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 5.4.1) (judge verdict: Accepted)

#include <stdio.h>

int main(void){

  long n,k,s;
  scanf("%ld %ld %ld", &n, &k, &s);

  long other = s+1;
  if (other > 1000000000) {
    other = 1;
  }

  if (k != 0) {
    printf("%ld", s);
    for (long i = 1; i < k; i++) {
      printf(" %ld", s);
    }
    for (long i = k; i < n; i++) {
      printf(" %ld", other);
    }
  } else {
    printf("%ld", other);
    for (long i = 1; i < n; i++) {
      printf(" %ld", other);
    }
  }

  printf("\n");

  return 0;
}