input: Sort the list -24, 92, -34, 68, 20, -85 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-24, 92, -34, 68, 20, -85]

Pass 1:
  Compare -24 and 92
  No swap needed
  Compare 92 and -34
  Swap 92 and -34
  List after swap: [-24, -34, 92, 68, 20, -85]
  Compare 92 and 68
  Swap 92 and 68
  List after swap: [-24, -34, 68, 92, 20, -85]
  Compare 92 and 20
  Swap 92 and 20
  List after swap: [-24, -34, 68, 20, 92, -85]
  Compare 92 and -85
  Swap 92 and -85
  List after swap: [-24, -34, 68, 20, -85, 92]

Pass 2:
  Compare -24 and -34
  Swap -24 and -34
  List after swap: [-34, -24, 68, 20, -85, 92]
  Compare -24 and 68
  No swap needed
  Compare 68 and 20
  Swap 68 and 20
  List after swap: [-34, -24, 20, 68, -85, 92]
  Compare 68 and -85
  Swap 68 and -85
  List after swap: [-34, -24, 20, -85, 68, 92]

Pass 3:
  Compare -34 and -24
  No swap needed
  Compare -24 and 20
  No swap needed
  Compare 20 and -85
  Swap 20 and -85
  List after swap: [-34, -24, -85, 20, 68, 92]

Pass 4:
  Compare -34 and -24
  No swap needed
  Compare -24 and -85
  Swap -24 and -85
  List after swap: [-34, -85, -24, 20, 68, 92]

Pass 5:
  Compare -34 and -85
  Swap -34 and -85
  List after swap: [-85, -34, -24, 20, 68, 92]

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

Final sorted list: [-85, -34, -24, 20, 68, 92]
</think>

<response>-85, -34, -24, 20, 68, 92</response>


input: Sort the list -51, -47, 87, 56, 81, -83, -50, 99 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-51, -47, 87, 56, 81, -83, -50, 99]

Pass 1:
  Compare -51 and -47
  No swap needed
  Compare -47 and 87
  No swap needed
  Compare 87 and 56
  Swap 87 and 56
  List after swap: [-51, -47, 56, 87, 81, -83, -50, 99]
  Compare 87 and 81
  Swap 87 and 81
  List after swap: [-51, -47, 56, 81, 87, -83, -50, 99]
  Compare 87 and -83
  Swap 87 and -83
  List after swap: [-51, -47, 56, 81, -83, 87, -50, 99]
  Compare 87 and -50
  Swap 87 and -50
  List after swap: [-51, -47, 56, 81, -83, -50, 87, 99]
  Compare 87 and 99
  No swap needed

Pass 2:
  Compare -51 and -47
  No swap needed
  Compare -47 and 56
  No swap needed
  Compare 56 and 81
  No swap needed
  Compare 81 and -83
  Swap 81 and -83
  List after swap: [-51, -47, 56, -83, 81, -50, 87, 99]
  Compare 81 and -50
  Swap 81 and -50
  List after swap: [-51, -47, 56, -83, -50, 81, 87, 99]
  Compare 81 and 87
  No swap needed

Pass 3:
  Compare -51 and -47
  No swap needed
  Compare -47 and 56
  No swap needed
  Compare 56 and -83
  Swap 56 and -83
  List after swap: [-51, -47, -83, 56, -50, 81, 87, 99]
  Compare 56 and -50
  Swap 56 and -50
  List after swap: [-51, -47, -83, -50, 56, 81, 87, 99]
  Compare 56 and 81
  No swap needed

Pass 4:
  Compare -51 and -47
  No swap needed
  Compare -47 and -83
  Swap -47 and -83
  List after swap: [-51, -83, -47, -50, 56, 81, 87, 99]
  Compare -47 and -50
  Swap -47 and -50
  List after swap: [-51, -83, -50, -47, 56, 81, 87, 99]
  Compare -47 and 56
  No swap needed

Pass 5:
  Compare -51 and -83
  Swap -51 and -83
  List after swap: [-83, -51, -50, -47, 56, 81, 87, 99]
  Compare -51 and -50
  No swap needed
  Compare -50 and -47
  No swap needed

Pass 6:
  Compare -83 and -51
  No swap needed
  Compare -51 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -51, -50, -47, 56, 81, 87, 99]
</think>

<response>-83, -51, -50, -47, 56, 81, 87, 99</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -13, 95, 25, 4.

output:
<think>
Initial list: [-13, 95, 25, 4]

Pass 1:
  Compare -13 and 95
  No swap needed
  Compare 95 and 25
  Swap 95 and 25
  List after swap: [-13, 25, 95, 4]
  Compare 95 and 4
  Swap 95 and 4
  List after swap: [-13, 25, 4, 95]

Pass 2:
  Compare -13 and 25
  No swap needed
  Compare 25 and 4
  Swap 25 and 4
  List after swap: [-13, 4, 25, 95]

Pass 3:
  Compare -13 and 4
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-13, 4, 25, 95]
</think>

<response>-13, 4, 25, 95</response>


input: Arrange the numbers 76, -79, 89, -45 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [76, -79, 89, -45]

Pass 1:
  Compare 76 and -79
  Swap 76 and -79
  List after swap: [-79, 76, 89, -45]
  Compare 76 and 89
  No swap needed
  Compare 89 and -45
  Swap 89 and -45
  List after swap: [-79, 76, -45, 89]

Pass 2:
  Compare -79 and 76
  No swap needed
  Compare 76 and -45
  Swap 76 and -45
  List after swap: [-79, -45, 76, 89]

Pass 3:
  Compare -79 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -45, 76, 89]
</think>

<response>-79, -45, 76, 89</response>


input: Implement bubble sort on 68, 4, -89, 85, -36, -97, 43, -83 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [68, 4, -89, 85, -36, -97, 43, -83]

Pass 1:
  Compare 68 and 4
  Swap 68 and 4
  List after swap: [4, 68, -89, 85, -36, -97, 43, -83]
  Compare 68 and -89
  Swap 68 and -89
  List after swap: [4, -89, 68, 85, -36, -97, 43, -83]
  Compare 68 and 85
  No swap needed
  Compare 85 and -36
  Swap 85 and -36
  List after swap: [4, -89, 68, -36, 85, -97, 43, -83]
  Compare 85 and -97
  Swap 85 and -97
  List after swap: [4, -89, 68, -36, -97, 85, 43, -83]
  Compare 85 and 43
  Swap 85 and 43
  List after swap: [4, -89, 68, -36, -97, 43, 85, -83]
  Compare 85 and -83
  Swap 85 and -83
  List after swap: [4, -89, 68, -36, -97, 43, -83, 85]

Pass 2:
  Compare 4 and -89
  Swap 4 and -89
  List after swap: [-89, 4, 68, -36, -97, 43, -83, 85]
  Compare 4 and 68
  No swap needed
  Compare 68 and -36
  Swap 68 and -36
  List after swap: [-89, 4, -36, 68, -97, 43, -83, 85]
  Compare 68 and -97
  Swap 68 and -97
  List after swap: [-89, 4, -36, -97, 68, 43, -83, 85]
  Compare 68 and 43
  Swap 68 and 43
  List after swap: [-89, 4, -36, -97, 43, 68, -83, 85]
  Compare 68 and -83
  Swap 68 and -83
  List after swap: [-89, 4, -36, -97, 43, -83, 68, 85]

Pass 3:
  Compare -89 and 4
  No swap needed
  Compare 4 and -36
  Swap 4 and -36
  List after swap: [-89, -36, 4, -97, 43, -83, 68, 85]
  Compare 4 and -97
  Swap 4 and -97
  List after swap: [-89, -36, -97, 4, 43, -83, 68, 85]
  Compare 4 and 43
  No swap needed
  Compare 43 and -83
  Swap 43 and -83
  List after swap: [-89, -36, -97, 4, -83, 43, 68, 85]

Pass 4:
  Compare -89 and -36
  No swap needed
  Compare -36 and -97
  Swap -36 and -97
  List after swap: [-89, -97, -36, 4, -83, 43, 68, 85]
  Compare -36 and 4
  No swap needed
  Compare 4 and -83
  Swap 4 and -83
  List after swap: [-89, -97, -36, -83, 4, 43, 68, 85]

Pass 5:
  Compare -89 and -97
  Swap -89 and -97
  List after swap: [-97, -89, -36, -83, 4, 43, 68, 85]
  Compare -89 and -36
  No swap needed
  Compare -36 and -83
  Swap -36 and -83
  List after swap: [-97, -89, -83, -36, 4, 43, 68, 85]

Pass 6:
  Compare -97 and -89
  No swap needed
  Compare -89 and -83
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -89, -83, -36, 4, 43, 68, 85]
</think>

<response>-97, -89, -83, -36, 4, 43, 68, 85</response>


input: Carry out the bubble sort algorithm on -50, -42, 97, 8, 44 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-50, -42, 97, 8, 44]

Pass 1:
  Compare -50 and -42
  No swap needed
  Compare -42 and 97
  No swap needed
  Compare 97 and 8
  Swap 97 and 8
  List after swap: [-50, -42, 8, 97, 44]
  Compare 97 and 44
  Swap 97 and 44
  List after swap: [-50, -42, 8, 44, 97]

Pass 2:
  Compare -50 and -42
  No swap needed
  Compare -42 and 8
  No swap needed
  Compare 8 and 44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, -42, 8, 44, 97]
</think>

<response>-50, -42, 8, 44, 97</response>


input: Perform a bubble sort on the integers 58, -51, -17, -61, -42, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [58, -51, -17, -61, -42]

Pass 1:
  Compare 58 and -51
  Swap 58 and -51
  List after swap: [-51, 58, -17, -61, -42]
  Compare 58 and -17
  Swap 58 and -17
  List after swap: [-51, -17, 58, -61, -42]
  Compare 58 and -61
  Swap 58 and -61
  List after swap: [-51, -17, -61, 58, -42]
  Compare 58 and -42
  Swap 58 and -42
  List after swap: [-51, -17, -61, -42, 58]

Pass 2:
  Compare -51 and -17
  No swap needed
  Compare -17 and -61
  Swap -17 and -61
  List after swap: [-51, -61, -17, -42, 58]
  Compare -17 and -42
  Swap -17 and -42
  List after swap: [-51, -61, -42, -17, 58]

Pass 3:
  Compare -51 and -61
  Swap -51 and -61
  List after swap: [-61, -51, -42, -17, 58]
  Compare -51 and -42
  No swap needed

Pass 4:
  Compare -61 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -51, -42, -17, 58]
</think>

<response>-61, -51, -42, -17, 58</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 40, 76.

output:
<think>
Initial list: [40, 76]

Pass 1:
  Compare 40 and 76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [40, 76]
</think>

<response>40, 76</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -88, 70, 35, -35, 68, 60, -26, 32, -19.

output:
<think>
Initial list: [-88, 70, 35, -35, 68, 60, -26, 32, -19]

Pass 1:
  Compare -88 and 70
  No swap needed
  Compare 70 and 35
  Swap 70 and 35
  List after swap: [-88, 35, 70, -35, 68, 60, -26, 32, -19]
  Compare 70 and -35
  Swap 70 and -35
  List after swap: [-88, 35, -35, 70, 68, 60, -26, 32, -19]
  Compare 70 and 68
  Swap 70 and 68
  List after swap: [-88, 35, -35, 68, 70, 60, -26, 32, -19]
  Compare 70 and 60
  Swap 70 and 60
  List after swap: [-88, 35, -35, 68, 60, 70, -26, 32, -19]
  Compare 70 and -26
  Swap 70 and -26
  List after swap: [-88, 35, -35, 68, 60, -26, 70, 32, -19]
  Compare 70 and 32
  Swap 70 and 32
  List after swap: [-88, 35, -35, 68, 60, -26, 32, 70, -19]
  Compare 70 and -19
  Swap 70 and -19
  List after swap: [-88, 35, -35, 68, 60, -26, 32, -19, 70]

Pass 2:
  Compare -88 and 35
  No swap needed
  Compare 35 and -35
  Swap 35 and -35
  List after swap: [-88, -35, 35, 68, 60, -26, 32, -19, 70]
  Compare 35 and 68
  No swap needed
  Compare 68 and 60
  Swap 68 and 60
  List after swap: [-88, -35, 35, 60, 68, -26, 32, -19, 70]
  Compare 68 and -26
  Swap 68 and -26
  List after swap: [-88, -35, 35, 60, -26, 68, 32, -19, 70]
  Compare 68 and 32
  Swap 68 and 32
  List after swap: [-88, -35, 35, 60, -26, 32, 68, -19, 70]
  Compare 68 and -19
  Swap 68 and -19
  List after swap: [-88, -35, 35, 60, -26, 32, -19, 68, 70]

Pass 3:
  Compare -88 and -35
  No swap needed
  Compare -35 and 35
  No swap needed
  Compare 35 and 60
  No swap needed
  Compare 60 and -26
  Swap 60 and -26
  List after swap: [-88, -35, 35, -26, 60, 32, -19, 68, 70]
  Compare 60 and 32
  Swap 60 and 32
  List after swap: [-88, -35, 35, -26, 32, 60, -19, 68, 70]
  Compare 60 and -19
  Swap 60 and -19
  List after swap: [-88, -35, 35, -26, 32, -19, 60, 68, 70]

Pass 4:
  Compare -88 and -35
  No swap needed
  Compare -35 and 35
  No swap needed
  Compare 35 and -26
  Swap 35 and -26
  List after swap: [-88, -35, -26, 35, 32, -19, 60, 68, 70]
  Compare 35 and 32
  Swap 35 and 32
  List after swap: [-88, -35, -26, 32, 35, -19, 60, 68, 70]
  Compare 35 and -19
  Swap 35 and -19
  List after swap: [-88, -35, -26, 32, -19, 35, 60, 68, 70]

Pass 5:
  Compare -88 and -35
  No swap needed
  Compare -35 and -26
  No swap needed
  Compare -26 and 32
  No swap needed
  Compare 32 and -19
  Swap 32 and -19
  List after swap: [-88, -35, -26, -19, 32, 35, 60, 68, 70]

Pass 6:
  Compare -88 and -35
  No swap needed
  Compare -35 and -26
  No swap needed
  Compare -26 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -35, -26, -19, 32, 35, 60, 68, 70]
</think>

<response>-88, -35, -26, -19, 32, 35, 60, 68, 70</response>


input: Sort the list -69, 45, -55, -20, 25, -43, -81, -89 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-69, 45, -55, -20, 25, -43, -81, -89]

Pass 1:
  Compare -69 and 45
  No swap needed
  Compare 45 and -55
  Swap 45 and -55
  List after swap: [-69, -55, 45, -20, 25, -43, -81, -89]
  Compare 45 and -20
  Swap 45 and -20
  List after swap: [-69, -55, -20, 45, 25, -43, -81, -89]
  Compare 45 and 25
  Swap 45 and 25
  List after swap: [-69, -55, -20, 25, 45, -43, -81, -89]
  Compare 45 and -43
  Swap 45 and -43
  List after swap: [-69, -55, -20, 25, -43, 45, -81, -89]
  Compare 45 and -81
  Swap 45 and -81
  List after swap: [-69, -55, -20, 25, -43, -81, 45, -89]
  Compare 45 and -89
  Swap 45 and -89
  List after swap: [-69, -55, -20, 25, -43, -81, -89, 45]

