input: Arrange the numbers 32, 23, -64, 15, -77, 71 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [32, 23, -64, 15, -77, 71]

Pass 1:
  Compare 32 and 23
  Swap 32 and 23
  List after swap: [23, 32, -64, 15, -77, 71]
  Compare 32 and -64
  Swap 32 and -64
  List after swap: [23, -64, 32, 15, -77, 71]
  Compare 32 and 15
  Swap 32 and 15
  List after swap: [23, -64, 15, 32, -77, 71]
  Compare 32 and -77
  Swap 32 and -77
  List after swap: [23, -64, 15, -77, 32, 71]
  Compare 32 and 71
  No swap needed

Pass 2:
  Compare 23 and -64
  Swap 23 and -64
  List after swap: [-64, 23, 15, -77, 32, 71]
  Compare 23 and 15
  Swap 23 and 15
  List after swap: [-64, 15, 23, -77, 32, 71]
  Compare 23 and -77
  Swap 23 and -77
  List after swap: [-64, 15, -77, 23, 32, 71]
  Compare 23 and 32
  No swap needed

Pass 3:
  Compare -64 and 15
  No swap needed
  Compare 15 and -77
  Swap 15 and -77
  List after swap: [-64, -77, 15, 23, 32, 71]
  Compare 15 and 23
  No swap needed

Pass 4:
  Compare -64 and -77
  Swap -64 and -77
  List after swap: [-77, -64, 15, 23, 32, 71]
  Compare -64 and 15
  No swap needed

Pass 5:
  Compare -77 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -64, 15, 23, 32, 71]
</think>

<response>-77, -64, 15, 23, 32, 71</response>


input: Using the bubble sort method, sort 78, -71, -17, 41, 6, 64, -62, 74, -78, -61 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [78, -71, -17, 41, 6, 64, -62, 74, -78, -61]

Pass 1:
  Compare 78 and -71
  Swap 78 and -71
  List after swap: [-71, 78, -17, 41, 6, 64, -62, 74, -78, -61]
  Compare 78 and -17
  Swap 78 and -17
  List after swap: [-71, -17, 78, 41, 6, 64, -62, 74, -78, -61]
  Compare 78 and 41
  Swap 78 and 41
  List after swap: [-71, -17, 41, 78, 6, 64, -62, 74, -78, -61]
  Compare 78 and 6
  Swap 78 and 6
  List after swap: [-71, -17, 41, 6, 78, 64, -62, 74, -78, -61]
  Compare 78 and 64
  Swap 78 and 64
  List after swap: [-71, -17, 41, 6, 64, 78, -62, 74, -78, -61]
  Compare 78 and -62
  Swap 78 and -62
  List after swap: [-71, -17, 41, 6, 64, -62, 78, 74, -78, -61]
  Compare 78 and 74
  Swap 78 and 74
  List after swap: [-71, -17, 41, 6, 64, -62, 74, 78, -78, -61]
  Compare 78 and -78
  Swap 78 and -78
  List after swap: [-71, -17, 41, 6, 64, -62, 74, -78, 78, -61]
  Compare 78 and -61
  Swap 78 and -61
  List after swap: [-71, -17, 41, 6, 64, -62, 74, -78, -61, 78]

Pass 2:
  Compare -71 and -17
  No swap needed
  Compare -17 and 41
  No swap needed
  Compare 41 and 6
  Swap 41 and 6
  List after swap: [-71, -17, 6, 41, 64, -62, 74, -78, -61, 78]
  Compare 41 and 64
  No swap needed
  Compare 64 and -62
  Swap 64 and -62
  List after swap: [-71, -17, 6, 41, -62, 64, 74, -78, -61, 78]
  Compare 64 and 74
  No swap needed
  Compare 74 and -78
  Swap 74 and -78
  List after swap: [-71, -17, 6, 41, -62, 64, -78, 74, -61, 78]
  Compare 74 and -61
  Swap 74 and -61
  List after swap: [-71, -17, 6, 41, -62, 64, -78, -61, 74, 78]

Pass 3:
  Compare -71 and -17
  No swap needed
  Compare -17 and 6
  No swap needed
  Compare 6 and 41
  No swap needed
  Compare 41 and -62
  Swap 41 and -62
  List after swap: [-71, -17, 6, -62, 41, 64, -78, -61, 74, 78]
  Compare 41 and 64
  No swap needed
  Compare 64 and -78
  Swap 64 and -78
  List after swap: [-71, -17, 6, -62, 41, -78, 64, -61, 74, 78]
  Compare 64 and -61
  Swap 64 and -61
  List after swap: [-71, -17, 6, -62, 41, -78, -61, 64, 74, 78]

Pass 4:
  Compare -71 and -17
  No swap needed
  Compare -17 and 6
  No swap needed
  Compare 6 and -62
  Swap 6 and -62
  List after swap: [-71, -17, -62, 6, 41, -78, -61, 64, 74, 78]
  Compare 6 and 41
  No swap needed
  Compare 41 and -78
  Swap 41 and -78
  List after swap: [-71, -17, -62, 6, -78, 41, -61, 64, 74, 78]
  Compare 41 and -61
  Swap 41 and -61
  List after swap: [-71, -17, -62, 6, -78, -61, 41, 64, 74, 78]

Pass 5:
  Compare -71 and -17
  No swap needed
  Compare -17 and -62
  Swap -17 and -62
  List after swap: [-71, -62, -17, 6, -78, -61, 41, 64, 74, 78]
  Compare -17 and 6
  No swap needed
  Compare 6 and -78
  Swap 6 and -78
  List after swap: [-71, -62, -17, -78, 6, -61, 41, 64, 74, 78]
  Compare 6 and -61
  Swap 6 and -61
  List after swap: [-71, -62, -17, -78, -61, 6, 41, 64, 74, 78]

Pass 6:
  Compare -71 and -62
  No swap needed
  Compare -62 and -17
  No swap needed
  Compare -17 and -78
  Swap -17 and -78
  List after swap: [-71, -62, -78, -17, -61, 6, 41, 64, 74, 78]
  Compare -17 and -61
  Swap -17 and -61
  List after swap: [-71, -62, -78, -61, -17, 6, 41, 64, 74, 78]

Pass 7:
  Compare -71 and -62
  No swap needed
  Compare -62 and -78
  Swap -62 and -78
  List after swap: [-71, -78, -62, -61, -17, 6, 41, 64, 74, 78]
  Compare -62 and -61
  No swap needed

Pass 8:
  Compare -71 and -78
  Swap -71 and -78
  List after swap: [-78, -71, -62, -61, -17, 6, 41, 64, 74, 78]
  Compare -71 and -62
  No swap needed

Pass 9:
  Compare -78 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -71, -62, -61, -17, 6, 41, 64, 74, 78]
</think>

<response>-78, -71, -62, -61, -17, 6, 41, 64, 74, 78</response>


input: Perform a bubble sort on the integers -2, 75, -83, -40, 70, -84, 45, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-2, 75, -83, -40, 70, -84, 45]

Pass 1:
  Compare -2 and 75
  No swap needed
  Compare 75 and -83
  Swap 75 and -83
  List after swap: [-2, -83, 75, -40, 70, -84, 45]
  Compare 75 and -40
  Swap 75 and -40
  List after swap: [-2, -83, -40, 75, 70, -84, 45]
  Compare 75 and 70
  Swap 75 and 70
  List after swap: [-2, -83, -40, 70, 75, -84, 45]
  Compare 75 and -84
  Swap 75 and -84
  List after swap: [-2, -83, -40, 70, -84, 75, 45]
  Compare 75 and 45
  Swap 75 and 45
  List after swap: [-2, -83, -40, 70, -84, 45, 75]

Pass 2:
  Compare -2 and -83
  Swap -2 and -83
  List after swap: [-83, -2, -40, 70, -84, 45, 75]
  Compare -2 and -40
  Swap -2 and -40
  List after swap: [-83, -40, -2, 70, -84, 45, 75]
  Compare -2 and 70
  No swap needed
  Compare 70 and -84
  Swap 70 and -84
  List after swap: [-83, -40, -2, -84, 70, 45, 75]
  Compare 70 and 45
  Swap 70 and 45
  List after swap: [-83, -40, -2, -84, 45, 70, 75]

Pass 3:
  Compare -83 and -40
  No swap needed
  Compare -40 and -2
  No swap needed
  Compare -2 and -84
  Swap -2 and -84
  List after swap: [-83, -40, -84, -2, 45, 70, 75]
  Compare -2 and 45
  No swap needed

Pass 4:
  Compare -83 and -40
  No swap needed
  Compare -40 and -84
  Swap -40 and -84
  List after swap: [-83, -84, -40, -2, 45, 70, 75]
  Compare -40 and -2
  No swap needed

Pass 5:
  Compare -83 and -84
  Swap -83 and -84
  List after swap: [-84, -83, -40, -2, 45, 70, 75]
  Compare -83 and -40
  No swap needed

Pass 6:
  Compare -84 and -83
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -83, -40, -2, 45, 70, 75]
</think>

<response>-84, -83, -40, -2, 45, 70, 75</response>


input: Use the bubble sort technique to reorder -61, -7, 44, 48, 45, 85, 51 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-61, -7, 44, 48, 45, 85, 51]

Pass 1:
  Compare -61 and -7
  No swap needed
  Compare -7 and 44
  No swap needed
  Compare 44 and 48
  No swap needed
  Compare 48 and 45
  Swap 48 and 45
  List after swap: [-61, -7, 44, 45, 48, 85, 51]
  Compare 48 and 85
  No swap needed
  Compare 85 and 51
  Swap 85 and 51
  List after swap: [-61, -7, 44, 45, 48, 51, 85]

Pass 2:
  Compare -61 and -7
  No swap needed
  Compare -7 and 44
  No swap needed
  Compare 44 and 45
  No swap needed
  Compare 45 and 48
  No swap needed
  Compare 48 and 51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -7, 44, 45, 48, 51, 85]
</think>

<response>-61, -7, 44, 45, 48, 51, 85</response>


input: Arrange the numbers 35, -30 in ascending order by applying bubble sort, and display each intermediate step.

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

Pass 1:
  Compare 35 and -30
  Swap 35 and -30
  List after swap: [-30, 35]

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

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

<response>-30, 35</response>


input: Sort these integers 30, 17, -62, -52, 15, -40, -26, -30, -68, -25 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [30, 17, -62, -52, 15, -40, -26, -30, -68, -25]

Pass 1:
  Compare 30 and 17
  Swap 30 and 17
  List after swap: [17, 30, -62, -52, 15, -40, -26, -30, -68, -25]
  Compare 30 and -62
  Swap 30 and -62
  List after swap: [17, -62, 30, -52, 15, -40, -26, -30, -68, -25]
  Compare 30 and -52
  Swap 30 and -52
  List after swap: [17, -62, -52, 30, 15, -40, -26, -30, -68, -25]
  Compare 30 and 15
  Swap 30 and 15
  List after swap: [17, -62, -52, 15, 30, -40, -26, -30, -68, -25]
  Compare 30 and -40
  Swap 30 and -40
  List after swap: [17, -62, -52, 15, -40, 30, -26, -30, -68, -25]
  Compare 30 and -26
  Swap 30 and -26
  List after swap: [17, -62, -52, 15, -40, -26, 30, -30, -68, -25]
  Compare 30 and -30
  Swap 30 and -30
  List after swap: [17, -62, -52, 15, -40, -26, -30, 30, -68, -25]
  Compare 30 and -68
  Swap 30 and -68
  List after swap: [17, -62, -52, 15, -40, -26, -30, -68, 30, -25]
  Compare 30 and -25
  Swap 30 and -25
  List after swap: [17, -62, -52, 15, -40, -26, -30, -68, -25, 30]

Pass 2:
  Compare 17 and -62
  Swap 17 and -62
  List after swap: [-62, 17, -52, 15, -40, -26, -30, -68, -25, 30]
  Compare 17 and -52
  Swap 17 and -52
  List after swap: [-62, -52, 17, 15, -40, -26, -30, -68, -25, 30]
  Compare 17 and 15
  Swap 17 and 15
  List after swap: [-62, -52, 15, 17, -40, -26, -30, -68, -25, 30]
  Compare 17 and -40
  Swap 17 and -40
  List after swap: [-62, -52, 15, -40, 17, -26, -30, -68, -25, 30]
  Compare 17 and -26
  Swap 17 and -26
  List after swap: [-62, -52, 15, -40, -26, 17, -30, -68, -25, 30]
  Compare 17 and -30
  Swap 17 and -30
  List after swap: [-62, -52, 15, -40, -26, -30, 17, -68, -25, 30]
  Compare 17 and -68
  Swap 17 and -68
  List after swap: [-62, -52, 15, -40, -26, -30, -68, 17, -25, 30]
  Compare 17 and -25
  Swap 17 and -25
  List after swap: [-62, -52, 15, -40, -26, -30, -68, -25, 17, 30]

Pass 3:
  Compare -62 and -52
  No swap needed
  Compare -52 and 15
  No swap needed
  Compare 15 and -40
  Swap 15 and -40
  List after swap: [-62, -52, -40, 15, -26, -30, -68, -25, 17, 30]
  Compare 15 and -26
  Swap 15 and -26
  List after swap: [-62, -52, -40, -26, 15, -30, -68, -25, 17, 30]
  Compare 15 and -30
  Swap 15 and -30
  List after swap: [-62, -52, -40, -26, -30, 15, -68, -25, 17, 30]
  Compare 15 and -68
  Swap 15 and -68
  List after swap: [-62, -52, -40, -26, -30, -68, 15, -25, 17, 30]
  Compare 15 and -25
  Swap 15 and -25
  List after swap: [-62, -52, -40, -26, -30, -68, -25, 15, 17, 30]

Pass 4:
  Compare -62 and -52
  No swap needed
  Compare -52 and -40
  No swap needed
  Compare -40 and -26
  No swap needed
  Compare -26 and -30
  Swap -26 and -30
  List after swap: [-62, -52, -40, -30, -26, -68, -25, 15, 17, 30]
  Compare -26 and -68
  Swap -26 and -68
  List after swap: [-62, -52, -40, -30, -68, -26, -25, 15, 17, 30]
  Compare -26 and -25
  No swap needed

Pass 5:
  Compare -62 and -52
  No swap needed
  Compare -52 and -40
  No swap needed
  Compare -40 and -30
  No swap needed
  Compare -30 and -68
  Swap -30 and -68
  List after swap: [-62, -52, -40, -68, -30, -26, -25, 15, 17, 30]
  Compare -30 and -26
  No swap needed

Pass 6:
  Compare -62 and -52
  No swap needed
  Compare -52 and -40
  No swap needed
  Compare -40 and -68
  Swap -40 and -68
  List after swap: [-62, -52, -68, -40, -30, -26, -25, 15, 17, 30]
  Compare -40 and -30
  No swap needed

Pass 7:
  Compare -62 and -52
  No swap needed
  Compare -52 and -68
  Swap -52 and -68
  List after swap: [-62, -68, -52, -40, -30, -26, -25, 15, 17, 30]
  Compare -52 and -40
  No swap needed

Pass 8:
  Compare -62 and -68
  Swap -62 and -68
  List after swap: [-68, -62, -52, -40, -30, -26, -25, 15, 17, 30]
  Compare -62 and -52
  No swap needed

