input: Implement bubble sort on 18, -12, -19, 60, 45, -25, -90, 5 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [18, -12, -19, 60, 45, -25, -90, 5]

Pass 1:
  Compare 18 and -12
  Swap 18 and -12
  List after swap: [-12, 18, -19, 60, 45, -25, -90, 5]
  Compare 18 and -19
  Swap 18 and -19
  List after swap: [-12, -19, 18, 60, 45, -25, -90, 5]
  Compare 18 and 60
  No swap needed
  Compare 60 and 45
  Swap 60 and 45
  List after swap: [-12, -19, 18, 45, 60, -25, -90, 5]
  Compare 60 and -25
  Swap 60 and -25
  List after swap: [-12, -19, 18, 45, -25, 60, -90, 5]
  Compare 60 and -90
  Swap 60 and -90
  List after swap: [-12, -19, 18, 45, -25, -90, 60, 5]
  Compare 60 and 5
  Swap 60 and 5
  List after swap: [-12, -19, 18, 45, -25, -90, 5, 60]

Pass 2:
  Compare -12 and -19
  Swap -12 and -19
  List after swap: [-19, -12, 18, 45, -25, -90, 5, 60]
  Compare -12 and 18
  No swap needed
  Compare 18 and 45
  No swap needed
  Compare 45 and -25
  Swap 45 and -25
  List after swap: [-19, -12, 18, -25, 45, -90, 5, 60]
  Compare 45 and -90
  Swap 45 and -90
  List after swap: [-19, -12, 18, -25, -90, 45, 5, 60]
  Compare 45 and 5
  Swap 45 and 5
  List after swap: [-19, -12, 18, -25, -90, 5, 45, 60]

Pass 3:
  Compare -19 and -12
  No swap needed
  Compare -12 and 18
  No swap needed
  Compare 18 and -25
  Swap 18 and -25
  List after swap: [-19, -12, -25, 18, -90, 5, 45, 60]
  Compare 18 and -90
  Swap 18 and -90
  List after swap: [-19, -12, -25, -90, 18, 5, 45, 60]
  Compare 18 and 5
  Swap 18 and 5
  List after swap: [-19, -12, -25, -90, 5, 18, 45, 60]

Pass 4:
  Compare -19 and -12
  No swap needed
  Compare -12 and -25
  Swap -12 and -25
  List after swap: [-19, -25, -12, -90, 5, 18, 45, 60]
  Compare -12 and -90
  Swap -12 and -90
  List after swap: [-19, -25, -90, -12, 5, 18, 45, 60]
  Compare -12 and 5
  No swap needed

Pass 5:
  Compare -19 and -25
  Swap -19 and -25
  List after swap: [-25, -19, -90, -12, 5, 18, 45, 60]
  Compare -19 and -90
  Swap -19 and -90
  List after swap: [-25, -90, -19, -12, 5, 18, 45, 60]
  Compare -19 and -12
  No swap needed

Pass 6:
  Compare -25 and -90
  Swap -25 and -90
  List after swap: [-90, -25, -19, -12, 5, 18, 45, 60]
  Compare -25 and -19
  No swap needed

Pass 7:
  Compare -90 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -25, -19, -12, 5, 18, 45, 60]
</think>

<response>-90, -25, -19, -12, 5, 18, 45, 60</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 85, -57, -69, 35, -95, -53, 31, 82, 52.

output:
<think>
Initial list: [85, -57, -69, 35, -95, -53, 31, 82, 52]

Pass 1:
  Compare 85 and -57
  Swap 85 and -57
  List after swap: [-57, 85, -69, 35, -95, -53, 31, 82, 52]
  Compare 85 and -69
  Swap 85 and -69
  List after swap: [-57, -69, 85, 35, -95, -53, 31, 82, 52]
  Compare 85 and 35
  Swap 85 and 35
  List after swap: [-57, -69, 35, 85, -95, -53, 31, 82, 52]
  Compare 85 and -95
  Swap 85 and -95
  List after swap: [-57, -69, 35, -95, 85, -53, 31, 82, 52]
  Compare 85 and -53
  Swap 85 and -53
  List after swap: [-57, -69, 35, -95, -53, 85, 31, 82, 52]
  Compare 85 and 31
  Swap 85 and 31
  List after swap: [-57, -69, 35, -95, -53, 31, 85, 82, 52]
  Compare 85 and 82
  Swap 85 and 82
  List after swap: [-57, -69, 35, -95, -53, 31, 82, 85, 52]
  Compare 85 and 52
  Swap 85 and 52
  List after swap: [-57, -69, 35, -95, -53, 31, 82, 52, 85]

Pass 2:
  Compare -57 and -69
  Swap -57 and -69
  List after swap: [-69, -57, 35, -95, -53, 31, 82, 52, 85]
  Compare -57 and 35
  No swap needed
  Compare 35 and -95
  Swap 35 and -95
  List after swap: [-69, -57, -95, 35, -53, 31, 82, 52, 85]
  Compare 35 and -53
  Swap 35 and -53
  List after swap: [-69, -57, -95, -53, 35, 31, 82, 52, 85]
  Compare 35 and 31
  Swap 35 and 31
  List after swap: [-69, -57, -95, -53, 31, 35, 82, 52, 85]
  Compare 35 and 82
  No swap needed
  Compare 82 and 52
  Swap 82 and 52
  List after swap: [-69, -57, -95, -53, 31, 35, 52, 82, 85]

Pass 3:
  Compare -69 and -57
  No swap needed
  Compare -57 and -95
  Swap -57 and -95
  List after swap: [-69, -95, -57, -53, 31, 35, 52, 82, 85]
  Compare -57 and -53
  No swap needed
  Compare -53 and 31
  No swap needed
  Compare 31 and 35
  No swap needed
  Compare 35 and 52
  No swap needed

Pass 4:
  Compare -69 and -95
  Swap -69 and -95
  List after swap: [-95, -69, -57, -53, 31, 35, 52, 82, 85]
  Compare -69 and -57
  No swap needed
  Compare -57 and -53
  No swap needed
  Compare -53 and 31
  No swap needed
  Compare 31 and 35
  No swap needed

Pass 5:
  Compare -95 and -69
  No swap needed
  Compare -69 and -57
  No swap needed
  Compare -57 and -53
  No swap needed
  Compare -53 and 31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -69, -57, -53, 31, 35, 52, 82, 85]
</think>

<response>-95, -69, -57, -53, 31, 35, 52, 82, 85</response>


input: Sort these integers 89, -43, -64, -67 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [89, -43, -64, -67]

Pass 1:
  Compare 89 and -43
  Swap 89 and -43
  List after swap: [-43, 89, -64, -67]
  Compare 89 and -64
  Swap 89 and -64
  List after swap: [-43, -64, 89, -67]
  Compare 89 and -67
  Swap 89 and -67
  List after swap: [-43, -64, -67, 89]

Pass 2:
  Compare -43 and -64
  Swap -43 and -64
  List after swap: [-64, -43, -67, 89]
  Compare -43 and -67
  Swap -43 and -67
  List after swap: [-64, -67, -43, 89]

Pass 3:
  Compare -64 and -67
  Swap -64 and -67
  List after swap: [-67, -64, -43, 89]

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

Final sorted list: [-67, -64, -43, 89]
</think>

<response>-67, -64, -43, 89</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 30, 35, 20, -99, 24, 90.

output:
<think>
Initial list: [30, 35, 20, -99, 24, 90]

Pass 1:
  Compare 30 and 35
  No swap needed
  Compare 35 and 20
  Swap 35 and 20
  List after swap: [30, 20, 35, -99, 24, 90]
  Compare 35 and -99
  Swap 35 and -99
  List after swap: [30, 20, -99, 35, 24, 90]
  Compare 35 and 24
  Swap 35 and 24
  List after swap: [30, 20, -99, 24, 35, 90]
  Compare 35 and 90
  No swap needed

Pass 2:
  Compare 30 and 20
  Swap 30 and 20
  List after swap: [20, 30, -99, 24, 35, 90]
  Compare 30 and -99
  Swap 30 and -99
  List after swap: [20, -99, 30, 24, 35, 90]
  Compare 30 and 24
  Swap 30 and 24
  List after swap: [20, -99, 24, 30, 35, 90]
  Compare 30 and 35
  No swap needed

Pass 3:
  Compare 20 and -99
  Swap 20 and -99
  List after swap: [-99, 20, 24, 30, 35, 90]
  Compare 20 and 24
  No swap needed
  Compare 24 and 30
  No swap needed

Pass 4:
  Compare -99 and 20
  No swap needed
  Compare 20 and 24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, 20, 24, 30, 35, 90]
</think>

<response>-99, 20, 24, 30, 35, 90</response>


input: Sort the list 27, 28, 73, -58 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [27, 28, 73, -58]

Pass 1:
  Compare 27 and 28
  No swap needed
  Compare 28 and 73
  No swap needed
  Compare 73 and -58
  Swap 73 and -58
  List after swap: [27, 28, -58, 73]

Pass 2:
  Compare 27 and 28
  No swap needed
  Compare 28 and -58
  Swap 28 and -58
  List after swap: [27, -58, 28, 73]

Pass 3:
  Compare 27 and -58
  Swap 27 and -58
  List after swap: [-58, 27, 28, 73]

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

Final sorted list: [-58, 27, 28, 73]
</think>

<response>-58, 27, 28, 73</response>


input: Demonstrate how bubble sort orders the integers 57, -85, 63, 44 in ascending sequence, showing all steps.

output:
<think>
Initial list: [57, -85, 63, 44]

Pass 1:
  Compare 57 and -85
  Swap 57 and -85
  List after swap: [-85, 57, 63, 44]
  Compare 57 and 63
  No swap needed
  Compare 63 and 44
  Swap 63 and 44
  List after swap: [-85, 57, 44, 63]

Pass 2:
  Compare -85 and 57
  No swap needed
  Compare 57 and 44
  Swap 57 and 44
  List after swap: [-85, 44, 57, 63]

Pass 3:
  Compare -85 and 44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, 44, 57, 63]
</think>

<response>-85, 44, 57, 63</response>


input: Arrange the numbers -63, -85, 20, -67, -46, -97 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-63, -85, 20, -67, -46, -97]

Pass 1:
  Compare -63 and -85
  Swap -63 and -85
  List after swap: [-85, -63, 20, -67, -46, -97]
  Compare -63 and 20
  No swap needed
  Compare 20 and -67
  Swap 20 and -67
  List after swap: [-85, -63, -67, 20, -46, -97]
  Compare 20 and -46
  Swap 20 and -46
  List after swap: [-85, -63, -67, -46, 20, -97]
  Compare 20 and -97
  Swap 20 and -97
  List after swap: [-85, -63, -67, -46, -97, 20]

Pass 2:
  Compare -85 and -63
  No swap needed
  Compare -63 and -67
  Swap -63 and -67
  List after swap: [-85, -67, -63, -46, -97, 20]
  Compare -63 and -46
  No swap needed
  Compare -46 and -97
  Swap -46 and -97
  List after swap: [-85, -67, -63, -97, -46, 20]

Pass 3:
  Compare -85 and -67
  No swap needed
  Compare -67 and -63
  No swap needed
  Compare -63 and -97
  Swap -63 and -97
  List after swap: [-85, -67, -97, -63, -46, 20]

Pass 4:
  Compare -85 and -67
  No swap needed
  Compare -67 and -97
  Swap -67 and -97
  List after swap: [-85, -97, -67, -63, -46, 20]

Pass 5:
  Compare -85 and -97
  Swap -85 and -97
  List after swap: [-97, -85, -67, -63, -46, 20]

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

Final sorted list: [-97, -85, -67, -63, -46, 20]
</think>

<response>-97, -85, -67, -63, -46, 20</response>


input: Execute bubble sort to sort -49, 89, 52, -62, -31, 38, -81, 53 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-49, 89, 52, -62, -31, 38, -81, 53]

Pass 1:
  Compare -49 and 89
  No swap needed
  Compare 89 and 52
  Swap 89 and 52
  List after swap: [-49, 52, 89, -62, -31, 38, -81, 53]
  Compare 89 and -62
  Swap 89 and -62
  List after swap: [-49, 52, -62, 89, -31, 38, -81, 53]
  Compare 89 and -31
  Swap 89 and -31
  List after swap: [-49, 52, -62, -31, 89, 38, -81, 53]
  Compare 89 and 38
  Swap 89 and 38
  List after swap: [-49, 52, -62, -31, 38, 89, -81, 53]
  Compare 89 and -81
  Swap 89 and -81
  List after swap: [-49, 52, -62, -31, 38, -81, 89, 53]
  Compare 89 and 53
  Swap 89 and 53
  List after swap: [-49, 52, -62, -31, 38, -81, 53, 89]

Pass 2:
  Compare -49 and 52
  No swap needed
  Compare 52 and -62
  Swap 52 and -62
  List after swap: [-49, -62, 52, -31, 38, -81, 53, 89]
  Compare 52 and -31
  Swap 52 and -31
  List after swap: [-49, -62, -31, 52, 38, -81, 53, 89]
  Compare 52 and 38
  Swap 52 and 38
  List after swap: [-49, -62, -31, 38, 52, -81, 53, 89]
  Compare 52 and -81
  Swap 52 and -81
  List after swap: [-49, -62, -31, 38, -81, 52, 53, 89]
  Compare 52 and 53
  No swap needed

Pass 3:
  Compare -49 and -62
  Swap -49 and -62
  List after swap: [-62, -49, -31, 38, -81, 52, 53, 89]
  Compare -49 and -31
  No swap needed
  Compare -31 and 38
  No swap needed
  Compare 38 and -81
  Swap 38 and -81
  List after swap: [-62, -49, -31, -81, 38, 52, 53, 89]
  Compare 38 and 52
  No swap needed

Pass 4:
  Compare -62 and -49
  No swap needed
  Compare -49 and -31
  No swap needed
  Compare -31 and -81
  Swap -31 and -81
  List after swap: [-62, -49, -81, -31, 38, 52, 53, 89]
  Compare -31 and 38
  No swap needed

Pass 5:
  Compare -62 and -49
  No swap needed
  Compare -49 and -81
  Swap -49 and -81
  List after swap: [-62, -81, -49, -31, 38, 52, 53, 89]
  Compare -49 and -31
  No swap needed

Pass 6:
  Compare -62 and -81
  Swap -62 and -81
  List after swap: [-81, -62, -49, -31, 38, 52, 53, 89]
  Compare -62 and -49
  No swap needed

Pass 7:
  Compare -81 and -62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -62, -49, -31, 38, 52, 53, 89]
</think>

<response>-81, -62, -49, -31, 38, 52, 53, 89</response>


input: Sort the list -3, 62, 44, 36, 19, 48, -37, 47, 29, 26 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-3, 62, 44, 36, 19, 48, -37, 47, 29, 26]

