input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 17, -90, -81, -61, -89, -35, 59, 21, -32.

output:
<think>
Initial list: [17, -90, -81, -61, -89, -35, 59, 21, -32]

Pass 1:
  Compare 17 and -90
  Swap 17 and -90
  List after swap: [-90, 17, -81, -61, -89, -35, 59, 21, -32]
  Compare 17 and -81
  Swap 17 and -81
  List after swap: [-90, -81, 17, -61, -89, -35, 59, 21, -32]
  Compare 17 and -61
  Swap 17 and -61
  List after swap: [-90, -81, -61, 17, -89, -35, 59, 21, -32]
  Compare 17 and -89
  Swap 17 and -89
  List after swap: [-90, -81, -61, -89, 17, -35, 59, 21, -32]
  Compare 17 and -35
  Swap 17 and -35
  List after swap: [-90, -81, -61, -89, -35, 17, 59, 21, -32]
  Compare 17 and 59
  No swap needed
  Compare 59 and 21
  Swap 59 and 21
  List after swap: [-90, -81, -61, -89, -35, 17, 21, 59, -32]
  Compare 59 and -32
  Swap 59 and -32
  List after swap: [-90, -81, -61, -89, -35, 17, 21, -32, 59]

Pass 2:
  Compare -90 and -81
  No swap needed
  Compare -81 and -61
  No swap needed
  Compare -61 and -89
  Swap -61 and -89
  List after swap: [-90, -81, -89, -61, -35, 17, 21, -32, 59]
  Compare -61 and -35
  No swap needed
  Compare -35 and 17
  No swap needed
  Compare 17 and 21
  No swap needed
  Compare 21 and -32
  Swap 21 and -32
  List after swap: [-90, -81, -89, -61, -35, 17, -32, 21, 59]

Pass 3:
  Compare -90 and -81
  No swap needed
  Compare -81 and -89
  Swap -81 and -89
  List after swap: [-90, -89, -81, -61, -35, 17, -32, 21, 59]
  Compare -81 and -61
  No swap needed
  Compare -61 and -35
  No swap needed
  Compare -35 and 17
  No swap needed
  Compare 17 and -32
  Swap 17 and -32
  List after swap: [-90, -89, -81, -61, -35, -32, 17, 21, 59]

Pass 4:
  Compare -90 and -89
  No swap needed
  Compare -89 and -81
  No swap needed
  Compare -81 and -61
  No swap needed
  Compare -61 and -35
  No swap needed
  Compare -35 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -89, -81, -61, -35, -32, 17, 21, 59]
</think>

<response>-90, -89, -81, -61, -35, -32, 17, 21, 59</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -67, 92.

output:
<think>
Initial list: [-67, 92]

Pass 1:
  Compare -67 and 92
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, 92]
</think>

<response>-67, 92</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -32, -58, -56.

output:
<think>
Initial list: [-32, -58, -56]

Pass 1:
  Compare -32 and -58
  Swap -32 and -58
  List after swap: [-58, -32, -56]
  Compare -32 and -56
  Swap -32 and -56
  List after swap: [-58, -56, -32]

Pass 2:
  Compare -58 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -56, -32]
</think>

<response>-58, -56, -32</response>


input: Perform a bubble sort on the integers -57, -70, 21, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-57, -70, 21]

Pass 1:
  Compare -57 and -70
  Swap -57 and -70
  List after swap: [-70, -57, 21]
  Compare -57 and 21
  No swap needed

Pass 2:
  Compare -70 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -57, 21]
</think>

<response>-70, -57, 21</response>


input: Implement bubble sort on 26, 0, 77 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [26, 0, 77]

Pass 1:
  Compare 26 and 0
  Swap 26 and 0
  List after swap: [0, 26, 77]
  Compare 26 and 77
  No swap needed

Pass 2:
  Compare 0 and 26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [0, 26, 77]
</think>

<response>0, 26, 77</response>


input: Carry out the bubble sort algorithm on 38, 37, -96, -98, 53, -2, -18, 16, 10, 94 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [38, 37, -96, -98, 53, -2, -18, 16, 10, 94]

Pass 1:
  Compare 38 and 37
  Swap 38 and 37
  List after swap: [37, 38, -96, -98, 53, -2, -18, 16, 10, 94]
  Compare 38 and -96
  Swap 38 and -96
  List after swap: [37, -96, 38, -98, 53, -2, -18, 16, 10, 94]
  Compare 38 and -98
  Swap 38 and -98
  List after swap: [37, -96, -98, 38, 53, -2, -18, 16, 10, 94]
  Compare 38 and 53
  No swap needed
  Compare 53 and -2
  Swap 53 and -2
  List after swap: [37, -96, -98, 38, -2, 53, -18, 16, 10, 94]
  Compare 53 and -18
  Swap 53 and -18
  List after swap: [37, -96, -98, 38, -2, -18, 53, 16, 10, 94]
  Compare 53 and 16
  Swap 53 and 16
  List after swap: [37, -96, -98, 38, -2, -18, 16, 53, 10, 94]
  Compare 53 and 10
  Swap 53 and 10
  List after swap: [37, -96, -98, 38, -2, -18, 16, 10, 53, 94]
  Compare 53 and 94
  No swap needed

Pass 2:
  Compare 37 and -96
  Swap 37 and -96
  List after swap: [-96, 37, -98, 38, -2, -18, 16, 10, 53, 94]
  Compare 37 and -98
  Swap 37 and -98
  List after swap: [-96, -98, 37, 38, -2, -18, 16, 10, 53, 94]
  Compare 37 and 38
  No swap needed
  Compare 38 and -2
  Swap 38 and -2
  List after swap: [-96, -98, 37, -2, 38, -18, 16, 10, 53, 94]
  Compare 38 and -18
  Swap 38 and -18
  List after swap: [-96, -98, 37, -2, -18, 38, 16, 10, 53, 94]
  Compare 38 and 16
  Swap 38 and 16
  List after swap: [-96, -98, 37, -2, -18, 16, 38, 10, 53, 94]
  Compare 38 and 10
  Swap 38 and 10
  List after swap: [-96, -98, 37, -2, -18, 16, 10, 38, 53, 94]
  Compare 38 and 53
  No swap needed

Pass 3:
  Compare -96 and -98
  Swap -96 and -98
  List after swap: [-98, -96, 37, -2, -18, 16, 10, 38, 53, 94]
  Compare -96 and 37
  No swap needed
  Compare 37 and -2
  Swap 37 and -2
  List after swap: [-98, -96, -2, 37, -18, 16, 10, 38, 53, 94]
  Compare 37 and -18
  Swap 37 and -18
  List after swap: [-98, -96, -2, -18, 37, 16, 10, 38, 53, 94]
  Compare 37 and 16
  Swap 37 and 16
  List after swap: [-98, -96, -2, -18, 16, 37, 10, 38, 53, 94]
  Compare 37 and 10
  Swap 37 and 10
  List after swap: [-98, -96, -2, -18, 16, 10, 37, 38, 53, 94]
  Compare 37 and 38
  No swap needed

Pass 4:
  Compare -98 and -96
  No swap needed
  Compare -96 and -2
  No swap needed
  Compare -2 and -18
  Swap -2 and -18
  List after swap: [-98, -96, -18, -2, 16, 10, 37, 38, 53, 94]
  Compare -2 and 16
  No swap needed
  Compare 16 and 10
  Swap 16 and 10
  List after swap: [-98, -96, -18, -2, 10, 16, 37, 38, 53, 94]
  Compare 16 and 37
  No swap needed

Pass 5:
  Compare -98 and -96
  No swap needed
  Compare -96 and -18
  No swap needed
  Compare -18 and -2
  No swap needed
  Compare -2 and 10
  No swap needed
  Compare 10 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -96, -18, -2, 10, 16, 37, 38, 53, 94]
</think>

<response>-98, -96, -18, -2, 10, 16, 37, 38, 53, 94</response>


input: Using the bubble sort method, sort 49, -11, 31, -15, 63 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [49, -11, 31, -15, 63]

Pass 1:
  Compare 49 and -11
  Swap 49 and -11
  List after swap: [-11, 49, 31, -15, 63]
  Compare 49 and 31
  Swap 49 and 31
  List after swap: [-11, 31, 49, -15, 63]
  Compare 49 and -15
  Swap 49 and -15
  List after swap: [-11, 31, -15, 49, 63]
  Compare 49 and 63
  No swap needed

Pass 2:
  Compare -11 and 31
  No swap needed
  Compare 31 and -15
  Swap 31 and -15
  List after swap: [-11, -15, 31, 49, 63]
  Compare 31 and 49
  No swap needed

Pass 3:
  Compare -11 and -15
  Swap -11 and -15
  List after swap: [-15, -11, 31, 49, 63]
  Compare -11 and 31
  No swap needed

Pass 4:
  Compare -15 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-15, -11, 31, 49, 63]
</think>

<response>-15, -11, 31, 49, 63</response>


input: Implement bubble sort on -74, -45, 64 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-74, -45, 64]

Pass 1:
  Compare -74 and -45
  No swap needed
  Compare -45 and 64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -45, 64]
</think>

<response>-74, -45, 64</response>


input: Sort the list 14, 32, -48, 35, -72, -19, -7, -78, -28, -91 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [14, 32, -48, 35, -72, -19, -7, -78, -28, -91]

Pass 1:
  Compare 14 and 32
  No swap needed
  Compare 32 and -48
  Swap 32 and -48
  List after swap: [14, -48, 32, 35, -72, -19, -7, -78, -28, -91]
  Compare 32 and 35
  No swap needed
  Compare 35 and -72
  Swap 35 and -72
  List after swap: [14, -48, 32, -72, 35, -19, -7, -78, -28, -91]
  Compare 35 and -19
  Swap 35 and -19
  List after swap: [14, -48, 32, -72, -19, 35, -7, -78, -28, -91]
  Compare 35 and -7
  Swap 35 and -7
  List after swap: [14, -48, 32, -72, -19, -7, 35, -78, -28, -91]
  Compare 35 and -78
  Swap 35 and -78
  List after swap: [14, -48, 32, -72, -19, -7, -78, 35, -28, -91]
  Compare 35 and -28
  Swap 35 and -28
  List after swap: [14, -48, 32, -72, -19, -7, -78, -28, 35, -91]
  Compare 35 and -91
  Swap 35 and -91
  List after swap: [14, -48, 32, -72, -19, -7, -78, -28, -91, 35]

Pass 2:
  Compare 14 and -48
  Swap 14 and -48
  List after swap: [-48, 14, 32, -72, -19, -7, -78, -28, -91, 35]
  Compare 14 and 32
  No swap needed
  Compare 32 and -72
  Swap 32 and -72
  List after swap: [-48, 14, -72, 32, -19, -7, -78, -28, -91, 35]
  Compare 32 and -19
  Swap 32 and -19
  List after swap: [-48, 14, -72, -19, 32, -7, -78, -28, -91, 35]
  Compare 32 and -7
  Swap 32 and -7
  List after swap: [-48, 14, -72, -19, -7, 32, -78, -28, -91, 35]
  Compare 32 and -78
  Swap 32 and -78
  List after swap: [-48, 14, -72, -19, -7, -78, 32, -28, -91, 35]
  Compare 32 and -28
  Swap 32 and -28
  List after swap: [-48, 14, -72, -19, -7, -78, -28, 32, -91, 35]
  Compare 32 and -91
  Swap 32 and -91
  List after swap: [-48, 14, -72, -19, -7, -78, -28, -91, 32, 35]

Pass 3:
  Compare -48 and 14
  No swap needed
  Compare 14 and -72
  Swap 14 and -72
  List after swap: [-48, -72, 14, -19, -7, -78, -28, -91, 32, 35]
  Compare 14 and -19
  Swap 14 and -19
  List after swap: [-48, -72, -19, 14, -7, -78, -28, -91, 32, 35]
  Compare 14 and -7
  Swap 14 and -7
  List after swap: [-48, -72, -19, -7, 14, -78, -28, -91, 32, 35]
  Compare 14 and -78
  Swap 14 and -78
  List after swap: [-48, -72, -19, -7, -78, 14, -28, -91, 32, 35]
  Compare 14 and -28
  Swap 14 and -28
  List after swap: [-48, -72, -19, -7, -78, -28, 14, -91, 32, 35]
  Compare 14 and -91
  Swap 14 and -91
  List after swap: [-48, -72, -19, -7, -78, -28, -91, 14, 32, 35]

Pass 4:
  Compare -48 and -72
  Swap -48 and -72
  List after swap: [-72, -48, -19, -7, -78, -28, -91, 14, 32, 35]
  Compare -48 and -19
  No swap needed
  Compare -19 and -7
  No swap needed
  Compare -7 and -78
  Swap -7 and -78
  List after swap: [-72, -48, -19, -78, -7, -28, -91, 14, 32, 35]
  Compare -7 and -28
  Swap -7 and -28
  List after swap: [-72, -48, -19, -78, -28, -7, -91, 14, 32, 35]
  Compare -7 and -91
  Swap -7 and -91
  List after swap: [-72, -48, -19, -78, -28, -91, -7, 14, 32, 35]

Pass 5:
  Compare -72 and -48
  No swap needed
  Compare -48 and -19
  No swap needed
  Compare -19 and -78
  Swap -19 and -78
  List after swap: [-72, -48, -78, -19, -28, -91, -7, 14, 32, 35]
  Compare -19 and -28
  Swap -19 and -28
  List after swap: [-72, -48, -78, -28, -19, -91, -7, 14, 32, 35]
  Compare -19 and -91
  Swap -19 and -91
  List after swap: [-72, -48, -78, -28, -91, -19, -7, 14, 32, 35]

Pass 6:
  Compare -72 and -48
  No swap needed
  Compare -48 and -78
  Swap -48 and -78
  List after swap: [-72, -78, -48, -28, -91, -19, -7, 14, 32, 35]
  Compare -48 and -28
  No swap needed
  Compare -28 and -91
  Swap -28 and -91
  List after swap: [-72, -78, -48, -91, -28, -19, -7, 14, 32, 35]

Pass 7:
  Compare -72 and -78
  Swap -72 and -78
  List after swap: [-78, -72, -48, -91, -28, -19, -7, 14, 32, 35]
  Compare -72 and -48
  No swap needed
  Compare -48 and -91
  Swap -48 and -91
  List after swap: [-78, -72, -91, -48, -28, -19, -7, 14, 32, 35]

Pass 8:
  Compare -78 and -72
  No swap needed
  Compare -72 and -91
  Swap -72 and -91
  List after swap: [-78, -91, -72, -48, -28, -19, -7, 14, 32, 35]

Pass 9:
  Compare -78 and -91
  Swap -78 and -91
  List after swap: [-91, -78, -72, -48, -28, -19, -7, 14, 32, 35]

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

Final sorted list: [-91, -78, -72, -48, -28, -19, -7, 14, 32, 35]
</think>

<response>-91, -78, -72, -48, -28, -19, -7, 14, 32, 35</response>


input: Arrange the numbers -19, -21, 76 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-19, -21, 76]

Pass 1:
  Compare -19 and -21
  Swap -19 and -21
  List after swap: [-21, -19, 76]
  Compare -19 and 76
  No swap needed

