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>
#define int long long
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
using namespace std;
const int MOD = 1000000007;
const int INF = numeric_limits<int>::max() / 2;
typedef pair<int,int> P;

signed main(){
  cin.tie(nullptr);
  ios::sync_with_stdio(false);

  int N, K, S;
  cin >> N >> K >> S;
  if(K == 0){
    rep(i, N){
      cout << S+1 << ' ';
    }
    cout << endl;
  }
  else{
    cout << S << ' ';
    for(int i=0;i<K-1;i++){
      cout << 0 << ' ';
    }
    for(int i=0;i<N-K;i++){
      cout << S+1 << ' ';
    }
    cout << endl;
  }
}