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 PyPy3 (2.4.0) (judge verdict: Wrong Answer)

n,k,s = map(int,input().split())
if k == n:
    a = [s for _ in range(n)]
    print(*a)
    exit()
else:
    if s == 1:
        a = [1 for _ in range(k)] + [10**9 for _ in range(n-k)]
        print(*a)
        exit()
    elif k == 0 and s == 10**9:
        a = [10**9-1 for _ in range(n)]
        print(*a)
        exit()
    else:
        a = []
        for i in range(k+1):
            if i%2 == 0:
                a.append(1)
            else:
                a.append(s-1)
        for i in range(n-k-1):
            a.append(10**9)
        print(*a)