Decoding the Code Language Pattern

This problem involves a specific type of word coding where letters are rearranged based on a fixed pattern. We need to figure out the rearrangement rule used for the examples 'LIQUID' to 'UDILQI' and 'HANDLE' to 'DELHNA' and then apply it to the word 'NORMAL'.

Step 1: Analyzing the 'LIQUID' Example

Let's number the positions of the letters in 'LIQUID':

L(1) I(2) Q(3) U(4) I(5) D(6)

Now let's look at the coded word 'UDILQI':

U D I L Q I

Comparing the positions, it's not immediately obvious. Let's try the second example.

Step 2: Analyzing the 'HANDLE' Example

Let's number the positions of the letters in 'HANDLE':

H(1) A(2) N(3) D(4) L(5) E(6)

Now let's look at the coded word 'DELHNA':

D E L H N A

Let's see where the original letters moved:

• The 4th letter (D) moved to the 1st position.
• The 6th letter (E) moved to the 2nd position.
• The 5th letter (L) moved to the 3rd position.
• The 1st letter (H) moved to the 4th position.
• The 3rd letter (N) moved to the 5th position.
• The 2nd letter (A) moved to the 6th position.

So, the pattern of position rearrangement is: (4, 6, 5, 1, 3, 2).

Step 3: Verifying the Pattern with 'LIQUID'

Let's apply the pattern (4, 6, 5, 1, 3, 2) to 'LIQUID':

• 1st letter: L(1)
• 2nd letter: I(2)
• 3rd letter: Q(3)
• 4th letter: U(4)
• 5th letter: I(5)
• 6th letter: D(6)

Applying the pattern (4, 6, 5, 1, 3, 2):

• 4th position letter is U
• 6th position letter is D
• 5th position letter is I
• 1st position letter is L
• 3rd position letter is Q
• 2nd position letter is I

Combining these gives 'UDILQI', which matches the first example. The pattern is confirmed.

Step 4: Applying the Pattern to 'NORMAL'

Now, we apply the same rearrangement pattern (4, 6, 5, 1, 3, 2) to the word 'NORMAL'.

Let's number the positions of the letters in 'NORMAL':

N(1) O(2) R(3) M(4) A(5) L(6)

Applying the pattern (4, 6, 5, 1, 3, 2):

• 4th position letter is M
• 6th position letter is L
• 5th position letter is A
• 1st position letter is N
• 3rd position letter is R
• 2nd position letter is O

Combining these letters in the new order gives: MLANRO.

Conclusion

Based on the consistent pattern derived from the examples, the word 'NORMAL' will be written as 'MLANRO' in this code language.