When a word and number arrangement machine is given an input line of words and numbers, it arranges them following a particular rule. The following is an illustration of input and rearrangement (all numbers are two-digit numbers before performing the operations):

Input: neat bites 23 11 piles your 37 79 give 47

Step I: bts neat 23 11 piles your 37 give 47 83
Step II: gv bts neat 23 11 piles your 37 83 53
Step III: nt gv bts 23 11 piles your 83 53 41
Step IV: pls nt gv bts 11 your 83 53 41 29
Step V: yr pls nt gv bts 83 53 41 29 13

How many elements are there between ‘your’ and ‘83’ in step III of the given arrangement?

Question

When a word and number arrangement machine is given an input line of words and numbers, it arranges them following a particular rule. The following is an illustration of input and rearrangement (all numbers are two-digit numbers before performing the operations):

Input: neat bites 23 11 piles your 37 79 give 47

Step I: bts neat 23 11 piles your 37 give 47 83
Step II: gv bts neat 23 11 piles your 37 83 53
Step III: nt gv bts 23 11 piles your 83 53 41
Step IV: pls nt gv bts 11 your 83 53 41 29
Step V: yr pls nt gv bts 83 53 41 29 13

How many elements are there between ‘your’ and ‘83’ in step III of the given arrangement?

Accepted Answer

**Solution:**

1. The arrangement rule is that words are arranged in alphabetical order on the left side after removing vowels, and numbers are arranged in descending order on the right side.

2. At each step, a new word (with vowels removed) is added to the left of the previous words, and a new number is added to the right of the previous numbers.

3. In Step III, the sequence is:
   - Words: nt gv bts
   - Numbers: 23 11 piles your 83 53 41

4. Observing the sequence, the word 'your' is immediately followed by the number 83, with no elements in between.

**Answer:** None

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