Pass 1:
  Compare -3 and 62
  No swap needed
  Compare 62 and 44
  Swap 62 and 44
  List after swap: [-3, 44, 62, 36, 19, 48, -37, 47, 29, 26]
  Compare 62 and 36
  Swap 62 and 36
  List after swap: [-3, 44, 36, 62, 19, 48, -37, 47, 29, 26]
  Compare 62 and 19
  Swap 62 and 19
  List after swap: [-3, 44, 36, 19, 62, 48, -37, 47, 29, 26]
  Compare 62 and 48
  Swap 62 and 48
  List after swap: [-3, 44, 36, 19, 48, 62, -37, 47, 29, 26]
  Compare 62 and -37
  Swap 62 and -37
  List after swap: [-3, 44, 36, 19, 48, -37, 62, 47, 29, 26]
  Compare 62 and 47
  Swap 62 and 47
  List after swap: [-3, 44, 36, 19, 48, -37, 47, 62, 29, 26]
  Compare 62 and 29
  Swap 62 and 29
  List after swap: [-3, 44, 36, 19, 48, -37, 47, 29, 62, 26]
  Compare 62 and 26
  Swap 62 and 26
  List after swap: [-3, 44, 36, 19, 48, -37, 47, 29, 26, 62]

Pass 2:
  Compare -3 and 44
  No swap needed
  Compare 44 and 36
  Swap 44 and 36
  List after swap: [-3, 36, 44, 19, 48, -37, 47, 29, 26, 62]
  Compare 44 and 19
  Swap 44 and 19
  List after swap: [-3, 36, 19, 44, 48, -37, 47, 29, 26, 62]
  Compare 44 and 48
  No swap needed
  Compare 48 and -37
  Swap 48 and -37
  List after swap: [-3, 36, 19, 44, -37, 48, 47, 29, 26, 62]
  Compare 48 and 47
  Swap 48 and 47
  List after swap: [-3, 36, 19, 44, -37, 47, 48, 29, 26, 62]
  Compare 48 and 29
  Swap 48 and 29
  List after swap: [-3, 36, 19, 44, -37, 47, 29, 48, 26, 62]
  Compare 48 and 26
  Swap 48 and 26
  List after swap: [-3, 36, 19, 44, -37, 47, 29, 26, 48, 62]

Pass 3:
  Compare -3 and 36
  No swap needed
  Compare 36 and 19
  Swap 36 and 19
  List after swap: [-3, 19, 36, 44, -37, 47, 29, 26, 48, 62]
  Compare 36 and 44
  No swap needed
  Compare 44 and -37
  Swap 44 and -37
  List after swap: [-3, 19, 36, -37, 44, 47, 29, 26, 48, 62]
  Compare 44 and 47
  No swap needed
  Compare 47 and 29
  Swap 47 and 29
  List after swap: [-3, 19, 36, -37, 44, 29, 47, 26, 48, 62]
  Compare 47 and 26
  Swap 47 and 26
  List after swap: [-3, 19, 36, -37, 44, 29, 26, 47, 48, 62]

Pass 4:
  Compare -3 and 19
  No swap needed
  Compare 19 and 36
  No swap needed
  Compare 36 and -37
  Swap 36 and -37
  List after swap: [-3, 19, -37, 36, 44, 29, 26, 47, 48, 62]
  Compare 36 and 44
  No swap needed
  Compare 44 and 29
  Swap 44 and 29
  List after swap: [-3, 19, -37, 36, 29, 44, 26, 47, 48, 62]
  Compare 44 and 26
  Swap 44 and 26
  List after swap: [-3, 19, -37, 36, 29, 26, 44, 47, 48, 62]

Pass 5:
  Compare -3 and 19
  No swap needed
  Compare 19 and -37
  Swap 19 and -37
  List after swap: [-3, -37, 19, 36, 29, 26, 44, 47, 48, 62]
  Compare 19 and 36
  No swap needed
  Compare 36 and 29
  Swap 36 and 29
  List after swap: [-3, -37, 19, 29, 36, 26, 44, 47, 48, 62]
  Compare 36 and 26
  Swap 36 and 26
  List after swap: [-3, -37, 19, 29, 26, 36, 44, 47, 48, 62]

Pass 6:
  Compare -3 and -37
  Swap -3 and -37
  List after swap: [-37, -3, 19, 29, 26, 36, 44, 47, 48, 62]
  Compare -3 and 19
  No swap needed
  Compare 19 and 29
  No swap needed
  Compare 29 and 26
  Swap 29 and 26
  List after swap: [-37, -3, 19, 26, 29, 36, 44, 47, 48, 62]

Pass 7:
  Compare -37 and -3
  No swap needed
  Compare -3 and 19
  No swap needed
  Compare 19 and 26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-37, -3, 19, 26, 29, 36, 44, 47, 48, 62]
</think>

<response>-37, -3, 19, 26, 29, 36, 44, 47, 48, 62</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 41, 82, -94, -46, 54.

output:
<think>
Initial list: [41, 82, -94, -46, 54]

Pass 1:
  Compare 41 and 82
  No swap needed
  Compare 82 and -94
  Swap 82 and -94
  List after swap: [41, -94, 82, -46, 54]
  Compare 82 and -46
  Swap 82 and -46
  List after swap: [41, -94, -46, 82, 54]
  Compare 82 and 54
  Swap 82 and 54
  List after swap: [41, -94, -46, 54, 82]

Pass 2:
  Compare 41 and -94
  Swap 41 and -94
  List after swap: [-94, 41, -46, 54, 82]
  Compare 41 and -46
  Swap 41 and -46
  List after swap: [-94, -46, 41, 54, 82]
  Compare 41 and 54
  No swap needed

Pass 3:
  Compare -94 and -46
  No swap needed
  Compare -46 and 41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -46, 41, 54, 82]
</think>

<response>-94, -46, 41, 54, 82</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 58, -14.

output:
<think>
Initial list: [58, -14]

Pass 1:
  Compare 58 and -14
  Swap 58 and -14
  List after swap: [-14, 58]

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

Final sorted list: [-14, 58]
</think>

<response>-14, 58</response>


input: Using the bubble sort method, sort -62, 65, 41, -51, -69 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-62, 65, 41, -51, -69]

Pass 1:
  Compare -62 and 65
  No swap needed
  Compare 65 and 41
  Swap 65 and 41
  List after swap: [-62, 41, 65, -51, -69]
  Compare 65 and -51
  Swap 65 and -51
  List after swap: [-62, 41, -51, 65, -69]
  Compare 65 and -69
  Swap 65 and -69
  List after swap: [-62, 41, -51, -69, 65]

Pass 2:
  Compare -62 and 41
  No swap needed
  Compare 41 and -51
  Swap 41 and -51
  List after swap: [-62, -51, 41, -69, 65]
  Compare 41 and -69
  Swap 41 and -69
  List after swap: [-62, -51, -69, 41, 65]

Pass 3:
  Compare -62 and -51
  No swap needed
  Compare -51 and -69
  Swap -51 and -69
  List after swap: [-62, -69, -51, 41, 65]

Pass 4:
  Compare -62 and -69
  Swap -62 and -69
  List after swap: [-69, -62, -51, 41, 65]

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

Final sorted list: [-69, -62, -51, 41, 65]
</think>

<response>-69, -62, -51, 41, 65</response>


input: Sort these integers -81, -57, 14, -33, -42, 11, -58, -38 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-81, -57, 14, -33, -42, 11, -58, -38]

Pass 1:
  Compare -81 and -57
  No swap needed
  Compare -57 and 14
  No swap needed
  Compare 14 and -33
  Swap 14 and -33
  List after swap: [-81, -57, -33, 14, -42, 11, -58, -38]
  Compare 14 and -42
  Swap 14 and -42
  List after swap: [-81, -57, -33, -42, 14, 11, -58, -38]
  Compare 14 and 11
  Swap 14 and 11
  List after swap: [-81, -57, -33, -42, 11, 14, -58, -38]
  Compare 14 and -58
  Swap 14 and -58
  List after swap: [-81, -57, -33, -42, 11, -58, 14, -38]
  Compare 14 and -38
  Swap 14 and -38
  List after swap: [-81, -57, -33, -42, 11, -58, -38, 14]

Pass 2:
  Compare -81 and -57
  No swap needed
  Compare -57 and -33
  No swap needed
  Compare -33 and -42
  Swap -33 and -42
  List after swap: [-81, -57, -42, -33, 11, -58, -38, 14]
  Compare -33 and 11
  No swap needed
  Compare 11 and -58
  Swap 11 and -58
  List after swap: [-81, -57, -42, -33, -58, 11, -38, 14]
  Compare 11 and -38
  Swap 11 and -38
  List after swap: [-81, -57, -42, -33, -58, -38, 11, 14]

Pass 3:
  Compare -81 and -57
  No swap needed
  Compare -57 and -42
  No swap needed
  Compare -42 and -33
  No swap needed
  Compare -33 and -58
  Swap -33 and -58
  List after swap: [-81, -57, -42, -58, -33, -38, 11, 14]
  Compare -33 and -38
  Swap -33 and -38
  List after swap: [-81, -57, -42, -58, -38, -33, 11, 14]

Pass 4:
  Compare -81 and -57
  No swap needed
  Compare -57 and -42
  No swap needed
  Compare -42 and -58
  Swap -42 and -58
  List after swap: [-81, -57, -58, -42, -38, -33, 11, 14]
  Compare -42 and -38
  No swap needed

Pass 5:
  Compare -81 and -57
  No swap needed
  Compare -57 and -58
  Swap -57 and -58
  List after swap: [-81, -58, -57, -42, -38, -33, 11, 14]
  Compare -57 and -42
  No swap needed

Pass 6:
  Compare -81 and -58
  No swap needed
  Compare -58 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -58, -57, -42, -38, -33, 11, 14]
</think>

<response>-81, -58, -57, -42, -38, -33, 11, 14</response>


input: Execute bubble sort to sort 83, 15, -90, 44, 34, 48 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [83, 15, -90, 44, 34, 48]

Pass 1:
  Compare 83 and 15
  Swap 83 and 15
  List after swap: [15, 83, -90, 44, 34, 48]
  Compare 83 and -90
  Swap 83 and -90
  List after swap: [15, -90, 83, 44, 34, 48]
  Compare 83 and 44
  Swap 83 and 44
  List after swap: [15, -90, 44, 83, 34, 48]
  Compare 83 and 34
  Swap 83 and 34
  List after swap: [15, -90, 44, 34, 83, 48]
  Compare 83 and 48
  Swap 83 and 48
  List after swap: [15, -90, 44, 34, 48, 83]

Pass 2:
  Compare 15 and -90
  Swap 15 and -90
  List after swap: [-90, 15, 44, 34, 48, 83]
  Compare 15 and 44
  No swap needed
  Compare 44 and 34
  Swap 44 and 34
  List after swap: [-90, 15, 34, 44, 48, 83]
  Compare 44 and 48
  No swap needed

Pass 3:
  Compare -90 and 15
  No swap needed
  Compare 15 and 34
  No swap needed
  Compare 34 and 44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, 15, 34, 44, 48, 83]
</think>

<response>-90, 15, 34, 44, 48, 83</response>


input: Execute bubble sort to sort -41, 61, 24, -10, -97, -61, 36, 64, -53, 15 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-41, 61, 24, -10, -97, -61, 36, 64, -53, 15]

Pass 1:
  Compare -41 and 61
  No swap needed
  Compare 61 and 24
  Swap 61 and 24
  List after swap: [-41, 24, 61, -10, -97, -61, 36, 64, -53, 15]
  Compare 61 and -10
  Swap 61 and -10
  List after swap: [-41, 24, -10, 61, -97, -61, 36, 64, -53, 15]
  Compare 61 and -97
  Swap 61 and -97
  List after swap: [-41, 24, -10, -97, 61, -61, 36, 64, -53, 15]
  Compare 61 and -61
  Swap 61 and -61
  List after swap: [-41, 24, -10, -97, -61, 61, 36, 64, -53, 15]
  Compare 61 and 36
  Swap 61 and 36
  List after swap: [-41, 24, -10, -97, -61, 36, 61, 64, -53, 15]
  Compare 61 and 64
  No swap needed
  Compare 64 and -53
  Swap 64 and -53
  List after swap: [-41, 24, -10, -97, -61, 36, 61, -53, 64, 15]
  Compare 64 and 15
  Swap 64 and 15
  List after swap: [-41, 24, -10, -97, -61, 36, 61, -53, 15, 64]

Pass 2:
  Compare -41 and 24
  No swap needed
  Compare 24 and -10
  Swap 24 and -10
  List after swap: [-41, -10, 24, -97, -61, 36, 61, -53, 15, 64]
  Compare 24 and -97
  Swap 24 and -97
  List after swap: [-41, -10, -97, 24, -61, 36, 61, -53, 15, 64]
  Compare 24 and -61
  Swap 24 and -61
  List after swap: [-41, -10, -97, -61, 24, 36, 61, -53, 15, 64]
  Compare 24 and 36
  No swap needed
  Compare 36 and 61
  No swap needed
  Compare 61 and -53
  Swap 61 and -53
  List after swap: [-41, -10, -97, -61, 24, 36, -53, 61, 15, 64]
  Compare 61 and 15
  Swap 61 and 15
  List after swap: [-41, -10, -97, -61, 24, 36, -53, 15, 61, 64]

Pass 3:
  Compare -41 and -10
  No swap needed
  Compare -10 and -97
  Swap -10 and -97
  List after swap: [-41, -97, -10, -61, 24, 36, -53, 15, 61, 64]
  Compare -10 and -61
  Swap -10 and -61
  List after swap: [-41, -97, -61, -10, 24, 36, -53, 15, 61, 64]
  Compare -10 and 24
  No swap needed
  Compare 24 and 36
  No swap needed
  Compare 36 and -53
  Swap 36 and -53
  List after swap: [-41, -97, -61, -10, 24, -53, 36, 15, 61, 64]
  Compare 36 and 15
  Swap 36 and 15
  List after swap: [-41, -97, -61, -10, 24, -53, 15, 36, 61, 64]

Pass 4:
  Compare -41 and -97
  Swap -41 and -97
  List after swap: [-97, -41, -61, -10, 24, -53, 15, 36, 61, 64]
  Compare -41 and -61
  Swap -41 and -61
  List after swap: [-97, -61, -41, -10, 24, -53, 15, 36, 61, 64]
  Compare -41 and -10
  No swap needed
  Compare -10 and 24
  No swap needed
  Compare 24 and -53
  Swap 24 and -53
  List after swap: [-97, -61, -41, -10, -53, 24, 15, 36, 61, 64]
  Compare 24 and 15
  Swap 24 and 15
  List after swap: [-97, -61, -41, -10, -53, 15, 24, 36, 61, 64]

Pass 5:
  Compare -97 and -61
  No swap needed
  Compare -61 and -41
  No swap needed
  Compare -41 and -10
  No swap needed
  Compare -10 and -53
  Swap -10 and -53
  List after swap: [-97, -61, -41, -53, -10, 15, 24, 36, 61, 64]
  Compare -10 and 15
  No swap needed

Pass 6:
  Compare -97 and -61
  No swap needed
  Compare -61 and -41
  No swap needed
  Compare -41 and -53
  Swap -41 and -53
  List after swap: [-97, -61, -53, -41, -10, 15, 24, 36, 61, 64]
  Compare -41 and -10
  No swap needed

Pass 7:
  Compare -97 and -61
  No swap needed
  Compare -61 and -53
  No swap needed
  Compare -53 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -61, -53, -41, -10, 15, 24, 36, 61, 64]
</think>

<response>-97, -61, -53, -41, -10, 15, 24, 36, 61, 64</response>


input: Demonstrate how bubble sort orders the integers -23, -43, -42, -39, -47, -88, -57 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-23, -43, -42, -39, -47, -88, -57]