Pass 9:
  Compare -68 and -62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -62, -52, -40, -30, -26, -25, 15, 17, 30]
</think>

<response>-68, -62, -52, -40, -30, -26, -25, 15, 17, 30</response>


input: Implement bubble sort on 57, -94, 62, 40, -67, 3, -43 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [57, -94, 62, 40, -67, 3, -43]

Pass 1:
  Compare 57 and -94
  Swap 57 and -94
  List after swap: [-94, 57, 62, 40, -67, 3, -43]
  Compare 57 and 62
  No swap needed
  Compare 62 and 40
  Swap 62 and 40
  List after swap: [-94, 57, 40, 62, -67, 3, -43]
  Compare 62 and -67
  Swap 62 and -67
  List after swap: [-94, 57, 40, -67, 62, 3, -43]
  Compare 62 and 3
  Swap 62 and 3
  List after swap: [-94, 57, 40, -67, 3, 62, -43]
  Compare 62 and -43
  Swap 62 and -43
  List after swap: [-94, 57, 40, -67, 3, -43, 62]

Pass 2:
  Compare -94 and 57
  No swap needed
  Compare 57 and 40
  Swap 57 and 40
  List after swap: [-94, 40, 57, -67, 3, -43, 62]
  Compare 57 and -67
  Swap 57 and -67
  List after swap: [-94, 40, -67, 57, 3, -43, 62]
  Compare 57 and 3
  Swap 57 and 3
  List after swap: [-94, 40, -67, 3, 57, -43, 62]
  Compare 57 and -43
  Swap 57 and -43
  List after swap: [-94, 40, -67, 3, -43, 57, 62]

Pass 3:
  Compare -94 and 40
  No swap needed
  Compare 40 and -67
  Swap 40 and -67
  List after swap: [-94, -67, 40, 3, -43, 57, 62]
  Compare 40 and 3
  Swap 40 and 3
  List after swap: [-94, -67, 3, 40, -43, 57, 62]
  Compare 40 and -43
  Swap 40 and -43
  List after swap: [-94, -67, 3, -43, 40, 57, 62]

Pass 4:
  Compare -94 and -67
  No swap needed
  Compare -67 and 3
  No swap needed
  Compare 3 and -43
  Swap 3 and -43
  List after swap: [-94, -67, -43, 3, 40, 57, 62]

Pass 5:
  Compare -94 and -67
  No swap needed
  Compare -67 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -67, -43, 3, 40, 57, 62]
</think>

<response>-94, -67, -43, 3, 40, 57, 62</response>


input: Perform a bubble sort on the integers -28, -51, 88, 31, 55, 44, -63, -5, 61, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-28, -51, 88, 31, 55, 44, -63, -5, 61]

Pass 1:
  Compare -28 and -51
  Swap -28 and -51
  List after swap: [-51, -28, 88, 31, 55, 44, -63, -5, 61]
  Compare -28 and 88
  No swap needed
  Compare 88 and 31
  Swap 88 and 31
  List after swap: [-51, -28, 31, 88, 55, 44, -63, -5, 61]
  Compare 88 and 55
  Swap 88 and 55
  List after swap: [-51, -28, 31, 55, 88, 44, -63, -5, 61]
  Compare 88 and 44
  Swap 88 and 44
  List after swap: [-51, -28, 31, 55, 44, 88, -63, -5, 61]
  Compare 88 and -63
  Swap 88 and -63
  List after swap: [-51, -28, 31, 55, 44, -63, 88, -5, 61]
  Compare 88 and -5
  Swap 88 and -5
  List after swap: [-51, -28, 31, 55, 44, -63, -5, 88, 61]
  Compare 88 and 61
  Swap 88 and 61
  List after swap: [-51, -28, 31, 55, 44, -63, -5, 61, 88]

Pass 2:
  Compare -51 and -28
  No swap needed
  Compare -28 and 31
  No swap needed
  Compare 31 and 55
  No swap needed
  Compare 55 and 44
  Swap 55 and 44
  List after swap: [-51, -28, 31, 44, 55, -63, -5, 61, 88]
  Compare 55 and -63
  Swap 55 and -63
  List after swap: [-51, -28, 31, 44, -63, 55, -5, 61, 88]
  Compare 55 and -5
  Swap 55 and -5
  List after swap: [-51, -28, 31, 44, -63, -5, 55, 61, 88]
  Compare 55 and 61
  No swap needed

Pass 3:
  Compare -51 and -28
  No swap needed
  Compare -28 and 31
  No swap needed
  Compare 31 and 44
  No swap needed
  Compare 44 and -63
  Swap 44 and -63
  List after swap: [-51, -28, 31, -63, 44, -5, 55, 61, 88]
  Compare 44 and -5
  Swap 44 and -5
  List after swap: [-51, -28, 31, -63, -5, 44, 55, 61, 88]
  Compare 44 and 55
  No swap needed

Pass 4:
  Compare -51 and -28
  No swap needed
  Compare -28 and 31
  No swap needed
  Compare 31 and -63
  Swap 31 and -63
  List after swap: [-51, -28, -63, 31, -5, 44, 55, 61, 88]
  Compare 31 and -5
  Swap 31 and -5
  List after swap: [-51, -28, -63, -5, 31, 44, 55, 61, 88]
  Compare 31 and 44
  No swap needed

Pass 5:
  Compare -51 and -28
  No swap needed
  Compare -28 and -63
  Swap -28 and -63
  List after swap: [-51, -63, -28, -5, 31, 44, 55, 61, 88]
  Compare -28 and -5
  No swap needed
  Compare -5 and 31
  No swap needed

Pass 6:
  Compare -51 and -63
  Swap -51 and -63
  List after swap: [-63, -51, -28, -5, 31, 44, 55, 61, 88]
  Compare -51 and -28
  No swap needed
  Compare -28 and -5
  No swap needed

Pass 7:
  Compare -63 and -51
  No swap needed
  Compare -51 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -51, -28, -5, 31, 44, 55, 61, 88]
</think>

<response>-63, -51, -28, -5, 31, 44, 55, 61, 88</response>


input: Using the bubble sort method, sort 72, 66, 9, 56, -15, 93, -66, -99, -48 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [72, 66, 9, 56, -15, 93, -66, -99, -48]

Pass 1:
  Compare 72 and 66
  Swap 72 and 66
  List after swap: [66, 72, 9, 56, -15, 93, -66, -99, -48]
  Compare 72 and 9
  Swap 72 and 9
  List after swap: [66, 9, 72, 56, -15, 93, -66, -99, -48]
  Compare 72 and 56
  Swap 72 and 56
  List after swap: [66, 9, 56, 72, -15, 93, -66, -99, -48]
  Compare 72 and -15
  Swap 72 and -15
  List after swap: [66, 9, 56, -15, 72, 93, -66, -99, -48]
  Compare 72 and 93
  No swap needed
  Compare 93 and -66
  Swap 93 and -66
  List after swap: [66, 9, 56, -15, 72, -66, 93, -99, -48]
  Compare 93 and -99
  Swap 93 and -99
  List after swap: [66, 9, 56, -15, 72, -66, -99, 93, -48]
  Compare 93 and -48
  Swap 93 and -48
  List after swap: [66, 9, 56, -15, 72, -66, -99, -48, 93]

Pass 2:
  Compare 66 and 9
  Swap 66 and 9
  List after swap: [9, 66, 56, -15, 72, -66, -99, -48, 93]
  Compare 66 and 56
  Swap 66 and 56
  List after swap: [9, 56, 66, -15, 72, -66, -99, -48, 93]
  Compare 66 and -15
  Swap 66 and -15
  List after swap: [9, 56, -15, 66, 72, -66, -99, -48, 93]
  Compare 66 and 72
  No swap needed
  Compare 72 and -66
  Swap 72 and -66
  List after swap: [9, 56, -15, 66, -66, 72, -99, -48, 93]
  Compare 72 and -99
  Swap 72 and -99
  List after swap: [9, 56, -15, 66, -66, -99, 72, -48, 93]
  Compare 72 and -48
  Swap 72 and -48
  List after swap: [9, 56, -15, 66, -66, -99, -48, 72, 93]

Pass 3:
  Compare 9 and 56
  No swap needed
  Compare 56 and -15
  Swap 56 and -15
  List after swap: [9, -15, 56, 66, -66, -99, -48, 72, 93]
  Compare 56 and 66
  No swap needed
  Compare 66 and -66
  Swap 66 and -66
  List after swap: [9, -15, 56, -66, 66, -99, -48, 72, 93]
  Compare 66 and -99
  Swap 66 and -99
  List after swap: [9, -15, 56, -66, -99, 66, -48, 72, 93]
  Compare 66 and -48
  Swap 66 and -48
  List after swap: [9, -15, 56, -66, -99, -48, 66, 72, 93]

Pass 4:
  Compare 9 and -15
  Swap 9 and -15
  List after swap: [-15, 9, 56, -66, -99, -48, 66, 72, 93]
  Compare 9 and 56
  No swap needed
  Compare 56 and -66
  Swap 56 and -66
  List after swap: [-15, 9, -66, 56, -99, -48, 66, 72, 93]
  Compare 56 and -99
  Swap 56 and -99
  List after swap: [-15, 9, -66, -99, 56, -48, 66, 72, 93]
  Compare 56 and -48
  Swap 56 and -48
  List after swap: [-15, 9, -66, -99, -48, 56, 66, 72, 93]

Pass 5:
  Compare -15 and 9
  No swap needed
  Compare 9 and -66
  Swap 9 and -66
  List after swap: [-15, -66, 9, -99, -48, 56, 66, 72, 93]
  Compare 9 and -99
  Swap 9 and -99
  List after swap: [-15, -66, -99, 9, -48, 56, 66, 72, 93]
  Compare 9 and -48
  Swap 9 and -48
  List after swap: [-15, -66, -99, -48, 9, 56, 66, 72, 93]

Pass 6:
  Compare -15 and -66
  Swap -15 and -66
  List after swap: [-66, -15, -99, -48, 9, 56, 66, 72, 93]
  Compare -15 and -99
  Swap -15 and -99
  List after swap: [-66, -99, -15, -48, 9, 56, 66, 72, 93]
  Compare -15 and -48
  Swap -15 and -48
  List after swap: [-66, -99, -48, -15, 9, 56, 66, 72, 93]

Pass 7:
  Compare -66 and -99
  Swap -66 and -99
  List after swap: [-99, -66, -48, -15, 9, 56, 66, 72, 93]
  Compare -66 and -48
  No swap needed

Pass 8:
  Compare -99 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -66, -48, -15, 9, 56, 66, 72, 93]
</think>

<response>-99, -66, -48, -15, 9, 56, 66, 72, 93</response>


input: Using the bubble sort method, sort -54, -59, 25, 12, 76, -16, 52 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-54, -59, 25, 12, 76, -16, 52]

Pass 1:
  Compare -54 and -59
  Swap -54 and -59
  List after swap: [-59, -54, 25, 12, 76, -16, 52]
  Compare -54 and 25
  No swap needed
  Compare 25 and 12
  Swap 25 and 12
  List after swap: [-59, -54, 12, 25, 76, -16, 52]
  Compare 25 and 76
  No swap needed
  Compare 76 and -16
  Swap 76 and -16
  List after swap: [-59, -54, 12, 25, -16, 76, 52]
  Compare 76 and 52
  Swap 76 and 52
  List after swap: [-59, -54, 12, 25, -16, 52, 76]

Pass 2:
  Compare -59 and -54
  No swap needed
  Compare -54 and 12
  No swap needed
  Compare 12 and 25
  No swap needed
  Compare 25 and -16
  Swap 25 and -16
  List after swap: [-59, -54, 12, -16, 25, 52, 76]
  Compare 25 and 52
  No swap needed

Pass 3:
  Compare -59 and -54
  No swap needed
  Compare -54 and 12
  No swap needed
  Compare 12 and -16
  Swap 12 and -16
  List after swap: [-59, -54, -16, 12, 25, 52, 76]
  Compare 12 and 25
  No swap needed

Pass 4:
  Compare -59 and -54
  No swap needed
  Compare -54 and -16
  No swap needed
  Compare -16 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, -54, -16, 12, 25, 52, 76]
</think>

<response>-59, -54, -16, 12, 25, 52, 76</response>


input: Implement bubble sort on -18, -99, -10 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-18, -99, -10]

Pass 1:
  Compare -18 and -99
  Swap -18 and -99
  List after swap: [-99, -18, -10]
  Compare -18 and -10
  No swap needed

Pass 2:
  Compare -99 and -18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -18, -10]
</think>

<response>-99, -18, -10</response>


input: Demonstrate how bubble sort orders the integers -73, -42, 41, -50, -88, 46, 89, -20 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-73, -42, 41, -50, -88, 46, 89, -20]

Pass 1:
  Compare -73 and -42
  No swap needed
  Compare -42 and 41
  No swap needed
  Compare 41 and -50
  Swap 41 and -50
  List after swap: [-73, -42, -50, 41, -88, 46, 89, -20]
  Compare 41 and -88
  Swap 41 and -88
  List after swap: [-73, -42, -50, -88, 41, 46, 89, -20]
  Compare 41 and 46
  No swap needed
  Compare 46 and 89
  No swap needed
  Compare 89 and -20
  Swap 89 and -20
  List after swap: [-73, -42, -50, -88, 41, 46, -20, 89]

Pass 2:
  Compare -73 and -42
  No swap needed
  Compare -42 and -50
  Swap -42 and -50
  List after swap: [-73, -50, -42, -88, 41, 46, -20, 89]
  Compare -42 and -88
  Swap -42 and -88
  List after swap: [-73, -50, -88, -42, 41, 46, -20, 89]
  Compare -42 and 41
  No swap needed
  Compare 41 and 46
  No swap needed
  Compare 46 and -20
  Swap 46 and -20
  List after swap: [-73, -50, -88, -42, 41, -20, 46, 89]

Pass 3:
  Compare -73 and -50
  No swap needed
  Compare -50 and -88
  Swap -50 and -88
  List after swap: [-73, -88, -50, -42, 41, -20, 46, 89]
  Compare -50 and -42
  No swap needed
  Compare -42 and 41
  No swap needed
  Compare 41 and -20
  Swap 41 and -20
  List after swap: [-73, -88, -50, -42, -20, 41, 46, 89]

Pass 4:
  Compare -73 and -88
  Swap -73 and -88
  List after swap: [-88, -73, -50, -42, -20, 41, 46, 89]
  Compare -73 and -50
  No swap needed
  Compare -50 and -42
  No swap needed
  Compare -42 and -20
  No swap needed

Pass 5:
  Compare -88 and -73
  No swap needed
  Compare -73 and -50
  No swap needed
  Compare -50 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -73, -50, -42, -20, 41, 46, 89]
</think>

<response>-88, -73, -50, -42, -20, 41, 46, 89</response>


input: Arrange the numbers -4, -5, -3, 37, 3, -77 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-4, -5, -3, 37, 3, -77]

Pass 1:
  Compare -4 and -5
  Swap -4 and -5
  List after swap: [-5, -4, -3, 37, 3, -77]
  Compare -4 and -3
  No swap needed
  Compare -3 and 37
  No swap needed
  Compare 37 and 3
  Swap 37 and 3
  List after swap: [-5, -4, -3, 3, 37, -77]
  Compare 37 and -77
  Swap 37 and -77
  List after swap: [-5, -4, -3, 3, -77, 37]

