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())
if N % 2 == 0:
    A = [S // 2 if i % 2 == 0 else S //2 + 1 for i in range(K)]
    B = [1]
    C = [S - 1 for _ in range(N - K -1)]
    print(A + B + C)
else:
    A = [S // 2 if i % 2 == 0 else S //2 + 1 for i in range(K)]
    B = [S//2]
    C = [S - 1 if S-1 + S//2 != S else S-2 for _ in range(N - K - 1)]
    print(A+B+C)