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++ (GCC 9.2.1) (judge verdict: Wrong Answer)

/**
*    author:  yuya1234
*    created: 13.07.2020 14:46:51
**/

#include <bits/stdc++.h>

using namespace std;
typedef long long ll;

#define REP(i,n) for(ll i=0;i<(ll)(n);i++)
#define REPD(i,n) for(ll i=n-1;i>=0;i--)
#define FOR(i,a,b) for(ll i=a;i<=(ll)(b);i++)
#define FORD(i,a,b) for(ll i=a;i>=(ll)(b);i--)
#define FORV(i,v) for(auto i=v.begin(); i!=v.end();i++)

#define SORT(s) sort((s).begin(),(s).end())
#define SORTD(s) sort((s).rbegin(),(s).rend())
#define UNIQUE(v) v.erase( unique(v.begin(), v.end()), v.end() );

#define SZ(x) ((int)(x).size())
#define MEMSET(v, h) memset((v), h, sizeof(v))

template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; }
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a=b; return 1; } return 0; }
int gcd(int a,int b){return b?gcd(b,a%b):a;}

int main() {
  cin.tie(0);
  ios_base::sync_with_stdio(false);
  //std::cout << std::fixed << std::setprecision(15);

  int n,k,s;
  cin>>n>>k>>s;

  int kari=100000;
  if(kari==s)kari--;

  REP(i,n-1){
    if(k>0)cout<<s<<" ";
    else cout<<kari<<" ";
    k--;
  }

  if(k>0)cout<<s<<endl;
  else cout<<kari<<endl;

  return 0;
}