Pass 1:
  Compare -23 and -43
  Swap -23 and -43
  List after swap: [-43, -23, -42, -39, -47, -88, -57]
  Compare -23 and -42
  Swap -23 and -42
  List after swap: [-43, -42, -23, -39, -47, -88, -57]
  Compare -23 and -39
  Swap -23 and -39
  List after swap: [-43, -42, -39, -23, -47, -88, -57]
  Compare -23 and -47
  Swap -23 and -47
  List after swap: [-43, -42, -39, -47, -23, -88, -57]
  Compare -23 and -88
  Swap -23 and -88
  List after swap: [-43, -42, -39, -47, -88, -23, -57]
  Compare -23 and -57
  Swap -23 and -57
  List after swap: [-43, -42, -39, -47, -88, -57, -23]

Pass 2:
  Compare -43 and -42
  No swap needed
  Compare -42 and -39
  No swap needed
  Compare -39 and -47
  Swap -39 and -47
  List after swap: [-43, -42, -47, -39, -88, -57, -23]
  Compare -39 and -88
  Swap -39 and -88
  List after swap: [-43, -42, -47, -88, -39, -57, -23]
  Compare -39 and -57
  Swap -39 and -57
  List after swap: [-43, -42, -47, -88, -57, -39, -23]

Pass 3:
  Compare -43 and -42
  No swap needed
  Compare -42 and -47
  Swap -42 and -47
  List after swap: [-43, -47, -42, -88, -57, -39, -23]
  Compare -42 and -88
  Swap -42 and -88
  List after swap: [-43, -47, -88, -42, -57, -39, -23]
  Compare -42 and -57
  Swap -42 and -57
  List after swap: [-43, -47, -88, -57, -42, -39, -23]

Pass 4:
  Compare -43 and -47
  Swap -43 and -47
  List after swap: [-47, -43, -88, -57, -42, -39, -23]
  Compare -43 and -88
  Swap -43 and -88
  List after swap: [-47, -88, -43, -57, -42, -39, -23]
  Compare -43 and -57
  Swap -43 and -57
  List after swap: [-47, -88, -57, -43, -42, -39, -23]

Pass 5:
  Compare -47 and -88
  Swap -47 and -88
  List after swap: [-88, -47, -57, -43, -42, -39, -23]
  Compare -47 and -57
  Swap -47 and -57
  List after swap: [-88, -57, -47, -43, -42, -39, -23]

Pass 6:
  Compare -88 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -57, -47, -43, -42, -39, -23]
</think>

<response>-88, -57, -47, -43, -42, -39, -23</response>


input: Use the bubble sort technique to reorder 99, 22, 24, -19, -45, -35, 55, -70, -30, 37 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [99, 22, 24, -19, -45, -35, 55, -70, -30, 37]

Pass 1:
  Compare 99 and 22
  Swap 99 and 22
  List after swap: [22, 99, 24, -19, -45, -35, 55, -70, -30, 37]
  Compare 99 and 24
  Swap 99 and 24
  List after swap: [22, 24, 99, -19, -45, -35, 55, -70, -30, 37]
  Compare 99 and -19
  Swap 99 and -19
  List after swap: [22, 24, -19, 99, -45, -35, 55, -70, -30, 37]
  Compare 99 and -45
  Swap 99 and -45
  List after swap: [22, 24, -19, -45, 99, -35, 55, -70, -30, 37]
  Compare 99 and -35
  Swap 99 and -35
  List after swap: [22, 24, -19, -45, -35, 99, 55, -70, -30, 37]
  Compare 99 and 55
  Swap 99 and 55
  List after swap: [22, 24, -19, -45, -35, 55, 99, -70, -30, 37]
  Compare 99 and -70
  Swap 99 and -70
  List after swap: [22, 24, -19, -45, -35, 55, -70, 99, -30, 37]
  Compare 99 and -30
  Swap 99 and -30
  List after swap: [22, 24, -19, -45, -35, 55, -70, -30, 99, 37]
  Compare 99 and 37
  Swap 99 and 37
  List after swap: [22, 24, -19, -45, -35, 55, -70, -30, 37, 99]

Pass 2:
  Compare 22 and 24
  No swap needed
  Compare 24 and -19
  Swap 24 and -19
  List after swap: [22, -19, 24, -45, -35, 55, -70, -30, 37, 99]
  Compare 24 and -45
  Swap 24 and -45
  List after swap: [22, -19, -45, 24, -35, 55, -70, -30, 37, 99]
  Compare 24 and -35
  Swap 24 and -35
  List after swap: [22, -19, -45, -35, 24, 55, -70, -30, 37, 99]
  Compare 24 and 55
  No swap needed
  Compare 55 and -70
  Swap 55 and -70
  List after swap: [22, -19, -45, -35, 24, -70, 55, -30, 37, 99]
  Compare 55 and -30
  Swap 55 and -30
  List after swap: [22, -19, -45, -35, 24, -70, -30, 55, 37, 99]
  Compare 55 and 37
  Swap 55 and 37
  List after swap: [22, -19, -45, -35, 24, -70, -30, 37, 55, 99]

Pass 3:
  Compare 22 and -19
  Swap 22 and -19
  List after swap: [-19, 22, -45, -35, 24, -70, -30, 37, 55, 99]
  Compare 22 and -45
  Swap 22 and -45
  List after swap: [-19, -45, 22, -35, 24, -70, -30, 37, 55, 99]
  Compare 22 and -35
  Swap 22 and -35
  List after swap: [-19, -45, -35, 22, 24, -70, -30, 37, 55, 99]
  Compare 22 and 24
  No swap needed
  Compare 24 and -70
  Swap 24 and -70
  List after swap: [-19, -45, -35, 22, -70, 24, -30, 37, 55, 99]
  Compare 24 and -30
  Swap 24 and -30
  List after swap: [-19, -45, -35, 22, -70, -30, 24, 37, 55, 99]
  Compare 24 and 37
  No swap needed

Pass 4:
  Compare -19 and -45
  Swap -19 and -45
  List after swap: [-45, -19, -35, 22, -70, -30, 24, 37, 55, 99]
  Compare -19 and -35
  Swap -19 and -35
  List after swap: [-45, -35, -19, 22, -70, -30, 24, 37, 55, 99]
  Compare -19 and 22
  No swap needed
  Compare 22 and -70
  Swap 22 and -70
  List after swap: [-45, -35, -19, -70, 22, -30, 24, 37, 55, 99]
  Compare 22 and -30
  Swap 22 and -30
  List after swap: [-45, -35, -19, -70, -30, 22, 24, 37, 55, 99]
  Compare 22 and 24
  No swap needed

Pass 5:
  Compare -45 and -35
  No swap needed
  Compare -35 and -19
  No swap needed
  Compare -19 and -70
  Swap -19 and -70
  List after swap: [-45, -35, -70, -19, -30, 22, 24, 37, 55, 99]
  Compare -19 and -30
  Swap -19 and -30
  List after swap: [-45, -35, -70, -30, -19, 22, 24, 37, 55, 99]
  Compare -19 and 22
  No swap needed

Pass 6:
  Compare -45 and -35
  No swap needed
  Compare -35 and -70
  Swap -35 and -70
  List after swap: [-45, -70, -35, -30, -19, 22, 24, 37, 55, 99]
  Compare -35 and -30
  No swap needed
  Compare -30 and -19
  No swap needed

Pass 7:
  Compare -45 and -70
  Swap -45 and -70
  List after swap: [-70, -45, -35, -30, -19, 22, 24, 37, 55, 99]
  Compare -45 and -35
  No swap needed
  Compare -35 and -30
  No swap needed

Pass 8:
  Compare -70 and -45
  No swap needed
  Compare -45 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -45, -35, -30, -19, 22, 24, 37, 55, 99]
</think>

<response>-70, -45, -35, -30, -19, 22, 24, 37, 55, 99</response>


input: Carry out the bubble sort algorithm on 2, 88, -95, -68, -33, -47, -96, 72 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [2, 88, -95, -68, -33, -47, -96, 72]

Pass 1:
  Compare 2 and 88
  No swap needed
  Compare 88 and -95
  Swap 88 and -95
  List after swap: [2, -95, 88, -68, -33, -47, -96, 72]
  Compare 88 and -68
  Swap 88 and -68
  List after swap: [2, -95, -68, 88, -33, -47, -96, 72]
  Compare 88 and -33
  Swap 88 and -33
  List after swap: [2, -95, -68, -33, 88, -47, -96, 72]
  Compare 88 and -47
  Swap 88 and -47
  List after swap: [2, -95, -68, -33, -47, 88, -96, 72]
  Compare 88 and -96
  Swap 88 and -96
  List after swap: [2, -95, -68, -33, -47, -96, 88, 72]
  Compare 88 and 72
  Swap 88 and 72
  List after swap: [2, -95, -68, -33, -47, -96, 72, 88]

Pass 2:
  Compare 2 and -95
  Swap 2 and -95
  List after swap: [-95, 2, -68, -33, -47, -96, 72, 88]
  Compare 2 and -68
  Swap 2 and -68
  List after swap: [-95, -68, 2, -33, -47, -96, 72, 88]
  Compare 2 and -33
  Swap 2 and -33
  List after swap: [-95, -68, -33, 2, -47, -96, 72, 88]
  Compare 2 and -47
  Swap 2 and -47
  List after swap: [-95, -68, -33, -47, 2, -96, 72, 88]
  Compare 2 and -96
  Swap 2 and -96
  List after swap: [-95, -68, -33, -47, -96, 2, 72, 88]
  Compare 2 and 72
  No swap needed

Pass 3:
  Compare -95 and -68
  No swap needed
  Compare -68 and -33
  No swap needed
  Compare -33 and -47
  Swap -33 and -47
  List after swap: [-95, -68, -47, -33, -96, 2, 72, 88]
  Compare -33 and -96
  Swap -33 and -96
  List after swap: [-95, -68, -47, -96, -33, 2, 72, 88]
  Compare -33 and 2
  No swap needed

Pass 4:
  Compare -95 and -68
  No swap needed
  Compare -68 and -47
  No swap needed
  Compare -47 and -96
  Swap -47 and -96
  List after swap: [-95, -68, -96, -47, -33, 2, 72, 88]
  Compare -47 and -33
  No swap needed

Pass 5:
  Compare -95 and -68
  No swap needed
  Compare -68 and -96
  Swap -68 and -96
  List after swap: [-95, -96, -68, -47, -33, 2, 72, 88]
  Compare -68 and -47
  No swap needed

Pass 6:
  Compare -95 and -96
  Swap -95 and -96
  List after swap: [-96, -95, -68, -47, -33, 2, 72, 88]
  Compare -95 and -68
  No swap needed

Pass 7:
  Compare -96 and -95
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -95, -68, -47, -33, 2, 72, 88]
</think>

<response>-96, -95, -68, -47, -33, 2, 72, 88</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 38, -48, 40, -24, 49, 75, 43, 76, -32.

output:
<think>
Initial list: [38, -48, 40, -24, 49, 75, 43, 76, -32]

Pass 1:
  Compare 38 and -48
  Swap 38 and -48
  List after swap: [-48, 38, 40, -24, 49, 75, 43, 76, -32]
  Compare 38 and 40
  No swap needed
  Compare 40 and -24
  Swap 40 and -24
  List after swap: [-48, 38, -24, 40, 49, 75, 43, 76, -32]
  Compare 40 and 49
  No swap needed
  Compare 49 and 75
  No swap needed
  Compare 75 and 43
  Swap 75 and 43
  List after swap: [-48, 38, -24, 40, 49, 43, 75, 76, -32]
  Compare 75 and 76
  No swap needed
  Compare 76 and -32
  Swap 76 and -32
  List after swap: [-48, 38, -24, 40, 49, 43, 75, -32, 76]

Pass 2:
  Compare -48 and 38
  No swap needed
  Compare 38 and -24
  Swap 38 and -24
  List after swap: [-48, -24, 38, 40, 49, 43, 75, -32, 76]
  Compare 38 and 40
  No swap needed
  Compare 40 and 49
  No swap needed
  Compare 49 and 43
  Swap 49 and 43
  List after swap: [-48, -24, 38, 40, 43, 49, 75, -32, 76]
  Compare 49 and 75
  No swap needed
  Compare 75 and -32
  Swap 75 and -32
  List after swap: [-48, -24, 38, 40, 43, 49, -32, 75, 76]

Pass 3:
  Compare -48 and -24
  No swap needed
  Compare -24 and 38
  No swap needed
  Compare 38 and 40
  No swap needed
  Compare 40 and 43
  No swap needed
  Compare 43 and 49
  No swap needed
  Compare 49 and -32
  Swap 49 and -32
  List after swap: [-48, -24, 38, 40, 43, -32, 49, 75, 76]

Pass 4:
  Compare -48 and -24
  No swap needed
  Compare -24 and 38
  No swap needed
  Compare 38 and 40
  No swap needed
  Compare 40 and 43
  No swap needed
  Compare 43 and -32
  Swap 43 and -32
  List after swap: [-48, -24, 38, 40, -32, 43, 49, 75, 76]

Pass 5:
  Compare -48 and -24
  No swap needed
  Compare -24 and 38
  No swap needed
  Compare 38 and 40
  No swap needed
  Compare 40 and -32
  Swap 40 and -32
  List after swap: [-48, -24, 38, -32, 40, 43, 49, 75, 76]

Pass 6:
  Compare -48 and -24
  No swap needed
  Compare -24 and 38
  No swap needed
  Compare 38 and -32
  Swap 38 and -32
  List after swap: [-48, -24, -32, 38, 40, 43, 49, 75, 76]

Pass 7:
  Compare -48 and -24
  No swap needed
  Compare -24 and -32
  Swap -24 and -32
  List after swap: [-48, -32, -24, 38, 40, 43, 49, 75, 76]

Pass 8:
  Compare -48 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-48, -32, -24, 38, 40, 43, 49, 75, 76]
</think>

<response>-48, -32, -24, 38, 40, 43, 49, 75, 76</response>


input: Use the bubble sort technique to reorder -85, 21, -78, -61, 82, 65 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-85, 21, -78, -61, 82, 65]

Pass 1:
  Compare -85 and 21
  No swap needed
  Compare 21 and -78
  Swap 21 and -78
  List after swap: [-85, -78, 21, -61, 82, 65]
  Compare 21 and -61
  Swap 21 and -61
  List after swap: [-85, -78, -61, 21, 82, 65]
  Compare 21 and 82
  No swap needed
  Compare 82 and 65
  Swap 82 and 65
  List after swap: [-85, -78, -61, 21, 65, 82]

Pass 2:
  Compare -85 and -78
  No swap needed
  Compare -78 and -61
  No swap needed
  Compare -61 and 21
  No swap needed
  Compare 21 and 65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-85, -78, -61, 21, 65, 82]
</think>

<response>-85, -78, -61, 21, 65, 82</response>


input: Carry out the bubble sort algorithm on -75, -25, -32 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-75, -25, -32]

Pass 1:
  Compare -75 and -25
  No swap needed
  Compare -25 and -32
  Swap -25 and -32
  List after swap: [-75, -32, -25]

Pass 2:
  Compare -75 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -32, -25]
</think>

