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 Python (3.4.3) (judge verdict: Wrong Answer)

N,K,S=map(int,input().split())
ans=[]

if K==0:
    ans=[S+1]*N
    print(' '.join(map(str,ans)))
    exit()
if S==1:
    ans=[1]*K
    for i in range(N-K):
        ans.append(2)
    print(' '.join(map(str,ans)))
    exit()
if S%2==0:
    ans=[S//2]*(K+1)
    for i in range(N-K-1):
        ans.append(S+1)
    print(' '.join(map(str,ans)))
elif S%2!=0:
    l=S//2
    r=S//2+1
    ans=[]
    for i in range(K+1):
        if i%2==0:
            ans.append(l)
        else:
            ans.append(r)
    for j in range(N-K-1):
        ans.append(S+1)
    print(' '.join(map(str,ans)))