input: Carry out the bubble sort algorithm on -36, 77, 57 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-36, 77, 57]

Pass 1:
  Compare -36 and 77
  No swap needed
  Compare 77 and 57
  Swap 77 and 57
  List after swap: [-36, 57, 77]

Pass 2:
  Compare -36 and 57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-36, 57, 77]
</think>

<response>-36, 57, 77</response>


input: Sort the list 16, 68, -17, 46, 36, -47, -54, -26 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [16, 68, -17, 46, 36, -47, -54, -26]

Pass 1:
  Compare 16 and 68
  No swap needed
  Compare 68 and -17
  Swap 68 and -17
  List after swap: [16, -17, 68, 46, 36, -47, -54, -26]
  Compare 68 and 46
  Swap 68 and 46
  List after swap: [16, -17, 46, 68, 36, -47, -54, -26]
  Compare 68 and 36
  Swap 68 and 36
  List after swap: [16, -17, 46, 36, 68, -47, -54, -26]
  Compare 68 and -47
  Swap 68 and -47
  List after swap: [16, -17, 46, 36, -47, 68, -54, -26]
  Compare 68 and -54
  Swap 68 and -54
  List after swap: [16, -17, 46, 36, -47, -54, 68, -26]
  Compare 68 and -26
  Swap 68 and -26
  List after swap: [16, -17, 46, 36, -47, -54, -26, 68]

Pass 2:
  Compare 16 and -17
  Swap 16 and -17
  List after swap: [-17, 16, 46, 36, -47, -54, -26, 68]
  Compare 16 and 46
  No swap needed
  Compare 46 and 36
  Swap 46 and 36
  List after swap: [-17, 16, 36, 46, -47, -54, -26, 68]
  Compare 46 and -47
  Swap 46 and -47
  List after swap: [-17, 16, 36, -47, 46, -54, -26, 68]
  Compare 46 and -54
  Swap 46 and -54
  List after swap: [-17, 16, 36, -47, -54, 46, -26, 68]
  Compare 46 and -26
  Swap 46 and -26
  List after swap: [-17, 16, 36, -47, -54, -26, 46, 68]

Pass 3:
  Compare -17 and 16
  No swap needed
  Compare 16 and 36
  No swap needed
  Compare 36 and -47
  Swap 36 and -47
  List after swap: [-17, 16, -47, 36, -54, -26, 46, 68]
  Compare 36 and -54
  Swap 36 and -54
  List after swap: [-17, 16, -47, -54, 36, -26, 46, 68]
  Compare 36 and -26
  Swap 36 and -26
  List after swap: [-17, 16, -47, -54, -26, 36, 46, 68]

Pass 4:
  Compare -17 and 16
  No swap needed
  Compare 16 and -47
  Swap 16 and -47
  List after swap: [-17, -47, 16, -54, -26, 36, 46, 68]
  Compare 16 and -54
  Swap 16 and -54
  List after swap: [-17, -47, -54, 16, -26, 36, 46, 68]
  Compare 16 and -26
  Swap 16 and -26
  List after swap: [-17, -47, -54, -26, 16, 36, 46, 68]

Pass 5:
  Compare -17 and -47
  Swap -17 and -47
  List after swap: [-47, -17, -54, -26, 16, 36, 46, 68]
  Compare -17 and -54
  Swap -17 and -54
  List after swap: [-47, -54, -17, -26, 16, 36, 46, 68]
  Compare -17 and -26
  Swap -17 and -26
  List after swap: [-47, -54, -26, -17, 16, 36, 46, 68]

Pass 6:
  Compare -47 and -54
  Swap -47 and -54
  List after swap: [-54, -47, -26, -17, 16, 36, 46, 68]
  Compare -47 and -26
  No swap needed

Pass 7:
  Compare -54 and -47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-54, -47, -26, -17, 16, 36, 46, 68]
</think>

<response>-54, -47, -26, -17, 16, 36, 46, 68</response>


input: Using the bubble sort method, sort -91, 3 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-91, 3]

Pass 1:
  Compare -91 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, 3]
</think>

<response>-91, 3</response>


input: Carry out the bubble sort algorithm on 50, -62, 2, 68, 34, -85, -21 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [50, -62, 2, 68, 34, -85, -21]

Pass 1:
  Compare 50 and -62
  Swap 50 and -62
  List after swap: [-62, 50, 2, 68, 34, -85, -21]
  Compare 50 and 2
  Swap 50 and 2
  List after swap: [-62, 2, 50, 68, 34, -85, -21]
  Compare 50 and 68
  No swap needed
  Compare 68 and 34
  Swap 68 and 34
  List after swap: [-62, 2, 50, 34, 68, -85, -21]
  Compare 68 and -85
  Swap 68 and -85
  List after swap: [-62, 2, 50, 34, -85, 68, -21]
  Compare 68 and -21
  Swap 68 and -21
  List after swap: [-62, 2, 50, 34, -85, -21, 68]

Pass 2:
  Compare -62 and 2
  No swap needed
  Compare 2 and 50
  No swap needed
  Compare 50 and 34
  Swap 50 and 34
  List after swap: [-62, 2, 34, 50, -85, -21, 68]
  Compare 50 and -85
  Swap 50 and -85
  List after swap: [-62, 2, 34, -85, 50, -21, 68]
  Compare 50 and -21
  Swap 50 and -21
  List after swap: [-62, 2, 34, -85, -21, 50, 68]

Pass 3:
  Compare -62 and 2
  No swap needed
  Compare 2 and 34
  No swap needed
  Compare 34 and -85
  Swap 34 and -85
  List after swap: [-62, 2, -85, 34, -21, 50, 68]
  Compare 34 and -21
  Swap 34 and -21
  List after swap: [-62, 2, -85, -21, 34, 50, 68]

Pass 4:
  Compare -62 and 2
  No swap needed
  Compare 2 and -85
  Swap 2 and -85
  List after swap: [-62, -85, 2, -21, 34, 50, 68]
  Compare 2 and -21
  Swap 2 and -21
  List after swap: [-62, -85, -21, 2, 34, 50, 68]

Pass 5:
  Compare -62 and -85
  Swap -62 and -85
  List after swap: [-85, -62, -21, 2, 34, 50, 68]
  Compare -62 and -21
  No swap needed

Pass 6:
  Compare -85 and -62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -62, -21, 2, 34, 50, 68]
</think>

<response>-85, -62, -21, 2, 34, 50, 68</response>


input: Execute bubble sort to sort -16, -22, 19, -50, 11, 47, -61 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-16, -22, 19, -50, 11, 47, -61]

Pass 1:
  Compare -16 and -22
  Swap -16 and -22
  List after swap: [-22, -16, 19, -50, 11, 47, -61]
  Compare -16 and 19
  No swap needed
  Compare 19 and -50
  Swap 19 and -50
  List after swap: [-22, -16, -50, 19, 11, 47, -61]
  Compare 19 and 11
  Swap 19 and 11
  List after swap: [-22, -16, -50, 11, 19, 47, -61]
  Compare 19 and 47
  No swap needed
  Compare 47 and -61
  Swap 47 and -61
  List after swap: [-22, -16, -50, 11, 19, -61, 47]

Pass 2:
  Compare -22 and -16
  No swap needed
  Compare -16 and -50
  Swap -16 and -50
  List after swap: [-22, -50, -16, 11, 19, -61, 47]
  Compare -16 and 11
  No swap needed
  Compare 11 and 19
  No swap needed
  Compare 19 and -61
  Swap 19 and -61
  List after swap: [-22, -50, -16, 11, -61, 19, 47]

Pass 3:
  Compare -22 and -50
  Swap -22 and -50
  List after swap: [-50, -22, -16, 11, -61, 19, 47]
  Compare -22 and -16
  No swap needed
  Compare -16 and 11
  No swap needed
  Compare 11 and -61
  Swap 11 and -61
  List after swap: [-50, -22, -16, -61, 11, 19, 47]

Pass 4:
  Compare -50 and -22
  No swap needed
  Compare -22 and -16
  No swap needed
  Compare -16 and -61
  Swap -16 and -61
  List after swap: [-50, -22, -61, -16, 11, 19, 47]

Pass 5:
  Compare -50 and -22
  No swap needed
  Compare -22 and -61
  Swap -22 and -61
  List after swap: [-50, -61, -22, -16, 11, 19, 47]

Pass 6:
  Compare -50 and -61
  Swap -50 and -61
  List after swap: [-61, -50, -22, -16, 11, 19, 47]

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

Final sorted list: [-61, -50, -22, -16, 11, 19, 47]
</think>

<response>-61, -50, -22, -16, 11, 19, 47</response>


input: Implement bubble sort on 59, -29, 45 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [59, -29, 45]

Pass 1:
  Compare 59 and -29
  Swap 59 and -29
  List after swap: [-29, 59, 45]
  Compare 59 and 45
  Swap 59 and 45
  List after swap: [-29, 45, 59]

Pass 2:
  Compare -29 and 45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-29, 45, 59]
</think>

<response>-29, 45, 59</response>


input: Use the bubble sort technique to reorder -76, 82 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-76, 82]

Pass 1:
  Compare -76 and 82
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, 82]
</think>

<response>-76, 82</response>


input: Sort the list -22, 41, -53, -60, 42, 7, 60 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-22, 41, -53, -60, 42, 7, 60]

Pass 1:
  Compare -22 and 41
  No swap needed
  Compare 41 and -53
  Swap 41 and -53
  List after swap: [-22, -53, 41, -60, 42, 7, 60]
  Compare 41 and -60
  Swap 41 and -60
  List after swap: [-22, -53, -60, 41, 42, 7, 60]
  Compare 41 and 42
  No swap needed
  Compare 42 and 7
  Swap 42 and 7
  List after swap: [-22, -53, -60, 41, 7, 42, 60]
  Compare 42 and 60
  No swap needed

Pass 2:
  Compare -22 and -53
  Swap -22 and -53
  List after swap: [-53, -22, -60, 41, 7, 42, 60]
  Compare -22 and -60
  Swap -22 and -60
  List after swap: [-53, -60, -22, 41, 7, 42, 60]
  Compare -22 and 41
  No swap needed
  Compare 41 and 7
  Swap 41 and 7
  List after swap: [-53, -60, -22, 7, 41, 42, 60]
  Compare 41 and 42
  No swap needed

Pass 3:
  Compare -53 and -60
  Swap -53 and -60
  List after swap: [-60, -53, -22, 7, 41, 42, 60]
  Compare -53 and -22
  No swap needed
  Compare -22 and 7
  No swap needed
  Compare 7 and 41
  No swap needed

Pass 4:
  Compare -60 and -53
  No swap needed
  Compare -53 and -22
  No swap needed
  Compare -22 and 7
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -53, -22, 7, 41, 42, 60]
</think>

<response>-60, -53, -22, 7, 41, 42, 60</response>


input: Sort these integers -15, -43 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-15, -43]

Pass 1:
  Compare -15 and -43
  Swap -15 and -43
  List after swap: [-43, -15]

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

Final sorted list: [-43, -15]
</think>

<response>-43, -15</response>


input: Carry out the bubble sort algorithm on -65, 38, 65, -8, -93 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-65, 38, 65, -8, -93]

Pass 1:
  Compare -65 and 38
  No swap needed
  Compare 38 and 65
  No swap needed
  Compare 65 and -8
  Swap 65 and -8
  List after swap: [-65, 38, -8, 65, -93]
  Compare 65 and -93
  Swap 65 and -93
  List after swap: [-65, 38, -8, -93, 65]

Pass 2:
  Compare -65 and 38
  No swap needed
  Compare 38 and -8
  Swap 38 and -8
  List after swap: [-65, -8, 38, -93, 65]
  Compare 38 and -93
  Swap 38 and -93
  List after swap: [-65, -8, -93, 38, 65]

Pass 3:
  Compare -65 and -8
  No swap needed
  Compare -8 and -93
  Swap -8 and -93
  List after swap: [-65, -93, -8, 38, 65]

Pass 4:
  Compare -65 and -93
  Swap -65 and -93
  List after swap: [-93, -65, -8, 38, 65]

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

Final sorted list: [-93, -65, -8, 38, 65]
</think>

<response>-93, -65, -8, 38, 65</response>


input: Perform a bubble sort on the integers 88, -40, -97, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [88, -40, -97]

Pass 1:
  Compare 88 and -40
  Swap 88 and -40
  List after swap: [-40, 88, -97]
  Compare 88 and -97
  Swap 88 and -97
  List after swap: [-40, -97, 88]

Pass 2:
  Compare -40 and -97
  Swap -40 and -97
  List after swap: [-97, -40, 88]

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

Final sorted list: [-97, -40, 88]
</think>

<response>-97, -40, 88</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -37, 72, -67, 94, -82, 7, 5, 81.

output:
<think>
Initial list: [-37, 72, -67, 94, -82, 7, 5, 81]

Pass 1:
  Compare -37 and 72
  No swap needed
  Compare 72 and -67
  Swap 72 and -67
  List after swap: [-37, -67, 72, 94, -82, 7, 5, 81]
  Compare 72 and 94
  No swap needed
  Compare 94 and -82
  Swap 94 and -82
  List after swap: [-37, -67, 72, -82, 94, 7, 5, 81]
  Compare 94 and 7
  Swap 94 and 7
  List after swap: [-37, -67, 72, -82, 7, 94, 5, 81]
  Compare 94 and 5
  Swap 94 and 5
  List after swap: [-37, -67, 72, -82, 7, 5, 94, 81]
  Compare 94 and 81
  Swap 94 and 81
  List after swap: [-37, -67, 72, -82, 7, 5, 81, 94]

Pass 2:
  Compare -37 and -67
  Swap -37 and -67
  List after swap: [-67, -37, 72, -82, 7, 5, 81, 94]
  Compare -37 and 72
  No swap needed
  Compare 72 and -82
  Swap 72 and -82
  List after swap: [-67, -37, -82, 72, 7, 5, 81, 94]
  Compare 72 and 7
  Swap 72 and 7
  List after swap: [-67, -37, -82, 7, 72, 5, 81, 94]
  Compare 72 and 5
  Swap 72 and 5
  List after swap: [-67, -37, -82, 7, 5, 72, 81, 94]
  Compare 72 and 81
  No swap needed

Pass 3:
  Compare -67 and -37
  No swap needed
  Compare -37 and -82
  Swap -37 and -82
  List after swap: [-67, -82, -37, 7, 5, 72, 81, 94]
  Compare -37 and 7
  No swap needed
  Compare 7 and 5
  Swap 7 and 5
  List after swap: [-67, -82, -37, 5, 7, 72, 81, 94]
  Compare 7 and 72
  No swap needed

Pass 4:
  Compare -67 and -82
  Swap -67 and -82
  List after swap: [-82, -67, -37, 5, 7, 72, 81, 94]
  Compare -67 and -37
  No swap needed
  Compare -37 and 5
  No swap needed
  Compare 5 and 7
  No swap needed

Pass 5:
  Compare -82 and -67
  No swap needed
  Compare -67 and -37
  No swap needed
  Compare -37 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -67, -37, 5, 7, 72, 81, 94]
</think>

<response>-82, -67, -37, 5, 7, 72, 81, 94</response>


input: Using the bubble sort method, sort 70, -16, 35, -3 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [70, -16, 35, -3]