Pass 2:
  Compare -69 and -55
  No swap needed
  Compare -55 and -20
  No swap needed
  Compare -20 and 25
  No swap needed
  Compare 25 and -43
  Swap 25 and -43
  List after swap: [-69, -55, -20, -43, 25, -81, -89, 45]
  Compare 25 and -81
  Swap 25 and -81
  List after swap: [-69, -55, -20, -43, -81, 25, -89, 45]
  Compare 25 and -89
  Swap 25 and -89
  List after swap: [-69, -55, -20, -43, -81, -89, 25, 45]

Pass 3:
  Compare -69 and -55
  No swap needed
  Compare -55 and -20
  No swap needed
  Compare -20 and -43
  Swap -20 and -43
  List after swap: [-69, -55, -43, -20, -81, -89, 25, 45]
  Compare -20 and -81
  Swap -20 and -81
  List after swap: [-69, -55, -43, -81, -20, -89, 25, 45]
  Compare -20 and -89
  Swap -20 and -89
  List after swap: [-69, -55, -43, -81, -89, -20, 25, 45]

Pass 4:
  Compare -69 and -55
  No swap needed
  Compare -55 and -43
  No swap needed
  Compare -43 and -81
  Swap -43 and -81
  List after swap: [-69, -55, -81, -43, -89, -20, 25, 45]
  Compare -43 and -89
  Swap -43 and -89
  List after swap: [-69, -55, -81, -89, -43, -20, 25, 45]

Pass 5:
  Compare -69 and -55
  No swap needed
  Compare -55 and -81
  Swap -55 and -81
  List after swap: [-69, -81, -55, -89, -43, -20, 25, 45]
  Compare -55 and -89
  Swap -55 and -89
  List after swap: [-69, -81, -89, -55, -43, -20, 25, 45]

Pass 6:
  Compare -69 and -81
  Swap -69 and -81
  List after swap: [-81, -69, -89, -55, -43, -20, 25, 45]
  Compare -69 and -89
  Swap -69 and -89
  List after swap: [-81, -89, -69, -55, -43, -20, 25, 45]

Pass 7:
  Compare -81 and -89
  Swap -81 and -89
  List after swap: [-89, -81, -69, -55, -43, -20, 25, 45]

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

Final sorted list: [-89, -81, -69, -55, -43, -20, 25, 45]
</think>

<response>-89, -81, -69, -55, -43, -20, 25, 45</response>


input: Sort the list 19, 53, 84, 45, -44, 15, -28, -78, -71 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [19, 53, 84, 45, -44, 15, -28, -78, -71]

Pass 1:
  Compare 19 and 53
  No swap needed
  Compare 53 and 84
  No swap needed
  Compare 84 and 45
  Swap 84 and 45
  List after swap: [19, 53, 45, 84, -44, 15, -28, -78, -71]
  Compare 84 and -44
  Swap 84 and -44
  List after swap: [19, 53, 45, -44, 84, 15, -28, -78, -71]
  Compare 84 and 15
  Swap 84 and 15
  List after swap: [19, 53, 45, -44, 15, 84, -28, -78, -71]
  Compare 84 and -28
  Swap 84 and -28
  List after swap: [19, 53, 45, -44, 15, -28, 84, -78, -71]
  Compare 84 and -78
  Swap 84 and -78
  List after swap: [19, 53, 45, -44, 15, -28, -78, 84, -71]
  Compare 84 and -71
  Swap 84 and -71
  List after swap: [19, 53, 45, -44, 15, -28, -78, -71, 84]

Pass 2:
  Compare 19 and 53
  No swap needed
  Compare 53 and 45
  Swap 53 and 45
  List after swap: [19, 45, 53, -44, 15, -28, -78, -71, 84]
  Compare 53 and -44
  Swap 53 and -44
  List after swap: [19, 45, -44, 53, 15, -28, -78, -71, 84]
  Compare 53 and 15
  Swap 53 and 15
  List after swap: [19, 45, -44, 15, 53, -28, -78, -71, 84]
  Compare 53 and -28
  Swap 53 and -28
  List after swap: [19, 45, -44, 15, -28, 53, -78, -71, 84]
  Compare 53 and -78
  Swap 53 and -78
  List after swap: [19, 45, -44, 15, -28, -78, 53, -71, 84]
  Compare 53 and -71
  Swap 53 and -71
  List after swap: [19, 45, -44, 15, -28, -78, -71, 53, 84]

Pass 3:
  Compare 19 and 45
  No swap needed
  Compare 45 and -44
  Swap 45 and -44
  List after swap: [19, -44, 45, 15, -28, -78, -71, 53, 84]
  Compare 45 and 15
  Swap 45 and 15
  List after swap: [19, -44, 15, 45, -28, -78, -71, 53, 84]
  Compare 45 and -28
  Swap 45 and -28
  List after swap: [19, -44, 15, -28, 45, -78, -71, 53, 84]
  Compare 45 and -78
  Swap 45 and -78
  List after swap: [19, -44, 15, -28, -78, 45, -71, 53, 84]
  Compare 45 and -71
  Swap 45 and -71
  List after swap: [19, -44, 15, -28, -78, -71, 45, 53, 84]

Pass 4:
  Compare 19 and -44
  Swap 19 and -44
  List after swap: [-44, 19, 15, -28, -78, -71, 45, 53, 84]
  Compare 19 and 15
  Swap 19 and 15
  List after swap: [-44, 15, 19, -28, -78, -71, 45, 53, 84]
  Compare 19 and -28
  Swap 19 and -28
  List after swap: [-44, 15, -28, 19, -78, -71, 45, 53, 84]
  Compare 19 and -78
  Swap 19 and -78
  List after swap: [-44, 15, -28, -78, 19, -71, 45, 53, 84]
  Compare 19 and -71
  Swap 19 and -71
  List after swap: [-44, 15, -28, -78, -71, 19, 45, 53, 84]

Pass 5:
  Compare -44 and 15
  No swap needed
  Compare 15 and -28
  Swap 15 and -28
  List after swap: [-44, -28, 15, -78, -71, 19, 45, 53, 84]
  Compare 15 and -78
  Swap 15 and -78
  List after swap: [-44, -28, -78, 15, -71, 19, 45, 53, 84]
  Compare 15 and -71
  Swap 15 and -71
  List after swap: [-44, -28, -78, -71, 15, 19, 45, 53, 84]

Pass 6:
  Compare -44 and -28
  No swap needed
  Compare -28 and -78
  Swap -28 and -78
  List after swap: [-44, -78, -28, -71, 15, 19, 45, 53, 84]
  Compare -28 and -71
  Swap -28 and -71
  List after swap: [-44, -78, -71, -28, 15, 19, 45, 53, 84]

Pass 7:
  Compare -44 and -78
  Swap -44 and -78
  List after swap: [-78, -44, -71, -28, 15, 19, 45, 53, 84]
  Compare -44 and -71
  Swap -44 and -71
  List after swap: [-78, -71, -44, -28, 15, 19, 45, 53, 84]

Pass 8:
  Compare -78 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -71, -44, -28, 15, 19, 45, 53, 84]
</think>

<response>-78, -71, -44, -28, 15, 19, 45, 53, 84</response>


input: Perform a bubble sort on the integers 30, 43, 48, 41, 52, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [30, 43, 48, 41, 52]

Pass 1:
  Compare 30 and 43
  No swap needed
  Compare 43 and 48
  No swap needed
  Compare 48 and 41
  Swap 48 and 41
  List after swap: [30, 43, 41, 48, 52]
  Compare 48 and 52
  No swap needed

Pass 2:
  Compare 30 and 43
  No swap needed
  Compare 43 and 41
  Swap 43 and 41
  List after swap: [30, 41, 43, 48, 52]
  Compare 43 and 48
  No swap needed

Pass 3:
  Compare 30 and 41
  No swap needed
  Compare 41 and 43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [30, 41, 43, 48, 52]
</think>

<response>30, 41, 43, 48, 52</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 45, -40, 11, -5, 54.

output:
<think>
Initial list: [45, -40, 11, -5, 54]

Pass 1:
  Compare 45 and -40
  Swap 45 and -40
  List after swap: [-40, 45, 11, -5, 54]
  Compare 45 and 11
  Swap 45 and 11
  List after swap: [-40, 11, 45, -5, 54]
  Compare 45 and -5
  Swap 45 and -5
  List after swap: [-40, 11, -5, 45, 54]
  Compare 45 and 54
  No swap needed

Pass 2:
  Compare -40 and 11
  No swap needed
  Compare 11 and -5
  Swap 11 and -5
  List after swap: [-40, -5, 11, 45, 54]
  Compare 11 and 45
  No swap needed

Pass 3:
  Compare -40 and -5
  No swap needed
  Compare -5 and 11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-40, -5, 11, 45, 54]
</think>

<response>-40, -5, 11, 45, 54</response>


input: Demonstrate how bubble sort orders the integers -71, 91, 29, 74 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-71, 91, 29, 74]

Pass 1:
  Compare -71 and 91
  No swap needed
  Compare 91 and 29
  Swap 91 and 29
  List after swap: [-71, 29, 91, 74]
  Compare 91 and 74
  Swap 91 and 74
  List after swap: [-71, 29, 74, 91]

Pass 2:
  Compare -71 and 29
  No swap needed
  Compare 29 and 74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, 29, 74, 91]
</think>

<response>-71, 29, 74, 91</response>


input: Use the bubble sort technique to reorder -27, 76, 37 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-27, 76, 37]

Pass 1:
  Compare -27 and 76
  No swap needed
  Compare 76 and 37
  Swap 76 and 37
  List after swap: [-27, 37, 76]

Pass 2:
  Compare -27 and 37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-27, 37, 76]
</think>

<response>-27, 37, 76</response>


input: Use the bubble sort technique to reorder 89, -17 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [89, -17]

Pass 1:
  Compare 89 and -17
  Swap 89 and -17
  List after swap: [-17, 89]

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

Final sorted list: [-17, 89]
</think>

<response>-17, 89</response>


input: Execute bubble sort to sort 72, 71, 42, -62, 92, -58, 56, -56, -5, -11 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [72, 71, 42, -62, 92, -58, 56, -56, -5, -11]

Pass 1:
  Compare 72 and 71
  Swap 72 and 71
  List after swap: [71, 72, 42, -62, 92, -58, 56, -56, -5, -11]
  Compare 72 and 42
  Swap 72 and 42
  List after swap: [71, 42, 72, -62, 92, -58, 56, -56, -5, -11]
  Compare 72 and -62
  Swap 72 and -62
  List after swap: [71, 42, -62, 72, 92, -58, 56, -56, -5, -11]
  Compare 72 and 92
  No swap needed
  Compare 92 and -58
  Swap 92 and -58
  List after swap: [71, 42, -62, 72, -58, 92, 56, -56, -5, -11]
  Compare 92 and 56
  Swap 92 and 56
  List after swap: [71, 42, -62, 72, -58, 56, 92, -56, -5, -11]
  Compare 92 and -56
  Swap 92 and -56
  List after swap: [71, 42, -62, 72, -58, 56, -56, 92, -5, -11]
  Compare 92 and -5
  Swap 92 and -5
  List after swap: [71, 42, -62, 72, -58, 56, -56, -5, 92, -11]
  Compare 92 and -11
  Swap 92 and -11
  List after swap: [71, 42, -62, 72, -58, 56, -56, -5, -11, 92]

Pass 2:
  Compare 71 and 42
  Swap 71 and 42
  List after swap: [42, 71, -62, 72, -58, 56, -56, -5, -11, 92]
  Compare 71 and -62
  Swap 71 and -62
  List after swap: [42, -62, 71, 72, -58, 56, -56, -5, -11, 92]
  Compare 71 and 72
  No swap needed
  Compare 72 and -58
  Swap 72 and -58
  List after swap: [42, -62, 71, -58, 72, 56, -56, -5, -11, 92]
  Compare 72 and 56
  Swap 72 and 56
  List after swap: [42, -62, 71, -58, 56, 72, -56, -5, -11, 92]
  Compare 72 and -56
  Swap 72 and -56
  List after swap: [42, -62, 71, -58, 56, -56, 72, -5, -11, 92]
  Compare 72 and -5
  Swap 72 and -5
  List after swap: [42, -62, 71, -58, 56, -56, -5, 72, -11, 92]
  Compare 72 and -11
  Swap 72 and -11
  List after swap: [42, -62, 71, -58, 56, -56, -5, -11, 72, 92]

Pass 3:
  Compare 42 and -62
  Swap 42 and -62
  List after swap: [-62, 42, 71, -58, 56, -56, -5, -11, 72, 92]
  Compare 42 and 71
  No swap needed
  Compare 71 and -58
  Swap 71 and -58
  List after swap: [-62, 42, -58, 71, 56, -56, -5, -11, 72, 92]
  Compare 71 and 56
  Swap 71 and 56
  List after swap: [-62, 42, -58, 56, 71, -56, -5, -11, 72, 92]
  Compare 71 and -56
  Swap 71 and -56
  List after swap: [-62, 42, -58, 56, -56, 71, -5, -11, 72, 92]
  Compare 71 and -5
  Swap 71 and -5
  List after swap: [-62, 42, -58, 56, -56, -5, 71, -11, 72, 92]
  Compare 71 and -11
  Swap 71 and -11
  List after swap: [-62, 42, -58, 56, -56, -5, -11, 71, 72, 92]

Pass 4:
  Compare -62 and 42
  No swap needed
  Compare 42 and -58
  Swap 42 and -58
  List after swap: [-62, -58, 42, 56, -56, -5, -11, 71, 72, 92]
  Compare 42 and 56
  No swap needed
  Compare 56 and -56
  Swap 56 and -56
  List after swap: [-62, -58, 42, -56, 56, -5, -11, 71, 72, 92]
  Compare 56 and -5
  Swap 56 and -5
  List after swap: [-62, -58, 42, -56, -5, 56, -11, 71, 72, 92]
  Compare 56 and -11
  Swap 56 and -11
  List after swap: [-62, -58, 42, -56, -5, -11, 56, 71, 72, 92]

Pass 5:
  Compare -62 and -58
  No swap needed
  Compare -58 and 42
  No swap needed
  Compare 42 and -56
  Swap 42 and -56
  List after swap: [-62, -58, -56, 42, -5, -11, 56, 71, 72, 92]
  Compare 42 and -5
  Swap 42 and -5
  List after swap: [-62, -58, -56, -5, 42, -11, 56, 71, 72, 92]
  Compare 42 and -11
  Swap 42 and -11
  List after swap: [-62, -58, -56, -5, -11, 42, 56, 71, 72, 92]

Pass 6:
  Compare -62 and -58
  No swap needed
  Compare -58 and -56
  No swap needed
  Compare -56 and -5
  No swap needed
  Compare -5 and -11
  Swap -5 and -11
  List after swap: [-62, -58, -56, -11, -5, 42, 56, 71, 72, 92]

Pass 7:
  Compare -62 and -58
  No swap needed
  Compare -58 and -56
  No swap needed
  Compare -56 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -58, -56, -11, -5, 42, 56, 71, 72, 92]
</think>

