ebrugulec

def cube(x: Int) : Int = x*x*x

def sumCubes(a:Int, b:Int): Int=
	if(a>b) 0
	else
	cube(a) + sumCubes(a+1, b)

ebrugulec

def sum(f: Int => Int, a: Int, b:Int) : Int =
if(a >b) 0
else f(a) + sum(f, a+1, b)

ebrugulec

def sumCube(a:Int, b:Int) : Int              = def sum(cube, a, b) 
def sumFactorials(a:Int, b:Int): Int	       = def sum(fact, a, b) 

ebrugulec

def cube(x:Int): Int = x*x*x
def fact(x:Int): Int = if(x == 0) 1 else fact(x – 1)

ebrugulec

def sum(f: Int => Int, a:Int, b: Int) = {
def loop(a: Int, acc: Int): Int =
 if (a > b) acc 
else 
loop(a+1, f(a) + acc) 

loop(a,0) 
} 

sum(x => x*x*x, 3,5)     

ebrugulec

def sum(f: Int => Int) (a: Int, b: Int): Int =
  if(a>b) 0
  else f(a) + sum(f)(a+1, b)

ebrugulec

def product(f: Int => Int)(a: Int, b: Int): Int =
	if (a > b) 1
	else f(a) * product(f)(a+1, b)     

ebrugulec

def product(f: Int => Int)(a: Int, b: Int): Int =
	if (a > b) 1
	else f(a) * product(f)(a+1, b)            
	
def fact(n: Int) = product(x=>x)(1,n) 

ebrugulec

class Rational(x: Int, y: Int){
	def numer = x
	def denom = y
}

ebrugulec

def addRational(r: Rational, s: Rational): Rational =
		new Rational(r.numer * s.denom + s.numer * r.denom,
			r.denom * s.denom)