# Enigmatic Code

Programming Enigma Puzzles

## Enigma 1615: Slide enlarger

From New Scientist #2780, 2nd October 2010 [link]

ENIGMA represents a six-digit number in which the digits are all different and non-zero.

When EN slides from the front to the back, the resulting six-digit number, IGMAEN, is 20 per cent larger than ENIGMA.

What is ENIGMA?

[enigma1615]

### 2 responses to “Enigma 1615: Slide enlarger”

1. jimrandell 28 December 2011 at 4:22 pm

This straightforward Python program runs in 175ms.

```from itertools import permutations
from enigma import printf

for (E, N, I, G, M, A) in permutations('123456789', 6):
ENIGMA = int(''.join((E, N, I, G, M, A)))
IGMAEN = int(''.join((I, G, M, A, E, N)))
if 5 * IGMAEN != 6 * ENIGMA: continue
printf("ENIGMA = {ENIGMA}, IGMAEN = {IGMAEN}")
```

Solution: ENIGMA = 384615.

• jimrandell 28 December 2011 at 4:26 pm

This slightly modified version runs slightly faster (170ms).

```from itertools import permutations
from enigma import printf

for s in permutations('123456789', 6):
ENIGMA = int(''.join(s))
IGMAEN = int(''.join(s[2:] + s[:2]))
if 5 * IGMAEN != 6 * ENIGMA: continue
printf("ENIGMA = {ENIGMA}, IGMAEN = {IGMAEN}")
```