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 erep(i,n) for(int i = 0;i<=n;i++)
#define rep1(i,n) for(int i = 1;i<n;i++)
#define erep1(i,n) for(int i = 1;i<=n;i++)
typedef long long ll;
#define vint vector<int>
#define vvint vector<vector<int>>
#define vstring vector<string>
#define vdouble vector<double>
#define vll vector<ll>:
#define vbool vector<bool>
#define INF 100000000000000009
#define int long long
using P = pair<int,int>;
signed main(){
  int n,k,s;
  cin >> n >> k >> s;
  rep(i,k){
    cout << s << " ";
  }
  int num = 1;
  while(s % num == 0){
    num++;
  }
  rep(i,n-k){
    cout << num << " ";
  }
}