<response>-75, -32, -25</response>


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

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

Pass 1:
  Compare -10 and -62
  Swap -10 and -62
  List after swap: [-62, -10]

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

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

<response>-62, -10</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -41, 88, -82, 11.

output:
<think>
Initial list: [-41, 88, -82, 11]

Pass 1:
  Compare -41 and 88
  No swap needed
  Compare 88 and -82
  Swap 88 and -82
  List after swap: [-41, -82, 88, 11]
  Compare 88 and 11
  Swap 88 and 11
  List after swap: [-41, -82, 11, 88]

Pass 2:
  Compare -41 and -82
  Swap -41 and -82
  List after swap: [-82, -41, 11, 88]
  Compare -41 and 11
  No swap needed

Pass 3:
  Compare -82 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -41, 11, 88]
</think>

<response>-82, -41, 11, 88</response>


input: Implement bubble sort on 34, 79, 72, 40, 88 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [34, 79, 72, 40, 88]

Pass 1:
  Compare 34 and 79
  No swap needed
  Compare 79 and 72
  Swap 79 and 72
  List after swap: [34, 72, 79, 40, 88]
  Compare 79 and 40
  Swap 79 and 40
  List after swap: [34, 72, 40, 79, 88]
  Compare 79 and 88
  No swap needed

Pass 2:
  Compare 34 and 72
  No swap needed
  Compare 72 and 40
  Swap 72 and 40
  List after swap: [34, 40, 72, 79, 88]
  Compare 72 and 79
  No swap needed

Pass 3:
  Compare 34 and 40
  No swap needed
  Compare 40 and 72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [34, 40, 72, 79, 88]
</think>

<response>34, 40, 72, 79, 88</response>


input: Using the bubble sort method, sort 72, 86, -28, 40, 28, -25, -92, 61 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [72, 86, -28, 40, 28, -25, -92, 61]

Pass 1:
  Compare 72 and 86
  No swap needed
  Compare 86 and -28
  Swap 86 and -28
  List after swap: [72, -28, 86, 40, 28, -25, -92, 61]
  Compare 86 and 40
  Swap 86 and 40
  List after swap: [72, -28, 40, 86, 28, -25, -92, 61]
  Compare 86 and 28
  Swap 86 and 28
  List after swap: [72, -28, 40, 28, 86, -25, -92, 61]
  Compare 86 and -25
  Swap 86 and -25
  List after swap: [72, -28, 40, 28, -25, 86, -92, 61]
  Compare 86 and -92
  Swap 86 and -92
  List after swap: [72, -28, 40, 28, -25, -92, 86, 61]
  Compare 86 and 61
  Swap 86 and 61
  List after swap: [72, -28, 40, 28, -25, -92, 61, 86]

Pass 2:
  Compare 72 and -28
  Swap 72 and -28
  List after swap: [-28, 72, 40, 28, -25, -92, 61, 86]
  Compare 72 and 40
  Swap 72 and 40
  List after swap: [-28, 40, 72, 28, -25, -92, 61, 86]
  Compare 72 and 28
  Swap 72 and 28
  List after swap: [-28, 40, 28, 72, -25, -92, 61, 86]
  Compare 72 and -25
  Swap 72 and -25
  List after swap: [-28, 40, 28, -25, 72, -92, 61, 86]
  Compare 72 and -92
  Swap 72 and -92
  List after swap: [-28, 40, 28, -25, -92, 72, 61, 86]
  Compare 72 and 61
  Swap 72 and 61
  List after swap: [-28, 40, 28, -25, -92, 61, 72, 86]

Pass 3:
  Compare -28 and 40
  No swap needed
  Compare 40 and 28
  Swap 40 and 28
  List after swap: [-28, 28, 40, -25, -92, 61, 72, 86]
  Compare 40 and -25
  Swap 40 and -25
  List after swap: [-28, 28, -25, 40, -92, 61, 72, 86]
  Compare 40 and -92
  Swap 40 and -92
  List after swap: [-28, 28, -25, -92, 40, 61, 72, 86]
  Compare 40 and 61
  No swap needed

Pass 4:
  Compare -28 and 28
  No swap needed
  Compare 28 and -25
  Swap 28 and -25
  List after swap: [-28, -25, 28, -92, 40, 61, 72, 86]
  Compare 28 and -92
  Swap 28 and -92
  List after swap: [-28, -25, -92, 28, 40, 61, 72, 86]
  Compare 28 and 40
  No swap needed

Pass 5:
  Compare -28 and -25
  No swap needed
  Compare -25 and -92
  Swap -25 and -92
  List after swap: [-28, -92, -25, 28, 40, 61, 72, 86]
  Compare -25 and 28
  No swap needed

Pass 6:
  Compare -28 and -92
  Swap -28 and -92
  List after swap: [-92, -28, -25, 28, 40, 61, 72, 86]
  Compare -28 and -25
  No swap needed

Pass 7:
  Compare -92 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -28, -25, 28, 40, 61, 72, 86]
</think>

<response>-92, -28, -25, 28, 40, 61, 72, 86</response>


input: Sort these integers -21, -46, 96, 52, 98, 42, 15, -36, 72, -52 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-21, -46, 96, 52, 98, 42, 15, -36, 72, -52]

Pass 1:
  Compare -21 and -46
  Swap -21 and -46
  List after swap: [-46, -21, 96, 52, 98, 42, 15, -36, 72, -52]
  Compare -21 and 96
  No swap needed
  Compare 96 and 52
  Swap 96 and 52
  List after swap: [-46, -21, 52, 96, 98, 42, 15, -36, 72, -52]
  Compare 96 and 98
  No swap needed
  Compare 98 and 42
  Swap 98 and 42
  List after swap: [-46, -21, 52, 96, 42, 98, 15, -36, 72, -52]
  Compare 98 and 15
  Swap 98 and 15
  List after swap: [-46, -21, 52, 96, 42, 15, 98, -36, 72, -52]
  Compare 98 and -36
  Swap 98 and -36
  List after swap: [-46, -21, 52, 96, 42, 15, -36, 98, 72, -52]
  Compare 98 and 72
  Swap 98 and 72
  List after swap: [-46, -21, 52, 96, 42, 15, -36, 72, 98, -52]
  Compare 98 and -52
  Swap 98 and -52
  List after swap: [-46, -21, 52, 96, 42, 15, -36, 72, -52, 98]

Pass 2:
  Compare -46 and -21
  No swap needed
  Compare -21 and 52
  No swap needed
  Compare 52 and 96
  No swap needed
  Compare 96 and 42
  Swap 96 and 42
  List after swap: [-46, -21, 52, 42, 96, 15, -36, 72, -52, 98]
  Compare 96 and 15
  Swap 96 and 15
  List after swap: [-46, -21, 52, 42, 15, 96, -36, 72, -52, 98]
  Compare 96 and -36
  Swap 96 and -36
  List after swap: [-46, -21, 52, 42, 15, -36, 96, 72, -52, 98]
  Compare 96 and 72
  Swap 96 and 72
  List after swap: [-46, -21, 52, 42, 15, -36, 72, 96, -52, 98]
  Compare 96 and -52
  Swap 96 and -52
  List after swap: [-46, -21, 52, 42, 15, -36, 72, -52, 96, 98]

Pass 3:
  Compare -46 and -21
  No swap needed
  Compare -21 and 52
  No swap needed
  Compare 52 and 42
  Swap 52 and 42
  List after swap: [-46, -21, 42, 52, 15, -36, 72, -52, 96, 98]
  Compare 52 and 15
  Swap 52 and 15
  List after swap: [-46, -21, 42, 15, 52, -36, 72, -52, 96, 98]
  Compare 52 and -36
  Swap 52 and -36
  List after swap: [-46, -21, 42, 15, -36, 52, 72, -52, 96, 98]
  Compare 52 and 72
  No swap needed
  Compare 72 and -52
  Swap 72 and -52
  List after swap: [-46, -21, 42, 15, -36, 52, -52, 72, 96, 98]

Pass 4:
  Compare -46 and -21
  No swap needed
  Compare -21 and 42
  No swap needed
  Compare 42 and 15
  Swap 42 and 15
  List after swap: [-46, -21, 15, 42, -36, 52, -52, 72, 96, 98]
  Compare 42 and -36
  Swap 42 and -36
  List after swap: [-46, -21, 15, -36, 42, 52, -52, 72, 96, 98]
  Compare 42 and 52
  No swap needed
  Compare 52 and -52
  Swap 52 and -52
  List after swap: [-46, -21, 15, -36, 42, -52, 52, 72, 96, 98]

Pass 5:
  Compare -46 and -21
  No swap needed
  Compare -21 and 15
  No swap needed
  Compare 15 and -36
  Swap 15 and -36
  List after swap: [-46, -21, -36, 15, 42, -52, 52, 72, 96, 98]
  Compare 15 and 42
  No swap needed
  Compare 42 and -52
  Swap 42 and -52
  List after swap: [-46, -21, -36, 15, -52, 42, 52, 72, 96, 98]

Pass 6:
  Compare -46 and -21
  No swap needed
  Compare -21 and -36
  Swap -21 and -36
  List after swap: [-46, -36, -21, 15, -52, 42, 52, 72, 96, 98]
  Compare -21 and 15
  No swap needed
  Compare 15 and -52
  Swap 15 and -52
  List after swap: [-46, -36, -21, -52, 15, 42, 52, 72, 96, 98]

Pass 7:
  Compare -46 and -36
  No swap needed
  Compare -36 and -21
  No swap needed
  Compare -21 and -52
  Swap -21 and -52
  List after swap: [-46, -36, -52, -21, 15, 42, 52, 72, 96, 98]

Pass 8:
  Compare -46 and -36
  No swap needed
  Compare -36 and -52
  Swap -36 and -52
  List after swap: [-46, -52, -36, -21, 15, 42, 52, 72, 96, 98]

Pass 9:
  Compare -46 and -52
  Swap -46 and -52
  List after swap: [-52, -46, -36, -21, 15, 42, 52, 72, 96, 98]

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

Final sorted list: [-52, -46, -36, -21, 15, 42, 52, 72, 96, 98]
</think>

<response>-52, -46, -36, -21, 15, 42, 52, 72, 96, 98</response>


input: Demonstrate how bubble sort orders the integers -9, 51 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-9, 51]

Pass 1:
  Compare -9 and 51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-9, 51]
</think>

<response>-9, 51</response>


input: Implement bubble sort on -21, 72 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-21, 72]

Pass 1:
  Compare -21 and 72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-21, 72]
</think>

<response>-21, 72</response>


input: Use the bubble sort technique to reorder 50, 73, 16, -72, -82 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [50, 73, 16, -72, -82]

Pass 1:
  Compare 50 and 73
  No swap needed
  Compare 73 and 16
  Swap 73 and 16
  List after swap: [50, 16, 73, -72, -82]
  Compare 73 and -72
  Swap 73 and -72
  List after swap: [50, 16, -72, 73, -82]
  Compare 73 and -82
  Swap 73 and -82
  List after swap: [50, 16, -72, -82, 73]

Pass 2:
  Compare 50 and 16
  Swap 50 and 16
  List after swap: [16, 50, -72, -82, 73]
  Compare 50 and -72
  Swap 50 and -72
  List after swap: [16, -72, 50, -82, 73]
  Compare 50 and -82
  Swap 50 and -82
  List after swap: [16, -72, -82, 50, 73]

Pass 3:
  Compare 16 and -72
  Swap 16 and -72
  List after swap: [-72, 16, -82, 50, 73]
  Compare 16 and -82
  Swap 16 and -82
  List after swap: [-72, -82, 16, 50, 73]

Pass 4:
  Compare -72 and -82
  Swap -72 and -82
  List after swap: [-82, -72, 16, 50, 73]

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

Final sorted list: [-82, -72, 16, 50, 73]
</think>

<response>-82, -72, 16, 50, 73</response>


input: Carry out the bubble sort algorithm on -94, -83, 9, -5 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-94, -83, 9, -5]

Pass 1:
  Compare -94 and -83
  No swap needed
  Compare -83 and 9
  No swap needed
  Compare 9 and -5
  Swap 9 and -5
  List after swap: [-94, -83, -5, 9]

Pass 2:
  Compare -94 and -83
  No swap needed
  Compare -83 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -83, -5, 9]
</think>

<response>-94, -83, -5, 9</response>


input: Arrange the numbers -4, -96, 53, -83, -18 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-4, -96, 53, -83, -18]

Pass 1:
  Compare -4 and -96
  Swap -4 and -96
  List after swap: [-96, -4, 53, -83, -18]
  Compare -4 and 53
  No swap needed
  Compare 53 and -83
  Swap 53 and -83
  List after swap: [-96, -4, -83, 53, -18]
  Compare 53 and -18
  Swap 53 and -18
  List after swap: [-96, -4, -83, -18, 53]

Pass 2:
  Compare -96 and -4
  No swap needed
  Compare -4 and -83
  Swap -4 and -83
  List after swap: [-96, -83, -4, -18, 53]
  Compare -4 and -18
  Swap -4 and -18
  List after swap: [-96, -83, -18, -4, 53]

Pass 3:
  Compare -96 and -83
  No swap needed
  Compare -83 and -18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -83, -18, -4, 53]
</think>

<response>-96, -83, -18, -4, 53</response>


input: Sort these integers -3, -19, 93, -34, -32 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-3, -19, 93, -34, -32]

Pass 1:
  Compare -3 and -19
  Swap -3 and -19
  List after swap: [-19, -3, 93, -34, -32]
  Compare -3 and 93
  No swap needed
  Compare 93 and -34
  Swap 93 and -34
  List after swap: [-19, -3, -34, 93, -32]
  Compare 93 and -32
  Swap 93 and -32
  List after swap: [-19, -3, -34, -32, 93]

Pass 2:
  Compare -19 and -3
  No swap needed
  Compare -3 and -34
  Swap -3 and -34
  List after swap: [-19, -34, -3, -32, 93]
  Compare -3 and -32
  Swap -3 and -32
  List after swap: [-19, -34, -32, -3, 93]

Pass 3:
  Compare -19 and -34
  Swap -19 and -34
  List after swap: [-34, -19, -32, -3, 93]
  Compare -19 and -32
  Swap -19 and -32
  List after swap: [-34, -32, -19, -3, 93]

Pass 4:
  Compare -34 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-34, -32, -19, -3, 93]
</think>

<response>-34, -32, -19, -3, 93</response>


input: Perform a bubble sort on the integers -51, -98, -65, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-51, -98, -65]

Pass 1:
  Compare -51 and -98
  Swap -51 and -98
  List after swap: [-98, -51, -65]
  Compare -51 and -65
  Swap -51 and -65
  List after swap: [-98, -65, -51]

Pass 2:
  Compare -98 and -65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -65, -51]
</think>

<response>-98, -65, -51</response>


input: Perform a bubble sort on the integers 84, 92, 51, -20, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [84, 92, 51, -20]

Pass 1:
  Compare 84 and 92
  No swap needed
  Compare 92 and 51
  Swap 92 and 51
  List after swap: [84, 51, 92, -20]
  Compare 92 and -20
  Swap 92 and -20
  List after swap: [84, 51, -20, 92]

Pass 2:
  Compare 84 and 51
  Swap 84 and 51
  List after swap: [51, 84, -20, 92]
  Compare 84 and -20
  Swap 84 and -20
  List after swap: [51, -20, 84, 92]