Pass 1:
  Compare 70 and -16
  Swap 70 and -16
  List after swap: [-16, 70, 35, -3]
  Compare 70 and 35
  Swap 70 and 35
  List after swap: [-16, 35, 70, -3]
  Compare 70 and -3
  Swap 70 and -3
  List after swap: [-16, 35, -3, 70]

Pass 2:
  Compare -16 and 35
  No swap needed
  Compare 35 and -3
  Swap 35 and -3
  List after swap: [-16, -3, 35, 70]

Pass 3:
  Compare -16 and -3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-16, -3, 35, 70]
</think>

<response>-16, -3, 35, 70</response>


input: Sort these integers 41, -23, -6, -28, 43, 54, -42, 63, -87, 21 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [41, -23, -6, -28, 43, 54, -42, 63, -87, 21]

Pass 1:
  Compare 41 and -23
  Swap 41 and -23
  List after swap: [-23, 41, -6, -28, 43, 54, -42, 63, -87, 21]
  Compare 41 and -6
  Swap 41 and -6
  List after swap: [-23, -6, 41, -28, 43, 54, -42, 63, -87, 21]
  Compare 41 and -28
  Swap 41 and -28
  List after swap: [-23, -6, -28, 41, 43, 54, -42, 63, -87, 21]
  Compare 41 and 43
  No swap needed
  Compare 43 and 54
  No swap needed
  Compare 54 and -42
  Swap 54 and -42
  List after swap: [-23, -6, -28, 41, 43, -42, 54, 63, -87, 21]
  Compare 54 and 63
  No swap needed
  Compare 63 and -87
  Swap 63 and -87
  List after swap: [-23, -6, -28, 41, 43, -42, 54, -87, 63, 21]
  Compare 63 and 21
  Swap 63 and 21
  List after swap: [-23, -6, -28, 41, 43, -42, 54, -87, 21, 63]

Pass 2:
  Compare -23 and -6
  No swap needed
  Compare -6 and -28
  Swap -6 and -28
  List after swap: [-23, -28, -6, 41, 43, -42, 54, -87, 21, 63]
  Compare -6 and 41
  No swap needed
  Compare 41 and 43
  No swap needed
  Compare 43 and -42
  Swap 43 and -42
  List after swap: [-23, -28, -6, 41, -42, 43, 54, -87, 21, 63]
  Compare 43 and 54
  No swap needed
  Compare 54 and -87
  Swap 54 and -87
  List after swap: [-23, -28, -6, 41, -42, 43, -87, 54, 21, 63]
  Compare 54 and 21
  Swap 54 and 21
  List after swap: [-23, -28, -6, 41, -42, 43, -87, 21, 54, 63]

Pass 3:
  Compare -23 and -28
  Swap -23 and -28
  List after swap: [-28, -23, -6, 41, -42, 43, -87, 21, 54, 63]
  Compare -23 and -6
  No swap needed
  Compare -6 and 41
  No swap needed
  Compare 41 and -42
  Swap 41 and -42
  List after swap: [-28, -23, -6, -42, 41, 43, -87, 21, 54, 63]
  Compare 41 and 43
  No swap needed
  Compare 43 and -87
  Swap 43 and -87
  List after swap: [-28, -23, -6, -42, 41, -87, 43, 21, 54, 63]
  Compare 43 and 21
  Swap 43 and 21
  List after swap: [-28, -23, -6, -42, 41, -87, 21, 43, 54, 63]

Pass 4:
  Compare -28 and -23
  No swap needed
  Compare -23 and -6
  No swap needed
  Compare -6 and -42
  Swap -6 and -42
  List after swap: [-28, -23, -42, -6, 41, -87, 21, 43, 54, 63]
  Compare -6 and 41
  No swap needed
  Compare 41 and -87
  Swap 41 and -87
  List after swap: [-28, -23, -42, -6, -87, 41, 21, 43, 54, 63]
  Compare 41 and 21
  Swap 41 and 21
  List after swap: [-28, -23, -42, -6, -87, 21, 41, 43, 54, 63]

Pass 5:
  Compare -28 and -23
  No swap needed
  Compare -23 and -42
  Swap -23 and -42
  List after swap: [-28, -42, -23, -6, -87, 21, 41, 43, 54, 63]
  Compare -23 and -6
  No swap needed
  Compare -6 and -87
  Swap -6 and -87
  List after swap: [-28, -42, -23, -87, -6, 21, 41, 43, 54, 63]
  Compare -6 and 21
  No swap needed

Pass 6:
  Compare -28 and -42
  Swap -28 and -42
  List after swap: [-42, -28, -23, -87, -6, 21, 41, 43, 54, 63]
  Compare -28 and -23
  No swap needed
  Compare -23 and -87
  Swap -23 and -87
  List after swap: [-42, -28, -87, -23, -6, 21, 41, 43, 54, 63]
  Compare -23 and -6
  No swap needed

Pass 7:
  Compare -42 and -28
  No swap needed
  Compare -28 and -87
  Swap -28 and -87
  List after swap: [-42, -87, -28, -23, -6, 21, 41, 43, 54, 63]
  Compare -28 and -23
  No swap needed

Pass 8:
  Compare -42 and -87
  Swap -42 and -87
  List after swap: [-87, -42, -28, -23, -6, 21, 41, 43, 54, 63]
  Compare -42 and -28
  No swap needed

Pass 9:
  Compare -87 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -42, -28, -23, -6, 21, 41, 43, 54, 63]
</think>

<response>-87, -42, -28, -23, -6, 21, 41, 43, 54, 63</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 56, 49, 66, 88, -30.

output:
<think>
Initial list: [56, 49, 66, 88, -30]

Pass 1:
  Compare 56 and 49
  Swap 56 and 49
  List after swap: [49, 56, 66, 88, -30]
  Compare 56 and 66
  No swap needed
  Compare 66 and 88
  No swap needed
  Compare 88 and -30
  Swap 88 and -30
  List after swap: [49, 56, 66, -30, 88]

Pass 2:
  Compare 49 and 56
  No swap needed
  Compare 56 and 66
  No swap needed
  Compare 66 and -30
  Swap 66 and -30
  List after swap: [49, 56, -30, 66, 88]

Pass 3:
  Compare 49 and 56
  No swap needed
  Compare 56 and -30
  Swap 56 and -30
  List after swap: [49, -30, 56, 66, 88]

Pass 4:
  Compare 49 and -30
  Swap 49 and -30
  List after swap: [-30, 49, 56, 66, 88]

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

Final sorted list: [-30, 49, 56, 66, 88]
</think>

<response>-30, 49, 56, 66, 88</response>


input: Perform a bubble sort on the integers -7, 83, 23, 5, 34, 63, 43, -14, -41, 16, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-7, 83, 23, 5, 34, 63, 43, -14, -41, 16]

Pass 1:
  Compare -7 and 83
  No swap needed
  Compare 83 and 23
  Swap 83 and 23
  List after swap: [-7, 23, 83, 5, 34, 63, 43, -14, -41, 16]
  Compare 83 and 5
  Swap 83 and 5
  List after swap: [-7, 23, 5, 83, 34, 63, 43, -14, -41, 16]
  Compare 83 and 34
  Swap 83 and 34
  List after swap: [-7, 23, 5, 34, 83, 63, 43, -14, -41, 16]
  Compare 83 and 63
  Swap 83 and 63
  List after swap: [-7, 23, 5, 34, 63, 83, 43, -14, -41, 16]
  Compare 83 and 43
  Swap 83 and 43
  List after swap: [-7, 23, 5, 34, 63, 43, 83, -14, -41, 16]
  Compare 83 and -14
  Swap 83 and -14
  List after swap: [-7, 23, 5, 34, 63, 43, -14, 83, -41, 16]
  Compare 83 and -41
  Swap 83 and -41
  List after swap: [-7, 23, 5, 34, 63, 43, -14, -41, 83, 16]
  Compare 83 and 16
  Swap 83 and 16
  List after swap: [-7, 23, 5, 34, 63, 43, -14, -41, 16, 83]

Pass 2:
  Compare -7 and 23
  No swap needed
  Compare 23 and 5
  Swap 23 and 5
  List after swap: [-7, 5, 23, 34, 63, 43, -14, -41, 16, 83]
  Compare 23 and 34
  No swap needed
  Compare 34 and 63
  No swap needed
  Compare 63 and 43
  Swap 63 and 43
  List after swap: [-7, 5, 23, 34, 43, 63, -14, -41, 16, 83]
  Compare 63 and -14
  Swap 63 and -14
  List after swap: [-7, 5, 23, 34, 43, -14, 63, -41, 16, 83]
  Compare 63 and -41
  Swap 63 and -41
  List after swap: [-7, 5, 23, 34, 43, -14, -41, 63, 16, 83]
  Compare 63 and 16
  Swap 63 and 16
  List after swap: [-7, 5, 23, 34, 43, -14, -41, 16, 63, 83]

Pass 3:
  Compare -7 and 5
  No swap needed
  Compare 5 and 23
  No swap needed
  Compare 23 and 34
  No swap needed
  Compare 34 and 43
  No swap needed
  Compare 43 and -14
  Swap 43 and -14
  List after swap: [-7, 5, 23, 34, -14, 43, -41, 16, 63, 83]
  Compare 43 and -41
  Swap 43 and -41
  List after swap: [-7, 5, 23, 34, -14, -41, 43, 16, 63, 83]
  Compare 43 and 16
  Swap 43 and 16
  List after swap: [-7, 5, 23, 34, -14, -41, 16, 43, 63, 83]

Pass 4:
  Compare -7 and 5
  No swap needed
  Compare 5 and 23
  No swap needed
  Compare 23 and 34
  No swap needed
  Compare 34 and -14
  Swap 34 and -14
  List after swap: [-7, 5, 23, -14, 34, -41, 16, 43, 63, 83]
  Compare 34 and -41
  Swap 34 and -41
  List after swap: [-7, 5, 23, -14, -41, 34, 16, 43, 63, 83]
  Compare 34 and 16
  Swap 34 and 16
  List after swap: [-7, 5, 23, -14, -41, 16, 34, 43, 63, 83]

Pass 5:
  Compare -7 and 5
  No swap needed
  Compare 5 and 23
  No swap needed
  Compare 23 and -14
  Swap 23 and -14
  List after swap: [-7, 5, -14, 23, -41, 16, 34, 43, 63, 83]
  Compare 23 and -41
  Swap 23 and -41
  List after swap: [-7, 5, -14, -41, 23, 16, 34, 43, 63, 83]
  Compare 23 and 16
  Swap 23 and 16
  List after swap: [-7, 5, -14, -41, 16, 23, 34, 43, 63, 83]

Pass 6:
  Compare -7 and 5
  No swap needed
  Compare 5 and -14
  Swap 5 and -14
  List after swap: [-7, -14, 5, -41, 16, 23, 34, 43, 63, 83]
  Compare 5 and -41
  Swap 5 and -41
  List after swap: [-7, -14, -41, 5, 16, 23, 34, 43, 63, 83]
  Compare 5 and 16
  No swap needed

Pass 7:
  Compare -7 and -14
  Swap -7 and -14
  List after swap: [-14, -7, -41, 5, 16, 23, 34, 43, 63, 83]
  Compare -7 and -41
  Swap -7 and -41
  List after swap: [-14, -41, -7, 5, 16, 23, 34, 43, 63, 83]
  Compare -7 and 5
  No swap needed

Pass 8:
  Compare -14 and -41
  Swap -14 and -41
  List after swap: [-41, -14, -7, 5, 16, 23, 34, 43, 63, 83]
  Compare -14 and -7
  No swap needed

Pass 9:
  Compare -41 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-41, -14, -7, 5, 16, 23, 34, 43, 63, 83]
</think>

<response>-41, -14, -7, 5, 16, 23, 34, 43, 63, 83</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 91, 63, 79, -72, 39, -30, -58, -60, -42, 15.

output:
<think>
Initial list: [91, 63, 79, -72, 39, -30, -58, -60, -42, 15]

Pass 1:
  Compare 91 and 63
  Swap 91 and 63
  List after swap: [63, 91, 79, -72, 39, -30, -58, -60, -42, 15]
  Compare 91 and 79
  Swap 91 and 79
  List after swap: [63, 79, 91, -72, 39, -30, -58, -60, -42, 15]
  Compare 91 and -72
  Swap 91 and -72
  List after swap: [63, 79, -72, 91, 39, -30, -58, -60, -42, 15]
  Compare 91 and 39
  Swap 91 and 39
  List after swap: [63, 79, -72, 39, 91, -30, -58, -60, -42, 15]
  Compare 91 and -30
  Swap 91 and -30
  List after swap: [63, 79, -72, 39, -30, 91, -58, -60, -42, 15]
  Compare 91 and -58
  Swap 91 and -58
  List after swap: [63, 79, -72, 39, -30, -58, 91, -60, -42, 15]
  Compare 91 and -60
  Swap 91 and -60
  List after swap: [63, 79, -72, 39, -30, -58, -60, 91, -42, 15]
  Compare 91 and -42
  Swap 91 and -42
  List after swap: [63, 79, -72, 39, -30, -58, -60, -42, 91, 15]
  Compare 91 and 15
  Swap 91 and 15
  List after swap: [63, 79, -72, 39, -30, -58, -60, -42, 15, 91]

Pass 2:
  Compare 63 and 79
  No swap needed
  Compare 79 and -72
  Swap 79 and -72
  List after swap: [63, -72, 79, 39, -30, -58, -60, -42, 15, 91]
  Compare 79 and 39
  Swap 79 and 39
  List after swap: [63, -72, 39, 79, -30, -58, -60, -42, 15, 91]
  Compare 79 and -30
  Swap 79 and -30
  List after swap: [63, -72, 39, -30, 79, -58, -60, -42, 15, 91]
  Compare 79 and -58
  Swap 79 and -58
  List after swap: [63, -72, 39, -30, -58, 79, -60, -42, 15, 91]
  Compare 79 and -60
  Swap 79 and -60
  List after swap: [63, -72, 39, -30, -58, -60, 79, -42, 15, 91]
  Compare 79 and -42
  Swap 79 and -42
  List after swap: [63, -72, 39, -30, -58, -60, -42, 79, 15, 91]
  Compare 79 and 15
  Swap 79 and 15
  List after swap: [63, -72, 39, -30, -58, -60, -42, 15, 79, 91]

Pass 3:
  Compare 63 and -72
  Swap 63 and -72
  List after swap: [-72, 63, 39, -30, -58, -60, -42, 15, 79, 91]
  Compare 63 and 39
  Swap 63 and 39
  List after swap: [-72, 39, 63, -30, -58, -60, -42, 15, 79, 91]
  Compare 63 and -30
  Swap 63 and -30
  List after swap: [-72, 39, -30, 63, -58, -60, -42, 15, 79, 91]
  Compare 63 and -58
  Swap 63 and -58
  List after swap: [-72, 39, -30, -58, 63, -60, -42, 15, 79, 91]
  Compare 63 and -60
  Swap 63 and -60
  List after swap: [-72, 39, -30, -58, -60, 63, -42, 15, 79, 91]
  Compare 63 and -42
  Swap 63 and -42
  List after swap: [-72, 39, -30, -58, -60, -42, 63, 15, 79, 91]
  Compare 63 and 15
  Swap 63 and 15
  List after swap: [-72, 39, -30, -58, -60, -42, 15, 63, 79, 91]