Pass 2:
  Compare -5 and -4
  No swap needed
  Compare -4 and -3
  No swap needed
  Compare -3 and 3
  No swap needed
  Compare 3 and -77
  Swap 3 and -77
  List after swap: [-5, -4, -3, -77, 3, 37]

Pass 3:
  Compare -5 and -4
  No swap needed
  Compare -4 and -3
  No swap needed
  Compare -3 and -77
  Swap -3 and -77
  List after swap: [-5, -4, -77, -3, 3, 37]

Pass 4:
  Compare -5 and -4
  No swap needed
  Compare -4 and -77
  Swap -4 and -77
  List after swap: [-5, -77, -4, -3, 3, 37]

Pass 5:
  Compare -5 and -77
  Swap -5 and -77
  List after swap: [-77, -5, -4, -3, 3, 37]

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

Final sorted list: [-77, -5, -4, -3, 3, 37]
</think>

<response>-77, -5, -4, -3, 3, 37</response>


input: Execute bubble sort to sort -76, -29, -22, 2, -90, 39, -68, -55 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-76, -29, -22, 2, -90, 39, -68, -55]

Pass 1:
  Compare -76 and -29
  No swap needed
  Compare -29 and -22
  No swap needed
  Compare -22 and 2
  No swap needed
  Compare 2 and -90
  Swap 2 and -90
  List after swap: [-76, -29, -22, -90, 2, 39, -68, -55]
  Compare 2 and 39
  No swap needed
  Compare 39 and -68
  Swap 39 and -68
  List after swap: [-76, -29, -22, -90, 2, -68, 39, -55]
  Compare 39 and -55
  Swap 39 and -55
  List after swap: [-76, -29, -22, -90, 2, -68, -55, 39]

Pass 2:
  Compare -76 and -29
  No swap needed
  Compare -29 and -22
  No swap needed
  Compare -22 and -90
  Swap -22 and -90
  List after swap: [-76, -29, -90, -22, 2, -68, -55, 39]
  Compare -22 and 2
  No swap needed
  Compare 2 and -68
  Swap 2 and -68
  List after swap: [-76, -29, -90, -22, -68, 2, -55, 39]
  Compare 2 and -55
  Swap 2 and -55
  List after swap: [-76, -29, -90, -22, -68, -55, 2, 39]

Pass 3:
  Compare -76 and -29
  No swap needed
  Compare -29 and -90
  Swap -29 and -90
  List after swap: [-76, -90, -29, -22, -68, -55, 2, 39]
  Compare -29 and -22
  No swap needed
  Compare -22 and -68
  Swap -22 and -68
  List after swap: [-76, -90, -29, -68, -22, -55, 2, 39]
  Compare -22 and -55
  Swap -22 and -55
  List after swap: [-76, -90, -29, -68, -55, -22, 2, 39]

Pass 4:
  Compare -76 and -90
  Swap -76 and -90
  List after swap: [-90, -76, -29, -68, -55, -22, 2, 39]
  Compare -76 and -29
  No swap needed
  Compare -29 and -68
  Swap -29 and -68
  List after swap: [-90, -76, -68, -29, -55, -22, 2, 39]
  Compare -29 and -55
  Swap -29 and -55
  List after swap: [-90, -76, -68, -55, -29, -22, 2, 39]

Pass 5:
  Compare -90 and -76
  No swap needed
  Compare -76 and -68
  No swap needed
  Compare -68 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -76, -68, -55, -29, -22, 2, 39]
</think>

<response>-90, -76, -68, -55, -29, -22, 2, 39</response>


input: Carry out the bubble sort algorithm on 96, 52, 65, -94, -38, -2 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [96, 52, 65, -94, -38, -2]

Pass 1:
  Compare 96 and 52
  Swap 96 and 52
  List after swap: [52, 96, 65, -94, -38, -2]
  Compare 96 and 65
  Swap 96 and 65
  List after swap: [52, 65, 96, -94, -38, -2]
  Compare 96 and -94
  Swap 96 and -94
  List after swap: [52, 65, -94, 96, -38, -2]
  Compare 96 and -38
  Swap 96 and -38
  List after swap: [52, 65, -94, -38, 96, -2]
  Compare 96 and -2
  Swap 96 and -2
  List after swap: [52, 65, -94, -38, -2, 96]

Pass 2:
  Compare 52 and 65
  No swap needed
  Compare 65 and -94
  Swap 65 and -94
  List after swap: [52, -94, 65, -38, -2, 96]
  Compare 65 and -38
  Swap 65 and -38
  List after swap: [52, -94, -38, 65, -2, 96]
  Compare 65 and -2
  Swap 65 and -2
  List after swap: [52, -94, -38, -2, 65, 96]

Pass 3:
  Compare 52 and -94
  Swap 52 and -94
  List after swap: [-94, 52, -38, -2, 65, 96]
  Compare 52 and -38
  Swap 52 and -38
  List after swap: [-94, -38, 52, -2, 65, 96]
  Compare 52 and -2
  Swap 52 and -2
  List after swap: [-94, -38, -2, 52, 65, 96]

Pass 4:
  Compare -94 and -38
  No swap needed
  Compare -38 and -2
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -38, -2, 52, 65, 96]
</think>

<response>-94, -38, -2, 52, 65, 96</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 52, -5.

output:
<think>
Initial list: [52, -5]

Pass 1:
  Compare 52 and -5
  Swap 52 and -5
  List after swap: [-5, 52]

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

Final sorted list: [-5, 52]
</think>

<response>-5, 52</response>


input: Sort the list -12, 34, -52, -74, 5, 97 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-12, 34, -52, -74, 5, 97]

Pass 1:
  Compare -12 and 34
  No swap needed
  Compare 34 and -52
  Swap 34 and -52
  List after swap: [-12, -52, 34, -74, 5, 97]
  Compare 34 and -74
  Swap 34 and -74
  List after swap: [-12, -52, -74, 34, 5, 97]
  Compare 34 and 5
  Swap 34 and 5
  List after swap: [-12, -52, -74, 5, 34, 97]
  Compare 34 and 97
  No swap needed

Pass 2:
  Compare -12 and -52
  Swap -12 and -52
  List after swap: [-52, -12, -74, 5, 34, 97]
  Compare -12 and -74
  Swap -12 and -74
  List after swap: [-52, -74, -12, 5, 34, 97]
  Compare -12 and 5
  No swap needed
  Compare 5 and 34
  No swap needed

Pass 3:
  Compare -52 and -74
  Swap -52 and -74
  List after swap: [-74, -52, -12, 5, 34, 97]
  Compare -52 and -12
  No swap needed
  Compare -12 and 5
  No swap needed

Pass 4:
  Compare -74 and -52
  No swap needed
  Compare -52 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -52, -12, 5, 34, 97]
</think>

<response>-74, -52, -12, 5, 34, 97</response>


input: Sort these integers -81, 63, -24, -16, 47, -67 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-81, 63, -24, -16, 47, -67]

Pass 1:
  Compare -81 and 63
  No swap needed
  Compare 63 and -24
  Swap 63 and -24
  List after swap: [-81, -24, 63, -16, 47, -67]
  Compare 63 and -16
  Swap 63 and -16
  List after swap: [-81, -24, -16, 63, 47, -67]
  Compare 63 and 47
  Swap 63 and 47
  List after swap: [-81, -24, -16, 47, 63, -67]
  Compare 63 and -67
  Swap 63 and -67
  List after swap: [-81, -24, -16, 47, -67, 63]

Pass 2:
  Compare -81 and -24
  No swap needed
  Compare -24 and -16
  No swap needed
  Compare -16 and 47
  No swap needed
  Compare 47 and -67
  Swap 47 and -67
  List after swap: [-81, -24, -16, -67, 47, 63]

Pass 3:
  Compare -81 and -24
  No swap needed
  Compare -24 and -16
  No swap needed
  Compare -16 and -67
  Swap -16 and -67
  List after swap: [-81, -24, -67, -16, 47, 63]

Pass 4:
  Compare -81 and -24
  No swap needed
  Compare -24 and -67
  Swap -24 and -67
  List after swap: [-81, -67, -24, -16, 47, 63]

Pass 5:
  Compare -81 and -67
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -67, -24, -16, 47, 63]
</think>

<response>-81, -67, -24, -16, 47, 63</response>


input: Sort the list -74, 37, -47, 71, 91, -72 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-74, 37, -47, 71, 91, -72]

Pass 1:
  Compare -74 and 37
  No swap needed
  Compare 37 and -47
  Swap 37 and -47
  List after swap: [-74, -47, 37, 71, 91, -72]
  Compare 37 and 71
  No swap needed
  Compare 71 and 91
  No swap needed
  Compare 91 and -72
  Swap 91 and -72
  List after swap: [-74, -47, 37, 71, -72, 91]

Pass 2:
  Compare -74 and -47
  No swap needed
  Compare -47 and 37
  No swap needed
  Compare 37 and 71
  No swap needed
  Compare 71 and -72
  Swap 71 and -72
  List after swap: [-74, -47, 37, -72, 71, 91]

Pass 3:
  Compare -74 and -47
  No swap needed
  Compare -47 and 37
  No swap needed
  Compare 37 and -72
  Swap 37 and -72
  List after swap: [-74, -47, -72, 37, 71, 91]

Pass 4:
  Compare -74 and -47
  No swap needed
  Compare -47 and -72
  Swap -47 and -72
  List after swap: [-74, -72, -47, 37, 71, 91]

Pass 5:
  Compare -74 and -72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -72, -47, 37, 71, 91]
</think>

<response>-74, -72, -47, 37, 71, 91</response>


input: Implement bubble sort on -89, -5, 57, -90, -16, -82, 64, -12, 54 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-89, -5, 57, -90, -16, -82, 64, -12, 54]

Pass 1:
  Compare -89 and -5
  No swap needed
  Compare -5 and 57
  No swap needed
  Compare 57 and -90
  Swap 57 and -90
  List after swap: [-89, -5, -90, 57, -16, -82, 64, -12, 54]
  Compare 57 and -16
  Swap 57 and -16
  List after swap: [-89, -5, -90, -16, 57, -82, 64, -12, 54]
  Compare 57 and -82
  Swap 57 and -82
  List after swap: [-89, -5, -90, -16, -82, 57, 64, -12, 54]
  Compare 57 and 64
  No swap needed
  Compare 64 and -12
  Swap 64 and -12
  List after swap: [-89, -5, -90, -16, -82, 57, -12, 64, 54]
  Compare 64 and 54
  Swap 64 and 54
  List after swap: [-89, -5, -90, -16, -82, 57, -12, 54, 64]

Pass 2:
  Compare -89 and -5
  No swap needed
  Compare -5 and -90
  Swap -5 and -90
  List after swap: [-89, -90, -5, -16, -82, 57, -12, 54, 64]
  Compare -5 and -16
  Swap -5 and -16
  List after swap: [-89, -90, -16, -5, -82, 57, -12, 54, 64]
  Compare -5 and -82
  Swap -5 and -82
  List after swap: [-89, -90, -16, -82, -5, 57, -12, 54, 64]
  Compare -5 and 57
  No swap needed
  Compare 57 and -12
  Swap 57 and -12
  List after swap: [-89, -90, -16, -82, -5, -12, 57, 54, 64]
  Compare 57 and 54
  Swap 57 and 54
  List after swap: [-89, -90, -16, -82, -5, -12, 54, 57, 64]

Pass 3:
  Compare -89 and -90
  Swap -89 and -90
  List after swap: [-90, -89, -16, -82, -5, -12, 54, 57, 64]
  Compare -89 and -16
  No swap needed
  Compare -16 and -82
  Swap -16 and -82
  List after swap: [-90, -89, -82, -16, -5, -12, 54, 57, 64]
  Compare -16 and -5
  No swap needed
  Compare -5 and -12
  Swap -5 and -12
  List after swap: [-90, -89, -82, -16, -12, -5, 54, 57, 64]
  Compare -5 and 54
  No swap needed

Pass 4:
  Compare -90 and -89
  No swap needed
  Compare -89 and -82
  No swap needed
  Compare -82 and -16
  No swap needed
  Compare -16 and -12
  No swap needed
  Compare -12 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -89, -82, -16, -12, -5, 54, 57, 64]
</think>

<response>-90, -89, -82, -16, -12, -5, 54, 57, 64</response>


input: Execute bubble sort to sort -15, -16, 94, -30, 88, -13, 16, 40 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-15, -16, 94, -30, 88, -13, 16, 40]

Pass 1:
  Compare -15 and -16
  Swap -15 and -16
  List after swap: [-16, -15, 94, -30, 88, -13, 16, 40]
  Compare -15 and 94
  No swap needed
  Compare 94 and -30
  Swap 94 and -30
  List after swap: [-16, -15, -30, 94, 88, -13, 16, 40]
  Compare 94 and 88
  Swap 94 and 88
  List after swap: [-16, -15, -30, 88, 94, -13, 16, 40]
  Compare 94 and -13
  Swap 94 and -13
  List after swap: [-16, -15, -30, 88, -13, 94, 16, 40]
  Compare 94 and 16
  Swap 94 and 16
  List after swap: [-16, -15, -30, 88, -13, 16, 94, 40]
  Compare 94 and 40
  Swap 94 and 40
  List after swap: [-16, -15, -30, 88, -13, 16, 40, 94]

Pass 2:
  Compare -16 and -15
  No swap needed
  Compare -15 and -30
  Swap -15 and -30
  List after swap: [-16, -30, -15, 88, -13, 16, 40, 94]
  Compare -15 and 88
  No swap needed
  Compare 88 and -13
  Swap 88 and -13
  List after swap: [-16, -30, -15, -13, 88, 16, 40, 94]
  Compare 88 and 16
  Swap 88 and 16
  List after swap: [-16, -30, -15, -13, 16, 88, 40, 94]
  Compare 88 and 40
  Swap 88 and 40
  List after swap: [-16, -30, -15, -13, 16, 40, 88, 94]

Pass 3:
  Compare -16 and -30
  Swap -16 and -30
  List after swap: [-30, -16, -15, -13, 16, 40, 88, 94]
  Compare -16 and -15
  No swap needed
  Compare -15 and -13
  No swap needed
  Compare -13 and 16
  No swap needed
  Compare 16 and 40
  No swap needed

Pass 4:
  Compare -30 and -16
  No swap needed
  Compare -16 and -15
  No swap needed
  Compare -15 and -13
  No swap needed
  Compare -13 and 16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-30, -16, -15, -13, 16, 40, 88, 94]
</think>

<response>-30, -16, -15, -13, 16, 40, 88, 94</response>


input: Arrange the numbers -59, 28, 85, 21, -32, 4, -86, 57, 43 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-59, 28, 85, 21, -32, 4, -86, 57, 43]

Pass 1:
  Compare -59 and 28
  No swap needed
  Compare 28 and 85
  No swap needed
  Compare 85 and 21
  Swap 85 and 21
  List after swap: [-59, 28, 21, 85, -32, 4, -86, 57, 43]
  Compare 85 and -32
  Swap 85 and -32
  List after swap: [-59, 28, 21, -32, 85, 4, -86, 57, 43]
  Compare 85 and 4
  Swap 85 and 4
  List after swap: [-59, 28, 21, -32, 4, 85, -86, 57, 43]
  Compare 85 and -86
  Swap 85 and -86
  List after swap: [-59, 28, 21, -32, 4, -86, 85, 57, 43]
  Compare 85 and 57
  Swap 85 and 57
  List after swap: [-59, 28, 21, -32, 4, -86, 57, 85, 43]
  Compare 85 and 43
  Swap 85 and 43
  List after swap: [-59, 28, 21, -32, 4, -86, 57, 43, 85]

