Problem:
Structured Programming

In programming languages like C/C++, a goto statement provides an unconditional jump from the "goto" to a labeled statement. For example, a statement "goto CHECK_NUM;" is executed, control of the program jumps to CHECK_NUM. Using these constructs, you can implement, for example, loops.

Note that use of goto statement is highly discouraged, because it is difficult to trace the control flow of a program which includes goto.

Write a program which does precisely the same thing as the following program (this example is wrtten in C++). Let's try to write the program without goto statements.

void call(int n){
int i = 1;
CHECK_NUM:
int x = i;
if ( x % 3 == 0 ){
cout << " " << i;
goto END_CHECK_NUM;
}
INCLUDE3:
if ( x % 10 == 3 ){
cout << " " << i;
goto END_CHECK_NUM;
}
x /= 10;
if ( x ) goto INCLUDE3;
END_CHECK_NUM:
if ( ++i <= n ) goto CHECK_NUM;

cout << endl;
}

Input

An integer n is given in a line.

Output

Print the output result of the above program for given integer n.

Constraints

3 ≤ n ≤ 10000

Sample Input

30

Sample Output

3 6 9 12 13 15 18 21 23 24 27 30

Put a single space character before each element.

Solution in Scala (judge verdict: Memory Limit Exceeded)

object Main extends App {
	override def main(args: Array[String]) = {
		val sc = new java.util.Scanner(System.in)
		
		val n = sc.nextInt
		
		val sb:StringBuilder = new StringBuilder("")
		val res = (1 to n).filter(check).map(" " + _).reduceLeft((z,n) => z + n)

		println(res)
	}
	
	def check(x : Int):Boolean = {
		check_mod3(x) ||
		check_contains3(x)
	}
	
	def check_mod3(x :Int):Boolean = {
		x % 3 == 0
	}
	def check_contains3(x : Int):Boolean = {
		val mod = x % 10
		if(mod == 3){
			return true
		}
		if(x / 10 > 0){
			return check_contains3(x/10)
		}
		return false
	}
}