In this 4x4 grid, each of the capital letters in bold represents a different base ten digit from 0 to 9, such that the sum of each of the four columns as well as the sum of each of the four rows is ET.

E   L   M   S
R   E   I   N
A   N  T   I
S   T   E   P

Determine the respective minimum value and the maximum value of ET.

Note: ET is equal to 10*E+ T.

There are four alphametic assignments which meet the specs, two give line totals of 15, and two give 16 (the requested min and max or ET).

Assignments

A    E    I    L    M    N    P    R    S    T

4    1    0   3    9     6    7    8    2     5

4    1    6   9    3     0    7    8    2    5

3    1    0   2    9     7    5    8    4    6

3    1    7   9    2     0    5    8    4    6

Don't miss the bus (the 1553 line)...

Posted by ed bottemiller on 2009-07-31 14:49:29