A11388. Proper Nutrition

Vasya has $n$ burles. One bottle of Ber-Cola costs $a$ burles and one Bars bar costs $b$ burles. He can buy any non-negative integer number of bottles of Ber-Cola and any non-negative integer number of Bars bars.

Find out if it's possible to buy some amount of bottles of Ber-Cola and Bars bars and spend exactly $n$ burles.

In other words, you should find two non-negative integers $x$ and $y$ such that Vasya can buy $x$ bottles of Ber-Cola and $y$ Bars bars and $x·a+y·b=n$ or tell that it's impossible.

First line contains single integer $n$ ( $1<=n<=10000000$ ) — amount of money, that Vasya has.

Second line contains single integer $a$ ( $1<=a<=10000000$ ) — cost of one bottle of Ber-Cola.

Third line contains single integer $b$ ( $1<=b<=10000000$ ) — cost of one Bars bar.

If Vasya can't buy Bars and Ber-Cola in such a way to spend exactly $n$ burles print «NO» (without quotes).

Otherwise in first line print «YES» (without quotes). In second line print two non-negative integers $x$ and $y$ — number of bottles of Ber-Cola and number of Bars bars Vasya should buy in order to spend exactly $n$ burles, i.e. $x·a+y·b=n$ . If there are multiple answers print any of them.

Any of numbers $x$ and $y$ can be equal $0$ .

In first example Vasya can buy two bottles of Ber-Cola and one Bars bar. He will spend exactly $2·2+1·3=7$ burles.

In second example Vasya can spend exactly $n$ burles multiple ways:

- buy two bottles of Ber-Cola and five Bars bars;
- buy four bottles of Ber-Cola and don't buy Bars bars;
- don't buy Ber-Cola and buy $10$ Bars bars.

In third example it's impossible to but Ber-Cola and Bars bars in order to spend exactly $n$ burles.