Pass 3:
  Compare 51 and -20
  Swap 51 and -20
  List after swap: [-20, 51, 84, 92]

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

Final sorted list: [-20, 51, 84, 92]
</think>

<response>-20, 51, 84, 92</response>


input: Sort these integers -31, 90, -40, -72, 9 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-31, 90, -40, -72, 9]

Pass 1:
  Compare -31 and 90
  No swap needed
  Compare 90 and -40
  Swap 90 and -40
  List after swap: [-31, -40, 90, -72, 9]
  Compare 90 and -72
  Swap 90 and -72
  List after swap: [-31, -40, -72, 90, 9]
  Compare 90 and 9
  Swap 90 and 9
  List after swap: [-31, -40, -72, 9, 90]

Pass 2:
  Compare -31 and -40
  Swap -31 and -40
  List after swap: [-40, -31, -72, 9, 90]
  Compare -31 and -72
  Swap -31 and -72
  List after swap: [-40, -72, -31, 9, 90]
  Compare -31 and 9
  No swap needed

Pass 3:
  Compare -40 and -72
  Swap -40 and -72
  List after swap: [-72, -40, -31, 9, 90]
  Compare -40 and -31
  No swap needed

Pass 4:
  Compare -72 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -40, -31, 9, 90]
</think>

<response>-72, -40, -31, 9, 90</response>


input: Use the bubble sort technique to reorder 14, 88, -100, -52, -78, -27, 46, -50, -43, 30 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [14, 88, -100, -52, -78, -27, 46, -50, -43, 30]

Pass 1:
  Compare 14 and 88
  No swap needed
  Compare 88 and -100
  Swap 88 and -100
  List after swap: [14, -100, 88, -52, -78, -27, 46, -50, -43, 30]
  Compare 88 and -52
  Swap 88 and -52
  List after swap: [14, -100, -52, 88, -78, -27, 46, -50, -43, 30]
  Compare 88 and -78
  Swap 88 and -78
  List after swap: [14, -100, -52, -78, 88, -27, 46, -50, -43, 30]
  Compare 88 and -27
  Swap 88 and -27
  List after swap: [14, -100, -52, -78, -27, 88, 46, -50, -43, 30]
  Compare 88 and 46
  Swap 88 and 46
  List after swap: [14, -100, -52, -78, -27, 46, 88, -50, -43, 30]
  Compare 88 and -50
  Swap 88 and -50
  List after swap: [14, -100, -52, -78, -27, 46, -50, 88, -43, 30]
  Compare 88 and -43
  Swap 88 and -43
  List after swap: [14, -100, -52, -78, -27, 46, -50, -43, 88, 30]
  Compare 88 and 30
  Swap 88 and 30
  List after swap: [14, -100, -52, -78, -27, 46, -50, -43, 30, 88]

Pass 2:
  Compare 14 and -100
  Swap 14 and -100
  List after swap: [-100, 14, -52, -78, -27, 46, -50, -43, 30, 88]
  Compare 14 and -52
  Swap 14 and -52
  List after swap: [-100, -52, 14, -78, -27, 46, -50, -43, 30, 88]
  Compare 14 and -78
  Swap 14 and -78
  List after swap: [-100, -52, -78, 14, -27, 46, -50, -43, 30, 88]
  Compare 14 and -27
  Swap 14 and -27
  List after swap: [-100, -52, -78, -27, 14, 46, -50, -43, 30, 88]
  Compare 14 and 46
  No swap needed
  Compare 46 and -50
  Swap 46 and -50
  List after swap: [-100, -52, -78, -27, 14, -50, 46, -43, 30, 88]
  Compare 46 and -43
  Swap 46 and -43
  List after swap: [-100, -52, -78, -27, 14, -50, -43, 46, 30, 88]
  Compare 46 and 30
  Swap 46 and 30
  List after swap: [-100, -52, -78, -27, 14, -50, -43, 30, 46, 88]

Pass 3:
  Compare -100 and -52
  No swap needed
  Compare -52 and -78
  Swap -52 and -78
  List after swap: [-100, -78, -52, -27, 14, -50, -43, 30, 46, 88]
  Compare -52 and -27
  No swap needed
  Compare -27 and 14
  No swap needed
  Compare 14 and -50
  Swap 14 and -50
  List after swap: [-100, -78, -52, -27, -50, 14, -43, 30, 46, 88]
  Compare 14 and -43
  Swap 14 and -43
  List after swap: [-100, -78, -52, -27, -50, -43, 14, 30, 46, 88]
  Compare 14 and 30
  No swap needed

Pass 4:
  Compare -100 and -78
  No swap needed
  Compare -78 and -52
  No swap needed
  Compare -52 and -27
  No swap needed
  Compare -27 and -50
  Swap -27 and -50
  List after swap: [-100, -78, -52, -50, -27, -43, 14, 30, 46, 88]
  Compare -27 and -43
  Swap -27 and -43
  List after swap: [-100, -78, -52, -50, -43, -27, 14, 30, 46, 88]
  Compare -27 and 14
  No swap needed

Pass 5:
  Compare -100 and -78
  No swap needed
  Compare -78 and -52
  No swap needed
  Compare -52 and -50
  No swap needed
  Compare -50 and -43
  No swap needed
  Compare -43 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -78, -52, -50, -43, -27, 14, 30, 46, 88]
</think>

<response>-100, -78, -52, -50, -43, -27, 14, 30, 46, 88</response>


input: Demonstrate how bubble sort orders the integers -42, 41, 81 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-42, 41, 81]

Pass 1:
  Compare -42 and 41
  No swap needed
  Compare 41 and 81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-42, 41, 81]
</think>

<response>-42, 41, 81</response>


input: Perform a bubble sort on the integers 77, -13, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [77, -13]

Pass 1:
  Compare 77 and -13
  Swap 77 and -13
  List after swap: [-13, 77]

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

Final sorted list: [-13, 77]
</think>

<response>-13, 77</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -30, 68, -48, 60, 27, 1, 38, -19.

output:
<think>
Initial list: [-30, 68, -48, 60, 27, 1, 38, -19]

Pass 1:
  Compare -30 and 68
  No swap needed
  Compare 68 and -48
  Swap 68 and -48
  List after swap: [-30, -48, 68, 60, 27, 1, 38, -19]
  Compare 68 and 60
  Swap 68 and 60
  List after swap: [-30, -48, 60, 68, 27, 1, 38, -19]
  Compare 68 and 27
  Swap 68 and 27
  List after swap: [-30, -48, 60, 27, 68, 1, 38, -19]
  Compare 68 and 1
  Swap 68 and 1
  List after swap: [-30, -48, 60, 27, 1, 68, 38, -19]
  Compare 68 and 38
  Swap 68 and 38
  List after swap: [-30, -48, 60, 27, 1, 38, 68, -19]
  Compare 68 and -19
  Swap 68 and -19
  List after swap: [-30, -48, 60, 27, 1, 38, -19, 68]

Pass 2:
  Compare -30 and -48
  Swap -30 and -48
  List after swap: [-48, -30, 60, 27, 1, 38, -19, 68]
  Compare -30 and 60
  No swap needed
  Compare 60 and 27
  Swap 60 and 27
  List after swap: [-48, -30, 27, 60, 1, 38, -19, 68]
  Compare 60 and 1
  Swap 60 and 1
  List after swap: [-48, -30, 27, 1, 60, 38, -19, 68]
  Compare 60 and 38
  Swap 60 and 38
  List after swap: [-48, -30, 27, 1, 38, 60, -19, 68]
  Compare 60 and -19
  Swap 60 and -19
  List after swap: [-48, -30, 27, 1, 38, -19, 60, 68]

Pass 3:
  Compare -48 and -30
  No swap needed
  Compare -30 and 27
  No swap needed
  Compare 27 and 1
  Swap 27 and 1
  List after swap: [-48, -30, 1, 27, 38, -19, 60, 68]
  Compare 27 and 38
  No swap needed
  Compare 38 and -19
  Swap 38 and -19
  List after swap: [-48, -30, 1, 27, -19, 38, 60, 68]

Pass 4:
  Compare -48 and -30
  No swap needed
  Compare -30 and 1
  No swap needed
  Compare 1 and 27
  No swap needed
  Compare 27 and -19
  Swap 27 and -19
  List after swap: [-48, -30, 1, -19, 27, 38, 60, 68]

Pass 5:
  Compare -48 and -30
  No swap needed
  Compare -30 and 1
  No swap needed
  Compare 1 and -19
  Swap 1 and -19
  List after swap: [-48, -30, -19, 1, 27, 38, 60, 68]

Pass 6:
  Compare -48 and -30
  No swap needed
  Compare -30 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-48, -30, -19, 1, 27, 38, 60, 68]
</think>

<response>-48, -30, -19, 1, 27, 38, 60, 68</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 99, 38, 42, 55, -6, 33, 20, 81, -47.

output:
<think>
Initial list: [99, 38, 42, 55, -6, 33, 20, 81, -47]

Pass 1:
  Compare 99 and 38
  Swap 99 and 38
  List after swap: [38, 99, 42, 55, -6, 33, 20, 81, -47]
  Compare 99 and 42
  Swap 99 and 42
  List after swap: [38, 42, 99, 55, -6, 33, 20, 81, -47]
  Compare 99 and 55
  Swap 99 and 55
  List after swap: [38, 42, 55, 99, -6, 33, 20, 81, -47]
  Compare 99 and -6
  Swap 99 and -6
  List after swap: [38, 42, 55, -6, 99, 33, 20, 81, -47]
  Compare 99 and 33
  Swap 99 and 33
  List after swap: [38, 42, 55, -6, 33, 99, 20, 81, -47]
  Compare 99 and 20
  Swap 99 and 20
  List after swap: [38, 42, 55, -6, 33, 20, 99, 81, -47]
  Compare 99 and 81
  Swap 99 and 81
  List after swap: [38, 42, 55, -6, 33, 20, 81, 99, -47]
  Compare 99 and -47
  Swap 99 and -47
  List after swap: [38, 42, 55, -6, 33, 20, 81, -47, 99]

Pass 2:
  Compare 38 and 42
  No swap needed
  Compare 42 and 55
  No swap needed
  Compare 55 and -6
  Swap 55 and -6
  List after swap: [38, 42, -6, 55, 33, 20, 81, -47, 99]
  Compare 55 and 33
  Swap 55 and 33
  List after swap: [38, 42, -6, 33, 55, 20, 81, -47, 99]
  Compare 55 and 20
  Swap 55 and 20
  List after swap: [38, 42, -6, 33, 20, 55, 81, -47, 99]
  Compare 55 and 81
  No swap needed
  Compare 81 and -47
  Swap 81 and -47
  List after swap: [38, 42, -6, 33, 20, 55, -47, 81, 99]

Pass 3:
  Compare 38 and 42
  No swap needed
  Compare 42 and -6
  Swap 42 and -6
  List after swap: [38, -6, 42, 33, 20, 55, -47, 81, 99]
  Compare 42 and 33
  Swap 42 and 33
  List after swap: [38, -6, 33, 42, 20, 55, -47, 81, 99]
  Compare 42 and 20
  Swap 42 and 20
  List after swap: [38, -6, 33, 20, 42, 55, -47, 81, 99]
  Compare 42 and 55
  No swap needed
  Compare 55 and -47
  Swap 55 and -47
  List after swap: [38, -6, 33, 20, 42, -47, 55, 81, 99]

Pass 4:
  Compare 38 and -6
  Swap 38 and -6
  List after swap: [-6, 38, 33, 20, 42, -47, 55, 81, 99]
  Compare 38 and 33
  Swap 38 and 33
  List after swap: [-6, 33, 38, 20, 42, -47, 55, 81, 99]
  Compare 38 and 20
  Swap 38 and 20
  List after swap: [-6, 33, 20, 38, 42, -47, 55, 81, 99]
  Compare 38 and 42
  No swap needed
  Compare 42 and -47
  Swap 42 and -47
  List after swap: [-6, 33, 20, 38, -47, 42, 55, 81, 99]

Pass 5:
  Compare -6 and 33
  No swap needed
  Compare 33 and 20
  Swap 33 and 20
  List after swap: [-6, 20, 33, 38, -47, 42, 55, 81, 99]
  Compare 33 and 38
  No swap needed
  Compare 38 and -47
  Swap 38 and -47
  List after swap: [-6, 20, 33, -47, 38, 42, 55, 81, 99]

Pass 6:
  Compare -6 and 20
  No swap needed
  Compare 20 and 33
  No swap needed
  Compare 33 and -47
  Swap 33 and -47
  List after swap: [-6, 20, -47, 33, 38, 42, 55, 81, 99]

Pass 7:
  Compare -6 and 20
  No swap needed
  Compare 20 and -47
  Swap 20 and -47
  List after swap: [-6, -47, 20, 33, 38, 42, 55, 81, 99]

Pass 8:
  Compare -6 and -47
  Swap -6 and -47
  List after swap: [-47, -6, 20, 33, 38, 42, 55, 81, 99]

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

Final sorted list: [-47, -6, 20, 33, 38, 42, 55, 81, 99]
</think>

<response>-47, -6, 20, 33, 38, 42, 55, 81, 99</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -41, -28, 51, 68.

output:
<think>
Initial list: [-41, -28, 51, 68]

Pass 1:
  Compare -41 and -28
  No swap needed
  Compare -28 and 51
  No swap needed
  Compare 51 and 68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-41, -28, 51, 68]
</think>

<response>-41, -28, 51, 68</response>


input: Demonstrate how bubble sort orders the integers 55, 94, 75, 9, 60, 29, 66, -32, 65, 11 in ascending sequence, showing all steps.

output:
<think>
Initial list: [55, 94, 75, 9, 60, 29, 66, -32, 65, 11]

Pass 1:
  Compare 55 and 94
  No swap needed
  Compare 94 and 75
  Swap 94 and 75
  List after swap: [55, 75, 94, 9, 60, 29, 66, -32, 65, 11]
  Compare 94 and 9
  Swap 94 and 9
  List after swap: [55, 75, 9, 94, 60, 29, 66, -32, 65, 11]
  Compare 94 and 60
  Swap 94 and 60
  List after swap: [55, 75, 9, 60, 94, 29, 66, -32, 65, 11]
  Compare 94 and 29
  Swap 94 and 29
  List after swap: [55, 75, 9, 60, 29, 94, 66, -32, 65, 11]
  Compare 94 and 66
  Swap 94 and 66
  List after swap: [55, 75, 9, 60, 29, 66, 94, -32, 65, 11]
  Compare 94 and -32
  Swap 94 and -32
  List after swap: [55, 75, 9, 60, 29, 66, -32, 94, 65, 11]
  Compare 94 and 65
  Swap 94 and 65
  List after swap: [55, 75, 9, 60, 29, 66, -32, 65, 94, 11]
  Compare 94 and 11
  Swap 94 and 11
  List after swap: [55, 75, 9, 60, 29, 66, -32, 65, 11, 94]

