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: Wrong Answer)

#include <bits/stdc++.h>
using namespace std;
#define rep(i,n) for(long long i=0;i<(long long)(n);i++)
#define love emplace_back
using vi=vector<int>;
template<class T> void I_love(T v){rep(i,v.size()){if(i)cout<<' ';cout<<v[i];}cout<<'\n';}

int main(){
  ios::sync_with_stdio(false);
  cin.tie(0);
  int n,k,s;
  cin>>n>>k>>s;
  vi MIIHI;
  rep(i,k) MIIHI.love(s);
  if(n==1000000000) rep(i,n-k) MIIHI.love(1);
  else rep(i,n-k) MIIHI.love(s+1);
  I_love(MIIHI);
}