<response>-62, -58, -56, -11, -5, 42, 56, 71, 72, 92</response>


input: Sort the list 21, -19, -96, 29, -71 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [21, -19, -96, 29, -71]

Pass 1:
  Compare 21 and -19
  Swap 21 and -19
  List after swap: [-19, 21, -96, 29, -71]
  Compare 21 and -96
  Swap 21 and -96
  List after swap: [-19, -96, 21, 29, -71]
  Compare 21 and 29
  No swap needed
  Compare 29 and -71
  Swap 29 and -71
  List after swap: [-19, -96, 21, -71, 29]

Pass 2:
  Compare -19 and -96
  Swap -19 and -96
  List after swap: [-96, -19, 21, -71, 29]
  Compare -19 and 21
  No swap needed
  Compare 21 and -71
  Swap 21 and -71
  List after swap: [-96, -19, -71, 21, 29]

Pass 3:
  Compare -96 and -19
  No swap needed
  Compare -19 and -71
  Swap -19 and -71
  List after swap: [-96, -71, -19, 21, 29]

Pass 4:
  Compare -96 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -71, -19, 21, 29]
</think>

<response>-96, -71, -19, 21, 29</response>


input: Sort the list -1, 7, -88, 52, 62, 35, -61, -46, 14, -37 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-1, 7, -88, 52, 62, 35, -61, -46, 14, -37]

Pass 1:
  Compare -1 and 7
  No swap needed
  Compare 7 and -88
  Swap 7 and -88
  List after swap: [-1, -88, 7, 52, 62, 35, -61, -46, 14, -37]
  Compare 7 and 52
  No swap needed
  Compare 52 and 62
  No swap needed
  Compare 62 and 35
  Swap 62 and 35
  List after swap: [-1, -88, 7, 52, 35, 62, -61, -46, 14, -37]
  Compare 62 and -61
  Swap 62 and -61
  List after swap: [-1, -88, 7, 52, 35, -61, 62, -46, 14, -37]
  Compare 62 and -46
  Swap 62 and -46
  List after swap: [-1, -88, 7, 52, 35, -61, -46, 62, 14, -37]
  Compare 62 and 14
  Swap 62 and 14
  List after swap: [-1, -88, 7, 52, 35, -61, -46, 14, 62, -37]
  Compare 62 and -37
  Swap 62 and -37
  List after swap: [-1, -88, 7, 52, 35, -61, -46, 14, -37, 62]

Pass 2:
  Compare -1 and -88
  Swap -1 and -88
  List after swap: [-88, -1, 7, 52, 35, -61, -46, 14, -37, 62]
  Compare -1 and 7
  No swap needed
  Compare 7 and 52
  No swap needed
  Compare 52 and 35
  Swap 52 and 35
  List after swap: [-88, -1, 7, 35, 52, -61, -46, 14, -37, 62]
  Compare 52 and -61
  Swap 52 and -61
  List after swap: [-88, -1, 7, 35, -61, 52, -46, 14, -37, 62]
  Compare 52 and -46
  Swap 52 and -46
  List after swap: [-88, -1, 7, 35, -61, -46, 52, 14, -37, 62]
  Compare 52 and 14
  Swap 52 and 14
  List after swap: [-88, -1, 7, 35, -61, -46, 14, 52, -37, 62]
  Compare 52 and -37
  Swap 52 and -37
  List after swap: [-88, -1, 7, 35, -61, -46, 14, -37, 52, 62]

Pass 3:
  Compare -88 and -1
  No swap needed
  Compare -1 and 7
  No swap needed
  Compare 7 and 35
  No swap needed
  Compare 35 and -61
  Swap 35 and -61
  List after swap: [-88, -1, 7, -61, 35, -46, 14, -37, 52, 62]
  Compare 35 and -46
  Swap 35 and -46
  List after swap: [-88, -1, 7, -61, -46, 35, 14, -37, 52, 62]
  Compare 35 and 14
  Swap 35 and 14
  List after swap: [-88, -1, 7, -61, -46, 14, 35, -37, 52, 62]
  Compare 35 and -37
  Swap 35 and -37
  List after swap: [-88, -1, 7, -61, -46, 14, -37, 35, 52, 62]

Pass 4:
  Compare -88 and -1
  No swap needed
  Compare -1 and 7
  No swap needed
  Compare 7 and -61
  Swap 7 and -61
  List after swap: [-88, -1, -61, 7, -46, 14, -37, 35, 52, 62]
  Compare 7 and -46
  Swap 7 and -46
  List after swap: [-88, -1, -61, -46, 7, 14, -37, 35, 52, 62]
  Compare 7 and 14
  No swap needed
  Compare 14 and -37
  Swap 14 and -37
  List after swap: [-88, -1, -61, -46, 7, -37, 14, 35, 52, 62]

Pass 5:
  Compare -88 and -1
  No swap needed
  Compare -1 and -61
  Swap -1 and -61
  List after swap: [-88, -61, -1, -46, 7, -37, 14, 35, 52, 62]
  Compare -1 and -46
  Swap -1 and -46
  List after swap: [-88, -61, -46, -1, 7, -37, 14, 35, 52, 62]
  Compare -1 and 7
  No swap needed
  Compare 7 and -37
  Swap 7 and -37
  List after swap: [-88, -61, -46, -1, -37, 7, 14, 35, 52, 62]

Pass 6:
  Compare -88 and -61
  No swap needed
  Compare -61 and -46
  No swap needed
  Compare -46 and -1
  No swap needed
  Compare -1 and -37
  Swap -1 and -37
  List after swap: [-88, -61, -46, -37, -1, 7, 14, 35, 52, 62]

Pass 7:
  Compare -88 and -61
  No swap needed
  Compare -61 and -46
  No swap needed
  Compare -46 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -61, -46, -37, -1, 7, 14, 35, 52, 62]
</think>

<response>-88, -61, -46, -37, -1, 7, 14, 35, 52, 62</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 15, -50, -87, 89, 54, 44, -3.

output:
<think>
Initial list: [15, -50, -87, 89, 54, 44, -3]

Pass 1:
  Compare 15 and -50
  Swap 15 and -50
  List after swap: [-50, 15, -87, 89, 54, 44, -3]
  Compare 15 and -87
  Swap 15 and -87
  List after swap: [-50, -87, 15, 89, 54, 44, -3]
  Compare 15 and 89
  No swap needed
  Compare 89 and 54
  Swap 89 and 54
  List after swap: [-50, -87, 15, 54, 89, 44, -3]
  Compare 89 and 44
  Swap 89 and 44
  List after swap: [-50, -87, 15, 54, 44, 89, -3]
  Compare 89 and -3
  Swap 89 and -3
  List after swap: [-50, -87, 15, 54, 44, -3, 89]

Pass 2:
  Compare -50 and -87
  Swap -50 and -87
  List after swap: [-87, -50, 15, 54, 44, -3, 89]
  Compare -50 and 15
  No swap needed
  Compare 15 and 54
  No swap needed
  Compare 54 and 44
  Swap 54 and 44
  List after swap: [-87, -50, 15, 44, 54, -3, 89]
  Compare 54 and -3
  Swap 54 and -3
  List after swap: [-87, -50, 15, 44, -3, 54, 89]

Pass 3:
  Compare -87 and -50
  No swap needed
  Compare -50 and 15
  No swap needed
  Compare 15 and 44
  No swap needed
  Compare 44 and -3
  Swap 44 and -3
  List after swap: [-87, -50, 15, -3, 44, 54, 89]

Pass 4:
  Compare -87 and -50
  No swap needed
  Compare -50 and 15
  No swap needed
  Compare 15 and -3
  Swap 15 and -3
  List after swap: [-87, -50, -3, 15, 44, 54, 89]

Pass 5:
  Compare -87 and -50
  No swap needed
  Compare -50 and -3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -50, -3, 15, 44, 54, 89]
</think>

<response>-87, -50, -3, 15, 44, 54, 89</response>


input: Implement bubble sort on 93, 35, 21, -75, -39, -3, -21, -100, 8, -88 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [93, 35, 21, -75, -39, -3, -21, -100, 8, -88]

Pass 1:
  Compare 93 and 35
  Swap 93 and 35
  List after swap: [35, 93, 21, -75, -39, -3, -21, -100, 8, -88]
  Compare 93 and 21
  Swap 93 and 21
  List after swap: [35, 21, 93, -75, -39, -3, -21, -100, 8, -88]
  Compare 93 and -75
  Swap 93 and -75
  List after swap: [35, 21, -75, 93, -39, -3, -21, -100, 8, -88]
  Compare 93 and -39
  Swap 93 and -39
  List after swap: [35, 21, -75, -39, 93, -3, -21, -100, 8, -88]
  Compare 93 and -3
  Swap 93 and -3
  List after swap: [35, 21, -75, -39, -3, 93, -21, -100, 8, -88]
  Compare 93 and -21
  Swap 93 and -21
  List after swap: [35, 21, -75, -39, -3, -21, 93, -100, 8, -88]
  Compare 93 and -100
  Swap 93 and -100
  List after swap: [35, 21, -75, -39, -3, -21, -100, 93, 8, -88]
  Compare 93 and 8
  Swap 93 and 8
  List after swap: [35, 21, -75, -39, -3, -21, -100, 8, 93, -88]
  Compare 93 and -88
  Swap 93 and -88
  List after swap: [35, 21, -75, -39, -3, -21, -100, 8, -88, 93]

Pass 2:
  Compare 35 and 21
  Swap 35 and 21
  List after swap: [21, 35, -75, -39, -3, -21, -100, 8, -88, 93]
  Compare 35 and -75
  Swap 35 and -75
  List after swap: [21, -75, 35, -39, -3, -21, -100, 8, -88, 93]
  Compare 35 and -39
  Swap 35 and -39
  List after swap: [21, -75, -39, 35, -3, -21, -100, 8, -88, 93]
  Compare 35 and -3
  Swap 35 and -3
  List after swap: [21, -75, -39, -3, 35, -21, -100, 8, -88, 93]
  Compare 35 and -21
  Swap 35 and -21
  List after swap: [21, -75, -39, -3, -21, 35, -100, 8, -88, 93]
  Compare 35 and -100
  Swap 35 and -100
  List after swap: [21, -75, -39, -3, -21, -100, 35, 8, -88, 93]
  Compare 35 and 8
  Swap 35 and 8
  List after swap: [21, -75, -39, -3, -21, -100, 8, 35, -88, 93]
  Compare 35 and -88
  Swap 35 and -88
  List after swap: [21, -75, -39, -3, -21, -100, 8, -88, 35, 93]

Pass 3:
  Compare 21 and -75
  Swap 21 and -75
  List after swap: [-75, 21, -39, -3, -21, -100, 8, -88, 35, 93]
  Compare 21 and -39
  Swap 21 and -39
  List after swap: [-75, -39, 21, -3, -21, -100, 8, -88, 35, 93]
  Compare 21 and -3
  Swap 21 and -3
  List after swap: [-75, -39, -3, 21, -21, -100, 8, -88, 35, 93]
  Compare 21 and -21
  Swap 21 and -21
  List after swap: [-75, -39, -3, -21, 21, -100, 8, -88, 35, 93]
  Compare 21 and -100
  Swap 21 and -100
  List after swap: [-75, -39, -3, -21, -100, 21, 8, -88, 35, 93]
  Compare 21 and 8
  Swap 21 and 8
  List after swap: [-75, -39, -3, -21, -100, 8, 21, -88, 35, 93]
  Compare 21 and -88
  Swap 21 and -88
  List after swap: [-75, -39, -3, -21, -100, 8, -88, 21, 35, 93]

Pass 4:
  Compare -75 and -39
  No swap needed
  Compare -39 and -3
  No swap needed
  Compare -3 and -21
  Swap -3 and -21
  List after swap: [-75, -39, -21, -3, -100, 8, -88, 21, 35, 93]
  Compare -3 and -100
  Swap -3 and -100
  List after swap: [-75, -39, -21, -100, -3, 8, -88, 21, 35, 93]
  Compare -3 and 8
  No swap needed
  Compare 8 and -88
  Swap 8 and -88
  List after swap: [-75, -39, -21, -100, -3, -88, 8, 21, 35, 93]

Pass 5:
  Compare -75 and -39
  No swap needed
  Compare -39 and -21
  No swap needed
  Compare -21 and -100
  Swap -21 and -100
  List after swap: [-75, -39, -100, -21, -3, -88, 8, 21, 35, 93]
  Compare -21 and -3
  No swap needed
  Compare -3 and -88
  Swap -3 and -88
  List after swap: [-75, -39, -100, -21, -88, -3, 8, 21, 35, 93]

Pass 6:
  Compare -75 and -39
  No swap needed
  Compare -39 and -100
  Swap -39 and -100
  List after swap: [-75, -100, -39, -21, -88, -3, 8, 21, 35, 93]
  Compare -39 and -21
  No swap needed
  Compare -21 and -88
  Swap -21 and -88
  List after swap: [-75, -100, -39, -88, -21, -3, 8, 21, 35, 93]

Pass 7:
  Compare -75 and -100
  Swap -75 and -100
  List after swap: [-100, -75, -39, -88, -21, -3, 8, 21, 35, 93]
  Compare -75 and -39
  No swap needed
  Compare -39 and -88
  Swap -39 and -88
  List after swap: [-100, -75, -88, -39, -21, -3, 8, 21, 35, 93]

Pass 8:
  Compare -100 and -75
  No swap needed
  Compare -75 and -88
  Swap -75 and -88
  List after swap: [-100, -88, -75, -39, -21, -3, 8, 21, 35, 93]

Pass 9:
  Compare -100 and -88
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -88, -75, -39, -21, -3, 8, 21, 35, 93]
</think>

<response>-100, -88, -75, -39, -21, -3, 8, 21, 35, 93</response>


input: Sort these integers -14, 64, -49, 88, 81, 68, -31, -71, -63 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-14, 64, -49, 88, 81, 68, -31, -71, -63]

Pass 1:
  Compare -14 and 64
  No swap needed
  Compare 64 and -49
  Swap 64 and -49
  List after swap: [-14, -49, 64, 88, 81, 68, -31, -71, -63]
  Compare 64 and 88
  No swap needed
  Compare 88 and 81
  Swap 88 and 81
  List after swap: [-14, -49, 64, 81, 88, 68, -31, -71, -63]
  Compare 88 and 68
  Swap 88 and 68
  List after swap: [-14, -49, 64, 81, 68, 88, -31, -71, -63]
  Compare 88 and -31
  Swap 88 and -31
  List after swap: [-14, -49, 64, 81, 68, -31, 88, -71, -63]
  Compare 88 and -71
  Swap 88 and -71
  List after swap: [-14, -49, 64, 81, 68, -31, -71, 88, -63]
  Compare 88 and -63
  Swap 88 and -63
  List after swap: [-14, -49, 64, 81, 68, -31, -71, -63, 88]

Pass 2:
  Compare -14 and -49
  Swap -14 and -49
  List after swap: [-49, -14, 64, 81, 68, -31, -71, -63, 88]
  Compare -14 and 64
  No swap needed
  Compare 64 and 81
  No swap needed
  Compare 81 and 68
  Swap 81 and 68
  List after swap: [-49, -14, 64, 68, 81, -31, -71, -63, 88]
  Compare 81 and -31
  Swap 81 and -31
  List after swap: [-49, -14, 64, 68, -31, 81, -71, -63, 88]
  Compare 81 and -71
  Swap 81 and -71
  List after swap: [-49, -14, 64, 68, -31, -71, 81, -63, 88]
  Compare 81 and -63
  Swap 81 and -63
  List after swap: [-49, -14, 64, 68, -31, -71, -63, 81, 88]

