Problem:
Score : 400 points

Problem Statement

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

Sample Input 1

4 2 3

Sample Output 1

1 2 3 4

Two pairs (l, r) = (1, 2) and (3, 3) satisfy the condition in the statement.

Sample Input 2

5 3 100

Sample Output 2

50 50 50 30 70

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)


import java.util.Scanner;

public class Main {
    public static void main(final String[] args) {
        final Scanner scanner = new Scanner(System.in);
        final int n = scanner.nextInt();
        final int k = scanner.nextInt();
        final int s = scanner.nextInt();

        if (n == k) {
            for (int i = 0; i < k; i++) {
                System.out.print(s + " ");
            }
            return;
        }

        int dummy = s == 1000000000 ? 999999999 : 1000000000;

        if (s % 2 == 0) {
            for (int i = 0; i < n; i++) {
                if (i <= k) {
                    System.out.print(s / 2 + " ");
                } else {
                    System.out.println(dummy + " ");
                }
            }
        } else {
            for (int i = 0; i < n; i++) {
                if (i <= k) {
                    if (i % 2 == 0) {
                        System.out.print((s / 2 + 1) + " ");
                    } else {
                        System.out.print(s / 2 + " ");
                    }
                } else {
                    System.out.println(dummy + " ");
                }
            }
        }
    }
}