Pass 4:
  Compare -72 and 39
  No swap needed
  Compare 39 and -30
  Swap 39 and -30
  List after swap: [-72, -30, 39, -58, -60, -42, 15, 63, 79, 91]
  Compare 39 and -58
  Swap 39 and -58
  List after swap: [-72, -30, -58, 39, -60, -42, 15, 63, 79, 91]
  Compare 39 and -60
  Swap 39 and -60
  List after swap: [-72, -30, -58, -60, 39, -42, 15, 63, 79, 91]
  Compare 39 and -42
  Swap 39 and -42
  List after swap: [-72, -30, -58, -60, -42, 39, 15, 63, 79, 91]
  Compare 39 and 15
  Swap 39 and 15
  List after swap: [-72, -30, -58, -60, -42, 15, 39, 63, 79, 91]

Pass 5:
  Compare -72 and -30
  No swap needed
  Compare -30 and -58
  Swap -30 and -58
  List after swap: [-72, -58, -30, -60, -42, 15, 39, 63, 79, 91]
  Compare -30 and -60
  Swap -30 and -60
  List after swap: [-72, -58, -60, -30, -42, 15, 39, 63, 79, 91]
  Compare -30 and -42
  Swap -30 and -42
  List after swap: [-72, -58, -60, -42, -30, 15, 39, 63, 79, 91]
  Compare -30 and 15
  No swap needed

Pass 6:
  Compare -72 and -58
  No swap needed
  Compare -58 and -60
  Swap -58 and -60
  List after swap: [-72, -60, -58, -42, -30, 15, 39, 63, 79, 91]
  Compare -58 and -42
  No swap needed
  Compare -42 and -30
  No swap needed

Pass 7:
  Compare -72 and -60
  No swap needed
  Compare -60 and -58
  No swap needed
  Compare -58 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -60, -58, -42, -30, 15, 39, 63, 79, 91]
</think>

<response>-72, -60, -58, -42, -30, 15, 39, 63, 79, 91</response>


input: Carry out the bubble sort algorithm on 62, -17, 32, -30 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [62, -17, 32, -30]

Pass 1:
  Compare 62 and -17
  Swap 62 and -17
  List after swap: [-17, 62, 32, -30]
  Compare 62 and 32
  Swap 62 and 32
  List after swap: [-17, 32, 62, -30]
  Compare 62 and -30
  Swap 62 and -30
  List after swap: [-17, 32, -30, 62]

Pass 2:
  Compare -17 and 32
  No swap needed
  Compare 32 and -30
  Swap 32 and -30
  List after swap: [-17, -30, 32, 62]

Pass 3:
  Compare -17 and -30
  Swap -17 and -30
  List after swap: [-30, -17, 32, 62]

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

Final sorted list: [-30, -17, 32, 62]
</think>

<response>-30, -17, 32, 62</response>


input: Using the bubble sort method, sort -84, -34, -68, -58, 19, 73, -77, 57, 7, 88 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-84, -34, -68, -58, 19, 73, -77, 57, 7, 88]

Pass 1:
  Compare -84 and -34
  No swap needed
  Compare -34 and -68
  Swap -34 and -68
  List after swap: [-84, -68, -34, -58, 19, 73, -77, 57, 7, 88]
  Compare -34 and -58
  Swap -34 and -58
  List after swap: [-84, -68, -58, -34, 19, 73, -77, 57, 7, 88]
  Compare -34 and 19
  No swap needed
  Compare 19 and 73
  No swap needed
  Compare 73 and -77
  Swap 73 and -77
  List after swap: [-84, -68, -58, -34, 19, -77, 73, 57, 7, 88]
  Compare 73 and 57
  Swap 73 and 57
  List after swap: [-84, -68, -58, -34, 19, -77, 57, 73, 7, 88]
  Compare 73 and 7
  Swap 73 and 7
  List after swap: [-84, -68, -58, -34, 19, -77, 57, 7, 73, 88]
  Compare 73 and 88
  No swap needed

Pass 2:
  Compare -84 and -68
  No swap needed
  Compare -68 and -58
  No swap needed
  Compare -58 and -34
  No swap needed
  Compare -34 and 19
  No swap needed
  Compare 19 and -77
  Swap 19 and -77
  List after swap: [-84, -68, -58, -34, -77, 19, 57, 7, 73, 88]
  Compare 19 and 57
  No swap needed
  Compare 57 and 7
  Swap 57 and 7
  List after swap: [-84, -68, -58, -34, -77, 19, 7, 57, 73, 88]
  Compare 57 and 73
  No swap needed

Pass 3:
  Compare -84 and -68
  No swap needed
  Compare -68 and -58
  No swap needed
  Compare -58 and -34
  No swap needed
  Compare -34 and -77
  Swap -34 and -77
  List after swap: [-84, -68, -58, -77, -34, 19, 7, 57, 73, 88]
  Compare -34 and 19
  No swap needed
  Compare 19 and 7
  Swap 19 and 7
  List after swap: [-84, -68, -58, -77, -34, 7, 19, 57, 73, 88]
  Compare 19 and 57
  No swap needed

Pass 4:
  Compare -84 and -68
  No swap needed
  Compare -68 and -58
  No swap needed
  Compare -58 and -77
  Swap -58 and -77
  List after swap: [-84, -68, -77, -58, -34, 7, 19, 57, 73, 88]
  Compare -58 and -34
  No swap needed
  Compare -34 and 7
  No swap needed
  Compare 7 and 19
  No swap needed

Pass 5:
  Compare -84 and -68
  No swap needed
  Compare -68 and -77
  Swap -68 and -77
  List after swap: [-84, -77, -68, -58, -34, 7, 19, 57, 73, 88]
  Compare -68 and -58
  No swap needed
  Compare -58 and -34
  No swap needed
  Compare -34 and 7
  No swap needed

Pass 6:
  Compare -84 and -77
  No swap needed
  Compare -77 and -68
  No swap needed
  Compare -68 and -58
  No swap needed
  Compare -58 and -34
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -77, -68, -58, -34, 7, 19, 57, 73, 88]
</think>

<response>-84, -77, -68, -58, -34, 7, 19, 57, 73, 88</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -74, -31, 3, -52, 44, 35.

output:
<think>
Initial list: [-74, -31, 3, -52, 44, 35]

Pass 1:
  Compare -74 and -31
  No swap needed
  Compare -31 and 3
  No swap needed
  Compare 3 and -52
  Swap 3 and -52
  List after swap: [-74, -31, -52, 3, 44, 35]
  Compare 3 and 44
  No swap needed
  Compare 44 and 35
  Swap 44 and 35
  List after swap: [-74, -31, -52, 3, 35, 44]

Pass 2:
  Compare -74 and -31
  No swap needed
  Compare -31 and -52
  Swap -31 and -52
  List after swap: [-74, -52, -31, 3, 35, 44]
  Compare -31 and 3
  No swap needed
  Compare 3 and 35
  No swap needed

Pass 3:
  Compare -74 and -52
  No swap needed
  Compare -52 and -31
  No swap needed
  Compare -31 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -52, -31, 3, 35, 44]
</think>

<response>-74, -52, -31, 3, 35, 44</response>


input: Arrange the numbers -71, 67, 98, -90, 60, -10 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-71, 67, 98, -90, 60, -10]

Pass 1:
  Compare -71 and 67
  No swap needed
  Compare 67 and 98
  No swap needed
  Compare 98 and -90
  Swap 98 and -90
  List after swap: [-71, 67, -90, 98, 60, -10]
  Compare 98 and 60
  Swap 98 and 60
  List after swap: [-71, 67, -90, 60, 98, -10]
  Compare 98 and -10
  Swap 98 and -10
  List after swap: [-71, 67, -90, 60, -10, 98]

Pass 2:
  Compare -71 and 67
  No swap needed
  Compare 67 and -90
  Swap 67 and -90
  List after swap: [-71, -90, 67, 60, -10, 98]
  Compare 67 and 60
  Swap 67 and 60
  List after swap: [-71, -90, 60, 67, -10, 98]
  Compare 67 and -10
  Swap 67 and -10
  List after swap: [-71, -90, 60, -10, 67, 98]

Pass 3:
  Compare -71 and -90
  Swap -71 and -90
  List after swap: [-90, -71, 60, -10, 67, 98]
  Compare -71 and 60
  No swap needed
  Compare 60 and -10
  Swap 60 and -10
  List after swap: [-90, -71, -10, 60, 67, 98]

Pass 4:
  Compare -90 and -71
  No swap needed
  Compare -71 and -10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -71, -10, 60, 67, 98]
</think>

<response>-90, -71, -10, 60, 67, 98</response>


input: Use the bubble sort technique to reorder -5, -47, -30, -66, -72, 52, -17, -88 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-5, -47, -30, -66, -72, 52, -17, -88]

Pass 1:
  Compare -5 and -47
  Swap -5 and -47
  List after swap: [-47, -5, -30, -66, -72, 52, -17, -88]
  Compare -5 and -30
  Swap -5 and -30
  List after swap: [-47, -30, -5, -66, -72, 52, -17, -88]
  Compare -5 and -66
  Swap -5 and -66
  List after swap: [-47, -30, -66, -5, -72, 52, -17, -88]
  Compare -5 and -72
  Swap -5 and -72
  List after swap: [-47, -30, -66, -72, -5, 52, -17, -88]
  Compare -5 and 52
  No swap needed
  Compare 52 and -17
  Swap 52 and -17
  List after swap: [-47, -30, -66, -72, -5, -17, 52, -88]
  Compare 52 and -88
  Swap 52 and -88
  List after swap: [-47, -30, -66, -72, -5, -17, -88, 52]

Pass 2:
  Compare -47 and -30
  No swap needed
  Compare -30 and -66
  Swap -30 and -66
  List after swap: [-47, -66, -30, -72, -5, -17, -88, 52]
  Compare -30 and -72
  Swap -30 and -72
  List after swap: [-47, -66, -72, -30, -5, -17, -88, 52]
  Compare -30 and -5
  No swap needed
  Compare -5 and -17
  Swap -5 and -17
  List after swap: [-47, -66, -72, -30, -17, -5, -88, 52]
  Compare -5 and -88
  Swap -5 and -88
  List after swap: [-47, -66, -72, -30, -17, -88, -5, 52]

Pass 3:
  Compare -47 and -66
  Swap -47 and -66
  List after swap: [-66, -47, -72, -30, -17, -88, -5, 52]
  Compare -47 and -72
  Swap -47 and -72
  List after swap: [-66, -72, -47, -30, -17, -88, -5, 52]
  Compare -47 and -30
  No swap needed
  Compare -30 and -17
  No swap needed
  Compare -17 and -88
  Swap -17 and -88
  List after swap: [-66, -72, -47, -30, -88, -17, -5, 52]

Pass 4:
  Compare -66 and -72
  Swap -66 and -72
  List after swap: [-72, -66, -47, -30, -88, -17, -5, 52]
  Compare -66 and -47
  No swap needed
  Compare -47 and -30
  No swap needed
  Compare -30 and -88
  Swap -30 and -88
  List after swap: [-72, -66, -47, -88, -30, -17, -5, 52]

Pass 5:
  Compare -72 and -66
  No swap needed
  Compare -66 and -47
  No swap needed
  Compare -47 and -88
  Swap -47 and -88
  List after swap: [-72, -66, -88, -47, -30, -17, -5, 52]

Pass 6:
  Compare -72 and -66
  No swap needed
  Compare -66 and -88
  Swap -66 and -88
  List after swap: [-72, -88, -66, -47, -30, -17, -5, 52]

Pass 7:
  Compare -72 and -88
  Swap -72 and -88
  List after swap: [-88, -72, -66, -47, -30, -17, -5, 52]

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

Final sorted list: [-88, -72, -66, -47, -30, -17, -5, 52]
</think>

<response>-88, -72, -66, -47, -30, -17, -5, 52</response>


input: Use the bubble sort technique to reorder -18, 44, -93 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-18, 44, -93]

Pass 1:
  Compare -18 and 44
  No swap needed
  Compare 44 and -93
  Swap 44 and -93
  List after swap: [-18, -93, 44]

Pass 2:
  Compare -18 and -93
  Swap -18 and -93
  List after swap: [-93, -18, 44]

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

Final sorted list: [-93, -18, 44]
</think>

<response>-93, -18, 44</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -91, 4.

output:
<think>
Initial list: [-91, 4]

Pass 1:
  Compare -91 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, 4]
</think>

<response>-91, 4</response>


input: Sort the list 88, -43, -97, -42, 70, 74, -100, -15, -45 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [88, -43, -97, -42, 70, 74, -100, -15, -45]

Pass 1:
  Compare 88 and -43
  Swap 88 and -43
  List after swap: [-43, 88, -97, -42, 70, 74, -100, -15, -45]
  Compare 88 and -97
  Swap 88 and -97
  List after swap: [-43, -97, 88, -42, 70, 74, -100, -15, -45]
  Compare 88 and -42
  Swap 88 and -42
  List after swap: [-43, -97, -42, 88, 70, 74, -100, -15, -45]
  Compare 88 and 70
  Swap 88 and 70
  List after swap: [-43, -97, -42, 70, 88, 74, -100, -15, -45]
  Compare 88 and 74
  Swap 88 and 74
  List after swap: [-43, -97, -42, 70, 74, 88, -100, -15, -45]
  Compare 88 and -100
  Swap 88 and -100
  List after swap: [-43, -97, -42, 70, 74, -100, 88, -15, -45]
  Compare 88 and -15
  Swap 88 and -15
  List after swap: [-43, -97, -42, 70, 74, -100, -15, 88, -45]
  Compare 88 and -45
  Swap 88 and -45
  List after swap: [-43, -97, -42, 70, 74, -100, -15, -45, 88]

Pass 2:
  Compare -43 and -97
  Swap -43 and -97
  List after swap: [-97, -43, -42, 70, 74, -100, -15, -45, 88]
  Compare -43 and -42
  No swap needed
  Compare -42 and 70
  No swap needed
  Compare 70 and 74
  No swap needed
  Compare 74 and -100
  Swap 74 and -100
  List after swap: [-97, -43, -42, 70, -100, 74, -15, -45, 88]
  Compare 74 and -15
  Swap 74 and -15
  List after swap: [-97, -43, -42, 70, -100, -15, 74, -45, 88]
  Compare 74 and -45
  Swap 74 and -45
  List after swap: [-97, -43, -42, 70, -100, -15, -45, 74, 88]

Pass 3:
  Compare -97 and -43
  No swap needed
  Compare -43 and -42
  No swap needed
  Compare -42 and 70
  No swap needed
  Compare 70 and -100
  Swap 70 and -100
  List after swap: [-97, -43, -42, -100, 70, -15, -45, 74, 88]
  Compare 70 and -15
  Swap 70 and -15
  List after swap: [-97, -43, -42, -100, -15, 70, -45, 74, 88]
  Compare 70 and -45
  Swap 70 and -45
  List after swap: [-97, -43, -42, -100, -15, -45, 70, 74, 88]

