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>

#define REP(i ,n) for(int i=0 ;i < n; i++)
#define REPB(i ,n) for(int i=n; i >= 0; i--)
#define FOR(i ,m ,n) for(int i=m; i < n; i++)
#define FORB(i, m, n) for(int i=m; i>= n; i--)
#define ll long long
#define pb push_back
#define popb pop_back
#define debug(i) cout<< #i<< "= "<< i << endl
using namespace std;

int main(){
    int n,k,s;
    cin >> n >> k >> s;

    REP(i,k){
        cout << s << " ";
    }
    if(k != n){
            if(s == 1e9){
            FOR(i,k,(n-1)){
                cout << 1 << " ";
            }
            cout << 1 << endl;
        }else{
            FOR(i,k,(n-1)){
                cout << s+1 << " ";
            }
            cout << s+1 << endl;
        }
    }
    
}