Codeforces Round #416 (Div. 2) has been moved to start on 27.05.2017 09:05 (UTC).
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A. Two Bags of Potatoes

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputValera had two bags of potatoes, the first of these bags contains *x* (*x* ≥ 1) potatoes, and the second — *y* (*y* ≥ 1) potatoes. Valera — very scattered boy, so the first bag of potatoes (it contains *x* potatoes) Valera lost. Valera remembers that the total amount of potatoes (*x* + *y*) in the two bags, firstly, was not gerater than *n*, and, secondly, was divisible by *k*.

Help Valera to determine how many potatoes could be in the first bag. Print all such possible numbers in ascending order.

Input

The first line of input contains three integers *y*, *k*, *n* (1 ≤ *y*, *k*, *n* ≤ 10^{9}; ≤ 10^{5}).

Output

Print the list of whitespace-separated integers — all possible values of *x* in ascending order. You should print each possible value of *x* exactly once.

If there are no such values of *x* print a single integer -1.

Examples

Input

10 1 10

Output

-1

Input

10 6 40

Output

2 8 14 20 26

Codeforces (c) Copyright 2010-2017 Mike Mirzayanov

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