Substitute each of the capital letters in bold by a different base ten digit from 0 to 9 such that each of **EEN**, **VIER** and **NEGEN** is a perfect square. None of the numbers can contain any leading zero.

Disregarding the non leading zero condition, if we additionally impose the restriction that **GIVEN** is divisible by 23, then what will be the corresponding substitution?

solution aided by spreadsheet

1ST - NO LEADNG ZEROES

**EEN=441 NEGEN=14641 VIER= 3249**

**2nd stage: een=004 negen=40804 , given=86204 vier=2601 **

1st-very easy ; 441 being an obvious choice

2nd- more tricky

edited to correct a minor typo

*Edited on ***August 17, 2010, 6:46 pm**