Pass 4:
  Compare -97 and -43
  No swap needed
  Compare -43 and -42
  No swap needed
  Compare -42 and -100
  Swap -42 and -100
  List after swap: [-97, -43, -100, -42, -15, -45, 70, 74, 88]
  Compare -42 and -15
  No swap needed
  Compare -15 and -45
  Swap -15 and -45
  List after swap: [-97, -43, -100, -42, -45, -15, 70, 74, 88]

Pass 5:
  Compare -97 and -43
  No swap needed
  Compare -43 and -100
  Swap -43 and -100
  List after swap: [-97, -100, -43, -42, -45, -15, 70, 74, 88]
  Compare -43 and -42
  No swap needed
  Compare -42 and -45
  Swap -42 and -45
  List after swap: [-97, -100, -43, -45, -42, -15, 70, 74, 88]

Pass 6:
  Compare -97 and -100
  Swap -97 and -100
  List after swap: [-100, -97, -43, -45, -42, -15, 70, 74, 88]
  Compare -97 and -43
  No swap needed
  Compare -43 and -45
  Swap -43 and -45
  List after swap: [-100, -97, -45, -43, -42, -15, 70, 74, 88]

Pass 7:
  Compare -100 and -97
  No swap needed
  Compare -97 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -97, -45, -43, -42, -15, 70, 74, 88]
</think>

<response>-100, -97, -45, -43, -42, -15, 70, 74, 88</response>


input: Sort the list 28, -86, 98, -23, 25, 12 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [28, -86, 98, -23, 25, 12]

Pass 1:
  Compare 28 and -86
  Swap 28 and -86
  List after swap: [-86, 28, 98, -23, 25, 12]
  Compare 28 and 98
  No swap needed
  Compare 98 and -23
  Swap 98 and -23
  List after swap: [-86, 28, -23, 98, 25, 12]
  Compare 98 and 25
  Swap 98 and 25
  List after swap: [-86, 28, -23, 25, 98, 12]
  Compare 98 and 12
  Swap 98 and 12
  List after swap: [-86, 28, -23, 25, 12, 98]

Pass 2:
  Compare -86 and 28
  No swap needed
  Compare 28 and -23
  Swap 28 and -23
  List after swap: [-86, -23, 28, 25, 12, 98]
  Compare 28 and 25
  Swap 28 and 25
  List after swap: [-86, -23, 25, 28, 12, 98]
  Compare 28 and 12
  Swap 28 and 12
  List after swap: [-86, -23, 25, 12, 28, 98]

Pass 3:
  Compare -86 and -23
  No swap needed
  Compare -23 and 25
  No swap needed
  Compare 25 and 12
  Swap 25 and 12
  List after swap: [-86, -23, 12, 25, 28, 98]

Pass 4:
  Compare -86 and -23
  No swap needed
  Compare -23 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -23, 12, 25, 28, 98]
</think>

<response>-86, -23, 12, 25, 28, 98</response>


input: Execute bubble sort to sort -25, 10, -73 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-25, 10, -73]

Pass 1:
  Compare -25 and 10
  No swap needed
  Compare 10 and -73
  Swap 10 and -73
  List after swap: [-25, -73, 10]

Pass 2:
  Compare -25 and -73
  Swap -25 and -73
  List after swap: [-73, -25, 10]

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

Final sorted list: [-73, -25, 10]
</think>

<response>-73, -25, 10</response>


input: Execute bubble sort to sort 82, -58, 37, 6 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [82, -58, 37, 6]

Pass 1:
  Compare 82 and -58
  Swap 82 and -58
  List after swap: [-58, 82, 37, 6]
  Compare 82 and 37
  Swap 82 and 37
  List after swap: [-58, 37, 82, 6]
  Compare 82 and 6
  Swap 82 and 6
  List after swap: [-58, 37, 6, 82]

Pass 2:
  Compare -58 and 37
  No swap needed
  Compare 37 and 6
  Swap 37 and 6
  List after swap: [-58, 6, 37, 82]

Pass 3:
  Compare -58 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, 6, 37, 82]
</think>

<response>-58, 6, 37, 82</response>


input: Sort the list 99, -85, 64, -22, 28, -51, 17, 21, -33 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [99, -85, 64, -22, 28, -51, 17, 21, -33]

Pass 1:
  Compare 99 and -85
  Swap 99 and -85
  List after swap: [-85, 99, 64, -22, 28, -51, 17, 21, -33]
  Compare 99 and 64
  Swap 99 and 64
  List after swap: [-85, 64, 99, -22, 28, -51, 17, 21, -33]
  Compare 99 and -22
  Swap 99 and -22
  List after swap: [-85, 64, -22, 99, 28, -51, 17, 21, -33]
  Compare 99 and 28
  Swap 99 and 28
  List after swap: [-85, 64, -22, 28, 99, -51, 17, 21, -33]
  Compare 99 and -51
  Swap 99 and -51
  List after swap: [-85, 64, -22, 28, -51, 99, 17, 21, -33]
  Compare 99 and 17
  Swap 99 and 17
  List after swap: [-85, 64, -22, 28, -51, 17, 99, 21, -33]
  Compare 99 and 21
  Swap 99 and 21
  List after swap: [-85, 64, -22, 28, -51, 17, 21, 99, -33]
  Compare 99 and -33
  Swap 99 and -33
  List after swap: [-85, 64, -22, 28, -51, 17, 21, -33, 99]

Pass 2:
  Compare -85 and 64
  No swap needed
  Compare 64 and -22
  Swap 64 and -22
  List after swap: [-85, -22, 64, 28, -51, 17, 21, -33, 99]
  Compare 64 and 28
  Swap 64 and 28
  List after swap: [-85, -22, 28, 64, -51, 17, 21, -33, 99]
  Compare 64 and -51
  Swap 64 and -51
  List after swap: [-85, -22, 28, -51, 64, 17, 21, -33, 99]
  Compare 64 and 17
  Swap 64 and 17
  List after swap: [-85, -22, 28, -51, 17, 64, 21, -33, 99]
  Compare 64 and 21
  Swap 64 and 21
  List after swap: [-85, -22, 28, -51, 17, 21, 64, -33, 99]
  Compare 64 and -33
  Swap 64 and -33
  List after swap: [-85, -22, 28, -51, 17, 21, -33, 64, 99]

Pass 3:
  Compare -85 and -22
  No swap needed
  Compare -22 and 28
  No swap needed
  Compare 28 and -51
  Swap 28 and -51
  List after swap: [-85, -22, -51, 28, 17, 21, -33, 64, 99]
  Compare 28 and 17
  Swap 28 and 17
  List after swap: [-85, -22, -51, 17, 28, 21, -33, 64, 99]
  Compare 28 and 21
  Swap 28 and 21
  List after swap: [-85, -22, -51, 17, 21, 28, -33, 64, 99]
  Compare 28 and -33
  Swap 28 and -33
  List after swap: [-85, -22, -51, 17, 21, -33, 28, 64, 99]

Pass 4:
  Compare -85 and -22
  No swap needed
  Compare -22 and -51
  Swap -22 and -51
  List after swap: [-85, -51, -22, 17, 21, -33, 28, 64, 99]
  Compare -22 and 17
  No swap needed
  Compare 17 and 21
  No swap needed
  Compare 21 and -33
  Swap 21 and -33
  List after swap: [-85, -51, -22, 17, -33, 21, 28, 64, 99]

Pass 5:
  Compare -85 and -51
  No swap needed
  Compare -51 and -22
  No swap needed
  Compare -22 and 17
  No swap needed
  Compare 17 and -33
  Swap 17 and -33
  List after swap: [-85, -51, -22, -33, 17, 21, 28, 64, 99]

Pass 6:
  Compare -85 and -51
  No swap needed
  Compare -51 and -22
  No swap needed
  Compare -22 and -33
  Swap -22 and -33
  List after swap: [-85, -51, -33, -22, 17, 21, 28, 64, 99]

Pass 7:
  Compare -85 and -51
  No swap needed
  Compare -51 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -51, -33, -22, 17, 21, 28, 64, 99]
</think>

<response>-85, -51, -33, -22, 17, 21, 28, 64, 99</response>


input: Arrange the numbers 56, 15, 78, 72, -63, -70, -23, -32 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [56, 15, 78, 72, -63, -70, -23, -32]

Pass 1:
  Compare 56 and 15
  Swap 56 and 15
  List after swap: [15, 56, 78, 72, -63, -70, -23, -32]
  Compare 56 and 78
  No swap needed
  Compare 78 and 72
  Swap 78 and 72
  List after swap: [15, 56, 72, 78, -63, -70, -23, -32]
  Compare 78 and -63
  Swap 78 and -63
  List after swap: [15, 56, 72, -63, 78, -70, -23, -32]
  Compare 78 and -70
  Swap 78 and -70
  List after swap: [15, 56, 72, -63, -70, 78, -23, -32]
  Compare 78 and -23
  Swap 78 and -23
  List after swap: [15, 56, 72, -63, -70, -23, 78, -32]
  Compare 78 and -32
  Swap 78 and -32
  List after swap: [15, 56, 72, -63, -70, -23, -32, 78]

Pass 2:
  Compare 15 and 56
  No swap needed
  Compare 56 and 72
  No swap needed
  Compare 72 and -63
  Swap 72 and -63
  List after swap: [15, 56, -63, 72, -70, -23, -32, 78]
  Compare 72 and -70
  Swap 72 and -70
  List after swap: [15, 56, -63, -70, 72, -23, -32, 78]
  Compare 72 and -23
  Swap 72 and -23
  List after swap: [15, 56, -63, -70, -23, 72, -32, 78]
  Compare 72 and -32
  Swap 72 and -32
  List after swap: [15, 56, -63, -70, -23, -32, 72, 78]

Pass 3:
  Compare 15 and 56
  No swap needed
  Compare 56 and -63
  Swap 56 and -63
  List after swap: [15, -63, 56, -70, -23, -32, 72, 78]
  Compare 56 and -70
  Swap 56 and -70
  List after swap: [15, -63, -70, 56, -23, -32, 72, 78]
  Compare 56 and -23
  Swap 56 and -23
  List after swap: [15, -63, -70, -23, 56, -32, 72, 78]
  Compare 56 and -32
  Swap 56 and -32
  List after swap: [15, -63, -70, -23, -32, 56, 72, 78]

Pass 4:
  Compare 15 and -63
  Swap 15 and -63
  List after swap: [-63, 15, -70, -23, -32, 56, 72, 78]
  Compare 15 and -70
  Swap 15 and -70
  List after swap: [-63, -70, 15, -23, -32, 56, 72, 78]
  Compare 15 and -23
  Swap 15 and -23
  List after swap: [-63, -70, -23, 15, -32, 56, 72, 78]
  Compare 15 and -32
  Swap 15 and -32
  List after swap: [-63, -70, -23, -32, 15, 56, 72, 78]

Pass 5:
  Compare -63 and -70
  Swap -63 and -70
  List after swap: [-70, -63, -23, -32, 15, 56, 72, 78]
  Compare -63 and -23
  No swap needed
  Compare -23 and -32
  Swap -23 and -32
  List after swap: [-70, -63, -32, -23, 15, 56, 72, 78]

Pass 6:
  Compare -70 and -63
  No swap needed
  Compare -63 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -63, -32, -23, 15, 56, 72, 78]
</think>

<response>-70, -63, -32, -23, 15, 56, 72, 78</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 42, -47.

output:
<think>
Initial list: [42, -47]

Pass 1:
  Compare 42 and -47
  Swap 42 and -47
  List after swap: [-47, 42]

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

Final sorted list: [-47, 42]
</think>

<response>-47, 42</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 69, 88.

output:
<think>
Initial list: [69, 88]

Pass 1:
  Compare 69 and 88
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [69, 88]
</think>

<response>69, 88</response>


input: Execute bubble sort to sort 11, -78, -93, -47, -17, 41, 28, 60 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [11, -78, -93, -47, -17, 41, 28, 60]

Pass 1:
  Compare 11 and -78
  Swap 11 and -78
  List after swap: [-78, 11, -93, -47, -17, 41, 28, 60]
  Compare 11 and -93
  Swap 11 and -93
  List after swap: [-78, -93, 11, -47, -17, 41, 28, 60]
  Compare 11 and -47
  Swap 11 and -47
  List after swap: [-78, -93, -47, 11, -17, 41, 28, 60]
  Compare 11 and -17
  Swap 11 and -17
  List after swap: [-78, -93, -47, -17, 11, 41, 28, 60]
  Compare 11 and 41
  No swap needed
  Compare 41 and 28
  Swap 41 and 28
  List after swap: [-78, -93, -47, -17, 11, 28, 41, 60]
  Compare 41 and 60
  No swap needed

Pass 2:
  Compare -78 and -93
  Swap -78 and -93
  List after swap: [-93, -78, -47, -17, 11, 28, 41, 60]
  Compare -78 and -47
  No swap needed
  Compare -47 and -17
  No swap needed
  Compare -17 and 11
  No swap needed
  Compare 11 and 28
  No swap needed
  Compare 28 and 41
  No swap needed

Pass 3:
  Compare -93 and -78
  No swap needed
  Compare -78 and -47
  No swap needed
  Compare -47 and -17
  No swap needed
  Compare -17 and 11
  No swap needed
  Compare 11 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -78, -47, -17, 11, 28, 41, 60]
</think>

<response>-93, -78, -47, -17, 11, 28, 41, 60</response>


input: Execute bubble sort to sort 88, -84 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [88, -84]

Pass 1:
  Compare 88 and -84
  Swap 88 and -84
  List after swap: [-84, 88]

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

Final sorted list: [-84, 88]
</think>

<response>-84, 88</response>


input: Arrange the numbers -89, -71, 52, 82, 93, 97, 1, -3 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-89, -71, 52, 82, 93, 97, 1, -3]

Pass 1:
  Compare -89 and -71
  No swap needed
  Compare -71 and 52
  No swap needed
  Compare 52 and 82
  No swap needed
  Compare 82 and 93
  No swap needed
  Compare 93 and 97
  No swap needed
  Compare 97 and 1
  Swap 97 and 1
  List after swap: [-89, -71, 52, 82, 93, 1, 97, -3]
  Compare 97 and -3
  Swap 97 and -3
  List after swap: [-89, -71, 52, 82, 93, 1, -3, 97]

Pass 2:
  Compare -89 and -71
  No swap needed
  Compare -71 and 52
  No swap needed
  Compare 52 and 82
  No swap needed
  Compare 82 and 93
  No swap needed
  Compare 93 and 1
  Swap 93 and 1
  List after swap: [-89, -71, 52, 82, 1, 93, -3, 97]
  Compare 93 and -3
  Swap 93 and -3
  List after swap: [-89, -71, 52, 82, 1, -3, 93, 97]

Pass 3:
  Compare -89 and -71
  No swap needed
  Compare -71 and 52
  No swap needed
  Compare 52 and 82
  No swap needed
  Compare 82 and 1
  Swap 82 and 1
  List after swap: [-89, -71, 52, 1, 82, -3, 93, 97]
  Compare 82 and -3
  Swap 82 and -3
  List after swap: [-89, -71, 52, 1, -3, 82, 93, 97]