Pass 3:
  Compare -49 and -14
  No swap needed
  Compare -14 and 64
  No swap needed
  Compare 64 and 68
  No swap needed
  Compare 68 and -31
  Swap 68 and -31
  List after swap: [-49, -14, 64, -31, 68, -71, -63, 81, 88]
  Compare 68 and -71
  Swap 68 and -71
  List after swap: [-49, -14, 64, -31, -71, 68, -63, 81, 88]
  Compare 68 and -63
  Swap 68 and -63
  List after swap: [-49, -14, 64, -31, -71, -63, 68, 81, 88]

Pass 4:
  Compare -49 and -14
  No swap needed
  Compare -14 and 64
  No swap needed
  Compare 64 and -31
  Swap 64 and -31
  List after swap: [-49, -14, -31, 64, -71, -63, 68, 81, 88]
  Compare 64 and -71
  Swap 64 and -71
  List after swap: [-49, -14, -31, -71, 64, -63, 68, 81, 88]
  Compare 64 and -63
  Swap 64 and -63
  List after swap: [-49, -14, -31, -71, -63, 64, 68, 81, 88]

Pass 5:
  Compare -49 and -14
  No swap needed
  Compare -14 and -31
  Swap -14 and -31
  List after swap: [-49, -31, -14, -71, -63, 64, 68, 81, 88]
  Compare -14 and -71
  Swap -14 and -71
  List after swap: [-49, -31, -71, -14, -63, 64, 68, 81, 88]
  Compare -14 and -63
  Swap -14 and -63
  List after swap: [-49, -31, -71, -63, -14, 64, 68, 81, 88]

Pass 6:
  Compare -49 and -31
  No swap needed
  Compare -31 and -71
  Swap -31 and -71
  List after swap: [-49, -71, -31, -63, -14, 64, 68, 81, 88]
  Compare -31 and -63
  Swap -31 and -63
  List after swap: [-49, -71, -63, -31, -14, 64, 68, 81, 88]

Pass 7:
  Compare -49 and -71
  Swap -49 and -71
  List after swap: [-71, -49, -63, -31, -14, 64, 68, 81, 88]
  Compare -49 and -63
  Swap -49 and -63
  List after swap: [-71, -63, -49, -31, -14, 64, 68, 81, 88]

Pass 8:
  Compare -71 and -63
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -63, -49, -31, -14, 64, 68, 81, 88]
</think>

<response>-71, -63, -49, -31, -14, 64, 68, 81, 88</response>


input: Carry out the bubble sort algorithm on -91, -93, 72, 45, -40, 12 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-91, -93, 72, 45, -40, 12]

Pass 1:
  Compare -91 and -93
  Swap -91 and -93
  List after swap: [-93, -91, 72, 45, -40, 12]
  Compare -91 and 72
  No swap needed
  Compare 72 and 45
  Swap 72 and 45
  List after swap: [-93, -91, 45, 72, -40, 12]
  Compare 72 and -40
  Swap 72 and -40
  List after swap: [-93, -91, 45, -40, 72, 12]
  Compare 72 and 12
  Swap 72 and 12
  List after swap: [-93, -91, 45, -40, 12, 72]

Pass 2:
  Compare -93 and -91
  No swap needed
  Compare -91 and 45
  No swap needed
  Compare 45 and -40
  Swap 45 and -40
  List after swap: [-93, -91, -40, 45, 12, 72]
  Compare 45 and 12
  Swap 45 and 12
  List after swap: [-93, -91, -40, 12, 45, 72]

Pass 3:
  Compare -93 and -91
  No swap needed
  Compare -91 and -40
  No swap needed
  Compare -40 and 12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -91, -40, 12, 45, 72]
</think>

<response>-93, -91, -40, 12, 45, 72</response>


input: Carry out the bubble sort algorithm on 81, 95 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [81, 95]

Pass 1:
  Compare 81 and 95
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [81, 95]
</think>

<response>81, 95</response>


input: Arrange the numbers -48, 45, 40, 67, 4, 97, -1, -60, -15 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-48, 45, 40, 67, 4, 97, -1, -60, -15]

Pass 1:
  Compare -48 and 45
  No swap needed
  Compare 45 and 40
  Swap 45 and 40
  List after swap: [-48, 40, 45, 67, 4, 97, -1, -60, -15]
  Compare 45 and 67
  No swap needed
  Compare 67 and 4
  Swap 67 and 4
  List after swap: [-48, 40, 45, 4, 67, 97, -1, -60, -15]
  Compare 67 and 97
  No swap needed
  Compare 97 and -1
  Swap 97 and -1
  List after swap: [-48, 40, 45, 4, 67, -1, 97, -60, -15]
  Compare 97 and -60
  Swap 97 and -60
  List after swap: [-48, 40, 45, 4, 67, -1, -60, 97, -15]
  Compare 97 and -15
  Swap 97 and -15
  List after swap: [-48, 40, 45, 4, 67, -1, -60, -15, 97]

Pass 2:
  Compare -48 and 40
  No swap needed
  Compare 40 and 45
  No swap needed
  Compare 45 and 4
  Swap 45 and 4
  List after swap: [-48, 40, 4, 45, 67, -1, -60, -15, 97]
  Compare 45 and 67
  No swap needed
  Compare 67 and -1
  Swap 67 and -1
  List after swap: [-48, 40, 4, 45, -1, 67, -60, -15, 97]
  Compare 67 and -60
  Swap 67 and -60
  List after swap: [-48, 40, 4, 45, -1, -60, 67, -15, 97]
  Compare 67 and -15
  Swap 67 and -15
  List after swap: [-48, 40, 4, 45, -1, -60, -15, 67, 97]

Pass 3:
  Compare -48 and 40
  No swap needed
  Compare 40 and 4
  Swap 40 and 4
  List after swap: [-48, 4, 40, 45, -1, -60, -15, 67, 97]
  Compare 40 and 45
  No swap needed
  Compare 45 and -1
  Swap 45 and -1
  List after swap: [-48, 4, 40, -1, 45, -60, -15, 67, 97]
  Compare 45 and -60
  Swap 45 and -60
  List after swap: [-48, 4, 40, -1, -60, 45, -15, 67, 97]
  Compare 45 and -15
  Swap 45 and -15
  List after swap: [-48, 4, 40, -1, -60, -15, 45, 67, 97]

Pass 4:
  Compare -48 and 4
  No swap needed
  Compare 4 and 40
  No swap needed
  Compare 40 and -1
  Swap 40 and -1
  List after swap: [-48, 4, -1, 40, -60, -15, 45, 67, 97]
  Compare 40 and -60
  Swap 40 and -60
  List after swap: [-48, 4, -1, -60, 40, -15, 45, 67, 97]
  Compare 40 and -15
  Swap 40 and -15
  List after swap: [-48, 4, -1, -60, -15, 40, 45, 67, 97]

Pass 5:
  Compare -48 and 4
  No swap needed
  Compare 4 and -1
  Swap 4 and -1
  List after swap: [-48, -1, 4, -60, -15, 40, 45, 67, 97]
  Compare 4 and -60
  Swap 4 and -60
  List after swap: [-48, -1, -60, 4, -15, 40, 45, 67, 97]
  Compare 4 and -15
  Swap 4 and -15
  List after swap: [-48, -1, -60, -15, 4, 40, 45, 67, 97]

Pass 6:
  Compare -48 and -1
  No swap needed
  Compare -1 and -60
  Swap -1 and -60
  List after swap: [-48, -60, -1, -15, 4, 40, 45, 67, 97]
  Compare -1 and -15
  Swap -1 and -15
  List after swap: [-48, -60, -15, -1, 4, 40, 45, 67, 97]

Pass 7:
  Compare -48 and -60
  Swap -48 and -60
  List after swap: [-60, -48, -15, -1, 4, 40, 45, 67, 97]
  Compare -48 and -15
  No swap needed

Pass 8:
  Compare -60 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -48, -15, -1, 4, 40, 45, 67, 97]
</think>

<response>-60, -48, -15, -1, 4, 40, 45, 67, 97</response>


input: Implement bubble sort on -20, -13, -95, 54, -24, 95, -76, -26, -93 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-20, -13, -95, 54, -24, 95, -76, -26, -93]

Pass 1:
  Compare -20 and -13
  No swap needed
  Compare -13 and -95
  Swap -13 and -95
  List after swap: [-20, -95, -13, 54, -24, 95, -76, -26, -93]
  Compare -13 and 54
  No swap needed
  Compare 54 and -24
  Swap 54 and -24
  List after swap: [-20, -95, -13, -24, 54, 95, -76, -26, -93]
  Compare 54 and 95
  No swap needed
  Compare 95 and -76
  Swap 95 and -76
  List after swap: [-20, -95, -13, -24, 54, -76, 95, -26, -93]
  Compare 95 and -26
  Swap 95 and -26
  List after swap: [-20, -95, -13, -24, 54, -76, -26, 95, -93]
  Compare 95 and -93
  Swap 95 and -93
  List after swap: [-20, -95, -13, -24, 54, -76, -26, -93, 95]

Pass 2:
  Compare -20 and -95
  Swap -20 and -95
  List after swap: [-95, -20, -13, -24, 54, -76, -26, -93, 95]
  Compare -20 and -13
  No swap needed
  Compare -13 and -24
  Swap -13 and -24
  List after swap: [-95, -20, -24, -13, 54, -76, -26, -93, 95]
  Compare -13 and 54
  No swap needed
  Compare 54 and -76
  Swap 54 and -76
  List after swap: [-95, -20, -24, -13, -76, 54, -26, -93, 95]
  Compare 54 and -26
  Swap 54 and -26
  List after swap: [-95, -20, -24, -13, -76, -26, 54, -93, 95]
  Compare 54 and -93
  Swap 54 and -93
  List after swap: [-95, -20, -24, -13, -76, -26, -93, 54, 95]

Pass 3:
  Compare -95 and -20
  No swap needed
  Compare -20 and -24
  Swap -20 and -24
  List after swap: [-95, -24, -20, -13, -76, -26, -93, 54, 95]
  Compare -20 and -13
  No swap needed
  Compare -13 and -76
  Swap -13 and -76
  List after swap: [-95, -24, -20, -76, -13, -26, -93, 54, 95]
  Compare -13 and -26
  Swap -13 and -26
  List after swap: [-95, -24, -20, -76, -26, -13, -93, 54, 95]
  Compare -13 and -93
  Swap -13 and -93
  List after swap: [-95, -24, -20, -76, -26, -93, -13, 54, 95]

Pass 4:
  Compare -95 and -24
  No swap needed
  Compare -24 and -20
  No swap needed
  Compare -20 and -76
  Swap -20 and -76
  List after swap: [-95, -24, -76, -20, -26, -93, -13, 54, 95]
  Compare -20 and -26
  Swap -20 and -26
  List after swap: [-95, -24, -76, -26, -20, -93, -13, 54, 95]
  Compare -20 and -93
  Swap -20 and -93
  List after swap: [-95, -24, -76, -26, -93, -20, -13, 54, 95]

Pass 5:
  Compare -95 and -24
  No swap needed
  Compare -24 and -76
  Swap -24 and -76
  List after swap: [-95, -76, -24, -26, -93, -20, -13, 54, 95]
  Compare -24 and -26
  Swap -24 and -26
  List after swap: [-95, -76, -26, -24, -93, -20, -13, 54, 95]
  Compare -24 and -93
  Swap -24 and -93
  List after swap: [-95, -76, -26, -93, -24, -20, -13, 54, 95]

Pass 6:
  Compare -95 and -76
  No swap needed
  Compare -76 and -26
  No swap needed
  Compare -26 and -93
  Swap -26 and -93
  List after swap: [-95, -76, -93, -26, -24, -20, -13, 54, 95]

Pass 7:
  Compare -95 and -76
  No swap needed
  Compare -76 and -93
  Swap -76 and -93
  List after swap: [-95, -93, -76, -26, -24, -20, -13, 54, 95]

Pass 8:
  Compare -95 and -93
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -93, -76, -26, -24, -20, -13, 54, 95]
</think>

<response>-95, -93, -76, -26, -24, -20, -13, 54, 95</response>


input: Carry out the bubble sort algorithm on 1, -34, -60, 65, 20, 89 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [1, -34, -60, 65, 20, 89]

Pass 1:
  Compare 1 and -34
  Swap 1 and -34
  List after swap: [-34, 1, -60, 65, 20, 89]
  Compare 1 and -60
  Swap 1 and -60
  List after swap: [-34, -60, 1, 65, 20, 89]
  Compare 1 and 65
  No swap needed
  Compare 65 and 20
  Swap 65 and 20
  List after swap: [-34, -60, 1, 20, 65, 89]
  Compare 65 and 89
  No swap needed

Pass 2:
  Compare -34 and -60
  Swap -34 and -60
  List after swap: [-60, -34, 1, 20, 65, 89]
  Compare -34 and 1
  No swap needed
  Compare 1 and 20
  No swap needed
  Compare 20 and 65
  No swap needed

Pass 3:
  Compare -60 and -34
  No swap needed
  Compare -34 and 1
  No swap needed
  Compare 1 and 20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -34, 1, 20, 65, 89]
</think>

<response>-60, -34, 1, 20, 65, 89</response>


input: Sort the list -5, 51, -42, -12, 10, -41 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-5, 51, -42, -12, 10, -41]

Pass 1:
  Compare -5 and 51
  No swap needed
  Compare 51 and -42
  Swap 51 and -42
  List after swap: [-5, -42, 51, -12, 10, -41]
  Compare 51 and -12
  Swap 51 and -12
  List after swap: [-5, -42, -12, 51, 10, -41]
  Compare 51 and 10
  Swap 51 and 10
  List after swap: [-5, -42, -12, 10, 51, -41]
  Compare 51 and -41
  Swap 51 and -41
  List after swap: [-5, -42, -12, 10, -41, 51]

Pass 2:
  Compare -5 and -42
  Swap -5 and -42
  List after swap: [-42, -5, -12, 10, -41, 51]
  Compare -5 and -12
  Swap -5 and -12
  List after swap: [-42, -12, -5, 10, -41, 51]
  Compare -5 and 10
  No swap needed
  Compare 10 and -41
  Swap 10 and -41
  List after swap: [-42, -12, -5, -41, 10, 51]

Pass 3:
  Compare -42 and -12
  No swap needed
  Compare -12 and -5
  No swap needed
  Compare -5 and -41
  Swap -5 and -41
  List after swap: [-42, -12, -41, -5, 10, 51]

Pass 4:
  Compare -42 and -12
  No swap needed
  Compare -12 and -41
  Swap -12 and -41
  List after swap: [-42, -41, -12, -5, 10, 51]

Pass 5:
  Compare -42 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-42, -41, -12, -5, 10, 51]
</think>

<response>-42, -41, -12, -5, 10, 51</response>


input: Sort these integers 97, -28 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [97, -28]

