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 <iostream>
#include <algorithm>
#include <string>
#include <math.h>
#include <bitset>
#include <vector>
#include <queue>
#include <map>
#include <set>

#define i64 int64_t
#define ff(ii,nn,mm) for(int ii=nn;ii<mm;ii++)
#define ffrvs(ii,nn,mm) for(int ii=nn;ii>=mm;ii--)
#define srt(vvv) sort(vvv.begin(),vvv.end())
#define srtrvs(vvv) reverse(vvv.begin(),vvv.end())
#define Graph vector<vector<int>>
i64 inf = 1000000007;
i64 giant = 4000000000000000037;

using namespace std;

//メモリ置き場
int n, k, s;

//inputします
void input() {
    cin >> n >> k >> s;
}

//ライブラリ置き場



//main
int main() {
    input();
    cout << s;
    ff(i, 1, k) {
        cout << " " << s;
    }
    if (s == 1000000000)s -= 2;
    ff(i, k, n) {
        cout << " " << s + 1;
    }
    cout << endl;
    return 0;
}