Pass 4:
  Compare -89 and -71
  No swap needed
  Compare -71 and 52
  No swap needed
  Compare 52 and 1
  Swap 52 and 1
  List after swap: [-89, -71, 1, 52, -3, 82, 93, 97]
  Compare 52 and -3
  Swap 52 and -3
  List after swap: [-89, -71, 1, -3, 52, 82, 93, 97]

Pass 5:
  Compare -89 and -71
  No swap needed
  Compare -71 and 1
  No swap needed
  Compare 1 and -3
  Swap 1 and -3
  List after swap: [-89, -71, -3, 1, 52, 82, 93, 97]

Pass 6:
  Compare -89 and -71
  No swap needed
  Compare -71 and -3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -71, -3, 1, 52, 82, 93, 97]
</think>

<response>-89, -71, -3, 1, 52, 82, 93, 97</response>


input: Execute bubble sort to sort 88, -27, -15, 64, -77, -40, 21, -36, 82 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [88, -27, -15, 64, -77, -40, 21, -36, 82]

Pass 1:
  Compare 88 and -27
  Swap 88 and -27
  List after swap: [-27, 88, -15, 64, -77, -40, 21, -36, 82]
  Compare 88 and -15
  Swap 88 and -15
  List after swap: [-27, -15, 88, 64, -77, -40, 21, -36, 82]
  Compare 88 and 64
  Swap 88 and 64
  List after swap: [-27, -15, 64, 88, -77, -40, 21, -36, 82]
  Compare 88 and -77
  Swap 88 and -77
  List after swap: [-27, -15, 64, -77, 88, -40, 21, -36, 82]
  Compare 88 and -40
  Swap 88 and -40
  List after swap: [-27, -15, 64, -77, -40, 88, 21, -36, 82]
  Compare 88 and 21
  Swap 88 and 21
  List after swap: [-27, -15, 64, -77, -40, 21, 88, -36, 82]
  Compare 88 and -36
  Swap 88 and -36
  List after swap: [-27, -15, 64, -77, -40, 21, -36, 88, 82]
  Compare 88 and 82
  Swap 88 and 82
  List after swap: [-27, -15, 64, -77, -40, 21, -36, 82, 88]

Pass 2:
  Compare -27 and -15
  No swap needed
  Compare -15 and 64
  No swap needed
  Compare 64 and -77
  Swap 64 and -77
  List after swap: [-27, -15, -77, 64, -40, 21, -36, 82, 88]
  Compare 64 and -40
  Swap 64 and -40
  List after swap: [-27, -15, -77, -40, 64, 21, -36, 82, 88]
  Compare 64 and 21
  Swap 64 and 21
  List after swap: [-27, -15, -77, -40, 21, 64, -36, 82, 88]
  Compare 64 and -36
  Swap 64 and -36
  List after swap: [-27, -15, -77, -40, 21, -36, 64, 82, 88]
  Compare 64 and 82
  No swap needed

Pass 3:
  Compare -27 and -15
  No swap needed
  Compare -15 and -77
  Swap -15 and -77
  List after swap: [-27, -77, -15, -40, 21, -36, 64, 82, 88]
  Compare -15 and -40
  Swap -15 and -40
  List after swap: [-27, -77, -40, -15, 21, -36, 64, 82, 88]
  Compare -15 and 21
  No swap needed
  Compare 21 and -36
  Swap 21 and -36
  List after swap: [-27, -77, -40, -15, -36, 21, 64, 82, 88]
  Compare 21 and 64
  No swap needed

Pass 4:
  Compare -27 and -77
  Swap -27 and -77
  List after swap: [-77, -27, -40, -15, -36, 21, 64, 82, 88]
  Compare -27 and -40
  Swap -27 and -40
  List after swap: [-77, -40, -27, -15, -36, 21, 64, 82, 88]
  Compare -27 and -15
  No swap needed
  Compare -15 and -36
  Swap -15 and -36
  List after swap: [-77, -40, -27, -36, -15, 21, 64, 82, 88]
  Compare -15 and 21
  No swap needed

Pass 5:
  Compare -77 and -40
  No swap needed
  Compare -40 and -27
  No swap needed
  Compare -27 and -36
  Swap -27 and -36
  List after swap: [-77, -40, -36, -27, -15, 21, 64, 82, 88]
  Compare -27 and -15
  No swap needed

Pass 6:
  Compare -77 and -40
  No swap needed
  Compare -40 and -36
  No swap needed
  Compare -36 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -40, -36, -27, -15, 21, 64, 82, 88]
</think>

<response>-77, -40, -36, -27, -15, 21, 64, 82, 88</response>


input: Use the bubble sort technique to reorder -42, 0, 57, 85, 26, -74, -57, -97, 14, -22 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-42, 0, 57, 85, 26, -74, -57, -97, 14, -22]

Pass 1:
  Compare -42 and 0
  No swap needed
  Compare 0 and 57
  No swap needed
  Compare 57 and 85
  No swap needed
  Compare 85 and 26
  Swap 85 and 26
  List after swap: [-42, 0, 57, 26, 85, -74, -57, -97, 14, -22]
  Compare 85 and -74
  Swap 85 and -74
  List after swap: [-42, 0, 57, 26, -74, 85, -57, -97, 14, -22]
  Compare 85 and -57
  Swap 85 and -57
  List after swap: [-42, 0, 57, 26, -74, -57, 85, -97, 14, -22]
  Compare 85 and -97
  Swap 85 and -97
  List after swap: [-42, 0, 57, 26, -74, -57, -97, 85, 14, -22]
  Compare 85 and 14
  Swap 85 and 14
  List after swap: [-42, 0, 57, 26, -74, -57, -97, 14, 85, -22]
  Compare 85 and -22
  Swap 85 and -22
  List after swap: [-42, 0, 57, 26, -74, -57, -97, 14, -22, 85]

Pass 2:
  Compare -42 and 0
  No swap needed
  Compare 0 and 57
  No swap needed
  Compare 57 and 26
  Swap 57 and 26
  List after swap: [-42, 0, 26, 57, -74, -57, -97, 14, -22, 85]
  Compare 57 and -74
  Swap 57 and -74
  List after swap: [-42, 0, 26, -74, 57, -57, -97, 14, -22, 85]
  Compare 57 and -57
  Swap 57 and -57
  List after swap: [-42, 0, 26, -74, -57, 57, -97, 14, -22, 85]
  Compare 57 and -97
  Swap 57 and -97
  List after swap: [-42, 0, 26, -74, -57, -97, 57, 14, -22, 85]
  Compare 57 and 14
  Swap 57 and 14
  List after swap: [-42, 0, 26, -74, -57, -97, 14, 57, -22, 85]
  Compare 57 and -22
  Swap 57 and -22
  List after swap: [-42, 0, 26, -74, -57, -97, 14, -22, 57, 85]

Pass 3:
  Compare -42 and 0
  No swap needed
  Compare 0 and 26
  No swap needed
  Compare 26 and -74
  Swap 26 and -74
  List after swap: [-42, 0, -74, 26, -57, -97, 14, -22, 57, 85]
  Compare 26 and -57
  Swap 26 and -57
  List after swap: [-42, 0, -74, -57, 26, -97, 14, -22, 57, 85]
  Compare 26 and -97
  Swap 26 and -97
  List after swap: [-42, 0, -74, -57, -97, 26, 14, -22, 57, 85]
  Compare 26 and 14
  Swap 26 and 14
  List after swap: [-42, 0, -74, -57, -97, 14, 26, -22, 57, 85]
  Compare 26 and -22
  Swap 26 and -22
  List after swap: [-42, 0, -74, -57, -97, 14, -22, 26, 57, 85]

Pass 4:
  Compare -42 and 0
  No swap needed
  Compare 0 and -74
  Swap 0 and -74
  List after swap: [-42, -74, 0, -57, -97, 14, -22, 26, 57, 85]
  Compare 0 and -57
  Swap 0 and -57
  List after swap: [-42, -74, -57, 0, -97, 14, -22, 26, 57, 85]
  Compare 0 and -97
  Swap 0 and -97
  List after swap: [-42, -74, -57, -97, 0, 14, -22, 26, 57, 85]
  Compare 0 and 14
  No swap needed
  Compare 14 and -22
  Swap 14 and -22
  List after swap: [-42, -74, -57, -97, 0, -22, 14, 26, 57, 85]

Pass 5:
  Compare -42 and -74
  Swap -42 and -74
  List after swap: [-74, -42, -57, -97, 0, -22, 14, 26, 57, 85]
  Compare -42 and -57
  Swap -42 and -57
  List after swap: [-74, -57, -42, -97, 0, -22, 14, 26, 57, 85]
  Compare -42 and -97
  Swap -42 and -97
  List after swap: [-74, -57, -97, -42, 0, -22, 14, 26, 57, 85]
  Compare -42 and 0
  No swap needed
  Compare 0 and -22
  Swap 0 and -22
  List after swap: [-74, -57, -97, -42, -22, 0, 14, 26, 57, 85]

Pass 6:
  Compare -74 and -57
  No swap needed
  Compare -57 and -97
  Swap -57 and -97
  List after swap: [-74, -97, -57, -42, -22, 0, 14, 26, 57, 85]
  Compare -57 and -42
  No swap needed
  Compare -42 and -22
  No swap needed

Pass 7:
  Compare -74 and -97
  Swap -74 and -97
  List after swap: [-97, -74, -57, -42, -22, 0, 14, 26, 57, 85]
  Compare -74 and -57
  No swap needed
  Compare -57 and -42
  No swap needed

Pass 8:
  Compare -97 and -74
  No swap needed
  Compare -74 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -74, -57, -42, -22, 0, 14, 26, 57, 85]
</think>

<response>-97, -74, -57, -42, -22, 0, 14, 26, 57, 85</response>


input: Demonstrate how bubble sort orders the integers 60, 56, 42, -24, -43, 61, -70, 32 in ascending sequence, showing all steps.

output:
<think>
Initial list: [60, 56, 42, -24, -43, 61, -70, 32]

Pass 1:
  Compare 60 and 56
  Swap 60 and 56
  List after swap: [56, 60, 42, -24, -43, 61, -70, 32]
  Compare 60 and 42
  Swap 60 and 42
  List after swap: [56, 42, 60, -24, -43, 61, -70, 32]
  Compare 60 and -24
  Swap 60 and -24
  List after swap: [56, 42, -24, 60, -43, 61, -70, 32]
  Compare 60 and -43
  Swap 60 and -43
  List after swap: [56, 42, -24, -43, 60, 61, -70, 32]
  Compare 60 and 61
  No swap needed
  Compare 61 and -70
  Swap 61 and -70
  List after swap: [56, 42, -24, -43, 60, -70, 61, 32]
  Compare 61 and 32
  Swap 61 and 32
  List after swap: [56, 42, -24, -43, 60, -70, 32, 61]

Pass 2:
  Compare 56 and 42
  Swap 56 and 42
  List after swap: [42, 56, -24, -43, 60, -70, 32, 61]
  Compare 56 and -24
  Swap 56 and -24
  List after swap: [42, -24, 56, -43, 60, -70, 32, 61]
  Compare 56 and -43
  Swap 56 and -43
  List after swap: [42, -24, -43, 56, 60, -70, 32, 61]
  Compare 56 and 60
  No swap needed
  Compare 60 and -70
  Swap 60 and -70
  List after swap: [42, -24, -43, 56, -70, 60, 32, 61]
  Compare 60 and 32
  Swap 60 and 32
  List after swap: [42, -24, -43, 56, -70, 32, 60, 61]

Pass 3:
  Compare 42 and -24
  Swap 42 and -24
  List after swap: [-24, 42, -43, 56, -70, 32, 60, 61]
  Compare 42 and -43
  Swap 42 and -43
  List after swap: [-24, -43, 42, 56, -70, 32, 60, 61]
  Compare 42 and 56
  No swap needed
  Compare 56 and -70
  Swap 56 and -70
  List after swap: [-24, -43, 42, -70, 56, 32, 60, 61]
  Compare 56 and 32
  Swap 56 and 32
  List after swap: [-24, -43, 42, -70, 32, 56, 60, 61]

Pass 4:
  Compare -24 and -43
  Swap -24 and -43
  List after swap: [-43, -24, 42, -70, 32, 56, 60, 61]
  Compare -24 and 42
  No swap needed
  Compare 42 and -70
  Swap 42 and -70
  List after swap: [-43, -24, -70, 42, 32, 56, 60, 61]
  Compare 42 and 32
  Swap 42 and 32
  List after swap: [-43, -24, -70, 32, 42, 56, 60, 61]

Pass 5:
  Compare -43 and -24
  No swap needed
  Compare -24 and -70
  Swap -24 and -70
  List after swap: [-43, -70, -24, 32, 42, 56, 60, 61]
  Compare -24 and 32
  No swap needed

Pass 6:
  Compare -43 and -70
  Swap -43 and -70
  List after swap: [-70, -43, -24, 32, 42, 56, 60, 61]
  Compare -43 and -24
  No swap needed

Pass 7:
  Compare -70 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -43, -24, 32, 42, 56, 60, 61]
</think>

<response>-70, -43, -24, 32, 42, 56, 60, 61</response>


input: Carry out the bubble sort algorithm on -41, 6, -86, 83, 74, 59, -79, 10, 65 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-41, 6, -86, 83, 74, 59, -79, 10, 65]

Pass 1:
  Compare -41 and 6
  No swap needed
  Compare 6 and -86
  Swap 6 and -86
  List after swap: [-41, -86, 6, 83, 74, 59, -79, 10, 65]
  Compare 6 and 83
  No swap needed
  Compare 83 and 74
  Swap 83 and 74
  List after swap: [-41, -86, 6, 74, 83, 59, -79, 10, 65]
  Compare 83 and 59
  Swap 83 and 59
  List after swap: [-41, -86, 6, 74, 59, 83, -79, 10, 65]
  Compare 83 and -79
  Swap 83 and -79
  List after swap: [-41, -86, 6, 74, 59, -79, 83, 10, 65]
  Compare 83 and 10
  Swap 83 and 10
  List after swap: [-41, -86, 6, 74, 59, -79, 10, 83, 65]
  Compare 83 and 65
  Swap 83 and 65
  List after swap: [-41, -86, 6, 74, 59, -79, 10, 65, 83]

Pass 2:
  Compare -41 and -86
  Swap -41 and -86
  List after swap: [-86, -41, 6, 74, 59, -79, 10, 65, 83]
  Compare -41 and 6
  No swap needed
  Compare 6 and 74
  No swap needed
  Compare 74 and 59
  Swap 74 and 59
  List after swap: [-86, -41, 6, 59, 74, -79, 10, 65, 83]
  Compare 74 and -79
  Swap 74 and -79
  List after swap: [-86, -41, 6, 59, -79, 74, 10, 65, 83]
  Compare 74 and 10
  Swap 74 and 10
  List after swap: [-86, -41, 6, 59, -79, 10, 74, 65, 83]
  Compare 74 and 65
  Swap 74 and 65
  List after swap: [-86, -41, 6, 59, -79, 10, 65, 74, 83]