Pass 2:
  Compare -59 and 28
  No swap needed
  Compare 28 and 21
  Swap 28 and 21
  List after swap: [-59, 21, 28, -32, 4, -86, 57, 43, 85]
  Compare 28 and -32
  Swap 28 and -32
  List after swap: [-59, 21, -32, 28, 4, -86, 57, 43, 85]
  Compare 28 and 4
  Swap 28 and 4
  List after swap: [-59, 21, -32, 4, 28, -86, 57, 43, 85]
  Compare 28 and -86
  Swap 28 and -86
  List after swap: [-59, 21, -32, 4, -86, 28, 57, 43, 85]
  Compare 28 and 57
  No swap needed
  Compare 57 and 43
  Swap 57 and 43
  List after swap: [-59, 21, -32, 4, -86, 28, 43, 57, 85]

Pass 3:
  Compare -59 and 21
  No swap needed
  Compare 21 and -32
  Swap 21 and -32
  List after swap: [-59, -32, 21, 4, -86, 28, 43, 57, 85]
  Compare 21 and 4
  Swap 21 and 4
  List after swap: [-59, -32, 4, 21, -86, 28, 43, 57, 85]
  Compare 21 and -86
  Swap 21 and -86
  List after swap: [-59, -32, 4, -86, 21, 28, 43, 57, 85]
  Compare 21 and 28
  No swap needed
  Compare 28 and 43
  No swap needed

Pass 4:
  Compare -59 and -32
  No swap needed
  Compare -32 and 4
  No swap needed
  Compare 4 and -86
  Swap 4 and -86
  List after swap: [-59, -32, -86, 4, 21, 28, 43, 57, 85]
  Compare 4 and 21
  No swap needed
  Compare 21 and 28
  No swap needed

Pass 5:
  Compare -59 and -32
  No swap needed
  Compare -32 and -86
  Swap -32 and -86
  List after swap: [-59, -86, -32, 4, 21, 28, 43, 57, 85]
  Compare -32 and 4
  No swap needed
  Compare 4 and 21
  No swap needed

Pass 6:
  Compare -59 and -86
  Swap -59 and -86
  List after swap: [-86, -59, -32, 4, 21, 28, 43, 57, 85]
  Compare -59 and -32
  No swap needed
  Compare -32 and 4
  No swap needed

Pass 7:
  Compare -86 and -59
  No swap needed
  Compare -59 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -59, -32, 4, 21, 28, 43, 57, 85]
</think>

<response>-86, -59, -32, 4, 21, 28, 43, 57, 85</response>


input: Execute bubble sort to sort -98, -70, 87, 86, 43, 81, -33, -62, -4, 14 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-98, -70, 87, 86, 43, 81, -33, -62, -4, 14]

Pass 1:
  Compare -98 and -70
  No swap needed
  Compare -70 and 87
  No swap needed
  Compare 87 and 86
  Swap 87 and 86
  List after swap: [-98, -70, 86, 87, 43, 81, -33, -62, -4, 14]
  Compare 87 and 43
  Swap 87 and 43
  List after swap: [-98, -70, 86, 43, 87, 81, -33, -62, -4, 14]
  Compare 87 and 81
  Swap 87 and 81
  List after swap: [-98, -70, 86, 43, 81, 87, -33, -62, -4, 14]
  Compare 87 and -33
  Swap 87 and -33
  List after swap: [-98, -70, 86, 43, 81, -33, 87, -62, -4, 14]
  Compare 87 and -62
  Swap 87 and -62
  List after swap: [-98, -70, 86, 43, 81, -33, -62, 87, -4, 14]
  Compare 87 and -4
  Swap 87 and -4
  List after swap: [-98, -70, 86, 43, 81, -33, -62, -4, 87, 14]
  Compare 87 and 14
  Swap 87 and 14
  List after swap: [-98, -70, 86, 43, 81, -33, -62, -4, 14, 87]

Pass 2:
  Compare -98 and -70
  No swap needed
  Compare -70 and 86
  No swap needed
  Compare 86 and 43
  Swap 86 and 43
  List after swap: [-98, -70, 43, 86, 81, -33, -62, -4, 14, 87]
  Compare 86 and 81
  Swap 86 and 81
  List after swap: [-98, -70, 43, 81, 86, -33, -62, -4, 14, 87]
  Compare 86 and -33
  Swap 86 and -33
  List after swap: [-98, -70, 43, 81, -33, 86, -62, -4, 14, 87]
  Compare 86 and -62
  Swap 86 and -62
  List after swap: [-98, -70, 43, 81, -33, -62, 86, -4, 14, 87]
  Compare 86 and -4
  Swap 86 and -4
  List after swap: [-98, -70, 43, 81, -33, -62, -4, 86, 14, 87]
  Compare 86 and 14
  Swap 86 and 14
  List after swap: [-98, -70, 43, 81, -33, -62, -4, 14, 86, 87]

Pass 3:
  Compare -98 and -70
  No swap needed
  Compare -70 and 43
  No swap needed
  Compare 43 and 81
  No swap needed
  Compare 81 and -33
  Swap 81 and -33
  List after swap: [-98, -70, 43, -33, 81, -62, -4, 14, 86, 87]
  Compare 81 and -62
  Swap 81 and -62
  List after swap: [-98, -70, 43, -33, -62, 81, -4, 14, 86, 87]
  Compare 81 and -4
  Swap 81 and -4
  List after swap: [-98, -70, 43, -33, -62, -4, 81, 14, 86, 87]
  Compare 81 and 14
  Swap 81 and 14
  List after swap: [-98, -70, 43, -33, -62, -4, 14, 81, 86, 87]

Pass 4:
  Compare -98 and -70
  No swap needed
  Compare -70 and 43
  No swap needed
  Compare 43 and -33
  Swap 43 and -33
  List after swap: [-98, -70, -33, 43, -62, -4, 14, 81, 86, 87]
  Compare 43 and -62
  Swap 43 and -62
  List after swap: [-98, -70, -33, -62, 43, -4, 14, 81, 86, 87]
  Compare 43 and -4
  Swap 43 and -4
  List after swap: [-98, -70, -33, -62, -4, 43, 14, 81, 86, 87]
  Compare 43 and 14
  Swap 43 and 14
  List after swap: [-98, -70, -33, -62, -4, 14, 43, 81, 86, 87]

Pass 5:
  Compare -98 and -70
  No swap needed
  Compare -70 and -33
  No swap needed
  Compare -33 and -62
  Swap -33 and -62
  List after swap: [-98, -70, -62, -33, -4, 14, 43, 81, 86, 87]
  Compare -33 and -4
  No swap needed
  Compare -4 and 14
  No swap needed

Pass 6:
  Compare -98 and -70
  No swap needed
  Compare -70 and -62
  No swap needed
  Compare -62 and -33
  No swap needed
  Compare -33 and -4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -70, -62, -33, -4, 14, 43, 81, 86, 87]
</think>

<response>-98, -70, -62, -33, -4, 14, 43, 81, 86, 87</response>


input: Using the bubble sort method, sort -50, 8, -9, -10, -26, 16, 27, 25, 89, -79 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-50, 8, -9, -10, -26, 16, 27, 25, 89, -79]

Pass 1:
  Compare -50 and 8
  No swap needed
  Compare 8 and -9
  Swap 8 and -9
  List after swap: [-50, -9, 8, -10, -26, 16, 27, 25, 89, -79]
  Compare 8 and -10
  Swap 8 and -10
  List after swap: [-50, -9, -10, 8, -26, 16, 27, 25, 89, -79]
  Compare 8 and -26
  Swap 8 and -26
  List after swap: [-50, -9, -10, -26, 8, 16, 27, 25, 89, -79]
  Compare 8 and 16
  No swap needed
  Compare 16 and 27
  No swap needed
  Compare 27 and 25
  Swap 27 and 25
  List after swap: [-50, -9, -10, -26, 8, 16, 25, 27, 89, -79]
  Compare 27 and 89
  No swap needed
  Compare 89 and -79
  Swap 89 and -79
  List after swap: [-50, -9, -10, -26, 8, 16, 25, 27, -79, 89]

Pass 2:
  Compare -50 and -9
  No swap needed
  Compare -9 and -10
  Swap -9 and -10
  List after swap: [-50, -10, -9, -26, 8, 16, 25, 27, -79, 89]
  Compare -9 and -26
  Swap -9 and -26
  List after swap: [-50, -10, -26, -9, 8, 16, 25, 27, -79, 89]
  Compare -9 and 8
  No swap needed
  Compare 8 and 16
  No swap needed
  Compare 16 and 25
  No swap needed
  Compare 25 and 27
  No swap needed
  Compare 27 and -79
  Swap 27 and -79
  List after swap: [-50, -10, -26, -9, 8, 16, 25, -79, 27, 89]

Pass 3:
  Compare -50 and -10
  No swap needed
  Compare -10 and -26
  Swap -10 and -26
  List after swap: [-50, -26, -10, -9, 8, 16, 25, -79, 27, 89]
  Compare -10 and -9
  No swap needed
  Compare -9 and 8
  No swap needed
  Compare 8 and 16
  No swap needed
  Compare 16 and 25
  No swap needed
  Compare 25 and -79
  Swap 25 and -79
  List after swap: [-50, -26, -10, -9, 8, 16, -79, 25, 27, 89]

Pass 4:
  Compare -50 and -26
  No swap needed
  Compare -26 and -10
  No swap needed
  Compare -10 and -9
  No swap needed
  Compare -9 and 8
  No swap needed
  Compare 8 and 16
  No swap needed
  Compare 16 and -79
  Swap 16 and -79
  List after swap: [-50, -26, -10, -9, 8, -79, 16, 25, 27, 89]

Pass 5:
  Compare -50 and -26
  No swap needed
  Compare -26 and -10
  No swap needed
  Compare -10 and -9
  No swap needed
  Compare -9 and 8
  No swap needed
  Compare 8 and -79
  Swap 8 and -79
  List after swap: [-50, -26, -10, -9, -79, 8, 16, 25, 27, 89]

Pass 6:
  Compare -50 and -26
  No swap needed
  Compare -26 and -10
  No swap needed
  Compare -10 and -9
  No swap needed
  Compare -9 and -79
  Swap -9 and -79
  List after swap: [-50, -26, -10, -79, -9, 8, 16, 25, 27, 89]

Pass 7:
  Compare -50 and -26
  No swap needed
  Compare -26 and -10
  No swap needed
  Compare -10 and -79
  Swap -10 and -79
  List after swap: [-50, -26, -79, -10, -9, 8, 16, 25, 27, 89]

Pass 8:
  Compare -50 and -26
  No swap needed
  Compare -26 and -79
  Swap -26 and -79
  List after swap: [-50, -79, -26, -10, -9, 8, 16, 25, 27, 89]

Pass 9:
  Compare -50 and -79
  Swap -50 and -79
  List after swap: [-79, -50, -26, -10, -9, 8, 16, 25, 27, 89]

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

Final sorted list: [-79, -50, -26, -10, -9, 8, 16, 25, 27, 89]
</think>

<response>-79, -50, -26, -10, -9, 8, 16, 25, 27, 89</response>


input: Execute bubble sort to sort 43, 34, -80 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [43, 34, -80]

Pass 1:
  Compare 43 and 34
  Swap 43 and 34
  List after swap: [34, 43, -80]
  Compare 43 and -80
  Swap 43 and -80
  List after swap: [34, -80, 43]

Pass 2:
  Compare 34 and -80
  Swap 34 and -80
  List after swap: [-80, 34, 43]

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

Final sorted list: [-80, 34, 43]
</think>

<response>-80, 34, 43</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 90, -70, 82.

output:
<think>
Initial list: [90, -70, 82]

Pass 1:
  Compare 90 and -70
  Swap 90 and -70
  List after swap: [-70, 90, 82]
  Compare 90 and 82
  Swap 90 and 82
  List after swap: [-70, 82, 90]

Pass 2:
  Compare -70 and 82
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, 82, 90]
</think>

<response>-70, 82, 90</response>


input: Sort the list 46, -21, 92, -72, -52, 85, 7, -31 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [46, -21, 92, -72, -52, 85, 7, -31]

Pass 1:
  Compare 46 and -21
  Swap 46 and -21
  List after swap: [-21, 46, 92, -72, -52, 85, 7, -31]
  Compare 46 and 92
  No swap needed
  Compare 92 and -72
  Swap 92 and -72
  List after swap: [-21, 46, -72, 92, -52, 85, 7, -31]
  Compare 92 and -52
  Swap 92 and -52
  List after swap: [-21, 46, -72, -52, 92, 85, 7, -31]
  Compare 92 and 85
  Swap 92 and 85
  List after swap: [-21, 46, -72, -52, 85, 92, 7, -31]
  Compare 92 and 7
  Swap 92 and 7
  List after swap: [-21, 46, -72, -52, 85, 7, 92, -31]
  Compare 92 and -31
  Swap 92 and -31
  List after swap: [-21, 46, -72, -52, 85, 7, -31, 92]

Pass 2:
  Compare -21 and 46
  No swap needed
  Compare 46 and -72
  Swap 46 and -72
  List after swap: [-21, -72, 46, -52, 85, 7, -31, 92]
  Compare 46 and -52
  Swap 46 and -52
  List after swap: [-21, -72, -52, 46, 85, 7, -31, 92]
  Compare 46 and 85
  No swap needed
  Compare 85 and 7
  Swap 85 and 7
  List after swap: [-21, -72, -52, 46, 7, 85, -31, 92]
  Compare 85 and -31
  Swap 85 and -31
  List after swap: [-21, -72, -52, 46, 7, -31, 85, 92]

Pass 3:
  Compare -21 and -72
  Swap -21 and -72
  List after swap: [-72, -21, -52, 46, 7, -31, 85, 92]
  Compare -21 and -52
  Swap -21 and -52
  List after swap: [-72, -52, -21, 46, 7, -31, 85, 92]
  Compare -21 and 46
  No swap needed
  Compare 46 and 7
  Swap 46 and 7
  List after swap: [-72, -52, -21, 7, 46, -31, 85, 92]
  Compare 46 and -31
  Swap 46 and -31
  List after swap: [-72, -52, -21, 7, -31, 46, 85, 92]

Pass 4:
  Compare -72 and -52
  No swap needed
  Compare -52 and -21
  No swap needed
  Compare -21 and 7
  No swap needed
  Compare 7 and -31
  Swap 7 and -31
  List after swap: [-72, -52, -21, -31, 7, 46, 85, 92]

Pass 5:
  Compare -72 and -52
  No swap needed
  Compare -52 and -21
  No swap needed
  Compare -21 and -31
  Swap -21 and -31
  List after swap: [-72, -52, -31, -21, 7, 46, 85, 92]

Pass 6:
  Compare -72 and -52
  No swap needed
  Compare -52 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -52, -31, -21, 7, 46, 85, 92]
</think>