Pass 2:
  Compare -21 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-21, -19, 76]
</think>

<response>-21, -19, 76</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 22, -93, 0, -70, 63, 25, 16.

output:
<think>
Initial list: [22, -93, 0, -70, 63, 25, 16]

Pass 1:
  Compare 22 and -93
  Swap 22 and -93
  List after swap: [-93, 22, 0, -70, 63, 25, 16]
  Compare 22 and 0
  Swap 22 and 0
  List after swap: [-93, 0, 22, -70, 63, 25, 16]
  Compare 22 and -70
  Swap 22 and -70
  List after swap: [-93, 0, -70, 22, 63, 25, 16]
  Compare 22 and 63
  No swap needed
  Compare 63 and 25
  Swap 63 and 25
  List after swap: [-93, 0, -70, 22, 25, 63, 16]
  Compare 63 and 16
  Swap 63 and 16
  List after swap: [-93, 0, -70, 22, 25, 16, 63]

Pass 2:
  Compare -93 and 0
  No swap needed
  Compare 0 and -70
  Swap 0 and -70
  List after swap: [-93, -70, 0, 22, 25, 16, 63]
  Compare 0 and 22
  No swap needed
  Compare 22 and 25
  No swap needed
  Compare 25 and 16
  Swap 25 and 16
  List after swap: [-93, -70, 0, 22, 16, 25, 63]

Pass 3:
  Compare -93 and -70
  No swap needed
  Compare -70 and 0
  No swap needed
  Compare 0 and 22
  No swap needed
  Compare 22 and 16
  Swap 22 and 16
  List after swap: [-93, -70, 0, 16, 22, 25, 63]

Pass 4:
  Compare -93 and -70
  No swap needed
  Compare -70 and 0
  No swap needed
  Compare 0 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -70, 0, 16, 22, 25, 63]
</think>

<response>-93, -70, 0, 16, 22, 25, 63</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 67, 56, -85, -8, -84, 60.

output:
<think>
Initial list: [67, 56, -85, -8, -84, 60]

Pass 1:
  Compare 67 and 56
  Swap 67 and 56
  List after swap: [56, 67, -85, -8, -84, 60]
  Compare 67 and -85
  Swap 67 and -85
  List after swap: [56, -85, 67, -8, -84, 60]
  Compare 67 and -8
  Swap 67 and -8
  List after swap: [56, -85, -8, 67, -84, 60]
  Compare 67 and -84
  Swap 67 and -84
  List after swap: [56, -85, -8, -84, 67, 60]
  Compare 67 and 60
  Swap 67 and 60
  List after swap: [56, -85, -8, -84, 60, 67]

Pass 2:
  Compare 56 and -85
  Swap 56 and -85
  List after swap: [-85, 56, -8, -84, 60, 67]
  Compare 56 and -8
  Swap 56 and -8
  List after swap: [-85, -8, 56, -84, 60, 67]
  Compare 56 and -84
  Swap 56 and -84
  List after swap: [-85, -8, -84, 56, 60, 67]
  Compare 56 and 60
  No swap needed

Pass 3:
  Compare -85 and -8
  No swap needed
  Compare -8 and -84
  Swap -8 and -84
  List after swap: [-85, -84, -8, 56, 60, 67]
  Compare -8 and 56
  No swap needed

Pass 4:
  Compare -85 and -84
  No swap needed
  Compare -84 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -84, -8, 56, 60, 67]
</think>

<response>-85, -84, -8, 56, 60, 67</response>


input: Execute bubble sort to sort -55, 95 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-55, 95]

Pass 1:
  Compare -55 and 95
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, 95]
</think>

<response>-55, 95</response>


input: Perform a bubble sort on the integers 56, 83, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [56, 83]

Pass 1:
  Compare 56 and 83
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [56, 83]
</think>

<response>56, 83</response>


input: Execute bubble sort to sort -19, 69 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-19, 69]

Pass 1:
  Compare -19 and 69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-19, 69]
</think>

<response>-19, 69</response>


input: Sort the list 12, 97, 11, -70, 52, 45, 53, 1, -49, -65 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [12, 97, 11, -70, 52, 45, 53, 1, -49, -65]

Pass 1:
  Compare 12 and 97
  No swap needed
  Compare 97 and 11
  Swap 97 and 11
  List after swap: [12, 11, 97, -70, 52, 45, 53, 1, -49, -65]
  Compare 97 and -70
  Swap 97 and -70
  List after swap: [12, 11, -70, 97, 52, 45, 53, 1, -49, -65]
  Compare 97 and 52
  Swap 97 and 52
  List after swap: [12, 11, -70, 52, 97, 45, 53, 1, -49, -65]
  Compare 97 and 45
  Swap 97 and 45
  List after swap: [12, 11, -70, 52, 45, 97, 53, 1, -49, -65]
  Compare 97 and 53
  Swap 97 and 53
  List after swap: [12, 11, -70, 52, 45, 53, 97, 1, -49, -65]
  Compare 97 and 1
  Swap 97 and 1
  List after swap: [12, 11, -70, 52, 45, 53, 1, 97, -49, -65]
  Compare 97 and -49
  Swap 97 and -49
  List after swap: [12, 11, -70, 52, 45, 53, 1, -49, 97, -65]
  Compare 97 and -65
  Swap 97 and -65
  List after swap: [12, 11, -70, 52, 45, 53, 1, -49, -65, 97]

Pass 2:
  Compare 12 and 11
  Swap 12 and 11
  List after swap: [11, 12, -70, 52, 45, 53, 1, -49, -65, 97]
  Compare 12 and -70
  Swap 12 and -70
  List after swap: [11, -70, 12, 52, 45, 53, 1, -49, -65, 97]
  Compare 12 and 52
  No swap needed
  Compare 52 and 45
  Swap 52 and 45
  List after swap: [11, -70, 12, 45, 52, 53, 1, -49, -65, 97]
  Compare 52 and 53
  No swap needed
  Compare 53 and 1
  Swap 53 and 1
  List after swap: [11, -70, 12, 45, 52, 1, 53, -49, -65, 97]
  Compare 53 and -49
  Swap 53 and -49
  List after swap: [11, -70, 12, 45, 52, 1, -49, 53, -65, 97]
  Compare 53 and -65
  Swap 53 and -65
  List after swap: [11, -70, 12, 45, 52, 1, -49, -65, 53, 97]

Pass 3:
  Compare 11 and -70
  Swap 11 and -70
  List after swap: [-70, 11, 12, 45, 52, 1, -49, -65, 53, 97]
  Compare 11 and 12
  No swap needed
  Compare 12 and 45
  No swap needed
  Compare 45 and 52
  No swap needed
  Compare 52 and 1
  Swap 52 and 1
  List after swap: [-70, 11, 12, 45, 1, 52, -49, -65, 53, 97]
  Compare 52 and -49
  Swap 52 and -49
  List after swap: [-70, 11, 12, 45, 1, -49, 52, -65, 53, 97]
  Compare 52 and -65
  Swap 52 and -65
  List after swap: [-70, 11, 12, 45, 1, -49, -65, 52, 53, 97]

Pass 4:
  Compare -70 and 11
  No swap needed
  Compare 11 and 12
  No swap needed
  Compare 12 and 45
  No swap needed
  Compare 45 and 1
  Swap 45 and 1
  List after swap: [-70, 11, 12, 1, 45, -49, -65, 52, 53, 97]
  Compare 45 and -49
  Swap 45 and -49
  List after swap: [-70, 11, 12, 1, -49, 45, -65, 52, 53, 97]
  Compare 45 and -65
  Swap 45 and -65
  List after swap: [-70, 11, 12, 1, -49, -65, 45, 52, 53, 97]

Pass 5:
  Compare -70 and 11
  No swap needed
  Compare 11 and 12
  No swap needed
  Compare 12 and 1
  Swap 12 and 1
  List after swap: [-70, 11, 1, 12, -49, -65, 45, 52, 53, 97]
  Compare 12 and -49
  Swap 12 and -49
  List after swap: [-70, 11, 1, -49, 12, -65, 45, 52, 53, 97]
  Compare 12 and -65
  Swap 12 and -65
  List after swap: [-70, 11, 1, -49, -65, 12, 45, 52, 53, 97]

Pass 6:
  Compare -70 and 11
  No swap needed
  Compare 11 and 1
  Swap 11 and 1
  List after swap: [-70, 1, 11, -49, -65, 12, 45, 52, 53, 97]
  Compare 11 and -49
  Swap 11 and -49
  List after swap: [-70, 1, -49, 11, -65, 12, 45, 52, 53, 97]
  Compare 11 and -65
  Swap 11 and -65
  List after swap: [-70, 1, -49, -65, 11, 12, 45, 52, 53, 97]

Pass 7:
  Compare -70 and 1
  No swap needed
  Compare 1 and -49
  Swap 1 and -49
  List after swap: [-70, -49, 1, -65, 11, 12, 45, 52, 53, 97]
  Compare 1 and -65
  Swap 1 and -65
  List after swap: [-70, -49, -65, 1, 11, 12, 45, 52, 53, 97]

Pass 8:
  Compare -70 and -49
  No swap needed
  Compare -49 and -65
  Swap -49 and -65
  List after swap: [-70, -65, -49, 1, 11, 12, 45, 52, 53, 97]

Pass 9:
  Compare -70 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -65, -49, 1, 11, 12, 45, 52, 53, 97]
</think>

<response>-70, -65, -49, 1, 11, 12, 45, 52, 53, 97</response>


input: Implement bubble sort on 98, -56, -18, -48, 86, -12, 36, -1 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [98, -56, -18, -48, 86, -12, 36, -1]

Pass 1:
  Compare 98 and -56
  Swap 98 and -56
  List after swap: [-56, 98, -18, -48, 86, -12, 36, -1]
  Compare 98 and -18
  Swap 98 and -18
  List after swap: [-56, -18, 98, -48, 86, -12, 36, -1]
  Compare 98 and -48
  Swap 98 and -48
  List after swap: [-56, -18, -48, 98, 86, -12, 36, -1]
  Compare 98 and 86
  Swap 98 and 86
  List after swap: [-56, -18, -48, 86, 98, -12, 36, -1]
  Compare 98 and -12
  Swap 98 and -12
  List after swap: [-56, -18, -48, 86, -12, 98, 36, -1]
  Compare 98 and 36
  Swap 98 and 36
  List after swap: [-56, -18, -48, 86, -12, 36, 98, -1]
  Compare 98 and -1
  Swap 98 and -1
  List after swap: [-56, -18, -48, 86, -12, 36, -1, 98]

Pass 2:
  Compare -56 and -18
  No swap needed
  Compare -18 and -48
  Swap -18 and -48
  List after swap: [-56, -48, -18, 86, -12, 36, -1, 98]
  Compare -18 and 86
  No swap needed
  Compare 86 and -12
  Swap 86 and -12
  List after swap: [-56, -48, -18, -12, 86, 36, -1, 98]
  Compare 86 and 36
  Swap 86 and 36
  List after swap: [-56, -48, -18, -12, 36, 86, -1, 98]
  Compare 86 and -1
  Swap 86 and -1
  List after swap: [-56, -48, -18, -12, 36, -1, 86, 98]

Pass 3:
  Compare -56 and -48
  No swap needed
  Compare -48 and -18
  No swap needed
  Compare -18 and -12
  No swap needed
  Compare -12 and 36
  No swap needed
  Compare 36 and -1
  Swap 36 and -1
  List after swap: [-56, -48, -18, -12, -1, 36, 86, 98]

Pass 4:
  Compare -56 and -48
  No swap needed
  Compare -48 and -18
  No swap needed
  Compare -18 and -12
  No swap needed
  Compare -12 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -48, -18, -12, -1, 36, 86, 98]
</think>

<response>-56, -48, -18, -12, -1, 36, 86, 98</response>


input: Execute bubble sort to sort -100, 88, -48, 69, 82, 15, 74, 76, 73, 4 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-100, 88, -48, 69, 82, 15, 74, 76, 73, 4]

Pass 1:
  Compare -100 and 88
  No swap needed
  Compare 88 and -48
  Swap 88 and -48
  List after swap: [-100, -48, 88, 69, 82, 15, 74, 76, 73, 4]
  Compare 88 and 69
  Swap 88 and 69
  List after swap: [-100, -48, 69, 88, 82, 15, 74, 76, 73, 4]
  Compare 88 and 82
  Swap 88 and 82
  List after swap: [-100, -48, 69, 82, 88, 15, 74, 76, 73, 4]
  Compare 88 and 15
  Swap 88 and 15
  List after swap: [-100, -48, 69, 82, 15, 88, 74, 76, 73, 4]
  Compare 88 and 74
  Swap 88 and 74
  List after swap: [-100, -48, 69, 82, 15, 74, 88, 76, 73, 4]
  Compare 88 and 76
  Swap 88 and 76
  List after swap: [-100, -48, 69, 82, 15, 74, 76, 88, 73, 4]
  Compare 88 and 73
  Swap 88 and 73
  List after swap: [-100, -48, 69, 82, 15, 74, 76, 73, 88, 4]
  Compare 88 and 4
  Swap 88 and 4
  List after swap: [-100, -48, 69, 82, 15, 74, 76, 73, 4, 88]

Pass 2:
  Compare -100 and -48
  No swap needed
  Compare -48 and 69
  No swap needed
  Compare 69 and 82
  No swap needed
  Compare 82 and 15
  Swap 82 and 15
  List after swap: [-100, -48, 69, 15, 82, 74, 76, 73, 4, 88]
  Compare 82 and 74
  Swap 82 and 74
  List after swap: [-100, -48, 69, 15, 74, 82, 76, 73, 4, 88]
  Compare 82 and 76
  Swap 82 and 76
  List after swap: [-100, -48, 69, 15, 74, 76, 82, 73, 4, 88]
  Compare 82 and 73
  Swap 82 and 73
  List after swap: [-100, -48, 69, 15, 74, 76, 73, 82, 4, 88]
  Compare 82 and 4
  Swap 82 and 4
  List after swap: [-100, -48, 69, 15, 74, 76, 73, 4, 82, 88]

Pass 3:
  Compare -100 and -48
  No swap needed
  Compare -48 and 69
  No swap needed
  Compare 69 and 15
  Swap 69 and 15
  List after swap: [-100, -48, 15, 69, 74, 76, 73, 4, 82, 88]
  Compare 69 and 74
  No swap needed
  Compare 74 and 76
  No swap needed
  Compare 76 and 73
  Swap 76 and 73
  List after swap: [-100, -48, 15, 69, 74, 73, 76, 4, 82, 88]
  Compare 76 and 4
  Swap 76 and 4
  List after swap: [-100, -48, 15, 69, 74, 73, 4, 76, 82, 88]

Pass 4:
  Compare -100 and -48
  No swap needed
  Compare -48 and 15
  No swap needed
  Compare 15 and 69
  No swap needed
  Compare 69 and 74
  No swap needed
  Compare 74 and 73
  Swap 74 and 73
  List after swap: [-100, -48, 15, 69, 73, 74, 4, 76, 82, 88]
  Compare 74 and 4
  Swap 74 and 4
  List after swap: [-100, -48, 15, 69, 73, 4, 74, 76, 82, 88]