Pass 2:
  Compare 55 and 75
  No swap needed
  Compare 75 and 9
  Swap 75 and 9
  List after swap: [55, 9, 75, 60, 29, 66, -32, 65, 11, 94]
  Compare 75 and 60
  Swap 75 and 60
  List after swap: [55, 9, 60, 75, 29, 66, -32, 65, 11, 94]
  Compare 75 and 29
  Swap 75 and 29
  List after swap: [55, 9, 60, 29, 75, 66, -32, 65, 11, 94]
  Compare 75 and 66
  Swap 75 and 66
  List after swap: [55, 9, 60, 29, 66, 75, -32, 65, 11, 94]
  Compare 75 and -32
  Swap 75 and -32
  List after swap: [55, 9, 60, 29, 66, -32, 75, 65, 11, 94]
  Compare 75 and 65
  Swap 75 and 65
  List after swap: [55, 9, 60, 29, 66, -32, 65, 75, 11, 94]
  Compare 75 and 11
  Swap 75 and 11
  List after swap: [55, 9, 60, 29, 66, -32, 65, 11, 75, 94]

Pass 3:
  Compare 55 and 9
  Swap 55 and 9
  List after swap: [9, 55, 60, 29, 66, -32, 65, 11, 75, 94]
  Compare 55 and 60
  No swap needed
  Compare 60 and 29
  Swap 60 and 29
  List after swap: [9, 55, 29, 60, 66, -32, 65, 11, 75, 94]
  Compare 60 and 66
  No swap needed
  Compare 66 and -32
  Swap 66 and -32
  List after swap: [9, 55, 29, 60, -32, 66, 65, 11, 75, 94]
  Compare 66 and 65
  Swap 66 and 65
  List after swap: [9, 55, 29, 60, -32, 65, 66, 11, 75, 94]
  Compare 66 and 11
  Swap 66 and 11
  List after swap: [9, 55, 29, 60, -32, 65, 11, 66, 75, 94]

Pass 4:
  Compare 9 and 55
  No swap needed
  Compare 55 and 29
  Swap 55 and 29
  List after swap: [9, 29, 55, 60, -32, 65, 11, 66, 75, 94]
  Compare 55 and 60
  No swap needed
  Compare 60 and -32
  Swap 60 and -32
  List after swap: [9, 29, 55, -32, 60, 65, 11, 66, 75, 94]
  Compare 60 and 65
  No swap needed
  Compare 65 and 11
  Swap 65 and 11
  List after swap: [9, 29, 55, -32, 60, 11, 65, 66, 75, 94]

Pass 5:
  Compare 9 and 29
  No swap needed
  Compare 29 and 55
  No swap needed
  Compare 55 and -32
  Swap 55 and -32
  List after swap: [9, 29, -32, 55, 60, 11, 65, 66, 75, 94]
  Compare 55 and 60
  No swap needed
  Compare 60 and 11
  Swap 60 and 11
  List after swap: [9, 29, -32, 55, 11, 60, 65, 66, 75, 94]

Pass 6:
  Compare 9 and 29
  No swap needed
  Compare 29 and -32
  Swap 29 and -32
  List after swap: [9, -32, 29, 55, 11, 60, 65, 66, 75, 94]
  Compare 29 and 55
  No swap needed
  Compare 55 and 11
  Swap 55 and 11
  List after swap: [9, -32, 29, 11, 55, 60, 65, 66, 75, 94]

Pass 7:
  Compare 9 and -32
  Swap 9 and -32
  List after swap: [-32, 9, 29, 11, 55, 60, 65, 66, 75, 94]
  Compare 9 and 29
  No swap needed
  Compare 29 and 11
  Swap 29 and 11
  List after swap: [-32, 9, 11, 29, 55, 60, 65, 66, 75, 94]

Pass 8:
  Compare -32 and 9
  No swap needed
  Compare 9 and 11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-32, 9, 11, 29, 55, 60, 65, 66, 75, 94]
</think>

<response>-32, 9, 11, 29, 55, 60, 65, 66, 75, 94</response>


input: Carry out the bubble sort algorithm on 3, 83, -16, 53, -4, 6, -69, 73, -29 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [3, 83, -16, 53, -4, 6, -69, 73, -29]

Pass 1:
  Compare 3 and 83
  No swap needed
  Compare 83 and -16
  Swap 83 and -16
  List after swap: [3, -16, 83, 53, -4, 6, -69, 73, -29]
  Compare 83 and 53
  Swap 83 and 53
  List after swap: [3, -16, 53, 83, -4, 6, -69, 73, -29]
  Compare 83 and -4
  Swap 83 and -4
  List after swap: [3, -16, 53, -4, 83, 6, -69, 73, -29]
  Compare 83 and 6
  Swap 83 and 6
  List after swap: [3, -16, 53, -4, 6, 83, -69, 73, -29]
  Compare 83 and -69
  Swap 83 and -69
  List after swap: [3, -16, 53, -4, 6, -69, 83, 73, -29]
  Compare 83 and 73
  Swap 83 and 73
  List after swap: [3, -16, 53, -4, 6, -69, 73, 83, -29]
  Compare 83 and -29
  Swap 83 and -29
  List after swap: [3, -16, 53, -4, 6, -69, 73, -29, 83]

Pass 2:
  Compare 3 and -16
  Swap 3 and -16
  List after swap: [-16, 3, 53, -4, 6, -69, 73, -29, 83]
  Compare 3 and 53
  No swap needed
  Compare 53 and -4
  Swap 53 and -4
  List after swap: [-16, 3, -4, 53, 6, -69, 73, -29, 83]
  Compare 53 and 6
  Swap 53 and 6
  List after swap: [-16, 3, -4, 6, 53, -69, 73, -29, 83]
  Compare 53 and -69
  Swap 53 and -69
  List after swap: [-16, 3, -4, 6, -69, 53, 73, -29, 83]
  Compare 53 and 73
  No swap needed
  Compare 73 and -29
  Swap 73 and -29
  List after swap: [-16, 3, -4, 6, -69, 53, -29, 73, 83]

Pass 3:
  Compare -16 and 3
  No swap needed
  Compare 3 and -4
  Swap 3 and -4
  List after swap: [-16, -4, 3, 6, -69, 53, -29, 73, 83]
  Compare 3 and 6
  No swap needed
  Compare 6 and -69
  Swap 6 and -69
  List after swap: [-16, -4, 3, -69, 6, 53, -29, 73, 83]
  Compare 6 and 53
  No swap needed
  Compare 53 and -29
  Swap 53 and -29
  List after swap: [-16, -4, 3, -69, 6, -29, 53, 73, 83]

Pass 4:
  Compare -16 and -4
  No swap needed
  Compare -4 and 3
  No swap needed
  Compare 3 and -69
  Swap 3 and -69
  List after swap: [-16, -4, -69, 3, 6, -29, 53, 73, 83]
  Compare 3 and 6
  No swap needed
  Compare 6 and -29
  Swap 6 and -29
  List after swap: [-16, -4, -69, 3, -29, 6, 53, 73, 83]

Pass 5:
  Compare -16 and -4
  No swap needed
  Compare -4 and -69
  Swap -4 and -69
  List after swap: [-16, -69, -4, 3, -29, 6, 53, 73, 83]
  Compare -4 and 3
  No swap needed
  Compare 3 and -29
  Swap 3 and -29
  List after swap: [-16, -69, -4, -29, 3, 6, 53, 73, 83]

Pass 6:
  Compare -16 and -69
  Swap -16 and -69
  List after swap: [-69, -16, -4, -29, 3, 6, 53, 73, 83]
  Compare -16 and -4
  No swap needed
  Compare -4 and -29
  Swap -4 and -29
  List after swap: [-69, -16, -29, -4, 3, 6, 53, 73, 83]

Pass 7:
  Compare -69 and -16
  No swap needed
  Compare -16 and -29
  Swap -16 and -29
  List after swap: [-69, -29, -16, -4, 3, 6, 53, 73, 83]

Pass 8:
  Compare -69 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -29, -16, -4, 3, 6, 53, 73, 83]
</think>

<response>-69, -29, -16, -4, 3, 6, 53, 73, 83</response>


input: Sort the list 21, 51 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [21, 51]

Pass 1:
  Compare 21 and 51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [21, 51]
</think>

<response>21, 51</response>


input: Sort the list -90, 5, 86, 31 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-90, 5, 86, 31]

Pass 1:
  Compare -90 and 5
  No swap needed
  Compare 5 and 86
  No swap needed
  Compare 86 and 31
  Swap 86 and 31
  List after swap: [-90, 5, 31, 86]

Pass 2:
  Compare -90 and 5
  No swap needed
  Compare 5 and 31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, 5, 31, 86]
</think>

<response>-90, 5, 31, 86</response>


input: Demonstrate how bubble sort orders the integers -18, 51, 96, -47, 91, 0, -90 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-18, 51, 96, -47, 91, 0, -90]

Pass 1:
  Compare -18 and 51
  No swap needed
  Compare 51 and 96
  No swap needed
  Compare 96 and -47
  Swap 96 and -47
  List after swap: [-18, 51, -47, 96, 91, 0, -90]
  Compare 96 and 91
  Swap 96 and 91
  List after swap: [-18, 51, -47, 91, 96, 0, -90]
  Compare 96 and 0
  Swap 96 and 0
  List after swap: [-18, 51, -47, 91, 0, 96, -90]
  Compare 96 and -90
  Swap 96 and -90
  List after swap: [-18, 51, -47, 91, 0, -90, 96]

Pass 2:
  Compare -18 and 51
  No swap needed
  Compare 51 and -47
  Swap 51 and -47
  List after swap: [-18, -47, 51, 91, 0, -90, 96]
  Compare 51 and 91
  No swap needed
  Compare 91 and 0
  Swap 91 and 0
  List after swap: [-18, -47, 51, 0, 91, -90, 96]
  Compare 91 and -90
  Swap 91 and -90
  List after swap: [-18, -47, 51, 0, -90, 91, 96]

Pass 3:
  Compare -18 and -47
  Swap -18 and -47
  List after swap: [-47, -18, 51, 0, -90, 91, 96]
  Compare -18 and 51
  No swap needed
  Compare 51 and 0
  Swap 51 and 0
  List after swap: [-47, -18, 0, 51, -90, 91, 96]
  Compare 51 and -90
  Swap 51 and -90
  List after swap: [-47, -18, 0, -90, 51, 91, 96]

Pass 4:
  Compare -47 and -18
  No swap needed
  Compare -18 and 0
  No swap needed
  Compare 0 and -90
  Swap 0 and -90
  List after swap: [-47, -18, -90, 0, 51, 91, 96]

Pass 5:
  Compare -47 and -18
  No swap needed
  Compare -18 and -90
  Swap -18 and -90
  List after swap: [-47, -90, -18, 0, 51, 91, 96]

Pass 6:
  Compare -47 and -90
  Swap -47 and -90
  List after swap: [-90, -47, -18, 0, 51, 91, 96]

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

Final sorted list: [-90, -47, -18, 0, 51, 91, 96]
</think>

<response>-90, -47, -18, 0, 51, 91, 96</response>


input: Sort the list -27, 11, 19, -31, 79, 31, -78, -49 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-27, 11, 19, -31, 79, 31, -78, -49]

Pass 1:
  Compare -27 and 11
  No swap needed
  Compare 11 and 19
  No swap needed
  Compare 19 and -31
  Swap 19 and -31
  List after swap: [-27, 11, -31, 19, 79, 31, -78, -49]
  Compare 19 and 79
  No swap needed
  Compare 79 and 31
  Swap 79 and 31
  List after swap: [-27, 11, -31, 19, 31, 79, -78, -49]
  Compare 79 and -78
  Swap 79 and -78
  List after swap: [-27, 11, -31, 19, 31, -78, 79, -49]
  Compare 79 and -49
  Swap 79 and -49
  List after swap: [-27, 11, -31, 19, 31, -78, -49, 79]

Pass 2:
  Compare -27 and 11
  No swap needed
  Compare 11 and -31
  Swap 11 and -31
  List after swap: [-27, -31, 11, 19, 31, -78, -49, 79]
  Compare 11 and 19
  No swap needed
  Compare 19 and 31
  No swap needed
  Compare 31 and -78
  Swap 31 and -78
  List after swap: [-27, -31, 11, 19, -78, 31, -49, 79]
  Compare 31 and -49
  Swap 31 and -49
  List after swap: [-27, -31, 11, 19, -78, -49, 31, 79]

Pass 3:
  Compare -27 and -31
  Swap -27 and -31
  List after swap: [-31, -27, 11, 19, -78, -49, 31, 79]
  Compare -27 and 11
  No swap needed
  Compare 11 and 19
  No swap needed
  Compare 19 and -78
  Swap 19 and -78
  List after swap: [-31, -27, 11, -78, 19, -49, 31, 79]
  Compare 19 and -49
  Swap 19 and -49
  List after swap: [-31, -27, 11, -78, -49, 19, 31, 79]

Pass 4:
  Compare -31 and -27
  No swap needed
  Compare -27 and 11
  No swap needed
  Compare 11 and -78
  Swap 11 and -78
  List after swap: [-31, -27, -78, 11, -49, 19, 31, 79]
  Compare 11 and -49
  Swap 11 and -49
  List after swap: [-31, -27, -78, -49, 11, 19, 31, 79]

Pass 5:
  Compare -31 and -27
  No swap needed
  Compare -27 and -78
  Swap -27 and -78
  List after swap: [-31, -78, -27, -49, 11, 19, 31, 79]
  Compare -27 and -49
  Swap -27 and -49
  List after swap: [-31, -78, -49, -27, 11, 19, 31, 79]

Pass 6:
  Compare -31 and -78
  Swap -31 and -78
  List after swap: [-78, -31, -49, -27, 11, 19, 31, 79]
  Compare -31 and -49
  Swap -31 and -49
  List after swap: [-78, -49, -31, -27, 11, 19, 31, 79]

Pass 7:
  Compare -78 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -49, -31, -27, 11, 19, 31, 79]
</think>

<response>-78, -49, -31, -27, 11, 19, 31, 79</response>


input: Perform a bubble sort on the integers -93, -90, -10, -78, 88, 73, -75, -5, -6, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-93, -90, -10, -78, 88, 73, -75, -5, -6]

Pass 1:
  Compare -93 and -90
  No swap needed
  Compare -90 and -10
  No swap needed
  Compare -10 and -78
  Swap -10 and -78
  List after swap: [-93, -90, -78, -10, 88, 73, -75, -5, -6]
  Compare -10 and 88
  No swap needed
  Compare 88 and 73
  Swap 88 and 73
  List after swap: [-93, -90, -78, -10, 73, 88, -75, -5, -6]
  Compare 88 and -75
  Swap 88 and -75
  List after swap: [-93, -90, -78, -10, 73, -75, 88, -5, -6]
  Compare 88 and -5
  Swap 88 and -5
  List after swap: [-93, -90, -78, -10, 73, -75, -5, 88, -6]
  Compare 88 and -6
  Swap 88 and -6
  List after swap: [-93, -90, -78, -10, 73, -75, -5, -6, 88]

Pass 2:
  Compare -93 and -90
  No swap needed
  Compare -90 and -78
  No swap needed
  Compare -78 and -10
  No swap needed
  Compare -10 and 73
  No swap needed
  Compare 73 and -75
  Swap 73 and -75
  List after swap: [-93, -90, -78, -10, -75, 73, -5, -6, 88]
  Compare 73 and -5
  Swap 73 and -5
  List after swap: [-93, -90, -78, -10, -75, -5, 73, -6, 88]
  Compare 73 and -6
  Swap 73 and -6
  List after swap: [-93, -90, -78, -10, -75, -5, -6, 73, 88]

