Which element is third to the right of sixth from the right end in step 3 ........

Logical Reasoning(Master ) Input-Output

Directions : Answer the questions on the basis of the information given below.
A number arrangement machine when given an input of words/numbers, rearranges them following a particular rule in each step. The following is an illustration of input and steps of rearrangement.
Input: 59 sun 16 calf 88 27 friend horizon
Step 1: 59 sun 16 88 27 friend horizon calf
Step 2: 59 sun 88 27 friend horizon 16 calf
Step 3: 59 sun 88 27 horizon 16 calf friend
Step 4: 59 sun 88 horizon 16 calf 27 friend
Step 5: 59 sun 88 16 calf 27 friend horizon
Step 6: sun 88 16 calf 27 friend 59 horizon
Step 7: 88 16 calf 27 friend 59 horizon sun
Step 8: 16 calf 27 friend 59 horizon 88 sun
This is the final arrangement and step 8 is the last step for this input.

Input: chair roof 63 table 59 23 floor 46

Which element is third to the right of sixth from the right end in step 3?

roof

chair

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Explanation:

In each step, 1 word/number is taken and appended at last
Words in alphabetical order and numbers in ascending order.
Input: chair roof 63 table 59 23 floor 46
Step 1: roof 63 table 59 23 floor 46 chair
Step 2: roof 63 table 59 floor 46 23 chair
Step 3: roof 63 table 59 46 23 chair floor
Step 4: roof 63 table 59 23 chair 46 floor
Step 5: 63 table 59 23 chair 46 floor roof
Step 6: 63 table 23 chair 46 floor 59 roof
Step 7: 63 23 chair 46 floor 59 roof table
Step 8: 23 chair 46 floor 59 roof 63 table