Pass 5:
  Compare -100 and -48
  No swap needed
  Compare -48 and 15
  No swap needed
  Compare 15 and 69
  No swap needed
  Compare 69 and 73
  No swap needed
  Compare 73 and 4
  Swap 73 and 4
  List after swap: [-100, -48, 15, 69, 4, 73, 74, 76, 82, 88]

Pass 6:
  Compare -100 and -48
  No swap needed
  Compare -48 and 15
  No swap needed
  Compare 15 and 69
  No swap needed
  Compare 69 and 4
  Swap 69 and 4
  List after swap: [-100, -48, 15, 4, 69, 73, 74, 76, 82, 88]

Pass 7:
  Compare -100 and -48
  No swap needed
  Compare -48 and 15
  No swap needed
  Compare 15 and 4
  Swap 15 and 4
  List after swap: [-100, -48, 4, 15, 69, 73, 74, 76, 82, 88]

Pass 8:
  Compare -100 and -48
  No swap needed
  Compare -48 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -48, 4, 15, 69, 73, 74, 76, 82, 88]
</think>

<response>-100, -48, 4, 15, 69, 73, 74, 76, 82, 88</response>


input: Sort these integers 69, 8, -24, 14, -31, -95, 54, 27, -28 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [69, 8, -24, 14, -31, -95, 54, 27, -28]

Pass 1:
  Compare 69 and 8
  Swap 69 and 8
  List after swap: [8, 69, -24, 14, -31, -95, 54, 27, -28]
  Compare 69 and -24
  Swap 69 and -24
  List after swap: [8, -24, 69, 14, -31, -95, 54, 27, -28]
  Compare 69 and 14
  Swap 69 and 14
  List after swap: [8, -24, 14, 69, -31, -95, 54, 27, -28]
  Compare 69 and -31
  Swap 69 and -31
  List after swap: [8, -24, 14, -31, 69, -95, 54, 27, -28]
  Compare 69 and -95
  Swap 69 and -95
  List after swap: [8, -24, 14, -31, -95, 69, 54, 27, -28]
  Compare 69 and 54
  Swap 69 and 54
  List after swap: [8, -24, 14, -31, -95, 54, 69, 27, -28]
  Compare 69 and 27
  Swap 69 and 27
  List after swap: [8, -24, 14, -31, -95, 54, 27, 69, -28]
  Compare 69 and -28
  Swap 69 and -28
  List after swap: [8, -24, 14, -31, -95, 54, 27, -28, 69]

Pass 2:
  Compare 8 and -24
  Swap 8 and -24
  List after swap: [-24, 8, 14, -31, -95, 54, 27, -28, 69]
  Compare 8 and 14
  No swap needed
  Compare 14 and -31
  Swap 14 and -31
  List after swap: [-24, 8, -31, 14, -95, 54, 27, -28, 69]
  Compare 14 and -95
  Swap 14 and -95
  List after swap: [-24, 8, -31, -95, 14, 54, 27, -28, 69]
  Compare 14 and 54
  No swap needed
  Compare 54 and 27
  Swap 54 and 27
  List after swap: [-24, 8, -31, -95, 14, 27, 54, -28, 69]
  Compare 54 and -28
  Swap 54 and -28
  List after swap: [-24, 8, -31, -95, 14, 27, -28, 54, 69]

Pass 3:
  Compare -24 and 8
  No swap needed
  Compare 8 and -31
  Swap 8 and -31
  List after swap: [-24, -31, 8, -95, 14, 27, -28, 54, 69]
  Compare 8 and -95
  Swap 8 and -95
  List after swap: [-24, -31, -95, 8, 14, 27, -28, 54, 69]
  Compare 8 and 14
  No swap needed
  Compare 14 and 27
  No swap needed
  Compare 27 and -28
  Swap 27 and -28
  List after swap: [-24, -31, -95, 8, 14, -28, 27, 54, 69]

Pass 4:
  Compare -24 and -31
  Swap -24 and -31
  List after swap: [-31, -24, -95, 8, 14, -28, 27, 54, 69]
  Compare -24 and -95
  Swap -24 and -95
  List after swap: [-31, -95, -24, 8, 14, -28, 27, 54, 69]
  Compare -24 and 8
  No swap needed
  Compare 8 and 14
  No swap needed
  Compare 14 and -28
  Swap 14 and -28
  List after swap: [-31, -95, -24, 8, -28, 14, 27, 54, 69]

Pass 5:
  Compare -31 and -95
  Swap -31 and -95
  List after swap: [-95, -31, -24, 8, -28, 14, 27, 54, 69]
  Compare -31 and -24
  No swap needed
  Compare -24 and 8
  No swap needed
  Compare 8 and -28
  Swap 8 and -28
  List after swap: [-95, -31, -24, -28, 8, 14, 27, 54, 69]

Pass 6:
  Compare -95 and -31
  No swap needed
  Compare -31 and -24
  No swap needed
  Compare -24 and -28
  Swap -24 and -28
  List after swap: [-95, -31, -28, -24, 8, 14, 27, 54, 69]

Pass 7:
  Compare -95 and -31
  No swap needed
  Compare -31 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -31, -28, -24, 8, 14, 27, 54, 69]
</think>

<response>-95, -31, -28, -24, 8, 14, 27, 54, 69</response>


input: Using the bubble sort method, sort 56, 44, 53, 37 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [56, 44, 53, 37]

Pass 1:
  Compare 56 and 44
  Swap 56 and 44
  List after swap: [44, 56, 53, 37]
  Compare 56 and 53
  Swap 56 and 53
  List after swap: [44, 53, 56, 37]
  Compare 56 and 37
  Swap 56 and 37
  List after swap: [44, 53, 37, 56]

Pass 2:
  Compare 44 and 53
  No swap needed
  Compare 53 and 37
  Swap 53 and 37
  List after swap: [44, 37, 53, 56]

Pass 3:
  Compare 44 and 37
  Swap 44 and 37
  List after swap: [37, 44, 53, 56]

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

Final sorted list: [37, 44, 53, 56]
</think>

<response>37, 44, 53, 56</response>


input: Using the bubble sort method, sort 61, 43, -6, -23 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [61, 43, -6, -23]

Pass 1:
  Compare 61 and 43
  Swap 61 and 43
  List after swap: [43, 61, -6, -23]
  Compare 61 and -6
  Swap 61 and -6
  List after swap: [43, -6, 61, -23]
  Compare 61 and -23
  Swap 61 and -23
  List after swap: [43, -6, -23, 61]

Pass 2:
  Compare 43 and -6
  Swap 43 and -6
  List after swap: [-6, 43, -23, 61]
  Compare 43 and -23
  Swap 43 and -23
  List after swap: [-6, -23, 43, 61]

Pass 3:
  Compare -6 and -23
  Swap -6 and -23
  List after swap: [-23, -6, 43, 61]

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

Final sorted list: [-23, -6, 43, 61]
</think>

<response>-23, -6, 43, 61</response>


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

output:
<think>
Initial list: [-59, -99, -55, -39]

Pass 1:
  Compare -59 and -99
  Swap -59 and -99
  List after swap: [-99, -59, -55, -39]
  Compare -59 and -55
  No swap needed
  Compare -55 and -39
  No swap needed

Pass 2:
  Compare -99 and -59
  No swap needed
  Compare -59 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -59, -55, -39]
</think>

<response>-99, -59, -55, -39</response>


input: Perform a bubble sort on the integers 21, 75, 58, 81, 16, -22, 39, 69, 14, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [21, 75, 58, 81, 16, -22, 39, 69, 14]

Pass 1:
  Compare 21 and 75
  No swap needed
  Compare 75 and 58
  Swap 75 and 58
  List after swap: [21, 58, 75, 81, 16, -22, 39, 69, 14]
  Compare 75 and 81
  No swap needed
  Compare 81 and 16
  Swap 81 and 16
  List after swap: [21, 58, 75, 16, 81, -22, 39, 69, 14]
  Compare 81 and -22
  Swap 81 and -22
  List after swap: [21, 58, 75, 16, -22, 81, 39, 69, 14]
  Compare 81 and 39
  Swap 81 and 39
  List after swap: [21, 58, 75, 16, -22, 39, 81, 69, 14]
  Compare 81 and 69
  Swap 81 and 69
  List after swap: [21, 58, 75, 16, -22, 39, 69, 81, 14]
  Compare 81 and 14
  Swap 81 and 14
  List after swap: [21, 58, 75, 16, -22, 39, 69, 14, 81]

Pass 2:
  Compare 21 and 58
  No swap needed
  Compare 58 and 75
  No swap needed
  Compare 75 and 16
  Swap 75 and 16
  List after swap: [21, 58, 16, 75, -22, 39, 69, 14, 81]
  Compare 75 and -22
  Swap 75 and -22
  List after swap: [21, 58, 16, -22, 75, 39, 69, 14, 81]
  Compare 75 and 39
  Swap 75 and 39
  List after swap: [21, 58, 16, -22, 39, 75, 69, 14, 81]
  Compare 75 and 69
  Swap 75 and 69
  List after swap: [21, 58, 16, -22, 39, 69, 75, 14, 81]
  Compare 75 and 14
  Swap 75 and 14
  List after swap: [21, 58, 16, -22, 39, 69, 14, 75, 81]

Pass 3:
  Compare 21 and 58
  No swap needed
  Compare 58 and 16
  Swap 58 and 16
  List after swap: [21, 16, 58, -22, 39, 69, 14, 75, 81]
  Compare 58 and -22
  Swap 58 and -22
  List after swap: [21, 16, -22, 58, 39, 69, 14, 75, 81]
  Compare 58 and 39
  Swap 58 and 39
  List after swap: [21, 16, -22, 39, 58, 69, 14, 75, 81]
  Compare 58 and 69
  No swap needed
  Compare 69 and 14
  Swap 69 and 14
  List after swap: [21, 16, -22, 39, 58, 14, 69, 75, 81]

Pass 4:
  Compare 21 and 16
  Swap 21 and 16
  List after swap: [16, 21, -22, 39, 58, 14, 69, 75, 81]
  Compare 21 and -22
  Swap 21 and -22
  List after swap: [16, -22, 21, 39, 58, 14, 69, 75, 81]
  Compare 21 and 39
  No swap needed
  Compare 39 and 58
  No swap needed
  Compare 58 and 14
  Swap 58 and 14
  List after swap: [16, -22, 21, 39, 14, 58, 69, 75, 81]

Pass 5:
  Compare 16 and -22
  Swap 16 and -22
  List after swap: [-22, 16, 21, 39, 14, 58, 69, 75, 81]
  Compare 16 and 21
  No swap needed
  Compare 21 and 39
  No swap needed
  Compare 39 and 14
  Swap 39 and 14
  List after swap: [-22, 16, 21, 14, 39, 58, 69, 75, 81]

Pass 6:
  Compare -22 and 16
  No swap needed
  Compare 16 and 21
  No swap needed
  Compare 21 and 14
  Swap 21 and 14
  List after swap: [-22, 16, 14, 21, 39, 58, 69, 75, 81]

Pass 7:
  Compare -22 and 16
  No swap needed
  Compare 16 and 14
  Swap 16 and 14
  List after swap: [-22, 14, 16, 21, 39, 58, 69, 75, 81]

Pass 8:
  Compare -22 and 14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-22, 14, 16, 21, 39, 58, 69, 75, 81]
</think>

<response>-22, 14, 16, 21, 39, 58, 69, 75, 81</response>


input: Using the bubble sort method, sort 2, 58, 70, 59 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [2, 58, 70, 59]

Pass 1:
  Compare 2 and 58
  No swap needed
  Compare 58 and 70
  No swap needed
  Compare 70 and 59
  Swap 70 and 59
  List after swap: [2, 58, 59, 70]

Pass 2:
  Compare 2 and 58
  No swap needed
  Compare 58 and 59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [2, 58, 59, 70]
</think>

<response>2, 58, 59, 70</response>


input: Execute bubble sort to sort -61, 63, 36 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-61, 63, 36]

Pass 1:
  Compare -61 and 63
  No swap needed
  Compare 63 and 36
  Swap 63 and 36
  List after swap: [-61, 36, 63]

Pass 2:
  Compare -61 and 36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, 36, 63]
</think>

<response>-61, 36, 63</response>


input: Demonstrate how bubble sort orders the integers -1, 48, -43 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-1, 48, -43]

Pass 1:
  Compare -1 and 48
  No swap needed
  Compare 48 and -43
  Swap 48 and -43
  List after swap: [-1, -43, 48]

Pass 2:
  Compare -1 and -43
  Swap -1 and -43
  List after swap: [-43, -1, 48]

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

Final sorted list: [-43, -1, 48]
</think>

<response>-43, -1, 48</response>


input: Using the bubble sort method, sort -2, 9, 58, -22, 93, 45, 30, -9 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-2, 9, 58, -22, 93, 45, 30, -9]

Pass 1:
  Compare -2 and 9
  No swap needed
  Compare 9 and 58
  No swap needed
  Compare 58 and -22
  Swap 58 and -22
  List after swap: [-2, 9, -22, 58, 93, 45, 30, -9]
  Compare 58 and 93
  No swap needed
  Compare 93 and 45
  Swap 93 and 45
  List after swap: [-2, 9, -22, 58, 45, 93, 30, -9]
  Compare 93 and 30
  Swap 93 and 30
  List after swap: [-2, 9, -22, 58, 45, 30, 93, -9]
  Compare 93 and -9
  Swap 93 and -9
  List after swap: [-2, 9, -22, 58, 45, 30, -9, 93]

Pass 2:
  Compare -2 and 9
  No swap needed
  Compare 9 and -22
  Swap 9 and -22
  List after swap: [-2, -22, 9, 58, 45, 30, -9, 93]
  Compare 9 and 58
  No swap needed
  Compare 58 and 45
  Swap 58 and 45
  List after swap: [-2, -22, 9, 45, 58, 30, -9, 93]
  Compare 58 and 30
  Swap 58 and 30
  List after swap: [-2, -22, 9, 45, 30, 58, -9, 93]
  Compare 58 and -9
  Swap 58 and -9
  List after swap: [-2, -22, 9, 45, 30, -9, 58, 93]

Pass 3:
  Compare -2 and -22
  Swap -2 and -22
  List after swap: [-22, -2, 9, 45, 30, -9, 58, 93]
  Compare -2 and 9
  No swap needed
  Compare 9 and 45
  No swap needed
  Compare 45 and 30
  Swap 45 and 30
  List after swap: [-22, -2, 9, 30, 45, -9, 58, 93]
  Compare 45 and -9
  Swap 45 and -9
  List after swap: [-22, -2, 9, 30, -9, 45, 58, 93]

Pass 4:
  Compare -22 and -2
  No swap needed
  Compare -2 and 9
  No swap needed
  Compare 9 and 30
  No swap needed
  Compare 30 and -9
  Swap 30 and -9
  List after swap: [-22, -2, 9, -9, 30, 45, 58, 93]

Pass 5:
  Compare -22 and -2
  No swap needed
  Compare -2 and 9
  No swap needed
  Compare 9 and -9
  Swap 9 and -9
  List after swap: [-22, -2, -9, 9, 30, 45, 58, 93]