Pass 3:
  Compare -93 and -90
  No swap needed
  Compare -90 and -78
  No swap needed
  Compare -78 and -10
  No swap needed
  Compare -10 and -75
  Swap -10 and -75
  List after swap: [-93, -90, -78, -75, -10, -5, -6, 73, 88]
  Compare -10 and -5
  No swap needed
  Compare -5 and -6
  Swap -5 and -6
  List after swap: [-93, -90, -78, -75, -10, -6, -5, 73, 88]

Pass 4:
  Compare -93 and -90
  No swap needed
  Compare -90 and -78
  No swap needed
  Compare -78 and -75
  No swap needed
  Compare -75 and -10
  No swap needed
  Compare -10 and -6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -90, -78, -75, -10, -6, -5, 73, 88]
</think>

<response>-93, -90, -78, -75, -10, -6, -5, 73, 88</response>


input: Sort these integers -87, 49, -7, -39, -36, 78, -3, 71, 1 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-87, 49, -7, -39, -36, 78, -3, 71, 1]

Pass 1:
  Compare -87 and 49
  No swap needed
  Compare 49 and -7
  Swap 49 and -7
  List after swap: [-87, -7, 49, -39, -36, 78, -3, 71, 1]
  Compare 49 and -39
  Swap 49 and -39
  List after swap: [-87, -7, -39, 49, -36, 78, -3, 71, 1]
  Compare 49 and -36
  Swap 49 and -36
  List after swap: [-87, -7, -39, -36, 49, 78, -3, 71, 1]
  Compare 49 and 78
  No swap needed
  Compare 78 and -3
  Swap 78 and -3
  List after swap: [-87, -7, -39, -36, 49, -3, 78, 71, 1]
  Compare 78 and 71
  Swap 78 and 71
  List after swap: [-87, -7, -39, -36, 49, -3, 71, 78, 1]
  Compare 78 and 1
  Swap 78 and 1
  List after swap: [-87, -7, -39, -36, 49, -3, 71, 1, 78]

Pass 2:
  Compare -87 and -7
  No swap needed
  Compare -7 and -39
  Swap -7 and -39
  List after swap: [-87, -39, -7, -36, 49, -3, 71, 1, 78]
  Compare -7 and -36
  Swap -7 and -36
  List after swap: [-87, -39, -36, -7, 49, -3, 71, 1, 78]
  Compare -7 and 49
  No swap needed
  Compare 49 and -3
  Swap 49 and -3
  List after swap: [-87, -39, -36, -7, -3, 49, 71, 1, 78]
  Compare 49 and 71
  No swap needed
  Compare 71 and 1
  Swap 71 and 1
  List after swap: [-87, -39, -36, -7, -3, 49, 1, 71, 78]

Pass 3:
  Compare -87 and -39
  No swap needed
  Compare -39 and -36
  No swap needed
  Compare -36 and -7
  No swap needed
  Compare -7 and -3
  No swap needed
  Compare -3 and 49
  No swap needed
  Compare 49 and 1
  Swap 49 and 1
  List after swap: [-87, -39, -36, -7, -3, 1, 49, 71, 78]

Pass 4:
  Compare -87 and -39
  No swap needed
  Compare -39 and -36
  No swap needed
  Compare -36 and -7
  No swap needed
  Compare -7 and -3
  No swap needed
  Compare -3 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -39, -36, -7, -3, 1, 49, 71, 78]
</think>

<response>-87, -39, -36, -7, -3, 1, 49, 71, 78</response>


input: Arrange the numbers -67, 98, -12, 7, 66, -73 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-67, 98, -12, 7, 66, -73]

Pass 1:
  Compare -67 and 98
  No swap needed
  Compare 98 and -12
  Swap 98 and -12
  List after swap: [-67, -12, 98, 7, 66, -73]
  Compare 98 and 7
  Swap 98 and 7
  List after swap: [-67, -12, 7, 98, 66, -73]
  Compare 98 and 66
  Swap 98 and 66
  List after swap: [-67, -12, 7, 66, 98, -73]
  Compare 98 and -73
  Swap 98 and -73
  List after swap: [-67, -12, 7, 66, -73, 98]

Pass 2:
  Compare -67 and -12
  No swap needed
  Compare -12 and 7
  No swap needed
  Compare 7 and 66
  No swap needed
  Compare 66 and -73
  Swap 66 and -73
  List after swap: [-67, -12, 7, -73, 66, 98]

Pass 3:
  Compare -67 and -12
  No swap needed
  Compare -12 and 7
  No swap needed
  Compare 7 and -73
  Swap 7 and -73
  List after swap: [-67, -12, -73, 7, 66, 98]

Pass 4:
  Compare -67 and -12
  No swap needed
  Compare -12 and -73
  Swap -12 and -73
  List after swap: [-67, -73, -12, 7, 66, 98]

Pass 5:
  Compare -67 and -73
  Swap -67 and -73
  List after swap: [-73, -67, -12, 7, 66, 98]

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

Final sorted list: [-73, -67, -12, 7, 66, 98]
</think>

<response>-73, -67, -12, 7, 66, 98</response>


input: Execute bubble sort to sort -7, 42, -52, -61, -19, 74, 15, 55, -12 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-7, 42, -52, -61, -19, 74, 15, 55, -12]

Pass 1:
  Compare -7 and 42
  No swap needed
  Compare 42 and -52
  Swap 42 and -52
  List after swap: [-7, -52, 42, -61, -19, 74, 15, 55, -12]
  Compare 42 and -61
  Swap 42 and -61
  List after swap: [-7, -52, -61, 42, -19, 74, 15, 55, -12]
  Compare 42 and -19
  Swap 42 and -19
  List after swap: [-7, -52, -61, -19, 42, 74, 15, 55, -12]
  Compare 42 and 74
  No swap needed
  Compare 74 and 15
  Swap 74 and 15
  List after swap: [-7, -52, -61, -19, 42, 15, 74, 55, -12]
  Compare 74 and 55
  Swap 74 and 55
  List after swap: [-7, -52, -61, -19, 42, 15, 55, 74, -12]
  Compare 74 and -12
  Swap 74 and -12
  List after swap: [-7, -52, -61, -19, 42, 15, 55, -12, 74]

Pass 2:
  Compare -7 and -52
  Swap -7 and -52
  List after swap: [-52, -7, -61, -19, 42, 15, 55, -12, 74]
  Compare -7 and -61
  Swap -7 and -61
  List after swap: [-52, -61, -7, -19, 42, 15, 55, -12, 74]
  Compare -7 and -19
  Swap -7 and -19
  List after swap: [-52, -61, -19, -7, 42, 15, 55, -12, 74]
  Compare -7 and 42
  No swap needed
  Compare 42 and 15
  Swap 42 and 15
  List after swap: [-52, -61, -19, -7, 15, 42, 55, -12, 74]
  Compare 42 and 55
  No swap needed
  Compare 55 and -12
  Swap 55 and -12
  List after swap: [-52, -61, -19, -7, 15, 42, -12, 55, 74]

Pass 3:
  Compare -52 and -61
  Swap -52 and -61
  List after swap: [-61, -52, -19, -7, 15, 42, -12, 55, 74]
  Compare -52 and -19
  No swap needed
  Compare -19 and -7
  No swap needed
  Compare -7 and 15
  No swap needed
  Compare 15 and 42
  No swap needed
  Compare 42 and -12
  Swap 42 and -12
  List after swap: [-61, -52, -19, -7, 15, -12, 42, 55, 74]

Pass 4:
  Compare -61 and -52
  No swap needed
  Compare -52 and -19
  No swap needed
  Compare -19 and -7
  No swap needed
  Compare -7 and 15
  No swap needed
  Compare 15 and -12
  Swap 15 and -12
  List after swap: [-61, -52, -19, -7, -12, 15, 42, 55, 74]

Pass 5:
  Compare -61 and -52
  No swap needed
  Compare -52 and -19
  No swap needed
  Compare -19 and -7
  No swap needed
  Compare -7 and -12
  Swap -7 and -12
  List after swap: [-61, -52, -19, -12, -7, 15, 42, 55, 74]

Pass 6:
  Compare -61 and -52
  No swap needed
  Compare -52 and -19
  No swap needed
  Compare -19 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -52, -19, -12, -7, 15, 42, 55, 74]
</think>

<response>-61, -52, -19, -12, -7, 15, 42, 55, 74</response>


input: Arrange the numbers -60, 84, 77, 5, -74, 11, 65, -80 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-60, 84, 77, 5, -74, 11, 65, -80]

Pass 1:
  Compare -60 and 84
  No swap needed
  Compare 84 and 77
  Swap 84 and 77
  List after swap: [-60, 77, 84, 5, -74, 11, 65, -80]
  Compare 84 and 5
  Swap 84 and 5
  List after swap: [-60, 77, 5, 84, -74, 11, 65, -80]
  Compare 84 and -74
  Swap 84 and -74
  List after swap: [-60, 77, 5, -74, 84, 11, 65, -80]
  Compare 84 and 11
  Swap 84 and 11
  List after swap: [-60, 77, 5, -74, 11, 84, 65, -80]
  Compare 84 and 65
  Swap 84 and 65
  List after swap: [-60, 77, 5, -74, 11, 65, 84, -80]
  Compare 84 and -80
  Swap 84 and -80
  List after swap: [-60, 77, 5, -74, 11, 65, -80, 84]

Pass 2:
  Compare -60 and 77
  No swap needed
  Compare 77 and 5
  Swap 77 and 5
  List after swap: [-60, 5, 77, -74, 11, 65, -80, 84]
  Compare 77 and -74
  Swap 77 and -74
  List after swap: [-60, 5, -74, 77, 11, 65, -80, 84]
  Compare 77 and 11
  Swap 77 and 11
  List after swap: [-60, 5, -74, 11, 77, 65, -80, 84]
  Compare 77 and 65
  Swap 77 and 65
  List after swap: [-60, 5, -74, 11, 65, 77, -80, 84]
  Compare 77 and -80
  Swap 77 and -80
  List after swap: [-60, 5, -74, 11, 65, -80, 77, 84]

Pass 3:
  Compare -60 and 5
  No swap needed
  Compare 5 and -74
  Swap 5 and -74
  List after swap: [-60, -74, 5, 11, 65, -80, 77, 84]
  Compare 5 and 11
  No swap needed
  Compare 11 and 65
  No swap needed
  Compare 65 and -80
  Swap 65 and -80
  List after swap: [-60, -74, 5, 11, -80, 65, 77, 84]

Pass 4:
  Compare -60 and -74
  Swap -60 and -74
  List after swap: [-74, -60, 5, 11, -80, 65, 77, 84]
  Compare -60 and 5
  No swap needed
  Compare 5 and 11
  No swap needed
  Compare 11 and -80
  Swap 11 and -80
  List after swap: [-74, -60, 5, -80, 11, 65, 77, 84]

Pass 5:
  Compare -74 and -60
  No swap needed
  Compare -60 and 5
  No swap needed
  Compare 5 and -80
  Swap 5 and -80
  List after swap: [-74, -60, -80, 5, 11, 65, 77, 84]

Pass 6:
  Compare -74 and -60
  No swap needed
  Compare -60 and -80
  Swap -60 and -80
  List after swap: [-74, -80, -60, 5, 11, 65, 77, 84]

Pass 7:
  Compare -74 and -80
  Swap -74 and -80
  List after swap: [-80, -74, -60, 5, 11, 65, 77, 84]

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

Final sorted list: [-80, -74, -60, 5, 11, 65, 77, 84]
</think>

<response>-80, -74, -60, 5, 11, 65, 77, 84</response>


input: Carry out the bubble sort algorithm on -83, 51, -64, -71, -74, -42, 65, 98, -77 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-83, 51, -64, -71, -74, -42, 65, 98, -77]

Pass 1:
  Compare -83 and 51
  No swap needed
  Compare 51 and -64
  Swap 51 and -64
  List after swap: [-83, -64, 51, -71, -74, -42, 65, 98, -77]
  Compare 51 and -71
  Swap 51 and -71
  List after swap: [-83, -64, -71, 51, -74, -42, 65, 98, -77]
  Compare 51 and -74
  Swap 51 and -74
  List after swap: [-83, -64, -71, -74, 51, -42, 65, 98, -77]
  Compare 51 and -42
  Swap 51 and -42
  List after swap: [-83, -64, -71, -74, -42, 51, 65, 98, -77]
  Compare 51 and 65
  No swap needed
  Compare 65 and 98
  No swap needed
  Compare 98 and -77
  Swap 98 and -77
  List after swap: [-83, -64, -71, -74, -42, 51, 65, -77, 98]

Pass 2:
  Compare -83 and -64
  No swap needed
  Compare -64 and -71
  Swap -64 and -71
  List after swap: [-83, -71, -64, -74, -42, 51, 65, -77, 98]
  Compare -64 and -74
  Swap -64 and -74
  List after swap: [-83, -71, -74, -64, -42, 51, 65, -77, 98]
  Compare -64 and -42
  No swap needed
  Compare -42 and 51
  No swap needed
  Compare 51 and 65
  No swap needed
  Compare 65 and -77
  Swap 65 and -77
  List after swap: [-83, -71, -74, -64, -42, 51, -77, 65, 98]

Pass 3:
  Compare -83 and -71
  No swap needed
  Compare -71 and -74
  Swap -71 and -74
  List after swap: [-83, -74, -71, -64, -42, 51, -77, 65, 98]
  Compare -71 and -64
  No swap needed
  Compare -64 and -42
  No swap needed
  Compare -42 and 51
  No swap needed
  Compare 51 and -77
  Swap 51 and -77
  List after swap: [-83, -74, -71, -64, -42, -77, 51, 65, 98]

Pass 4:
  Compare -83 and -74
  No swap needed
  Compare -74 and -71
  No swap needed
  Compare -71 and -64
  No swap needed
  Compare -64 and -42
  No swap needed
  Compare -42 and -77
  Swap -42 and -77
  List after swap: [-83, -74, -71, -64, -77, -42, 51, 65, 98]

Pass 5:
  Compare -83 and -74
  No swap needed
  Compare -74 and -71
  No swap needed
  Compare -71 and -64
  No swap needed
  Compare -64 and -77
  Swap -64 and -77
  List after swap: [-83, -74, -71, -77, -64, -42, 51, 65, 98]

Pass 6:
  Compare -83 and -74
  No swap needed
  Compare -74 and -71
  No swap needed
  Compare -71 and -77
  Swap -71 and -77
  List after swap: [-83, -74, -77, -71, -64, -42, 51, 65, 98]

Pass 7:
  Compare -83 and -74
  No swap needed
  Compare -74 and -77
  Swap -74 and -77
  List after swap: [-83, -77, -74, -71, -64, -42, 51, 65, 98]

Pass 8:
  Compare -83 and -77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -77, -74, -71, -64, -42, 51, 65, 98]
</think>

<response>-83, -77, -74, -71, -64, -42, 51, 65, 98</response>


input: Using the bubble sort method, sort -44, 87, 29, 11, 32, -15, 79, -63, 33 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-44, 87, 29, 11, 32, -15, 79, -63, 33]