<response>-72, -52, -31, -21, 7, 46, 85, 92</response>


input: Arrange the numbers 66, 5, 52, -4, 61, -26 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [66, 5, 52, -4, 61, -26]

Pass 1:
  Compare 66 and 5
  Swap 66 and 5
  List after swap: [5, 66, 52, -4, 61, -26]
  Compare 66 and 52
  Swap 66 and 52
  List after swap: [5, 52, 66, -4, 61, -26]
  Compare 66 and -4
  Swap 66 and -4
  List after swap: [5, 52, -4, 66, 61, -26]
  Compare 66 and 61
  Swap 66 and 61
  List after swap: [5, 52, -4, 61, 66, -26]
  Compare 66 and -26
  Swap 66 and -26
  List after swap: [5, 52, -4, 61, -26, 66]

Pass 2:
  Compare 5 and 52
  No swap needed
  Compare 52 and -4
  Swap 52 and -4
  List after swap: [5, -4, 52, 61, -26, 66]
  Compare 52 and 61
  No swap needed
  Compare 61 and -26
  Swap 61 and -26
  List after swap: [5, -4, 52, -26, 61, 66]

Pass 3:
  Compare 5 and -4
  Swap 5 and -4
  List after swap: [-4, 5, 52, -26, 61, 66]
  Compare 5 and 52
  No swap needed
  Compare 52 and -26
  Swap 52 and -26
  List after swap: [-4, 5, -26, 52, 61, 66]

Pass 4:
  Compare -4 and 5
  No swap needed
  Compare 5 and -26
  Swap 5 and -26
  List after swap: [-4, -26, 5, 52, 61, 66]

Pass 5:
  Compare -4 and -26
  Swap -4 and -26
  List after swap: [-26, -4, 5, 52, 61, 66]

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

Final sorted list: [-26, -4, 5, 52, 61, 66]
</think>

<response>-26, -4, 5, 52, 61, 66</response>


input: Carry out the bubble sort algorithm on 61, 31, 76 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [61, 31, 76]

Pass 1:
  Compare 61 and 31
  Swap 61 and 31
  List after swap: [31, 61, 76]
  Compare 61 and 76
  No swap needed

Pass 2:
  Compare 31 and 61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [31, 61, 76]
</think>

<response>31, 61, 76</response>


input: Perform a bubble sort on the integers 89, 52, 59, 62, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [89, 52, 59, 62]

Pass 1:
  Compare 89 and 52
  Swap 89 and 52
  List after swap: [52, 89, 59, 62]
  Compare 89 and 59
  Swap 89 and 59
  List after swap: [52, 59, 89, 62]
  Compare 89 and 62
  Swap 89 and 62
  List after swap: [52, 59, 62, 89]

Pass 2:
  Compare 52 and 59
  No swap needed
  Compare 59 and 62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [52, 59, 62, 89]
</think>

<response>52, 59, 62, 89</response>


input: Using the bubble sort method, sort 87, -82, -18, 58, -29, 39, 35 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [87, -82, -18, 58, -29, 39, 35]

Pass 1:
  Compare 87 and -82
  Swap 87 and -82
  List after swap: [-82, 87, -18, 58, -29, 39, 35]
  Compare 87 and -18
  Swap 87 and -18
  List after swap: [-82, -18, 87, 58, -29, 39, 35]
  Compare 87 and 58
  Swap 87 and 58
  List after swap: [-82, -18, 58, 87, -29, 39, 35]
  Compare 87 and -29
  Swap 87 and -29
  List after swap: [-82, -18, 58, -29, 87, 39, 35]
  Compare 87 and 39
  Swap 87 and 39
  List after swap: [-82, -18, 58, -29, 39, 87, 35]
  Compare 87 and 35
  Swap 87 and 35
  List after swap: [-82, -18, 58, -29, 39, 35, 87]

Pass 2:
  Compare -82 and -18
  No swap needed
  Compare -18 and 58
  No swap needed
  Compare 58 and -29
  Swap 58 and -29
  List after swap: [-82, -18, -29, 58, 39, 35, 87]
  Compare 58 and 39
  Swap 58 and 39
  List after swap: [-82, -18, -29, 39, 58, 35, 87]
  Compare 58 and 35
  Swap 58 and 35
  List after swap: [-82, -18, -29, 39, 35, 58, 87]

Pass 3:
  Compare -82 and -18
  No swap needed
  Compare -18 and -29
  Swap -18 and -29
  List after swap: [-82, -29, -18, 39, 35, 58, 87]
  Compare -18 and 39
  No swap needed
  Compare 39 and 35
  Swap 39 and 35
  List after swap: [-82, -29, -18, 35, 39, 58, 87]

Pass 4:
  Compare -82 and -29
  No swap needed
  Compare -29 and -18
  No swap needed
  Compare -18 and 35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -29, -18, 35, 39, 58, 87]
</think>

<response>-82, -29, -18, 35, 39, 58, 87</response>


input: Perform a bubble sort on the integers -54, 19, 96, -61, -79, 53, 28, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-54, 19, 96, -61, -79, 53, 28]

Pass 1:
  Compare -54 and 19
  No swap needed
  Compare 19 and 96
  No swap needed
  Compare 96 and -61
  Swap 96 and -61
  List after swap: [-54, 19, -61, 96, -79, 53, 28]
  Compare 96 and -79
  Swap 96 and -79
  List after swap: [-54, 19, -61, -79, 96, 53, 28]
  Compare 96 and 53
  Swap 96 and 53
  List after swap: [-54, 19, -61, -79, 53, 96, 28]
  Compare 96 and 28
  Swap 96 and 28
  List after swap: [-54, 19, -61, -79, 53, 28, 96]

Pass 2:
  Compare -54 and 19
  No swap needed
  Compare 19 and -61
  Swap 19 and -61
  List after swap: [-54, -61, 19, -79, 53, 28, 96]
  Compare 19 and -79
  Swap 19 and -79
  List after swap: [-54, -61, -79, 19, 53, 28, 96]
  Compare 19 and 53
  No swap needed
  Compare 53 and 28
  Swap 53 and 28
  List after swap: [-54, -61, -79, 19, 28, 53, 96]

Pass 3:
  Compare -54 and -61
  Swap -54 and -61
  List after swap: [-61, -54, -79, 19, 28, 53, 96]
  Compare -54 and -79
  Swap -54 and -79
  List after swap: [-61, -79, -54, 19, 28, 53, 96]
  Compare -54 and 19
  No swap needed
  Compare 19 and 28
  No swap needed

Pass 4:
  Compare -61 and -79
  Swap -61 and -79
  List after swap: [-79, -61, -54, 19, 28, 53, 96]
  Compare -61 and -54
  No swap needed
  Compare -54 and 19
  No swap needed

Pass 5:
  Compare -79 and -61
  No swap needed
  Compare -61 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -61, -54, 19, 28, 53, 96]
</think>

<response>-79, -61, -54, 19, 28, 53, 96</response>


input: Demonstrate how bubble sort orders the integers 77, -80, 70, 23, -13 in ascending sequence, showing all steps.

output:
<think>
Initial list: [77, -80, 70, 23, -13]

Pass 1:
  Compare 77 and -80
  Swap 77 and -80
  List after swap: [-80, 77, 70, 23, -13]
  Compare 77 and 70
  Swap 77 and 70
  List after swap: [-80, 70, 77, 23, -13]
  Compare 77 and 23
  Swap 77 and 23
  List after swap: [-80, 70, 23, 77, -13]
  Compare 77 and -13
  Swap 77 and -13
  List after swap: [-80, 70, 23, -13, 77]

Pass 2:
  Compare -80 and 70
  No swap needed
  Compare 70 and 23
  Swap 70 and 23
  List after swap: [-80, 23, 70, -13, 77]
  Compare 70 and -13
  Swap 70 and -13
  List after swap: [-80, 23, -13, 70, 77]

Pass 3:
  Compare -80 and 23
  No swap needed
  Compare 23 and -13
  Swap 23 and -13
  List after swap: [-80, -13, 23, 70, 77]

Pass 4:
  Compare -80 and -13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -13, 23, 70, 77]
</think>

<response>-80, -13, 23, 70, 77</response>


input: Using the bubble sort method, sort 16, 14, 72, -66, -39, -32, -46, -73, -52 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [16, 14, 72, -66, -39, -32, -46, -73, -52]

Pass 1:
  Compare 16 and 14
  Swap 16 and 14
  List after swap: [14, 16, 72, -66, -39, -32, -46, -73, -52]
  Compare 16 and 72
  No swap needed
  Compare 72 and -66
  Swap 72 and -66
  List after swap: [14, 16, -66, 72, -39, -32, -46, -73, -52]
  Compare 72 and -39
  Swap 72 and -39
  List after swap: [14, 16, -66, -39, 72, -32, -46, -73, -52]
  Compare 72 and -32
  Swap 72 and -32
  List after swap: [14, 16, -66, -39, -32, 72, -46, -73, -52]
  Compare 72 and -46
  Swap 72 and -46
  List after swap: [14, 16, -66, -39, -32, -46, 72, -73, -52]
  Compare 72 and -73
  Swap 72 and -73
  List after swap: [14, 16, -66, -39, -32, -46, -73, 72, -52]
  Compare 72 and -52
  Swap 72 and -52
  List after swap: [14, 16, -66, -39, -32, -46, -73, -52, 72]

Pass 2:
  Compare 14 and 16
  No swap needed
  Compare 16 and -66
  Swap 16 and -66
  List after swap: [14, -66, 16, -39, -32, -46, -73, -52, 72]
  Compare 16 and -39
  Swap 16 and -39
  List after swap: [14, -66, -39, 16, -32, -46, -73, -52, 72]
  Compare 16 and -32
  Swap 16 and -32
  List after swap: [14, -66, -39, -32, 16, -46, -73, -52, 72]
  Compare 16 and -46
  Swap 16 and -46
  List after swap: [14, -66, -39, -32, -46, 16, -73, -52, 72]
  Compare 16 and -73
  Swap 16 and -73
  List after swap: [14, -66, -39, -32, -46, -73, 16, -52, 72]
  Compare 16 and -52
  Swap 16 and -52
  List after swap: [14, -66, -39, -32, -46, -73, -52, 16, 72]

Pass 3:
  Compare 14 and -66
  Swap 14 and -66
  List after swap: [-66, 14, -39, -32, -46, -73, -52, 16, 72]
  Compare 14 and -39
  Swap 14 and -39
  List after swap: [-66, -39, 14, -32, -46, -73, -52, 16, 72]
  Compare 14 and -32
  Swap 14 and -32
  List after swap: [-66, -39, -32, 14, -46, -73, -52, 16, 72]
  Compare 14 and -46
  Swap 14 and -46
  List after swap: [-66, -39, -32, -46, 14, -73, -52, 16, 72]
  Compare 14 and -73
  Swap 14 and -73
  List after swap: [-66, -39, -32, -46, -73, 14, -52, 16, 72]
  Compare 14 and -52
  Swap 14 and -52
  List after swap: [-66, -39, -32, -46, -73, -52, 14, 16, 72]

Pass 4:
  Compare -66 and -39
  No swap needed
  Compare -39 and -32
  No swap needed
  Compare -32 and -46
  Swap -32 and -46
  List after swap: [-66, -39, -46, -32, -73, -52, 14, 16, 72]
  Compare -32 and -73
  Swap -32 and -73
  List after swap: [-66, -39, -46, -73, -32, -52, 14, 16, 72]
  Compare -32 and -52
  Swap -32 and -52
  List after swap: [-66, -39, -46, -73, -52, -32, 14, 16, 72]

Pass 5:
  Compare -66 and -39
  No swap needed
  Compare -39 and -46
  Swap -39 and -46
  List after swap: [-66, -46, -39, -73, -52, -32, 14, 16, 72]
  Compare -39 and -73
  Swap -39 and -73
  List after swap: [-66, -46, -73, -39, -52, -32, 14, 16, 72]
  Compare -39 and -52
  Swap -39 and -52
  List after swap: [-66, -46, -73, -52, -39, -32, 14, 16, 72]

Pass 6:
  Compare -66 and -46
  No swap needed
  Compare -46 and -73
  Swap -46 and -73
  List after swap: [-66, -73, -46, -52, -39, -32, 14, 16, 72]
  Compare -46 and -52
  Swap -46 and -52
  List after swap: [-66, -73, -52, -46, -39, -32, 14, 16, 72]

Pass 7:
  Compare -66 and -73
  Swap -66 and -73
  List after swap: [-73, -66, -52, -46, -39, -32, 14, 16, 72]
  Compare -66 and -52
  No swap needed

Pass 8:
  Compare -73 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -66, -52, -46, -39, -32, 14, 16, 72]
</think>

<response>-73, -66, -52, -46, -39, -32, 14, 16, 72</response>


input: Perform a bubble sort on the integers -93, -23, 70, -67, -9, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-93, -23, 70, -67, -9]

Pass 1:
  Compare -93 and -23
  No swap needed
  Compare -23 and 70
  No swap needed
  Compare 70 and -67
  Swap 70 and -67
  List after swap: [-93, -23, -67, 70, -9]
  Compare 70 and -9
  Swap 70 and -9
  List after swap: [-93, -23, -67, -9, 70]

Pass 2:
  Compare -93 and -23
  No swap needed
  Compare -23 and -67
  Swap -23 and -67
  List after swap: [-93, -67, -23, -9, 70]
  Compare -23 and -9
  No swap needed

Pass 3:
  Compare -93 and -67
  No swap needed
  Compare -67 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -67, -23, -9, 70]
</think>

<response>-93, -67, -23, -9, 70</response>


input: Execute bubble sort to sort -5, -15, 92, 6, -44, 24, 4, -71 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-5, -15, 92, 6, -44, 24, 4, -71]

Pass 1:
  Compare -5 and -15
  Swap -5 and -15
  List after swap: [-15, -5, 92, 6, -44, 24, 4, -71]
  Compare -5 and 92
  No swap needed
  Compare 92 and 6
  Swap 92 and 6
  List after swap: [-15, -5, 6, 92, -44, 24, 4, -71]
  Compare 92 and -44
  Swap 92 and -44
  List after swap: [-15, -5, 6, -44, 92, 24, 4, -71]
  Compare 92 and 24
  Swap 92 and 24
  List after swap: [-15, -5, 6, -44, 24, 92, 4, -71]
  Compare 92 and 4
  Swap 92 and 4
  List after swap: [-15, -5, 6, -44, 24, 4, 92, -71]
  Compare 92 and -71
  Swap 92 and -71
  List after swap: [-15, -5, 6, -44, 24, 4, -71, 92]

Pass 2:
  Compare -15 and -5
  No swap needed
  Compare -5 and 6
  No swap needed
  Compare 6 and -44
  Swap 6 and -44
  List after swap: [-15, -5, -44, 6, 24, 4, -71, 92]
  Compare 6 and 24
  No swap needed
  Compare 24 and 4
  Swap 24 and 4
  List after swap: [-15, -5, -44, 6, 4, 24, -71, 92]
  Compare 24 and -71
  Swap 24 and -71
  List after swap: [-15, -5, -44, 6, 4, -71, 24, 92]

Pass 3:
  Compare -15 and -5
  No swap needed
  Compare -5 and -44
  Swap -5 and -44
  List after swap: [-15, -44, -5, 6, 4, -71, 24, 92]
  Compare -5 and 6
  No swap needed
  Compare 6 and 4
  Swap 6 and 4
  List after swap: [-15, -44, -5, 4, 6, -71, 24, 92]
  Compare 6 and -71
  Swap 6 and -71
  List after swap: [-15, -44, -5, 4, -71, 6, 24, 92]

Pass 4:
  Compare -15 and -44
  Swap -15 and -44
  List after swap: [-44, -15, -5, 4, -71, 6, 24, 92]
  Compare -15 and -5
  No swap needed
  Compare -5 and 4
  No swap needed
  Compare 4 and -71
  Swap 4 and -71
  List after swap: [-44, -15, -5, -71, 4, 6, 24, 92]

Pass 5:
  Compare -44 and -15
  No swap needed
  Compare -15 and -5
  No swap needed
  Compare -5 and -71
  Swap -5 and -71
  List after swap: [-44, -15, -71, -5, 4, 6, 24, 92]

Pass 6:
  Compare -44 and -15
  No swap needed
  Compare -15 and -71
  Swap -15 and -71
  List after swap: [-44, -71, -15, -5, 4, 6, 24, 92]

Pass 7:
  Compare -44 and -71
  Swap -44 and -71
  List after swap: [-71, -44, -15, -5, 4, 6, 24, 92]

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

Final sorted list: [-71, -44, -15, -5, 4, 6, 24, 92]
</think>

<response>-71, -44, -15, -5, 4, 6, 24, 92</response>


input: Use the bubble sort technique to reorder -85, -57 into ascending order, and write down each step of the procedure.