Pass 3:
  Compare -86 and -41
  No swap needed
  Compare -41 and 6
  No swap needed
  Compare 6 and 59
  No swap needed
  Compare 59 and -79
  Swap 59 and -79
  List after swap: [-86, -41, 6, -79, 59, 10, 65, 74, 83]
  Compare 59 and 10
  Swap 59 and 10
  List after swap: [-86, -41, 6, -79, 10, 59, 65, 74, 83]
  Compare 59 and 65
  No swap needed

Pass 4:
  Compare -86 and -41
  No swap needed
  Compare -41 and 6
  No swap needed
  Compare 6 and -79
  Swap 6 and -79
  List after swap: [-86, -41, -79, 6, 10, 59, 65, 74, 83]
  Compare 6 and 10
  No swap needed
  Compare 10 and 59
  No swap needed

Pass 5:
  Compare -86 and -41
  No swap needed
  Compare -41 and -79
  Swap -41 and -79
  List after swap: [-86, -79, -41, 6, 10, 59, 65, 74, 83]
  Compare -41 and 6
  No swap needed
  Compare 6 and 10
  No swap needed

Pass 6:
  Compare -86 and -79
  No swap needed
  Compare -79 and -41
  No swap needed
  Compare -41 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -79, -41, 6, 10, 59, 65, 74, 83]
</think>

<response>-86, -79, -41, 6, 10, 59, 65, 74, 83</response>


input: Demonstrate how bubble sort orders the integers -36, 51, 15, -58, 4, 36 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-36, 51, 15, -58, 4, 36]

Pass 1:
  Compare -36 and 51
  No swap needed
  Compare 51 and 15
  Swap 51 and 15
  List after swap: [-36, 15, 51, -58, 4, 36]
  Compare 51 and -58
  Swap 51 and -58
  List after swap: [-36, 15, -58, 51, 4, 36]
  Compare 51 and 4
  Swap 51 and 4
  List after swap: [-36, 15, -58, 4, 51, 36]
  Compare 51 and 36
  Swap 51 and 36
  List after swap: [-36, 15, -58, 4, 36, 51]

Pass 2:
  Compare -36 and 15
  No swap needed
  Compare 15 and -58
  Swap 15 and -58
  List after swap: [-36, -58, 15, 4, 36, 51]
  Compare 15 and 4
  Swap 15 and 4
  List after swap: [-36, -58, 4, 15, 36, 51]
  Compare 15 and 36
  No swap needed

Pass 3:
  Compare -36 and -58
  Swap -36 and -58
  List after swap: [-58, -36, 4, 15, 36, 51]
  Compare -36 and 4
  No swap needed
  Compare 4 and 15
  No swap needed

Pass 4:
  Compare -58 and -36
  No swap needed
  Compare -36 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -36, 4, 15, 36, 51]
</think>

<response>-58, -36, 4, 15, 36, 51</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -18, 95, -93, 93, -39, -79, -6, 77.

output:
<think>
Initial list: [-18, 95, -93, 93, -39, -79, -6, 77]

Pass 1:
  Compare -18 and 95
  No swap needed
  Compare 95 and -93
  Swap 95 and -93
  List after swap: [-18, -93, 95, 93, -39, -79, -6, 77]
  Compare 95 and 93
  Swap 95 and 93
  List after swap: [-18, -93, 93, 95, -39, -79, -6, 77]
  Compare 95 and -39
  Swap 95 and -39
  List after swap: [-18, -93, 93, -39, 95, -79, -6, 77]
  Compare 95 and -79
  Swap 95 and -79
  List after swap: [-18, -93, 93, -39, -79, 95, -6, 77]
  Compare 95 and -6
  Swap 95 and -6
  List after swap: [-18, -93, 93, -39, -79, -6, 95, 77]
  Compare 95 and 77
  Swap 95 and 77
  List after swap: [-18, -93, 93, -39, -79, -6, 77, 95]

Pass 2:
  Compare -18 and -93
  Swap -18 and -93
  List after swap: [-93, -18, 93, -39, -79, -6, 77, 95]
  Compare -18 and 93
  No swap needed
  Compare 93 and -39
  Swap 93 and -39
  List after swap: [-93, -18, -39, 93, -79, -6, 77, 95]
  Compare 93 and -79
  Swap 93 and -79
  List after swap: [-93, -18, -39, -79, 93, -6, 77, 95]
  Compare 93 and -6
  Swap 93 and -6
  List after swap: [-93, -18, -39, -79, -6, 93, 77, 95]
  Compare 93 and 77
  Swap 93 and 77
  List after swap: [-93, -18, -39, -79, -6, 77, 93, 95]

Pass 3:
  Compare -93 and -18
  No swap needed
  Compare -18 and -39
  Swap -18 and -39
  List after swap: [-93, -39, -18, -79, -6, 77, 93, 95]
  Compare -18 and -79
  Swap -18 and -79
  List after swap: [-93, -39, -79, -18, -6, 77, 93, 95]
  Compare -18 and -6
  No swap needed
  Compare -6 and 77
  No swap needed

Pass 4:
  Compare -93 and -39
  No swap needed
  Compare -39 and -79
  Swap -39 and -79
  List after swap: [-93, -79, -39, -18, -6, 77, 93, 95]
  Compare -39 and -18
  No swap needed
  Compare -18 and -6
  No swap needed

Pass 5:
  Compare -93 and -79
  No swap needed
  Compare -79 and -39
  No swap needed
  Compare -39 and -18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -79, -39, -18, -6, 77, 93, 95]
</think>

<response>-93, -79, -39, -18, -6, 77, 93, 95</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -66, -58, 4, 92, 14, 40, 7, -91, -17.

output:
<think>
Initial list: [-66, -58, 4, 92, 14, 40, 7, -91, -17]

Pass 1:
  Compare -66 and -58
  No swap needed
  Compare -58 and 4
  No swap needed
  Compare 4 and 92
  No swap needed
  Compare 92 and 14
  Swap 92 and 14
  List after swap: [-66, -58, 4, 14, 92, 40, 7, -91, -17]
  Compare 92 and 40
  Swap 92 and 40
  List after swap: [-66, -58, 4, 14, 40, 92, 7, -91, -17]
  Compare 92 and 7
  Swap 92 and 7
  List after swap: [-66, -58, 4, 14, 40, 7, 92, -91, -17]
  Compare 92 and -91
  Swap 92 and -91
  List after swap: [-66, -58, 4, 14, 40, 7, -91, 92, -17]
  Compare 92 and -17
  Swap 92 and -17
  List after swap: [-66, -58, 4, 14, 40, 7, -91, -17, 92]

Pass 2:
  Compare -66 and -58
  No swap needed
  Compare -58 and 4
  No swap needed
  Compare 4 and 14
  No swap needed
  Compare 14 and 40
  No swap needed
  Compare 40 and 7
  Swap 40 and 7
  List after swap: [-66, -58, 4, 14, 7, 40, -91, -17, 92]
  Compare 40 and -91
  Swap 40 and -91
  List after swap: [-66, -58, 4, 14, 7, -91, 40, -17, 92]
  Compare 40 and -17
  Swap 40 and -17
  List after swap: [-66, -58, 4, 14, 7, -91, -17, 40, 92]

Pass 3:
  Compare -66 and -58
  No swap needed
  Compare -58 and 4
  No swap needed
  Compare 4 and 14
  No swap needed
  Compare 14 and 7
  Swap 14 and 7
  List after swap: [-66, -58, 4, 7, 14, -91, -17, 40, 92]
  Compare 14 and -91
  Swap 14 and -91
  List after swap: [-66, -58, 4, 7, -91, 14, -17, 40, 92]
  Compare 14 and -17
  Swap 14 and -17
  List after swap: [-66, -58, 4, 7, -91, -17, 14, 40, 92]

Pass 4:
  Compare -66 and -58
  No swap needed
  Compare -58 and 4
  No swap needed
  Compare 4 and 7
  No swap needed
  Compare 7 and -91
  Swap 7 and -91
  List after swap: [-66, -58, 4, -91, 7, -17, 14, 40, 92]
  Compare 7 and -17
  Swap 7 and -17
  List after swap: [-66, -58, 4, -91, -17, 7, 14, 40, 92]

Pass 5:
  Compare -66 and -58
  No swap needed
  Compare -58 and 4
  No swap needed
  Compare 4 and -91
  Swap 4 and -91
  List after swap: [-66, -58, -91, 4, -17, 7, 14, 40, 92]
  Compare 4 and -17
  Swap 4 and -17
  List after swap: [-66, -58, -91, -17, 4, 7, 14, 40, 92]

Pass 6:
  Compare -66 and -58
  No swap needed
  Compare -58 and -91
  Swap -58 and -91
  List after swap: [-66, -91, -58, -17, 4, 7, 14, 40, 92]
  Compare -58 and -17
  No swap needed

Pass 7:
  Compare -66 and -91
  Swap -66 and -91
  List after swap: [-91, -66, -58, -17, 4, 7, 14, 40, 92]
  Compare -66 and -58
  No swap needed

Pass 8:
  Compare -91 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -66, -58, -17, 4, 7, 14, 40, 92]
</think>

<response>-91, -66, -58, -17, 4, 7, 14, 40, 92</response>


input: Using the bubble sort method, sort -18, -53 from lowest to highest and provide a step-by-step breakdown.

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

Pass 1:
  Compare -18 and -53
  Swap -18 and -53
  List after swap: [-53, -18]

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

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

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


input: Sort these integers -46, 92, -80, 45, -31, -39, -58, 66 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-46, 92, -80, 45, -31, -39, -58, 66]

Pass 1:
  Compare -46 and 92
  No swap needed
  Compare 92 and -80
  Swap 92 and -80
  List after swap: [-46, -80, 92, 45, -31, -39, -58, 66]
  Compare 92 and 45
  Swap 92 and 45
  List after swap: [-46, -80, 45, 92, -31, -39, -58, 66]
  Compare 92 and -31
  Swap 92 and -31
  List after swap: [-46, -80, 45, -31, 92, -39, -58, 66]
  Compare 92 and -39
  Swap 92 and -39
  List after swap: [-46, -80, 45, -31, -39, 92, -58, 66]
  Compare 92 and -58
  Swap 92 and -58
  List after swap: [-46, -80, 45, -31, -39, -58, 92, 66]
  Compare 92 and 66
  Swap 92 and 66
  List after swap: [-46, -80, 45, -31, -39, -58, 66, 92]

Pass 2:
  Compare -46 and -80
  Swap -46 and -80
  List after swap: [-80, -46, 45, -31, -39, -58, 66, 92]
  Compare -46 and 45
  No swap needed
  Compare 45 and -31
  Swap 45 and -31
  List after swap: [-80, -46, -31, 45, -39, -58, 66, 92]
  Compare 45 and -39
  Swap 45 and -39
  List after swap: [-80, -46, -31, -39, 45, -58, 66, 92]
  Compare 45 and -58
  Swap 45 and -58
  List after swap: [-80, -46, -31, -39, -58, 45, 66, 92]
  Compare 45 and 66
  No swap needed

Pass 3:
  Compare -80 and -46
  No swap needed
  Compare -46 and -31
  No swap needed
  Compare -31 and -39
  Swap -31 and -39
  List after swap: [-80, -46, -39, -31, -58, 45, 66, 92]
  Compare -31 and -58
  Swap -31 and -58
  List after swap: [-80, -46, -39, -58, -31, 45, 66, 92]
  Compare -31 and 45
  No swap needed

Pass 4:
  Compare -80 and -46
  No swap needed
  Compare -46 and -39
  No swap needed
  Compare -39 and -58
  Swap -39 and -58
  List after swap: [-80, -46, -58, -39, -31, 45, 66, 92]
  Compare -39 and -31
  No swap needed

Pass 5:
  Compare -80 and -46
  No swap needed
  Compare -46 and -58
  Swap -46 and -58
  List after swap: [-80, -58, -46, -39, -31, 45, 66, 92]
  Compare -46 and -39
  No swap needed

Pass 6:
  Compare -80 and -58
  No swap needed
  Compare -58 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -58, -46, -39, -31, 45, 66, 92]
</think>

<response>-80, -58, -46, -39, -31, 45, 66, 92</response>


input: Use the bubble sort technique to reorder -50, 54, -27, 15, -57, 49, -40, 11 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-50, 54, -27, 15, -57, 49, -40, 11]

Pass 1:
  Compare -50 and 54
  No swap needed
  Compare 54 and -27
  Swap 54 and -27
  List after swap: [-50, -27, 54, 15, -57, 49, -40, 11]
  Compare 54 and 15
  Swap 54 and 15
  List after swap: [-50, -27, 15, 54, -57, 49, -40, 11]
  Compare 54 and -57
  Swap 54 and -57
  List after swap: [-50, -27, 15, -57, 54, 49, -40, 11]
  Compare 54 and 49
  Swap 54 and 49
  List after swap: [-50, -27, 15, -57, 49, 54, -40, 11]
  Compare 54 and -40
  Swap 54 and -40
  List after swap: [-50, -27, 15, -57, 49, -40, 54, 11]
  Compare 54 and 11
  Swap 54 and 11
  List after swap: [-50, -27, 15, -57, 49, -40, 11, 54]

Pass 2:
  Compare -50 and -27
  No swap needed
  Compare -27 and 15
  No swap needed
  Compare 15 and -57
  Swap 15 and -57
  List after swap: [-50, -27, -57, 15, 49, -40, 11, 54]
  Compare 15 and 49
  No swap needed
  Compare 49 and -40
  Swap 49 and -40
  List after swap: [-50, -27, -57, 15, -40, 49, 11, 54]
  Compare 49 and 11
  Swap 49 and 11
  List after swap: [-50, -27, -57, 15, -40, 11, 49, 54]

Pass 3:
  Compare -50 and -27
  No swap needed
  Compare -27 and -57
  Swap -27 and -57
  List after swap: [-50, -57, -27, 15, -40, 11, 49, 54]
  Compare -27 and 15
  No swap needed
  Compare 15 and -40
  Swap 15 and -40
  List after swap: [-50, -57, -27, -40, 15, 11, 49, 54]
  Compare 15 and 11
  Swap 15 and 11
  List after swap: [-50, -57, -27, -40, 11, 15, 49, 54]

Pass 4:
  Compare -50 and -57
  Swap -50 and -57
  List after swap: [-57, -50, -27, -40, 11, 15, 49, 54]
  Compare -50 and -27
  No swap needed
  Compare -27 and -40
  Swap -27 and -40
  List after swap: [-57, -50, -40, -27, 11, 15, 49, 54]
  Compare -27 and 11
  No swap needed

Pass 5:
  Compare -57 and -50
  No swap needed
  Compare -50 and -40
  No swap needed
  Compare -40 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, -50, -40, -27, 11, 15, 49, 54]
</think>

<response>-57, -50, -40, -27, 11, 15, 49, 54</response>


input: Use the bubble sort technique to reorder -95, 28, 58, 10, 95, -62 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-95, 28, 58, 10, 95, -62]

Pass 1:
  Compare -95 and 28
  No swap needed
  Compare 28 and 58
  No swap needed
  Compare 58 and 10
  Swap 58 and 10
  List after swap: [-95, 28, 10, 58, 95, -62]
  Compare 58 and 95
  No swap needed
  Compare 95 and -62
  Swap 95 and -62
  List after swap: [-95, 28, 10, 58, -62, 95]