Pass 6:
  Compare -22 and -2
  No swap needed
  Compare -2 and -9
  Swap -2 and -9
  List after swap: [-22, -9, -2, 9, 30, 45, 58, 93]

Pass 7:
  Compare -22 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-22, -9, -2, 9, 30, 45, 58, 93]
</think>

<response>-22, -9, -2, 9, 30, 45, 58, 93</response>


input: Execute bubble sort to sort 28, 70, 69, -75, -99, -59, 18 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [28, 70, 69, -75, -99, -59, 18]

Pass 1:
  Compare 28 and 70
  No swap needed
  Compare 70 and 69
  Swap 70 and 69
  List after swap: [28, 69, 70, -75, -99, -59, 18]
  Compare 70 and -75
  Swap 70 and -75
  List after swap: [28, 69, -75, 70, -99, -59, 18]
  Compare 70 and -99
  Swap 70 and -99
  List after swap: [28, 69, -75, -99, 70, -59, 18]
  Compare 70 and -59
  Swap 70 and -59
  List after swap: [28, 69, -75, -99, -59, 70, 18]
  Compare 70 and 18
  Swap 70 and 18
  List after swap: [28, 69, -75, -99, -59, 18, 70]

Pass 2:
  Compare 28 and 69
  No swap needed
  Compare 69 and -75
  Swap 69 and -75
  List after swap: [28, -75, 69, -99, -59, 18, 70]
  Compare 69 and -99
  Swap 69 and -99
  List after swap: [28, -75, -99, 69, -59, 18, 70]
  Compare 69 and -59
  Swap 69 and -59
  List after swap: [28, -75, -99, -59, 69, 18, 70]
  Compare 69 and 18
  Swap 69 and 18
  List after swap: [28, -75, -99, -59, 18, 69, 70]

Pass 3:
  Compare 28 and -75
  Swap 28 and -75
  List after swap: [-75, 28, -99, -59, 18, 69, 70]
  Compare 28 and -99
  Swap 28 and -99
  List after swap: [-75, -99, 28, -59, 18, 69, 70]
  Compare 28 and -59
  Swap 28 and -59
  List after swap: [-75, -99, -59, 28, 18, 69, 70]
  Compare 28 and 18
  Swap 28 and 18
  List after swap: [-75, -99, -59, 18, 28, 69, 70]

Pass 4:
  Compare -75 and -99
  Swap -75 and -99
  List after swap: [-99, -75, -59, 18, 28, 69, 70]
  Compare -75 and -59
  No swap needed
  Compare -59 and 18
  No swap needed

Pass 5:
  Compare -99 and -75
  No swap needed
  Compare -75 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -75, -59, 18, 28, 69, 70]
</think>

<response>-99, -75, -59, 18, 28, 69, 70</response>


input: Arrange the numbers 98, -61, 57 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [98, -61, 57]

Pass 1:
  Compare 98 and -61
  Swap 98 and -61
  List after swap: [-61, 98, 57]
  Compare 98 and 57
  Swap 98 and 57
  List after swap: [-61, 57, 98]

Pass 2:
  Compare -61 and 57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, 57, 98]
</think>

<response>-61, 57, 98</response>


input: Use the bubble sort technique to reorder 57, 60, 75, -69, -70, 73, -55, -35 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [57, 60, 75, -69, -70, 73, -55, -35]

Pass 1:
  Compare 57 and 60
  No swap needed
  Compare 60 and 75
  No swap needed
  Compare 75 and -69
  Swap 75 and -69
  List after swap: [57, 60, -69, 75, -70, 73, -55, -35]
  Compare 75 and -70
  Swap 75 and -70
  List after swap: [57, 60, -69, -70, 75, 73, -55, -35]
  Compare 75 and 73
  Swap 75 and 73
  List after swap: [57, 60, -69, -70, 73, 75, -55, -35]
  Compare 75 and -55
  Swap 75 and -55
  List after swap: [57, 60, -69, -70, 73, -55, 75, -35]
  Compare 75 and -35
  Swap 75 and -35
  List after swap: [57, 60, -69, -70, 73, -55, -35, 75]

Pass 2:
  Compare 57 and 60
  No swap needed
  Compare 60 and -69
  Swap 60 and -69
  List after swap: [57, -69, 60, -70, 73, -55, -35, 75]
  Compare 60 and -70
  Swap 60 and -70
  List after swap: [57, -69, -70, 60, 73, -55, -35, 75]
  Compare 60 and 73
  No swap needed
  Compare 73 and -55
  Swap 73 and -55
  List after swap: [57, -69, -70, 60, -55, 73, -35, 75]
  Compare 73 and -35
  Swap 73 and -35
  List after swap: [57, -69, -70, 60, -55, -35, 73, 75]

Pass 3:
  Compare 57 and -69
  Swap 57 and -69
  List after swap: [-69, 57, -70, 60, -55, -35, 73, 75]
  Compare 57 and -70
  Swap 57 and -70
  List after swap: [-69, -70, 57, 60, -55, -35, 73, 75]
  Compare 57 and 60
  No swap needed
  Compare 60 and -55
  Swap 60 and -55
  List after swap: [-69, -70, 57, -55, 60, -35, 73, 75]
  Compare 60 and -35
  Swap 60 and -35
  List after swap: [-69, -70, 57, -55, -35, 60, 73, 75]

Pass 4:
  Compare -69 and -70
  Swap -69 and -70
  List after swap: [-70, -69, 57, -55, -35, 60, 73, 75]
  Compare -69 and 57
  No swap needed
  Compare 57 and -55
  Swap 57 and -55
  List after swap: [-70, -69, -55, 57, -35, 60, 73, 75]
  Compare 57 and -35
  Swap 57 and -35
  List after swap: [-70, -69, -55, -35, 57, 60, 73, 75]

Pass 5:
  Compare -70 and -69
  No swap needed
  Compare -69 and -55
  No swap needed
  Compare -55 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -69, -55, -35, 57, 60, 73, 75]
</think>

<response>-70, -69, -55, -35, 57, 60, 73, 75</response>


input: Sort these integers -39, 53, -73, 66, -96, 73 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-39, 53, -73, 66, -96, 73]

Pass 1:
  Compare -39 and 53
  No swap needed
  Compare 53 and -73
  Swap 53 and -73
  List after swap: [-39, -73, 53, 66, -96, 73]
  Compare 53 and 66
  No swap needed
  Compare 66 and -96
  Swap 66 and -96
  List after swap: [-39, -73, 53, -96, 66, 73]
  Compare 66 and 73
  No swap needed

Pass 2:
  Compare -39 and -73
  Swap -39 and -73
  List after swap: [-73, -39, 53, -96, 66, 73]
  Compare -39 and 53
  No swap needed
  Compare 53 and -96
  Swap 53 and -96
  List after swap: [-73, -39, -96, 53, 66, 73]
  Compare 53 and 66
  No swap needed

Pass 3:
  Compare -73 and -39
  No swap needed
  Compare -39 and -96
  Swap -39 and -96
  List after swap: [-73, -96, -39, 53, 66, 73]
  Compare -39 and 53
  No swap needed

Pass 4:
  Compare -73 and -96
  Swap -73 and -96
  List after swap: [-96, -73, -39, 53, 66, 73]
  Compare -73 and -39
  No swap needed

Pass 5:
  Compare -96 and -73
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -73, -39, 53, 66, 73]
</think>

<response>-96, -73, -39, 53, 66, 73</response>


input: Arrange the numbers -41, 8, 98, -82, 70, 39, -55, 87 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-41, 8, 98, -82, 70, 39, -55, 87]

Pass 1:
  Compare -41 and 8
  No swap needed
  Compare 8 and 98
  No swap needed
  Compare 98 and -82
  Swap 98 and -82
  List after swap: [-41, 8, -82, 98, 70, 39, -55, 87]
  Compare 98 and 70
  Swap 98 and 70
  List after swap: [-41, 8, -82, 70, 98, 39, -55, 87]
  Compare 98 and 39
  Swap 98 and 39
  List after swap: [-41, 8, -82, 70, 39, 98, -55, 87]
  Compare 98 and -55
  Swap 98 and -55
  List after swap: [-41, 8, -82, 70, 39, -55, 98, 87]
  Compare 98 and 87
  Swap 98 and 87
  List after swap: [-41, 8, -82, 70, 39, -55, 87, 98]

Pass 2:
  Compare -41 and 8
  No swap needed
  Compare 8 and -82
  Swap 8 and -82
  List after swap: [-41, -82, 8, 70, 39, -55, 87, 98]
  Compare 8 and 70
  No swap needed
  Compare 70 and 39
  Swap 70 and 39
  List after swap: [-41, -82, 8, 39, 70, -55, 87, 98]
  Compare 70 and -55
  Swap 70 and -55
  List after swap: [-41, -82, 8, 39, -55, 70, 87, 98]
  Compare 70 and 87
  No swap needed

Pass 3:
  Compare -41 and -82
  Swap -41 and -82
  List after swap: [-82, -41, 8, 39, -55, 70, 87, 98]
  Compare -41 and 8
  No swap needed
  Compare 8 and 39
  No swap needed
  Compare 39 and -55
  Swap 39 and -55
  List after swap: [-82, -41, 8, -55, 39, 70, 87, 98]
  Compare 39 and 70
  No swap needed

Pass 4:
  Compare -82 and -41
  No swap needed
  Compare -41 and 8
  No swap needed
  Compare 8 and -55
  Swap 8 and -55
  List after swap: [-82, -41, -55, 8, 39, 70, 87, 98]
  Compare 8 and 39
  No swap needed

Pass 5:
  Compare -82 and -41
  No swap needed
  Compare -41 and -55
  Swap -41 and -55
  List after swap: [-82, -55, -41, 8, 39, 70, 87, 98]
  Compare -41 and 8
  No swap needed

Pass 6:
  Compare -82 and -55
  No swap needed
  Compare -55 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -55, -41, 8, 39, 70, 87, 98]
</think>

<response>-82, -55, -41, 8, 39, 70, 87, 98</response>


input: Demonstrate how bubble sort orders the integers 46, 90, -19, 27, 33, -1, 61, 54 in ascending sequence, showing all steps.

output:
<think>
Initial list: [46, 90, -19, 27, 33, -1, 61, 54]

Pass 1:
  Compare 46 and 90
  No swap needed
  Compare 90 and -19
  Swap 90 and -19
  List after swap: [46, -19, 90, 27, 33, -1, 61, 54]
  Compare 90 and 27
  Swap 90 and 27
  List after swap: [46, -19, 27, 90, 33, -1, 61, 54]
  Compare 90 and 33
  Swap 90 and 33
  List after swap: [46, -19, 27, 33, 90, -1, 61, 54]
  Compare 90 and -1
  Swap 90 and -1
  List after swap: [46, -19, 27, 33, -1, 90, 61, 54]
  Compare 90 and 61
  Swap 90 and 61
  List after swap: [46, -19, 27, 33, -1, 61, 90, 54]
  Compare 90 and 54
  Swap 90 and 54
  List after swap: [46, -19, 27, 33, -1, 61, 54, 90]

Pass 2:
  Compare 46 and -19
  Swap 46 and -19
  List after swap: [-19, 46, 27, 33, -1, 61, 54, 90]
  Compare 46 and 27
  Swap 46 and 27
  List after swap: [-19, 27, 46, 33, -1, 61, 54, 90]
  Compare 46 and 33
  Swap 46 and 33
  List after swap: [-19, 27, 33, 46, -1, 61, 54, 90]
  Compare 46 and -1
  Swap 46 and -1
  List after swap: [-19, 27, 33, -1, 46, 61, 54, 90]
  Compare 46 and 61
  No swap needed
  Compare 61 and 54
  Swap 61 and 54
  List after swap: [-19, 27, 33, -1, 46, 54, 61, 90]

Pass 3:
  Compare -19 and 27
  No swap needed
  Compare 27 and 33
  No swap needed
  Compare 33 and -1
  Swap 33 and -1
  List after swap: [-19, 27, -1, 33, 46, 54, 61, 90]
  Compare 33 and 46
  No swap needed
  Compare 46 and 54
  No swap needed

Pass 4:
  Compare -19 and 27
  No swap needed
  Compare 27 and -1
  Swap 27 and -1
  List after swap: [-19, -1, 27, 33, 46, 54, 61, 90]
  Compare 27 and 33
  No swap needed
  Compare 33 and 46
  No swap needed

Pass 5:
  Compare -19 and -1
  No swap needed
  Compare -1 and 27
  No swap needed
  Compare 27 and 33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-19, -1, 27, 33, 46, 54, 61, 90]
</think>

<response>-19, -1, 27, 33, 46, 54, 61, 90</response>


input: Sort the list -50, 99 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-50, 99]

Pass 1:
  Compare -50 and 99
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, 99]
</think>

<response>-50, 99</response>


input: Carry out the bubble sort algorithm on 56, 24, -7, 83, 42, 29, -91 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [56, 24, -7, 83, 42, 29, -91]

Pass 1:
  Compare 56 and 24
  Swap 56 and 24
  List after swap: [24, 56, -7, 83, 42, 29, -91]
  Compare 56 and -7
  Swap 56 and -7
  List after swap: [24, -7, 56, 83, 42, 29, -91]
  Compare 56 and 83
  No swap needed
  Compare 83 and 42
  Swap 83 and 42
  List after swap: [24, -7, 56, 42, 83, 29, -91]
  Compare 83 and 29
  Swap 83 and 29
  List after swap: [24, -7, 56, 42, 29, 83, -91]
  Compare 83 and -91
  Swap 83 and -91
  List after swap: [24, -7, 56, 42, 29, -91, 83]

Pass 2:
  Compare 24 and -7
  Swap 24 and -7
  List after swap: [-7, 24, 56, 42, 29, -91, 83]
  Compare 24 and 56
  No swap needed
  Compare 56 and 42
  Swap 56 and 42
  List after swap: [-7, 24, 42, 56, 29, -91, 83]
  Compare 56 and 29
  Swap 56 and 29
  List after swap: [-7, 24, 42, 29, 56, -91, 83]
  Compare 56 and -91
  Swap 56 and -91
  List after swap: [-7, 24, 42, 29, -91, 56, 83]

Pass 3:
  Compare -7 and 24
  No swap needed
  Compare 24 and 42
  No swap needed
  Compare 42 and 29
  Swap 42 and 29
  List after swap: [-7, 24, 29, 42, -91, 56, 83]
  Compare 42 and -91
  Swap 42 and -91
  List after swap: [-7, 24, 29, -91, 42, 56, 83]

Pass 4:
  Compare -7 and 24
  No swap needed
  Compare 24 and 29
  No swap needed
  Compare 29 and -91
  Swap 29 and -91
  List after swap: [-7, 24, -91, 29, 42, 56, 83]

Pass 5:
  Compare -7 and 24
  No swap needed
  Compare 24 and -91
  Swap 24 and -91
  List after swap: [-7, -91, 24, 29, 42, 56, 83]

Pass 6:
  Compare -7 and -91
  Swap -7 and -91
  List after swap: [-91, -7, 24, 29, 42, 56, 83]