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

Pass 1:
  Compare -85 and -57
  No swap needed
  No swaps in this pass, list is sorted.

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

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


input: Use bubble sort to organize these integers in increasing order and record each step taken: 47, -12.

output:
<think>
Initial list: [47, -12]

Pass 1:
  Compare 47 and -12
  Swap 47 and -12
  List after swap: [-12, 47]

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

Final sorted list: [-12, 47]
</think>

<response>-12, 47</response>


input: Arrange the numbers 90, -95, 61, 8 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [90, -95, 61, 8]

Pass 1:
  Compare 90 and -95
  Swap 90 and -95
  List after swap: [-95, 90, 61, 8]
  Compare 90 and 61
  Swap 90 and 61
  List after swap: [-95, 61, 90, 8]
  Compare 90 and 8
  Swap 90 and 8
  List after swap: [-95, 61, 8, 90]

Pass 2:
  Compare -95 and 61
  No swap needed
  Compare 61 and 8
  Swap 61 and 8
  List after swap: [-95, 8, 61, 90]

Pass 3:
  Compare -95 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, 8, 61, 90]
</think>

<response>-95, 8, 61, 90</response>


input: Demonstrate how bubble sort orders the integers -14, 13, 19, -55, 35, 45 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-14, 13, 19, -55, 35, 45]

Pass 1:
  Compare -14 and 13
  No swap needed
  Compare 13 and 19
  No swap needed
  Compare 19 and -55
  Swap 19 and -55
  List after swap: [-14, 13, -55, 19, 35, 45]
  Compare 19 and 35
  No swap needed
  Compare 35 and 45
  No swap needed

Pass 2:
  Compare -14 and 13
  No swap needed
  Compare 13 and -55
  Swap 13 and -55
  List after swap: [-14, -55, 13, 19, 35, 45]
  Compare 13 and 19
  No swap needed
  Compare 19 and 35
  No swap needed

Pass 3:
  Compare -14 and -55
  Swap -14 and -55
  List after swap: [-55, -14, 13, 19, 35, 45]
  Compare -14 and 13
  No swap needed
  Compare 13 and 19
  No swap needed

Pass 4:
  Compare -55 and -14
  No swap needed
  Compare -14 and 13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, -14, 13, 19, 35, 45]
</think>

<response>-55, -14, 13, 19, 35, 45</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -18, 31, -7, -58, 96, -2, 3, 26.

output:
<think>
Initial list: [-18, 31, -7, -58, 96, -2, 3, 26]

Pass 1:
  Compare -18 and 31
  No swap needed
  Compare 31 and -7
  Swap 31 and -7
  List after swap: [-18, -7, 31, -58, 96, -2, 3, 26]
  Compare 31 and -58
  Swap 31 and -58
  List after swap: [-18, -7, -58, 31, 96, -2, 3, 26]
  Compare 31 and 96
  No swap needed
  Compare 96 and -2
  Swap 96 and -2
  List after swap: [-18, -7, -58, 31, -2, 96, 3, 26]
  Compare 96 and 3
  Swap 96 and 3
  List after swap: [-18, -7, -58, 31, -2, 3, 96, 26]
  Compare 96 and 26
  Swap 96 and 26
  List after swap: [-18, -7, -58, 31, -2, 3, 26, 96]

Pass 2:
  Compare -18 and -7
  No swap needed
  Compare -7 and -58
  Swap -7 and -58
  List after swap: [-18, -58, -7, 31, -2, 3, 26, 96]
  Compare -7 and 31
  No swap needed
  Compare 31 and -2
  Swap 31 and -2
  List after swap: [-18, -58, -7, -2, 31, 3, 26, 96]
  Compare 31 and 3
  Swap 31 and 3
  List after swap: [-18, -58, -7, -2, 3, 31, 26, 96]
  Compare 31 and 26
  Swap 31 and 26
  List after swap: [-18, -58, -7, -2, 3, 26, 31, 96]

Pass 3:
  Compare -18 and -58
  Swap -18 and -58
  List after swap: [-58, -18, -7, -2, 3, 26, 31, 96]
  Compare -18 and -7
  No swap needed
  Compare -7 and -2
  No swap needed
  Compare -2 and 3
  No swap needed
  Compare 3 and 26
  No swap needed

Pass 4:
  Compare -58 and -18
  No swap needed
  Compare -18 and -7
  No swap needed
  Compare -7 and -2
  No swap needed
  Compare -2 and 3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -18, -7, -2, 3, 26, 31, 96]
</think>

<response>-58, -18, -7, -2, 3, 26, 31, 96</response>


input: Perform a bubble sort on the integers 96, -94, -60, -81, 57, 25, -49, -43, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [96, -94, -60, -81, 57, 25, -49, -43]

Pass 1:
  Compare 96 and -94
  Swap 96 and -94
  List after swap: [-94, 96, -60, -81, 57, 25, -49, -43]
  Compare 96 and -60
  Swap 96 and -60
  List after swap: [-94, -60, 96, -81, 57, 25, -49, -43]
  Compare 96 and -81
  Swap 96 and -81
  List after swap: [-94, -60, -81, 96, 57, 25, -49, -43]
  Compare 96 and 57
  Swap 96 and 57
  List after swap: [-94, -60, -81, 57, 96, 25, -49, -43]
  Compare 96 and 25
  Swap 96 and 25
  List after swap: [-94, -60, -81, 57, 25, 96, -49, -43]
  Compare 96 and -49
  Swap 96 and -49
  List after swap: [-94, -60, -81, 57, 25, -49, 96, -43]
  Compare 96 and -43
  Swap 96 and -43
  List after swap: [-94, -60, -81, 57, 25, -49, -43, 96]

Pass 2:
  Compare -94 and -60
  No swap needed
  Compare -60 and -81
  Swap -60 and -81
  List after swap: [-94, -81, -60, 57, 25, -49, -43, 96]
  Compare -60 and 57
  No swap needed
  Compare 57 and 25
  Swap 57 and 25
  List after swap: [-94, -81, -60, 25, 57, -49, -43, 96]
  Compare 57 and -49
  Swap 57 and -49
  List after swap: [-94, -81, -60, 25, -49, 57, -43, 96]
  Compare 57 and -43
  Swap 57 and -43
  List after swap: [-94, -81, -60, 25, -49, -43, 57, 96]

Pass 3:
  Compare -94 and -81
  No swap needed
  Compare -81 and -60
  No swap needed
  Compare -60 and 25
  No swap needed
  Compare 25 and -49
  Swap 25 and -49
  List after swap: [-94, -81, -60, -49, 25, -43, 57, 96]
  Compare 25 and -43
  Swap 25 and -43
  List after swap: [-94, -81, -60, -49, -43, 25, 57, 96]

Pass 4:
  Compare -94 and -81
  No swap needed
  Compare -81 and -60
  No swap needed
  Compare -60 and -49
  No swap needed
  Compare -49 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -81, -60, -49, -43, 25, 57, 96]
</think>

<response>-94, -81, -60, -49, -43, 25, 57, 96</response>


input: Sort these integers 65, 24, -33, -48, 89 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [65, 24, -33, -48, 89]

Pass 1:
  Compare 65 and 24
  Swap 65 and 24
  List after swap: [24, 65, -33, -48, 89]
  Compare 65 and -33
  Swap 65 and -33
  List after swap: [24, -33, 65, -48, 89]
  Compare 65 and -48
  Swap 65 and -48
  List after swap: [24, -33, -48, 65, 89]
  Compare 65 and 89
  No swap needed

Pass 2:
  Compare 24 and -33
  Swap 24 and -33
  List after swap: [-33, 24, -48, 65, 89]
  Compare 24 and -48
  Swap 24 and -48
  List after swap: [-33, -48, 24, 65, 89]
  Compare 24 and 65
  No swap needed

Pass 3:
  Compare -33 and -48
  Swap -33 and -48
  List after swap: [-48, -33, 24, 65, 89]
  Compare -33 and 24
  No swap needed

Pass 4:
  Compare -48 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-48, -33, 24, 65, 89]
</think>

<response>-48, -33, 24, 65, 89</response>


input: Arrange the numbers 43, 84, -95, -51, 11, -19, -24 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [43, 84, -95, -51, 11, -19, -24]

Pass 1:
  Compare 43 and 84
  No swap needed
  Compare 84 and -95
  Swap 84 and -95
  List after swap: [43, -95, 84, -51, 11, -19, -24]
  Compare 84 and -51
  Swap 84 and -51
  List after swap: [43, -95, -51, 84, 11, -19, -24]
  Compare 84 and 11
  Swap 84 and 11
  List after swap: [43, -95, -51, 11, 84, -19, -24]
  Compare 84 and -19
  Swap 84 and -19
  List after swap: [43, -95, -51, 11, -19, 84, -24]
  Compare 84 and -24
  Swap 84 and -24
  List after swap: [43, -95, -51, 11, -19, -24, 84]

Pass 2:
  Compare 43 and -95
  Swap 43 and -95
  List after swap: [-95, 43, -51, 11, -19, -24, 84]
  Compare 43 and -51
  Swap 43 and -51
  List after swap: [-95, -51, 43, 11, -19, -24, 84]
  Compare 43 and 11
  Swap 43 and 11
  List after swap: [-95, -51, 11, 43, -19, -24, 84]
  Compare 43 and -19
  Swap 43 and -19
  List after swap: [-95, -51, 11, -19, 43, -24, 84]
  Compare 43 and -24
  Swap 43 and -24
  List after swap: [-95, -51, 11, -19, -24, 43, 84]

Pass 3:
  Compare -95 and -51
  No swap needed
  Compare -51 and 11
  No swap needed
  Compare 11 and -19
  Swap 11 and -19
  List after swap: [-95, -51, -19, 11, -24, 43, 84]
  Compare 11 and -24
  Swap 11 and -24
  List after swap: [-95, -51, -19, -24, 11, 43, 84]

Pass 4:
  Compare -95 and -51
  No swap needed
  Compare -51 and -19
  No swap needed
  Compare -19 and -24
  Swap -19 and -24
  List after swap: [-95, -51, -24, -19, 11, 43, 84]

Pass 5:
  Compare -95 and -51
  No swap needed
  Compare -51 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -51, -24, -19, 11, 43, 84]
</think>

<response>-95, -51, -24, -19, 11, 43, 84</response>


input: Carry out the bubble sort algorithm on -100, 95, -28 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-100, 95, -28]

Pass 1:
  Compare -100 and 95
  No swap needed
  Compare 95 and -28
  Swap 95 and -28
  List after swap: [-100, -28, 95]

Pass 2:
  Compare -100 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -28, 95]
</think>

<response>-100, -28, 95</response>


input: Carry out the bubble sort algorithm on -93, -69, -98, -4 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-93, -69, -98, -4]

Pass 1:
  Compare -93 and -69
  No swap needed
  Compare -69 and -98
  Swap -69 and -98
  List after swap: [-93, -98, -69, -4]
  Compare -69 and -4
  No swap needed

Pass 2:
  Compare -93 and -98
  Swap -93 and -98
  List after swap: [-98, -93, -69, -4]
  Compare -93 and -69
  No swap needed

Pass 3:
  Compare -98 and -93
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -93, -69, -4]
</think>

<response>-98, -93, -69, -4</response>


input: Implement bubble sort on 7, -52, 90, -28, -26, -88, -97, -48, 53, -83 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [7, -52, 90, -28, -26, -88, -97, -48, 53, -83]

Pass 1:
  Compare 7 and -52
  Swap 7 and -52
  List after swap: [-52, 7, 90, -28, -26, -88, -97, -48, 53, -83]
  Compare 7 and 90
  No swap needed
  Compare 90 and -28
  Swap 90 and -28
  List after swap: [-52, 7, -28, 90, -26, -88, -97, -48, 53, -83]
  Compare 90 and -26
  Swap 90 and -26
  List after swap: [-52, 7, -28, -26, 90, -88, -97, -48, 53, -83]
  Compare 90 and -88
  Swap 90 and -88
  List after swap: [-52, 7, -28, -26, -88, 90, -97, -48, 53, -83]
  Compare 90 and -97
  Swap 90 and -97
  List after swap: [-52, 7, -28, -26, -88, -97, 90, -48, 53, -83]
  Compare 90 and -48
  Swap 90 and -48
  List after swap: [-52, 7, -28, -26, -88, -97, -48, 90, 53, -83]
  Compare 90 and 53
  Swap 90 and 53
  List after swap: [-52, 7, -28, -26, -88, -97, -48, 53, 90, -83]
  Compare 90 and -83
  Swap 90 and -83
  List after swap: [-52, 7, -28, -26, -88, -97, -48, 53, -83, 90]

Pass 2:
  Compare -52 and 7
  No swap needed
  Compare 7 and -28
  Swap 7 and -28
  List after swap: [-52, -28, 7, -26, -88, -97, -48, 53, -83, 90]
  Compare 7 and -26
  Swap 7 and -26
  List after swap: [-52, -28, -26, 7, -88, -97, -48, 53, -83, 90]
  Compare 7 and -88
  Swap 7 and -88
  List after swap: [-52, -28, -26, -88, 7, -97, -48, 53, -83, 90]
  Compare 7 and -97
  Swap 7 and -97
  List after swap: [-52, -28, -26, -88, -97, 7, -48, 53, -83, 90]
  Compare 7 and -48
  Swap 7 and -48
  List after swap: [-52, -28, -26, -88, -97, -48, 7, 53, -83, 90]
  Compare 7 and 53
  No swap needed
  Compare 53 and -83
  Swap 53 and -83
  List after swap: [-52, -28, -26, -88, -97, -48, 7, -83, 53, 90]

