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<vector>
#include<string>
#include<algorithm>
#include<stack>
#include<queue>
#include<map>
#include<functional>
#include<math.h>

#define rep(i,n) for(ll i=0;i<(n);i++)
typedef long long ll;
using namespace std;

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

	vector<ll> a(n, s+1);
	if (s == 1e+9) {
		rep(i, n) a[i] = 1;
	}
	else {
		rep(i, k) a[i] = s;
	}

	rep(i, n) cout << a[i] << endl;

	return 0;
}