To determine the code for 'ENTANGLE' based on 'MERCURY' being coded as 'NGUGZXF', we analyze the established coding pattern. The provided example demonstrates the shifts applied:
| Letter | M | E | R | C | U | R | Y |
|---|---|---|---|---|---|---|---|
| Coded | N | G | U | G | Z | X | F |
The coding involves an incremental alphabetical shift for each letter. The specific shifts are as follows:
| Step | Original | Shift | Coded |
|---|---|---|---|
| 1 | M | M→N (1 position forward) | N |
| 2 | E | E→G (2 positions forward) | G |
| 3 | R | R→U (3 positions forward) | U |
| 4 | C | C→G (4 positions forward) | G |
| 5 | U | U→Z (5 positions forward) | Z |
| 6 | R | R→X (6 positions forward) | X |
| 7 | Y | Y→F (7 positions forward, with alphabet wrap-around) | F |
This pattern applies a forward alphabetical shift that increases by one for each successive letter. Applying this rule to 'ENTANGLE' yields:
| Step | Original | Shift | Coded |
|---|---|---|---|
| 1 | E | E→F (1 position forward) | F |
| 2 | N | N→P (2 positions forward) | P |
| 3 | T | T→W (3 positions forward) | W |
| 4 | A | A→E (4 positions forward) | E |
| 5 | N | N→S (5 positions forward) | S |
| 6 | G | G→M (6 positions forward) | M |
| 7 | L | L→S (7 positions forward) | S |
| 8 | E | E→M (8 positions forward) | M |
Therefore, the coded representation of 'ENTANGLE' is 'FPWESMSM', derived by consistently applying the established incremental shifting rule.
The final coded word is: FPWESMSM