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

Final sorted list: [-91, -7, 24, 29, 42, 56, 83]
</think>

<response>-91, -7, 24, 29, 42, 56, 83</response>


input: Use the bubble sort technique to reorder 39, 1 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [39, 1]

Pass 1:
  Compare 39 and 1
  Swap 39 and 1
  List after swap: [1, 39]

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

Final sorted list: [1, 39]
</think>

<response>1, 39</response>


input: Demonstrate how bubble sort orders the integers 18, 94, 61, -81, 47, 40 in ascending sequence, showing all steps.

output:
<think>
Initial list: [18, 94, 61, -81, 47, 40]

Pass 1:
  Compare 18 and 94
  No swap needed
  Compare 94 and 61
  Swap 94 and 61
  List after swap: [18, 61, 94, -81, 47, 40]
  Compare 94 and -81
  Swap 94 and -81
  List after swap: [18, 61, -81, 94, 47, 40]
  Compare 94 and 47
  Swap 94 and 47
  List after swap: [18, 61, -81, 47, 94, 40]
  Compare 94 and 40
  Swap 94 and 40
  List after swap: [18, 61, -81, 47, 40, 94]

Pass 2:
  Compare 18 and 61
  No swap needed
  Compare 61 and -81
  Swap 61 and -81
  List after swap: [18, -81, 61, 47, 40, 94]
  Compare 61 and 47
  Swap 61 and 47
  List after swap: [18, -81, 47, 61, 40, 94]
  Compare 61 and 40
  Swap 61 and 40
  List after swap: [18, -81, 47, 40, 61, 94]

Pass 3:
  Compare 18 and -81
  Swap 18 and -81
  List after swap: [-81, 18, 47, 40, 61, 94]
  Compare 18 and 47
  No swap needed
  Compare 47 and 40
  Swap 47 and 40
  List after swap: [-81, 18, 40, 47, 61, 94]

Pass 4:
  Compare -81 and 18
  No swap needed
  Compare 18 and 40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, 18, 40, 47, 61, 94]
</think>

<response>-81, 18, 40, 47, 61, 94</response>


input: Execute bubble sort to sort 80, -27, -11, -39, -75 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [80, -27, -11, -39, -75]

Pass 1:
  Compare 80 and -27
  Swap 80 and -27
  List after swap: [-27, 80, -11, -39, -75]
  Compare 80 and -11
  Swap 80 and -11
  List after swap: [-27, -11, 80, -39, -75]
  Compare 80 and -39
  Swap 80 and -39
  List after swap: [-27, -11, -39, 80, -75]
  Compare 80 and -75
  Swap 80 and -75
  List after swap: [-27, -11, -39, -75, 80]

Pass 2:
  Compare -27 and -11
  No swap needed
  Compare -11 and -39
  Swap -11 and -39
  List after swap: [-27, -39, -11, -75, 80]
  Compare -11 and -75
  Swap -11 and -75
  List after swap: [-27, -39, -75, -11, 80]

Pass 3:
  Compare -27 and -39
  Swap -27 and -39
  List after swap: [-39, -27, -75, -11, 80]
  Compare -27 and -75
  Swap -27 and -75
  List after swap: [-39, -75, -27, -11, 80]

Pass 4:
  Compare -39 and -75
  Swap -39 and -75
  List after swap: [-75, -39, -27, -11, 80]

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

Final sorted list: [-75, -39, -27, -11, 80]
</think>

<response>-75, -39, -27, -11, 80</response>


input: Sort these integers -70, -25, 61, -75, 5, 37, -68 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-70, -25, 61, -75, 5, 37, -68]

Pass 1:
  Compare -70 and -25
  No swap needed
  Compare -25 and 61
  No swap needed
  Compare 61 and -75
  Swap 61 and -75
  List after swap: [-70, -25, -75, 61, 5, 37, -68]
  Compare 61 and 5
  Swap 61 and 5
  List after swap: [-70, -25, -75, 5, 61, 37, -68]
  Compare 61 and 37
  Swap 61 and 37
  List after swap: [-70, -25, -75, 5, 37, 61, -68]
  Compare 61 and -68
  Swap 61 and -68
  List after swap: [-70, -25, -75, 5, 37, -68, 61]

Pass 2:
  Compare -70 and -25
  No swap needed
  Compare -25 and -75
  Swap -25 and -75
  List after swap: [-70, -75, -25, 5, 37, -68, 61]
  Compare -25 and 5
  No swap needed
  Compare 5 and 37
  No swap needed
  Compare 37 and -68
  Swap 37 and -68
  List after swap: [-70, -75, -25, 5, -68, 37, 61]

Pass 3:
  Compare -70 and -75
  Swap -70 and -75
  List after swap: [-75, -70, -25, 5, -68, 37, 61]
  Compare -70 and -25
  No swap needed
  Compare -25 and 5
  No swap needed
  Compare 5 and -68
  Swap 5 and -68
  List after swap: [-75, -70, -25, -68, 5, 37, 61]

Pass 4:
  Compare -75 and -70
  No swap needed
  Compare -70 and -25
  No swap needed
  Compare -25 and -68
  Swap -25 and -68
  List after swap: [-75, -70, -68, -25, 5, 37, 61]

Pass 5:
  Compare -75 and -70
  No swap needed
  Compare -70 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -70, -68, -25, 5, 37, 61]
</think>

<response>-75, -70, -68, -25, 5, 37, 61</response>


input: Use the bubble sort technique to reorder 5, 12, -60, 64, 45, -66, -21 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [5, 12, -60, 64, 45, -66, -21]

Pass 1:
  Compare 5 and 12
  No swap needed
  Compare 12 and -60
  Swap 12 and -60
  List after swap: [5, -60, 12, 64, 45, -66, -21]
  Compare 12 and 64
  No swap needed
  Compare 64 and 45
  Swap 64 and 45
  List after swap: [5, -60, 12, 45, 64, -66, -21]
  Compare 64 and -66
  Swap 64 and -66
  List after swap: [5, -60, 12, 45, -66, 64, -21]
  Compare 64 and -21
  Swap 64 and -21
  List after swap: [5, -60, 12, 45, -66, -21, 64]

Pass 2:
  Compare 5 and -60
  Swap 5 and -60
  List after swap: [-60, 5, 12, 45, -66, -21, 64]
  Compare 5 and 12
  No swap needed
  Compare 12 and 45
  No swap needed
  Compare 45 and -66
  Swap 45 and -66
  List after swap: [-60, 5, 12, -66, 45, -21, 64]
  Compare 45 and -21
  Swap 45 and -21
  List after swap: [-60, 5, 12, -66, -21, 45, 64]

Pass 3:
  Compare -60 and 5
  No swap needed
  Compare 5 and 12
  No swap needed
  Compare 12 and -66
  Swap 12 and -66
  List after swap: [-60, 5, -66, 12, -21, 45, 64]
  Compare 12 and -21
  Swap 12 and -21
  List after swap: [-60, 5, -66, -21, 12, 45, 64]

Pass 4:
  Compare -60 and 5
  No swap needed
  Compare 5 and -66
  Swap 5 and -66
  List after swap: [-60, -66, 5, -21, 12, 45, 64]
  Compare 5 and -21
  Swap 5 and -21
  List after swap: [-60, -66, -21, 5, 12, 45, 64]

Pass 5:
  Compare -60 and -66
  Swap -60 and -66
  List after swap: [-66, -60, -21, 5, 12, 45, 64]
  Compare -60 and -21
  No swap needed

Pass 6:
  Compare -66 and -60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, -60, -21, 5, 12, 45, 64]
</think>

<response>-66, -60, -21, 5, 12, 45, 64</response>


input: Arrange the numbers 73, -8, -96, -86, 34, -99, 67, -32 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [73, -8, -96, -86, 34, -99, 67, -32]

Pass 1:
  Compare 73 and -8
  Swap 73 and -8
  List after swap: [-8, 73, -96, -86, 34, -99, 67, -32]
  Compare 73 and -96
  Swap 73 and -96
  List after swap: [-8, -96, 73, -86, 34, -99, 67, -32]
  Compare 73 and -86
  Swap 73 and -86
  List after swap: [-8, -96, -86, 73, 34, -99, 67, -32]
  Compare 73 and 34
  Swap 73 and 34
  List after swap: [-8, -96, -86, 34, 73, -99, 67, -32]
  Compare 73 and -99
  Swap 73 and -99
  List after swap: [-8, -96, -86, 34, -99, 73, 67, -32]
  Compare 73 and 67
  Swap 73 and 67
  List after swap: [-8, -96, -86, 34, -99, 67, 73, -32]
  Compare 73 and -32
  Swap 73 and -32
  List after swap: [-8, -96, -86, 34, -99, 67, -32, 73]

Pass 2:
  Compare -8 and -96
  Swap -8 and -96
  List after swap: [-96, -8, -86, 34, -99, 67, -32, 73]
  Compare -8 and -86
  Swap -8 and -86
  List after swap: [-96, -86, -8, 34, -99, 67, -32, 73]
  Compare -8 and 34
  No swap needed
  Compare 34 and -99
  Swap 34 and -99
  List after swap: [-96, -86, -8, -99, 34, 67, -32, 73]
  Compare 34 and 67
  No swap needed
  Compare 67 and -32
  Swap 67 and -32
  List after swap: [-96, -86, -8, -99, 34, -32, 67, 73]

Pass 3:
  Compare -96 and -86
  No swap needed
  Compare -86 and -8
  No swap needed
  Compare -8 and -99
  Swap -8 and -99
  List after swap: [-96, -86, -99, -8, 34, -32, 67, 73]
  Compare -8 and 34
  No swap needed
  Compare 34 and -32
  Swap 34 and -32
  List after swap: [-96, -86, -99, -8, -32, 34, 67, 73]

Pass 4:
  Compare -96 and -86
  No swap needed
  Compare -86 and -99
  Swap -86 and -99
  List after swap: [-96, -99, -86, -8, -32, 34, 67, 73]
  Compare -86 and -8
  No swap needed
  Compare -8 and -32
  Swap -8 and -32
  List after swap: [-96, -99, -86, -32, -8, 34, 67, 73]

Pass 5:
  Compare -96 and -99
  Swap -96 and -99
  List after swap: [-99, -96, -86, -32, -8, 34, 67, 73]
  Compare -96 and -86
  No swap needed
  Compare -86 and -32
  No swap needed

Pass 6:
  Compare -99 and -96
  No swap needed
  Compare -96 and -86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -96, -86, -32, -8, 34, 67, 73]
</think>

<response>-99, -96, -86, -32, -8, 34, 67, 73</response>


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

output:
<think>
Initial list: [80, 73]

Pass 1:
  Compare 80 and 73
  Swap 80 and 73
  List after swap: [73, 80]

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

Final sorted list: [73, 80]
</think>

<response>73, 80</response>


input: Demonstrate how bubble sort orders the integers -39, 15, -34, -42, 96, -15, 41, -95 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-39, 15, -34, -42, 96, -15, 41, -95]

Pass 1:
  Compare -39 and 15
  No swap needed
  Compare 15 and -34
  Swap 15 and -34
  List after swap: [-39, -34, 15, -42, 96, -15, 41, -95]
  Compare 15 and -42
  Swap 15 and -42
  List after swap: [-39, -34, -42, 15, 96, -15, 41, -95]
  Compare 15 and 96
  No swap needed
  Compare 96 and -15
  Swap 96 and -15
  List after swap: [-39, -34, -42, 15, -15, 96, 41, -95]
  Compare 96 and 41
  Swap 96 and 41
  List after swap: [-39, -34, -42, 15, -15, 41, 96, -95]
  Compare 96 and -95
  Swap 96 and -95
  List after swap: [-39, -34, -42, 15, -15, 41, -95, 96]

Pass 2:
  Compare -39 and -34
  No swap needed
  Compare -34 and -42
  Swap -34 and -42
  List after swap: [-39, -42, -34, 15, -15, 41, -95, 96]
  Compare -34 and 15
  No swap needed
  Compare 15 and -15
  Swap 15 and -15
  List after swap: [-39, -42, -34, -15, 15, 41, -95, 96]
  Compare 15 and 41
  No swap needed
  Compare 41 and -95
  Swap 41 and -95
  List after swap: [-39, -42, -34, -15, 15, -95, 41, 96]

Pass 3:
  Compare -39 and -42
  Swap -39 and -42
  List after swap: [-42, -39, -34, -15, 15, -95, 41, 96]
  Compare -39 and -34
  No swap needed
  Compare -34 and -15
  No swap needed
  Compare -15 and 15
  No swap needed
  Compare 15 and -95
  Swap 15 and -95
  List after swap: [-42, -39, -34, -15, -95, 15, 41, 96]

Pass 4:
  Compare -42 and -39
  No swap needed
  Compare -39 and -34
  No swap needed
  Compare -34 and -15
  No swap needed
  Compare -15 and -95
  Swap -15 and -95
  List after swap: [-42, -39, -34, -95, -15, 15, 41, 96]

Pass 5:
  Compare -42 and -39
  No swap needed
  Compare -39 and -34
  No swap needed
  Compare -34 and -95
  Swap -34 and -95
  List after swap: [-42, -39, -95, -34, -15, 15, 41, 96]

Pass 6:
  Compare -42 and -39
  No swap needed
  Compare -39 and -95
  Swap -39 and -95
  List after swap: [-42, -95, -39, -34, -15, 15, 41, 96]

Pass 7:
  Compare -42 and -95
  Swap -42 and -95
  List after swap: [-95, -42, -39, -34, -15, 15, 41, 96]

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

Final sorted list: [-95, -42, -39, -34, -15, 15, 41, 96]
</think>

<response>-95, -42, -39, -34, -15, 15, 41, 96</response>


input: Carry out the bubble sort algorithm on 5, 62, -93, -77, 23 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [5, 62, -93, -77, 23]

Pass 1:
  Compare 5 and 62
  No swap needed
  Compare 62 and -93
  Swap 62 and -93
  List after swap: [5, -93, 62, -77, 23]
  Compare 62 and -77
  Swap 62 and -77
  List after swap: [5, -93, -77, 62, 23]
  Compare 62 and 23
  Swap 62 and 23
  List after swap: [5, -93, -77, 23, 62]

Pass 2:
  Compare 5 and -93
  Swap 5 and -93
  List after swap: [-93, 5, -77, 23, 62]
  Compare 5 and -77
  Swap 5 and -77
  List after swap: [-93, -77, 5, 23, 62]
  Compare 5 and 23
  No swap needed

Pass 3:
  Compare -93 and -77
  No swap needed
  Compare -77 and 5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -77, 5, 23, 62]
</think>

<response>-93, -77, 5, 23, 62</response>


input: Implement bubble sort on 99, 21, -30, -69, -11, 74, -8, 23, -31 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [99, 21, -30, -69, -11, 74, -8, 23, -31]

