, 38, -53, -39, 81]
  Compare -50 and 18
  No swap needed
  Compare 18 and -8
  Swap 18 and -8
  List after swap: [-56, -86, -50, -8, 18, 0, 38, -53, -39, 81]
  Compare 18 and 0
  Swap 18 and 0
  List after swap: [-56, -86, -50, -8, 0, 18, 38, -53, -39, 81]
  Compare 18 and 38
  No swap needed
  Compare 38 and -53
  Swap 38 and -53
  List after swap: [-56, -86, -50, -8, 0, 18, -53, 38, -39, 81]
  Compare 38 and -39
  Swap 38 and -39
  List after swap: [-56, -86, -50, -8, 0, 18, -53, -39, 38, 81]

Pass 3:
  Compare -56 and -86
  Swap -56 and -86
  List after swap: [-86, -56, -50, -8, 0, 18, -53, -39, 38, 81]
  Compare -56 and -50
  No swap needed
  Compare -50 and -8
  No swap needed
  Compare -8 and 0
  No swap needed
  Compare 0 and 18
  No swap needed
  Compare 18 and -53
  Swap 18 and -53
  List after swap: [-86, -56, -50, -8, 0, -53, 18, -39, 38, 81]
  Compare 18 and -39
  Swap 18 and -39
  List after swap: [-86, -56, -50, -8, 0, -53, -39, 18, 38, 81]

Pass 4:
  Compare -86 and -56
  No swap needed
  Compare -56 and -50
  No swap needed
  Compare -50 and -8
  No swap needed
  Compare -8 and 0
  No swap needed
  Compare 0 and -53
  Swap 0 and -53
  List after swap: [-86, -56, -50, -8, -53, 0, -39, 18, 38, 81]
  Compare 0 and -39
  Swap 0 and -39
  List after swap: [-86, -56, -50, -8, -53, -39, 0, 18, 38, 81]

Pass 5:
  Compare -86 and -56
  No swap needed
  Compare -56 and -50
  No swap needed
  Compare -50 and -8
  No swap needed
  Compare -8 and -53
  Swap -8 and -53
  List after swap: [-86, -56, -50, -53, -8, -39, 0, 18, 38, 81]
  Compare -8 and -39
  Swap -8 and -39
  List after swap: [-86, -56, -50, -53, -39, -8, 0, 18, 38, 81]

Pass 6:
  Compare -86 and -56
  No swap needed
  Compare -56 and -50
  No swap needed
  Compare -50 and -53
  Swap -50 and -53
  List after swap: [-86, -56, -53, -50, -39, -8, 0, 18, 38, 81]
  Compare -50 and -39
  No swap needed

Pass 7:
  Compare -86 and -56
  No swap needed
  Compare -56 and -53
  No swap needed
  Compare -53 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -56, -53, -50, -39, -8, 0, 18, 38, 81]
</think>

<response>-86, -56, -53, -50, -39, -8, 0, 18, 38, 81</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 6, 63, 72, -78.

output:
<think>
Initial list: [6, 63, 72, -78]

Pass 1:
  Compare 6 and 63
  No swap needed
  Compare 63 and 72
  No swap needed
  Compare 72 and -78
  Swap 72 and -78
  List after swap: [6, 63, -78, 72]

Pass 2:
  Compare 6 and 63
  No swap needed
  Compare 63 and -78
  Swap 63 and -78
  List after swap: [6, -78, 63, 72]

Pass 3:
  Compare 6 and -78
  Swap 6 and -78
  List after swap: [-78, 6, 63, 72]

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

Final sorted list: [-78, 6, 63, 72]
</think>

<response>-78, 6, 63, 72</response>


input: Execute bubble sort to sort 86, -84, 33, 62, 1, 2, 61 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [86, -84, 33, 62, 1, 2, 61]

Pass 1:
  Compare 86 and -84
  Swap 86 and -84
  List after swap: [-84, 86, 33, 62, 1, 2, 61]
  Compare 86 and 33
  Swap 86 and 33
  List after swap: [-84, 33, 86, 62, 1, 2, 61]
  Compare 86 and 62
  Swap 86 and 62
  List after swap: [-84, 33, 62, 86, 1, 2, 61]
  Compare 86 and 1
  Swap 86 and 1
  List after swap: [-84, 33, 62, 1, 86, 2, 61]
  Compare 86 and 2
  Swap 86 and 2
  List after swap: [-84, 33, 62, 1, 2, 86, 61]
  Compare 86 and 61
  Swap 86 and 61
  List after swap: [-84, 33, 62, 1, 2, 61, 86]

Pass 2:
  Compare -84 and 33
  No swap needed
  Compare 33 and 62
  No swap needed
  Compare 62 and 1
  Swap 62 and 1
  List after swap: [-84, 33, 1, 62, 2, 61, 86]
  Compare 62 and 2
  Swap 62 and 2
  List after swap: [-84, 33, 1, 2, 62, 61, 86]
  Compare 62 and 61
  Swap 62 and 61
  List after swap: [-84, 33, 1, 2, 61, 62, 86]

Pass 3:
  Compare -84 and 33
  No swap needed
  Compare 33 and 1
  Swap 33 and 1
  List after swap: [-84, 1, 33, 2, 61, 62, 86]
  Compare 33 and 2
  Swap 33 and 2
  List after swap: [-84, 1, 2, 33, 61, 62, 86]
  Compare 33 and 61
  No swap needed

Pass 4:
  Compare -84 and 1
  No swap needed
  Compare 1 and 2
  No swap needed
  Compare 2 and 33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, 1, 2, 33, 61, 62, 86]
</think>

<response>-84, 1, 2, 33, 61, 62, 86</response>


input: Sort these integers 37, -35 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [37, -35]

Pass 1:
  Compare 37 and -35
  Swap 37 and -35
  List after swap: [-35, 37]

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

Final sorted list: [-35, 37]
</think>

<response>-35, 37</response>