Pass 1:
  Compare 97 and -28
  Swap 97 and -28
  List after swap: [-28, 97]

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

Final sorted list: [-28, 97]
</think>

<response>-28, 97</response>


input: Perform a bubble sort on the integers -73, 86, -27, -75, -38, 6, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-73, 86, -27, -75, -38, 6]

Pass 1:
  Compare -73 and 86
  No swap needed
  Compare 86 and -27
  Swap 86 and -27
  List after swap: [-73, -27, 86, -75, -38, 6]
  Compare 86 and -75
  Swap 86 and -75
  List after swap: [-73, -27, -75, 86, -38, 6]
  Compare 86 and -38
  Swap 86 and -38
  List after swap: [-73, -27, -75, -38, 86, 6]
  Compare 86 and 6
  Swap 86 and 6
  List after swap: [-73, -27, -75, -38, 6, 86]

Pass 2:
  Compare -73 and -27
  No swap needed
  Compare -27 and -75
  Swap -27 and -75
  List after swap: [-73, -75, -27, -38, 6, 86]
  Compare -27 and -38
  Swap -27 and -38
  List after swap: [-73, -75, -38, -27, 6, 86]
  Compare -27 and 6
  No swap needed

Pass 3:
  Compare -73 and -75
  Swap -73 and -75
  List after swap: [-75, -73, -38, -27, 6, 86]
  Compare -73 and -38
  No swap needed
  Compare -38 and -27
  No swap needed

Pass 4:
  Compare -75 and -73
  No swap needed
  Compare -73 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -73, -38, -27, 6, 86]
</think>

<response>-75, -73, -38, -27, 6, 86</response>


input: Perform a bubble sort on the integers -80, 6, 42, 98, -23, 92, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-80, 6, 42, 98, -23, 92]

Pass 1:
  Compare -80 and 6
  No swap needed
  Compare 6 and 42
  No swap needed
  Compare 42 and 98
  No swap needed
  Compare 98 and -23
  Swap 98 and -23
  List after swap: [-80, 6, 42, -23, 98, 92]
  Compare 98 and 92
  Swap 98 and 92
  List after swap: [-80, 6, 42, -23, 92, 98]

Pass 2:
  Compare -80 and 6
  No swap needed
  Compare 6 and 42
  No swap needed
  Compare 42 and -23
  Swap 42 and -23
  List after swap: [-80, 6, -23, 42, 92, 98]
  Compare 42 and 92
  No swap needed

Pass 3:
  Compare -80 and 6
  No swap needed
  Compare 6 and -23
  Swap 6 and -23
  List after swap: [-80, -23, 6, 42, 92, 98]
  Compare 6 and 42
  No swap needed

Pass 4:
  Compare -80 and -23
  No swap needed
  Compare -23 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -23, 6, 42, 92, 98]
</think>

<response>-80, -23, 6, 42, 92, 98</response>


input: Sort these integers 17, -29, -60, 56, -52, -55, 9, -68, 22, -13 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [17, -29, -60, 56, -52, -55, 9, -68, 22, -13]

Pass 1:
  Compare 17 and -29
  Swap 17 and -29
  List after swap: [-29, 17, -60, 56, -52, -55, 9, -68, 22, -13]
  Compare 17 and -60
  Swap 17 and -60
  List after swap: [-29, -60, 17, 56, -52, -55, 9, -68, 22, -13]
  Compare 17 and 56
  No swap needed
  Compare 56 and -52
  Swap 56 and -52
  List after swap: [-29, -60, 17, -52, 56, -55, 9, -68, 22, -13]
  Compare 56 and -55
  Swap 56 and -55
  List after swap: [-29, -60, 17, -52, -55, 56, 9, -68, 22, -13]
  Compare 56 and 9
  Swap 56 and 9
  List after swap: [-29, -60, 17, -52, -55, 9, 56, -68, 22, -13]
  Compare 56 and -68
  Swap 56 and -68
  List after swap: [-29, -60, 17, -52, -55, 9, -68, 56, 22, -13]
  Compare 56 and 22
  Swap 56 and 22
  List after swap: [-29, -60, 17, -52, -55, 9, -68, 22, 56, -13]
  Compare 56 and -13
  Swap 56 and -13
  List after swap: [-29, -60, 17, -52, -55, 9, -68, 22, -13, 56]

Pass 2:
  Compare -29 and -60
  Swap -29 and -60
  List after swap: [-60, -29, 17, -52, -55, 9, -68, 22, -13, 56]
  Compare -29 and 17
  No swap needed
  Compare 17 and -52
  Swap 17 and -52
  List after swap: [-60, -29, -52, 17, -55, 9, -68, 22, -13, 56]
  Compare 17 and -55
  Swap 17 and -55
  List after swap: [-60, -29, -52, -55, 17, 9, -68, 22, -13, 56]
  Compare 17 and 9
  Swap 17 and 9
  List after swap: [-60, -29, -52, -55, 9, 17, -68, 22, -13, 56]
  Compare 17 and -68
  Swap 17 and -68
  List after swap: [-60, -29, -52, -55, 9, -68, 17, 22, -13, 56]
  Compare 17 and 22
  No swap needed
  Compare 22 and -13
  Swap 22 and -13
  List after swap: [-60, -29, -52, -55, 9, -68, 17, -13, 22, 56]

Pass 3:
  Compare -60 and -29
  No swap needed
  Compare -29 and -52
  Swap -29 and -52
  List after swap: [-60, -52, -29, -55, 9, -68, 17, -13, 22, 56]
  Compare -29 and -55
  Swap -29 and -55
  List after swap: [-60, -52, -55, -29, 9, -68, 17, -13, 22, 56]
  Compare -29 and 9
  No swap needed
  Compare 9 and -68
  Swap 9 and -68
  List after swap: [-60, -52, -55, -29, -68, 9, 17, -13, 22, 56]
  Compare 9 and 17
  No swap needed
  Compare 17 and -13
  Swap 17 and -13
  List after swap: [-60, -52, -55, -29, -68, 9, -13, 17, 22, 56]

Pass 4:
  Compare -60 and -52
  No swap needed
  Compare -52 and -55
  Swap -52 and -55
  List after swap: [-60, -55, -52, -29, -68, 9, -13, 17, 22, 56]
  Compare -52 and -29
  No swap needed
  Compare -29 and -68
  Swap -29 and -68
  List after swap: [-60, -55, -52, -68, -29, 9, -13, 17, 22, 56]
  Compare -29 and 9
  No swap needed
  Compare 9 and -13
  Swap 9 and -13
  List after swap: [-60, -55, -52, -68, -29, -13, 9, 17, 22, 56]

Pass 5:
  Compare -60 and -55
  No swap needed
  Compare -55 and -52
  No swap needed
  Compare -52 and -68
  Swap -52 and -68
  List after swap: [-60, -55, -68, -52, -29, -13, 9, 17, 22, 56]
  Compare -52 and -29
  No swap needed
  Compare -29 and -13
  No swap needed

Pass 6:
  Compare -60 and -55
  No swap needed
  Compare -55 and -68
  Swap -55 and -68
  List after swap: [-60, -68, -55, -52, -29, -13, 9, 17, 22, 56]
  Compare -55 and -52
  No swap needed
  Compare -52 and -29
  No swap needed

Pass 7:
  Compare -60 and -68
  Swap -60 and -68
  List after swap: [-68, -60, -55, -52, -29, -13, 9, 17, 22, 56]
  Compare -60 and -55
  No swap needed
  Compare -55 and -52
  No swap needed

Pass 8:
  Compare -68 and -60
  No swap needed
  Compare -60 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -60, -55, -52, -29, -13, 9, 17, 22, 56]
</think>

<response>-68, -60, -55, -52, -29, -13, 9, 17, 22, 56</response>


input: Perform a bubble sort on the integers 5, 96, -96, -100, 21, -17, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [5, 96, -96, -100, 21, -17]

Pass 1:
  Compare 5 and 96
  No swap needed
  Compare 96 and -96
  Swap 96 and -96
  List after swap: [5, -96, 96, -100, 21, -17]
  Compare 96 and -100
  Swap 96 and -100
  List after swap: [5, -96, -100, 96, 21, -17]
  Compare 96 and 21
  Swap 96 and 21
  List after swap: [5, -96, -100, 21, 96, -17]
  Compare 96 and -17
  Swap 96 and -17
  List after swap: [5, -96, -100, 21, -17, 96]

Pass 2:
  Compare 5 and -96
  Swap 5 and -96
  List after swap: [-96, 5, -100, 21, -17, 96]
  Compare 5 and -100
  Swap 5 and -100
  List after swap: [-96, -100, 5, 21, -17, 96]
  Compare 5 and 21
  No swap needed
  Compare 21 and -17
  Swap 21 and -17
  List after swap: [-96, -100, 5, -17, 21, 96]

Pass 3:
  Compare -96 and -100
  Swap -96 and -100
  List after swap: [-100, -96, 5, -17, 21, 96]
  Compare -96 and 5
  No swap needed
  Compare 5 and -17
  Swap 5 and -17
  List after swap: [-100, -96, -17, 5, 21, 96]

Pass 4:
  Compare -100 and -96
  No swap needed
  Compare -96 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -96, -17, 5, 21, 96]
</think>

<response>-100, -96, -17, 5, 21, 96</response>


input: Demonstrate how bubble sort orders the integers -9, 37, 83, 39, 69 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-9, 37, 83, 39, 69]

Pass 1:
  Compare -9 and 37
  No swap needed
  Compare 37 and 83
  No swap needed
  Compare 83 and 39
  Swap 83 and 39
  List after swap: [-9, 37, 39, 83, 69]
  Compare 83 and 69
  Swap 83 and 69
  List after swap: [-9, 37, 39, 69, 83]

Pass 2:
  Compare -9 and 37
  No swap needed
  Compare 37 and 39
  No swap needed
  Compare 39 and 69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-9, 37, 39, 69, 83]
</think>

<response>-9, 37, 39, 69, 83</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 17, -78, 2, 83, -97, -6, 39, -26, -24, -70.

output:
<think>
Initial list: [17, -78, 2, 83, -97, -6, 39, -26, -24, -70]

Pass 1:
  Compare 17 and -78
  Swap 17 and -78
  List after swap: [-78, 17, 2, 83, -97, -6, 39, -26, -24, -70]
  Compare 17 and 2
  Swap 17 and 2
  List after swap: [-78, 2, 17, 83, -97, -6, 39, -26, -24, -70]
  Compare 17 and 83
  No swap needed
  Compare 83 and -97
  Swap 83 and -97
  List after swap: [-78, 2, 17, -97, 83, -6, 39, -26, -24, -70]
  Compare 83 and -6
  Swap 83 and -6
  List after swap: [-78, 2, 17, -97, -6, 83, 39, -26, -24, -70]
  Compare 83 and 39
  Swap 83 and 39
  List after swap: [-78, 2, 17, -97, -6, 39, 83, -26, -24, -70]
  Compare 83 and -26
  Swap 83 and -26
  List after swap: [-78, 2, 17, -97, -6, 39, -26, 83, -24, -70]
  Compare 83 and -24
  Swap 83 and -24
  List after swap: [-78, 2, 17, -97, -6, 39, -26, -24, 83, -70]
  Compare 83 and -70
  Swap 83 and -70
  List after swap: [-78, 2, 17, -97, -6, 39, -26, -24, -70, 83]

Pass 2:
  Compare -78 and 2
  No swap needed
  Compare 2 and 17
  No swap needed
  Compare 17 and -97
  Swap 17 and -97
  List after swap: [-78, 2, -97, 17, -6, 39, -26, -24, -70, 83]
  Compare 17 and -6
  Swap 17 and -6
  List after swap: [-78, 2, -97, -6, 17, 39, -26, -24, -70, 83]
  Compare 17 and 39
  No swap needed
  Compare 39 and -26
  Swap 39 and -26
  List after swap: [-78, 2, -97, -6, 17, -26, 39, -24, -70, 83]
  Compare 39 and -24
  Swap 39 and -24
  List after swap: [-78, 2, -97, -6, 17, -26, -24, 39, -70, 83]
  Compare 39 and -70
  Swap 39 and -70
  List after swap: [-78, 2, -97, -6, 17, -26, -24, -70, 39, 83]

Pass 3:
  Compare -78 and 2
  No swap needed
  Compare 2 and -97
  Swap 2 and -97
  List after swap: [-78, -97, 2, -6, 17, -26, -24, -70, 39, 83]
  Compare 2 and -6
  Swap 2 and -6
  List after swap: [-78, -97, -6, 2, 17, -26, -24, -70, 39, 83]
  Compare 2 and 17
  No swap needed
  Compare 17 and -26
  Swap 17 and -26
  List after swap: [-78, -97, -6, 2, -26, 17, -24, -70, 39, 83]
  Compare 17 and -24
  Swap 17 and -24
  List after swap: [-78, -97, -6, 2, -26, -24, 17, -70, 39, 83]
  Compare 17 and -70
  Swap 17 and -70
  List after swap: [-78, -97, -6, 2, -26, -24, -70, 17, 39, 83]

Pass 4:
  Compare -78 and -97
  Swap -78 and -97
  List after swap: [-97, -78, -6, 2, -26, -24, -70, 17, 39, 83]
  Compare -78 and -6
  No swap needed
  Compare -6 and 2
  No swap needed
  Compare 2 and -26
  Swap 2 and -26
  List after swap: [-97, -78, -6, -26, 2, -24, -70, 17, 39, 83]
  Compare 2 and -24
  Swap 2 and -24
  List after swap: [-97, -78, -6, -26, -24, 2, -70, 17, 39, 83]
  Compare 2 and -70
  Swap 2 and -70
  List after swap: [-97, -78, -6, -26, -24, -70, 2, 17, 39, 83]

Pass 5:
  Compare -97 and -78
  No swap needed
  Compare -78 and -6
  No swap needed
  Compare -6 and -26
  Swap -6 and -26
  List after swap: [-97, -78, -26, -6, -24, -70, 2, 17, 39, 83]
  Compare -6 and -24
  Swap -6 and -24
  List after swap: [-97, -78, -26, -24, -6, -70, 2, 17, 39, 83]
  Compare -6 and -70
  Swap -6 and -70
  List after swap: [-97, -78, -26, -24, -70, -6, 2, 17, 39, 83]

Pass 6:
  Compare -97 and -78
  No swap needed
  Compare -78 and -26
  No swap needed
  Compare -26 and -24
  No swap needed
  Compare -24 and -70
  Swap -24 and -70
  List after swap: [-97, -78, -26, -70, -24, -6, 2, 17, 39, 83]

Pass 7:
  Compare -97 and -78
  No swap needed
  Compare -78 and -26
  No swap needed
  Compare -26 and -70
  Swap -26 and -70
  List after swap: [-97, -78, -70, -26, -24, -6, 2, 17, 39, 83]

Pass 8:
  Compare -97 and -78
  No swap needed
  Compare -78 and -70
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -78, -70, -26, -24, -6, 2, 17, 39, 83]
</think>

<response>-97, -78, -70, -26, -24, -6, 2, 17, 39, 83</response>


input: Carry out the bubble sort algorithm on 85, -19, 61, -49, -18 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [85, -19, 61, -49, -18]

