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++ (GCC 9.2.1) (judge verdict: Wrong Answer)

// 及时当勉励，岁月不待人！
//当前状态 : attempted
#include<iostream>
#include<cstring>
#include<cstdio>
#include<algorithm>
#include<queue>
#include<stack>
#include<vector>
#include<cmath>
#include<string>
#include<iomanip>
using namespace std;
typedef long long ll;

const int inf=0x3f3f3f3f;
const ll INF = 0x3f3f3f3f3f3f3f3fll;
inline int read(){int ret = 0, sgn = 1;char ch = getchar();while(ch < '0' || ch > '9'){if(ch == '-')sgn = -1;ch = getchar();} while (ch >= '0' && ch <= '9'){ret = ret*10 + ch - '0';ch = getchar();}return ret*sgn;}


//结构体
//全局变量
const int maxn=1005;
//函数
int main()
{
    std::ios::sync_with_stdio(false);
    int n,m,sum;
    cin>>n>>m>>sum;
    int tmp=n-m;
    int k=n-tmp;
    for(int i=1;i<=tmp;++i){
        cout<<0<<" ";
    }
    for(int i=1;i<=k;++i){
        cout<<sum<<" ";
    }
    cout<<endl;
    return 0;
}