Pass 2:
  Compare -95 and 28
  No swap needed
  Compare 28 and 10
  Swap 28 and 10
  List after swap: [-95, 10, 28, 58, -62, 95]
  Compare 28 and 58
  No swap needed
  Compare 58 and -62
  Swap 58 and -62
  List after swap: [-95, 10, 28, -62, 58, 95]

Pass 3:
  Compare -95 and 10
  No swap needed
  Compare 10 and 28
  No swap needed
  Compare 28 and -62
  Swap 28 and -62
  List after swap: [-95, 10, -62, 28, 58, 95]

Pass 4:
  Compare -95 and 10
  No swap needed
  Compare 10 and -62
  Swap 10 and -62
  List after swap: [-95, -62, 10, 28, 58, 95]

Pass 5:
  Compare -95 and -62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -62, 10, 28, 58, 95]
</think>

<response>-95, -62, 10, 28, 58, 95</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -3, 88, -85, -5, -6, -4, 14, -100.

output:
<think>
Initial list: [-3, 88, -85, -5, -6, -4, 14, -100]

Pass 1:
  Compare -3 and 88
  No swap needed
  Compare 88 and -85
  Swap 88 and -85
  List after swap: [-3, -85, 88, -5, -6, -4, 14, -100]
  Compare 88 and -5
  Swap 88 and -5
  List after swap: [-3, -85, -5, 88, -6, -4, 14, -100]
  Compare 88 and -6
  Swap 88 and -6
  List after swap: [-3, -85, -5, -6, 88, -4, 14, -100]
  Compare 88 and -4
  Swap 88 and -4
  List after swap: [-3, -85, -5, -6, -4, 88, 14, -100]
  Compare 88 and 14
  Swap 88 and 14
  List after swap: [-3, -85, -5, -6, -4, 14, 88, -100]
  Compare 88 and -100
  Swap 88 and -100
  List after swap: [-3, -85, -5, -6, -4, 14, -100, 88]

Pass 2:
  Compare -3 and -85
  Swap -3 and -85
  List after swap: [-85, -3, -5, -6, -4, 14, -100, 88]
  Compare -3 and -5
  Swap -3 and -5
  List after swap: [-85, -5, -3, -6, -4, 14, -100, 88]
  Compare -3 and -6
  Swap -3 and -6
  List after swap: [-85, -5, -6, -3, -4, 14, -100, 88]
  Compare -3 and -4
  Swap -3 and -4
  List after swap: [-85, -5, -6, -4, -3, 14, -100, 88]
  Compare -3 and 14
  No swap needed
  Compare 14 and -100
  Swap 14 and -100
  List after swap: [-85, -5, -6, -4, -3, -100, 14, 88]

Pass 3:
  Compare -85 and -5
  No swap needed
  Compare -5 and -6
  Swap -5 and -6
  List after swap: [-85, -6, -5, -4, -3, -100, 14, 88]
  Compare -5 and -4
  No swap needed
  Compare -4 and -3
  No swap needed
  Compare -3 and -100
  Swap -3 and -100
  List after swap: [-85, -6, -5, -4, -100, -3, 14, 88]

Pass 4:
  Compare -85 and -6
  No swap needed
  Compare -6 and -5
  No swap needed
  Compare -5 and -4
  No swap needed
  Compare -4 and -100
  Swap -4 and -100
  List after swap: [-85, -6, -5, -100, -4, -3, 14, 88]

Pass 5:
  Compare -85 and -6
  No swap needed
  Compare -6 and -5
  No swap needed
  Compare -5 and -100
  Swap -5 and -100
  List after swap: [-85, -6, -100, -5, -4, -3, 14, 88]

Pass 6:
  Compare -85 and -6
  No swap needed
  Compare -6 and -100
  Swap -6 and -100
  List after swap: [-85, -100, -6, -5, -4, -3, 14, 88]

Pass 7:
  Compare -85 and -100
  Swap -85 and -100
  List after swap: [-100, -85, -6, -5, -4, -3, 14, 88]

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

Final sorted list: [-100, -85, -6, -5, -4, -3, 14, 88]
</think>

<response>-100, -85, -6, -5, -4, -3, 14, 88</response>


input: Carry out the bubble sort algorithm on -36, -12, -56, -90, -23, 31, 82 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-36, -12, -56, -90, -23, 31, 82]

Pass 1:
  Compare -36 and -12
  No swap needed
  Compare -12 and -56
  Swap -12 and -56
  List after swap: [-36, -56, -12, -90, -23, 31, 82]
  Compare -12 and -90
  Swap -12 and -90
  List after swap: [-36, -56, -90, -12, -23, 31, 82]
  Compare -12 and -23
  Swap -12 and -23
  List after swap: [-36, -56, -90, -23, -12, 31, 82]
  Compare -12 and 31
  No swap needed
  Compare 31 and 82
  No swap needed

Pass 2:
  Compare -36 and -56
  Swap -36 and -56
  List after swap: [-56, -36, -90, -23, -12, 31, 82]
  Compare -36 and -90
  Swap -36 and -90
  List after swap: [-56, -90, -36, -23, -12, 31, 82]
  Compare -36 and -23
  No swap needed
  Compare -23 and -12
  No swap needed
  Compare -12 and 31
  No swap needed

Pass 3:
  Compare -56 and -90
  Swap -56 and -90
  List after swap: [-90, -56, -36, -23, -12, 31, 82]
  Compare -56 and -36
  No swap needed
  Compare -36 and -23
  No swap needed
  Compare -23 and -12
  No swap needed

Pass 4:
  Compare -90 and -56
  No swap needed
  Compare -56 and -36
  No swap needed
  Compare -36 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -56, -36, -23, -12, 31, 82]
</think>

<response>-90, -56, -36, -23, -12, 31, 82</response>


input: Execute bubble sort to sort 48, 70, 88, -68, 71, -20 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [48, 70, 88, -68, 71, -20]

Pass 1:
  Compare 48 and 70
  No swap needed
  Compare 70 and 88
  No swap needed
  Compare 88 and -68
  Swap 88 and -68
  List after swap: [48, 70, -68, 88, 71, -20]
  Compare 88 and 71
  Swap 88 and 71
  List after swap: [48, 70, -68, 71, 88, -20]
  Compare 88 and -20
  Swap 88 and -20
  List after swap: [48, 70, -68, 71, -20, 88]

Pass 2:
  Compare 48 and 70
  No swap needed
  Compare 70 and -68
  Swap 70 and -68
  List after swap: [48, -68, 70, 71, -20, 88]
  Compare 70 and 71
  No swap needed
  Compare 71 and -20
  Swap 71 and -20
  List after swap: [48, -68, 70, -20, 71, 88]

Pass 3:
  Compare 48 and -68
  Swap 48 and -68
  List after swap: [-68, 48, 70, -20, 71, 88]
  Compare 48 and 70
  No swap needed
  Compare 70 and -20
  Swap 70 and -20
  List after swap: [-68, 48, -20, 70, 71, 88]

Pass 4:
  Compare -68 and 48
  No swap needed
  Compare 48 and -20
  Swap 48 and -20
  List after swap: [-68, -20, 48, 70, 71, 88]

Pass 5:
  Compare -68 and -20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -20, 48, 70, 71, 88]
</think>

<response>-68, -20, 48, 70, 71, 88</response>


input: Carry out the bubble sort algorithm on 94, 85, -39, -47, -19, 37 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [94, 85, -39, -47, -19, 37]

Pass 1:
  Compare 94 and 85
  Swap 94 and 85
  List after swap: [85, 94, -39, -47, -19, 37]
  Compare 94 and -39
  Swap 94 and -39
  List after swap: [85, -39, 94, -47, -19, 37]
  Compare 94 and -47
  Swap 94 and -47
  List after swap: [85, -39, -47, 94, -19, 37]
  Compare 94 and -19
  Swap 94 and -19
  List after swap: [85, -39, -47, -19, 94, 37]
  Compare 94 and 37
  Swap 94 and 37
  List after swap: [85, -39, -47, -19, 37, 94]

Pass 2:
  Compare 85 and -39
  Swap 85 and -39
  List after swap: [-39, 85, -47, -19, 37, 94]
  Compare 85 and -47
  Swap 85 and -47
  List after swap: [-39, -47, 85, -19, 37, 94]
  Compare 85 and -19
  Swap 85 and -19
  List after swap: [-39, -47, -19, 85, 37, 94]
  Compare 85 and 37
  Swap 85 and 37
  List after swap: [-39, -47, -19, 37, 85, 94]

Pass 3:
  Compare -39 and -47
  Swap -39 and -47
  List after swap: [-47, -39, -19, 37, 85, 94]
  Compare -39 and -19
  No swap needed
  Compare -19 and 37
  No swap needed

Pass 4:
  Compare -47 and -39
  No swap needed
  Compare -39 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-47, -39, -19, 37, 85, 94]
</think>

<response>-47, -39, -19, 37, 85, 94</response>


input: Sort these integers -48, -25, 73, 57 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-48, -25, 73, 57]

Pass 1:
  Compare -48 and -25
  No swap needed
  Compare -25 and 73
  No swap needed
  Compare 73 and 57
  Swap 73 and 57
  List after swap: [-48, -25, 57, 73]

Pass 2:
  Compare -48 and -25
  No swap needed
  Compare -25 and 57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-48, -25, 57, 73]
</think>

<response>-48, -25, 57, 73</response>


input: Carry out the bubble sort algorithm on 56, -84, 8, -31, 28, -63 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [56, -84, 8, -31, 28, -63]

Pass 1:
  Compare 56 and -84
  Swap 56 and -84
  List after swap: [-84, 56, 8, -31, 28, -63]
  Compare 56 and 8
  Swap 56 and 8
  List after swap: [-84, 8, 56, -31, 28, -63]
  Compare 56 and -31
  Swap 56 and -31
  List after swap: [-84, 8, -31, 56, 28, -63]
  Compare 56 and 28
  Swap 56 and 28
  List after swap: [-84, 8, -31, 28, 56, -63]
  Compare 56 and -63
  Swap 56 and -63
  List after swap: [-84, 8, -31, 28, -63, 56]

Pass 2:
  Compare -84 and 8
  No swap needed
  Compare 8 and -31
  Swap 8 and -31
  List after swap: [-84, -31, 8, 28, -63, 56]
  Compare 8 and 28
  No swap needed
  Compare 28 and -63
  Swap 28 and -63
  List after swap: [-84, -31, 8, -63, 28, 56]

Pass 3:
  Compare -84 and -31
  No swap needed
  Compare -31 and 8
  No swap needed
  Compare 8 and -63
  Swap 8 and -63
  List after swap: [-84, -31, -63, 8, 28, 56]

Pass 4:
  Compare -84 and -31
  No swap needed
  Compare -31 and -63
  Swap -31 and -63
  List after swap: [-84, -63, -31, 8, 28, 56]

Pass 5:
  Compare -84 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -63, -31, 8, 28, 56]
</think>

<response>-84, -63, -31, 8, 28, 56</response>


input: Carry out the bubble sort algorithm on -30, 35 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-30, 35]

Pass 1:
  Compare -30 and 35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-30, 35]
</think>

<response>-30, 35</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 67, -77, 19, -42, -28, 41, -56, -35, 17, -70.

output:
<think>
Initial list: [67, -77, 19, -42, -28, 41, -56, -35, 17, -70]

Pass 1:
  Compare 67 and -77
  Swap 67 and -77
  List after swap: [-77, 67, 19, -42, -28, 41, -56, -35, 17, -70]
  Compare 67 and 19
  Swap 67 and 19
  List after swap: [-77, 19, 67, -42, -28, 41, -56, -35, 17, -70]
  Compare 67 and -42
  Swap 67 and -42
  List after swap: [-77, 19, -42, 67, -28, 41, -56, -35, 17, -70]
  Compare 67 and -28
  Swap 67 and -28
  List after swap: [-77, 19, -42, -28, 67, 41, -56, -35, 17, -70]
  Compare 67 and 41
  Swap 67 and 41
  List after swap: [-77, 19, -42, -28, 41, 67, -56, -35, 17, -70]
  Compare 67 and -56
  Swap 67 and -56
  List after swap: [-77, 19, -42, -28, 41, -56, 67, -35, 17, -70]
  Compare 67 and -35
  Swap 67 and -35
  List after swap: [-77, 19, -42, -28, 41, -56, -35, 67, 17, -70]
  Compare 67 and 17
  Swap 67 and 17
  List after swap: [-77, 19, -42, -28, 41, -56, -35, 17, 67, -70]
  Compare 67 and -70
  Swap 67 and -70
  List after swap: [-77, 19, -42, -28, 41, -56, -35, 17, -70, 67]

Pass 2:
  Compare -77 and 19
  No swap needed
  Compare 19 and -42
  Swap 19 and -42
  List after swap: [-77, -42, 19, -28, 41, -56, -35, 17, -70, 67]
  Compare 19 and -28
  Swap 19 and -28
  List after swap: [-77, -42, -28, 19, 41, -56, -35, 17, -70, 67]
  Compare 19 and 41
  No swap needed
  Compare 41 and -56
  Swap 41 and -56
  List after swap: [-77, -42, -28, 19, -56, 41, -35, 17, -70, 67]
  Compare 41 and -35
  Swap 41 and -35
  List after swap: [-77, -42, -28, 19, -56, -35, 41, 17, -70, 67]
  Compare 41 and 17
  Swap 41 and 17
  List after swap: [-77, -42, -28, 19, -56, -35, 17, 41, -70, 67]
  Compare 41 and -70
  Swap 41 and -70
  List after swap: [-77, -42, -28, 19, -56, -35, 17, -70, 41, 67]

Pass 3:
  Compare -77 and -42
  No swap needed
  Compare -42 and -28
  No swap needed
  Compare -28 and 19
  No swap needed
  Compare 19 and -56
  Swap 19 and -56
  List after swap: [-77, -42, -28, -56, 19, -35, 17, -70, 41, 67]
  Compare 19 and -35
  Swap 19 and -35
  List after swap: [-77, -42, -28, -56, -35, 19, 17, -70, 41, 67]
  Compare 19 and 17
  Swap 19 and 17
  List after swap: [-77, -42, -28, -56, -35, 17, 19, -70, 41, 67]
  Compare 19 and -70
  Swap 19 and -70
  List after swap: [-77, -42, -28, -56, -35, 17, -70, 19, 41, 67]

Pass 4:
  Compare -77 and -42
  No swap needed
  Compare -42 and -28
  No swap needed
  Compare -28 and -56
  Swap -28 and -56
  List after swap: [-77, -42, -56, -28, -35, 17, -70, 19, 41, 67]
  Compare -28 and -35
  Swap -28 and -35
  List after swap: [-77, -42, -56, -35, -28, 17, -70, 19, 41, 67]
  Compare -28 and 17
  No swap needed
  Compare 17 and -70
  Swap 17 and -70
  List after swap: [-77, -42, -56, -35, -28, -70, 17, 19, 41, 67]