Pass 1:
  Compare 99 and 21
  Swap 99 and 21
  List after swap: [21, 99, -30, -69, -11, 74, -8, 23, -31]
  Compare 99 and -30
  Swap 99 and -30
  List after swap: [21, -30, 99, -69, -11, 74, -8, 23, -31]
  Compare 99 and -69
  Swap 99 and -69
  List after swap: [21, -30, -69, 99, -11, 74, -8, 23, -31]
  Compare 99 and -11
  Swap 99 and -11
  List after swap: [21, -30, -69, -11, 99, 74, -8, 23, -31]
  Compare 99 and 74
  Swap 99 and 74
  List after swap: [21, -30, -69, -11, 74, 99, -8, 23, -31]
  Compare 99 and -8
  Swap 99 and -8
  List after swap: [21, -30, -69, -11, 74, -8, 99, 23, -31]
  Compare 99 and 23
  Swap 99 and 23
  List after swap: [21, -30, -69, -11, 74, -8, 23, 99, -31]
  Compare 99 and -31
  Swap 99 and -31
  List after swap: [21, -30, -69, -11, 74, -8, 23, -31, 99]

Pass 2:
  Compare 21 and -30
  Swap 21 and -30
  List after swap: [-30, 21, -69, -11, 74, -8, 23, -31, 99]
  Compare 21 and -69
  Swap 21 and -69
  List after swap: [-30, -69, 21, -11, 74, -8, 23, -31, 99]
  Compare 21 and -11
  Swap 21 and -11
  List after swap: [-30, -69, -11, 21, 74, -8, 23, -31, 99]
  Compare 21 and 74
  No swap needed
  Compare 74 and -8
  Swap 74 and -8
  List after swap: [-30, -69, -11, 21, -8, 74, 23, -31, 99]
  Compare 74 and 23
  Swap 74 and 23
  List after swap: [-30, -69, -11, 21, -8, 23, 74, -31, 99]
  Compare 74 and -31
  Swap 74 and -31
  List after swap: [-30, -69, -11, 21, -8, 23, -31, 74, 99]

Pass 3:
  Compare -30 and -69
  Swap -30 and -69
  List after swap: [-69, -30, -11, 21, -8, 23, -31, 74, 99]
  Compare -30 and -11
  No swap needed
  Compare -11 and 21
  No swap needed
  Compare 21 and -8
  Swap 21 and -8
  List after swap: [-69, -30, -11, -8, 21, 23, -31, 74, 99]
  Compare 21 and 23
  No swap needed
  Compare 23 and -31
  Swap 23 and -31
  List after swap: [-69, -30, -11, -8, 21, -31, 23, 74, 99]

Pass 4:
  Compare -69 and -30
  No swap needed
  Compare -30 and -11
  No swap needed
  Compare -11 and -8
  No swap needed
  Compare -8 and 21
  No swap needed
  Compare 21 and -31
  Swap 21 and -31
  List after swap: [-69, -30, -11, -8, -31, 21, 23, 74, 99]

Pass 5:
  Compare -69 and -30
  No swap needed
  Compare -30 and -11
  No swap needed
  Compare -11 and -8
  No swap needed
  Compare -8 and -31
  Swap -8 and -31
  List after swap: [-69, -30, -11, -31, -8, 21, 23, 74, 99]

Pass 6:
  Compare -69 and -30
  No swap needed
  Compare -30 and -11
  No swap needed
  Compare -11 and -31
  Swap -11 and -31
  List after swap: [-69, -30, -31, -11, -8, 21, 23, 74, 99]

Pass 7:
  Compare -69 and -30
  No swap needed
  Compare -30 and -31
  Swap -30 and -31
  List after swap: [-69, -31, -30, -11, -8, 21, 23, 74, 99]

Pass 8:
  Compare -69 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -31, -30, -11, -8, 21, 23, 74, 99]
</think>

<response>-69, -31, -30, -11, -8, 21, 23, 74, 99</response>


input: Execute bubble sort to sort -80, 91, -75 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-80, 91, -75]

Pass 1:
  Compare -80 and 91
  No swap needed
  Compare 91 and -75
  Swap 91 and -75
  List after swap: [-80, -75, 91]

Pass 2:
  Compare -80 and -75
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -75, 91]
</think>

<response>-80, -75, 91</response>


input: Sort these integers 60, 17, -36, -18, 27, -61, -66 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [60, 17, -36, -18, 27, -61, -66]

Pass 1:
  Compare 60 and 17
  Swap 60 and 17
  List after swap: [17, 60, -36, -18, 27, -61, -66]
  Compare 60 and -36
  Swap 60 and -36
  List after swap: [17, -36, 60, -18, 27, -61, -66]
  Compare 60 and -18
  Swap 60 and -18
  List after swap: [17, -36, -18, 60, 27, -61, -66]
  Compare 60 and 27
  Swap 60 and 27
  List after swap: [17, -36, -18, 27, 60, -61, -66]
  Compare 60 and -61
  Swap 60 and -61
  List after swap: [17, -36, -18, 27, -61, 60, -66]
  Compare 60 and -66
  Swap 60 and -66
  List after swap: [17, -36, -18, 27, -61, -66, 60]

Pass 2:
  Compare 17 and -36
  Swap 17 and -36
  List after swap: [-36, 17, -18, 27, -61, -66, 60]
  Compare 17 and -18
  Swap 17 and -18
  List after swap: [-36, -18, 17, 27, -61, -66, 60]
  Compare 17 and 27
  No swap needed
  Compare 27 and -61
  Swap 27 and -61
  List after swap: [-36, -18, 17, -61, 27, -66, 60]
  Compare 27 and -66
  Swap 27 and -66
  List after swap: [-36, -18, 17, -61, -66, 27, 60]

Pass 3:
  Compare -36 and -18
  No swap needed
  Compare -18 and 17
  No swap needed
  Compare 17 and -61
  Swap 17 and -61
  List after swap: [-36, -18, -61, 17, -66, 27, 60]
  Compare 17 and -66
  Swap 17 and -66
  List after swap: [-36, -18, -61, -66, 17, 27, 60]

Pass 4:
  Compare -36 and -18
  No swap needed
  Compare -18 and -61
  Swap -18 and -61
  List after swap: [-36, -61, -18, -66, 17, 27, 60]
  Compare -18 and -66
  Swap -18 and -66
  List after swap: [-36, -61, -66, -18, 17, 27, 60]

Pass 5:
  Compare -36 and -61
  Swap -36 and -61
  List after swap: [-61, -36, -66, -18, 17, 27, 60]
  Compare -36 and -66
  Swap -36 and -66
  List after swap: [-61, -66, -36, -18, 17, 27, 60]

Pass 6:
  Compare -61 and -66
  Swap -61 and -66
  List after swap: [-66, -61, -36, -18, 17, 27, 60]

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

Final sorted list: [-66, -61, -36, -18, 17, 27, 60]
</think>

<response>-66, -61, -36, -18, 17, 27, 60</response>


input: Sort these integers 57, 45 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [57, 45]

Pass 1:
  Compare 57 and 45
  Swap 57 and 45
  List after swap: [45, 57]

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

Final sorted list: [45, 57]
</think>

<response>45, 57</response>


input: Use the bubble sort technique to reorder 53, 33, 40, 10, -90, 70, 55, 9, -93 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [53, 33, 40, 10, -90, 70, 55, 9, -93]

Pass 1:
  Compare 53 and 33
  Swap 53 and 33
  List after swap: [33, 53, 40, 10, -90, 70, 55, 9, -93]
  Compare 53 and 40
  Swap 53 and 40
  List after swap: [33, 40, 53, 10, -90, 70, 55, 9, -93]
  Compare 53 and 10
  Swap 53 and 10
  List after swap: [33, 40, 10, 53, -90, 70, 55, 9, -93]
  Compare 53 and -90
  Swap 53 and -90
  List after swap: [33, 40, 10, -90, 53, 70, 55, 9, -93]
  Compare 53 and 70
  No swap needed
  Compare 70 and 55
  Swap 70 and 55
  List after swap: [33, 40, 10, -90, 53, 55, 70, 9, -93]
  Compare 70 and 9
  Swap 70 and 9
  List after swap: [33, 40, 10, -90, 53, 55, 9, 70, -93]
  Compare 70 and -93
  Swap 70 and -93
  List after swap: [33, 40, 10, -90, 53, 55, 9, -93, 70]

Pass 2:
  Compare 33 and 40
  No swap needed
  Compare 40 and 10
  Swap 40 and 10
  List after swap: [33, 10, 40, -90, 53, 55, 9, -93, 70]
  Compare 40 and -90
  Swap 40 and -90
  List after swap: [33, 10, -90, 40, 53, 55, 9, -93, 70]
  Compare 40 and 53
  No swap needed
  Compare 53 and 55
  No swap needed
  Compare 55 and 9
  Swap 55 and 9
  List after swap: [33, 10, -90, 40, 53, 9, 55, -93, 70]
  Compare 55 and -93
  Swap 55 and -93
  List after swap: [33, 10, -90, 40, 53, 9, -93, 55, 70]

Pass 3:
  Compare 33 and 10
  Swap 33 and 10
  List after swap: [10, 33, -90, 40, 53, 9, -93, 55, 70]
  Compare 33 and -90
  Swap 33 and -90
  List after swap: [10, -90, 33, 40, 53, 9, -93, 55, 70]
  Compare 33 and 40
  No swap needed
  Compare 40 and 53
  No swap needed
  Compare 53 and 9
  Swap 53 and 9
  List after swap: [10, -90, 33, 40, 9, 53, -93, 55, 70]
  Compare 53 and -93
  Swap 53 and -93
  List after swap: [10, -90, 33, 40, 9, -93, 53, 55, 70]

Pass 4:
  Compare 10 and -90
  Swap 10 and -90
  List after swap: [-90, 10, 33, 40, 9, -93, 53, 55, 70]
  Compare 10 and 33
  No swap needed
  Compare 33 and 40
  No swap needed
  Compare 40 and 9
  Swap 40 and 9
  List after swap: [-90, 10, 33, 9, 40, -93, 53, 55, 70]
  Compare 40 and -93
  Swap 40 and -93
  List after swap: [-90, 10, 33, 9, -93, 40, 53, 55, 70]

Pass 5:
  Compare -90 and 10
  No swap needed
  Compare 10 and 33
  No swap needed
  Compare 33 and 9
  Swap 33 and 9
  List after swap: [-90, 10, 9, 33, -93, 40, 53, 55, 70]
  Compare 33 and -93
  Swap 33 and -93
  List after swap: [-90, 10, 9, -93, 33, 40, 53, 55, 70]

Pass 6:
  Compare -90 and 10
  No swap needed
  Compare 10 and 9
  Swap 10 and 9
  List after swap: [-90, 9, 10, -93, 33, 40, 53, 55, 70]
  Compare 10 and -93
  Swap 10 and -93
  List after swap: [-90, 9, -93, 10, 33, 40, 53, 55, 70]

Pass 7:
  Compare -90 and 9
  No swap needed
  Compare 9 and -93
  Swap 9 and -93
  List after swap: [-90, -93, 9, 10, 33, 40, 53, 55, 70]

Pass 8:
  Compare -90 and -93
  Swap -90 and -93
  List after swap: [-93, -90, 9, 10, 33, 40, 53, 55, 70]

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

Final sorted list: [-93, -90, 9, 10, 33, 40, 53, 55, 70]
</think>

<response>-93, -90, 9, 10, 33, 40, 53, 55, 70</response>


input: Sort these integers -98, 96, 47 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-98, 96, 47]

Pass 1:
  Compare -98 and 96
  No swap needed
  Compare 96 and 47
  Swap 96 and 47
  List after swap: [-98, 47, 96]

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

Final sorted list: [-98, 47, 96]
</think>

<response>-98, 47, 96</response>


input: Perform a bubble sort on the integers -98, 39, -100, 47, -75, -58, 41, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-98, 39, -100, 47, -75, -58, 41]

Pass 1:
  Compare -98 and 39
  No swap needed
  Compare 39 and -100
  Swap 39 and -100
  List after swap: [-98, -100, 39, 47, -75, -58, 41]
  Compare 39 and 47
  No swap needed
  Compare 47 and -75
  Swap 47 and -75
  List after swap: [-98, -100, 39, -75, 47, -58, 41]
  Compare 47 and -58
  Swap 47 and -58
  List after swap: [-98, -100, 39, -75, -58, 47, 41]
  Compare 47 and 41
  Swap 47 and 41
  List after swap: [-98, -100, 39, -75, -58, 41, 47]

Pass 2:
  Compare -98 and -100
  Swap -98 and -100
  List after swap: [-100, -98, 39, -75, -58, 41, 47]
  Compare -98 and 39
  No swap needed
  Compare 39 and -75
  Swap 39 and -75
  List after swap: [-100, -98, -75, 39, -58, 41, 47]
  Compare 39 and -58
  Swap 39 and -58
  List after swap: [-100, -98, -75, -58, 39, 41, 47]
  Compare 39 and 41
  No swap needed

Pass 3:
  Compare -100 and -98
  No swap needed
  Compare -98 and -75
  No swap needed
  Compare -75 and -58
  No swap needed
  Compare -58 and 39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -98, -75, -58, 39, 41, 47]
</think>

<response>-100, -98, -75, -58, 39, 41, 47</response>


input: Sort the list -56, 10, -11, 92, 24, 98, -14 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-56, 10, -11, 92, 24, 98, -14]

Pass 1:
  Compare -56 and 10
  No swap needed
  Compare 10 and -11
  Swap 10 and -11
  List after swap: [-56, -11, 10, 92, 24, 98, -14]
  Compare 10 and 92
  No swap needed
  Compare 92 and 24
  Swap 92 and 24
  List after swap: [-56, -11, 10, 24, 92, 98, -14]
  Compare 92 and 98
  No swap needed
  Compare 98 and -14
  Swap 98 and -14
  List after swap: [-56, -11, 10, 24, 92, -14, 98]

Pass 2:
  Compare -56 and -11
  No swap needed
  Compare -11 and 10
  No swap needed
  Compare 10 and 24
  No swap needed
  Compare 24 and 92
  No swap needed
  Compare 92 and -14
  Swap 92 and -14
  List after swap: [-56, -11, 10, 24, -14, 92, 98]

Pass 3:
  Compare -56 and -11
  No swap needed
  Compare -11 and 10
  No swap needed
  Compare 10 and 24
  No swap needed
  Compare 24 and -14
  Swap 24 and -14
  List after swap: [-56, -11, 10, -14, 24, 92, 98]

Pass 4:
  Compare -56 and -11
  No swap needed
  Compare -11 and 10
  No swap needed
  Compare 10 and -14
  Swap 10 and -14
  List after swap: [-56, -11, -14, 10, 24, 92, 98]

Pass 5:
  Compare -56 and -11
  No swap needed
  Compare -11 and -14
  Swap -11 and -14
  List after swap: [-56, -14, -11, 10, 24, 92, 98]

Pass 6:
  Compare -56 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, -14, -11, 10, 24, 92, 98]
</think>

<response>-56, -14, -11, 10, 24, 92, 98</response>


input: Perform a bubble sort on the integers 15, -1, -73, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [15, -1, -73]

Pass 1:
  Compare 15 and -1
  Swap 15 and -1
  List after swap: [-1, 15, -73]
  Compare 15 and -73
  Swap 15 and -73
  List after swap: [-1, -73, 15]

Pass 2:
  Compare -1 and -73
  Swap -1 and -73
  List after swap: [-73, -1, 15]

