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 JAVA (judge verdict: Wrong Answer)

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
 
public class Main{

  public static void main(String[] args) throws IOException {
    try ( BufferedReader br = new BufferedReader(new InputStreamReader(System.in)) ) {

      String[] lines = br.readLine().split(" ");
      int n = Integer.parseInt(lines[0]);

      call(n);
    }
  }

  public static void call(int n) {
    int i = 1;
    checkNum(n, i);
    System.out.println("");
  }

  public static void checkNum(int n,int i) {
    int x = i;
    if( x % 3 == 0){
      System.out.print(" " + i);
      endCheckNum(n,i);
    } else include3(n,i,x);
  }

  public static void include3(int n,int i,int x){
    if( x % 10 == 3) {
      System.out.print(" " + i);
    }
    x /= 10;
    if(x != 0) include3(n,i,x);
    else endCheckNum(n,i);
  }

  public static void endCheckNum(int n,int i){
    if(++i <= n) checkNum(n,i);
  }
}