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)

//Author ::  ABHINAV3010 ::

#include<bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define pb push_back
#define fast ios_base::sync_with_stdio(false)
typedef long long ll;
typedef pair<ll,ll> p;
ll mod=1000000007;
ll gcd(ll a,ll b)
{
    return (b==0)?a:gcd(b,a%b);
}
ll power(ll x, ll y, ll p=mod)
{ll res = 1;x = x % p;while (y > 0){if (y & 1){res = (res*x) % p;}y = y>>1;x = (x*x) % p;}return res;}
int main()
{
fast;
ll n,k,s;
cin>>n>>k>>s;
vector<ll>ans;
for(ll i=0;i<k;i++)
{
    ans.pb(s);
}
ll x=1e9;
if(x==s)
{
    x--;
}
for(ll i=k;i<n;i++)
{
 ans.pb(x);
}
for(ll i=0;i<n;i++)
{
    cout<<ans[i]<<" ";
}
return 0;
}