Pass 3:
  Compare -52 and -28
  No swap needed
  Compare -28 and -26
  No swap needed
  Compare -26 and -88
  Swap -26 and -88
  List after swap: [-52, -28, -88, -26, -97, -48, 7, -83, 53, 90]
  Compare -26 and -97
  Swap -26 and -97
  List after swap: [-52, -28, -88, -97, -26, -48, 7, -83, 53, 90]
  Compare -26 and -48
  Swap -26 and -48
  List after swap: [-52, -28, -88, -97, -48, -26, 7, -83, 53, 90]
  Compare -26 and 7
  No swap needed
  Compare 7 and -83
  Swap 7 and -83
  List after swap: [-52, -28, -88, -97, -48, -26, -83, 7, 53, 90]

Pass 4:
  Compare -52 and -28
  No swap needed
  Compare -28 and -88
  Swap -28 and -88
  List after swap: [-52, -88, -28, -97, -48, -26, -83, 7, 53, 90]
  Compare -28 and -97
  Swap -28 and -97
  List after swap: [-52, -88, -97, -28, -48, -26, -83, 7, 53, 90]
  Compare -28 and -48
  Swap -28 and -48
  List after swap: [-52, -88, -97, -48, -28, -26, -83, 7, 53, 90]
  Compare -28 and -26
  No swap needed
  Compare -26 and -83
  Swap -26 and -83
  List after swap: [-52, -88, -97, -48, -28, -83, -26, 7, 53, 90]

Pass 5:
  Compare -52 and -88
  Swap -52 and -88
  List after swap: [-88, -52, -97, -48, -28, -83, -26, 7, 53, 90]
  Compare -52 and -97
  Swap -52 and -97
  List after swap: [-88, -97, -52, -48, -28, -83, -26, 7, 53, 90]
  Compare -52 and -48
  No swap needed
  Compare -48 and -28
  No swap needed
  Compare -28 and -83
  Swap -28 and -83
  List after swap: [-88, -97, -52, -48, -83, -28, -26, 7, 53, 90]

Pass 6:
  Compare -88 and -97
  Swap -88 and -97
  List after swap: [-97, -88, -52, -48, -83, -28, -26, 7, 53, 90]
  Compare -88 and -52
  No swap needed
  Compare -52 and -48
  No swap needed
  Compare -48 and -83
  Swap -48 and -83
  List after swap: [-97, -88, -52, -83, -48, -28, -26, 7, 53, 90]

Pass 7:
  Compare -97 and -88
  No swap needed
  Compare -88 and -52
  No swap needed
  Compare -52 and -83
  Swap -52 and -83
  List after swap: [-97, -88, -83, -52, -48, -28, -26, 7, 53, 90]

Pass 8:
  Compare -97 and -88
  No swap needed
  Compare -88 and -83
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -88, -83, -52, -48, -28, -26, 7, 53, 90]
</think>

<response>-97, -88, -83, -52, -48, -28, -26, 7, 53, 90</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 3, -99, -2, 4, 64, -82, -18, 74, -96.

output:
<think>
Initial list: [3, -99, -2, 4, 64, -82, -18, 74, -96]

Pass 1:
  Compare 3 and -99
  Swap 3 and -99
  List after swap: [-99, 3, -2, 4, 64, -82, -18, 74, -96]
  Compare 3 and -2
  Swap 3 and -2
  List after swap: [-99, -2, 3, 4, 64, -82, -18, 74, -96]
  Compare 3 and 4
  No swap needed
  Compare 4 and 64
  No swap needed
  Compare 64 and -82
  Swap 64 and -82
  List after swap: [-99, -2, 3, 4, -82, 64, -18, 74, -96]
  Compare 64 and -18
  Swap 64 and -18
  List after swap: [-99, -2, 3, 4, -82, -18, 64, 74, -96]
  Compare 64 and 74
  No swap needed
  Compare 74 and -96
  Swap 74 and -96
  List after swap: [-99, -2, 3, 4, -82, -18, 64, -96, 74]

Pass 2:
  Compare -99 and -2
  No swap needed
  Compare -2 and 3
  No swap needed
  Compare 3 and 4
  No swap needed
  Compare 4 and -82
  Swap 4 and -82
  List after swap: [-99, -2, 3, -82, 4, -18, 64, -96, 74]
  Compare 4 and -18
  Swap 4 and -18
  List after swap: [-99, -2, 3, -82, -18, 4, 64, -96, 74]
  Compare 4 and 64
  No swap needed
  Compare 64 and -96
  Swap 64 and -96
  List after swap: [-99, -2, 3, -82, -18, 4, -96, 64, 74]

Pass 3:
  Compare -99 and -2
  No swap needed
  Compare -2 and 3
  No swap needed
  Compare 3 and -82
  Swap 3 and -82
  List after swap: [-99, -2, -82, 3, -18, 4, -96, 64, 74]
  Compare 3 and -18
  Swap 3 and -18
  List after swap: [-99, -2, -82, -18, 3, 4, -96, 64, 74]
  Compare 3 and 4
  No swap needed
  Compare 4 and -96
  Swap 4 and -96
  List after swap: [-99, -2, -82, -18, 3, -96, 4, 64, 74]

Pass 4:
  Compare -99 and -2
  No swap needed
  Compare -2 and -82
  Swap -2 and -82
  List after swap: [-99, -82, -2, -18, 3, -96, 4, 64, 74]
  Compare -2 and -18
  Swap -2 and -18
  List after swap: [-99, -82, -18, -2, 3, -96, 4, 64, 74]
  Compare -2 and 3
  No swap needed
  Compare 3 and -96
  Swap 3 and -96
  List after swap: [-99, -82, -18, -2, -96, 3, 4, 64, 74]

Pass 5:
  Compare -99 and -82
  No swap needed
  Compare -82 and -18
  No swap needed
  Compare -18 and -2
  No swap needed
  Compare -2 and -96
  Swap -2 and -96
  List after swap: [-99, -82, -18, -96, -2, 3, 4, 64, 74]

Pass 6:
  Compare -99 and -82
  No swap needed
  Compare -82 and -18
  No swap needed
  Compare -18 and -96
  Swap -18 and -96
  List after swap: [-99, -82, -96, -18, -2, 3, 4, 64, 74]

Pass 7:
  Compare -99 and -82
  No swap needed
  Compare -82 and -96
  Swap -82 and -96
  List after swap: [-99, -96, -82, -18, -2, 3, 4, 64, 74]

Pass 8:
  Compare -99 and -96
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -96, -82, -18, -2, 3, 4, 64, 74]
</think>

<response>-99, -96, -82, -18, -2, 3, 4, 64, 74</response>


input: Arrange the numbers 24, 38, 84, 17, 4, 55, -57, 39, -58 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [24, 38, 84, 17, 4, 55, -57, 39, -58]

Pass 1:
  Compare 24 and 38
  No swap needed
  Compare 38 and 84
  No swap needed
  Compare 84 and 17
  Swap 84 and 17
  List after swap: [24, 38, 17, 84, 4, 55, -57, 39, -58]
  Compare 84 and 4
  Swap 84 and 4
  List after swap: [24, 38, 17, 4, 84, 55, -57, 39, -58]
  Compare 84 and 55
  Swap 84 and 55
  List after swap: [24, 38, 17, 4, 55, 84, -57, 39, -58]
  Compare 84 and -57
  Swap 84 and -57
  List after swap: [24, 38, 17, 4, 55, -57, 84, 39, -58]
  Compare 84 and 39
  Swap 84 and 39
  List after swap: [24, 38, 17, 4, 55, -57, 39, 84, -58]
  Compare 84 and -58
  Swap 84 and -58
  List after swap: [24, 38, 17, 4, 55, -57, 39, -58, 84]

Pass 2:
  Compare 24 and 38
  No swap needed
  Compare 38 and 17
  Swap 38 and 17
  List after swap: [24, 17, 38, 4, 55, -57, 39, -58, 84]
  Compare 38 and 4
  Swap 38 and 4
  List after swap: [24, 17, 4, 38, 55, -57, 39, -58, 84]
  Compare 38 and 55
  No swap needed
  Compare 55 and -57
  Swap 55 and -57
  List after swap: [24, 17, 4, 38, -57, 55, 39, -58, 84]
  Compare 55 and 39
  Swap 55 and 39
  List after swap: [24, 17, 4, 38, -57, 39, 55, -58, 84]
  Compare 55 and -58
  Swap 55 and -58
  List after swap: [24, 17, 4, 38, -57, 39, -58, 55, 84]

Pass 3:
  Compare 24 and 17
  Swap 24 and 17
  List after swap: [17, 24, 4, 38, -57, 39, -58, 55, 84]
  Compare 24 and 4
  Swap 24 and 4
  List after swap: [17, 4, 24, 38, -57, 39, -58, 55, 84]
  Compare 24 and 38
  No swap needed
  Compare 38 and -57
  Swap 38 and -57
  List after swap: [17, 4, 24, -57, 38, 39, -58, 55, 84]
  Compare 38 and 39
  No swap needed
  Compare 39 and -58
  Swap 39 and -58
  List after swap: [17, 4, 24, -57, 38, -58, 39, 55, 84]

Pass 4:
  Compare 17 and 4
  Swap 17 and 4
  List after swap: [4, 17, 24, -57, 38, -58, 39, 55, 84]
  Compare 17 and 24
  No swap needed
  Compare 24 and -57
  Swap 24 and -57
  List after swap: [4, 17, -57, 24, 38, -58, 39, 55, 84]
  Compare 24 and 38
  No swap needed
  Compare 38 and -58
  Swap 38 and -58
  List after swap: [4, 17, -57, 24, -58, 38, 39, 55, 84]

Pass 5:
  Compare 4 and 17
  No swap needed
  Compare 17 and -57
  Swap 17 and -57
  List after swap: [4, -57, 17, 24, -58, 38, 39, 55, 84]
  Compare 17 and 24
  No swap needed
  Compare 24 and -58
  Swap 24 and -58
  List after swap: [4, -57, 17, -58, 24, 38, 39, 55, 84]

Pass 6:
  Compare 4 and -57
  Swap 4 and -57
  List after swap: [-57, 4, 17, -58, 24, 38, 39, 55, 84]
  Compare 4 and 17
  No swap needed
  Compare 17 and -58
  Swap 17 and -58
  List after swap: [-57, 4, -58, 17, 24, 38, 39, 55, 84]

Pass 7:
  Compare -57 and 4
  No swap needed
  Compare 4 and -58
  Swap 4 and -58
  List after swap: [-57, -58, 4, 17, 24, 38, 39, 55, 84]

Pass 8:
  Compare -57 and -58
  Swap -57 and -58
  List after swap: [-58, -57, 4, 17, 24, 38, 39, 55, 84]

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

Final sorted list: [-58, -57, 4, 17, 24, 38, 39, 55, 84]
</think>

<response>-58, -57, 4, 17, 24, 38, 39, 55, 84</response>


input: Using the bubble sort method, sort -36, -99, -17, 50, -49, 24, 34, -64 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-36, -99, -17, 50, -49, 24, 34, -64]

Pass 1:
  Compare -36 and -99
  Swap -36 and -99
  List after swap: [-99, -36, -17, 50, -49, 24, 34, -64]
  Compare -36 and -17
  No swap needed
  Compare -17 and 50
  No swap needed
  Compare 50 and -49
  Swap 50 and -49
  List after swap: [-99, -36, -17, -49, 50, 24, 34, -64]
  Compare 50 and 24
  Swap 50 and 24
  List after swap: [-99, -36, -17, -49, 24, 50, 34, -64]
  Compare 50 and 34
  Swap 50 and 34
  List after swap: [-99, -36, -17, -49, 24, 34, 50, -64]
  Compare 50 and -64
  Swap 50 and -64
  List after swap: [-99, -36, -17, -49, 24, 34, -64, 50]

Pass 2:
  Compare -99 and -36
  No swap needed
  Compare -36 and -17
  No swap needed
  Compare -17 and -49
  Swap -17 and -49
  List after swap: [-99, -36, -49, -17, 24, 34, -64, 50]
  Compare -17 and 24
  No swap needed
  Compare 24 and 34
  No swap needed
  Compare 34 and -64
  Swap 34 and -64
  List after swap: [-99, -36, -49, -17, 24, -64, 34, 50]

Pass 3:
  Compare -99 and -36
  No swap needed
  Compare -36 and -49
  Swap -36 and -49
  List after swap: [-99, -49, -36, -17, 24, -64, 34, 50]
  Compare -36 and -17
  No swap needed
  Compare -17 and 24
  No swap needed
  Compare 24 and -64
  Swap 24 and -64
  List after swap: [-99, -49, -36, -17, -64, 24, 34, 50]

Pass 4:
  Compare -99 and -49
  No swap needed
  Compare -49 and -36
  No swap needed
  Compare -36 and -17
  No swap needed
  Compare -17 and -64
  Swap -17 and -64
  List after swap: [-99, -49, -36, -64, -17, 24, 34, 50]

Pass 5:
  Compare -99 and -49
  No swap needed
  Compare -49 and -36
  No swap needed
  Compare -36 and -64
  Swap -36 and -64
  List after swap: [-99, -49, -64, -36, -17, 24, 34, 50]

Pass 6:
  Compare -99 and -49
  No swap needed
  Compare -49 and -64
  Swap -49 and -64
  List after swap: [-99, -64, -49, -36, -17, 24, 34, 50]

Pass 7:
  Compare -99 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -64, -49, -36, -17, 24, 34, 50]
</think>

<response>-99, -64, -49, -36, -17, 24, 34, 50</response>


input: Use the bubble sort technique to reorder -6, -77, -46, 0, 68, -27, 41, 58, -80, -95 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-6, -77, -46, 0, 68, -27, 41, 58, -80, -95]

Pass 1:
  Compare -6 and -77
  Swap -6 and -77
  List after swap: [-77, -6, -46, 0, 68, -27, 41, 58, -80, -95]
  Compare -6 and -46
  Swap -6 and -46
  List after swap: [-77, -46, -6, 0, 68, -27, 41, 58, -80, -95]
  Compare -6 and 0
  No swap needed
  Compare 0 and 68
  No swap needed
  Compare 68 and -27
  Swap 68 and -27
  List after swap: [-77, -46, -6, 0, -27, 68, 41, 58, -80, -95]
  Compare 68 and 41
  Swap 68 and 41
  List after swap: [-77, -46, -6, 0, -27, 41, 68, 58, -80, -95]
  Compare 68 and 58
  Swap 68 and 58
  List after swap: [-77, -46, -6, 0, -27, 41, 58, 68, -80, -95]
  Compare 68 and -80
  Swap 68 and -80
  List after swap: [-77, -46, -6, 0, -27, 41, 58, -80, 68, -95]
  Compare 68 and -95
  Swap 68 and -95
  List after swap: [-77, -46, -6, 0, -27, 41, 58, -80, -95, 68]

Pass 2:
  Compare -77 and -46
  No swap needed
  Compare -46 and -6
  No swap needed
  Compare -6 and 0
  No swap needed
  Compare 0 and -27
  Swap 0 and -27
  List after swap: [-77, -46, -6, -27, 0, 41, 58, -80, -95, 68]
  Compare 0 and 41
  No swap needed
  Compare 41 and 58
  No swap needed
  Compare 58 and -80
  Swap 58 and -80
  List after swap: [-77, -46, -6, -27, 0, 41, -80, 58, -95, 68]
  Compare 58 and -95
  Swap 58 and -95
  List after swap: [-77, -46, -6, -27, 0, 41, -80, -95, 58, 68]

