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Dwarves and Coins

The Situation:

Several (M) dwarves have found a goblin's chest with N gold coins and have to divide them. Due to ancient rules governing the allocation of loot to pirates in order of seniority, the oldest dwarf should get one coin more than the next oldest dwarf, and so on, so that the youngest dwarf gets M-1 fewer coins than the oldest dwarf. Additionally, no dwarf has to pitch in any coins (ie no negative coins to any dwarfs)

Help the dwarves to divide the coins in this way, or tell them that this is impossible.

Winner's code must always answer correctly (this challenge is deterministic) and follow the general code-golf rules.

Input

You are given an integer N (3 ≤ N ≤ 1000) for number of coins and an integer M (3 ≤ M ≤ N) for number of dwarves, space-separated.

Output

If it is impossible to divide the coins in the way that dwarves want, print -1 (minus one). Otherwise, print the numbers of coins that each dwarf will receive, from oldest to youngest. Separate the numbers with spaces.

Samples:

input

3 3

output

2 1 0

input

9 3

output

4 3 2

input

7 3

output

-1

input

6 4

output

3 2 1 0

Answer*

Python 3 - <strike>109</strike> <strike>107</strike> <strike>103</strike> <strike>102</strike> <strike>90</strike> 93
==============
Using the same idea as Evpok, but with a number of improvements.

 n,m=map(int,input().split())
 k=n/m+m/2
 a=int(k)
 print(*(range(a,a-m,-1),[-1])[k-a-.5or~a>-m])

The improvements are:

1. Eliminating the space after else and before ' '. 1 character
2. Eliminating the ' ' inside split(), because splitting on spaces is a default. 3 characters
3. Lowering x by 1 changing the -1 to +1 inside divmod, and then changing the range function to use the range's reversed order option. 3 characters.
4. EDIT: ... if ... else ... changed to ... and ... or ... 2 characters.
5. EDIT: Divmod made explicit, r removed. 4 characters.
6. EDIT: x removed, m//n used explicitly. 1 character
7. EDIT: used starred expressions instead of ' '.join(map(str,...)), added x to avoid repeating print(). 12 characters. 
8. EDIT: I realized that I was allowing negative numbers of coins to be given to the Dwarves. I changed the code to avoid this.

If this is an answer to a challenge…

…Be sure to follow the challenge specification. However, please refrain from exploiting obvious loopholes. Answers abusing any of the standard loopholes are considered invalid. If you think a specification is unclear or underspecified, comment on the question instead.
…Try to optimize your score. For instance, answers to code-golf challenges should attempt to be as short as possible. You can always include a readable version of the code in addition to the competitive one. Explanations of your answer make it more interesting to read and are very much encouraged.
…Include a short header which indicates the language(s) of your code and its score, as defined by the challenge.

More generally…

…Please make sure to answer the question and provide sufficient detail.
…Avoid asking for help, clarification or responding to other answers (use comments instead).

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Edit Summary*

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\$\begingroup\$ Well done, it was instructive :) I changed my answer to strip the unnecessary space, but your trick to save the [::-1] is better than my solution. +1 \$\endgroup\$

Evpok
– Evpok

2014年04月04日 08:24:50 +00:00
Commented Apr 4, 2014 at 8:24
\$\begingroup\$ I may be missing something, but I counted 93 bytes instead of 94. \$\endgroup\$

Jonathan Frech
– Jonathan Frech

2017年09月16日 07:37:53 +00:00
Commented Sep 16, 2017 at 7:37

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