Pass 1:
  Compare 85 and -19
  Swap 85 and -19
  List after swap: [-19, 85, 61, -49, -18]
  Compare 85 and 61
  Swap 85 and 61
  List after swap: [-19, 61, 85, -49, -18]
  Compare 85 and -49
  Swap 85 and -49
  List after swap: [-19, 61, -49, 85, -18]
  Compare 85 and -18
  Swap 85 and -18
  List after swap: [-19, 61, -49, -18, 85]

Pass 2:
  Compare -19 and 61
  No swap needed
  Compare 61 and -49
  Swap 61 and -49
  List after swap: [-19, -49, 61, -18, 85]
  Compare 61 and -18
  Swap 61 and -18
  List after swap: [-19, -49, -18, 61, 85]

Pass 3:
  Compare -19 and -49
  Swap -19 and -49
  List after swap: [-49, -19, -18, 61, 85]
  Compare -19 and -18
  No swap needed

Pass 4:
  Compare -49 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-49, -19, -18, 61, 85]
</think>

<response>-49, -19, -18, 61, 85</response>


input: Sort these integers -41, 19, -76 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-41, 19, -76]

Pass 1:
  Compare -41 and 19
  No swap needed
  Compare 19 and -76
  Swap 19 and -76
  List after swap: [-41, -76, 19]

Pass 2:
  Compare -41 and -76
  Swap -41 and -76
  List after swap: [-76, -41, 19]

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

Final sorted list: [-76, -41, 19]
</think>

<response>-76, -41, 19</response>


input: Sort the list -93, 20, -20, -85 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-93, 20, -20, -85]

Pass 1:
  Compare -93 and 20
  No swap needed
  Compare 20 and -20
  Swap 20 and -20
  List after swap: [-93, -20, 20, -85]
  Compare 20 and -85
  Swap 20 and -85
  List after swap: [-93, -20, -85, 20]

Pass 2:
  Compare -93 and -20
  No swap needed
  Compare -20 and -85
  Swap -20 and -85
  List after swap: [-93, -85, -20, 20]

Pass 3:
  Compare -93 and -85
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -85, -20, 20]
</think>

<response>-93, -85, -20, 20</response>


input: Execute bubble sort to sort 11, -35, -16, -30, 96, -13, -54, -74, -68, 87 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [11, -35, -16, -30, 96, -13, -54, -74, -68, 87]

Pass 1:
  Compare 11 and -35
  Swap 11 and -35
  List after swap: [-35, 11, -16, -30, 96, -13, -54, -74, -68, 87]
  Compare 11 and -16
  Swap 11 and -16
  List after swap: [-35, -16, 11, -30, 96, -13, -54, -74, -68, 87]
  Compare 11 and -30
  Swap 11 and -30
  List after swap: [-35, -16, -30, 11, 96, -13, -54, -74, -68, 87]
  Compare 11 and 96
  No swap needed
  Compare 96 and -13
  Swap 96 and -13
  List after swap: [-35, -16, -30, 11, -13, 96, -54, -74, -68, 87]
  Compare 96 and -54
  Swap 96 and -54
  List after swap: [-35, -16, -30, 11, -13, -54, 96, -74, -68, 87]
  Compare 96 and -74
  Swap 96 and -74
  List after swap: [-35, -16, -30, 11, -13, -54, -74, 96, -68, 87]
  Compare 96 and -68
  Swap 96 and -68
  List after swap: [-35, -16, -30, 11, -13, -54, -74, -68, 96, 87]
  Compare 96 and 87
  Swap 96 and 87
  List after swap: [-35, -16, -30, 11, -13, -54, -74, -68, 87, 96]

Pass 2:
  Compare -35 and -16
  No swap needed
  Compare -16 and -30
  Swap -16 and -30
  List after swap: [-35, -30, -16, 11, -13, -54, -74, -68, 87, 96]
  Compare -16 and 11
  No swap needed
  Compare 11 and -13
  Swap 11 and -13
  List after swap: [-35, -30, -16, -13, 11, -54, -74, -68, 87, 96]
  Compare 11 and -54
  Swap 11 and -54
  List after swap: [-35, -30, -16, -13, -54, 11, -74, -68, 87, 96]
  Compare 11 and -74
  Swap 11 and -74
  List after swap: [-35, -30, -16, -13, -54, -74, 11, -68, 87, 96]
  Compare 11 and -68
  Swap 11 and -68
  List after swap: [-35, -30, -16, -13, -54, -74, -68, 11, 87, 96]
  Compare 11 and 87
  No swap needed

Pass 3:
  Compare -35 and -30
  No swap needed
  Compare -30 and -16
  No swap needed
  Compare -16 and -13
  No swap needed
  Compare -13 and -54
  Swap -13 and -54
  List after swap: [-35, -30, -16, -54, -13, -74, -68, 11, 87, 96]
  Compare -13 and -74
  Swap -13 and -74
  List after swap: [-35, -30, -16, -54, -74, -13, -68, 11, 87, 96]
  Compare -13 and -68
  Swap -13 and -68
  List after swap: [-35, -30, -16, -54, -74, -68, -13, 11, 87, 96]
  Compare -13 and 11
  No swap needed

Pass 4:
  Compare -35 and -30
  No swap needed
  Compare -30 and -16
  No swap needed
  Compare -16 and -54
  Swap -16 and -54
  List after swap: [-35, -30, -54, -16, -74, -68, -13, 11, 87, 96]
  Compare -16 and -74
  Swap -16 and -74
  List after swap: [-35, -30, -54, -74, -16, -68, -13, 11, 87, 96]
  Compare -16 and -68
  Swap -16 and -68
  List after swap: [-35, -30, -54, -74, -68, -16, -13, 11, 87, 96]
  Compare -16 and -13
  No swap needed

Pass 5:
  Compare -35 and -30
  No swap needed
  Compare -30 and -54
  Swap -30 and -54
  List after swap: [-35, -54, -30, -74, -68, -16, -13, 11, 87, 96]
  Compare -30 and -74
  Swap -30 and -74
  List after swap: [-35, -54, -74, -30, -68, -16, -13, 11, 87, 96]
  Compare -30 and -68
  Swap -30 and -68
  List after swap: [-35, -54, -74, -68, -30, -16, -13, 11, 87, 96]
  Compare -30 and -16
  No swap needed

Pass 6:
  Compare -35 and -54
  Swap -35 and -54
  List after swap: [-54, -35, -74, -68, -30, -16, -13, 11, 87, 96]
  Compare -35 and -74
  Swap -35 and -74
  List after swap: [-54, -74, -35, -68, -30, -16, -13, 11, 87, 96]
  Compare -35 and -68
  Swap -35 and -68
  List after swap: [-54, -74, -68, -35, -30, -16, -13, 11, 87, 96]
  Compare -35 and -30
  No swap needed

Pass 7:
  Compare -54 and -74
  Swap -54 and -74
  List after swap: [-74, -54, -68, -35, -30, -16, -13, 11, 87, 96]
  Compare -54 and -68
  Swap -54 and -68
  List after swap: [-74, -68, -54, -35, -30, -16, -13, 11, 87, 96]
  Compare -54 and -35
  No swap needed

Pass 8:
  Compare -74 and -68
  No swap needed
  Compare -68 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -68, -54, -35, -30, -16, -13, 11, 87, 96]
</think>

<response>-74, -68, -54, -35, -30, -16, -13, 11, 87, 96</response>


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

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

Pass 1:
  Compare 36 and -61
  Swap 36 and -61
  List after swap: [-61, 36]

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

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

<response>-61, 36</response>


input: Carry out the bubble sort algorithm on -19, 83, 75, -20 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-19, 83, 75, -20]

Pass 1:
  Compare -19 and 83
  No swap needed
  Compare 83 and 75
  Swap 83 and 75
  List after swap: [-19, 75, 83, -20]
  Compare 83 and -20
  Swap 83 and -20
  List after swap: [-19, 75, -20, 83]

Pass 2:
  Compare -19 and 75
  No swap needed
  Compare 75 and -20
  Swap 75 and -20
  List after swap: [-19, -20, 75, 83]

Pass 3:
  Compare -19 and -20
  Swap -19 and -20
  List after swap: [-20, -19, 75, 83]

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

Final sorted list: [-20, -19, 75, 83]
</think>

<response>-20, -19, 75, 83</response>


input: Demonstrate how bubble sort orders the integers -69, -62 in ascending sequence, showing all steps.

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

Pass 1:
  Compare -69 and -62
  No swap needed
  No swaps in this pass, list is sorted.

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

<response>-69, -62</response>


input: Sort these integers -92, -51, -82, 51, 17, -79 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-92, -51, -82, 51, 17, -79]

Pass 1:
  Compare -92 and -51
  No swap needed
  Compare -51 and -82
  Swap -51 and -82
  List after swap: [-92, -82, -51, 51, 17, -79]
  Compare -51 and 51
  No swap needed
  Compare 51 and 17
  Swap 51 and 17
  List after swap: [-92, -82, -51, 17, 51, -79]
  Compare 51 and -79
  Swap 51 and -79
  List after swap: [-92, -82, -51, 17, -79, 51]

Pass 2:
  Compare -92 and -82
  No swap needed
  Compare -82 and -51
  No swap needed
  Compare -51 and 17
  No swap needed
  Compare 17 and -79
  Swap 17 and -79
  List after swap: [-92, -82, -51, -79, 17, 51]

Pass 3:
  Compare -92 and -82
  No swap needed
  Compare -82 and -51
  No swap needed
  Compare -51 and -79
  Swap -51 and -79
  List after swap: [-92, -82, -79, -51, 17, 51]

Pass 4:
  Compare -92 and -82
  No swap needed
  Compare -82 and -79
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -82, -79, -51, 17, 51]
</think>

<response>-92, -82, -79, -51, 17, 51</response>


input: Execute bubble sort to sort -97, -24, 71, -18, 58, 54, 11, -36, 21, -76 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-97, -24, 71, -18, 58, 54, 11, -36, 21, -76]

Pass 1:
  Compare -97 and -24
  No swap needed
  Compare -24 and 71
  No swap needed
  Compare 71 and -18
  Swap 71 and -18
  List after swap: [-97, -24, -18, 71, 58, 54, 11, -36, 21, -76]
  Compare 71 and 58
  Swap 71 and 58
  List after swap: [-97, -24, -18, 58, 71, 54, 11, -36, 21, -76]
  Compare 71 and 54
  Swap 71 and 54
  List after swap: [-97, -24, -18, 58, 54, 71, 11, -36, 21, -76]
  Compare 71 and 11
  Swap 71 and 11
  List after swap: [-97, -24, -18, 58, 54, 11, 71, -36, 21, -76]
  Compare 71 and -36
  Swap 71 and -36
  List after swap: [-97, -24, -18, 58, 54, 11, -36, 71, 21, -76]
  Compare 71 and 21
  Swap 71 and 21
  List after swap: [-97, -24, -18, 58, 54, 11, -36, 21, 71, -76]
  Compare 71 and -76
  Swap 71 and -76
  List after swap: [-97, -24, -18, 58, 54, 11, -36, 21, -76, 71]

Pass 2:
  Compare -97 and -24
  No swap needed
  Compare -24 and -18
  No swap needed
  Compare -18 and 58
  No swap needed
  Compare 58 and 54
  Swap 58 and 54
  List after swap: [-97, -24, -18, 54, 58, 11, -36, 21, -76, 71]
  Compare 58 and 11
  Swap 58 and 11
  List after swap: [-97, -24, -18, 54, 11, 58, -36, 21, -76, 71]
  Compare 58 and -36
  Swap 58 and -36
  List after swap: [-97, -24, -18, 54, 11, -36, 58, 21, -76, 71]
  Compare 58 and 21
  Swap 58 and 21
  List after swap: [-97, -24, -18, 54, 11, -36, 21, 58, -76, 71]
  Compare 58 and -76
  Swap 58 and -76
  List after swap: [-97, -24, -18, 54, 11, -36, 21, -76, 58, 71]

Pass 3:
  Compare -97 and -24
  No swap needed
  Compare -24 and -18
  No swap needed
  Compare -18 and 54
  No swap needed
  Compare 54 and 11
  Swap 54 and 11
  List after swap: [-97, -24, -18, 11, 54, -36, 21, -76, 58, 71]
  Compare 54 and -36
  Swap 54 and -36
  List after swap: [-97, -24, -18, 11, -36, 54, 21, -76, 58, 71]
  Compare 54 and 21
  Swap 54 and 21
  List after swap: [-97, -24, -18, 11, -36, 21, 54, -76, 58, 71]
  Compare 54 and -76
  Swap 54 and -76
  List after swap: [-97, -24, -18, 11, -36, 21, -76, 54, 58, 71]

Pass 4:
  Compare -97 and -24
  No swap needed
  Compare -24 and -18
  No swap needed
  Compare -18 and 11
  No swap needed
  Compare 11 and -36
  Swap 11 and -36
  List after swap: [-97, -24, -18, -36, 11, 21, -76, 54, 58, 71]
  Compare 11 and 21
  No swap needed
  Compare 21 and -76
  Swap 21 and -76
  List after swap: [-97, -24, -18, -36, 11, -76, 21, 54, 58, 71]

Pass 5:
  Compare -97 and -24
  No swap needed
  Compare -24 and -18
  No swap needed
  Compare -18 and -36
  Swap -18 and -36
  List after swap: [-97, -24, -36, -18, 11, -76, 21, 54, 58, 71]
  Compare -18 and 11
  No swap needed
  Compare 11 and -76
  Swap 11 and -76
  List after swap: [-97, -24, -36, -18, -76, 11, 21, 54, 58, 71]

Pass 6:
  Compare -97 and -24
  No swap needed
  Compare -24 and -36
  Swap -24 and -36
  List after swap: [-97, -36, -24, -18, -76, 11, 21, 54, 58, 71]
  Compare -24 and -18
  No swap needed
  Compare -18 and -76
  Swap -18 and -76
  List after swap: [-97, -36, -24, -76, -18, 11, 21, 54, 58, 71]

Pass 7:
  Compare -97 and -36
  No swap needed
  Compare -36 and -24
  No swap needed
  Compare -24 and -76
  Swap -24 and -76
  List after swap: [-97, -36, -76, -24, -18, 11, 21, 54, 58, 71]

Pass 8:
  Compare -97 and -36
  No swap needed
  Compare -36 and -76
  Swap -36 and -76
  List after swap: [-97, -76, -36, -24, -18, 11, 21, 54, 58, 71]

Pass 9:
  Compare -97 and -76
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -76, -36, -24, -18, 11, 21, 54, 58, 71]
</think>

<response>-97, -76, -36, -24, -18, 11, 21, 54, 58, 71</response>


input: Using the bubble sort method, sort -99, 54 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-99, 54]

Pass 1:
  Compare -99 and 54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, 54]
</think>

<response>-99, 54</response>


input: Execute bubble sort to sort 58, 48, 23, 30, 14, -24 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [58, 48, 23, 30, 14, -24]

Pass 1:
  Compare 58 and 48
  Swap 58 and 48
  List after swap: [48, 58, 23, 30, 14, -24]
  Compare 58 and 23
  Swap 58 and 23
  List after swap: [48, 23, 58, 30, 14, -24]
  Compare 58 and 30
  Swap 58 and 30
  List after swap: [48, 23, 30, 58, 14, -24]
  Compare 58 and 14
  Swap 58 and 14
  List after swap: [48, 23, 30, 14, 58, -24]
  Compare 58 and -24
  Swap 58 and -24
  List after swap: [48, 23, 30, 14, -24, 58]