Pass 5:
  Compare -77 and -42
  No swap needed
  Compare -42 and -56
  Swap -42 and -56
  List after swap: [-77, -56, -42, -35, -28, -70, 17, 19, 41, 67]
  Compare -42 and -35
  No swap needed
  Compare -35 and -28
  No swap needed
  Compare -28 and -70
  Swap -28 and -70
  List after swap: [-77, -56, -42, -35, -70, -28, 17, 19, 41, 67]

Pass 6:
  Compare -77 and -56
  No swap needed
  Compare -56 and -42
  No swap needed
  Compare -42 and -35
  No swap needed
  Compare -35 and -70
  Swap -35 and -70
  List after swap: [-77, -56, -42, -70, -35, -28, 17, 19, 41, 67]

Pass 7:
  Compare -77 and -56
  No swap needed
  Compare -56 and -42
  No swap needed
  Compare -42 and -70
  Swap -42 and -70
  List after swap: [-77, -56, -70, -42, -35, -28, 17, 19, 41, 67]

Pass 8:
  Compare -77 and -56
  No swap needed
  Compare -56 and -70
  Swap -56 and -70
  List after swap: [-77, -70, -56, -42, -35, -28, 17, 19, 41, 67]

Pass 9:
  Compare -77 and -70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -70, -56, -42, -35, -28, 17, 19, 41, 67]
</think>

<response>-77, -70, -56, -42, -35, -28, 17, 19, 41, 67</response>


input: Carry out the bubble sort algorithm on -72, -32, 97, 51, 96, 53, 84 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-72, -32, 97, 51, 96, 53, 84]

Pass 1:
  Compare -72 and -32
  No swap needed
  Compare -32 and 97
  No swap needed
  Compare 97 and 51
  Swap 97 and 51
  List after swap: [-72, -32, 51, 97, 96, 53, 84]
  Compare 97 and 96
  Swap 97 and 96
  List after swap: [-72, -32, 51, 96, 97, 53, 84]
  Compare 97 and 53
  Swap 97 and 53
  List after swap: [-72, -32, 51, 96, 53, 97, 84]
  Compare 97 and 84
  Swap 97 and 84
  List after swap: [-72, -32, 51, 96, 53, 84, 97]

Pass 2:
  Compare -72 and -32
  No swap needed
  Compare -32 and 51
  No swap needed
  Compare 51 and 96
  No swap needed
  Compare 96 and 53
  Swap 96 and 53
  List after swap: [-72, -32, 51, 53, 96, 84, 97]
  Compare 96 and 84
  Swap 96 and 84
  List after swap: [-72, -32, 51, 53, 84, 96, 97]

Pass 3:
  Compare -72 and -32
  No swap needed
  Compare -32 and 51
  No swap needed
  Compare 51 and 53
  No swap needed
  Compare 53 and 84
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -32, 51, 53, 84, 96, 97]
</think>

<response>-72, -32, 51, 53, 84, 96, 97</response>


input: Sort these integers 79, 99, -54, -44, 19, 9, -11, 67 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [79, 99, -54, -44, 19, 9, -11, 67]

Pass 1:
  Compare 79 and 99
  No swap needed
  Compare 99 and -54
  Swap 99 and -54
  List after swap: [79, -54, 99, -44, 19, 9, -11, 67]
  Compare 99 and -44
  Swap 99 and -44
  List after swap: [79, -54, -44, 99, 19, 9, -11, 67]
  Compare 99 and 19
  Swap 99 and 19
  List after swap: [79, -54, -44, 19, 99, 9, -11, 67]
  Compare 99 and 9
  Swap 99 and 9
  List after swap: [79, -54, -44, 19, 9, 99, -11, 67]
  Compare 99 and -11
  Swap 99 and -11
  List after swap: [79, -54, -44, 19, 9, -11, 99, 67]
  Compare 99 and 67
  Swap 99 and 67
  List after swap: [79, -54, -44, 19, 9, -11, 67, 99]

Pass 2:
  Compare 79 and -54
  Swap 79 and -54
  List after swap: [-54, 79, -44, 19, 9, -11, 67, 99]
  Compare 79 and -44
  Swap 79 and -44
  List after swap: [-54, -44, 79, 19, 9, -11, 67, 99]
  Compare 79 and 19
  Swap 79 and 19
  List after swap: [-54, -44, 19, 79, 9, -11, 67, 99]
  Compare 79 and 9
  Swap 79 and 9
  List after swap: [-54, -44, 19, 9, 79, -11, 67, 99]
  Compare 79 and -11
  Swap 79 and -11
  List after swap: [-54, -44, 19, 9, -11, 79, 67, 99]
  Compare 79 and 67
  Swap 79 and 67
  List after swap: [-54, -44, 19, 9, -11, 67, 79, 99]

Pass 3:
  Compare -54 and -44
  No swap needed
  Compare -44 and 19
  No swap needed
  Compare 19 and 9
  Swap 19 and 9
  List after swap: [-54, -44, 9, 19, -11, 67, 79, 99]
  Compare 19 and -11
  Swap 19 and -11
  List after swap: [-54, -44, 9, -11, 19, 67, 79, 99]
  Compare 19 and 67
  No swap needed

Pass 4:
  Compare -54 and -44
  No swap needed
  Compare -44 and 9
  No swap needed
  Compare 9 and -11
  Swap 9 and -11
  List after swap: [-54, -44, -11, 9, 19, 67, 79, 99]
  Compare 9 and 19
  No swap needed

Pass 5:
  Compare -54 and -44
  No swap needed
  Compare -44 and -11
  No swap needed
  Compare -11 and 9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-54, -44, -11, 9, 19, 67, 79, 99]
</think>

<response>-54, -44, -11, 9, 19, 67, 79, 99</response>


input: Demonstrate how bubble sort orders the integers 35, 59, -76, -10, -83, 99, 4, 78 in ascending sequence, showing all steps.

output:
<think>
Initial list: [35, 59, -76, -10, -83, 99, 4, 78]

Pass 1:
  Compare 35 and 59
  No swap needed
  Compare 59 and -76
  Swap 59 and -76
  List after swap: [35, -76, 59, -10, -83, 99, 4, 78]
  Compare 59 and -10
  Swap 59 and -10
  List after swap: [35, -76, -10, 59, -83, 99, 4, 78]
  Compare 59 and -83
  Swap 59 and -83
  List after swap: [35, -76, -10, -83, 59, 99, 4, 78]
  Compare 59 and 99
  No swap needed
  Compare 99 and 4
  Swap 99 and 4
  List after swap: [35, -76, -10, -83, 59, 4, 99, 78]
  Compare 99 and 78
  Swap 99 and 78
  List after swap: [35, -76, -10, -83, 59, 4, 78, 99]

Pass 2:
  Compare 35 and -76
  Swap 35 and -76
  List after swap: [-76, 35, -10, -83, 59, 4, 78, 99]
  Compare 35 and -10
  Swap 35 and -10
  List after swap: [-76, -10, 35, -83, 59, 4, 78, 99]
  Compare 35 and -83
  Swap 35 and -83
  List after swap: [-76, -10, -83, 35, 59, 4, 78, 99]
  Compare 35 and 59
  No swap needed
  Compare 59 and 4
  Swap 59 and 4
  List after swap: [-76, -10, -83, 35, 4, 59, 78, 99]
  Compare 59 and 78
  No swap needed

Pass 3:
  Compare -76 and -10
  No swap needed
  Compare -10 and -83
  Swap -10 and -83
  List after swap: [-76, -83, -10, 35, 4, 59, 78, 99]
  Compare -10 and 35
  No swap needed
  Compare 35 and 4
  Swap 35 and 4
  List after swap: [-76, -83, -10, 4, 35, 59, 78, 99]
  Compare 35 and 59
  No swap needed

Pass 4:
  Compare -76 and -83
  Swap -76 and -83
  List after swap: [-83, -76, -10, 4, 35, 59, 78, 99]
  Compare -76 and -10
  No swap needed
  Compare -10 and 4
  No swap needed
  Compare 4 and 35
  No swap needed

Pass 5:
  Compare -83 and -76
  No swap needed
  Compare -76 and -10
  No swap needed
  Compare -10 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -76, -10, 4, 35, 59, 78, 99]
</think>

<response>-83, -76, -10, 4, 35, 59, 78, 99</response>


input: Perform a bubble sort on the integers -77, 31, 18, -56, 32, -22, 57, 20, 49, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-77, 31, 18, -56, 32, -22, 57, 20, 49]

Pass 1:
  Compare -77 and 31
  No swap needed
  Compare 31 and 18
  Swap 31 and 18
  List after swap: [-77, 18, 31, -56, 32, -22, 57, 20, 49]
  Compare 31 and -56
  Swap 31 and -56
  List after swap: [-77, 18, -56, 31, 32, -22, 57, 20, 49]
  Compare 31 and 32
  No swap needed
  Compare 32 and -22
  Swap 32 and -22
  List after swap: [-77, 18, -56, 31, -22, 32, 57, 20, 49]
  Compare 32 and 57
  No swap needed
  Compare 57 and 20
  Swap 57 and 20
  List after swap: [-77, 18, -56, 31, -22, 32, 20, 57, 49]
  Compare 57 and 49
  Swap 57 and 49
  List after swap: [-77, 18, -56, 31, -22, 32, 20, 49, 57]

Pass 2:
  Compare -77 and 18
  No swap needed
  Compare 18 and -56
  Swap 18 and -56
  List after swap: [-77, -56, 18, 31, -22, 32, 20, 49, 57]
  Compare 18 and 31
  No swap needed
  Compare 31 and -22
  Swap 31 and -22
  List after swap: [-77, -56, 18, -22, 31, 32, 20, 49, 57]
  Compare 31 and 32
  No swap needed
  Compare 32 and 20
  Swap 32 and 20
  List after swap: [-77, -56, 18, -22, 31, 20, 32, 49, 57]
  Compare 32 and 49
  No swap needed

Pass 3:
  Compare -77 and -56
  No swap needed
  Compare -56 and 18
  No swap needed
  Compare 18 and -22
  Swap 18 and -22
  List after swap: [-77, -56, -22, 18, 31, 20, 32, 49, 57]
  Compare 18 and 31
  No swap needed
  Compare 31 and 20
  Swap 31 and 20
  List after swap: [-77, -56, -22, 18, 20, 31, 32, 49, 57]
  Compare 31 and 32
  No swap needed

Pass 4:
  Compare -77 and -56
  No swap needed
  Compare -56 and -22
  No swap needed
  Compare -22 and 18
  No swap needed
  Compare 18 and 20
  No swap needed
  Compare 20 and 31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -56, -22, 18, 20, 31, 32, 49, 57]
</think>

<response>-77, -56, -22, 18, 20, 31, 32, 49, 57</response>


input: Carry out the bubble sort algorithm on -26, -62, 67, -51, 17, 46, 71, 97, -9 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-26, -62, 67, -51, 17, 46, 71, 97, -9]

Pass 1:
  Compare -26 and -62
  Swap -26 and -62
  List after swap: [-62, -26, 67, -51, 17, 46, 71, 97, -9]
  Compare -26 and 67
  No swap needed
  Compare 67 and -51
  Swap 67 and -51
  List after swap: [-62, -26, -51, 67, 17, 46, 71, 97, -9]
  Compare 67 and 17
  Swap 67 and 17
  List after swap: [-62, -26, -51, 17, 67, 46, 71, 97, -9]
  Compare 67 and 46
  Swap 67 and 46
  List after swap: [-62, -26, -51, 17, 46, 67, 71, 97, -9]
  Compare 67 and 71
  No swap needed
  Compare 71 and 97
  No swap needed
  Compare 97 and -9
  Swap 97 and -9
  List after swap: [-62, -26, -51, 17, 46, 67, 71, -9, 97]

Pass 2:
  Compare -62 and -26
  No swap needed
  Compare -26 and -51
  Swap -26 and -51
  List after swap: [-62, -51, -26, 17, 46, 67, 71, -9, 97]
  Compare -26 and 17
  No swap needed
  Compare 17 and 46
  No swap needed
  Compare 46 and 67
  No swap needed
  Compare 67 and 71
  No swap needed
  Compare 71 and -9
  Swap 71 and -9
  List after swap: [-62, -51, -26, 17, 46, 67, -9, 71, 97]

Pass 3:
  Compare -62 and -51
  No swap needed
  Compare -51 and -26
  No swap needed
  Compare -26 and 17
  No swap needed
  Compare 17 and 46
  No swap needed
  Compare 46 and 67
  No swap needed
  Compare 67 and -9
  Swap 67 and -9
  List after swap: [-62, -51, -26, 17, 46, -9, 67, 71, 97]

Pass 4:
  Compare -62 and -51
  No swap needed
  Compare -51 and -26
  No swap needed
  Compare -26 and 17
  No swap needed
  Compare 17 and 46
  No swap needed
  Compare 46 and -9
  Swap 46 and -9
  List after swap: [-62, -51, -26, 17, -9, 46, 67, 71, 97]

Pass 5:
  Compare -62 and -51
  No swap needed
  Compare -51 and -26
  No swap needed
  Compare -26 and 17
  No swap needed
  Compare 17 and -9
  Swap 17 and -9
  List after swap: [-62, -51, -26, -9, 17, 46, 67, 71, 97]

Pass 6:
  Compare -62 and -51
  No swap needed
  Compare -51 and -26
  No swap needed
  Compare -26 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -51, -26, -9, 17, 46, 67, 71, 97]
</think>

<response>-62, -51, -26, -9, 17, 46, 67, 71, 97</response>


input: Sort the list -78, 50, -97, 62, -41, 29, -39 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-78, 50, -97, 62, -41, 29, -39]

Pass 1:
  Compare -78 and 50
  No swap needed
  Compare 50 and -97
  Swap 50 and -97
  List after swap: [-78, -97, 50, 62, -41, 29, -39]
  Compare 50 and 62
  No swap needed
  Compare 62 and -41
  Swap 62 and -41
  List after swap: [-78, -97, 50, -41, 62, 29, -39]
  Compare 62 and 29
  Swap 62 and 29
  List after swap: [-78, -97, 50, -41, 29, 62, -39]
  Compare 62 and -39
  Swap 62 and -39
  List after swap: [-78, -97, 50, -41, 29, -39, 62]

Pass 2:
  Compare -78 and -97
  Swap -78 and -97
  List after swap: [-97, -78, 50, -41, 29, -39, 62]
  Compare -78 and 50
  No swap needed
  Compare 50 and -41
  Swap 50 and -41
  List after swap: [-97, -78, -41, 50, 29, -39, 62]
  Compare 50 and 29
  Swap 50 and 29
  List after swap: [-97, -78, -41, 29, 50, -39, 62]
  Compare 50 and -39
  Swap 50 and -39
  List after swap: [-97, -78, -41, 29, -39, 50, 62]

Pass 3:
  Compare -97 and -78
  No swap needed
  Compare -78 and -41
  No swap needed
  Compare -41 and 29
  No swap needed
  Compare 29 and -39
  Swap 29 and -39
  List after swap: [-97, -78, -41, -39, 29, 50, 62]

Pass 4:
  Compare -97 and -78
  No swap needed
  Compare -78 and -41
  No swap needed
  Compare -41 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -78, -41, -39, 29, 50, 62]
</think>

<response>-97, -78, -41, -39, 29, 50, 62</response>