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>
using namespace std;

#define d(x) cerr << #x ":" << x << endl;
#define dd(x, y) cerr << "(" #x "," #y "):(" << x << "," << y << ")" << endl
#define rep(i, n) for (int i = (int)(0); i < (int)(n); i++)
#define repp(i, a, b) for (int i = (int)(a); i < (int)(b); i++)
#define all(v) v.begin(), v.end()
#define dump(v)                  \
    cerr << #v ":[ ";            \
    for (auto macro_vi : v) {    \
        cerr << macro_vi << " "; \
    }                            \
    cerr << "]" << endl;
using lint       = long long;
const int INF    = 1e9;
const lint LINF  = 1e18;
const lint MOD   = 1e9 + 7;
const double EPS = 1e-10;

int main() {
    int n, k, s;
    cin >> n >> k >> s;
    vector<int> A(n, 0);
    for (int i = 0; i < k; i++) {
        A[i] = s;
    }
    for (int i = k; i < n; i++) {
        A[i] = 1e9;
    }

    for (int i = 0; i < n; i++) {
        cout << A[i] << " ";
    }
    cout << endl;

    return 0;
}