Pass 2:
  Compare 48 and 23
  Swap 48 and 23
  List after swap: [23, 48, 30, 14, -24, 58]
  Compare 48 and 30
  Swap 48 and 30
  List after swap: [23, 30, 48, 14, -24, 58]
  Compare 48 and 14
  Swap 48 and 14
  List after swap: [23, 30, 14, 48, -24, 58]
  Compare 48 and -24
  Swap 48 and -24
  List after swap: [23, 30, 14, -24, 48, 58]

Pass 3:
  Compare 23 and 30
  No swap needed
  Compare 30 and 14
  Swap 30 and 14
  List after swap: [23, 14, 30, -24, 48, 58]
  Compare 30 and -24
  Swap 30 and -24
  List after swap: [23, 14, -24, 30, 48, 58]

Pass 4:
  Compare 23 and 14
  Swap 23 and 14
  List after swap: [14, 23, -24, 30, 48, 58]
  Compare 23 and -24
  Swap 23 and -24
  List after swap: [14, -24, 23, 30, 48, 58]

Pass 5:
  Compare 14 and -24
  Swap 14 and -24
  List after swap: [-24, 14, 23, 30, 48, 58]

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

Final sorted list: [-24, 14, 23, 30, 48, 58]
</think>

<response>-24, 14, 23, 30, 48, 58</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 60, 54.

output:
<think>
Initial list: [60, 54]

Pass 1:
  Compare 60 and 54
  Swap 60 and 54
  List after swap: [54, 60]

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

Final sorted list: [54, 60]
</think>

<response>54, 60</response>


input: Using the bubble sort method, sort -78, 11, -95, -94, -72, 58, 94, -93 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-78, 11, -95, -94, -72, 58, 94, -93]

Pass 1:
  Compare -78 and 11
  No swap needed
  Compare 11 and -95
  Swap 11 and -95
  List after swap: [-78, -95, 11, -94, -72, 58, 94, -93]
  Compare 11 and -94
  Swap 11 and -94
  List after swap: [-78, -95, -94, 11, -72, 58, 94, -93]
  Compare 11 and -72
  Swap 11 and -72
  List after swap: [-78, -95, -94, -72, 11, 58, 94, -93]
  Compare 11 and 58
  No swap needed
  Compare 58 and 94
  No swap needed
  Compare 94 and -93
  Swap 94 and -93
  List after swap: [-78, -95, -94, -72, 11, 58, -93, 94]

Pass 2:
  Compare -78 and -95
  Swap -78 and -95
  List after swap: [-95, -78, -94, -72, 11, 58, -93, 94]
  Compare -78 and -94
  Swap -78 and -94
  List after swap: [-95, -94, -78, -72, 11, 58, -93, 94]
  Compare -78 and -72
  No swap needed
  Compare -72 and 11
  No swap needed
  Compare 11 and 58
  No swap needed
  Compare 58 and -93
  Swap 58 and -93
  List after swap: [-95, -94, -78, -72, 11, -93, 58, 94]

Pass 3:
  Compare -95 and -94
  No swap needed
  Compare -94 and -78
  No swap needed
  Compare -78 and -72
  No swap needed
  Compare -72 and 11
  No swap needed
  Compare 11 and -93
  Swap 11 and -93
  List after swap: [-95, -94, -78, -72, -93, 11, 58, 94]

Pass 4:
  Compare -95 and -94
  No swap needed
  Compare -94 and -78
  No swap needed
  Compare -78 and -72
  No swap needed
  Compare -72 and -93
  Swap -72 and -93
  List after swap: [-95, -94, -78, -93, -72, 11, 58, 94]

Pass 5:
  Compare -95 and -94
  No swap needed
  Compare -94 and -78
  No swap needed
  Compare -78 and -93
  Swap -78 and -93
  List after swap: [-95, -94, -93, -78, -72, 11, 58, 94]

Pass 6:
  Compare -95 and -94
  No swap needed
  Compare -94 and -93
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -94, -93, -78, -72, 11, 58, 94]
</think>

<response>-95, -94, -93, -78, -72, 11, 58, 94</response>


input: Sort these integers 98, 12, 97, -87, -51, -99, 83, 32, -74, -22 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [98, 12, 97, -87, -51, -99, 83, 32, -74, -22]

Pass 1:
  Compare 98 and 12
  Swap 98 and 12
  List after swap: [12, 98, 97, -87, -51, -99, 83, 32, -74, -22]
  Compare 98 and 97
  Swap 98 and 97
  List after swap: [12, 97, 98, -87, -51, -99, 83, 32, -74, -22]
  Compare 98 and -87
  Swap 98 and -87
  List after swap: [12, 97, -87, 98, -51, -99, 83, 32, -74, -22]
  Compare 98 and -51
  Swap 98 and -51
  List after swap: [12, 97, -87, -51, 98, -99, 83, 32, -74, -22]
  Compare 98 and -99
  Swap 98 and -99
  List after swap: [12, 97, -87, -51, -99, 98, 83, 32, -74, -22]
  Compare 98 and 83
  Swap 98 and 83
  List after swap: [12, 97, -87, -51, -99, 83, 98, 32, -74, -22]
  Compare 98 and 32
  Swap 98 and 32
  List after swap: [12, 97, -87, -51, -99, 83, 32, 98, -74, -22]
  Compare 98 and -74
  Swap 98 and -74
  List after swap: [12, 97, -87, -51, -99, 83, 32, -74, 98, -22]
  Compare 98 and -22
  Swap 98 and -22
  List after swap: [12, 97, -87, -51, -99, 83, 32, -74, -22, 98]

Pass 2:
  Compare 12 and 97
  No swap needed
  Compare 97 and -87
  Swap 97 and -87
  List after swap: [12, -87, 97, -51, -99, 83, 32, -74, -22, 98]
  Compare 97 and -51
  Swap 97 and -51
  List after swap: [12, -87, -51, 97, -99, 83, 32, -74, -22, 98]
  Compare 97 and -99
  Swap 97 and -99
  List after swap: [12, -87, -51, -99, 97, 83, 32, -74, -22, 98]
  Compare 97 and 83
  Swap 97 and 83
  List after swap: [12, -87, -51, -99, 83, 97, 32, -74, -22, 98]
  Compare 97 and 32
  Swap 97 and 32
  List after swap: [12, -87, -51, -99, 83, 32, 97, -74, -22, 98]
  Compare 97 and -74
  Swap 97 and -74
  List after swap: [12, -87, -51, -99, 83, 32, -74, 97, -22, 98]
  Compare 97 and -22
  Swap 97 and -22
  List after swap: [12, -87, -51, -99, 83, 32, -74, -22, 97, 98]

Pass 3:
  Compare 12 and -87
  Swap 12 and -87
  List after swap: [-87, 12, -51, -99, 83, 32, -74, -22, 97, 98]
  Compare 12 and -51
  Swap 12 and -51
  List after swap: [-87, -51, 12, -99, 83, 32, -74, -22, 97, 98]
  Compare 12 and -99
  Swap 12 and -99
  List after swap: [-87, -51, -99, 12, 83, 32, -74, -22, 97, 98]
  Compare 12 and 83
  No swap needed
  Compare 83 and 32
  Swap 83 and 32
  List after swap: [-87, -51, -99, 12, 32, 83, -74, -22, 97, 98]
  Compare 83 and -74
  Swap 83 and -74
  List after swap: [-87, -51, -99, 12, 32, -74, 83, -22, 97, 98]
  Compare 83 and -22
  Swap 83 and -22
  List after swap: [-87, -51, -99, 12, 32, -74, -22, 83, 97, 98]

Pass 4:
  Compare -87 and -51
  No swap needed
  Compare -51 and -99
  Swap -51 and -99
  List after swap: [-87, -99, -51, 12, 32, -74, -22, 83, 97, 98]
  Compare -51 and 12
  No swap needed
  Compare 12 and 32
  No swap needed
  Compare 32 and -74
  Swap 32 and -74
  List after swap: [-87, -99, -51, 12, -74, 32, -22, 83, 97, 98]
  Compare 32 and -22
  Swap 32 and -22
  List after swap: [-87, -99, -51, 12, -74, -22, 32, 83, 97, 98]

Pass 5:
  Compare -87 and -99
  Swap -87 and -99
  List after swap: [-99, -87, -51, 12, -74, -22, 32, 83, 97, 98]
  Compare -87 and -51
  No swap needed
  Compare -51 and 12
  No swap needed
  Compare 12 and -74
  Swap 12 and -74
  List after swap: [-99, -87, -51, -74, 12, -22, 32, 83, 97, 98]
  Compare 12 and -22
  Swap 12 and -22
  List after swap: [-99, -87, -51, -74, -22, 12, 32, 83, 97, 98]

Pass 6:
  Compare -99 and -87
  No swap needed
  Compare -87 and -51
  No swap needed
  Compare -51 and -74
  Swap -51 and -74
  List after swap: [-99, -87, -74, -51, -22, 12, 32, 83, 97, 98]
  Compare -51 and -22
  No swap needed

Pass 7:
  Compare -99 and -87
  No swap needed
  Compare -87 and -74
  No swap needed
  Compare -74 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -87, -74, -51, -22, 12, 32, 83, 97, 98]
</think>

<response>-99, -87, -74, -51, -22, 12, 32, 83, 97, 98</response>


input: Sort the list -60, 35, -26, 41, 56, -29, 73 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-60, 35, -26, 41, 56, -29, 73]

Pass 1:
  Compare -60 and 35
  No swap needed
  Compare 35 and -26
  Swap 35 and -26
  List after swap: [-60, -26, 35, 41, 56, -29, 73]
  Compare 35 and 41
  No swap needed
  Compare 41 and 56
  No swap needed
  Compare 56 and -29
  Swap 56 and -29
  List after swap: [-60, -26, 35, 41, -29, 56, 73]
  Compare 56 and 73
  No swap needed

Pass 2:
  Compare -60 and -26
  No swap needed
  Compare -26 and 35
  No swap needed
  Compare 35 and 41
  No swap needed
  Compare 41 and -29
  Swap 41 and -29
  List after swap: [-60, -26, 35, -29, 41, 56, 73]
  Compare 41 and 56
  No swap needed

Pass 3:
  Compare -60 and -26
  No swap needed
  Compare -26 and 35
  No swap needed
  Compare 35 and -29
  Swap 35 and -29
  List after swap: [-60, -26, -29, 35, 41, 56, 73]
  Compare 35 and 41
  No swap needed

Pass 4:
  Compare -60 and -26
  No swap needed
  Compare -26 and -29
  Swap -26 and -29
  List after swap: [-60, -29, -26, 35, 41, 56, 73]
  Compare -26 and 35
  No swap needed

Pass 5:
  Compare -60 and -29
  No swap needed
  Compare -29 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-60, -29, -26, 35, 41, 56, 73]
</think>

<response>-60, -29, -26, 35, 41, 56, 73</response>


input: Execute bubble sort to sort 89, 40, 81, 44, 63, -77, -99, -96, 72, -42 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [89, 40, 81, 44, 63, -77, -99, -96, 72, -42]

Pass 1:
  Compare 89 and 40
  Swap 89 and 40
  List after swap: [40, 89, 81, 44, 63, -77, -99, -96, 72, -42]
  Compare 89 and 81
  Swap 89 and 81
  List after swap: [40, 81, 89, 44, 63, -77, -99, -96, 72, -42]
  Compare 89 and 44
  Swap 89 and 44
  List after swap: [40, 81, 44, 89, 63, -77, -99, -96, 72, -42]
  Compare 89 and 63
  Swap 89 and 63
  List after swap: [40, 81, 44, 63, 89, -77, -99, -96, 72, -42]
  Compare 89 and -77
  Swap 89 and -77
  List after swap: [40, 81, 44, 63, -77, 89, -99, -96, 72, -42]
  Compare 89 and -99
  Swap 89 and -99
  List after swap: [40, 81, 44, 63, -77, -99, 89, -96, 72, -42]
  Compare 89 and -96
  Swap 89 and -96
  List after swap: [40, 81, 44, 63, -77, -99, -96, 89, 72, -42]
  Compare 89 and 72
  Swap 89 and 72
  List after swap: [40, 81, 44, 63, -77, -99, -96, 72, 89, -42]
  Compare 89 and -42
  Swap 89 and -42
  List after swap: [40, 81, 44, 63, -77, -99, -96, 72, -42, 89]

Pass 2:
  Compare 40 and 81
  No swap needed
  Compare 81 and 44
  Swap 81 and 44
  List after swap: [40, 44, 81, 63, -77, -99, -96, 72, -42, 89]
  Compare 81 and 63
  Swap 81 and 63
  List after swap: [40, 44, 63, 81, -77, -99, -96, 72, -42, 89]
  Compare 81 and -77
  Swap 81 and -77
  List after swap: [40, 44, 63, -77, 81, -99, -96, 72, -42, 89]
  Compare 81 and -99
  Swap 81 and -99
  List after swap: [40, 44, 63, -77, -99, 81, -96, 72, -42, 89]
  Compare 81 and -96
  Swap 81 and -96
  List after swap: [40, 44, 63, -77, -99, -96, 81, 72, -42, 89]
  Compare 81 and 72
  Swap 81 and 72
  List after swap: [40, 44, 63, -77, -99, -96, 72, 81, -42, 89]
  Compare 81 and -42
  Swap 81 and -42
  List after swap: [40, 44, 63, -77, -99, -96, 72, -42, 81, 89]

Pass 3:
  Compare 40 and 44
  No swap needed
  Compare 44 and 63
  No swap needed
  Compare 63 and -77
  Swap 63 and -77
  List after swap: [40, 44, -77, 63, -99, -96, 72, -42, 81, 89]
  Compare 63 and -99
  Swap 63 and -99
  List after swap: [40, 44, -77, -99, 63, -96, 72, -42, 81, 89]
  Compare 63 and -96
  Swap 63 and -96
  List after swap: [40, 44, -77, -99, -96, 63, 72, -42, 81, 89]
  Compare 63 and 72
  No swap needed
  Compare 72 and -42
  Swap 72 and -42
  List after swap: [40, 44, -77, -99, -96, 63, -42, 72, 81, 89]

Pass 4:
  Compare 40 and 44
  No swap needed
  Compare 44 and -77
  Swap 44 and -77
  List after swap: [40, -77, 44, -99, -96, 63, -42, 72, 81, 89]
  Compare 44 and -99
  Swap 44 and -99
  List after swap: [40, -77, -99, 44, -96, 63, -42, 72, 81, 89]
  Compare 44 and -96
  Swap 44 and -96
  List after swap: [40, -77, -99, -96, 44, 63, -42, 72, 81, 89]
  Compare 44 and 63
  No swap needed
  Compare 63 and -42
  Swap 63 and -42
  List after swap: [40, -77, -99, -96, 44, -42, 63, 72, 81, 89]