Pass 1:
  Compare -44 and 87
  No swap needed
  Compare 87 and 29
  Swap 87 and 29
  List after swap: [-44, 29, 87, 11, 32, -15, 79, -63, 33]
  Compare 87 and 11
  Swap 87 and 11
  List after swap: [-44, 29, 11, 87, 32, -15, 79, -63, 33]
  Compare 87 and 32
  Swap 87 and 32
  List after swap: [-44, 29, 11, 32, 87, -15, 79, -63, 33]
  Compare 87 and -15
  Swap 87 and -15
  List after swap: [-44, 29, 11, 32, -15, 87, 79, -63, 33]
  Compare 87 and 79
  Swap 87 and 79
  List after swap: [-44, 29, 11, 32, -15, 79, 87, -63, 33]
  Compare 87 and -63
  Swap 87 and -63
  List after swap: [-44, 29, 11, 32, -15, 79, -63, 87, 33]
  Compare 87 and 33
  Swap 87 and 33
  List after swap: [-44, 29, 11, 32, -15, 79, -63, 33, 87]

Pass 2:
  Compare -44 and 29
  No swap needed
  Compare 29 and 11
  Swap 29 and 11
  List after swap: [-44, 11, 29, 32, -15, 79, -63, 33, 87]
  Compare 29 and 32
  No swap needed
  Compare 32 and -15
  Swap 32 and -15
  List after swap: [-44, 11, 29, -15, 32, 79, -63, 33, 87]
  Compare 32 and 79
  No swap needed
  Compare 79 and -63
  Swap 79 and -63
  List after swap: [-44, 11, 29, -15, 32, -63, 79, 33, 87]
  Compare 79 and 33
  Swap 79 and 33
  List after swap: [-44, 11, 29, -15, 32, -63, 33, 79, 87]

Pass 3:
  Compare -44 and 11
  No swap needed
  Compare 11 and 29
  No swap needed
  Compare 29 and -15
  Swap 29 and -15
  List after swap: [-44, 11, -15, 29, 32, -63, 33, 79, 87]
  Compare 29 and 32
  No swap needed
  Compare 32 and -63
  Swap 32 and -63
  List after swap: [-44, 11, -15, 29, -63, 32, 33, 79, 87]
  Compare 32 and 33
  No swap needed

Pass 4:
  Compare -44 and 11
  No swap needed
  Compare 11 and -15
  Swap 11 and -15
  List after swap: [-44, -15, 11, 29, -63, 32, 33, 79, 87]
  Compare 11 and 29
  No swap needed
  Compare 29 and -63
  Swap 29 and -63
  List after swap: [-44, -15, 11, -63, 29, 32, 33, 79, 87]
  Compare 29 and 32
  No swap needed

Pass 5:
  Compare -44 and -15
  No swap needed
  Compare -15 and 11
  No swap needed
  Compare 11 and -63
  Swap 11 and -63
  List after swap: [-44, -15, -63, 11, 29, 32, 33, 79, 87]
  Compare 11 and 29
  No swap needed

Pass 6:
  Compare -44 and -15
  No swap needed
  Compare -15 and -63
  Swap -15 and -63
  List after swap: [-44, -63, -15, 11, 29, 32, 33, 79, 87]
  Compare -15 and 11
  No swap needed

Pass 7:
  Compare -44 and -63
  Swap -44 and -63
  List after swap: [-63, -44, -15, 11, 29, 32, 33, 79, 87]
  Compare -44 and -15
  No swap needed

Pass 8:
  Compare -63 and -44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -44, -15, 11, 29, 32, 33, 79, 87]
</think>

<response>-63, -44, -15, 11, 29, 32, 33, 79, 87</response>


input: Carry out the bubble sort algorithm on -84, -81, -100, 47, -17, 66, -24, 65 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-84, -81, -100, 47, -17, 66, -24, 65]

Pass 1:
  Compare -84 and -81
  No swap needed
  Compare -81 and -100
  Swap -81 and -100
  List after swap: [-84, -100, -81, 47, -17, 66, -24, 65]
  Compare -81 and 47
  No swap needed
  Compare 47 and -17
  Swap 47 and -17
  List after swap: [-84, -100, -81, -17, 47, 66, -24, 65]
  Compare 47 and 66
  No swap needed
  Compare 66 and -24
  Swap 66 and -24
  List after swap: [-84, -100, -81, -17, 47, -24, 66, 65]
  Compare 66 and 65
  Swap 66 and 65
  List after swap: [-84, -100, -81, -17, 47, -24, 65, 66]

Pass 2:
  Compare -84 and -100
  Swap -84 and -100
  List after swap: [-100, -84, -81, -17, 47, -24, 65, 66]
  Compare -84 and -81
  No swap needed
  Compare -81 and -17
  No swap needed
  Compare -17 and 47
  No swap needed
  Compare 47 and -24
  Swap 47 and -24
  List after swap: [-100, -84, -81, -17, -24, 47, 65, 66]
  Compare 47 and 65
  No swap needed

Pass 3:
  Compare -100 and -84
  No swap needed
  Compare -84 and -81
  No swap needed
  Compare -81 and -17
  No swap needed
  Compare -17 and -24
  Swap -17 and -24
  List after swap: [-100, -84, -81, -24, -17, 47, 65, 66]
  Compare -17 and 47
  No swap needed

Pass 4:
  Compare -100 and -84
  No swap needed
  Compare -84 and -81
  No swap needed
  Compare -81 and -24
  No swap needed
  Compare -24 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -84, -81, -24, -17, 47, 65, 66]
</think>

<response>-100, -84, -81, -24, -17, 47, 65, 66</response>


input: Implement bubble sort on -10, 61, -62, 81, 96, -35, -64 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-10, 61, -62, 81, 96, -35, -64]

Pass 1:
  Compare -10 and 61
  No swap needed
  Compare 61 and -62
  Swap 61 and -62
  List after swap: [-10, -62, 61, 81, 96, -35, -64]
  Compare 61 and 81
  No swap needed
  Compare 81 and 96
  No swap needed
  Compare 96 and -35
  Swap 96 and -35
  List after swap: [-10, -62, 61, 81, -35, 96, -64]
  Compare 96 and -64
  Swap 96 and -64
  List after swap: [-10, -62, 61, 81, -35, -64, 96]

Pass 2:
  Compare -10 and -62
  Swap -10 and -62
  List after swap: [-62, -10, 61, 81, -35, -64, 96]
  Compare -10 and 61
  No swap needed
  Compare 61 and 81
  No swap needed
  Compare 81 and -35
  Swap 81 and -35
  List after swap: [-62, -10, 61, -35, 81, -64, 96]
  Compare 81 and -64
  Swap 81 and -64
  List after swap: [-62, -10, 61, -35, -64, 81, 96]

Pass 3:
  Compare -62 and -10
  No swap needed
  Compare -10 and 61
  No swap needed
  Compare 61 and -35
  Swap 61 and -35
  List after swap: [-62, -10, -35, 61, -64, 81, 96]
  Compare 61 and -64
  Swap 61 and -64
  List after swap: [-62, -10, -35, -64, 61, 81, 96]

Pass 4:
  Compare -62 and -10
  No swap needed
  Compare -10 and -35
  Swap -10 and -35
  List after swap: [-62, -35, -10, -64, 61, 81, 96]
  Compare -10 and -64
  Swap -10 and -64
  List after swap: [-62, -35, -64, -10, 61, 81, 96]

Pass 5:
  Compare -62 and -35
  No swap needed
  Compare -35 and -64
  Swap -35 and -64
  List after swap: [-62, -64, -35, -10, 61, 81, 96]

Pass 6:
  Compare -62 and -64
  Swap -62 and -64
  List after swap: [-64, -62, -35, -10, 61, 81, 96]

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

Final sorted list: [-64, -62, -35, -10, 61, 81, 96]
</think>

<response>-64, -62, -35, -10, 61, 81, 96</response>


input: Perform a bubble sort on the integers -91, 14, -87, 68, 41, 13, 0, 37, -59, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-91, 14, -87, 68, 41, 13, 0, 37, -59]

Pass 1:
  Compare -91 and 14
  No swap needed
  Compare 14 and -87
  Swap 14 and -87
  List after swap: [-91, -87, 14, 68, 41, 13, 0, 37, -59]
  Compare 14 and 68
  No swap needed
  Compare 68 and 41
  Swap 68 and 41
  List after swap: [-91, -87, 14, 41, 68, 13, 0, 37, -59]
  Compare 68 and 13
  Swap 68 and 13
  List after swap: [-91, -87, 14, 41, 13, 68, 0, 37, -59]
  Compare 68 and 0
  Swap 68 and 0
  List after swap: [-91, -87, 14, 41, 13, 0, 68, 37, -59]
  Compare 68 and 37
  Swap 68 and 37
  List after swap: [-91, -87, 14, 41, 13, 0, 37, 68, -59]
  Compare 68 and -59
  Swap 68 and -59
  List after swap: [-91, -87, 14, 41, 13, 0, 37, -59, 68]

Pass 2:
  Compare -91 and -87
  No swap needed
  Compare -87 and 14
  No swap needed
  Compare 14 and 41
  No swap needed
  Compare 41 and 13
  Swap 41 and 13
  List after swap: [-91, -87, 14, 13, 41, 0, 37, -59, 68]
  Compare 41 and 0
  Swap 41 and 0
  List after swap: [-91, -87, 14, 13, 0, 41, 37, -59, 68]
  Compare 41 and 37
  Swap 41 and 37
  List after swap: [-91, -87, 14, 13, 0, 37, 41, -59, 68]
  Compare 41 and -59
  Swap 41 and -59
  List after swap: [-91, -87, 14, 13, 0, 37, -59, 41, 68]

Pass 3:
  Compare -91 and -87
  No swap needed
  Compare -87 and 14
  No swap needed
  Compare 14 and 13
  Swap 14 and 13
  List after swap: [-91, -87, 13, 14, 0, 37, -59, 41, 68]
  Compare 14 and 0
  Swap 14 and 0
  List after swap: [-91, -87, 13, 0, 14, 37, -59, 41, 68]
  Compare 14 and 37
  No swap needed
  Compare 37 and -59
  Swap 37 and -59
  List after swap: [-91, -87, 13, 0, 14, -59, 37, 41, 68]

Pass 4:
  Compare -91 and -87
  No swap needed
  Compare -87 and 13
  No swap needed
  Compare 13 and 0
  Swap 13 and 0
  List after swap: [-91, -87, 0, 13, 14, -59, 37, 41, 68]
  Compare 13 and 14
  No swap needed
  Compare 14 and -59
  Swap 14 and -59
  List after swap: [-91, -87, 0, 13, -59, 14, 37, 41, 68]

Pass 5:
  Compare -91 and -87
  No swap needed
  Compare -87 and 0
  No swap needed
  Compare 0 and 13
  No swap needed
  Compare 13 and -59
  Swap 13 and -59
  List after swap: [-91, -87, 0, -59, 13, 14, 37, 41, 68]

Pass 6:
  Compare -91 and -87
  No swap needed
  Compare -87 and 0
  No swap needed
  Compare 0 and -59
  Swap 0 and -59
  List after swap: [-91, -87, -59, 0, 13, 14, 37, 41, 68]

Pass 7:
  Compare -91 and -87
  No swap needed
  Compare -87 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -87, -59, 0, 13, 14, 37, 41, 68]
</think>

<response>-91, -87, -59, 0, 13, 14, 37, 41, 68</response>


input: Sort these integers 37, -80, -44, -49, -60 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [37, -80, -44, -49, -60]

Pass 1:
  Compare 37 and -80
  Swap 37 and -80
  List after swap: [-80, 37, -44, -49, -60]
  Compare 37 and -44
  Swap 37 and -44
  List after swap: [-80, -44, 37, -49, -60]
  Compare 37 and -49
  Swap 37 and -49
  List after swap: [-80, -44, -49, 37, -60]
  Compare 37 and -60
  Swap 37 and -60
  List after swap: [-80, -44, -49, -60, 37]

Pass 2:
  Compare -80 and -44
  No swap needed
  Compare -44 and -49
  Swap -44 and -49
  List after swap: [-80, -49, -44, -60, 37]
  Compare -44 and -60
  Swap -44 and -60
  List after swap: [-80, -49, -60, -44, 37]

Pass 3:
  Compare -80 and -49
  No swap needed
  Compare -49 and -60
  Swap -49 and -60
  List after swap: [-80, -60, -49, -44, 37]

Pass 4:
  Compare -80 and -60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -60, -49, -44, 37]
</think>

<response>-80, -60, -49, -44, 37</response>


input: Execute bubble sort to sort 79, 81, 80, -82, 94, 84, 77 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [79, 81, 80, -82, 94, 84, 77]

Pass 1:
  Compare 79 and 81
  No swap needed
  Compare 81 and 80
  Swap 81 and 80
  List after swap: [79, 80, 81, -82, 94, 84, 77]
  Compare 81 and -82
  Swap 81 and -82
  List after swap: [79, 80, -82, 81, 94, 84, 77]
  Compare 81 and 94
  No swap needed
  Compare 94 and 84
  Swap 94 and 84
  List after swap: [79, 80, -82, 81, 84, 94, 77]
  Compare 94 and 77
  Swap 94 and 77
  List after swap: [79, 80, -82, 81, 84, 77, 94]

Pass 2:
  Compare 79 and 80
  No swap needed
  Compare 80 and -82
  Swap 80 and -82
  List after swap: [79, -82, 80, 81, 84, 77, 94]
  Compare 80 and 81
  No swap needed
  Compare 81 and 84
  No swap needed
  Compare 84 and 77
  Swap 84 and 77
  List after swap: [79, -82, 80, 81, 77, 84, 94]

Pass 3:
  Compare 79 and -82
  Swap 79 and -82
  List after swap: [-82, 79, 80, 81, 77, 84, 94]
  Compare 79 and 80
  No swap needed
  Compare 80 and 81
  No swap needed
  Compare 81 and 77
  Swap 81 and 77
  List after swap: [-82, 79, 80, 77, 81, 84, 94]

Pass 4:
  Compare -82 and 79
  No swap needed
  Compare 79 and 80
  No swap needed
  Compare 80 and 77
  Swap 80 and 77
  List after swap: [-82, 79, 77, 80, 81, 84, 94]

Pass 5:
  Compare -82 and 79
  No swap needed
  Compare 79 and 77
  Swap 79 and 77
  List after swap: [-82, 77, 79, 80, 81, 84, 94]

Pass 6:
  Compare -82 and 77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, 77, 79, 80, 81, 84, 94]
</think>

<response>-82, 77, 79, 80, 81, 84, 94</response>


input: Sort the list -40, -46, -16, 47, 30, 60 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-40, -46, -16, 47, 30, 60]

Pass 1:
  Compare -40 and -46
  Swap -40 and -46
  List after swap: [-46, -40, -16, 47, 30, 60]
  Compare -40 and -16
  No swap needed
  Compare -16 and 47
  No swap needed
  Compare 47 and 30
  Swap 47 and 30
  List after swap: [-46, -40, -16, 30, 47, 60]
  Compare 47 and 60
  No swap needed

Pass 2:
  Compare -46 and -40
  No swap needed
  Compare -40 and -16
  No swap needed
  Compare -16 and 30
  No swap needed
  Compare 30 and 47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-46, -40, -16, 30, 47, 60]
</think>

<response>-46, -40, -16, 30, 47, 60</response>