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>
using namespace std;
typedef unsigned long long ull;
typedef long long ll;
#define rep(i, a, b) for(int i=a; i<b; i++)
#define per(i, a, b) for(int i=b-1; i>=a; i--)
#define ifor(n) for(int i=0;i<n;i++) 
#define jfor(n) for(int j=0;j<n;j++)
#define Ifor(n) for(int i=1;i<n;i++) 
#define Jfor(n) for(int j=1;j<n;j++)
const int inf=0x3f3f3f3f;
int main(){
	int n,k,s;
	cin>>n>>k>>s;
	ifor(k)cout<<s<<" ";
	if(s<1000000000){
		n=n-k;
		ifor(n)cout<<s+1<<" ";
	}
	else{
		n=n-k;
		ifor(n)cout<<s-1<<" ";
	}
	cout<<endl;
}