AoPS Wiki:Problem of the Day/September 6, 2011
< AoPS Wiki:Problem of the Day
Revision as of 17:25, 6 September 2011 by Negativebplusorminus (talk | contribs) (Created page with "The integers <math>a,b,c,d</math> satisfy <math>a > b > c > d</math> and \[ a + b + c + d = 2048 \ \textrm{ and }\ a^2 - b^2 + c^2 - d^2 = 2048. \] Find the smallest possible val...")
The integers 
satisfy 
and
\[
a + b + c + d = 2048 \ \textrm{ and }\ a^2 - b^2 + c^2 - d^2 = 2048.
\]
Find the smallest possible value of 
.