Pass 3:
  Compare -77 and -46
  No swap needed
  Compare -46 and -6
  No swap needed
  Compare -6 and -27
  Swap -6 and -27
  List after swap: [-77, -46, -27, -6, 0, 41, -80, -95, 58, 68]
  Compare -6 and 0
  No swap needed
  Compare 0 and 41
  No swap needed
  Compare 41 and -80
  Swap 41 and -80
  List after swap: [-77, -46, -27, -6, 0, -80, 41, -95, 58, 68]
  Compare 41 and -95
  Swap 41 and -95
  List after swap: [-77, -46, -27, -6, 0, -80, -95, 41, 58, 68]

Pass 4:
  Compare -77 and -46
  No swap needed
  Compare -46 and -27
  No swap needed
  Compare -27 and -6
  No swap needed
  Compare -6 and 0
  No swap needed
  Compare 0 and -80
  Swap 0 and -80
  List after swap: [-77, -46, -27, -6, -80, 0, -95, 41, 58, 68]
  Compare 0 and -95
  Swap 0 and -95
  List after swap: [-77, -46, -27, -6, -80, -95, 0, 41, 58, 68]

Pass 5:
  Compare -77 and -46
  No swap needed
  Compare -46 and -27
  No swap needed
  Compare -27 and -6
  No swap needed
  Compare -6 and -80
  Swap -6 and -80
  List after swap: [-77, -46, -27, -80, -6, -95, 0, 41, 58, 68]
  Compare -6 and -95
  Swap -6 and -95
  List after swap: [-77, -46, -27, -80, -95, -6, 0, 41, 58, 68]

Pass 6:
  Compare -77 and -46
  No swap needed
  Compare -46 and -27
  No swap needed
  Compare -27 and -80
  Swap -27 and -80
  List after swap: [-77, -46, -80, -27, -95, -6, 0, 41, 58, 68]
  Compare -27 and -95
  Swap -27 and -95
  List after swap: [-77, -46, -80, -95, -27, -6, 0, 41, 58, 68]

Pass 7:
  Compare -77 and -46
  No swap needed
  Compare -46 and -80
  Swap -46 and -80
  List after swap: [-77, -80, -46, -95, -27, -6, 0, 41, 58, 68]
  Compare -46 and -95
  Swap -46 and -95
  List after swap: [-77, -80, -95, -46, -27, -6, 0, 41, 58, 68]

Pass 8:
  Compare -77 and -80
  Swap -77 and -80
  List after swap: [-80, -77, -95, -46, -27, -6, 0, 41, 58, 68]
  Compare -77 and -95
  Swap -77 and -95
  List after swap: [-80, -95, -77, -46, -27, -6, 0, 41, 58, 68]

Pass 9:
  Compare -80 and -95
  Swap -80 and -95
  List after swap: [-95, -80, -77, -46, -27, -6, 0, 41, 58, 68]

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

Final sorted list: [-95, -80, -77, -46, -27, -6, 0, 41, 58, 68]
</think>

<response>-95, -80, -77, -46, -27, -6, 0, 41, 58, 68</response>


input: Demonstrate how bubble sort orders the integers -37, -6, 80, -17, 96, -8, -61, 30 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-37, -6, 80, -17, 96, -8, -61, 30]

Pass 1:
  Compare -37 and -6
  No swap needed
  Compare -6 and 80
  No swap needed
  Compare 80 and -17
  Swap 80 and -17
  List after swap: [-37, -6, -17, 80, 96, -8, -61, 30]
  Compare 80 and 96
  No swap needed
  Compare 96 and -8
  Swap 96 and -8
  List after swap: [-37, -6, -17, 80, -8, 96, -61, 30]
  Compare 96 and -61
  Swap 96 and -61
  List after swap: [-37, -6, -17, 80, -8, -61, 96, 30]
  Compare 96 and 30
  Swap 96 and 30
  List after swap: [-37, -6, -17, 80, -8, -61, 30, 96]

Pass 2:
  Compare -37 and -6
  No swap needed
  Compare -6 and -17
  Swap -6 and -17
  List after swap: [-37, -17, -6, 80, -8, -61, 30, 96]
  Compare -6 and 80
  No swap needed
  Compare 80 and -8
  Swap 80 and -8
  List after swap: [-37, -17, -6, -8, 80, -61, 30, 96]
  Compare 80 and -61
  Swap 80 and -61
  List after swap: [-37, -17, -6, -8, -61, 80, 30, 96]
  Compare 80 and 30
  Swap 80 and 30
  List after swap: [-37, -17, -6, -8, -61, 30, 80, 96]

Pass 3:
  Compare -37 and -17
  No swap needed
  Compare -17 and -6
  No swap needed
  Compare -6 and -8
  Swap -6 and -8
  List after swap: [-37, -17, -8, -6, -61, 30, 80, 96]
  Compare -6 and -61
  Swap -6 and -61
  List after swap: [-37, -17, -8, -61, -6, 30, 80, 96]
  Compare -6 and 30
  No swap needed

Pass 4:
  Compare -37 and -17
  No swap needed
  Compare -17 and -8
  No swap needed
  Compare -8 and -61
  Swap -8 and -61
  List after swap: [-37, -17, -61, -8, -6, 30, 80, 96]
  Compare -8 and -6
  No swap needed

Pass 5:
  Compare -37 and -17
  No swap needed
  Compare -17 and -61
  Swap -17 and -61
  List after swap: [-37, -61, -17, -8, -6, 30, 80, 96]
  Compare -17 and -8
  No swap needed

Pass 6:
  Compare -37 and -61
  Swap -37 and -61
  List after swap: [-61, -37, -17, -8, -6, 30, 80, 96]
  Compare -37 and -17
  No swap needed

Pass 7:
  Compare -61 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -37, -17, -8, -6, 30, 80, 96]
</think>

<response>-61, -37, -17, -8, -6, 30, 80, 96</response>


input: Demonstrate how bubble sort orders the integers -86, 28, -24 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-86, 28, -24]

Pass 1:
  Compare -86 and 28
  No swap needed
  Compare 28 and -24
  Swap 28 and -24
  List after swap: [-86, -24, 28]

Pass 2:
  Compare -86 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -24, 28]
</think>

<response>-86, -24, 28</response>


input: Using the bubble sort method, sort -73, 36, 87, -69, -32 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-73, 36, 87, -69, -32]

Pass 1:
  Compare -73 and 36
  No swap needed
  Compare 36 and 87
  No swap needed
  Compare 87 and -69
  Swap 87 and -69
  List after swap: [-73, 36, -69, 87, -32]
  Compare 87 and -32
  Swap 87 and -32
  List after swap: [-73, 36, -69, -32, 87]

Pass 2:
  Compare -73 and 36
  No swap needed
  Compare 36 and -69
  Swap 36 and -69
  List after swap: [-73, -69, 36, -32, 87]
  Compare 36 and -32
  Swap 36 and -32
  List after swap: [-73, -69, -32, 36, 87]

Pass 3:
  Compare -73 and -69
  No swap needed
  Compare -69 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -69, -32, 36, 87]
</think>

<response>-73, -69, -32, 36, 87</response>


input: Sort the list -21, -16, 60, -60, 17, -43, -63, 23, -59 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-21, -16, 60, -60, 17, -43, -63, 23, -59]

Pass 1:
  Compare -21 and -16
  No swap needed
  Compare -16 and 60
  No swap needed
  Compare 60 and -60
  Swap 60 and -60
  List after swap: [-21, -16, -60, 60, 17, -43, -63, 23, -59]
  Compare 60 and 17
  Swap 60 and 17
  List after swap: [-21, -16, -60, 17, 60, -43, -63, 23, -59]
  Compare 60 and -43
  Swap 60 and -43
  List after swap: [-21, -16, -60, 17, -43, 60, -63, 23, -59]
  Compare 60 and -63
  Swap 60 and -63
  List after swap: [-21, -16, -60, 17, -43, -63, 60, 23, -59]
  Compare 60 and 23
  Swap 60 and 23
  List after swap: [-21, -16, -60, 17, -43, -63, 23, 60, -59]
  Compare 60 and -59
  Swap 60 and -59
  List after swap: [-21, -16, -60, 17, -43, -63, 23, -59, 60]

Pass 2:
  Compare -21 and -16
  No swap needed
  Compare -16 and -60
  Swap -16 and -60
  List after swap: [-21, -60, -16, 17, -43, -63, 23, -59, 60]
  Compare -16 and 17
  No swap needed
  Compare 17 and -43
  Swap 17 and -43
  List after swap: [-21, -60, -16, -43, 17, -63, 23, -59, 60]
  Compare 17 and -63
  Swap 17 and -63
  List after swap: [-21, -60, -16, -43, -63, 17, 23, -59, 60]
  Compare 17 and 23
  No swap needed
  Compare 23 and -59
  Swap 23 and -59
  List after swap: [-21, -60, -16, -43, -63, 17, -59, 23, 60]

Pass 3:
  Compare -21 and -60
  Swap -21 and -60
  List after swap: [-60, -21, -16, -43, -63, 17, -59, 23, 60]
  Compare -21 and -16
  No swap needed
  Compare -16 and -43
  Swap -16 and -43
  List after swap: [-60, -21, -43, -16, -63, 17, -59, 23, 60]
  Compare -16 and -63
  Swap -16 and -63
  List after swap: [-60, -21, -43, -63, -16, 17, -59, 23, 60]
  Compare -16 and 17
  No swap needed
  Compare 17 and -59
  Swap 17 and -59
  List after swap: [-60, -21, -43, -63, -16, -59, 17, 23, 60]

Pass 4:
  Compare -60 and -21
  No swap needed
  Compare -21 and -43
  Swap -21 and -43
  List after swap: [-60, -43, -21, -63, -16, -59, 17, 23, 60]
  Compare -21 and -63
  Swap -21 and -63
  List after swap: [-60, -43, -63, -21, -16, -59, 17, 23, 60]
  Compare -21 and -16
  No swap needed
  Compare -16 and -59
  Swap -16 and -59
  List after swap: [-60, -43, -63, -21, -59, -16, 17, 23, 60]

Pass 5:
  Compare -60 and -43
  No swap needed
  Compare -43 and -63
  Swap -43 and -63
  List after swap: [-60, -63, -43, -21, -59, -16, 17, 23, 60]
  Compare -43 and -21
  No swap needed
  Compare -21 and -59
  Swap -21 and -59
  List after swap: [-60, -63, -43, -59, -21, -16, 17, 23, 60]

Pass 6:
  Compare -60 and -63
  Swap -60 and -63
  List after swap: [-63, -60, -43, -59, -21, -16, 17, 23, 60]
  Compare -60 and -43
  No swap needed
  Compare -43 and -59
  Swap -43 and -59
  List after swap: [-63, -60, -59, -43, -21, -16, 17, 23, 60]

Pass 7:
  Compare -63 and -60
  No swap needed
  Compare -60 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -60, -59, -43, -21, -16, 17, 23, 60]
</think>

<response>-63, -60, -59, -43, -21, -16, 17, 23, 60</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -32, -55.

output:
<think>
Initial list: [-32, -55]

Pass 1:
  Compare -32 and -55
  Swap -32 and -55
  List after swap: [-55, -32]

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

Final sorted list: [-55, -32]
</think>

<response>-55, -32</response>


input: Implement bubble sort on -1, -30, -27, -77, 48, 55, -5 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-1, -30, -27, -77, 48, 55, -5]

Pass 1:
  Compare -1 and -30
  Swap -1 and -30
  List after swap: [-30, -1, -27, -77, 48, 55, -5]
  Compare -1 and -27
  Swap -1 and -27
  List after swap: [-30, -27, -1, -77, 48, 55, -5]
  Compare -1 and -77
  Swap -1 and -77
  List after swap: [-30, -27, -77, -1, 48, 55, -5]
  Compare -1 and 48
  No swap needed
  Compare 48 and 55
  No swap needed
  Compare 55 and -5
  Swap 55 and -5
  List after swap: [-30, -27, -77, -1, 48, -5, 55]

Pass 2:
  Compare -30 and -27
  No swap needed
  Compare -27 and -77
  Swap -27 and -77
  List after swap: [-30, -77, -27, -1, 48, -5, 55]
  Compare -27 and -1
  No swap needed
  Compare -1 and 48
  No swap needed
  Compare 48 and -5
  Swap 48 and -5
  List after swap: [-30, -77, -27, -1, -5, 48, 55]

Pass 3:
  Compare -30 and -77
  Swap -30 and -77
  List after swap: [-77, -30, -27, -1, -5, 48, 55]
  Compare -30 and -27
  No swap needed
  Compare -27 and -1
  No swap needed
  Compare -1 and -5
  Swap -1 and -5
  List after swap: [-77, -30, -27, -5, -1, 48, 55]

Pass 4:
  Compare -77 and -30
  No swap needed
  Compare -30 and -27
  No swap needed
  Compare -27 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -30, -27, -5, -1, 48, 55]
</think>

<response>-77, -30, -27, -5, -1, 48, 55</response>


input: Using the bubble sort method, sort -54, -12, -85, -91 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-54, -12, -85, -91]

Pass 1:
  Compare -54 and -12
  No swap needed
  Compare -12 and -85
  Swap -12 and -85
  List after swap: [-54, -85, -12, -91]
  Compare -12 and -91
  Swap -12 and -91
  List after swap: [-54, -85, -91, -12]

Pass 2:
  Compare -54 and -85
  Swap -54 and -85
  List after swap: [-85, -54, -91, -12]
  Compare -54 and -91
  Swap -54 and -91
  List after swap: [-85, -91, -54, -12]

Pass 3:
  Compare -85 and -91
  Swap -85 and -91
  List after swap: [-91, -85, -54, -12]

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

Final sorted list: [-91, -85, -54, -12]
</think>

<response>-91, -85, -54, -12</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -52, 69, -41, -89, 29, 24.

output:
<think>
Initial list: [-52, 69, -41, -89, 29, 24]

Pass 1:
  Compare -52 and 69
  No swap needed
  Compare 69 and -41
  Swap 69 and -41
  List after swap: [-52, -41, 69, -89, 29, 24]
  Compare 69 and -89
  Swap 69 and -89
  List after swap: [-52, -41, -89, 69, 29, 24]
  Compare 69 and 29
  Swap 69 and 29
  List after swap: [-52, -41, -89, 29, 69, 24]
  Compare 69 and 24
  Swap 69 and 24
  List after swap: [-52, -41, -89, 29, 24, 69]

Pass 2:
  Compare -52 and -41
  No swap needed
  Compare -41 and -89
  Swap -41 and -89
  List after swap: [-52, -89, -41, 29, 24, 69]
  Compare -41 and 29
  No swap needed
  Compare 29 and 24
  Swap 29 and 24
  List after swap: [-52, -89, -41, 24, 29, 69]

Pass 3:
  Compare -52 and -89
  Swap -52 and -89
  List after swap: [-89, -52, -41, 24, 29, 69]
  Compare -52 and -41
  No swap needed
  Compare -41 and 24
  No swap needed

Pass 4:
  Compare -89 and -52
  No swap needed
  Compare -52 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -52, -41, 24, 29, 69]
</think>

<response>-89, -52, -41, 24, 29, 69</response>