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 Rust (1.42.0) (judge verdict: Wrong Answer)

// -*- coding:utf-8-unix -*-

use proconio::input;

fn main() {
    input! {
        n: u32,
        k: u32,
        s: u32,
    }

    if n == 1 {
        if k == 0 {
            if s == 10u32.pow(9) {
                println!("1");
            } else {
                println!("{}", s + 1);
            }
        } else {
            println!("{}", s);
        }
        return;
    }

    let a = s / 2;
    let b = s - a;
    for i in 0..n {
        if i <= k {
            if i % 2 == 0 {
                print!("{}", a);
            } else {
                print!("{}", b);
            }
        } else {
            if s == 10u32.pow(9) {
                print!("1");
            } else {
                print!("{}", s + 1);
            }
        }

        if i != n - 1 {
            print!(" ");
        } else {
            println!("");
        }
    }
}