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

Final sorted list: [-73, -1, 15]
</think>

<response>-73, -1, 15</response>


input: Demonstrate how bubble sort orders the integers 34, 83, 72, -30, 58, -48, 27, 36, -63, 38 in ascending sequence, showing all steps.

output:
<think>
Initial list: [34, 83, 72, -30, 58, -48, 27, 36, -63, 38]

Pass 1:
  Compare 34 and 83
  No swap needed
  Compare 83 and 72
  Swap 83 and 72
  List after swap: [34, 72, 83, -30, 58, -48, 27, 36, -63, 38]
  Compare 83 and -30
  Swap 83 and -30
  List after swap: [34, 72, -30, 83, 58, -48, 27, 36, -63, 38]
  Compare 83 and 58
  Swap 83 and 58
  List after swap: [34, 72, -30, 58, 83, -48, 27, 36, -63, 38]
  Compare 83 and -48
  Swap 83 and -48
  List after swap: [34, 72, -30, 58, -48, 83, 27, 36, -63, 38]
  Compare 83 and 27
  Swap 83 and 27
  List after swap: [34, 72, -30, 58, -48, 27, 83, 36, -63, 38]
  Compare 83 and 36
  Swap 83 and 36
  List after swap: [34, 72, -30, 58, -48, 27, 36, 83, -63, 38]
  Compare 83 and -63
  Swap 83 and -63
  List after swap: [34, 72, -30, 58, -48, 27, 36, -63, 83, 38]
  Compare 83 and 38
  Swap 83 and 38
  List after swap: [34, 72, -30, 58, -48, 27, 36, -63, 38, 83]

Pass 2:
  Compare 34 and 72
  No swap needed
  Compare 72 and -30
  Swap 72 and -30
  List after swap: [34, -30, 72, 58, -48, 27, 36, -63, 38, 83]
  Compare 72 and 58
  Swap 72 and 58
  List after swap: [34, -30, 58, 72, -48, 27, 36, -63, 38, 83]
  Compare 72 and -48
  Swap 72 and -48
  List after swap: [34, -30, 58, -48, 72, 27, 36, -63, 38, 83]
  Compare 72 and 27
  Swap 72 and 27
  List after swap: [34, -30, 58, -48, 27, 72, 36, -63, 38, 83]
  Compare 72 and 36
  Swap 72 and 36
  List after swap: [34, -30, 58, -48, 27, 36, 72, -63, 38, 83]
  Compare 72 and -63
  Swap 72 and -63
  List after swap: [34, -30, 58, -48, 27, 36, -63, 72, 38, 83]
  Compare 72 and 38
  Swap 72 and 38
  List after swap: [34, -30, 58, -48, 27, 36, -63, 38, 72, 83]

Pass 3:
  Compare 34 and -30
  Swap 34 and -30
  List after swap: [-30, 34, 58, -48, 27, 36, -63, 38, 72, 83]
  Compare 34 and 58
  No swap needed
  Compare 58 and -48
  Swap 58 and -48
  List after swap: [-30, 34, -48, 58, 27, 36, -63, 38, 72, 83]
  Compare 58 and 27
  Swap 58 and 27
  List after swap: [-30, 34, -48, 27, 58, 36, -63, 38, 72, 83]
  Compare 58 and 36
  Swap 58 and 36
  List after swap: [-30, 34, -48, 27, 36, 58, -63, 38, 72, 83]
  Compare 58 and -63
  Swap 58 and -63
  List after swap: [-30, 34, -48, 27, 36, -63, 58, 38, 72, 83]
  Compare 58 and 38
  Swap 58 and 38
  List after swap: [-30, 34, -48, 27, 36, -63, 38, 58, 72, 83]

Pass 4:
  Compare -30 and 34
  No swap needed
  Compare 34 and -48
  Swap 34 and -48
  List after swap: [-30, -48, 34, 27, 36, -63, 38, 58, 72, 83]
  Compare 34 and 27
  Swap 34 and 27
  List after swap: [-30, -48, 27, 34, 36, -63, 38, 58, 72, 83]
  Compare 34 and 36
  No swap needed
  Compare 36 and -63
  Swap 36 and -63
  List after swap: [-30, -48, 27, 34, -63, 36, 38, 58, 72, 83]
  Compare 36 and 38
  No swap needed

Pass 5:
  Compare -30 and -48
  Swap -30 and -48
  List after swap: [-48, -30, 27, 34, -63, 36, 38, 58, 72, 83]
  Compare -30 and 27
  No swap needed
  Compare 27 and 34
  No swap needed
  Compare 34 and -63
  Swap 34 and -63
  List after swap: [-48, -30, 27, -63, 34, 36, 38, 58, 72, 83]
  Compare 34 and 36
  No swap needed

Pass 6:
  Compare -48 and -30
  No swap needed
  Compare -30 and 27
  No swap needed
  Compare 27 and -63
  Swap 27 and -63
  List after swap: [-48, -30, -63, 27, 34, 36, 38, 58, 72, 83]
  Compare 27 and 34
  No swap needed

Pass 7:
  Compare -48 and -30
  No swap needed
  Compare -30 and -63
  Swap -30 and -63
  List after swap: [-48, -63, -30, 27, 34, 36, 38, 58, 72, 83]
  Compare -30 and 27
  No swap needed

Pass 8:
  Compare -48 and -63
  Swap -48 and -63
  List after swap: [-63, -48, -30, 27, 34, 36, 38, 58, 72, 83]
  Compare -48 and -30
  No swap needed

Pass 9:
  Compare -63 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -48, -30, 27, 34, 36, 38, 58, 72, 83]
</think>

<response>-63, -48, -30, 27, 34, 36, 38, 58, 72, 83</response>


input: Sort the list 88, -52, 18, 1, 3, 10, -15, 79, 82 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [88, -52, 18, 1, 3, 10, -15, 79, 82]

Pass 1:
  Compare 88 and -52
  Swap 88 and -52
  List after swap: [-52, 88, 18, 1, 3, 10, -15, 79, 82]
  Compare 88 and 18
  Swap 88 and 18
  List after swap: [-52, 18, 88, 1, 3, 10, -15, 79, 82]
  Compare 88 and 1
  Swap 88 and 1
  List after swap: [-52, 18, 1, 88, 3, 10, -15, 79, 82]
  Compare 88 and 3
  Swap 88 and 3
  List after swap: [-52, 18, 1, 3, 88, 10, -15, 79, 82]
  Compare 88 and 10
  Swap 88 and 10
  List after swap: [-52, 18, 1, 3, 10, 88, -15, 79, 82]
  Compare 88 and -15
  Swap 88 and -15
  List after swap: [-52, 18, 1, 3, 10, -15, 88, 79, 82]
  Compare 88 and 79
  Swap 88 and 79
  List after swap: [-52, 18, 1, 3, 10, -15, 79, 88, 82]
  Compare 88 and 82
  Swap 88 and 82
  List after swap: [-52, 18, 1, 3, 10, -15, 79, 82, 88]

Pass 2:
  Compare -52 and 18
  No swap needed
  Compare 18 and 1
  Swap 18 and 1
  List after swap: [-52, 1, 18, 3, 10, -15, 79, 82, 88]
  Compare 18 and 3
  Swap 18 and 3
  List after swap: [-52, 1, 3, 18, 10, -15, 79, 82, 88]
  Compare 18 and 10
  Swap 18 and 10
  List after swap: [-52, 1, 3, 10, 18, -15, 79, 82, 88]
  Compare 18 and -15
  Swap 18 and -15
  List after swap: [-52, 1, 3, 10, -15, 18, 79, 82, 88]
  Compare 18 and 79
  No swap needed
  Compare 79 and 82
  No swap needed

Pass 3:
  Compare -52 and 1
  No swap needed
  Compare 1 and 3
  No swap needed
  Compare 3 and 10
  No swap needed
  Compare 10 and -15
  Swap 10 and -15
  List after swap: [-52, 1, 3, -15, 10, 18, 79, 82, 88]
  Compare 10 and 18
  No swap needed
  Compare 18 and 79
  No swap needed

Pass 4:
  Compare -52 and 1
  No swap needed
  Compare 1 and 3
  No swap needed
  Compare 3 and -15
  Swap 3 and -15
  List after swap: [-52, 1, -15, 3, 10, 18, 79, 82, 88]
  Compare 3 and 10
  No swap needed
  Compare 10 and 18
  No swap needed

Pass 5:
  Compare -52 and 1
  No swap needed
  Compare 1 and -15
  Swap 1 and -15
  List after swap: [-52, -15, 1, 3, 10, 18, 79, 82, 88]
  Compare 1 and 3
  No swap needed
  Compare 3 and 10
  No swap needed

Pass 6:
  Compare -52 and -15
  No swap needed
  Compare -15 and 1
  No swap needed
  Compare 1 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, -15, 1, 3, 10, 18, 79, 82, 88]
</think>

<response>-52, -15, 1, 3, 10, 18, 79, 82, 88</response>


input: Using the bubble sort method, sort -30, 49, -49, -4 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-30, 49, -49, -4]

Pass 1:
  Compare -30 and 49
  No swap needed
  Compare 49 and -49
  Swap 49 and -49
  List after swap: [-30, -49, 49, -4]
  Compare 49 and -4
  Swap 49 and -4
  List after swap: [-30, -49, -4, 49]

Pass 2:
  Compare -30 and -49
  Swap -30 and -49
  List after swap: [-49, -30, -4, 49]
  Compare -30 and -4
  No swap needed

Pass 3:
  Compare -49 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-49, -30, -4, 49]
</think>

<response>-49, -30, -4, 49</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 0, -82, -30, -93, -37, -46, 78, 26, 69, -87.

output:
<think>
Initial list: [0, -82, -30, -93, -37, -46, 78, 26, 69, -87]

Pass 1:
  Compare 0 and -82
  Swap 0 and -82
  List after swap: [-82, 0, -30, -93, -37, -46, 78, 26, 69, -87]
  Compare 0 and -30
  Swap 0 and -30
  List after swap: [-82, -30, 0, -93, -37, -46, 78, 26, 69, -87]
  Compare 0 and -93
  Swap 0 and -93
  List after swap: [-82, -30, -93, 0, -37, -46, 78, 26, 69, -87]
  Compare 0 and -37
  Swap 0 and -37
  List after swap: [-82, -30, -93, -37, 0, -46, 78, 26, 69, -87]
  Compare 0 and -46
  Swap 0 and -46
  List after swap: [-82, -30, -93, -37, -46, 0, 78, 26, 69, -87]
  Compare 0 and 78
  No swap needed
  Compare 78 and 26
  Swap 78 and 26
  List after swap: [-82, -30, -93, -37, -46, 0, 26, 78, 69, -87]
  Compare 78 and 69
  Swap 78 and 69
  List after swap: [-82, -30, -93, -37, -46, 0, 26, 69, 78, -87]
  Compare 78 and -87
  Swap 78 and -87
  List after swap: [-82, -30, -93, -37, -46, 0, 26, 69, -87, 78]

Pass 2:
  Compare -82 and -30
  No swap needed
  Compare -30 and -93
  Swap -30 and -93
  List after swap: [-82, -93, -30, -37, -46, 0, 26, 69, -87, 78]
  Compare -30 and -37
  Swap -30 and -37
  List after swap: [-82, -93, -37, -30, -46, 0, 26, 69, -87, 78]
  Compare -30 and -46
  Swap -30 and -46
  List after swap: [-82, -93, -37, -46, -30, 0, 26, 69, -87, 78]
  Compare -30 and 0
  No swap needed
  Compare 0 and 26
  No swap needed
  Compare 26 and 69
  No swap needed
  Compare 69 and -87
  Swap 69 and -87
  List after swap: [-82, -93, -37, -46, -30, 0, 26, -87, 69, 78]

Pass 3:
  Compare -82 and -93
  Swap -82 and -93
  List after swap: [-93, -82, -37, -46, -30, 0, 26, -87, 69, 78]
  Compare -82 and -37
  No swap needed
  Compare -37 and -46
  Swap -37 and -46
  List after swap: [-93, -82, -46, -37, -30, 0, 26, -87, 69, 78]
  Compare -37 and -30
  No swap needed
  Compare -30 and 0
  No swap needed
  Compare 0 and 26
  No swap needed
  Compare 26 and -87
  Swap 26 and -87
  List after swap: [-93, -82, -46, -37, -30, 0, -87, 26, 69, 78]

Pass 4:
  Compare -93 and -82
  No swap needed
  Compare -82 and -46
  No swap needed
  Compare -46 and -37
  No swap needed
  Compare -37 and -30
  No swap needed
  Compare -30 and 0
  No swap needed
  Compare 0 and -87
  Swap 0 and -87
  List after swap: [-93, -82, -46, -37, -30, -87, 0, 26, 69, 78]

Pass 5:
  Compare -93 and -82
  No swap needed
  Compare -82 and -46
  No swap needed
  Compare -46 and -37
  No swap needed
  Compare -37 and -30
  No swap needed
  Compare -30 and -87
  Swap -30 and -87
  List after swap: [-93, -82, -46, -37, -87, -30, 0, 26, 69, 78]

Pass 6:
  Compare -93 and -82
  No swap needed
  Compare -82 and -46
  No swap needed
  Compare -46 and -37
  No swap needed
  Compare -37 and -87
  Swap -37 and -87
  List after swap: [-93, -82, -46, -87, -37, -30, 0, 26, 69, 78]

Pass 7:
  Compare -93 and -82
  No swap needed
  Compare -82 and -46
  No swap needed
  Compare -46 and -87
  Swap -46 and -87
  List after swap: [-93, -82, -87, -46, -37, -30, 0, 26, 69, 78]

Pass 8:
  Compare -93 and -82
  No swap needed
  Compare -82 and -87
  Swap -82 and -87
  List after swap: [-93, -87, -82, -46, -37, -30, 0, 26, 69, 78]

Pass 9:
  Compare -93 and -87
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -87, -82, -46, -37, -30, 0, 26, 69, 78]
</think>

<response>-93, -87, -82, -46, -37, -30, 0, 26, 69, 78</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 73, 43, -31, 98.

output:
<think>
Initial list: [73, 43, -31, 98]

Pass 1:
  Compare 73 and 43
  Swap 73 and 43
  List after swap: [43, 73, -31, 98]
  Compare 73 and -31
  Swap 73 and -31
  List after swap: [43, -31, 73, 98]
  Compare 73 and 98
  No swap needed

Pass 2:
  Compare 43 and -31
  Swap 43 and -31
  List after swap: [-31, 43, 73, 98]
  Compare 43 and 73
  No swap needed

Pass 3:
  Compare -31 and 43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-31, 43, 73, 98]
</think>

<response>-31, 43, 73, 98</response>


input: Perform a bubble sort on the integers 40, 6, 66, -66, -74, -81, -68, -57, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [40, 6, 66, -66, -74, -81, -68, -57]

