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: Accepted)

using System;
using System.Linq;
using System.Collections.Generic;
using System.IO;

namespace atcorder2
{
    class Program
    {
        public static long Read()
        {
            return long.Parse(Console.ReadLine());
        }

        public static long[] Reads()
        {

            return Console.ReadLine().Split().Select(long.Parse).ToArray();
        }

        public static long C(long n, long k)
        {
            long bunbo = 1;
            long bunsi = 1;
            for (long i = n - k; i <= n; i++)
                bunsi *= i;
            for (long i = 1; i <= n - k; i++)
                bunbo *= i;
            return bunsi / bunbo;
        }
        static void Main(string[] args)
        {
            var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
            Console.SetOut(sw);
            var input = Reads();
            var n = input[0];
            var k = input[1];
            var s = input[2];
            if (s - (n - k) <= 0)
            {
                for (int i = 1; i <= n; i++)
                {
                    if (i <= k) Console.Write("{0} ", s);
                    else if (i <= n) Console.Write("{0} ",s+1);
                }
            }
            else
            {
                for (int i = 1; i <= n; i++)
                {
                    if (i <= k) Console.Write("{0} ", s);
                    else if (i < n) Console.Write("1 ");
                    else Console.Write(1);
                }
            }


      


            Console.Out.Flush();
        }
    }
}