Pass 5:
  Compare 40 and -77
  Swap 40 and -77
  List after swap: [-77, 40, -99, -96, 44, -42, 63, 72, 81, 89]
  Compare 40 and -99
  Swap 40 and -99
  List after swap: [-77, -99, 40, -96, 44, -42, 63, 72, 81, 89]
  Compare 40 and -96
  Swap 40 and -96
  List after swap: [-77, -99, -96, 40, 44, -42, 63, 72, 81, 89]
  Compare 40 and 44
  No swap needed
  Compare 44 and -42
  Swap 44 and -42
  List after swap: [-77, -99, -96, 40, -42, 44, 63, 72, 81, 89]

Pass 6:
  Compare -77 and -99
  Swap -77 and -99
  List after swap: [-99, -77, -96, 40, -42, 44, 63, 72, 81, 89]
  Compare -77 and -96
  Swap -77 and -96
  List after swap: [-99, -96, -77, 40, -42, 44, 63, 72, 81, 89]
  Compare -77 and 40
  No swap needed
  Compare 40 and -42
  Swap 40 and -42
  List after swap: [-99, -96, -77, -42, 40, 44, 63, 72, 81, 89]

Pass 7:
  Compare -99 and -96
  No swap needed
  Compare -96 and -77
  No swap needed
  Compare -77 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -96, -77, -42, 40, 44, 63, 72, 81, 89]
</think>

<response>-99, -96, -77, -42, 40, 44, 63, 72, 81, 89</response>


input: Using the bubble sort method, sort -25, -32, 6 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-25, -32, 6]

Pass 1:
  Compare -25 and -32
  Swap -25 and -32
  List after swap: [-32, -25, 6]
  Compare -25 and 6
  No swap needed

Pass 2:
  Compare -32 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-32, -25, 6]
</think>

<response>-32, -25, 6</response>


input: Using the bubble sort method, sort 9, 67, 88, -3, 2, 98, -6, 48, -2, -76 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [9, 67, 88, -3, 2, 98, -6, 48, -2, -76]

Pass 1:
  Compare 9 and 67
  No swap needed
  Compare 67 and 88
  No swap needed
  Compare 88 and -3
  Swap 88 and -3
  List after swap: [9, 67, -3, 88, 2, 98, -6, 48, -2, -76]
  Compare 88 and 2
  Swap 88 and 2
  List after swap: [9, 67, -3, 2, 88, 98, -6, 48, -2, -76]
  Compare 88 and 98
  No swap needed
  Compare 98 and -6
  Swap 98 and -6
  List after swap: [9, 67, -3, 2, 88, -6, 98, 48, -2, -76]
  Compare 98 and 48
  Swap 98 and 48
  List after swap: [9, 67, -3, 2, 88, -6, 48, 98, -2, -76]
  Compare 98 and -2
  Swap 98 and -2
  List after swap: [9, 67, -3, 2, 88, -6, 48, -2, 98, -76]
  Compare 98 and -76
  Swap 98 and -76
  List after swap: [9, 67, -3, 2, 88, -6, 48, -2, -76, 98]

Pass 2:
  Compare 9 and 67
  No swap needed
  Compare 67 and -3
  Swap 67 and -3
  List after swap: [9, -3, 67, 2, 88, -6, 48, -2, -76, 98]
  Compare 67 and 2
  Swap 67 and 2
  List after swap: [9, -3, 2, 67, 88, -6, 48, -2, -76, 98]
  Compare 67 and 88
  No swap needed
  Compare 88 and -6
  Swap 88 and -6
  List after swap: [9, -3, 2, 67, -6, 88, 48, -2, -76, 98]
  Compare 88 and 48
  Swap 88 and 48
  List after swap: [9, -3, 2, 67, -6, 48, 88, -2, -76, 98]
  Compare 88 and -2
  Swap 88 and -2
  List after swap: [9, -3, 2, 67, -6, 48, -2, 88, -76, 98]
  Compare 88 and -76
  Swap 88 and -76
  List after swap: [9, -3, 2, 67, -6, 48, -2, -76, 88, 98]

Pass 3:
  Compare 9 and -3
  Swap 9 and -3
  List after swap: [-3, 9, 2, 67, -6, 48, -2, -76, 88, 98]
  Compare 9 and 2
  Swap 9 and 2
  List after swap: [-3, 2, 9, 67, -6, 48, -2, -76, 88, 98]
  Compare 9 and 67
  No swap needed
  Compare 67 and -6
  Swap 67 and -6
  List after swap: [-3, 2, 9, -6, 67, 48, -2, -76, 88, 98]
  Compare 67 and 48
  Swap 67 and 48
  List after swap: [-3, 2, 9, -6, 48, 67, -2, -76, 88, 98]
  Compare 67 and -2
  Swap 67 and -2
  List after swap: [-3, 2, 9, -6, 48, -2, 67, -76, 88, 98]
  Compare 67 and -76
  Swap 67 and -76
  List after swap: [-3, 2, 9, -6, 48, -2, -76, 67, 88, 98]

Pass 4:
  Compare -3 and 2
  No swap needed
  Compare 2 and 9
  No swap needed
  Compare 9 and -6
  Swap 9 and -6
  List after swap: [-3, 2, -6, 9, 48, -2, -76, 67, 88, 98]
  Compare 9 and 48
  No swap needed
  Compare 48 and -2
  Swap 48 and -2
  List after swap: [-3, 2, -6, 9, -2, 48, -76, 67, 88, 98]
  Compare 48 and -76
  Swap 48 and -76
  List after swap: [-3, 2, -6, 9, -2, -76, 48, 67, 88, 98]

Pass 5:
  Compare -3 and 2
  No swap needed
  Compare 2 and -6
  Swap 2 and -6
  List after swap: [-3, -6, 2, 9, -2, -76, 48, 67, 88, 98]
  Compare 2 and 9
  No swap needed
  Compare 9 and -2
  Swap 9 and -2
  List after swap: [-3, -6, 2, -2, 9, -76, 48, 67, 88, 98]
  Compare 9 and -76
  Swap 9 and -76
  List after swap: [-3, -6, 2, -2, -76, 9, 48, 67, 88, 98]

Pass 6:
  Compare -3 and -6
  Swap -3 and -6
  List after swap: [-6, -3, 2, -2, -76, 9, 48, 67, 88, 98]
  Compare -3 and 2
  No swap needed
  Compare 2 and -2
  Swap 2 and -2
  List after swap: [-6, -3, -2, 2, -76, 9, 48, 67, 88, 98]
  Compare 2 and -76
  Swap 2 and -76
  List after swap: [-6, -3, -2, -76, 2, 9, 48, 67, 88, 98]

Pass 7:
  Compare -6 and -3
  No swap needed
  Compare -3 and -2
  No swap needed
  Compare -2 and -76
  Swap -2 and -76
  List after swap: [-6, -3, -76, -2, 2, 9, 48, 67, 88, 98]

Pass 8:
  Compare -6 and -3
  No swap needed
  Compare -3 and -76
  Swap -3 and -76
  List after swap: [-6, -76, -3, -2, 2, 9, 48, 67, 88, 98]

Pass 9:
  Compare -6 and -76
  Swap -6 and -76
  List after swap: [-76, -6, -3, -2, 2, 9, 48, 67, 88, 98]

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

Final sorted list: [-76, -6, -3, -2, 2, 9, 48, 67, 88, 98]
</think>

<response>-76, -6, -3, -2, 2, 9, 48, 67, 88, 98</response>


input: Using the bubble sort method, sort -93, -51, -1, 12, -37, -43, 21 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-93, -51, -1, 12, -37, -43, 21]

Pass 1:
  Compare -93 and -51
  No swap needed
  Compare -51 and -1
  No swap needed
  Compare -1 and 12
  No swap needed
  Compare 12 and -37
  Swap 12 and -37
  List after swap: [-93, -51, -1, -37, 12, -43, 21]
  Compare 12 and -43
  Swap 12 and -43
  List after swap: [-93, -51, -1, -37, -43, 12, 21]
  Compare 12 and 21
  No swap needed

Pass 2:
  Compare -93 and -51
  No swap needed
  Compare -51 and -1
  No swap needed
  Compare -1 and -37
  Swap -1 and -37
  List after swap: [-93, -51, -37, -1, -43, 12, 21]
  Compare -1 and -43
  Swap -1 and -43
  List after swap: [-93, -51, -37, -43, -1, 12, 21]
  Compare -1 and 12
  No swap needed

Pass 3:
  Compare -93 and -51
  No swap needed
  Compare -51 and -37
  No swap needed
  Compare -37 and -43
  Swap -37 and -43
  List after swap: [-93, -51, -43, -37, -1, 12, 21]
  Compare -37 and -1
  No swap needed

Pass 4:
  Compare -93 and -51
  No swap needed
  Compare -51 and -43
  No swap needed
  Compare -43 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -51, -43, -37, -1, 12, 21]
</think>

<response>-93, -51, -43, -37, -1, 12, 21</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -89, -79, 84, 17, -42.

output:
<think>
Initial list: [-89, -79, 84, 17, -42]

Pass 1:
  Compare -89 and -79
  No swap needed
  Compare -79 and 84
  No swap needed
  Compare 84 and 17
  Swap 84 and 17
  List after swap: [-89, -79, 17, 84, -42]
  Compare 84 and -42
  Swap 84 and -42
  List after swap: [-89, -79, 17, -42, 84]

Pass 2:
  Compare -89 and -79
  No swap needed
  Compare -79 and 17
  No swap needed
  Compare 17 and -42
  Swap 17 and -42
  List after swap: [-89, -79, -42, 17, 84]

Pass 3:
  Compare -89 and -79
  No swap needed
  Compare -79 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -79, -42, 17, 84]
</think>

<response>-89, -79, -42, 17, 84</response>


input: Arrange the numbers -57, 40 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-57, 40]

Pass 1:
  Compare -57 and 40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-57, 40]
</think>

<response>-57, 40</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -20, 17, -53.

output:
<think>
Initial list: [-20, 17, -53]

Pass 1:
  Compare -20 and 17
  No swap needed
  Compare 17 and -53
  Swap 17 and -53
  List after swap: [-20, -53, 17]

Pass 2:
  Compare -20 and -53
  Swap -20 and -53
  List after swap: [-53, -20, 17]

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

Final sorted list: [-53, -20, 17]
</think>

<response>-53, -20, 17</response>


input: Using the bubble sort method, sort -39, 1, -3, -92, 75, 45, -10, -52, -36 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-39, 1, -3, -92, 75, 45, -10, -52, -36]

Pass 1:
  Compare -39 and 1
  No swap needed
  Compare 1 and -3
  Swap 1 and -3
  List after swap: [-39, -3, 1, -92, 75, 45, -10, -52, -36]
  Compare 1 and -92
  Swap 1 and -92
  List after swap: [-39, -3, -92, 1, 75, 45, -10, -52, -36]
  Compare 1 and 75
  No swap needed
  Compare 75 and 45
  Swap 75 and 45
  List after swap: [-39, -3, -92, 1, 45, 75, -10, -52, -36]
  Compare 75 and -10
  Swap 75 and -10
  List after swap: [-39, -3, -92, 1, 45, -10, 75, -52, -36]
  Compare 75 and -52
  Swap 75 and -52
  List after swap: [-39, -3, -92, 1, 45, -10, -52, 75, -36]
  Compare 75 and -36
  Swap 75 and -36
  List after swap: [-39, -3, -92, 1, 45, -10, -52, -36, 75]

Pass 2:
  Compare -39 and -3
  No swap needed
  Compare -3 and -92
  Swap -3 and -92
  List after swap: [-39, -92, -3, 1, 45, -10, -52, -36, 75]
  Compare -3 and 1
  No swap needed
  Compare 1 and 45
  No swap needed
  Compare 45 and -10
  Swap 45 and -10
  List after swap: [-39, -92, -3, 1, -10, 45, -52, -36, 75]
  Compare 45 and -52
  Swap 45 and -52
  List after swap: [-39, -92, -3, 1, -10, -52, 45, -36, 75]
  Compare 45 and -36
  Swap 45 and -36
  List after swap: [-39, -92, -3, 1, -10, -52, -36, 45, 75]

Pass 3:
  Compare -39 and -92
  Swap -39 and -92
  List after swap: [-92, -39, -3, 1, -10, -52, -36, 45, 75]
  Compare -39 and -3
  No swap needed
  Compare -3 and 1
  No swap needed
  Compare 1 and -10
  Swap 1 and -10
  List after swap: [-92, -39, -3, -10, 1, -52, -36, 45, 75]
  Compare 1 and -52
  Swap 1 and -52
  List after swap: [-92, -39, -3, -10, -52, 1, -36, 45, 75]
  Compare 1 and -36
  Swap 1 and -36
  List after swap: [-92, -39, -3, -10, -52, -36, 1, 45, 75]

Pass 4:
  Compare -92 and -39
  No swap needed
  Compare -39 and -3
  No swap needed
  Compare -3 and -10
  Swap -3 and -10
  List after swap: [-92, -39, -10, -3, -52, -36, 1, 45, 75]
  Compare -3 and -52
  Swap -3 and -52
  List after swap: [-92, -39, -10, -52, -3, -36, 1, 45, 75]
  Compare -3 and -36
  Swap -3 and -36
  List after swap: [-92, -39, -10, -52, -36, -3, 1, 45, 75]

Pass 5:
  Compare -92 and -39
  No swap needed
  Compare -39 and -10
  No swap needed
  Compare -10 and -52
  Swap -10 and -52
  List after swap: [-92, -39, -52, -10, -36, -3, 1, 45, 75]
  Compare -10 and -36
  Swap -10 and -36
  List after swap: [-92, -39, -52, -36, -10, -3, 1, 45, 75]

Pass 6:
  Compare -92 and -39
  No swap needed
  Compare -39 and -52
  Swap -39 and -52
  List after swap: [-92, -52, -39, -36, -10, -3, 1, 45, 75]
  Compare -39 and -36
  No swap needed

Pass 7:
  Compare -92 and -52
  No swap needed
  Compare -52 and -39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -52, -39, -36, -10, -3, 1, 45, 75]
</think>

<response>-92, -52, -39, -36, -10, -3, 1, 45, 75</response>


input: Arrange the numbers 18, 94, 50, 24, 16 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [18, 94, 50, 24, 16]

Pass 1:
  Compare 18 and 94
  No swap needed
  Compare 94 and 50
  Swap 94 and 50
  List after swap: [18, 50, 94, 24, 16]
  Compare 94 and 24
  Swap 94 and 24
  List after swap: [18, 50, 24, 94, 16]
  Compare 94 and 16
  Swap 94 and 16
  List after swap: [18, 50, 24, 16, 94]

Pass 2:
  Compare 18 and 50
  No swap needed
  Compare 50 and 24
  Swap 50 and 24
  List after swap: [18, 24, 50, 16, 94]
  Compare 50 and 16
  Swap 50 and 16
  List after swap: [18, 24, 16, 50, 94]

Pass 3:
  Compare 18 and 24
  No swap needed
  Compare 24 and 16
  Swap 24 and 16
  List after swap: [18, 16, 24, 50, 94]

Pass 4:
  Compare 18 and 16
  Swap 18 and 16
  List after swap: [16, 18, 24, 50, 94]

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

Final sorted list: [16, 18, 24, 50, 94]
</think>

<response>16, 18, 24, 50, 94</response>