[Credits - Deekonda Saikrishna]

y^2 - x^2 = 1296 (Pythagoras theorem)

max value of x comes when y - x in min

so y - x =2

y + x = 648

y= 375 , x = 373 z = 36

min value of x > 36

smallest pyth triplets 3, 4, 5

36 = 3 * 12

so other sides = 4 * 12, 5 * 12

max - min areas = (18 * ( 323 - 48) = 4950