Problem: Given are three integers N, K, and S.

Find a sequence A_1, A_2, ..., A_N of N integers between 1 and 10^9 (inclusive) that satisfies the condition below. We can prove that, under the conditions in Constraints, such a sequence always exists.

* There are exactly K pairs (l, r) of integers such that 1 \leq l \leq r \leq N and A_l + A_{l + 1} + \cdots + A_r = S.

Constraints

* 1 \leq N \leq 10^5
* 0 \leq K \leq N
* 1 \leq S \leq 10^9
* All values in input are integers.

Input

Input is given from Standard Input in the following format:


N K S


Output

Print a sequence satisfying the condition, in the following format:


A_1 A_2 ... A_N

Output

Print a sequence satisfying the condition, in the following format:


A_1 A_2 ... A_N

Examples

Input

4 2 3


Output

1 2 3 4


Input

5 3 100


Output

50 50 50 30 70

Solution (in JAVA):

Solution:
import java.util.*;
 
public class Main {
    public static void main(String args[]){
        Scanner stdIn = new Scanner(System.in);
 
        int n = stdIn.nextInt();
        int k = stdIn.nextInt();
        int s = stdIn.nextInt();
        //int x = stdIn.nextInt();
        //int x[] = new int[n];
        //int l[] = new int[n];
        //String s = stdIn.next();
        //String t = stdIn.next();
        //char c[] = s.toCharArray();
        
        //c[0] += 1;
        //int sum = 0;
        //boolean flag = true;
        
        for(int i = 0; i < n - 1; i++){
            if(i < k){
                System.out.print(s + " ");
            }else if(s == 1000000000){
                System.out.print((s - 1) + " ");
            }else{
                System.out.print((s + 1) + " ");
            }
            
        }
        
        for(int i = n - 1; i < n; i++){
            if(i < k){
                System.out.println(s);
            }else if(s == 1000000000){
                System.out.println(s - 1);
            }else {
                System.out.println(s + 1);
            }
        }
        
        //System.out.println();
        //System.out.print();
 
        stdIn.close();
    }
}