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++14 (GCC 5.4.1) (judge verdict: Accepted)

//#include <boost/multiprecision/cpp_dec_float.hpp>
//#include <boost/multiprecision/cpp_int.hpp>
#include <stdio.h>
#include <iostream>
#include <vector>
#include <string>
#include <set>
#include <map>
#include <queue>
#include <stack>
#include <math.h>
#include <algorithm>
#include <bitset>
#include <iomanip>
using namespace std;
//namespace mp = boost::multiprecision;
//using llll = mp::cpp_int;
// 仮数部が1024ビットの浮動小数点数型(TLEしたら小さくする)
//using Real = mp::number<mp::cpp_dec_float<1024>>;
using ll = long long;
const double EPS = 1e-10;
const ll MOD = 7+(1e+9);

int main(){
  //cout<<fixed<<setprecision(10);
  ll n,k,s,ans=0;
  cin>>n>>k>>s;
  vector<ll>v(n,0);
  if(s==1e9){
    ll i=0;
    for(;i<k;i++){
      v[i]=1e9;
    }
    for(;i<n;i++){
      v[i]=1e9-1;
    }
  }
  else{
    ll i=0;
    for(;i<k;i++){
      v[i]=s;
    }
    for(;i<n;i++){
      v[i]=1e9;
    }
  }
  for(ll i=0;i<n-1;i++){
    cout<<v[i]<<" ";
  }
  cout<<v[n-1]<<endl;
}