Pass 1:
  Compare 40 and 6
  Swap 40 and 6
  List after swap: [6, 40, 66, -66, -74, -81, -68, -57]
  Compare 40 and 66
  No swap needed
  Compare 66 and -66
  Swap 66 and -66
  List after swap: [6, 40, -66, 66, -74, -81, -68, -57]
  Compare 66 and -74
  Swap 66 and -74
  List after swap: [6, 40, -66, -74, 66, -81, -68, -57]
  Compare 66 and -81
  Swap 66 and -81
  List after swap: [6, 40, -66, -74, -81, 66, -68, -57]
  Compare 66 and -68
  Swap 66 and -68
  List after swap: [6, 40, -66, -74, -81, -68, 66, -57]
  Compare 66 and -57
  Swap 66 and -57
  List after swap: [6, 40, -66, -74, -81, -68, -57, 66]

Pass 2:
  Compare 6 and 40
  No swap needed
  Compare 40 and -66
  Swap 40 and -66
  List after swap: [6, -66, 40, -74, -81, -68, -57, 66]
  Compare 40 and -74
  Swap 40 and -74
  List after swap: [6, -66, -74, 40, -81, -68, -57, 66]
  Compare 40 and -81
  Swap 40 and -81
  List after swap: [6, -66, -74, -81, 40, -68, -57, 66]
  Compare 40 and -68
  Swap 40 and -68
  List after swap: [6, -66, -74, -81, -68, 40, -57, 66]
  Compare 40 and -57
  Swap 40 and -57
  List after swap: [6, -66, -74, -81, -68, -57, 40, 66]

Pass 3:
  Compare 6 and -66
  Swap 6 and -66
  List after swap: [-66, 6, -74, -81, -68, -57, 40, 66]
  Compare 6 and -74
  Swap 6 and -74
  List after swap: [-66, -74, 6, -81, -68, -57, 40, 66]
  Compare 6 and -81
  Swap 6 and -81
  List after swap: [-66, -74, -81, 6, -68, -57, 40, 66]
  Compare 6 and -68
  Swap 6 and -68
  List after swap: [-66, -74, -81, -68, 6, -57, 40, 66]
  Compare 6 and -57
  Swap 6 and -57
  List after swap: [-66, -74, -81, -68, -57, 6, 40, 66]

Pass 4:
  Compare -66 and -74
  Swap -66 and -74
  List after swap: [-74, -66, -81, -68, -57, 6, 40, 66]
  Compare -66 and -81
  Swap -66 and -81
  List after swap: [-74, -81, -66, -68, -57, 6, 40, 66]
  Compare -66 and -68
  Swap -66 and -68
  List after swap: [-74, -81, -68, -66, -57, 6, 40, 66]
  Compare -66 and -57
  No swap needed

Pass 5:
  Compare -74 and -81
  Swap -74 and -81
  List after swap: [-81, -74, -68, -66, -57, 6, 40, 66]
  Compare -74 and -68
  No swap needed
  Compare -68 and -66
  No swap needed

Pass 6:
  Compare -81 and -74
  No swap needed
  Compare -74 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -74, -68, -66, -57, 6, 40, 66]
</think>

<response>-81, -74, -68, -66, -57, 6, 40, 66</response>


input: Implement bubble sort on 41, 16, -57 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [41, 16, -57]

Pass 1:
  Compare 41 and 16
  Swap 41 and 16
  List after swap: [16, 41, -57]
  Compare 41 and -57
  Swap 41 and -57
  List after swap: [16, -57, 41]

Pass 2:
  Compare 16 and -57
  Swap 16 and -57
  List after swap: [-57, 16, 41]

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

Final sorted list: [-57, 16, 41]
</think>

<response>-57, 16, 41</response>


input: Carry out the bubble sort algorithm on 36, -36, 64, 23, -20, 94, 2, 9, 66, 54 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [36, -36, 64, 23, -20, 94, 2, 9, 66, 54]

Pass 1:
  Compare 36 and -36
  Swap 36 and -36
  List after swap: [-36, 36, 64, 23, -20, 94, 2, 9, 66, 54]
  Compare 36 and 64
  No swap needed
  Compare 64 and 23
  Swap 64 and 23
  List after swap: [-36, 36, 23, 64, -20, 94, 2, 9, 66, 54]
  Compare 64 and -20
  Swap 64 and -20
  List after swap: [-36, 36, 23, -20, 64, 94, 2, 9, 66, 54]
  Compare 64 and 94
  No swap needed
  Compare 94 and 2
  Swap 94 and 2
  List after swap: [-36, 36, 23, -20, 64, 2, 94, 9, 66, 54]
  Compare 94 and 9
  Swap 94 and 9
  List after swap: [-36, 36, 23, -20, 64, 2, 9, 94, 66, 54]
  Compare 94 and 66
  Swap 94 and 66
  List after swap: [-36, 36, 23, -20, 64, 2, 9, 66, 94, 54]
  Compare 94 and 54
  Swap 94 and 54
  List after swap: [-36, 36, 23, -20, 64, 2, 9, 66, 54, 94]

Pass 2:
  Compare -36 and 36
  No swap needed
  Compare 36 and 23
  Swap 36 and 23
  List after swap: [-36, 23, 36, -20, 64, 2, 9, 66, 54, 94]
  Compare 36 and -20
  Swap 36 and -20
  List after swap: [-36, 23, -20, 36, 64, 2, 9, 66, 54, 94]
  Compare 36 and 64
  No swap needed
  Compare 64 and 2
  Swap 64 and 2
  List after swap: [-36, 23, -20, 36, 2, 64, 9, 66, 54, 94]
  Compare 64 and 9
  Swap 64 and 9
  List after swap: [-36, 23, -20, 36, 2, 9, 64, 66, 54, 94]
  Compare 64 and 66
  No swap needed
  Compare 66 and 54
  Swap 66 and 54
  List after swap: [-36, 23, -20, 36, 2, 9, 64, 54, 66, 94]

Pass 3:
  Compare -36 and 23
  No swap needed
  Compare 23 and -20
  Swap 23 and -20
  List after swap: [-36, -20, 23, 36, 2, 9, 64, 54, 66, 94]
  Compare 23 and 36
  No swap needed
  Compare 36 and 2
  Swap 36 and 2
  List after swap: [-36, -20, 23, 2, 36, 9, 64, 54, 66, 94]
  Compare 36 and 9
  Swap 36 and 9
  List after swap: [-36, -20, 23, 2, 9, 36, 64, 54, 66, 94]
  Compare 36 and 64
  No swap needed
  Compare 64 and 54
  Swap 64 and 54
  List after swap: [-36, -20, 23, 2, 9, 36, 54, 64, 66, 94]

Pass 4:
  Compare -36 and -20
  No swap needed
  Compare -20 and 23
  No swap needed
  Compare 23 and 2
  Swap 23 and 2
  List after swap: [-36, -20, 2, 23, 9, 36, 54, 64, 66, 94]
  Compare 23 and 9
  Swap 23 and 9
  List after swap: [-36, -20, 2, 9, 23, 36, 54, 64, 66, 94]
  Compare 23 and 36
  No swap needed
  Compare 36 and 54
  No swap needed

Pass 5:
  Compare -36 and -20
  No swap needed
  Compare -20 and 2
  No swap needed
  Compare 2 and 9
  No swap needed
  Compare 9 and 23
  No swap needed
  Compare 23 and 36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-36, -20, 2, 9, 23, 36, 54, 64, 66, 94]
</think>

<response>-36, -20, 2, 9, 23, 36, 54, 64, 66, 94</response>


input: Implement bubble sort on 45, -43, -92, -51, 42, -18 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [45, -43, -92, -51, 42, -18]

Pass 1:
  Compare 45 and -43
  Swap 45 and -43
  List after swap: [-43, 45, -92, -51, 42, -18]
  Compare 45 and -92
  Swap 45 and -92
  List after swap: [-43, -92, 45, -51, 42, -18]
  Compare 45 and -51
  Swap 45 and -51
  List after swap: [-43, -92, -51, 45, 42, -18]
  Compare 45 and 42
  Swap 45 and 42
  List after swap: [-43, -92, -51, 42, 45, -18]
  Compare 45 and -18
  Swap 45 and -18
  List after swap: [-43, -92, -51, 42, -18, 45]

Pass 2:
  Compare -43 and -92
  Swap -43 and -92
  List after swap: [-92, -43, -51, 42, -18, 45]
  Compare -43 and -51
  Swap -43 and -51
  List after swap: [-92, -51, -43, 42, -18, 45]
  Compare -43 and 42
  No swap needed
  Compare 42 and -18
  Swap 42 and -18
  List after swap: [-92, -51, -43, -18, 42, 45]

Pass 3:
  Compare -92 and -51
  No swap needed
  Compare -51 and -43
  No swap needed
  Compare -43 and -18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -51, -43, -18, 42, 45]
</think>

<response>-92, -51, -43, -18, 42, 45</response>


input: Implement bubble sort on 35, 92, 38, -54, 9 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [35, 92, 38, -54, 9]

Pass 1:
  Compare 35 and 92
  No swap needed
  Compare 92 and 38
  Swap 92 and 38
  List after swap: [35, 38, 92, -54, 9]
  Compare 92 and -54
  Swap 92 and -54
  List after swap: [35, 38, -54, 92, 9]
  Compare 92 and 9
  Swap 92 and 9
  List after swap: [35, 38, -54, 9, 92]

Pass 2:
  Compare 35 and 38
  No swap needed
  Compare 38 and -54
  Swap 38 and -54
  List after swap: [35, -54, 38, 9, 92]
  Compare 38 and 9
  Swap 38 and 9
  List after swap: [35, -54, 9, 38, 92]

Pass 3:
  Compare 35 and -54
  Swap 35 and -54
  List after swap: [-54, 35, 9, 38, 92]
  Compare 35 and 9
  Swap 35 and 9
  List after swap: [-54, 9, 35, 38, 92]

Pass 4:
  Compare -54 and 9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-54, 9, 35, 38, 92]
</think>

<response>-54, 9, 35, 38, 92</response>


input: Using the bubble sort method, sort 59, -44, 32 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [59, -44, 32]

Pass 1:
  Compare 59 and -44
  Swap 59 and -44
  List after swap: [-44, 59, 32]
  Compare 59 and 32
  Swap 59 and 32
  List after swap: [-44, 32, 59]

Pass 2:
  Compare -44 and 32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-44, 32, 59]
</think>

<response>-44, 32, 59</response>


input: Execute bubble sort to sort 8, 98, 39, 94, -99, 21, -58, -53, -47, -31 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [8, 98, 39, 94, -99, 21, -58, -53, -47, -31]

Pass 1:
  Compare 8 and 98
  No swap needed
  Compare 98 and 39
  Swap 98 and 39
  List after swap: [8, 39, 98, 94, -99, 21, -58, -53, -47, -31]
  Compare 98 and 94
  Swap 98 and 94
  List after swap: [8, 39, 94, 98, -99, 21, -58, -53, -47, -31]
  Compare 98 and -99
  Swap 98 and -99
  List after swap: [8, 39, 94, -99, 98, 21, -58, -53, -47, -31]
  Compare 98 and 21
  Swap 98 and 21
  List after swap: [8, 39, 94, -99, 21, 98, -58, -53, -47, -31]
  Compare 98 and -58
  Swap 98 and -58
  List after swap: [8, 39, 94, -99, 21, -58, 98, -53, -47, -31]
  Compare 98 and -53
  Swap 98 and -53
  List after swap: [8, 39, 94, -99, 21, -58, -53, 98, -47, -31]
  Compare 98 and -47
  Swap 98 and -47
  List after swap: [8, 39, 94, -99, 21, -58, -53, -47, 98, -31]
  Compare 98 and -31
  Swap 98 and -31
  List after swap: [8, 39, 94, -99, 21, -58, -53, -47, -31, 98]

Pass 2:
  Compare 8 and 39
  No swap needed
  Compare 39 and 94
  No swap needed
  Compare 94 and -99
  Swap 94 and -99
  List after swap: [8, 39, -99, 94, 21, -58, -53, -47, -31, 98]
  Compare 94 and 21
  Swap 94 and 21
  List after swap: [8, 39, -99, 21, 94, -58, -53, -47, -31, 98]
  Compare 94 and -58
  Swap 94 and -58
  List after swap: [8, 39, -99, 21, -58, 94, -53, -47, -31, 98]
  Compare 94 and -53
  Swap 94 and -53
  List after swap: [8, 39, -99, 21, -58, -53, 94, -47, -31, 98]
  Compare 94 and -47
  Swap 94 and -47
  List after swap: [8, 39, -99, 21, -58, -53, -47, 94, -31, 98]
  Compare 94 and -31
  Swap 94 and -31
  List after swap: [8, 39, -99, 21, -58, -53, -47, -31, 94, 98]

Pass 3:
  Compare 8 and 39
  No swap needed
  Compare 39 and -99
  Swap 39 and -99
  List after swap: [8, -99, 39, 21, -58, -53, -47, -31, 94, 98]
  Compare 39 and 21
  Swap 39 and 21
  List after swap: [8, -99, 21, 39, -58, -53, -47, -31, 94, 98]
  Compare 39 and -58
  Swap 39 and -58
  List after swap: [8, -99, 21, -58, 39, -53, -47, -31, 94, 98]
  Compare 39 and -53
  Swap 39 and -53
  List after swap: [8, -99, 21, -58, -53, 39, -47, -31, 94, 98]
  Compare 39 and -47
  Swap 39 and -47
  List after swap: [8, -99, 21, -58, -53, -47, 39, -31, 94, 98]
  Compare 39 and -31
  Swap 39 and -31
  List after swap: [8, -99, 21, -58, -53, -47, -31, 39, 94, 98]

Pass 4:
  Compare 8 and -99
  Swap 8 and -99
  List after swap: [-99, 8, 21, -58, -53, -47, -31, 39, 94, 98]
  Compare 8 and 21
  No swap needed
  Compare 21 and -58
  Swap 21 and -58
  List after swap: [-99, 8, -58, 21, -53, -47, -31, 39, 94, 98]
  Compare 21 and -53
  Swap 21 and -53
  List after swap: [-99, 8, -58, -53, 21, -47, -31, 39, 94, 98]
  Compare 21 and -47
  Swap 21 and -47
  List after swap: [-99, 8, -58, -53, -47, 21, -31, 39, 94, 98]
  Compare 21 and -31
  Swap 21 and -31
  List after swap: [-99, 8, -58, -53, -47, -31, 21, 39, 94, 98]

Pass 5:
  Compare -99 and 8
  No swap needed
  Compare 8 and -58
  Swap 8 and -58
  List after swap: [-99, -58, 8, -53, -47, -31, 21, 39, 94, 98]
  Compare 8 and -53
  Swap 8 and -53
  List after swap: [-99, -58, -53, 8, -47, -31, 21, 39, 94, 98]
  Compare 8 and -47
  Swap 8 and -47
  List after swap: [-99, -58, -53, -47, 8, -31, 21, 39, 94, 98]
  Compare 8 and -31
  Swap 8 and -31
  List after swap: [-99, -58, -53, -47, -31, 8, 21, 39, 94, 98]

Pass 6:
  Compare -99 and -58
  No swap needed
  Compare -58 and -53
  No swap needed
  Compare -53 and -47
  No swap needed
  Compare -47 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -58, -53, -47, -31, 8, 21, 39, 94, 98]
</think>

<response>-99, -58, -53, -47, -31, 8, 21, 39, 94, 98</response>