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 <bits/stdc++.h>
using namespace std;;
#define rep(i, n) for(int i = 0;i < n;i++)
#define repr(i, n) for(int i = n;i >= 0;i--)
#define FOR(i, m, n) for(int i = m;i < n;i++)
#define FORR(i, m, n) for(int i = m;i >= n;i--)
#define INF 1<<30
#define LINF 1LL<<62
#define all(x) (x).begin(), (x).end()
#define F first
#define S second
#define mp make_pair
#define pb push_back
const int MOD = 1000000007;
 
typedef long long ll;
typedef long double ld;
typedef vector<ll> vl;
typedef pair<ll, ll> P;
typedef pair<ll, P> PP;


int main(){
  ios::sync_with_stdio(false);
  cin.tie(0);
  ll n,k,s;cin >> n>>k >> s;
  vl v(n);
  if(s==1000000000){
    rep(i,n){
      if(i<k)v[i] = s;
      else v[i] = s-1;
    }
  }else{
    rep(i,n){
      if(i<k)v[i] = s;
      else v[i] = 1000000000;
    }
  }
  rep(i,n){
    cout << v[i] << " ";
  }
}