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50320 - Random Sorted List

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Time limit 2000/4000/4000/4000 ms. Memory limit 65000/65000/65000/65000 Kb.
Problem By Ibrahim Mesecan.

Random Sorted List

For his experiments, your professor wants to use sorted lists with n elements. The list will be produced randomly, but at the same time he needs the list to be sorted in ascending order.

Question: Write a program that that produces random but sorted list where

  • the list has n elements and
  • the difference between any two consecutive list elements is smaller than k (between 0 and k-1)
Note: Nearly all programming languages have a randum number function. For C/C++, you can use rand() function (from stdlib.h library) to produce a random number. For Example, in the statement:
  r = rand()%10;
r will have a random value between 0 and 9.

Input specification
You will be given 2 integers: n, k; where n is between 1 and 5000 and 1 ≤ k ≤ 50.

Output specification
(Assume that the previous number before the first number is 0) Show the sorted list separated by spaces

 Sample Input I   
  10 5
 Sample Input II   
  15 4
 Sample Output I   
  3 5 7 11 11 11 13 16 17 17   
 Sample Output II   
  2 4 7 10 12 14 17 18 20 20 23 23 23 24 25  


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