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 C# (Mono 4.6.2.0) (judge verdict: Time Limit Exceeded)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace AtCoder_20190707_1
{    class Program
    {
        static void Main(string[] args)
        {
            string[] s = Console.ReadLine().Split(' ');

            int N = int.Parse(s[0]);
            int K = int.Parse(s[1]);
            int S = int.Parse(s[2]);

            string answer = "";

            for(int i = 0; i < K; i++)
            {
                answer += S + " ";
            }

            for(int i = K; i < N; i++)
            {
                if (S == 1e9)
                {
                    answer += "1 ";
                }
                else
                {
                    answer += 1e9 + " ";
                }
            }

            Console.WriteLine(answer.Trim());
        }
    }
}