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 MOD 1000000007LL
using namespace std;
typedef long long ll;
typedef pair<int,int> P;

int n,k;
int s;
int ans[100005];
int mx=1000000000;

int main(void){
	scanf("%d%d%d",&n,&k,&s);
	if(k==0){
		if(s>=n+1){
			for(int i=0;i<n;i++){
				ans[i]=1;
			}
		}else{
			for(int i=0;i<n;i++){
				ans[i]=mx;
			}
		}
	}else{
		for(int i=0;i<k;i++){
			ans[i]=s;
		}
		if(s==mx){
			for(int i=k;i<n;i++){
				ans[i]=1;
			}
		}else{
			for(int i=k;i<n;i++){
				ans[i]=mx;
			}
		}
	}
	for(int i=0;i<n;i++){
		printf("%d%c",ans[i],i+1==n?'\n':' ');
	}
	return 0;
}